Identifier
Mp00064:
Permutations
—reverse⟶
Permutations
Mp00126: Permutations —cactus evacuation⟶ Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Mp00126: Permutations —cactus evacuation⟶ Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Images
=>
Cc0010;cc-rep-3
[1]=>[1]=>[1]=>[.,.]
[1,2]=>[2,1]=>[2,1]=>[[.,.],.]
[2,1]=>[1,2]=>[1,2]=>[.,[.,.]]
[1,2,3]=>[3,2,1]=>[3,2,1]=>[[[.,.],.],.]
[1,3,2]=>[2,3,1]=>[2,1,3]=>[[.,.],[.,.]]
[2,1,3]=>[3,1,2]=>[1,3,2]=>[.,[[.,.],.]]
[2,3,1]=>[1,3,2]=>[3,1,2]=>[[.,.],[.,.]]
[3,1,2]=>[2,1,3]=>[2,3,1]=>[[.,[.,.]],.]
[3,2,1]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[1,2,3,4]=>[4,3,2,1]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[1,2,4,3]=>[3,4,2,1]=>[3,2,1,4]=>[[[.,.],.],[.,.]]
[1,3,2,4]=>[4,2,3,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[1,3,4,2]=>[2,4,3,1]=>[4,2,1,3]=>[[[.,.],.],[.,.]]
[1,4,2,3]=>[3,2,4,1]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[1,4,3,2]=>[2,3,4,1]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[2,1,3,4]=>[4,3,1,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[2,1,4,3]=>[3,4,1,2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[2,3,1,4]=>[4,1,3,2]=>[4,1,3,2]=>[[.,.],[[.,.],.]]
[2,3,4,1]=>[1,4,3,2]=>[4,3,1,2]=>[[[.,.],.],[.,.]]
[2,4,1,3]=>[3,1,4,2]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[2,4,3,1]=>[1,3,4,2]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[3,1,2,4]=>[4,2,1,3]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[3,1,4,2]=>[2,4,1,3]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[3,2,1,4]=>[4,1,2,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]
[3,2,4,1]=>[1,4,2,3]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]
[3,4,1,2]=>[2,1,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[3,4,2,1]=>[1,2,4,3]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[4,1,2,3]=>[3,2,1,4]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[4,1,3,2]=>[2,3,1,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[4,2,1,3]=>[3,1,2,4]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]
[4,2,3,1]=>[1,3,2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[4,3,1,2]=>[2,1,3,4]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[4,3,2,1]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[1,2,3,4,5]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[1,2,3,5,4]=>[4,5,3,2,1]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]
[1,2,4,3,5]=>[5,3,4,2,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[1,2,4,5,3]=>[3,5,4,2,1]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
[1,2,5,3,4]=>[4,3,5,2,1]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[1,2,5,4,3]=>[3,4,5,2,1]=>[3,2,1,4,5]=>[[[.,.],.],[.,[.,.]]]
[1,3,2,4,5]=>[5,4,2,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[1,3,2,5,4]=>[4,5,2,3,1]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[1,3,4,2,5]=>[5,2,4,3,1]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[1,3,4,5,2]=>[2,5,4,3,1]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[1,3,5,2,4]=>[4,2,5,3,1]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
[1,3,5,4,2]=>[2,4,5,3,1]=>[4,2,1,3,5]=>[[[.,.],.],[.,[.,.]]]
[1,4,2,3,5]=>[5,3,2,4,1]=>[5,3,4,2,1]=>[[[[.,.],[.,.]],.],.]
[1,4,2,5,3]=>[3,5,2,4,1]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[1,4,3,2,5]=>[5,2,3,4,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[1,4,3,5,2]=>[2,5,3,4,1]=>[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]]
[1,4,5,2,3]=>[3,2,5,4,1]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[1,4,5,3,2]=>[2,3,5,4,1]=>[5,2,1,3,4]=>[[[.,.],.],[.,[.,.]]]
[1,5,2,3,4]=>[4,3,2,5,1]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[1,5,2,4,3]=>[3,4,2,5,1]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[1,5,3,2,4]=>[4,2,3,5,1]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,5,3,4,2]=>[2,4,3,5,1]=>[4,2,3,1,5]=>[[[.,.],[.,.]],[.,.]]
[1,5,4,2,3]=>[3,2,4,5,1]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,5,4,3,2]=>[2,3,4,5,1]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[2,1,3,4,5]=>[5,4,3,1,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,1,3,5,4]=>[4,5,3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[2,1,4,3,5]=>[5,3,4,1,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,1,4,5,3]=>[3,5,4,1,2]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[2,1,5,3,4]=>[4,3,5,1,2]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[2,1,5,4,3]=>[3,4,5,1,2]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[2,3,1,4,5]=>[5,4,1,3,2]=>[5,1,4,3,2]=>[[.,.],[[[.,.],.],.]]
[2,3,1,5,4]=>[4,5,1,3,2]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,3,4,1,5]=>[5,1,4,3,2]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[2,3,4,5,1]=>[1,5,4,3,2]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[2,3,5,1,4]=>[4,1,5,3,2]=>[4,3,1,5,2]=>[[[.,.],.],[[.,.],.]]
[2,3,5,4,1]=>[1,4,5,3,2]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[2,4,1,3,5]=>[5,3,1,4,2]=>[3,1,5,4,2]=>[[.,.],[[[.,.],.],.]]
[2,4,1,5,3]=>[3,5,1,4,2]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[2,4,3,1,5]=>[5,1,3,4,2]=>[5,1,3,4,2]=>[[.,.],[[.,[.,.]],.]]
[2,4,3,5,1]=>[1,5,3,4,2]=>[5,1,3,2,4]=>[[.,.],[[.,.],[.,.]]]
[2,4,5,1,3]=>[3,1,5,4,2]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
[2,4,5,3,1]=>[1,3,5,4,2]=>[5,3,1,2,4]=>[[[.,.],.],[.,[.,.]]]
[2,5,1,3,4]=>[4,3,1,5,2]=>[4,1,5,3,2]=>[[.,.],[[[.,.],.],.]]
[2,5,1,4,3]=>[3,4,1,5,2]=>[3,1,4,2,5]=>[[.,.],[[.,.],[.,.]]]
[2,5,3,1,4]=>[4,1,3,5,2]=>[4,1,3,5,2]=>[[.,.],[[.,[.,.]],.]]
[2,5,3,4,1]=>[1,4,3,5,2]=>[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]]
[2,5,4,1,3]=>[3,1,4,5,2]=>[3,1,4,5,2]=>[[.,.],[[.,[.,.]],.]]
[2,5,4,3,1]=>[1,3,4,5,2]=>[3,1,2,4,5]=>[[.,.],[.,[.,[.,.]]]]
[3,1,2,4,5]=>[5,4,2,1,3]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[3,1,2,5,4]=>[4,5,2,1,3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[3,1,4,2,5]=>[5,2,4,1,3]=>[2,5,1,4,3]=>[[.,[.,.]],[[.,.],.]]
[3,1,4,5,2]=>[2,5,4,1,3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[3,1,5,2,4]=>[4,2,5,1,3]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[3,1,5,4,2]=>[2,4,5,1,3]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[3,2,1,4,5]=>[5,4,1,2,3]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]
[3,2,1,5,4]=>[4,5,1,2,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]
[3,2,4,1,5]=>[5,1,4,2,3]=>[1,5,2,4,3]=>[.,[[.,.],[[.,.],.]]]
[3,2,4,5,1]=>[1,5,4,2,3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[3,2,5,1,4]=>[4,1,5,2,3]=>[1,4,2,5,3]=>[.,[[.,.],[[.,.],.]]]
[3,2,5,4,1]=>[1,4,5,2,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[3,4,1,2,5]=>[5,2,1,4,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[3,4,1,5,2]=>[2,5,1,4,3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,4,2,1,5]=>[5,1,2,4,3]=>[5,1,2,4,3]=>[[.,.],[.,[[.,.],.]]]
[3,4,2,5,1]=>[1,5,2,4,3]=>[5,1,4,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,4,5,1,2]=>[2,1,5,4,3]=>[5,2,1,4,3]=>[[[.,.],.],[[.,.],.]]
[3,4,5,2,1]=>[1,2,5,4,3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[3,5,1,2,4]=>[4,2,1,5,3]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[3,5,1,4,2]=>[2,4,1,5,3]=>[2,1,4,3,5]=>[[.,.],[[.,.],[.,.]]]
[3,5,2,1,4]=>[4,1,2,5,3]=>[4,1,2,5,3]=>[[.,.],[.,[[.,.],.]]]
[3,5,2,4,1]=>[1,4,2,5,3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,5,4,1,2]=>[2,1,4,5,3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[3,5,4,2,1]=>[1,2,4,5,3]=>[4,1,2,3,5]=>[[.,.],[.,[.,[.,.]]]]
[4,1,2,3,5]=>[5,3,2,1,4]=>[3,5,4,2,1]=>[[[.,[[.,.],.]],.],.]
[4,1,2,5,3]=>[3,5,2,1,4]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[4,1,3,2,5]=>[5,2,3,1,4]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[4,1,3,5,2]=>[2,5,3,1,4]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[4,1,5,2,3]=>[3,2,5,1,4]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[4,1,5,3,2]=>[2,3,5,1,4]=>[2,5,1,3,4]=>[[.,[.,.]],[.,[.,.]]]
[4,2,1,3,5]=>[5,3,1,2,4]=>[1,3,5,4,2]=>[.,[[.,[[.,.],.]],.]]
[4,2,1,5,3]=>[3,5,1,2,4]=>[1,3,5,2,4]=>[.,[[.,[.,.]],[.,.]]]
[4,2,3,1,5]=>[5,1,3,2,4]=>[1,5,3,4,2]=>[.,[[[.,.],[.,.]],.]]
[4,2,3,5,1]=>[1,5,3,2,4]=>[1,5,3,2,4]=>[.,[[[.,.],.],[.,.]]]
[4,2,5,1,3]=>[3,1,5,2,4]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]
[4,2,5,3,1]=>[1,3,5,2,4]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[4,3,1,2,5]=>[5,2,1,3,4]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[4,3,1,5,2]=>[2,5,1,3,4]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[4,3,2,1,5]=>[5,1,2,3,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]
[4,3,2,5,1]=>[1,5,2,3,4]=>[1,2,5,3,4]=>[.,[.,[[.,.],[.,.]]]]
[4,3,5,1,2]=>[2,1,5,3,4]=>[2,3,1,5,4]=>[[.,[.,.]],[[.,.],.]]
[4,3,5,2,1]=>[1,2,5,3,4]=>[1,5,2,3,4]=>[.,[[.,.],[.,[.,.]]]]
[4,5,1,2,3]=>[3,2,1,5,4]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[4,5,1,3,2]=>[2,3,1,5,4]=>[2,1,5,3,4]=>[[.,.],[[.,.],[.,.]]]
[4,5,2,1,3]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[[.,.],[.,[[.,.],.]]]
[4,5,2,3,1]=>[1,3,2,5,4]=>[3,1,5,2,4]=>[[.,.],[[.,.],[.,.]]]
[4,5,3,1,2]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[[.,.],[.,[[.,.],.]]]
[4,5,3,2,1]=>[1,2,3,5,4]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[5,1,2,3,4]=>[4,3,2,1,5]=>[4,5,3,2,1]=>[[[[.,[.,.]],.],.],.]
[5,1,2,4,3]=>[3,4,2,1,5]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[5,1,3,2,4]=>[4,2,3,1,5]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[5,1,3,4,2]=>[2,4,3,1,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[5,1,4,2,3]=>[3,2,4,1,5]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[5,1,4,3,2]=>[2,3,4,1,5]=>[2,3,1,4,5]=>[[.,[.,.]],[.,[.,.]]]
[5,2,1,3,4]=>[4,3,1,2,5]=>[1,4,5,3,2]=>[.,[[[.,[.,.]],.],.]]
[5,2,1,4,3]=>[3,4,1,2,5]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[5,2,3,1,4]=>[4,1,3,2,5]=>[1,4,3,5,2]=>[.,[[[.,.],[.,.]],.]]
[5,2,3,4,1]=>[1,4,3,2,5]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]
[5,2,4,1,3]=>[3,1,4,2,5]=>[3,4,1,5,2]=>[[.,[.,.]],[[.,.],.]]
[5,2,4,3,1]=>[1,3,4,2,5]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]
[5,3,1,2,4]=>[4,2,1,3,5]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[5,3,1,4,2]=>[2,4,1,3,5]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[5,3,2,1,4]=>[4,1,2,3,5]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[5,3,2,4,1]=>[1,4,2,3,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]
[5,3,4,1,2]=>[2,1,4,3,5]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[5,3,4,2,1]=>[1,2,4,3,5]=>[1,4,2,3,5]=>[.,[[.,.],[.,[.,.]]]]
[5,4,1,2,3]=>[3,2,1,4,5]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[5,4,1,3,2]=>[2,3,1,4,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[5,4,2,1,3]=>[3,1,2,4,5]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]
[5,4,2,3,1]=>[1,3,2,4,5]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[5,4,3,1,2]=>[2,1,3,4,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[5,4,3,2,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>[6,4,3,2,1,5]=>[[[[[.,.],.],.],.],[.,.]]
[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>[5,4,3,2,6,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,2,3,6,5,4]=>[4,5,6,3,2,1]=>[4,3,2,1,5,6]=>[[[[.,.],.],.],[.,[.,.]]]
[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[1,2,4,3,6,5]=>[5,6,3,4,2,1]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>[6,5,3,2,4,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,2,4,5,6,3]=>[3,6,5,4,2,1]=>[6,5,3,2,1,4]=>[[[[[.,.],.],.],.],[.,.]]
[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>[5,3,2,1,6,4]=>[[[[.,.],.],.],[[.,.],.]]
[1,2,4,6,5,3]=>[3,5,6,4,2,1]=>[5,3,2,1,4,6]=>[[[[.,.],.],.],[.,[.,.]]]
[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>[6,4,3,5,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[1,2,5,3,6,4]=>[4,6,3,5,2,1]=>[4,3,2,6,1,5]=>[[[[.,.],.],[.,.]],[.,.]]
[1,2,5,4,3,6]=>[6,3,4,5,2,1]=>[6,3,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,2,5,4,6,3]=>[3,6,4,5,2,1]=>[6,3,2,4,1,5]=>[[[[.,.],.],[.,.]],[.,.]]
[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[1,2,5,6,4,3]=>[3,4,6,5,2,1]=>[6,3,2,1,4,5]=>[[[[.,.],.],.],[.,[.,.]]]
[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[5,4,3,6,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[1,2,6,3,5,4]=>[4,5,3,6,2,1]=>[4,3,2,5,1,6]=>[[[[.,.],.],[.,.]],[.,.]]
[1,2,6,4,3,5]=>[5,3,4,6,2,1]=>[5,3,2,4,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,2,6,4,5,3]=>[3,5,4,6,2,1]=>[5,3,2,4,1,6]=>[[[[.,.],.],[.,.]],[.,.]]
[1,2,6,5,3,4]=>[4,3,5,6,2,1]=>[4,3,2,5,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,2,6,5,4,3]=>[3,4,5,6,2,1]=>[3,2,1,4,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[1,3,2,4,6,5]=>[5,6,4,2,3,1]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,3,2,5,6,4]=>[4,6,5,2,3,1]=>[6,4,5,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[1,3,2,6,4,5]=>[5,4,6,2,3,1]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,3,2,6,5,4]=>[4,5,6,2,3,1]=>[4,2,5,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>[6,5,2,4,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,3,4,2,6,5]=>[5,6,2,4,3,1]=>[5,4,2,6,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[1,3,4,5,2,6]=>[6,2,5,4,3,1]=>[6,5,4,2,3,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>[6,5,4,2,1,3]=>[[[[[.,.],.],.],.],[.,.]]
[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>[5,4,2,1,6,3]=>[[[[.,.],.],.],[[.,.],.]]
[1,3,4,6,5,2]=>[2,5,6,4,3,1]=>[5,4,2,1,3,6]=>[[[[.,.],.],.],[.,[.,.]]]
[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[6,4,2,5,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,3,5,2,6,4]=>[4,6,2,5,3,1]=>[6,4,2,5,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[1,3,5,4,2,6]=>[6,2,4,5,3,1]=>[6,4,2,3,5,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,3,5,4,6,2]=>[2,6,4,5,3,1]=>[6,4,2,3,1,5]=>[[[[.,.],.],[.,.]],[.,.]]
[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>[6,4,2,1,5,3]=>[[[[.,.],.],.],[[.,.],.]]
[1,3,5,6,4,2]=>[2,4,6,5,3,1]=>[6,4,2,1,3,5]=>[[[[.,.],.],.],[.,[.,.]]]
[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>[5,4,2,6,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,3,6,2,5,4]=>[4,5,2,6,3,1]=>[4,2,1,5,3,6]=>[[[.,.],.],[[.,.],[.,.]]]
[1,3,6,4,2,5]=>[5,2,4,6,3,1]=>[5,4,2,3,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,3,6,4,5,2]=>[2,5,4,6,3,1]=>[5,4,2,3,1,6]=>[[[[.,.],.],[.,.]],[.,.]]
[1,3,6,5,2,4]=>[4,2,5,6,3,1]=>[4,2,1,5,6,3]=>[[[.,.],.],[[.,[.,.]],.]]
[1,3,6,5,4,2]=>[2,4,5,6,3,1]=>[4,2,1,3,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>[6,3,5,4,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[1,4,2,3,6,5]=>[5,6,3,2,4,1]=>[5,3,6,2,1,4]=>[[[[.,.],[.,.]],.],[.,.]]
[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>[6,3,5,2,4,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,4,2,5,6,3]=>[3,6,5,2,4,1]=>[6,3,5,2,1,4]=>[[[[.,.],[.,.]],.],[.,.]]
[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>[5,3,6,2,4,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,4,2,6,5,3]=>[3,5,6,2,4,1]=>[3,2,5,1,4,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,4,3,2,5,6]=>[6,5,2,3,4,1]=>[6,2,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[1,4,3,2,6,5]=>[5,6,2,3,4,1]=>[5,2,3,6,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[1,4,3,5,2,6]=>[6,2,5,3,4,1]=>[6,2,5,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,4,3,5,6,2]=>[2,6,5,3,4,1]=>[6,2,5,3,1,4]=>[[[.,.],[[.,.],.]],[.,.]]
[1,4,3,6,2,5]=>[5,2,6,3,4,1]=>[5,2,3,1,6,4]=>[[[.,.],[.,.]],[[.,.],.]]
[1,4,3,6,5,2]=>[2,5,6,3,4,1]=>[5,2,6,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,4,5,2,6,3]=>[3,6,2,5,4,1]=>[6,3,2,5,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[1,4,5,3,2,6]=>[6,2,3,5,4,1]=>[6,5,2,3,4,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,4,5,3,6,2]=>[2,6,3,5,4,1]=>[6,5,2,3,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>[6,3,2,1,5,4]=>[[[[.,.],.],.],[[.,.],.]]
[1,4,5,6,3,2]=>[2,3,6,5,4,1]=>[6,5,2,1,3,4]=>[[[[.,.],.],.],[.,[.,.]]]
[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,4,6,2,5,3]=>[3,5,2,6,4,1]=>[3,2,1,5,4,6]=>[[[.,.],.],[[.,.],[.,.]]]
[1,4,6,3,2,5]=>[5,2,3,6,4,1]=>[5,2,1,3,6,4]=>[[[.,.],.],[.,[[.,.],.]]]
[1,4,6,3,5,2]=>[2,5,3,6,4,1]=>[5,2,1,6,3,4]=>[[[.,.],.],[[.,.],[.,.]]]
[1,4,6,5,2,3]=>[3,2,5,6,4,1]=>[3,2,1,5,6,4]=>[[[.,.],.],[[.,[.,.]],.]]
[1,4,6,5,3,2]=>[2,3,5,6,4,1]=>[5,2,1,3,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[6,4,5,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]
[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>[4,3,6,2,1,5]=>[[[[.,.],[.,.]],.],[.,.]]
[1,5,2,4,3,6]=>[6,3,4,2,5,1]=>[6,3,4,2,5,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,5,2,4,6,3]=>[3,6,4,2,5,1]=>[6,3,4,2,1,5]=>[[[[.,.],[.,.]],.],[.,.]]
[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>[4,3,6,2,5,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,5,2,6,4,3]=>[3,4,6,2,5,1]=>[3,2,6,1,4,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,5,3,2,4,6]=>[6,4,2,3,5,1]=>[6,2,4,5,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[1,5,3,2,6,4]=>[4,6,2,3,5,1]=>[4,2,3,6,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]
[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>[6,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,5,3,4,6,2]=>[2,6,4,3,5,1]=>[6,2,4,3,1,5]=>[[[.,.],[[.,.],.]],[.,.]]
[1,5,3,6,2,4]=>[4,2,6,3,5,1]=>[4,2,3,1,6,5]=>[[[.,.],[.,.]],[[.,.],.]]
[1,5,3,6,4,2]=>[2,4,6,3,5,1]=>[4,2,6,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,5,4,2,3,6]=>[6,3,2,4,5,1]=>[6,3,4,5,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[1,5,4,2,6,3]=>[3,6,2,4,5,1]=>[3,2,4,6,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]
[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,5,4,3,6,2]=>[2,6,3,4,5,1]=>[6,2,3,4,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]
[1,5,4,6,2,3]=>[3,2,6,4,5,1]=>[3,2,4,1,6,5]=>[[[.,.],[.,.]],[[.,.],.]]
[1,5,4,6,3,2]=>[2,3,6,4,5,1]=>[6,2,3,1,4,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,5,6,2,4,3]=>[3,4,2,6,5,1]=>[3,2,1,6,4,5]=>[[[.,.],.],[[.,.],[.,.]]]
[1,5,6,3,2,4]=>[4,2,3,6,5,1]=>[4,2,1,3,6,5]=>[[[.,.],.],[.,[[.,.],.]]]
[1,5,6,3,4,2]=>[2,4,3,6,5,1]=>[4,2,1,6,3,5]=>[[[.,.],.],[[.,.],[.,.]]]
[1,5,6,4,2,3]=>[3,2,4,6,5,1]=>[3,2,1,4,6,5]=>[[[.,.],.],[.,[[.,.],.]]]
[1,5,6,4,3,2]=>[2,3,4,6,5,1]=>[6,2,1,3,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[5,4,6,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]
[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>[4,3,5,2,1,6]=>[[[[.,.],[.,.]],.],[.,.]]
[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>[5,3,4,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,6,2,4,5,3]=>[3,5,4,2,6,1]=>[5,3,4,2,1,6]=>[[[[.,.],[.,.]],.],[.,.]]
[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>[4,3,5,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,6,2,5,4,3]=>[3,4,5,2,6,1]=>[3,2,4,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,6,3,2,4,5]=>[5,4,2,3,6,1]=>[5,2,4,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[1,6,3,2,5,4]=>[4,5,2,3,6,1]=>[4,2,5,6,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]
[1,6,3,4,2,5]=>[5,2,4,3,6,1]=>[5,2,4,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,6,3,4,5,2]=>[2,5,4,3,6,1]=>[5,2,4,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[1,6,3,5,2,4]=>[4,2,5,3,6,1]=>[4,2,5,1,6,3]=>[[[.,.],[.,.]],[[.,.],.]]
[1,6,3,5,4,2]=>[2,4,5,3,6,1]=>[4,2,3,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,6,4,2,3,5]=>[5,3,2,4,6,1]=>[5,3,4,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[1,6,4,2,5,3]=>[3,5,2,4,6,1]=>[3,2,5,6,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[1,6,4,3,2,5]=>[5,2,3,4,6,1]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,6,4,3,5,2]=>[2,5,3,4,6,1]=>[5,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[1,6,4,5,2,3]=>[3,2,5,4,6,1]=>[3,2,5,1,6,4]=>[[[.,.],[.,.]],[[.,.],.]]
[1,6,4,5,3,2]=>[2,3,5,4,6,1]=>[5,2,3,1,4,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,6,5,2,3,4]=>[4,3,2,5,6,1]=>[4,3,5,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[1,6,5,2,4,3]=>[3,4,2,5,6,1]=>[3,2,4,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[1,6,5,3,2,4]=>[4,2,3,5,6,1]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,6,5,3,4,2]=>[2,4,3,5,6,1]=>[4,2,3,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[1,6,5,4,2,3]=>[3,2,4,5,6,1]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[2,1,3,4,5,6]=>[6,5,4,3,1,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,3,4,6,5]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[2,1,3,5,4,6]=>[6,4,5,3,1,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,1,3,5,6,4]=>[4,6,5,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[[.,.],.]],.],[.,.]]
[2,1,3,6,4,5]=>[5,4,6,3,1,2]=>[5,6,4,1,3,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,1,3,6,5,4]=>[4,5,6,3,1,2]=>[4,5,3,1,2,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[2,1,4,3,5,6]=>[6,5,3,4,1,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,1,4,5,3,6]=>[6,3,5,4,1,2]=>[3,6,5,1,4,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,1,4,5,6,3]=>[3,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,1,4,6,3,5]=>[5,3,6,4,1,2]=>[5,6,3,1,4,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,1,4,6,5,3]=>[3,5,6,4,1,2]=>[3,5,4,1,2,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[2,1,5,3,4,6]=>[6,4,3,5,1,2]=>[4,6,1,5,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,1,5,3,6,4]=>[4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,1,5,4,3,6]=>[6,3,4,5,1,2]=>[3,6,1,4,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,1,5,4,6,3]=>[3,6,4,5,1,2]=>[3,6,1,4,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,1,5,6,3,4]=>[4,3,6,5,1,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,1,5,6,4,3]=>[3,4,6,5,1,2]=>[3,6,4,1,2,5]=>[[.,[[.,.],.]],[.,[.,.]]]
[2,1,6,3,4,5]=>[5,4,3,6,1,2]=>[5,6,1,4,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,1,6,3,5,4]=>[4,5,3,6,1,2]=>[4,5,1,3,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,1,6,4,3,5]=>[5,3,4,6,1,2]=>[3,5,1,4,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,1,6,4,5,3]=>[3,5,4,6,1,2]=>[3,5,1,4,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,1,6,5,3,4]=>[4,3,5,6,1,2]=>[4,5,1,3,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,1,6,5,4,3]=>[3,4,5,6,1,2]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[2,3,1,4,5,6]=>[6,5,4,1,3,2]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,4,6,5]=>[5,6,4,1,3,2]=>[5,4,6,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]
[2,3,1,5,4,6]=>[6,4,5,1,3,2]=>[6,4,5,1,3,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,3,1,5,6,4]=>[4,6,5,1,3,2]=>[6,4,5,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]
[2,3,1,6,4,5]=>[5,4,6,1,3,2]=>[5,4,6,1,3,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,3,1,6,5,4]=>[4,5,6,1,3,2]=>[4,3,5,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[2,3,4,1,5,6]=>[6,5,1,4,3,2]=>[6,5,1,4,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,3,4,1,6,5]=>[5,6,1,4,3,2]=>[5,4,3,6,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[2,3,4,5,1,6]=>[6,1,5,4,3,2]=>[6,5,4,1,3,2]=>[[[[.,.],.],.],[[.,.],.]]
[2,3,4,5,6,1]=>[1,6,5,4,3,2]=>[6,5,4,3,1,2]=>[[[[[.,.],.],.],.],[.,.]]
[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>[5,4,3,1,6,2]=>[[[[.,.],.],.],[[.,.],.]]
[2,3,4,6,5,1]=>[1,5,6,4,3,2]=>[5,4,3,1,2,6]=>[[[[.,.],.],.],[.,[.,.]]]
[2,3,5,1,4,6]=>[6,4,1,5,3,2]=>[6,4,1,5,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,3,5,1,6,4]=>[4,6,1,5,3,2]=>[6,4,3,5,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[2,3,5,4,1,6]=>[6,1,4,5,3,2]=>[6,4,1,3,5,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,3,5,4,6,1]=>[1,6,4,5,3,2]=>[6,4,1,3,2,5]=>[[[.,.],.],[[.,.],[.,.]]]
[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>[6,4,3,1,5,2]=>[[[[.,.],.],.],[[.,.],.]]
[2,3,5,6,4,1]=>[1,4,6,5,3,2]=>[6,4,3,1,2,5]=>[[[[.,.],.],.],[.,[.,.]]]
[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>[5,4,1,6,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,3,6,1,5,4]=>[4,5,1,6,3,2]=>[4,3,1,5,2,6]=>[[[.,.],.],[[.,.],[.,.]]]
[2,3,6,4,1,5]=>[5,1,4,6,3,2]=>[5,4,1,3,6,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,3,6,4,5,1]=>[1,5,4,6,3,2]=>[5,4,1,3,2,6]=>[[[.,.],.],[[.,.],[.,.]]]
[2,3,6,5,1,4]=>[4,1,5,6,3,2]=>[4,3,1,5,6,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,3,6,5,4,1]=>[1,4,5,6,3,2]=>[4,3,1,2,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[2,4,1,3,5,6]=>[6,5,3,1,4,2]=>[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,3,6,5]=>[5,6,3,1,4,2]=>[5,3,6,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[2,4,1,5,3,6]=>[6,3,5,1,4,2]=>[6,3,5,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,4,1,5,6,3]=>[3,6,5,1,4,2]=>[6,3,5,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[2,4,1,6,3,5]=>[5,3,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,4,1,6,5,3]=>[3,5,6,1,4,2]=>[5,3,4,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[2,4,3,1,5,6]=>[6,5,1,3,4,2]=>[6,1,3,5,4,2]=>[[.,.],[[.,[[.,.],.]],.]]
[2,4,3,1,6,5]=>[5,6,1,3,4,2]=>[5,1,3,6,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,4,3,5,1,6]=>[6,1,5,3,4,2]=>[6,1,5,3,4,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,4,3,5,6,1]=>[1,6,5,3,4,2]=>[6,1,5,3,2,4]=>[[.,.],[[[.,.],.],[.,.]]]
[2,4,3,6,1,5]=>[5,1,6,3,4,2]=>[5,1,3,2,6,4]=>[[.,.],[[.,.],[[.,.],.]]]
[2,4,3,6,5,1]=>[1,5,6,3,4,2]=>[5,3,6,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>[6,3,1,5,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,4,5,1,6,3]=>[3,6,1,5,4,2]=>[6,5,3,4,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[2,4,5,3,1,6]=>[6,1,3,5,4,2]=>[6,5,1,3,4,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,4,5,3,6,1]=>[1,6,3,5,4,2]=>[6,5,1,3,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>[6,5,3,1,4,2]=>[[[[.,.],.],.],[[.,.],.]]
[2,4,5,6,3,1]=>[1,3,6,5,4,2]=>[6,5,3,1,2,4]=>[[[[.,.],.],.],[.,[.,.]]]
[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>[5,3,1,6,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,4,6,1,5,3]=>[3,5,1,6,4,2]=>[5,3,1,4,2,6]=>[[[.,.],.],[[.,.],[.,.]]]
[2,4,6,3,1,5]=>[5,1,3,6,4,2]=>[5,3,1,2,6,4]=>[[[.,.],.],[.,[[.,.],.]]]
[2,4,6,3,5,1]=>[1,5,3,6,4,2]=>[5,3,1,6,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[2,4,6,5,1,3]=>[3,1,5,6,4,2]=>[5,3,1,4,6,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,4,6,5,3,1]=>[1,3,5,6,4,2]=>[5,3,1,2,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[2,5,1,3,4,6]=>[6,4,3,1,5,2]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,3,6,4]=>[4,6,3,1,5,2]=>[4,3,6,5,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[2,5,1,4,3,6]=>[6,3,4,1,5,2]=>[3,1,6,4,5,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,5,1,4,6,3]=>[3,6,4,1,5,2]=>[3,1,6,4,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[2,5,1,6,3,4]=>[4,3,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,5,1,6,4,3]=>[3,4,6,1,5,2]=>[6,3,4,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[2,5,3,1,4,6]=>[6,4,1,3,5,2]=>[6,1,4,5,3,2]=>[[.,.],[[[.,[.,.]],.],.]]
[2,5,3,1,6,4]=>[4,6,1,3,5,2]=>[4,1,3,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,5,3,4,1,6]=>[6,1,4,3,5,2]=>[6,1,4,3,5,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,5,3,4,6,1]=>[1,6,4,3,5,2]=>[6,1,4,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[2,5,3,6,1,4]=>[4,1,6,3,5,2]=>[4,1,3,2,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[2,5,3,6,4,1]=>[1,4,6,3,5,2]=>[4,3,6,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[2,5,4,1,3,6]=>[6,3,1,4,5,2]=>[3,1,4,6,5,2]=>[[.,.],[[.,[[.,.],.]],.]]
[2,5,4,1,6,3]=>[3,6,1,4,5,2]=>[6,3,4,5,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[2,5,4,3,1,6]=>[6,1,3,4,5,2]=>[6,1,3,4,5,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[2,5,4,3,6,1]=>[1,6,3,4,5,2]=>[6,1,3,4,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,5,4,6,1,3]=>[3,1,6,4,5,2]=>[6,3,4,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,5,4,6,3,1]=>[1,3,6,4,5,2]=>[6,1,3,2,4,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>[4,3,1,6,5,2]=>[[[.,.],.],[[[.,.],.],.]]
[2,5,6,1,4,3]=>[3,4,1,6,5,2]=>[6,3,1,4,2,5]=>[[[.,.],.],[[.,.],[.,.]]]
[2,5,6,3,1,4]=>[4,1,3,6,5,2]=>[4,3,1,2,6,5]=>[[[.,.],.],[.,[[.,.],.]]]
[2,5,6,3,4,1]=>[1,4,3,6,5,2]=>[4,3,1,6,2,5]=>[[[.,.],.],[[.,.],[.,.]]]
[2,5,6,4,1,3]=>[3,1,4,6,5,2]=>[6,3,1,4,5,2]=>[[[.,.],.],[[.,[.,.]],.]]
[2,5,6,4,3,1]=>[1,3,4,6,5,2]=>[6,3,1,2,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,3,5,4]=>[4,5,3,1,6,2]=>[4,1,5,3,2,6]=>[[.,.],[[[.,.],.],[.,.]]]
[2,6,1,4,3,5]=>[5,3,4,1,6,2]=>[3,1,5,4,6,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,6,1,4,5,3]=>[3,5,4,1,6,2]=>[3,1,5,4,2,6]=>[[.,.],[[[.,.],.],[.,.]]]
[2,6,1,5,3,4]=>[4,3,5,1,6,2]=>[4,1,5,3,6,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,6,1,5,4,3]=>[3,4,5,1,6,2]=>[3,1,4,2,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[2,6,3,1,4,5]=>[5,4,1,3,6,2]=>[5,1,4,6,3,2]=>[[.,.],[[[.,[.,.]],.],.]]
[2,6,3,1,5,4]=>[4,5,1,3,6,2]=>[4,3,5,6,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[2,6,3,4,1,5]=>[5,1,4,3,6,2]=>[5,1,4,3,6,2]=>[[.,.],[[[.,.],[.,.]],.]]
[2,6,3,4,5,1]=>[1,5,4,3,6,2]=>[5,1,4,3,2,6]=>[[.,.],[[[.,.],.],[.,.]]]
[2,6,3,5,1,4]=>[4,1,5,3,6,2]=>[4,3,5,1,6,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,6,3,5,4,1]=>[1,4,5,3,6,2]=>[4,1,3,2,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[2,6,4,1,3,5]=>[5,3,1,4,6,2]=>[3,1,5,6,4,2]=>[[.,.],[[[.,[.,.]],.],.]]
[2,6,4,1,5,3]=>[3,5,1,4,6,2]=>[5,3,4,6,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[2,6,4,3,1,5]=>[5,1,3,4,6,2]=>[5,1,3,4,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[2,6,4,3,5,1]=>[1,5,3,4,6,2]=>[5,1,3,4,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,6,4,5,1,3]=>[3,1,5,4,6,2]=>[5,3,4,1,6,2]=>[[[.,.],[.,.]],[[.,.],.]]
[2,6,4,5,3,1]=>[1,3,5,4,6,2]=>[5,1,3,2,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[2,6,5,1,3,4]=>[4,3,1,5,6,2]=>[4,1,5,6,3,2]=>[[.,.],[[[.,[.,.]],.],.]]
[2,6,5,1,4,3]=>[3,4,1,5,6,2]=>[3,1,4,5,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,6,5,3,1,4]=>[4,1,3,5,6,2]=>[4,1,3,5,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[2,6,5,3,4,1]=>[1,4,3,5,6,2]=>[4,1,3,5,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,6,5,4,1,3]=>[3,1,4,5,6,2]=>[3,1,4,5,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[2,6,5,4,3,1]=>[1,3,4,5,6,2]=>[3,1,2,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[3,1,2,4,5,6]=>[6,5,4,2,1,3]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[3,1,2,4,6,5]=>[5,6,4,2,1,3]=>[5,6,4,2,1,3]=>[[[[.,[.,.]],.],.],[.,.]]
[3,1,2,5,4,6]=>[6,4,5,2,1,3]=>[4,6,5,2,3,1]=>[[[.,[[.,.],.]],[.,.]],.]
[3,1,2,5,6,4]=>[4,6,5,2,1,3]=>[4,6,5,2,1,3]=>[[[.,[[.,.],.]],.],[.,.]]
[3,1,2,6,4,5]=>[5,4,6,2,1,3]=>[5,6,4,2,3,1]=>[[[[.,[.,.]],.],[.,.]],.]
[3,1,2,6,5,4]=>[4,5,6,2,1,3]=>[4,5,2,1,3,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[3,1,4,2,5,6]=>[6,5,2,4,1,3]=>[2,6,1,5,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,4,2,6,5]=>[5,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,1,4,5,2,6]=>[6,2,5,4,1,3]=>[2,6,5,1,4,3]=>[[.,[[.,.],.]],[[.,.],.]]
[3,1,4,5,6,2]=>[2,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[3,1,4,6,2,5]=>[5,2,6,4,1,3]=>[5,6,2,1,4,3]=>[[[.,[.,.]],.],[[.,.],.]]
[3,1,4,6,5,2]=>[2,5,6,4,1,3]=>[2,5,4,1,3,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[3,1,5,2,4,6]=>[6,4,2,5,1,3]=>[4,6,2,5,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[3,1,5,2,6,4]=>[4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,1,5,4,2,6]=>[6,2,4,5,1,3]=>[2,6,1,4,5,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[3,1,5,4,6,2]=>[2,6,4,5,1,3]=>[2,6,1,4,3,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,1,5,6,2,4]=>[4,2,6,5,1,3]=>[4,6,2,1,5,3]=>[[[.,[.,.]],.],[[.,.],.]]
[3,1,5,6,4,2]=>[2,4,6,5,1,3]=>[2,6,4,1,3,5]=>[[.,[[.,.],.]],[.,[.,.]]]
[3,1,6,2,4,5]=>[5,4,2,6,1,3]=>[5,6,2,4,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[3,1,6,2,5,4]=>[4,5,2,6,1,3]=>[4,5,2,3,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,1,6,4,2,5]=>[5,2,4,6,1,3]=>[2,5,1,4,6,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[3,1,6,4,5,2]=>[2,5,4,6,1,3]=>[2,5,1,4,3,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,1,6,5,2,4]=>[4,2,5,6,1,3]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[3,1,6,5,4,2]=>[2,4,5,6,1,3]=>[2,4,1,3,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[3,2,1,4,5,6]=>[6,5,4,1,2,3]=>[1,2,6,5,4,3]=>[.,[.,[[[[.,.],.],.],.]]]
[3,2,1,4,6,5]=>[5,6,4,1,2,3]=>[1,5,6,4,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]
[3,2,1,5,4,6]=>[6,4,5,1,2,3]=>[1,4,6,2,5,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,2,1,5,6,4]=>[4,6,5,1,2,3]=>[1,4,6,5,2,3]=>[.,[[.,[[.,.],.]],[.,.]]]
[3,2,1,6,4,5]=>[5,4,6,1,2,3]=>[1,5,6,2,4,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[3,2,4,1,5,6]=>[6,5,1,4,2,3]=>[1,6,2,5,4,3]=>[.,[[.,.],[[[.,.],.],.]]]
[3,2,4,1,6,5]=>[5,6,1,4,2,3]=>[1,5,4,6,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[3,2,4,5,1,6]=>[6,1,5,4,2,3]=>[1,6,5,2,4,3]=>[.,[[[.,.],.],[[.,.],.]]]
[3,2,4,5,6,1]=>[1,6,5,4,2,3]=>[1,6,5,4,2,3]=>[.,[[[[.,.],.],.],[.,.]]]
[3,2,4,6,1,5]=>[5,1,6,4,2,3]=>[1,5,4,2,6,3]=>[.,[[[.,.],.],[[.,.],.]]]
[3,2,4,6,5,1]=>[1,5,6,4,2,3]=>[5,6,4,1,2,3]=>[[[.,[.,.]],.],[.,[.,.]]]
[3,2,5,1,4,6]=>[6,4,1,5,2,3]=>[1,4,2,6,5,3]=>[.,[[.,.],[[[.,.],.],.]]]
[3,2,5,1,6,4]=>[4,6,1,5,2,3]=>[1,6,4,5,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[3,2,5,4,1,6]=>[6,1,4,5,2,3]=>[4,6,1,2,5,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,2,5,4,6,1]=>[1,6,4,5,2,3]=>[4,6,1,5,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,2,5,6,1,4]=>[4,1,6,5,2,3]=>[1,6,4,2,5,3]=>[.,[[[.,.],.],[[.,.],.]]]
[3,2,5,6,4,1]=>[1,4,6,5,2,3]=>[4,6,5,1,2,3]=>[[.,[[.,.],.]],[.,[.,.]]]
[3,2,6,1,4,5]=>[5,4,1,6,2,3]=>[1,5,2,6,4,3]=>[.,[[.,.],[[[.,.],.],.]]]
[3,2,6,1,5,4]=>[4,5,1,6,2,3]=>[4,5,1,6,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,2,6,4,1,5]=>[5,1,4,6,2,3]=>[5,6,1,2,4,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,2,6,4,5,1]=>[1,5,4,6,2,3]=>[5,6,1,4,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,2,6,5,1,4]=>[4,1,5,6,2,3]=>[4,5,1,2,6,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,2,6,5,4,1]=>[1,4,5,6,2,3]=>[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[3,4,1,2,5,6]=>[6,5,2,1,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,1,2,6,5]=>[5,6,2,1,4,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,4,1,5,2,6]=>[6,2,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,4,1,5,6,2]=>[2,6,5,1,4,3]=>[6,2,5,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,4,1,6,2,5]=>[5,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,4,1,6,5,2]=>[2,5,6,1,4,3]=>[5,2,4,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[3,4,2,1,5,6]=>[6,5,1,2,4,3]=>[6,1,2,5,4,3]=>[[.,.],[.,[[[.,.],.],.]]]
[3,4,2,1,6,5]=>[5,6,1,2,4,3]=>[5,1,4,6,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,4,2,5,1,6]=>[6,1,5,2,4,3]=>[6,1,5,2,4,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,4,2,5,6,1]=>[1,6,5,2,4,3]=>[6,1,5,4,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[3,4,2,6,1,5]=>[5,1,6,2,4,3]=>[5,1,4,2,6,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,4,2,6,5,1]=>[1,5,6,2,4,3]=>[5,4,6,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>[6,2,1,5,4,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,5,1,6,2]=>[2,6,1,5,4,3]=>[6,5,2,4,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[3,4,5,2,1,6]=>[6,1,2,5,4,3]=>[6,5,1,2,4,3]=>[[[.,.],.],[.,[[.,.],.]]]
[3,4,5,2,6,1]=>[1,6,2,5,4,3]=>[6,5,1,4,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[3,4,5,6,1,2]=>[2,1,6,5,4,3]=>[6,5,2,1,4,3]=>[[[[.,.],.],.],[[.,.],.]]
[3,4,5,6,2,1]=>[1,2,6,5,4,3]=>[6,5,4,1,2,3]=>[[[[.,.],.],.],[.,[.,.]]]
[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>[5,2,1,6,4,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,4,6,1,5,2]=>[2,5,1,6,4,3]=>[5,2,1,4,3,6]=>[[[.,.],.],[[.,.],[.,.]]]
[3,4,6,2,1,5]=>[5,1,2,6,4,3]=>[5,4,1,2,6,3]=>[[[.,.],.],[.,[[.,.],.]]]
[3,4,6,2,5,1]=>[1,5,2,6,4,3]=>[5,4,1,6,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[3,4,6,5,1,2]=>[2,1,5,6,4,3]=>[5,2,1,4,6,3]=>[[[.,.],.],[[.,[.,.]],.]]
[3,4,6,5,2,1]=>[1,2,5,6,4,3]=>[5,4,1,2,3,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>[4,2,6,5,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[3,5,1,2,6,4]=>[4,6,2,1,5,3]=>[4,2,6,5,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,5,1,4,2,6]=>[6,2,4,1,5,3]=>[2,1,6,4,5,3]=>[[.,.],[[[.,.],[.,.]],.]]
[3,5,1,4,6,2]=>[2,6,4,1,5,3]=>[2,1,6,4,3,5]=>[[.,.],[[[.,.],.],[.,.]]]
[3,5,1,6,2,4]=>[4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,5,1,6,4,2]=>[2,4,6,1,5,3]=>[6,2,4,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[3,5,2,1,4,6]=>[6,4,1,2,5,3]=>[4,1,2,6,5,3]=>[[.,.],[.,[[[.,.],.],.]]]
[3,5,2,1,6,4]=>[4,6,1,2,5,3]=>[6,1,4,5,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,5,2,4,1,6]=>[6,1,4,2,5,3]=>[4,1,6,2,5,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,5,2,4,6,1]=>[1,6,4,2,5,3]=>[4,1,6,5,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[3,5,2,6,1,4]=>[4,1,6,2,5,3]=>[6,1,4,2,5,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,5,2,6,4,1]=>[1,4,6,2,5,3]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[3,5,4,1,2,6]=>[6,2,1,4,5,3]=>[2,1,4,6,5,3]=>[[.,.],[[.,[[.,.],.]],.]]
[3,5,4,1,6,2]=>[2,6,1,4,5,3]=>[6,2,4,5,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,5,4,2,1,6]=>[6,1,2,4,5,3]=>[6,1,2,4,5,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[3,5,4,2,6,1]=>[1,6,2,4,5,3]=>[6,1,2,4,3,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[3,5,4,6,1,2]=>[2,1,6,4,5,3]=>[6,2,4,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,5,4,6,2,1]=>[1,2,6,4,5,3]=>[6,1,4,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>[4,2,1,6,5,3]=>[[[.,.],.],[[[.,.],.],.]]
[3,5,6,1,4,2]=>[2,4,1,6,5,3]=>[6,2,1,4,3,5]=>[[[.,.],.],[[.,.],[.,.]]]
[3,5,6,2,1,4]=>[4,1,2,6,5,3]=>[6,4,1,2,5,3]=>[[[.,.],.],[.,[[.,.],.]]]
[3,5,6,2,4,1]=>[1,4,2,6,5,3]=>[6,4,1,5,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[3,5,6,4,1,2]=>[2,1,4,6,5,3]=>[6,2,1,4,5,3]=>[[[.,.],.],[[.,[.,.]],.]]
[3,5,6,4,2,1]=>[1,2,4,6,5,3]=>[6,4,1,2,3,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>[5,2,6,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[3,6,1,2,5,4]=>[4,5,2,1,6,3]=>[4,2,5,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[3,6,1,4,2,5]=>[5,2,4,1,6,3]=>[2,1,5,4,6,3]=>[[.,.],[[[.,.],[.,.]],.]]
[3,6,1,4,5,2]=>[2,5,4,1,6,3]=>[2,1,5,4,3,6]=>[[.,.],[[[.,.],.],[.,.]]]
[3,6,1,5,2,4]=>[4,2,5,1,6,3]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,6,1,5,4,2]=>[2,4,5,1,6,3]=>[2,1,4,3,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[3,6,2,1,4,5]=>[5,4,1,2,6,3]=>[5,1,2,6,4,3]=>[[.,.],[.,[[[.,.],.],.]]]
[3,6,2,1,5,4]=>[4,5,1,2,6,3]=>[4,1,5,6,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,6,2,4,1,5]=>[5,1,4,2,6,3]=>[5,1,6,2,4,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,6,2,4,5,1]=>[1,5,4,2,6,3]=>[5,1,6,4,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[3,6,2,5,1,4]=>[4,1,5,2,6,3]=>[4,1,5,2,6,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,6,2,5,4,1]=>[1,4,5,2,6,3]=>[4,1,5,2,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[3,6,4,1,2,5]=>[5,2,1,4,6,3]=>[2,1,5,6,4,3]=>[[.,.],[[[.,[.,.]],.],.]]
[3,6,4,1,5,2]=>[2,5,1,4,6,3]=>[5,2,4,6,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,6,4,2,1,5]=>[5,1,2,4,6,3]=>[5,1,2,4,6,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[3,6,4,2,5,1]=>[1,5,2,4,6,3]=>[5,1,2,4,3,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[3,6,4,5,1,2]=>[2,1,5,4,6,3]=>[5,2,4,1,6,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,6,4,5,2,1]=>[1,2,5,4,6,3]=>[5,1,4,2,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[3,6,5,1,2,4]=>[4,2,1,5,6,3]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[3,6,5,1,4,2]=>[2,4,1,5,6,3]=>[2,1,4,5,3,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,6,5,2,1,4]=>[4,1,2,5,6,3]=>[4,1,2,5,6,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[3,6,5,2,4,1]=>[1,4,2,5,6,3]=>[4,1,2,5,3,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[3,6,5,4,1,2]=>[2,1,4,5,6,3]=>[2,1,4,5,6,3]=>[[.,.],[[.,[.,[.,.]]],.]]
[3,6,5,4,2,1]=>[1,2,4,5,6,3]=>[4,1,2,3,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[4,1,2,3,5,6]=>[6,5,3,2,1,4]=>[3,6,5,4,2,1]=>[[[.,[[[.,.],.],.]],.],.]
[4,1,2,3,6,5]=>[5,6,3,2,1,4]=>[5,6,3,2,1,4]=>[[[[.,[.,.]],.],.],[.,.]]
[4,1,2,5,3,6]=>[6,3,5,2,1,4]=>[3,6,5,2,4,1]=>[[[.,[[.,.],.]],[.,.]],.]
[4,1,2,5,6,3]=>[3,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,[[.,.],.]],.],[.,.]]
[4,1,2,6,3,5]=>[5,3,6,2,1,4]=>[5,6,3,2,4,1]=>[[[[.,[.,.]],.],[.,.]],.]
[4,1,2,6,5,3]=>[3,5,6,2,1,4]=>[3,5,2,1,4,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[4,1,3,2,5,6]=>[6,5,2,3,1,4]=>[2,6,3,5,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[4,1,3,2,6,5]=>[5,6,2,3,1,4]=>[2,5,3,6,1,4]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,1,3,5,2,6]=>[6,2,5,3,1,4]=>[2,6,5,3,4,1]=>[[.,[[[.,.],.],[.,.]]],.]
[4,1,3,5,6,2]=>[2,6,5,3,1,4]=>[2,6,5,3,1,4]=>[[.,[[[.,.],.],.]],[.,.]]
[4,1,3,6,2,5]=>[5,2,6,3,1,4]=>[2,5,3,1,6,4]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,3,6,5,2]=>[2,5,6,3,1,4]=>[5,6,2,1,3,4]=>[[[.,[.,.]],.],[.,[.,.]]]
[4,1,5,2,3,6]=>[6,3,2,5,1,4]=>[3,6,2,5,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,1,5,2,6,3]=>[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,1,5,3,2,6]=>[6,2,3,5,1,4]=>[2,6,1,3,5,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,1,5,3,6,2]=>[2,6,3,5,1,4]=>[2,6,1,5,3,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,1,5,6,2,3]=>[3,2,6,5,1,4]=>[3,6,2,1,5,4]=>[[[.,[.,.]],.],[[.,.],.]]
[4,1,5,6,3,2]=>[2,3,6,5,1,4]=>[2,6,5,1,3,4]=>[[.,[[.,.],.]],[.,[.,.]]]
[4,1,6,2,3,5]=>[5,3,2,6,1,4]=>[5,6,3,4,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[4,1,6,2,5,3]=>[3,5,2,6,1,4]=>[3,5,2,4,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,1,6,3,2,5]=>[5,2,3,6,1,4]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,1,6,3,5,2]=>[2,5,3,6,1,4]=>[5,6,2,3,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,1,6,5,2,3]=>[3,2,5,6,1,4]=>[3,5,2,4,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,1,6,5,3,2]=>[2,3,5,6,1,4]=>[2,5,1,3,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[4,2,1,3,5,6]=>[6,5,3,1,2,4]=>[1,3,6,5,4,2]=>[.,[[.,[[[.,.],.],.]],.]]
[4,2,1,3,6,5]=>[5,6,3,1,2,4]=>[1,5,6,3,2,4]=>[.,[[[.,[.,.]],.],[.,.]]]
[4,2,1,5,3,6]=>[6,3,5,1,2,4]=>[1,3,6,2,5,4]=>[.,[[.,[.,.]],[[.,.],.]]]
[4,2,1,5,6,3]=>[3,6,5,1,2,4]=>[1,3,6,5,2,4]=>[.,[[.,[[.,.],.]],[.,.]]]
[4,2,1,6,3,5]=>[5,3,6,1,2,4]=>[1,5,6,3,4,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[4,2,1,6,5,3]=>[3,5,6,1,2,4]=>[3,5,6,1,2,4]=>[[.,[.,[.,.]]],[.,[.,.]]]
[4,2,3,1,5,6]=>[6,5,1,3,2,4]=>[1,6,3,5,4,2]=>[.,[[[.,.],[[.,.],.]],.]]
[4,2,3,1,6,5]=>[5,6,1,3,2,4]=>[1,5,3,6,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,2,3,5,1,6]=>[6,1,5,3,2,4]=>[1,6,5,3,4,2]=>[.,[[[[.,.],.],[.,.]],.]]
[4,2,3,5,6,1]=>[1,6,5,3,2,4]=>[1,6,5,3,2,4]=>[.,[[[[.,.],.],.],[.,.]]]
[4,2,3,6,1,5]=>[5,1,6,3,2,4]=>[1,5,3,2,6,4]=>[.,[[[.,.],.],[[.,.],.]]]
[4,2,3,6,5,1]=>[1,5,6,3,2,4]=>[5,6,3,1,2,4]=>[[[.,[.,.]],.],[.,[.,.]]]
[4,2,5,1,3,6]=>[6,3,1,5,2,4]=>[1,3,2,6,5,4]=>[.,[[.,.],[[[.,.],.],.]]]
[4,2,5,1,6,3]=>[3,6,1,5,2,4]=>[1,6,3,5,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,2,5,3,1,6]=>[6,1,3,5,2,4]=>[3,6,1,2,5,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,2,5,3,6,1]=>[1,6,3,5,2,4]=>[3,6,1,5,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,5,6,1,3]=>[3,1,6,5,2,4]=>[1,6,3,2,5,4]=>[.,[[[.,.],.],[[.,.],.]]]
[4,2,5,6,3,1]=>[1,3,6,5,2,4]=>[3,6,5,1,2,4]=>[[.,[[.,.],.]],[.,[.,.]]]
[4,2,6,1,3,5]=>[5,3,1,6,2,4]=>[1,5,3,6,4,2]=>[.,[[[.,.],[[.,.],.]],.]]
[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,6,3,1,5]=>[5,1,3,6,2,4]=>[5,6,1,3,4,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[4,2,6,3,5,1]=>[1,5,3,6,2,4]=>[5,6,1,3,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,6,5,1,3]=>[3,1,5,6,2,4]=>[3,5,1,2,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,2,6,5,3,1]=>[1,3,5,6,2,4]=>[3,5,1,2,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[4,3,1,2,5,6]=>[6,5,2,1,3,4]=>[2,3,6,5,4,1]=>[[.,[.,[[[.,.],.],.]]],.]
[4,3,1,2,6,5]=>[5,6,2,1,3,4]=>[2,5,6,3,1,4]=>[[.,[[.,[.,.]],.]],[.,.]]
[4,3,1,5,2,6]=>[6,2,5,1,3,4]=>[2,3,6,1,5,4]=>[[.,[.,[.,.]]],[[.,.],.]]
[4,3,1,5,6,2]=>[2,6,5,1,3,4]=>[2,3,6,5,1,4]=>[[.,[.,[[.,.],.]]],[.,.]]
[4,3,1,6,2,5]=>[5,2,6,1,3,4]=>[2,5,6,3,4,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[4,3,1,6,5,2]=>[2,5,6,1,3,4]=>[2,5,6,1,3,4]=>[[.,[.,[.,.]]],[.,[.,.]]]
[4,3,2,1,5,6]=>[6,5,1,2,3,4]=>[1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]]
[4,3,2,1,6,5]=>[5,6,1,2,3,4]=>[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]
[4,3,2,5,1,6]=>[6,1,5,2,3,4]=>[1,2,6,3,5,4]=>[.,[.,[[.,.],[[.,.],.]]]]
[4,3,2,5,6,1]=>[1,6,5,2,3,4]=>[1,2,6,5,3,4]=>[.,[.,[[[.,.],.],[.,.]]]]
[4,3,2,6,1,5]=>[5,1,6,2,3,4]=>[1,2,5,3,6,4]=>[.,[.,[[.,.],[[.,.],.]]]]
[4,3,2,6,5,1]=>[1,5,6,2,3,4]=>[1,5,6,2,3,4]=>[.,[[.,[.,.]],[.,[.,.]]]]
[4,3,5,1,2,6]=>[6,2,1,5,3,4]=>[2,3,1,6,5,4]=>[[.,[.,.]],[[[.,.],.],.]]
[4,3,5,1,6,2]=>[2,6,1,5,3,4]=>[2,6,3,5,1,4]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,3,5,2,1,6]=>[6,1,2,5,3,4]=>[1,6,2,3,5,4]=>[.,[[.,.],[.,[[.,.],.]]]]
[4,3,5,2,6,1]=>[1,6,2,5,3,4]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]
[4,3,5,6,1,2]=>[2,1,6,5,3,4]=>[2,6,3,1,5,4]=>[[.,[[.,.],.]],[[.,.],.]]
[4,3,5,6,2,1]=>[1,2,6,5,3,4]=>[1,6,5,2,3,4]=>[.,[[[.,.],.],[.,[.,.]]]]
[4,3,6,1,2,5]=>[5,2,1,6,3,4]=>[2,5,3,6,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[4,3,6,1,5,2]=>[2,5,1,6,3,4]=>[2,5,1,6,3,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,3,6,2,1,5]=>[5,1,2,6,3,4]=>[1,5,2,3,6,4]=>[.,[[.,.],[.,[[.,.],.]]]]
[4,3,6,2,5,1]=>[1,5,2,6,3,4]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]
[4,3,6,5,1,2]=>[2,1,5,6,3,4]=>[2,5,1,3,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,3,6,5,2,1]=>[1,2,5,6,3,4]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>[3,2,6,5,4,1]=>[[[.,.],[[[.,.],.],.]],.]
[4,5,1,2,6,3]=>[3,6,2,1,5,4]=>[3,2,6,5,1,4]=>[[[.,.],[[.,.],.]],[.,.]]
[4,5,1,3,2,6]=>[6,2,3,1,5,4]=>[2,1,6,3,5,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,5,1,3,6,2]=>[2,6,3,1,5,4]=>[2,1,6,5,3,4]=>[[.,.],[[[.,.],.],[.,.]]]
[4,5,1,6,2,3]=>[3,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,1,6,3,2]=>[2,3,6,1,5,4]=>[6,2,5,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,5,2,1,3,6]=>[6,3,1,2,5,4]=>[3,1,2,6,5,4]=>[[.,.],[.,[[[.,.],.],.]]]
[4,5,2,1,6,3]=>[3,6,1,2,5,4]=>[6,1,3,5,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,5,2,3,1,6]=>[6,1,3,2,5,4]=>[3,1,6,2,5,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,5,2,3,6,1]=>[1,6,3,2,5,4]=>[3,1,6,5,2,4]=>[[.,.],[[[.,.],.],[.,.]]]
[4,5,2,6,1,3]=>[3,1,6,2,5,4]=>[6,1,3,2,5,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,5,2,6,3,1]=>[1,3,6,2,5,4]=>[6,3,5,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,5,3,1,2,6]=>[6,2,1,3,5,4]=>[2,1,3,6,5,4]=>[[.,.],[.,[[[.,.],.],.]]]
[4,5,3,1,6,2]=>[2,6,1,3,5,4]=>[6,2,3,5,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,5,3,2,1,6]=>[6,1,2,3,5,4]=>[6,1,2,3,5,4]=>[[.,.],[.,[.,[[.,.],.]]]]
[4,5,3,2,6,1]=>[1,6,2,3,5,4]=>[6,1,2,5,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[4,5,3,6,1,2]=>[2,1,6,3,5,4]=>[6,2,3,1,5,4]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,3,6,2,1]=>[1,2,6,3,5,4]=>[6,1,5,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]
[4,5,6,1,2,3]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,5,6,1,3,2]=>[2,3,1,6,5,4]=>[6,2,1,5,3,4]=>[[[.,.],.],[[.,.],[.,.]]]
[4,5,6,2,1,3]=>[3,1,2,6,5,4]=>[6,3,1,2,5,4]=>[[[.,.],.],[.,[[.,.],.]]]
[4,5,6,2,3,1]=>[1,3,2,6,5,4]=>[6,3,1,5,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[4,5,6,3,1,2]=>[2,1,3,6,5,4]=>[6,2,1,3,5,4]=>[[[.,.],.],[.,[[.,.],.]]]
[4,5,6,3,2,1]=>[1,2,3,6,5,4]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>[5,3,6,4,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[4,6,1,2,5,3]=>[3,5,2,1,6,4]=>[3,2,5,4,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[4,6,1,3,2,5]=>[5,2,3,1,6,4]=>[5,2,6,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,6,1,3,5,2]=>[2,5,3,1,6,4]=>[5,2,6,3,1,4]=>[[[.,.],[[.,.],.]],[.,.]]
[4,6,1,5,2,3]=>[3,2,5,1,6,4]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,6,1,5,3,2]=>[2,3,5,1,6,4]=>[2,1,5,3,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[4,6,2,1,3,5]=>[5,3,1,2,6,4]=>[5,1,3,6,4,2]=>[[.,.],[[.,[[.,.],.]],.]]
[4,6,2,1,5,3]=>[3,5,1,2,6,4]=>[3,1,5,6,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,6,2,3,1,5]=>[5,1,3,2,6,4]=>[5,1,6,3,4,2]=>[[.,.],[[[.,.],[.,.]],.]]
[4,6,2,3,5,1]=>[1,5,3,2,6,4]=>[5,1,6,3,2,4]=>[[.,.],[[[.,.],.],[.,.]]]
[4,6,2,5,1,3]=>[3,1,5,2,6,4]=>[3,1,5,2,6,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,6,2,5,3,1]=>[1,3,5,2,6,4]=>[3,1,5,2,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[4,6,3,1,2,5]=>[5,2,1,3,6,4]=>[5,2,3,6,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[4,6,3,1,5,2]=>[2,5,1,3,6,4]=>[2,1,5,6,3,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,6,3,2,1,5]=>[5,1,2,3,6,4]=>[5,1,2,3,6,4]=>[[.,.],[.,[.,[[.,.],.]]]]
[4,6,3,2,5,1]=>[1,5,2,3,6,4]=>[5,1,2,6,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[4,6,3,5,1,2]=>[2,1,5,3,6,4]=>[2,1,5,3,6,4]=>[[.,.],[[.,.],[[.,.],.]]]
[4,6,3,5,2,1]=>[1,2,5,3,6,4]=>[5,1,6,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]
[4,6,5,1,2,3]=>[3,2,1,5,6,4]=>[3,2,5,6,4,1]=>[[[.,.],[[.,[.,.]],.]],.]
[4,6,5,1,3,2]=>[2,3,1,5,6,4]=>[2,1,3,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[4,6,5,2,1,3]=>[3,1,2,5,6,4]=>[3,1,2,5,6,4]=>[[.,.],[.,[[.,[.,.]],.]]]
[4,6,5,2,3,1]=>[1,3,2,5,6,4]=>[3,1,2,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[4,6,5,3,1,2]=>[2,1,3,5,6,4]=>[2,1,3,5,6,4]=>[[.,.],[.,[[.,[.,.]],.]]]
[4,6,5,3,2,1]=>[1,2,3,5,6,4]=>[5,1,2,3,4,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[5,1,2,3,4,6]=>[6,4,3,2,1,5]=>[4,6,5,3,2,1]=>[[[[.,[[.,.],.]],.],.],.]
[5,1,2,3,6,4]=>[4,6,3,2,1,5]=>[4,6,3,2,1,5]=>[[[[.,[.,.]],.],.],[.,.]]
[5,1,2,4,3,6]=>[6,3,4,2,1,5]=>[3,6,4,2,5,1]=>[[[.,[[.,.],.]],[.,.]],.]
[5,1,2,4,6,3]=>[3,6,4,2,1,5]=>[3,6,4,2,1,5]=>[[[.,[[.,.],.]],.],[.,.]]
[5,1,2,6,3,4]=>[4,3,6,2,1,5]=>[4,6,3,2,5,1]=>[[[[.,[.,.]],.],[.,.]],.]
[5,1,2,6,4,3]=>[3,4,6,2,1,5]=>[3,6,2,1,4,5]=>[[[.,[.,.]],.],[.,[.,.]]]
[5,1,3,2,4,6]=>[6,4,2,3,1,5]=>[2,6,4,5,3,1]=>[[.,[[[.,.],[.,.]],.]],.]
[5,1,3,2,6,4]=>[4,6,2,3,1,5]=>[2,4,3,6,1,5]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,1,3,4,2,6]=>[6,2,4,3,1,5]=>[2,6,4,3,5,1]=>[[.,[[[.,.],.],[.,.]]],.]
[5,1,3,4,6,2]=>[2,6,4,3,1,5]=>[2,6,4,3,1,5]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,3,6,2,4]=>[4,2,6,3,1,5]=>[2,4,3,1,6,5]=>[[.,[[.,.],.]],[[.,.],.]]
[5,1,3,6,4,2]=>[2,4,6,3,1,5]=>[4,6,2,1,3,5]=>[[[.,[.,.]],.],[.,[.,.]]]
[5,1,4,2,3,6]=>[6,3,2,4,1,5]=>[3,6,4,5,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[5,1,4,2,6,3]=>[3,6,2,4,1,5]=>[3,4,2,6,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,1,4,3,2,6]=>[6,2,3,4,1,5]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,1,4,3,6,2]=>[2,6,3,4,1,5]=>[2,6,3,4,1,5]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,1,4,6,2,3]=>[3,2,6,4,1,5]=>[3,4,2,1,6,5]=>[[[.,[.,.]],.],[[.,.],.]]
[5,1,4,6,3,2]=>[2,3,6,4,1,5]=>[2,6,3,1,4,5]=>[[.,[[.,.],.]],[.,[.,.]]]
[5,1,6,2,3,4]=>[4,3,2,6,1,5]=>[4,6,3,5,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[5,1,6,2,4,3]=>[3,4,2,6,1,5]=>[3,6,2,4,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,1,6,3,2,4]=>[4,2,3,6,1,5]=>[4,6,2,3,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[5,1,6,3,4,2]=>[2,4,3,6,1,5]=>[4,6,2,3,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,1,6,4,2,3]=>[3,2,4,6,1,5]=>[3,6,2,4,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[5,1,6,4,3,2]=>[2,3,4,6,1,5]=>[2,6,1,3,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[5,2,1,3,4,6]=>[6,4,3,1,2,5]=>[1,4,6,5,3,2]=>[.,[[[.,[[.,.],.]],.],.]]
[5,2,1,3,6,4]=>[4,6,3,1,2,5]=>[1,4,6,3,2,5]=>[.,[[[.,[.,.]],.],[.,.]]]
[5,2,1,4,3,6]=>[6,3,4,1,2,5]=>[3,4,6,1,5,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[5,2,1,4,6,3]=>[3,6,4,1,2,5]=>[3,4,6,5,1,2]=>[[.,[.,[[.,.],.]]],[.,.]]
[5,2,1,6,3,4]=>[4,3,6,1,2,5]=>[1,4,6,3,5,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[5,2,1,6,4,3]=>[3,4,6,1,2,5]=>[3,4,6,1,2,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,2,3,1,4,6]=>[6,4,1,3,2,5]=>[1,6,4,5,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[5,2,3,1,6,4]=>[4,6,1,3,2,5]=>[1,4,3,6,2,5]=>[.,[[[.,.],[.,.]],[.,.]]]
[5,2,3,4,1,6]=>[6,1,4,3,2,5]=>[1,6,4,3,5,2]=>[.,[[[[.,.],.],[.,.]],.]]
[5,2,3,4,6,1]=>[1,6,4,3,2,5]=>[1,6,4,3,2,5]=>[.,[[[[.,.],.],.],[.,.]]]
[5,2,3,6,1,4]=>[4,1,6,3,2,5]=>[1,4,3,2,6,5]=>[.,[[[.,.],.],[[.,.],.]]]
[5,2,3,6,4,1]=>[1,4,6,3,2,5]=>[4,6,3,1,2,5]=>[[[.,[.,.]],.],[.,[.,.]]]
[5,2,4,1,3,6]=>[6,3,1,4,2,5]=>[3,4,1,6,5,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,2,4,1,6,3]=>[3,6,1,4,2,5]=>[3,6,4,5,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,2,4,3,1,6]=>[6,1,3,4,2,5]=>[1,6,3,4,5,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[5,2,4,3,6,1]=>[1,6,3,4,2,5]=>[1,6,3,4,2,5]=>[.,[[[.,.],[.,.]],[.,.]]]
[5,2,4,6,1,3]=>[3,1,6,4,2,5]=>[3,6,4,1,5,2]=>[[.,[[.,.],.]],[[.,.],.]]
[5,2,4,6,3,1]=>[1,3,6,4,2,5]=>[1,6,3,2,4,5]=>[.,[[[.,.],.],[.,[.,.]]]]
[5,2,6,1,3,4]=>[4,3,1,6,2,5]=>[1,4,3,6,5,2]=>[.,[[[.,.],[[.,.],.]],.]]
[5,2,6,1,4,3]=>[3,4,1,6,2,5]=>[3,4,1,6,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,2,6,3,1,4]=>[4,1,3,6,2,5]=>[4,6,1,3,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[5,2,6,3,4,1]=>[1,4,3,6,2,5]=>[4,6,1,3,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,2,6,4,1,3]=>[3,1,4,6,2,5]=>[3,4,1,2,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,2,6,4,3,1]=>[1,3,4,6,2,5]=>[3,6,1,2,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[5,3,1,2,4,6]=>[6,4,2,1,3,5]=>[2,4,6,5,3,1]=>[[.,[[.,[[.,.],.]],.]],.]
[5,3,1,2,6,4]=>[4,6,2,1,3,5]=>[2,4,6,3,1,5]=>[[.,[[.,[.,.]],.]],[.,.]]
[5,3,1,4,2,6]=>[6,2,4,1,3,5]=>[2,4,6,1,5,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[5,3,1,4,6,2]=>[2,6,4,1,3,5]=>[2,4,6,5,1,3]=>[[.,[.,[[.,.],.]]],[.,.]]
[5,3,1,6,2,4]=>[4,2,6,1,3,5]=>[2,4,6,3,5,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[5,3,1,6,4,2]=>[2,4,6,1,3,5]=>[2,4,6,1,3,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,3,2,1,4,6]=>[6,4,1,2,3,5]=>[1,2,4,6,5,3]=>[.,[.,[[.,[[.,.],.]],.]]]
[5,3,2,1,6,4]=>[4,6,1,2,3,5]=>[1,2,4,6,3,5]=>[.,[.,[[.,[.,.]],[.,.]]]]
[5,3,2,4,1,6]=>[6,1,4,2,3,5]=>[1,2,6,4,5,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[5,3,2,4,6,1]=>[1,6,4,2,3,5]=>[1,2,6,4,3,5]=>[.,[.,[[[.,.],.],[.,.]]]]
[5,3,2,6,1,4]=>[4,1,6,2,3,5]=>[1,2,4,3,6,5]=>[.,[.,[[.,.],[[.,.],.]]]]
[5,3,2,6,4,1]=>[1,4,6,2,3,5]=>[1,4,6,2,3,5]=>[.,[[.,[.,.]],[.,[.,.]]]]
[5,3,4,1,2,6]=>[6,2,1,4,3,5]=>[2,4,1,6,5,3]=>[[.,[.,.]],[[[.,.],.],.]]
[5,3,4,1,6,2]=>[2,6,1,4,3,5]=>[2,6,4,5,1,3]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,3,4,2,1,6]=>[6,1,2,4,3,5]=>[1,6,2,4,5,3]=>[.,[[.,.],[[.,[.,.]],.]]]
[5,3,4,2,6,1]=>[1,6,2,4,3,5]=>[1,6,2,4,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]
[5,3,4,6,1,2]=>[2,1,6,4,3,5]=>[2,6,4,1,5,3]=>[[.,[[.,.],.]],[[.,.],.]]
[5,3,4,6,2,1]=>[1,2,6,4,3,5]=>[1,6,4,2,3,5]=>[.,[[[.,.],.],[.,[.,.]]]]
[5,3,6,1,2,4]=>[4,2,1,6,3,5]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[5,3,6,1,4,2]=>[2,4,1,6,3,5]=>[2,4,1,6,3,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,3,6,2,1,4]=>[4,1,2,6,3,5]=>[1,4,2,3,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]
[5,3,6,2,4,1]=>[1,4,2,6,3,5]=>[1,4,2,6,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]
[5,3,6,4,1,2]=>[2,1,4,6,3,5]=>[2,4,1,3,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,3,6,4,2,1]=>[1,2,4,6,3,5]=>[4,6,1,2,3,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[5,4,1,2,3,6]=>[6,3,2,1,4,5]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[5,4,1,2,6,3]=>[3,6,2,1,4,5]=>[3,4,6,2,1,5]=>[[[.,[.,[.,.]]],.],[.,.]]
[5,4,1,3,2,6]=>[6,2,3,1,4,5]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,4,1,3,6,2]=>[2,6,3,1,4,5]=>[2,3,6,4,1,5]=>[[.,[.,[[.,.],.]]],[.,.]]
[5,4,1,6,2,3]=>[3,2,6,1,4,5]=>[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,4,1,6,3,2]=>[2,3,6,1,4,5]=>[2,3,6,1,4,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[5,4,2,1,3,6]=>[6,3,1,2,4,5]=>[1,3,4,6,5,2]=>[.,[[.,[.,[[.,.],.]]],.]]
[5,4,2,1,6,3]=>[3,6,1,2,4,5]=>[1,3,4,6,2,5]=>[.,[[.,[.,[.,.]]],[.,.]]]
[5,4,2,3,1,6]=>[6,1,3,2,4,5]=>[1,3,6,4,5,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[5,4,2,3,6,1]=>[1,6,3,2,4,5]=>[1,3,6,4,2,5]=>[.,[[.,[[.,.],.]],[.,.]]]
[5,4,2,6,1,3]=>[3,1,6,2,4,5]=>[1,3,4,2,6,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[5,4,2,6,3,1]=>[1,3,6,2,4,5]=>[1,3,6,2,4,5]=>[.,[[.,[.,.]],[.,[.,.]]]]
[5,4,3,1,2,6]=>[6,2,1,3,4,5]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[5,4,3,1,6,2]=>[2,6,1,3,4,5]=>[2,3,4,6,1,5]=>[[.,[.,[.,[.,.]]]],[.,.]]
[5,4,3,2,1,6]=>[6,1,2,3,4,5]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]
[5,4,3,2,6,1]=>[1,6,2,3,4,5]=>[1,2,3,6,4,5]=>[.,[.,[.,[[.,.],[.,.]]]]]
[5,4,3,6,1,2]=>[2,1,6,3,4,5]=>[2,3,4,1,6,5]=>[[.,[.,[.,.]]],[[.,.],.]]
[5,4,3,6,2,1]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[.,[.,[[.,.],[.,[.,.]]]]]
[5,4,6,1,2,3]=>[3,2,1,6,4,5]=>[3,4,2,6,5,1]=>[[[.,[.,.]],[[.,.],.]],.]
[5,4,6,1,3,2]=>[2,3,1,6,4,5]=>[2,3,1,6,4,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[5,4,6,2,1,3]=>[3,1,2,6,4,5]=>[1,3,2,4,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]
[5,4,6,2,3,1]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[.,[[.,.],[[.,.],[.,.]]]]
[5,4,6,3,1,2]=>[2,1,3,6,4,5]=>[2,3,1,4,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,4,6,3,2,1]=>[1,2,3,6,4,5]=>[1,6,2,3,4,5]=>[.,[[.,.],[.,[.,[.,.]]]]]
[5,6,1,2,3,4]=>[4,3,2,1,6,5]=>[4,3,6,5,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[5,6,1,2,4,3]=>[3,4,2,1,6,5]=>[3,2,6,4,1,5]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,1,3,2,4]=>[4,2,3,1,6,5]=>[4,2,6,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,6,1,3,4,2]=>[2,4,3,1,6,5]=>[4,2,6,3,1,5]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,1,4,2,3]=>[3,2,4,1,6,5]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,6,1,4,3,2]=>[2,3,4,1,6,5]=>[2,1,6,3,4,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,6,2,1,3,4]=>[4,3,1,2,6,5]=>[4,1,3,6,5,2]=>[[.,.],[[.,[[.,.],.]],.]]
[5,6,2,1,4,3]=>[3,4,1,2,6,5]=>[3,1,4,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,6,2,3,1,4]=>[4,1,3,2,6,5]=>[4,1,6,3,5,2]=>[[.,.],[[[.,.],[.,.]],.]]
[5,6,2,3,4,1]=>[1,4,3,2,6,5]=>[4,1,6,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[5,6,2,4,1,3]=>[3,1,4,2,6,5]=>[3,1,4,2,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,2,4,3,1]=>[1,3,4,2,6,5]=>[3,1,6,2,4,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,6,3,1,2,4]=>[4,2,1,3,6,5]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,6,3,1,4,2]=>[2,4,1,3,6,5]=>[2,1,4,6,3,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[5,6,3,2,1,4]=>[4,1,2,3,6,5]=>[4,1,2,3,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,3,2,4,1]=>[1,4,2,3,6,5]=>[4,1,2,6,3,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,3,4,2,1]=>[1,2,4,3,6,5]=>[4,1,6,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[5,6,4,1,2,3]=>[3,2,1,4,6,5]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,6,4,1,3,2]=>[2,3,1,4,6,5]=>[2,1,3,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,6,4,2,1,3]=>[3,1,2,4,6,5]=>[3,1,2,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,4,2,3,1]=>[1,3,2,4,6,5]=>[3,1,2,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,4,3,2,1]=>[1,2,3,4,6,5]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[6,1,2,3,4,5]=>[5,4,3,2,1,6]=>[5,6,4,3,2,1]=>[[[[[.,[.,.]],.],.],.],.]
[6,1,2,3,5,4]=>[4,5,3,2,1,6]=>[4,5,3,2,1,6]=>[[[[.,[.,.]],.],.],[.,.]]
[6,1,2,4,3,5]=>[5,3,4,2,1,6]=>[3,5,4,2,6,1]=>[[[.,[[.,.],.]],[.,.]],.]
[6,1,2,4,5,3]=>[3,5,4,2,1,6]=>[3,5,4,2,1,6]=>[[[.,[[.,.],.]],.],[.,.]]
[6,1,2,5,3,4]=>[4,3,5,2,1,6]=>[4,5,3,2,6,1]=>[[[[.,[.,.]],.],[.,.]],.]
[6,1,2,5,4,3]=>[3,4,5,2,1,6]=>[3,4,2,1,5,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,1,3,2,4,5]=>[5,4,2,3,1,6]=>[2,5,4,6,3,1]=>[[.,[[[.,.],[.,.]],.]],.]
[6,1,3,2,5,4]=>[4,5,2,3,1,6]=>[4,5,2,6,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[6,1,3,4,2,5]=>[5,2,4,3,1,6]=>[2,5,4,3,6,1]=>[[.,[[[.,.],.],[.,.]]],.]
[6,1,3,4,5,2]=>[2,5,4,3,1,6]=>[2,5,4,3,1,6]=>[[.,[[[.,.],.],.]],[.,.]]
[6,1,3,5,2,4]=>[4,2,5,3,1,6]=>[4,5,2,1,6,3]=>[[[.,[.,.]],.],[[.,.],.]]
[6,1,3,5,4,2]=>[2,4,5,3,1,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,1,4,2,3,5]=>[5,3,2,4,1,6]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[6,1,4,2,5,3]=>[3,5,2,4,1,6]=>[3,5,2,6,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[6,1,4,3,2,5]=>[5,2,3,4,1,6]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,1,4,3,5,2]=>[2,5,3,4,1,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[6,1,4,5,2,3]=>[3,2,5,4,1,6]=>[3,5,2,1,6,4]=>[[[.,[.,.]],.],[[.,.],.]]
[6,1,4,5,3,2]=>[2,3,5,4,1,6]=>[2,5,3,1,4,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,1,5,2,3,4]=>[4,3,2,5,1,6]=>[4,5,3,6,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[6,1,5,2,4,3]=>[3,4,2,5,1,6]=>[3,4,2,5,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[6,1,5,3,2,4]=>[4,2,3,5,1,6]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,1,5,3,4,2]=>[2,4,3,5,1,6]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[6,1,5,4,2,3]=>[3,2,4,5,1,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[6,1,5,4,3,2]=>[2,3,4,5,1,6]=>[2,3,1,4,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,2,1,3,4,5]=>[5,4,3,1,2,6]=>[1,5,6,4,3,2]=>[.,[[[[.,[.,.]],.],.],.]]
[6,2,1,3,5,4]=>[4,5,3,1,2,6]=>[4,5,6,3,1,2]=>[[[.,[.,[.,.]]],.],[.,.]]
[6,2,1,4,3,5]=>[5,3,4,1,2,6]=>[3,5,6,1,4,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[6,2,1,4,5,3]=>[3,5,4,1,2,6]=>[3,5,6,4,1,2]=>[[.,[[.,[.,.]],.]],[.,.]]
[6,2,1,5,3,4]=>[4,3,5,1,2,6]=>[4,5,6,1,3,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[6,2,1,5,4,3]=>[3,4,5,1,2,6]=>[3,4,5,1,2,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,2,3,1,4,5]=>[5,4,1,3,2,6]=>[1,5,4,6,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[6,2,3,1,5,4]=>[4,5,1,3,2,6]=>[4,5,3,6,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[6,2,3,4,1,5]=>[5,1,4,3,2,6]=>[1,5,4,3,6,2]=>[.,[[[[.,.],.],[.,.]],.]]
[6,2,3,4,5,1]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>[.,[[[[.,.],.],.],[.,.]]]
[6,2,3,5,1,4]=>[4,1,5,3,2,6]=>[4,5,3,1,6,2]=>[[[.,[.,.]],.],[[.,.],.]]
[6,2,3,5,4,1]=>[1,4,5,3,2,6]=>[1,4,3,2,5,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[6,2,4,1,3,5]=>[5,3,1,4,2,6]=>[3,5,1,6,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[6,2,4,1,5,3]=>[3,5,1,4,2,6]=>[3,5,4,6,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[6,2,4,3,1,5]=>[5,1,3,4,2,6]=>[1,5,3,4,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[6,2,4,3,5,1]=>[1,5,3,4,2,6]=>[1,5,3,4,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,2,4,5,1,3]=>[3,1,5,4,2,6]=>[3,5,4,1,6,2]=>[[.,[[.,.],.]],[[.,.],.]]
[6,2,4,5,3,1]=>[1,3,5,4,2,6]=>[1,5,3,2,4,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[6,2,5,1,3,4]=>[4,3,1,5,2,6]=>[4,5,1,6,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[6,2,5,1,4,3]=>[3,4,1,5,2,6]=>[3,4,1,5,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,5,3,1,4]=>[4,1,3,5,2,6]=>[1,4,3,5,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[6,2,5,3,4,1]=>[1,4,3,5,2,6]=>[1,4,3,5,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,2,5,4,1,3]=>[3,1,4,5,2,6]=>[3,4,1,5,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[6,2,5,4,3,1]=>[1,3,4,5,2,6]=>[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[6,3,1,2,4,5]=>[5,4,2,1,3,6]=>[2,5,6,4,3,1]=>[[.,[[[.,[.,.]],.],.]],.]
[6,3,1,2,5,4]=>[4,5,2,1,3,6]=>[4,5,6,2,1,3]=>[[[.,[.,[.,.]]],.],[.,.]]
[6,3,1,4,2,5]=>[5,2,4,1,3,6]=>[2,5,6,1,4,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[6,3,1,4,5,2]=>[2,5,4,1,3,6]=>[2,5,6,4,1,3]=>[[.,[[.,[.,.]],.]],[.,.]]
[6,3,1,5,2,4]=>[4,2,5,1,3,6]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[6,3,1,5,4,2]=>[2,4,5,1,3,6]=>[2,4,5,1,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,3,2,1,4,5]=>[5,4,1,2,3,6]=>[1,2,5,6,4,3]=>[.,[.,[[[.,[.,.]],.],.]]]
[6,3,2,1,5,4]=>[4,5,1,2,3,6]=>[1,4,5,6,2,3]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,3,2,4,1,5]=>[5,1,4,2,3,6]=>[1,2,5,4,6,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[6,3,2,4,5,1]=>[1,5,4,2,3,6]=>[1,2,5,4,3,6]=>[.,[.,[[[.,.],.],[.,.]]]]
[6,3,2,5,1,4]=>[4,1,5,2,3,6]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[6,3,2,5,4,1]=>[1,4,5,2,3,6]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,3,4,1,2,5]=>[5,2,1,4,3,6]=>[2,5,1,6,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[6,3,4,1,5,2]=>[2,5,1,4,3,6]=>[2,5,4,6,1,3]=>[[.,[[.,.],[.,.]]],[.,.]]
[6,3,4,2,1,5]=>[5,1,2,4,3,6]=>[1,5,2,4,6,3]=>[.,[[.,.],[[.,[.,.]],.]]]
[6,3,4,2,5,1]=>[1,5,2,4,3,6]=>[1,5,2,4,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[6,3,4,5,1,2]=>[2,1,5,4,3,6]=>[2,5,4,1,6,3]=>[[.,[[.,.],.]],[[.,.],.]]
[6,3,4,5,2,1]=>[1,2,5,4,3,6]=>[1,5,4,2,3,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[6,3,5,1,2,4]=>[4,2,1,5,3,6]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,5,1,4,2]=>[2,4,1,5,3,6]=>[2,4,1,5,3,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,3,5,2,1,4]=>[4,1,2,5,3,6]=>[1,4,2,5,6,3]=>[.,[[.,.],[[.,[.,.]],.]]]
[6,3,5,2,4,1]=>[1,4,2,5,3,6]=>[1,4,2,5,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[6,3,5,4,1,2]=>[2,1,4,5,3,6]=>[2,4,1,5,6,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[6,3,5,4,2,1]=>[1,2,4,5,3,6]=>[1,4,2,3,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[6,4,1,2,3,5]=>[5,3,2,1,4,6]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[6,4,1,2,5,3]=>[3,5,2,1,4,6]=>[3,5,6,2,1,4]=>[[[.,[.,[.,.]]],.],[.,.]]
[6,4,1,3,2,5]=>[5,2,3,1,4,6]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,4,1,3,5,2]=>[2,5,3,1,4,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[6,4,1,5,2,3]=>[3,2,5,1,4,6]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[6,4,1,5,3,2]=>[2,3,5,1,4,6]=>[2,3,5,1,4,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,4,2,1,3,5]=>[5,3,1,2,4,6]=>[1,3,5,6,4,2]=>[.,[[.,[[.,[.,.]],.]],.]]
[6,4,2,1,5,3]=>[3,5,1,2,4,6]=>[1,3,5,6,2,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,4,2,3,1,5]=>[5,1,3,2,4,6]=>[1,3,5,4,6,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[6,4,2,3,5,1]=>[1,5,3,2,4,6]=>[1,3,5,4,2,6]=>[.,[[.,[[.,.],.]],[.,.]]]
[6,4,2,5,1,3]=>[3,1,5,2,4,6]=>[1,3,5,2,6,4]=>[.,[[.,[.,.]],[[.,.],.]]]
[6,4,2,5,3,1]=>[1,3,5,2,4,6]=>[1,3,5,2,4,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,4,3,1,2,5]=>[5,2,1,3,4,6]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[6,4,3,1,5,2]=>[2,5,1,3,4,6]=>[2,3,5,6,1,4]=>[[.,[.,[.,[.,.]]]],[.,.]]
[6,4,3,2,1,5]=>[5,1,2,3,4,6]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]
[6,4,3,2,5,1]=>[1,5,2,3,4,6]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[6,4,3,5,1,2]=>[2,1,5,3,4,6]=>[2,3,5,1,6,4]=>[[.,[.,[.,.]]],[[.,.],.]]
[6,4,3,5,2,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,4,5,1,2,3]=>[3,2,1,5,4,6]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[6,4,5,1,3,2]=>[2,3,1,5,4,6]=>[2,3,1,5,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,4,5,2,1,3]=>[3,1,2,5,4,6]=>[1,3,2,5,6,4]=>[.,[[.,.],[[.,[.,.]],.]]]
[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[6,4,5,3,1,2]=>[2,1,3,5,4,6]=>[2,3,1,5,6,4]=>[[.,[.,.]],[[.,[.,.]],.]]
[6,4,5,3,2,1]=>[1,2,3,5,4,6]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[6,5,1,2,3,4]=>[4,3,2,1,5,6]=>[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.]
[6,5,1,2,4,3]=>[3,4,2,1,5,6]=>[3,4,5,2,1,6]=>[[[.,[.,[.,.]]],.],[.,.]]
[6,5,1,3,2,4]=>[4,2,3,1,5,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[6,5,1,3,4,2]=>[2,4,3,1,5,6]=>[2,4,5,3,1,6]=>[[.,[[.,[.,.]],.]],[.,.]]
[6,5,1,4,2,3]=>[3,2,4,1,5,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[6,5,1,4,3,2]=>[2,3,4,1,5,6]=>[2,3,4,1,5,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,5,2,1,3,4]=>[4,3,1,2,5,6]=>[1,4,5,6,3,2]=>[.,[[[.,[.,[.,.]]],.],.]]
[6,5,2,1,4,3]=>[3,4,1,2,5,6]=>[3,4,5,6,1,2]=>[[.,[.,[.,[.,.]]]],[.,.]]
[6,5,2,3,1,4]=>[4,1,3,2,5,6]=>[1,4,5,3,6,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[6,5,2,3,4,1]=>[1,4,3,2,5,6]=>[1,4,5,3,2,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[6,5,2,4,1,3]=>[3,1,4,2,5,6]=>[3,4,5,1,6,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[6,5,2,4,3,1]=>[1,3,4,2,5,6]=>[1,3,4,2,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,5,3,1,2,4]=>[4,2,1,3,5,6]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[6,5,3,1,4,2]=>[2,4,1,3,5,6]=>[2,4,5,6,1,3]=>[[.,[.,[.,[.,.]]]],[.,.]]
[6,5,3,2,1,4]=>[4,1,2,3,5,6]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[6,5,3,2,4,1]=>[1,4,2,3,5,6]=>[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[6,5,3,4,1,2]=>[2,1,4,3,5,6]=>[2,4,5,1,6,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,5,4,1,2,3]=>[3,2,1,4,5,6]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[6,5,4,1,3,2]=>[2,3,1,4,5,6]=>[2,3,4,5,1,6]=>[[.,[.,[.,[.,.]]]],[.,.]]
[6,5,4,2,1,3]=>[3,1,2,4,5,6]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[6,5,4,2,3,1]=>[1,3,2,4,5,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,5,4,3,1,2]=>[2,1,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]=>[7,5,4,3,2,1,6]=>[[[[[[.,.],.],.],.],.],[.,.]]
[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>[6,5,4,3,2,7,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]=>[5,4,3,2,1,6,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,2,3,5,6,4,7]=>[7,4,6,5,3,2,1]=>[7,6,4,3,2,5,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1]=>[7,6,4,3,2,1,5]=>[[[[[[.,.],.],.],.],.],[.,.]]
[1,2,3,5,7,4,6]=>[6,4,7,5,3,2,1]=>[6,4,3,2,1,7,5]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,2,3,5,7,6,4]=>[4,6,7,5,3,2,1]=>[6,4,3,2,1,5,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>[7,5,4,3,6,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[1,2,3,6,4,7,5]=>[5,7,4,6,3,2,1]=>[5,4,3,2,7,1,6]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]=>[7,4,3,2,5,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,2,3,6,5,7,4]=>[4,7,5,6,3,2,1]=>[7,4,3,2,5,1,6]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,2,3,6,7,5,4]=>[4,5,7,6,3,2,1]=>[7,4,3,2,1,5,6]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>[6,5,4,3,7,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1]=>[5,4,3,2,6,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,2,3,7,5,4,6]=>[6,4,5,7,3,2,1]=>[6,4,3,2,5,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,2,3,7,5,6,4]=>[4,6,5,7,3,2,1]=>[6,4,3,2,5,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1]=>[5,4,3,2,6,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]=>[4,3,2,1,5,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,2,4,3,6,7,5]=>[5,7,6,3,4,2,1]=>[7,5,3,6,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1]=>[6,5,3,7,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1]=>[5,3,2,6,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1]=>[7,6,5,3,4,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[1,2,4,5,3,7,6]=>[6,7,3,5,4,2,1]=>[6,5,3,2,7,1,4]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,2,4,5,6,3,7]=>[7,3,6,5,4,2,1]=>[7,6,5,3,2,4,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[1,2,4,5,6,7,3]=>[3,7,6,5,4,2,1]=>[7,6,5,3,2,1,4]=>[[[[[[.,.],.],.],.],.],[.,.]]
[1,2,4,5,7,3,6]=>[6,3,7,5,4,2,1]=>[6,5,3,2,1,7,4]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,2,4,5,7,6,3]=>[3,6,7,5,4,2,1]=>[6,5,3,2,1,4,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,2,4,6,3,5,7]=>[7,5,3,6,4,2,1]=>[7,5,3,2,6,4,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,2,4,6,3,7,5]=>[5,7,3,6,4,2,1]=>[7,5,3,2,6,1,4]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,2,4,6,5,3,7]=>[7,3,5,6,4,2,1]=>[7,5,3,2,4,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,2,4,6,5,7,3]=>[3,7,5,6,4,2,1]=>[7,5,3,2,4,1,6]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,2,4,6,7,3,5]=>[5,3,7,6,4,2,1]=>[7,5,3,2,1,6,4]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,2,4,6,7,5,3]=>[3,5,7,6,4,2,1]=>[7,5,3,2,1,4,6]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,2,4,7,3,5,6]=>[6,5,3,7,4,2,1]=>[6,5,3,2,7,4,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,2,4,7,3,6,5]=>[5,6,3,7,4,2,1]=>[5,3,2,1,6,4,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,4,7,5,3,6]=>[6,3,5,7,4,2,1]=>[6,5,3,2,4,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,2,4,7,5,6,3]=>[3,6,5,7,4,2,1]=>[6,5,3,2,4,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,2,4,7,6,3,5]=>[5,3,6,7,4,2,1]=>[5,3,2,1,6,7,4]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,2,4,7,6,5,3]=>[3,5,6,7,4,2,1]=>[5,3,2,1,4,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>[7,6,4,5,3,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1]=>[6,4,3,7,2,1,5]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,2,5,3,6,4,7]=>[7,4,6,3,5,2,1]=>[7,4,3,6,2,5,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,2,5,3,6,7,4]=>[4,7,6,3,5,2,1]=>[7,4,3,6,2,1,5]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1]=>[6,4,3,7,2,5,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,2,5,3,7,6,4]=>[4,6,7,3,5,2,1]=>[4,3,2,6,1,5,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>[7,6,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[1,2,5,4,3,7,6]=>[6,7,3,4,5,2,1]=>[6,3,2,4,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,2,5,4,6,3,7]=>[7,3,6,4,5,2,1]=>[7,6,3,4,2,5,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,2,5,4,6,7,3]=>[3,7,6,4,5,2,1]=>[7,6,3,4,2,1,5]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,2,5,4,7,3,6]=>[6,3,7,4,5,2,1]=>[6,3,2,4,1,7,5]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,2,5,4,7,6,3]=>[3,6,7,4,5,2,1]=>[6,3,2,7,1,4,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,2,5,6,3,7,4]=>[4,7,3,6,5,2,1]=>[7,4,3,2,6,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,2,5,6,4,3,7]=>[7,3,4,6,5,2,1]=>[7,6,3,2,4,5,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,2,5,6,4,7,3]=>[3,7,4,6,5,2,1]=>[7,6,3,2,4,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,2,5,6,7,3,4]=>[4,3,7,6,5,2,1]=>[7,4,3,2,1,6,5]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,2,5,6,7,4,3]=>[3,4,7,6,5,2,1]=>[7,6,3,2,1,4,5]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,2,5,7,3,4,6]=>[6,4,3,7,5,2,1]=>[6,4,3,2,7,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,2,5,7,3,6,4]=>[4,6,3,7,5,2,1]=>[4,3,2,1,6,5,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,5,7,4,3,6]=>[6,3,4,7,5,2,1]=>[6,3,2,1,4,7,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,2,5,7,4,6,3]=>[3,6,4,7,5,2,1]=>[6,3,2,1,7,4,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,5,7,6,3,4]=>[4,3,6,7,5,2,1]=>[4,3,2,1,6,7,5]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,2,5,7,6,4,3]=>[3,4,6,7,5,2,1]=>[6,3,2,1,4,5,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>[7,5,4,6,3,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[1,2,6,3,4,7,5]=>[5,7,4,3,6,2,1]=>[5,4,3,7,2,1,6]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,2,6,3,5,4,7]=>[7,4,5,3,6,2,1]=>[7,4,3,5,2,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,2,6,3,5,7,4]=>[4,7,5,3,6,2,1]=>[7,4,3,5,2,1,6]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,2,6,3,7,4,5]=>[5,4,7,3,6,2,1]=>[5,4,3,7,2,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,2,6,3,7,5,4]=>[4,5,7,3,6,2,1]=>[4,3,2,7,1,5,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,2,6,4,3,5,7]=>[7,5,3,4,6,2,1]=>[7,5,3,4,6,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[1,2,6,4,3,7,5]=>[5,7,3,4,6,2,1]=>[5,3,2,4,7,1,6]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,2,6,4,5,3,7]=>[7,3,5,4,6,2,1]=>[7,5,3,4,2,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,2,6,4,5,7,3]=>[3,7,5,4,6,2,1]=>[7,5,3,4,2,1,6]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,2,6,4,7,3,5]=>[5,3,7,4,6,2,1]=>[5,3,2,4,1,7,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,2,6,4,7,5,3]=>[3,5,7,4,6,2,1]=>[5,3,2,7,1,4,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,2,6,5,3,4,7]=>[7,4,3,5,6,2,1]=>[7,4,3,5,6,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[1,2,6,5,3,7,4]=>[4,7,3,5,6,2,1]=>[4,3,2,5,7,1,6]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1]=>[7,3,2,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,2,6,5,4,7,3]=>[3,7,4,5,6,2,1]=>[7,3,2,4,5,1,6]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,2,6,5,7,3,4]=>[4,3,7,5,6,2,1]=>[4,3,2,5,1,7,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,2,6,5,7,4,3]=>[3,4,7,5,6,2,1]=>[7,3,2,4,1,5,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,2,6,7,3,4,5]=>[5,4,3,7,6,2,1]=>[5,4,3,2,7,6,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,2,6,7,3,5,4]=>[4,5,3,7,6,2,1]=>[4,3,2,1,7,5,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,6,7,4,3,5]=>[5,3,4,7,6,2,1]=>[5,3,2,1,4,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,2,6,7,4,5,3]=>[3,5,4,7,6,2,1]=>[5,3,2,1,7,4,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,6,7,5,3,4]=>[4,3,5,7,6,2,1]=>[4,3,2,1,5,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,2,6,7,5,4,3]=>[3,4,5,7,6,2,1]=>[7,3,2,1,4,5,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>[6,5,4,7,3,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1]=>[5,4,3,6,2,1,7]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,2,7,3,5,4,6]=>[6,4,5,3,7,2,1]=>[6,4,3,5,2,7,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,2,7,3,5,6,4]=>[4,6,5,3,7,2,1]=>[6,4,3,5,2,1,7]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1]=>[5,4,3,6,2,7,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,2,7,3,6,5,4]=>[4,5,6,3,7,2,1]=>[4,3,2,5,1,6,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,2,7,4,3,5,6]=>[6,5,3,4,7,2,1]=>[6,5,3,4,7,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[1,2,7,4,3,6,5]=>[5,6,3,4,7,2,1]=>[5,3,2,6,7,1,4]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,2,7,4,5,3,6]=>[6,3,5,4,7,2,1]=>[6,5,3,4,2,7,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,2,7,4,5,6,3]=>[3,6,5,4,7,2,1]=>[6,5,3,4,2,1,7]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,2,7,4,6,3,5]=>[5,3,6,4,7,2,1]=>[5,3,2,6,1,7,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,2,7,4,6,5,3]=>[3,5,6,4,7,2,1]=>[5,3,2,4,1,6,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,2,7,5,3,4,6]=>[6,4,3,5,7,2,1]=>[6,4,3,5,7,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[1,2,7,5,3,6,4]=>[4,6,3,5,7,2,1]=>[4,3,2,6,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,2,7,5,4,3,6]=>[6,3,4,5,7,2,1]=>[6,3,2,4,5,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,2,7,5,4,6,3]=>[3,6,4,5,7,2,1]=>[6,3,2,4,5,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,2,7,5,6,3,4]=>[4,3,6,5,7,2,1]=>[4,3,2,6,1,7,5]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,2,7,5,6,4,3]=>[3,4,6,5,7,2,1]=>[6,3,2,4,1,5,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1]=>[5,4,3,6,7,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[1,2,7,6,3,5,4]=>[4,5,3,6,7,2,1]=>[4,3,2,5,6,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,2,7,6,4,3,5]=>[5,3,4,6,7,2,1]=>[5,3,2,4,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,2,7,6,4,5,3]=>[3,5,4,6,7,2,1]=>[5,3,2,4,6,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,2,7,6,5,3,4]=>[4,3,5,6,7,2,1]=>[4,3,2,5,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[3,2,1,4,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[1,3,2,4,6,7,5]=>[5,7,6,4,2,3,1]=>[7,5,6,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[1,3,2,4,7,5,6]=>[6,5,7,4,2,3,1]=>[6,5,7,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1]=>[5,4,6,2,1,3,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,3,2,5,6,4,7]=>[7,4,6,5,2,3,1]=>[7,4,6,5,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[1,3,2,5,6,7,4]=>[4,7,6,5,2,3,1]=>[7,4,6,5,2,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[1,3,2,5,7,4,6]=>[6,4,7,5,2,3,1]=>[6,4,7,2,1,5,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,3,2,5,7,6,4]=>[4,6,7,5,2,3,1]=>[6,4,5,2,1,3,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,3,2,6,4,5,7]=>[7,5,4,6,2,3,1]=>[7,5,6,2,4,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,3,2,6,4,7,5]=>[5,7,4,6,2,3,1]=>[5,4,7,2,6,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,3,2,6,5,4,7]=>[7,4,5,6,2,3,1]=>[7,4,5,2,3,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,3,2,6,5,7,4]=>[4,7,5,6,2,3,1]=>[7,4,5,2,3,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,3,2,6,7,4,5]=>[5,4,7,6,2,3,1]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,3,2,6,7,5,4]=>[4,5,7,6,2,3,1]=>[7,4,5,2,1,3,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1]=>[6,5,7,2,4,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,3,2,7,4,6,5]=>[5,6,4,7,2,3,1]=>[5,4,6,2,3,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,3,2,7,5,4,6]=>[6,4,5,7,2,3,1]=>[6,4,5,2,3,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,3,2,7,5,6,4]=>[4,6,5,7,2,3,1]=>[6,4,5,2,3,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,3,2,7,6,4,5]=>[5,4,6,7,2,3,1]=>[5,4,6,2,3,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,3,2,7,6,5,4]=>[4,5,6,7,2,3,1]=>[4,2,5,1,3,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>[7,6,2,5,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[1,3,4,2,5,7,6]=>[6,7,5,2,4,3,1]=>[6,5,4,7,2,1,3]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,3,4,2,6,5,7]=>[7,5,6,2,4,3,1]=>[7,5,4,6,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,3,4,2,6,7,5]=>[5,7,6,2,4,3,1]=>[7,5,4,6,2,1,3]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,3,4,2,7,5,6]=>[6,5,7,2,4,3,1]=>[6,5,4,7,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,3,4,2,7,6,5]=>[5,6,7,2,4,3,1]=>[5,4,2,6,1,3,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1]=>[7,6,5,2,4,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,3,4,5,2,7,6]=>[6,7,2,5,4,3,1]=>[6,5,4,2,7,1,3]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,3,4,5,6,2,7]=>[7,2,6,5,4,3,1]=>[7,6,5,4,2,3,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[1,3,4,5,6,7,2]=>[2,7,6,5,4,3,1]=>[7,6,5,4,2,1,3]=>[[[[[[.,.],.],.],.],.],[.,.]]
[1,3,4,5,7,2,6]=>[6,2,7,5,4,3,1]=>[6,5,4,2,1,7,3]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,3,4,5,7,6,2]=>[2,6,7,5,4,3,1]=>[6,5,4,2,1,3,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,3,4,6,2,5,7]=>[7,5,2,6,4,3,1]=>[7,5,4,2,6,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,3,4,6,2,7,5]=>[5,7,2,6,4,3,1]=>[7,5,4,2,6,1,3]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,3,4,6,5,2,7]=>[7,2,5,6,4,3,1]=>[7,5,4,2,3,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,3,4,6,5,7,2]=>[2,7,5,6,4,3,1]=>[7,5,4,2,3,1,6]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,3,4,6,7,2,5]=>[5,2,7,6,4,3,1]=>[7,5,4,2,1,6,3]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,3,4,6,7,5,2]=>[2,5,7,6,4,3,1]=>[7,5,4,2,1,3,6]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,3,4,7,2,5,6]=>[6,5,2,7,4,3,1]=>[6,5,4,2,7,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,3,4,7,2,6,5]=>[5,6,2,7,4,3,1]=>[5,4,2,1,6,3,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,3,4,7,5,2,6]=>[6,2,5,7,4,3,1]=>[6,5,4,2,3,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,3,4,7,5,6,2]=>[2,6,5,7,4,3,1]=>[6,5,4,2,3,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,3,4,7,6,2,5]=>[5,2,6,7,4,3,1]=>[5,4,2,1,6,7,3]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,3,4,7,6,5,2]=>[2,5,6,7,4,3,1]=>[5,4,2,1,3,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,3,5,2,4,6,7]=>[7,6,4,2,5,3,1]=>[7,4,2,6,5,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[1,3,5,2,4,7,6]=>[6,7,4,2,5,3,1]=>[6,4,2,7,5,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,3,5,2,6,4,7]=>[7,4,6,2,5,3,1]=>[7,6,4,5,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,3,5,2,6,7,4]=>[4,7,6,2,5,3,1]=>[7,6,4,5,2,1,3]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,3,5,2,7,4,6]=>[6,4,7,2,5,3,1]=>[6,4,2,7,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,3,5,2,7,6,4]=>[4,6,7,2,5,3,1]=>[6,4,2,5,1,3,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,3,5,4,2,6,7]=>[7,6,2,4,5,3,1]=>[7,6,2,4,5,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[1,3,5,4,2,7,6]=>[6,7,2,4,5,3,1]=>[6,4,2,3,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,3,5,4,6,2,7]=>[7,2,6,4,5,3,1]=>[7,6,2,4,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,3,5,4,6,7,2]=>[2,7,6,4,5,3,1]=>[7,6,2,4,3,1,5]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,3,5,4,7,2,6]=>[6,2,7,4,5,3,1]=>[6,4,2,3,1,7,5]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,3,5,4,7,6,2]=>[2,6,7,4,5,3,1]=>[6,4,2,7,1,3,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,3,5,6,2,4,7]=>[7,4,2,6,5,3,1]=>[7,6,4,2,5,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,3,5,6,2,7,4]=>[4,7,2,6,5,3,1]=>[7,6,4,2,5,1,3]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,3,5,6,4,2,7]=>[7,2,4,6,5,3,1]=>[7,6,4,2,3,5,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,3,5,6,4,7,2]=>[2,7,4,6,5,3,1]=>[7,6,4,2,3,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,3,5,6,7,2,4]=>[4,2,7,6,5,3,1]=>[7,6,4,2,1,5,3]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,3,5,6,7,4,2]=>[2,4,7,6,5,3,1]=>[7,6,4,2,1,3,5]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,3,5,7,2,4,6]=>[6,4,2,7,5,3,1]=>[6,4,2,1,7,5,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,3,5,7,2,6,4]=>[4,6,2,7,5,3,1]=>[6,4,2,1,5,3,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,3,5,7,4,2,6]=>[6,2,4,7,5,3,1]=>[6,4,2,1,3,7,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,3,5,7,4,6,2]=>[2,6,4,7,5,3,1]=>[6,4,2,1,7,3,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,3,5,7,6,2,4]=>[4,2,6,7,5,3,1]=>[6,4,2,1,5,7,3]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,3,5,7,6,4,2]=>[2,4,6,7,5,3,1]=>[6,4,2,1,3,5,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,3,6,2,4,5,7]=>[7,5,4,2,6,3,1]=>[7,5,2,6,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[1,3,6,2,4,7,5]=>[5,7,4,2,6,3,1]=>[5,4,2,7,6,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,3,6,2,5,4,7]=>[7,4,5,2,6,3,1]=>[7,4,2,5,3,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,3,6,2,5,7,4]=>[4,7,5,2,6,3,1]=>[7,4,2,5,3,1,6]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,3,6,2,7,4,5]=>[5,4,7,2,6,3,1]=>[5,4,2,7,1,6,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,3,6,2,7,5,4]=>[4,5,7,2,6,3,1]=>[7,4,2,5,1,3,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1]=>[7,5,2,4,6,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[1,3,6,4,2,7,5]=>[5,7,2,4,6,3,1]=>[5,4,2,3,7,1,6]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,3,6,4,5,2,7]=>[7,2,5,4,6,3,1]=>[7,5,2,4,3,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,3,6,4,5,7,2]=>[2,7,5,4,6,3,1]=>[7,5,2,4,3,1,6]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,3,6,4,7,2,5]=>[5,2,7,4,6,3,1]=>[5,4,2,3,1,7,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,3,6,4,7,5,2]=>[2,5,7,4,6,3,1]=>[5,4,2,7,1,3,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,3,6,5,2,4,7]=>[7,4,2,5,6,3,1]=>[7,4,2,5,6,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[1,3,6,5,2,7,4]=>[4,7,2,5,6,3,1]=>[7,4,2,5,6,1,3]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,3,6,5,4,2,7]=>[7,2,4,5,6,3,1]=>[7,4,2,3,5,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,3,6,5,4,7,2]=>[2,7,4,5,6,3,1]=>[7,4,2,3,5,1,6]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,3,6,5,7,2,4]=>[4,2,7,5,6,3,1]=>[7,4,2,5,1,6,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,3,6,5,7,4,2]=>[2,4,7,5,6,3,1]=>[7,4,2,3,1,5,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,3,6,7,2,4,5]=>[5,4,2,7,6,3,1]=>[5,4,2,1,7,6,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,3,6,7,2,5,4]=>[4,5,2,7,6,3,1]=>[7,4,2,1,5,3,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,3,6,7,4,2,5]=>[5,2,4,7,6,3,1]=>[5,4,2,1,3,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,3,6,7,4,5,2]=>[2,5,4,7,6,3,1]=>[5,4,2,1,7,3,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,3,6,7,5,2,4]=>[4,2,5,7,6,3,1]=>[7,4,2,1,5,6,3]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,3,6,7,5,4,2]=>[2,4,5,7,6,3,1]=>[7,4,2,1,3,5,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,3,7,2,4,5,6]=>[6,5,4,2,7,3,1]=>[6,5,2,7,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[1,3,7,2,4,6,5]=>[5,6,4,2,7,3,1]=>[5,4,2,6,3,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,3,7,2,5,4,6]=>[6,4,5,2,7,3,1]=>[6,4,2,5,3,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,3,7,2,5,6,4]=>[4,6,5,2,7,3,1]=>[6,4,2,5,3,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,3,7,2,6,4,5]=>[5,4,6,2,7,3,1]=>[5,4,2,6,3,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,3,7,2,6,5,4]=>[4,5,6,2,7,3,1]=>[4,2,1,5,3,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,3,7,4,2,5,6]=>[6,5,2,4,7,3,1]=>[6,5,2,4,7,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[1,3,7,4,2,6,5]=>[5,6,2,4,7,3,1]=>[5,4,2,6,7,1,3]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,3,7,4,5,2,6]=>[6,2,5,4,7,3,1]=>[6,5,2,4,3,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,3,7,4,5,6,2]=>[2,6,5,4,7,3,1]=>[6,5,2,4,3,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,3,7,4,6,2,5]=>[5,2,6,4,7,3,1]=>[5,4,2,6,1,7,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,3,7,4,6,5,2]=>[2,5,6,4,7,3,1]=>[5,4,2,3,1,6,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,3,7,5,2,4,6]=>[6,4,2,5,7,3,1]=>[6,4,2,5,7,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[1,3,7,5,2,6,4]=>[4,6,2,5,7,3,1]=>[6,4,2,5,7,1,3]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,3,7,5,4,2,6]=>[6,2,4,5,7,3,1]=>[6,4,2,3,5,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,3,7,5,4,6,2]=>[2,6,4,5,7,3,1]=>[6,4,2,3,5,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,3,7,5,6,2,4]=>[4,2,6,5,7,3,1]=>[6,4,2,5,1,7,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,3,7,5,6,4,2]=>[2,4,6,5,7,3,1]=>[6,4,2,3,1,5,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,3,7,6,2,4,5]=>[5,4,2,6,7,3,1]=>[5,4,2,6,7,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[1,3,7,6,2,5,4]=>[4,5,2,6,7,3,1]=>[4,2,1,5,6,3,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,3,7,6,4,2,5]=>[5,2,4,6,7,3,1]=>[5,4,2,3,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,3,7,6,4,5,2]=>[2,5,4,6,7,3,1]=>[5,4,2,3,6,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,3,7,6,5,2,4]=>[4,2,5,6,7,3,1]=>[4,2,1,5,6,7,3]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[1,3,7,6,5,4,2]=>[2,4,5,6,7,3,1]=>[4,2,1,3,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[7,3,6,5,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[1,4,2,3,5,7,6]=>[6,7,5,3,2,4,1]=>[6,5,7,3,2,1,4]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[1,4,2,3,6,5,7]=>[7,5,6,3,2,4,1]=>[7,5,6,3,2,4,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[1,4,2,3,6,7,5]=>[5,7,6,3,2,4,1]=>[7,5,6,3,2,1,4]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1]=>[6,5,7,3,2,4,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[1,4,2,3,7,6,5]=>[5,6,7,3,2,4,1]=>[5,3,6,2,1,4,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,4,2,5,3,6,7]=>[7,6,3,5,2,4,1]=>[7,3,6,2,5,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,4,2,5,3,7,6]=>[6,7,3,5,2,4,1]=>[6,3,7,2,5,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,4,2,5,6,3,7]=>[7,3,6,5,2,4,1]=>[7,3,6,5,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[1,4,2,5,6,7,3]=>[3,7,6,5,2,4,1]=>[7,3,6,5,2,1,4]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[1,4,2,5,7,3,6]=>[6,3,7,5,2,4,1]=>[6,3,7,2,1,5,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,4,2,5,7,6,3]=>[3,6,7,5,2,4,1]=>[6,3,5,2,1,4,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1]=>[7,5,6,3,4,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[1,4,2,6,3,7,5]=>[5,7,3,6,2,4,1]=>[5,3,7,2,6,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,4,2,6,5,3,7]=>[7,3,5,6,2,4,1]=>[7,3,5,2,4,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,4,2,6,5,7,3]=>[3,7,5,6,2,4,1]=>[7,3,5,2,4,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,4,2,6,7,3,5]=>[5,3,7,6,2,4,1]=>[5,3,7,2,1,6,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,4,2,6,7,5,3]=>[3,5,7,6,2,4,1]=>[7,3,5,2,1,4,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,4,2,7,3,5,6]=>[6,5,3,7,2,4,1]=>[6,5,7,3,4,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[1,4,2,7,3,6,5]=>[5,6,3,7,2,4,1]=>[5,3,6,2,4,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,4,2,7,5,3,6]=>[6,3,5,7,2,4,1]=>[6,3,5,2,4,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,4,2,7,5,6,3]=>[3,6,5,7,2,4,1]=>[6,3,5,2,4,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,4,2,7,6,3,5]=>[5,3,6,7,2,4,1]=>[5,3,6,2,4,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,4,2,7,6,5,3]=>[3,5,6,7,2,4,1]=>[3,2,5,1,4,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]=>[7,2,3,6,5,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1]=>[6,2,5,7,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1]=>[7,2,5,6,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,4,3,2,6,7,5]=>[5,7,6,2,3,4,1]=>[7,2,5,6,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[1,4,3,2,7,5,6]=>[6,5,7,2,3,4,1]=>[6,2,5,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1]=>[5,2,6,7,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,4,3,5,2,6,7]=>[7,6,2,5,3,4,1]=>[7,2,6,3,5,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[1,4,3,5,2,7,6]=>[6,7,2,5,3,4,1]=>[6,2,5,3,7,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,4,3,5,6,2,7]=>[7,2,6,5,3,4,1]=>[7,2,6,5,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[1,4,3,5,6,7,2]=>[2,7,6,5,3,4,1]=>[7,2,6,5,3,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[1,4,3,5,7,2,6]=>[6,2,7,5,3,4,1]=>[6,2,5,3,1,7,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,4,3,5,7,6,2]=>[2,6,7,5,3,4,1]=>[6,5,7,2,1,3,4]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,4,3,6,2,5,7]=>[7,5,2,6,3,4,1]=>[7,2,5,3,6,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[1,4,3,6,2,7,5]=>[5,7,2,6,3,4,1]=>[7,2,5,3,6,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,4,3,6,5,2,7]=>[7,2,5,6,3,4,1]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,4,3,6,5,7,2]=>[2,7,5,6,3,4,1]=>[7,5,6,2,3,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,4,3,6,7,2,5]=>[5,2,7,6,3,4,1]=>[7,2,5,3,1,6,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,4,3,6,7,5,2]=>[2,5,7,6,3,4,1]=>[7,5,6,2,1,3,4]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,4,3,7,2,5,6]=>[6,5,2,7,3,4,1]=>[6,2,5,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[1,4,3,7,2,6,5]=>[5,6,2,7,3,4,1]=>[5,2,6,1,7,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,4,3,7,5,2,6]=>[6,2,5,7,3,4,1]=>[6,5,7,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,4,3,7,5,6,2]=>[2,6,5,7,3,4,1]=>[6,5,7,2,3,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,4,3,7,6,2,5]=>[5,2,6,7,3,4,1]=>[5,2,6,1,3,7,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,4,3,7,6,5,2]=>[2,5,6,7,3,4,1]=>[5,2,6,1,3,4,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[1,4,5,2,3,7,6]=>[6,7,3,2,5,4,1]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,4,5,2,6,3,7]=>[7,3,6,2,5,4,1]=>[7,6,3,5,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,4,5,2,6,7,3]=>[3,7,6,2,5,4,1]=>[7,6,3,5,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,4,5,2,7,3,6]=>[6,3,7,2,5,4,1]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,4,5,2,7,6,3]=>[3,6,7,2,5,4,1]=>[6,3,2,5,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,4,5,3,2,6,7]=>[7,6,2,3,5,4,1]=>[7,6,2,3,5,4,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[1,4,5,3,2,7,6]=>[6,7,2,3,5,4,1]=>[6,5,2,3,7,1,4]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,4,5,3,6,2,7]=>[7,2,6,3,5,4,1]=>[7,6,2,5,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,4,5,3,6,7,2]=>[2,7,6,3,5,4,1]=>[7,6,2,5,3,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,4,5,3,7,2,6]=>[6,2,7,3,5,4,1]=>[6,5,2,3,1,7,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,4,5,3,7,6,2]=>[2,6,7,3,5,4,1]=>[6,5,2,7,1,3,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,4,5,6,2,3,7]=>[7,3,2,6,5,4,1]=>[7,6,3,2,5,4,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,4,5,6,2,7,3]=>[3,7,2,6,5,4,1]=>[7,6,3,2,5,1,4]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,4,5,6,3,2,7]=>[7,2,3,6,5,4,1]=>[7,6,5,2,3,4,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,4,5,6,3,7,2]=>[2,7,3,6,5,4,1]=>[7,6,5,2,3,1,4]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1]=>[7,6,3,2,1,5,4]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,4,5,6,7,3,2]=>[2,3,7,6,5,4,1]=>[7,6,5,2,1,3,4]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,4,5,7,2,3,6]=>[6,3,2,7,5,4,1]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,4,5,7,2,6,3]=>[3,6,2,7,5,4,1]=>[6,3,2,1,5,4,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,4,5,7,3,2,6]=>[6,2,3,7,5,4,1]=>[6,5,2,1,3,7,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,4,5,7,3,6,2]=>[2,6,3,7,5,4,1]=>[6,5,2,1,7,3,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,4,5,7,6,2,3]=>[3,2,6,7,5,4,1]=>[6,3,2,1,5,7,4]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,4,5,7,6,3,2]=>[2,3,6,7,5,4,1]=>[6,5,2,1,3,4,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,4,6,2,3,5,7]=>[7,5,3,2,6,4,1]=>[7,5,3,6,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[1,4,6,2,3,7,5]=>[5,7,3,2,6,4,1]=>[5,3,2,7,6,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,4,6,2,5,3,7]=>[7,3,5,2,6,4,1]=>[7,3,2,5,4,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,4,6,2,5,7,3]=>[3,7,5,2,6,4,1]=>[7,3,2,5,4,1,6]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,4,6,2,7,3,5]=>[5,3,7,2,6,4,1]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,4,6,2,7,5,3]=>[3,5,7,2,6,4,1]=>[7,3,2,5,1,4,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,4,6,3,2,5,7]=>[7,5,2,3,6,4,1]=>[7,5,2,3,6,4,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[1,4,6,3,2,7,5]=>[5,7,2,3,6,4,1]=>[7,5,2,3,6,1,4]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,4,6,3,5,2,7]=>[7,2,5,3,6,4,1]=>[7,5,2,6,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,4,6,3,5,7,2]=>[2,7,5,3,6,4,1]=>[7,5,2,6,3,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,4,6,3,7,2,5]=>[5,2,7,3,6,4,1]=>[7,5,2,3,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,4,6,3,7,5,2]=>[2,5,7,3,6,4,1]=>[7,5,2,6,1,3,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,4,6,5,2,3,7]=>[7,3,2,5,6,4,1]=>[7,3,2,5,6,4,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[1,4,6,5,2,7,3]=>[3,7,2,5,6,4,1]=>[7,3,2,5,6,1,4]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,4,6,5,3,2,7]=>[7,2,3,5,6,4,1]=>[7,5,2,3,4,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,4,6,5,3,7,2]=>[2,7,3,5,6,4,1]=>[7,5,2,3,4,1,6]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,4,6,5,7,2,3]=>[3,2,7,5,6,4,1]=>[7,3,2,5,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,4,6,5,7,3,2]=>[2,3,7,5,6,4,1]=>[7,5,2,3,1,4,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,4,6,7,2,3,5]=>[5,3,2,7,6,4,1]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,4,6,7,2,5,3]=>[3,5,2,7,6,4,1]=>[7,3,2,1,5,4,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,4,6,7,3,2,5]=>[5,2,3,7,6,4,1]=>[7,5,2,1,3,6,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,4,6,7,3,5,2]=>[2,5,3,7,6,4,1]=>[7,5,2,1,6,3,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,4,6,7,5,2,3]=>[3,2,5,7,6,4,1]=>[7,3,2,1,5,6,4]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,4,6,7,5,3,2]=>[2,3,5,7,6,4,1]=>[7,5,2,1,3,4,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,4,7,2,3,5,6]=>[6,5,3,2,7,4,1]=>[6,5,3,7,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[1,4,7,2,3,6,5]=>[5,6,3,2,7,4,1]=>[5,3,2,6,4,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,4,7,2,5,3,6]=>[6,3,5,2,7,4,1]=>[6,3,2,5,4,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,4,7,2,5,6,3]=>[3,6,5,2,7,4,1]=>[6,3,2,5,4,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,4,7,2,6,3,5]=>[5,3,6,2,7,4,1]=>[5,3,2,6,4,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,4,7,2,6,5,3]=>[3,5,6,2,7,4,1]=>[3,2,1,5,4,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,4,7,3,2,5,6]=>[6,5,2,3,7,4,1]=>[6,5,2,3,7,4,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[1,4,7,3,2,6,5]=>[5,6,2,3,7,4,1]=>[5,2,1,6,7,3,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,4,7,3,5,2,6]=>[6,2,5,3,7,4,1]=>[6,5,2,7,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,4,7,3,5,6,2]=>[2,6,5,3,7,4,1]=>[6,5,2,7,3,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,4,7,3,6,2,5]=>[5,2,6,3,7,4,1]=>[5,2,1,6,3,7,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,4,7,3,6,5,2]=>[2,5,6,3,7,4,1]=>[5,2,1,6,3,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,4,7,5,2,3,6]=>[6,3,2,5,7,4,1]=>[6,3,2,5,7,4,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[1,4,7,5,2,6,3]=>[3,6,2,5,7,4,1]=>[6,3,2,5,7,1,4]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,4,7,5,3,2,6]=>[6,2,3,5,7,4,1]=>[6,5,2,3,4,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,4,7,5,3,6,2]=>[2,6,3,5,7,4,1]=>[6,5,2,3,4,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,4,7,5,6,2,3]=>[3,2,6,5,7,4,1]=>[6,3,2,5,1,7,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,4,7,5,6,3,2]=>[2,3,6,5,7,4,1]=>[6,5,2,3,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,4,7,6,2,3,5]=>[5,3,2,6,7,4,1]=>[5,3,2,6,7,4,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[1,4,7,6,2,5,3]=>[3,5,2,6,7,4,1]=>[3,2,1,5,6,4,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,4,7,6,3,2,5]=>[5,2,3,6,7,4,1]=>[5,2,1,3,6,7,4]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[1,4,7,6,3,5,2]=>[2,5,3,6,7,4,1]=>[5,2,1,3,6,4,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,4,7,6,5,2,3]=>[3,2,5,6,7,4,1]=>[3,2,1,5,6,7,4]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[1,4,7,6,5,3,2]=>[2,3,5,6,7,4,1]=>[5,2,1,3,4,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>[7,4,6,5,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1]=>[6,4,7,3,2,1,5]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[1,5,2,3,6,4,7]=>[7,4,6,3,2,5,1]=>[7,4,6,3,2,5,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[1,5,2,3,6,7,4]=>[4,7,6,3,2,5,1]=>[7,4,6,3,2,1,5]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1]=>[6,4,7,3,2,5,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[1,5,2,3,7,6,4]=>[4,6,7,3,2,5,1]=>[4,3,6,2,1,5,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,5,2,4,3,6,7]=>[7,6,3,4,2,5,1]=>[7,3,6,4,5,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[1,5,2,4,3,7,6]=>[6,7,3,4,2,5,1]=>[6,3,4,2,7,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,5,2,4,6,3,7]=>[7,3,6,4,2,5,1]=>[7,3,6,4,2,5,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[1,5,2,4,6,7,3]=>[3,7,6,4,2,5,1]=>[7,3,6,4,2,1,5]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[1,5,2,4,7,3,6]=>[6,3,7,4,2,5,1]=>[6,3,4,2,1,7,5]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,5,2,4,7,6,3]=>[3,6,7,4,2,5,1]=>[6,3,7,2,1,4,5]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,5,2,6,3,4,7]=>[7,4,3,6,2,5,1]=>[7,4,6,3,5,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[1,5,2,6,3,7,4]=>[4,7,3,6,2,5,1]=>[4,3,7,2,6,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,5,2,6,4,3,7]=>[7,3,4,6,2,5,1]=>[7,3,6,2,4,5,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,5,2,6,4,7,3]=>[3,7,4,6,2,5,1]=>[7,3,6,2,4,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,5,2,6,7,3,4]=>[4,3,7,6,2,5,1]=>[4,3,7,2,1,6,5]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,5,2,6,7,4,3]=>[3,4,7,6,2,5,1]=>[7,3,6,2,1,4,5]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1]=>[6,4,7,3,5,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[1,5,2,7,3,6,4]=>[4,6,3,7,2,5,1]=>[4,3,6,2,5,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,5,2,7,4,3,6]=>[6,3,4,7,2,5,1]=>[6,3,7,2,4,5,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,5,2,7,4,6,3]=>[3,6,4,7,2,5,1]=>[6,3,7,2,4,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,5,2,7,6,3,4]=>[4,3,6,7,2,5,1]=>[4,3,6,2,5,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,5,2,7,6,4,3]=>[3,4,6,7,2,5,1]=>[3,2,6,1,4,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1]=>[7,2,4,6,5,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[1,5,3,2,4,7,6]=>[6,7,4,2,3,5,1]=>[6,2,4,7,3,1,5]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[1,5,3,2,6,4,7]=>[7,4,6,2,3,5,1]=>[7,2,4,6,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,5,3,2,6,7,4]=>[4,7,6,2,3,5,1]=>[7,2,4,6,3,1,5]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[1,5,3,2,7,4,6]=>[6,4,7,2,3,5,1]=>[6,2,4,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,5,3,2,7,6,4]=>[4,6,7,2,3,5,1]=>[4,2,6,7,1,3,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,5,3,4,2,6,7]=>[7,6,2,4,3,5,1]=>[7,2,6,4,5,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[1,5,3,4,2,7,6]=>[6,7,2,4,3,5,1]=>[6,2,4,3,7,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,5,3,4,6,2,7]=>[7,2,6,4,3,5,1]=>[7,2,6,4,3,5,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[1,5,3,4,6,7,2]=>[2,7,6,4,3,5,1]=>[7,2,6,4,3,1,5]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[1,5,3,4,7,2,6]=>[6,2,7,4,3,5,1]=>[6,2,4,3,1,7,5]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,5,3,4,7,6,2]=>[2,6,7,4,3,5,1]=>[6,4,7,2,1,3,5]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,5,3,6,2,4,7]=>[7,4,2,6,3,5,1]=>[7,2,4,3,6,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[1,5,3,6,2,7,4]=>[4,7,2,6,3,5,1]=>[7,2,4,3,6,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,5,3,6,4,2,7]=>[7,2,4,6,3,5,1]=>[7,4,6,2,3,5,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,5,3,6,4,7,2]=>[2,7,4,6,3,5,1]=>[7,4,6,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,5,3,6,7,2,4]=>[4,2,7,6,3,5,1]=>[7,2,4,3,1,6,5]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,5,3,6,7,4,2]=>[2,4,7,6,3,5,1]=>[7,4,6,2,1,3,5]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,5,3,7,2,4,6]=>[6,4,2,7,3,5,1]=>[6,2,4,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[1,5,3,7,2,6,4]=>[4,6,2,7,3,5,1]=>[4,2,6,1,7,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,5,3,7,4,2,6]=>[6,2,4,7,3,5,1]=>[6,4,7,2,3,5,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,5,3,7,4,6,2]=>[2,6,4,7,3,5,1]=>[6,4,7,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,5,3,7,6,2,4]=>[4,2,6,7,3,5,1]=>[4,2,6,1,3,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,5,3,7,6,4,2]=>[2,4,6,7,3,5,1]=>[4,2,6,1,3,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,5,4,2,3,6,7]=>[7,6,3,2,4,5,1]=>[7,3,4,6,5,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[1,5,4,2,3,7,6]=>[6,7,3,2,4,5,1]=>[6,3,4,7,2,1,5]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,5,4,2,6,3,7]=>[7,3,6,2,4,5,1]=>[7,3,4,6,2,5,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[1,5,4,2,6,7,3]=>[3,7,6,2,4,5,1]=>[7,3,4,6,2,1,5]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,5,4,2,7,3,6]=>[6,3,7,2,4,5,1]=>[6,3,4,7,2,5,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[1,5,4,2,7,6,3]=>[3,6,7,2,4,5,1]=>[3,2,6,7,1,4,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1]=>[7,2,3,4,6,5,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[1,5,4,3,2,7,6]=>[6,7,2,3,4,5,1]=>[6,2,3,4,7,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,5,4,3,6,2,7]=>[7,2,6,3,4,5,1]=>[7,2,3,6,4,5,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[1,5,4,3,6,7,2]=>[2,7,6,3,4,5,1]=>[7,2,3,6,4,1,5]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[1,5,4,3,7,2,6]=>[6,2,7,3,4,5,1]=>[6,2,3,4,1,7,5]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,5,4,3,7,6,2]=>[2,6,7,3,4,5,1]=>[6,2,3,7,1,4,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,5,4,6,2,3,7]=>[7,3,2,6,4,5,1]=>[7,3,4,2,6,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,5,4,6,2,7,3]=>[3,7,2,6,4,5,1]=>[7,3,4,2,6,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,5,4,6,3,2,7]=>[7,2,3,6,4,5,1]=>[7,2,6,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,5,4,6,3,7,2]=>[2,7,3,6,4,5,1]=>[7,2,6,3,4,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,5,4,6,7,2,3]=>[3,2,7,6,4,5,1]=>[7,3,4,2,1,6,5]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,5,4,6,7,3,2]=>[2,3,7,6,4,5,1]=>[7,2,6,3,1,4,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,5,4,7,2,3,6]=>[6,3,2,7,4,5,1]=>[6,3,4,2,7,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,5,4,7,2,6,3]=>[3,6,2,7,4,5,1]=>[3,2,6,1,7,4,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,5,4,7,3,2,6]=>[6,2,3,7,4,5,1]=>[6,2,3,1,4,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,5,4,7,3,6,2]=>[2,6,3,7,4,5,1]=>[6,2,3,1,7,4,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,5,4,7,6,2,3]=>[3,2,6,7,4,5,1]=>[3,2,6,1,4,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,5,4,7,6,3,2]=>[2,3,6,7,4,5,1]=>[6,2,7,1,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,5,6,2,3,4,7]=>[7,4,3,2,6,5,1]=>[7,4,3,6,5,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[1,5,6,2,3,7,4]=>[4,7,3,2,6,5,1]=>[4,3,2,7,6,1,5]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,5,6,2,4,3,7]=>[7,3,4,2,6,5,1]=>[7,3,2,6,4,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,5,6,2,4,7,3]=>[3,7,4,2,6,5,1]=>[7,3,2,6,4,1,5]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,5,6,2,7,3,4]=>[4,3,7,2,6,5,1]=>[4,3,2,7,1,6,5]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,5,6,2,7,4,3]=>[3,4,7,2,6,5,1]=>[7,3,2,6,1,4,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,5,6,3,2,4,7]=>[7,4,2,3,6,5,1]=>[7,4,2,3,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[1,5,6,3,2,7,4]=>[4,7,2,3,6,5,1]=>[7,4,2,3,6,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,5,6,3,4,2,7]=>[7,2,4,3,6,5,1]=>[7,4,2,6,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,5,6,3,4,7,2]=>[2,7,4,3,6,5,1]=>[7,4,2,6,3,1,5]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,5,6,3,7,2,4]=>[4,2,7,3,6,5,1]=>[7,4,2,3,1,6,5]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,5,6,3,7,4,2]=>[2,4,7,3,6,5,1]=>[7,4,2,6,1,3,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>[7,3,2,4,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[1,5,6,4,2,7,3]=>[3,7,2,4,6,5,1]=>[7,3,2,4,6,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,5,6,4,3,2,7]=>[7,2,3,4,6,5,1]=>[7,6,2,3,4,5,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,5,6,4,3,7,2]=>[2,7,3,4,6,5,1]=>[7,6,2,3,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,5,6,4,7,2,3]=>[3,2,7,4,6,5,1]=>[7,3,2,4,1,6,5]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,5,6,4,7,3,2]=>[2,3,7,4,6,5,1]=>[7,6,2,3,1,4,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,5,6,7,2,3,4]=>[4,3,2,7,6,5,1]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,5,6,7,2,4,3]=>[3,4,2,7,6,5,1]=>[7,3,2,1,6,4,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,5,6,7,3,2,4]=>[4,2,3,7,6,5,1]=>[7,4,2,1,3,6,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,5,6,7,3,4,2]=>[2,4,3,7,6,5,1]=>[7,4,2,1,6,3,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,5,6,7,4,2,3]=>[3,2,4,7,6,5,1]=>[7,3,2,1,4,6,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,5,6,7,4,3,2]=>[2,3,4,7,6,5,1]=>[7,6,2,1,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,5,7,2,3,4,6]=>[6,4,3,2,7,5,1]=>[6,4,3,7,5,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[1,5,7,2,3,6,4]=>[4,6,3,2,7,5,1]=>[4,3,2,6,5,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,5,7,2,4,3,6]=>[6,3,4,2,7,5,1]=>[6,3,2,7,4,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,5,7,2,4,6,3]=>[3,6,4,2,7,5,1]=>[6,3,2,7,4,1,5]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,5,7,2,6,3,4]=>[4,3,6,2,7,5,1]=>[4,3,2,6,5,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,5,7,2,6,4,3]=>[3,4,6,2,7,5,1]=>[3,2,1,6,4,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,5,7,3,2,4,6]=>[6,4,2,3,7,5,1]=>[6,4,2,3,7,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[1,5,7,3,2,6,4]=>[4,6,2,3,7,5,1]=>[4,2,1,6,7,3,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,5,7,3,4,2,6]=>[6,2,4,3,7,5,1]=>[6,4,2,7,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,5,7,3,4,6,2]=>[2,6,4,3,7,5,1]=>[6,4,2,7,3,1,5]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,5,7,3,6,2,4]=>[4,2,6,3,7,5,1]=>[4,2,1,6,3,7,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,5,7,3,6,4,2]=>[2,4,6,3,7,5,1]=>[4,2,1,6,3,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,5,7,4,2,3,6]=>[6,3,2,4,7,5,1]=>[6,3,2,4,7,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[1,5,7,4,2,6,3]=>[3,6,2,4,7,5,1]=>[3,2,1,6,7,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,5,7,4,3,2,6]=>[6,2,3,4,7,5,1]=>[6,2,1,3,4,7,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,5,7,4,3,6,2]=>[2,6,3,4,7,5,1]=>[6,2,1,3,7,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,5,7,4,6,2,3]=>[3,2,6,4,7,5,1]=>[3,2,1,6,4,7,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,5,7,4,6,3,2]=>[2,3,6,4,7,5,1]=>[6,2,1,7,3,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,5,7,6,2,3,4]=>[4,3,2,6,7,5,1]=>[4,3,2,6,7,5,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[1,5,7,6,2,4,3]=>[3,4,2,6,7,5,1]=>[3,2,1,4,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,5,7,6,3,2,4]=>[4,2,3,6,7,5,1]=>[4,2,1,3,6,7,5]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[1,5,7,6,3,4,2]=>[2,4,3,6,7,5,1]=>[4,2,1,3,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,5,7,6,4,2,3]=>[3,2,4,6,7,5,1]=>[3,2,1,4,6,7,5]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[1,5,7,6,4,3,2]=>[2,3,4,6,7,5,1]=>[6,2,1,3,4,5,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>[7,5,6,4,3,2,1]=>[[[[[[.,.],[.,.]],.],.],.],.]
[1,6,2,3,4,7,5]=>[5,7,4,3,2,6,1]=>[5,4,7,3,2,1,6]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[1,6,2,3,5,4,7]=>[7,4,5,3,2,6,1]=>[7,4,5,3,2,6,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[1,6,2,3,5,7,4]=>[4,7,5,3,2,6,1]=>[7,4,5,3,2,1,6]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[1,6,2,3,7,4,5]=>[5,4,7,3,2,6,1]=>[5,4,7,3,2,6,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[1,6,2,3,7,5,4]=>[4,5,7,3,2,6,1]=>[4,3,7,2,1,5,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,6,2,4,3,5,7]=>[7,5,3,4,2,6,1]=>[7,3,5,4,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[1,6,2,4,3,7,5]=>[5,7,3,4,2,6,1]=>[5,3,4,2,7,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,6,2,4,5,3,7]=>[7,3,5,4,2,6,1]=>[7,3,5,4,2,6,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[1,6,2,4,5,7,3]=>[3,7,5,4,2,6,1]=>[7,3,5,4,2,1,6]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[1,6,2,4,7,3,5]=>[5,3,7,4,2,6,1]=>[5,3,4,2,1,7,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,6,2,4,7,5,3]=>[3,5,7,4,2,6,1]=>[5,3,7,2,1,4,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,6,2,5,3,4,7]=>[7,4,3,5,2,6,1]=>[7,4,5,3,6,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[1,6,2,5,3,7,4]=>[4,7,3,5,2,6,1]=>[4,3,5,2,7,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,6,2,5,4,3,7]=>[7,3,4,5,2,6,1]=>[7,3,4,2,5,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,6,2,5,4,7,3]=>[3,7,4,5,2,6,1]=>[7,3,4,2,5,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,6,2,5,7,3,4]=>[4,3,7,5,2,6,1]=>[4,3,5,2,1,7,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,6,2,5,7,4,3]=>[3,4,7,5,2,6,1]=>[7,3,4,2,1,5,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,6,2,7,3,4,5]=>[5,4,3,7,2,6,1]=>[5,4,7,3,6,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[1,6,2,7,3,5,4]=>[4,5,3,7,2,6,1]=>[4,3,7,2,5,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,6,2,7,4,3,5]=>[5,3,4,7,2,6,1]=>[5,3,7,2,4,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,6,2,7,4,5,3]=>[3,5,4,7,2,6,1]=>[5,3,7,2,4,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,6,2,7,5,3,4]=>[4,3,5,7,2,6,1]=>[4,3,7,2,5,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,6,2,7,5,4,3]=>[3,4,5,7,2,6,1]=>[3,2,7,1,4,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,6,3,2,4,5,7]=>[7,5,4,2,3,6,1]=>[7,2,5,6,4,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[1,6,3,2,4,7,5]=>[5,7,4,2,3,6,1]=>[5,2,4,7,3,1,6]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[1,6,3,2,5,4,7]=>[7,4,5,2,3,6,1]=>[7,4,5,6,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[1,6,3,2,5,7,4]=>[4,7,5,2,3,6,1]=>[7,4,5,6,2,1,3]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,6,3,2,7,4,5]=>[5,4,7,2,3,6,1]=>[5,2,4,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,6,3,2,7,5,4]=>[4,5,7,2,3,6,1]=>[4,2,5,7,1,3,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,6,3,4,2,5,7]=>[7,5,2,4,3,6,1]=>[7,2,5,4,6,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[1,6,3,4,2,7,5]=>[5,7,2,4,3,6,1]=>[5,2,4,3,7,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>[7,2,5,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[1,6,3,4,5,7,2]=>[2,7,5,4,3,6,1]=>[7,2,5,4,3,1,6]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[1,6,3,4,7,2,5]=>[5,2,7,4,3,6,1]=>[5,2,4,3,1,7,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,6,3,4,7,5,2]=>[2,5,7,4,3,6,1]=>[5,4,7,2,1,3,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,6,3,5,2,4,7]=>[7,4,2,5,3,6,1]=>[7,4,5,2,6,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,6,3,5,2,7,4]=>[4,7,2,5,3,6,1]=>[7,4,5,2,6,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,6,3,5,4,2,7]=>[7,2,4,5,3,6,1]=>[7,2,4,3,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,6,3,5,4,7,2]=>[2,7,4,5,3,6,1]=>[7,2,4,3,5,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,6,3,5,7,2,4]=>[4,2,7,5,3,6,1]=>[7,4,5,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,6,3,5,7,4,2]=>[2,4,7,5,3,6,1]=>[7,2,4,3,1,5,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,6,3,7,2,4,5]=>[5,4,2,7,3,6,1]=>[5,2,4,3,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[1,6,3,7,2,5,4]=>[4,5,2,7,3,6,1]=>[4,2,5,1,7,3,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,6,3,7,4,2,5]=>[5,2,4,7,3,6,1]=>[5,4,7,2,3,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,6,3,7,4,5,2]=>[2,5,4,7,3,6,1]=>[5,4,7,2,3,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,6,3,7,5,2,4]=>[4,2,5,7,3,6,1]=>[4,2,5,1,3,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,6,3,7,5,4,2]=>[2,4,5,7,3,6,1]=>[4,2,7,1,3,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,6,4,2,3,5,7]=>[7,5,3,2,4,6,1]=>[7,3,5,6,4,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[1,6,4,2,3,7,5]=>[5,7,3,2,4,6,1]=>[5,3,4,7,2,1,6]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,6,4,2,5,3,7]=>[7,3,5,2,4,6,1]=>[7,3,5,6,2,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[1,6,4,2,5,7,3]=>[3,7,5,2,4,6,1]=>[7,3,5,6,2,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,6,4,2,7,3,5]=>[5,3,7,2,4,6,1]=>[5,3,4,7,2,6,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[1,6,4,2,7,5,3]=>[3,5,7,2,4,6,1]=>[3,2,5,7,1,4,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,6,4,3,2,5,7]=>[7,5,2,3,4,6,1]=>[7,2,3,5,6,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[1,6,4,3,2,7,5]=>[5,7,2,3,4,6,1]=>[5,2,3,4,7,1,6]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,6,4,3,5,2,7]=>[7,2,5,3,4,6,1]=>[7,2,3,5,4,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[1,6,4,3,5,7,2]=>[2,7,5,3,4,6,1]=>[7,2,3,5,4,1,6]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[1,6,4,3,7,2,5]=>[5,2,7,3,4,6,1]=>[5,2,3,4,1,7,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,6,4,3,7,5,2]=>[2,5,7,3,4,6,1]=>[5,2,3,7,1,4,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,6,4,5,2,3,7]=>[7,3,2,5,4,6,1]=>[7,3,5,2,6,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,6,4,5,2,7,3]=>[3,7,2,5,4,6,1]=>[7,3,5,2,6,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,6,4,5,3,2,7]=>[7,2,3,5,4,6,1]=>[7,2,5,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,6,4,5,3,7,2]=>[2,7,3,5,4,6,1]=>[7,2,5,3,4,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,6,4,5,7,2,3]=>[3,2,7,5,4,6,1]=>[7,3,5,2,1,6,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,6,4,5,7,3,2]=>[2,3,7,5,4,6,1]=>[7,2,5,3,1,4,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,6,4,7,2,3,5]=>[5,3,2,7,4,6,1]=>[5,3,4,2,7,6,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,6,4,7,2,5,3]=>[3,5,2,7,4,6,1]=>[3,2,5,1,7,4,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,6,4,7,3,2,5]=>[5,2,3,7,4,6,1]=>[5,2,3,1,4,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,6,4,7,3,5,2]=>[2,5,3,7,4,6,1]=>[5,2,3,1,7,4,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,6,4,7,5,2,3]=>[3,2,5,7,4,6,1]=>[3,2,5,1,4,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,6,4,7,5,3,2]=>[2,3,5,7,4,6,1]=>[5,2,7,1,3,4,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,6,5,2,3,4,7]=>[7,4,3,2,5,6,1]=>[7,4,5,6,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[1,6,5,2,3,7,4]=>[4,7,3,2,5,6,1]=>[4,3,5,7,2,1,6]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,6,5,2,4,3,7]=>[7,3,4,2,5,6,1]=>[7,3,4,5,2,6,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[1,6,5,2,4,7,3]=>[3,7,4,2,5,6,1]=>[7,3,4,5,2,1,6]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,6,5,2,7,3,4]=>[4,3,7,2,5,6,1]=>[4,3,5,7,2,6,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[1,6,5,2,7,4,3]=>[3,4,7,2,5,6,1]=>[3,2,4,7,1,5,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,6,5,3,2,4,7]=>[7,4,2,3,5,6,1]=>[7,2,4,5,6,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[1,6,5,3,2,7,4]=>[4,7,2,3,5,6,1]=>[4,2,3,5,7,1,6]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,6,5,3,4,2,7]=>[7,2,4,3,5,6,1]=>[7,2,4,5,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,6,5,3,4,7,2]=>[2,7,4,3,5,6,1]=>[7,2,4,5,3,1,6]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[1,6,5,3,7,2,4]=>[4,2,7,3,5,6,1]=>[4,2,3,5,1,7,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,6,5,3,7,4,2]=>[2,4,7,3,5,6,1]=>[4,2,3,7,1,5,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,6,5,4,2,3,7]=>[7,3,2,4,5,6,1]=>[7,3,4,5,6,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[1,6,5,4,2,7,3]=>[3,7,2,4,5,6,1]=>[3,2,4,5,7,1,6]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,6,5,4,3,7,2]=>[2,7,3,4,5,6,1]=>[7,2,3,4,5,1,6]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,6,5,4,7,2,3]=>[3,2,7,4,5,6,1]=>[3,2,4,5,1,7,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,6,5,4,7,3,2]=>[2,3,7,4,5,6,1]=>[7,2,3,4,1,5,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,6,5,7,2,3,4]=>[4,3,2,7,5,6,1]=>[4,3,5,2,7,6,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,6,5,7,2,4,3]=>[3,4,2,7,5,6,1]=>[3,2,4,1,7,5,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,6,5,7,3,2,4]=>[4,2,3,7,5,6,1]=>[4,2,3,1,5,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,6,5,7,3,4,2]=>[2,4,3,7,5,6,1]=>[4,2,3,1,7,5,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,6,5,7,4,2,3]=>[3,2,4,7,5,6,1]=>[3,2,4,1,5,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,6,5,7,4,3,2]=>[2,3,4,7,5,6,1]=>[7,2,3,1,4,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1]=>[5,4,3,7,6,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[1,6,7,2,3,5,4]=>[4,5,3,2,7,6,1]=>[4,3,2,7,5,1,6]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,6,7,2,4,3,5]=>[5,3,4,2,7,6,1]=>[5,3,2,7,4,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,6,7,2,4,5,3]=>[3,5,4,2,7,6,1]=>[5,3,2,7,4,1,6]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,6,7,2,5,3,4]=>[4,3,5,2,7,6,1]=>[4,3,2,7,5,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,6,7,2,5,4,3]=>[3,4,5,2,7,6,1]=>[3,2,1,7,4,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,6,7,3,2,4,5]=>[5,4,2,3,7,6,1]=>[5,4,2,3,7,6,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[1,6,7,3,2,5,4]=>[4,5,2,3,7,6,1]=>[4,2,1,5,7,3,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,6,7,3,4,2,5]=>[5,2,4,3,7,6,1]=>[5,4,2,7,3,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,6,7,3,4,5,2]=>[2,5,4,3,7,6,1]=>[5,4,2,7,3,1,6]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,6,7,3,5,2,4]=>[4,2,5,3,7,6,1]=>[4,2,1,5,3,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,6,7,3,5,4,2]=>[2,4,5,3,7,6,1]=>[4,2,1,7,3,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,6,7,4,2,3,5]=>[5,3,2,4,7,6,1]=>[5,3,2,4,7,6,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[1,6,7,4,2,5,3]=>[3,5,2,4,7,6,1]=>[3,2,1,5,7,4,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,6,7,4,3,2,5]=>[5,2,3,4,7,6,1]=>[5,2,1,3,4,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,6,7,4,3,5,2]=>[2,5,3,4,7,6,1]=>[5,2,1,3,7,4,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1]=>[3,2,1,5,4,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,6,7,4,5,3,2]=>[2,3,5,4,7,6,1]=>[5,2,1,7,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,6,7,5,2,3,4]=>[4,3,2,5,7,6,1]=>[4,3,2,5,7,6,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[1,6,7,5,2,4,3]=>[3,4,2,5,7,6,1]=>[3,2,1,4,7,5,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,6,7,5,3,2,4]=>[4,2,3,5,7,6,1]=>[4,2,1,3,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,6,7,5,3,4,2]=>[2,4,3,5,7,6,1]=>[4,2,1,3,7,5,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,6,7,5,4,2,3]=>[3,2,4,5,7,6,1]=>[3,2,1,4,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,6,7,5,4,3,2]=>[2,3,4,5,7,6,1]=>[7,2,1,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>[6,5,7,4,3,2,1]=>[[[[[[.,.],[.,.]],.],.],.],.]
[1,7,2,3,4,6,5]=>[5,6,4,3,2,7,1]=>[5,4,6,3,2,1,7]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[1,7,2,3,5,4,6]=>[6,4,5,3,2,7,1]=>[6,4,5,3,2,7,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[1,7,2,3,5,6,4]=>[4,6,5,3,2,7,1]=>[6,4,5,3,2,1,7]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[1,7,2,3,6,4,5]=>[5,4,6,3,2,7,1]=>[5,4,6,3,2,7,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[1,7,2,3,6,5,4]=>[4,5,6,3,2,7,1]=>[4,3,5,2,1,6,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,7,2,4,3,5,6]=>[6,5,3,4,2,7,1]=>[6,3,5,4,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[1,7,2,4,3,6,5]=>[5,6,3,4,2,7,1]=>[5,3,6,2,7,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,7,2,4,5,3,6]=>[6,3,5,4,2,7,1]=>[6,3,5,4,2,7,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[1,7,2,4,5,6,3]=>[3,6,5,4,2,7,1]=>[6,3,5,4,2,1,7]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[1,7,2,4,6,3,5]=>[5,3,6,4,2,7,1]=>[5,3,6,2,1,7,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,7,2,4,6,5,3]=>[3,5,6,4,2,7,1]=>[5,3,4,2,1,6,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,7,2,5,3,4,6]=>[6,4,3,5,2,7,1]=>[6,4,5,3,7,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[1,7,2,5,3,6,4]=>[4,6,3,5,2,7,1]=>[4,3,6,2,7,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,7,2,5,4,3,6]=>[6,3,4,5,2,7,1]=>[6,3,4,2,5,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,7,2,5,4,6,3]=>[3,6,4,5,2,7,1]=>[6,3,4,2,5,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,7,2,5,6,3,4]=>[4,3,6,5,2,7,1]=>[4,3,6,2,1,7,5]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,7,2,5,6,4,3]=>[3,4,6,5,2,7,1]=>[6,3,4,2,1,5,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1]=>[5,4,6,3,7,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>[4,3,5,2,6,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,7,2,6,4,3,5]=>[5,3,4,6,2,7,1]=>[5,3,4,2,6,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,7,2,6,4,5,3]=>[3,5,4,6,2,7,1]=>[5,3,4,2,6,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,7,2,6,5,3,4]=>[4,3,5,6,2,7,1]=>[4,3,5,2,6,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,7,2,6,5,4,3]=>[3,4,5,6,2,7,1]=>[3,2,4,1,5,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,7,3,2,4,5,6]=>[6,5,4,2,3,7,1]=>[6,2,5,7,4,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[1,7,3,2,4,6,5]=>[5,6,4,2,3,7,1]=>[5,4,6,7,2,1,3]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,7,3,2,5,4,6]=>[6,4,5,2,3,7,1]=>[6,4,5,7,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[1,7,3,2,5,6,4]=>[4,6,5,2,3,7,1]=>[6,4,5,7,2,1,3]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,7,3,2,6,4,5]=>[5,4,6,2,3,7,1]=>[5,4,6,7,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[1,7,3,2,6,5,4]=>[4,5,6,2,3,7,1]=>[4,2,5,6,1,3,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,7,3,4,2,5,6]=>[6,5,2,4,3,7,1]=>[6,2,5,4,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[1,7,3,4,2,6,5]=>[5,6,2,4,3,7,1]=>[5,4,6,2,7,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,7,3,4,5,2,6]=>[6,2,5,4,3,7,1]=>[6,2,5,4,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[1,7,3,4,5,6,2]=>[2,6,5,4,3,7,1]=>[6,2,5,4,3,1,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[1,7,3,4,6,2,5]=>[5,2,6,4,3,7,1]=>[5,4,6,2,1,7,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,7,3,4,6,5,2]=>[2,5,6,4,3,7,1]=>[5,2,4,3,1,6,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,7,3,5,2,4,6]=>[6,4,2,5,3,7,1]=>[6,4,5,2,7,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,7,3,5,2,6,4]=>[4,6,2,5,3,7,1]=>[6,4,5,2,7,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,7,3,5,4,2,6]=>[6,2,4,5,3,7,1]=>[6,2,4,3,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,7,3,5,4,6,2]=>[2,6,4,5,3,7,1]=>[6,2,4,3,5,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,7,3,5,6,2,4]=>[4,2,6,5,3,7,1]=>[6,4,5,2,1,7,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,7,3,5,6,4,2]=>[2,4,6,5,3,7,1]=>[6,2,4,3,1,5,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,7,3,6,2,4,5]=>[5,4,2,6,3,7,1]=>[5,4,6,2,7,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,7,3,6,2,5,4]=>[4,5,2,6,3,7,1]=>[4,2,5,1,6,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,7,3,6,4,2,5]=>[5,2,4,6,3,7,1]=>[5,2,4,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,7,3,6,4,5,2]=>[2,5,4,6,3,7,1]=>[5,2,4,3,6,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,7,3,6,5,2,4]=>[4,2,5,6,3,7,1]=>[4,2,5,1,6,7,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[4,2,3,1,5,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,7,4,2,3,5,6]=>[6,5,3,2,4,7,1]=>[6,3,5,7,4,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[1,7,4,2,3,6,5]=>[5,6,3,2,4,7,1]=>[5,3,6,7,2,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,7,4,2,5,3,6]=>[6,3,5,2,4,7,1]=>[6,3,5,7,2,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[1,7,4,2,5,6,3]=>[3,6,5,2,4,7,1]=>[6,3,5,7,2,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,7,4,2,6,3,5]=>[5,3,6,2,4,7,1]=>[5,3,6,7,2,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[1,7,4,2,6,5,3]=>[3,5,6,2,4,7,1]=>[3,2,5,6,1,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,7,4,3,2,5,6]=>[6,5,2,3,4,7,1]=>[6,2,3,5,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[1,7,4,3,2,6,5]=>[5,6,2,3,4,7,1]=>[5,2,3,6,7,1,4]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,7,4,3,5,2,6]=>[6,2,5,3,4,7,1]=>[6,2,3,5,4,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[1,7,4,3,5,6,2]=>[2,6,5,3,4,7,1]=>[6,2,3,5,4,1,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[1,7,4,3,6,2,5]=>[5,2,6,3,4,7,1]=>[5,2,3,6,1,7,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,7,4,3,6,5,2]=>[2,5,6,3,4,7,1]=>[5,2,3,6,1,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,7,4,5,2,3,6]=>[6,3,2,5,4,7,1]=>[6,3,5,2,7,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,7,4,5,2,6,3]=>[3,6,2,5,4,7,1]=>[6,3,5,2,7,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,7,4,5,3,2,6]=>[6,2,3,5,4,7,1]=>[6,2,5,3,4,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,7,4,5,3,6,2]=>[2,6,3,5,4,7,1]=>[6,2,5,3,4,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,7,4,5,6,2,3]=>[3,2,6,5,4,7,1]=>[6,3,5,2,1,7,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,7,4,5,6,3,2]=>[2,3,6,5,4,7,1]=>[6,2,5,3,1,4,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,7,4,6,2,3,5]=>[5,3,2,6,4,7,1]=>[5,3,6,2,7,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,7,4,6,2,5,3]=>[3,5,2,6,4,7,1]=>[3,2,5,1,6,4,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,7,4,6,3,2,5]=>[5,2,3,6,4,7,1]=>[5,2,3,1,6,7,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,7,4,6,3,5,2]=>[2,5,3,6,4,7,1]=>[5,2,3,1,6,4,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,7,4,6,5,2,3]=>[3,2,5,6,4,7,1]=>[3,2,5,1,6,7,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,7,4,6,5,3,2]=>[2,3,5,6,4,7,1]=>[5,2,3,1,4,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,7,5,2,3,4,6]=>[6,4,3,2,5,7,1]=>[6,4,5,7,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[1,7,5,2,3,6,4]=>[4,6,3,2,5,7,1]=>[4,3,6,7,2,1,5]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,7,5,2,4,3,6]=>[6,3,4,2,5,7,1]=>[6,3,4,5,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[1,7,5,2,4,6,3]=>[3,6,4,2,5,7,1]=>[6,3,4,5,2,1,7]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,7,5,2,6,3,4]=>[4,3,6,2,5,7,1]=>[4,3,6,7,2,5,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[1,7,5,2,6,4,3]=>[3,4,6,2,5,7,1]=>[3,2,4,6,1,5,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,7,5,3,2,4,6]=>[6,4,2,3,5,7,1]=>[6,2,4,5,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[1,7,5,3,2,6,4]=>[4,6,2,3,5,7,1]=>[4,2,3,6,7,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,7,5,3,4,2,6]=>[6,2,4,3,5,7,1]=>[6,2,4,5,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,7,5,3,4,6,2]=>[2,6,4,3,5,7,1]=>[6,2,4,5,3,1,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[1,7,5,3,6,2,4]=>[4,2,6,3,5,7,1]=>[4,2,3,6,1,7,5]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,7,5,3,6,4,2]=>[2,4,6,3,5,7,1]=>[4,2,3,6,1,5,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,7,5,4,2,3,6]=>[6,3,2,4,5,7,1]=>[6,3,4,5,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[1,7,5,4,2,6,3]=>[3,6,2,4,5,7,1]=>[3,2,4,6,7,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,7,5,4,3,2,6]=>[6,2,3,4,5,7,1]=>[6,2,3,4,5,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,7,5,4,3,6,2]=>[2,6,3,4,5,7,1]=>[6,2,3,4,5,1,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,7,5,4,6,2,3]=>[3,2,6,4,5,7,1]=>[3,2,4,6,1,7,5]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,7,5,4,6,3,2]=>[2,3,6,4,5,7,1]=>[6,2,3,4,1,5,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,7,5,6,2,3,4]=>[4,3,2,6,5,7,1]=>[4,3,6,2,7,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,7,5,6,2,4,3]=>[3,4,2,6,5,7,1]=>[3,2,4,1,6,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,7,5,6,3,2,4]=>[4,2,3,6,5,7,1]=>[4,2,3,1,6,7,5]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,7,5,6,3,4,2]=>[2,4,3,6,5,7,1]=>[4,2,3,1,6,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,7,5,6,4,2,3]=>[3,2,4,6,5,7,1]=>[3,2,4,1,6,7,5]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,7,5,6,4,3,2]=>[2,3,4,6,5,7,1]=>[6,2,3,1,4,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1]=>[5,4,6,7,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[1,7,6,2,3,5,4]=>[4,5,3,2,6,7,1]=>[4,3,5,6,2,1,7]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,7,6,2,4,3,5]=>[5,3,4,2,6,7,1]=>[5,3,4,6,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[1,7,6,2,4,5,3]=>[3,5,4,2,6,7,1]=>[5,3,4,6,2,1,7]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,7,6,2,5,3,4]=>[4,3,5,2,6,7,1]=>[4,3,5,6,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[1,7,6,2,5,4,3]=>[3,4,5,2,6,7,1]=>[3,2,4,5,1,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,7,6,3,2,4,5]=>[5,4,2,3,6,7,1]=>[5,2,4,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[1,7,6,3,2,5,4]=>[4,5,2,3,6,7,1]=>[4,2,5,6,7,1,3]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,7,6,3,4,2,5]=>[5,2,4,3,6,7,1]=>[5,2,4,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,7,6,3,4,5,2]=>[2,5,4,3,6,7,1]=>[5,2,4,6,3,1,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[1,7,6,3,5,2,4]=>[4,2,5,3,6,7,1]=>[4,2,5,6,1,7,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,7,6,3,5,4,2]=>[2,4,5,3,6,7,1]=>[4,2,3,5,1,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,7,6,4,2,3,5]=>[5,3,2,4,6,7,1]=>[5,3,4,6,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[1,7,6,4,2,5,3]=>[3,5,2,4,6,7,1]=>[3,2,5,6,7,1,4]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,7,6,4,3,2,5]=>[5,2,3,4,6,7,1]=>[5,2,3,4,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,7,6,4,3,5,2]=>[2,5,3,4,6,7,1]=>[5,2,3,4,6,1,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,7,6,4,5,2,3]=>[3,2,5,4,6,7,1]=>[3,2,5,6,1,7,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[5,2,3,4,1,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,7,6,5,2,3,4]=>[4,3,2,5,6,7,1]=>[4,3,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[1,7,6,5,2,4,3]=>[3,4,2,5,6,7,1]=>[3,2,4,5,6,1,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,7,6,5,3,2,4]=>[4,2,3,5,6,7,1]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,7,6,5,3,4,2]=>[2,4,3,5,6,7,1]=>[4,2,3,5,6,1,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,7,6,5,4,2,3]=>[3,2,4,5,6,7,1]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[2,1,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,1,3,4,6,5,7]=>[7,5,6,4,3,1,2]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,1,3,4,6,7,5]=>[5,7,6,4,3,1,2]=>[5,7,6,4,3,1,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[2,1,3,4,7,5,6]=>[6,5,7,4,3,1,2]=>[6,7,5,4,1,3,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,1,3,4,7,6,5]=>[5,6,7,4,3,1,2]=>[5,6,4,3,1,2,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,1,3,5,4,6,7]=>[7,6,4,5,3,1,2]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,1,3,5,4,7,6]=>[6,7,4,5,3,1,2]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,1,3,5,6,4,7]=>[7,4,6,5,3,1,2]=>[4,7,6,5,1,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,1,3,5,6,7,4]=>[4,7,6,5,3,1,2]=>[4,7,6,5,3,1,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[2,1,3,5,7,4,6]=>[6,4,7,5,3,1,2]=>[6,7,4,3,1,5,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,1,3,5,7,6,4]=>[4,6,7,5,3,1,2]=>[4,6,5,3,1,2,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[2,1,3,6,4,5,7]=>[7,5,4,6,3,1,2]=>[5,7,6,1,4,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,1,3,6,4,7,5]=>[5,7,4,6,3,1,2]=>[5,7,4,3,6,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,1,3,6,5,4,7]=>[7,4,5,6,3,1,2]=>[4,7,5,1,3,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[2,1,3,6,5,7,4]=>[4,7,5,6,3,1,2]=>[4,7,5,1,3,2,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,1,3,6,7,4,5]=>[5,4,7,6,3,1,2]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,1,3,6,7,5,4]=>[4,5,7,6,3,1,2]=>[4,7,5,3,1,2,6]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[2,1,3,7,4,5,6]=>[6,5,4,7,3,1,2]=>[6,7,5,1,4,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,1,3,7,4,6,5]=>[5,6,4,7,3,1,2]=>[5,6,4,1,3,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,3,7,5,4,6]=>[6,4,5,7,3,1,2]=>[4,6,5,1,3,7,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[2,1,3,7,5,6,4]=>[4,6,5,7,3,1,2]=>[4,6,5,1,3,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,1,3,7,6,4,5]=>[5,4,6,7,3,1,2]=>[5,6,4,1,3,7,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[2,1,3,7,6,5,4]=>[4,5,6,7,3,1,2]=>[4,5,3,1,2,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,1,4,3,5,6,7]=>[7,6,5,3,4,1,2]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,1,4,3,5,7,6]=>[6,7,5,3,4,1,2]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,1,4,3,6,5,7]=>[7,5,6,3,4,1,2]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,4,3,6,7,5]=>[5,7,6,3,4,1,2]=>[5,7,3,6,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,1,4,3,7,5,6]=>[6,5,7,3,4,1,2]=>[6,7,3,5,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,4,3,7,6,5]=>[5,6,7,3,4,1,2]=>[5,6,3,4,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,1,4,5,3,6,7]=>[7,6,3,5,4,1,2]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,1,4,5,3,7,6]=>[6,7,3,5,4,1,2]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,1,4,5,6,3,7]=>[7,3,6,5,4,1,2]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,1,4,5,6,7,3]=>[3,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,1,4,5,7,3,6]=>[6,3,7,5,4,1,2]=>[6,7,5,3,1,4,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,1,4,5,7,6,3]=>[3,6,7,5,4,1,2]=>[3,6,5,4,1,2,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[2,1,4,6,3,5,7]=>[7,5,3,6,4,1,2]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,1,4,6,3,7,5]=>[5,7,3,6,4,1,2]=>[5,7,6,3,4,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[2,1,4,6,5,3,7]=>[7,3,5,6,4,1,2]=>[3,7,5,1,4,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[2,1,4,6,5,7,3]=>[3,7,5,6,4,1,2]=>[3,7,5,1,4,2,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,1,4,6,7,3,5]=>[5,3,7,6,4,1,2]=>[5,7,6,3,1,4,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,1,4,6,7,5,3]=>[3,5,7,6,4,1,2]=>[3,7,5,4,1,2,6]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[2,1,4,7,3,5,6]=>[6,5,3,7,4,1,2]=>[6,7,3,1,5,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,1,4,7,3,6,5]=>[5,6,3,7,4,1,2]=>[5,6,3,1,4,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,4,7,5,3,6]=>[6,3,5,7,4,1,2]=>[3,6,5,1,4,7,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[2,1,4,7,5,6,3]=>[3,6,5,7,4,1,2]=>[3,6,5,1,4,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,1,4,7,6,3,5]=>[5,3,6,7,4,1,2]=>[5,6,3,1,4,7,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[2,1,4,7,6,5,3]=>[3,5,6,7,4,1,2]=>[3,5,4,1,2,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[2,1,5,3,4,6,7]=>[7,6,4,3,5,1,2]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,1,5,3,4,7,6]=>[6,7,4,3,5,1,2]=>[6,7,4,5,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[2,1,5,3,6,4,7]=>[7,4,6,3,5,1,2]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,5,3,6,7,4]=>[4,7,6,3,5,1,2]=>[4,7,3,6,5,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,1,5,3,7,4,6]=>[6,4,7,3,5,1,2]=>[6,7,4,5,1,3,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,5,3,7,6,4]=>[4,6,7,3,5,1,2]=>[4,6,3,5,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,1,5,4,3,6,7]=>[7,6,3,4,5,1,2]=>[3,7,1,4,6,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,1,5,4,6,3,7]=>[7,3,6,4,5,1,2]=>[3,7,1,6,4,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[2,1,5,4,6,7,3]=>[3,7,6,4,5,1,2]=>[3,7,1,6,4,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,5,4,7,3,6]=>[6,3,7,4,5,1,2]=>[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,5,4,7,6,3]=>[3,6,7,4,5,1,2]=>[6,7,3,4,1,2,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,1,5,6,3,4,7]=>[7,4,3,6,5,1,2]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,1,5,6,3,7,4]=>[4,7,3,6,5,1,2]=>[4,7,6,3,5,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[2,1,5,6,4,3,7]=>[7,3,4,6,5,1,2]=>[3,7,6,1,4,5,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[2,1,5,6,4,7,3]=>[3,7,4,6,5,1,2]=>[3,7,6,1,4,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,1,5,6,7,3,4]=>[4,3,7,6,5,1,2]=>[4,7,6,3,1,5,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,1,5,6,7,4,3]=>[3,4,7,6,5,1,2]=>[3,7,6,4,1,2,5]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[2,1,5,7,3,4,6]=>[6,4,3,7,5,1,2]=>[6,7,4,1,5,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,1,5,7,3,6,4]=>[4,6,3,7,5,1,2]=>[4,6,3,1,5,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,5,7,4,3,6]=>[6,3,4,7,5,1,2]=>[6,7,3,1,4,5,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[2,1,5,7,4,6,3]=>[3,6,4,7,5,1,2]=>[6,7,3,1,4,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,5,7,6,3,4]=>[4,3,6,7,5,1,2]=>[4,6,3,1,5,7,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[2,1,5,7,6,4,3]=>[3,4,6,7,5,1,2]=>[3,6,4,1,2,5,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[2,1,6,3,4,5,7]=>[7,5,4,3,6,1,2]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,1,6,3,4,7,5]=>[5,7,4,3,6,1,2]=>[5,7,4,6,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[2,1,6,3,5,4,7]=>[7,4,5,3,6,1,2]=>[4,7,1,5,3,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[2,1,6,3,5,7,4]=>[4,7,5,3,6,1,2]=>[4,7,1,5,3,2,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,6,3,7,4,5]=>[5,4,7,3,6,1,2]=>[5,7,4,6,1,3,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,6,3,7,5,4]=>[4,5,7,3,6,1,2]=>[4,7,3,5,1,2,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,1,6,4,3,5,7]=>[7,5,3,4,6,1,2]=>[3,7,1,5,6,4,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[2,1,6,4,3,7,5]=>[5,7,3,4,6,1,2]=>[5,7,3,4,6,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,1,6,4,5,3,7]=>[7,3,5,4,6,1,2]=>[3,7,1,5,4,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[2,1,6,4,5,7,3]=>[3,7,5,4,6,1,2]=>[3,7,1,5,4,2,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,6,4,7,3,5]=>[5,3,7,4,6,1,2]=>[5,7,3,4,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,6,4,7,5,3]=>[3,5,7,4,6,1,2]=>[5,7,3,4,1,2,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,1,6,5,3,4,7]=>[7,4,3,5,6,1,2]=>[4,7,1,5,6,3,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[2,1,6,5,3,7,4]=>[4,7,3,5,6,1,2]=>[4,7,3,5,6,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,1,6,5,4,3,7]=>[7,3,4,5,6,1,2]=>[3,7,1,4,5,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[2,1,6,5,4,7,3]=>[3,7,4,5,6,1,2]=>[3,7,1,4,5,2,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,6,5,7,3,4]=>[4,3,7,5,6,1,2]=>[4,7,3,5,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,6,5,7,4,3]=>[3,4,7,5,6,1,2]=>[3,7,1,4,2,5,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,6,7,3,4,5]=>[5,4,3,7,6,1,2]=>[5,7,4,1,6,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,1,6,7,3,5,4]=>[4,5,3,7,6,1,2]=>[4,7,3,1,5,2,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,6,7,4,3,5]=>[5,3,4,7,6,1,2]=>[5,7,3,1,4,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[2,1,6,7,4,5,3]=>[3,5,4,7,6,1,2]=>[5,7,3,1,4,2,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,6,7,5,3,4]=>[4,3,5,7,6,1,2]=>[4,7,3,1,5,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[2,1,6,7,5,4,3]=>[3,4,5,7,6,1,2]=>[3,7,4,1,2,5,6]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[2,1,7,3,4,5,6]=>[6,5,4,3,7,1,2]=>[6,7,1,5,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,1,7,3,4,6,5]=>[5,6,4,3,7,1,2]=>[5,6,1,4,3,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,7,3,5,4,6]=>[6,4,5,3,7,1,2]=>[4,6,1,5,3,7,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[2,1,7,3,5,6,4]=>[4,6,5,3,7,1,2]=>[4,6,1,5,3,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,7,3,6,4,5]=>[5,4,6,3,7,1,2]=>[5,6,1,4,3,7,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[2,1,7,3,6,5,4]=>[4,5,6,3,7,1,2]=>[4,5,1,3,2,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,7,4,3,5,6]=>[6,5,3,4,7,1,2]=>[3,6,1,5,7,4,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[2,1,7,4,3,6,5]=>[5,6,3,4,7,1,2]=>[5,6,3,4,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,1,7,4,5,3,6]=>[6,3,5,4,7,1,2]=>[3,6,1,5,4,7,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[2,1,7,4,5,6,3]=>[3,6,5,4,7,1,2]=>[3,6,1,5,4,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,7,4,6,3,5]=>[5,3,6,4,7,1,2]=>[5,6,3,4,1,7,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,7,4,6,5,3]=>[3,5,6,4,7,1,2]=>[3,5,1,4,2,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,7,5,3,4,6]=>[6,4,3,5,7,1,2]=>[4,6,1,5,7,3,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[2,1,7,5,3,6,4]=>[4,6,3,5,7,1,2]=>[4,6,3,5,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,1,7,5,4,3,6]=>[6,3,4,5,7,1,2]=>[3,6,1,4,5,7,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[2,1,7,5,4,6,3]=>[3,6,4,5,7,1,2]=>[3,6,1,4,5,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,7,5,6,3,4]=>[4,3,6,5,7,1,2]=>[4,6,3,5,1,7,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,7,5,6,4,3]=>[3,4,6,5,7,1,2]=>[3,6,1,4,2,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,7,6,3,4,5]=>[5,4,3,6,7,1,2]=>[5,6,1,4,7,3,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[2,1,7,6,3,5,4]=>[4,5,3,6,7,1,2]=>[4,5,1,3,6,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,7,6,4,3,5]=>[5,3,4,6,7,1,2]=>[3,5,1,4,6,7,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[2,1,7,6,4,5,3]=>[3,5,4,6,7,1,2]=>[3,5,1,4,6,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,7,6,5,3,4]=>[4,3,5,6,7,1,2]=>[4,5,1,3,6,7,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[3,4,1,2,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,3,1,4,5,6,7]=>[7,6,5,4,1,3,2]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,4,5,7,6]=>[6,7,5,4,1,3,2]=>[6,5,7,4,3,1,2]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[2,3,1,4,6,5,7]=>[7,5,6,4,1,3,2]=>[7,5,6,4,1,3,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,3,1,4,6,7,5]=>[5,7,6,4,1,3,2]=>[7,5,6,4,3,1,2]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[2,3,1,4,7,5,6]=>[6,5,7,4,1,3,2]=>[6,5,7,4,1,3,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,3,1,4,7,6,5]=>[5,6,7,4,1,3,2]=>[5,4,6,3,1,2,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,3,1,5,4,6,7]=>[7,6,4,5,1,3,2]=>[7,4,6,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,3,1,5,4,7,6]=>[6,7,4,5,1,3,2]=>[6,4,7,3,5,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,3,1,5,6,4,7]=>[7,4,6,5,1,3,2]=>[7,4,6,5,1,3,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,3,1,5,6,7,4]=>[4,7,6,5,1,3,2]=>[7,4,6,5,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[2,3,1,5,7,4,6]=>[6,4,7,5,1,3,2]=>[6,4,7,3,1,5,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,3,1,5,7,6,4]=>[4,6,7,5,1,3,2]=>[6,4,5,3,1,2,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,3,1,6,4,5,7]=>[7,5,4,6,1,3,2]=>[7,5,6,1,4,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,3,1,6,4,7,5]=>[5,7,4,6,1,3,2]=>[5,4,7,3,6,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,3,1,6,5,4,7]=>[7,4,5,6,1,3,2]=>[7,4,5,1,3,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,3,1,6,5,7,4]=>[4,7,5,6,1,3,2]=>[7,4,5,1,3,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,3,1,6,7,4,5]=>[5,4,7,6,1,3,2]=>[5,4,7,3,1,6,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,3,1,6,7,5,4]=>[4,5,7,6,1,3,2]=>[7,4,5,3,1,2,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,3,1,7,4,5,6]=>[6,5,4,7,1,3,2]=>[6,5,7,1,4,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,3,1,7,4,6,5]=>[5,6,4,7,1,3,2]=>[5,4,6,1,3,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,3,1,7,5,4,6]=>[6,4,5,7,1,3,2]=>[6,4,5,1,3,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,3,1,7,5,6,4]=>[4,6,5,7,1,3,2]=>[6,4,5,1,3,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,3,1,7,6,4,5]=>[5,4,6,7,1,3,2]=>[5,4,6,1,3,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,3,1,7,6,5,4]=>[4,5,6,7,1,3,2]=>[4,3,5,1,2,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[2,3,4,1,5,6,7]=>[7,6,5,1,4,3,2]=>[7,6,1,5,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,3,4,1,5,7,6]=>[6,7,5,1,4,3,2]=>[6,5,4,7,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[2,3,4,1,6,5,7]=>[7,5,6,1,4,3,2]=>[7,5,4,6,1,3,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,3,4,1,6,7,5]=>[5,7,6,1,4,3,2]=>[7,5,4,6,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[2,3,4,1,7,5,6]=>[6,5,7,1,4,3,2]=>[6,5,4,7,1,3,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,3,4,1,7,6,5]=>[5,6,7,1,4,3,2]=>[5,4,3,6,1,2,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,3,4,5,1,6,7]=>[7,6,1,5,4,3,2]=>[7,6,5,1,4,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,3,4,5,1,7,6]=>[6,7,1,5,4,3,2]=>[6,5,4,3,7,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[2,3,4,5,6,1,7]=>[7,1,6,5,4,3,2]=>[7,6,5,4,1,3,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>[[[[[[.,.],.],.],.],.],[.,.]]
[2,3,4,5,7,1,6]=>[6,1,7,5,4,3,2]=>[6,5,4,3,1,7,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2]=>[6,5,4,3,1,2,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[2,3,4,6,1,5,7]=>[7,5,1,6,4,3,2]=>[7,5,4,1,6,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,3,4,6,1,7,5]=>[5,7,1,6,4,3,2]=>[7,5,4,3,6,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[2,3,4,6,5,1,7]=>[7,1,5,6,4,3,2]=>[7,5,4,1,3,6,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[2,3,4,6,5,7,1]=>[1,7,5,6,4,3,2]=>[7,5,4,1,3,2,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,3,4,6,7,1,5]=>[5,1,7,6,4,3,2]=>[7,5,4,3,1,6,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[2,3,4,6,7,5,1]=>[1,5,7,6,4,3,2]=>[7,5,4,3,1,2,6]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[2,3,4,7,1,5,6]=>[6,5,1,7,4,3,2]=>[6,5,4,1,7,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,3,4,7,1,6,5]=>[5,6,1,7,4,3,2]=>[5,4,3,1,6,2,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,3,4,7,5,1,6]=>[6,1,5,7,4,3,2]=>[6,5,4,1,3,7,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[2,3,4,7,5,6,1]=>[1,6,5,7,4,3,2]=>[6,5,4,1,3,2,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,3,4,7,6,1,5]=>[5,1,6,7,4,3,2]=>[5,4,3,1,6,7,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2]=>[5,4,3,1,2,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[2,3,5,1,4,6,7]=>[7,6,4,1,5,3,2]=>[7,4,1,6,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,3,5,1,4,7,6]=>[6,7,4,1,5,3,2]=>[6,4,3,7,5,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,3,5,1,6,4,7]=>[7,4,6,1,5,3,2]=>[7,6,4,5,1,3,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,3,5,1,6,7,4]=>[4,7,6,1,5,3,2]=>[7,6,4,5,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[2,3,5,1,7,4,6]=>[6,4,7,1,5,3,2]=>[6,4,3,7,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,3,5,1,7,6,4]=>[4,6,7,1,5,3,2]=>[6,4,3,5,1,2,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,3,5,4,1,6,7]=>[7,6,1,4,5,3,2]=>[7,6,1,4,5,3,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[2,3,5,4,1,7,6]=>[6,7,1,4,5,3,2]=>[6,4,1,3,7,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,3,5,4,6,1,7]=>[7,1,6,4,5,3,2]=>[7,6,1,4,3,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2]=>[7,6,1,4,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,3,5,4,7,1,6]=>[6,1,7,4,5,3,2]=>[6,4,1,3,2,7,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,3,5,4,7,6,1]=>[1,6,7,4,5,3,2]=>[6,4,3,7,1,2,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,3,5,6,1,4,7]=>[7,4,1,6,5,3,2]=>[7,6,4,1,5,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,3,5,6,1,7,4]=>[4,7,1,6,5,3,2]=>[7,6,4,3,5,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[2,3,5,6,4,1,7]=>[7,1,4,6,5,3,2]=>[7,6,4,1,3,5,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[2,3,5,6,4,7,1]=>[1,7,4,6,5,3,2]=>[7,6,4,1,3,2,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,3,5,6,7,1,4]=>[4,1,7,6,5,3,2]=>[7,6,4,3,1,5,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[2,3,5,6,7,4,1]=>[1,4,7,6,5,3,2]=>[7,6,4,3,1,2,5]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[2,3,5,7,1,4,6]=>[6,4,1,7,5,3,2]=>[6,4,3,1,7,5,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,3,5,7,1,6,4]=>[4,6,1,7,5,3,2]=>[6,4,3,1,5,2,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,3,5,7,4,1,6]=>[6,1,4,7,5,3,2]=>[6,4,3,1,2,7,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[2,3,5,7,4,6,1]=>[1,6,4,7,5,3,2]=>[6,4,3,1,7,2,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,3,5,7,6,1,4]=>[4,1,6,7,5,3,2]=>[6,4,3,1,5,7,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[2,3,5,7,6,4,1]=>[1,4,6,7,5,3,2]=>[6,4,3,1,2,5,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[2,3,6,1,4,5,7]=>[7,5,4,1,6,3,2]=>[7,5,1,6,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,3,6,1,4,7,5]=>[5,7,4,1,6,3,2]=>[5,4,3,7,6,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,3,6,1,5,4,7]=>[7,4,5,1,6,3,2]=>[7,4,1,5,3,6,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,3,6,1,5,7,4]=>[4,7,5,1,6,3,2]=>[7,4,1,5,3,2,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,3,6,1,7,4,5]=>[5,4,7,1,6,3,2]=>[5,4,3,7,1,6,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,3,6,1,7,5,4]=>[4,5,7,1,6,3,2]=>[7,4,3,5,1,2,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,3,6,4,1,5,7]=>[7,5,1,4,6,3,2]=>[7,5,1,4,6,3,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[2,3,6,4,1,7,5]=>[5,7,1,4,6,3,2]=>[5,4,1,3,7,2,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,3,6,4,5,1,7]=>[7,1,5,4,6,3,2]=>[7,5,1,4,3,6,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,3,6,4,5,7,1]=>[1,7,5,4,6,3,2]=>[7,5,1,4,3,2,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,3,6,4,7,1,5]=>[5,1,7,4,6,3,2]=>[5,4,1,3,2,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,3,6,4,7,5,1]=>[1,5,7,4,6,3,2]=>[5,4,3,7,1,2,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,3,6,5,1,4,7]=>[7,4,1,5,6,3,2]=>[7,4,1,5,6,3,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[2,3,6,5,1,7,4]=>[4,7,1,5,6,3,2]=>[7,4,3,5,6,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[2,3,6,5,4,1,7]=>[7,1,4,5,6,3,2]=>[7,4,1,3,5,6,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[2,3,6,5,4,7,1]=>[1,7,4,5,6,3,2]=>[7,4,1,3,5,2,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,3,6,5,7,1,4]=>[4,1,7,5,6,3,2]=>[7,4,3,5,1,6,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,3,6,5,7,4,1]=>[1,4,7,5,6,3,2]=>[7,4,1,3,2,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,3,6,7,1,4,5]=>[5,4,1,7,6,3,2]=>[5,4,3,1,7,6,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,3,6,7,1,5,4]=>[4,5,1,7,6,3,2]=>[7,4,3,1,5,2,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,3,6,7,4,1,5]=>[5,1,4,7,6,3,2]=>[5,4,3,1,2,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[2,3,6,7,4,5,1]=>[1,5,4,7,6,3,2]=>[5,4,3,1,7,2,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,3,6,7,5,1,4]=>[4,1,5,7,6,3,2]=>[7,4,3,1,5,6,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[2,3,6,7,5,4,1]=>[1,4,5,7,6,3,2]=>[7,4,3,1,2,5,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[2,3,7,1,4,5,6]=>[6,5,4,1,7,3,2]=>[6,5,1,7,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,3,7,1,4,6,5]=>[5,6,4,1,7,3,2]=>[5,4,1,6,3,2,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,3,7,1,5,4,6]=>[6,4,5,1,7,3,2]=>[6,4,1,5,3,7,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,3,7,1,5,6,4]=>[4,6,5,1,7,3,2]=>[6,4,1,5,3,2,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,3,7,1,6,4,5]=>[5,4,6,1,7,3,2]=>[5,4,1,6,3,7,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,3,7,1,6,5,4]=>[4,5,6,1,7,3,2]=>[4,3,1,5,2,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,3,7,4,1,5,6]=>[6,5,1,4,7,3,2]=>[6,5,1,4,7,3,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[2,3,7,4,1,6,5]=>[5,6,1,4,7,3,2]=>[5,4,3,6,7,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[2,3,7,4,5,1,6]=>[6,1,5,4,7,3,2]=>[6,5,1,4,3,7,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,3,7,4,5,6,1]=>[1,6,5,4,7,3,2]=>[6,5,1,4,3,2,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,3,7,4,6,1,5]=>[5,1,6,4,7,3,2]=>[5,4,3,6,1,7,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,3,7,4,6,5,1]=>[1,5,6,4,7,3,2]=>[5,4,1,3,2,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,3,7,5,1,4,6]=>[6,4,1,5,7,3,2]=>[6,4,1,5,7,3,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[2,3,7,5,1,6,4]=>[4,6,1,5,7,3,2]=>[6,4,3,5,7,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[2,3,7,5,4,1,6]=>[6,1,4,5,7,3,2]=>[6,4,1,3,5,7,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[2,3,7,5,4,6,1]=>[1,6,4,5,7,3,2]=>[6,4,1,3,5,2,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,3,7,5,6,1,4]=>[4,1,6,5,7,3,2]=>[6,4,3,5,1,7,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2]=>[6,4,1,3,2,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,3,7,6,1,4,5]=>[5,4,1,6,7,3,2]=>[5,4,1,6,7,3,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[2,3,7,6,1,5,4]=>[4,5,1,6,7,3,2]=>[4,3,1,5,6,2,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,3,7,6,4,1,5]=>[5,1,4,6,7,3,2]=>[5,4,1,3,6,7,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[2,3,7,6,4,5,1]=>[1,5,4,6,7,3,2]=>[5,4,1,3,6,2,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,3,7,6,5,1,4]=>[4,1,5,6,7,3,2]=>[4,3,1,5,6,7,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2]=>[4,3,1,2,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[2,4,1,3,5,6,7]=>[7,6,5,3,1,4,2]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,3,5,7,6]=>[6,7,5,3,1,4,2]=>[6,3,7,5,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,4,1,3,6,5,7]=>[7,5,6,3,1,4,2]=>[5,3,7,6,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,4,1,3,6,7,5]=>[5,7,6,3,1,4,2]=>[5,3,7,6,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,4,1,3,7,5,6]=>[6,5,7,3,1,4,2]=>[6,3,7,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,4,1,3,7,6,5]=>[5,6,7,3,1,4,2]=>[5,3,6,4,1,2,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,4,1,5,3,6,7]=>[7,6,3,5,1,4,2]=>[7,3,6,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,4,1,5,3,7,6]=>[6,7,3,5,1,4,2]=>[6,5,7,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,4,1,5,6,3,7]=>[7,3,6,5,1,4,2]=>[7,3,6,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,4,1,5,6,7,3]=>[3,7,6,5,1,4,2]=>[7,3,6,5,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,4,1,5,7,3,6]=>[6,3,7,5,1,4,2]=>[6,5,7,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,4,1,5,7,6,3]=>[3,6,7,5,1,4,2]=>[6,3,5,4,1,2,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,4,1,6,3,5,7]=>[7,5,3,6,1,4,2]=>[5,3,7,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,4,1,6,3,7,5]=>[5,7,3,6,1,4,2]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,4,1,6,5,3,7]=>[7,3,5,6,1,4,2]=>[7,3,5,1,4,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,4,1,6,5,7,3]=>[3,7,5,6,1,4,2]=>[7,3,5,1,4,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,4,1,6,7,3,5]=>[5,3,7,6,1,4,2]=>[7,5,6,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,4,1,6,7,5,3]=>[3,5,7,6,1,4,2]=>[7,3,5,4,1,2,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,4,1,7,3,5,6]=>[6,5,3,7,1,4,2]=>[6,3,7,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,4,1,7,3,6,5]=>[5,6,3,7,1,4,2]=>[5,3,6,1,4,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,4,1,7,5,3,6]=>[6,3,5,7,1,4,2]=>[6,3,5,1,4,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,4,1,7,5,6,3]=>[3,6,5,7,1,4,2]=>[6,3,5,1,4,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,4,1,7,6,3,5]=>[5,3,6,7,1,4,2]=>[5,3,6,1,4,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,4,1,7,6,5,3]=>[3,5,6,7,1,4,2]=>[5,3,4,1,2,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[2,4,3,1,5,6,7]=>[7,6,5,1,3,4,2]=>[7,1,3,6,5,4,2]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[2,4,3,1,5,7,6]=>[6,7,5,1,3,4,2]=>[6,1,5,7,3,2,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,4,3,1,6,5,7]=>[7,5,6,1,3,4,2]=>[7,1,5,6,3,4,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[2,4,3,1,6,7,5]=>[5,7,6,1,3,4,2]=>[7,1,5,6,3,2,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,4,3,1,7,5,6]=>[6,5,7,1,3,4,2]=>[6,1,5,7,3,4,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[2,4,3,1,7,6,5]=>[5,6,7,1,3,4,2]=>[5,3,6,7,1,2,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,4,3,5,1,6,7]=>[7,6,1,5,3,4,2]=>[7,1,6,3,5,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[2,4,3,5,1,7,6]=>[6,7,1,5,3,4,2]=>[6,1,5,3,7,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,4,3,5,6,1,7]=>[7,1,6,5,3,4,2]=>[7,1,6,5,3,4,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[2,4,3,5,6,7,1]=>[1,7,6,5,3,4,2]=>[7,1,6,5,3,2,4]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,4,3,5,7,1,6]=>[6,1,7,5,3,4,2]=>[6,1,5,3,2,7,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[2,4,3,5,7,6,1]=>[1,6,7,5,3,4,2]=>[6,5,7,3,1,2,4]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,4,3,6,1,5,7]=>[7,5,1,6,3,4,2]=>[7,1,5,3,6,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[2,4,3,6,1,7,5]=>[5,7,1,6,3,4,2]=>[7,1,5,3,6,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,4,3,6,5,1,7]=>[7,1,5,6,3,4,2]=>[7,5,6,1,3,4,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,4,3,6,5,7,1]=>[1,7,5,6,3,4,2]=>[7,5,6,1,3,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,4,3,6,7,1,5]=>[5,1,7,6,3,4,2]=>[7,1,5,3,2,6,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[2,4,3,6,7,5,1]=>[1,5,7,6,3,4,2]=>[7,5,6,3,1,2,4]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,4,3,7,1,5,6]=>[6,5,1,7,3,4,2]=>[6,1,5,3,7,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[2,4,3,7,1,6,5]=>[5,6,1,7,3,4,2]=>[5,3,6,1,7,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,4,3,7,5,1,6]=>[6,1,5,7,3,4,2]=>[6,5,7,1,3,4,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,4,3,7,5,6,1]=>[1,6,5,7,3,4,2]=>[6,5,7,1,3,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,4,3,7,6,1,5]=>[5,1,6,7,3,4,2]=>[5,3,6,1,2,7,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2]=>[5,3,6,1,2,4,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[2,4,5,1,3,6,7]=>[7,6,3,1,5,4,2]=>[7,3,1,6,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,4,5,1,3,7,6]=>[6,7,3,1,5,4,2]=>[6,5,3,7,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,4,5,1,6,3,7]=>[7,3,6,1,5,4,2]=>[7,6,3,5,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,4,5,1,6,7,3]=>[3,7,6,1,5,4,2]=>[7,6,3,5,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,4,5,1,7,3,6]=>[6,3,7,1,5,4,2]=>[6,5,3,7,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,4,5,1,7,6,3]=>[3,6,7,1,5,4,2]=>[6,5,3,4,1,2,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,4,5,3,1,6,7]=>[7,6,1,3,5,4,2]=>[7,6,1,3,5,4,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[2,4,5,3,1,7,6]=>[6,7,1,3,5,4,2]=>[6,5,1,3,7,2,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,4,5,3,6,1,7]=>[7,1,6,3,5,4,2]=>[7,6,1,5,3,4,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,4,5,3,6,7,1]=>[1,7,6,3,5,4,2]=>[7,6,1,5,3,2,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,4,5,3,7,1,6]=>[6,1,7,3,5,4,2]=>[6,5,1,3,2,7,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,4,5,3,7,6,1]=>[1,6,7,3,5,4,2]=>[6,5,3,7,1,2,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,4,5,6,1,3,7]=>[7,3,1,6,5,4,2]=>[7,6,3,1,5,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,4,5,6,1,7,3]=>[3,7,1,6,5,4,2]=>[7,6,5,3,4,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[2,4,5,6,3,1,7]=>[7,1,3,6,5,4,2]=>[7,6,5,1,3,4,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[2,4,5,6,3,7,1]=>[1,7,3,6,5,4,2]=>[7,6,5,1,3,2,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,4,5,6,7,1,3]=>[3,1,7,6,5,4,2]=>[7,6,5,3,1,4,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[2,4,5,6,7,3,1]=>[1,3,7,6,5,4,2]=>[7,6,5,3,1,2,4]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[2,4,5,7,1,3,6]=>[6,3,1,7,5,4,2]=>[6,5,3,1,7,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,4,5,7,1,6,3]=>[3,6,1,7,5,4,2]=>[6,5,3,1,4,2,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,4,5,7,3,1,6]=>[6,1,3,7,5,4,2]=>[6,5,3,1,2,7,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[2,4,5,7,3,6,1]=>[1,6,3,7,5,4,2]=>[6,5,3,1,7,2,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,4,5,7,6,1,3]=>[3,1,6,7,5,4,2]=>[6,5,3,1,4,7,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[2,4,5,7,6,3,1]=>[1,3,6,7,5,4,2]=>[6,5,3,1,2,4,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[2,4,6,1,3,5,7]=>[7,5,3,1,6,4,2]=>[5,3,1,7,6,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,4,6,1,3,7,5]=>[5,7,3,1,6,4,2]=>[7,5,3,6,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,4,6,1,5,3,7]=>[7,3,5,1,6,4,2]=>[7,3,1,5,4,6,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,4,6,1,5,7,3]=>[3,7,5,1,6,4,2]=>[7,3,1,5,4,2,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,4,6,1,7,3,5]=>[5,3,7,1,6,4,2]=>[7,5,3,6,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,4,6,1,7,5,3]=>[3,5,7,1,6,4,2]=>[7,5,3,4,1,2,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,4,6,3,1,5,7]=>[7,5,1,3,6,4,2]=>[7,5,1,3,6,4,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[2,4,6,3,1,7,5]=>[5,7,1,3,6,4,2]=>[7,5,1,3,6,2,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,4,6,3,5,1,7]=>[7,1,5,3,6,4,2]=>[7,5,1,6,3,4,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,4,6,3,5,7,1]=>[1,7,5,3,6,4,2]=>[7,5,1,6,3,2,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,4,6,3,7,1,5]=>[5,1,7,3,6,4,2]=>[7,5,1,3,2,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,4,6,3,7,5,1]=>[1,5,7,3,6,4,2]=>[7,5,3,6,1,2,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,4,6,5,1,3,7]=>[7,3,1,5,6,4,2]=>[7,3,1,5,6,4,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[2,4,6,5,1,7,3]=>[3,7,1,5,6,4,2]=>[7,5,3,4,6,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[2,4,6,5,3,1,7]=>[7,1,3,5,6,4,2]=>[7,5,1,3,4,6,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[2,4,6,5,3,7,1]=>[1,7,3,5,6,4,2]=>[7,5,1,3,4,2,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,4,6,5,7,1,3]=>[3,1,7,5,6,4,2]=>[7,5,3,4,1,6,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,4,6,5,7,3,1]=>[1,3,7,5,6,4,2]=>[7,5,1,3,2,4,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,4,6,7,1,3,5]=>[5,3,1,7,6,4,2]=>[7,5,3,1,6,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,4,6,7,1,5,3]=>[3,5,1,7,6,4,2]=>[7,5,3,1,4,2,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,4,6,7,3,1,5]=>[5,1,3,7,6,4,2]=>[7,5,3,1,2,6,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[2,4,6,7,3,5,1]=>[1,5,3,7,6,4,2]=>[7,5,3,1,6,2,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,4,6,7,5,1,3]=>[3,1,5,7,6,4,2]=>[7,5,3,1,4,6,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[2,4,6,7,5,3,1]=>[1,3,5,7,6,4,2]=>[7,5,3,1,2,4,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[2,4,7,1,3,5,6]=>[6,5,3,1,7,4,2]=>[6,3,1,7,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,4,7,1,3,6,5]=>[5,6,3,1,7,4,2]=>[5,3,1,6,4,2,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,4,7,1,5,3,6]=>[6,3,5,1,7,4,2]=>[6,3,1,5,4,7,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,4,7,1,5,6,3]=>[3,6,5,1,7,4,2]=>[6,3,1,5,4,2,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,4,7,1,6,3,5]=>[5,3,6,1,7,4,2]=>[5,3,1,6,4,7,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,4,7,1,6,5,3]=>[3,5,6,1,7,4,2]=>[5,3,1,4,2,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,4,7,3,1,5,6]=>[6,5,1,3,7,4,2]=>[6,5,1,3,7,4,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[2,4,7,3,1,6,5]=>[5,6,1,3,7,4,2]=>[5,3,1,6,7,2,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,4,7,3,5,1,6]=>[6,1,5,3,7,4,2]=>[6,5,1,7,3,4,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,4,7,3,5,6,1]=>[1,6,5,3,7,4,2]=>[6,5,1,7,3,2,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,4,7,3,6,1,5]=>[5,1,6,3,7,4,2]=>[5,3,1,6,2,7,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,4,7,3,6,5,1]=>[1,5,6,3,7,4,2]=>[5,3,1,6,2,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,4,7,5,1,3,6]=>[6,3,1,5,7,4,2]=>[6,3,1,5,7,4,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[2,4,7,5,1,6,3]=>[3,6,1,5,7,4,2]=>[6,5,3,4,7,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[2,4,7,5,3,1,6]=>[6,1,3,5,7,4,2]=>[6,5,1,3,4,7,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[2,4,7,5,3,6,1]=>[1,6,3,5,7,4,2]=>[6,5,1,3,4,2,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,4,7,5,6,1,3]=>[3,1,6,5,7,4,2]=>[6,5,3,4,1,7,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,4,7,5,6,3,1]=>[1,3,6,5,7,4,2]=>[6,5,1,3,2,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,4,7,6,1,3,5]=>[5,3,1,6,7,4,2]=>[5,3,1,6,7,4,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[2,4,7,6,1,5,3]=>[3,5,1,6,7,4,2]=>[5,3,1,4,6,2,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,4,7,6,3,1,5]=>[5,1,3,6,7,4,2]=>[5,3,1,2,6,7,4]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[2,4,7,6,3,5,1]=>[1,5,3,6,7,4,2]=>[5,3,1,2,6,4,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[2,4,7,6,5,1,3]=>[3,1,5,6,7,4,2]=>[5,3,1,4,6,7,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[2,4,7,6,5,3,1]=>[1,3,5,6,7,4,2]=>[5,3,1,2,4,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[2,5,1,3,4,6,7]=>[7,6,4,3,1,5,2]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,3,4,7,6]=>[6,7,4,3,1,5,2]=>[6,4,7,5,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[2,5,1,3,6,4,7]=>[7,4,6,3,1,5,2]=>[4,3,7,6,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,5,1,3,6,7,4]=>[4,7,6,3,1,5,2]=>[4,3,7,6,5,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,5,1,3,7,4,6]=>[6,4,7,3,1,5,2]=>[6,4,7,5,1,3,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,5,1,3,7,6,4]=>[4,6,7,3,1,5,2]=>[4,3,6,5,1,2,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,5,1,4,3,6,7]=>[7,6,3,4,1,5,2]=>[3,1,7,4,6,5,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[2,5,1,4,3,7,6]=>[6,7,3,4,1,5,2]=>[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,5,1,4,6,3,7]=>[7,3,6,4,1,5,2]=>[3,1,7,6,4,5,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[2,5,1,4,6,7,3]=>[3,7,6,4,1,5,2]=>[3,1,7,6,4,2,5]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[6,3,7,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,5,1,4,7,6,3]=>[3,6,7,4,1,5,2]=>[6,3,7,4,1,2,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,5,1,6,3,4,7]=>[7,4,3,6,1,5,2]=>[4,3,7,1,6,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,5,1,6,3,7,4]=>[4,7,3,6,1,5,2]=>[7,4,6,3,5,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,5,1,6,4,3,7]=>[7,3,4,6,1,5,2]=>[7,3,6,1,4,5,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,5,1,6,4,7,3]=>[3,7,4,6,1,5,2]=>[7,3,6,1,4,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,5,1,6,7,3,4]=>[4,3,7,6,1,5,2]=>[7,4,6,3,1,5,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,5,1,6,7,4,3]=>[3,4,7,6,1,5,2]=>[7,3,6,4,1,2,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,5,1,7,3,4,6]=>[6,4,3,7,1,5,2]=>[6,4,7,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,5,1,7,3,6,4]=>[4,6,3,7,1,5,2]=>[4,3,6,1,5,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,5,1,7,4,3,6]=>[6,3,4,7,1,5,2]=>[6,3,7,1,4,5,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,5,1,7,4,6,3]=>[3,6,4,7,1,5,2]=>[6,3,7,1,4,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,5,1,7,6,3,4]=>[4,3,6,7,1,5,2]=>[4,3,6,1,5,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,5,1,7,6,4,3]=>[3,4,6,7,1,5,2]=>[6,3,4,1,2,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[2,5,3,1,4,6,7]=>[7,6,4,1,3,5,2]=>[7,1,4,6,5,3,2]=>[[.,.],[[[.,[[.,.],.]],.],.]]
[2,5,3,1,4,7,6]=>[6,7,4,1,3,5,2]=>[6,1,4,7,3,2,5]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,5,3,1,6,4,7]=>[7,4,6,1,3,5,2]=>[7,1,4,6,3,5,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[2,5,3,1,6,7,4]=>[4,7,6,1,3,5,2]=>[7,1,4,6,3,2,5]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,5,3,1,7,4,6]=>[6,4,7,1,3,5,2]=>[6,1,4,7,3,5,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[2,5,3,1,7,6,4]=>[4,6,7,1,3,5,2]=>[4,3,6,7,1,2,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,5,3,4,1,6,7]=>[7,6,1,4,3,5,2]=>[7,1,6,4,5,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[2,5,3,4,1,7,6]=>[6,7,1,4,3,5,2]=>[6,1,4,3,7,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,5,3,4,6,1,7]=>[7,1,6,4,3,5,2]=>[7,1,6,4,3,5,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[2,5,3,4,6,7,1]=>[1,7,6,4,3,5,2]=>[7,1,6,4,3,2,5]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,5,3,4,7,1,6]=>[6,1,7,4,3,5,2]=>[6,1,4,3,2,7,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[2,5,3,4,7,6,1]=>[1,6,7,4,3,5,2]=>[6,4,7,3,1,2,5]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,5,3,6,1,4,7]=>[7,4,1,6,3,5,2]=>[7,1,4,3,6,5,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[2,5,3,6,1,7,4]=>[4,7,1,6,3,5,2]=>[7,1,4,3,6,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,5,3,6,4,1,7]=>[7,1,4,6,3,5,2]=>[7,4,6,1,3,5,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,5,3,6,4,7,1]=>[1,7,4,6,3,5,2]=>[7,4,6,1,3,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,5,3,6,7,1,4]=>[4,1,7,6,3,5,2]=>[7,1,4,3,2,6,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[2,5,3,6,7,4,1]=>[1,4,7,6,3,5,2]=>[7,4,6,3,1,2,5]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,5,3,7,1,4,6]=>[6,4,1,7,3,5,2]=>[6,1,4,3,7,5,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[2,5,3,7,1,6,4]=>[4,6,1,7,3,5,2]=>[4,3,6,1,7,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,5,3,7,4,1,6]=>[6,1,4,7,3,5,2]=>[6,4,7,1,3,5,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,5,3,7,4,6,1]=>[1,6,4,7,3,5,2]=>[6,4,7,1,3,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,5,3,7,6,1,4]=>[4,1,6,7,3,5,2]=>[4,3,6,1,2,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,5,3,7,6,4,1]=>[1,4,6,7,3,5,2]=>[4,3,6,1,2,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[2,5,4,1,3,6,7]=>[7,6,3,1,4,5,2]=>[3,1,4,7,6,5,2]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[2,5,4,1,3,7,6]=>[6,7,3,1,4,5,2]=>[6,3,4,7,5,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[2,5,4,1,6,3,7]=>[7,3,6,1,4,5,2]=>[7,3,4,6,1,5,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,5,4,1,6,7,3]=>[3,7,6,1,4,5,2]=>[7,3,4,6,5,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[2,5,4,1,7,3,6]=>[6,3,7,1,4,5,2]=>[6,3,4,7,1,5,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,5,4,1,7,6,3]=>[3,6,7,1,4,5,2]=>[6,3,4,7,1,2,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,5,4,3,1,6,7]=>[7,6,1,3,4,5,2]=>[7,1,3,4,6,5,2]=>[[.,.],[[.,[.,[[.,.],.]]],.]]
[2,5,4,3,1,7,6]=>[6,7,1,3,4,5,2]=>[6,1,3,4,7,2,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,5,4,3,6,1,7]=>[7,1,6,3,4,5,2]=>[7,1,3,6,4,5,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2]=>[7,1,3,6,4,2,5]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,5,4,3,7,1,6]=>[6,1,7,3,4,5,2]=>[6,1,3,4,2,7,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,5,4,3,7,6,1]=>[1,6,7,3,4,5,2]=>[6,1,3,7,2,4,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,5,4,6,1,3,7]=>[7,3,1,6,4,5,2]=>[7,3,4,1,6,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,5,4,6,1,7,3]=>[3,7,1,6,4,5,2]=>[7,3,6,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,5,4,6,3,1,7]=>[7,1,3,6,4,5,2]=>[7,1,6,3,4,5,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[2,5,4,6,3,7,1]=>[1,7,3,6,4,5,2]=>[7,1,6,3,4,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,5,4,6,7,1,3]=>[3,1,7,6,4,5,2]=>[7,3,6,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,5,4,6,7,3,1]=>[1,3,7,6,4,5,2]=>[7,1,6,3,2,4,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,5,4,7,1,3,6]=>[6,3,1,7,4,5,2]=>[6,3,4,1,7,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,5,4,7,1,6,3]=>[3,6,1,7,4,5,2]=>[6,3,4,1,7,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,5,4,7,3,1,6]=>[6,1,3,7,4,5,2]=>[6,1,3,2,4,7,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,5,4,7,3,6,1]=>[1,6,3,7,4,5,2]=>[6,1,3,2,7,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,5,4,7,6,1,3]=>[3,1,6,7,4,5,2]=>[6,3,4,1,2,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,5,4,7,6,3,1]=>[1,3,6,7,4,5,2]=>[6,3,7,1,2,4,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[2,5,6,1,3,4,7]=>[7,4,3,1,6,5,2]=>[4,3,1,7,6,5,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,5,6,1,3,7,4]=>[4,7,3,1,6,5,2]=>[7,4,3,6,5,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,5,6,1,4,3,7]=>[7,3,4,1,6,5,2]=>[7,3,1,6,4,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,5,6,1,4,7,3]=>[3,7,4,1,6,5,2]=>[7,3,1,6,4,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,5,6,1,7,3,4]=>[4,3,7,1,6,5,2]=>[7,4,3,6,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,5,6,1,7,4,3]=>[3,4,7,1,6,5,2]=>[7,6,3,4,1,2,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,5,6,3,1,4,7]=>[7,4,1,3,6,5,2]=>[7,4,1,3,6,5,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[2,5,6,3,1,7,4]=>[4,7,1,3,6,5,2]=>[7,4,1,3,6,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,5,6,3,4,1,7]=>[7,1,4,3,6,5,2]=>[7,4,1,6,3,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,5,6,3,4,7,1]=>[1,7,4,3,6,5,2]=>[7,4,1,6,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,5,6,3,7,1,4]=>[4,1,7,3,6,5,2]=>[7,4,1,3,2,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,5,6,3,7,4,1]=>[1,4,7,3,6,5,2]=>[7,4,3,6,1,2,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,5,6,4,1,3,7]=>[7,3,1,4,6,5,2]=>[7,3,1,4,6,5,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[2,5,6,4,1,7,3]=>[3,7,1,4,6,5,2]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[2,5,6,4,3,1,7]=>[7,1,3,4,6,5,2]=>[7,6,1,3,4,5,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[2,5,6,4,3,7,1]=>[1,7,3,4,6,5,2]=>[7,6,1,3,4,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,5,6,4,7,1,3]=>[3,1,7,4,6,5,2]=>[7,6,3,4,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,5,6,4,7,3,1]=>[1,3,7,4,6,5,2]=>[7,6,1,3,2,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,5,6,7,1,3,4]=>[4,3,1,7,6,5,2]=>[7,4,3,1,6,5,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[2,5,6,7,1,4,3]=>[3,4,1,7,6,5,2]=>[7,6,3,1,4,2,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,5,6,7,3,1,4]=>[4,1,3,7,6,5,2]=>[7,4,3,1,2,6,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[2,5,6,7,3,4,1]=>[1,4,3,7,6,5,2]=>[7,4,3,1,6,2,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,5,6,7,4,1,3]=>[3,1,4,7,6,5,2]=>[7,6,3,1,4,5,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[2,5,6,7,4,3,1]=>[1,3,4,7,6,5,2]=>[7,6,3,1,2,4,5]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[2,5,7,1,3,4,6]=>[6,4,3,1,7,5,2]=>[6,4,1,7,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,5,7,1,3,6,4]=>[4,6,3,1,7,5,2]=>[4,3,1,6,5,2,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,5,7,1,4,3,6]=>[6,3,4,1,7,5,2]=>[6,3,1,7,4,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,5,7,1,4,6,3]=>[3,6,4,1,7,5,2]=>[6,3,1,7,4,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,5,7,1,6,3,4]=>[4,3,6,1,7,5,2]=>[4,3,1,6,5,7,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,5,7,1,6,4,3]=>[3,4,6,1,7,5,2]=>[6,3,1,4,2,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,5,7,3,1,4,6]=>[6,4,1,3,7,5,2]=>[6,4,1,3,7,5,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[2,5,7,3,1,6,4]=>[4,6,1,3,7,5,2]=>[4,3,1,6,7,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,5,7,3,4,1,6]=>[6,1,4,3,7,5,2]=>[6,4,1,7,3,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,5,7,3,4,6,1]=>[1,6,4,3,7,5,2]=>[6,4,1,7,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,5,7,3,6,1,4]=>[4,1,6,3,7,5,2]=>[4,3,1,6,2,7,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2]=>[4,3,1,6,2,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,5,7,4,1,3,6]=>[6,3,1,4,7,5,2]=>[6,3,1,4,7,5,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[2,5,7,4,1,6,3]=>[3,6,1,4,7,5,2]=>[6,3,1,4,7,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,5,7,4,3,1,6]=>[6,1,3,4,7,5,2]=>[6,3,1,2,4,7,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[2,5,7,4,3,6,1]=>[1,6,3,4,7,5,2]=>[6,3,1,2,7,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[2,5,7,4,6,1,3]=>[3,1,6,4,7,5,2]=>[6,3,1,4,2,7,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,5,7,4,6,3,1]=>[1,3,6,4,7,5,2]=>[6,3,1,7,2,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,5,7,6,1,3,4]=>[4,3,1,6,7,5,2]=>[4,3,1,6,7,5,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[2,5,7,6,1,4,3]=>[3,4,1,6,7,5,2]=>[6,3,1,4,5,2,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,5,7,6,3,1,4]=>[4,1,3,6,7,5,2]=>[4,3,1,2,6,7,5]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[2,5,7,6,3,4,1]=>[1,4,3,6,7,5,2]=>[4,3,1,2,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[2,5,7,6,4,1,3]=>[3,1,4,6,7,5,2]=>[6,3,1,4,5,7,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[2,5,7,6,4,3,1]=>[1,3,4,6,7,5,2]=>[6,3,1,2,4,5,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[2,6,1,3,4,5,7]=>[7,5,4,3,1,6,2]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,3,4,7,5]=>[5,7,4,3,1,6,2]=>[5,4,7,6,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[2,6,1,3,5,4,7]=>[7,4,5,3,1,6,2]=>[4,1,7,5,3,6,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[2,6,1,3,5,7,4]=>[4,7,5,3,1,6,2]=>[4,1,7,5,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,6,1,3,7,4,5]=>[5,4,7,3,1,6,2]=>[5,4,7,6,1,3,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,6,1,3,7,5,4]=>[4,5,7,3,1,6,2]=>[4,3,7,5,1,2,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,6,1,4,3,5,7]=>[7,5,3,4,1,6,2]=>[3,1,7,5,6,4,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[2,6,1,4,3,7,5]=>[5,7,3,4,1,6,2]=>[5,3,7,4,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,6,1,4,5,3,7]=>[7,3,5,4,1,6,2]=>[3,1,7,5,4,6,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[2,6,1,4,5,7,3]=>[3,7,5,4,1,6,2]=>[3,1,7,5,4,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,6,1,4,7,3,5]=>[5,3,7,4,1,6,2]=>[5,3,7,4,1,6,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,6,1,4,7,5,3]=>[3,5,7,4,1,6,2]=>[5,3,7,4,1,2,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,6,1,5,3,4,7]=>[7,4,3,5,1,6,2]=>[4,1,7,5,6,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[2,6,1,5,3,7,4]=>[4,7,3,5,1,6,2]=>[4,3,7,5,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,6,1,5,4,3,7]=>[7,3,4,5,1,6,2]=>[3,1,7,4,5,6,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[2,6,1,5,4,7,3]=>[3,7,4,5,1,6,2]=>[3,1,7,4,5,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,6,1,5,7,3,4]=>[4,3,7,5,1,6,2]=>[4,3,7,5,1,6,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,6,1,5,7,4,3]=>[3,4,7,5,1,6,2]=>[3,1,7,4,2,5,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,6,1,7,3,4,5]=>[5,4,3,7,1,6,2]=>[5,4,7,1,6,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,6,1,7,3,5,4]=>[4,5,3,7,1,6,2]=>[4,3,7,1,5,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,1,7,4,3,5]=>[5,3,4,7,1,6,2]=>[5,3,7,1,4,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,6,1,7,4,5,3]=>[3,5,4,7,1,6,2]=>[5,3,7,1,4,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,1,7,5,3,4]=>[4,3,5,7,1,6,2]=>[4,3,7,1,5,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,6,1,7,5,4,3]=>[3,4,5,7,1,6,2]=>[7,3,4,1,2,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[2,6,3,1,4,5,7]=>[7,5,4,1,3,6,2]=>[7,1,5,6,4,3,2]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[2,6,3,1,4,7,5]=>[5,7,4,1,3,6,2]=>[5,1,4,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,6,3,1,5,4,7]=>[7,4,5,1,3,6,2]=>[7,4,5,6,1,3,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,6,3,1,5,7,4]=>[4,7,5,1,3,6,2]=>[7,4,5,6,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[2,6,3,1,7,4,5]=>[5,4,7,1,3,6,2]=>[5,1,4,7,3,6,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[2,6,3,1,7,5,4]=>[4,5,7,1,3,6,2]=>[4,3,5,7,1,2,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,6,3,4,1,5,7]=>[7,5,1,4,3,6,2]=>[7,1,5,4,6,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[2,6,3,4,1,7,5]=>[5,7,1,4,3,6,2]=>[5,1,4,3,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,6,3,4,5,1,7]=>[7,1,5,4,3,6,2]=>[7,1,5,4,3,6,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[2,6,3,4,5,7,1]=>[1,7,5,4,3,6,2]=>[7,1,5,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,6,3,4,7,1,5]=>[5,1,7,4,3,6,2]=>[5,1,4,3,2,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[2,6,3,4,7,5,1]=>[1,5,7,4,3,6,2]=>[5,4,7,3,1,2,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,6,3,5,1,4,7]=>[7,4,1,5,3,6,2]=>[7,4,5,1,6,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,6,3,5,1,7,4]=>[4,7,1,5,3,6,2]=>[7,4,5,3,6,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,6,3,5,4,1,7]=>[7,1,4,5,3,6,2]=>[7,1,4,3,5,6,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[2,6,3,5,4,7,1]=>[1,7,4,5,3,6,2]=>[7,1,4,3,5,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,6,3,5,7,1,4]=>[4,1,7,5,3,6,2]=>[7,4,5,3,1,6,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,6,3,5,7,4,1]=>[1,4,7,5,3,6,2]=>[7,1,4,3,2,5,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,6,3,7,1,4,5]=>[5,4,1,7,3,6,2]=>[5,1,4,3,7,6,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[2,6,3,7,1,5,4]=>[4,5,1,7,3,6,2]=>[4,3,5,1,7,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,3,7,4,1,5]=>[5,1,4,7,3,6,2]=>[5,4,7,1,3,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,6,3,7,4,5,1]=>[1,5,4,7,3,6,2]=>[5,4,7,1,3,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,3,7,5,1,4]=>[4,1,5,7,3,6,2]=>[4,3,5,1,2,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,6,3,7,5,4,1]=>[1,4,5,7,3,6,2]=>[4,3,7,1,2,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[2,6,4,1,3,5,7]=>[7,5,3,1,4,6,2]=>[3,1,5,7,6,4,2]=>[[.,.],[[[.,[[.,.],.]],.],.]]
[2,6,4,1,3,7,5]=>[5,7,3,1,4,6,2]=>[5,3,4,7,6,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[2,6,4,1,5,3,7]=>[7,3,5,1,4,6,2]=>[7,3,5,6,1,4,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,6,4,1,5,7,3]=>[3,7,5,1,4,6,2]=>[7,3,5,6,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[2,6,4,1,7,3,5]=>[5,3,7,1,4,6,2]=>[5,3,4,7,1,6,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,6,4,1,7,5,3]=>[3,5,7,1,4,6,2]=>[5,3,4,7,1,2,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,6,4,3,1,5,7]=>[7,5,1,3,4,6,2]=>[7,1,3,5,6,4,2]=>[[.,.],[[.,[[.,[.,.]],.]],.]]
[2,6,4,3,1,7,5]=>[5,7,1,3,4,6,2]=>[5,1,3,4,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,6,4,3,5,1,7]=>[7,1,5,3,4,6,2]=>[7,1,3,5,4,6,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[2,6,4,3,5,7,1]=>[1,7,5,3,4,6,2]=>[7,1,3,5,4,2,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,6,4,3,7,1,5]=>[5,1,7,3,4,6,2]=>[5,1,3,4,2,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,6,4,3,7,5,1]=>[1,5,7,3,4,6,2]=>[5,1,3,7,2,4,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,6,4,5,1,3,7]=>[7,3,1,5,4,6,2]=>[7,3,5,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,6,4,5,1,7,3]=>[3,7,1,5,4,6,2]=>[7,3,5,4,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,6,4,5,3,1,7]=>[7,1,3,5,4,6,2]=>[7,1,5,3,4,6,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2]=>[7,1,5,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,6,4,5,7,1,3]=>[3,1,7,5,4,6,2]=>[7,3,5,4,1,6,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,6,4,5,7,3,1]=>[1,3,7,5,4,6,2]=>[7,1,5,3,2,4,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,6,4,7,1,3,5]=>[5,3,1,7,4,6,2]=>[5,3,4,1,7,6,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,6,4,7,1,5,3]=>[3,5,1,7,4,6,2]=>[5,3,4,1,7,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,4,7,3,1,5]=>[5,1,3,7,4,6,2]=>[5,1,3,2,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2]=>[5,1,3,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,6,4,7,5,1,3]=>[3,1,5,7,4,6,2]=>[5,3,4,1,2,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,6,4,7,5,3,1]=>[1,3,5,7,4,6,2]=>[5,3,7,1,2,4,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[2,6,5,1,3,4,7]=>[7,4,3,1,5,6,2]=>[4,1,5,7,6,3,2]=>[[.,.],[[[.,[[.,.],.]],.],.]]
[2,6,5,1,3,7,4]=>[4,7,3,1,5,6,2]=>[4,3,5,7,6,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[2,6,5,1,4,3,7]=>[7,3,4,1,5,6,2]=>[3,1,4,7,5,6,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[2,6,5,1,4,7,3]=>[3,7,4,1,5,6,2]=>[3,1,4,7,5,2,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,6,5,1,7,3,4]=>[4,3,7,1,5,6,2]=>[4,3,5,7,1,6,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,6,5,1,7,4,3]=>[3,4,7,1,5,6,2]=>[7,3,4,5,1,2,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,6,5,3,1,4,7]=>[7,4,1,3,5,6,2]=>[7,1,4,5,6,3,2]=>[[.,.],[[[.,[.,[.,.]]],.],.]]
[2,6,5,3,1,7,4]=>[4,7,1,3,5,6,2]=>[4,1,3,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,6,5,3,4,1,7]=>[7,1,4,3,5,6,2]=>[7,1,4,5,3,6,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[2,6,5,3,4,7,1]=>[1,7,4,3,5,6,2]=>[7,1,4,5,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,6,5,3,7,1,4]=>[4,1,7,3,5,6,2]=>[4,1,3,5,2,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,6,5,3,7,4,1]=>[1,4,7,3,5,6,2]=>[4,1,3,7,2,5,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,6,5,4,1,3,7]=>[7,3,1,4,5,6,2]=>[3,1,4,5,7,6,2]=>[[.,.],[[.,[.,[[.,.],.]]],.]]
[2,6,5,4,1,7,3]=>[3,7,1,4,5,6,2]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[2,6,5,4,3,1,7]=>[7,1,3,4,5,6,2]=>[7,1,3,4,5,6,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,6,5,4,7,1,3]=>[3,1,7,4,5,6,2]=>[7,3,4,5,1,6,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,6,5,4,7,3,1]=>[1,3,7,4,5,6,2]=>[7,1,3,4,2,5,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,6,5,7,1,3,4]=>[4,3,1,7,5,6,2]=>[4,3,5,1,7,6,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,6,5,7,1,4,3]=>[3,4,1,7,5,6,2]=>[7,3,4,1,5,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,5,7,3,1,4]=>[4,1,3,7,5,6,2]=>[4,1,3,2,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,6,5,7,3,4,1]=>[1,4,3,7,5,6,2]=>[4,1,3,2,7,5,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,6,5,7,4,1,3]=>[3,1,4,7,5,6,2]=>[7,3,4,1,5,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,6,5,7,4,3,1]=>[1,3,4,7,5,6,2]=>[7,1,3,2,4,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,6,7,1,3,4,5]=>[5,4,3,1,7,6,2]=>[5,4,1,7,6,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[2,6,7,1,3,5,4]=>[4,5,3,1,7,6,2]=>[4,3,1,7,5,2,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,6,7,1,4,3,5]=>[5,3,4,1,7,6,2]=>[5,3,1,7,4,6,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,6,7,1,4,5,3]=>[3,5,4,1,7,6,2]=>[5,3,1,7,4,2,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,6,7,1,5,3,4]=>[4,3,5,1,7,6,2]=>[4,3,1,7,5,6,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,6,7,1,5,4,3]=>[3,4,5,1,7,6,2]=>[7,3,1,4,2,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,6,7,3,1,4,5]=>[5,4,1,3,7,6,2]=>[5,4,1,3,7,6,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[2,6,7,3,1,5,4]=>[4,5,1,3,7,6,2]=>[4,3,1,5,7,2,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,6,7,3,4,1,5]=>[5,1,4,3,7,6,2]=>[5,4,1,7,3,6,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[2,6,7,3,4,5,1]=>[1,5,4,3,7,6,2]=>[5,4,1,7,3,2,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,6,7,3,5,1,4]=>[4,1,5,3,7,6,2]=>[4,3,1,5,2,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,6,7,3,5,4,1]=>[1,4,5,3,7,6,2]=>[4,3,1,7,2,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,6,7,4,1,3,5]=>[5,3,1,4,7,6,2]=>[5,3,1,4,7,6,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[2,6,7,4,1,5,3]=>[3,5,1,4,7,6,2]=>[5,3,1,4,7,2,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,6,7,4,3,1,5]=>[5,1,3,4,7,6,2]=>[5,3,1,2,4,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[2,6,7,4,3,5,1]=>[1,5,3,4,7,6,2]=>[5,3,1,2,7,4,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[2,6,7,4,5,1,3]=>[3,1,5,4,7,6,2]=>[5,3,1,4,2,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,6,7,4,5,3,1]=>[1,3,5,4,7,6,2]=>[5,3,1,7,2,4,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,6,7,5,1,3,4]=>[4,3,1,5,7,6,2]=>[4,3,1,5,7,6,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[2,6,7,5,1,4,3]=>[3,4,1,5,7,6,2]=>[7,3,1,4,5,2,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,6,7,5,3,1,4]=>[4,1,3,5,7,6,2]=>[4,3,1,2,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2]=>[4,3,1,2,7,5,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[2,6,7,5,4,1,3]=>[3,1,4,5,7,6,2]=>[7,3,1,4,5,6,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[2,6,7,5,4,3,1]=>[1,3,4,5,7,6,2]=>[7,3,1,2,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[2,7,1,3,4,5,6]=>[6,5,4,3,1,7,2]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,3,4,6,5]=>[5,6,4,3,1,7,2]=>[5,1,6,4,3,2,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,7,1,3,5,4,6]=>[6,4,5,3,1,7,2]=>[4,1,6,5,3,7,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[2,7,1,3,5,6,4]=>[4,6,5,3,1,7,2]=>[4,1,6,5,3,2,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,7,1,3,6,4,5]=>[5,4,6,3,1,7,2]=>[5,1,6,4,3,7,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[2,7,1,3,6,5,4]=>[4,5,6,3,1,7,2]=>[4,1,5,3,2,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,7,1,4,3,5,6]=>[6,5,3,4,1,7,2]=>[3,1,6,5,7,4,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[2,7,1,4,3,6,5]=>[5,6,3,4,1,7,2]=>[5,3,6,4,7,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,7,1,4,5,3,6]=>[6,3,5,4,1,7,2]=>[3,1,6,5,4,7,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[2,7,1,4,5,6,3]=>[3,6,5,4,1,7,2]=>[3,1,6,5,4,2,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,7,1,4,6,3,5]=>[5,3,6,4,1,7,2]=>[5,3,6,4,1,7,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,7,1,4,6,5,3]=>[3,5,6,4,1,7,2]=>[3,1,5,4,2,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,7,1,5,3,4,6]=>[6,4,3,5,1,7,2]=>[4,1,6,5,7,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[2,7,1,5,3,6,4]=>[4,6,3,5,1,7,2]=>[4,3,6,5,7,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,7,1,5,4,3,6]=>[6,3,4,5,1,7,2]=>[3,1,6,4,5,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[2,7,1,5,4,6,3]=>[3,6,4,5,1,7,2]=>[3,1,6,4,5,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,7,1,5,6,3,4]=>[4,3,6,5,1,7,2]=>[4,3,6,5,1,7,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,7,1,5,6,4,3]=>[3,4,6,5,1,7,2]=>[3,1,6,4,2,5,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,7,1,6,3,4,5]=>[5,4,3,6,1,7,2]=>[5,1,6,4,7,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[2,7,1,6,3,5,4]=>[4,5,3,6,1,7,2]=>[4,1,5,3,6,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,7,1,6,4,3,5]=>[5,3,4,6,1,7,2]=>[3,1,5,4,6,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[2,7,1,6,4,5,3]=>[3,5,4,6,1,7,2]=>[3,1,5,4,6,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,7,1,6,5,3,4]=>[4,3,5,6,1,7,2]=>[4,1,5,3,6,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[2,7,1,6,5,4,3]=>[3,4,5,6,1,7,2]=>[3,1,4,2,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,3,1,4,5,6]=>[6,5,4,1,3,7,2]=>[6,1,5,7,4,3,2]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[2,7,3,1,4,6,5]=>[5,6,4,1,3,7,2]=>[5,4,6,7,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[2,7,3,1,5,4,6]=>[6,4,5,1,3,7,2]=>[6,4,5,7,1,3,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,7,3,1,5,6,4]=>[4,6,5,1,3,7,2]=>[6,4,5,7,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[2,7,3,1,6,4,5]=>[5,4,6,1,3,7,2]=>[5,4,6,7,1,3,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,7,3,1,6,5,4]=>[4,5,6,1,3,7,2]=>[4,3,5,6,1,2,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,7,3,4,1,5,6]=>[6,5,1,4,3,7,2]=>[6,1,5,4,7,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[2,7,3,4,1,6,5]=>[5,6,1,4,3,7,2]=>[5,4,6,3,7,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,7,3,4,5,1,6]=>[6,1,5,4,3,7,2]=>[6,1,5,4,3,7,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[2,7,3,4,5,6,1]=>[1,6,5,4,3,7,2]=>[6,1,5,4,3,2,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,7,3,4,6,1,5]=>[5,1,6,4,3,7,2]=>[5,4,6,3,1,7,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,7,3,4,6,5,1]=>[1,5,6,4,3,7,2]=>[5,1,4,3,2,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,7,3,5,1,4,6]=>[6,4,1,5,3,7,2]=>[6,4,5,1,7,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,7,3,5,1,6,4]=>[4,6,1,5,3,7,2]=>[6,4,5,3,7,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,7,3,5,4,1,6]=>[6,1,4,5,3,7,2]=>[6,1,4,3,5,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[2,7,3,5,4,6,1]=>[1,6,4,5,3,7,2]=>[6,1,4,3,5,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,7,3,5,6,1,4]=>[4,1,6,5,3,7,2]=>[6,4,5,3,1,7,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,7,3,5,6,4,1]=>[1,4,6,5,3,7,2]=>[6,1,4,3,2,5,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,7,3,6,1,4,5]=>[5,4,1,6,3,7,2]=>[5,4,6,1,7,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,7,3,6,1,5,4]=>[4,5,1,6,3,7,2]=>[4,3,5,1,6,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,7,3,6,4,1,5]=>[5,1,4,6,3,7,2]=>[5,1,4,3,6,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[2,7,3,6,4,5,1]=>[1,5,4,6,3,7,2]=>[5,1,4,3,6,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,7,3,6,5,1,4]=>[4,1,5,6,3,7,2]=>[4,3,5,1,6,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,7,3,6,5,4,1]=>[1,4,5,6,3,7,2]=>[4,1,3,2,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,4,1,3,5,6]=>[6,5,3,1,4,7,2]=>[3,1,6,7,5,4,2]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[2,7,4,1,3,6,5]=>[5,6,3,1,4,7,2]=>[5,3,6,7,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[2,7,4,1,5,3,6]=>[6,3,5,1,4,7,2]=>[6,3,5,7,1,4,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,7,4,1,5,6,3]=>[3,6,5,1,4,7,2]=>[6,3,5,7,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[2,7,4,1,6,3,5]=>[5,3,6,1,4,7,2]=>[5,3,6,7,1,4,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,7,4,1,6,5,3]=>[3,5,6,1,4,7,2]=>[5,3,4,6,1,2,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,7,4,3,1,5,6]=>[6,5,1,3,4,7,2]=>[6,1,3,5,7,4,2]=>[[.,.],[[.,[[.,[.,.]],.]],.]]
[2,7,4,3,1,6,5]=>[5,6,1,3,4,7,2]=>[5,1,3,6,7,2,4]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,7,4,3,5,1,6]=>[6,1,5,3,4,7,2]=>[6,1,3,5,4,7,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[2,7,4,3,5,6,1]=>[1,6,5,3,4,7,2]=>[6,1,3,5,4,2,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,7,4,3,6,1,5]=>[5,1,6,3,4,7,2]=>[5,1,3,6,2,7,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,7,4,3,6,5,1]=>[1,5,6,3,4,7,2]=>[5,1,3,6,2,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,7,4,5,1,3,6]=>[6,3,1,5,4,7,2]=>[6,3,5,1,7,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,7,4,5,1,6,3]=>[3,6,1,5,4,7,2]=>[6,3,5,4,7,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,7,4,5,3,1,6]=>[6,1,3,5,4,7,2]=>[6,1,5,3,4,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[2,7,4,5,3,6,1]=>[1,6,3,5,4,7,2]=>[6,1,5,3,4,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,7,4,5,6,1,3]=>[3,1,6,5,4,7,2]=>[6,3,5,4,1,7,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2]=>[6,1,5,3,2,4,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,7,4,6,1,3,5]=>[5,3,1,6,4,7,2]=>[5,3,6,1,7,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,7,4,6,1,5,3]=>[3,5,1,6,4,7,2]=>[5,3,4,1,6,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,7,4,6,3,1,5]=>[5,1,3,6,4,7,2]=>[5,1,3,2,6,7,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[2,7,4,6,3,5,1]=>[1,5,3,6,4,7,2]=>[5,1,3,2,6,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,7,4,6,5,1,3]=>[3,1,5,6,4,7,2]=>[5,3,4,1,6,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2]=>[5,1,3,2,4,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,5,1,3,4,6]=>[6,4,3,1,5,7,2]=>[4,1,6,7,5,3,2]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[2,7,5,1,3,6,4]=>[4,6,3,1,5,7,2]=>[4,3,6,7,5,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[2,7,5,1,4,3,6]=>[6,3,4,1,5,7,2]=>[3,1,4,6,5,7,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[2,7,5,1,4,6,3]=>[3,6,4,1,5,7,2]=>[3,1,4,6,5,2,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,7,5,1,6,3,4]=>[4,3,6,1,5,7,2]=>[4,3,6,7,1,5,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,7,5,1,6,4,3]=>[3,4,6,1,5,7,2]=>[6,3,4,5,1,2,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,7,5,3,1,4,6]=>[6,4,1,3,5,7,2]=>[6,1,4,5,7,3,2]=>[[.,.],[[[.,[.,[.,.]]],.],.]]
[2,7,5,3,1,6,4]=>[4,6,1,3,5,7,2]=>[4,1,3,6,7,2,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,7,5,3,4,1,6]=>[6,1,4,3,5,7,2]=>[6,1,4,5,3,7,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[2,7,5,3,4,6,1]=>[1,6,4,3,5,7,2]=>[6,1,4,5,3,2,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,7,5,3,6,1,4]=>[4,1,6,3,5,7,2]=>[4,1,3,6,2,7,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,7,5,3,6,4,1]=>[1,4,6,3,5,7,2]=>[4,1,3,6,2,5,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,7,5,4,1,3,6]=>[6,3,1,4,5,7,2]=>[3,1,4,6,7,5,2]=>[[.,.],[[.,[[.,[.,.]],.]],.]]
[2,7,5,4,1,6,3]=>[3,6,1,4,5,7,2]=>[6,3,4,5,7,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[2,7,5,4,3,1,6]=>[6,1,3,4,5,7,2]=>[6,1,3,4,5,7,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[2,7,5,4,3,6,1]=>[1,6,3,4,5,7,2]=>[6,1,3,4,5,2,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,7,5,4,6,1,3]=>[3,1,6,4,5,7,2]=>[6,3,4,5,1,7,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2]=>[6,1,3,4,2,5,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,7,5,6,1,3,4]=>[4,3,1,6,5,7,2]=>[4,3,6,1,7,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,7,5,6,1,4,3]=>[3,4,1,6,5,7,2]=>[6,3,4,1,5,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,7,5,6,3,1,4]=>[4,1,3,6,5,7,2]=>[4,1,3,2,6,7,5]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[2,7,5,6,3,4,1]=>[1,4,3,6,5,7,2]=>[4,1,3,2,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,7,5,6,4,1,3]=>[3,1,4,6,5,7,2]=>[6,3,4,1,5,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[2,7,5,6,4,3,1]=>[1,3,4,6,5,7,2]=>[6,1,3,2,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,6,1,3,4,5]=>[5,4,3,1,6,7,2]=>[5,1,6,7,4,3,2]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[2,7,6,1,3,5,4]=>[4,5,3,1,6,7,2]=>[4,1,5,6,3,2,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,7,6,1,4,3,5]=>[5,3,4,1,6,7,2]=>[3,1,5,6,4,7,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[2,7,6,1,4,5,3]=>[3,5,4,1,6,7,2]=>[3,1,5,6,4,2,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,7,6,1,5,3,4]=>[4,3,5,1,6,7,2]=>[4,1,5,6,3,7,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[2,7,6,1,5,4,3]=>[3,4,5,1,6,7,2]=>[3,1,4,5,2,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,7,6,3,1,4,5]=>[5,4,1,3,6,7,2]=>[5,1,4,6,7,3,2]=>[[.,.],[[[.,[.,[.,.]]],.],.]]
[2,7,6,3,1,5,4]=>[4,5,1,3,6,7,2]=>[4,3,5,6,7,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[2,7,6,3,4,1,5]=>[5,1,4,3,6,7,2]=>[5,1,4,6,3,7,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[2,7,6,3,4,5,1]=>[1,5,4,3,6,7,2]=>[5,1,4,6,3,2,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,7,6,3,5,1,4]=>[4,1,5,3,6,7,2]=>[4,3,5,6,1,7,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,7,6,3,5,4,1]=>[1,4,5,3,6,7,2]=>[4,1,3,5,2,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,7,6,4,1,3,5]=>[5,3,1,4,6,7,2]=>[3,1,5,6,7,4,2]=>[[.,.],[[[.,[.,[.,.]]],.],.]]
[2,7,6,4,1,5,3]=>[3,5,1,4,6,7,2]=>[5,3,4,6,7,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[2,7,6,4,3,1,5]=>[5,1,3,4,6,7,2]=>[5,1,3,4,6,7,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[2,7,6,4,3,5,1]=>[1,5,3,4,6,7,2]=>[5,1,3,4,6,2,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,7,6,4,5,1,3]=>[3,1,5,4,6,7,2]=>[5,3,4,6,1,7,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,7,6,4,5,3,1]=>[1,3,5,4,6,7,2]=>[5,1,3,4,2,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,7,6,5,1,3,4]=>[4,3,1,5,6,7,2]=>[4,1,5,6,7,3,2]=>[[.,.],[[[.,[.,[.,.]]],.],.]]
[2,7,6,5,1,4,3]=>[3,4,1,5,6,7,2]=>[3,1,4,5,6,2,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,7,6,5,3,1,4]=>[4,1,3,5,6,7,2]=>[4,1,3,5,6,7,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[2,7,6,5,3,4,1]=>[1,4,3,5,6,7,2]=>[4,1,3,5,6,2,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,7,6,5,4,1,3]=>[3,1,4,5,6,7,2]=>[3,1,4,5,6,7,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2]=>[3,1,2,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[3,1,2,4,5,6,7]=>[7,6,5,4,2,1,3]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[3,1,2,4,5,7,6]=>[6,7,5,4,2,1,3]=>[6,7,5,4,2,1,3]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,1,2,4,6,5,7]=>[7,5,6,4,2,1,3]=>[5,7,6,4,2,3,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[3,1,2,4,6,7,5]=>[5,7,6,4,2,1,3]=>[5,7,6,4,2,1,3]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[3,1,2,4,7,5,6]=>[6,5,7,4,2,1,3]=>[6,7,5,4,2,3,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[3,1,2,4,7,6,5]=>[5,6,7,4,2,1,3]=>[5,6,4,2,1,3,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[3,1,2,5,4,6,7]=>[7,6,4,5,2,1,3]=>[4,7,6,2,5,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,1,2,5,4,7,6]=>[6,7,4,5,2,1,3]=>[6,7,4,2,5,1,3]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,1,2,5,6,4,7]=>[7,4,6,5,2,1,3]=>[4,7,6,5,2,3,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[3,1,2,5,6,7,4]=>[4,7,6,5,2,1,3]=>[4,7,6,5,2,1,3]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[3,1,2,5,7,4,6]=>[6,4,7,5,2,1,3]=>[6,7,4,2,1,5,3]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[3,1,2,5,7,6,4]=>[4,6,7,5,2,1,3]=>[4,6,5,2,1,3,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[3,1,2,6,4,5,7]=>[7,5,4,6,2,1,3]=>[5,7,6,2,4,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,1,2,6,4,7,5]=>[5,7,4,6,2,1,3]=>[5,7,4,2,6,1,3]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,1,2,6,5,4,7]=>[7,4,5,6,2,1,3]=>[4,7,5,2,3,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[3,1,2,6,5,7,4]=>[4,7,5,6,2,1,3]=>[4,7,5,2,3,1,6]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,1,2,6,7,4,5]=>[5,4,7,6,2,1,3]=>[5,7,4,2,1,6,3]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[3,1,2,6,7,5,4]=>[4,5,7,6,2,1,3]=>[4,7,5,2,1,3,6]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[3,1,2,7,4,5,6]=>[6,5,4,7,2,1,3]=>[6,7,5,2,4,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[3,1,2,7,4,6,5]=>[5,6,4,7,2,1,3]=>[5,6,4,2,3,1,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,1,2,7,5,4,6]=>[6,4,5,7,2,1,3]=>[4,6,5,2,3,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[3,1,2,7,5,6,4]=>[4,6,5,7,2,1,3]=>[4,6,5,2,3,1,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,1,2,7,6,4,5]=>[5,4,6,7,2,1,3]=>[5,6,4,2,3,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[3,1,2,7,6,5,4]=>[4,5,6,7,2,1,3]=>[4,5,2,1,3,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[3,1,4,2,5,6,7]=>[7,6,5,2,4,1,3]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[3,1,4,2,5,7,6]=>[6,7,5,2,4,1,3]=>[6,7,2,5,4,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,1,4,2,6,5,7]=>[7,5,6,2,4,1,3]=>[5,7,2,6,1,4,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,1,4,2,6,7,5]=>[5,7,6,2,4,1,3]=>[5,7,2,6,4,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,1,4,2,7,5,6]=>[6,5,7,2,4,1,3]=>[6,7,2,5,1,4,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,1,4,2,7,6,5]=>[5,6,7,2,4,1,3]=>[5,6,2,4,1,3,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[3,1,4,5,2,6,7]=>[7,6,2,5,4,1,3]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,1,4,5,2,7,6]=>[6,7,2,5,4,1,3]=>[6,7,5,2,4,1,3]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,1,4,5,6,2,7]=>[7,2,6,5,4,1,3]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,1,4,5,6,7,2]=>[2,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,1,4,5,7,2,6]=>[6,2,7,5,4,1,3]=>[6,7,5,2,1,4,3]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[3,1,4,5,7,6,2]=>[2,6,7,5,4,1,3]=>[2,6,5,4,1,3,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[3,1,4,6,2,5,7]=>[7,5,2,6,4,1,3]=>[5,7,2,1,6,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,1,4,6,2,7,5]=>[5,7,2,6,4,1,3]=>[5,7,6,2,4,1,3]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,1,4,6,5,2,7]=>[7,2,5,6,4,1,3]=>[2,7,5,1,4,6,3]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[3,1,4,6,5,7,2]=>[2,7,5,6,4,1,3]=>[2,7,5,1,4,3,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,1,4,6,7,2,5]=>[5,2,7,6,4,1,3]=>[5,7,6,2,1,4,3]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,1,4,6,7,5,2]=>[2,5,7,6,4,1,3]=>[2,7,5,4,1,3,6]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[3,1,4,7,2,5,6]=>[6,5,2,7,4,1,3]=>[6,7,2,1,5,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,1,4,7,2,6,5]=>[5,6,2,7,4,1,3]=>[5,6,2,1,4,3,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[3,1,4,7,5,2,6]=>[6,2,5,7,4,1,3]=>[2,6,5,1,4,7,3]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[3,1,4,7,5,6,2]=>[2,6,5,7,4,1,3]=>[2,6,5,1,4,3,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,1,4,7,6,2,5]=>[5,2,6,7,4,1,3]=>[5,6,2,1,4,7,3]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[3,1,4,7,6,5,2]=>[2,5,6,7,4,1,3]=>[2,5,4,1,3,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[3,1,5,2,4,6,7]=>[7,6,4,2,5,1,3]=>[4,7,2,6,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,1,5,2,4,7,6]=>[6,7,4,2,5,1,3]=>[6,7,4,5,2,1,3]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[3,1,5,2,6,4,7]=>[7,4,6,2,5,1,3]=>[4,7,2,6,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,1,5,2,6,7,4]=>[4,7,6,2,5,1,3]=>[4,7,2,6,5,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,1,5,2,7,4,6]=>[6,4,7,2,5,1,3]=>[6,7,4,5,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[3,1,5,2,7,6,4]=>[4,6,7,2,5,1,3]=>[4,6,2,5,1,3,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[3,1,5,4,2,6,7]=>[7,6,2,4,5,1,3]=>[2,7,1,4,6,5,3]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[3,1,5,4,2,7,6]=>[6,7,2,4,5,1,3]=>[6,7,2,4,5,1,3]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[3,1,5,4,6,2,7]=>[7,2,6,4,5,1,3]=>[2,7,1,6,4,5,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[3,1,5,4,6,7,2]=>[2,7,6,4,5,1,3]=>[2,7,1,6,4,3,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,1,5,4,7,2,6]=>[6,2,7,4,5,1,3]=>[6,7,2,4,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,1,5,4,7,6,2]=>[2,6,7,4,5,1,3]=>[6,7,2,4,1,3,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[3,1,5,6,2,4,7]=>[7,4,2,6,5,1,3]=>[4,7,2,1,6,5,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,1,5,6,2,7,4]=>[4,7,2,6,5,1,3]=>[4,7,6,2,5,1,3]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,1,5,6,4,2,7]=>[7,2,4,6,5,1,3]=>[2,7,6,1,4,5,3]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[3,1,5,6,4,7,2]=>[2,7,4,6,5,1,3]=>[2,7,6,1,4,3,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,1,5,6,7,2,4]=>[4,2,7,6,5,1,3]=>[4,7,6,2,1,5,3]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,1,5,6,7,4,2]=>[2,4,7,6,5,1,3]=>[2,7,6,4,1,3,5]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[3,1,5,7,2,4,6]=>[6,4,2,7,5,1,3]=>[6,7,4,2,5,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[3,1,5,7,2,6,4]=>[4,6,2,7,5,1,3]=>[4,6,2,1,5,3,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[3,1,5,7,4,2,6]=>[6,2,4,7,5,1,3]=>[6,7,2,1,4,5,3]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[3,1,5,7,4,6,2]=>[2,6,4,7,5,1,3]=>[6,7,2,1,4,3,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[3,1,5,7,6,2,4]=>[4,2,6,7,5,1,3]=>[4,6,2,1,5,7,3]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[3,1,5,7,6,4,2]=>[2,4,6,7,5,1,3]=>[2,6,4,1,3,5,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[3,1,6,2,4,5,7]=>[7,5,4,2,6,1,3]=>[5,7,2,6,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,1,6,2,4,7,5]=>[5,7,4,2,6,1,3]=>[5,7,4,6,2,1,3]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[3,1,6,2,5,4,7]=>[7,4,5,2,6,1,3]=>[4,7,2,5,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,1,6,2,5,7,4]=>[4,7,5,2,6,1,3]=>[4,7,2,5,3,1,6]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,1,6,2,7,4,5]=>[5,4,7,2,6,1,3]=>[5,7,4,6,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[3,1,6,2,7,5,4]=>[4,5,7,2,6,1,3]=>[4,7,2,5,1,3,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[3,1,6,4,2,5,7]=>[7,5,2,4,6,1,3]=>[2,7,1,5,6,4,3]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[3,1,6,4,2,7,5]=>[5,7,2,4,6,1,3]=>[5,7,2,4,6,1,3]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[3,1,6,4,5,2,7]=>[7,2,5,4,6,1,3]=>[2,7,1,5,4,6,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[3,1,6,4,5,7,2]=>[2,7,5,4,6,1,3]=>[2,7,1,5,4,3,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,1,6,4,7,2,5]=>[5,2,7,4,6,1,3]=>[5,7,2,4,1,6,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,1,6,4,7,5,2]=>[2,5,7,4,6,1,3]=>[5,7,2,4,1,3,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[3,1,6,5,2,4,7]=>[7,4,2,5,6,1,3]=>[4,7,2,5,6,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,1,6,5,2,7,4]=>[4,7,2,5,6,1,3]=>[4,7,2,5,6,1,3]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[3,1,6,5,4,2,7]=>[7,2,4,5,6,1,3]=>[2,7,1,4,5,6,3]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[3,1,6,5,4,7,2]=>[2,7,4,5,6,1,3]=>[2,7,1,4,5,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,1,6,5,7,2,4]=>[4,2,7,5,6,1,3]=>[4,7,2,5,1,6,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,1,6,5,7,4,2]=>[2,4,7,5,6,1,3]=>[2,7,1,4,3,5,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,1,6,7,2,4,5]=>[5,4,2,7,6,1,3]=>[5,7,4,2,6,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[3,1,6,7,2,5,4]=>[4,5,2,7,6,1,3]=>[4,7,2,1,5,3,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[3,1,6,7,4,2,5]=>[5,2,4,7,6,1,3]=>[5,7,2,1,4,6,3]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[3,1,6,7,4,5,2]=>[2,5,4,7,6,1,3]=>[5,7,2,1,4,3,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[3,1,6,7,5,2,4]=>[4,2,5,7,6,1,3]=>[4,7,2,1,5,6,3]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[3,1,6,7,5,4,2]=>[2,4,5,7,6,1,3]=>[2,7,4,1,3,5,6]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[3,1,7,2,4,5,6]=>[6,5,4,2,7,1,3]=>[6,7,2,5,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,1,7,2,4,6,5]=>[5,6,4,2,7,1,3]=>[5,6,2,4,3,1,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,1,7,2,5,4,6]=>[6,4,5,2,7,1,3]=>[4,6,2,5,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,1,7,2,5,6,4]=>[4,6,5,2,7,1,3]=>[4,6,2,5,3,1,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,1,7,2,6,4,5]=>[5,4,6,2,7,1,3]=>[5,6,2,4,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,1,7,2,6,5,4]=>[4,5,6,2,7,1,3]=>[4,5,2,3,1,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[3,1,7,4,2,5,6]=>[6,5,2,4,7,1,3]=>[2,6,1,5,7,4,3]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[3,1,7,4,2,6,5]=>[5,6,2,4,7,1,3]=>[5,6,2,4,7,1,3]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[3,1,7,4,5,2,6]=>[6,2,5,4,7,1,3]=>[2,6,1,5,4,7,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[3,1,7,4,5,6,2]=>[2,6,5,4,7,1,3]=>[2,6,1,5,4,3,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,1,7,4,6,2,5]=>[5,2,6,4,7,1,3]=>[5,6,2,4,1,7,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,1,7,4,6,5,2]=>[2,5,6,4,7,1,3]=>[2,5,1,4,3,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,1,7,5,2,4,6]=>[6,4,2,5,7,1,3]=>[4,6,2,5,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,1,7,5,2,6,4]=>[4,6,2,5,7,1,3]=>[4,6,2,5,7,1,3]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[3,1,7,5,4,2,6]=>[6,2,4,5,7,1,3]=>[2,6,1,4,5,7,3]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[3,1,7,5,4,6,2]=>[2,6,4,5,7,1,3]=>[2,6,1,4,5,3,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,1,7,5,6,2,4]=>[4,2,6,5,7,1,3]=>[4,6,2,5,1,7,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,1,7,5,6,4,2]=>[2,4,6,5,7,1,3]=>[2,6,1,4,3,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,1,7,6,2,4,5]=>[5,4,2,6,7,1,3]=>[5,6,2,4,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,1,7,6,2,5,4]=>[4,5,2,6,7,1,3]=>[4,5,2,3,6,1,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[3,1,7,6,4,2,5]=>[5,2,4,6,7,1,3]=>[2,5,1,4,6,7,3]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[3,1,7,6,4,5,2]=>[2,5,4,6,7,1,3]=>[2,5,1,4,6,3,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,1,7,6,5,2,4]=>[4,2,5,6,7,1,3]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[3,1,7,6,5,4,2]=>[2,4,5,6,7,1,3]=>[2,4,1,3,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3]=>[1,2,7,6,5,4,3]=>[.,[.,[[[[[.,.],.],.],.],.]]]
[3,2,1,4,5,7,6]=>[6,7,5,4,1,2,3]=>[1,6,7,5,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[3,2,1,4,6,5,7]=>[7,5,6,4,1,2,3]=>[1,5,7,6,2,4,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[3,2,1,4,6,7,5]=>[5,7,6,4,1,2,3]=>[1,5,7,6,4,2,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[3,2,1,4,7,5,6]=>[6,5,7,4,1,2,3]=>[1,6,7,5,2,4,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[3,2,1,5,4,6,7]=>[7,6,4,5,1,2,3]=>[1,4,7,2,6,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[3,2,1,5,4,7,6]=>[6,7,4,5,1,2,3]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,2,1,5,6,4,7]=>[7,4,6,5,1,2,3]=>[1,4,7,6,2,5,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[3,2,1,5,6,7,4]=>[4,7,6,5,1,2,3]=>[1,4,7,6,5,2,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[3,2,1,5,7,4,6]=>[6,4,7,5,1,2,3]=>[1,6,7,4,2,5,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,2,1,5,7,6,4]=>[4,6,7,5,1,2,3]=>[4,6,7,5,1,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[3,2,1,6,4,5,7]=>[7,5,4,6,1,2,3]=>[1,5,7,2,6,4,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[3,2,1,6,4,7,5]=>[5,7,4,6,1,2,3]=>[1,5,7,4,6,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3]=>[4,5,7,1,2,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,2,1,6,5,7,4]=>[4,7,5,6,1,2,3]=>[4,5,7,1,6,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,2,1,6,7,4,5]=>[5,4,7,6,1,2,3]=>[1,5,7,4,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,2,1,6,7,5,4]=>[4,5,7,6,1,2,3]=>[4,5,7,6,1,2,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[3,2,1,7,4,5,6]=>[6,5,4,7,1,2,3]=>[1,6,7,2,5,4,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[3,2,1,7,4,6,5]=>[5,6,4,7,1,2,3]=>[5,6,7,1,4,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,2,1,7,5,4,6]=>[6,4,5,7,1,2,3]=>[4,6,7,1,2,5,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,2,1,7,5,6,4]=>[4,6,5,7,1,2,3]=>[4,6,7,1,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,2,1,7,6,4,5]=>[5,4,6,7,1,2,3]=>[5,6,7,1,2,4,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]=>[4,5,6,1,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,4,1,5,6,7]=>[7,6,5,1,4,2,3]=>[1,7,2,6,5,4,3]=>[.,[[.,.],[[[[.,.],.],.],.]]]
[3,2,4,1,5,7,6]=>[6,7,5,1,4,2,3]=>[1,6,5,7,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[3,2,4,1,6,5,7]=>[7,5,6,1,4,2,3]=>[1,7,5,6,2,4,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,2,4,1,6,7,5]=>[5,7,6,1,4,2,3]=>[1,7,5,6,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[3,2,4,1,7,5,6]=>[6,5,7,1,4,2,3]=>[1,6,5,7,2,4,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,2,4,1,7,6,5]=>[5,6,7,1,4,2,3]=>[5,6,4,7,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[3,2,4,5,1,6,7]=>[7,6,1,5,4,2,3]=>[1,7,6,2,5,4,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[3,2,4,5,1,7,6]=>[6,7,1,5,4,2,3]=>[1,6,5,4,7,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,2,4,5,6,1,7]=>[7,1,6,5,4,2,3]=>[1,7,6,5,2,4,3]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[3,2,4,5,6,7,1]=>[1,7,6,5,4,2,3]=>[1,7,6,5,4,2,3]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[3,2,4,5,7,1,6]=>[6,1,7,5,4,2,3]=>[1,6,5,4,2,7,3]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[3,2,4,5,7,6,1]=>[1,6,7,5,4,2,3]=>[6,7,5,4,1,2,3]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[3,2,4,6,1,5,7]=>[7,5,1,6,4,2,3]=>[1,7,5,2,6,4,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[3,2,4,6,1,7,5]=>[5,7,1,6,4,2,3]=>[1,7,5,4,6,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,2,4,6,5,1,7]=>[7,1,5,6,4,2,3]=>[5,7,6,1,2,4,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,2,4,6,5,7,1]=>[1,7,5,6,4,2,3]=>[5,7,6,1,4,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,2,4,6,7,1,5]=>[5,1,7,6,4,2,3]=>[1,7,5,4,2,6,3]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[3,2,4,6,7,5,1]=>[1,5,7,6,4,2,3]=>[5,7,6,4,1,2,3]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[3,2,4,7,1,5,6]=>[6,5,1,7,4,2,3]=>[1,6,5,2,7,4,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[3,2,4,7,1,6,5]=>[5,6,1,7,4,2,3]=>[5,6,4,1,7,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[3,2,4,7,5,1,6]=>[6,1,5,7,4,2,3]=>[6,7,5,1,2,4,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[3,2,4,7,5,6,1]=>[1,6,5,7,4,2,3]=>[6,7,5,1,4,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[3,2,4,7,6,1,5]=>[5,1,6,7,4,2,3]=>[5,6,4,1,2,7,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3]=>[5,6,4,1,2,3,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[3,2,5,1,4,6,7]=>[7,6,4,1,5,2,3]=>[1,4,2,7,6,5,3]=>[.,[[.,.],[[[[.,.],.],.],.]]]
[3,2,5,1,4,7,6]=>[6,7,4,1,5,2,3]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,2,5,1,6,4,7]=>[7,4,6,1,5,2,3]=>[1,7,4,6,2,5,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,2,5,1,6,7,4]=>[4,7,6,1,5,2,3]=>[1,7,4,6,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,2,5,1,7,4,6]=>[6,4,7,1,5,2,3]=>[1,6,4,7,2,5,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,2,5,1,7,6,4]=>[4,6,7,1,5,2,3]=>[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[3,2,5,4,1,6,7]=>[7,6,1,4,5,2,3]=>[4,7,1,2,6,5,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[3,2,5,4,1,7,6]=>[6,7,1,4,5,2,3]=>[6,7,1,4,5,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,2,5,4,6,1,7]=>[7,1,6,4,5,2,3]=>[4,7,1,6,2,5,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,5,4,6,7,1]=>[1,7,6,4,5,2,3]=>[4,7,1,6,5,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,2,5,4,7,1,6]=>[6,1,7,4,5,2,3]=>[6,7,1,4,2,5,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[3,2,5,6,1,4,7]=>[7,4,1,6,5,2,3]=>[1,7,4,2,6,5,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[3,2,5,6,1,7,4]=>[4,7,1,6,5,2,3]=>[1,7,6,4,5,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,2,5,6,4,1,7]=>[7,1,4,6,5,2,3]=>[4,7,6,1,2,5,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,2,5,6,4,7,1]=>[1,7,4,6,5,2,3]=>[4,7,6,1,5,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,2,5,6,7,1,4]=>[4,1,7,6,5,2,3]=>[1,7,6,4,2,5,3]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[3,2,5,6,7,4,1]=>[1,4,7,6,5,2,3]=>[4,7,6,5,1,2,3]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[3,2,5,7,1,4,6]=>[6,4,1,7,5,2,3]=>[1,6,4,2,7,5,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[3,2,5,7,1,6,4]=>[4,6,1,7,5,2,3]=>[4,6,5,1,7,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,2,5,7,4,1,6]=>[6,1,4,7,5,2,3]=>[6,7,4,1,2,5,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[3,2,5,7,4,6,1]=>[1,6,4,7,5,2,3]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[3,2,5,7,6,1,4]=>[4,1,6,7,5,2,3]=>[4,6,5,1,2,7,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,2,5,7,6,4,1]=>[1,4,6,7,5,2,3]=>[4,6,5,1,2,3,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[3,2,6,1,4,5,7]=>[7,5,4,1,6,2,3]=>[1,5,2,7,6,4,3]=>[.,[[.,.],[[[[.,.],.],.],.]]]
[3,2,6,1,4,7,5]=>[5,7,4,1,6,2,3]=>[1,5,4,7,6,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,2,6,1,5,4,7]=>[7,4,5,1,6,2,3]=>[4,5,1,7,2,6,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,6,1,5,7,4]=>[4,7,5,1,6,2,3]=>[4,5,1,7,6,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,2,6,1,7,4,5]=>[5,4,7,1,6,2,3]=>[1,5,4,7,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,2,6,1,7,5,4]=>[4,5,7,1,6,2,3]=>[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[3,2,6,4,1,5,7]=>[7,5,1,4,6,2,3]=>[5,7,1,2,6,4,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[3,2,6,4,1,7,5]=>[5,7,1,4,6,2,3]=>[5,7,1,4,6,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,2,6,4,5,1,7]=>[7,1,5,4,6,2,3]=>[5,7,1,6,2,4,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,6,4,5,7,1]=>[1,7,5,4,6,2,3]=>[5,7,1,6,4,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,2,6,4,7,1,5]=>[5,1,7,4,6,2,3]=>[5,7,1,4,2,6,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,6,4,7,5,1]=>[1,5,7,4,6,2,3]=>[5,7,4,6,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[3,2,6,5,1,4,7]=>[7,4,1,5,6,2,3]=>[4,5,1,2,7,6,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[3,2,6,5,1,7,4]=>[4,7,1,5,6,2,3]=>[4,7,1,5,6,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,2,6,5,4,1,7]=>[7,1,4,5,6,2,3]=>[4,7,1,2,5,6,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[3,2,6,5,4,7,1]=>[1,7,4,5,6,2,3]=>[4,7,1,2,5,3,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,2,6,5,7,1,4]=>[4,1,7,5,6,2,3]=>[4,7,1,5,2,6,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,6,5,7,4,1]=>[1,4,7,5,6,2,3]=>[4,7,1,5,2,3,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,6,7,1,4,5]=>[5,4,1,7,6,2,3]=>[1,5,4,2,7,6,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[3,2,6,7,1,5,4]=>[4,5,1,7,6,2,3]=>[4,7,5,1,6,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,2,6,7,4,1,5]=>[5,1,4,7,6,2,3]=>[5,7,4,1,2,6,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3]=>[5,7,4,1,6,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[3,2,6,7,5,1,4]=>[4,1,5,7,6,2,3]=>[4,7,5,1,2,6,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,2,6,7,5,4,1]=>[1,4,5,7,6,2,3]=>[4,7,5,1,2,3,6]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[3,2,7,1,4,5,6]=>[6,5,4,1,7,2,3]=>[1,6,2,7,5,4,3]=>[.,[[.,.],[[[[.,.],.],.],.]]]
[3,2,7,1,4,6,5]=>[5,6,4,1,7,2,3]=>[5,6,1,7,4,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,2,7,1,5,4,6]=>[6,4,5,1,7,2,3]=>[4,6,1,7,2,5,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,7,1,5,6,4]=>[4,6,5,1,7,2,3]=>[4,6,1,7,5,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,2,7,1,6,4,5]=>[5,4,6,1,7,2,3]=>[5,6,1,7,2,4,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,7,1,6,5,4]=>[4,5,6,1,7,2,3]=>[4,5,1,6,2,3,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,7,4,1,5,6]=>[6,5,1,4,7,2,3]=>[6,7,1,2,5,4,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[3,2,7,4,1,6,5]=>[5,6,1,4,7,2,3]=>[5,6,1,4,7,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,2,7,4,5,1,6]=>[6,1,5,4,7,2,3]=>[6,7,1,5,2,4,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,7,4,5,6,1]=>[1,6,5,4,7,2,3]=>[6,7,1,5,4,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,2,7,4,6,1,5]=>[5,1,6,4,7,2,3]=>[5,6,1,4,2,7,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,7,4,6,5,1]=>[1,5,6,4,7,2,3]=>[5,6,1,4,2,3,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,7,5,1,4,6]=>[6,4,1,5,7,2,3]=>[4,6,1,2,7,5,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[3,2,7,5,1,6,4]=>[4,6,1,5,7,2,3]=>[4,6,1,5,7,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,2,7,5,4,1,6]=>[6,1,4,5,7,2,3]=>[4,6,1,2,5,7,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[3,2,7,5,4,6,1]=>[1,6,4,5,7,2,3]=>[4,6,1,2,5,3,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,2,7,5,6,1,4]=>[4,1,6,5,7,2,3]=>[4,6,1,5,2,7,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3]=>[4,6,1,5,2,3,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,7,6,1,4,5]=>[5,4,1,6,7,2,3]=>[5,6,1,2,7,4,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[3,2,7,6,1,5,4]=>[4,5,1,6,7,2,3]=>[4,5,1,2,6,3,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,2,7,6,4,1,5]=>[5,1,4,6,7,2,3]=>[5,6,1,2,4,7,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[3,2,7,6,4,5,1]=>[1,5,4,6,7,2,3]=>[5,6,1,2,4,3,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,2,7,6,5,1,4]=>[4,1,5,6,7,2,3]=>[4,5,1,2,6,7,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3]=>[4,5,1,2,3,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[3,4,1,2,5,6,7]=>[7,6,5,2,1,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,1,2,5,7,6]=>[6,7,5,2,1,4,3]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,4,1,2,6,5,7]=>[7,5,6,2,1,4,3]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,4,1,2,6,7,5]=>[5,7,6,2,1,4,3]=>[5,2,7,6,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,4,1,2,7,5,6]=>[6,5,7,2,1,4,3]=>[6,2,7,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,4,1,2,7,6,5]=>[5,6,7,2,1,4,3]=>[5,2,6,4,1,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,4,1,5,2,6,7]=>[7,6,2,5,1,4,3]=>[7,2,6,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,4,1,5,2,7,6]=>[6,7,2,5,1,4,3]=>[6,5,7,2,4,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,4,1,5,6,2,7]=>[7,2,6,5,1,4,3]=>[7,2,6,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,4,1,5,6,7,2]=>[2,7,6,5,1,4,3]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,4,1,5,7,2,6]=>[6,2,7,5,1,4,3]=>[6,5,7,2,1,4,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,4,1,5,7,6,2]=>[2,6,7,5,1,4,3]=>[6,2,5,4,1,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,4,1,6,2,5,7]=>[7,5,2,6,1,4,3]=>[5,2,7,1,6,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,4,1,6,2,7,5]=>[5,7,2,6,1,4,3]=>[7,5,6,2,4,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,4,1,6,5,2,7]=>[7,2,5,6,1,4,3]=>[7,2,5,1,4,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,4,1,6,5,7,2]=>[2,7,5,6,1,4,3]=>[7,2,5,1,4,3,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,4,1,6,7,2,5]=>[5,2,7,6,1,4,3]=>[7,5,6,2,1,4,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,4,1,6,7,5,2]=>[2,5,7,6,1,4,3]=>[7,2,5,4,1,3,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,4,1,7,2,5,6]=>[6,5,2,7,1,4,3]=>[6,2,7,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,4,1,7,2,6,5]=>[5,6,2,7,1,4,3]=>[5,2,6,1,4,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,4,1,7,5,2,6]=>[6,2,5,7,1,4,3]=>[6,2,5,1,4,7,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,4,1,7,5,6,2]=>[2,6,5,7,1,4,3]=>[6,2,5,1,4,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,4,1,7,6,2,5]=>[5,2,6,7,1,4,3]=>[5,2,6,1,4,7,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,4,1,7,6,5,2]=>[2,5,6,7,1,4,3]=>[5,2,4,1,3,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,4,2,1,5,6,7]=>[7,6,5,1,2,4,3]=>[7,1,2,6,5,4,3]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[3,4,2,1,5,7,6]=>[6,7,5,1,2,4,3]=>[6,1,5,7,4,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,4,2,1,6,5,7]=>[7,5,6,1,2,4,3]=>[7,1,5,6,2,4,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,4,2,1,6,7,5]=>[5,7,6,1,2,4,3]=>[7,1,5,6,4,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,4,2,1,7,5,6]=>[6,5,7,1,2,4,3]=>[6,1,5,7,2,4,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,4,2,1,7,6,5]=>[5,6,7,1,2,4,3]=>[5,4,6,7,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[3,4,2,5,1,6,7]=>[7,6,1,5,2,4,3]=>[7,1,6,2,5,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[3,4,2,5,1,7,6]=>[6,7,1,5,2,4,3]=>[6,1,5,4,7,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,4,2,5,6,1,7]=>[7,1,6,5,2,4,3]=>[7,1,6,5,2,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,4,2,5,6,7,1]=>[1,7,6,5,2,4,3]=>[7,1,6,5,4,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[3,4,2,5,7,1,6]=>[6,1,7,5,2,4,3]=>[6,1,5,4,2,7,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,4,2,5,7,6,1]=>[1,6,7,5,2,4,3]=>[6,5,7,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[3,4,2,6,1,5,7]=>[7,5,1,6,2,4,3]=>[7,1,5,2,6,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[3,4,2,6,1,7,5]=>[5,7,1,6,2,4,3]=>[7,1,5,4,6,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,4,2,6,5,1,7]=>[7,1,5,6,2,4,3]=>[7,5,6,1,2,4,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,4,2,6,5,7,1]=>[1,7,5,6,2,4,3]=>[7,5,6,1,4,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,4,2,6,7,1,5]=>[5,1,7,6,2,4,3]=>[7,1,5,4,2,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,4,2,6,7,5,1]=>[1,5,7,6,2,4,3]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[3,4,2,7,1,5,6]=>[6,5,1,7,2,4,3]=>[6,1,5,2,7,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[3,4,2,7,1,6,5]=>[5,6,1,7,2,4,3]=>[5,4,6,1,7,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,4,2,7,5,1,6]=>[6,1,5,7,2,4,3]=>[6,5,7,1,2,4,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,4,2,7,5,6,1]=>[1,6,5,7,2,4,3]=>[6,5,7,1,4,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,4,2,7,6,1,5]=>[5,1,6,7,2,4,3]=>[5,4,6,1,2,7,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,4,2,7,6,5,1]=>[1,5,6,7,2,4,3]=>[5,4,6,1,2,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,4,5,1,2,6,7]=>[7,6,2,1,5,4,3]=>[7,2,1,6,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,5,1,2,7,6]=>[6,7,2,1,5,4,3]=>[6,5,2,7,4,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,4,5,1,6,2,7]=>[7,2,6,1,5,4,3]=>[7,6,2,5,1,4,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,4,5,1,6,7,2]=>[2,7,6,1,5,4,3]=>[7,6,2,5,4,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,4,5,1,7,2,6]=>[6,2,7,1,5,4,3]=>[6,5,2,7,1,4,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,4,5,1,7,6,2]=>[2,6,7,1,5,4,3]=>[6,5,2,4,1,3,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[3,4,5,2,1,6,7]=>[7,6,1,2,5,4,3]=>[7,6,1,2,5,4,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[3,4,5,2,1,7,6]=>[6,7,1,2,5,4,3]=>[6,5,1,4,7,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,4,5,2,6,1,7]=>[7,1,6,2,5,4,3]=>[7,6,1,5,2,4,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,4,5,2,6,7,1]=>[1,7,6,2,5,4,3]=>[7,6,1,5,4,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,4,5,2,7,1,6]=>[6,1,7,2,5,4,3]=>[6,5,1,4,2,7,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,4,5,2,7,6,1]=>[1,6,7,2,5,4,3]=>[6,5,4,7,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[3,4,5,6,1,2,7]=>[7,2,1,6,5,4,3]=>[7,6,2,1,5,4,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,4,5,6,1,7,2]=>[2,7,1,6,5,4,3]=>[7,6,5,2,4,1,3]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[3,4,5,6,2,1,7]=>[7,1,2,6,5,4,3]=>[7,6,5,1,2,4,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[3,4,5,6,2,7,1]=>[1,7,2,6,5,4,3]=>[7,6,5,1,4,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[3,4,5,6,7,1,2]=>[2,1,7,6,5,4,3]=>[7,6,5,2,1,4,3]=>[[[[[.,.],.],.],.],[[.,.],.]]
[3,4,5,6,7,2,1]=>[1,2,7,6,5,4,3]=>[7,6,5,4,1,2,3]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[3,4,5,7,1,2,6]=>[6,2,1,7,5,4,3]=>[6,5,2,1,7,4,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,4,5,7,1,6,2]=>[2,6,1,7,5,4,3]=>[6,5,2,1,4,3,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[3,4,5,7,2,1,6]=>[6,1,2,7,5,4,3]=>[6,5,4,1,2,7,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[3,4,5,7,2,6,1]=>[1,6,2,7,5,4,3]=>[6,5,4,1,7,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[3,4,5,7,6,1,2]=>[2,1,6,7,5,4,3]=>[6,5,2,1,4,7,3]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[3,4,5,7,6,2,1]=>[1,2,6,7,5,4,3]=>[6,5,4,1,2,3,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[3,4,6,1,2,5,7]=>[7,5,2,1,6,4,3]=>[5,2,1,7,6,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,6,1,2,7,5]=>[5,7,2,1,6,4,3]=>[7,5,2,6,4,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,4,6,1,5,2,7]=>[7,2,5,1,6,4,3]=>[7,2,1,5,4,6,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[3,4,6,1,5,7,2]=>[2,7,5,1,6,4,3]=>[7,2,1,5,4,3,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,4,6,1,7,2,5]=>[5,2,7,1,6,4,3]=>[7,5,2,6,1,4,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,4,6,1,7,5,2]=>[2,5,7,1,6,4,3]=>[7,5,2,4,1,3,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[3,4,6,2,1,5,7]=>[7,5,1,2,6,4,3]=>[7,5,1,2,6,4,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[3,4,6,2,1,7,5]=>[5,7,1,2,6,4,3]=>[7,5,1,4,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,4,6,2,5,1,7]=>[7,1,5,2,6,4,3]=>[7,5,1,6,2,4,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,4,6,2,5,7,1]=>[1,7,5,2,6,4,3]=>[7,5,1,6,4,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,4,6,2,7,1,5]=>[5,1,7,2,6,4,3]=>[7,5,1,4,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,4,6,2,7,5,1]=>[1,5,7,2,6,4,3]=>[7,5,4,6,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[3,4,6,5,1,2,7]=>[7,2,1,5,6,4,3]=>[7,2,1,5,6,4,3]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[3,4,6,5,1,7,2]=>[2,7,1,5,6,4,3]=>[7,5,2,4,6,1,3]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[3,4,6,5,2,1,7]=>[7,1,2,5,6,4,3]=>[7,5,1,2,4,6,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[3,4,6,5,2,7,1]=>[1,7,2,5,6,4,3]=>[7,5,1,2,4,3,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[3,4,6,5,7,1,2]=>[2,1,7,5,6,4,3]=>[7,5,2,4,1,6,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,4,6,5,7,2,1]=>[1,2,7,5,6,4,3]=>[7,5,1,4,2,3,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,4,6,7,1,2,5]=>[5,2,1,7,6,4,3]=>[7,5,2,1,6,4,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,4,6,7,1,5,2]=>[2,5,1,7,6,4,3]=>[7,5,2,1,4,3,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[3,4,6,7,2,1,5]=>[5,1,2,7,6,4,3]=>[7,5,4,1,2,6,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[3,4,6,7,2,5,1]=>[1,5,2,7,6,4,3]=>[7,5,4,1,6,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[3,4,6,7,5,1,2]=>[2,1,5,7,6,4,3]=>[7,5,2,1,4,6,3]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[3,4,6,7,5,2,1]=>[1,2,5,7,6,4,3]=>[7,5,4,1,2,3,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[3,4,7,1,2,5,6]=>[6,5,2,1,7,4,3]=>[6,2,1,7,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,4,7,1,2,6,5]=>[5,6,2,1,7,4,3]=>[5,2,1,6,4,3,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,4,7,1,5,2,6]=>[6,2,5,1,7,4,3]=>[6,2,1,5,4,7,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[3,4,7,1,5,6,2]=>[2,6,5,1,7,4,3]=>[6,2,1,5,4,3,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,4,7,1,6,2,5]=>[5,2,6,1,7,4,3]=>[5,2,1,6,4,7,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[3,4,7,1,6,5,2]=>[2,5,6,1,7,4,3]=>[5,2,1,4,3,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,4,7,2,1,5,6]=>[6,5,1,2,7,4,3]=>[6,5,1,2,7,4,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[3,4,7,2,1,6,5]=>[5,6,1,2,7,4,3]=>[5,4,1,6,7,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,4,7,2,5,1,6]=>[6,1,5,2,7,4,3]=>[6,5,1,7,2,4,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,4,7,2,5,6,1]=>[1,6,5,2,7,4,3]=>[6,5,1,7,4,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,4,7,2,6,1,5]=>[5,1,6,2,7,4,3]=>[5,4,1,6,2,7,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,4,7,2,6,5,1]=>[1,5,6,2,7,4,3]=>[5,4,1,6,2,3,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,4,7,5,1,2,6]=>[6,2,1,5,7,4,3]=>[6,2,1,5,7,4,3]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[3,4,7,5,1,6,2]=>[2,6,1,5,7,4,3]=>[6,5,2,4,7,1,3]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[3,4,7,5,2,1,6]=>[6,1,2,5,7,4,3]=>[6,5,1,2,4,7,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[3,4,7,5,2,6,1]=>[1,6,2,5,7,4,3]=>[6,5,1,2,4,3,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[3,4,7,5,6,1,2]=>[2,1,6,5,7,4,3]=>[6,5,2,4,1,7,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,4,7,5,6,2,1]=>[1,2,6,5,7,4,3]=>[6,5,1,4,2,3,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,4,7,6,1,2,5]=>[5,2,1,6,7,4,3]=>[5,2,1,6,7,4,3]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[3,4,7,6,1,5,2]=>[2,5,1,6,7,4,3]=>[5,2,1,4,6,3,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,4,7,6,2,1,5]=>[5,1,2,6,7,4,3]=>[5,4,1,2,6,7,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[3,4,7,6,2,5,1]=>[1,5,2,6,7,4,3]=>[5,4,1,2,6,3,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[3,4,7,6,5,1,2]=>[2,1,5,6,7,4,3]=>[5,2,1,4,6,7,3]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[3,4,7,6,5,2,1]=>[1,2,5,6,7,4,3]=>[5,4,1,2,3,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[3,5,1,2,4,6,7]=>[7,6,4,2,1,5,3]=>[4,2,7,6,5,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,5,1,2,4,7,6]=>[6,7,4,2,1,5,3]=>[6,4,7,5,2,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,5,1,2,6,4,7]=>[7,4,6,2,1,5,3]=>[4,2,7,6,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,5,1,2,6,7,4]=>[4,7,6,2,1,5,3]=>[4,2,7,6,5,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,5,1,2,7,4,6]=>[6,4,7,2,1,5,3]=>[6,4,7,5,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[3,5,1,2,7,6,4]=>[4,6,7,2,1,5,3]=>[4,2,6,5,1,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,5,1,4,2,6,7]=>[7,6,2,4,1,5,3]=>[2,1,7,4,6,5,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[3,5,1,4,2,7,6]=>[6,7,2,4,1,5,3]=>[6,2,7,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,5,1,4,6,2,7]=>[7,2,6,4,1,5,3]=>[2,1,7,6,4,5,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[3,5,1,4,6,7,2]=>[2,7,6,4,1,5,3]=>[2,1,7,6,4,3,5]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[3,5,1,4,7,2,6]=>[6,2,7,4,1,5,3]=>[6,2,7,4,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,5,1,4,7,6,2]=>[2,6,7,4,1,5,3]=>[6,2,7,4,1,3,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,5,1,6,2,4,7]=>[7,4,2,6,1,5,3]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,5,1,6,2,7,4]=>[4,7,2,6,1,5,3]=>[7,4,6,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,5,1,6,4,2,7]=>[7,2,4,6,1,5,3]=>[7,2,6,1,4,5,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,5,1,6,4,7,2]=>[2,7,4,6,1,5,3]=>[7,2,6,1,4,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,5,1,6,7,2,4]=>[4,2,7,6,1,5,3]=>[7,4,6,2,1,5,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,5,1,6,7,4,2]=>[2,4,7,6,1,5,3]=>[7,2,6,4,1,3,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,5,1,7,2,4,6]=>[6,4,2,7,1,5,3]=>[6,4,7,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[3,5,1,7,2,6,4]=>[4,6,2,7,1,5,3]=>[4,2,6,1,5,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,5,1,7,4,2,6]=>[6,2,4,7,1,5,3]=>[6,2,7,1,4,5,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,5,1,7,4,6,2]=>[2,6,4,7,1,5,3]=>[6,2,7,1,4,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,5,1,7,6,2,4]=>[4,2,6,7,1,5,3]=>[4,2,6,1,5,7,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,5,1,7,6,4,2]=>[2,4,6,7,1,5,3]=>[6,2,4,1,3,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,5,2,1,4,6,7]=>[7,6,4,1,2,5,3]=>[4,1,2,7,6,5,3]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[3,5,2,1,4,7,6]=>[6,7,4,1,2,5,3]=>[6,1,4,7,5,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[3,5,2,1,6,4,7]=>[7,4,6,1,2,5,3]=>[7,1,4,6,2,5,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,5,2,1,6,7,4]=>[4,7,6,1,2,5,3]=>[7,1,4,6,5,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[3,5,2,1,7,4,6]=>[6,4,7,1,2,5,3]=>[6,1,4,7,2,5,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,5,2,1,7,6,4]=>[4,6,7,1,2,5,3]=>[6,4,5,7,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[3,5,2,4,1,6,7]=>[7,6,1,4,2,5,3]=>[4,1,7,2,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[3,5,2,4,1,7,6]=>[6,7,1,4,2,5,3]=>[6,1,7,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,5,2,4,6,1,7]=>[7,1,6,4,2,5,3]=>[4,1,7,6,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,5,2,4,6,7,1]=>[1,7,6,4,2,5,3]=>[4,1,7,6,5,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[3,5,2,4,7,1,6]=>[6,1,7,4,2,5,3]=>[6,1,7,4,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,5,2,4,7,6,1]=>[1,6,7,4,2,5,3]=>[6,4,7,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,5,2,6,1,4,7]=>[7,4,1,6,2,5,3]=>[7,1,4,2,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[3,5,2,6,1,7,4]=>[4,7,1,6,2,5,3]=>[7,1,6,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,5,2,6,4,1,7]=>[7,1,4,6,2,5,3]=>[7,4,6,1,2,5,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,5,2,6,4,7,1]=>[1,7,4,6,2,5,3]=>[7,4,6,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,5,2,6,7,1,4]=>[4,1,7,6,2,5,3]=>[7,1,6,4,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,5,2,6,7,4,1]=>[1,4,7,6,2,5,3]=>[7,4,6,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,5,2,7,1,4,6]=>[6,4,1,7,2,5,3]=>[6,1,4,2,7,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[3,5,2,7,1,6,4]=>[4,6,1,7,2,5,3]=>[6,4,5,1,7,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,5,2,7,4,1,6]=>[6,1,4,7,2,5,3]=>[6,4,7,1,2,5,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,5,2,7,4,6,1]=>[1,6,4,7,2,5,3]=>[6,4,7,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,5,2,7,6,1,4]=>[4,1,6,7,2,5,3]=>[6,4,5,1,2,7,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,5,2,7,6,4,1]=>[1,4,6,7,2,5,3]=>[6,4,5,1,2,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,5,4,1,2,6,7]=>[7,6,2,1,4,5,3]=>[2,1,4,7,6,5,3]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[3,5,4,1,2,7,6]=>[6,7,2,1,4,5,3]=>[6,2,4,7,5,1,3]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[3,5,4,1,6,2,7]=>[7,2,6,1,4,5,3]=>[7,2,4,6,1,5,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,5,4,1,6,7,2]=>[2,7,6,1,4,5,3]=>[7,2,4,6,5,1,3]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[3,5,4,1,7,2,6]=>[6,2,7,1,4,5,3]=>[6,2,4,7,1,5,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,5,4,1,7,6,2]=>[2,6,7,1,4,5,3]=>[6,2,4,7,1,3,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[3,5,4,2,1,6,7]=>[7,6,1,2,4,5,3]=>[7,1,2,4,6,5,3]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[3,5,4,2,1,7,6]=>[6,7,1,2,4,5,3]=>[6,1,2,4,7,3,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[3,5,4,2,6,1,7]=>[7,1,6,2,4,5,3]=>[7,1,2,6,4,5,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[3,5,4,2,6,7,1]=>[1,7,6,2,4,5,3]=>[7,1,2,6,4,3,5]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[3,5,4,2,7,1,6]=>[6,1,7,2,4,5,3]=>[6,1,2,4,3,7,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[3,5,4,2,7,6,1]=>[1,6,7,2,4,5,3]=>[6,1,4,7,2,3,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,5,4,6,1,2,7]=>[7,2,1,6,4,5,3]=>[7,2,4,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,5,4,6,1,7,2]=>[2,7,1,6,4,5,3]=>[7,2,6,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,5,4,6,2,1,7]=>[7,1,2,6,4,5,3]=>[7,1,6,2,4,5,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[3,5,4,6,2,7,1]=>[1,7,2,6,4,5,3]=>[7,1,6,2,4,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,5,4,6,7,1,2]=>[2,1,7,6,4,5,3]=>[7,2,6,4,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,5,4,6,7,2,1]=>[1,2,7,6,4,5,3]=>[7,1,6,4,2,3,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,5,4,7,1,2,6]=>[6,2,1,7,4,5,3]=>[6,2,4,1,7,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,5,4,7,1,6,2]=>[2,6,1,7,4,5,3]=>[6,2,4,1,7,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,5,4,7,2,1,6]=>[6,1,2,7,4,5,3]=>[6,1,4,2,3,7,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,5,4,7,2,6,1]=>[1,6,2,7,4,5,3]=>[6,1,4,2,7,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,5,4,7,6,1,2]=>[2,1,6,7,4,5,3]=>[6,2,4,1,3,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,5,4,7,6,2,1]=>[1,2,6,7,4,5,3]=>[6,4,7,1,2,3,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,5,6,1,2,4,7]=>[7,4,2,1,6,5,3]=>[4,2,1,7,6,5,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[3,5,6,1,2,7,4]=>[4,7,2,1,6,5,3]=>[7,4,2,6,5,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,5,6,1,4,2,7]=>[7,2,4,1,6,5,3]=>[7,2,1,6,4,5,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[3,5,6,1,4,7,2]=>[2,7,4,1,6,5,3]=>[7,2,1,6,4,3,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,5,6,1,7,2,4]=>[4,2,7,1,6,5,3]=>[7,4,2,6,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,5,6,1,7,4,2]=>[2,4,7,1,6,5,3]=>[7,6,2,4,1,3,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[3,5,6,2,1,4,7]=>[7,4,1,2,6,5,3]=>[7,4,1,2,6,5,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[3,5,6,2,1,7,4]=>[4,7,1,2,6,5,3]=>[7,6,1,4,5,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,5,6,2,4,1,7]=>[7,1,4,2,6,5,3]=>[7,4,1,6,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,5,6,2,4,7,1]=>[1,7,4,2,6,5,3]=>[7,4,1,6,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,5,6,2,7,1,4]=>[4,1,7,2,6,5,3]=>[7,6,1,4,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,5,6,2,7,4,1]=>[1,4,7,2,6,5,3]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[3,5,6,4,1,2,7]=>[7,2,1,4,6,5,3]=>[7,2,1,4,6,5,3]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[3,5,6,4,1,7,2]=>[2,7,1,4,6,5,3]=>[7,6,2,4,5,1,3]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[3,5,6,4,2,1,7]=>[7,1,2,4,6,5,3]=>[7,6,1,2,4,5,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[3,5,6,4,2,7,1]=>[1,7,2,4,6,5,3]=>[7,6,1,2,4,3,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[3,5,6,4,7,1,2]=>[2,1,7,4,6,5,3]=>[7,6,2,4,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,5,6,4,7,2,1]=>[1,2,7,4,6,5,3]=>[7,6,1,4,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,5,6,7,1,2,4]=>[4,2,1,7,6,5,3]=>[7,4,2,1,6,5,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,5,6,7,1,4,2]=>[2,4,1,7,6,5,3]=>[7,6,2,1,4,3,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[3,5,6,7,2,1,4]=>[4,1,2,7,6,5,3]=>[7,6,4,1,2,5,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[3,5,6,7,2,4,1]=>[1,4,2,7,6,5,3]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[3,5,6,7,4,1,2]=>[2,1,4,7,6,5,3]=>[7,6,2,1,4,5,3]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[3,5,6,7,4,2,1]=>[1,2,4,7,6,5,3]=>[7,6,4,1,2,3,5]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[3,5,7,1,2,4,6]=>[6,4,2,1,7,5,3]=>[6,4,2,7,5,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[3,5,7,1,2,6,4]=>[4,6,2,1,7,5,3]=>[4,2,1,6,5,3,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,5,7,1,4,2,6]=>[6,2,4,1,7,5,3]=>[6,2,1,7,4,5,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[3,5,7,1,4,6,2]=>[2,6,4,1,7,5,3]=>[6,2,1,7,4,3,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,5,7,1,6,2,4]=>[4,2,6,1,7,5,3]=>[4,2,1,6,5,7,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[3,5,7,1,6,4,2]=>[2,4,6,1,7,5,3]=>[6,2,1,4,3,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,5,7,2,1,4,6]=>[6,4,1,2,7,5,3]=>[6,4,1,2,7,5,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[3,5,7,2,1,6,4]=>[4,6,1,2,7,5,3]=>[6,4,1,5,7,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,5,7,2,4,1,6]=>[6,1,4,2,7,5,3]=>[6,4,1,7,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,5,7,2,4,6,1]=>[1,6,4,2,7,5,3]=>[6,4,1,7,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,5,7,2,6,1,4]=>[4,1,6,2,7,5,3]=>[6,4,1,5,2,7,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,5,7,2,6,4,1]=>[1,4,6,2,7,5,3]=>[6,4,1,5,2,3,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,5,7,4,1,2,6]=>[6,2,1,4,7,5,3]=>[6,2,1,4,7,5,3]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[3,5,7,4,1,6,2]=>[2,6,1,4,7,5,3]=>[6,2,1,4,7,3,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,5,7,4,2,1,6]=>[6,1,2,4,7,5,3]=>[6,4,1,2,3,7,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[3,5,7,4,2,6,1]=>[1,6,2,4,7,5,3]=>[6,4,1,2,7,3,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[3,5,7,4,6,1,2]=>[2,1,6,4,7,5,3]=>[6,2,1,4,3,7,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,5,7,4,6,2,1]=>[1,2,6,4,7,5,3]=>[6,4,1,7,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,5,7,6,1,2,4]=>[4,2,1,6,7,5,3]=>[4,2,1,6,7,5,3]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[3,5,7,6,1,4,2]=>[2,4,1,6,7,5,3]=>[6,2,1,4,5,3,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,5,7,6,2,1,4]=>[4,1,2,6,7,5,3]=>[6,4,1,2,5,7,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[3,5,7,6,2,4,1]=>[1,4,2,6,7,5,3]=>[6,4,1,2,5,3,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[3,5,7,6,4,1,2]=>[2,1,4,6,7,5,3]=>[6,2,1,4,5,7,3]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[3,5,7,6,4,2,1]=>[1,2,4,6,7,5,3]=>[6,4,1,2,3,5,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[3,6,1,2,4,5,7]=>[7,5,4,2,1,6,3]=>[5,2,7,6,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,6,1,2,4,7,5]=>[5,7,4,2,1,6,3]=>[5,4,7,6,2,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,6,1,2,5,4,7]=>[7,4,5,2,1,6,3]=>[4,2,7,5,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,6,1,2,5,7,4]=>[4,7,5,2,1,6,3]=>[4,2,7,5,3,1,6]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,6,1,2,7,4,5]=>[5,4,7,2,1,6,3]=>[5,4,7,6,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[3,6,1,2,7,5,4]=>[4,5,7,2,1,6,3]=>[4,2,7,5,1,3,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,6,1,4,2,5,7]=>[7,5,2,4,1,6,3]=>[2,1,7,5,6,4,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[3,6,1,4,2,7,5]=>[5,7,2,4,1,6,3]=>[5,2,7,4,6,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,6,1,4,5,2,7]=>[7,2,5,4,1,6,3]=>[2,1,7,5,4,6,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[3,6,1,4,5,7,2]=>[2,7,5,4,1,6,3]=>[2,1,7,5,4,3,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[3,6,1,4,7,2,5]=>[5,2,7,4,1,6,3]=>[5,2,7,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,6,1,4,7,5,2]=>[2,5,7,4,1,6,3]=>[5,2,7,4,1,3,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,6,1,5,2,4,7]=>[7,4,2,5,1,6,3]=>[4,2,7,5,6,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,6,1,5,2,7,4]=>[4,7,2,5,1,6,3]=>[4,2,7,5,6,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,6,1,5,4,2,7]=>[7,2,4,5,1,6,3]=>[2,1,7,4,5,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[3,6,1,5,4,7,2]=>[2,7,4,5,1,6,3]=>[2,1,7,4,5,3,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,6,1,5,7,2,4]=>[4,2,7,5,1,6,3]=>[4,2,7,5,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,6,1,5,7,4,2]=>[2,4,7,5,1,6,3]=>[2,1,7,4,3,5,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,6,1,7,2,4,5]=>[5,4,2,7,1,6,3]=>[5,4,7,2,6,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[3,6,1,7,2,5,4]=>[4,5,2,7,1,6,3]=>[4,2,7,1,5,3,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,6,1,7,4,2,5]=>[5,2,4,7,1,6,3]=>[5,2,7,1,4,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,6,1,7,4,5,2]=>[2,5,4,7,1,6,3]=>[5,2,7,1,4,3,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,6,1,7,5,2,4]=>[4,2,5,7,1,6,3]=>[4,2,7,1,5,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,6,1,7,5,4,2]=>[2,4,5,7,1,6,3]=>[7,2,4,1,3,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,6,2,1,4,5,7]=>[7,5,4,1,2,6,3]=>[5,1,2,7,6,4,3]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[3,6,2,1,4,7,5]=>[5,7,4,1,2,6,3]=>[5,1,4,7,6,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[3,6,2,1,5,4,7]=>[7,4,5,1,2,6,3]=>[4,1,5,7,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,6,2,1,5,7,4]=>[4,7,5,1,2,6,3]=>[4,1,5,7,6,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[3,6,2,1,7,4,5]=>[5,4,7,1,2,6,3]=>[5,1,4,7,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,6,2,1,7,5,4]=>[4,5,7,1,2,6,3]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[3,6,2,4,1,5,7]=>[7,5,1,4,2,6,3]=>[5,1,7,2,6,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[3,6,2,4,1,7,5]=>[5,7,1,4,2,6,3]=>[5,1,7,4,6,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,6,2,4,5,1,7]=>[7,1,5,4,2,6,3]=>[5,1,7,6,2,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,6,2,4,5,7,1]=>[1,7,5,4,2,6,3]=>[5,1,7,6,4,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[3,6,2,4,7,1,5]=>[5,1,7,4,2,6,3]=>[5,1,7,4,2,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,6,2,4,7,5,1]=>[1,5,7,4,2,6,3]=>[5,4,7,6,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,6,2,5,1,4,7]=>[7,4,1,5,2,6,3]=>[4,1,5,2,7,6,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[3,6,2,5,1,7,4]=>[4,7,1,5,2,6,3]=>[4,1,7,5,6,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,6,2,5,4,1,7]=>[7,1,4,5,2,6,3]=>[4,1,7,2,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[3,6,2,5,4,7,1]=>[1,7,4,5,2,6,3]=>[4,1,7,2,5,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,6,2,5,7,1,4]=>[4,1,7,5,2,6,3]=>[4,1,7,5,2,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,6,2,5,7,4,1]=>[1,4,7,5,2,6,3]=>[4,1,7,5,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,6,2,7,1,4,5]=>[5,4,1,7,2,6,3]=>[5,1,4,2,7,6,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[3,6,2,7,1,5,4]=>[4,5,1,7,2,6,3]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,6,2,7,4,1,5]=>[5,1,4,7,2,6,3]=>[5,4,7,1,2,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,6,2,7,4,5,1]=>[1,5,4,7,2,6,3]=>[5,4,7,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,6,2,7,5,1,4]=>[4,1,5,7,2,6,3]=>[7,4,5,1,2,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,6,2,7,5,4,1]=>[1,4,5,7,2,6,3]=>[7,4,5,1,2,3,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,6,4,1,2,5,7]=>[7,5,2,1,4,6,3]=>[2,1,5,7,6,4,3]=>[[.,.],[[[.,[[.,.],.]],.],.]]
[3,6,4,1,2,7,5]=>[5,7,2,1,4,6,3]=>[5,2,4,7,6,1,3]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[3,6,4,1,5,2,7]=>[7,2,5,1,4,6,3]=>[7,2,5,6,1,4,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,6,4,1,5,7,2]=>[2,7,5,1,4,6,3]=>[7,2,5,6,4,1,3]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[3,6,4,1,7,2,5]=>[5,2,7,1,4,6,3]=>[5,2,4,7,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,6,4,1,7,5,2]=>[2,5,7,1,4,6,3]=>[5,2,4,7,1,3,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[3,6,4,2,1,5,7]=>[7,5,1,2,4,6,3]=>[7,1,2,5,6,4,3]=>[[.,.],[.,[[[.,[.,.]],.],.]]]
[3,6,4,2,1,7,5]=>[5,7,1,2,4,6,3]=>[5,1,2,4,7,3,6]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[3,6,4,2,5,1,7]=>[7,1,5,2,4,6,3]=>[7,1,2,5,4,6,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[3,6,4,2,5,7,1]=>[1,7,5,2,4,6,3]=>[7,1,2,5,4,3,6]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[3,6,4,2,7,1,5]=>[5,1,7,2,4,6,3]=>[5,1,2,4,3,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[3,6,4,2,7,5,1]=>[1,5,7,2,4,6,3]=>[5,1,4,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,6,4,5,1,2,7]=>[7,2,1,5,4,6,3]=>[7,2,5,1,6,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,6,4,5,1,7,2]=>[2,7,1,5,4,6,3]=>[7,2,5,4,6,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,6,4,5,2,1,7]=>[7,1,2,5,4,6,3]=>[7,1,5,2,4,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[3,6,4,5,2,7,1]=>[1,7,2,5,4,6,3]=>[7,1,5,2,4,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,6,4,5,7,1,2]=>[2,1,7,5,4,6,3]=>[7,2,5,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,6,4,5,7,2,1]=>[1,2,7,5,4,6,3]=>[7,1,5,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,6,4,7,1,2,5]=>[5,2,1,7,4,6,3]=>[5,2,4,1,7,6,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,6,4,7,1,5,2]=>[2,5,1,7,4,6,3]=>[5,2,4,1,7,3,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,6,4,7,2,1,5]=>[5,1,2,7,4,6,3]=>[5,1,4,2,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,6,4,7,2,5,1]=>[1,5,2,7,4,6,3]=>[5,1,4,2,7,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,6,4,7,5,1,2]=>[2,1,5,7,4,6,3]=>[5,2,4,1,3,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,6,4,7,5,2,1]=>[1,2,5,7,4,6,3]=>[5,4,7,1,2,3,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,6,5,1,2,4,7]=>[7,4,2,1,5,6,3]=>[4,2,5,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[3,6,5,1,2,7,4]=>[4,7,2,1,5,6,3]=>[4,2,5,7,6,1,3]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[3,6,5,1,4,2,7]=>[7,2,4,1,5,6,3]=>[2,1,4,7,5,6,3]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[3,6,5,1,4,7,2]=>[2,7,4,1,5,6,3]=>[2,1,4,7,5,3,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[3,6,5,1,7,2,4]=>[4,2,7,1,5,6,3]=>[4,2,5,7,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,6,5,1,7,4,2]=>[2,4,7,1,5,6,3]=>[7,2,4,5,1,3,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[3,6,5,2,1,4,7]=>[7,4,1,2,5,6,3]=>[4,1,2,5,7,6,3]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[3,6,5,2,1,7,4]=>[4,7,1,2,5,6,3]=>[7,1,4,5,6,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,6,5,2,4,1,7]=>[7,1,4,2,5,6,3]=>[4,1,2,7,5,6,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[3,6,5,2,4,7,1]=>[1,7,4,2,5,6,3]=>[4,1,2,7,5,3,6]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[3,6,5,2,7,1,4]=>[4,1,7,2,5,6,3]=>[7,1,4,5,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,6,5,2,7,4,1]=>[1,4,7,2,5,6,3]=>[7,1,4,5,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,6,5,4,1,2,7]=>[7,2,1,4,5,6,3]=>[2,1,4,5,7,6,3]=>[[.,.],[[.,[.,[[.,.],.]]],.]]
[3,6,5,4,1,7,2]=>[2,7,1,4,5,6,3]=>[7,2,4,5,6,1,3]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[3,6,5,4,2,1,7]=>[7,1,2,4,5,6,3]=>[7,1,2,4,5,6,3]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[3,6,5,4,2,7,1]=>[1,7,2,4,5,6,3]=>[7,1,2,4,5,3,6]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[3,6,5,4,7,1,2]=>[2,1,7,4,5,6,3]=>[7,2,4,5,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,6,5,4,7,2,1]=>[1,2,7,4,5,6,3]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[3,6,5,7,1,2,4]=>[4,2,1,7,5,6,3]=>[4,2,5,1,7,6,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,6,5,7,1,4,2]=>[2,4,1,7,5,6,3]=>[7,2,4,1,5,3,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,6,5,7,2,1,4]=>[4,1,2,7,5,6,3]=>[7,1,4,2,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[3,6,5,7,2,4,1]=>[1,4,2,7,5,6,3]=>[7,1,4,2,5,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,6,5,7,4,1,2]=>[2,1,4,7,5,6,3]=>[7,2,4,1,5,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,6,5,7,4,2,1]=>[1,2,4,7,5,6,3]=>[7,1,4,2,3,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[3,6,7,1,2,4,5]=>[5,4,2,1,7,6,3]=>[5,4,2,7,6,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[3,6,7,1,2,5,4]=>[4,5,2,1,7,6,3]=>[4,2,1,7,5,3,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,6,7,1,4,2,5]=>[5,2,4,1,7,6,3]=>[5,2,1,7,4,6,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[3,6,7,1,4,5,2]=>[2,5,4,1,7,6,3]=>[5,2,1,7,4,3,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,6,7,1,5,2,4]=>[4,2,5,1,7,6,3]=>[4,2,1,7,5,6,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[3,6,7,1,5,4,2]=>[2,4,5,1,7,6,3]=>[7,2,1,4,3,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,6,7,2,1,4,5]=>[5,4,1,2,7,6,3]=>[5,4,1,2,7,6,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[3,6,7,2,1,5,4]=>[4,5,1,2,7,6,3]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,6,7,2,4,1,5]=>[5,1,4,2,7,6,3]=>[5,4,1,7,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,6,7,2,4,5,1]=>[1,5,4,2,7,6,3]=>[5,4,1,7,6,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,6,7,2,5,1,4]=>[4,1,5,2,7,6,3]=>[7,4,1,5,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,6,7,2,5,4,1]=>[1,4,5,2,7,6,3]=>[7,4,1,5,2,3,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,6,7,4,1,2,5]=>[5,2,1,4,7,6,3]=>[5,2,1,4,7,6,3]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[3,6,7,4,1,5,2]=>[2,5,1,4,7,6,3]=>[5,2,1,4,7,3,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,6,7,4,2,1,5]=>[5,1,2,4,7,6,3]=>[5,4,1,2,3,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[3,6,7,4,2,5,1]=>[1,5,2,4,7,6,3]=>[5,4,1,2,7,3,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[3,6,7,4,5,1,2]=>[2,1,5,4,7,6,3]=>[5,2,1,4,3,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,6,7,4,5,2,1]=>[1,2,5,4,7,6,3]=>[5,4,1,7,2,3,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,6,7,5,1,2,4]=>[4,2,1,5,7,6,3]=>[4,2,1,5,7,6,3]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[3,6,7,5,1,4,2]=>[2,4,1,5,7,6,3]=>[7,2,1,4,5,3,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,6,7,5,2,1,4]=>[4,1,2,5,7,6,3]=>[7,4,1,2,5,6,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[3,6,7,5,2,4,1]=>[1,4,2,5,7,6,3]=>[7,4,1,2,5,3,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[3,6,7,5,4,1,2]=>[2,1,4,5,7,6,3]=>[7,2,1,4,5,6,3]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[3,6,7,5,4,2,1]=>[1,2,4,5,7,6,3]=>[7,4,1,2,3,5,6]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[3,7,1,2,4,5,6]=>[6,5,4,2,1,7,3]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,7,1,2,4,6,5]=>[5,6,4,2,1,7,3]=>[5,2,6,4,3,1,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,7,1,2,5,4,6]=>[6,4,5,2,1,7,3]=>[4,2,6,5,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,7,1,2,5,6,4]=>[4,6,5,2,1,7,3]=>[4,2,6,5,3,1,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,7,1,2,6,4,5]=>[5,4,6,2,1,7,3]=>[5,2,6,4,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,7,1,2,6,5,4]=>[4,5,6,2,1,7,3]=>[4,2,5,3,1,6,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,7,1,4,2,5,6]=>[6,5,2,4,1,7,3]=>[2,1,6,5,7,4,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[3,7,1,4,2,6,5]=>[5,6,2,4,1,7,3]=>[5,2,6,4,7,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,7,1,4,5,2,6]=>[6,2,5,4,1,7,3]=>[2,1,6,5,4,7,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[3,7,1,4,5,6,2]=>[2,6,5,4,1,7,3]=>[2,1,6,5,4,3,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[3,7,1,4,6,2,5]=>[5,2,6,4,1,7,3]=>[5,2,6,4,1,7,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,7,1,4,6,5,2]=>[2,5,6,4,1,7,3]=>[2,1,5,4,3,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,7,1,5,2,4,6]=>[6,4,2,5,1,7,3]=>[4,2,6,5,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,7,1,5,2,6,4]=>[4,6,2,5,1,7,3]=>[4,2,6,5,7,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,7,1,5,4,2,6]=>[6,2,4,5,1,7,3]=>[2,1,6,4,5,7,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[3,7,1,5,4,6,2]=>[2,6,4,5,1,7,3]=>[2,1,6,4,5,3,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,7,1,5,6,2,4]=>[4,2,6,5,1,7,3]=>[4,2,6,5,1,7,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,7,1,5,6,4,2]=>[2,4,6,5,1,7,3]=>[2,1,6,4,3,5,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,7,1,6,2,4,5]=>[5,4,2,6,1,7,3]=>[5,2,6,4,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,7,1,6,2,5,4]=>[4,5,2,6,1,7,3]=>[4,2,5,3,6,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,7,1,6,4,2,5]=>[5,2,4,6,1,7,3]=>[2,1,5,4,6,7,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[3,7,1,6,4,5,2]=>[2,5,4,6,1,7,3]=>[2,1,5,4,6,3,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,7,1,6,5,2,4]=>[4,2,5,6,1,7,3]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[2,1,4,3,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[3,7,2,1,4,5,6]=>[6,5,4,1,2,7,3]=>[6,1,2,7,5,4,3]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[3,7,2,1,4,6,5]=>[5,6,4,1,2,7,3]=>[5,1,6,7,4,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,7,2,1,5,4,6]=>[6,4,5,1,2,7,3]=>[4,1,6,7,2,5,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,7,2,1,5,6,4]=>[4,6,5,1,2,7,3]=>[4,1,6,7,5,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,7,2,1,6,4,5]=>[5,4,6,1,2,7,3]=>[5,1,6,7,2,4,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,7,2,1,6,5,4]=>[4,5,6,1,2,7,3]=>[4,1,5,6,2,3,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,2,4,1,5,6]=>[6,5,1,4,2,7,3]=>[6,1,7,2,5,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[3,7,2,4,1,6,5]=>[5,6,1,4,2,7,3]=>[5,1,6,4,7,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,7,2,4,5,1,6]=>[6,1,5,4,2,7,3]=>[6,1,7,5,2,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,7,2,4,5,6,1]=>[1,6,5,4,2,7,3]=>[6,1,7,5,4,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[3,7,2,4,6,1,5]=>[5,1,6,4,2,7,3]=>[5,1,6,4,2,7,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,7,2,4,6,5,1]=>[1,5,6,4,2,7,3]=>[5,1,6,4,2,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,7,2,5,1,4,6]=>[6,4,1,5,2,7,3]=>[4,1,6,2,7,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[3,7,2,5,1,6,4]=>[4,6,1,5,2,7,3]=>[4,1,6,5,7,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,7,2,5,4,1,6]=>[6,1,4,5,2,7,3]=>[4,1,6,2,5,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[3,7,2,5,4,6,1]=>[1,6,4,5,2,7,3]=>[4,1,6,2,5,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,2,5,6,1,4]=>[4,1,6,5,2,7,3]=>[4,1,6,5,2,7,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,7,2,5,6,4,1]=>[1,4,6,5,2,7,3]=>[4,1,6,5,2,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,7,2,6,1,4,5]=>[5,4,1,6,2,7,3]=>[5,1,6,2,7,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[3,7,2,6,1,5,4]=>[4,5,1,6,2,7,3]=>[4,1,5,2,6,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,2,6,4,1,5]=>[5,1,4,6,2,7,3]=>[5,1,6,2,4,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[3,7,2,6,4,5,1]=>[1,5,4,6,2,7,3]=>[5,1,6,2,4,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,2,6,5,1,4]=>[4,1,5,6,2,7,3]=>[4,1,5,2,6,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[3,7,2,6,5,4,1]=>[1,4,5,6,2,7,3]=>[4,1,5,2,3,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[3,7,4,1,2,5,6]=>[6,5,2,1,4,7,3]=>[2,1,6,7,5,4,3]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[3,7,4,1,2,6,5]=>[5,6,2,1,4,7,3]=>[5,2,6,7,4,1,3]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[3,7,4,1,5,2,6]=>[6,2,5,1,4,7,3]=>[6,2,5,7,1,4,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,7,4,1,5,6,2]=>[2,6,5,1,4,7,3]=>[6,2,5,7,4,1,3]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[3,7,4,1,6,2,5]=>[5,2,6,1,4,7,3]=>[5,2,6,7,1,4,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,7,4,1,6,5,2]=>[2,5,6,1,4,7,3]=>[5,2,4,6,1,3,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[3,7,4,2,1,5,6]=>[6,5,1,2,4,7,3]=>[6,1,2,5,7,4,3]=>[[.,.],[.,[[[.,[.,.]],.],.]]]
[3,7,4,2,1,6,5]=>[5,6,1,2,4,7,3]=>[5,1,4,6,7,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,7,4,2,5,1,6]=>[6,1,5,2,4,7,3]=>[6,1,2,5,4,7,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[3,7,4,2,5,6,1]=>[1,6,5,2,4,7,3]=>[6,1,2,5,4,3,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[3,7,4,2,6,1,5]=>[5,1,6,2,4,7,3]=>[5,1,4,6,2,7,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,7,4,2,6,5,1]=>[1,5,6,2,4,7,3]=>[5,1,4,6,2,3,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,4,5,1,2,6]=>[6,2,1,5,4,7,3]=>[6,2,5,1,7,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,7,4,5,1,6,2]=>[2,6,1,5,4,7,3]=>[6,2,5,4,7,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,7,4,5,2,1,6]=>[6,1,2,5,4,7,3]=>[6,1,5,2,4,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[3,7,4,5,2,6,1]=>[1,6,2,5,4,7,3]=>[6,1,5,2,4,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,4,5,6,1,2]=>[2,1,6,5,4,7,3]=>[6,2,5,4,1,7,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,7,4,5,6,2,1]=>[1,2,6,5,4,7,3]=>[6,1,5,4,2,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,7,4,6,1,2,5]=>[5,2,1,6,4,7,3]=>[5,2,6,1,7,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,7,4,6,1,5,2]=>[2,5,1,6,4,7,3]=>[5,2,4,1,6,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,7,4,6,2,1,5]=>[5,1,2,6,4,7,3]=>[5,1,4,2,6,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[3,7,4,6,2,5,1]=>[1,5,2,6,4,7,3]=>[5,1,4,2,6,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,4,6,5,1,2]=>[2,1,5,6,4,7,3]=>[5,2,4,1,6,7,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,7,4,6,5,2,1]=>[1,2,5,6,4,7,3]=>[5,1,4,2,3,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[3,7,5,1,2,4,6]=>[6,4,2,1,5,7,3]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[3,7,5,1,2,6,4]=>[4,6,2,1,5,7,3]=>[4,2,6,7,5,1,3]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[3,7,5,1,4,2,6]=>[6,2,4,1,5,7,3]=>[2,1,4,6,5,7,3]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[3,7,5,1,4,6,2]=>[2,6,4,1,5,7,3]=>[2,1,4,6,5,3,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[3,7,5,1,6,2,4]=>[4,2,6,1,5,7,3]=>[4,2,6,7,1,5,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,7,5,1,6,4,2]=>[2,4,6,1,5,7,3]=>[6,2,4,5,1,3,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[3,7,5,2,1,4,6]=>[6,4,1,2,5,7,3]=>[4,1,2,6,7,5,3]=>[[.,.],[.,[[[.,[.,.]],.],.]]]
[3,7,5,2,1,6,4]=>[4,6,1,2,5,7,3]=>[6,1,4,5,7,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,7,5,2,4,1,6]=>[6,1,4,2,5,7,3]=>[4,1,2,6,5,7,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[3,7,5,2,4,6,1]=>[1,6,4,2,5,7,3]=>[4,1,2,6,5,3,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[3,7,5,2,6,1,4]=>[4,1,6,2,5,7,3]=>[6,1,4,5,2,7,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,7,5,2,6,4,1]=>[1,4,6,2,5,7,3]=>[6,1,4,5,2,3,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,5,4,1,2,6]=>[6,2,1,4,5,7,3]=>[2,1,4,6,7,5,3]=>[[.,.],[[.,[[.,[.,.]],.]],.]]
[3,7,5,4,1,6,2]=>[2,6,1,4,5,7,3]=>[6,2,4,5,7,1,3]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[3,7,5,4,2,1,6]=>[6,1,2,4,5,7,3]=>[6,1,2,4,5,7,3]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[3,7,5,4,2,6,1]=>[1,6,2,4,5,7,3]=>[6,1,2,4,5,3,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[3,7,5,4,6,1,2]=>[2,1,6,4,5,7,3]=>[6,2,4,5,1,7,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,7,5,4,6,2,1]=>[1,2,6,4,5,7,3]=>[6,1,2,4,3,5,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[3,7,5,6,1,2,4]=>[4,2,1,6,5,7,3]=>[4,2,6,1,7,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,7,5,6,1,4,2]=>[2,4,1,6,5,7,3]=>[6,2,4,1,5,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,7,5,6,2,1,4]=>[4,1,2,6,5,7,3]=>[6,1,4,2,5,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[3,7,5,6,2,4,1]=>[1,4,2,6,5,7,3]=>[6,1,4,2,5,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,5,6,4,1,2]=>[2,1,4,6,5,7,3]=>[6,2,4,1,5,7,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,7,5,6,4,2,1]=>[1,2,4,6,5,7,3]=>[6,1,4,2,3,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[3,7,6,1,2,4,5]=>[5,4,2,1,6,7,3]=>[5,2,6,7,4,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[3,7,6,1,2,5,4]=>[4,5,2,1,6,7,3]=>[4,2,5,6,3,1,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[3,7,6,1,4,2,5]=>[5,2,4,1,6,7,3]=>[2,1,5,6,4,7,3]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[3,7,6,1,4,5,2]=>[2,5,4,1,6,7,3]=>[2,1,5,6,4,3,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,7,6,1,5,2,4]=>[4,2,5,1,6,7,3]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,7,6,1,5,4,2]=>[2,4,5,1,6,7,3]=>[2,1,4,5,3,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,6,2,1,4,5]=>[5,4,1,2,6,7,3]=>[5,1,2,6,7,4,3]=>[[.,.],[.,[[[.,[.,.]],.],.]]]
[3,7,6,2,1,5,4]=>[4,5,1,2,6,7,3]=>[4,1,5,6,7,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,7,6,2,4,1,5]=>[5,1,4,2,6,7,3]=>[5,1,2,6,4,7,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[3,7,6,2,4,5,1]=>[1,5,4,2,6,7,3]=>[5,1,2,6,4,3,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[3,7,6,2,5,1,4]=>[4,1,5,2,6,7,3]=>[4,1,5,6,2,7,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,7,6,2,5,4,1]=>[1,4,5,2,6,7,3]=>[4,1,2,5,3,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[3,7,6,4,1,2,5]=>[5,2,1,4,6,7,3]=>[2,1,5,6,7,4,3]=>[[.,.],[[[.,[.,[.,.]]],.],.]]
[3,7,6,4,1,5,2]=>[2,5,1,4,6,7,3]=>[5,2,4,6,7,1,3]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[3,7,6,4,2,1,5]=>[5,1,2,4,6,7,3]=>[5,1,2,4,6,7,3]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[3,7,6,4,2,5,1]=>[1,5,2,4,6,7,3]=>[5,1,2,4,6,3,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[3,7,6,4,5,1,2]=>[2,1,5,4,6,7,3]=>[5,2,4,6,1,7,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,7,6,4,5,2,1]=>[1,2,5,4,6,7,3]=>[5,1,2,4,3,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[3,7,6,5,1,2,4]=>[4,2,1,5,6,7,3]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,7,6,5,1,4,2]=>[2,4,1,5,6,7,3]=>[2,1,4,5,6,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,7,6,5,2,1,4]=>[4,1,2,5,6,7,3]=>[4,1,2,5,6,7,3]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[3,7,6,5,2,4,1]=>[1,4,2,5,6,7,3]=>[4,1,2,5,6,3,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[3,7,6,5,4,1,2]=>[2,1,4,5,6,7,3]=>[2,1,4,5,6,7,3]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[3,7,6,5,4,2,1]=>[1,2,4,5,6,7,3]=>[4,1,2,3,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[4,1,2,3,5,6,7]=>[7,6,5,3,2,1,4]=>[3,7,6,5,4,2,1]=>[[[.,[[[[.,.],.],.],.]],.],.]
[4,1,2,3,5,7,6]=>[6,7,5,3,2,1,4]=>[6,7,5,3,2,1,4]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[4,1,2,3,6,5,7]=>[7,5,6,3,2,1,4]=>[5,7,6,3,2,4,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[4,1,2,3,6,7,5]=>[5,7,6,3,2,1,4]=>[5,7,6,3,2,1,4]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[4,1,2,3,7,5,6]=>[6,5,7,3,2,1,4]=>[6,7,5,3,2,4,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[4,1,2,3,7,6,5]=>[5,6,7,3,2,1,4]=>[5,6,3,2,1,4,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[4,1,2,5,3,6,7]=>[7,6,3,5,2,1,4]=>[3,7,6,2,5,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,1,2,5,3,7,6]=>[6,7,3,5,2,1,4]=>[6,7,3,2,5,1,4]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,1,2,5,6,3,7]=>[7,3,6,5,2,1,4]=>[3,7,6,5,2,4,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[4,1,2,5,6,7,3]=>[3,7,6,5,2,1,4]=>[3,7,6,5,2,1,4]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[4,1,2,5,7,3,6]=>[6,3,7,5,2,1,4]=>[6,7,3,2,1,5,4]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,1,2,5,7,6,3]=>[3,6,7,5,2,1,4]=>[3,6,5,2,1,4,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[4,1,2,6,3,5,7]=>[7,5,3,6,2,1,4]=>[5,7,6,3,4,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[4,1,2,6,3,7,5]=>[5,7,3,6,2,1,4]=>[5,7,3,2,6,1,4]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,1,2,6,5,3,7]=>[7,3,5,6,2,1,4]=>[3,7,5,2,4,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[4,1,2,6,5,7,3]=>[3,7,5,6,2,1,4]=>[3,7,5,2,4,1,6]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,1,2,6,7,3,5]=>[5,3,7,6,2,1,4]=>[5,7,3,2,1,6,4]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,1,2,6,7,5,3]=>[3,5,7,6,2,1,4]=>[3,7,5,2,1,4,6]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[4,1,2,7,3,5,6]=>[6,5,3,7,2,1,4]=>[6,7,5,3,4,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[4,1,2,7,3,6,5]=>[5,6,3,7,2,1,4]=>[5,6,3,2,4,1,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,1,2,7,5,3,6]=>[6,3,5,7,2,1,4]=>[3,6,5,2,4,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[4,1,2,7,5,6,3]=>[3,6,5,7,2,1,4]=>[3,6,5,2,4,1,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,1,2,7,6,3,5]=>[5,3,6,7,2,1,4]=>[5,6,3,2,4,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[4,1,2,7,6,5,3]=>[3,5,6,7,2,1,4]=>[3,5,2,1,4,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[4,1,3,2,5,6,7]=>[7,6,5,2,3,1,4]=>[2,7,3,6,5,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[4,1,3,2,5,7,6]=>[6,7,5,2,3,1,4]=>[2,6,5,7,3,1,4]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[4,1,3,2,6,5,7]=>[7,5,6,2,3,1,4]=>[2,7,5,6,3,4,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[4,1,3,2,6,7,5]=>[5,7,6,2,3,1,4]=>[2,7,5,6,3,1,4]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[4,1,3,2,7,5,6]=>[6,5,7,2,3,1,4]=>[2,6,5,7,3,4,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[4,1,3,2,7,6,5]=>[5,6,7,2,3,1,4]=>[5,6,2,7,1,3,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,1,3,5,2,6,7]=>[7,6,2,5,3,1,4]=>[2,7,6,3,5,4,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[4,1,3,5,2,7,6]=>[6,7,2,5,3,1,4]=>[2,6,5,3,7,1,4]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[4,1,3,5,6,2,7]=>[7,2,6,5,3,1,4]=>[2,7,6,5,3,4,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[4,1,3,5,6,7,2]=>[2,7,6,5,3,1,4]=>[2,7,6,5,3,1,4]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[4,1,3,5,7,2,6]=>[6,2,7,5,3,1,4]=>[2,6,5,3,1,7,4]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,1,3,5,7,6,2]=>[2,6,7,5,3,1,4]=>[6,7,5,2,1,3,4]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[4,1,3,6,2,5,7]=>[7,5,2,6,3,1,4]=>[2,7,5,3,6,4,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[4,1,3,6,2,7,5]=>[5,7,2,6,3,1,4]=>[2,7,5,3,6,1,4]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[4,1,3,6,5,2,7]=>[7,2,5,6,3,1,4]=>[5,7,6,2,3,4,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[4,1,3,6,5,7,2]=>[2,7,5,6,3,1,4]=>[5,7,6,2,3,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,1,3,6,7,2,5]=>[5,2,7,6,3,1,4]=>[2,7,5,3,1,6,4]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,1,3,6,7,5,2]=>[2,5,7,6,3,1,4]=>[5,7,6,2,1,3,4]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[4,1,3,7,2,5,6]=>[6,5,2,7,3,1,4]=>[2,6,5,3,7,4,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[4,1,3,7,2,6,5]=>[5,6,2,7,3,1,4]=>[5,6,2,1,7,3,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,1,3,7,5,2,6]=>[6,2,5,7,3,1,4]=>[6,7,5,2,3,4,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[4,1,3,7,5,6,2]=>[2,6,5,7,3,1,4]=>[6,7,5,2,3,1,4]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,1,3,7,6,2,5]=>[5,2,6,7,3,1,4]=>[5,6,2,1,3,7,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[4,1,3,7,6,5,2]=>[2,5,6,7,3,1,4]=>[5,6,2,1,3,4,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[4,1,5,2,3,6,7]=>[7,6,3,2,5,1,4]=>[3,7,2,6,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,1,5,2,3,7,6]=>[6,7,3,2,5,1,4]=>[6,7,3,5,2,1,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[4,1,5,2,6,3,7]=>[7,3,6,2,5,1,4]=>[3,7,2,6,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,1,5,2,6,7,3]=>[3,7,6,2,5,1,4]=>[3,7,2,6,5,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,1,5,2,7,3,6]=>[6,3,7,2,5,1,4]=>[6,7,3,5,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[4,1,5,2,7,6,3]=>[3,6,7,2,5,1,4]=>[3,6,2,5,1,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,1,5,3,2,6,7]=>[7,6,2,3,5,1,4]=>[2,7,1,3,6,5,4]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[4,1,5,3,2,7,6]=>[6,7,2,3,5,1,4]=>[6,7,2,3,5,1,4]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[4,1,5,3,6,2,7]=>[7,2,6,3,5,1,4]=>[2,7,1,6,3,5,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,1,5,3,6,7,2]=>[2,7,6,3,5,1,4]=>[2,7,1,6,5,3,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,1,5,3,7,2,6]=>[6,2,7,3,5,1,4]=>[6,7,2,3,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,1,5,3,7,6,2]=>[2,6,7,3,5,1,4]=>[6,7,2,5,1,3,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,1,5,6,2,3,7]=>[7,3,2,6,5,1,4]=>[3,7,2,1,6,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,1,5,6,2,7,3]=>[3,7,2,6,5,1,4]=>[3,7,6,2,5,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,1,5,6,3,2,7]=>[7,2,3,6,5,1,4]=>[2,7,6,1,3,5,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,1,5,6,3,7,2]=>[2,7,3,6,5,1,4]=>[2,7,6,1,5,3,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,1,5,6,7,2,3]=>[3,2,7,6,5,1,4]=>[3,7,6,2,1,5,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,1,5,6,7,3,2]=>[2,3,7,6,5,1,4]=>[2,7,6,5,1,3,4]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[4,1,5,7,2,3,6]=>[6,3,2,7,5,1,4]=>[6,7,3,2,5,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[4,1,5,7,2,6,3]=>[3,6,2,7,5,1,4]=>[3,6,2,1,5,4,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,1,5,7,3,2,6]=>[6,2,3,7,5,1,4]=>[6,7,2,1,3,5,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[4,1,5,7,3,6,2]=>[2,6,3,7,5,1,4]=>[6,7,2,1,5,3,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,1,5,7,6,2,3]=>[3,2,6,7,5,1,4]=>[3,6,2,1,5,7,4]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[4,1,5,7,6,3,2]=>[2,3,6,7,5,1,4]=>[2,6,5,1,3,4,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[4,1,6,2,3,5,7]=>[7,5,3,2,6,1,4]=>[5,7,3,6,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[4,1,6,2,3,7,5]=>[5,7,3,2,6,1,4]=>[5,7,3,6,2,1,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[4,1,6,2,5,3,7]=>[7,3,5,2,6,1,4]=>[3,7,2,5,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,1,6,2,5,7,3]=>[3,7,5,2,6,1,4]=>[3,7,2,5,4,1,6]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,1,6,2,7,3,5]=>[5,3,7,2,6,1,4]=>[5,7,3,6,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[4,1,6,2,7,5,3]=>[3,5,7,2,6,1,4]=>[3,7,2,5,1,4,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,1,6,3,2,5,7]=>[7,5,2,3,6,1,4]=>[5,7,2,3,6,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,1,6,3,2,7,5]=>[5,7,2,3,6,1,4]=>[5,7,2,3,6,1,4]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[4,1,6,3,5,2,7]=>[7,2,5,3,6,1,4]=>[5,7,2,6,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,1,6,3,5,7,2]=>[2,7,5,3,6,1,4]=>[5,7,2,6,3,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,1,6,3,7,2,5]=>[5,2,7,3,6,1,4]=>[5,7,2,3,1,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,1,6,3,7,5,2]=>[2,5,7,3,6,1,4]=>[5,7,2,6,1,3,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,1,6,5,2,3,7]=>[7,3,2,5,6,1,4]=>[3,7,2,5,6,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,1,6,5,2,7,3]=>[3,7,2,5,6,1,4]=>[3,7,2,5,6,1,4]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[4,1,6,5,3,2,7]=>[7,2,3,5,6,1,4]=>[2,7,1,3,5,6,4]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,1,6,5,3,7,2]=>[2,7,3,5,6,1,4]=>[2,7,1,3,5,4,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,1,6,5,7,2,3]=>[3,2,7,5,6,1,4]=>[3,7,2,5,1,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,1,6,5,7,3,2]=>[2,3,7,5,6,1,4]=>[2,7,1,5,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,1,6,7,2,3,5]=>[5,3,2,7,6,1,4]=>[5,7,3,2,6,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[4,1,6,7,2,5,3]=>[3,5,2,7,6,1,4]=>[3,7,2,1,5,4,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,1,6,7,3,2,5]=>[5,2,3,7,6,1,4]=>[5,7,2,1,3,6,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[4,1,6,7,3,5,2]=>[2,5,3,7,6,1,4]=>[5,7,2,1,6,3,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,1,6,7,5,2,3]=>[3,2,5,7,6,1,4]=>[3,7,2,1,5,6,4]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[4,1,6,7,5,3,2]=>[2,3,5,7,6,1,4]=>[2,7,5,1,3,4,6]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[4,1,7,2,3,5,6]=>[6,5,3,2,7,1,4]=>[6,7,3,5,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[4,1,7,2,3,6,5]=>[5,6,3,2,7,1,4]=>[5,6,3,4,2,1,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[4,1,7,2,5,3,6]=>[6,3,5,2,7,1,4]=>[3,6,2,5,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,1,7,2,5,6,3]=>[3,6,5,2,7,1,4]=>[3,6,2,5,4,1,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,1,7,2,6,3,5]=>[5,3,6,2,7,1,4]=>[5,6,3,4,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[4,1,7,2,6,5,3]=>[3,5,6,2,7,1,4]=>[3,5,2,4,1,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,1,7,3,2,5,6]=>[6,5,2,3,7,1,4]=>[6,7,2,3,5,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,1,7,3,2,6,5]=>[5,6,2,3,7,1,4]=>[5,6,2,3,7,1,4]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[4,1,7,3,5,2,6]=>[6,2,5,3,7,1,4]=>[6,7,2,5,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,1,7,3,5,6,2]=>[2,6,5,3,7,1,4]=>[6,7,2,5,3,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,1,7,3,6,2,5]=>[5,2,6,3,7,1,4]=>[5,6,2,3,1,7,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,1,7,3,6,5,2]=>[2,5,6,3,7,1,4]=>[5,6,2,3,1,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,1,7,5,2,3,6]=>[6,3,2,5,7,1,4]=>[3,6,2,5,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,1,7,5,2,6,3]=>[3,6,2,5,7,1,4]=>[3,6,2,5,7,1,4]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[4,1,7,5,3,2,6]=>[6,2,3,5,7,1,4]=>[2,6,1,3,5,7,4]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,1,7,5,3,6,2]=>[2,6,3,5,7,1,4]=>[2,6,1,3,5,4,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,1,7,5,6,2,3]=>[3,2,6,5,7,1,4]=>[3,6,2,5,1,7,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,1,7,5,6,3,2]=>[2,3,6,5,7,1,4]=>[2,6,1,5,3,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,1,7,6,2,3,5]=>[5,3,2,6,7,1,4]=>[5,6,3,4,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[4,1,7,6,2,5,3]=>[3,5,2,6,7,1,4]=>[3,5,2,4,6,1,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[4,1,7,6,3,2,5]=>[5,2,3,6,7,1,4]=>[5,6,2,3,4,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,1,7,6,3,5,2]=>[2,5,3,6,7,1,4]=>[5,6,2,3,4,1,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[4,1,7,6,5,2,3]=>[3,2,5,6,7,1,4]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,1,7,6,5,3,2]=>[2,3,5,6,7,1,4]=>[2,5,1,3,4,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[4,2,1,3,5,6,7]=>[7,6,5,3,1,2,4]=>[1,3,7,6,5,4,2]=>[.,[[.,[[[[.,.],.],.],.]],.]]
[4,2,1,3,5,7,6]=>[6,7,5,3,1,2,4]=>[1,6,7,5,3,2,4]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[4,2,1,3,6,5,7]=>[7,5,6,3,1,2,4]=>[1,5,7,6,3,4,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[4,2,1,3,6,7,5]=>[5,7,6,3,1,2,4]=>[1,5,7,6,3,2,4]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[4,2,1,3,7,5,6]=>[6,5,7,3,1,2,4]=>[1,6,7,5,3,4,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[4,2,1,3,7,6,5]=>[5,6,7,3,1,2,4]=>[5,6,7,3,1,2,4]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[4,2,1,5,3,6,7]=>[7,6,3,5,1,2,4]=>[1,3,7,2,6,5,4]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[4,2,1,5,3,7,6]=>[6,7,3,5,1,2,4]=>[1,6,7,3,5,2,4]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,2,1,5,6,3,7]=>[7,3,6,5,1,2,4]=>[1,3,7,6,2,5,4]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[4,2,1,5,6,7,3]=>[3,7,6,5,1,2,4]=>[1,3,7,6,5,2,4]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[4,2,1,5,7,3,6]=>[6,3,7,5,1,2,4]=>[1,6,7,3,2,5,4]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[4,2,1,5,7,6,3]=>[3,6,7,5,1,2,4]=>[3,6,7,5,1,2,4]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[4,2,1,6,3,5,7]=>[7,5,3,6,1,2,4]=>[1,5,7,3,6,4,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[4,2,1,6,3,7,5]=>[5,7,3,6,1,2,4]=>[1,5,7,3,6,2,4]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,2,1,6,5,3,7]=>[7,3,5,6,1,2,4]=>[3,5,7,1,2,6,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,2,1,6,5,7,3]=>[3,7,5,6,1,2,4]=>[3,5,7,1,6,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,2,1,6,7,3,5]=>[5,3,7,6,1,2,4]=>[1,5,7,3,2,6,4]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[4,2,1,6,7,5,3]=>[3,5,7,6,1,2,4]=>[3,5,7,6,1,2,4]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[4,2,1,7,3,5,6]=>[6,5,3,7,1,2,4]=>[1,6,7,3,5,4,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[4,2,1,7,3,6,5]=>[5,6,3,7,1,2,4]=>[5,6,7,1,3,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,2,1,7,5,3,6]=>[6,3,5,7,1,2,4]=>[3,6,7,1,2,5,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,2,1,7,5,6,3]=>[3,6,5,7,1,2,4]=>[3,6,7,1,5,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,2,1,7,6,3,5]=>[5,3,6,7,1,2,4]=>[5,6,7,1,3,4,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,2,1,7,6,5,3]=>[3,5,6,7,1,2,4]=>[3,5,6,1,2,4,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[4,2,3,1,5,6,7]=>[7,6,5,1,3,2,4]=>[1,7,3,6,5,4,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[4,2,3,1,5,7,6]=>[6,7,5,1,3,2,4]=>[1,6,5,7,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,2,3,1,6,5,7]=>[7,5,6,1,3,2,4]=>[1,7,5,6,3,4,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,2,3,1,6,7,5]=>[5,7,6,1,3,2,4]=>[1,7,5,6,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,2,3,1,7,5,6]=>[6,5,7,1,3,2,4]=>[1,6,5,7,3,4,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,2,3,1,7,6,5]=>[5,6,7,1,3,2,4]=>[5,6,3,7,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,2,3,5,1,6,7]=>[7,6,1,5,3,2,4]=>[1,7,6,3,5,4,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]
[4,2,3,5,1,7,6]=>[6,7,1,5,3,2,4]=>[1,6,5,3,7,2,4]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,2,3,5,6,1,7]=>[7,1,6,5,3,2,4]=>[1,7,6,5,3,4,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]
[4,2,3,5,6,7,1]=>[1,7,6,5,3,2,4]=>[1,7,6,5,3,2,4]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[4,2,3,5,7,1,6]=>[6,1,7,5,3,2,4]=>[1,6,5,3,2,7,4]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[4,2,3,5,7,6,1]=>[1,6,7,5,3,2,4]=>[6,7,5,3,1,2,4]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[4,2,3,6,1,5,7]=>[7,5,1,6,3,2,4]=>[1,7,5,3,6,4,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]
[4,2,3,6,1,7,5]=>[5,7,1,6,3,2,4]=>[1,7,5,3,6,2,4]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,2,3,6,5,1,7]=>[7,1,5,6,3,2,4]=>[5,7,6,1,3,4,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[4,2,3,6,5,7,1]=>[1,7,5,6,3,2,4]=>[5,7,6,1,3,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,2,3,6,7,1,5]=>[5,1,7,6,3,2,4]=>[1,7,5,3,2,6,4]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[4,2,3,6,7,5,1]=>[1,5,7,6,3,2,4]=>[5,7,6,3,1,2,4]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[4,2,3,7,1,5,6]=>[6,5,1,7,3,2,4]=>[1,6,5,3,7,4,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]
[4,2,3,7,1,6,5]=>[5,6,1,7,3,2,4]=>[5,6,3,1,7,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,2,3,7,5,1,6]=>[6,1,5,7,3,2,4]=>[6,7,5,1,3,4,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[4,2,3,7,5,6,1]=>[1,6,5,7,3,2,4]=>[6,7,5,1,3,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,2,3,7,6,1,5]=>[5,1,6,7,3,2,4]=>[5,6,3,1,2,7,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[4,2,3,7,6,5,1]=>[1,5,6,7,3,2,4]=>[5,6,3,1,2,4,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[4,2,5,1,3,6,7]=>[7,6,3,1,5,2,4]=>[1,3,2,7,6,5,4]=>[.,[[.,.],[[[[.,.],.],.],.]]]
[4,2,5,1,3,7,6]=>[6,7,3,1,5,2,4]=>[1,6,3,7,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,2,5,1,6,3,7]=>[7,3,6,1,5,2,4]=>[1,7,3,6,2,5,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,2,5,1,6,7,3]=>[3,7,6,1,5,2,4]=>[1,7,3,6,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,2,5,1,7,3,6]=>[6,3,7,1,5,2,4]=>[1,6,3,7,2,5,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,2,5,1,7,6,3]=>[3,6,7,1,5,2,4]=>[3,6,5,7,1,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,2,5,3,1,6,7]=>[7,6,1,3,5,2,4]=>[3,7,1,2,6,5,4]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[4,2,5,3,1,7,6]=>[6,7,1,3,5,2,4]=>[6,7,1,3,5,2,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,2,5,3,6,1,7]=>[7,1,6,3,5,2,4]=>[3,7,1,6,2,5,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,5,3,6,7,1]=>[1,7,6,3,5,2,4]=>[3,7,1,6,5,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,2,5,3,7,1,6]=>[6,1,7,3,5,2,4]=>[6,7,1,3,2,5,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,5,3,7,6,1]=>[1,6,7,3,5,2,4]=>[6,7,3,5,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,2,5,6,1,3,7]=>[7,3,1,6,5,2,4]=>[1,7,3,2,6,5,4]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[4,2,5,6,1,7,3]=>[3,7,1,6,5,2,4]=>[1,7,6,3,5,2,4]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,2,5,6,3,1,7]=>[7,1,3,6,5,2,4]=>[3,7,6,1,2,5,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,2,5,6,3,7,1]=>[1,7,3,6,5,2,4]=>[3,7,6,1,5,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,2,5,6,7,1,3]=>[3,1,7,6,5,2,4]=>[1,7,6,3,2,5,4]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[4,2,5,6,7,3,1]=>[1,3,7,6,5,2,4]=>[3,7,6,5,1,2,4]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[4,2,5,7,1,3,6]=>[6,3,1,7,5,2,4]=>[1,6,3,2,7,5,4]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[4,2,5,7,1,6,3]=>[3,6,1,7,5,2,4]=>[3,6,5,1,7,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,2,5,7,3,1,6]=>[6,1,3,7,5,2,4]=>[6,7,3,1,2,5,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[4,2,5,7,3,6,1]=>[1,6,3,7,5,2,4]=>[6,7,3,1,5,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,2,5,7,6,1,3]=>[3,1,6,7,5,2,4]=>[3,6,5,1,2,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,2,5,7,6,3,1]=>[1,3,6,7,5,2,4]=>[3,6,5,1,2,4,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[4,2,6,1,3,5,7]=>[7,5,3,1,6,2,4]=>[1,5,3,7,6,4,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[4,2,6,1,3,7,5]=>[5,7,3,1,6,2,4]=>[1,5,3,7,6,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,2,6,1,5,3,7]=>[7,3,5,1,6,2,4]=>[3,5,1,7,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,6,1,5,7,3]=>[3,7,5,1,6,2,4]=>[3,5,1,7,6,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,2,6,1,7,3,5]=>[5,3,7,1,6,2,4]=>[1,5,3,7,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,2,6,1,7,5,3]=>[3,5,7,1,6,2,4]=>[3,7,5,6,1,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,2,6,3,1,5,7]=>[7,5,1,3,6,2,4]=>[5,7,1,3,6,4,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[4,2,6,3,1,7,5]=>[5,7,1,3,6,2,4]=>[5,7,1,3,6,2,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,2,6,3,5,1,7]=>[7,1,5,3,6,2,4]=>[5,7,1,6,3,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[4,2,6,3,5,7,1]=>[1,7,5,3,6,2,4]=>[5,7,1,6,3,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,2,6,3,7,1,5]=>[5,1,7,3,6,2,4]=>[5,7,1,3,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,6,3,7,5,1]=>[1,5,7,3,6,2,4]=>[5,7,3,6,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,2,6,5,1,3,7]=>[7,3,1,5,6,2,4]=>[3,5,1,2,7,6,4]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[4,2,6,5,1,7,3]=>[3,7,1,5,6,2,4]=>[3,7,1,5,6,2,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,2,6,5,3,1,7]=>[7,1,3,5,6,2,4]=>[3,7,1,2,5,6,4]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,2,6,5,3,7,1]=>[1,7,3,5,6,2,4]=>[3,7,1,2,5,4,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,2,6,5,7,1,3]=>[3,1,7,5,6,2,4]=>[3,7,1,5,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,6,5,7,3,1]=>[1,3,7,5,6,2,4]=>[3,7,1,5,2,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,2,6,7,1,3,5]=>[5,3,1,7,6,2,4]=>[1,5,3,2,7,6,4]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[4,2,6,7,1,5,3]=>[3,5,1,7,6,2,4]=>[3,7,5,1,6,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,2,6,7,3,1,5]=>[5,1,3,7,6,2,4]=>[5,7,3,1,2,6,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[4,2,6,7,3,5,1]=>[1,5,3,7,6,2,4]=>[5,7,3,1,6,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,2,6,7,5,1,3]=>[3,1,5,7,6,2,4]=>[3,7,5,1,2,6,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,2,6,7,5,3,1]=>[1,3,5,7,6,2,4]=>[3,7,5,1,2,4,6]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[4,2,7,1,3,5,6]=>[6,5,3,1,7,2,4]=>[1,6,3,7,5,4,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[4,2,7,1,3,6,5]=>[5,6,3,1,7,2,4]=>[5,6,1,7,3,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,2,7,1,5,3,6]=>[6,3,5,1,7,2,4]=>[3,6,1,7,2,5,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,7,1,5,6,3]=>[3,6,5,1,7,2,4]=>[3,6,1,7,5,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,2,7,1,6,3,5]=>[5,3,6,1,7,2,4]=>[5,6,1,7,3,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4]=>[3,5,1,6,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,2,7,3,1,5,6]=>[6,5,1,3,7,2,4]=>[6,7,1,3,5,4,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[4,2,7,3,1,6,5]=>[5,6,1,3,7,2,4]=>[5,6,1,3,7,2,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,2,7,3,5,1,6]=>[6,1,5,3,7,2,4]=>[6,7,1,5,3,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[4,2,7,3,5,6,1]=>[1,6,5,3,7,2,4]=>[6,7,1,5,3,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,2,7,3,6,1,5]=>[5,1,6,3,7,2,4]=>[5,6,1,3,2,7,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,7,3,6,5,1]=>[1,5,6,3,7,2,4]=>[5,6,1,3,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,2,7,5,1,3,6]=>[6,3,1,5,7,2,4]=>[3,6,1,2,7,5,4]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[4,2,7,5,1,6,3]=>[3,6,1,5,7,2,4]=>[3,6,1,5,7,2,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,2,7,5,3,1,6]=>[6,1,3,5,7,2,4]=>[3,6,1,2,5,7,4]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,2,7,5,3,6,1]=>[1,6,3,5,7,2,4]=>[3,6,1,2,5,4,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,2,7,5,6,1,3]=>[3,1,6,5,7,2,4]=>[3,6,1,5,2,7,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,7,5,6,3,1]=>[1,3,6,5,7,2,4]=>[3,6,1,5,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,2,7,6,1,3,5]=>[5,3,1,6,7,2,4]=>[5,6,1,3,7,4,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[4,2,7,6,1,5,3]=>[3,5,1,6,7,2,4]=>[3,5,1,2,6,4,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,2,7,6,3,1,5]=>[5,1,3,6,7,2,4]=>[5,6,1,3,4,7,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[4,2,7,6,3,5,1]=>[1,5,3,6,7,2,4]=>[5,6,1,3,4,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,2,7,6,5,1,3]=>[3,1,5,6,7,2,4]=>[3,5,1,2,6,7,4]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,2,7,6,5,3,1]=>[1,3,5,6,7,2,4]=>[3,5,1,2,4,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[4,3,1,2,5,6,7]=>[7,6,5,2,1,3,4]=>[2,3,7,6,5,4,1]=>[[.,[.,[[[[.,.],.],.],.]]],.]
[4,3,1,2,5,7,6]=>[6,7,5,2,1,3,4]=>[2,6,7,5,3,1,4]=>[[.,[[[.,[.,.]],.],.]],[.,.]]
[4,3,1,2,6,5,7]=>[7,5,6,2,1,3,4]=>[2,5,7,6,3,4,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[4,3,1,2,6,7,5]=>[5,7,6,2,1,3,4]=>[2,5,7,6,3,1,4]=>[[.,[[.,[[.,.],.]],.]],[.,.]]
[4,3,1,2,7,5,6]=>[6,5,7,2,1,3,4]=>[2,6,7,5,3,4,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[4,3,1,2,7,6,5]=>[5,6,7,2,1,3,4]=>[5,6,7,2,1,3,4]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[4,3,1,5,2,6,7]=>[7,6,2,5,1,3,4]=>[2,3,7,1,6,5,4]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[4,3,1,5,2,7,6]=>[6,7,2,5,1,3,4]=>[2,6,7,3,5,1,4]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[4,3,1,5,6,2,7]=>[7,2,6,5,1,3,4]=>[2,3,7,6,1,5,4]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[4,3,1,5,6,7,2]=>[2,7,6,5,1,3,4]=>[2,3,7,6,5,1,4]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[4,3,1,5,7,2,6]=>[6,2,7,5,1,3,4]=>[2,6,7,3,1,5,4]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[4,3,1,5,7,6,2]=>[2,6,7,5,1,3,4]=>[2,6,7,5,1,3,4]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[4,3,1,6,2,5,7]=>[7,5,2,6,1,3,4]=>[2,5,7,3,6,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[4,3,1,6,2,7,5]=>[5,7,2,6,1,3,4]=>[2,5,7,3,6,1,4]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[4,3,1,6,5,2,7]=>[7,2,5,6,1,3,4]=>[2,5,7,1,3,6,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,3,1,6,5,7,2]=>[2,7,5,6,1,3,4]=>[2,5,7,1,6,3,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,3,1,6,7,2,5]=>[5,2,7,6,1,3,4]=>[2,5,7,3,1,6,4]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[4,3,1,6,7,5,2]=>[2,5,7,6,1,3,4]=>[2,5,7,6,1,3,4]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[4,3,1,7,2,5,6]=>[6,5,2,7,1,3,4]=>[2,6,7,3,5,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[4,3,1,7,2,6,5]=>[5,6,2,7,1,3,4]=>[5,6,7,2,3,1,4]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,3,1,7,5,2,6]=>[6,2,5,7,1,3,4]=>[2,6,7,1,3,5,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,3,1,7,5,6,2]=>[2,6,5,7,1,3,4]=>[2,6,7,1,5,3,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,3,1,7,6,2,5]=>[5,2,6,7,1,3,4]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,3,1,7,6,5,2]=>[2,5,6,7,1,3,4]=>[2,5,6,1,3,4,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4]=>[1,2,3,7,6,5,4]=>[.,[.,[.,[[[[.,.],.],.],.]]]]
[4,3,2,1,5,7,6]=>[6,7,5,1,2,3,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,3,2,1,6,7,5]=>[5,7,6,1,2,3,4]=>[1,2,5,7,6,3,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[4,3,2,1,7,5,6]=>[6,5,7,1,2,3,4]=>[1,2,6,7,3,5,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,3,2,5,1,6,7]=>[7,6,1,5,2,3,4]=>[1,2,7,3,6,5,4]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[4,3,2,5,1,7,6]=>[6,7,1,5,2,3,4]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[4,3,2,5,6,1,7]=>[7,1,6,5,2,3,4]=>[1,2,7,6,3,5,4]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[4,3,2,5,6,7,1]=>[1,7,6,5,2,3,4]=>[1,2,7,6,5,3,4]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[4,3,2,5,7,1,6]=>[6,1,7,5,2,3,4]=>[1,2,6,5,3,7,4]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[4,3,2,5,7,6,1]=>[1,6,7,5,2,3,4]=>[1,6,7,5,2,3,4]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[4,3,2,6,1,5,7]=>[7,5,1,6,2,3,4]=>[1,2,5,3,7,6,4]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[4,3,2,6,1,7,5]=>[5,7,1,6,2,3,4]=>[1,2,7,5,6,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[4,3,2,6,5,1,7]=>[7,1,5,6,2,3,4]=>[1,5,7,2,3,6,4]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4]=>[1,5,7,2,6,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,3,2,6,7,1,5]=>[5,1,7,6,2,3,4]=>[1,2,7,5,3,6,4]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[4,3,2,6,7,5,1]=>[1,5,7,6,2,3,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[4,3,2,7,1,5,6]=>[6,5,1,7,2,3,4]=>[1,2,6,3,7,5,4]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[4,3,2,7,1,6,5]=>[5,6,1,7,2,3,4]=>[1,5,6,2,7,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,3,2,7,5,1,6]=>[6,1,5,7,2,3,4]=>[1,6,7,2,3,5,4]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[4,3,2,7,5,6,1]=>[1,6,5,7,2,3,4]=>[1,6,7,2,5,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,3,2,7,6,1,5]=>[5,1,6,7,2,3,4]=>[1,5,6,2,3,7,4]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[4,3,5,1,2,6,7]=>[7,6,2,1,5,3,4]=>[2,3,1,7,6,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,3,5,1,2,7,6]=>[6,7,2,1,5,3,4]=>[2,6,3,7,5,1,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[4,3,5,1,6,2,7]=>[7,2,6,1,5,3,4]=>[2,7,3,6,1,5,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[4,3,5,1,6,7,2]=>[2,7,6,1,5,3,4]=>[2,7,3,6,5,1,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[4,3,5,1,7,2,6]=>[6,2,7,1,5,3,4]=>[2,6,3,7,1,5,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[4,3,5,1,7,6,2]=>[2,6,7,1,5,3,4]=>[2,6,5,7,1,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,3,5,2,1,6,7]=>[7,6,1,2,5,3,4]=>[1,7,2,3,6,5,4]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[4,3,5,2,1,7,6]=>[6,7,1,2,5,3,4]=>[1,6,2,5,7,3,4]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[4,3,5,2,6,1,7]=>[7,1,6,2,5,3,4]=>[1,7,2,6,3,5,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,3,5,2,6,7,1]=>[1,7,6,2,5,3,4]=>[1,7,2,6,5,3,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,3,5,2,7,1,6]=>[6,1,7,2,5,3,4]=>[1,6,2,5,3,7,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,3,5,2,7,6,1]=>[1,6,7,2,5,3,4]=>[1,6,5,7,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,3,5,6,1,2,7]=>[7,2,1,6,5,3,4]=>[2,7,3,1,6,5,4]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,3,5,6,1,7,2]=>[2,7,1,6,5,3,4]=>[2,7,6,3,5,1,4]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[4,3,5,6,2,1,7]=>[7,1,2,6,5,3,4]=>[1,7,6,2,3,5,4]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[4,3,5,6,2,7,1]=>[1,7,2,6,5,3,4]=>[1,7,6,2,5,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,3,5,6,7,1,2]=>[2,1,7,6,5,3,4]=>[2,7,6,3,1,5,4]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,3,5,6,7,2,1]=>[1,2,7,6,5,3,4]=>[1,7,6,5,2,3,4]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[4,3,5,7,1,2,6]=>[6,2,1,7,5,3,4]=>[2,6,3,1,7,5,4]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,3,5,7,1,6,2]=>[2,6,1,7,5,3,4]=>[2,6,5,1,7,3,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,3,5,7,2,1,6]=>[6,1,2,7,5,3,4]=>[1,6,5,2,3,7,4]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[4,3,5,7,2,6,1]=>[1,6,2,7,5,3,4]=>[1,6,5,2,7,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,3,5,7,6,1,2]=>[2,1,6,7,5,3,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,3,5,7,6,2,1]=>[1,2,6,7,5,3,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[4,3,6,1,2,5,7]=>[7,5,2,1,6,3,4]=>[2,5,3,7,6,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[4,3,6,1,2,7,5]=>[5,7,2,1,6,3,4]=>[2,5,3,7,6,1,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[4,3,6,1,5,2,7]=>[7,2,5,1,6,3,4]=>[2,5,1,7,3,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,3,6,1,5,7,2]=>[2,7,5,1,6,3,4]=>[2,5,1,7,6,3,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,3,6,1,7,2,5]=>[5,2,7,1,6,3,4]=>[2,5,3,7,1,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[4,3,6,1,7,5,2]=>[2,5,7,1,6,3,4]=>[2,7,5,6,1,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,3,6,2,1,5,7]=>[7,5,1,2,6,3,4]=>[1,5,2,3,7,6,4]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[4,3,6,2,1,7,5]=>[5,7,1,2,6,3,4]=>[1,7,2,5,6,3,4]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[4,3,6,2,5,1,7]=>[7,1,5,2,6,3,4]=>[1,5,2,7,3,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,3,6,2,5,7,1]=>[1,7,5,2,6,3,4]=>[1,5,2,7,6,3,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,3,6,2,7,1,5]=>[5,1,7,2,6,3,4]=>[1,7,2,5,3,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,3,6,2,7,5,1]=>[1,5,7,2,6,3,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,3,6,5,1,2,7]=>[7,2,1,5,6,3,4]=>[2,5,1,3,7,6,4]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[4,3,6,5,1,7,2]=>[2,7,1,5,6,3,4]=>[2,7,1,5,6,3,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,3,6,5,2,1,7]=>[7,1,2,5,6,3,4]=>[5,7,1,2,3,6,4]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,3,6,5,2,7,1]=>[1,7,2,5,6,3,4]=>[5,7,1,2,6,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,3,6,5,7,1,2]=>[2,1,7,5,6,3,4]=>[2,7,1,5,3,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,3,6,5,7,2,1]=>[1,2,7,5,6,3,4]=>[5,7,1,6,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,3,6,7,1,2,5]=>[5,2,1,7,6,3,4]=>[2,5,3,1,7,6,4]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,3,6,7,1,5,2]=>[2,5,1,7,6,3,4]=>[2,7,5,1,6,3,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,3,6,7,2,1,5]=>[5,1,2,7,6,3,4]=>[1,7,5,2,3,6,4]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[4,3,6,7,2,5,1]=>[1,5,2,7,6,3,4]=>[1,7,5,2,6,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,3,6,7,5,1,2]=>[2,1,5,7,6,3,4]=>[2,7,5,1,3,6,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,3,6,7,5,2,1]=>[1,2,5,7,6,3,4]=>[5,7,6,1,2,3,4]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[4,3,7,1,2,5,6]=>[6,5,2,1,7,3,4]=>[2,6,3,7,5,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[4,3,7,1,2,6,5]=>[5,6,2,1,7,3,4]=>[5,6,2,7,3,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,3,7,1,5,2,6]=>[6,2,5,1,7,3,4]=>[2,6,1,7,3,5,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,3,7,1,5,6,2]=>[2,6,5,1,7,3,4]=>[2,6,1,7,5,3,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,3,7,1,6,2,5]=>[5,2,6,1,7,3,4]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,7,1,6,5,2]=>[2,5,6,1,7,3,4]=>[2,5,1,6,3,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,3,7,2,1,5,6]=>[6,5,1,2,7,3,4]=>[1,6,2,3,7,5,4]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[4,3,7,2,1,6,5]=>[5,6,1,2,7,3,4]=>[1,5,2,6,7,3,4]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[4,3,7,2,5,1,6]=>[6,1,5,2,7,3,4]=>[1,6,2,7,3,5,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,3,7,2,5,6,1]=>[1,6,5,2,7,3,4]=>[1,6,2,7,5,3,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,3,7,2,6,1,5]=>[5,1,6,2,7,3,4]=>[1,5,2,6,3,7,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,3,7,2,6,5,1]=>[1,5,6,2,7,3,4]=>[5,6,1,7,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,3,7,5,1,2,6]=>[6,2,1,5,7,3,4]=>[2,6,1,3,7,5,4]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[4,3,7,5,1,6,2]=>[2,6,1,5,7,3,4]=>[2,6,1,5,7,3,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,3,7,5,2,1,6]=>[6,1,2,5,7,3,4]=>[6,7,1,2,3,5,4]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,3,7,5,2,6,1]=>[1,6,2,5,7,3,4]=>[6,7,1,2,5,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,3,7,5,6,1,2]=>[2,1,6,5,7,3,4]=>[2,6,1,5,3,7,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,3,7,5,6,2,1]=>[1,2,6,5,7,3,4]=>[6,7,1,5,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,3,7,6,1,2,5]=>[5,2,1,6,7,3,4]=>[5,6,2,3,7,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,3,7,6,1,5,2]=>[2,5,1,6,7,3,4]=>[2,5,1,3,6,4,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,3,7,6,2,1,5]=>[5,1,2,6,7,3,4]=>[5,6,1,2,3,7,4]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,3,7,6,2,5,1]=>[1,5,2,6,7,3,4]=>[5,6,1,2,7,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,3,7,6,5,1,2]=>[2,1,5,6,7,3,4]=>[2,5,1,3,6,7,4]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,3,7,6,5,2,1]=>[1,2,5,6,7,3,4]=>[5,6,1,2,3,4,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[4,5,1,2,3,6,7]=>[7,6,3,2,1,5,4]=>[3,2,7,6,5,4,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[4,5,1,2,3,7,6]=>[6,7,3,2,1,5,4]=>[6,3,7,5,2,1,4]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[4,5,1,2,6,3,7]=>[7,3,6,2,1,5,4]=>[3,2,7,6,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,5,1,2,6,7,3]=>[3,7,6,2,1,5,4]=>[3,2,7,6,5,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,5,1,2,7,3,6]=>[6,3,7,2,1,5,4]=>[6,3,7,5,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[4,5,1,2,7,6,3]=>[3,6,7,2,1,5,4]=>[3,2,6,5,1,4,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[4,5,1,3,2,6,7]=>[7,6,2,3,1,5,4]=>[2,1,7,3,6,5,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,5,1,3,2,7,6]=>[6,7,2,3,1,5,4]=>[6,2,7,3,5,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[4,5,1,3,6,2,7]=>[7,2,6,3,1,5,4]=>[2,1,7,6,3,5,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,5,1,3,6,7,2]=>[2,7,6,3,1,5,4]=>[2,1,7,6,5,3,4]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[4,5,1,3,7,2,6]=>[6,2,7,3,1,5,4]=>[6,2,7,3,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,5,1,3,7,6,2]=>[2,6,7,3,1,5,4]=>[6,2,7,5,1,3,4]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[4,5,1,6,2,3,7]=>[7,3,2,6,1,5,4]=>[3,2,7,1,6,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,1,6,2,7,3]=>[3,7,2,6,1,5,4]=>[7,3,6,2,5,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,5,1,6,3,2,7]=>[7,2,3,6,1,5,4]=>[7,2,6,1,3,5,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,5,1,6,3,7,2]=>[2,7,3,6,1,5,4]=>[7,2,6,1,5,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,5,1,6,7,2,3]=>[3,2,7,6,1,5,4]=>[7,3,6,2,1,5,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,5,1,6,7,3,2]=>[2,3,7,6,1,5,4]=>[7,2,6,5,1,3,4]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[4,5,1,7,2,3,6]=>[6,3,2,7,1,5,4]=>[6,3,7,2,5,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,5,1,7,2,6,3]=>[3,6,2,7,1,5,4]=>[3,2,6,1,5,4,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,5,1,7,3,2,6]=>[6,2,3,7,1,5,4]=>[6,2,7,1,3,5,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,5,1,7,3,6,2]=>[2,6,3,7,1,5,4]=>[6,2,7,1,5,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,5,1,7,6,2,3]=>[3,2,6,7,1,5,4]=>[3,2,6,1,5,7,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[4,5,1,7,6,3,2]=>[2,3,6,7,1,5,4]=>[6,2,5,1,3,4,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[4,5,2,1,3,6,7]=>[7,6,3,1,2,5,4]=>[3,1,2,7,6,5,4]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[4,5,2,1,3,7,6]=>[6,7,3,1,2,5,4]=>[6,1,3,7,5,2,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[4,5,2,1,6,3,7]=>[7,3,6,1,2,5,4]=>[7,1,3,6,2,5,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,5,2,1,6,7,3]=>[3,7,6,1,2,5,4]=>[7,1,3,6,5,2,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[4,5,2,1,7,3,6]=>[6,3,7,1,2,5,4]=>[6,1,3,7,2,5,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,5,2,1,7,6,3]=>[3,6,7,1,2,5,4]=>[6,3,5,7,1,2,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,5,2,3,1,6,7]=>[7,6,1,3,2,5,4]=>[3,1,7,2,6,5,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,5,2,3,1,7,6]=>[6,7,1,3,2,5,4]=>[6,1,7,3,5,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,5,2,3,6,1,7]=>[7,1,6,3,2,5,4]=>[3,1,7,6,2,5,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,5,2,3,6,7,1]=>[1,7,6,3,2,5,4]=>[3,1,7,6,5,2,4]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[4,5,2,3,7,1,6]=>[6,1,7,3,2,5,4]=>[6,1,7,3,2,5,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4]=>[6,3,7,5,1,2,4]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[4,5,2,6,1,3,7]=>[7,3,1,6,2,5,4]=>[7,1,3,2,6,5,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,5,2,6,1,7,3]=>[3,7,1,6,2,5,4]=>[7,1,6,3,5,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,5,2,6,3,1,7]=>[7,1,3,6,2,5,4]=>[7,3,6,1,2,5,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,5,2,6,3,7,1]=>[1,7,3,6,2,5,4]=>[7,3,6,1,5,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,5,2,6,7,1,3]=>[3,1,7,6,2,5,4]=>[7,1,6,3,2,5,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,5,2,6,7,3,1]=>[1,3,7,6,2,5,4]=>[7,3,6,5,1,2,4]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[4,5,2,7,1,3,6]=>[6,3,1,7,2,5,4]=>[6,1,3,2,7,5,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,5,2,7,1,6,3]=>[3,6,1,7,2,5,4]=>[6,3,5,1,7,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,5,2,7,3,1,6]=>[6,1,3,7,2,5,4]=>[6,3,7,1,2,5,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,5,2,7,3,6,1]=>[1,6,3,7,2,5,4]=>[6,3,7,1,5,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,5,2,7,6,1,3]=>[3,1,6,7,2,5,4]=>[6,3,5,1,2,7,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,5,2,7,6,3,1]=>[1,3,6,7,2,5,4]=>[6,3,5,1,2,4,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[4,5,3,1,2,6,7]=>[7,6,2,1,3,5,4]=>[2,1,3,7,6,5,4]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[4,5,3,1,2,7,6]=>[6,7,2,1,3,5,4]=>[6,2,3,7,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[4,5,3,1,6,2,7]=>[7,2,6,1,3,5,4]=>[7,2,3,6,1,5,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,5,3,1,6,7,2]=>[2,7,6,1,3,5,4]=>[7,2,3,6,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[4,5,3,1,7,2,6]=>[6,2,7,1,3,5,4]=>[6,2,3,7,1,5,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,5,3,1,7,6,2]=>[2,6,7,1,3,5,4]=>[6,2,5,7,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,5,3,2,1,6,7]=>[7,6,1,2,3,5,4]=>[7,1,2,3,6,5,4]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[4,5,3,2,1,7,6]=>[6,7,1,2,3,5,4]=>[6,1,2,5,7,3,4]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[4,5,3,2,6,1,7]=>[7,1,6,2,3,5,4]=>[7,1,2,6,3,5,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[4,5,3,2,6,7,1]=>[1,7,6,2,3,5,4]=>[7,1,2,6,5,3,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[4,5,3,2,7,1,6]=>[6,1,7,2,3,5,4]=>[6,1,2,5,3,7,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[4,5,3,2,7,6,1]=>[1,6,7,2,3,5,4]=>[6,1,5,7,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,5,3,6,1,2,7]=>[7,2,1,6,3,5,4]=>[7,2,3,1,6,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,3,6,1,7,2]=>[2,7,1,6,3,5,4]=>[7,2,6,3,5,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[4,5,3,6,2,1,7]=>[7,1,2,6,3,5,4]=>[7,1,6,2,3,5,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,5,3,6,2,7,1]=>[1,7,2,6,3,5,4]=>[7,1,6,2,5,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,5,3,6,7,1,2]=>[2,1,7,6,3,5,4]=>[7,2,6,3,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,5,3,6,7,2,1]=>[1,2,7,6,3,5,4]=>[7,1,6,5,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[4,5,3,7,1,2,6]=>[6,2,1,7,3,5,4]=>[6,2,3,1,7,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,5,3,7,1,6,2]=>[2,6,1,7,3,5,4]=>[6,2,5,1,7,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,5,3,7,2,1,6]=>[6,1,2,7,3,5,4]=>[6,1,5,2,3,7,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,5,3,7,2,6,1]=>[1,6,2,7,3,5,4]=>[6,1,5,2,7,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,5,3,7,6,1,2]=>[2,1,6,7,3,5,4]=>[6,2,5,1,3,7,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,5,3,7,6,2,1]=>[1,2,6,7,3,5,4]=>[6,5,7,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[4,5,6,1,2,3,7]=>[7,3,2,1,6,5,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,5,6,1,2,7,3]=>[3,7,2,1,6,5,4]=>[7,3,2,6,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,5,6,1,3,2,7]=>[7,2,3,1,6,5,4]=>[7,2,1,6,3,5,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,5,6,1,3,7,2]=>[2,7,3,1,6,5,4]=>[7,2,1,6,5,3,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,5,6,1,7,2,3]=>[3,2,7,1,6,5,4]=>[7,3,2,6,1,5,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,5,6,1,7,3,2]=>[2,3,7,1,6,5,4]=>[7,6,2,5,1,3,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[4,5,6,2,1,3,7]=>[7,3,1,2,6,5,4]=>[7,3,1,2,6,5,4]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[4,5,6,2,1,7,3]=>[3,7,1,2,6,5,4]=>[7,6,1,3,5,2,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[4,5,6,2,3,1,7]=>[7,1,3,2,6,5,4]=>[7,3,1,6,2,5,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,5,6,2,3,7,1]=>[1,7,3,2,6,5,4]=>[7,3,1,6,5,2,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,5,6,2,7,1,3]=>[3,1,7,2,6,5,4]=>[7,6,1,3,2,5,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,5,6,2,7,3,1]=>[1,3,7,2,6,5,4]=>[7,6,3,5,1,2,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[4,5,6,3,1,2,7]=>[7,2,1,3,6,5,4]=>[7,2,1,3,6,5,4]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[4,5,6,3,1,7,2]=>[2,7,1,3,6,5,4]=>[7,6,2,3,5,1,4]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[4,5,6,3,2,1,7]=>[7,1,2,3,6,5,4]=>[7,6,1,2,3,5,4]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[4,5,6,3,2,7,1]=>[1,7,2,3,6,5,4]=>[7,6,1,2,5,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,5,6,3,7,1,2]=>[2,1,7,3,6,5,4]=>[7,6,2,3,1,5,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,5,6,3,7,2,1]=>[1,2,7,3,6,5,4]=>[7,6,1,5,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,5,6,7,1,2,3]=>[3,2,1,7,6,5,4]=>[7,3,2,1,6,5,4]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,5,6,7,1,3,2]=>[2,3,1,7,6,5,4]=>[7,6,2,1,5,3,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[4,5,6,7,2,1,3]=>[3,1,2,7,6,5,4]=>[7,6,3,1,2,5,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[4,5,6,7,2,3,1]=>[1,3,2,7,6,5,4]=>[7,6,3,1,5,2,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[4,5,6,7,3,1,2]=>[2,1,3,7,6,5,4]=>[7,6,2,1,3,5,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[4,5,7,1,2,3,6]=>[6,3,2,1,7,5,4]=>[6,3,2,7,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,5,7,1,2,6,3]=>[3,6,2,1,7,5,4]=>[3,2,1,6,5,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,5,7,1,3,2,6]=>[6,2,3,1,7,5,4]=>[6,2,1,7,3,5,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,5,7,1,3,6,2]=>[2,6,3,1,7,5,4]=>[6,2,1,7,5,3,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,5,7,1,6,2,3]=>[3,2,6,1,7,5,4]=>[3,2,1,6,5,7,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[4,5,7,1,6,3,2]=>[2,3,6,1,7,5,4]=>[6,2,1,5,3,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,5,7,2,1,3,6]=>[6,3,1,2,7,5,4]=>[6,3,1,2,7,5,4]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[4,5,7,2,1,6,3]=>[3,6,1,2,7,5,4]=>[6,3,1,5,7,2,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[4,5,7,2,3,1,6]=>[6,1,3,2,7,5,4]=>[6,3,1,7,2,5,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,5,7,2,3,6,1]=>[1,6,3,2,7,5,4]=>[6,3,1,7,5,2,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,5,7,2,6,1,3]=>[3,1,6,2,7,5,4]=>[6,3,1,5,2,7,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,5,7,2,6,3,1]=>[1,3,6,2,7,5,4]=>[6,3,1,5,2,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,5,7,3,1,2,6]=>[6,2,1,3,7,5,4]=>[6,2,1,3,7,5,4]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[4,5,7,3,1,6,2]=>[2,6,1,3,7,5,4]=>[6,2,1,5,7,3,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[4,5,7,3,2,1,6]=>[6,1,2,3,7,5,4]=>[6,5,1,2,3,7,4]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[4,5,7,3,2,6,1]=>[1,6,2,3,7,5,4]=>[6,5,1,2,7,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,5,7,3,6,1,2]=>[2,1,6,3,7,5,4]=>[6,2,1,5,3,7,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,5,7,3,6,2,1]=>[1,2,6,3,7,5,4]=>[6,5,1,7,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,5,7,6,1,2,3]=>[3,2,1,6,7,5,4]=>[3,2,1,6,7,5,4]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[4,5,7,6,1,3,2]=>[2,3,1,6,7,5,4]=>[6,2,1,3,5,4,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,5,7,6,2,1,3]=>[3,1,2,6,7,5,4]=>[6,3,1,2,5,7,4]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[4,5,7,6,2,3,1]=>[1,3,2,6,7,5,4]=>[6,3,1,2,5,4,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,5,7,6,3,1,2]=>[2,1,3,6,7,5,4]=>[6,2,1,3,5,7,4]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[4,5,7,6,3,2,1]=>[1,2,3,6,7,5,4]=>[6,5,1,2,3,4,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[4,6,1,2,3,5,7]=>[7,5,3,2,1,6,4]=>[5,3,7,6,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[4,6,1,2,3,7,5]=>[5,7,3,2,1,6,4]=>[5,3,7,6,2,1,4]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[4,6,1,2,5,3,7]=>[7,3,5,2,1,6,4]=>[3,2,7,5,4,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[4,6,1,2,5,7,3]=>[3,7,5,2,1,6,4]=>[3,2,7,5,4,1,6]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,6,1,2,7,3,5]=>[5,3,7,2,1,6,4]=>[5,3,7,6,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[4,6,1,2,7,5,3]=>[3,5,7,2,1,6,4]=>[3,2,7,5,1,4,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[4,6,1,3,2,5,7]=>[7,5,2,3,1,6,4]=>[5,2,7,3,6,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[4,6,1,3,2,7,5]=>[5,7,2,3,1,6,4]=>[5,2,7,3,6,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[4,6,1,3,5,2,7]=>[7,2,5,3,1,6,4]=>[5,2,7,6,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[4,6,1,3,5,7,2]=>[2,7,5,3,1,6,4]=>[5,2,7,6,3,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,6,1,3,7,2,5]=>[5,2,7,3,1,6,4]=>[5,2,7,3,1,6,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,6,1,3,7,5,2]=>[2,5,7,3,1,6,4]=>[5,2,7,6,1,3,4]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[4,6,1,5,2,3,7]=>[7,3,2,5,1,6,4]=>[3,2,7,5,6,4,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[4,6,1,5,2,7,3]=>[3,7,2,5,1,6,4]=>[3,2,7,5,6,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[4,6,1,5,3,2,7]=>[7,2,3,5,1,6,4]=>[2,1,7,3,5,6,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,6,1,5,3,7,2]=>[2,7,3,5,1,6,4]=>[2,1,7,3,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,6,1,5,7,2,3]=>[3,2,7,5,1,6,4]=>[3,2,7,5,1,6,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,6,1,5,7,3,2]=>[2,3,7,5,1,6,4]=>[2,1,7,5,3,4,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[4,6,1,7,2,3,5]=>[5,3,2,7,1,6,4]=>[5,3,7,2,6,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[4,6,1,7,2,5,3]=>[3,5,2,7,1,6,4]=>[3,2,7,1,5,4,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,6,1,7,3,2,5]=>[5,2,3,7,1,6,4]=>[5,2,7,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,6,1,7,3,5,2]=>[2,5,3,7,1,6,4]=>[5,2,7,1,6,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,6,1,7,5,2,3]=>[3,2,5,7,1,6,4]=>[3,2,7,1,5,6,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[4,6,1,7,5,3,2]=>[2,3,5,7,1,6,4]=>[7,2,5,1,3,4,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[4,6,2,1,3,5,7]=>[7,5,3,1,2,6,4]=>[5,1,3,7,6,4,2]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[4,6,2,1,3,7,5]=>[5,7,3,1,2,6,4]=>[5,1,3,7,6,2,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[4,6,2,1,5,3,7]=>[7,3,5,1,2,6,4]=>[3,1,5,7,2,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,6,2,1,5,7,3]=>[3,7,5,1,2,6,4]=>[3,1,5,7,6,2,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[4,6,2,1,7,3,5]=>[5,3,7,1,2,6,4]=>[5,1,3,7,2,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,6,2,1,7,5,3]=>[3,5,7,1,2,6,4]=>[7,3,5,6,1,2,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,6,2,3,1,5,7]=>[7,5,1,3,2,6,4]=>[5,1,7,3,6,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[4,6,2,3,1,7,5]=>[5,7,1,3,2,6,4]=>[5,1,7,3,6,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,6,2,3,5,1,7]=>[7,1,5,3,2,6,4]=>[5,1,7,6,3,4,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[4,6,2,3,5,7,1]=>[1,7,5,3,2,6,4]=>[5,1,7,6,3,2,4]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[4,6,2,3,7,1,5]=>[5,1,7,3,2,6,4]=>[5,1,7,3,2,6,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,6,2,3,7,5,1]=>[1,5,7,3,2,6,4]=>[5,3,7,6,1,2,4]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[4,6,2,5,1,3,7]=>[7,3,1,5,2,6,4]=>[3,1,5,2,7,6,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,6,2,5,1,7,3]=>[3,7,1,5,2,6,4]=>[3,1,7,5,6,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,6,2,5,3,1,7]=>[7,1,3,5,2,6,4]=>[3,1,7,2,5,6,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4]=>[3,1,7,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,6,2,5,7,1,3]=>[3,1,7,5,2,6,4]=>[3,1,7,5,2,6,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,6,2,5,7,3,1]=>[1,3,7,5,2,6,4]=>[3,1,7,5,2,4,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[4,6,2,7,1,3,5]=>[5,3,1,7,2,6,4]=>[5,1,3,2,7,6,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,6,2,7,1,5,3]=>[3,5,1,7,2,6,4]=>[7,3,5,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,6,2,7,3,1,5]=>[5,1,3,7,2,6,4]=>[5,3,7,1,2,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4]=>[5,3,7,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,6,2,7,5,1,3]=>[3,1,5,7,2,6,4]=>[7,3,5,1,2,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,6,2,7,5,3,1]=>[1,3,5,7,2,6,4]=>[7,3,5,1,2,4,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[4,6,3,1,2,5,7]=>[7,5,2,1,3,6,4]=>[5,2,3,7,6,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[4,6,3,1,2,7,5]=>[5,7,2,1,3,6,4]=>[5,2,3,7,6,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[4,6,3,1,5,2,7]=>[7,2,5,1,3,6,4]=>[2,1,5,7,3,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,6,3,1,5,7,2]=>[2,7,5,1,3,6,4]=>[2,1,5,7,6,3,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[4,6,3,1,7,2,5]=>[5,2,7,1,3,6,4]=>[5,2,3,7,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,6,3,1,7,5,2]=>[2,5,7,1,3,6,4]=>[7,2,5,6,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,6,3,2,1,5,7]=>[7,5,1,2,3,6,4]=>[5,1,2,3,7,6,4]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[4,6,3,2,1,7,5]=>[5,7,1,2,3,6,4]=>[7,1,2,5,6,3,4]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[4,6,3,2,5,1,7]=>[7,1,5,2,3,6,4]=>[5,1,2,7,3,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[4,6,3,2,5,7,1]=>[1,7,5,2,3,6,4]=>[5,1,2,7,6,3,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[4,6,3,2,7,1,5]=>[5,1,7,2,3,6,4]=>[7,1,2,5,3,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[4,6,3,2,7,5,1]=>[1,5,7,2,3,6,4]=>[7,1,5,6,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,6,3,5,1,2,7]=>[7,2,1,5,3,6,4]=>[2,1,5,3,7,6,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,6,3,5,1,7,2]=>[2,7,1,5,3,6,4]=>[2,1,7,5,6,3,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,6,3,5,2,1,7]=>[7,1,2,5,3,6,4]=>[5,1,7,2,3,6,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,6,3,5,2,7,1]=>[1,7,2,5,3,6,4]=>[5,1,7,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,6,3,5,7,1,2]=>[2,1,7,5,3,6,4]=>[2,1,7,5,3,6,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,6,3,5,7,2,1]=>[1,2,7,5,3,6,4]=>[5,1,7,6,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[4,6,3,7,1,2,5]=>[5,2,1,7,3,6,4]=>[5,2,3,1,7,6,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,3,7,1,5,2]=>[2,5,1,7,3,6,4]=>[7,2,5,1,6,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,6,3,7,2,1,5]=>[5,1,2,7,3,6,4]=>[7,1,5,2,3,6,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,6,3,7,2,5,1]=>[1,5,2,7,3,6,4]=>[7,1,5,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,6,3,7,5,1,2]=>[2,1,5,7,3,6,4]=>[7,2,5,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,6,3,7,5,2,1]=>[1,2,5,7,3,6,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[4,6,5,1,2,3,7]=>[7,3,2,1,5,6,4]=>[3,2,5,7,6,4,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[4,6,5,1,2,7,3]=>[3,7,2,1,5,6,4]=>[3,2,5,7,6,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[4,6,5,1,3,2,7]=>[7,2,3,1,5,6,4]=>[2,1,3,7,5,6,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[4,6,5,1,3,7,2]=>[2,7,3,1,5,6,4]=>[2,1,3,7,5,4,6]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[4,6,5,1,7,2,3]=>[3,2,7,1,5,6,4]=>[3,2,5,7,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,6,5,1,7,3,2]=>[2,3,7,1,5,6,4]=>[7,2,3,5,1,4,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,6,5,2,1,3,7]=>[7,3,1,2,5,6,4]=>[3,1,2,5,7,6,4]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[4,6,5,2,1,7,3]=>[3,7,1,2,5,6,4]=>[7,1,3,5,6,2,4]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,6,5,2,3,1,7]=>[7,1,3,2,5,6,4]=>[3,1,2,7,5,6,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[4,6,5,2,3,7,1]=>[1,7,3,2,5,6,4]=>[3,1,2,7,5,4,6]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[4,6,5,2,7,1,3]=>[3,1,7,2,5,6,4]=>[7,1,3,5,2,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,6,5,2,7,3,1]=>[1,3,7,2,5,6,4]=>[7,1,3,5,2,4,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,6,5,3,1,2,7]=>[7,2,1,3,5,6,4]=>[2,1,3,5,7,6,4]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[4,6,5,3,1,7,2]=>[2,7,1,3,5,6,4]=>[7,2,3,5,6,1,4]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[4,6,5,3,2,1,7]=>[7,1,2,3,5,6,4]=>[7,1,2,3,5,6,4]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[4,6,5,3,2,7,1]=>[1,7,2,3,5,6,4]=>[7,1,2,3,5,4,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[4,6,5,3,7,1,2]=>[2,1,7,3,5,6,4]=>[7,2,3,5,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,6,5,3,7,2,1]=>[1,2,7,3,5,6,4]=>[7,1,2,5,3,4,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[4,6,5,7,1,2,3]=>[3,2,1,7,5,6,4]=>[3,2,5,1,7,6,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,6,5,7,1,3,2]=>[2,3,1,7,5,6,4]=>[7,2,3,1,5,4,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,6,5,7,2,1,3]=>[3,1,2,7,5,6,4]=>[7,1,3,2,5,6,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,6,5,7,2,3,1]=>[1,3,2,7,5,6,4]=>[7,1,3,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,6,5,7,3,1,2]=>[2,1,3,7,5,6,4]=>[7,2,3,1,5,6,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[4,6,5,7,3,2,1]=>[1,2,3,7,5,6,4]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[4,6,7,1,2,3,5]=>[5,3,2,1,7,6,4]=>[5,3,2,7,6,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,6,7,1,2,5,3]=>[3,5,2,1,7,6,4]=>[3,2,1,7,5,4,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,6,7,1,3,2,5]=>[5,2,3,1,7,6,4]=>[5,2,1,7,3,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,6,7,1,3,5,2]=>[2,5,3,1,7,6,4]=>[5,2,1,7,6,3,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,6,7,1,5,2,3]=>[3,2,5,1,7,6,4]=>[3,2,1,7,5,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[4,6,7,1,5,3,2]=>[2,3,5,1,7,6,4]=>[7,2,1,5,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,6,7,2,1,3,5]=>[5,3,1,2,7,6,4]=>[5,3,1,2,7,6,4]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[4,6,7,2,1,5,3]=>[3,5,1,2,7,6,4]=>[7,3,1,5,6,2,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[4,6,7,2,3,1,5]=>[5,1,3,2,7,6,4]=>[5,3,1,7,2,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,6,7,2,3,5,1]=>[1,5,3,2,7,6,4]=>[5,3,1,7,6,2,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,6,7,2,5,1,3]=>[3,1,5,2,7,6,4]=>[7,3,1,5,2,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,6,7,2,5,3,1]=>[1,3,5,2,7,6,4]=>[7,3,1,5,2,4,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,6,7,3,1,2,5]=>[5,2,1,3,7,6,4]=>[5,2,1,3,7,6,4]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[4,6,7,3,1,5,2]=>[2,5,1,3,7,6,4]=>[7,2,1,5,6,3,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[4,6,7,3,2,1,5]=>[5,1,2,3,7,6,4]=>[7,5,1,2,3,6,4]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[4,6,7,3,2,5,1]=>[1,5,2,3,7,6,4]=>[7,5,1,2,6,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,6,7,3,5,1,2]=>[2,1,5,3,7,6,4]=>[7,2,1,5,3,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,6,7,3,5,2,1]=>[1,2,5,3,7,6,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,6,7,5,1,2,3]=>[3,2,1,5,7,6,4]=>[3,2,1,5,7,6,4]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[4,6,7,5,1,3,2]=>[2,3,1,5,7,6,4]=>[7,2,1,3,5,4,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,6,7,5,2,1,3]=>[3,1,2,5,7,6,4]=>[7,3,1,2,5,6,4]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[4,6,7,5,2,3,1]=>[1,3,2,5,7,6,4]=>[7,3,1,2,5,4,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,6,7,5,3,1,2]=>[2,1,3,5,7,6,4]=>[7,2,1,3,5,6,4]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[4,6,7,5,3,2,1]=>[1,2,3,5,7,6,4]=>[7,5,1,2,3,4,6]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[4,7,1,2,3,5,6]=>[6,5,3,2,1,7,4]=>[6,3,7,5,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[4,7,1,2,3,6,5]=>[5,6,3,2,1,7,4]=>[5,3,6,4,2,1,7]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[4,7,1,2,5,3,6]=>[6,3,5,2,1,7,4]=>[3,2,6,5,4,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[4,7,1,2,5,6,3]=>[3,6,5,2,1,7,4]=>[3,2,6,5,4,1,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,7,1,2,6,3,5]=>[5,3,6,2,1,7,4]=>[5,3,6,4,2,7,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[4,7,1,2,6,5,3]=>[3,5,6,2,1,7,4]=>[3,2,5,4,1,6,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[4,7,1,3,2,5,6]=>[6,5,2,3,1,7,4]=>[6,2,7,3,5,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[4,7,1,3,2,6,5]=>[5,6,2,3,1,7,4]=>[5,2,6,3,7,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[4,7,1,3,5,2,6]=>[6,2,5,3,1,7,4]=>[6,2,7,5,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[4,7,1,3,5,6,2]=>[2,6,5,3,1,7,4]=>[6,2,7,5,3,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,7,1,3,6,2,5]=>[5,2,6,3,1,7,4]=>[5,2,6,3,1,7,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,7,1,3,6,5,2]=>[2,5,6,3,1,7,4]=>[5,2,6,3,1,4,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[4,7,1,5,2,3,6]=>[6,3,2,5,1,7,4]=>[3,2,6,5,7,4,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[4,7,1,5,2,6,3]=>[3,6,2,5,1,7,4]=>[3,2,6,5,7,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[4,7,1,5,3,2,6]=>[6,2,3,5,1,7,4]=>[2,1,6,3,5,7,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,7,1,5,3,6,2]=>[2,6,3,5,1,7,4]=>[2,1,6,3,5,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,7,1,5,6,2,3]=>[3,2,6,5,1,7,4]=>[3,2,6,5,1,7,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,7,1,5,6,3,2]=>[2,3,6,5,1,7,4]=>[2,1,6,5,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[4,7,1,6,2,3,5]=>[5,3,2,6,1,7,4]=>[5,3,6,4,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[4,7,1,6,2,5,3]=>[3,5,2,6,1,7,4]=>[3,2,5,4,6,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[4,7,1,6,3,2,5]=>[5,2,3,6,1,7,4]=>[5,2,6,3,4,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[4,7,1,6,3,5,2]=>[2,5,3,6,1,7,4]=>[5,2,6,3,4,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[4,7,1,6,5,2,3]=>[3,2,5,6,1,7,4]=>[3,2,5,4,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[4,7,1,6,5,3,2]=>[2,3,5,6,1,7,4]=>[2,1,5,3,4,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[4,7,2,1,3,5,6]=>[6,5,3,1,2,7,4]=>[6,1,3,7,5,4,2]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[4,7,2,1,3,6,5]=>[5,6,3,1,2,7,4]=>[5,1,6,7,3,2,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,7,2,1,5,3,6]=>[6,3,5,1,2,7,4]=>[3,1,6,7,2,5,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,2,1,5,6,3]=>[3,6,5,1,2,7,4]=>[3,1,6,7,5,2,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,7,2,1,6,3,5]=>[5,3,6,1,2,7,4]=>[5,1,6,7,3,4,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[4,7,2,1,6,5,3]=>[3,5,6,1,2,7,4]=>[3,1,5,6,2,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,7,2,3,1,5,6]=>[6,5,1,3,2,7,4]=>[6,1,7,3,5,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[4,7,2,3,1,6,5]=>[5,6,1,3,2,7,4]=>[5,1,6,3,7,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,7,2,3,5,1,6]=>[6,1,5,3,2,7,4]=>[6,1,7,5,3,4,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[4,7,2,3,5,6,1]=>[1,6,5,3,2,7,4]=>[6,1,7,5,3,2,4]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[4,7,2,3,6,1,5]=>[5,1,6,3,2,7,4]=>[5,1,6,3,2,7,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,7,2,3,6,5,1]=>[1,5,6,3,2,7,4]=>[5,1,6,3,2,4,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[4,7,2,5,1,3,6]=>[6,3,1,5,2,7,4]=>[3,1,6,2,7,5,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,7,2,5,1,6,3]=>[3,6,1,5,2,7,4]=>[3,1,6,5,7,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,7,2,5,3,1,6]=>[6,1,3,5,2,7,4]=>[3,1,6,2,5,7,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,7,2,5,3,6,1]=>[1,6,3,5,2,7,4]=>[3,1,6,2,5,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,7,2,5,6,1,3]=>[3,1,6,5,2,7,4]=>[3,1,6,5,2,7,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4]=>[3,1,6,5,2,4,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[4,7,2,6,1,3,5]=>[5,3,1,6,2,7,4]=>[5,1,6,3,7,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[4,7,2,6,1,5,3]=>[3,5,1,6,2,7,4]=>[3,1,5,2,6,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,7,2,6,3,1,5]=>[5,1,3,6,2,7,4]=>[5,1,6,3,4,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[4,7,2,6,3,5,1]=>[1,5,3,6,2,7,4]=>[5,1,6,3,4,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,7,2,6,5,1,3]=>[3,1,5,6,2,7,4]=>[3,1,5,2,6,7,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4]=>[3,1,5,2,4,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[4,7,3,1,2,5,6]=>[6,5,2,1,3,7,4]=>[6,2,3,7,5,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[4,7,3,1,2,6,5]=>[5,6,2,1,3,7,4]=>[5,2,6,7,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[4,7,3,1,5,2,6]=>[6,2,5,1,3,7,4]=>[2,1,6,7,3,5,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,3,1,5,6,2]=>[2,6,5,1,3,7,4]=>[2,1,6,7,5,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,7,3,1,6,2,5]=>[5,2,6,1,3,7,4]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]=>[2,1,5,6,3,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,7,3,2,1,5,6]=>[6,5,1,2,3,7,4]=>[6,1,2,3,7,5,4]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[4,7,3,2,1,6,5]=>[5,6,1,2,3,7,4]=>[5,1,2,6,7,3,4]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[4,7,3,2,5,1,6]=>[6,1,5,2,3,7,4]=>[6,1,2,7,3,5,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[4,7,3,2,5,6,1]=>[1,6,5,2,3,7,4]=>[6,1,2,7,5,3,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[4,7,3,2,6,1,5]=>[5,1,6,2,3,7,4]=>[5,1,2,6,3,7,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[4,7,3,2,6,5,1]=>[1,5,6,2,3,7,4]=>[5,1,6,7,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,7,3,5,1,2,6]=>[6,2,1,5,3,7,4]=>[2,1,6,3,7,5,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,7,3,5,1,6,2]=>[2,6,1,5,3,7,4]=>[2,1,6,5,7,3,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,7,3,5,2,1,6]=>[6,1,2,5,3,7,4]=>[6,1,7,2,3,5,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,7,3,5,2,6,1]=>[1,6,2,5,3,7,4]=>[6,1,7,2,5,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,7,3,5,6,1,2]=>[2,1,6,5,3,7,4]=>[2,1,6,5,3,7,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,7,3,5,6,2,1]=>[1,2,6,5,3,7,4]=>[6,1,7,5,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[4,7,3,6,1,2,5]=>[5,2,1,6,3,7,4]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[4,7,3,6,1,5,2]=>[2,5,1,6,3,7,4]=>[2,1,5,3,6,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,7,3,6,2,1,5]=>[5,1,2,6,3,7,4]=>[5,1,6,2,3,7,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4]=>[5,1,6,2,7,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,7,3,6,5,1,2]=>[2,1,5,6,3,7,4]=>[2,1,5,3,6,7,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,7,3,6,5,2,1]=>[1,2,5,6,3,7,4]=>[5,1,6,2,3,4,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[4,7,5,1,2,3,6]=>[6,3,2,1,5,7,4]=>[3,2,6,7,5,4,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[4,7,5,1,2,6,3]=>[3,6,2,1,5,7,4]=>[3,2,6,7,5,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[4,7,5,1,3,2,6]=>[6,2,3,1,5,7,4]=>[2,1,3,6,5,7,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[4,7,5,1,3,6,2]=>[2,6,3,1,5,7,4]=>[2,1,3,6,5,4,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[4,7,5,1,6,2,3]=>[3,2,6,1,5,7,4]=>[3,2,6,7,1,5,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,7,5,1,6,3,2]=>[2,3,6,1,5,7,4]=>[6,2,3,5,1,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,7,5,2,1,3,6]=>[6,3,1,2,5,7,4]=>[3,1,2,6,7,5,4]=>[[.,.],[.,[[[.,[.,.]],.],.]]]
[4,7,5,2,1,6,3]=>[3,6,1,2,5,7,4]=>[6,1,3,5,7,2,4]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,7,5,2,3,1,6]=>[6,1,3,2,5,7,4]=>[3,1,2,6,5,7,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[4,7,5,2,3,6,1]=>[1,6,3,2,5,7,4]=>[3,1,2,6,5,4,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[4,7,5,2,6,1,3]=>[3,1,6,2,5,7,4]=>[6,1,3,5,2,7,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,5,2,6,3,1]=>[1,3,6,2,5,7,4]=>[6,1,3,5,2,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,7,5,3,1,2,6]=>[6,2,1,3,5,7,4]=>[2,1,3,6,7,5,4]=>[[.,.],[.,[[[.,[.,.]],.],.]]]
[4,7,5,3,1,6,2]=>[2,6,1,3,5,7,4]=>[6,2,3,5,7,1,4]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[4,7,5,3,2,1,6]=>[6,1,2,3,5,7,4]=>[6,1,2,3,5,7,4]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[4,7,5,3,2,6,1]=>[1,6,2,3,5,7,4]=>[6,1,2,3,5,4,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[4,7,5,3,6,1,2]=>[2,1,6,3,5,7,4]=>[6,2,3,5,1,7,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,7,5,3,6,2,1]=>[1,2,6,3,5,7,4]=>[6,1,2,5,3,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[4,7,5,6,1,2,3]=>[3,2,1,6,5,7,4]=>[3,2,6,1,7,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,7,5,6,1,3,2]=>[2,3,1,6,5,7,4]=>[6,2,3,1,5,4,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,7,5,6,2,1,3]=>[3,1,2,6,5,7,4]=>[6,1,3,2,5,7,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,7,5,6,2,3,1]=>[1,3,2,6,5,7,4]=>[6,1,3,2,5,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,7,5,6,3,1,2]=>[2,1,3,6,5,7,4]=>[6,2,3,1,5,7,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[4,7,5,6,3,2,1]=>[1,2,3,6,5,7,4]=>[6,1,5,2,3,4,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[4,7,6,1,2,3,5]=>[5,3,2,1,6,7,4]=>[5,3,6,7,4,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[4,7,6,1,2,5,3]=>[3,5,2,1,6,7,4]=>[3,2,5,6,4,1,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[4,7,6,1,3,2,5]=>[5,2,3,1,6,7,4]=>[5,2,3,6,4,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[4,7,6,1,3,5,2]=>[2,5,3,1,6,7,4]=>[5,2,3,6,4,1,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[4,7,6,1,5,2,3]=>[3,2,5,1,6,7,4]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[2,1,3,5,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[4,7,6,2,1,3,5]=>[5,3,1,2,6,7,4]=>[5,1,3,6,7,4,2]=>[[.,.],[[.,[[.,[.,.]],.]],.]]
[4,7,6,2,1,5,3]=>[3,5,1,2,6,7,4]=>[3,1,5,6,7,2,4]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,7,6,2,3,1,5]=>[5,1,3,2,6,7,4]=>[5,1,3,6,4,7,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[4,7,6,2,3,5,1]=>[1,5,3,2,6,7,4]=>[5,1,3,6,4,2,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[4,7,6,2,5,1,3]=>[3,1,5,2,6,7,4]=>[3,1,5,6,2,7,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,6,2,5,3,1]=>[1,3,5,2,6,7,4]=>[3,1,2,5,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[4,7,6,3,1,2,5]=>[5,2,1,3,6,7,4]=>[5,2,3,6,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[4,7,6,3,1,5,2]=>[2,5,1,3,6,7,4]=>[2,1,5,6,7,3,4]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,7,6,3,2,1,5]=>[5,1,2,3,6,7,4]=>[5,1,2,3,6,7,4]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[4,7,6,3,2,5,1]=>[1,5,2,3,6,7,4]=>[5,1,2,3,6,4,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[4,7,6,3,5,1,2]=>[2,1,5,3,6,7,4]=>[2,1,5,6,3,7,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,6,3,5,2,1]=>[1,2,5,3,6,7,4]=>[5,1,2,6,3,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[4,7,6,5,1,2,3]=>[3,2,1,5,6,7,4]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[4,7,6,5,1,3,2]=>[2,3,1,5,6,7,4]=>[2,1,3,5,6,4,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[4,7,6,5,2,1,3]=>[3,1,2,5,6,7,4]=>[3,1,2,5,6,7,4]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[4,7,6,5,2,3,1]=>[1,3,2,5,6,7,4]=>[3,1,2,5,6,4,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[4,7,6,5,3,1,2]=>[2,1,3,5,6,7,4]=>[2,1,3,5,6,7,4]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[4,7,6,5,3,2,1]=>[1,2,3,5,6,7,4]=>[5,1,2,3,4,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[5,1,2,3,4,6,7]=>[7,6,4,3,2,1,5]=>[4,7,6,5,3,2,1]=>[[[[.,[[[.,.],.],.]],.],.],.]
[5,1,2,3,4,7,6]=>[6,7,4,3,2,1,5]=>[6,7,4,3,2,1,5]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[5,1,2,3,6,4,7]=>[7,4,6,3,2,1,5]=>[4,7,6,3,2,5,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[5,1,2,3,6,7,4]=>[4,7,6,3,2,1,5]=>[4,7,6,3,2,1,5]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[5,1,2,3,7,4,6]=>[6,4,7,3,2,1,5]=>[6,7,4,3,2,5,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[5,1,2,3,7,6,4]=>[4,6,7,3,2,1,5]=>[4,6,3,2,1,5,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[5,1,2,4,3,6,7]=>[7,6,3,4,2,1,5]=>[3,7,6,4,5,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[5,1,2,4,3,7,6]=>[6,7,3,4,2,1,5]=>[3,6,4,2,7,1,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[5,1,2,4,6,3,7]=>[7,3,6,4,2,1,5]=>[3,7,6,4,2,5,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[5,1,2,4,6,7,3]=>[3,7,6,4,2,1,5]=>[3,7,6,4,2,1,5]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[5,1,2,4,7,3,6]=>[6,3,7,4,2,1,5]=>[3,6,4,2,1,7,5]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,1,2,4,7,6,3]=>[3,6,7,4,2,1,5]=>[6,7,3,2,1,4,5]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[5,1,2,6,3,4,7]=>[7,4,3,6,2,1,5]=>[4,7,6,3,5,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[5,1,2,6,3,7,4]=>[4,7,3,6,2,1,5]=>[4,7,3,2,6,1,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,1,2,6,4,3,7]=>[7,3,4,6,2,1,5]=>[3,7,6,2,4,5,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,1,2,6,4,7,3]=>[3,7,4,6,2,1,5]=>[3,7,6,2,4,1,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[5,1,2,6,7,3,4]=>[4,3,7,6,2,1,5]=>[4,7,3,2,1,6,5]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,1,2,6,7,4,3]=>[3,4,7,6,2,1,5]=>[3,7,6,2,1,4,5]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[5,1,2,7,3,4,6]=>[6,4,3,7,2,1,5]=>[6,7,4,3,5,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[5,1,2,7,3,6,4]=>[4,6,3,7,2,1,5]=>[4,6,3,2,5,1,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,1,2,7,4,3,6]=>[6,3,4,7,2,1,5]=>[6,7,3,2,4,5,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,1,2,7,4,6,3]=>[3,6,4,7,2,1,5]=>[6,7,3,2,4,1,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,1,2,7,6,3,4]=>[4,3,6,7,2,1,5]=>[4,6,3,2,5,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,1,2,7,6,4,3]=>[3,4,6,7,2,1,5]=>[3,6,2,1,4,5,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[5,1,3,2,4,6,7]=>[7,6,4,2,3,1,5]=>[2,7,4,6,5,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[5,1,3,2,4,7,6]=>[6,7,4,2,3,1,5]=>[2,6,4,7,3,1,5]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[5,1,3,2,6,4,7]=>[7,4,6,2,3,1,5]=>[2,7,4,6,3,5,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[5,1,3,2,6,7,4]=>[4,7,6,2,3,1,5]=>[2,7,4,6,3,1,5]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[5,1,3,2,7,4,6]=>[6,4,7,2,3,1,5]=>[2,6,4,7,3,5,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[5,1,3,2,7,6,4]=>[4,6,7,2,3,1,5]=>[4,6,2,7,1,3,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,1,3,4,2,6,7]=>[7,6,2,4,3,1,5]=>[2,7,6,4,5,3,1]=>[[.,[[[[.,.],.],[.,.]],.]],.]
[5,1,3,4,2,7,6]=>[6,7,2,4,3,1,5]=>[2,6,4,3,7,1,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[5,1,3,4,6,2,7]=>[7,2,6,4,3,1,5]=>[2,7,6,4,3,5,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[5,1,3,4,6,7,2]=>[2,7,6,4,3,1,5]=>[2,7,6,4,3,1,5]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[5,1,3,4,7,2,6]=>[6,2,7,4,3,1,5]=>[2,6,4,3,1,7,5]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,3,4,7,6,2]=>[2,6,7,4,3,1,5]=>[6,7,4,2,1,3,5]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[5,1,3,6,2,4,7]=>[7,4,2,6,3,1,5]=>[2,7,4,3,6,5,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[5,1,3,6,2,7,4]=>[4,7,2,6,3,1,5]=>[2,7,4,3,6,1,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[5,1,3,6,4,2,7]=>[7,2,4,6,3,1,5]=>[4,7,6,2,3,5,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,1,3,6,4,7,2]=>[2,7,4,6,3,1,5]=>[4,7,6,2,3,1,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[5,1,3,6,7,2,4]=>[4,2,7,6,3,1,5]=>[2,7,4,3,1,6,5]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,3,6,7,4,2]=>[2,4,7,6,3,1,5]=>[4,7,6,2,1,3,5]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[5,1,3,7,2,4,6]=>[6,4,2,7,3,1,5]=>[2,6,4,3,7,5,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[5,1,3,7,2,6,4]=>[4,6,2,7,3,1,5]=>[4,6,2,1,7,3,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,1,3,7,4,2,6]=>[6,2,4,7,3,1,5]=>[6,7,4,2,3,5,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,1,3,7,4,6,2]=>[2,6,4,7,3,1,5]=>[6,7,4,2,3,1,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,1,3,7,6,2,4]=>[4,2,6,7,3,1,5]=>[4,6,2,1,3,7,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[5,1,3,7,6,4,2]=>[2,4,6,7,3,1,5]=>[4,6,2,1,3,5,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[5,1,4,2,3,6,7]=>[7,6,3,2,4,1,5]=>[3,7,4,6,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[5,1,4,2,3,7,6]=>[6,7,3,2,4,1,5]=>[3,6,4,7,2,1,5]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[5,1,4,2,6,3,7]=>[7,3,6,2,4,1,5]=>[3,7,4,6,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[5,1,4,2,6,7,3]=>[3,7,6,2,4,1,5]=>[3,7,4,6,2,1,5]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[5,1,4,2,7,3,6]=>[6,3,7,2,4,1,5]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[5,1,4,2,7,6,3]=>[3,6,7,2,4,1,5]=>[3,6,2,7,1,4,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,1,4,3,2,6,7]=>[7,6,2,3,4,1,5]=>[2,7,3,4,6,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[5,1,4,3,2,7,6]=>[6,7,2,3,4,1,5]=>[2,6,3,4,7,1,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[5,1,4,3,6,2,7]=>[7,2,6,3,4,1,5]=>[2,7,3,6,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[5,1,4,3,6,7,2]=>[2,7,6,3,4,1,5]=>[2,7,3,6,4,1,5]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[5,1,4,3,7,2,6]=>[6,2,7,3,4,1,5]=>[2,6,3,4,1,7,5]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,1,4,3,7,6,2]=>[2,6,7,3,4,1,5]=>[2,6,3,7,1,4,5]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[5,1,4,6,2,3,7]=>[7,3,2,6,4,1,5]=>[3,7,4,2,6,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,1,4,6,2,7,3]=>[3,7,2,6,4,1,5]=>[3,7,4,2,6,1,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[5,1,4,6,3,2,7]=>[7,2,3,6,4,1,5]=>[2,7,6,3,4,5,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[5,1,4,6,3,7,2]=>[2,7,3,6,4,1,5]=>[2,7,6,3,4,1,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[5,1,4,6,7,2,3]=>[3,2,7,6,4,1,5]=>[3,7,4,2,1,6,5]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,1,4,6,7,3,2]=>[2,3,7,6,4,1,5]=>[2,7,6,3,1,4,5]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[5,1,4,7,2,3,6]=>[6,3,2,7,4,1,5]=>[3,6,4,2,7,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,1,4,7,2,6,3]=>[3,6,2,7,4,1,5]=>[3,6,2,1,7,4,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,1,4,7,3,2,6]=>[6,2,3,7,4,1,5]=>[2,6,3,1,4,7,5]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[5,1,4,7,3,6,2]=>[2,6,3,7,4,1,5]=>[2,6,3,1,7,4,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,1,4,7,6,2,3]=>[3,2,6,7,4,1,5]=>[3,6,2,1,4,7,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[5,1,4,7,6,3,2]=>[2,3,6,7,4,1,5]=>[6,7,2,1,3,4,5]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[5,1,6,2,3,4,7]=>[7,4,3,2,6,1,5]=>[4,7,3,6,5,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[5,1,6,2,3,7,4]=>[4,7,3,2,6,1,5]=>[4,7,3,6,2,1,5]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[5,1,6,2,4,3,7]=>[7,3,4,2,6,1,5]=>[3,7,2,6,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,1,6,2,4,7,3]=>[3,7,4,2,6,1,5]=>[3,7,2,6,4,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,1,6,2,7,3,4]=>[4,3,7,2,6,1,5]=>[4,7,3,6,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[5,1,6,2,7,4,3]=>[3,4,7,2,6,1,5]=>[3,7,2,6,1,4,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,1,6,3,2,4,7]=>[7,4,2,3,6,1,5]=>[4,7,2,3,6,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[5,1,6,3,2,7,4]=>[4,7,2,3,6,1,5]=>[4,7,2,3,6,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,1,6,3,4,2,7]=>[7,2,4,3,6,1,5]=>[4,7,2,6,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,1,6,3,4,7,2]=>[2,7,4,3,6,1,5]=>[4,7,2,6,3,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,1,6,3,7,2,4]=>[4,2,7,3,6,1,5]=>[4,7,2,3,1,6,5]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,1,6,3,7,4,2]=>[2,4,7,3,6,1,5]=>[4,7,2,6,1,3,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,1,6,4,2,3,7]=>[7,3,2,4,6,1,5]=>[3,7,2,4,6,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[5,1,6,4,2,7,3]=>[3,7,2,4,6,1,5]=>[3,7,2,4,6,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,1,6,4,3,2,7]=>[7,2,3,4,6,1,5]=>[2,7,1,3,4,6,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[5,1,6,4,3,7,2]=>[2,7,3,4,6,1,5]=>[2,7,1,3,6,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[5,1,6,4,7,2,3]=>[3,2,7,4,6,1,5]=>[3,7,2,4,1,6,5]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,1,6,4,7,3,2]=>[2,3,7,4,6,1,5]=>[2,7,1,6,3,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,1,6,7,2,3,4]=>[4,3,2,7,6,1,5]=>[4,7,3,2,6,5,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,1,6,7,2,4,3]=>[3,4,2,7,6,1,5]=>[3,7,2,1,6,4,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,1,6,7,3,2,4]=>[4,2,3,7,6,1,5]=>[4,7,2,1,3,6,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[5,1,6,7,3,4,2]=>[2,4,3,7,6,1,5]=>[4,7,2,1,6,3,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,1,6,7,4,2,3]=>[3,2,4,7,6,1,5]=>[3,7,2,1,4,6,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[5,1,6,7,4,3,2]=>[2,3,4,7,6,1,5]=>[2,7,6,1,3,4,5]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[5,1,7,2,3,4,6]=>[6,4,3,2,7,1,5]=>[6,7,4,5,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[5,1,7,2,3,6,4]=>[4,6,3,2,7,1,5]=>[4,6,3,5,2,1,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[5,1,7,2,4,3,6]=>[6,3,4,2,7,1,5]=>[6,7,3,4,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[5,1,7,2,4,6,3]=>[3,6,4,2,7,1,5]=>[6,7,3,4,2,1,5]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[5,1,7,2,6,3,4]=>[4,3,6,2,7,1,5]=>[4,6,3,5,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[5,1,7,2,6,4,3]=>[3,4,6,2,7,1,5]=>[3,6,2,4,1,5,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,1,7,3,2,4,6]=>[6,4,2,3,7,1,5]=>[6,7,2,4,5,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,1,7,3,2,6,4]=>[4,6,2,3,7,1,5]=>[4,6,2,3,7,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,1,7,3,4,2,6]=>[6,2,4,3,7,1,5]=>[6,7,2,4,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,1,7,3,4,6,2]=>[2,6,4,3,7,1,5]=>[6,7,2,4,3,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,1,7,3,6,2,4]=>[4,2,6,3,7,1,5]=>[4,6,2,3,1,7,5]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,1,7,3,6,4,2]=>[2,4,6,3,7,1,5]=>[4,6,2,3,1,5,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,1,7,4,2,3,6]=>[6,3,2,4,7,1,5]=>[6,7,3,4,5,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[5,1,7,4,2,6,3]=>[3,6,2,4,7,1,5]=>[3,6,2,4,7,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,1,7,4,3,2,6]=>[6,2,3,4,7,1,5]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[5,1,7,4,3,6,2]=>[2,6,3,4,7,1,5]=>[6,7,2,3,4,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,1,7,4,6,2,3]=>[3,2,6,4,7,1,5]=>[3,6,2,4,1,7,5]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,1,7,4,6,3,2]=>[2,3,6,4,7,1,5]=>[6,7,2,3,1,4,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,1,7,6,2,3,4]=>[4,3,2,6,7,1,5]=>[4,6,3,5,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[5,1,7,6,2,4,3]=>[3,4,2,6,7,1,5]=>[3,6,2,4,5,1,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,1,7,6,3,2,4]=>[4,2,3,6,7,1,5]=>[4,6,2,3,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[5,1,7,6,3,4,2]=>[2,4,3,6,7,1,5]=>[4,6,2,3,5,1,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,1,7,6,4,2,3]=>[3,2,4,6,7,1,5]=>[3,6,2,4,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[5,1,7,6,4,3,2]=>[2,3,4,6,7,1,5]=>[2,6,1,3,4,5,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[5,2,1,3,4,6,7]=>[7,6,4,3,1,2,5]=>[1,4,7,6,5,3,2]=>[.,[[[.,[[[.,.],.],.]],.],.]]
[5,2,1,3,4,7,6]=>[6,7,4,3,1,2,5]=>[1,6,7,4,3,2,5]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[5,2,1,3,6,4,7]=>[7,4,6,3,1,2,5]=>[1,4,7,6,3,5,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[5,2,1,3,6,7,4]=>[4,7,6,3,1,2,5]=>[1,4,7,6,3,2,5]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[5,2,1,3,7,4,6]=>[6,4,7,3,1,2,5]=>[1,6,7,4,3,5,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[5,2,1,3,7,6,4]=>[4,6,7,3,1,2,5]=>[4,6,7,3,1,2,5]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[5,2,1,4,3,6,7]=>[7,6,3,4,1,2,5]=>[3,4,7,1,6,5,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[5,2,1,4,3,7,6]=>[6,7,3,4,1,2,5]=>[3,6,7,4,5,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[5,2,1,4,6,3,7]=>[7,3,6,4,1,2,5]=>[3,4,7,6,1,5,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[5,2,1,4,6,7,3]=>[3,7,6,4,1,2,5]=>[3,4,7,6,5,1,2]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[5,2,1,4,7,3,6]=>[6,3,7,4,1,2,5]=>[3,6,7,4,1,5,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[5,2,1,4,7,6,3]=>[3,6,7,4,1,2,5]=>[3,6,7,4,1,2,5]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[5,2,1,6,3,4,7]=>[7,4,3,6,1,2,5]=>[1,4,7,3,6,5,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[5,2,1,6,3,7,4]=>[4,7,3,6,1,2,5]=>[1,4,7,3,6,2,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,2,1,6,4,3,7]=>[7,3,4,6,1,2,5]=>[3,4,7,1,2,6,5]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[5,2,1,6,4,7,3]=>[3,7,4,6,1,2,5]=>[3,4,7,1,6,2,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,2,1,6,7,3,4]=>[4,3,7,6,1,2,5]=>[1,4,7,3,2,6,5]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[5,2,1,6,7,4,3]=>[3,4,7,6,1,2,5]=>[3,4,7,6,1,2,5]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[5,2,1,7,3,4,6]=>[6,4,3,7,1,2,5]=>[1,6,7,4,5,3,2]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[5,2,1,7,3,6,4]=>[4,6,3,7,1,2,5]=>[4,6,7,1,3,2,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,2,1,7,4,3,6]=>[6,3,4,7,1,2,5]=>[3,6,7,1,4,5,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,2,1,7,4,6,3]=>[3,6,4,7,1,2,5]=>[3,6,7,1,4,2,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,2,1,7,6,3,4]=>[4,3,6,7,1,2,5]=>[4,6,7,1,3,5,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,2,1,7,6,4,3]=>[3,4,6,7,1,2,5]=>[3,4,6,1,2,5,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[5,2,3,1,4,6,7]=>[7,6,4,1,3,2,5]=>[1,7,4,6,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[5,2,3,1,4,7,6]=>[6,7,4,1,3,2,5]=>[1,6,4,7,3,2,5]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[5,2,3,1,6,4,7]=>[7,4,6,1,3,2,5]=>[1,7,4,6,3,5,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[5,2,3,1,6,7,4]=>[4,7,6,1,3,2,5]=>[1,7,4,6,3,2,5]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[5,2,3,1,7,4,6]=>[6,4,7,1,3,2,5]=>[1,6,4,7,3,5,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[5,2,3,1,7,6,4]=>[4,6,7,1,3,2,5]=>[4,6,3,7,1,2,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,2,3,4,1,6,7]=>[7,6,1,4,3,2,5]=>[1,7,6,4,5,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[5,2,3,4,1,7,6]=>[6,7,1,4,3,2,5]=>[1,6,4,3,7,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,2,3,4,6,1,7]=>[7,1,6,4,3,2,5]=>[1,7,6,4,3,5,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]
[5,2,3,4,6,7,1]=>[1,7,6,4,3,2,5]=>[1,7,6,4,3,2,5]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[5,2,3,4,7,1,6]=>[6,1,7,4,3,2,5]=>[1,6,4,3,2,7,5]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[5,2,3,4,7,6,1]=>[1,6,7,4,3,2,5]=>[6,7,4,3,1,2,5]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[5,2,3,6,1,4,7]=>[7,4,1,6,3,2,5]=>[1,7,4,3,6,5,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]
[5,2,3,6,1,7,4]=>[4,7,1,6,3,2,5]=>[1,7,4,3,6,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,2,3,6,4,1,7]=>[7,1,4,6,3,2,5]=>[4,7,6,1,3,5,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[5,2,3,6,4,7,1]=>[1,7,4,6,3,2,5]=>[4,7,6,1,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,2,3,6,7,1,4]=>[4,1,7,6,3,2,5]=>[1,7,4,3,2,6,5]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[5,2,3,6,7,4,1]=>[1,4,7,6,3,2,5]=>[4,7,6,3,1,2,5]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[5,2,3,7,1,4,6]=>[6,4,1,7,3,2,5]=>[1,6,4,3,7,5,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]
[5,2,3,7,1,6,4]=>[4,6,1,7,3,2,5]=>[4,6,3,1,7,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,2,3,7,4,1,6]=>[6,1,4,7,3,2,5]=>[6,7,4,1,3,5,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[5,2,3,7,4,6,1]=>[1,6,4,7,3,2,5]=>[6,7,4,1,3,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,2,3,7,6,1,4]=>[4,1,6,7,3,2,5]=>[4,6,3,1,2,7,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[5,2,3,7,6,4,1]=>[1,4,6,7,3,2,5]=>[4,6,3,1,2,5,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[5,2,4,1,3,6,7]=>[7,6,3,1,4,2,5]=>[3,4,1,7,6,5,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,2,4,1,3,7,6]=>[6,7,3,1,4,2,5]=>[3,6,4,7,5,1,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[5,2,4,1,6,3,7]=>[7,3,6,1,4,2,5]=>[3,7,4,6,1,5,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,2,4,1,6,7,3]=>[3,7,6,1,4,2,5]=>[3,7,4,6,5,1,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[5,2,4,1,7,3,6]=>[6,3,7,1,4,2,5]=>[3,6,4,7,1,5,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,2,4,1,7,6,3]=>[3,6,7,1,4,2,5]=>[3,6,4,7,1,2,5]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[5,2,4,3,1,6,7]=>[7,6,1,3,4,2,5]=>[1,7,3,4,6,5,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[5,2,4,3,1,7,6]=>[6,7,1,3,4,2,5]=>[1,6,3,4,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,2,4,3,6,1,7]=>[7,1,6,3,4,2,5]=>[1,7,3,6,4,5,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[5,2,4,3,6,7,1]=>[1,7,6,3,4,2,5]=>[1,7,3,6,4,2,5]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[5,2,4,3,7,1,6]=>[6,1,7,3,4,2,5]=>[1,6,3,4,2,7,5]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[5,2,4,3,7,6,1]=>[1,6,7,3,4,2,5]=>[1,6,3,7,2,4,5]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[5,2,4,6,1,3,7]=>[7,3,1,6,4,2,5]=>[3,7,4,1,6,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,2,4,6,1,7,3]=>[3,7,1,6,4,2,5]=>[3,7,6,4,5,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[5,2,4,6,3,1,7]=>[7,1,3,6,4,2,5]=>[1,7,6,3,4,5,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[5,2,4,6,3,7,1]=>[1,7,3,6,4,2,5]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,2,4,6,7,1,3]=>[3,1,7,6,4,2,5]=>[3,7,6,4,1,5,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,2,4,6,7,3,1]=>[1,3,7,6,4,2,5]=>[1,7,6,3,2,4,5]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[5,2,4,7,1,3,6]=>[6,3,1,7,4,2,5]=>[3,6,4,1,7,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,2,4,7,1,6,3]=>[3,6,1,7,4,2,5]=>[3,6,4,1,7,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,2,4,7,3,1,6]=>[6,1,3,7,4,2,5]=>[1,6,3,2,4,7,5]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[5,2,4,7,3,6,1]=>[1,6,3,7,4,2,5]=>[1,6,3,2,7,4,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,2,4,7,6,1,3]=>[3,1,6,7,4,2,5]=>[3,6,4,1,2,7,5]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[5,2,4,7,6,3,1]=>[1,3,6,7,4,2,5]=>[6,7,3,1,2,4,5]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[5,2,6,1,3,4,7]=>[7,4,3,1,6,2,5]=>[1,4,3,7,6,5,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[5,2,6,1,3,7,4]=>[4,7,3,1,6,2,5]=>[1,4,3,7,6,2,5]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[5,2,6,1,4,3,7]=>[7,3,4,1,6,2,5]=>[3,4,1,7,2,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,2,6,1,4,7,3]=>[3,7,4,1,6,2,5]=>[3,4,1,7,6,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,2,6,1,7,3,4]=>[4,3,7,1,6,2,5]=>[1,4,3,7,2,6,5]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[5,2,6,1,7,4,3]=>[3,4,7,1,6,2,5]=>[3,7,4,6,1,2,5]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[5,2,6,3,1,4,7]=>[7,4,1,3,6,2,5]=>[4,7,1,3,6,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[5,2,6,3,1,7,4]=>[4,7,1,3,6,2,5]=>[4,7,1,3,6,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,2,6,3,4,1,7]=>[7,1,4,3,6,2,5]=>[4,7,1,6,3,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[5,2,6,3,4,7,1]=>[1,7,4,3,6,2,5]=>[4,7,1,6,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,2,6,3,7,1,4]=>[4,1,7,3,6,2,5]=>[4,7,1,3,2,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,2,6,3,7,4,1]=>[1,4,7,3,6,2,5]=>[4,7,3,6,1,2,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,2,6,4,1,3,7]=>[7,3,1,4,6,2,5]=>[3,4,1,2,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[5,2,6,4,1,7,3]=>[3,7,1,4,6,2,5]=>[3,7,1,4,6,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,2,6,4,3,1,7]=>[7,1,3,4,6,2,5]=>[3,7,1,2,4,6,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[5,2,6,4,3,7,1]=>[1,7,3,4,6,2,5]=>[3,7,1,2,6,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[5,2,6,4,7,1,3]=>[3,1,7,4,6,2,5]=>[3,7,1,4,2,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,2,6,4,7,3,1]=>[1,3,7,4,6,2,5]=>[3,7,1,6,2,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,2,6,7,1,3,4]=>[4,3,1,7,6,2,5]=>[1,4,3,2,7,6,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[5,2,6,7,1,4,3]=>[3,4,1,7,6,2,5]=>[3,7,4,1,6,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,2,6,7,3,1,4]=>[4,1,3,7,6,2,5]=>[4,7,3,1,2,6,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[5,2,6,7,3,4,1]=>[1,4,3,7,6,2,5]=>[4,7,3,1,6,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,2,6,7,4,1,3]=>[3,1,4,7,6,2,5]=>[3,7,4,1,2,6,5]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[5,2,6,7,4,3,1]=>[1,3,4,7,6,2,5]=>[3,7,6,1,2,4,5]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[5,2,7,1,3,4,6]=>[6,4,3,1,7,2,5]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[5,2,7,1,3,6,4]=>[4,6,3,1,7,2,5]=>[4,6,1,7,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,2,7,1,4,3,6]=>[6,3,4,1,7,2,5]=>[3,6,1,7,4,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[5,2,7,1,4,6,3]=>[3,6,4,1,7,2,5]=>[3,6,1,7,4,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,2,7,1,6,3,4]=>[4,3,6,1,7,2,5]=>[4,6,1,7,3,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[5,2,7,1,6,4,3]=>[3,4,6,1,7,2,5]=>[3,4,1,6,2,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,2,7,3,1,4,6]=>[6,4,1,3,7,2,5]=>[6,7,1,4,5,3,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[5,2,7,3,1,6,4]=>[4,6,1,3,7,2,5]=>[4,6,1,3,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,2,7,3,4,1,6]=>[6,1,4,3,7,2,5]=>[6,7,1,4,3,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[5,2,7,3,4,6,1]=>[1,6,4,3,7,2,5]=>[6,7,1,4,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,2,7,3,6,1,4]=>[4,1,6,3,7,2,5]=>[4,6,1,3,2,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,2,7,3,6,4,1]=>[1,4,6,3,7,2,5]=>[4,6,1,3,2,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,2,7,4,1,3,6]=>[6,3,1,4,7,2,5]=>[3,6,1,4,7,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,2,7,4,3,1,6]=>[6,1,3,4,7,2,5]=>[6,7,1,3,4,5,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[5,2,7,4,3,6,1]=>[1,6,3,4,7,2,5]=>[6,7,1,3,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,2,7,4,6,1,3]=>[3,1,6,4,7,2,5]=>[3,6,1,4,2,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,2,7,4,6,3,1]=>[1,3,6,4,7,2,5]=>[6,7,1,3,2,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,2,7,6,1,3,4]=>[4,3,1,6,7,2,5]=>[4,6,1,3,7,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5]=>[3,4,1,2,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[5,2,7,6,3,1,4]=>[4,1,3,6,7,2,5]=>[4,6,1,3,5,7,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[5,2,7,6,3,4,1]=>[1,4,3,6,7,2,5]=>[4,6,1,3,5,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,2,7,6,4,1,3]=>[3,1,4,6,7,2,5]=>[3,4,1,2,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,2,7,6,4,3,1]=>[1,3,4,6,7,2,5]=>[3,6,1,2,4,5,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[5,3,1,2,4,6,7]=>[7,6,4,2,1,3,5]=>[2,4,7,6,5,3,1]=>[[.,[[.,[[[.,.],.],.]],.]],.]
[5,3,1,2,4,7,6]=>[6,7,4,2,1,3,5]=>[2,6,7,4,3,1,5]=>[[.,[[[.,[.,.]],.],.]],[.,.]]
[5,3,1,2,6,4,7]=>[7,4,6,2,1,3,5]=>[2,4,7,6,3,5,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[5,3,1,2,6,7,4]=>[4,7,6,2,1,3,5]=>[2,4,7,6,3,1,5]=>[[.,[[.,[[.,.],.]],.]],[.,.]]
[5,3,1,2,7,4,6]=>[6,4,7,2,1,3,5]=>[2,6,7,4,3,5,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[5,3,1,2,7,6,4]=>[4,6,7,2,1,3,5]=>[4,6,7,2,1,3,5]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[5,3,1,4,2,6,7]=>[7,6,2,4,1,3,5]=>[2,4,7,1,6,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[5,3,1,4,2,7,6]=>[6,7,2,4,1,3,5]=>[2,6,7,4,5,1,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[5,3,1,4,6,2,7]=>[7,2,6,4,1,3,5]=>[2,4,7,6,1,5,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[5,3,1,4,6,7,2]=>[2,7,6,4,1,3,5]=>[2,4,7,6,5,1,3]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[5,3,1,4,7,2,6]=>[6,2,7,4,1,3,5]=>[2,6,7,4,1,5,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[5,3,1,4,7,6,2]=>[2,6,7,4,1,3,5]=>[2,6,7,4,1,3,5]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[5,3,1,6,2,4,7]=>[7,4,2,6,1,3,5]=>[2,4,7,3,6,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[5,3,1,6,2,7,4]=>[4,7,2,6,1,3,5]=>[2,4,7,3,6,1,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[5,3,1,6,4,2,7]=>[7,2,4,6,1,3,5]=>[2,4,7,1,3,6,5]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[5,3,1,6,4,7,2]=>[2,7,4,6,1,3,5]=>[2,4,7,1,6,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,3,1,6,7,2,4]=>[4,2,7,6,1,3,5]=>[2,4,7,3,1,6,5]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[5,3,1,6,7,4,2]=>[2,4,7,6,1,3,5]=>[2,4,7,6,1,3,5]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[5,3,1,7,2,4,6]=>[6,4,2,7,1,3,5]=>[2,6,7,4,5,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[5,3,1,7,2,6,4]=>[4,6,2,7,1,3,5]=>[4,6,7,2,3,1,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[5,3,1,7,4,2,6]=>[6,2,4,7,1,3,5]=>[2,6,7,1,4,5,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,3,1,7,4,6,2]=>[2,6,4,7,1,3,5]=>[2,6,7,1,4,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,3,1,7,6,2,4]=>[4,2,6,7,1,3,5]=>[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,1,7,6,4,2]=>[2,4,6,7,1,3,5]=>[2,4,6,1,3,5,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[5,3,2,1,4,6,7]=>[7,6,4,1,2,3,5]=>[1,2,4,7,6,5,3]=>[.,[.,[[.,[[[.,.],.],.]],.]]]
[5,3,2,1,4,7,6]=>[6,7,4,1,2,3,5]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[5,3,2,1,6,4,7]=>[7,4,6,1,2,3,5]=>[1,2,4,7,3,6,5]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[5,3,2,1,6,7,4]=>[4,7,6,1,2,3,5]=>[1,2,4,7,6,3,5]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[5,3,2,1,7,4,6]=>[6,4,7,1,2,3,5]=>[1,2,6,7,4,5,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[5,3,2,1,7,6,4]=>[4,6,7,1,2,3,5]=>[1,4,6,7,2,3,5]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,3,2,4,1,6,7]=>[7,6,1,4,2,3,5]=>[1,2,7,4,6,5,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[5,3,2,4,1,7,6]=>[6,7,1,4,2,3,5]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,3,2,4,6,1,7]=>[7,1,6,4,2,3,5]=>[1,2,7,6,4,5,3]=>[.,[.,[[[[.,.],.],[.,.]],.]]]
[5,3,2,4,6,7,1]=>[1,7,6,4,2,3,5]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[5,3,2,4,7,1,6]=>[6,1,7,4,2,3,5]=>[1,2,6,4,3,7,5]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[5,3,2,4,7,6,1]=>[1,6,7,4,2,3,5]=>[1,6,7,4,2,3,5]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[5,3,2,6,1,4,7]=>[7,4,1,6,2,3,5]=>[1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[5,3,2,6,1,7,4]=>[4,7,1,6,2,3,5]=>[1,2,7,4,6,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,3,2,6,4,1,7]=>[7,1,4,6,2,3,5]=>[1,4,7,2,3,6,5]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[5,3,2,6,4,7,1]=>[1,7,4,6,2,3,5]=>[1,4,7,2,6,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,2,6,7,1,4]=>[4,1,7,6,2,3,5]=>[1,2,7,4,3,6,5]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[5,3,2,6,7,4,1]=>[1,4,7,6,2,3,5]=>[1,4,7,6,2,3,5]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[5,3,2,7,1,4,6]=>[6,4,1,7,2,3,5]=>[1,2,6,4,7,5,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,2,7,4,1,6]=>[6,1,4,7,2,3,5]=>[1,6,7,2,4,5,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,3,2,7,4,6,1]=>[1,6,4,7,2,3,5]=>[1,6,7,2,4,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,2,7,6,1,4]=>[4,1,6,7,2,3,5]=>[1,4,6,2,3,7,5]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[5,3,2,7,6,4,1]=>[1,4,6,7,2,3,5]=>[4,6,7,1,2,3,5]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[5,3,4,1,2,6,7]=>[7,6,2,1,4,3,5]=>[2,4,1,7,6,5,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,3,4,1,2,7,6]=>[6,7,2,1,4,3,5]=>[2,6,4,7,5,1,3]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[5,3,4,1,6,2,7]=>[7,2,6,1,4,3,5]=>[2,7,4,6,1,5,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,3,4,1,6,7,2]=>[2,7,6,1,4,3,5]=>[2,7,4,6,5,1,3]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[5,3,4,1,7,2,6]=>[6,2,7,1,4,3,5]=>[2,6,4,7,1,5,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,3,4,1,7,6,2]=>[2,6,7,1,4,3,5]=>[2,6,4,7,1,3,5]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[5,3,4,2,1,6,7]=>[7,6,1,2,4,3,5]=>[1,7,2,4,6,5,3]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[5,3,4,2,1,7,6]=>[6,7,1,2,4,3,5]=>[1,6,2,4,7,3,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,3,4,2,6,1,7]=>[7,1,6,2,4,3,5]=>[1,7,2,6,4,5,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5]=>[1,7,2,6,4,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,3,4,2,7,1,6]=>[6,1,7,2,4,3,5]=>[1,6,2,4,3,7,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,3,4,2,7,6,1]=>[1,6,7,2,4,3,5]=>[1,6,4,7,2,3,5]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[5,3,4,6,1,2,7]=>[7,2,1,6,4,3,5]=>[2,7,4,1,6,5,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,3,4,6,1,7,2]=>[2,7,1,6,4,3,5]=>[2,7,6,4,5,1,3]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[5,3,4,6,2,1,7]=>[7,1,2,6,4,3,5]=>[1,7,6,2,4,5,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[5,3,4,6,2,7,1]=>[1,7,2,6,4,3,5]=>[1,7,6,2,4,3,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,3,4,6,7,1,2]=>[2,1,7,6,4,3,5]=>[2,7,6,4,1,5,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,3,4,6,7,2,1]=>[1,2,7,6,4,3,5]=>[1,7,6,4,2,3,5]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[5,3,4,7,1,2,6]=>[6,2,1,7,4,3,5]=>[2,6,4,1,7,5,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,3,4,7,1,6,2]=>[2,6,1,7,4,3,5]=>[2,6,4,1,7,3,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,3,4,7,2,1,6]=>[6,1,2,7,4,3,5]=>[1,6,4,2,3,7,5]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[5,3,4,7,2,6,1]=>[1,6,2,7,4,3,5]=>[1,6,4,2,7,3,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,3,4,7,6,1,2]=>[2,1,6,7,4,3,5]=>[2,6,4,1,3,7,5]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[5,3,4,7,6,2,1]=>[1,2,6,7,4,3,5]=>[6,7,4,1,2,3,5]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[5,3,6,1,2,4,7]=>[7,4,2,1,6,3,5]=>[2,4,3,7,6,5,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[5,3,6,1,2,7,4]=>[4,7,2,1,6,3,5]=>[2,4,3,7,6,1,5]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[5,3,6,1,4,2,7]=>[7,2,4,1,6,3,5]=>[2,4,1,7,3,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,3,6,1,4,7,2]=>[2,7,4,1,6,3,5]=>[2,4,1,7,6,3,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,3,6,1,7,2,4]=>[4,2,7,1,6,3,5]=>[2,4,3,7,1,6,5]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,3,6,1,7,4,2]=>[2,4,7,1,6,3,5]=>[2,7,4,6,1,3,5]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[5,3,6,2,1,4,7]=>[7,4,1,2,6,3,5]=>[1,4,2,3,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[5,3,6,2,1,7,4]=>[4,7,1,2,6,3,5]=>[1,7,2,4,6,3,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,3,6,2,4,1,7]=>[7,1,4,2,6,3,5]=>[1,4,2,7,3,6,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5]=>[1,4,2,7,6,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,3,6,2,7,1,4]=>[4,1,7,2,6,3,5]=>[1,7,2,4,3,6,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,3,6,2,7,4,1]=>[1,4,7,2,6,3,5]=>[1,7,4,6,2,3,5]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[5,3,6,4,1,2,7]=>[7,2,1,4,6,3,5]=>[2,4,1,3,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[5,3,6,4,1,7,2]=>[2,7,1,4,6,3,5]=>[2,7,1,4,6,3,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,3,6,4,2,1,7]=>[7,1,2,4,6,3,5]=>[4,7,1,2,3,6,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[5,3,6,4,2,7,1]=>[1,7,2,4,6,3,5]=>[4,7,1,2,6,3,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[5,3,6,4,7,1,2]=>[2,1,7,4,6,3,5]=>[2,7,1,4,3,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,3,6,4,7,2,1]=>[1,2,7,4,6,3,5]=>[4,7,1,6,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,3,6,7,1,2,4]=>[4,2,1,7,6,3,5]=>[2,4,3,1,7,6,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,3,6,7,1,4,2]=>[2,4,1,7,6,3,5]=>[2,7,4,1,6,3,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,3,6,7,2,1,4]=>[4,1,2,7,6,3,5]=>[1,7,4,2,3,6,5]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[5,3,6,7,2,4,1]=>[1,4,2,7,6,3,5]=>[1,7,4,2,6,3,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,3,6,7,4,1,2]=>[2,1,4,7,6,3,5]=>[2,7,4,1,3,6,5]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[5,3,6,7,4,2,1]=>[1,2,4,7,6,3,5]=>[4,7,6,1,2,3,5]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[5,3,7,1,2,4,6]=>[6,4,2,1,7,3,5]=>[2,6,4,7,5,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[5,3,7,1,2,6,4]=>[4,6,2,1,7,3,5]=>[4,6,2,7,3,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,3,7,1,4,2,6]=>[6,2,4,1,7,3,5]=>[2,6,1,7,4,5,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[5,3,7,1,4,6,2]=>[2,6,4,1,7,3,5]=>[2,6,1,7,4,3,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,3,7,1,6,2,4]=>[4,2,6,1,7,3,5]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,3,7,1,6,4,2]=>[2,4,6,1,7,3,5]=>[2,4,1,6,3,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,3,7,2,1,4,6]=>[6,4,1,2,7,3,5]=>[1,6,2,4,7,5,3]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[5,3,7,2,1,6,4]=>[4,6,1,2,7,3,5]=>[1,4,2,6,7,3,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,3,7,2,4,1,6]=>[6,1,4,2,7,3,5]=>[1,6,2,7,4,5,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[5,3,7,2,4,6,1]=>[1,6,4,2,7,3,5]=>[1,6,2,7,4,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,3,7,2,6,1,4]=>[4,1,6,2,7,3,5]=>[1,4,2,6,3,7,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,3,7,4,1,2,6]=>[6,2,1,4,7,3,5]=>[2,6,1,4,7,5,3]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[5,3,7,4,1,6,2]=>[2,6,1,4,7,3,5]=>[2,6,1,4,7,3,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,3,7,4,2,1,6]=>[6,1,2,4,7,3,5]=>[6,7,1,2,4,5,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,3,7,4,2,6,1]=>[1,6,2,4,7,3,5]=>[6,7,1,2,4,3,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[5,3,7,4,6,1,2]=>[2,1,6,4,7,3,5]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,3,7,4,6,2,1]=>[1,2,6,4,7,3,5]=>[6,7,1,4,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,3,7,6,1,2,4]=>[4,2,1,6,7,3,5]=>[4,6,2,3,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[5,3,7,6,1,4,2]=>[2,4,1,6,7,3,5]=>[2,4,1,3,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[5,3,7,6,2,1,4]=>[4,1,2,6,7,3,5]=>[4,6,1,2,3,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[5,3,7,6,2,4,1]=>[1,4,2,6,7,3,5]=>[4,6,1,2,7,3,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[5,3,7,6,4,1,2]=>[2,1,4,6,7,3,5]=>[2,4,1,3,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,3,7,6,4,2,1]=>[1,2,4,6,7,3,5]=>[4,6,1,2,3,5,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[5,4,1,2,3,6,7]=>[7,6,3,2,1,4,5]=>[3,4,7,6,5,2,1]=>[[[.,[.,[[[.,.],.],.]]],.],.]
[5,4,1,2,3,7,6]=>[6,7,3,2,1,4,5]=>[3,6,7,4,2,1,5]=>[[[.,[[.,[.,.]],.]],.],[.,.]]
[5,4,1,2,6,3,7]=>[7,3,6,2,1,4,5]=>[3,4,7,6,2,5,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[5,4,1,2,6,7,3]=>[3,7,6,2,1,4,5]=>[3,4,7,6,2,1,5]=>[[[.,[.,[[.,.],.]]],.],[.,.]]
[5,4,1,2,7,3,6]=>[6,3,7,2,1,4,5]=>[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[5,4,1,2,7,6,3]=>[3,6,7,2,1,4,5]=>[3,6,7,2,1,4,5]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[5,4,1,3,2,6,7]=>[7,6,2,3,1,4,5]=>[2,3,7,4,6,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[5,4,1,3,2,7,6]=>[6,7,2,3,1,4,5]=>[2,3,6,4,7,1,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[5,4,1,3,6,2,7]=>[7,2,6,3,1,4,5]=>[2,3,7,6,4,5,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[5,4,1,3,6,7,2]=>[2,7,6,3,1,4,5]=>[2,3,7,6,4,1,5]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[5,4,1,3,7,2,6]=>[6,2,7,3,1,4,5]=>[2,3,6,4,1,7,5]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[5,4,1,3,7,6,2]=>[2,6,7,3,1,4,5]=>[2,6,7,3,1,4,5]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[5,4,1,6,2,3,7]=>[7,3,2,6,1,4,5]=>[3,4,7,2,6,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,4,1,6,2,7,3]=>[3,7,2,6,1,4,5]=>[3,4,7,2,6,1,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[5,4,1,6,3,2,7]=>[7,2,3,6,1,4,5]=>[2,3,7,1,4,6,5]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[5,4,1,6,3,7,2]=>[2,7,3,6,1,4,5]=>[2,3,7,1,6,4,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,4,1,6,7,2,3]=>[3,2,7,6,1,4,5]=>[3,4,7,2,1,6,5]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[5,4,1,6,7,3,2]=>[2,3,7,6,1,4,5]=>[2,3,7,6,1,4,5]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[5,4,1,7,2,3,6]=>[6,3,2,7,1,4,5]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[5,4,1,7,2,6,3]=>[3,6,2,7,1,4,5]=>[3,6,7,2,4,1,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[5,4,1,7,3,2,6]=>[6,2,3,7,1,4,5]=>[2,6,7,3,4,5,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[5,4,1,7,3,6,2]=>[2,6,3,7,1,4,5]=>[2,6,7,3,4,1,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[5,4,1,7,6,2,3]=>[3,2,6,7,1,4,5]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,4,1,7,6,3,2]=>[2,3,6,7,1,4,5]=>[2,6,7,1,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[5,4,2,1,3,6,7]=>[7,6,3,1,2,4,5]=>[1,3,4,7,6,5,2]=>[.,[[.,[.,[[[.,.],.],.]]],.]]
[5,4,2,1,3,7,6]=>[6,7,3,1,2,4,5]=>[1,3,6,7,4,2,5]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[5,4,2,1,6,3,7]=>[7,3,6,1,2,4,5]=>[1,3,4,7,2,6,5]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[5,4,2,1,6,7,3]=>[3,7,6,1,2,4,5]=>[1,3,4,7,6,2,5]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[5,4,2,1,7,3,6]=>[6,3,7,1,2,4,5]=>[1,3,6,7,4,5,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[5,4,2,1,7,6,3]=>[3,6,7,1,2,4,5]=>[1,3,6,7,2,4,5]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,4,2,3,1,6,7]=>[7,6,1,3,2,4,5]=>[1,3,7,4,6,5,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[5,4,2,3,1,7,6]=>[6,7,1,3,2,4,5]=>[1,3,6,4,7,2,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,4,2,3,6,1,7]=>[7,1,6,3,2,4,5]=>[1,3,7,6,4,5,2]=>[.,[[.,[[[.,.],.],[.,.]]],.]]
[5,4,2,3,6,7,1]=>[1,7,6,3,2,4,5]=>[1,3,7,6,4,2,5]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[5,4,2,3,7,1,6]=>[6,1,7,3,2,4,5]=>[1,3,6,4,2,7,5]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[5,4,2,3,7,6,1]=>[1,6,7,3,2,4,5]=>[1,6,7,3,2,4,5]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[5,4,2,6,1,3,7]=>[7,3,1,6,2,4,5]=>[1,3,4,2,7,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,4,2,6,1,7,3]=>[3,7,1,6,2,4,5]=>[1,3,7,4,6,2,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,4,2,6,3,1,7]=>[7,1,3,6,2,4,5]=>[1,3,7,2,4,6,5]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[5,4,2,6,3,7,1]=>[1,7,3,6,2,4,5]=>[1,3,7,2,6,4,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,4,2,6,7,1,3]=>[3,1,7,6,2,4,5]=>[1,3,7,4,2,6,5]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[5,4,2,6,7,3,1]=>[1,3,7,6,2,4,5]=>[1,3,7,6,2,4,5]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[5,4,2,7,1,3,6]=>[6,3,1,7,2,4,5]=>[1,3,6,4,7,5,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[5,4,2,7,1,6,3]=>[3,6,1,7,2,4,5]=>[1,3,6,2,7,4,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,4,2,7,3,1,6]=>[6,1,3,7,2,4,5]=>[1,6,7,3,4,5,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[5,4,2,7,3,6,1]=>[1,6,3,7,2,4,5]=>[1,6,7,3,4,2,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,4,2,7,6,1,3]=>[3,1,6,7,2,4,5]=>[1,3,6,2,4,7,5]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[5,4,2,7,6,3,1]=>[1,3,6,7,2,4,5]=>[3,6,7,1,2,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[5,4,3,1,2,6,7]=>[7,6,2,1,3,4,5]=>[2,3,4,7,6,5,1]=>[[.,[.,[.,[[[.,.],.],.]]]],.]
[5,4,3,1,2,7,6]=>[6,7,2,1,3,4,5]=>[2,3,6,7,4,1,5]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]
[5,4,3,1,6,2,7]=>[7,2,6,1,3,4,5]=>[2,3,4,7,1,6,5]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,4,3,1,6,7,2]=>[2,7,6,1,3,4,5]=>[2,3,4,7,6,1,5]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[5,4,3,1,7,2,6]=>[6,2,7,1,3,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[5,4,3,1,7,6,2]=>[2,6,7,1,3,4,5]=>[2,3,6,7,1,4,5]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,4,3,2,6,1,7]=>[7,1,6,2,3,4,5]=>[1,2,3,7,4,6,5]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5]=>[1,2,3,7,6,4,5]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[5,4,3,2,7,1,6]=>[6,1,7,2,3,4,5]=>[1,2,3,6,4,7,5]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,4,3,6,1,2,7]=>[7,2,1,6,3,4,5]=>[2,3,4,1,7,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[5,4,3,6,1,7,2]=>[2,7,1,6,3,4,5]=>[2,3,7,4,6,1,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[5,4,3,6,2,1,7]=>[7,1,2,6,3,4,5]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[5,4,3,6,2,7,1]=>[1,7,2,6,3,4,5]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,4,3,6,7,1,2]=>[2,1,7,6,3,4,5]=>[2,3,7,4,1,6,5]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[5,4,3,6,7,2,1]=>[1,2,7,6,3,4,5]=>[1,2,7,6,3,4,5]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,4,3,7,1,2,6]=>[6,2,1,7,3,4,5]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[5,4,3,7,1,6,2]=>[2,6,1,7,3,4,5]=>[2,3,6,1,7,4,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,4,3,7,2,1,6]=>[6,1,2,7,3,4,5]=>[1,2,6,3,4,7,5]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[5,4,3,7,2,6,1]=>[1,6,2,7,3,4,5]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,4,3,7,6,1,2]=>[2,1,6,7,3,4,5]=>[2,3,6,1,4,7,5]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[5,4,3,7,6,2,1]=>[1,2,6,7,3,4,5]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,4,6,1,2,3,7]=>[7,3,2,1,6,4,5]=>[3,4,2,7,6,5,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,4,6,1,2,7,3]=>[3,7,2,1,6,4,5]=>[3,4,2,7,6,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,4,6,1,3,2,7]=>[7,2,3,1,6,4,5]=>[2,3,1,7,4,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,4,6,1,3,7,2]=>[2,7,3,1,6,4,5]=>[2,3,1,7,6,4,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,4,6,1,7,2,3]=>[3,2,7,1,6,4,5]=>[3,4,2,7,1,6,5]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,4,6,1,7,3,2]=>[2,3,7,1,6,4,5]=>[2,7,3,6,1,4,5]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[5,4,6,2,1,3,7]=>[7,3,1,2,6,4,5]=>[1,3,2,4,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[5,4,6,2,1,7,3]=>[3,7,1,2,6,4,5]=>[1,7,3,4,6,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,4,6,2,3,1,7]=>[7,1,3,2,6,4,5]=>[1,3,2,7,4,6,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,4,6,2,3,7,1]=>[1,7,3,2,6,4,5]=>[1,3,2,7,6,4,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[5,4,6,2,7,1,3]=>[3,1,7,2,6,4,5]=>[1,7,3,4,2,6,5]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[5,4,6,2,7,3,1]=>[1,3,7,2,6,4,5]=>[1,7,3,6,2,4,5]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[5,4,6,3,1,2,7]=>[7,2,1,3,6,4,5]=>[2,3,1,4,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[5,4,6,3,1,7,2]=>[2,7,1,3,6,4,5]=>[2,7,3,4,6,1,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[5,4,6,3,2,1,7]=>[7,1,2,3,6,4,5]=>[1,7,2,3,4,6,5]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[5,4,6,3,2,7,1]=>[1,7,2,3,6,4,5]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,6,3,7,1,2]=>[2,1,7,3,6,4,5]=>[2,7,3,4,1,6,5]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,4,6,3,7,2,1]=>[1,2,7,3,6,4,5]=>[1,7,2,6,3,4,5]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,4,6,7,1,2,3]=>[3,2,1,7,6,4,5]=>[3,4,2,1,7,6,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,4,6,7,1,3,2]=>[2,3,1,7,6,4,5]=>[2,7,3,1,6,4,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,4,6,7,2,1,3]=>[3,1,2,7,6,4,5]=>[1,7,3,2,4,6,5]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[5,4,6,7,2,3,1]=>[1,3,2,7,6,4,5]=>[1,7,3,2,6,4,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,4,6,7,3,1,2]=>[2,1,3,7,6,4,5]=>[2,7,3,1,4,6,5]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[5,4,6,7,3,2,1]=>[1,2,3,7,6,4,5]=>[1,7,6,2,3,4,5]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,4,7,1,2,3,6]=>[6,3,2,1,7,4,5]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[5,4,7,1,2,6,3]=>[3,6,2,1,7,4,5]=>[3,6,2,7,4,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,4,7,1,3,2,6]=>[6,2,3,1,7,4,5]=>[2,6,3,7,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[5,4,7,1,3,6,2]=>[2,6,3,1,7,4,5]=>[2,6,3,7,4,1,5]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[5,4,7,1,6,2,3]=>[3,2,6,1,7,4,5]=>[3,6,2,7,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,4,7,1,6,3,2]=>[2,3,6,1,7,4,5]=>[2,6,1,7,3,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,4,7,2,1,3,6]=>[6,3,1,2,7,4,5]=>[1,6,3,4,7,5,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[5,4,7,2,1,6,3]=>[3,6,1,2,7,4,5]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,4,7,2,3,1,6]=>[6,1,3,2,7,4,5]=>[1,6,3,7,4,5,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[5,4,7,2,3,6,1]=>[1,6,3,2,7,4,5]=>[1,6,3,7,4,2,5]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[5,4,7,2,6,1,3]=>[3,1,6,2,7,4,5]=>[1,3,2,6,4,7,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[5,4,7,2,6,3,1]=>[1,3,6,2,7,4,5]=>[3,6,1,7,2,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[5,4,7,3,1,2,6]=>[6,2,1,3,7,4,5]=>[2,6,3,4,7,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[5,4,7,3,1,6,2]=>[2,6,1,3,7,4,5]=>[2,3,1,6,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,4,7,3,2,1,6]=>[6,1,2,3,7,4,5]=>[1,6,2,3,4,7,5]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[5,4,7,3,2,6,1]=>[1,6,2,3,7,4,5]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,7,3,6,1,2]=>[2,1,6,3,7,4,5]=>[2,3,1,6,4,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,4,7,3,6,2,1]=>[1,2,6,3,7,4,5]=>[1,6,2,7,3,4,5]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,4,7,6,1,2,3]=>[3,2,1,6,7,4,5]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[5,4,7,6,1,3,2]=>[2,3,1,6,7,4,5]=>[2,6,1,3,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[5,4,7,6,2,1,3]=>[3,1,2,6,7,4,5]=>[3,6,1,2,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[5,4,7,6,2,3,1]=>[1,3,2,6,7,4,5]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[5,4,7,6,3,1,2]=>[2,1,3,6,7,4,5]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[5,6,1,2,3,4,7]=>[7,4,3,2,1,6,5]=>[4,3,7,6,5,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[5,6,1,2,3,7,4]=>[4,7,3,2,1,6,5]=>[4,3,7,6,2,1,5]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[5,6,1,2,4,3,7]=>[7,3,4,2,1,6,5]=>[3,2,7,6,4,5,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[5,6,1,2,4,7,3]=>[3,7,4,2,1,6,5]=>[3,2,7,6,4,1,5]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,6,1,2,7,3,4]=>[4,3,7,2,1,6,5]=>[4,3,7,6,2,5,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[5,6,1,2,7,4,3]=>[3,4,7,2,1,6,5]=>[3,2,7,6,1,4,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[5,6,1,3,2,4,7]=>[7,4,2,3,1,6,5]=>[4,2,7,3,6,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[5,6,1,3,2,7,4]=>[4,7,2,3,1,6,5]=>[4,2,7,3,6,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,6,1,3,4,2,7]=>[7,2,4,3,1,6,5]=>[4,2,7,6,3,5,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[5,6,1,3,4,7,2]=>[2,7,4,3,1,6,5]=>[4,2,7,6,3,1,5]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,6,1,3,7,2,4]=>[4,2,7,3,1,6,5]=>[4,2,7,3,1,6,5]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,1,3,7,4,2]=>[2,4,7,3,1,6,5]=>[4,2,7,6,1,3,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[5,6,1,4,2,3,7]=>[7,3,2,4,1,6,5]=>[3,2,7,4,6,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[5,6,1,4,2,7,3]=>[3,7,2,4,1,6,5]=>[3,2,7,4,6,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,6,1,4,3,2,7]=>[7,2,3,4,1,6,5]=>[2,1,7,3,4,6,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,6,1,4,3,7,2]=>[2,7,3,4,1,6,5]=>[2,1,7,3,6,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,6,1,4,7,2,3]=>[3,2,7,4,1,6,5]=>[3,2,7,4,1,6,5]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,6,1,4,7,3,2]=>[2,3,7,4,1,6,5]=>[2,1,7,6,3,4,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[5,6,1,7,2,3,4]=>[4,3,2,7,1,6,5]=>[4,3,7,2,6,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,6,1,7,2,4,3]=>[3,4,2,7,1,6,5]=>[3,2,7,1,6,4,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,6,1,7,3,2,4]=>[4,2,3,7,1,6,5]=>[4,2,7,1,3,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[5,6,1,7,3,4,2]=>[2,4,3,7,1,6,5]=>[4,2,7,1,6,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,6,1,7,4,2,3]=>[3,2,4,7,1,6,5]=>[3,2,7,1,4,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[5,6,1,7,4,3,2]=>[2,3,4,7,1,6,5]=>[7,2,6,1,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[5,6,2,1,3,4,7]=>[7,4,3,1,2,6,5]=>[4,1,3,7,6,5,2]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[5,6,2,1,3,7,4]=>[4,7,3,1,2,6,5]=>[4,1,3,7,6,2,5]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[5,6,2,1,4,3,7]=>[7,3,4,1,2,6,5]=>[3,1,4,7,2,6,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,6,2,1,4,7,3]=>[3,7,4,1,2,6,5]=>[3,1,4,7,6,2,5]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[5,6,2,1,7,3,4]=>[4,3,7,1,2,6,5]=>[4,1,3,7,2,6,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,6,2,1,7,4,3]=>[3,4,7,1,2,6,5]=>[7,3,4,6,1,2,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[5,6,2,3,1,4,7]=>[7,4,1,3,2,6,5]=>[4,1,7,3,6,5,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[5,6,2,3,1,7,4]=>[4,7,1,3,2,6,5]=>[4,1,7,3,6,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,6,2,3,4,1,7]=>[7,1,4,3,2,6,5]=>[4,1,7,6,3,5,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[5,6,2,3,4,7,1]=>[1,7,4,3,2,6,5]=>[4,1,7,6,3,2,5]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[5,6,2,3,7,1,4]=>[4,1,7,3,2,6,5]=>[4,1,7,3,2,6,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,6,2,3,7,4,1]=>[1,4,7,3,2,6,5]=>[4,3,7,6,1,2,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[5,6,2,4,1,3,7]=>[7,3,1,4,2,6,5]=>[3,1,4,2,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,6,2,4,1,7,3]=>[3,7,1,4,2,6,5]=>[3,1,7,4,6,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,6,2,4,3,1,7]=>[7,1,3,4,2,6,5]=>[3,1,7,2,4,6,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,6,2,4,3,7,1]=>[1,7,3,4,2,6,5]=>[3,1,7,2,6,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,6,2,4,7,1,3]=>[3,1,7,4,2,6,5]=>[3,1,7,4,2,6,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,6,2,4,7,3,1]=>[1,3,7,4,2,6,5]=>[3,1,7,6,2,4,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[5,6,2,7,1,3,4]=>[4,3,1,7,2,6,5]=>[4,1,3,2,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,6,2,7,1,4,3]=>[3,4,1,7,2,6,5]=>[7,3,4,1,6,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,6,2,7,3,1,4]=>[4,1,3,7,2,6,5]=>[4,3,7,1,2,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[5,6,2,7,3,4,1]=>[1,4,3,7,2,6,5]=>[4,3,7,1,6,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,6,2,7,4,1,3]=>[3,1,4,7,2,6,5]=>[7,3,4,1,2,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[5,6,2,7,4,3,1]=>[1,3,4,7,2,6,5]=>[7,3,6,1,2,4,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[5,6,3,1,2,4,7]=>[7,4,2,1,3,6,5]=>[4,2,3,7,6,5,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[5,6,3,1,2,7,4]=>[4,7,2,1,3,6,5]=>[4,2,3,7,6,1,5]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[5,6,3,1,4,2,7]=>[7,2,4,1,3,6,5]=>[2,1,4,7,3,6,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,6,3,1,4,7,2]=>[2,7,4,1,3,6,5]=>[2,1,4,7,6,3,5]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[5,6,3,1,7,2,4]=>[4,2,7,1,3,6,5]=>[4,2,3,7,1,6,5]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[5,6,3,1,7,4,2]=>[2,4,7,1,3,6,5]=>[7,2,4,6,1,3,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[5,6,3,2,1,4,7]=>[7,4,1,2,3,6,5]=>[4,1,2,3,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[5,6,3,2,1,7,4]=>[4,7,1,2,3,6,5]=>[7,1,2,4,6,3,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,6,3,2,4,1,7]=>[7,1,4,2,3,6,5]=>[4,1,2,7,3,6,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,6,3,2,4,7,1]=>[1,7,4,2,3,6,5]=>[4,1,2,7,6,3,5]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[5,6,3,2,7,1,4]=>[4,1,7,2,3,6,5]=>[7,1,2,4,3,6,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,6,3,2,7,4,1]=>[1,4,7,2,3,6,5]=>[7,1,4,6,2,3,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5]=>[2,1,4,3,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,6,3,4,1,7,2]=>[2,7,1,4,3,6,5]=>[2,1,7,4,6,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,6,3,4,2,1,7]=>[7,1,2,4,3,6,5]=>[4,1,7,2,3,6,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,6,3,4,2,7,1]=>[1,7,2,4,3,6,5]=>[4,1,7,2,6,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,6,3,4,7,1,2]=>[2,1,7,4,3,6,5]=>[2,1,7,4,3,6,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,6,3,4,7,2,1]=>[1,2,7,4,3,6,5]=>[4,1,7,6,2,3,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[5,6,3,7,1,2,4]=>[4,2,1,7,3,6,5]=>[4,2,3,1,7,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,6,3,7,1,4,2]=>[2,4,1,7,3,6,5]=>[7,2,4,1,6,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,6,3,7,2,1,4]=>[4,1,2,7,3,6,5]=>[7,1,4,2,3,6,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,6,3,7,2,4,1]=>[1,4,2,7,3,6,5]=>[7,1,4,2,6,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,6,3,7,4,1,2]=>[2,1,4,7,3,6,5]=>[7,2,4,1,3,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[5,6,3,7,4,2,1]=>[1,2,4,7,3,6,5]=>[7,4,6,1,2,3,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[5,6,4,1,2,3,7]=>[7,3,2,1,4,6,5]=>[3,2,4,7,6,5,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[5,6,4,1,2,7,3]=>[3,7,2,1,4,6,5]=>[3,2,4,7,6,1,5]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[5,6,4,1,3,2,7]=>[7,2,3,1,4,6,5]=>[2,1,3,7,4,6,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,6,4,1,3,7,2]=>[2,7,3,1,4,6,5]=>[2,1,3,7,6,4,5]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[5,6,4,1,7,2,3]=>[3,2,7,1,4,6,5]=>[3,2,4,7,1,6,5]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[5,6,4,1,7,3,2]=>[2,3,7,1,4,6,5]=>[7,2,3,6,1,4,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[5,6,4,2,1,3,7]=>[7,3,1,2,4,6,5]=>[3,1,2,4,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[5,6,4,2,1,7,3]=>[3,7,1,2,4,6,5]=>[7,1,3,4,6,2,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[5,6,4,2,3,1,7]=>[7,1,3,2,4,6,5]=>[3,1,2,7,4,6,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5]=>[3,1,2,7,6,4,5]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[5,6,4,2,7,1,3]=>[3,1,7,2,4,6,5]=>[7,1,3,4,2,6,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,6,4,2,7,3,1]=>[1,3,7,2,4,6,5]=>[7,1,3,6,2,4,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[5,6,4,3,1,2,7]=>[7,2,1,3,4,6,5]=>[2,1,3,4,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[5,6,4,3,1,7,2]=>[2,7,1,3,4,6,5]=>[7,2,3,4,6,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[5,6,4,3,2,1,7]=>[7,1,2,3,4,6,5]=>[7,1,2,3,4,6,5]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,6,4,3,2,7,1]=>[1,7,2,3,4,6,5]=>[7,1,2,3,6,4,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[5,6,4,3,7,1,2]=>[2,1,7,3,4,6,5]=>[7,2,3,4,1,6,5]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[5,6,4,3,7,2,1]=>[1,2,7,3,4,6,5]=>[7,1,2,6,3,4,5]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[5,6,4,7,1,2,3]=>[3,2,1,7,4,6,5]=>[3,2,4,1,7,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,6,4,7,1,3,2]=>[2,3,1,7,4,6,5]=>[7,2,3,1,6,4,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,6,4,7,2,1,3]=>[3,1,2,7,4,6,5]=>[7,1,3,2,4,6,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,6,4,7,2,3,1]=>[1,3,2,7,4,6,5]=>[7,1,3,2,6,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,6,4,7,3,1,2]=>[2,1,3,7,4,6,5]=>[7,2,3,1,4,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[5,6,4,7,3,2,1]=>[1,2,3,7,4,6,5]=>[7,1,6,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[5,6,7,1,2,4,3]=>[3,4,2,1,7,6,5]=>[3,2,1,7,6,4,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[5,6,7,1,3,2,4]=>[4,2,3,1,7,6,5]=>[4,2,1,7,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,6,7,1,3,4,2]=>[2,4,3,1,7,6,5]=>[4,2,1,7,6,3,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[5,6,7,1,4,2,3]=>[3,2,4,1,7,6,5]=>[3,2,1,7,4,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,6,7,1,4,3,2]=>[2,3,4,1,7,6,5]=>[7,2,1,6,3,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[5,6,7,2,1,3,4]=>[4,3,1,2,7,6,5]=>[4,3,1,2,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[5,6,7,2,1,4,3]=>[3,4,1,2,7,6,5]=>[7,3,1,4,6,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,6,7,2,3,1,4]=>[4,1,3,2,7,6,5]=>[4,3,1,7,2,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5]=>[4,3,1,7,6,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[5,6,7,2,4,1,3]=>[3,1,4,2,7,6,5]=>[7,3,1,4,2,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,6,7,2,4,3,1]=>[1,3,4,2,7,6,5]=>[7,3,1,6,2,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[5,6,7,3,1,2,4]=>[4,2,1,3,7,6,5]=>[4,2,1,3,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[5,6,7,3,1,4,2]=>[2,4,1,3,7,6,5]=>[7,2,1,4,6,3,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,6,7,3,2,1,4]=>[4,1,2,3,7,6,5]=>[7,4,1,2,3,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[5,6,7,3,2,4,1]=>[1,4,2,3,7,6,5]=>[7,4,1,2,6,3,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[5,6,7,3,4,1,2]=>[2,1,4,3,7,6,5]=>[7,2,1,4,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,6,7,3,4,2,1]=>[1,2,4,3,7,6,5]=>[7,4,1,6,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>[3,2,1,4,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[5,6,7,4,1,3,2]=>[2,3,1,4,7,6,5]=>[7,2,1,3,6,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[5,6,7,4,2,1,3]=>[3,1,2,4,7,6,5]=>[7,3,1,2,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[5,6,7,4,2,3,1]=>[1,3,2,4,7,6,5]=>[7,3,1,2,6,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[5,6,7,4,3,1,2]=>[2,1,3,4,7,6,5]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[5,6,7,4,3,2,1]=>[1,2,3,4,7,6,5]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[5,7,1,2,3,4,6]=>[6,4,3,2,1,7,5]=>[6,4,7,5,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[5,7,1,2,3,6,4]=>[4,6,3,2,1,7,5]=>[4,3,6,5,2,1,7]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[5,7,1,2,4,3,6]=>[6,3,4,2,1,7,5]=>[6,3,7,4,2,5,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[5,7,1,2,4,6,3]=>[3,6,4,2,1,7,5]=>[6,3,7,4,2,1,5]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[5,7,1,2,6,3,4]=>[4,3,6,2,1,7,5]=>[4,3,6,5,2,7,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[5,7,1,2,6,4,3]=>[3,4,6,2,1,7,5]=>[3,2,6,4,1,5,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[5,7,1,3,2,4,6]=>[6,4,2,3,1,7,5]=>[6,2,7,4,5,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[5,7,1,3,2,6,4]=>[4,6,2,3,1,7,5]=>[4,2,6,3,7,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,7,1,3,4,2,6]=>[6,2,4,3,1,7,5]=>[6,2,7,4,3,5,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[5,7,1,3,4,6,2]=>[2,6,4,3,1,7,5]=>[6,2,7,4,3,1,5]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,7,1,3,6,2,4]=>[4,2,6,3,1,7,5]=>[4,2,6,3,1,7,5]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,1,3,6,4,2]=>[2,4,6,3,1,7,5]=>[4,2,6,3,1,5,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[5,7,1,4,2,3,6]=>[6,3,2,4,1,7,5]=>[6,3,7,4,5,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[5,7,1,4,2,6,3]=>[3,6,2,4,1,7,5]=>[3,2,6,4,7,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,7,1,4,3,2,6]=>[6,2,3,4,1,7,5]=>[6,2,7,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[5,7,1,4,3,6,2]=>[2,6,3,4,1,7,5]=>[6,2,7,3,4,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,7,1,4,6,2,3]=>[3,2,6,4,1,7,5]=>[3,2,6,4,1,7,5]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,7,1,4,6,3,2]=>[2,3,6,4,1,7,5]=>[6,2,7,3,1,4,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[5,7,1,6,2,3,4]=>[4,3,2,6,1,7,5]=>[4,3,6,5,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[5,7,1,6,2,4,3]=>[3,4,2,6,1,7,5]=>[3,2,6,4,5,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,7,1,6,3,2,4]=>[4,2,3,6,1,7,5]=>[4,2,6,3,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[5,7,1,6,3,4,2]=>[2,4,3,6,1,7,5]=>[4,2,6,3,5,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,7,1,6,4,2,3]=>[3,2,4,6,1,7,5]=>[3,2,6,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[5,7,1,6,4,3,2]=>[2,3,4,6,1,7,5]=>[2,1,6,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[5,7,2,1,3,4,6]=>[6,4,3,1,2,7,5]=>[6,1,4,7,5,3,2]=>[[.,.],[[[.,[[.,.],.]],.],.]]
[5,7,2,1,3,6,4]=>[4,6,3,1,2,7,5]=>[4,1,6,7,3,2,5]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[5,7,2,1,4,3,6]=>[6,3,4,1,2,7,5]=>[3,1,6,7,4,5,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[5,7,2,1,4,6,3]=>[3,6,4,1,2,7,5]=>[3,1,6,7,4,2,5]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[5,7,2,1,6,3,4]=>[4,3,6,1,2,7,5]=>[4,1,6,7,3,5,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[5,7,2,1,6,4,3]=>[3,4,6,1,2,7,5]=>[3,1,4,6,2,5,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[5,7,2,3,1,4,6]=>[6,4,1,3,2,7,5]=>[6,1,7,4,5,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[5,7,2,3,1,6,4]=>[4,6,1,3,2,7,5]=>[4,1,6,3,7,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,7,2,3,4,1,6]=>[6,1,4,3,2,7,5]=>[6,1,7,4,3,5,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[5,7,2,3,4,6,1]=>[1,6,4,3,2,7,5]=>[6,1,7,4,3,2,5]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[5,7,2,3,6,1,4]=>[4,1,6,3,2,7,5]=>[4,1,6,3,2,7,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,7,2,3,6,4,1]=>[1,4,6,3,2,7,5]=>[4,1,6,3,2,5,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[5,7,2,4,1,3,6]=>[6,3,1,4,2,7,5]=>[3,1,6,4,7,5,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[5,7,2,4,1,6,3]=>[3,6,1,4,2,7,5]=>[3,1,6,4,7,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,7,2,4,3,1,6]=>[6,1,3,4,2,7,5]=>[6,1,7,3,4,5,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[5,7,2,4,3,6,1]=>[1,6,3,4,2,7,5]=>[6,1,7,3,4,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,7,2,4,6,1,3]=>[3,1,6,4,2,7,5]=>[3,1,6,4,2,7,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,7,2,4,6,3,1]=>[1,3,6,4,2,7,5]=>[6,1,7,3,2,4,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[5,7,2,6,1,3,4]=>[4,3,1,6,2,7,5]=>[4,1,6,3,7,5,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[5,7,2,6,1,4,3]=>[3,4,1,6,2,7,5]=>[3,1,4,2,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,7,2,6,3,1,4]=>[4,1,3,6,2,7,5]=>[4,1,6,3,5,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[5,7,2,6,3,4,1]=>[1,4,3,6,2,7,5]=>[4,1,6,3,5,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,7,2,6,4,1,3]=>[3,1,4,6,2,7,5]=>[3,1,4,2,6,7,5]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[5,7,2,6,4,3,1]=>[1,3,4,6,2,7,5]=>[3,1,6,2,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[5,7,3,1,2,4,6]=>[6,4,2,1,3,7,5]=>[6,2,4,7,5,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[5,7,3,1,2,6,4]=>[4,6,2,1,3,7,5]=>[4,2,6,7,3,1,5]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[5,7,3,1,4,2,6]=>[6,2,4,1,3,7,5]=>[2,1,6,7,4,5,3]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[5,7,3,1,4,6,2]=>[2,6,4,1,3,7,5]=>[2,1,6,7,4,3,5]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[5,7,3,1,6,2,4]=>[4,2,6,1,3,7,5]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,7,3,1,6,4,2]=>[2,4,6,1,3,7,5]=>[2,1,4,6,3,5,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[5,7,3,2,1,4,6]=>[6,4,1,2,3,7,5]=>[6,1,2,4,7,5,3]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[5,7,3,2,1,6,4]=>[4,6,1,2,3,7,5]=>[4,1,2,6,7,3,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,7,3,2,4,1,6]=>[6,1,4,2,3,7,5]=>[6,1,2,7,4,5,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[5,7,3,2,4,6,1]=>[1,6,4,2,3,7,5]=>[6,1,2,7,4,3,5]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[5,7,3,2,6,1,4]=>[4,1,6,2,3,7,5]=>[4,1,2,6,3,7,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,7,3,2,6,4,1]=>[1,4,6,2,3,7,5]=>[4,1,6,7,2,3,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[5,7,3,4,1,2,6]=>[6,2,1,4,3,7,5]=>[2,1,6,4,7,5,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5]=>[2,1,6,4,7,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,7,3,4,2,1,6]=>[6,1,2,4,3,7,5]=>[6,1,7,2,4,5,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[5,7,3,4,2,6,1]=>[1,6,2,4,3,7,5]=>[6,1,7,2,4,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,7,3,4,6,1,2]=>[2,1,6,4,3,7,5]=>[2,1,6,4,3,7,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,7,3,4,6,2,1]=>[1,2,6,4,3,7,5]=>[6,1,7,4,2,3,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[5,7,3,6,1,2,4]=>[4,2,1,6,3,7,5]=>[4,2,6,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5]=>[2,1,4,3,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,7,3,6,2,1,4]=>[4,1,2,6,3,7,5]=>[4,1,6,2,3,7,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,7,3,6,2,4,1]=>[1,4,2,6,3,7,5]=>[4,1,6,2,7,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,7,3,6,4,1,2]=>[2,1,4,6,3,7,5]=>[2,1,4,3,6,7,5]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[5,7,3,6,4,2,1]=>[1,2,4,6,3,7,5]=>[4,1,6,2,3,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[5,7,4,1,2,3,6]=>[6,3,2,1,4,7,5]=>[6,3,4,7,5,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[5,7,4,1,2,6,3]=>[3,6,2,1,4,7,5]=>[3,2,6,7,4,1,5]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[5,7,4,1,3,2,6]=>[6,2,3,1,4,7,5]=>[6,2,3,7,4,5,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[5,7,4,1,3,6,2]=>[2,6,3,1,4,7,5]=>[6,2,3,7,4,1,5]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[5,7,4,1,6,2,3]=>[3,2,6,1,4,7,5]=>[3,2,6,7,4,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,7,4,1,6,3,2]=>[2,3,6,1,4,7,5]=>[2,1,6,7,3,4,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[5,7,4,2,1,3,6]=>[6,3,1,2,4,7,5]=>[6,1,3,4,7,5,2]=>[[.,.],[[.,[.,[[.,.],.]]],.]]
[5,7,4,2,1,6,3]=>[3,6,1,2,4,7,5]=>[3,1,2,6,7,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,7,4,2,3,1,6]=>[6,1,3,2,4,7,5]=>[6,1,3,7,4,5,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[5,7,4,2,3,6,1]=>[1,6,3,2,4,7,5]=>[6,1,3,7,4,2,5]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[5,7,4,2,6,1,3]=>[3,1,6,2,4,7,5]=>[3,1,2,6,4,7,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5]=>[3,1,6,7,2,4,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[5,7,4,3,1,2,6]=>[6,2,1,3,4,7,5]=>[6,2,3,4,7,5,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[2,1,3,6,7,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,7,4,3,2,1,6]=>[6,1,2,3,4,7,5]=>[6,1,2,3,4,7,5]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,7,4,3,2,6,1]=>[1,6,2,3,4,7,5]=>[6,1,2,3,7,4,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[5,7,4,3,6,1,2]=>[2,1,6,3,4,7,5]=>[2,1,3,6,4,7,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[5,7,4,3,6,2,1]=>[1,2,6,3,4,7,5]=>[6,1,2,7,3,4,5]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[5,7,4,6,1,2,3]=>[3,2,1,6,4,7,5]=>[3,2,6,4,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[5,7,4,6,1,3,2]=>[2,3,1,6,4,7,5]=>[2,1,6,3,7,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,7,4,6,2,1,3]=>[3,1,2,6,4,7,5]=>[3,1,6,2,4,7,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,7,4,6,2,3,1]=>[1,3,2,6,4,7,5]=>[3,1,6,2,7,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,7,4,6,3,1,2]=>[2,1,3,6,4,7,5]=>[2,1,6,3,4,7,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,7,4,6,3,2,1]=>[1,2,3,6,4,7,5]=>[6,1,7,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[5,7,6,1,2,3,4]=>[4,3,2,1,6,7,5]=>[4,3,6,7,5,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[5,7,6,1,2,4,3]=>[3,4,2,1,6,7,5]=>[3,2,4,6,5,1,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[5,7,6,1,3,2,4]=>[4,2,3,1,6,7,5]=>[4,2,3,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[5,7,6,1,3,4,2]=>[2,4,3,1,6,7,5]=>[4,2,3,6,5,1,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[5,7,6,1,4,2,3]=>[3,2,4,1,6,7,5]=>[3,2,4,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[5,7,6,1,4,3,2]=>[2,3,4,1,6,7,5]=>[2,1,3,6,4,5,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[5,7,6,2,1,3,4]=>[4,3,1,2,6,7,5]=>[4,1,3,6,7,5,2]=>[[.,.],[[.,[[.,[.,.]],.]],.]]
[5,7,6,2,1,4,3]=>[3,4,1,2,6,7,5]=>[3,1,4,6,7,2,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[5,7,6,2,3,1,4]=>[4,1,3,2,6,7,5]=>[4,1,3,6,5,7,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[5,7,6,2,3,4,1]=>[1,4,3,2,6,7,5]=>[4,1,3,6,5,2,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[5,7,6,2,4,1,3]=>[3,1,4,2,6,7,5]=>[3,1,4,6,2,7,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5]=>[3,1,2,6,4,5,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[5,7,6,3,1,2,4]=>[4,2,1,3,6,7,5]=>[4,2,3,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[5,7,6,3,1,4,2]=>[2,4,1,3,6,7,5]=>[2,1,4,6,7,3,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[5,7,6,3,2,1,4]=>[4,1,2,3,6,7,5]=>[4,1,2,3,6,7,5]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[5,7,6,3,2,4,1]=>[1,4,2,3,6,7,5]=>[4,1,2,3,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[5,7,6,3,4,1,2]=>[2,1,4,3,6,7,5]=>[2,1,4,6,3,7,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,7,6,3,4,2,1]=>[1,2,4,3,6,7,5]=>[4,1,2,6,3,5,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[5,7,6,4,1,2,3]=>[3,2,1,4,6,7,5]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[2,1,3,4,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[5,7,6,4,2,1,3]=>[3,1,2,4,6,7,5]=>[3,1,2,4,6,7,5]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[5,7,6,4,2,3,1]=>[1,3,2,4,6,7,5]=>[3,1,2,4,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[5,7,6,4,3,1,2]=>[2,1,3,4,6,7,5]=>[2,1,3,4,6,7,5]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[5,7,6,4,3,2,1]=>[1,2,3,4,6,7,5]=>[6,1,2,3,4,5,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[6,1,2,3,4,5,7]=>[7,5,4,3,2,1,6]=>[5,7,6,4,3,2,1]=>[[[[[.,[[.,.],.]],.],.],.],.]
[6,1,2,3,4,7,5]=>[5,7,4,3,2,1,6]=>[5,7,4,3,2,1,6]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[6,1,2,3,5,4,7]=>[7,4,5,3,2,1,6]=>[4,7,5,3,2,6,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,1,2,3,5,7,4]=>[4,7,5,3,2,1,6]=>[4,7,5,3,2,1,6]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[6,1,2,3,7,4,5]=>[5,4,7,3,2,1,6]=>[5,7,4,3,2,6,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,1,2,3,7,5,4]=>[4,5,7,3,2,1,6]=>[4,7,3,2,1,5,6]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[6,1,2,4,3,5,7]=>[7,5,3,4,2,1,6]=>[3,7,5,4,6,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[6,1,2,4,3,7,5]=>[5,7,3,4,2,1,6]=>[3,5,4,2,7,1,6]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,1,2,4,5,3,7]=>[7,3,5,4,2,1,6]=>[3,7,5,4,2,6,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,1,2,4,5,7,3]=>[3,7,5,4,2,1,6]=>[3,7,5,4,2,1,6]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,1,2,4,7,3,5]=>[5,3,7,4,2,1,6]=>[3,5,4,2,1,7,6]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[6,1,2,4,7,5,3]=>[3,5,7,4,2,1,6]=>[5,7,3,2,1,4,6]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[6,1,2,5,3,4,7]=>[7,4,3,5,2,1,6]=>[4,7,5,3,6,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[6,1,2,5,3,7,4]=>[4,7,3,5,2,1,6]=>[4,5,3,2,7,1,6]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,1,2,5,4,3,7]=>[7,3,4,5,2,1,6]=>[3,7,4,2,5,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[6,1,2,5,4,7,3]=>[3,7,4,5,2,1,6]=>[3,7,4,2,5,1,6]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,1,2,5,7,3,4]=>[4,3,7,5,2,1,6]=>[4,5,3,2,1,7,6]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[6,1,2,5,7,4,3]=>[3,4,7,5,2,1,6]=>[3,7,4,2,1,5,6]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[6,1,2,7,3,4,5]=>[5,4,3,7,2,1,6]=>[5,7,4,3,6,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[6,1,2,7,3,5,4]=>[4,5,3,7,2,1,6]=>[4,7,3,2,5,1,6]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,1,2,7,4,3,5]=>[5,3,4,7,2,1,6]=>[5,7,3,2,4,6,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[6,1,2,7,4,5,3]=>[3,5,4,7,2,1,6]=>[5,7,3,2,4,1,6]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,1,2,7,5,3,4]=>[4,3,5,7,2,1,6]=>[4,7,3,2,5,6,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[6,1,2,7,5,4,3]=>[3,4,5,7,2,1,6]=>[3,7,2,1,4,5,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[6,1,3,2,4,5,7]=>[7,5,4,2,3,1,6]=>[2,7,5,6,4,3,1]=>[[.,[[[[.,.],[.,.]],.],.]],.]
[6,1,3,2,4,7,5]=>[5,7,4,2,3,1,6]=>[2,5,4,7,3,1,6]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[6,1,3,2,5,4,7]=>[7,4,5,2,3,1,6]=>[4,7,5,6,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,1,3,2,5,7,4]=>[4,7,5,2,3,1,6]=>[4,7,5,6,2,1,3]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[6,1,3,2,7,4,5]=>[5,4,7,2,3,1,6]=>[2,5,4,7,3,6,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[6,1,3,2,7,5,4]=>[4,5,7,2,3,1,6]=>[4,5,2,7,1,3,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[6,1,3,4,2,5,7]=>[7,5,2,4,3,1,6]=>[2,7,5,4,6,3,1]=>[[.,[[[[.,.],.],[.,.]],.]],.]
[6,1,3,4,2,7,5]=>[5,7,2,4,3,1,6]=>[2,5,4,3,7,1,6]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[6,1,3,4,5,2,7]=>[7,2,5,4,3,1,6]=>[2,7,5,4,3,6,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[6,1,3,4,5,7,2]=>[2,7,5,4,3,1,6]=>[2,7,5,4,3,1,6]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,1,3,4,7,2,5]=>[5,2,7,4,3,1,6]=>[2,5,4,3,1,7,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[6,1,3,4,7,5,2]=>[2,5,7,4,3,1,6]=>[5,7,4,2,1,3,6]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[6,1,3,5,2,4,7]=>[7,4,2,5,3,1,6]=>[4,7,5,2,6,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[6,1,3,5,2,7,4]=>[4,7,2,5,3,1,6]=>[4,7,5,2,6,1,3]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,1,3,5,4,2,7]=>[7,2,4,5,3,1,6]=>[2,7,4,3,5,6,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[6,1,3,5,4,7,2]=>[2,7,4,5,3,1,6]=>[2,7,4,3,5,1,6]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[6,1,3,5,7,2,4]=>[4,2,7,5,3,1,6]=>[4,7,5,2,1,6,3]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[6,1,3,5,7,4,2]=>[2,4,7,5,3,1,6]=>[2,7,4,3,1,5,6]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[6,1,3,7,2,4,5]=>[5,4,2,7,3,1,6]=>[2,5,4,3,7,6,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[6,1,3,7,2,5,4]=>[4,5,2,7,3,1,6]=>[4,5,2,1,7,3,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[6,1,3,7,4,2,5]=>[5,2,4,7,3,1,6]=>[5,7,4,2,3,6,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[6,1,3,7,4,5,2]=>[2,5,4,7,3,1,6]=>[5,7,4,2,3,1,6]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,1,3,7,5,2,4]=>[4,2,5,7,3,1,6]=>[4,5,2,1,3,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[6,1,3,7,5,4,2]=>[2,4,5,7,3,1,6]=>[4,7,2,1,3,5,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[6,1,4,2,3,5,7]=>[7,5,3,2,4,1,6]=>[3,7,5,6,4,2,1]=>[[[.,[[[.,.],[.,.]],.]],.],.]
[6,1,4,2,3,7,5]=>[5,7,3,2,4,1,6]=>[3,5,4,7,2,1,6]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[6,1,4,2,5,3,7]=>[7,3,5,2,4,1,6]=>[3,7,5,6,2,4,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,1,4,2,5,7,3]=>[3,7,5,2,4,1,6]=>[3,7,5,6,2,1,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[6,1,4,2,7,3,5]=>[5,3,7,2,4,1,6]=>[3,5,4,7,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,1,4,2,7,5,3]=>[3,5,7,2,4,1,6]=>[3,5,2,7,1,4,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[6,1,4,3,2,5,7]=>[7,5,2,3,4,1,6]=>[2,7,3,5,6,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[6,1,4,3,2,7,5]=>[5,7,2,3,4,1,6]=>[2,5,3,4,7,1,6]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[6,1,4,3,5,2,7]=>[7,2,5,3,4,1,6]=>[2,7,3,5,4,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[6,1,4,3,5,7,2]=>[2,7,5,3,4,1,6]=>[2,7,3,5,4,1,6]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[6,1,4,3,7,2,5]=>[5,2,7,3,4,1,6]=>[2,5,3,4,1,7,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,1,4,3,7,5,2]=>[2,5,7,3,4,1,6]=>[2,5,3,7,1,4,6]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[6,1,4,5,2,3,7]=>[7,3,2,5,4,1,6]=>[3,7,5,2,6,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[6,1,4,5,2,7,3]=>[3,7,2,5,4,1,6]=>[3,7,5,2,6,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,1,4,5,3,2,7]=>[7,2,3,5,4,1,6]=>[2,7,5,3,4,6,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[6,1,4,5,3,7,2]=>[2,7,3,5,4,1,6]=>[2,7,5,3,4,1,6]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[6,1,4,5,7,2,3]=>[3,2,7,5,4,1,6]=>[3,7,5,2,1,6,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[6,1,4,5,7,3,2]=>[2,3,7,5,4,1,6]=>[2,7,5,3,1,4,6]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[6,1,4,7,2,3,5]=>[5,3,2,7,4,1,6]=>[3,5,4,2,7,6,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[6,1,4,7,2,5,3]=>[3,5,2,7,4,1,6]=>[3,5,2,1,7,4,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[6,1,4,7,3,2,5]=>[5,2,3,7,4,1,6]=>[2,5,3,1,4,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[6,1,4,7,3,5,2]=>[2,5,3,7,4,1,6]=>[2,5,3,1,7,4,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[6,1,4,7,5,2,3]=>[3,2,5,7,4,1,6]=>[3,5,2,1,4,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[6,1,4,7,5,3,2]=>[2,3,5,7,4,1,6]=>[5,7,2,1,3,4,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[6,1,5,2,3,4,7]=>[7,4,3,2,5,1,6]=>[4,7,5,6,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[6,1,5,2,3,7,4]=>[4,7,3,2,5,1,6]=>[4,5,3,7,2,1,6]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[6,1,5,2,4,3,7]=>[7,3,4,2,5,1,6]=>[3,7,4,5,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,1,5,2,4,7,3]=>[3,7,4,2,5,1,6]=>[3,7,4,5,2,1,6]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[6,1,5,2,7,3,4]=>[4,3,7,2,5,1,6]=>[4,5,3,7,2,6,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,1,5,2,7,4,3]=>[3,4,7,2,5,1,6]=>[3,4,2,7,1,5,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[6,1,5,3,2,4,7]=>[7,4,2,3,5,1,6]=>[2,7,4,5,6,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[6,1,5,3,2,7,4]=>[4,7,2,3,5,1,6]=>[2,4,3,5,7,1,6]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[6,1,5,3,4,2,7]=>[7,2,4,3,5,1,6]=>[2,7,4,5,3,6,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[6,1,5,3,4,7,2]=>[2,7,4,3,5,1,6]=>[2,7,4,5,3,1,6]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[6,1,5,3,7,2,4]=>[4,2,7,3,5,1,6]=>[2,4,3,5,1,7,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,1,5,3,7,4,2]=>[2,4,7,3,5,1,6]=>[2,4,3,7,1,5,6]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[6,1,5,4,2,3,7]=>[7,3,2,4,5,1,6]=>[3,7,4,5,6,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[6,1,5,4,2,7,3]=>[3,7,2,4,5,1,6]=>[3,4,2,5,7,1,6]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[6,1,5,4,3,2,7]=>[7,2,3,4,5,1,6]=>[2,7,3,4,5,6,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,1,5,4,3,7,2]=>[2,7,3,4,5,1,6]=>[2,7,3,4,5,1,6]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[6,1,5,4,7,2,3]=>[3,2,7,4,5,1,6]=>[3,4,2,5,1,7,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,1,5,4,7,3,2]=>[2,3,7,4,5,1,6]=>[2,7,3,4,1,5,6]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[6,1,5,7,2,3,4]=>[4,3,2,7,5,1,6]=>[4,5,3,2,7,6,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[6,1,5,7,2,4,3]=>[3,4,2,7,5,1,6]=>[3,4,2,1,7,5,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[6,1,5,7,3,2,4]=>[4,2,3,7,5,1,6]=>[2,4,3,1,5,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[6,1,5,7,3,4,2]=>[2,4,3,7,5,1,6]=>[2,4,3,1,7,5,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[6,1,5,7,4,2,3]=>[3,2,4,7,5,1,6]=>[3,4,2,1,5,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[6,1,5,7,4,3,2]=>[2,3,4,7,5,1,6]=>[2,7,3,1,4,5,6]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[6,1,7,2,3,4,5]=>[5,4,3,2,7,1,6]=>[5,7,4,6,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[6,1,7,2,3,5,4]=>[4,5,3,2,7,1,6]=>[4,7,3,5,2,1,6]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[6,1,7,2,4,3,5]=>[5,3,4,2,7,1,6]=>[5,7,3,4,2,6,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,1,7,2,4,5,3]=>[3,5,4,2,7,1,6]=>[5,7,3,4,2,1,6]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[6,1,7,2,5,3,4]=>[4,3,5,2,7,1,6]=>[4,7,3,5,2,6,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,1,7,2,5,4,3]=>[3,4,5,2,7,1,6]=>[3,7,2,4,1,5,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[6,1,7,3,2,4,5]=>[5,4,2,3,7,1,6]=>[5,7,2,4,6,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,1,7,3,2,5,4]=>[4,5,2,3,7,1,6]=>[4,5,2,3,7,1,6]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[6,1,7,3,4,2,5]=>[5,2,4,3,7,1,6]=>[5,7,2,4,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[6,1,7,3,4,5,2]=>[2,5,4,3,7,1,6]=>[5,7,2,4,3,1,6]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,1,7,3,5,2,4]=>[4,2,5,3,7,1,6]=>[4,5,2,3,1,7,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,1,7,3,5,4,2]=>[2,4,5,3,7,1,6]=>[4,7,2,3,1,5,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[6,1,7,4,2,3,5]=>[5,3,2,4,7,1,6]=>[5,7,3,4,6,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[6,1,7,4,2,5,3]=>[3,5,2,4,7,1,6]=>[3,5,2,4,7,1,6]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[6,1,7,4,3,2,5]=>[5,2,3,4,7,1,6]=>[5,7,2,3,4,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[6,1,7,4,3,5,2]=>[2,5,3,4,7,1,6]=>[5,7,2,3,4,1,6]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[6,1,7,4,5,2,3]=>[3,2,5,4,7,1,6]=>[3,5,2,4,1,7,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,1,7,4,5,3,2]=>[2,3,5,4,7,1,6]=>[5,7,2,3,1,4,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[6,1,7,5,2,3,4]=>[4,3,2,5,7,1,6]=>[4,7,3,5,6,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[6,1,7,5,2,4,3]=>[3,4,2,5,7,1,6]=>[3,7,2,4,5,1,6]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[6,1,7,5,3,2,4]=>[4,2,3,5,7,1,6]=>[4,7,2,3,5,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[6,1,7,5,3,4,2]=>[2,4,3,5,7,1,6]=>[4,7,2,3,5,1,6]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[6,1,7,5,4,2,3]=>[3,2,4,5,7,1,6]=>[3,7,2,4,5,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[6,1,7,5,4,3,2]=>[2,3,4,5,7,1,6]=>[2,7,1,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[6,2,1,3,4,5,7]=>[7,5,4,3,1,2,6]=>[1,5,7,6,4,3,2]=>[.,[[[[.,[[.,.],.]],.],.],.]]
[6,2,1,3,4,7,5]=>[5,7,4,3,1,2,6]=>[1,5,7,4,3,2,6]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[6,2,1,3,5,4,7]=>[7,4,5,3,1,2,6]=>[4,5,7,6,1,3,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[6,2,1,3,5,7,4]=>[4,7,5,3,1,2,6]=>[4,5,7,6,3,1,2]=>[[[.,[.,[[.,.],.]]],.],[.,.]]
[6,2,1,3,7,4,5]=>[5,4,7,3,1,2,6]=>[1,5,7,4,3,6,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[6,2,1,3,7,5,4]=>[4,5,7,3,1,2,6]=>[4,5,7,3,1,2,6]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[6,2,1,4,3,5,7]=>[7,5,3,4,1,2,6]=>[3,5,7,1,6,4,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[6,2,1,4,3,7,5]=>[5,7,3,4,1,2,6]=>[3,5,7,4,6,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[6,2,1,4,5,3,7]=>[7,3,5,4,1,2,6]=>[3,5,7,6,1,4,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[6,2,1,4,5,7,3]=>[3,7,5,4,1,2,6]=>[3,5,7,6,4,1,2]=>[[.,[[.,[[.,.],.]],.]],[.,.]]
[6,2,1,4,7,3,5]=>[5,3,7,4,1,2,6]=>[3,5,7,4,1,6,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[6,2,1,4,7,5,3]=>[3,5,7,4,1,2,6]=>[3,5,7,4,1,2,6]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[6,2,1,5,3,4,7]=>[7,4,3,5,1,2,6]=>[4,5,7,1,6,3,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[6,2,1,5,3,7,4]=>[4,7,3,5,1,2,6]=>[4,5,7,3,6,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[6,2,1,5,4,3,7]=>[7,3,4,5,1,2,6]=>[3,4,7,1,5,6,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,2,1,5,4,7,3]=>[3,7,4,5,1,2,6]=>[3,4,7,1,5,2,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,2,1,5,7,3,4]=>[4,3,7,5,1,2,6]=>[4,5,7,3,1,6,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[6,2,1,5,7,4,3]=>[3,4,7,5,1,2,6]=>[3,4,7,5,1,2,6]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[6,2,1,7,3,4,5]=>[5,4,3,7,1,2,6]=>[1,5,7,4,6,3,2]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[6,2,1,7,3,5,4]=>[4,5,3,7,1,2,6]=>[4,5,7,1,3,2,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,2,1,7,4,3,5]=>[5,3,4,7,1,2,6]=>[3,5,7,1,4,6,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,2,1,7,4,5,3]=>[3,5,4,7,1,2,6]=>[3,5,7,1,4,2,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,2,1,7,5,3,4]=>[4,3,5,7,1,2,6]=>[4,5,7,1,3,6,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,2,1,7,5,4,3]=>[3,4,5,7,1,2,6]=>[3,4,7,1,2,5,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[6,2,3,1,4,5,7]=>[7,5,4,1,3,2,6]=>[1,7,5,6,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[6,2,3,1,4,7,5]=>[5,7,4,1,3,2,6]=>[1,5,4,7,3,2,6]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[6,2,3,1,5,4,7]=>[7,4,5,1,3,2,6]=>[4,7,5,6,1,3,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,2,3,1,5,7,4]=>[4,7,5,1,3,2,6]=>[4,7,5,6,3,1,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[6,2,3,1,7,4,5]=>[5,4,7,1,3,2,6]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,2,3,1,7,5,4]=>[4,5,7,1,3,2,6]=>[4,5,3,7,1,2,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[6,2,3,4,1,5,7]=>[7,5,1,4,3,2,6]=>[1,7,5,4,6,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[6,2,3,4,1,7,5]=>[5,7,1,4,3,2,6]=>[1,5,4,3,7,2,6]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[6,2,3,4,5,1,7]=>[7,1,5,4,3,2,6]=>[1,7,5,4,3,6,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]
[6,2,3,4,5,7,1]=>[1,7,5,4,3,2,6]=>[1,7,5,4,3,2,6]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[6,2,3,4,7,1,5]=>[5,1,7,4,3,2,6]=>[1,5,4,3,2,7,6]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[6,2,3,4,7,5,1]=>[1,5,7,4,3,2,6]=>[5,7,4,3,1,2,6]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[6,2,3,5,1,4,7]=>[7,4,1,5,3,2,6]=>[4,7,5,1,6,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,2,3,5,1,7,4]=>[4,7,1,5,3,2,6]=>[4,7,5,3,6,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,2,3,5,4,1,7]=>[7,1,4,5,3,2,6]=>[1,7,4,3,5,6,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[6,2,3,5,4,7,1]=>[1,7,4,5,3,2,6]=>[1,7,4,3,5,2,6]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[6,2,3,5,7,1,4]=>[4,1,7,5,3,2,6]=>[4,7,5,3,1,6,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[6,2,3,5,7,4,1]=>[1,4,7,5,3,2,6]=>[1,7,4,3,2,5,6]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[6,2,3,7,1,4,5]=>[5,4,1,7,3,2,6]=>[1,5,4,3,7,6,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]
[6,2,3,7,1,5,4]=>[4,5,1,7,3,2,6]=>[4,5,3,1,7,2,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[6,2,3,7,4,1,5]=>[5,1,4,7,3,2,6]=>[5,7,4,1,3,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[6,2,3,7,4,5,1]=>[1,5,4,7,3,2,6]=>[5,7,4,1,3,2,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[6,2,3,7,5,1,4]=>[4,1,5,7,3,2,6]=>[4,5,3,1,2,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[6,2,3,7,5,4,1]=>[1,4,5,7,3,2,6]=>[4,7,3,1,2,5,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[6,2,4,1,3,5,7]=>[7,5,3,1,4,2,6]=>[3,5,1,7,6,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,2,4,1,3,7,5]=>[5,7,3,1,4,2,6]=>[3,5,4,7,6,1,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[6,2,4,1,5,3,7]=>[7,3,5,1,4,2,6]=>[3,7,5,6,1,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,2,4,1,5,7,3]=>[3,7,5,1,4,2,6]=>[3,7,5,6,4,1,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[6,2,4,1,7,3,5]=>[5,3,7,1,4,2,6]=>[3,5,4,7,1,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,2,4,1,7,5,3]=>[3,5,7,1,4,2,6]=>[3,5,4,7,1,2,6]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[6,2,4,3,1,5,7]=>[7,5,1,3,4,2,6]=>[1,7,3,5,6,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[6,2,4,3,1,7,5]=>[5,7,1,3,4,2,6]=>[1,5,3,4,7,2,6]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,2,4,3,5,1,7]=>[7,1,5,3,4,2,6]=>[1,7,3,5,4,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,2,4,3,5,7,1]=>[1,7,5,3,4,2,6]=>[1,7,3,5,4,2,6]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[6,2,4,3,7,1,5]=>[5,1,7,3,4,2,6]=>[1,5,3,4,2,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,2,4,3,7,5,1]=>[1,5,7,3,4,2,6]=>[1,5,3,7,2,4,6]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[6,2,4,5,1,3,7]=>[7,3,1,5,4,2,6]=>[3,7,5,1,6,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,2,4,5,1,7,3]=>[3,7,1,5,4,2,6]=>[3,7,5,4,6,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[6,2,4,5,3,1,7]=>[7,1,3,5,4,2,6]=>[1,7,5,3,4,6,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[6,2,4,5,3,7,1]=>[1,7,3,5,4,2,6]=>[1,7,5,3,4,2,6]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[6,2,4,5,7,1,3]=>[3,1,7,5,4,2,6]=>[3,7,5,4,1,6,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[6,2,4,5,7,3,1]=>[1,3,7,5,4,2,6]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[6,2,4,7,1,3,5]=>[5,3,1,7,4,2,6]=>[3,5,4,1,7,6,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,2,4,7,1,5,3]=>[3,5,1,7,4,2,6]=>[3,5,4,1,7,2,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[6,2,4,7,3,1,5]=>[5,1,3,7,4,2,6]=>[1,5,3,2,4,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[6,2,4,7,3,5,1]=>[1,5,3,7,4,2,6]=>[1,5,3,2,7,4,6]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[6,2,4,7,5,1,3]=>[3,1,5,7,4,2,6]=>[3,5,4,1,2,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[6,2,4,7,5,3,1]=>[1,3,5,7,4,2,6]=>[5,7,3,1,2,4,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[6,2,5,1,3,4,7]=>[7,4,3,1,5,2,6]=>[4,5,1,7,6,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,2,5,1,3,7,4]=>[4,7,3,1,5,2,6]=>[4,5,3,7,6,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,2,5,1,4,3,7]=>[7,3,4,1,5,2,6]=>[3,4,1,7,5,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,2,5,1,4,7,3]=>[3,7,4,1,5,2,6]=>[3,4,1,7,5,2,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[6,2,5,1,7,3,4]=>[4,3,7,1,5,2,6]=>[4,5,3,7,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,2,5,1,7,4,3]=>[3,4,7,1,5,2,6]=>[3,7,4,5,1,2,6]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[6,2,5,3,1,4,7]=>[7,4,1,3,5,2,6]=>[1,7,4,5,6,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[6,2,5,3,1,7,4]=>[4,7,1,3,5,2,6]=>[1,4,3,5,7,2,6]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,2,5,3,4,1,7]=>[7,1,4,3,5,2,6]=>[1,7,4,5,3,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,2,5,3,4,7,1]=>[1,7,4,3,5,2,6]=>[1,7,4,5,3,2,6]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[6,2,5,3,7,1,4]=>[4,1,7,3,5,2,6]=>[1,4,3,5,2,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,2,5,3,7,4,1]=>[1,4,7,3,5,2,6]=>[1,4,3,7,2,5,6]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[6,2,5,4,1,3,7]=>[7,3,1,4,5,2,6]=>[3,4,1,5,7,6,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[6,2,5,4,1,7,3]=>[3,7,1,4,5,2,6]=>[3,7,4,5,6,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[6,2,5,4,3,1,7]=>[7,1,3,4,5,2,6]=>[1,7,3,4,5,6,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,2,5,4,3,7,1]=>[1,7,3,4,5,2,6]=>[1,7,3,4,5,2,6]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,2,5,4,7,1,3]=>[3,1,7,4,5,2,6]=>[3,7,4,5,1,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,2,5,4,7,3,1]=>[1,3,7,4,5,2,6]=>[1,7,3,4,2,5,6]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[6,2,5,7,1,3,4]=>[4,3,1,7,5,2,6]=>[4,5,3,1,7,6,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,2,5,7,1,4,3]=>[3,4,1,7,5,2,6]=>[3,7,4,1,5,2,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[6,2,5,7,3,1,4]=>[4,1,3,7,5,2,6]=>[1,4,3,2,5,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[6,2,5,7,3,4,1]=>[1,4,3,7,5,2,6]=>[1,4,3,2,7,5,6]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[6,2,5,7,4,1,3]=>[3,1,4,7,5,2,6]=>[3,7,4,1,5,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[6,2,5,7,4,3,1]=>[1,3,4,7,5,2,6]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,2,7,1,3,4,5]=>[5,4,3,1,7,2,6]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[6,2,7,1,3,5,4]=>[4,5,3,1,7,2,6]=>[4,5,1,7,3,2,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[6,2,7,1,4,3,5]=>[5,3,4,1,7,2,6]=>[3,5,1,7,4,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,2,7,1,4,5,3]=>[3,5,4,1,7,2,6]=>[3,5,1,7,4,2,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[6,2,7,1,5,3,4]=>[4,3,5,1,7,2,6]=>[4,5,1,7,3,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,2,7,1,5,4,3]=>[3,4,5,1,7,2,6]=>[3,4,1,7,2,5,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,2,7,3,1,4,5]=>[5,4,1,3,7,2,6]=>[5,7,1,4,6,3,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[6,2,7,3,1,5,4]=>[4,5,1,3,7,2,6]=>[4,5,1,3,7,2,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[6,2,7,3,4,1,5]=>[5,1,4,3,7,2,6]=>[5,7,1,4,3,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,2,7,3,4,5,1]=>[1,5,4,3,7,2,6]=>[5,7,1,4,3,2,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[6,2,7,3,5,1,4]=>[4,1,5,3,7,2,6]=>[4,5,1,3,2,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,2,7,3,5,4,1]=>[1,4,5,3,7,2,6]=>[4,7,1,3,2,5,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,2,7,4,1,3,5]=>[5,3,1,4,7,2,6]=>[3,5,1,4,7,6,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[6,2,7,4,1,5,3]=>[3,5,1,4,7,2,6]=>[3,5,1,4,7,2,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[6,2,7,4,3,1,5]=>[5,1,3,4,7,2,6]=>[5,7,1,3,4,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[6,2,7,4,3,5,1]=>[1,5,3,4,7,2,6]=>[5,7,1,3,4,2,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[6,2,7,4,5,1,3]=>[3,1,5,4,7,2,6]=>[3,5,1,4,2,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,2,7,4,5,3,1]=>[1,3,5,4,7,2,6]=>[5,7,1,3,2,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,2,7,5,1,3,4]=>[4,3,1,5,7,2,6]=>[4,5,1,3,7,6,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[6,2,7,5,1,4,3]=>[3,4,1,5,7,2,6]=>[3,4,1,2,7,5,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[6,2,7,5,3,1,4]=>[4,1,3,5,7,2,6]=>[4,7,1,3,5,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[6,2,7,5,3,4,1]=>[1,4,3,5,7,2,6]=>[4,7,1,3,5,2,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[3,4,1,2,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[6,2,7,5,4,3,1]=>[1,3,4,5,7,2,6]=>[3,7,1,2,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[6,3,1,2,4,5,7]=>[7,5,4,2,1,3,6]=>[2,5,7,6,4,3,1]=>[[.,[[[.,[[.,.],.]],.],.]],.]
[6,3,1,2,4,7,5]=>[5,7,4,2,1,3,6]=>[2,5,7,4,3,1,6]=>[[.,[[[.,[.,.]],.],.]],[.,.]]
[6,3,1,2,5,4,7]=>[7,4,5,2,1,3,6]=>[4,5,7,6,2,3,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,3,1,2,5,7,4]=>[4,7,5,2,1,3,6]=>[4,5,7,6,2,1,3]=>[[[.,[.,[[.,.],.]]],.],[.,.]]
[6,3,1,2,7,4,5]=>[5,4,7,2,1,3,6]=>[2,5,7,4,3,6,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[6,3,1,2,7,5,4]=>[4,5,7,2,1,3,6]=>[4,5,7,2,1,3,6]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[6,3,1,4,2,5,7]=>[7,5,2,4,1,3,6]=>[2,5,7,1,6,4,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[6,3,1,4,2,7,5]=>[5,7,2,4,1,3,6]=>[2,5,7,4,6,1,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[6,3,1,4,5,2,7]=>[7,2,5,4,1,3,6]=>[2,5,7,6,1,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[6,3,1,4,5,7,2]=>[2,7,5,4,1,3,6]=>[2,5,7,6,4,1,3]=>[[.,[[.,[[.,.],.]],.]],[.,.]]
[6,3,1,4,7,2,5]=>[5,2,7,4,1,3,6]=>[2,5,7,4,1,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[6,3,1,4,7,5,2]=>[2,5,7,4,1,3,6]=>[2,5,7,4,1,3,6]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[6,3,1,5,2,4,7]=>[7,4,2,5,1,3,6]=>[4,5,7,2,6,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,3,1,5,2,7,4]=>[4,7,2,5,1,3,6]=>[4,5,7,2,6,1,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[6,3,1,5,4,2,7]=>[7,2,4,5,1,3,6]=>[2,4,7,1,5,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,3,1,5,4,7,2]=>[2,7,4,5,1,3,6]=>[2,4,7,1,5,3,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,3,1,5,7,2,4]=>[4,2,7,5,1,3,6]=>[4,5,7,2,1,6,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[6,3,1,5,7,4,2]=>[2,4,7,5,1,3,6]=>[2,4,7,5,1,3,6]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[6,3,1,7,2,4,5]=>[5,4,2,7,1,3,6]=>[2,5,7,4,6,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[6,3,1,7,2,5,4]=>[4,5,2,7,1,3,6]=>[4,5,7,2,3,1,6]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[6,3,1,7,4,2,5]=>[5,2,4,7,1,3,6]=>[2,5,7,1,4,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,3,1,7,4,5,2]=>[2,5,4,7,1,3,6]=>[2,5,7,1,4,3,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,3,1,7,5,2,4]=>[4,2,5,7,1,3,6]=>[4,5,7,2,3,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[6,3,1,7,5,4,2]=>[2,4,5,7,1,3,6]=>[2,4,7,1,3,5,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[6,3,2,1,4,5,7]=>[7,5,4,1,2,3,6]=>[1,2,5,7,6,4,3]=>[.,[.,[[[.,[[.,.],.]],.],.]]]
[6,3,2,1,4,7,5]=>[5,7,4,1,2,3,6]=>[1,2,5,7,4,3,6]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[6,3,2,1,5,4,7]=>[7,4,5,1,2,3,6]=>[1,4,5,7,2,6,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,3,2,1,5,7,4]=>[4,7,5,1,2,3,6]=>[1,4,5,7,6,2,3]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[6,3,2,1,7,4,5]=>[5,4,7,1,2,3,6]=>[1,2,5,7,4,6,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[6,3,2,1,7,5,4]=>[4,5,7,1,2,3,6]=>[1,4,5,7,2,3,6]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,3,2,4,1,5,7]=>[7,5,1,4,2,3,6]=>[1,2,7,5,6,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[6,3,2,4,1,7,5]=>[5,7,1,4,2,3,6]=>[1,2,5,4,7,3,6]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[6,3,2,4,5,1,7]=>[7,1,5,4,2,3,6]=>[1,2,7,5,4,6,3]=>[.,[.,[[[[.,.],.],[.,.]],.]]]
[6,3,2,4,5,7,1]=>[1,7,5,4,2,3,6]=>[1,2,7,5,4,3,6]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[6,3,2,4,7,1,5]=>[5,1,7,4,2,3,6]=>[1,2,5,4,3,7,6]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[6,3,2,4,7,5,1]=>[1,5,7,4,2,3,6]=>[1,5,7,4,2,3,6]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[6,3,2,5,1,4,7]=>[7,4,1,5,2,3,6]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[6,3,2,5,1,7,4]=>[4,7,1,5,2,3,6]=>[1,4,7,5,6,2,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,3,2,5,4,1,7]=>[7,1,4,5,2,3,6]=>[1,4,7,2,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,3,2,5,4,7,1]=>[1,7,4,5,2,3,6]=>[1,4,7,2,5,3,6]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[6,3,2,5,7,1,4]=>[4,1,7,5,2,3,6]=>[1,4,7,5,2,6,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[6,3,2,5,7,4,1]=>[1,4,7,5,2,3,6]=>[1,4,7,5,2,3,6]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[6,3,2,7,1,4,5]=>[5,4,1,7,2,3,6]=>[1,2,5,4,7,6,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[6,3,2,7,1,5,4]=>[4,5,1,7,2,3,6]=>[1,4,5,2,7,3,6]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[6,3,2,7,4,1,5]=>[5,1,4,7,2,3,6]=>[1,5,7,2,4,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,3,2,7,4,5,1]=>[1,5,4,7,2,3,6]=>[1,5,7,2,4,3,6]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,3,2,7,5,4,1]=>[1,4,5,7,2,3,6]=>[4,5,7,1,2,3,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[6,3,4,1,2,5,7]=>[7,5,2,1,4,3,6]=>[2,5,1,7,6,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,3,4,1,2,7,5]=>[5,7,2,1,4,3,6]=>[2,5,4,7,6,1,3]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[6,3,4,1,5,2,7]=>[7,2,5,1,4,3,6]=>[2,7,5,6,1,4,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,3,4,1,5,7,2]=>[2,7,5,1,4,3,6]=>[2,7,5,6,4,1,3]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[6,3,4,1,7,2,5]=>[5,2,7,1,4,3,6]=>[2,5,4,7,1,6,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,3,4,1,7,5,2]=>[2,5,7,1,4,3,6]=>[2,5,4,7,1,3,6]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[6,3,4,2,1,5,7]=>[7,5,1,2,4,3,6]=>[1,7,2,5,6,4,3]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[6,3,4,2,1,7,5]=>[5,7,1,2,4,3,6]=>[1,5,2,4,7,3,6]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[6,3,4,2,5,1,7]=>[7,1,5,2,4,3,6]=>[1,7,2,5,4,6,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[6,3,4,2,5,7,1]=>[1,7,5,2,4,3,6]=>[1,7,2,5,4,3,6]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[6,3,4,2,7,1,5]=>[5,1,7,2,4,3,6]=>[1,5,2,4,3,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[6,3,4,2,7,5,1]=>[1,5,7,2,4,3,6]=>[1,5,4,7,2,3,6]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[6,3,4,5,1,2,7]=>[7,2,1,5,4,3,6]=>[2,7,5,1,6,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,3,4,5,1,7,2]=>[2,7,1,5,4,3,6]=>[2,7,5,4,6,1,3]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[6,3,4,5,2,1,7]=>[7,1,2,5,4,3,6]=>[1,7,5,2,4,6,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6]=>[1,7,5,2,4,3,6]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[6,3,4,5,7,1,2]=>[2,1,7,5,4,3,6]=>[2,7,5,4,1,6,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[6,3,4,5,7,2,1]=>[1,2,7,5,4,3,6]=>[1,7,5,4,2,3,6]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[6,3,4,7,1,2,5]=>[5,2,1,7,4,3,6]=>[2,5,4,1,7,6,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,3,4,7,1,5,2]=>[2,5,1,7,4,3,6]=>[2,5,4,1,7,3,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[6,3,4,7,2,1,5]=>[5,1,2,7,4,3,6]=>[1,5,4,2,3,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6]=>[1,5,4,2,7,3,6]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[6,3,4,7,5,1,2]=>[2,1,5,7,4,3,6]=>[2,5,4,1,3,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[6,3,4,7,5,2,1]=>[1,2,5,7,4,3,6]=>[5,7,4,1,2,3,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[6,3,5,1,2,4,7]=>[7,4,2,1,5,3,6]=>[4,5,2,7,6,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[6,3,5,1,2,7,4]=>[4,7,2,1,5,3,6]=>[4,5,2,7,6,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,5,1,4,2,7]=>[7,2,4,1,5,3,6]=>[2,4,1,7,5,6,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,3,5,1,4,7,2]=>[2,7,4,1,5,3,6]=>[2,4,1,7,5,3,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[6,3,5,1,7,2,4]=>[4,2,7,1,5,3,6]=>[4,5,2,7,1,6,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,3,5,1,7,4,2]=>[2,4,7,1,5,3,6]=>[2,7,4,5,1,3,6]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[6,3,5,2,1,4,7]=>[7,4,1,2,5,3,6]=>[1,4,2,5,7,6,3]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[6,3,5,2,1,7,4]=>[4,7,1,2,5,3,6]=>[1,7,4,5,6,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,3,5,2,4,1,7]=>[7,1,4,2,5,3,6]=>[1,4,2,7,5,6,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[6,3,5,2,4,7,1]=>[1,7,4,2,5,3,6]=>[1,4,2,7,5,3,6]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[6,3,5,2,7,1,4]=>[4,1,7,2,5,3,6]=>[1,7,4,5,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,3,5,2,7,4,1]=>[1,4,7,2,5,3,6]=>[1,7,4,5,2,3,6]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[6,3,5,4,1,2,7]=>[7,2,1,4,5,3,6]=>[2,4,1,5,7,6,3]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[6,3,5,4,1,7,2]=>[2,7,1,4,5,3,6]=>[2,7,4,5,6,1,3]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[6,3,5,4,2,1,7]=>[7,1,2,4,5,3,6]=>[1,7,2,4,5,6,3]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6]=>[1,7,2,4,5,3,6]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[6,3,5,4,7,1,2]=>[2,1,7,4,5,3,6]=>[2,7,4,5,1,6,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,3,5,4,7,2,1]=>[1,2,7,4,5,3,6]=>[1,7,2,4,3,5,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,3,5,7,1,2,4]=>[4,2,1,7,5,3,6]=>[4,5,2,1,7,6,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,3,5,7,1,4,2]=>[2,4,1,7,5,3,6]=>[2,7,4,1,5,3,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[6,3,5,7,2,1,4]=>[4,1,2,7,5,3,6]=>[1,7,4,2,5,6,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[6,3,5,7,2,4,1]=>[1,4,2,7,5,3,6]=>[1,7,4,2,5,3,6]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[6,3,5,7,4,1,2]=>[2,1,4,7,5,3,6]=>[2,7,4,1,5,6,3]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[6,3,5,7,4,2,1]=>[1,2,4,7,5,3,6]=>[1,7,4,2,3,5,6]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,3,7,1,2,4,5]=>[5,4,2,1,7,3,6]=>[2,5,4,7,6,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[6,3,7,1,2,5,4]=>[4,5,2,1,7,3,6]=>[4,5,2,7,3,1,6]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,3,7,1,4,2,5]=>[5,2,4,1,7,3,6]=>[2,5,1,7,4,6,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,3,7,1,4,5,2]=>[2,5,4,1,7,3,6]=>[2,5,1,7,4,3,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[6,3,7,1,5,2,4]=>[4,2,5,1,7,3,6]=>[4,5,2,7,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[6,3,7,1,5,4,2]=>[2,4,5,1,7,3,6]=>[2,4,1,7,3,5,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,3,7,2,1,4,5]=>[5,4,1,2,7,3,6]=>[1,5,2,4,7,6,3]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[6,3,7,2,1,5,4]=>[4,5,1,2,7,3,6]=>[1,4,2,5,7,3,6]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[6,3,7,2,4,1,5]=>[5,1,4,2,7,3,6]=>[1,5,2,7,4,6,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[6,3,7,2,4,5,1]=>[1,5,4,2,7,3,6]=>[1,5,2,7,4,3,6]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[6,3,7,2,5,1,4]=>[4,1,5,2,7,3,6]=>[1,4,2,5,3,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[6,3,7,2,5,4,1]=>[1,4,5,2,7,3,6]=>[4,5,1,7,2,3,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,3,7,4,1,2,5]=>[5,2,1,4,7,3,6]=>[2,5,1,4,7,6,3]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[6,3,7,4,1,5,2]=>[2,5,1,4,7,3,6]=>[2,5,1,4,7,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[6,3,7,4,2,1,5]=>[5,1,2,4,7,3,6]=>[5,7,1,2,4,6,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[6,3,7,4,2,5,1]=>[1,5,2,4,7,3,6]=>[5,7,1,2,4,3,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[6,3,7,4,5,1,2]=>[2,1,5,4,7,3,6]=>[2,5,1,4,3,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,3,7,4,5,2,1]=>[1,2,5,4,7,3,6]=>[5,7,1,4,2,3,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,3,7,5,1,2,4]=>[4,2,1,5,7,3,6]=>[4,5,2,3,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,3,7,5,1,4,2]=>[2,4,1,5,7,3,6]=>[2,4,1,3,7,5,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[6,3,7,5,2,1,4]=>[4,1,2,5,7,3,6]=>[4,5,1,2,3,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6]=>[4,5,1,2,7,3,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[6,3,7,5,4,1,2]=>[2,1,4,5,7,3,6]=>[2,4,1,3,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[6,3,7,5,4,2,1]=>[1,2,4,5,7,3,6]=>[4,7,1,2,3,5,6]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[6,4,1,2,3,5,7]=>[7,5,3,2,1,4,6]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[6,4,1,2,3,7,5]=>[5,7,3,2,1,4,6]=>[3,5,7,4,2,1,6]=>[[[.,[[.,[.,.]],.]],.],[.,.]]
[6,4,1,2,5,3,7]=>[7,3,5,2,1,4,6]=>[3,5,7,6,2,4,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,4,1,2,5,7,3]=>[3,7,5,2,1,4,6]=>[3,5,7,6,2,1,4]=>[[[.,[.,[[.,.],.]]],.],[.,.]]
[6,4,1,2,7,3,5]=>[5,3,7,2,1,4,6]=>[3,5,7,4,2,6,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,4,1,2,7,5,3]=>[3,5,7,2,1,4,6]=>[3,5,7,2,1,4,6]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[6,4,1,3,2,5,7]=>[7,5,2,3,1,4,6]=>[2,3,7,5,6,4,1]=>[[.,[.,[[[.,.],[.,.]],.]]],.]
[6,4,1,3,2,7,5]=>[5,7,2,3,1,4,6]=>[2,3,5,4,7,1,6]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[6,4,1,3,5,2,7]=>[7,2,5,3,1,4,6]=>[2,3,7,5,4,6,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[6,4,1,3,5,7,2]=>[2,7,5,3,1,4,6]=>[2,3,7,5,4,1,6]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[6,4,1,3,7,2,5]=>[5,2,7,3,1,4,6]=>[2,3,5,4,1,7,6]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[6,4,1,3,7,5,2]=>[2,5,7,3,1,4,6]=>[2,5,7,3,1,4,6]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[6,4,1,5,2,3,7]=>[7,3,2,5,1,4,6]=>[3,5,7,2,6,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,4,1,5,2,7,3]=>[3,7,2,5,1,4,6]=>[3,5,7,2,6,1,4]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[6,4,1,5,3,2,7]=>[7,2,3,5,1,4,6]=>[2,3,7,1,5,6,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,4,1,5,3,7,2]=>[2,7,3,5,1,4,6]=>[2,3,7,1,5,4,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,4,1,5,7,2,3]=>[3,2,7,5,1,4,6]=>[3,5,7,2,1,6,4]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[6,4,1,5,7,3,2]=>[2,3,7,5,1,4,6]=>[2,3,7,5,1,4,6]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[6,4,1,7,2,3,5]=>[5,3,2,7,1,4,6]=>[3,5,7,4,6,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[6,4,1,7,2,5,3]=>[3,5,2,7,1,4,6]=>[3,5,7,2,4,1,6]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[6,4,1,7,3,2,5]=>[5,2,3,7,1,4,6]=>[2,5,7,3,4,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[6,4,1,7,3,5,2]=>[2,5,3,7,1,4,6]=>[2,5,7,3,4,1,6]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[6,4,1,7,5,2,3]=>[3,2,5,7,1,4,6]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[6,4,1,7,5,3,2]=>[2,3,5,7,1,4,6]=>[2,5,7,1,3,4,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6]=>[1,3,5,7,6,4,2]=>[.,[[.,[[.,[[.,.],.]],.]],.]]
[6,4,2,1,3,7,5]=>[5,7,3,1,2,4,6]=>[1,3,5,7,4,2,6]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[6,4,2,1,5,3,7]=>[7,3,5,1,2,4,6]=>[1,3,5,7,2,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,4,2,1,5,7,3]=>[3,7,5,1,2,4,6]=>[1,3,5,7,6,2,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[6,4,2,1,7,3,5]=>[5,3,7,1,2,4,6]=>[1,3,5,7,4,6,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,4,2,1,7,5,3]=>[3,5,7,1,2,4,6]=>[1,3,5,7,2,4,6]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,4,2,3,1,5,7]=>[7,5,1,3,2,4,6]=>[1,3,7,5,6,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[6,4,2,3,1,7,5]=>[5,7,1,3,2,4,6]=>[1,3,5,4,7,2,6]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,4,2,3,5,1,7]=>[7,1,5,3,2,4,6]=>[1,3,7,5,4,6,2]=>[.,[[.,[[[.,.],.],[.,.]]],.]]
[6,4,2,3,5,7,1]=>[1,7,5,3,2,4,6]=>[1,3,7,5,4,2,6]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[6,4,2,3,7,1,5]=>[5,1,7,3,2,4,6]=>[1,3,5,4,2,7,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[6,4,2,3,7,5,1]=>[1,5,7,3,2,4,6]=>[1,5,7,3,2,4,6]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[6,4,2,5,1,3,7]=>[7,3,1,5,2,4,6]=>[1,3,5,2,7,6,4]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[6,4,2,5,1,7,3]=>[3,7,1,5,2,4,6]=>[1,3,7,5,6,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,4,2,5,3,1,7]=>[7,1,3,5,2,4,6]=>[1,3,7,2,5,6,4]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,4,2,5,3,7,1]=>[1,7,3,5,2,4,6]=>[1,3,7,2,5,4,6]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[6,4,2,5,7,1,3]=>[3,1,7,5,2,4,6]=>[1,3,7,5,2,6,4]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[6,4,2,5,7,3,1]=>[1,3,7,5,2,4,6]=>[1,3,7,5,2,4,6]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[6,4,2,7,1,3,5]=>[5,3,1,7,2,4,6]=>[1,3,5,4,7,6,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[6,4,2,7,1,5,3]=>[3,5,1,7,2,4,6]=>[1,3,5,2,7,4,6]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[6,4,2,7,3,1,5]=>[5,1,3,7,2,4,6]=>[1,5,7,3,4,6,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,4,2,7,3,5,1]=>[1,5,3,7,2,4,6]=>[1,5,7,3,4,2,6]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[6,4,2,7,5,1,3]=>[3,1,5,7,2,4,6]=>[1,3,5,2,4,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,4,2,7,5,3,1]=>[1,3,5,7,2,4,6]=>[3,5,7,1,2,4,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[6,4,3,1,2,5,7]=>[7,5,2,1,3,4,6]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[6,4,3,1,2,7,5]=>[5,7,2,1,3,4,6]=>[2,3,5,7,4,1,6]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]
[6,4,3,1,5,2,7]=>[7,2,5,1,3,4,6]=>[2,3,5,7,1,6,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[6,4,3,1,5,7,2]=>[2,7,5,1,3,4,6]=>[2,3,5,7,6,1,4]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[6,4,3,1,7,2,5]=>[5,2,7,1,3,4,6]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[6,4,3,1,7,5,2]=>[2,5,7,1,3,4,6]=>[2,3,5,7,1,4,6]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[6,4,3,2,1,5,7]=>[7,5,1,2,3,4,6]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[6,4,3,2,1,7,5]=>[5,7,1,2,3,4,6]=>[1,2,3,5,7,4,6]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[6,4,3,2,5,7,1]=>[1,7,5,2,3,4,6]=>[1,2,3,7,5,4,6]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[6,4,3,2,7,5,1]=>[1,5,7,2,3,4,6]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,3,5,1,2,7]=>[7,2,1,5,3,4,6]=>[2,3,5,1,7,6,4]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[6,4,3,5,1,7,2]=>[2,7,1,5,3,4,6]=>[2,3,7,5,6,1,4]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[6,4,3,5,2,1,7]=>[7,1,2,5,3,4,6]=>[1,2,7,3,5,6,4]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[6,4,3,5,7,1,2]=>[2,1,7,5,3,4,6]=>[2,3,7,5,1,6,4]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[6,4,3,5,7,2,1]=>[1,2,7,5,3,4,6]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,4,3,7,1,2,5]=>[5,2,1,7,3,4,6]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[6,4,3,7,1,5,2]=>[2,5,1,7,3,4,6]=>[2,3,5,1,7,4,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,4,3,7,2,1,5]=>[5,1,2,7,3,4,6]=>[1,2,5,3,4,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6]=>[1,2,5,3,7,4,6]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[6,4,3,7,5,1,2]=>[2,1,5,7,3,4,6]=>[2,3,5,1,4,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[6,4,3,7,5,2,1]=>[1,2,5,7,3,4,6]=>[1,5,7,2,3,4,6]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,4,5,1,2,3,7]=>[7,3,2,1,5,4,6]=>[3,5,2,7,6,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[6,4,5,1,2,7,3]=>[3,7,2,1,5,4,6]=>[3,5,2,7,6,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,4,5,1,3,2,7]=>[7,2,3,1,5,4,6]=>[2,3,1,7,5,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,4,5,1,3,7,2]=>[2,7,3,1,5,4,6]=>[2,3,1,7,5,4,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[6,4,5,1,7,2,3]=>[3,2,7,1,5,4,6]=>[3,5,2,7,1,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,4,5,1,7,3,2]=>[2,3,7,1,5,4,6]=>[2,7,3,5,1,4,6]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[6,4,5,2,1,3,7]=>[7,3,1,2,5,4,6]=>[1,3,2,5,7,6,4]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[6,4,5,2,1,7,3]=>[3,7,1,2,5,4,6]=>[1,7,3,5,6,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6]=>[1,3,2,7,5,6,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[6,4,5,2,3,7,1]=>[1,7,3,2,5,4,6]=>[1,3,2,7,5,4,6]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[6,4,5,2,7,1,3]=>[3,1,7,2,5,4,6]=>[1,7,3,5,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,4,5,2,7,3,1]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[6,4,5,3,1,2,7]=>[7,2,1,3,5,4,6]=>[2,3,1,5,7,6,4]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[6,4,5,3,1,7,2]=>[2,7,1,3,5,4,6]=>[2,7,3,5,6,1,4]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[6,4,5,3,2,1,7]=>[7,1,2,3,5,4,6]=>[1,7,2,3,5,6,4]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[6,4,5,3,2,7,1]=>[1,7,2,3,5,4,6]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[6,4,5,3,7,1,2]=>[2,1,7,3,5,4,6]=>[2,7,3,5,1,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,4,5,3,7,2,1]=>[1,2,7,3,5,4,6]=>[1,7,2,5,3,4,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,4,5,7,1,2,3]=>[3,2,1,7,5,4,6]=>[3,5,2,1,7,6,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,4,5,7,1,3,2]=>[2,3,1,7,5,4,6]=>[2,7,3,1,5,4,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[6,4,5,7,2,1,3]=>[3,1,2,7,5,4,6]=>[1,7,3,2,5,6,4]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[6,4,5,7,2,3,1]=>[1,3,2,7,5,4,6]=>[1,7,3,2,5,4,6]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[6,4,5,7,3,1,2]=>[2,1,3,7,5,4,6]=>[2,7,3,1,5,6,4]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[6,4,5,7,3,2,1]=>[1,2,3,7,5,4,6]=>[1,7,5,2,3,4,6]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,4,7,1,2,3,5]=>[5,3,2,1,7,4,6]=>[3,5,4,7,6,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[6,4,7,1,2,5,3]=>[3,5,2,1,7,4,6]=>[3,5,2,7,4,1,6]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,4,7,1,3,2,5]=>[5,2,3,1,7,4,6]=>[2,5,3,7,4,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[6,4,7,1,3,5,2]=>[2,5,3,1,7,4,6]=>[2,5,3,7,4,1,6]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[6,4,7,1,5,2,3]=>[3,2,5,1,7,4,6]=>[3,5,2,7,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[6,4,7,1,5,3,2]=>[2,3,5,1,7,4,6]=>[2,5,1,7,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,4,7,2,1,3,5]=>[5,3,1,2,7,4,6]=>[1,5,3,4,7,6,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[6,4,7,2,1,5,3]=>[3,5,1,2,7,4,6]=>[1,3,2,5,7,4,6]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[6,4,7,2,3,1,5]=>[5,1,3,2,7,4,6]=>[1,5,3,7,4,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,4,7,2,3,5,1]=>[1,5,3,2,7,4,6]=>[1,5,3,7,4,2,6]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6]=>[1,3,2,5,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[6,4,7,2,5,3,1]=>[1,3,5,2,7,4,6]=>[3,5,1,7,2,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,4,7,3,1,2,5]=>[5,2,1,3,7,4,6]=>[2,5,3,4,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[6,4,7,3,1,5,2]=>[2,5,1,3,7,4,6]=>[2,3,1,5,7,4,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[6,4,7,3,2,1,5]=>[5,1,2,3,7,4,6]=>[1,5,2,3,4,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[6,4,7,3,2,5,1]=>[1,5,2,3,7,4,6]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[6,4,7,3,5,1,2]=>[2,1,5,3,7,4,6]=>[2,3,1,5,4,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,4,7,3,5,2,1]=>[1,2,5,3,7,4,6]=>[1,5,2,7,3,4,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,4,7,5,1,2,3]=>[3,2,1,5,7,4,6]=>[3,5,2,4,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,4,7,5,1,3,2]=>[2,3,1,5,7,4,6]=>[2,5,1,3,7,4,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[6,4,7,5,2,1,3]=>[3,1,2,5,7,4,6]=>[3,5,1,2,4,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[6,4,7,5,2,3,1]=>[1,3,2,5,7,4,6]=>[3,5,1,2,7,4,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[6,4,7,5,3,1,2]=>[2,1,3,5,7,4,6]=>[2,5,1,3,4,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[6,4,7,5,3,2,1]=>[1,2,3,5,7,4,6]=>[5,7,1,2,3,4,6]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[6,5,1,2,3,4,7]=>[7,4,3,2,1,5,6]=>[4,5,7,6,3,2,1]=>[[[[.,[.,[[.,.],.]]],.],.],.]
[6,5,1,2,3,7,4]=>[4,7,3,2,1,5,6]=>[4,5,7,3,2,1,6]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[6,5,1,2,4,3,7]=>[7,3,4,2,1,5,6]=>[3,4,7,5,2,6,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,5,1,2,4,7,3]=>[3,7,4,2,1,5,6]=>[3,4,7,5,2,1,6]=>[[[.,[.,[[.,.],.]]],.],[.,.]]
[6,5,1,2,7,3,4]=>[4,3,7,2,1,5,6]=>[4,5,7,3,2,6,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,5,1,2,7,4,3]=>[3,4,7,2,1,5,6]=>[3,4,7,2,1,5,6]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[6,5,1,3,2,4,7]=>[7,4,2,3,1,5,6]=>[2,4,7,5,6,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[6,5,1,3,2,7,4]=>[4,7,2,3,1,5,6]=>[2,4,5,3,7,1,6]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[6,5,1,3,4,2,7]=>[7,2,4,3,1,5,6]=>[2,4,7,5,3,6,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[6,5,1,3,4,7,2]=>[2,7,4,3,1,5,6]=>[2,4,7,5,3,1,6]=>[[.,[[.,[[.,.],.]],.]],[.,.]]
[6,5,1,3,7,2,4]=>[4,2,7,3,1,5,6]=>[2,4,5,3,1,7,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[6,5,1,3,7,4,2]=>[2,4,7,3,1,5,6]=>[2,4,7,3,1,5,6]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[6,5,1,4,2,3,7]=>[7,3,2,4,1,5,6]=>[3,4,7,5,6,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[6,5,1,4,2,7,3]=>[3,7,2,4,1,5,6]=>[3,4,5,2,7,1,6]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[6,5,1,4,3,2,7]=>[7,2,3,4,1,5,6]=>[2,3,7,4,5,6,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,5,1,4,3,7,2]=>[2,7,3,4,1,5,6]=>[2,3,7,4,5,1,6]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[6,5,1,4,7,2,3]=>[3,2,7,4,1,5,6]=>[3,4,5,2,1,7,6]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[6,5,1,4,7,3,2]=>[2,3,7,4,1,5,6]=>[2,3,7,4,1,5,6]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[6,5,1,7,2,3,4]=>[4,3,2,7,1,5,6]=>[4,5,7,3,6,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[6,5,1,7,2,4,3]=>[3,4,2,7,1,5,6]=>[3,4,7,2,5,1,6]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[6,5,1,7,3,2,4]=>[4,2,3,7,1,5,6]=>[2,4,7,3,5,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[6,5,1,7,3,4,2]=>[2,4,3,7,1,5,6]=>[2,4,7,3,5,1,6]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[6,5,1,7,4,2,3]=>[3,2,4,7,1,5,6]=>[3,4,7,2,5,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[6,5,1,7,4,3,2]=>[2,3,4,7,1,5,6]=>[2,3,7,1,4,5,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[6,5,2,1,3,4,7]=>[7,4,3,1,2,5,6]=>[1,4,5,7,6,3,2]=>[.,[[[.,[.,[[.,.],.]]],.],.]]
[6,5,2,1,3,7,4]=>[4,7,3,1,2,5,6]=>[1,4,5,7,3,2,6]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[6,5,2,1,4,3,7]=>[7,3,4,1,2,5,6]=>[3,4,5,7,1,6,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[6,5,2,1,4,7,3]=>[3,7,4,1,2,5,6]=>[3,4,5,7,6,1,2]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[6,5,2,1,7,3,4]=>[4,3,7,1,2,5,6]=>[1,4,5,7,3,6,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[6,5,2,1,7,4,3]=>[3,4,7,1,2,5,6]=>[3,4,5,7,1,2,6]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[6,5,2,3,1,4,7]=>[7,4,1,3,2,5,6]=>[1,4,7,5,6,3,2]=>[.,[[[.,[[.,.],[.,.]]],.],.]]
[6,5,2,3,1,7,4]=>[4,7,1,3,2,5,6]=>[1,4,5,3,7,2,6]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[6,5,2,3,4,1,7]=>[7,1,4,3,2,5,6]=>[1,4,7,5,3,6,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[6,5,2,3,4,7,1]=>[1,7,4,3,2,5,6]=>[1,4,7,5,3,2,6]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[6,5,2,3,7,1,4]=>[4,1,7,3,2,5,6]=>[1,4,5,3,2,7,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[6,5,2,3,7,4,1]=>[1,4,7,3,2,5,6]=>[1,4,7,3,2,5,6]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[6,5,2,4,1,3,7]=>[7,3,1,4,2,5,6]=>[3,4,5,1,7,6,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[6,5,2,4,1,7,3]=>[3,7,1,4,2,5,6]=>[3,4,7,5,6,1,2]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[6,5,2,4,3,1,7]=>[7,1,3,4,2,5,6]=>[1,3,7,4,5,6,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,5,2,4,3,7,1]=>[1,7,3,4,2,5,6]=>[1,3,7,4,5,2,6]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,5,2,4,7,1,3]=>[3,1,7,4,2,5,6]=>[3,4,7,5,1,6,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[6,5,2,4,7,3,1]=>[1,3,7,4,2,5,6]=>[1,3,7,4,2,5,6]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[6,5,2,7,1,3,4]=>[4,3,1,7,2,5,6]=>[1,4,5,3,7,6,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[6,5,2,7,1,4,3]=>[3,4,1,7,2,5,6]=>[3,4,5,1,7,2,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,5,2,7,3,1,4]=>[4,1,3,7,2,5,6]=>[1,4,7,3,5,6,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,5,2,7,3,4,1]=>[1,4,3,7,2,5,6]=>[1,4,7,3,5,2,6]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[6,5,2,7,4,1,3]=>[3,1,4,7,2,5,6]=>[3,4,5,1,2,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[6,5,2,7,4,3,1]=>[1,3,4,7,2,5,6]=>[1,3,7,2,4,5,6]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,5,3,1,2,4,7]=>[7,4,2,1,3,5,6]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[6,5,3,1,2,7,4]=>[4,7,2,1,3,5,6]=>[2,4,5,7,3,1,6]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[6,5,3,1,4,2,7]=>[7,2,4,1,3,5,6]=>[2,4,5,7,1,6,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[6,5,3,1,4,7,2]=>[2,7,4,1,3,5,6]=>[2,4,5,7,6,1,3]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[6,5,3,1,7,2,4]=>[4,2,7,1,3,5,6]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[6,5,3,1,7,4,2]=>[2,4,7,1,3,5,6]=>[2,4,5,7,1,3,6]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[6,5,3,2,1,4,7]=>[7,4,1,2,3,5,6]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[6,5,3,2,1,7,4]=>[4,7,1,2,3,5,6]=>[1,2,4,5,7,3,6]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[6,5,3,2,4,1,7]=>[7,1,4,2,3,5,6]=>[1,2,4,7,5,6,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[6,5,3,2,4,7,1]=>[1,7,4,2,3,5,6]=>[1,2,4,7,5,3,6]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[6,5,3,2,7,1,4]=>[4,1,7,2,3,5,6]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,5,3,2,7,4,1]=>[1,4,7,2,3,5,6]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,3,4,1,2,7]=>[7,2,1,4,3,5,6]=>[2,4,5,1,7,6,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[6,5,3,4,1,7,2]=>[2,7,1,4,3,5,6]=>[2,4,7,5,6,1,3]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[1,2,7,4,5,6,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,5,3,4,2,7,1]=>[1,7,2,4,3,5,6]=>[1,2,7,4,5,3,6]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[6,5,3,4,7,1,2]=>[2,1,7,4,3,5,6]=>[2,4,7,5,1,6,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[6,5,3,4,7,2,1]=>[1,2,7,4,3,5,6]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,5,3,7,1,2,4]=>[4,2,1,7,3,5,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,5,3,7,1,4,2]=>[2,4,1,7,3,5,6]=>[2,4,5,1,7,3,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[6,5,3,7,2,4,1]=>[1,4,2,7,3,5,6]=>[1,2,4,3,7,5,6]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[6,5,3,7,4,1,2]=>[2,1,4,7,3,5,6]=>[2,4,5,1,3,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[6,5,3,7,4,2,1]=>[1,2,4,7,3,5,6]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,5,4,1,2,3,7]=>[7,3,2,1,4,5,6]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[6,5,4,1,2,7,3]=>[3,7,2,1,4,5,6]=>[3,4,5,7,2,1,6]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[6,5,4,1,3,2,7]=>[7,2,3,1,4,5,6]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[6,5,4,1,3,7,2]=>[2,7,3,1,4,5,6]=>[2,3,4,7,5,1,6]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[6,5,4,1,7,2,3]=>[3,2,7,1,4,5,6]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,5,4,1,7,3,2]=>[2,3,7,1,4,5,6]=>[2,3,4,7,1,5,6]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[6,5,4,2,1,3,7]=>[7,3,1,2,4,5,6]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[6,5,4,2,1,7,3]=>[3,7,1,2,4,5,6]=>[1,3,4,5,7,2,6]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,4,2,3,1,7]=>[7,1,3,2,4,5,6]=>[1,3,4,7,5,6,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,5,4,2,3,7,1]=>[1,7,3,2,4,5,6]=>[1,3,4,7,5,2,6]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[6,5,4,2,7,1,3]=>[3,1,7,2,4,5,6]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,5,4,2,7,3,1]=>[1,3,7,2,4,5,6]=>[1,3,4,7,2,5,6]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,5,4,3,1,2,7]=>[7,2,1,3,4,5,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[6,5,4,3,1,7,2]=>[2,7,1,3,4,5,6]=>[2,3,4,5,7,1,6]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[6,5,4,3,7,1,2]=>[2,1,7,3,4,5,6]=>[2,3,4,5,1,7,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[6,5,4,3,7,2,1]=>[1,2,7,3,4,5,6]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[6,5,4,7,1,2,3]=>[3,2,1,7,4,5,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,5,4,7,1,3,2]=>[2,3,1,7,4,5,6]=>[2,3,4,1,7,5,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[6,5,4,7,2,1,3]=>[3,1,2,7,4,5,6]=>[1,3,4,2,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,5,4,7,2,3,1]=>[1,3,2,7,4,5,6]=>[1,3,4,2,7,5,6]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[6,5,4,7,3,1,2]=>[2,1,3,7,4,5,6]=>[2,3,4,1,5,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,5,7,1,2,3,4]=>[4,3,2,1,7,5,6]=>[4,5,3,7,6,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[6,5,7,1,2,4,3]=>[3,4,2,1,7,5,6]=>[3,4,2,7,5,1,6]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,5,7,1,3,2,4]=>[4,2,3,1,7,5,6]=>[2,4,3,7,5,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[6,5,7,1,3,4,2]=>[2,4,3,1,7,5,6]=>[2,4,3,7,5,1,6]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[6,5,7,1,4,2,3]=>[3,2,4,1,7,5,6]=>[3,4,2,7,5,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[6,5,7,1,4,3,2]=>[2,3,4,1,7,5,6]=>[2,3,1,7,4,5,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[6,5,7,2,1,3,4]=>[4,3,1,2,7,5,6]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[6,5,7,2,1,4,3]=>[3,4,1,2,7,5,6]=>[3,4,1,5,7,2,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[6,5,7,2,3,1,4]=>[4,1,3,2,7,5,6]=>[1,4,3,7,5,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,5,7,2,3,4,1]=>[1,4,3,2,7,5,6]=>[1,4,3,7,5,2,6]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[6,5,7,2,4,1,3]=>[3,1,4,2,7,5,6]=>[3,4,1,5,2,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,5,7,2,4,3,1]=>[1,3,4,2,7,5,6]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,5,7,3,1,2,4]=>[4,2,1,3,7,5,6]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[6,5,7,3,1,4,2]=>[2,4,1,3,7,5,6]=>[2,4,1,5,7,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[6,5,7,3,2,1,4]=>[4,1,2,3,7,5,6]=>[1,4,2,3,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[6,5,7,3,4,1,2]=>[2,1,4,3,7,5,6]=>[2,4,1,5,3,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,5,7,3,4,2,1]=>[1,2,4,3,7,5,6]=>[1,4,2,7,3,5,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,5,7,4,1,2,3]=>[3,2,1,4,7,5,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,5,7,4,1,3,2]=>[2,3,1,4,7,5,6]=>[2,3,1,4,7,5,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[6,5,7,4,2,3,1]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[6,5,7,4,3,1,2]=>[2,1,3,4,7,5,6]=>[2,3,1,4,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6]=>[1,7,2,3,4,5,6]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6]=>[5,4,7,6,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[6,7,1,2,3,5,4]=>[4,5,3,2,1,7,6]=>[4,3,7,5,2,1,6]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,7,1,2,4,3,5]=>[5,3,4,2,1,7,6]=>[5,3,7,4,2,6,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,7,1,2,4,5,3]=>[3,5,4,2,1,7,6]=>[5,3,7,4,2,1,6]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,7,1,2,5,3,4]=>[4,3,5,2,1,7,6]=>[4,3,7,5,2,6,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,7,1,2,5,4,3]=>[3,4,5,2,1,7,6]=>[3,2,7,4,1,5,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,7,1,3,2,4,5]=>[5,4,2,3,1,7,6]=>[5,2,7,4,6,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[6,7,1,3,2,5,4]=>[4,5,2,3,1,7,6]=>[4,2,5,3,7,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,7,1,3,4,2,5]=>[5,2,4,3,1,7,6]=>[5,2,7,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[6,7,1,3,4,5,2]=>[2,5,4,3,1,7,6]=>[5,2,7,4,3,1,6]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,1,3,5,2,4]=>[4,2,5,3,1,7,6]=>[4,2,5,3,1,7,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,7,1,3,5,4,2]=>[2,4,5,3,1,7,6]=>[4,2,7,3,1,5,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,7,1,4,2,3,5]=>[5,3,2,4,1,7,6]=>[5,3,7,4,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[6,7,1,4,2,5,3]=>[3,5,2,4,1,7,6]=>[3,2,5,4,7,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,7,1,4,3,2,5]=>[5,2,3,4,1,7,6]=>[5,2,7,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,7,1,4,3,5,2]=>[2,5,3,4,1,7,6]=>[5,2,7,3,4,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,7,1,4,5,2,3]=>[3,2,5,4,1,7,6]=>[3,2,5,4,1,7,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,7,1,4,5,3,2]=>[2,3,5,4,1,7,6]=>[5,2,7,3,1,4,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[6,7,1,5,2,3,4]=>[4,3,2,5,1,7,6]=>[4,3,7,5,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[6,7,1,5,2,4,3]=>[3,4,2,5,1,7,6]=>[3,2,7,4,5,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,7,1,5,3,2,4]=>[4,2,3,5,1,7,6]=>[4,2,7,3,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,7,1,5,3,4,2]=>[2,4,3,5,1,7,6]=>[4,2,7,3,5,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,7,1,5,4,2,3]=>[3,2,4,5,1,7,6]=>[3,2,7,4,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,7,1,5,4,3,2]=>[2,3,4,5,1,7,6]=>[2,1,7,3,4,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[6,7,2,1,3,4,5]=>[5,4,3,1,2,7,6]=>[5,1,4,7,6,3,2]=>[[.,.],[[[.,[[.,.],.]],.],.]]
[6,7,2,1,3,5,4]=>[4,5,3,1,2,7,6]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[6,7,2,1,4,3,5]=>[5,3,4,1,2,7,6]=>[3,1,5,7,4,6,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[6,7,2,1,4,5,3]=>[3,5,4,1,2,7,6]=>[3,1,5,7,4,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[6,7,2,1,5,3,4]=>[4,3,5,1,2,7,6]=>[4,1,5,7,3,6,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[6,7,2,1,5,4,3]=>[3,4,5,1,2,7,6]=>[3,1,4,7,2,5,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[6,7,2,3,1,4,5]=>[5,4,1,3,2,7,6]=>[5,1,7,4,6,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[6,7,2,3,1,5,4]=>[4,5,1,3,2,7,6]=>[4,1,5,3,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[6,7,2,3,4,1,5]=>[5,1,4,3,2,7,6]=>[5,1,7,4,3,6,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[6,7,2,3,4,5,1]=>[1,5,4,3,2,7,6]=>[5,1,7,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[6,7,2,3,5,1,4]=>[4,1,5,3,2,7,6]=>[4,1,5,3,2,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[6,7,2,3,5,4,1]=>[1,4,5,3,2,7,6]=>[4,1,7,3,2,5,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[6,7,2,4,1,3,5]=>[5,3,1,4,2,7,6]=>[3,1,5,4,7,6,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[6,7,2,4,1,5,3]=>[3,5,1,4,2,7,6]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[6,7,2,4,3,1,5]=>[5,1,3,4,2,7,6]=>[5,1,7,3,4,6,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[6,7,2,4,3,5,1]=>[1,5,3,4,2,7,6]=>[5,1,7,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[6,7,2,4,5,1,3]=>[3,1,5,4,2,7,6]=>[3,1,5,4,2,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[6,7,2,4,5,3,1]=>[1,3,5,4,2,7,6]=>[5,1,7,3,2,4,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[6,7,2,5,1,3,4]=>[4,3,1,5,2,7,6]=>[4,1,5,3,7,6,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[6,7,2,5,1,4,3]=>[3,4,1,5,2,7,6]=>[3,1,4,2,7,5,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,7,2,5,3,1,4]=>[4,1,3,5,2,7,6]=>[4,1,7,3,5,6,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[6,7,2,5,3,4,1]=>[1,4,3,5,2,7,6]=>[4,1,7,3,5,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[6,7,2,5,4,1,3]=>[3,1,4,5,2,7,6]=>[3,1,4,2,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,7,2,5,4,3,1]=>[1,3,4,5,2,7,6]=>[3,1,7,2,4,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[6,7,3,1,2,4,5]=>[5,4,2,1,3,7,6]=>[5,2,4,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[6,7,3,1,2,5,4]=>[4,5,2,1,3,7,6]=>[4,2,5,7,3,1,6]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[6,7,3,1,4,2,5]=>[5,2,4,1,3,7,6]=>[2,1,5,7,4,6,3]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[6,7,3,1,4,5,2]=>[2,5,4,1,3,7,6]=>[2,1,5,7,4,3,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[6,7,3,1,5,2,4]=>[4,2,5,1,3,7,6]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[6,7,3,1,5,4,2]=>[2,4,5,1,3,7,6]=>[2,1,4,7,3,5,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[6,7,3,2,1,4,5]=>[5,4,1,2,3,7,6]=>[5,1,2,4,7,6,3]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[6,7,3,2,1,5,4]=>[4,5,1,2,3,7,6]=>[4,1,2,5,7,3,6]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[6,7,3,2,4,1,5]=>[5,1,4,2,3,7,6]=>[5,1,2,7,4,6,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[6,7,3,2,4,5,1]=>[1,5,4,2,3,7,6]=>[5,1,2,7,4,3,6]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[6,7,3,2,5,1,4]=>[4,1,5,2,3,7,6]=>[4,1,2,5,3,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[6,7,3,2,5,4,1]=>[1,4,5,2,3,7,6]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[6,7,3,4,1,2,5]=>[5,2,1,4,3,7,6]=>[2,1,5,4,7,6,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[6,7,3,4,1,5,2]=>[2,5,1,4,3,7,6]=>[2,1,5,4,7,3,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[6,7,3,4,2,1,5]=>[5,1,2,4,3,7,6]=>[5,1,7,2,4,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[6,7,3,4,2,5,1]=>[1,5,2,4,3,7,6]=>[5,1,7,2,4,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[6,7,3,4,5,2,1]=>[1,2,5,4,3,7,6]=>[5,1,7,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[6,7,3,5,1,2,4]=>[4,2,1,5,3,7,6]=>[4,2,5,3,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,7,3,5,1,4,2]=>[2,4,1,5,3,7,6]=>[2,1,4,3,7,5,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,7,3,5,2,1,4]=>[4,1,2,5,3,7,6]=>[4,1,5,2,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,7,3,5,2,4,1]=>[1,4,2,5,3,7,6]=>[4,1,5,2,7,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[2,1,4,3,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,7,3,5,4,2,1]=>[1,2,4,5,3,7,6]=>[4,1,7,2,3,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[6,7,4,1,2,3,5]=>[5,3,2,1,4,7,6]=>[5,3,4,7,6,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[6,7,4,1,2,5,3]=>[3,5,2,1,4,7,6]=>[3,2,5,7,4,1,6]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[6,7,4,1,3,2,5]=>[5,2,3,1,4,7,6]=>[5,2,3,7,4,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[6,7,4,1,3,5,2]=>[2,5,3,1,4,7,6]=>[5,2,3,7,4,1,6]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[6,7,4,1,5,2,3]=>[3,2,5,1,4,7,6]=>[3,2,5,7,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[6,7,4,1,5,3,2]=>[2,3,5,1,4,7,6]=>[2,1,5,7,3,4,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[6,7,4,2,1,3,5]=>[5,3,1,2,4,7,6]=>[5,1,3,4,7,6,2]=>[[.,.],[[.,[.,[[.,.],.]]],.]]
[6,7,4,2,1,5,3]=>[3,5,1,2,4,7,6]=>[3,1,2,5,7,4,6]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[6,7,4,2,3,1,5]=>[5,1,3,2,4,7,6]=>[5,1,3,7,4,6,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[6,7,4,2,3,5,1]=>[1,5,3,2,4,7,6]=>[5,1,3,7,4,2,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[6,7,4,2,5,1,3]=>[3,1,5,2,4,7,6]=>[3,1,2,5,4,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[6,7,4,2,5,3,1]=>[1,3,5,2,4,7,6]=>[3,1,5,7,2,4,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[6,7,4,3,1,2,5]=>[5,2,1,3,4,7,6]=>[5,2,3,4,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[6,7,4,3,1,5,2]=>[2,5,1,3,4,7,6]=>[2,1,3,5,7,4,6]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[6,7,4,3,2,1,5]=>[5,1,2,3,4,7,6]=>[5,1,2,3,4,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[6,7,4,3,2,5,1]=>[1,5,2,3,4,7,6]=>[5,1,2,3,7,4,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[2,1,3,5,4,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[6,7,4,3,5,2,1]=>[1,2,5,3,4,7,6]=>[5,1,2,7,3,4,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,7,4,5,1,3,2]=>[2,3,1,5,4,7,6]=>[2,1,5,3,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6]=>[3,1,5,2,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[6,7,4,5,3,1,2]=>[2,1,3,5,4,7,6]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[6,7,5,1,2,3,4]=>[4,3,2,1,5,7,6]=>[4,3,5,7,6,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[6,7,5,1,2,4,3]=>[3,4,2,1,5,7,6]=>[3,2,4,7,5,1,6]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[6,7,5,1,3,2,4]=>[4,2,3,1,5,7,6]=>[4,2,3,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[6,7,5,1,3,4,2]=>[2,4,3,1,5,7,6]=>[4,2,3,7,5,1,6]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[6,7,5,1,4,2,3]=>[3,2,4,1,5,7,6]=>[3,2,4,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[6,7,5,1,4,3,2]=>[2,3,4,1,5,7,6]=>[2,1,3,7,4,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[6,7,5,2,1,3,4]=>[4,3,1,2,5,7,6]=>[4,1,3,5,7,6,2]=>[[.,.],[[.,[.,[[.,.],.]]],.]]
[6,7,5,2,1,4,3]=>[3,4,1,2,5,7,6]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[6,7,5,2,3,1,4]=>[4,1,3,2,5,7,6]=>[4,1,3,7,5,6,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[6,7,5,2,3,4,1]=>[1,4,3,2,5,7,6]=>[4,1,3,7,5,2,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[6,7,5,2,4,1,3]=>[3,1,4,2,5,7,6]=>[3,1,4,5,2,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[6,7,5,2,4,3,1]=>[1,3,4,2,5,7,6]=>[3,1,2,7,4,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[6,7,5,3,1,2,4]=>[4,2,1,3,5,7,6]=>[4,2,3,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[6,7,5,3,1,4,2]=>[2,4,1,3,5,7,6]=>[2,1,4,5,7,3,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[6,7,5,3,2,1,4]=>[4,1,2,3,5,7,6]=>[4,1,2,3,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[6,7,5,3,2,4,1]=>[1,4,2,3,5,7,6]=>[4,1,2,3,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[6,7,5,3,4,1,2]=>[2,1,4,3,5,7,6]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[6,7,5,3,4,2,1]=>[1,2,4,3,5,7,6]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[6,7,5,4,1,2,3]=>[3,2,1,4,5,7,6]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[6,7,5,4,1,3,2]=>[2,3,1,4,5,7,6]=>[2,1,3,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[6,7,5,4,2,1,3]=>[3,1,2,4,5,7,6]=>[3,1,2,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7]=>[6,7,5,4,3,2,1]=>[[[[[[.,[.,.]],.],.],.],.],.]
[7,1,2,3,4,6,5]=>[5,6,4,3,2,1,7]=>[5,6,4,3,2,1,7]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[7,1,2,3,5,4,6]=>[6,4,5,3,2,1,7]=>[4,6,5,3,2,7,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[7,1,2,3,5,6,4]=>[4,6,5,3,2,1,7]=>[4,6,5,3,2,1,7]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[7,1,2,3,6,4,5]=>[5,4,6,3,2,1,7]=>[5,6,4,3,2,7,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[7,1,2,3,6,5,4]=>[4,5,6,3,2,1,7]=>[4,5,3,2,1,6,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[7,1,2,4,3,5,6]=>[6,5,3,4,2,1,7]=>[3,6,5,4,7,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[7,1,2,4,3,6,5]=>[5,6,3,4,2,1,7]=>[5,6,3,2,7,1,4]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[7,1,2,4,5,3,6]=>[6,3,5,4,2,1,7]=>[3,6,5,4,2,7,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,1,2,4,5,6,3]=>[3,6,5,4,2,1,7]=>[3,6,5,4,2,1,7]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[7,1,2,4,6,3,5]=>[5,3,6,4,2,1,7]=>[5,6,3,2,1,7,4]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[7,1,2,4,6,5,3]=>[3,5,6,4,2,1,7]=>[3,5,4,2,1,6,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[7,1,2,5,3,4,6]=>[6,4,3,5,2,1,7]=>[4,6,5,3,7,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[7,1,2,5,3,6,4]=>[4,6,3,5,2,1,7]=>[4,6,3,2,7,1,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[7,1,2,5,4,3,6]=>[6,3,4,5,2,1,7]=>[3,6,4,2,5,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,1,2,5,4,6,3]=>[3,6,4,5,2,1,7]=>[3,6,4,2,5,1,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[7,1,2,5,6,3,4]=>[4,3,6,5,2,1,7]=>[4,6,3,2,1,7,5]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[7,1,2,5,6,4,3]=>[3,4,6,5,2,1,7]=>[3,6,4,2,1,5,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[7,1,2,6,3,4,5]=>[5,4,3,6,2,1,7]=>[5,6,4,3,7,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[7,1,2,6,3,5,4]=>[4,5,3,6,2,1,7]=>[4,5,3,2,6,1,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[7,1,2,6,4,3,5]=>[5,3,4,6,2,1,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,1,2,6,4,5,3]=>[3,5,4,6,2,1,7]=>[3,5,4,2,6,1,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[7,1,2,6,5,3,4]=>[4,3,5,6,2,1,7]=>[4,5,3,2,6,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[7,1,2,6,5,4,3]=>[3,4,5,6,2,1,7]=>[3,4,2,1,5,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[7,1,3,2,4,5,6]=>[6,5,4,2,3,1,7]=>[2,6,5,7,4,3,1]=>[[.,[[[[.,.],[.,.]],.],.]],.]
[7,1,3,2,4,6,5]=>[5,6,4,2,3,1,7]=>[5,6,4,7,2,1,3]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[7,1,3,2,5,4,6]=>[6,4,5,2,3,1,7]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,1,3,2,5,6,4]=>[4,6,5,2,3,1,7]=>[4,6,5,7,2,1,3]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[7,1,3,2,6,4,5]=>[5,4,6,2,3,1,7]=>[5,6,4,7,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,1,3,2,6,5,4]=>[4,5,6,2,3,1,7]=>[4,5,2,6,1,3,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[7,1,3,4,2,5,6]=>[6,5,2,4,3,1,7]=>[2,6,5,4,7,3,1]=>[[.,[[[[.,.],.],[.,.]],.]],.]
[7,1,3,4,2,6,5]=>[5,6,2,4,3,1,7]=>[5,6,4,2,7,1,3]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[7,1,3,4,5,2,6]=>[6,2,5,4,3,1,7]=>[2,6,5,4,3,7,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[7,1,3,4,5,6,2]=>[2,6,5,4,3,1,7]=>[2,6,5,4,3,1,7]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[7,1,3,4,6,2,5]=>[5,2,6,4,3,1,7]=>[5,6,4,2,1,7,3]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[7,1,3,4,6,5,2]=>[2,5,6,4,3,1,7]=>[2,5,4,3,1,6,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[7,1,3,5,2,4,6]=>[6,4,2,5,3,1,7]=>[4,6,5,2,7,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,1,3,5,2,6,4]=>[4,6,2,5,3,1,7]=>[4,6,5,2,7,1,3]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[7,1,3,5,4,2,6]=>[6,2,4,5,3,1,7]=>[2,6,4,3,5,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[7,1,3,5,4,6,2]=>[2,6,4,5,3,1,7]=>[2,6,4,3,5,1,7]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[7,1,3,5,6,2,4]=>[4,2,6,5,3,1,7]=>[4,6,5,2,1,7,3]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[7,1,3,5,6,4,2]=>[2,4,6,5,3,1,7]=>[2,6,4,3,1,5,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[7,1,3,6,2,4,5]=>[5,4,2,6,3,1,7]=>[5,6,4,2,7,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,1,3,6,2,5,4]=>[4,5,2,6,3,1,7]=>[4,5,2,1,6,3,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[7,1,3,6,4,2,5]=>[5,2,4,6,3,1,7]=>[2,5,4,3,6,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[7,1,3,6,4,5,2]=>[2,5,4,6,3,1,7]=>[2,5,4,3,6,1,7]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[7,1,3,6,5,2,4]=>[4,2,5,6,3,1,7]=>[4,5,2,1,6,7,3]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[7,1,3,6,5,4,2]=>[2,4,5,6,3,1,7]=>[2,4,3,1,5,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[7,1,4,2,3,5,6]=>[6,5,3,2,4,1,7]=>[3,6,5,7,4,2,1]=>[[[.,[[[.,.],[.,.]],.]],.],.]
[7,1,4,2,3,6,5]=>[5,6,3,2,4,1,7]=>[5,6,3,7,2,1,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[7,1,4,2,5,3,6]=>[6,3,5,2,4,1,7]=>[3,6,5,7,2,4,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,1,4,2,5,6,3]=>[3,6,5,2,4,1,7]=>[3,6,5,7,2,1,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[7,1,4,2,6,3,5]=>[5,3,6,2,4,1,7]=>[5,6,3,7,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,1,4,2,6,5,3]=>[3,5,6,2,4,1,7]=>[3,5,2,6,1,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[7,1,4,3,2,5,6]=>[6,5,2,3,4,1,7]=>[2,6,3,5,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[7,1,4,3,2,6,5]=>[5,6,2,3,4,1,7]=>[2,5,3,6,7,1,4]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[7,1,4,3,5,2,6]=>[6,2,5,3,4,1,7]=>[2,6,3,5,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,1,4,3,5,6,2]=>[2,6,5,3,4,1,7]=>[2,6,3,5,4,1,7]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[7,1,4,3,6,2,5]=>[5,2,6,3,4,1,7]=>[2,5,3,6,1,7,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[7,1,4,3,6,5,2]=>[2,5,6,3,4,1,7]=>[2,5,3,6,1,4,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,1,4,5,2,3,6]=>[6,3,2,5,4,1,7]=>[3,6,5,2,7,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,1,4,5,2,6,3]=>[3,6,2,5,4,1,7]=>[3,6,5,2,7,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[7,1,4,5,3,2,6]=>[6,2,3,5,4,1,7]=>[2,6,5,3,4,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[7,1,4,5,3,6,2]=>[2,6,3,5,4,1,7]=>[2,6,5,3,4,1,7]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[7,1,4,5,6,2,3]=>[3,2,6,5,4,1,7]=>[3,6,5,2,1,7,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[7,1,4,5,6,3,2]=>[2,3,6,5,4,1,7]=>[2,6,5,3,1,4,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[7,1,4,6,2,3,5]=>[5,3,2,6,4,1,7]=>[5,6,3,2,7,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,1,4,6,2,5,3]=>[3,5,2,6,4,1,7]=>[3,5,2,1,6,4,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[7,1,4,6,3,2,5]=>[5,2,3,6,4,1,7]=>[2,5,3,1,6,7,4]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[7,1,4,6,3,5,2]=>[2,5,3,6,4,1,7]=>[2,5,3,1,6,4,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,1,4,6,5,2,3]=>[3,2,5,6,4,1,7]=>[3,5,2,1,6,7,4]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[7,1,4,6,5,3,2]=>[2,3,5,6,4,1,7]=>[2,5,3,1,4,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[7,1,5,2,3,4,6]=>[6,4,3,2,5,1,7]=>[4,6,5,7,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[7,1,5,2,3,6,4]=>[4,6,3,2,5,1,7]=>[4,6,3,7,2,1,5]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[7,1,5,2,4,3,6]=>[6,3,4,2,5,1,7]=>[3,6,4,5,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,1,5,2,4,6,3]=>[3,6,4,2,5,1,7]=>[3,6,4,5,2,1,7]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[7,1,5,2,6,3,4]=>[4,3,6,2,5,1,7]=>[4,6,3,7,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,1,5,2,6,4,3]=>[3,4,6,2,5,1,7]=>[3,4,2,6,1,5,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[7,1,5,3,2,4,6]=>[6,4,2,3,5,1,7]=>[2,6,4,5,7,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[7,1,5,3,2,6,4]=>[4,6,2,3,5,1,7]=>[2,4,3,6,7,1,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[7,1,5,3,4,2,6]=>[6,2,4,3,5,1,7]=>[2,6,4,5,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[7,1,5,3,4,6,2]=>[2,6,4,3,5,1,7]=>[2,6,4,5,3,1,7]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[7,1,5,3,6,2,4]=>[4,2,6,3,5,1,7]=>[2,4,3,6,1,7,5]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[7,1,5,3,6,4,2]=>[2,4,6,3,5,1,7]=>[2,4,3,6,1,5,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,1,5,4,2,3,6]=>[6,3,2,4,5,1,7]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[7,1,5,4,2,6,3]=>[3,6,2,4,5,1,7]=>[3,4,2,6,7,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[7,1,5,4,3,2,6]=>[6,2,3,4,5,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,1,5,4,3,6,2]=>[2,6,3,4,5,1,7]=>[2,6,3,4,5,1,7]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[7,1,5,4,6,2,3]=>[3,2,6,4,5,1,7]=>[3,4,2,6,1,7,5]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[7,1,5,4,6,3,2]=>[2,3,6,4,5,1,7]=>[2,6,3,4,1,5,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,1,5,6,2,3,4]=>[4,3,2,6,5,1,7]=>[4,6,3,2,7,5,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,1,5,6,2,4,3]=>[3,4,2,6,5,1,7]=>[3,4,2,1,6,5,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[7,1,5,6,3,2,4]=>[4,2,3,6,5,1,7]=>[2,4,3,1,6,7,5]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[7,1,5,6,3,4,2]=>[2,4,3,6,5,1,7]=>[2,4,3,1,6,5,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,1,5,6,4,2,3]=>[3,2,4,6,5,1,7]=>[3,4,2,1,6,7,5]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[7,1,5,6,4,3,2]=>[2,3,4,6,5,1,7]=>[2,6,3,1,4,5,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[7,1,6,2,3,4,5]=>[5,4,3,2,6,1,7]=>[5,6,4,7,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[7,1,6,2,3,5,4]=>[4,5,3,2,6,1,7]=>[4,5,3,6,2,1,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[7,1,6,2,4,3,5]=>[5,3,4,2,6,1,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,1,6,2,4,5,3]=>[3,5,4,2,6,1,7]=>[3,5,4,6,2,1,7]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[7,1,6,2,5,3,4]=>[4,3,5,2,6,1,7]=>[4,5,3,6,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,1,6,2,5,4,3]=>[3,4,5,2,6,1,7]=>[3,4,2,5,1,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[7,1,6,3,2,4,5]=>[5,4,2,3,6,1,7]=>[2,5,4,6,7,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[7,1,6,3,2,5,4]=>[4,5,2,3,6,1,7]=>[4,5,2,6,7,1,3]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[7,1,6,3,4,2,5]=>[5,2,4,3,6,1,7]=>[2,5,4,6,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[7,1,6,3,4,5,2]=>[2,5,4,3,6,1,7]=>[2,5,4,6,3,1,7]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[7,1,6,3,5,2,4]=>[4,2,5,3,6,1,7]=>[4,5,2,6,1,7,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[7,1,6,3,5,4,2]=>[2,4,5,3,6,1,7]=>[2,4,3,5,1,6,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,1,6,4,2,3,5]=>[5,3,2,4,6,1,7]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[7,1,6,4,2,5,3]=>[3,5,2,4,6,1,7]=>[3,5,2,6,7,1,4]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[7,1,6,4,3,2,5]=>[5,2,3,4,6,1,7]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,1,6,4,3,5,2]=>[2,5,3,4,6,1,7]=>[2,5,3,4,6,1,7]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[7,1,6,4,5,2,3]=>[3,2,5,4,6,1,7]=>[3,5,2,6,1,7,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[7,1,6,4,5,3,2]=>[2,3,5,4,6,1,7]=>[2,5,3,4,1,6,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,1,6,5,2,3,4]=>[4,3,2,5,6,1,7]=>[4,5,3,6,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,1,6,5,2,4,3]=>[3,4,2,5,6,1,7]=>[3,4,2,5,6,1,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[7,1,6,5,3,2,4]=>[4,2,3,5,6,1,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,1,6,5,3,4,2]=>[2,4,3,5,6,1,7]=>[2,4,3,5,6,1,7]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[7,1,6,5,4,2,3]=>[3,2,4,5,6,1,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,1,6,5,4,3,2]=>[2,3,4,5,6,1,7]=>[2,3,1,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[7,2,1,3,4,5,6]=>[6,5,4,3,1,2,7]=>[1,6,7,5,4,3,2]=>[.,[[[[[.,[.,.]],.],.],.],.]]
[7,2,1,3,4,6,5]=>[5,6,4,3,1,2,7]=>[5,6,7,4,3,1,2]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[7,2,1,3,5,4,6]=>[6,4,5,3,1,2,7]=>[4,6,7,5,1,3,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[7,2,1,3,5,6,4]=>[4,6,5,3,1,2,7]=>[4,6,7,5,3,1,2]=>[[[.,[[.,[.,.]],.]],.],[.,.]]
[7,2,1,3,6,4,5]=>[5,4,6,3,1,2,7]=>[5,6,7,4,1,3,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[7,2,1,3,6,5,4]=>[4,5,6,3,1,2,7]=>[4,5,6,3,1,2,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[7,2,1,4,3,5,6]=>[6,5,3,4,1,2,7]=>[3,6,7,1,5,4,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[7,2,1,4,3,6,5]=>[5,6,3,4,1,2,7]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[7,2,1,4,5,3,6]=>[6,3,5,4,1,2,7]=>[3,6,7,5,1,4,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[7,2,1,4,5,6,3]=>[3,6,5,4,1,2,7]=>[3,6,7,5,4,1,2]=>[[.,[[[.,[.,.]],.],.]],[.,.]]
[7,2,1,4,6,3,5]=>[5,3,6,4,1,2,7]=>[5,6,7,3,1,4,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[7,2,1,4,6,5,3]=>[3,5,6,4,1,2,7]=>[3,5,6,4,1,2,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[7,2,1,5,3,4,6]=>[6,4,3,5,1,2,7]=>[4,6,7,1,5,3,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[7,2,1,5,3,6,4]=>[4,6,3,5,1,2,7]=>[4,6,7,3,5,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[7,2,1,5,4,3,6]=>[6,3,4,5,1,2,7]=>[3,4,6,1,5,7,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[7,2,1,5,4,6,3]=>[3,6,4,5,1,2,7]=>[3,4,6,1,5,2,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,2,1,5,6,3,4]=>[4,3,6,5,1,2,7]=>[4,6,7,3,1,5,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[7,2,1,5,6,4,3]=>[3,4,6,5,1,2,7]=>[3,4,6,5,1,2,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[7,2,1,6,3,4,5]=>[5,4,3,6,1,2,7]=>[5,6,7,1,4,3,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[7,2,1,6,3,5,4]=>[4,5,3,6,1,2,7]=>[4,5,6,1,3,2,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,2,1,6,4,3,5]=>[5,3,4,6,1,2,7]=>[3,5,6,1,4,7,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[7,2,1,6,4,5,3]=>[3,5,4,6,1,2,7]=>[3,5,6,1,4,2,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,2,1,6,5,3,4]=>[4,3,5,6,1,2,7]=>[4,5,6,1,3,7,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[7,2,1,6,5,4,3]=>[3,4,5,6,1,2,7]=>[3,4,5,1,2,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,2,3,1,4,5,6]=>[6,5,4,1,3,2,7]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[7,2,3,1,4,6,5]=>[5,6,4,1,3,2,7]=>[5,6,4,7,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[7,2,3,1,5,4,6]=>[6,4,5,1,3,2,7]=>[4,6,5,7,1,3,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[7,2,3,1,5,6,4]=>[4,6,5,1,3,2,7]=>[4,6,5,7,3,1,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[7,2,3,1,6,4,5]=>[5,4,6,1,3,2,7]=>[5,6,4,7,1,3,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[7,2,3,1,6,5,4]=>[4,5,6,1,3,2,7]=>[4,5,3,6,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[7,2,3,4,1,5,6]=>[6,5,1,4,3,2,7]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[7,2,3,4,1,6,5]=>[5,6,1,4,3,2,7]=>[5,6,4,3,7,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[7,2,3,4,5,1,6]=>[6,1,5,4,3,2,7]=>[1,6,5,4,3,7,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]
[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[7,2,3,4,6,1,5]=>[5,1,6,4,3,2,7]=>[5,6,4,3,1,7,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[7,2,3,4,6,5,1]=>[1,5,6,4,3,2,7]=>[1,5,4,3,2,6,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[7,2,3,5,1,4,6]=>[6,4,1,5,3,2,7]=>[4,6,5,1,7,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,2,3,5,1,6,4]=>[4,6,1,5,3,2,7]=>[4,6,5,3,7,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[7,2,3,5,4,1,6]=>[6,1,4,5,3,2,7]=>[1,6,4,3,5,7,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[7,2,3,5,4,6,1]=>[1,6,4,5,3,2,7]=>[1,6,4,3,5,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[7,2,3,5,6,1,4]=>[4,1,6,5,3,2,7]=>[4,6,5,3,1,7,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[7,2,3,5,6,4,1]=>[1,4,6,5,3,2,7]=>[1,6,4,3,2,5,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[7,2,3,6,1,4,5]=>[5,4,1,6,3,2,7]=>[5,6,4,1,7,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[7,2,3,6,1,5,4]=>[4,5,1,6,3,2,7]=>[4,5,3,1,6,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[7,2,3,6,4,1,5]=>[5,1,4,6,3,2,7]=>[1,5,4,3,6,7,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[7,2,3,6,4,5,1]=>[1,5,4,6,3,2,7]=>[1,5,4,3,6,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[7,2,3,6,5,1,4]=>[4,1,5,6,3,2,7]=>[4,5,3,1,6,7,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,2,4,1,3,5,6]=>[6,5,3,1,4,2,7]=>[3,6,1,7,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[7,2,4,1,3,6,5]=>[5,6,3,1,4,2,7]=>[5,6,3,7,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[7,2,4,1,5,3,6]=>[6,3,5,1,4,2,7]=>[3,6,5,7,1,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[7,2,4,1,5,6,3]=>[3,6,5,1,4,2,7]=>[3,6,5,7,4,1,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[7,2,4,1,6,3,5]=>[5,3,6,1,4,2,7]=>[5,6,3,7,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[7,2,4,1,6,5,3]=>[3,5,6,1,4,2,7]=>[3,5,4,6,1,2,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,2,4,3,1,5,6]=>[6,5,1,3,4,2,7]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[7,2,4,3,1,6,5]=>[5,6,1,3,4,2,7]=>[1,5,3,6,7,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,2,4,3,5,1,6]=>[6,1,5,3,4,2,7]=>[1,6,3,5,4,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[7,2,4,3,5,6,1]=>[1,6,5,3,4,2,7]=>[1,6,3,5,4,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,2,4,3,6,1,5]=>[5,1,6,3,4,2,7]=>[1,5,3,6,2,7,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[7,2,4,3,6,5,1]=>[1,5,6,3,4,2,7]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,4,5,1,3,6]=>[6,3,1,5,4,2,7]=>[3,6,5,1,7,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,2,4,5,1,6,3]=>[3,6,1,5,4,2,7]=>[3,6,5,4,7,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[7,2,4,5,3,1,6]=>[6,1,3,5,4,2,7]=>[1,6,5,3,4,7,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[7,2,4,5,3,6,1]=>[1,6,3,5,4,2,7]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[7,2,4,5,6,1,3]=>[3,1,6,5,4,2,7]=>[3,6,5,4,1,7,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[7,2,4,5,6,3,1]=>[1,3,6,5,4,2,7]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[7,2,4,6,1,3,5]=>[5,3,1,6,4,2,7]=>[5,6,3,1,7,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[7,2,4,6,1,5,3]=>[3,5,1,6,4,2,7]=>[3,5,4,1,6,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,2,4,6,3,1,5]=>[5,1,3,6,4,2,7]=>[1,5,3,2,6,7,4]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[7,2,4,6,3,5,1]=>[1,5,3,6,4,2,7]=>[1,5,3,2,6,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,2,4,6,5,1,3]=>[3,1,5,6,4,2,7]=>[3,5,4,1,6,7,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[7,2,4,6,5,3,1]=>[1,3,5,6,4,2,7]=>[1,5,3,2,4,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,2,5,1,3,4,6]=>[6,4,3,1,5,2,7]=>[4,6,1,7,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[7,2,5,1,3,6,4]=>[4,6,3,1,5,2,7]=>[4,6,3,7,5,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[7,2,5,1,4,3,6]=>[6,3,4,1,5,2,7]=>[3,4,1,6,5,7,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[7,2,5,1,4,6,3]=>[3,6,4,1,5,2,7]=>[3,4,1,6,5,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,2,5,1,6,3,4]=>[4,3,6,1,5,2,7]=>[4,6,3,7,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[7,2,5,1,6,4,3]=>[3,4,6,1,5,2,7]=>[3,6,4,5,1,2,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,2,5,3,1,4,6]=>[6,4,1,3,5,2,7]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[7,2,5,3,1,6,4]=>[4,6,1,3,5,2,7]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,2,5,3,4,1,6]=>[6,1,4,3,5,2,7]=>[1,6,4,5,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[7,2,5,3,4,6,1]=>[1,6,4,3,5,2,7]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,2,5,3,6,1,4]=>[4,1,6,3,5,2,7]=>[1,4,3,6,2,7,5]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[7,2,5,3,6,4,1]=>[1,4,6,3,5,2,7]=>[1,4,3,6,2,5,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,5,4,1,3,6]=>[6,3,1,4,5,2,7]=>[3,4,1,6,7,5,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[7,2,5,4,1,6,3]=>[3,6,1,4,5,2,7]=>[3,6,4,5,7,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[7,2,5,4,3,1,6]=>[6,1,3,4,5,2,7]=>[1,6,3,4,5,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,2,5,4,6,1,3]=>[3,1,6,4,5,2,7]=>[3,6,4,5,1,7,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[7,2,5,4,6,3,1]=>[1,3,6,4,5,2,7]=>[1,6,3,4,2,5,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,5,6,1,3,4]=>[4,3,1,6,5,2,7]=>[4,6,3,1,7,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[7,2,5,6,1,4,3]=>[3,4,1,6,5,2,7]=>[3,6,4,1,5,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,2,5,6,3,1,4]=>[4,1,3,6,5,2,7]=>[1,4,3,2,6,7,5]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[7,2,5,6,3,4,1]=>[1,4,3,6,5,2,7]=>[1,4,3,2,6,5,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,2,5,6,4,1,3]=>[3,1,4,6,5,2,7]=>[3,6,4,1,5,7,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[7,2,5,6,4,3,1]=>[1,3,4,6,5,2,7]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,2,6,1,3,4,5]=>[5,4,3,1,6,2,7]=>[5,6,1,7,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[7,2,6,1,3,5,4]=>[4,5,3,1,6,2,7]=>[4,5,1,6,3,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,2,6,1,4,3,5]=>[5,3,4,1,6,2,7]=>[3,5,1,6,4,7,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[7,2,6,1,4,5,3]=>[3,5,4,1,6,2,7]=>[3,5,1,6,4,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,2,6,1,5,3,4]=>[4,3,5,1,6,2,7]=>[4,5,1,6,3,7,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[7,2,6,1,5,4,3]=>[3,4,5,1,6,2,7]=>[3,4,1,5,2,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,2,6,3,1,4,5]=>[5,4,1,3,6,2,7]=>[1,5,4,6,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[7,2,6,3,1,5,4]=>[4,5,1,3,6,2,7]=>[4,5,3,6,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[7,2,6,3,4,1,5]=>[5,1,4,3,6,2,7]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[7,2,6,3,4,5,1]=>[1,5,4,3,6,2,7]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,2,6,3,5,1,4]=>[4,1,5,3,6,2,7]=>[4,5,3,6,1,7,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[7,2,6,3,5,4,1]=>[1,4,5,3,6,2,7]=>[1,4,3,5,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,6,4,1,3,5]=>[5,3,1,4,6,2,7]=>[3,5,1,6,7,4,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[7,2,6,4,1,5,3]=>[3,5,1,4,6,2,7]=>[3,5,4,6,7,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[7,2,6,4,3,1,5]=>[5,1,3,4,6,2,7]=>[1,5,3,4,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[7,2,6,4,3,5,1]=>[1,5,3,4,6,2,7]=>[1,5,3,4,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,2,6,4,5,1,3]=>[3,1,5,4,6,2,7]=>[3,5,4,6,1,7,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[1,5,3,4,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,6,5,1,3,4]=>[4,3,1,5,6,2,7]=>[4,5,1,6,7,3,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[7,2,6,5,1,4,3]=>[3,4,1,5,6,2,7]=>[3,4,1,5,6,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[7,2,6,5,3,1,4]=>[4,1,3,5,6,2,7]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[7,2,6,5,3,4,1]=>[1,4,3,5,6,2,7]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,2,6,5,4,1,3]=>[3,1,4,5,6,2,7]=>[3,4,1,5,6,7,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,3,1,2,4,5,6]=>[6,5,4,2,1,3,7]=>[2,6,7,5,4,3,1]=>[[.,[[[[.,[.,.]],.],.],.]],.]
[7,3,1,2,4,6,5]=>[5,6,4,2,1,3,7]=>[5,6,7,4,2,1,3]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[7,3,1,2,5,4,6]=>[6,4,5,2,1,3,7]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[7,3,1,2,5,6,4]=>[4,6,5,2,1,3,7]=>[4,6,7,5,2,1,3]=>[[[.,[[.,[.,.]],.]],.],[.,.]]
[7,3,1,2,6,4,5]=>[5,4,6,2,1,3,7]=>[5,6,7,4,2,3,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[7,3,1,2,6,5,4]=>[4,5,6,2,1,3,7]=>[4,5,6,2,1,3,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[7,3,1,4,2,5,6]=>[6,5,2,4,1,3,7]=>[2,6,7,1,5,4,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[7,3,1,4,2,6,5]=>[5,6,2,4,1,3,7]=>[5,6,7,2,4,1,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[7,3,1,4,5,2,6]=>[6,2,5,4,1,3,7]=>[2,6,7,5,1,4,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[7,3,1,4,5,6,2]=>[2,6,5,4,1,3,7]=>[2,6,7,5,4,1,3]=>[[.,[[[.,[.,.]],.],.]],[.,.]]
[7,3,1,4,6,2,5]=>[5,2,6,4,1,3,7]=>[5,6,7,2,1,4,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[7,3,1,4,6,5,2]=>[2,5,6,4,1,3,7]=>[2,5,6,4,1,3,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[7,3,1,5,2,4,6]=>[6,4,2,5,1,3,7]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[7,3,1,5,2,6,4]=>[4,6,2,5,1,3,7]=>[4,6,7,2,5,1,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[7,3,1,5,4,2,6]=>[6,2,4,5,1,3,7]=>[2,4,6,1,5,7,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[7,3,1,5,4,6,2]=>[2,6,4,5,1,3,7]=>[2,4,6,1,5,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,3,1,5,6,2,4]=>[4,2,6,5,1,3,7]=>[4,6,7,2,1,5,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[7,3,1,5,6,4,2]=>[2,4,6,5,1,3,7]=>[2,4,6,5,1,3,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[7,3,1,6,2,4,5]=>[5,4,2,6,1,3,7]=>[5,6,7,2,4,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[7,3,1,6,2,5,4]=>[4,5,2,6,1,3,7]=>[4,5,6,2,3,1,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[7,3,1,6,4,2,5]=>[5,2,4,6,1,3,7]=>[2,5,6,1,4,7,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[7,3,1,6,4,5,2]=>[2,5,4,6,1,3,7]=>[2,5,6,1,4,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,3,1,6,5,2,4]=>[4,2,5,6,1,3,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,3,1,6,5,4,2]=>[2,4,5,6,1,3,7]=>[2,4,5,1,3,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,3,2,1,4,5,6]=>[6,5,4,1,2,3,7]=>[1,2,6,7,5,4,3]=>[.,[.,[[[[.,[.,.]],.],.],.]]]
[7,3,2,1,4,6,5]=>[5,6,4,1,2,3,7]=>[1,5,6,7,4,2,3]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[7,3,2,1,5,4,6]=>[6,4,5,1,2,3,7]=>[1,4,6,7,2,5,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[7,3,2,1,5,6,4]=>[4,6,5,1,2,3,7]=>[1,4,6,7,5,2,3]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,3,2,1,6,4,5]=>[5,4,6,1,2,3,7]=>[1,5,6,7,2,4,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[7,3,2,1,6,5,4]=>[4,5,6,1,2,3,7]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[7,3,2,4,1,5,6]=>[6,5,1,4,2,3,7]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[7,3,2,4,1,6,5]=>[5,6,1,4,2,3,7]=>[1,5,6,4,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,3,2,4,5,1,6]=>[6,1,5,4,2,3,7]=>[1,2,6,5,4,7,3]=>[.,[.,[[[[.,.],.],[.,.]],.]]]
[7,3,2,4,5,6,1]=>[1,6,5,4,2,3,7]=>[1,2,6,5,4,3,7]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[7,3,2,4,6,1,5]=>[5,1,6,4,2,3,7]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,3,2,5,1,4,6]=>[6,4,1,5,2,3,7]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[7,3,2,5,1,6,4]=>[4,6,1,5,2,3,7]=>[1,4,6,5,7,2,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,3,2,5,4,1,6]=>[6,1,4,5,2,3,7]=>[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[7,3,2,5,4,6,1]=>[1,6,4,5,2,3,7]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,2,5,6,1,4]=>[4,1,6,5,2,3,7]=>[1,4,6,5,2,7,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[7,3,2,5,6,4,1]=>[1,4,6,5,2,3,7]=>[1,4,6,5,2,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,3,2,6,1,4,5]=>[5,4,1,6,2,3,7]=>[1,5,6,2,7,4,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[7,3,2,6,1,5,4]=>[4,5,1,6,2,3,7]=>[4,5,6,1,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,3,2,6,4,1,5]=>[5,1,4,6,2,3,7]=>[1,5,6,2,4,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[7,3,2,6,4,5,1]=>[1,5,4,6,2,3,7]=>[1,5,6,2,4,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,2,6,5,1,4]=>[4,1,5,6,2,3,7]=>[4,5,6,1,2,7,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,3,4,1,2,5,6]=>[6,5,2,1,4,3,7]=>[2,6,1,7,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[7,3,4,1,2,6,5]=>[5,6,2,1,4,3,7]=>[5,6,2,7,4,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[7,3,4,1,5,2,6]=>[6,2,5,1,4,3,7]=>[2,6,5,7,1,4,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[7,3,4,1,5,6,2]=>[2,6,5,1,4,3,7]=>[2,6,5,7,4,1,3]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[7,3,4,1,6,2,5]=>[5,2,6,1,4,3,7]=>[5,6,2,7,1,4,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[7,3,4,1,6,5,2]=>[2,5,6,1,4,3,7]=>[2,5,4,6,1,3,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,3,4,2,1,5,6]=>[6,5,1,2,4,3,7]=>[1,6,2,5,7,4,3]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[7,3,4,2,1,6,5]=>[5,6,1,2,4,3,7]=>[1,5,4,6,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,3,4,2,5,1,6]=>[6,1,5,2,4,3,7]=>[1,6,2,5,4,7,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[7,3,4,2,5,6,1]=>[1,6,5,2,4,3,7]=>[1,6,2,5,4,3,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[7,3,4,2,6,1,5]=>[5,1,6,2,4,3,7]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[7,3,4,2,6,5,1]=>[1,5,6,2,4,3,7]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,3,4,5,1,2,6]=>[6,2,1,5,4,3,7]=>[2,6,5,1,7,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[7,3,4,5,1,6,2]=>[2,6,1,5,4,3,7]=>[2,6,5,4,7,1,3]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[7,3,4,5,2,1,6]=>[6,1,2,5,4,3,7]=>[1,6,5,2,4,7,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[7,3,4,5,2,6,1]=>[1,6,2,5,4,3,7]=>[1,6,5,2,4,3,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,3,4,5,6,1,2]=>[2,1,6,5,4,3,7]=>[2,6,5,4,1,7,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7]=>[1,6,5,4,2,3,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[7,3,4,6,1,2,5]=>[5,2,1,6,4,3,7]=>[5,6,2,1,7,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[7,3,4,6,1,5,2]=>[2,5,1,6,4,3,7]=>[2,5,4,1,6,3,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,3,4,6,2,1,5]=>[5,1,2,6,4,3,7]=>[1,5,4,2,6,7,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[7,3,4,6,2,5,1]=>[1,5,2,6,4,3,7]=>[1,5,4,2,6,3,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,3,4,6,5,1,2]=>[2,1,5,6,4,3,7]=>[2,5,4,1,6,7,3]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7]=>[1,5,4,2,3,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,3,5,1,2,4,6]=>[6,4,2,1,5,3,7]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,5,1,2,6,4]=>[4,6,2,1,5,3,7]=>[4,6,2,7,5,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[7,3,5,1,4,2,6]=>[6,2,4,1,5,3,7]=>[2,4,1,6,5,7,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[7,3,5,1,4,6,2]=>[2,6,4,1,5,3,7]=>[2,4,1,6,5,3,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,3,5,1,6,2,4]=>[4,2,6,1,5,3,7]=>[4,6,2,7,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[7,3,5,1,6,4,2]=>[2,4,6,1,5,3,7]=>[2,6,4,5,1,3,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,3,5,2,1,4,6]=>[6,4,1,2,5,3,7]=>[1,4,2,6,7,5,3]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[7,3,5,2,1,6,4]=>[4,6,1,2,5,3,7]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,3,5,2,4,1,6]=>[6,1,4,2,5,3,7]=>[1,4,2,6,5,7,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[7,3,5,2,4,6,1]=>[1,6,4,2,5,3,7]=>[1,4,2,6,5,3,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[7,3,5,2,6,1,4]=>[4,1,6,2,5,3,7]=>[1,6,4,5,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[7,3,5,2,6,4,1]=>[1,4,6,2,5,3,7]=>[1,6,4,5,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,3,5,4,1,2,6]=>[6,2,1,4,5,3,7]=>[2,4,1,6,7,5,3]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[7,3,5,4,1,6,2]=>[2,6,1,4,5,3,7]=>[2,6,4,5,7,1,3]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[7,3,5,4,2,1,6]=>[6,1,2,4,5,3,7]=>[1,6,2,4,5,7,3]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[7,3,5,4,2,6,1]=>[1,6,2,4,5,3,7]=>[1,6,2,4,5,3,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,3,5,4,6,1,2]=>[2,1,6,4,5,3,7]=>[2,6,4,5,1,7,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,3,5,6,1,2,4]=>[4,2,1,6,5,3,7]=>[4,6,2,1,7,5,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[7,3,5,6,1,4,2]=>[2,4,1,6,5,3,7]=>[2,6,4,1,5,3,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,3,5,6,2,1,4]=>[4,1,2,6,5,3,7]=>[1,6,4,2,5,7,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[7,3,5,6,2,4,1]=>[1,4,2,6,5,3,7]=>[1,6,4,2,5,3,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,3,5,6,4,1,2]=>[2,1,4,6,5,3,7]=>[2,6,4,1,5,7,3]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[7,3,5,6,4,2,1]=>[1,2,4,6,5,3,7]=>[1,6,4,2,3,5,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,3,6,1,2,4,5]=>[5,4,2,1,6,3,7]=>[5,6,2,7,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,6,1,2,5,4]=>[4,5,2,1,6,3,7]=>[4,5,2,6,3,1,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[7,3,6,1,4,2,5]=>[5,2,4,1,6,3,7]=>[2,5,1,6,4,7,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[7,3,6,1,4,5,2]=>[2,5,4,1,6,3,7]=>[2,5,1,6,4,3,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,3,6,1,5,2,4]=>[4,2,5,1,6,3,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,3,6,1,5,4,2]=>[2,4,5,1,6,3,7]=>[2,4,1,5,3,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,3,6,2,1,4,5]=>[5,4,1,2,6,3,7]=>[1,5,2,6,7,4,3]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[7,3,6,2,1,5,4]=>[4,5,1,2,6,3,7]=>[4,5,1,6,7,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[7,3,6,2,4,1,5]=>[5,1,4,2,6,3,7]=>[1,5,2,6,4,7,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[7,3,6,2,4,5,1]=>[1,5,4,2,6,3,7]=>[1,5,2,6,4,3,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[7,3,6,2,5,1,4]=>[4,1,5,2,6,3,7]=>[4,5,1,6,2,7,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[7,3,6,2,5,4,1]=>[1,4,5,2,6,3,7]=>[1,4,2,5,3,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,3,6,4,1,2,5]=>[5,2,1,4,6,3,7]=>[2,5,1,6,7,4,3]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[7,3,6,4,1,5,2]=>[2,5,1,4,6,3,7]=>[2,5,4,6,7,1,3]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[7,3,6,4,2,1,5]=>[5,1,2,4,6,3,7]=>[1,5,2,4,6,7,3]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[7,3,6,4,2,5,1]=>[1,5,2,4,6,3,7]=>[1,5,2,4,6,3,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,3,6,4,5,1,2]=>[2,1,5,4,6,3,7]=>[2,5,4,6,1,7,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[7,3,6,4,5,2,1]=>[1,2,5,4,6,3,7]=>[1,5,2,4,3,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,3,6,5,1,2,4]=>[4,2,1,5,6,3,7]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[7,3,6,5,1,4,2]=>[2,4,1,5,6,3,7]=>[2,4,1,5,6,3,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[7,3,6,5,2,1,4]=>[4,1,2,5,6,3,7]=>[1,4,2,5,6,7,3]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[7,3,6,5,2,4,1]=>[1,4,2,5,6,3,7]=>[1,4,2,5,6,3,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,3,6,5,4,1,2]=>[2,1,4,5,6,3,7]=>[2,4,1,5,6,7,3]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7]=>[1,4,2,3,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,4,1,2,3,5,6]=>[6,5,3,2,1,4,7]=>[3,6,7,5,4,2,1]=>[[[.,[[[.,[.,.]],.],.]],.],.]
[7,4,1,2,3,6,5]=>[5,6,3,2,1,4,7]=>[5,6,7,3,2,1,4]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[7,4,1,2,5,3,6]=>[6,3,5,2,1,4,7]=>[3,6,7,5,2,4,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[7,4,1,2,5,6,3]=>[3,6,5,2,1,4,7]=>[3,6,7,5,2,1,4]=>[[[.,[[.,[.,.]],.]],.],[.,.]]
[7,4,1,2,6,3,5]=>[5,3,6,2,1,4,7]=>[5,6,7,3,2,4,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[7,4,1,2,6,5,3]=>[3,5,6,2,1,4,7]=>[3,5,6,2,1,4,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[7,4,1,3,2,5,6]=>[6,5,2,3,1,4,7]=>[2,3,6,5,7,4,1]=>[[.,[.,[[[.,.],[.,.]],.]]],.]
[7,4,1,3,2,6,5]=>[5,6,2,3,1,4,7]=>[2,5,6,3,7,1,4]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[7,4,1,3,5,2,6]=>[6,2,5,3,1,4,7]=>[2,3,6,5,4,7,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[7,4,1,3,5,6,2]=>[2,6,5,3,1,4,7]=>[2,3,6,5,4,1,7]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[7,4,1,3,6,2,5]=>[5,2,6,3,1,4,7]=>[2,5,6,3,1,7,4]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[7,4,1,3,6,5,2]=>[2,5,6,3,1,4,7]=>[2,5,6,3,1,4,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[7,4,1,5,2,3,6]=>[6,3,2,5,1,4,7]=>[3,6,7,2,5,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[7,4,1,5,2,6,3]=>[3,6,2,5,1,4,7]=>[3,6,7,2,5,1,4]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[7,4,1,5,3,2,6]=>[6,2,3,5,1,4,7]=>[2,3,6,1,5,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[7,4,1,5,3,6,2]=>[2,6,3,5,1,4,7]=>[2,3,6,1,5,4,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,4,1,5,6,2,3]=>[3,2,6,5,1,4,7]=>[3,6,7,2,1,5,4]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[7,4,1,5,6,3,2]=>[2,3,6,5,1,4,7]=>[2,3,6,5,1,4,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[7,4,1,6,2,3,5]=>[5,3,2,6,1,4,7]=>[5,6,7,3,4,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,4,1,6,2,5,3]=>[3,5,2,6,1,4,7]=>[3,5,6,2,4,1,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[7,4,1,6,3,2,5]=>[5,2,3,6,1,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,4,1,6,3,5,2]=>[2,5,3,6,1,4,7]=>[2,5,6,3,4,1,7]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[7,4,1,6,5,2,3]=>[3,2,5,6,1,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,4,1,6,5,3,2]=>[2,3,5,6,1,4,7]=>[2,3,5,1,4,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,4,2,1,3,5,6]=>[6,5,3,1,2,4,7]=>[1,3,6,7,5,4,2]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[7,4,2,1,3,6,5]=>[5,6,3,1,2,4,7]=>[1,5,6,7,3,2,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[7,4,2,1,5,3,6]=>[6,3,5,1,2,4,7]=>[1,3,6,7,2,5,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[7,4,2,1,5,6,3]=>[3,6,5,1,2,4,7]=>[1,3,6,7,5,2,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,4,2,1,6,3,5]=>[5,3,6,1,2,4,7]=>[1,5,6,7,3,4,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[7,4,2,1,6,5,3]=>[3,5,6,1,2,4,7]=>[3,5,6,7,1,2,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[7,4,2,3,1,5,6]=>[6,5,1,3,2,4,7]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[7,4,2,3,1,6,5]=>[5,6,1,3,2,4,7]=>[1,5,6,3,7,2,4]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,4,2,3,5,1,6]=>[6,1,5,3,2,4,7]=>[1,3,6,5,4,7,2]=>[.,[[.,[[[.,.],.],[.,.]]],.]]
[7,4,2,3,5,6,1]=>[1,6,5,3,2,4,7]=>[1,3,6,5,4,2,7]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[7,4,2,3,6,1,5]=>[5,1,6,3,2,4,7]=>[1,5,6,3,2,7,4]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[7,4,2,3,6,5,1]=>[1,5,6,3,2,4,7]=>[1,5,6,3,2,4,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,4,2,5,1,3,6]=>[6,3,1,5,2,4,7]=>[1,3,6,2,7,5,4]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[7,4,2,5,1,6,3]=>[3,6,1,5,2,4,7]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,4,2,5,3,1,6]=>[6,1,3,5,2,4,7]=>[1,3,6,2,5,7,4]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[7,4,2,5,3,6,1]=>[1,6,3,5,2,4,7]=>[1,3,6,2,5,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,4,2,5,6,1,3]=>[3,1,6,5,2,4,7]=>[1,3,6,5,2,7,4]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[7,4,2,5,6,3,1]=>[1,3,6,5,2,4,7]=>[1,3,6,5,2,4,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,4,2,6,1,3,5]=>[5,3,1,6,2,4,7]=>[1,5,6,3,7,4,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[7,4,2,6,1,5,3]=>[3,5,1,6,2,4,7]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,4,2,6,3,1,5]=>[5,1,3,6,2,4,7]=>[1,5,6,3,4,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[7,4,2,6,3,5,1]=>[1,5,3,6,2,4,7]=>[1,5,6,3,4,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,4,2,6,5,1,3]=>[3,1,5,6,2,4,7]=>[3,5,6,1,2,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[7,4,2,6,5,3,1]=>[1,3,5,6,2,4,7]=>[1,3,5,2,4,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,4,3,1,2,5,6]=>[6,5,2,1,3,4,7]=>[2,3,6,7,5,4,1]=>[[.,[.,[[[.,[.,.]],.],.]]],.]
[7,4,3,1,2,6,5]=>[5,6,2,1,3,4,7]=>[2,5,6,7,3,1,4]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[7,4,3,1,5,2,6]=>[6,2,5,1,3,4,7]=>[2,3,6,7,1,5,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[7,4,3,1,5,6,2]=>[2,6,5,1,3,4,7]=>[2,3,6,7,5,1,4]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]
[7,4,3,1,6,2,5]=>[5,2,6,1,3,4,7]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,4,3,1,6,5,2]=>[2,5,6,1,3,4,7]=>[2,5,6,7,1,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[7,4,3,2,1,5,6]=>[6,5,1,2,3,4,7]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[7,4,3,2,1,6,5]=>[5,6,1,2,3,4,7]=>[1,2,5,6,7,3,4]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,4,3,2,5,1,6]=>[6,1,5,2,3,4,7]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[7,4,3,2,6,1,5]=>[5,1,6,2,3,4,7]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,3,5,1,2,6]=>[6,2,1,5,3,4,7]=>[2,3,6,1,7,5,4]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[7,4,3,5,1,6,2]=>[2,6,1,5,3,4,7]=>[2,3,6,5,7,1,4]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[7,4,3,5,2,1,6]=>[6,1,2,5,3,4,7]=>[1,2,6,3,5,7,4]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[7,4,3,5,2,6,1]=>[1,6,2,5,3,4,7]=>[1,2,6,3,5,4,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[7,4,3,5,6,1,2]=>[2,1,6,5,3,4,7]=>[2,3,6,5,1,7,4]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7]=>[1,2,6,5,3,4,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,4,3,6,1,2,5]=>[5,2,1,6,3,4,7]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[7,4,3,6,1,5,2]=>[2,5,1,6,3,4,7]=>[2,5,6,1,7,3,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,4,3,6,2,1,5]=>[5,1,2,6,3,4,7]=>[1,2,5,3,6,7,4]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[7,4,3,6,2,5,1]=>[1,5,2,6,3,4,7]=>[1,2,5,3,6,4,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[7,4,3,6,5,1,2]=>[2,1,5,6,3,4,7]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,4,5,1,2,3,6]=>[6,3,2,1,5,4,7]=>[3,6,2,7,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,4,5,1,2,6,3]=>[3,6,2,1,5,4,7]=>[3,6,2,7,5,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[7,4,5,1,3,2,6]=>[6,2,3,1,5,4,7]=>[2,3,1,6,5,7,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[7,4,5,1,3,6,2]=>[2,6,3,1,5,4,7]=>[2,3,1,6,5,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,4,5,1,6,2,3]=>[3,2,6,1,5,4,7]=>[3,6,2,7,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[7,4,5,1,6,3,2]=>[2,3,6,1,5,4,7]=>[2,6,3,5,1,4,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,4,5,2,1,3,6]=>[6,3,1,2,5,4,7]=>[1,3,2,6,7,5,4]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[7,4,5,2,1,6,3]=>[3,6,1,2,5,4,7]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,4,5,2,3,1,6]=>[6,1,3,2,5,4,7]=>[1,3,2,6,5,7,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[7,4,5,2,3,6,1]=>[1,6,3,2,5,4,7]=>[1,3,2,6,5,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[7,4,5,2,6,1,3]=>[3,1,6,2,5,4,7]=>[1,6,3,5,2,7,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[7,4,5,2,6,3,1]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,4,5,3,1,2,6]=>[6,2,1,3,5,4,7]=>[2,3,1,6,7,5,4]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[7,4,5,3,1,6,2]=>[2,6,1,3,5,4,7]=>[2,6,3,5,7,1,4]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[7,4,5,3,2,1,6]=>[6,1,2,3,5,4,7]=>[1,6,2,3,5,7,4]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[7,4,5,3,2,6,1]=>[1,6,2,3,5,4,7]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,4,5,3,6,1,2]=>[2,1,6,3,5,4,7]=>[2,6,3,5,1,7,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[7,4,5,3,6,2,1]=>[1,2,6,3,5,4,7]=>[1,6,2,5,3,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,4,5,6,1,2,3]=>[3,2,1,6,5,4,7]=>[3,6,2,1,7,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[7,4,5,6,1,3,2]=>[2,3,1,6,5,4,7]=>[2,6,3,1,5,4,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,4,5,6,2,1,3]=>[3,1,2,6,5,4,7]=>[1,6,3,2,5,7,4]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[7,4,5,6,2,3,1]=>[1,3,2,6,5,4,7]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,4,5,6,3,1,2]=>[2,1,3,6,5,4,7]=>[2,6,3,1,5,7,4]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[7,4,5,6,3,2,1]=>[1,2,3,6,5,4,7]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,4,6,1,2,3,5]=>[5,3,2,1,6,4,7]=>[5,6,3,7,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,4,6,1,2,5,3]=>[3,5,2,1,6,4,7]=>[3,5,2,6,4,1,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[7,4,6,1,3,2,5]=>[5,2,3,1,6,4,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,4,6,1,3,5,2]=>[2,5,3,1,6,4,7]=>[2,5,3,6,4,1,7]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[7,4,6,1,5,2,3]=>[3,2,5,1,6,4,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,4,6,1,5,3,2]=>[2,3,5,1,6,4,7]=>[2,3,1,5,4,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,4,6,2,1,3,5]=>[5,3,1,2,6,4,7]=>[1,5,3,6,7,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[7,4,6,2,1,5,3]=>[3,5,1,2,6,4,7]=>[3,5,1,6,7,2,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[7,4,6,2,3,1,5]=>[5,1,3,2,6,4,7]=>[1,5,3,6,4,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[7,4,6,2,3,5,1]=>[1,5,3,2,6,4,7]=>[1,5,3,6,4,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,4,6,2,5,1,3]=>[3,1,5,2,6,4,7]=>[3,5,1,6,2,7,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,4,6,3,1,2,5]=>[5,2,1,3,6,4,7]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[7,4,6,3,1,5,2]=>[2,5,1,3,6,4,7]=>[2,5,1,6,7,3,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[7,4,6,3,2,1,5]=>[5,1,2,3,6,4,7]=>[1,5,2,3,6,7,4]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[7,4,6,3,2,5,1]=>[1,5,2,3,6,4,7]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,4,6,3,5,1,2]=>[2,1,5,3,6,4,7]=>[2,5,1,6,3,7,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[7,4,6,3,5,2,1]=>[1,2,5,3,6,4,7]=>[1,5,2,6,3,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,4,6,5,1,2,3]=>[3,2,1,5,6,4,7]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[7,4,6,5,1,3,2]=>[2,3,1,5,6,4,7]=>[2,3,1,5,6,4,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[7,4,6,5,2,1,3]=>[3,1,2,5,6,4,7]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[7,4,6,5,2,3,1]=>[1,3,2,5,6,4,7]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,4,6,5,3,1,2]=>[2,1,3,5,6,4,7]=>[2,3,1,5,6,7,4]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[7,4,6,5,3,2,1]=>[1,2,3,5,6,4,7]=>[1,5,2,3,4,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,5,1,2,3,4,6]=>[6,4,3,2,1,5,7]=>[4,6,7,5,3,2,1]=>[[[[.,[[.,[.,.]],.]],.],.],.]
[7,5,1,2,3,6,4]=>[4,6,3,2,1,5,7]=>[4,6,7,3,2,1,5]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[7,5,1,2,4,3,6]=>[6,3,4,2,1,5,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[7,5,1,2,4,6,3]=>[3,6,4,2,1,5,7]=>[3,4,6,5,2,1,7]=>[[[.,[.,[[.,.],.]]],.],[.,.]]
[7,5,1,2,6,3,4]=>[4,3,6,2,1,5,7]=>[4,6,7,3,2,5,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[7,5,1,2,6,4,3]=>[3,4,6,2,1,5,7]=>[3,4,6,2,1,5,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[7,5,1,3,2,4,6]=>[6,4,2,3,1,5,7]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[7,5,1,3,2,6,4]=>[4,6,2,3,1,5,7]=>[2,4,6,3,7,1,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[7,5,1,3,4,2,6]=>[6,2,4,3,1,5,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[7,5,1,3,4,6,2]=>[2,6,4,3,1,5,7]=>[2,4,6,5,3,1,7]=>[[.,[[.,[[.,.],.]],.]],[.,.]]
[7,5,1,3,6,2,4]=>[4,2,6,3,1,5,7]=>[2,4,6,3,1,7,5]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[7,5,1,3,6,4,2]=>[2,4,6,3,1,5,7]=>[2,4,6,3,1,5,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[7,5,1,4,2,3,6]=>[6,3,2,4,1,5,7]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[7,5,1,4,2,6,3]=>[3,6,2,4,1,5,7]=>[3,4,6,2,7,1,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[7,5,1,4,3,2,6]=>[6,2,3,4,1,5,7]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[7,5,1,4,3,6,2]=>[2,6,3,4,1,5,7]=>[2,3,6,4,5,1,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[7,5,1,4,6,2,3]=>[3,2,6,4,1,5,7]=>[3,4,6,2,1,7,5]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[7,5,1,4,6,3,2]=>[2,3,6,4,1,5,7]=>[2,3,6,4,1,5,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[7,5,1,6,2,3,4]=>[4,3,2,6,1,5,7]=>[4,6,7,3,5,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,5,1,6,2,4,3]=>[3,4,2,6,1,5,7]=>[3,4,6,2,5,1,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[7,5,1,6,3,2,4]=>[4,2,3,6,1,5,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,5,1,6,3,4,2]=>[2,4,3,6,1,5,7]=>[2,4,6,3,5,1,7]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[7,5,1,6,4,2,3]=>[3,2,4,6,1,5,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,5,1,6,4,3,2]=>[2,3,4,6,1,5,7]=>[2,3,6,1,4,5,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,5,2,1,3,4,6]=>[6,4,3,1,2,5,7]=>[1,4,6,7,5,3,2]=>[.,[[[.,[[.,[.,.]],.]],.],.]]
[7,5,2,1,3,6,4]=>[4,6,3,1,2,5,7]=>[1,4,6,7,3,2,5]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[7,5,2,1,4,3,6]=>[6,3,4,1,2,5,7]=>[3,4,6,7,1,5,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[7,5,2,1,4,6,3]=>[3,6,4,1,2,5,7]=>[3,4,6,7,5,1,2]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]
[7,5,2,1,6,3,4]=>[4,3,6,1,2,5,7]=>[1,4,6,7,3,5,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[7,5,2,1,6,4,3]=>[3,4,6,1,2,5,7]=>[3,4,6,7,1,2,5]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[7,5,2,3,1,4,6]=>[6,4,1,3,2,5,7]=>[1,4,6,5,7,3,2]=>[.,[[[.,[[.,.],[.,.]]],.],.]]
[7,5,2,3,1,6,4]=>[4,6,1,3,2,5,7]=>[1,4,6,3,7,2,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,5,2,3,4,1,6]=>[6,1,4,3,2,5,7]=>[1,4,6,5,3,7,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[7,5,2,3,4,6,1]=>[1,6,4,3,2,5,7]=>[1,4,6,5,3,2,7]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[7,5,2,3,6,1,4]=>[4,1,6,3,2,5,7]=>[1,4,6,3,2,7,5]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[7,5,2,3,6,4,1]=>[1,4,6,3,2,5,7]=>[1,4,6,3,2,5,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,5,2,4,1,3,6]=>[6,3,1,4,2,5,7]=>[3,4,6,1,7,5,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[7,5,2,4,1,6,3]=>[3,6,1,4,2,5,7]=>[3,4,6,5,7,1,2]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[7,5,2,4,3,1,6]=>[6,1,3,4,2,5,7]=>[1,3,6,4,5,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[7,5,2,4,3,6,1]=>[1,6,3,4,2,5,7]=>[1,3,6,4,5,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,5,2,4,6,1,3]=>[3,1,6,4,2,5,7]=>[3,4,6,5,1,7,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[7,5,2,4,6,3,1]=>[1,3,6,4,2,5,7]=>[1,3,6,4,2,5,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,5,2,6,1,3,4]=>[4,3,1,6,2,5,7]=>[1,4,6,3,7,5,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[7,5,2,6,1,4,3]=>[3,4,1,6,2,5,7]=>[3,4,6,1,7,2,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,5,2,6,3,1,4]=>[4,1,3,6,2,5,7]=>[1,4,6,3,5,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[7,5,2,6,3,4,1]=>[1,4,3,6,2,5,7]=>[1,4,6,3,5,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,5,2,6,4,1,3]=>[3,1,4,6,2,5,7]=>[3,4,6,1,2,7,5]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[7,5,2,6,4,3,1]=>[1,3,4,6,2,5,7]=>[1,3,6,2,4,5,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,5,3,1,2,4,6]=>[6,4,2,1,3,5,7]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[7,5,3,1,2,6,4]=>[4,6,2,1,3,5,7]=>[2,4,6,7,3,1,5]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[7,5,3,1,4,2,6]=>[6,2,4,1,3,5,7]=>[2,4,6,7,1,5,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[7,5,3,1,4,6,2]=>[2,6,4,1,3,5,7]=>[2,4,6,7,5,1,3]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]
[7,5,3,1,6,2,4]=>[4,2,6,1,3,5,7]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,5,3,1,6,4,2]=>[2,4,6,1,3,5,7]=>[2,4,6,7,1,3,5]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[7,5,3,2,1,4,6]=>[6,4,1,2,3,5,7]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[7,5,3,2,1,6,4]=>[4,6,1,2,3,5,7]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,5,3,2,4,1,6]=>[6,1,4,2,3,5,7]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[7,5,3,2,4,6,1]=>[1,6,4,2,3,5,7]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[7,5,3,2,6,1,4]=>[4,1,6,2,3,5,7]=>[1,2,4,6,3,7,5]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[7,5,3,2,6,4,1]=>[1,4,6,2,3,5,7]=>[1,2,4,6,3,5,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,5,3,4,1,2,6]=>[6,2,1,4,3,5,7]=>[2,4,6,1,7,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[7,5,3,4,1,6,2]=>[2,6,1,4,3,5,7]=>[2,4,6,5,7,1,3]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[7,5,3,4,2,1,6]=>[6,1,2,4,3,5,7]=>[1,2,6,4,5,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[1,2,6,4,5,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,5,3,4,6,1,2]=>[2,1,6,4,3,5,7]=>[2,4,6,5,1,7,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[7,5,3,4,6,2,1]=>[1,2,6,4,3,5,7]=>[1,2,6,4,3,5,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,5,3,6,1,2,4]=>[4,2,1,6,3,5,7]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[7,5,3,6,1,4,2]=>[2,4,1,6,3,5,7]=>[2,4,6,1,7,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,5,3,6,2,1,4]=>[4,1,2,6,3,5,7]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[7,5,3,6,4,1,2]=>[2,1,4,6,3,5,7]=>[2,4,6,1,3,7,5]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[7,5,3,6,4,2,1]=>[1,2,4,6,3,5,7]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,5,4,1,2,3,6]=>[6,3,2,1,4,5,7]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[7,5,4,1,2,6,3]=>[3,6,2,1,4,5,7]=>[3,4,6,7,2,1,5]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[7,5,4,1,3,2,6]=>[6,2,3,1,4,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[7,5,4,1,3,6,2]=>[2,6,3,1,4,5,7]=>[2,3,4,6,5,1,7]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[7,5,4,1,6,2,3]=>[3,2,6,1,4,5,7]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,5,4,1,6,3,2]=>[2,3,6,1,4,5,7]=>[2,3,4,6,1,5,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[7,5,4,2,1,3,6]=>[6,3,1,2,4,5,7]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[7,5,4,2,1,6,3]=>[3,6,1,2,4,5,7]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,4,2,3,1,6]=>[6,1,3,2,4,5,7]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[7,5,4,2,3,6,1]=>[1,6,3,2,4,5,7]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,5,4,2,6,1,3]=>[3,1,6,2,4,5,7]=>[1,3,4,6,2,7,5]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[7,5,4,2,6,3,1]=>[1,3,6,2,4,5,7]=>[1,3,4,6,2,5,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,5,4,3,1,2,6]=>[6,2,1,3,4,5,7]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[7,5,4,3,1,6,2]=>[2,6,1,3,4,5,7]=>[2,3,4,6,7,1,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[7,5,4,3,6,1,2]=>[2,1,6,3,4,5,7]=>[2,3,4,6,1,7,5]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,5,4,6,1,2,3]=>[3,2,1,6,4,5,7]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[7,5,4,6,1,3,2]=>[2,3,1,6,4,5,7]=>[2,3,4,1,6,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,5,4,6,2,1,3]=>[3,1,2,6,4,5,7]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[7,5,4,6,2,3,1]=>[1,3,2,6,4,5,7]=>[1,3,4,2,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,4,6,3,1,2]=>[2,1,3,6,4,5,7]=>[2,3,4,1,6,7,5]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[7,5,4,6,3,2,1]=>[1,2,3,6,4,5,7]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,6,1,2,3,4]=>[4,3,2,1,6,5,7]=>[4,6,3,7,5,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,5,6,1,2,4,3]=>[3,4,2,1,6,5,7]=>[3,4,2,6,5,1,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[7,5,6,1,3,2,4]=>[4,2,3,1,6,5,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,5,6,1,3,4,2]=>[2,4,3,1,6,5,7]=>[2,4,3,6,5,1,7]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[7,5,6,1,4,2,3]=>[3,2,4,1,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,5,6,1,4,3,2]=>[2,3,4,1,6,5,7]=>[2,3,1,6,4,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,5,6,2,1,3,4]=>[4,3,1,2,6,5,7]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[7,5,6,2,1,4,3]=>[3,4,1,2,6,5,7]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[7,5,6,2,3,1,4]=>[4,1,3,2,6,5,7]=>[1,4,3,6,5,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[7,5,6,2,3,4,1]=>[1,4,3,2,6,5,7]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,5,6,2,4,1,3]=>[3,1,4,2,6,5,7]=>[3,4,1,6,2,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[7,5,6,2,4,3,1]=>[1,3,4,2,6,5,7]=>[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,5,6,3,1,2,4]=>[4,2,1,3,6,5,7]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[7,5,6,3,1,4,2]=>[2,4,1,3,6,5,7]=>[2,4,1,6,7,3,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[7,5,6,3,2,1,4]=>[4,1,2,3,6,5,7]=>[1,4,2,3,6,7,5]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[7,5,6,3,2,4,1]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,5,6,4,1,2,3]=>[3,2,1,4,6,5,7]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[7,5,6,4,1,3,2]=>[2,3,1,4,6,5,7]=>[2,3,1,4,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[7,5,6,4,2,1,3]=>[3,1,2,4,6,5,7]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,5,6,4,3,1,2]=>[2,1,3,4,6,5,7]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7]=>[5,6,7,4,3,2,1]=>[[[[[.,[.,[.,.]]],.],.],.],.]
[7,6,1,2,3,5,4]=>[4,5,3,2,1,6,7]=>[4,5,6,3,2,1,7]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[7,6,1,2,4,3,5]=>[5,3,4,2,1,6,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[7,6,1,2,4,5,3]=>[3,5,4,2,1,6,7]=>[3,5,6,4,2,1,7]=>[[[.,[[.,[.,.]],.]],.],[.,.]]
[7,6,1,2,5,3,4]=>[4,3,5,2,1,6,7]=>[4,5,6,3,2,7,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[7,6,1,2,5,4,3]=>[3,4,5,2,1,6,7]=>[3,4,5,2,1,6,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[7,6,1,3,2,4,5]=>[5,4,2,3,1,6,7]=>[2,5,6,4,7,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[7,6,1,3,2,5,4]=>[4,5,2,3,1,6,7]=>[4,5,6,2,7,1,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[7,6,1,3,4,2,5]=>[5,2,4,3,1,6,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[7,6,1,3,4,5,2]=>[2,5,4,3,1,6,7]=>[2,5,6,4,3,1,7]=>[[.,[[[.,[.,.]],.],.]],[.,.]]
[7,6,1,3,5,2,4]=>[4,2,5,3,1,6,7]=>[4,5,6,2,1,7,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[7,6,1,3,5,4,2]=>[2,4,5,3,1,6,7]=>[2,4,5,3,1,6,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[7,6,1,4,2,3,5]=>[5,3,2,4,1,6,7]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[7,6,1,4,2,5,3]=>[3,5,2,4,1,6,7]=>[3,5,6,2,7,1,4]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[7,6,1,4,3,2,5]=>[5,2,3,4,1,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[7,6,1,4,3,5,2]=>[2,5,3,4,1,6,7]=>[2,3,5,4,6,1,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[7,6,1,4,5,2,3]=>[3,2,5,4,1,6,7]=>[3,5,6,2,1,7,4]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[7,6,1,4,5,3,2]=>[2,3,5,4,1,6,7]=>[2,3,5,4,1,6,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[7,6,1,5,2,3,4]=>[4,3,2,5,1,6,7]=>[4,5,6,3,7,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,6,1,5,2,4,3]=>[3,4,2,5,1,6,7]=>[3,4,5,2,6,1,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[7,6,1,5,3,2,4]=>[4,2,3,5,1,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,6,1,5,3,4,2]=>[2,4,3,5,1,6,7]=>[2,4,5,3,6,1,7]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[7,6,1,5,4,2,3]=>[3,2,4,5,1,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7]=>[2,3,4,1,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,6,2,1,3,4,5]=>[5,4,3,1,2,6,7]=>[1,5,6,7,4,3,2]=>[.,[[[[.,[.,[.,.]]],.],.],.]]
[7,6,2,1,3,5,4]=>[4,5,3,1,2,6,7]=>[4,5,6,7,3,1,2]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[7,6,2,1,4,3,5]=>[5,3,4,1,2,6,7]=>[3,5,6,7,1,4,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[7,6,2,1,4,5,3]=>[3,5,4,1,2,6,7]=>[3,5,6,7,4,1,2]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[7,6,2,1,5,3,4]=>[4,3,5,1,2,6,7]=>[4,5,6,7,1,3,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[7,6,2,1,5,4,3]=>[3,4,5,1,2,6,7]=>[3,4,5,6,1,2,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[7,6,2,3,1,4,5]=>[5,4,1,3,2,6,7]=>[1,5,6,4,7,3,2]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[7,6,2,3,1,5,4]=>[4,5,1,3,2,6,7]=>[4,5,6,3,7,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[7,6,2,3,4,1,5]=>[5,1,4,3,2,6,7]=>[1,5,6,4,3,7,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[7,6,2,3,4,5,1]=>[1,5,4,3,2,6,7]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[7,6,2,3,5,1,4]=>[4,1,5,3,2,6,7]=>[4,5,6,3,1,7,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[7,6,2,3,5,4,1]=>[1,4,5,3,2,6,7]=>[1,4,5,3,2,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,6,2,4,1,3,5]=>[5,3,1,4,2,6,7]=>[3,5,6,1,7,4,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[7,6,2,4,1,5,3]=>[3,5,1,4,2,6,7]=>[3,5,6,4,7,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[7,6,2,4,3,1,5]=>[5,1,3,4,2,6,7]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[7,6,2,4,3,5,1]=>[1,5,3,4,2,6,7]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,6,2,4,5,1,3]=>[3,1,5,4,2,6,7]=>[3,5,6,4,1,7,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[7,6,2,4,5,3,1]=>[1,3,5,4,2,6,7]=>[1,3,5,4,2,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,6,2,5,1,3,4]=>[4,3,1,5,2,6,7]=>[4,5,6,1,7,3,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[7,6,2,5,1,4,3]=>[3,4,1,5,2,6,7]=>[3,4,5,1,6,2,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,6,2,5,3,1,4]=>[4,1,3,5,2,6,7]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[7,6,2,5,3,4,1]=>[1,4,3,5,2,6,7]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,6,2,5,4,1,3]=>[3,1,4,5,2,6,7]=>[3,4,5,1,6,7,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[7,6,2,5,4,3,1]=>[1,3,4,5,2,6,7]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,3,1,2,4,5]=>[5,4,2,1,3,6,7]=>[2,5,6,7,4,3,1]=>[[.,[[[.,[.,[.,.]]],.],.]],.]
[7,6,3,1,2,5,4]=>[4,5,2,1,3,6,7]=>[4,5,6,7,2,1,3]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[7,6,3,1,4,2,5]=>[5,2,4,1,3,6,7]=>[2,5,6,7,1,4,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[7,6,3,1,4,5,2]=>[2,5,4,1,3,6,7]=>[2,5,6,7,4,1,3]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[7,6,3,1,5,2,4]=>[4,2,5,1,3,6,7]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,6,3,1,5,4,2]=>[2,4,5,1,3,6,7]=>[2,4,5,6,1,3,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[7,6,3,2,1,4,5]=>[5,4,1,2,3,6,7]=>[1,2,5,6,7,4,3]=>[.,[.,[[[.,[.,[.,.]]],.],.]]]
[7,6,3,2,1,5,4]=>[4,5,1,2,3,6,7]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,6,3,2,4,1,5]=>[5,1,4,2,3,6,7]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[7,6,3,2,4,5,1]=>[1,5,4,2,3,6,7]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[7,6,3,2,5,1,4]=>[4,1,5,2,3,6,7]=>[1,4,5,6,2,7,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[7,6,3,2,5,4,1]=>[1,4,5,2,3,6,7]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,3,4,1,2,5]=>[5,2,1,4,3,6,7]=>[2,5,6,1,7,4,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[7,6,3,4,1,5,2]=>[2,5,1,4,3,6,7]=>[2,5,6,4,7,1,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[7,6,3,4,2,1,5]=>[5,1,2,4,3,6,7]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[7,6,3,4,2,5,1]=>[1,5,2,4,3,6,7]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,6,3,4,5,1,2]=>[2,1,5,4,3,6,7]=>[2,5,6,4,1,7,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,6,3,5,1,2,4]=>[4,2,1,5,3,6,7]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[7,6,3,5,1,4,2]=>[2,4,1,5,3,6,7]=>[2,4,5,1,6,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,6,3,5,2,1,4]=>[4,1,2,5,3,6,7]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[7,6,3,5,2,4,1]=>[1,4,2,5,3,6,7]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,6,3,5,4,1,2]=>[2,1,4,5,3,6,7]=>[2,4,5,1,6,7,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,4,1,2,3,5]=>[5,3,2,1,4,6,7]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[7,6,4,1,2,5,3]=>[3,5,2,1,4,6,7]=>[3,5,6,7,2,1,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[7,6,4,1,3,2,5]=>[5,2,3,1,4,6,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[7,6,4,1,3,5,2]=>[2,5,3,1,4,6,7]=>[2,3,5,6,4,1,7]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]
[7,6,4,1,5,2,3]=>[3,2,5,1,4,6,7]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,6,4,1,5,3,2]=>[2,3,5,1,4,6,7]=>[2,3,5,6,1,4,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[7,6,4,2,1,3,5]=>[5,3,1,2,4,6,7]=>[1,3,5,6,7,4,2]=>[.,[[.,[[.,[.,[.,.]]],.]],.]]
[7,6,4,2,1,5,3]=>[3,5,1,2,4,6,7]=>[1,3,5,6,7,2,4]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,6,4,2,3,1,5]=>[5,1,3,2,4,6,7]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[7,6,4,2,3,5,1]=>[1,5,3,2,4,6,7]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,6,4,2,5,1,3]=>[3,1,5,2,4,6,7]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[7,6,4,2,5,3,1]=>[1,3,5,2,4,6,7]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,4,3,1,2,5]=>[5,2,1,3,4,6,7]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[7,6,4,3,1,5,2]=>[2,5,1,3,4,6,7]=>[2,3,5,6,7,1,4]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[7,6,4,3,2,5,1]=>[1,5,2,3,4,6,7]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,6,4,3,5,1,2]=>[2,1,5,3,4,6,7]=>[2,3,5,6,1,7,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,6,4,5,1,2,3]=>[3,2,1,5,4,6,7]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[7,6,4,5,1,3,2]=>[2,3,1,5,4,6,7]=>[2,3,5,1,6,4,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,6,4,5,2,1,3]=>[3,1,2,5,4,6,7]=>[1,3,5,2,6,7,4]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[7,6,4,5,2,3,1]=>[1,3,2,5,4,6,7]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,6,4,5,3,1,2]=>[2,1,3,5,4,6,7]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7]=>[4,5,6,7,3,2,1]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[7,6,5,1,2,4,3]=>[3,4,2,1,5,6,7]=>[3,4,5,6,2,1,7]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[7,6,5,1,3,2,4]=>[4,2,3,1,5,6,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,6,5,1,3,4,2]=>[2,4,3,1,5,6,7]=>[2,4,5,6,3,1,7]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[7,6,5,1,4,2,3]=>[3,2,4,1,5,6,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7]=>[2,3,4,5,1,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7]=>[1,4,5,6,7,3,2]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[7,6,5,2,3,1,4]=>[4,1,3,2,5,6,7]=>[1,4,5,6,3,7,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[7,6,5,2,3,4,1]=>[1,4,3,2,5,6,7]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7]=>[3,4,5,6,1,7,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[7,6,5,2,4,3,1]=>[1,3,4,2,5,6,7]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,5,3,1,2,4]=>[4,2,1,3,5,6,7]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[7,6,5,3,1,4,2]=>[2,4,1,3,5,6,7]=>[2,4,5,6,7,1,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[7,6,5,3,2,4,1]=>[1,4,2,3,5,6,7]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7]=>[2,3,4,5,6,1,7]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,7]=>[8,1,2,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,8]=>[1,7,2,3,4,5,6,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,8,5,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[1,8,2,3,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,8,5,4,3,2,1]=>[1,2,3,4,5,8,7,6]=>[8,7,1,2,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,5,6,4,3,2,1]=>[1,2,3,4,6,5,8,7]=>[6,1,8,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6,8]=>[1,2,7,3,4,5,6,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,6,7,4,3,2,1]=>[1,2,3,4,7,6,5,8]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,6,5,8,4,3,2,1]=>[1,2,3,4,8,5,6,7]=>[1,2,8,3,4,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,5,8,4,3,2,1]=>[1,2,3,4,8,5,7,6]=>[8,1,7,2,3,4,5,6]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[7,5,6,8,4,3,2,1]=>[1,2,3,4,8,6,5,7]=>[1,8,6,2,3,4,5,7]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,5,7,8,4,3,2,1]=>[1,2,3,4,8,7,5,6]=>[1,8,7,2,3,4,5,6]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,6,7,8,4,3,2,1]=>[1,2,3,4,8,7,6,5]=>[8,7,6,1,2,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,6,4,5,3,2,1]=>[1,2,3,5,4,6,8,7]=>[5,1,2,8,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[8,6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6,8]=>[1,5,2,7,3,4,6,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,6,8,4,5,3,2,1]=>[1,2,3,5,4,8,6,7]=>[1,5,2,8,3,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,7,8,4,5,3,2,1]=>[1,2,3,5,4,8,7,6]=>[8,5,1,7,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[8,7,5,4,6,3,2,1]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,5,4,6,3,2,1]=>[1,2,3,6,4,5,8,7]=>[6,1,2,8,3,4,5,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,8,4,5,6,3,2,1]=>[1,2,3,6,5,4,8,7]=>[6,1,8,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[8,6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,6,4,7,3,2,1]=>[1,2,3,7,4,6,5,8]=>[1,7,2,6,3,4,5,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,6,4,5,7,3,2,1]=>[1,2,3,7,5,4,6,8]=>[1,2,7,5,3,4,6,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,5,4,6,7,3,2,1]=>[1,2,3,7,6,4,5,8]=>[1,2,7,6,3,4,5,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,6,5,4,8,3,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,5,4,8,3,2,1]=>[1,2,3,8,4,5,7,6]=>[8,1,2,7,3,4,5,6]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,6,4,8,3,2,1]=>[1,2,3,8,4,6,5,7]=>[1,8,2,6,3,4,5,7]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,5,7,4,8,3,2,1]=>[1,2,3,8,4,7,5,6]=>[1,8,2,7,3,4,5,6]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,6,7,4,8,3,2,1]=>[1,2,3,8,4,7,6,5]=>[8,7,1,6,2,3,4,5]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[7,6,4,5,8,3,2,1]=>[1,2,3,8,5,4,6,7]=>[1,2,8,5,3,4,6,7]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,7,4,5,8,3,2,1]=>[1,2,3,8,5,4,7,6]=>[5,1,8,7,2,3,4,6]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[6,5,4,7,8,3,2,1]=>[1,2,3,8,7,4,5,6]=>[1,2,8,7,3,4,5,6]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,6,4,7,8,3,2,1]=>[1,2,3,8,7,4,6,5]=>[8,1,7,6,2,3,4,5]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[6,4,5,7,8,3,2,1]=>[1,2,3,8,7,5,4,6]=>[1,8,7,5,2,3,4,6]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[5,4,6,7,8,3,2,1]=>[1,2,3,8,7,6,4,5]=>[1,8,7,6,2,3,4,5]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[4,5,6,7,8,3,2,1]=>[1,2,3,8,7,6,5,4]=>[8,7,6,5,1,2,3,4]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[8,7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,8,6,5,3,4,2,1]=>[1,2,4,3,5,6,8,7]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[8,6,7,5,3,4,2,1]=>[1,2,4,3,5,7,6,8]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,6,8,5,3,4,2,1]=>[1,2,4,3,5,8,6,7]=>[1,4,2,3,8,5,6,7]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,7,8,5,3,4,2,1]=>[1,2,4,3,5,8,7,6]=>[8,4,1,2,7,3,5,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,8,5,6,3,4,2,1]=>[1,2,4,3,6,5,8,7]=>[4,1,6,2,8,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,6,5,7,3,4,2,1]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,7,5,6,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,6,5,8,3,4,2,1]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,7,5,8,3,4,2,1]=>[1,2,4,3,8,5,7,6]=>[8,1,4,2,7,3,5,6]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,5,6,8,3,4,2,1]=>[1,2,4,3,8,6,5,7]=>[1,8,4,2,6,3,5,7]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,5,7,8,3,4,2,1]=>[1,2,4,3,8,7,5,6]=>[1,8,4,2,7,3,5,6]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,6,7,8,3,4,2,1]=>[1,2,4,3,8,7,6,5]=>[8,7,4,1,6,2,3,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[8,7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7,8]=>[1,2,3,5,6,4,7,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[7,8,6,4,3,5,2,1]=>[1,2,5,3,4,6,8,7]=>[5,1,2,3,8,4,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[8,6,7,4,3,5,2,1]=>[1,2,5,3,4,7,6,8]=>[1,5,2,3,7,4,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,6,8,4,3,5,2,1]=>[1,2,5,3,4,8,6,7]=>[1,5,2,3,8,4,6,7]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,7,8,4,3,5,2,1]=>[1,2,5,3,4,8,7,6]=>[8,5,1,2,7,3,4,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[7,6,8,3,4,5,2,1]=>[1,2,5,4,3,8,6,7]=>[1,5,2,8,4,3,6,7]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,7,8,3,4,5,2,1]=>[1,2,5,4,3,8,7,6]=>[5,4,1,8,7,2,3,6]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]=>[1,2,3,4,6,5,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[7,8,5,4,3,6,2,1]=>[1,2,6,3,4,5,8,7]=>[6,1,2,3,8,4,5,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[8,7,4,5,3,6,2,1]=>[1,2,6,3,5,4,7,8]=>[1,2,6,3,5,4,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,7,5,3,4,6,2,1]=>[1,2,6,4,3,5,7,8]=>[1,2,4,6,5,3,7,8]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]
[8,7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7,8]=>[1,2,3,6,5,4,7,8]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[8,6,5,4,3,7,2,1]=>[1,2,7,3,4,5,6,8]=>[1,2,3,4,7,5,6,8]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[8,5,6,4,3,7,2,1]=>[1,2,7,3,4,6,5,8]=>[1,7,2,3,6,4,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,6,4,5,3,7,2,1]=>[1,2,7,3,5,4,6,8]=>[1,2,7,3,5,4,6,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,5,4,6,3,7,2,1]=>[1,2,7,3,6,4,5,8]=>[1,2,7,3,6,4,5,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,6,4,3,5,7,2,1]=>[1,2,7,5,3,4,6,8]=>[1,2,3,7,5,4,6,8]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[8,5,4,3,6,7,2,1]=>[1,2,7,6,3,4,5,8]=>[1,2,3,7,6,4,5,8]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[8,5,3,4,6,7,2,1]=>[1,2,7,6,4,3,5,8]=>[1,2,7,6,4,3,5,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[8,3,4,5,6,7,2,1]=>[1,2,7,6,5,4,3,8]=>[1,7,6,5,4,2,3,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[7,6,5,4,3,8,2,1]=>[1,2,8,3,4,5,6,7]=>[1,2,3,4,8,5,6,7]=>[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]
[6,7,5,4,3,8,2,1]=>[1,2,8,3,4,5,7,6]=>[8,1,2,3,7,4,5,6]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[7,5,6,4,3,8,2,1]=>[1,2,8,3,4,6,5,7]=>[1,8,2,3,6,4,5,7]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,6,7,4,3,8,2,1]=>[1,2,8,3,4,7,6,5]=>[8,7,1,2,6,3,4,5]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[7,6,4,5,3,8,2,1]=>[1,2,8,3,5,4,6,7]=>[1,2,8,3,5,4,6,7]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,7,4,5,3,8,2,1]=>[1,2,8,3,5,4,7,6]=>[5,1,8,2,7,3,4,6]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,5,4,6,3,8,2,1]=>[1,2,8,3,6,4,5,7]=>[1,2,8,3,6,4,5,7]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,4,5,6,3,8,2,1]=>[1,2,8,3,6,5,4,7]=>[1,8,6,2,5,3,4,7]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,5,4,7,3,8,2,1]=>[1,2,8,3,7,4,5,6]=>[1,2,8,3,7,4,5,6]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,6,4,7,3,8,2,1]=>[1,2,8,3,7,4,6,5]=>[8,1,7,2,6,3,4,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[6,4,5,7,3,8,2,1]=>[1,2,8,3,7,5,4,6]=>[1,8,7,2,5,3,4,6]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,4,6,7,3,8,2,1]=>[1,2,8,3,7,6,4,5]=>[1,8,7,2,6,3,4,5]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,5,6,7,3,8,2,1]=>[1,2,8,3,7,6,5,4]=>[8,7,6,1,5,2,3,4]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[6,7,5,3,4,8,2,1]=>[1,2,8,4,3,5,7,6]=>[4,1,2,8,7,3,5,6]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[7,5,6,3,4,8,2,1]=>[1,2,8,4,3,6,5,7]=>[1,4,2,8,6,3,5,7]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,5,7,3,4,8,2,1]=>[1,2,8,4,3,7,5,6]=>[1,4,2,8,7,3,5,6]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,6,7,3,4,8,2,1]=>[1,2,8,4,3,7,6,5]=>[8,4,1,7,6,2,3,5]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[7,6,4,3,5,8,2,1]=>[1,2,8,5,3,4,6,7]=>[1,2,3,8,5,4,6,7]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[7,6,3,4,5,8,2,1]=>[1,2,8,5,4,3,6,7]=>[1,2,8,5,4,3,6,7]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[7,5,4,3,6,8,2,1]=>[1,2,8,6,3,4,5,7]=>[1,2,3,8,6,4,5,7]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[7,3,4,5,6,8,2,1]=>[1,2,8,6,5,4,3,7]=>[1,8,6,5,4,2,3,7]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[6,5,4,3,7,8,2,1]=>[1,2,8,7,3,4,5,6]=>[1,2,3,8,7,4,5,6]=>[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]
[5,6,4,3,7,8,2,1]=>[1,2,8,7,3,4,6,5]=>[8,1,2,7,6,3,4,5]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[6,4,5,3,7,8,2,1]=>[1,2,8,7,3,5,4,6]=>[1,8,2,7,5,3,4,6]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,5,6,3,7,8,2,1]=>[1,2,8,7,3,6,5,4]=>[8,7,1,6,5,2,3,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[5,6,3,4,7,8,2,1]=>[1,2,8,7,4,3,6,5]=>[4,1,8,7,6,2,3,5]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]
[5,4,3,6,7,8,2,1]=>[1,2,8,7,6,3,4,5]=>[1,2,8,7,6,3,4,5]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[4,5,3,6,7,8,2,1]=>[1,2,8,7,6,3,5,4]=>[8,1,7,6,5,2,3,4]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]
[5,3,4,6,7,8,2,1]=>[1,2,8,7,6,4,3,5]=>[1,8,7,6,4,2,3,5]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[4,3,5,6,7,8,2,1]=>[1,2,8,7,6,5,3,4]=>[1,8,7,6,5,2,3,4]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[3,4,5,6,7,8,2,1]=>[1,2,8,7,6,5,4,3]=>[8,7,6,5,4,1,2,3]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[8,7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7,8]=>[1,3,4,5,6,7,2,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,8,6,5,4,2,3,1]=>[1,3,2,4,5,6,8,7]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,6,8,5,4,2,3,1]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,7,8,5,4,2,3,1]=>[1,3,2,4,5,8,7,6]=>[8,3,1,2,4,7,5,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[8,7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7,8]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,8,5,6,4,2,3,1]=>[1,3,2,4,6,5,8,7]=>[3,1,6,2,4,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[8,5,6,7,4,2,3,1]=>[1,3,2,4,7,6,5,8]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[7,6,5,8,4,2,3,1]=>[1,3,2,4,8,5,6,7]=>[1,3,4,2,5,8,6,7]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,6,7,8,4,2,3,1]=>[1,3,2,4,8,7,6,5]=>[8,7,3,1,2,6,4,5]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[8,7,6,4,5,2,3,1]=>[1,3,2,5,4,6,7,8]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,6,8,4,5,2,3,1]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,7,8,4,5,2,3,1]=>[1,3,2,5,4,8,7,6]=>[8,3,1,5,2,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[8,7,5,4,6,2,3,1]=>[1,3,2,6,4,5,7,8]=>[1,3,4,6,2,7,5,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,7,4,5,6,2,3,1]=>[1,3,2,6,5,4,7,8]=>[1,3,6,5,2,7,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[7,8,4,5,6,2,3,1]=>[1,3,2,6,5,4,8,7]=>[3,1,6,5,2,8,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[8,6,5,4,7,2,3,1]=>[1,3,2,7,4,5,6,8]=>[1,3,4,5,2,7,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,5,6,4,7,2,3,1]=>[1,3,2,7,4,6,5,8]=>[1,7,3,4,2,6,5,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,6,4,5,7,2,3,1]=>[1,3,2,7,5,4,6,8]=>[1,3,7,5,2,6,4,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[8,4,5,6,7,2,3,1]=>[1,3,2,7,6,5,4,8]=>[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[7,6,5,4,8,2,3,1]=>[1,3,2,8,4,5,6,7]=>[1,3,4,5,2,8,6,7]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,5,7,4,8,2,3,1]=>[1,3,2,8,4,7,5,6]=>[1,8,3,4,2,7,5,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,7,4,5,8,2,3,1]=>[1,3,2,8,5,4,7,6]=>[3,1,8,5,2,7,4,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[7,5,4,6,8,2,3,1]=>[1,3,2,8,6,4,5,7]=>[1,3,8,4,2,6,5,7]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[7,4,5,6,8,2,3,1]=>[1,3,2,8,6,5,4,7]=>[1,8,6,3,2,5,4,7]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[6,5,4,7,8,2,3,1]=>[1,3,2,8,7,4,5,6]=>[1,3,8,4,2,7,5,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,4,5,7,8,2,3,1]=>[1,3,2,8,7,5,4,6]=>[1,8,7,3,2,5,4,6]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[5,4,6,7,8,2,3,1]=>[1,3,2,8,7,6,4,5]=>[1,8,7,3,2,6,4,5]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[4,5,6,7,8,2,3,1]=>[1,3,2,8,7,6,5,4]=>[8,7,6,3,1,5,2,4]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[8,7,6,5,3,2,4,1]=>[1,4,2,3,5,6,7,8]=>[1,2,4,5,6,7,3,8]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[7,8,6,5,3,2,4,1]=>[1,4,2,3,5,6,8,7]=>[4,1,2,3,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[8,6,7,5,3,2,4,1]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,6,8,5,3,2,4,1]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,7,8,5,3,2,4,1]=>[1,4,2,3,5,8,7,6]=>[8,4,1,2,3,7,5,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[8,7,5,6,3,2,4,1]=>[1,4,2,3,6,5,7,8]=>[1,2,4,3,6,7,5,8]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[7,8,5,6,3,2,4,1]=>[1,4,2,3,6,5,8,7]=>[4,1,6,2,3,8,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[1,2,4,3,5,7,6,8]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[7,6,5,8,3,2,4,1]=>[1,4,2,3,8,5,6,7]=>[1,2,4,3,5,8,6,7]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[6,7,5,8,3,2,4,1]=>[1,4,2,3,8,5,7,6]=>[8,1,4,2,3,7,5,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[7,5,6,8,3,2,4,1]=>[1,4,2,3,8,6,5,7]=>[1,8,4,2,3,6,5,7]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[6,5,7,8,3,2,4,1]=>[1,4,2,3,8,7,5,6]=>[1,8,4,2,3,7,5,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[5,6,7,8,3,2,4,1]=>[1,4,2,3,8,7,6,5]=>[8,7,4,1,2,6,3,5]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[8,6,7,5,2,3,4,1]=>[1,4,3,2,5,7,6,8]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[6,7,8,5,2,3,4,1]=>[1,4,3,2,5,8,7,6]=>[4,3,1,2,8,7,5,6]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]=>[1,4,3,2,7,6,5,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[5,6,7,8,2,3,4,1]=>[1,4,3,2,8,7,6,5]=>[8,4,3,1,7,6,2,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[8,7,6,4,3,2,5,1]=>[1,5,2,3,4,6,7,8]=>[1,2,3,5,6,7,4,8]=>[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]
[7,8,6,4,3,2,5,1]=>[1,5,2,3,4,6,8,7]=>[5,1,2,3,4,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[8,6,7,4,3,2,5,1]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,6,8,4,3,2,5,1]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,7,8,4,3,2,5,1]=>[1,5,2,3,4,8,7,6]=>[8,5,1,2,3,7,4,6]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[8,7,6,3,4,2,5,1]=>[1,5,2,4,3,6,7,8]=>[1,2,5,6,4,7,3,8]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[8,6,7,3,4,2,5,1]=>[1,5,2,4,3,7,6,8]=>[1,5,2,7,4,6,3,8]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[7,6,8,3,4,2,5,1]=>[1,5,2,4,3,8,6,7]=>[1,5,2,8,4,6,3,7]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[6,7,8,3,4,2,5,1]=>[1,5,2,4,3,8,7,6]=>[5,4,1,8,2,7,3,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[8,7,6,4,2,3,5,1]=>[1,5,3,2,4,6,7,8]=>[1,3,5,6,7,4,2,8]=>[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]
[7,6,8,4,2,3,5,1]=>[1,5,3,2,4,8,6,7]=>[1,5,3,4,8,6,2,7]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[6,7,8,4,2,3,5,1]=>[1,5,3,2,4,8,7,6]=>[5,3,1,2,8,7,4,6]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[8,7,6,3,2,4,5,1]=>[1,5,4,2,3,6,7,8]=>[1,2,5,6,7,4,3,8]=>[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]
[7,8,6,3,2,4,5,1]=>[1,5,4,2,3,6,8,7]=>[5,1,2,4,8,6,3,7]=>[[.,.],[.,[[.,[[.,.],.]],[.,.]]]]
[8,6,7,3,2,4,5,1]=>[1,5,4,2,3,7,6,8]=>[1,5,2,4,7,6,3,8]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[7,6,8,3,2,4,5,1]=>[1,5,4,2,3,8,6,7]=>[1,5,2,4,8,6,3,7]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[6,7,8,3,2,4,5,1]=>[1,5,4,2,3,8,7,6]=>[5,4,1,2,8,7,3,6]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[8,7,6,2,3,4,5,1]=>[1,5,4,3,2,6,7,8]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]
[6,7,8,2,3,4,5,1]=>[1,5,4,3,2,8,7,6]=>[5,4,1,8,7,3,2,6]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[8,7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7,8]=>[1,2,3,4,6,7,5,8]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[7,8,5,4,3,2,6,1]=>[1,6,2,3,4,5,8,7]=>[6,1,2,3,4,8,5,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[8,7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7,8]=>[1,2,4,6,5,7,3,8]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[8,7,4,3,5,2,6,1]=>[1,6,2,5,3,4,7,8]=>[1,2,3,6,5,7,4,8]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[8,7,5,4,2,3,6,1]=>[1,6,3,2,4,5,7,8]=>[1,3,4,6,7,5,2,8]=>[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]
[8,7,5,3,2,4,6,1]=>[1,6,4,2,3,5,7,8]=>[1,2,4,6,7,5,3,8]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]
[7,8,5,3,2,4,6,1]=>[1,6,4,2,3,5,8,7]=>[6,1,2,4,8,5,3,7]=>[[.,.],[.,[[.,[[.,.],.]],[.,.]]]]
[8,7,5,2,3,4,6,1]=>[1,6,4,3,2,5,7,8]=>[1,4,6,7,5,3,2,8]=>[.,[[[.,[[.,[.,.]],.]],.],[.,.]]]
[7,8,4,3,2,5,6,1]=>[1,6,5,2,3,4,8,7]=>[6,1,2,3,8,5,4,7]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]
[8,7,4,2,3,5,6,1]=>[1,6,5,3,2,4,7,8]=>[1,3,6,7,5,4,2,8]=>[.,[[.,[[[.,[.,.]],.],.]],[.,.]]]
[8,7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7,8]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]=>[1,2,3,4,5,7,6,8]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[8,5,6,4,3,2,7,1]=>[1,7,2,3,4,6,5,8]=>[1,7,2,3,4,6,5,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,5,4,6,3,2,7,1]=>[1,7,2,3,6,4,5,8]=>[1,2,7,3,4,6,5,8]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[8,5,6,3,4,2,7,1]=>[1,7,2,4,3,6,5,8]=>[1,4,2,7,3,6,5,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6,8]=>[1,2,3,7,5,6,4,8]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[8,6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6,8]=>[1,2,7,5,4,6,3,8]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[8,5,4,3,6,2,7,1]=>[1,7,2,6,3,4,5,8]=>[1,2,3,7,4,6,5,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[8,4,5,3,6,2,7,1]=>[1,7,2,6,3,5,4,8]=>[1,7,2,6,3,5,4,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,3,4,5,6,2,7,1]=>[1,7,2,6,5,4,3,8]=>[1,7,6,5,2,4,3,8]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[8,6,5,4,2,3,7,1]=>[1,7,3,2,4,5,6,8]=>[1,3,4,5,7,6,2,8]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[8,5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5,8]=>[1,3,2,4,7,6,5,8]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[8,6,4,3,2,5,7,1]=>[1,7,5,2,3,4,6,8]=>[1,2,3,5,7,6,4,8]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]
[8,6,4,2,3,5,7,1]=>[1,7,5,3,2,4,6,8]=>[1,3,5,7,6,4,2,8]=>[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]
[8,5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5,8]=>[1,2,3,4,7,6,5,8]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]
[8,4,5,2,3,6,7,1]=>[1,7,6,3,2,5,4,8]=>[1,3,2,7,6,5,4,8]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[8,3,4,2,5,6,7,1]=>[1,7,6,5,2,4,3,8]=>[1,7,2,6,5,4,3,8]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[8,3,2,4,5,6,7,1]=>[1,7,6,5,4,2,3,8]=>[1,2,7,6,5,4,3,8]=>[.,[.,[[[[[.,.],.],.],.],[.,.]]]]
[8,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,8]=>[1,7,6,5,4,3,2,8]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7]=>[1,2,3,4,5,8,6,7]=>[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]
[6,7,5,4,3,2,8,1]=>[1,8,2,3,4,5,7,6]=>[8,1,2,3,4,7,5,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[7,5,6,4,3,2,8,1]=>[1,8,2,3,4,6,5,7]=>[1,8,2,3,4,6,5,7]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,5,7,4,3,2,8,1]=>[1,8,2,3,4,7,5,6]=>[1,8,2,3,4,7,5,6]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,6,7,4,3,2,8,1]=>[1,8,2,3,4,7,6,5]=>[8,7,1,2,3,6,4,5]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[7,6,4,5,3,2,8,1]=>[1,8,2,3,5,4,6,7]=>[1,2,8,3,5,6,4,7]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[7,5,4,6,3,2,8,1]=>[1,8,2,3,6,4,5,7]=>[1,2,8,3,4,6,5,7]=>[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]
[6,4,5,7,3,2,8,1]=>[1,8,2,3,7,5,4,6]=>[1,8,7,2,3,5,4,6]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[5,4,6,7,3,2,8,1]=>[1,8,2,3,7,6,4,5]=>[1,8,7,2,3,6,4,5]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[4,5,6,7,3,2,8,1]=>[1,8,2,3,7,6,5,4]=>[8,7,6,1,2,5,3,4]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[7,5,6,3,4,2,8,1]=>[1,8,2,4,3,6,5,7]=>[1,4,2,8,3,6,5,7]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,5,7,3,4,2,8,1]=>[1,8,2,4,3,7,5,6]=>[1,4,2,8,3,7,5,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,6,7,3,4,2,8,1]=>[1,8,2,4,3,7,6,5]=>[8,4,1,7,2,6,3,5]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[7,6,4,3,5,2,8,1]=>[1,8,2,5,3,4,6,7]=>[1,2,3,8,5,6,4,7]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[7,5,4,3,6,2,8,1]=>[1,8,2,6,3,4,5,7]=>[1,2,3,8,4,6,5,7]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[7,4,5,3,6,2,8,1]=>[1,8,2,6,3,5,4,7]=>[1,8,2,6,3,5,4,7]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,5,4,3,7,2,8,1]=>[1,8,2,7,3,4,5,6]=>[1,2,3,8,4,7,5,6]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[5,6,4,3,7,2,8,1]=>[1,8,2,7,3,4,6,5]=>[8,1,2,7,3,6,4,5]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]
[6,4,5,3,7,2,8,1]=>[1,8,2,7,3,5,4,6]=>[1,8,2,7,3,5,4,6]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,4,6,3,7,2,8,1]=>[1,8,2,7,3,6,4,5]=>[1,8,2,7,3,6,4,5]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,5,6,3,7,2,8,1]=>[1,8,2,7,3,6,5,4]=>[8,7,1,6,2,5,3,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[6,5,3,4,7,2,8,1]=>[1,8,2,7,4,3,5,6]=>[1,2,8,7,4,5,3,6]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[5,6,3,4,7,2,8,1]=>[1,8,2,7,4,3,6,5]=>[4,1,8,7,2,6,3,5]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[6,4,3,5,7,2,8,1]=>[1,8,2,7,5,3,4,6]=>[1,2,8,7,3,5,4,6]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[5,3,4,6,7,2,8,1]=>[1,8,2,7,6,4,3,5]=>[1,8,7,6,2,4,3,5]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[3,4,5,6,7,2,8,1]=>[1,8,2,7,6,5,4,3]=>[8,7,6,5,1,4,2,3]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[7,6,5,4,2,3,8,1]=>[1,8,3,2,4,5,6,7]=>[1,3,4,5,8,6,2,7]=>[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]
[6,7,5,4,2,3,8,1]=>[1,8,3,2,4,5,7,6]=>[3,1,2,4,8,7,5,6]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]
[6,7,4,5,2,3,8,1]=>[1,8,3,2,5,4,7,6]=>[3,1,5,2,8,7,4,6]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[6,4,5,7,2,3,8,1]=>[1,8,3,2,7,5,4,6]=>[1,8,3,2,7,5,4,6]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[5,4,6,7,2,3,8,1]=>[1,8,3,2,7,6,4,5]=>[1,8,3,2,7,6,4,5]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[4,5,6,7,2,3,8,1]=>[1,8,3,2,7,6,5,4]=>[8,7,3,1,6,5,2,4]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[7,6,5,3,2,4,8,1]=>[1,8,4,2,3,5,6,7]=>[1,2,4,5,8,6,3,7]=>[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]
[6,7,5,3,2,4,8,1]=>[1,8,4,2,3,5,7,6]=>[4,1,2,3,8,7,5,6]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]
[7,5,6,3,2,4,8,1]=>[1,8,4,2,3,6,5,7]=>[1,4,2,3,8,6,5,7]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[6,5,7,3,2,4,8,1]=>[1,8,4,2,3,7,5,6]=>[1,4,2,3,8,7,5,6]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[5,6,7,3,2,4,8,1]=>[1,8,4,2,3,7,6,5]=>[8,4,1,2,7,6,3,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[7,6,5,2,3,4,8,1]=>[1,8,4,3,2,5,6,7]=>[1,4,5,8,6,3,2,7]=>[.,[[[.,[.,[[.,.],.]]],.],[.,.]]]
[6,7,5,2,3,4,8,1]=>[1,8,4,3,2,5,7,6]=>[4,1,3,8,7,5,2,6]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]
[6,7,4,3,2,5,8,1]=>[1,8,5,2,3,4,7,6]=>[5,1,2,3,8,7,4,6]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]
[7,6,4,2,3,5,8,1]=>[1,8,5,3,2,4,6,7]=>[1,3,5,8,6,4,2,7]=>[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]
[7,6,2,3,4,5,8,1]=>[1,8,5,4,3,2,6,7]=>[1,5,8,6,4,3,2,7]=>[.,[[[[.,[[.,.],.]],.],.],[.,.]]]
[6,7,2,3,4,5,8,1]=>[1,8,5,4,3,2,7,6]=>[5,1,8,7,4,3,2,6]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[7,5,4,3,2,6,8,1]=>[1,8,6,2,3,4,5,7]=>[1,2,3,4,8,6,5,7]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]
[7,4,3,5,2,6,8,1]=>[1,8,6,2,5,3,4,7]=>[1,2,8,3,6,5,4,7]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
[7,5,4,2,3,6,8,1]=>[1,8,6,3,2,4,5,7]=>[1,3,4,8,6,5,2,7]=>[.,[[.,[.,[[[.,.],.],.]]],[.,.]]]
[7,4,5,2,3,6,8,1]=>[1,8,6,3,2,5,4,7]=>[1,3,2,8,6,5,4,7]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[7,3,2,4,5,6,8,1]=>[1,8,6,5,4,2,3,7]=>[1,2,8,6,5,4,3,7]=>[.,[.,[[[[[.,.],.],.],.],[.,.]]]]
[7,2,3,4,5,6,8,1]=>[1,8,6,5,4,3,2,7]=>[1,8,6,5,4,3,2,7]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[6,5,4,3,2,7,8,1]=>[1,8,7,2,3,4,5,6]=>[1,2,3,4,8,7,5,6]=>[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]
[6,4,5,3,2,7,8,1]=>[1,8,7,2,3,5,4,6]=>[1,8,2,3,7,5,4,6]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[5,4,6,3,2,7,8,1]=>[1,8,7,2,3,6,4,5]=>[1,8,2,3,7,6,4,5]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[4,5,6,3,2,7,8,1]=>[1,8,7,2,3,6,5,4]=>[8,7,1,2,6,5,3,4]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[6,4,3,5,2,7,8,1]=>[1,8,7,2,5,3,4,6]=>[1,2,8,3,7,5,4,6]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
[6,3,4,5,2,7,8,1]=>[1,8,7,2,5,4,3,6]=>[1,8,7,2,5,4,3,6]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[5,4,3,6,2,7,8,1]=>[1,8,7,2,6,3,4,5]=>[1,2,8,3,7,6,4,5]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
[4,3,5,6,2,7,8,1]=>[1,8,7,2,6,5,3,4]=>[1,8,7,2,6,5,3,4]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[3,4,5,6,2,7,8,1]=>[1,8,7,2,6,5,4,3]=>[8,7,6,1,5,4,2,3]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[6,5,4,2,3,7,8,1]=>[1,8,7,3,2,4,5,6]=>[1,3,4,8,7,5,2,6]=>[.,[[.,[.,[[[.,.],.],.]]],[.,.]]]
[5,6,4,2,3,7,8,1]=>[1,8,7,3,2,4,6,5]=>[3,1,2,8,7,6,4,5]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]
[6,4,5,2,3,7,8,1]=>[1,8,7,3,2,5,4,6]=>[1,3,2,8,7,5,4,6]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[5,4,6,2,3,7,8,1]=>[1,8,7,3,2,6,4,5]=>[1,3,2,8,7,6,4,5]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[6,5,3,2,4,7,8,1]=>[1,8,7,4,2,3,5,6]=>[1,2,4,8,7,5,3,6]=>[.,[.,[[.,[[[.,.],.],.]],[.,.]]]]
[6,5,2,3,4,7,8,1]=>[1,8,7,4,3,2,5,6]=>[1,4,8,7,5,3,2,6]=>[.,[[[.,[[[.,.],.],.]],.],[.,.]]]
[6,4,3,2,5,7,8,1]=>[1,8,7,5,2,3,4,6]=>[1,2,3,8,7,5,4,6]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]
[6,4,2,3,5,7,8,1]=>[1,8,7,5,3,2,4,6]=>[1,3,8,7,5,4,2,6]=>[.,[[.,[[[[.,.],.],.],.]],[.,.]]]
[6,2,3,4,5,7,8,1]=>[1,8,7,5,4,3,2,6]=>[1,8,7,5,4,3,2,6]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[5,4,3,2,6,7,8,1]=>[1,8,7,6,2,3,4,5]=>[1,2,3,8,7,6,4,5]=>[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]
[5,3,4,2,6,7,8,1]=>[1,8,7,6,2,4,3,5]=>[1,8,2,7,6,4,3,5]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[5,4,2,3,6,7,8,1]=>[1,8,7,6,3,2,4,5]=>[1,3,8,7,6,4,2,5]=>[.,[[.,[[[[.,.],.],.],.]],[.,.]]]
[4,5,2,3,6,7,8,1]=>[1,8,7,6,3,2,5,4]=>[3,1,8,7,6,5,2,4]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[5,3,2,4,6,7,8,1]=>[1,8,7,6,4,2,3,5]=>[1,2,8,7,6,4,3,5]=>[.,[.,[[[[[.,.],.],.],.],[.,.]]]]
[5,2,3,4,6,7,8,1]=>[1,8,7,6,4,3,2,5]=>[1,8,7,6,4,3,2,5]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[3,4,2,5,6,7,8,1]=>[1,8,7,6,5,2,4,3]=>[8,1,7,6,5,4,2,3]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[4,2,3,5,6,7,8,1]=>[1,8,7,6,5,3,2,4]=>[1,8,7,6,5,3,2,4]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[3,2,4,5,6,7,8,1]=>[1,8,7,6,5,4,2,3]=>[1,8,7,6,5,4,2,3]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2]=>[8,7,6,5,4,3,1,2]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]
[8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6,8]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[7,6,8,5,4,3,1,2]=>[2,1,3,4,5,8,6,7]=>[2,3,1,4,5,6,8,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[6,7,8,5,4,3,1,2]=>[2,1,3,4,5,8,7,6]=>[8,2,1,3,4,5,7,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[8,7,5,6,4,3,1,2]=>[2,1,3,4,6,5,7,8]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[7,8,5,6,4,3,1,2]=>[2,1,3,4,6,5,8,7]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[8,6,5,7,4,3,1,2]=>[2,1,3,4,7,5,6,8]=>[2,3,4,1,5,7,8,6]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[7,6,5,8,4,3,1,2]=>[2,1,3,4,8,5,6,7]=>[2,3,4,1,5,6,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[6,7,5,8,4,3,1,2]=>[2,1,3,4,8,5,7,6]=>[8,2,3,1,4,5,7,6]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[7,5,6,8,4,3,1,2]=>[2,1,3,4,8,6,5,7]=>[2,8,3,1,4,6,7,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[6,5,7,8,4,3,1,2]=>[2,1,3,4,8,7,5,6]=>[2,8,3,1,4,5,7,6]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[5,6,7,8,4,3,1,2]=>[2,1,3,4,8,7,6,5]=>[8,7,2,1,3,4,6,5]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[8,7,5,4,6,3,1,2]=>[2,1,3,6,4,5,7,8]=>[2,3,4,6,1,7,8,5]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[7,8,5,4,6,3,1,2]=>[2,1,3,6,4,5,8,7]=>[2,1,3,6,4,5,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[7,6,5,4,8,3,1,2]=>[2,1,3,8,4,5,6,7]=>[2,3,4,5,1,6,8,7]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[6,7,5,4,8,3,1,2]=>[2,1,3,8,4,5,7,6]=>[8,2,3,4,1,5,7,6]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[7,5,6,4,8,3,1,2]=>[2,1,3,8,4,6,5,7]=>[2,8,3,4,1,6,7,5]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[6,5,7,4,8,3,1,2]=>[2,1,3,8,4,7,5,6]=>[2,8,3,4,1,5,7,6]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[7,6,4,5,8,3,1,2]=>[2,1,3,8,5,4,6,7]=>[2,3,8,5,1,6,7,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[6,7,4,5,8,3,1,2]=>[2,1,3,8,5,4,7,6]=>[2,1,8,5,3,4,7,6]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[7,5,4,6,8,3,1,2]=>[2,1,3,8,6,4,5,7]=>[2,3,8,4,1,6,7,5]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[7,4,5,6,8,3,1,2]=>[2,1,3,8,6,5,4,7]=>[2,8,6,3,1,5,7,4]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]
[6,5,4,7,8,3,1,2]=>[2,1,3,8,7,4,5,6]=>[2,3,8,4,1,5,7,6]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]
[5,4,6,7,8,3,1,2]=>[2,1,3,8,7,6,4,5]=>[2,8,7,3,1,4,6,5]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[8,7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7,8]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[7,8,6,5,3,4,1,2]=>[2,1,4,3,5,6,8,7]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[7,6,8,5,3,4,1,2]=>[2,1,4,3,5,8,6,7]=>[2,4,1,5,6,3,8,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[8,7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7,8]=>[2,4,6,1,7,3,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[7,6,5,8,3,4,1,2]=>[2,1,4,3,8,5,6,7]=>[2,4,5,1,6,3,8,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[6,7,5,8,3,4,1,2]=>[2,1,4,3,8,5,7,6]=>[8,2,4,1,5,3,7,6]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[7,5,6,8,3,4,1,2]=>[2,1,4,3,8,6,5,7]=>[2,8,4,1,6,3,7,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[6,5,7,8,3,4,1,2]=>[2,1,4,3,8,7,5,6]=>[2,8,4,1,5,3,7,6]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[5,6,7,8,3,4,1,2]=>[2,1,4,3,8,7,6,5]=>[8,7,2,1,4,3,6,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[7,8,6,4,3,5,1,2]=>[2,1,5,3,4,6,8,7]=>[2,1,3,5,6,4,8,7]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]
[8,6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6,8]=>[2,5,1,7,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]=>[2,1,3,4,6,5,8,7]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]
[7,8,4,5,3,6,1,2]=>[2,1,6,3,5,4,8,7]=>[2,1,6,3,5,4,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[7,8,5,3,4,6,1,2]=>[2,1,6,4,3,5,8,7]=>[2,1,4,6,5,3,8,7]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]
[7,8,4,3,5,6,1,2]=>[2,1,6,5,3,4,8,7]=>[2,1,3,6,5,4,8,7]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]
[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[8,6,5,4,3,7,1,2]=>[2,1,7,3,4,5,6,8]=>[2,3,4,5,7,1,8,6]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[8,5,4,6,3,7,1,2]=>[2,1,7,3,6,4,5,8]=>[2,3,7,4,6,1,8,5]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[8,5,4,3,6,7,1,2]=>[2,1,7,6,3,4,5,8]=>[2,3,4,7,6,1,8,5]=>[[.,[.,[.,[[.,.],.]]]],[[.,.],.]]
[8,4,3,5,6,7,1,2]=>[2,1,7,6,5,3,4,8]=>[2,3,7,6,5,1,8,4]=>[[.,[.,[[[.,.],.],.]]],[[.,.],.]]
[7,6,5,4,3,8,1,2]=>[2,1,8,3,4,5,6,7]=>[2,3,4,5,6,1,8,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[5,6,7,4,3,8,1,2]=>[2,1,8,3,4,7,6,5]=>[8,7,2,3,4,1,6,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[6,7,4,5,3,8,1,2]=>[2,1,8,3,5,4,7,6]=>[2,1,8,3,5,4,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,6,4,7,3,8,1,2]=>[2,1,8,3,7,4,6,5]=>[8,2,7,3,4,1,6,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[5,4,6,7,3,8,1,2]=>[2,1,8,3,7,6,4,5]=>[2,8,7,3,4,1,6,5]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[6,7,5,3,4,8,1,2]=>[2,1,8,4,3,5,7,6]=>[2,1,4,8,5,3,7,6]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]
[7,5,6,3,4,8,1,2]=>[2,1,8,4,3,6,5,7]=>[2,4,1,8,6,3,7,5]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[6,5,7,3,4,8,1,2]=>[2,1,8,4,3,7,5,6]=>[2,4,1,8,5,3,7,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[5,6,7,3,4,8,1,2]=>[2,1,8,4,3,7,6,5]=>[8,2,1,7,4,3,6,5]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[7,6,4,3,5,8,1,2]=>[2,1,8,5,3,4,6,7]=>[2,3,5,8,6,1,7,4]=>[[.,[.,[.,[[.,.],.]]]],[[.,.],.]]
[6,7,4,3,5,8,1,2]=>[2,1,8,5,3,4,7,6]=>[2,1,3,8,5,4,7,6]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]
[7,6,3,4,5,8,1,2]=>[2,1,8,5,4,3,6,7]=>[2,5,8,6,4,1,7,3]=>[[.,[[.,[[.,.],.]],.]],[[.,.],.]]
[6,7,3,4,5,8,1,2]=>[2,1,8,5,4,3,7,6]=>[2,1,8,5,4,3,7,6]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[7,5,3,4,6,8,1,2]=>[2,1,8,6,4,3,5,7]=>[2,4,8,6,5,1,7,3]=>[[.,[.,[[[.,.],.],.]]],[[.,.],.]]
[6,5,4,3,7,8,1,2]=>[2,1,8,7,3,4,5,6]=>[2,3,4,8,5,1,7,6]=>[[.,[.,[.,[[.,.],.]]]],[[.,.],.]]
[5,6,4,3,7,8,1,2]=>[2,1,8,7,3,4,6,5]=>[8,2,3,7,4,1,6,5]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]
[6,4,5,3,7,8,1,2]=>[2,1,8,7,3,5,4,6]=>[2,8,3,7,5,1,6,4]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]
[5,4,6,3,7,8,1,2]=>[2,1,8,7,3,6,4,5]=>[2,8,3,7,4,1,6,5]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]
[5,6,3,4,7,8,1,2]=>[2,1,8,7,4,3,6,5]=>[2,1,8,7,4,3,6,5]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[6,4,3,5,7,8,1,2]=>[2,1,8,7,5,3,4,6]=>[2,3,8,7,5,1,6,4]=>[[.,[.,[[[.,.],.],.]]],[[.,.],.]]
[6,3,4,5,7,8,1,2]=>[2,1,8,7,5,4,3,6]=>[2,8,7,5,4,1,6,3]=>[[.,[[[[.,.],.],.],.]],[[.,.],.]]
[5,4,3,6,7,8,1,2]=>[2,1,8,7,6,3,4,5]=>[2,3,8,7,4,1,6,5]=>[[.,[.,[[[.,.],.],.]]],[[.,.],.]]
[4,3,5,6,7,8,1,2]=>[2,1,8,7,6,5,3,4]=>[2,8,7,6,3,1,5,4]=>[[.,[[[[.,.],.],.],.]],[[.,.],.]]
[3,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,3]=>[8,7,6,5,2,1,4,3]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8]=>[1,3,4,5,6,7,8,2]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]
[7,8,6,5,4,2,1,3]=>[3,1,2,4,5,6,8,7]=>[3,1,2,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,6,7,5,4,2,1,3]=>[3,1,2,4,5,7,6,8]=>[1,3,2,4,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[1,3,2,4,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[7,8,5,6,4,2,1,3]=>[3,1,2,4,6,5,8,7]=>[3,1,6,2,4,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[8,6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6,8]=>[1,3,4,2,5,7,8,6]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[7,6,5,8,4,2,1,3]=>[3,1,2,4,8,5,6,7]=>[1,3,4,2,5,6,8,7]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[6,7,5,8,4,2,1,3]=>[3,1,2,4,8,5,7,6]=>[8,1,3,2,4,5,7,6]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[6,5,7,8,4,2,1,3]=>[3,1,2,4,8,7,5,6]=>[1,8,3,2,4,5,7,6]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]
[5,6,7,8,4,2,1,3]=>[3,1,2,4,8,7,6,5]=>[8,7,3,1,2,4,6,5]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[7,8,6,4,5,2,1,3]=>[3,1,2,5,4,6,8,7]=>[3,1,2,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[8,6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6,8]=>[1,3,2,5,4,7,8,6]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
[7,8,5,4,6,2,1,3]=>[3,1,2,6,4,5,8,7]=>[3,1,2,6,4,5,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[8,6,5,4,7,2,1,3]=>[3,1,2,7,4,5,6,8]=>[1,3,4,5,2,7,8,6]=>[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]
[8,6,4,5,7,2,1,3]=>[3,1,2,7,5,4,6,8]=>[1,3,7,5,2,6,8,4]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]
[8,5,4,6,7,2,1,3]=>[3,1,2,7,6,4,5,8]=>[1,3,7,4,2,6,8,5]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]
[7,5,4,6,8,2,1,3]=>[3,1,2,8,6,4,5,7]=>[1,3,8,4,2,6,7,5]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]
[7,4,5,6,8,2,1,3]=>[3,1,2,8,6,5,4,7]=>[1,8,6,3,2,5,7,4]=>[.,[[[[.,.],.],.],[[.,[.,.]],.]]]
[6,5,4,7,8,2,1,3]=>[3,1,2,8,7,4,5,6]=>[1,3,8,4,2,5,7,6]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]
[6,4,5,7,8,2,1,3]=>[3,1,2,8,7,5,4,6]=>[1,8,7,3,2,5,6,4]=>[.,[[[[.,.],.],.],[[.,[.,.]],.]]]
[5,4,6,7,8,2,1,3]=>[3,1,2,8,7,6,4,5]=>[1,8,7,3,2,4,6,5]=>[.,[[[[.,.],.],.],[.,[[.,.],.]]]]
[8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,8,6,5,4,1,2,3]=>[3,2,1,4,5,6,8,7]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[7,6,8,5,4,1,2,3]=>[3,2,1,4,5,8,6,7]=>[3,4,2,5,6,8,7,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[8,5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5,8]=>[3,4,2,1,7,8,6,5]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]
[6,7,5,8,4,1,2,3]=>[3,2,1,4,8,5,7,6]=>[3,2,4,1,5,8,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[7,5,6,8,4,1,2,3]=>[3,2,1,4,8,6,5,7]=>[3,4,2,1,6,8,7,5]=>[[[.,[.,.]],.],[[.,[[.,.],.]],.]]
[5,6,7,8,4,1,2,3]=>[3,2,1,4,8,7,6,5]=>[8,3,2,1,4,7,6,5]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]
[8,6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6,8]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[8,7,5,4,6,1,2,3]=>[3,2,1,6,4,5,7,8]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,7,4,5,6,1,2,3]=>[3,2,1,6,5,4,7,8]=>[3,6,7,2,1,8,5,4]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[8,6,5,4,7,1,2,3]=>[3,2,1,7,4,5,6,8]=>[3,4,5,7,2,8,6,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,6,4,5,7,1,2,3]=>[3,2,1,7,5,4,6,8]=>[3,5,7,2,1,8,6,4]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[8,5,4,6,7,1,2,3]=>[3,2,1,7,6,4,5,8]=>[3,4,7,2,1,8,6,5]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[8,4,5,6,7,1,2,3]=>[3,2,1,7,6,5,4,8]=>[3,7,6,2,1,8,5,4]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]
[6,7,5,4,8,1,2,3]=>[3,2,1,8,4,5,7,6]=>[3,2,4,5,1,8,7,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[6,5,7,4,8,1,2,3]=>[3,2,1,8,4,7,5,6]=>[3,4,2,5,1,8,7,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[5,6,7,4,8,1,2,3]=>[3,2,1,8,4,7,6,5]=>[8,3,2,4,1,7,6,5]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[7,6,4,5,8,1,2,3]=>[3,2,1,8,5,4,6,7]=>[3,5,6,2,1,8,7,4]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[6,7,4,5,8,1,2,3]=>[3,2,1,8,5,4,7,6]=>[3,2,5,4,1,8,7,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[7,5,4,6,8,1,2,3]=>[3,2,1,8,6,4,5,7]=>[3,4,6,2,1,8,7,5]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[6,5,4,7,8,1,2,3]=>[3,2,1,8,7,4,5,6]=>[3,4,5,2,1,8,7,6]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[5,4,6,7,8,1,2,3]=>[3,2,1,8,7,6,4,5]=>[3,8,4,2,1,7,6,5]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]
[4,5,6,7,8,1,2,3]=>[3,2,1,8,7,6,5,4]=>[8,7,3,2,1,6,5,4]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[8,7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7,8]=>[1,2,4,5,6,7,8,3]=>[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]
[7,8,6,5,3,2,1,4]=>[4,1,2,3,5,6,8,7]=>[4,1,2,3,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,6,7,5,3,2,1,4]=>[4,1,2,3,5,7,6,8]=>[1,4,2,3,5,7,8,6]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[7,6,8,5,3,2,1,4]=>[4,1,2,3,5,8,6,7]=>[1,4,2,3,5,6,8,7]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[8,7,5,6,3,2,1,4]=>[4,1,2,3,6,5,7,8]=>[1,2,4,3,6,7,8,5]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[7,8,5,6,3,2,1,4]=>[4,1,2,3,6,5,8,7]=>[4,1,6,2,3,5,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[8,6,5,7,3,2,1,4]=>[4,1,2,3,7,5,6,8]=>[1,2,4,3,5,7,8,6]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]
[8,5,6,7,3,2,1,4]=>[4,1,2,3,7,6,5,8]=>[1,7,4,2,3,6,8,5]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]
[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[1,2,4,3,5,6,8,7]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[6,7,5,8,3,2,1,4]=>[4,1,2,3,8,5,7,6]=>[8,1,4,2,3,5,7,6]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[7,5,6,8,3,2,1,4]=>[4,1,2,3,8,6,5,7]=>[1,8,4,2,3,6,7,5]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]
[6,5,7,8,3,2,1,4]=>[4,1,2,3,8,7,5,6]=>[1,8,4,2,3,5,7,6]=>[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]
[5,6,7,8,3,2,1,4]=>[4,1,2,3,8,7,6,5]=>[8,7,4,1,2,3,6,5]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[8,7,6,5,2,3,1,4]=>[4,1,3,2,5,6,7,8]=>[1,4,5,6,7,3,8,2]=>[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]
[7,8,5,6,2,3,1,4]=>[4,1,3,2,6,5,8,7]=>[4,1,6,3,8,5,7,2]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]
[6,7,5,8,2,3,1,4]=>[4,1,3,2,8,5,7,6]=>[4,1,3,2,8,5,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[7,5,6,8,2,3,1,4]=>[4,1,3,2,8,6,5,7]=>[1,4,3,2,8,6,7,5]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]
[5,6,7,8,2,3,1,4]=>[4,1,3,2,8,7,6,5]=>[8,4,3,1,7,2,6,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[8,7,6,5,3,1,2,4]=>[4,2,1,3,5,6,7,8]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[7,8,6,5,3,1,2,4]=>[4,2,1,3,5,6,8,7]=>[4,2,3,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[7,6,8,5,3,1,2,4]=>[4,2,1,3,5,8,6,7]=>[2,4,3,5,6,8,7,1]=>[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
[6,7,8,5,3,1,2,4]=>[4,2,1,3,5,8,7,6]=>[4,2,1,3,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[8,7,5,6,3,1,2,4]=>[4,2,1,3,6,5,7,8]=>[2,4,6,3,7,8,5,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[7,8,5,6,3,1,2,4]=>[4,2,1,3,6,5,8,7]=>[4,2,6,3,5,8,7,1]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]
[8,6,5,7,3,1,2,4]=>[4,2,1,3,7,5,6,8]=>[2,4,5,3,7,8,6,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[8,5,6,7,3,1,2,4]=>[4,2,1,3,7,6,5,8]=>[2,4,3,1,7,8,6,5]=>[[.,[[.,.],.]],[[[.,[.,.]],.],.]]
[7,6,5,8,3,1,2,4]=>[4,2,1,3,8,5,6,7]=>[2,4,5,3,6,8,7,1]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[6,7,5,8,3,1,2,4]=>[4,2,1,3,8,5,7,6]=>[4,2,3,1,5,8,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[7,5,6,8,3,1,2,4]=>[4,2,1,3,8,6,5,7]=>[2,4,3,1,6,8,7,5]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]
[6,5,7,8,3,1,2,4]=>[4,2,1,3,8,7,5,6]=>[2,4,3,1,5,8,7,6]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]
[5,6,7,8,3,1,2,4]=>[4,2,1,3,8,7,6,5]=>[8,4,2,1,3,7,6,5]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]
[8,7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7,8]=>[1,4,5,6,7,8,3,2]=>[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]
[7,8,6,5,2,1,3,4]=>[4,3,1,2,5,6,8,7]=>[4,1,3,5,6,8,7,2]=>[[.,.],[[.,[.,[.,[[.,.],.]]]],.]]
[8,6,7,5,2,1,3,4]=>[4,3,1,2,5,7,6,8]=>[1,4,3,5,7,8,6,2]=>[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]
[7,8,5,6,2,1,3,4]=>[4,3,1,2,6,5,8,7]=>[4,1,6,3,5,8,7,2]=>[[.,.],[[[.,.],[.,[[.,.],.]]],.]]
[7,6,5,8,2,1,3,4]=>[4,3,1,2,8,5,6,7]=>[1,4,5,3,6,8,7,2]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[7,5,6,8,2,1,3,4]=>[4,3,1,2,8,6,5,7]=>[1,4,3,2,6,8,7,5]=>[.,[[[.,.],.],[[.,[[.,.],.]],.]]]
[6,5,7,8,2,1,3,4]=>[4,3,1,2,8,7,5,6]=>[1,4,3,2,5,8,7,6]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]]
[5,6,7,8,2,1,3,4]=>[4,3,1,2,8,7,6,5]=>[8,4,3,1,2,7,6,5]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]
[8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[7,8,6,5,1,2,3,4]=>[4,3,2,1,5,6,8,7]=>[4,3,5,6,8,7,2,1]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[8,6,7,5,1,2,3,4]=>[4,3,2,1,5,7,6,8]=>[4,5,3,7,8,6,2,1]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]
[7,6,8,5,1,2,3,4]=>[4,3,2,1,5,8,6,7]=>[4,5,3,6,8,7,2,1]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[6,7,8,5,1,2,3,4]=>[4,3,2,1,5,8,7,6]=>[4,3,2,5,8,7,6,1]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]
[8,7,5,6,1,2,3,4]=>[4,3,2,1,6,5,7,8]=>[4,6,7,3,8,5,2,1]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]
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[7,8,4,3,5,1,2,6]=>[6,2,1,5,3,4,8,7]=>[2,1,3,6,5,8,7,4]=>[[.,.],[.,[[[.,.],[[.,.],.]],.]]]
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[8,7,5,3,2,1,4,6]=>[6,4,1,2,3,5,7,8]=>[1,2,4,6,7,8,5,3]=>[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]
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[8,5,3,4,6,2,1,7]=>[7,1,2,6,4,3,5,8]=>[1,2,7,6,4,5,8,3]=>[.,[.,[[[[.,.],.],[.,[.,.]]],.]]]
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[8,6,3,2,4,5,1,7]=>[7,1,5,4,2,3,6,8]=>[1,2,5,7,6,4,8,3]=>[.,[.,[[[.,[[.,.],.]],[.,.]],.]]]
[8,5,4,3,2,6,1,7]=>[7,1,6,2,3,4,5,8]=>[1,2,3,4,7,6,8,5]=>[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]
[8,4,3,5,2,6,1,7]=>[7,1,6,2,5,3,4,8]=>[1,2,7,3,6,5,8,4]=>[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]
[8,3,4,5,2,6,1,7]=>[7,1,6,2,5,4,3,8]=>[1,7,6,2,5,4,8,3]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]
[8,4,5,2,3,6,1,7]=>[7,1,6,3,2,5,4,8]=>[1,3,2,7,6,5,8,4]=>[.,[[.,.],[[[[.,.],.],[.,.]],.]]]
[8,5,3,2,4,6,1,7]=>[7,1,6,4,2,3,5,8]=>[1,2,4,7,6,5,8,3]=>[.,[.,[[.,[[[.,.],.],[.,.]]],.]]]
[8,3,2,4,5,6,1,7]=>[7,1,6,5,4,2,3,8]=>[1,2,7,6,5,4,8,3]=>[.,[.,[[[[[.,.],.],.],[.,.]],.]]]
[8,2,3,4,5,6,1,7]=>[7,1,6,5,4,3,2,8]=>[1,7,6,5,4,3,8,2]=>[.,[[[[[[.,.],.],.],.],[.,.]],.]]
[8,6,5,4,3,1,2,7]=>[7,2,1,3,4,5,6,8]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[8,5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5,8]=>[2,4,1,7,3,8,6,5]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[8,4,3,5,6,1,2,7]=>[7,2,1,6,5,3,4,8]=>[2,3,7,6,1,8,5,4]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]
[8,3,4,5,6,1,2,7]=>[7,2,1,6,5,4,3,8]=>[2,7,6,5,1,8,4,3]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]
[8,6,5,4,2,1,3,7]=>[7,3,1,2,4,5,6,8]=>[1,3,4,5,7,8,6,2]=>[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]
[8,5,4,6,2,1,3,7]=>[7,3,1,2,6,4,5,8]=>[1,3,4,2,7,8,6,5]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
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[8,5,6,4,1,2,3,7]=>[7,3,2,1,4,6,5,8]=>[3,4,2,7,8,6,5,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[8,6,4,5,1,2,3,7]=>[7,3,2,1,5,4,6,8]=>[3,5,7,2,8,6,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[8,6,5,3,2,1,4,7]=>[7,4,1,2,3,5,6,8]=>[1,2,4,5,7,8,6,3]=>[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]
[8,5,6,2,3,1,4,7]=>[7,4,1,3,2,6,5,8]=>[1,4,3,7,6,8,5,2]=>[.,[[[.,.],[[[.,.],[.,.]],.]],.]]
[8,5,6,2,1,3,4,7]=>[7,4,3,1,2,6,5,8]=>[1,4,3,7,8,6,5,2]=>[.,[[[.,.],[[[.,[.,.]],.],.]],.]]
[8,5,6,1,2,3,4,7]=>[7,4,3,2,1,6,5,8]=>[4,7,3,8,6,5,2,1]=>[[[[.,[.,.]],[[[.,.],.],.]],.],.]
[8,6,4,3,2,1,5,7]=>[7,5,1,2,3,4,6,8]=>[1,2,3,5,7,8,6,4]=>[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]
[8,6,3,4,2,1,5,7]=>[7,5,1,2,4,3,6,8]=>[1,2,7,5,6,8,4,3]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[8,6,3,2,4,1,5,7]=>[7,5,1,4,2,3,6,8]=>[1,2,5,7,6,8,4,3]=>[.,[.,[[[.,[[.,.],[.,.]]],.],.]]]
[8,6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6,8]=>[1,3,5,7,8,6,4,2]=>[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]
[8,6,4,1,2,3,5,7]=>[7,5,3,2,1,4,6,8]=>[3,5,7,8,6,4,2,1]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[8,6,2,3,1,4,5,7]=>[7,5,4,1,3,2,6,8]=>[1,5,7,6,8,4,3,2]=>[.,[[[[.,[[.,.],[.,.]]],.],.],.]]
[8,6,1,2,3,4,5,7]=>[7,5,4,3,2,1,6,8]=>[5,7,8,6,4,3,2,1]=>[[[[[.,[[.,[.,.]],.]],.],.],.],.]
[8,5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5,8]=>[1,2,3,4,7,8,6,5]=>[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]
[8,3,4,5,2,1,6,7]=>[7,6,1,2,5,4,3,8]=>[1,7,6,2,5,8,4,3]=>[.,[[[.,.],.],[[[.,[.,.]],.],.]]]
[8,5,2,3,4,1,6,7]=>[7,6,1,4,3,2,5,8]=>[1,4,7,6,5,8,3,2]=>[.,[[[.,[[[.,.],.],[.,.]]],.],.]]
[8,3,4,5,1,2,6,7]=>[7,6,2,1,5,4,3,8]=>[2,7,6,1,8,5,4,3]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[8,4,5,1,2,3,6,7]=>[7,6,3,2,1,5,4,8]=>[3,7,2,8,6,5,4,1]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]
[8,5,3,1,2,4,6,7]=>[7,6,4,2,1,3,5,8]=>[2,4,7,8,6,5,3,1]=>[[.,[[.,[[[.,[.,.]],.],.]],.]],.]
[8,5,2,1,3,4,6,7]=>[7,6,4,3,1,2,5,8]=>[1,4,7,8,6,5,3,2]=>[.,[[[.,[[[.,[.,.]],.],.]],.],.]]
[8,5,1,2,3,4,6,7]=>[7,6,4,3,2,1,5,8]=>[4,7,8,6,5,3,2,1]=>[[[[.,[[[.,[.,.]],.],.]],.],.],.]
[8,4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4,8]=>[1,2,3,7,8,6,5,4]=>[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]
[8,3,4,2,1,5,6,7]=>[7,6,5,1,2,4,3,8]=>[1,7,2,6,8,5,4,3]=>[.,[[.,.],[[[[.,[.,.]],.],.],.]]]
[8,2,3,4,1,5,6,7]=>[7,6,5,1,4,3,2,8]=>[1,7,6,5,8,4,3,2]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[8,3,4,1,2,5,6,7]=>[7,6,5,2,1,4,3,8]=>[2,7,1,8,6,5,4,3]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[8,4,1,2,3,5,6,7]=>[7,6,5,3,2,1,4,8]=>[3,7,8,6,5,4,2,1]=>[[[.,[[[[.,[.,.]],.],.],.]],.],.]
[8,3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3,8]=>[1,2,7,8,6,5,4,3]=>[.,[.,[[[[[.,[.,.]],.],.],.],.]]]
[8,2,3,1,4,5,6,7]=>[7,6,5,4,1,3,2,8]=>[1,7,6,8,5,4,3,2]=>[.,[[[[[[.,.],[.,.]],.],.],.],.]]
[8,3,1,2,4,5,6,7]=>[7,6,5,4,2,1,3,8]=>[2,7,8,6,5,4,3,1]=>[[.,[[[[[.,[.,.]],.],.],.],.]],.]
[8,2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2,8]=>[1,7,8,6,5,4,3,2]=>[.,[[[[[[.,[.,.]],.],.],.],.],.]]
[8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8]=>[7,8,6,5,4,3,2,1]=>[[[[[[[.,[.,.]],.],.],.],.],.],.]
[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,7]=>[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]
[6,7,5,4,3,2,1,8]=>[8,1,2,3,4,5,7,6]=>[8,1,2,3,4,5,7,6]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[7,5,6,4,3,2,1,8]=>[8,1,2,3,4,6,5,7]=>[1,8,2,3,4,6,7,5]=>[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]
[6,5,7,4,3,2,1,8]=>[8,1,2,3,4,7,5,6]=>[1,8,2,3,4,5,7,6]=>[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]
[5,6,7,4,3,2,1,8]=>[8,1,2,3,4,7,6,5]=>[8,7,1,2,3,4,6,5]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[7,6,4,5,3,2,1,8]=>[8,1,2,3,5,4,6,7]=>[1,2,8,3,5,6,7,4]=>[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]
[6,7,4,5,3,2,1,8]=>[8,1,2,3,5,4,7,6]=>[5,1,8,2,3,4,7,6]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[7,5,4,6,3,2,1,8]=>[8,1,2,3,6,4,5,7]=>[1,2,8,3,4,6,7,5]=>[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]
[6,5,4,7,3,2,1,8]=>[8,1,2,3,7,4,5,6]=>[1,2,8,3,4,5,7,6]=>[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]
[6,4,5,7,3,2,1,8]=>[8,1,2,3,7,5,4,6]=>[1,8,7,2,3,5,6,4]=>[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]
[4,5,6,7,3,2,1,8]=>[8,1,2,3,7,6,5,4]=>[8,7,6,1,2,3,5,4]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[7,6,5,3,4,2,1,8]=>[8,1,2,4,3,5,6,7]=>[1,2,4,8,5,6,7,3]=>[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]
[5,6,7,3,4,2,1,8]=>[8,1,2,4,3,7,6,5]=>[8,4,1,7,2,3,6,5]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[7,6,4,3,5,2,1,8]=>[8,1,2,5,3,4,6,7]=>[1,2,3,8,5,6,7,4]=>[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]
[7,6,3,4,5,2,1,8]=>[8,1,2,5,4,3,6,7]=>[1,2,8,5,4,6,7,3]=>[.,[.,[[[[.,.],.],[.,[.,.]]],.]]]
[7,5,4,3,6,2,1,8]=>[8,1,2,6,3,4,5,7]=>[1,2,3,8,4,6,7,5]=>[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]
[7,4,3,5,6,2,1,8]=>[8,1,2,6,5,3,4,7]=>[1,2,8,6,3,5,7,4]=>[.,[.,[[[.,.],.],[[.,[.,.]],.]]]]
[7,3,4,5,6,2,1,8]=>[8,1,2,6,5,4,3,7]=>[1,8,6,5,2,4,7,3]=>[.,[[[[.,.],.],.],[[.,[.,.]],.]]]
[6,5,4,3,7,2,1,8]=>[8,1,2,7,3,4,5,6]=>[1,2,3,8,4,5,7,6]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]
[5,6,4,3,7,2,1,8]=>[8,1,2,7,3,4,6,5]=>[8,1,2,7,3,4,6,5]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[6,4,5,3,7,2,1,8]=>[8,1,2,7,3,5,4,6]=>[1,8,2,7,3,5,6,4]=>[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]
[5,4,6,3,7,2,1,8]=>[8,1,2,7,3,6,4,5]=>[1,8,2,7,3,4,6,5]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]
[4,5,6,3,7,2,1,8]=>[8,1,2,7,3,6,5,4]=>[8,7,1,6,2,3,5,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[5,6,3,4,7,2,1,8]=>[8,1,2,7,4,3,6,5]=>[4,1,8,7,2,3,6,5]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[6,3,4,5,7,2,1,8]=>[8,1,2,7,5,4,3,6]=>[1,8,7,5,2,4,6,3]=>[.,[[[[.,.],.],.],[[.,[.,.]],.]]]
[5,4,3,6,7,2,1,8]=>[8,1,2,7,6,3,4,5]=>[1,2,8,7,3,4,6,5]=>[.,[.,[[[.,.],.],[.,[[.,.],.]]]]]
[3,4,5,6,7,2,1,8]=>[8,1,2,7,6,5,4,3]=>[8,7,6,5,1,2,4,3]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]
[7,6,5,4,2,3,1,8]=>[8,1,3,2,4,5,6,7]=>[1,3,4,5,8,6,7,2]=>[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]
[6,7,5,4,2,3,1,8]=>[8,1,3,2,4,5,7,6]=>[3,1,2,4,8,5,7,6]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]
[6,7,4,5,2,3,1,8]=>[8,1,3,2,5,4,7,6]=>[3,1,5,2,8,4,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,6,4,7,2,3,1,8]=>[8,1,3,2,7,4,6,5]=>[8,1,3,2,7,4,6,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[6,4,5,7,2,3,1,8]=>[8,1,3,2,7,5,4,6]=>[1,8,3,2,7,5,6,4]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]
[4,5,6,7,2,3,1,8]=>[8,1,3,2,7,6,5,4]=>[8,7,3,1,6,2,5,4]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[7,6,5,3,2,4,1,8]=>[8,1,4,2,3,5,6,7]=>[1,2,4,5,8,6,7,3]=>[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]
[6,7,5,3,2,4,1,8]=>[8,1,4,2,3,5,7,6]=>[4,1,2,3,8,5,7,6]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]
[6,5,7,3,2,4,1,8]=>[8,1,4,2,3,7,5,6]=>[1,4,2,3,8,5,7,6]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[5,6,7,3,2,4,1,8]=>[8,1,4,2,3,7,6,5]=>[8,4,1,2,7,3,6,5]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[6,7,5,2,3,4,1,8]=>[8,1,4,3,2,5,7,6]=>[4,1,3,8,7,5,6,2]=>[[.,.],[[.,[[[.,.],.],[.,.]]],.]]
[7,5,6,2,3,4,1,8]=>[8,1,4,3,2,6,5,7]=>[1,4,3,8,6,5,7,2]=>[.,[[[.,.],[[[.,.],.],[.,.]]],.]]
[6,5,7,2,3,4,1,8]=>[8,1,4,3,2,7,5,6]=>[1,4,3,8,7,5,6,2]=>[.,[[[.,.],[[[.,.],.],[.,.]]],.]]
[7,6,4,3,2,5,1,8]=>[8,1,5,2,3,4,6,7]=>[1,2,3,5,8,6,7,4]=>[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]
[6,7,3,4,2,5,1,8]=>[8,1,5,2,4,3,7,6]=>[5,1,8,2,7,4,6,3]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]
[7,6,4,2,3,5,1,8]=>[8,1,5,3,2,4,6,7]=>[1,3,5,8,6,4,7,2]=>[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]
[7,6,2,3,4,5,1,8]=>[8,1,5,4,3,2,6,7]=>[1,5,8,6,4,3,7,2]=>[.,[[[[.,[[.,.],.]],.],[.,.]],.]]
[6,7,2,3,4,5,1,8]=>[8,1,5,4,3,2,7,6]=>[5,1,8,7,4,3,6,2]=>[[.,.],[[[[[.,.],.],.],[.,.]],.]]
[7,5,4,3,2,6,1,8]=>[8,1,6,2,3,4,5,7]=>[1,2,3,4,8,6,7,5]=>[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]
[7,4,3,5,2,6,1,8]=>[8,1,6,2,5,3,4,7]=>[1,2,8,3,6,5,7,4]=>[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]
[7,4,5,2,3,6,1,8]=>[8,1,6,3,2,5,4,7]=>[1,3,2,8,6,5,7,4]=>[.,[[.,.],[[[[.,.],.],[.,.]],.]]]
[7,5,3,2,4,6,1,8]=>[8,1,6,4,2,3,5,7]=>[1,2,4,8,6,5,7,3]=>[.,[.,[[.,[[[.,.],.],[.,.]]],.]]]
[7,4,3,2,5,6,1,8]=>[8,1,6,5,2,3,4,7]=>[1,2,3,8,6,5,7,4]=>[.,[.,[.,[[[[.,.],.],[.,.]],.]]]]
[7,2,3,4,5,6,1,8]=>[8,1,6,5,4,3,2,7]=>[1,8,6,5,4,3,7,2]=>[.,[[[[[[.,.],.],.],.],[.,.]],.]]
[6,5,4,3,2,7,1,8]=>[8,1,7,2,3,4,5,6]=>[1,2,3,4,8,5,7,6]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[5,6,3,4,2,7,1,8]=>[8,1,7,2,4,3,6,5]=>[4,1,8,2,7,3,6,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[6,3,4,5,2,7,1,8]=>[8,1,7,2,5,4,3,6]=>[1,8,7,2,5,4,6,3]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]
[5,4,3,6,2,7,1,8]=>[8,1,7,2,6,3,4,5]=>[1,2,8,3,7,4,6,5]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[4,5,3,6,2,7,1,8]=>[8,1,7,2,6,3,5,4]=>[8,1,7,2,6,3,5,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,3,4,6,2,7,1,8]=>[8,1,7,2,6,4,3,5]=>[1,8,7,2,6,4,5,3]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]
[3,4,5,6,2,7,1,8]=>[8,1,7,2,6,5,4,3]=>[8,7,6,1,5,2,4,3]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[5,4,6,2,3,7,1,8]=>[8,1,7,3,2,6,4,5]=>[1,3,2,8,7,4,6,5]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]
[4,5,6,2,3,7,1,8]=>[8,1,7,3,2,6,5,4]=>[8,3,1,7,6,2,5,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[5,6,3,2,4,7,1,8]=>[8,1,7,4,2,3,6,5]=>[4,1,2,8,7,3,6,5]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]
[5,6,2,3,4,7,1,8]=>[8,1,7,4,3,2,6,5]=>[4,1,8,7,6,3,5,2]=>[[.,.],[[[[[.,.],.],.],[.,.]],.]]
[6,4,3,2,5,7,1,8]=>[8,1,7,5,2,3,4,6]=>[1,2,3,8,7,5,6,4]=>[.,[.,[.,[[[[.,.],.],[.,.]],.]]]]
[6,3,4,2,5,7,1,8]=>[8,1,7,5,2,4,3,6]=>[1,8,2,7,5,4,6,3]=>[.,[[.,.],[[[[.,.],.],[.,.]],.]]]
[6,4,2,3,5,7,1,8]=>[8,1,7,5,3,2,4,6]=>[1,3,8,7,5,4,6,2]=>[.,[[.,[[[[.,.],.],.],[.,.]]],.]]
[6,3,2,4,5,7,1,8]=>[8,1,7,5,4,2,3,6]=>[1,2,8,7,5,4,6,3]=>[.,[.,[[[[[.,.],.],.],[.,.]],.]]]
[6,2,3,4,5,7,1,8]=>[8,1,7,5,4,3,2,6]=>[1,8,7,5,4,3,6,2]=>[.,[[[[[[.,.],.],.],.],[.,.]],.]]
[5,4,3,2,6,7,1,8]=>[8,1,7,6,2,3,4,5]=>[1,2,3,8,7,4,6,5]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]
[5,3,4,2,6,7,1,8]=>[8,1,7,6,2,4,3,5]=>[1,8,2,7,6,4,5,3]=>[.,[[.,.],[[[[.,.],.],[.,.]],.]]]
[3,4,5,2,6,7,1,8]=>[8,1,7,6,2,5,4,3]=>[8,7,1,6,5,2,4,3]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[5,2,3,4,6,7,1,8]=>[8,1,7,6,4,3,2,5]=>[1,8,7,6,4,3,5,2]=>[.,[[[[[[.,.],.],.],.],[.,.]],.]]
[4,3,2,5,6,7,1,8]=>[8,1,7,6,5,2,3,4]=>[1,2,8,7,6,3,5,4]=>[.,[.,[[[[.,.],.],.],[[.,.],.]]]]
[3,4,2,5,6,7,1,8]=>[8,1,7,6,5,2,4,3]=>[8,1,7,6,5,2,4,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[4,2,3,5,6,7,1,8]=>[8,1,7,6,5,3,2,4]=>[1,8,7,6,5,3,4,2]=>[.,[[[[[[.,.],.],.],.],[.,.]],.]]
[3,2,4,5,6,7,1,8]=>[8,1,7,6,5,4,2,3]=>[1,8,7,6,5,2,4,3]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]]
[2,3,4,5,6,7,1,8]=>[8,1,7,6,5,4,3,2]=>[8,7,6,5,4,1,3,2]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[7,6,5,4,3,1,2,8]=>[8,2,1,3,4,5,6,7]=>[2,3,4,5,6,8,7,1]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[6,7,5,4,3,1,2,8]=>[8,2,1,3,4,5,7,6]=>[2,1,3,4,5,8,7,6]=>[[.,.],[.,[.,[.,[[[.,.],.],.]]]]]
[7,5,4,6,3,1,2,8]=>[8,2,1,3,6,4,5,7]=>[2,3,4,1,6,8,7,5]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]
[7,4,5,6,3,1,2,8]=>[8,2,1,3,6,5,4,7]=>[2,8,3,1,6,7,5,4]=>[[.,[[.,.],.]],[[[.,[.,.]],.],.]]
[4,5,6,7,3,1,2,8]=>[8,2,1,3,7,6,5,4]=>[8,7,2,1,3,6,5,4]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]
[6,7,5,3,4,1,2,8]=>[8,2,1,4,3,5,7,6]=>[2,1,4,5,3,8,7,6]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]
[5,6,7,3,4,1,2,8]=>[8,2,1,4,3,7,6,5]=>[8,2,1,4,3,7,6,5]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[6,7,3,4,5,1,2,8]=>[8,2,1,5,4,3,7,6]=>[2,1,8,5,4,7,6,3]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]
[7,5,4,3,6,1,2,8]=>[8,2,1,6,3,4,5,7]=>[2,3,4,6,1,8,7,5]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]
[7,5,3,4,6,1,2,8]=>[8,2,1,6,4,3,5,7]=>[2,4,8,6,1,7,5,3]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]
[6,5,4,3,7,1,2,8]=>[8,2,1,7,3,4,5,6]=>[2,3,4,5,1,8,7,6]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]
[5,6,3,4,7,1,2,8]=>[8,2,1,7,4,3,6,5]=>[2,1,8,4,3,7,6,5]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[6,3,4,5,7,1,2,8]=>[8,2,1,7,5,4,3,6]=>[2,8,7,5,1,6,4,3]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]
[4,5,3,6,7,1,2,8]=>[8,2,1,7,6,3,5,4]=>[8,2,7,3,1,6,5,4]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[5,3,4,6,7,1,2,8]=>[8,2,1,7,6,4,3,5]=>[2,8,7,4,1,6,5,3]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]
[7,6,5,4,2,1,3,8]=>[8,3,1,2,4,5,6,7]=>[1,3,4,5,6,8,7,2]=>[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]
[7,5,6,4,2,1,3,8]=>[8,3,1,2,4,6,5,7]=>[1,3,2,4,6,8,7,5]=>[.,[[.,.],[.,[[.,[[.,.],.]],.]]]]
[6,5,7,4,2,1,3,8]=>[8,3,1,2,4,7,5,6]=>[1,3,2,4,5,8,7,6]=>[.,[[.,.],[.,[.,[[[.,.],.],.]]]]]
[5,6,7,4,2,1,3,8]=>[8,3,1,2,4,7,6,5]=>[8,3,1,2,4,7,6,5]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[7,5,4,6,2,1,3,8]=>[8,3,1,2,6,4,5,7]=>[1,3,4,2,6,8,7,5]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[7,6,5,4,1,2,3,8]=>[8,3,2,1,4,5,6,7]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[6,5,7,4,1,2,3,8]=>[8,3,2,1,4,7,5,6]=>[3,4,2,5,8,7,6,1]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.]
[5,6,7,4,1,2,3,8]=>[8,3,2,1,4,7,6,5]=>[3,2,1,4,8,7,6,5]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]
[7,6,4,5,1,2,3,8]=>[8,3,2,1,5,4,6,7]=>[3,5,6,2,8,7,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[7,5,4,6,1,2,3,8]=>[8,3,2,1,6,4,5,7]=>[3,4,6,2,8,7,5,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[5,6,4,7,1,2,3,8]=>[8,3,2,1,7,4,6,5]=>[3,2,4,1,8,7,6,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]
[4,5,6,7,1,2,3,8]=>[8,3,2,1,7,6,5,4]=>[8,3,2,1,7,6,5,4]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[7,6,5,3,2,1,4,8]=>[8,4,1,2,3,5,6,7]=>[1,2,4,5,6,8,7,3]=>[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]
[6,5,7,3,2,1,4,8]=>[8,4,1,2,3,7,5,6]=>[1,4,2,3,5,8,7,6]=>[.,[[.,.],[.,[.,[[[.,.],.],.]]]]]
[7,6,5,2,3,1,4,8]=>[8,4,1,3,2,5,6,7]=>[1,4,5,8,6,7,3,2]=>[.,[[[.,[.,[[.,.],[.,.]]]],.],.]]
[6,7,5,2,3,1,4,8]=>[8,4,1,3,2,5,7,6]=>[4,1,3,8,5,7,6,2]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]
[7,5,6,2,3,1,4,8]=>[8,4,1,3,2,6,5,7]=>[1,4,3,8,6,7,5,2]=>[.,[[[.,.],[[[.,.],[.,.]],.]],.]]
[7,6,5,3,1,2,4,8]=>[8,4,2,1,3,5,6,7]=>[2,4,5,6,8,7,3,1]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[6,7,5,3,1,2,4,8]=>[8,4,2,1,3,5,7,6]=>[4,2,3,5,8,7,6,1]=>[[[.,.],[.,[.,[[[.,.],.],.]]]],.]
[7,5,6,3,1,2,4,8]=>[8,4,2,1,3,6,5,7]=>[2,4,3,6,8,7,5,1]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.]
[5,6,7,3,1,2,4,8]=>[8,4,2,1,3,7,6,5]=>[4,2,1,3,8,7,6,5]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]
[7,5,6,2,1,3,4,8]=>[8,4,3,1,2,6,5,7]=>[1,4,3,6,8,7,5,2]=>[.,[[[.,.],[[.,[[.,.],.]],.]],.]]
[7,6,5,1,2,3,4,8]=>[8,4,3,2,1,5,6,7]=>[4,5,6,8,7,3,2,1]=>[[[[.,[.,[.,[[.,.],.]]]],.],.],.]
[7,5,6,1,2,3,4,8]=>[8,4,3,2,1,6,5,7]=>[4,6,3,8,7,5,2,1]=>[[[[.,[.,.]],[[[.,.],.],.]],.],.]
[5,6,7,1,2,3,4,8]=>[8,4,3,2,1,7,6,5]=>[4,3,2,8,7,6,5,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]
[7,6,4,3,2,1,5,8]=>[8,5,1,2,3,4,6,7]=>[1,2,3,5,6,8,7,4]=>[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]
[7,6,3,4,2,1,5,8]=>[8,5,1,2,4,3,6,7]=>[1,2,8,5,6,7,4,3]=>[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]
[7,6,3,2,4,1,5,8]=>[8,5,1,4,2,3,6,7]=>[1,2,5,8,6,7,4,3]=>[.,[.,[[[.,[[.,.],[.,.]]],.],.]]]
[7,6,4,3,1,2,5,8]=>[8,5,2,1,3,4,6,7]=>[2,3,5,6,8,7,4,1]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[7,6,3,4,1,2,5,8]=>[8,5,2,1,4,3,6,7]=>[2,5,6,1,8,7,4,3]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]
[6,7,3,4,1,2,5,8]=>[8,5,2,1,4,3,7,6]=>[2,1,5,4,8,7,6,3]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]
[7,6,4,2,1,3,5,8]=>[8,5,3,1,2,4,6,7]=>[1,3,5,6,8,7,4,2]=>[.,[[.,[[.,[.,[[.,.],.]]],.]],.]]
[7,6,4,1,2,3,5,8]=>[8,5,3,2,1,4,6,7]=>[3,5,6,8,7,4,2,1]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[6,7,4,1,2,3,5,8]=>[8,5,3,2,1,4,7,6]=>[5,3,4,8,7,6,2,1]=>[[[[.,.],[.,[[[.,.],.],.]]],.],.]
[7,6,3,2,1,4,5,8]=>[8,5,4,1,2,3,6,7]=>[1,2,5,6,8,7,4,3]=>[.,[.,[[[.,[.,[[.,.],.]]],.],.]]]
[6,7,3,2,1,4,5,8]=>[8,5,4,1,2,3,7,6]=>[5,1,2,4,8,7,6,3]=>[[.,.],[.,[[.,[[[.,.],.],.]],.]]]
[6,7,2,3,1,4,5,8]=>[8,5,4,1,3,2,7,6]=>[5,1,8,4,7,6,3,2]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]
[7,6,1,2,3,4,5,8]=>[8,5,4,3,2,1,6,7]=>[5,6,8,7,4,3,2,1]=>[[[[[.,[.,[[.,.],.]]],.],.],.],.]
[7,5,4,3,2,1,6,8]=>[8,6,1,2,3,4,5,7]=>[1,2,3,4,6,8,7,5]=>[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]
[7,4,5,3,2,1,6,8]=>[8,6,1,2,3,5,4,7]=>[1,8,2,3,6,7,5,4]=>[.,[[.,.],[.,[[[.,[.,.]],.],.]]]]
[7,5,3,4,2,1,6,8]=>[8,6,1,2,4,3,5,7]=>[1,2,8,4,6,7,5,3]=>[.,[.,[[[.,.],[[.,[.,.]],.]],.]]]
[7,4,3,2,5,1,6,8]=>[8,6,1,5,2,3,4,7]=>[1,2,3,8,6,7,5,4]=>[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]
[7,4,2,3,5,1,6,8]=>[8,6,1,5,3,2,4,7]=>[1,3,8,6,5,7,4,2]=>[.,[[.,[[[[.,.],.],[.,.]],.]],.]]
[7,2,3,4,5,1,6,8]=>[8,6,1,5,4,3,2,7]=>[1,8,6,5,4,7,3,2]=>[.,[[[[[[.,.],.],.],[.,.]],.],.]]
[7,4,5,3,1,2,6,8]=>[8,6,2,1,3,5,4,7]=>[2,3,1,6,8,7,5,4]=>[[.,[.,.]],[[[.,[[.,.],.]],.],.]]
[7,5,3,4,1,2,6,8]=>[8,6,2,1,4,3,5,7]=>[2,4,6,1,8,7,5,3]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]
[7,4,3,5,1,2,6,8]=>[8,6,2,1,5,3,4,7]=>[2,3,6,1,8,7,5,4]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]
[7,4,5,2,1,3,6,8]=>[8,6,3,1,2,5,4,7]=>[1,3,2,6,8,7,5,4]=>[.,[[.,.],[[[.,[[.,.],.]],.],.]]]
[7,4,5,1,2,3,6,8]=>[8,6,3,2,1,5,4,7]=>[3,6,2,8,7,5,4,1]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]
[7,5,3,2,1,4,6,8]=>[8,6,4,1,2,3,5,7]=>[1,2,4,6,8,7,5,3]=>[.,[.,[[.,[[.,[[.,.],.]],.]],.]]]
[7,5,2,3,1,4,6,8]=>[8,6,4,1,3,2,5,7]=>[1,4,8,6,7,5,3,2]=>[.,[[[.,[[[.,.],[.,.]],.]],.],.]]
[7,5,3,1,2,4,6,8]=>[8,6,4,2,1,3,5,7]=>[2,4,6,8,7,5,3,1]=>[[.,[[.,[[.,[[.,.],.]],.]],.]],.]
[7,5,2,1,3,4,6,8]=>[8,6,4,3,1,2,5,7]=>[1,4,6,8,7,5,3,2]=>[.,[[[.,[[.,[[.,.],.]],.]],.],.]]
[7,5,1,2,3,4,6,8]=>[8,6,4,3,2,1,5,7]=>[4,6,8,7,5,3,2,1]=>[[[[.,[[.,[[.,.],.]],.]],.],.],.]
[7,4,3,2,1,5,6,8]=>[8,6,5,1,2,3,4,7]=>[1,2,3,6,8,7,5,4]=>[.,[.,[.,[[[.,[[.,.],.]],.],.]]]]
[7,3,4,2,1,5,6,8]=>[8,6,5,1,2,4,3,7]=>[1,8,2,6,7,5,4,3]=>[.,[[.,.],[[[[.,[.,.]],.],.],.]]]
[7,4,1,2,3,5,6,8]=>[8,6,5,3,2,1,4,7]=>[3,6,8,7,5,4,2,1]=>[[[.,[[[.,[[.,.],.]],.],.]],.],.]
[7,2,3,1,4,5,6,8]=>[8,6,5,4,1,3,2,7]=>[1,8,6,7,5,4,3,2]=>[.,[[[[[[.,.],[.,.]],.],.],.],.]]
[7,3,1,2,4,5,6,8]=>[8,6,5,4,2,1,3,7]=>[2,6,8,7,5,4,3,1]=>[[.,[[[[.,[[.,.],.]],.],.],.]],.]
[7,2,1,3,4,5,6,8]=>[8,6,5,4,3,1,2,7]=>[1,6,8,7,5,4,3,2]=>[.,[[[[[.,[[.,.],.]],.],.],.],.]]
[7,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,7]=>[6,8,7,5,4,3,2,1]=>[[[[[[.,[[.,.],.]],.],.],.],.],.]
[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[1,2,3,4,5,8,7,6]=>[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]
[5,6,4,3,2,1,7,8]=>[8,7,1,2,3,4,6,5]=>[8,1,2,3,4,7,6,5]=>[[.,.],[.,[.,[.,[[[.,.],.],.]]]]]
[5,4,6,3,2,1,7,8]=>[8,7,1,2,3,6,4,5]=>[1,8,2,3,4,7,6,5]=>[.,[[.,.],[.,[.,[[[.,.],.],.]]]]]
[4,5,6,3,2,1,7,8]=>[8,7,1,2,3,6,5,4]=>[8,7,1,2,3,6,5,4]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[5,6,3,4,2,1,7,8]=>[8,7,1,2,4,3,6,5]=>[4,1,8,2,3,7,6,5]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]
[6,4,3,5,2,1,7,8]=>[8,7,1,2,5,3,4,6]=>[1,2,8,3,5,7,6,4]=>[.,[.,[[.,.],[[.,[[.,.],.]],.]]]]
[6,3,4,5,2,1,7,8]=>[8,7,1,2,5,4,3,6]=>[1,8,7,2,5,6,4,3]=>[.,[[[.,.],.],[[[.,[.,.]],.],.]]]
[5,4,3,6,2,1,7,8]=>[8,7,1,2,6,3,4,5]=>[1,2,8,3,4,7,6,5]=>[.,[.,[[.,.],[.,[[[.,.],.],.]]]]]
[4,3,5,6,2,1,7,8]=>[8,7,1,2,6,5,3,4]=>[1,8,7,2,3,6,5,4]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]]
[3,4,5,6,2,1,7,8]=>[8,7,1,2,6,5,4,3]=>[8,7,6,1,2,5,4,3]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]
[6,4,5,2,3,1,7,8]=>[8,7,1,3,2,5,4,6]=>[1,3,2,8,5,7,6,4]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]]
[6,4,3,2,5,1,7,8]=>[8,7,1,5,2,3,4,6]=>[1,2,3,8,5,7,6,4]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]
[6,3,2,4,5,1,7,8]=>[8,7,1,5,4,2,3,6]=>[1,2,8,7,5,6,4,3]=>[.,[.,[[[[[.,.],.],[.,.]],.],.]]]
[5,4,3,2,6,1,7,8]=>[8,7,1,6,2,3,4,5]=>[1,2,3,8,4,7,6,5]=>[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]
[4,5,3,2,6,1,7,8]=>[8,7,1,6,2,3,5,4]=>[8,1,2,7,3,6,5,4]=>[[.,.],[.,[[.,.],[[[.,.],.],.]]]]
[4,3,5,2,6,1,7,8]=>[8,7,1,6,2,5,3,4]=>[1,8,2,7,3,6,5,4]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]
[3,4,5,2,6,1,7,8]=>[8,7,1,6,2,5,4,3]=>[8,7,1,6,2,5,4,3]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[5,3,2,4,6,1,7,8]=>[8,7,1,6,4,2,3,5]=>[1,2,8,7,4,6,5,3]=>[.,[.,[[[[.,.],.],[[.,.],.]],.]]]
[5,2,3,4,6,1,7,8]=>[8,7,1,6,4,3,2,5]=>[1,8,7,6,4,5,3,2]=>[.,[[[[[[.,.],.],.],[.,.]],.],.]]
[4,3,2,5,6,1,7,8]=>[8,7,1,6,5,2,3,4]=>[1,2,8,7,3,6,5,4]=>[.,[.,[[[.,.],.],[[[.,.],.],.]]]]
[3,4,2,5,6,1,7,8]=>[8,7,1,6,5,2,4,3]=>[8,1,7,6,2,5,4,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[4,2,3,5,6,1,7,8]=>[8,7,1,6,5,3,2,4]=>[1,8,7,6,3,5,4,2]=>[.,[[[[[.,.],.],.],[[.,.],.]],.]]
[2,3,4,5,6,1,7,8]=>[8,7,1,6,5,4,3,2]=>[8,7,6,5,1,4,3,2]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[6,5,4,3,1,2,7,8]=>[8,7,2,1,3,4,5,6]=>[2,3,4,5,8,7,6,1]=>[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]
[4,5,6,3,1,2,7,8]=>[8,7,2,1,3,6,5,4]=>[8,2,1,3,7,6,5,4]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]
[5,6,3,4,1,2,7,8]=>[8,7,2,1,4,3,6,5]=>[2,1,4,3,8,7,6,5]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]
[6,3,4,5,1,2,7,8]=>[8,7,2,1,5,4,3,6]=>[2,8,5,1,7,6,4,3]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[5,4,3,6,1,2,7,8]=>[8,7,2,1,6,3,4,5]=>[2,3,4,1,8,7,6,5]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]
[3,4,5,6,1,2,7,8]=>[8,7,2,1,6,5,4,3]=>[8,7,2,1,6,5,4,3]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[5,6,4,2,1,3,7,8]=>[8,7,3,1,2,4,6,5]=>[3,1,2,4,8,7,6,5]=>[[.,.],[.,[.,[[[[.,.],.],.],.]]]]
[5,4,6,2,1,3,7,8]=>[8,7,3,1,2,6,4,5]=>[1,3,2,4,8,7,6,5]=>[.,[[.,.],[.,[[[[.,.],.],.],.]]]]
[5,6,4,1,2,3,7,8]=>[8,7,3,2,1,4,6,5]=>[3,2,4,8,7,6,5,1]=>[[[.,.],[.,[[[[.,.],.],.],.]]],.]
[6,4,5,1,2,3,7,8]=>[8,7,3,2,1,5,4,6]=>[3,5,2,8,7,6,4,1]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]
[5,4,6,1,2,3,7,8]=>[8,7,3,2,1,6,4,5]=>[3,4,2,8,7,6,5,1]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]
[4,5,6,1,2,3,7,8]=>[8,7,3,2,1,6,5,4]=>[3,2,1,8,7,6,5,4]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[6,5,3,2,1,4,7,8]=>[8,7,4,1,2,3,5,6]=>[1,2,4,5,8,7,6,3]=>[.,[.,[[.,[.,[[[.,.],.],.]]],.]]]
[5,6,3,1,2,4,7,8]=>[8,7,4,2,1,3,6,5]=>[4,2,3,8,7,6,5,1]=>[[[.,.],[.,[[[[.,.],.],.],.]]],.]
[6,5,1,2,3,4,7,8]=>[8,7,4,3,2,1,5,6]=>[4,5,8,7,6,3,2,1]=>[[[[.,[.,[[[.,.],.],.]]],.],.],.]
[5,6,1,2,3,4,7,8]=>[8,7,4,3,2,1,6,5]=>[4,3,8,7,6,5,2,1]=>[[[[.,.],[[[[.,.],.],.],.]],.],.]
[6,4,3,2,1,5,7,8]=>[8,7,5,1,2,3,4,6]=>[1,2,3,5,8,7,6,4]=>[.,[.,[.,[[.,[[[.,.],.],.]],.]]]]
[6,3,4,2,1,5,7,8]=>[8,7,5,1,2,4,3,6]=>[1,8,2,5,7,6,4,3]=>[.,[[.,.],[[[.,[[.,.],.]],.],.]]]
[6,2,3,4,1,5,7,8]=>[8,7,5,1,4,3,2,6]=>[1,8,7,5,6,4,3,2]=>[.,[[[[[[.,.],.],[.,.]],.],.],.]]
[6,4,3,1,2,5,7,8]=>[8,7,5,2,1,3,4,6]=>[2,3,5,8,7,6,4,1]=>[[.,[.,[[.,[[[.,.],.],.]],.]]],.]
[6,4,2,1,3,5,7,8]=>[8,7,5,3,1,2,4,6]=>[1,3,5,8,7,6,4,2]=>[.,[[.,[[.,[[[.,.],.],.]],.]],.]]
[6,4,1,2,3,5,7,8]=>[8,7,5,3,2,1,4,6]=>[3,5,8,7,6,4,2,1]=>[[[.,[[.,[[[.,.],.],.]],.]],.],.]
[6,3,2,1,4,5,7,8]=>[8,7,5,4,1,2,3,6]=>[1,2,5,8,7,6,4,3]=>[.,[.,[[[.,[[[.,.],.],.]],.],.]]]
[6,2,3,1,4,5,7,8]=>[8,7,5,4,1,3,2,6]=>[1,8,5,7,6,4,3,2]=>[.,[[[[[.,.],[[.,.],.]],.],.],.]]
[6,2,1,3,4,5,7,8]=>[8,7,5,4,3,1,2,6]=>[1,5,8,7,6,4,3,2]=>[.,[[[[.,[[[.,.],.],.]],.],.],.]]
[6,1,2,3,4,5,7,8]=>[8,7,5,4,3,2,1,6]=>[5,8,7,6,4,3,2,1]=>[[[[[.,[[[.,.],.],.]],.],.],.],.]
[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[1,2,3,4,8,7,6,5]=>[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]
[4,5,3,2,1,6,7,8]=>[8,7,6,1,2,3,5,4]=>[8,1,2,3,7,6,5,4]=>[[.,.],[.,[.,[[[[.,.],.],.],.]]]]
[5,3,4,2,1,6,7,8]=>[8,7,6,1,2,4,3,5]=>[1,8,2,4,7,6,5,3]=>[.,[[.,.],[[.,[[[.,.],.],.]],.]]]
[4,3,5,2,1,6,7,8]=>[8,7,6,1,2,5,3,4]=>[1,8,2,3,7,6,5,4]=>[.,[[.,.],[.,[[[[.,.],.],.],.]]]]
[3,4,5,2,1,6,7,8]=>[8,7,6,1,2,5,4,3]=>[8,7,1,2,6,5,4,3]=>[[[.,.],.],[.,[[[[.,.],.],.],.]]]
[4,5,2,3,1,6,7,8]=>[8,7,6,1,3,2,5,4]=>[3,1,8,2,7,6,5,4]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]
[5,3,2,4,1,6,7,8]=>[8,7,6,1,4,2,3,5]=>[1,2,8,4,7,6,5,3]=>[.,[.,[[[.,.],[[[.,.],.],.]],.]]]
[5,2,3,4,1,6,7,8]=>[8,7,6,1,4,3,2,5]=>[1,8,7,4,6,5,3,2]=>[.,[[[[[.,.],.],[[.,.],.]],.],.]]
[4,3,2,5,1,6,7,8]=>[8,7,6,1,5,2,3,4]=>[1,2,8,3,7,6,5,4]=>[.,[.,[[.,.],[[[[.,.],.],.],.]]]]
[3,4,2,5,1,6,7,8]=>[8,7,6,1,5,2,4,3]=>[8,1,7,2,6,5,4,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]
[4,2,3,5,1,6,7,8]=>[8,7,6,1,5,3,2,4]=>[1,8,7,3,6,5,4,2]=>[.,[[[[.,.],.],[[[.,.],.],.]],.]]
[3,2,4,5,1,6,7,8]=>[8,7,6,1,5,4,2,3]=>[1,8,7,2,6,5,4,3]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]]
[2,3,4,5,1,6,7,8]=>[8,7,6,1,5,4,3,2]=>[8,7,6,1,5,4,3,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[5,4,3,1,2,6,7,8]=>[8,7,6,2,1,3,4,5]=>[2,3,4,8,7,6,5,1]=>[[.,[.,[.,[[[[.,.],.],.],.]]]],.]
[5,3,4,1,2,6,7,8]=>[8,7,6,2,1,4,3,5]=>[2,4,1,8,7,6,5,3]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[4,3,5,1,2,6,7,8]=>[8,7,6,2,1,5,3,4]=>[2,3,1,8,7,6,5,4]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[5,4,2,1,3,6,7,8]=>[8,7,6,3,1,2,4,5]=>[1,3,4,8,7,6,5,2]=>[.,[[.,[.,[[[[.,.],.],.],.]]],.]]
[4,5,1,2,3,6,7,8]=>[8,7,6,3,2,1,5,4]=>[3,2,8,7,6,5,4,1]=>[[[.,.],[[[[[.,.],.],.],.],.]],.]
[5,3,2,1,4,6,7,8]=>[8,7,6,4,1,2,3,5]=>[1,2,4,8,7,6,5,3]=>[.,[.,[[.,[[[[.,.],.],.],.]],.]]]
[5,2,3,1,4,6,7,8]=>[8,7,6,4,1,3,2,5]=>[1,8,4,7,6,5,3,2]=>[.,[[[[.,.],[[[.,.],.],.]],.],.]]
[5,3,1,2,4,6,7,8]=>[8,7,6,4,2,1,3,5]=>[2,4,8,7,6,5,3,1]=>[[.,[[.,[[[[.,.],.],.],.]],.]],.]
[5,2,1,3,4,6,7,8]=>[8,7,6,4,3,1,2,5]=>[1,4,8,7,6,5,3,2]=>[.,[[[.,[[[[.,.],.],.],.]],.],.]]
[5,1,2,3,4,6,7,8]=>[8,7,6,4,3,2,1,5]=>[4,8,7,6,5,3,2,1]=>[[[[.,[[[[.,.],.],.],.]],.],.],.]
[4,3,2,1,5,6,7,8]=>[8,7,6,5,1,2,3,4]=>[1,2,3,8,7,6,5,4]=>[.,[.,[.,[[[[[.,.],.],.],.],.]]]]
[3,4,2,1,5,6,7,8]=>[8,7,6,5,1,2,4,3]=>[8,1,2,7,6,5,4,3]=>[[.,.],[.,[[[[[.,.],.],.],.],.]]]
[4,2,3,1,5,6,7,8]=>[8,7,6,5,1,3,2,4]=>[1,8,3,7,6,5,4,2]=>[.,[[[.,.],[[[[.,.],.],.],.]],.]]
[3,2,4,1,5,6,7,8]=>[8,7,6,5,1,4,2,3]=>[1,8,2,7,6,5,4,3]=>[.,[[.,.],[[[[[.,.],.],.],.],.]]]
[2,3,4,1,5,6,7,8]=>[8,7,6,5,1,4,3,2]=>[8,7,1,6,5,4,3,2]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[4,3,1,2,5,6,7,8]=>[8,7,6,5,2,1,3,4]=>[2,3,8,7,6,5,4,1]=>[[.,[.,[[[[[.,.],.],.],.],.]]],.]
[3,4,1,2,5,6,7,8]=>[8,7,6,5,2,1,4,3]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[4,2,1,3,5,6,7,8]=>[8,7,6,5,3,1,2,4]=>[1,3,8,7,6,5,4,2]=>[.,[[.,[[[[[.,.],.],.],.],.]],.]]
[4,1,2,3,5,6,7,8]=>[8,7,6,5,3,2,1,4]=>[3,8,7,6,5,4,2,1]=>[[[.,[[[[[.,.],.],.],.],.]],.],.]
[3,2,1,4,5,6,7,8]=>[8,7,6,5,4,1,2,3]=>[1,2,8,7,6,5,4,3]=>[.,[.,[[[[[[.,.],.],.],.],.],.]]]
[2,3,1,4,5,6,7,8]=>[8,7,6,5,4,1,3,2]=>[8,1,7,6,5,4,3,2]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[3,1,2,4,5,6,7,8]=>[8,7,6,5,4,2,1,3]=>[2,8,7,6,5,4,3,1]=>[[.,[[[[[[.,.],.],.],.],.],.]],.]
[2,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,2]=>[1,8,7,6,5,4,3,2]=>[.,[[[[[[[.,.],.],.],.],.],.],.]]
[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[6,8,7,5,4,3,2,1]=>[1,2,3,4,5,7,8,6]=>[7,1,2,3,4,5,6,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,8,7,6,4,3,2,1]=>[1,2,3,4,6,7,8,5]=>[6,1,2,3,4,5,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,8,6,4,3,2,1]=>[1,2,3,4,6,8,7,5]=>[8,6,1,2,3,4,5,7]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[5,6,8,7,4,3,2,1]=>[1,2,3,4,7,8,6,5]=>[7,6,1,2,3,4,5,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[5,7,6,8,4,3,2,1]=>[1,2,3,4,8,6,7,5]=>[8,1,6,2,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[4,8,7,6,5,3,2,1]=>[1,2,3,5,6,7,8,4]=>[5,1,2,3,4,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,8,6,5,3,2,1]=>[1,2,3,5,6,8,7,4]=>[8,5,1,2,3,4,6,7]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[4,6,8,7,5,3,2,1]=>[1,2,3,5,7,8,6,4]=>[7,5,1,2,3,4,6,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[4,7,6,8,5,3,2,1]=>[1,2,3,5,8,6,7,4]=>[8,1,5,2,3,4,6,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[4,6,7,8,5,3,2,1]=>[1,2,3,5,8,7,6,4]=>[8,7,5,1,2,3,4,6]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[5,4,8,7,6,3,2,1]=>[1,2,3,6,7,8,4,5]=>[6,7,1,2,3,4,5,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[5,4,7,8,6,3,2,1]=>[1,2,3,6,8,7,4,5]=>[6,8,7,1,2,3,4,5]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]
[4,5,8,7,6,3,2,1]=>[1,2,3,6,7,8,5,4]=>[6,5,1,2,3,4,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[4,5,7,8,6,3,2,1]=>[1,2,3,6,8,7,5,4]=>[8,6,5,1,2,3,4,7]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[6,5,4,8,7,3,2,1]=>[1,2,3,7,8,4,5,6]=>[1,7,8,2,3,4,5,6]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,6,4,8,7,3,2,1]=>[1,2,3,7,8,4,6,5]=>[7,6,8,1,2,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[4,6,5,8,7,3,2,1]=>[1,2,3,7,8,5,6,4]=>[7,5,8,1,2,3,4,6]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[5,4,6,8,7,3,2,1]=>[1,2,3,7,8,6,4,5]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[4,5,6,8,7,3,2,1]=>[1,2,3,7,8,6,5,4]=>[7,6,5,1,2,3,4,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[5,7,6,4,8,3,2,1]=>[1,2,3,8,4,6,7,5]=>[8,1,2,6,3,4,5,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,7,6,5,8,3,2,1]=>[1,2,3,8,5,6,7,4]=>[8,1,2,5,3,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,6,7,5,8,3,2,1]=>[1,2,3,8,5,7,6,4]=>[8,7,1,5,2,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[5,4,7,6,8,3,2,1]=>[1,2,3,8,6,7,4,5]=>[6,8,1,7,2,3,4,5]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,5,7,6,8,3,2,1]=>[1,2,3,8,6,7,5,4]=>[8,6,1,5,2,3,4,7]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[4,6,5,7,8,3,2,1]=>[1,2,3,8,7,5,6,4]=>[8,1,7,5,2,3,4,6]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[3,8,7,6,5,4,2,1]=>[1,2,4,5,6,7,8,3]=>[4,1,2,3,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,8,6,5,4,2,1]=>[1,2,4,5,6,8,7,3]=>[8,4,1,2,3,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[3,6,8,7,5,4,2,1]=>[1,2,4,5,7,8,6,3]=>[7,4,1,2,3,5,6,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[3,7,6,8,5,4,2,1]=>[1,2,4,5,8,6,7,3]=>[8,1,4,2,3,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,6,7,8,5,4,2,1]=>[1,2,4,5,8,7,6,3]=>[8,7,4,1,2,3,5,6]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[3,5,8,7,6,4,2,1]=>[1,2,4,6,7,8,5,3]=>[6,4,1,2,3,5,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[3,5,7,8,6,4,2,1]=>[1,2,4,6,8,7,5,3]=>[8,6,4,1,2,3,5,7]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[3,6,5,8,7,4,2,1]=>[1,2,4,7,8,5,6,3]=>[7,4,8,1,2,3,5,6]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[3,7,6,5,8,4,2,1]=>[1,2,4,8,5,6,7,3]=>[8,1,2,4,3,5,6,7]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[3,5,6,7,8,4,2,1]=>[1,2,4,8,7,6,5,3]=>[8,7,6,4,1,2,3,5]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[4,3,7,8,6,5,2,1]=>[1,2,5,6,8,7,3,4]=>[5,8,6,1,2,3,4,7]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]
[4,3,6,8,7,5,2,1]=>[1,2,5,7,8,6,3,4]=>[5,7,6,1,2,3,4,8]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]
[4,3,7,6,8,5,2,1]=>[1,2,5,8,6,7,3,4]=>[5,8,1,6,2,3,4,7]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,3,6,7,8,5,2,1]=>[1,2,5,8,7,6,3,4]=>[5,8,7,6,1,2,3,4]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]
[3,4,8,7,6,5,2,1]=>[1,2,5,6,7,8,4,3]=>[5,4,1,2,3,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[3,4,7,8,6,5,2,1]=>[1,2,5,6,8,7,4,3]=>[8,5,4,1,2,3,6,7]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[3,4,7,6,8,5,2,1]=>[1,2,5,8,6,7,4,3]=>[8,5,1,4,2,3,6,7]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[3,4,6,7,8,5,2,1]=>[1,2,5,8,7,6,4,3]=>[8,7,5,4,1,2,3,6]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[5,4,3,8,7,6,2,1]=>[1,2,6,7,8,3,4,5]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[5,4,3,7,8,6,2,1]=>[1,2,6,8,7,3,4,5]=>[1,6,8,7,2,3,4,5]=>[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]
[3,5,4,8,7,6,2,1]=>[1,2,6,7,8,4,5,3]=>[6,4,7,1,2,3,5,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[4,3,5,8,7,6,2,1]=>[1,2,6,7,8,5,3,4]=>[6,7,5,1,2,3,4,8]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[4,3,5,7,8,6,2,1]=>[1,2,6,8,7,5,3,4]=>[6,8,7,5,1,2,3,4]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]
[3,4,5,8,7,6,2,1]=>[1,2,6,7,8,5,4,3]=>[6,5,4,1,2,3,7,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[6,5,4,3,8,7,2,1]=>[1,2,7,8,3,4,5,6]=>[1,2,7,8,3,4,5,6]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,6,4,3,8,7,2,1]=>[1,2,7,8,3,4,6,5]=>[7,1,6,8,2,3,4,5]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[4,6,5,3,8,7,2,1]=>[1,2,7,8,3,5,6,4]=>[7,1,5,8,2,3,4,6]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[5,4,6,3,8,7,2,1]=>[1,2,7,8,3,6,4,5]=>[1,7,6,8,2,3,4,5]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[4,5,6,3,8,7,2,1]=>[1,2,7,8,3,6,5,4]=>[7,6,5,8,1,2,3,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[3,6,5,4,8,7,2,1]=>[1,2,7,8,4,5,6,3]=>[7,1,4,8,2,3,5,6]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[4,3,6,5,8,7,2,1]=>[1,2,7,8,5,6,3,4]=>[7,8,5,6,1,2,3,4]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[3,4,6,5,8,7,2,1]=>[1,2,7,8,5,6,4,3]=>[7,5,4,8,1,2,3,6]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[5,4,3,6,8,7,2,1]=>[1,2,7,8,6,3,4,5]=>[1,7,8,6,2,3,4,5]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[4,5,3,6,8,7,2,1]=>[1,2,7,8,6,3,5,4]=>[7,6,8,5,1,2,3,4]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[3,5,4,6,8,7,2,1]=>[1,2,7,8,6,4,5,3]=>[7,6,8,4,1,2,3,5]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[4,3,5,6,8,7,2,1]=>[1,2,7,8,6,5,3,4]=>[7,8,6,5,1,2,3,4]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[3,4,5,6,8,7,2,1]=>[1,2,7,8,6,5,4,3]=>[7,6,5,4,1,2,3,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[5,7,6,4,3,8,2,1]=>[1,2,8,3,4,6,7,5]=>[8,1,2,3,6,4,5,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[4,7,6,5,3,8,2,1]=>[1,2,8,3,5,6,7,4]=>[8,1,2,3,5,4,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[4,6,7,5,3,8,2,1]=>[1,2,8,3,5,7,6,4]=>[8,7,1,2,5,3,4,6]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[5,4,7,6,3,8,2,1]=>[1,2,8,3,6,7,4,5]=>[6,8,1,2,7,3,4,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,7,6,5,4,8,2,1]=>[1,2,8,4,5,6,7,3]=>[8,1,2,4,5,3,6,7]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,5,7,6,4,8,2,1]=>[1,2,8,4,6,7,5,3]=>[8,6,1,2,4,3,5,7]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[3,5,6,7,4,8,2,1]=>[1,2,8,4,7,6,5,3]=>[8,7,6,1,4,2,3,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[4,3,7,6,5,8,2,1]=>[1,2,8,5,6,7,3,4]=>[5,8,1,2,6,3,4,7]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,4,7,6,5,8,2,1]=>[1,2,8,5,6,7,4,3]=>[8,5,1,2,4,3,6,7]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[4,5,3,7,6,8,2,1]=>[1,2,8,6,7,3,5,4]=>[8,6,7,1,5,2,3,4]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[4,3,5,7,6,8,2,1]=>[1,2,8,6,7,5,3,4]=>[6,8,7,1,5,2,3,4]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[3,5,6,4,7,8,2,1]=>[1,2,8,7,4,6,5,3]=>[8,7,1,6,4,2,3,5]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[4,3,6,5,7,8,2,1]=>[1,2,8,7,5,6,3,4]=>[5,8,1,7,6,2,3,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[3,4,6,5,7,8,2,1]=>[1,2,8,7,5,6,4,3]=>[8,7,1,5,4,2,3,6]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[2,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,2]=>[3,1,2,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,8,6,5,4,3,1]=>[1,3,4,5,6,8,7,2]=>[8,3,1,2,4,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[2,6,8,7,5,4,3,1]=>[1,3,4,5,7,8,6,2]=>[7,3,1,2,4,5,6,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[2,7,6,8,5,4,3,1]=>[1,3,4,5,8,6,7,2]=>[8,1,3,2,4,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,5,8,7,6,4,3,1]=>[1,3,4,6,7,8,5,2]=>[6,3,1,2,4,5,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[2,5,7,6,8,4,3,1]=>[1,3,4,8,6,7,5,2]=>[8,6,1,3,2,4,5,7]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[2,5,6,7,8,4,3,1]=>[1,3,4,8,7,6,5,2]=>[8,7,6,3,1,2,4,5]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[2,4,8,7,6,5,3,1]=>[1,3,5,6,7,8,4,2]=>[5,3,1,2,4,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[2,4,7,8,6,5,3,1]=>[1,3,5,6,8,7,4,2]=>[8,5,3,1,2,4,6,7]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[2,4,6,8,7,5,3,1]=>[1,3,5,7,8,6,4,2]=>[7,5,3,1,2,4,6,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[2,4,6,7,8,5,3,1]=>[1,3,5,8,7,6,4,2]=>[8,7,5,3,1,2,4,6]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[2,5,4,7,8,6,3,1]=>[1,3,6,8,7,4,5,2]=>[8,6,7,3,1,2,4,5]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[2,6,5,4,8,7,3,1]=>[1,3,7,8,4,5,6,2]=>[7,1,3,8,2,4,5,6]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[2,4,6,5,8,7,3,1]=>[1,3,7,8,5,6,4,2]=>[7,5,3,8,1,2,4,6]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[2,7,6,5,4,8,3,1]=>[1,3,8,4,5,6,7,2]=>[8,1,3,4,5,2,6,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[2,6,5,4,7,8,3,1]=>[1,3,8,7,4,5,6,2]=>[8,1,3,7,4,2,5,6]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[2,4,5,6,7,8,3,1]=>[1,3,8,7,6,5,4,2]=>[8,7,6,5,3,1,2,4]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[3,2,8,7,6,5,4,1]=>[1,4,5,6,7,8,2,3]=>[4,5,1,2,3,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,2,7,8,6,5,4,1]=>[1,4,5,6,8,7,2,3]=>[4,8,5,1,2,3,6,7]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]
[3,2,6,7,8,5,4,1]=>[1,4,5,8,7,6,2,3]=>[4,8,7,5,1,2,3,6]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]
[3,2,6,5,8,7,4,1]=>[1,4,7,8,5,6,2,3]=>[7,8,4,5,1,2,3,6]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[3,2,7,6,5,8,4,1]=>[1,4,8,5,6,7,2,3]=>[4,8,1,2,5,3,6,7]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,2,6,7,5,8,4,1]=>[1,4,8,5,7,6,2,3]=>[4,8,7,1,5,2,3,6]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[2,3,8,7,6,5,4,1]=>[1,4,5,6,7,8,3,2]=>[4,3,1,2,5,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[2,3,6,8,7,5,4,1]=>[1,4,5,7,8,6,3,2]=>[7,4,3,1,2,5,6,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[2,3,7,6,8,5,4,1]=>[1,4,5,8,6,7,3,2]=>[8,4,1,3,2,5,6,7]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[2,3,5,8,7,6,4,1]=>[1,4,6,7,8,5,3,2]=>[6,4,3,1,2,5,7,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[2,3,5,7,8,6,4,1]=>[1,4,6,8,7,5,3,2]=>[8,6,4,3,1,2,5,7]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[2,3,5,6,8,7,4,1]=>[1,4,7,8,6,5,3,2]=>[7,6,4,3,1,2,5,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[2,3,7,6,5,8,4,1]=>[1,4,8,5,6,7,3,2]=>[8,4,1,3,5,2,6,7]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[2,3,5,7,6,8,4,1]=>[1,4,8,6,7,5,3,2]=>[8,6,4,1,3,2,5,7]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[2,3,5,6,7,8,4,1]=>[1,4,8,7,6,5,3,2]=>[8,7,6,4,3,1,2,5]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[4,3,2,8,7,6,5,1]=>[1,5,6,7,8,2,3,4]=>[5,6,7,1,2,3,4,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[4,3,2,6,8,7,5,1]=>[1,5,7,8,6,2,3,4]=>[5,7,8,6,1,2,3,4]=>[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]
[4,3,2,6,7,8,5,1]=>[1,5,8,7,6,2,3,4]=>[1,5,8,7,6,2,3,4]=>[.,[[.,[[[.,.],.],.]],[.,[.,.]]]]
[3,4,2,6,7,8,5,1]=>[1,5,8,7,6,2,4,3]=>[8,5,7,6,4,1,2,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]
[2,4,3,8,7,6,5,1]=>[1,5,6,7,8,3,4,2]=>[5,3,6,1,2,4,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[2,4,3,7,6,8,5,1]=>[1,5,8,6,7,3,4,2]=>[8,5,6,1,3,2,4,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[3,2,4,7,8,6,5,1]=>[1,5,6,8,7,4,2,3]=>[5,8,6,4,1,2,3,7]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]
[2,3,4,8,7,6,5,1]=>[1,5,6,7,8,4,3,2]=>[5,4,3,1,2,6,7,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[2,3,4,6,7,8,5,1]=>[1,5,8,7,6,4,3,2]=>[8,7,5,4,3,1,2,6]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[5,4,3,2,8,7,6,1]=>[1,6,7,8,2,3,4,5]=>[1,6,7,8,2,3,4,5]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,4,3,2,7,8,6,1]=>[1,6,8,7,2,3,4,5]=>[1,2,6,8,7,3,4,5]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]
[4,5,3,2,8,7,6,1]=>[1,6,7,8,2,3,5,4]=>[6,5,7,8,1,2,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[4,5,3,2,7,8,6,1]=>[1,6,8,7,2,3,5,4]=>[8,1,6,7,5,2,3,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[3,5,4,2,8,7,6,1]=>[1,6,7,8,2,4,5,3]=>[6,4,7,8,1,2,3,5]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[4,3,5,2,8,7,6,1]=>[1,6,7,8,2,5,3,4]=>[6,7,5,8,1,2,3,4]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[4,3,5,2,7,8,6,1]=>[1,6,8,7,2,5,3,4]=>[1,8,6,7,5,2,3,4]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[3,4,5,2,7,8,6,1]=>[1,6,8,7,2,5,4,3]=>[8,6,5,7,4,1,2,3]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]
[2,5,4,3,8,7,6,1]=>[1,6,7,8,3,4,5,2]=>[6,3,7,8,1,2,4,5]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[2,5,4,3,7,8,6,1]=>[1,6,8,7,3,4,5,2]=>[8,1,6,7,3,2,4,5]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[2,4,5,3,8,7,6,1]=>[1,6,7,8,3,5,4,2]=>[6,5,3,7,1,2,4,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[2,4,5,3,7,8,6,1]=>[1,6,8,7,3,5,4,2]=>[8,6,5,7,3,1,2,4]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]
[2,3,5,4,8,7,6,1]=>[1,6,7,8,4,5,3,2]=>[6,4,3,7,1,2,5,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[2,3,5,4,7,8,6,1]=>[1,6,8,7,4,5,3,2]=>[8,6,4,7,3,1,2,5]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]
[4,3,2,5,8,7,6,1]=>[1,6,7,8,5,2,3,4]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[4,3,2,5,7,8,6,1]=>[1,6,8,7,5,2,3,4]=>[1,6,8,7,5,2,3,4]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]
[2,4,3,5,7,8,6,1]=>[1,6,8,7,5,3,4,2]=>[8,6,7,5,3,1,2,4]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]
[2,3,4,5,8,7,6,1]=>[1,6,7,8,5,4,3,2]=>[6,5,4,3,1,2,7,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[2,3,4,5,7,8,6,1]=>[1,6,8,7,5,4,3,2]=>[8,6,5,4,3,1,2,7]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[6,5,4,3,2,8,7,1]=>[1,7,8,2,3,4,5,6]=>[1,2,3,7,8,4,5,6]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[4,6,5,3,2,8,7,1]=>[1,7,8,2,3,5,6,4]=>[7,1,2,5,8,3,4,6]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[4,5,6,3,2,8,7,1]=>[1,7,8,2,3,6,5,4]=>[7,6,1,5,8,2,3,4]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[3,6,5,4,2,8,7,1]=>[1,7,8,2,4,5,6,3]=>[7,1,2,4,8,3,5,6]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[4,3,6,5,2,8,7,1]=>[1,7,8,2,5,6,3,4]=>[7,8,1,5,6,2,3,4]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,5,4,6,2,8,7,1]=>[1,7,8,2,6,4,5,3]=>[7,1,6,4,8,2,3,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[2,6,5,4,3,8,7,1]=>[1,7,8,3,4,5,6,2]=>[7,1,3,4,8,2,5,6]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[2,4,6,5,3,8,7,1]=>[1,7,8,3,5,6,4,2]=>[7,5,1,3,8,2,4,6]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[2,5,4,6,3,8,7,1]=>[1,7,8,3,6,4,5,2]=>[7,1,6,3,8,2,4,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[3,2,6,5,4,8,7,1]=>[1,7,8,4,5,6,2,3]=>[7,8,1,4,5,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,2,4,6,5,8,7,1]=>[1,7,8,5,6,4,2,3]=>[7,8,5,4,6,1,2,3]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]
[5,4,3,2,6,8,7,1]=>[1,7,8,6,2,3,4,5]=>[1,2,7,8,6,3,4,5]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,5,3,2,6,8,7,1]=>[1,7,8,6,2,3,5,4]=>[7,1,6,8,5,2,3,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[3,4,5,2,6,8,7,1]=>[1,7,8,6,2,5,4,3]=>[7,6,5,8,4,1,2,3]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]
[2,5,4,3,6,8,7,1]=>[1,7,8,6,3,4,5,2]=>[7,1,6,8,3,2,4,5]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[2,4,5,3,6,8,7,1]=>[1,7,8,6,3,5,4,2]=>[7,6,5,8,3,1,2,4]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]
[2,3,5,4,6,8,7,1]=>[1,7,8,6,4,5,3,2]=>[7,6,4,8,3,1,2,5]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]
[3,4,2,5,6,8,7,1]=>[1,7,8,6,5,2,4,3]=>[7,6,8,5,4,1,2,3]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]
[2,4,3,5,6,8,7,1]=>[1,7,8,6,5,3,4,2]=>[7,6,8,5,3,1,2,4]=>[[[[[.,.],[.,.]],.],.],[.,[.,.]]]
[3,2,4,5,6,8,7,1]=>[1,7,8,6,5,4,2,3]=>[7,8,6,5,4,1,2,3]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]
[2,3,4,5,6,8,7,1]=>[1,7,8,6,5,4,3,2]=>[7,6,5,4,3,1,2,8]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[5,7,6,4,3,2,8,1]=>[1,8,2,3,4,6,7,5]=>[8,1,2,3,4,6,5,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,7,6,5,3,2,8,1]=>[1,8,2,3,5,6,7,4]=>[8,1,2,3,5,6,4,7]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]
[4,5,7,6,3,2,8,1]=>[1,8,2,3,6,7,5,4]=>[8,6,1,2,3,5,4,7]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[3,7,6,5,4,2,8,1]=>[1,8,2,4,5,6,7,3]=>[8,1,2,4,5,6,3,7]=>[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]
[3,6,7,5,4,2,8,1]=>[1,8,2,4,5,7,6,3]=>[8,7,1,2,4,5,3,6]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]
[3,6,5,7,4,2,8,1]=>[1,8,2,4,7,5,6,3]=>[8,1,7,2,4,5,3,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[3,5,6,7,4,2,8,1]=>[1,8,2,4,7,6,5,3]=>[8,7,6,1,2,4,3,5]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[4,3,6,7,5,2,8,1]=>[1,8,2,5,7,6,3,4]=>[5,8,7,1,2,6,3,4]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[3,4,6,7,5,2,8,1]=>[1,8,2,5,7,6,4,3]=>[8,7,5,1,2,4,3,6]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[5,4,3,7,6,2,8,1]=>[1,8,2,6,7,3,4,5]=>[1,6,8,2,3,7,4,5]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[3,4,5,7,6,2,8,1]=>[1,8,2,6,7,5,4,3]=>[8,6,5,1,2,4,3,7]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[4,6,5,3,7,2,8,1]=>[1,8,2,7,3,5,6,4]=>[8,1,2,7,3,5,4,6]=>[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]
[3,6,5,4,7,2,8,1]=>[1,8,2,7,4,5,6,3]=>[8,1,2,7,4,5,3,6]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]
[4,3,6,5,7,2,8,1]=>[1,8,2,7,5,6,3,4]=>[5,8,1,7,2,6,3,4]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[3,5,4,6,7,2,8,1]=>[1,8,2,7,6,4,5,3]=>[8,1,7,6,2,4,3,5]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[2,4,6,7,5,3,8,1]=>[1,8,3,5,7,6,4,2]=>[8,7,5,1,3,4,2,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[2,5,4,7,6,3,8,1]=>[1,8,3,6,7,4,5,2]=>[8,6,7,1,3,4,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[2,4,5,7,6,3,8,1]=>[1,8,3,6,7,5,4,2]=>[8,6,5,1,3,4,2,7]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[2,5,4,6,7,3,8,1]=>[1,8,3,7,6,4,5,2]=>[8,1,7,6,3,4,2,5]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[2,4,5,6,7,3,8,1]=>[1,8,3,7,6,5,4,2]=>[8,7,6,5,1,3,2,4]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[3,2,7,6,5,4,8,1]=>[1,8,4,5,6,7,2,3]=>[4,8,1,2,5,6,3,7]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[3,2,6,7,5,4,8,1]=>[1,8,4,5,7,6,2,3]=>[4,8,7,1,2,5,3,6]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[3,2,6,5,7,4,8,1]=>[1,8,4,7,5,6,2,3]=>[4,8,1,7,2,5,3,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[2,3,7,6,5,4,8,1]=>[1,8,4,5,6,7,3,2]=>[8,4,1,3,5,6,2,7]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[2,3,5,7,6,4,8,1]=>[1,8,4,6,7,5,3,2]=>[8,6,4,1,3,5,2,7]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[2,3,5,6,7,4,8,1]=>[1,8,4,7,6,5,3,2]=>[8,7,6,4,1,3,2,5]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[4,3,2,6,7,5,8,1]=>[1,8,5,7,6,2,3,4]=>[1,5,8,7,2,6,3,4]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[3,4,2,7,6,5,8,1]=>[1,8,5,6,7,2,4,3]=>[8,5,6,1,2,4,3,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[3,4,2,6,7,5,8,1]=>[1,8,5,7,6,2,4,3]=>[8,5,7,6,1,4,2,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[3,2,4,7,6,5,8,1]=>[1,8,5,6,7,4,2,3]=>[5,8,6,1,2,4,3,7]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[2,3,4,7,6,5,8,1]=>[1,8,5,6,7,4,3,2]=>[8,5,4,1,3,6,2,7]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[5,4,3,2,7,6,8,1]=>[1,8,6,7,2,3,4,5]=>[1,2,6,8,3,7,4,5]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[4,3,5,2,7,6,8,1]=>[1,8,6,7,2,5,3,4]=>[1,8,6,7,2,5,3,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,4,5,2,7,6,8,1]=>[1,8,6,7,2,5,4,3]=>[8,6,5,7,1,4,2,3]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[2,5,4,3,7,6,8,1]=>[1,8,6,7,3,4,5,2]=>[8,1,6,7,3,4,2,5]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[3,2,5,4,7,6,8,1]=>[1,8,6,7,4,5,2,3]=>[6,8,4,7,1,5,2,3]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,3,5,4,7,6,8,1]=>[1,8,6,7,4,5,3,2]=>[8,6,4,7,1,3,2,5]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[4,3,2,5,7,6,8,1]=>[1,8,6,7,5,2,3,4]=>[1,6,8,7,2,5,3,4]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[2,4,3,5,7,6,8,1]=>[1,8,6,7,5,3,4,2]=>[8,6,7,5,1,3,2,4]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[2,3,4,5,7,6,8,1]=>[1,8,6,7,5,4,3,2]=>[8,6,5,4,1,3,2,7]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[4,6,5,3,2,7,8,1]=>[1,8,7,2,3,5,6,4]=>[8,1,2,3,7,5,4,6]=>[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]
[3,4,6,5,2,7,8,1]=>[1,8,7,2,5,6,4,3]=>[8,7,1,2,5,4,3,6]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[3,5,4,6,2,7,8,1]=>[1,8,7,2,6,4,5,3]=>[8,1,7,2,6,4,3,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[2,4,5,6,3,7,8,1]=>[1,8,7,3,6,5,4,2]=>[8,7,6,1,5,3,2,4]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[3,2,6,5,4,7,8,1]=>[1,8,7,4,5,6,2,3]=>[4,8,1,2,7,5,3,6]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]
[2,3,6,5,4,7,8,1]=>[1,8,7,4,5,6,3,2]=>[8,7,1,4,5,3,2,6]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[2,3,5,6,4,7,8,1]=>[1,8,7,4,6,5,3,2]=>[8,7,6,1,4,3,2,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[4,3,2,6,5,7,8,1]=>[1,8,7,5,6,2,3,4]=>[1,5,8,2,7,6,3,4]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[2,4,3,6,5,7,8,1]=>[1,8,7,5,6,3,4,2]=>[8,5,7,1,6,3,2,4]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[3,2,4,6,5,7,8,1]=>[1,8,7,5,6,4,2,3]=>[5,8,7,1,6,4,2,3]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[2,3,4,6,5,7,8,1]=>[1,8,7,5,6,4,3,2]=>[8,7,5,1,4,3,2,6]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[2,5,4,3,6,7,8,1]=>[1,8,7,6,3,4,5,2]=>[8,1,3,7,6,4,2,5]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]
[3,2,5,4,6,7,8,1]=>[1,8,7,6,4,5,2,3]=>[4,8,1,7,6,5,2,3]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[2,3,5,4,6,7,8,1]=>[1,8,7,6,4,5,3,2]=>[8,7,1,6,4,3,2,5]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[2,4,3,5,6,7,8,1]=>[1,8,7,6,5,3,4,2]=>[8,1,7,6,5,3,2,4]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[2,1,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,8,6,5,4,3,2]=>[2,3,4,5,6,8,7,1]=>[8,2,1,3,4,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,8,7,5,4,3,2]=>[2,3,4,5,7,8,6,1]=>[7,2,1,3,4,5,6,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,8,5,4,3,2]=>[2,3,4,5,8,6,7,1]=>[8,2,3,1,4,5,6,7]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,6,7,8,5,4,3,2]=>[2,3,4,5,8,7,6,1]=>[8,7,2,1,3,4,5,6]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,6,5,8,7,4,3,2]=>[2,3,4,7,8,5,6,1]=>[7,2,8,1,3,4,5,6]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,7,6,5,8,4,3,2]=>[2,3,4,8,5,6,7,1]=>[8,2,3,4,1,5,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[1,6,7,5,8,4,3,2]=>[2,3,4,8,5,7,6,1]=>[8,7,2,3,1,4,5,6]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[1,6,5,7,8,4,3,2]=>[2,3,4,8,7,5,6,1]=>[8,2,7,3,1,4,5,6]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[1,5,6,7,8,4,3,2]=>[2,3,4,8,7,6,5,1]=>[8,7,6,2,1,3,4,5]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[1,4,8,7,6,5,3,2]=>[2,3,5,6,7,8,4,1]=>[5,2,1,3,4,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,7,8,6,5,3,2]=>[2,3,5,6,8,7,4,1]=>[8,5,2,1,3,4,6,7]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,5,4,7,8,6,3,2]=>[2,3,6,8,7,4,5,1]=>[8,6,7,2,1,3,4,5]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[1,7,6,5,4,8,3,2]=>[2,3,8,4,5,6,7,1]=>[8,2,3,4,5,1,6,7]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[1,5,7,6,4,8,3,2]=>[2,3,8,4,6,7,5,1]=>[8,6,2,3,4,1,5,7]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[1,6,5,7,4,8,3,2]=>[2,3,8,4,7,5,6,1]=>[8,2,7,3,4,1,5,6]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[1,4,7,6,5,8,3,2]=>[2,3,8,5,6,7,4,1]=>[8,5,2,3,4,1,6,7]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[1,4,5,6,7,8,3,2]=>[2,3,8,7,6,5,4,1]=>[8,7,6,5,2,1,3,4]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[1,3,8,7,6,5,4,2]=>[2,4,5,6,7,8,3,1]=>[4,2,1,3,5,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,3,7,8,6,5,4,2]=>[2,4,5,6,8,7,3,1]=>[8,4,2,1,3,5,6,7]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,3,5,8,7,6,4,2]=>[2,4,6,7,8,5,3,1]=>[6,4,2,1,3,5,7,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,3,5,7,8,6,4,2]=>[2,4,6,8,7,5,3,1]=>[8,6,4,2,1,3,5,7]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[1,3,6,5,8,7,4,2]=>[2,4,7,8,5,6,3,1]=>[7,4,2,8,1,3,5,6]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[1,3,5,6,8,7,4,2]=>[2,4,7,8,6,5,3,1]=>[7,6,4,2,1,3,5,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[1,3,7,6,5,8,4,2]=>[2,4,8,5,6,7,3,1]=>[8,4,2,3,5,1,6,7]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[1,3,5,7,6,8,4,2]=>[2,4,8,6,7,5,3,1]=>[8,6,4,2,3,1,5,7]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[1,3,6,5,7,8,4,2]=>[2,4,8,7,5,6,3,1]=>[8,7,2,4,3,1,5,6]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[1,3,5,6,7,8,4,2]=>[2,4,8,7,6,5,3,1]=>[8,7,6,4,2,1,3,5]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[1,4,3,7,8,6,5,2]=>[2,5,6,8,7,3,4,1]=>[8,5,6,2,1,3,4,7]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[1,4,3,6,8,7,5,2]=>[2,5,7,8,6,3,4,1]=>[7,5,6,2,1,3,4,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[1,4,3,7,6,8,5,2]=>[2,5,8,6,7,3,4,1]=>[8,5,6,2,3,1,4,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[1,3,4,8,7,6,5,2]=>[2,5,6,7,8,4,3,1]=>[5,4,2,1,3,6,7,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,3,5,4,8,7,6,2]=>[2,6,7,8,4,5,3,1]=>[6,4,2,7,1,3,5,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[1,3,5,4,7,8,6,2]=>[2,6,8,7,4,5,3,1]=>[8,6,4,7,2,1,3,5]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]
[1,3,4,5,8,7,6,2]=>[2,6,7,8,5,4,3,1]=>[6,5,4,2,1,3,7,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[1,3,4,5,7,8,6,2]=>[2,6,8,7,5,4,3,1]=>[8,6,5,4,2,1,3,7]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[1,6,5,4,3,8,7,2]=>[2,7,8,3,4,5,6,1]=>[7,2,3,4,8,1,5,6]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[1,5,6,4,3,8,7,2]=>[2,7,8,3,4,6,5,1]=>[7,6,2,3,8,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[1,4,3,6,5,8,7,2]=>[2,7,8,5,6,3,4,1]=>[7,5,8,2,6,1,3,4]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[1,4,5,3,6,8,7,2]=>[2,7,8,6,3,5,4,1]=>[7,6,5,8,2,1,3,4]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]
[1,3,4,5,6,8,7,2]=>[2,7,8,6,5,4,3,1]=>[7,6,5,4,2,1,3,8]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[1,7,6,5,4,3,8,2]=>[2,8,3,4,5,6,7,1]=>[8,2,3,4,5,6,1,7]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[1,6,7,5,4,3,8,2]=>[2,8,3,4,5,7,6,1]=>[8,7,2,3,4,5,1,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[1,6,5,7,4,3,8,2]=>[2,8,3,4,7,5,6,1]=>[8,2,7,3,4,5,1,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[1,4,7,6,5,3,8,2]=>[2,8,3,5,6,7,4,1]=>[8,5,2,3,4,6,1,7]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[1,5,4,7,6,3,8,2]=>[2,8,3,6,7,4,5,1]=>[8,6,7,2,3,4,1,5]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[1,4,5,7,6,3,8,2]=>[2,8,3,6,7,5,4,1]=>[8,6,5,2,3,4,1,7]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[1,6,5,4,7,3,8,2]=>[2,8,3,7,4,5,6,1]=>[8,2,3,7,4,5,1,6]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]
[1,5,6,4,7,3,8,2]=>[2,8,3,7,4,6,5,1]=>[8,7,2,6,3,4,1,5]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[1,4,5,6,7,3,8,2]=>[2,8,3,7,6,5,4,1]=>[8,7,6,5,2,3,1,4]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[1,3,5,7,6,4,8,2]=>[2,8,4,6,7,5,3,1]=>[8,6,4,2,3,5,1,7]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[1,3,5,6,7,4,8,2]=>[2,8,4,7,6,5,3,1]=>[8,7,6,4,2,3,1,5]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[1,4,3,6,7,5,8,2]=>[2,8,5,7,6,3,4,1]=>[8,5,7,6,2,3,1,4]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[1,3,4,7,6,5,8,2]=>[2,8,5,6,7,4,3,1]=>[8,5,4,2,3,6,1,7]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[1,3,5,4,7,6,8,2]=>[2,8,6,7,4,5,3,1]=>[8,6,4,7,2,3,1,5]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[1,4,3,5,7,6,8,2]=>[2,8,6,7,5,3,4,1]=>[8,6,7,5,2,3,1,4]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]
[1,3,4,5,7,6,8,2]=>[2,8,6,7,5,4,3,1]=>[8,6,5,4,2,3,1,7]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[1,6,5,4,3,7,8,2]=>[2,8,7,3,4,5,6,1]=>[8,2,3,4,7,5,1,6]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[1,3,6,5,4,7,8,2]=>[2,8,7,4,5,6,3,1]=>[8,7,2,4,5,3,1,6]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]
[1,3,5,6,4,7,8,2]=>[2,8,7,4,6,5,3,1]=>[8,7,6,2,4,3,1,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[1,4,3,6,5,7,8,2]=>[2,8,7,5,6,3,4,1]=>[8,5,7,2,6,3,1,4]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[1,3,4,5,6,7,8,2]=>[2,8,7,6,5,4,3,1]=>[8,7,6,5,4,2,1,3]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]
[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[3,4,1,2,5,6,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,6,7,8,5,4,3]=>[3,4,5,8,7,6,1,2]=>[3,8,7,4,1,2,5,6]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]
[2,1,6,5,8,7,4,3]=>[3,4,7,8,5,6,1,2]=>[7,8,3,4,1,2,5,6]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[2,1,6,7,5,8,4,3]=>[3,4,8,5,7,6,1,2]=>[3,8,7,1,4,2,5,6]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[2,1,5,6,7,8,4,3]=>[3,4,8,7,6,5,1,2]=>[3,8,7,6,4,1,2,5]=>[[.,[[[[.,.],.],.],.]],[.,[.,.]]]
[2,1,4,8,7,6,5,3]=>[3,5,6,7,8,4,1,2]=>[3,5,4,1,2,6,7,8]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]
[2,1,4,6,8,7,5,3]=>[3,5,7,8,6,4,1,2]=>[3,7,5,4,1,2,6,8]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]
[2,1,4,7,6,8,5,3]=>[3,5,8,6,7,4,1,2]=>[3,8,5,1,4,2,6,7]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[2,1,4,6,7,8,5,3]=>[3,5,8,7,6,4,1,2]=>[3,8,7,5,4,1,2,6]=>[[.,[[[[.,.],.],.],.]],[.,[.,.]]]
[2,1,4,5,7,8,6,3]=>[3,6,8,7,5,4,1,2]=>[3,8,6,5,4,1,2,7]=>[[.,[[[[.,.],.],.],.]],[.,[.,.]]]
[2,1,6,5,4,8,7,3]=>[3,7,8,4,5,6,1,2]=>[7,8,3,4,5,1,2,6]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[2,1,6,5,7,4,8,3]=>[3,8,4,7,5,6,1,2]=>[3,8,1,7,4,5,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,1,5,6,7,4,8,3]=>[3,8,4,7,6,5,1,2]=>[3,8,7,6,1,4,2,5]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[2,1,5,4,7,6,8,3]=>[3,8,6,7,4,5,1,2]=>[6,8,3,7,1,4,2,5]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,1,4,5,7,6,8,3]=>[3,8,6,7,5,4,1,2]=>[3,8,6,5,1,4,2,7]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[2,1,6,5,4,7,8,3]=>[3,8,7,4,5,6,1,2]=>[3,8,1,4,7,5,2,6]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]
[2,1,4,6,5,7,8,3]=>[3,8,7,5,6,4,1,2]=>[3,8,7,1,5,4,2,6]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[2,1,5,4,6,7,8,3]=>[3,8,7,6,4,5,1,2]=>[3,8,1,7,6,4,2,5]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[2,1,4,5,6,7,8,3]=>[3,8,7,6,5,4,1,2]=>[3,8,7,6,5,4,1,2]=>[[.,[[[[[.,.],.],.],.],.]],[.,.]]
[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[3,2,1,4,5,6,7,8]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,7,8,6,5,4,3]=>[3,4,5,6,8,7,2,1]=>[8,3,2,1,4,5,6,7]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,6,8,7,5,4,3]=>[3,4,5,7,8,6,2,1]=>[7,3,2,1,4,5,6,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,6,7,8,5,4,3]=>[3,4,5,8,7,6,2,1]=>[8,7,3,2,1,4,5,6]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[1,2,6,5,7,8,4,3]=>[3,4,8,7,5,6,2,1]=>[8,7,3,4,2,1,5,6]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]
[1,2,5,6,7,8,4,3]=>[3,4,8,7,6,5,2,1]=>[8,7,6,3,2,1,4,5]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[1,2,4,8,7,6,5,3]=>[3,5,6,7,8,4,2,1]=>[5,3,2,1,4,6,7,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,4,7,8,6,5,3]=>[3,5,6,8,7,4,2,1]=>[8,5,3,2,1,4,6,7]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[1,2,4,6,8,7,5,3]=>[3,5,7,8,6,4,2,1]=>[7,5,3,2,1,4,6,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[1,2,4,6,7,8,5,3]=>[3,5,8,7,6,4,2,1]=>[8,7,5,3,2,1,4,6]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[1,2,5,4,8,7,6,3]=>[3,6,7,8,4,5,2,1]=>[6,3,2,7,1,4,5,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[1,2,4,5,7,8,6,3]=>[3,6,8,7,5,4,2,1]=>[8,6,5,3,2,1,4,7]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[1,2,4,6,5,8,7,3]=>[3,7,8,5,6,4,2,1]=>[7,5,3,2,8,1,4,6]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[1,2,4,5,6,8,7,3]=>[3,7,8,6,5,4,2,1]=>[7,6,5,3,2,1,4,8]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[1,2,7,6,5,4,8,3]=>[3,8,4,5,6,7,2,1]=>[8,3,2,4,5,6,1,7]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[1,2,6,5,7,4,8,3]=>[3,8,4,7,5,6,2,1]=>[8,7,3,4,2,5,1,6]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[1,2,5,6,7,4,8,3]=>[3,8,4,7,6,5,2,1]=>[8,7,6,3,2,4,1,5]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[1,2,4,6,7,5,8,3]=>[3,8,5,7,6,4,2,1]=>[8,7,5,3,2,4,1,6]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[1,2,4,5,7,6,8,3]=>[3,8,6,7,5,4,2,1]=>[8,6,5,3,2,4,1,7]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[1,2,6,5,4,7,8,3]=>[3,8,7,4,5,6,2,1]=>[8,7,3,4,5,2,1,6]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]
[1,2,4,6,5,7,8,3]=>[3,8,7,5,6,4,2,1]=>[8,7,5,3,4,2,1,6]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]
[1,2,5,4,6,7,8,3]=>[3,8,7,6,4,5,2,1]=>[8,7,3,6,4,2,1,5]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]
[1,2,4,5,6,7,8,3]=>[3,8,7,6,5,4,2,1]=>[8,7,6,5,3,2,1,4]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]
[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[4,5,6,1,2,3,7,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,1,7,6,8,5,4]=>[4,5,8,6,7,1,2,3]=>[4,5,8,1,6,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[3,2,1,6,7,8,5,4]=>[4,5,8,7,6,1,2,3]=>[4,5,8,7,6,1,2,3]=>[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]
[3,2,1,5,7,8,6,4]=>[4,6,8,7,5,1,2,3]=>[4,6,8,7,5,1,2,3]=>[[.,[[.,[[.,.],.]],.]],[.,[.,.]]]
[3,2,1,6,5,8,7,4]=>[4,7,8,5,6,1,2,3]=>[4,7,8,5,6,1,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[3,2,1,5,6,8,7,4]=>[4,7,8,6,5,1,2,3]=>[4,7,8,6,5,1,2,3]=>[[.,[[[.,[.,.]],.],.]],[.,[.,.]]]
[3,2,1,7,6,5,8,4]=>[4,8,5,6,7,1,2,3]=>[4,5,8,1,2,6,3,7]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[3,2,1,6,7,5,8,4]=>[4,8,5,7,6,1,2,3]=>[4,5,8,7,1,6,2,3]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]
[3,2,1,6,5,7,8,4]=>[4,8,7,5,6,1,2,3]=>[4,5,8,1,7,6,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[2,3,1,8,7,6,5,4]=>[4,5,6,7,8,1,3,2]=>[4,3,5,1,2,6,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[2,3,1,7,6,8,5,4]=>[4,5,8,6,7,1,3,2]=>[8,4,5,1,3,2,6,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[2,3,1,6,5,8,7,4]=>[4,7,8,5,6,1,3,2]=>[7,4,8,3,5,1,2,6]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[2,3,1,6,7,5,8,4]=>[4,8,5,7,6,1,3,2]=>[8,4,7,5,1,3,2,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[2,3,1,5,7,6,8,4]=>[4,8,6,7,5,1,3,2]=>[8,4,6,5,1,3,2,7]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[2,3,1,5,6,7,8,4]=>[4,8,7,6,5,1,3,2]=>[8,4,7,6,5,3,1,2]=>[[[[.,.],[[[.,.],.],.]],.],[.,.]]
[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]=>[4,2,5,1,3,6,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,3,2,7,6,8,5,4]=>[4,5,8,6,7,2,3,1]=>[8,4,5,2,3,1,6,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[1,3,2,5,8,7,6,4]=>[4,6,7,8,5,2,3,1]=>[6,4,5,2,1,3,7,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[1,3,2,7,6,5,8,4]=>[4,8,5,6,7,2,3,1]=>[8,4,5,2,3,6,1,7]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[1,3,2,6,5,7,8,4]=>[4,8,7,5,6,2,3,1]=>[8,4,7,2,5,3,1,6]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[1,3,2,5,6,7,8,4]=>[4,8,7,6,5,2,3,1]=>[8,4,7,6,5,2,1,3]=>[[[[.,.],[[[.,.],.],.]],.],[.,.]]
[2,1,3,7,8,6,5,4]=>[4,5,6,8,7,3,1,2]=>[4,8,5,3,1,2,6,7]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]
[2,1,3,6,7,8,5,4]=>[4,5,8,7,6,3,1,2]=>[4,8,7,5,3,1,2,6]=>[[[.,[[[.,.],.],.]],.],[.,[.,.]]]
[2,1,3,6,7,5,8,4]=>[4,8,5,7,6,3,1,2]=>[4,8,7,5,1,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[2,1,3,5,6,7,8,4]=>[4,8,7,6,5,3,1,2]=>[4,8,7,6,5,3,1,2]=>[[[.,[[[[.,.],.],.],.]],.],[.,.]]
[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[4,3,2,1,5,6,7,8]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,7,8,6,5,4]=>[4,5,6,8,7,3,2,1]=>[8,4,3,2,1,5,6,7]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[1,2,3,6,8,7,5,4]=>[4,5,7,8,6,3,2,1]=>[7,4,3,2,1,5,6,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[1,2,3,6,7,8,5,4]=>[4,5,8,7,6,3,2,1]=>[8,7,4,3,2,1,5,6]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[1,2,3,5,8,7,6,4]=>[4,6,7,8,5,3,2,1]=>[6,4,3,2,1,5,7,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[1,2,3,5,7,8,6,4]=>[4,6,8,7,5,3,2,1]=>[8,6,4,3,2,1,5,7]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[1,2,3,5,6,8,7,4]=>[4,7,8,6,5,3,2,1]=>[7,6,4,3,2,1,5,8]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[1,2,3,6,7,5,8,4]=>[4,8,5,7,6,3,2,1]=>[8,7,4,3,2,5,1,6]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[1,2,3,5,6,7,8,4]=>[4,8,7,6,5,3,2,1]=>[8,7,6,4,3,2,1,5]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]
[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[4,3,2,1,7,8,6,5]=>[5,6,8,7,1,2,3,4]=>[1,5,6,8,7,2,3,4]=>[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]
[4,3,2,1,6,8,7,5]=>[5,7,8,6,1,2,3,4]=>[1,5,7,8,6,2,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]
[4,3,2,1,7,6,8,5]=>[5,8,6,7,1,2,3,4]=>[1,5,6,8,2,7,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,3,2,1,6,7,8,5]=>[5,8,7,6,1,2,3,4]=>[1,2,5,8,7,6,3,4]=>[.,[.,[[.,[[[.,.],.],.]],[.,.]]]]
[3,4,2,1,8,7,6,5]=>[5,6,7,8,1,2,4,3]=>[5,4,6,7,1,2,3,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[3,4,2,1,7,8,6,5]=>[5,6,8,7,1,2,4,3]=>[8,5,6,7,4,1,2,3]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[3,4,2,1,6,8,7,5]=>[5,7,8,6,1,2,4,3]=>[7,5,6,8,4,1,2,3]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[3,4,2,1,7,6,8,5]=>[5,8,6,7,1,2,4,3]=>[8,5,6,7,1,4,2,3]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[2,4,3,1,8,7,6,5]=>[5,6,7,8,1,3,4,2]=>[5,3,6,7,1,2,4,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[2,4,3,1,6,8,7,5]=>[5,7,8,6,1,3,4,2]=>[7,5,6,8,3,1,2,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[2,4,3,1,7,6,8,5]=>[5,8,6,7,1,3,4,2]=>[8,5,6,7,1,3,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[2,4,3,1,6,7,8,5]=>[5,8,7,6,1,3,4,2]=>[8,1,5,7,6,3,2,4]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[3,2,4,1,8,7,6,5]=>[5,6,7,8,1,4,2,3]=>[5,6,4,7,1,2,3,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[3,2,4,1,7,8,6,5]=>[5,6,8,7,1,4,2,3]=>[5,8,6,7,4,1,2,3]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[3,2,4,1,6,8,7,5]=>[5,7,8,6,1,4,2,3]=>[5,7,6,8,4,1,2,3]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[3,2,4,1,7,6,8,5]=>[5,8,6,7,1,4,2,3]=>[5,8,6,7,1,4,2,3]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[2,3,4,1,8,7,6,5]=>[5,6,7,8,1,4,3,2]=>[5,4,3,6,1,2,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[2,3,4,1,6,7,8,5]=>[5,8,7,6,1,4,3,2]=>[8,7,5,6,4,3,1,2]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]
[1,4,3,2,8,7,6,5]=>[5,6,7,8,2,3,4,1]=>[5,2,6,7,1,3,4,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[1,4,3,2,6,8,7,5]=>[5,7,8,6,2,3,4,1]=>[7,5,6,8,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[1,4,3,2,7,6,8,5]=>[5,8,6,7,2,3,4,1]=>[8,5,6,7,2,3,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]
[1,4,3,2,6,7,8,5]=>[5,8,7,6,2,3,4,1]=>[8,2,5,7,6,3,1,4]=>[[[.,.],[[.,[[.,.],.]],.]],[.,.]]
[1,3,4,2,8,7,6,5]=>[5,6,7,8,2,4,3,1]=>[5,4,2,6,1,3,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[1,3,4,2,6,7,8,5]=>[5,8,7,6,2,4,3,1]=>[8,7,5,6,4,2,1,3]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]
[2,1,4,3,8,7,6,5]=>[5,6,7,8,3,4,1,2]=>[5,6,3,4,1,2,7,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[2,1,4,3,7,8,6,5]=>[5,6,8,7,3,4,1,2]=>[5,8,3,6,4,1,2,7]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]
[2,1,4,3,6,8,7,5]=>[5,7,8,6,3,4,1,2]=>[5,7,3,6,4,1,2,8]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]
[2,1,4,3,7,6,8,5]=>[5,8,6,7,3,4,1,2]=>[5,8,3,6,1,4,2,7]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,1,4,3,6,7,8,5]=>[5,8,7,6,3,4,1,2]=>[5,8,3,7,6,4,1,2]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]
[1,2,4,3,8,7,6,5]=>[5,6,7,8,3,4,2,1]=>[5,3,2,6,1,4,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[1,2,4,3,6,8,7,5]=>[5,7,8,6,3,4,2,1]=>[7,5,3,6,2,1,4,8]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]
[1,2,4,3,7,6,8,5]=>[5,8,6,7,3,4,2,1]=>[8,5,3,6,2,4,1,7]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[1,2,4,3,6,7,8,5]=>[5,8,7,6,3,4,2,1]=>[8,7,5,6,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]
[3,2,1,4,8,7,6,5]=>[5,6,7,8,4,1,2,3]=>[5,6,7,4,1,2,3,8]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[3,2,1,4,7,8,6,5]=>[5,6,8,7,4,1,2,3]=>[5,6,8,7,4,1,2,3]=>[[[.,[.,[[.,.],.]]],.],[.,[.,.]]]
[3,2,1,4,6,8,7,5]=>[5,7,8,6,4,1,2,3]=>[5,7,8,6,4,1,2,3]=>[[[.,[[.,[.,.]],.]],.],[.,[.,.]]]
[3,2,1,4,7,6,8,5]=>[5,8,6,7,4,1,2,3]=>[5,6,8,7,1,4,2,3]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]
[2,3,1,4,8,7,6,5]=>[5,6,7,8,4,1,3,2]=>[5,4,6,3,1,2,7,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[2,3,1,4,7,6,8,5]=>[5,8,6,7,4,1,3,2]=>[8,5,6,4,1,3,2,7]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[2,3,1,4,6,7,8,5]=>[5,8,7,6,4,1,3,2]=>[8,5,7,6,4,3,1,2]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]
[1,3,2,4,8,7,6,5]=>[5,6,7,8,4,2,3,1]=>[5,4,6,2,1,3,7,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[1,3,2,4,7,6,8,5]=>[5,8,6,7,4,2,3,1]=>[8,5,6,4,2,3,1,7]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]
[1,3,2,4,6,7,8,5]=>[5,8,7,6,4,2,3,1]=>[8,5,7,6,4,2,1,3]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]
[2,1,3,4,8,7,6,5]=>[5,6,7,8,4,3,1,2]=>[5,6,4,3,1,2,7,8]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[2,1,3,4,7,6,8,5]=>[5,8,6,7,4,3,1,2]=>[5,8,6,4,1,3,2,7]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]
[2,1,3,4,6,7,8,5]=>[5,8,7,6,4,3,1,2]=>[5,8,7,6,4,3,1,2]=>[[[[.,[[[.,.],.],.]],.],.],[.,.]]
[1,2,3,4,8,7,6,5]=>[5,6,7,8,4,3,2,1]=>[5,4,3,2,1,6,7,8]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[1,2,3,4,7,8,6,5]=>[5,6,8,7,4,3,2,1]=>[8,5,4,3,2,1,6,7]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[1,2,3,4,6,8,7,5]=>[5,7,8,6,4,3,2,1]=>[7,5,4,3,2,1,6,8]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[1,2,3,4,7,6,8,5]=>[5,8,6,7,4,3,2,1]=>[8,5,4,3,2,6,1,7]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[1,2,3,4,6,7,8,5]=>[5,8,7,6,4,3,2,1]=>[8,7,5,4,3,2,1,6]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]
[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[1,2,6,7,8,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,4,3,2,1,7,8,6]=>[6,8,7,1,2,3,4,5]=>[1,2,3,6,8,7,4,5]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]
[4,5,3,2,1,8,7,6]=>[6,7,8,1,2,3,5,4]=>[6,1,5,7,8,2,3,4]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[3,5,4,2,1,8,7,6]=>[6,7,8,1,2,4,5,3]=>[6,1,4,7,8,2,3,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[4,3,5,2,1,8,7,6]=>[6,7,8,1,2,5,3,4]=>[1,6,5,7,8,2,3,4]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[3,4,5,2,1,8,7,6]=>[6,7,8,1,2,5,4,3]=>[6,5,4,7,8,1,2,3]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[2,5,4,3,1,7,8,6]=>[6,8,7,1,3,4,5,2]=>[8,1,3,6,7,4,2,5]=>[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]
[2,4,5,3,1,7,8,6]=>[6,8,7,1,3,5,4,2]=>[8,6,1,5,7,3,2,4]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[3,2,5,4,1,8,7,6]=>[6,7,8,1,4,5,2,3]=>[6,7,4,5,8,1,2,3]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[3,2,5,4,1,7,8,6]=>[6,8,7,1,4,5,2,3]=>[6,8,1,4,7,5,2,3]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]
[2,3,5,4,1,8,7,6]=>[6,7,8,1,4,5,3,2]=>[6,4,3,7,8,1,2,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[4,3,2,5,1,8,7,6]=>[6,7,8,1,5,2,3,4]=>[1,6,7,5,8,2,3,4]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,3,2,5,1,7,8,6]=>[6,8,7,1,5,2,3,4]=>[1,2,8,6,7,5,3,4]=>[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]
[3,4,2,5,1,8,7,6]=>[6,7,8,1,5,2,4,3]=>[6,5,7,4,8,1,2,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[3,2,4,5,1,8,7,6]=>[6,7,8,1,5,4,2,3]=>[6,7,5,4,8,1,2,3]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]
[2,3,4,5,1,8,7,6]=>[6,7,8,1,5,4,3,2]=>[6,5,4,3,7,1,2,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[1,5,4,3,2,8,7,6]=>[6,7,8,2,3,4,5,1]=>[6,2,3,7,8,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[1,4,5,3,2,7,8,6]=>[6,8,7,2,3,5,4,1]=>[8,6,2,5,7,3,1,4]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]
[1,3,5,4,2,8,7,6]=>[6,7,8,2,4,5,3,1]=>[6,4,2,7,8,1,3,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[1,3,5,4,2,7,8,6]=>[6,8,7,2,4,5,3,1]=>[8,6,2,4,7,3,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]
[1,3,4,5,2,8,7,6]=>[6,7,8,2,5,4,3,1]=>[6,5,4,2,7,1,3,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[1,2,5,4,3,8,7,6]=>[6,7,8,3,4,5,2,1]=>[6,3,2,7,8,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[1,2,5,4,3,7,8,6]=>[6,8,7,3,4,5,2,1]=>[8,6,3,4,7,2,1,5]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]
[1,2,4,5,3,8,7,6]=>[6,7,8,3,5,4,2,1]=>[6,5,3,2,7,1,4,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[1,2,4,5,3,7,8,6]=>[6,8,7,3,5,4,2,1]=>[8,6,5,3,7,2,1,4]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]
[3,2,1,5,4,8,7,6]=>[6,7,8,4,5,1,2,3]=>[6,7,8,4,5,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[2,3,1,5,4,7,8,6]=>[6,8,7,4,5,1,3,2]=>[8,6,7,4,5,3,1,2]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]
[2,1,3,5,4,7,8,6]=>[6,8,7,4,5,3,1,2]=>[6,8,7,4,5,3,1,2]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]]
[1,2,3,5,4,7,8,6]=>[6,8,7,4,5,3,2,1]=>[8,6,4,3,7,2,1,5]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]
[4,3,2,1,5,8,7,6]=>[6,7,8,5,1,2,3,4]=>[1,6,7,8,5,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]
[4,3,2,1,5,7,8,6]=>[6,8,7,5,1,2,3,4]=>[1,2,6,8,7,5,3,4]=>[.,[.,[[[.,[[.,.],.]],.],[.,.]]]]
[3,4,2,1,5,8,7,6]=>[6,7,8,5,1,2,4,3]=>[6,5,7,8,4,1,2,3]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[3,4,2,1,5,7,8,6]=>[6,8,7,5,1,2,4,3]=>[8,1,6,7,5,4,2,3]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[2,4,3,1,5,7,8,6]=>[6,8,7,5,1,3,4,2]=>[8,1,6,7,5,3,2,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[3,2,4,1,5,8,7,6]=>[6,7,8,5,1,4,2,3]=>[6,7,5,8,4,1,2,3]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]
[3,2,4,1,5,7,8,6]=>[6,8,7,5,1,4,2,3]=>[1,8,6,7,5,4,2,3]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[2,3,4,1,5,7,8,6]=>[6,8,7,5,1,4,3,2]=>[8,6,5,7,4,3,1,2]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]
[1,4,3,2,5,8,7,6]=>[6,7,8,5,2,3,4,1]=>[6,5,7,8,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[2,1,4,3,5,8,7,6]=>[6,7,8,5,3,4,1,2]=>[6,7,3,5,4,1,2,8]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]
[2,1,4,3,5,7,8,6]=>[6,8,7,5,3,4,1,2]=>[6,8,3,7,5,4,1,2]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]
[1,2,4,3,5,7,8,6]=>[6,8,7,5,3,4,2,1]=>[8,6,5,7,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]
[3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>[6,7,8,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]
[2,3,1,4,5,7,8,6]=>[6,8,7,5,4,1,3,2]=>[8,6,7,5,4,3,1,2]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]
[2,1,3,4,5,8,7,6]=>[6,7,8,5,4,3,1,2]=>[6,7,5,4,3,1,2,8]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]
[2,1,3,4,5,7,8,6]=>[6,8,7,5,4,3,1,2]=>[6,8,7,5,4,3,1,2]=>[[[[[.,[[.,.],.]],.],.],.],[.,.]]
[1,2,3,4,5,8,7,6]=>[6,7,8,5,4,3,2,1]=>[6,5,4,3,2,1,7,8]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[1,2,3,4,5,7,8,6]=>[6,8,7,5,4,3,2,1]=>[8,6,5,4,3,2,1,7]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]
[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[1,2,3,4,7,8,5,6]=>[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]
[5,6,4,3,2,1,8,7]=>[7,8,1,2,3,4,6,5]=>[7,1,2,3,6,8,4,5]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]
[4,6,5,3,2,1,8,7]=>[7,8,1,2,3,5,6,4]=>[7,1,2,3,5,8,4,6]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]
[5,4,6,3,2,1,8,7]=>[7,8,1,2,3,6,4,5]=>[1,7,2,3,6,8,4,5]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[4,5,6,3,2,1,8,7]=>[7,8,1,2,3,6,5,4]=>[7,6,1,2,5,8,3,4]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]
[3,5,6,4,2,1,8,7]=>[7,8,1,2,4,6,5,3]=>[7,6,1,2,4,8,3,5]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]
[4,3,6,5,2,1,8,7]=>[7,8,1,2,5,6,3,4]=>[7,8,1,2,5,6,3,4]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[5,4,3,6,2,1,8,7]=>[7,8,1,2,6,3,4,5]=>[1,2,7,3,6,8,4,5]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[4,3,5,6,2,1,8,7]=>[7,8,1,2,6,5,3,4]=>[1,7,6,2,5,8,3,4]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[3,4,5,6,2,1,8,7]=>[7,8,1,2,6,5,4,3]=>[7,6,5,1,4,8,2,3]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[2,5,4,6,3,1,8,7]=>[7,8,1,3,6,4,5,2]=>[7,1,6,3,4,8,2,5]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[3,2,6,5,4,1,8,7]=>[7,8,1,4,5,6,2,3]=>[7,8,1,4,5,6,2,3]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,3,5,6,4,1,8,7]=>[7,8,1,4,6,5,3,2]=>[7,6,4,1,3,8,2,5]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[4,3,2,6,5,1,8,7]=>[7,8,1,5,6,2,3,4]=>[1,7,8,2,5,6,3,4]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,4,3,6,5,1,8,7]=>[7,8,1,5,6,3,4,2]=>[7,5,8,1,3,6,2,4]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[3,2,4,6,5,1,8,7]=>[7,8,1,5,6,4,2,3]=>[7,8,5,1,4,6,2,3]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[2,3,4,6,5,1,8,7]=>[7,8,1,5,6,4,3,2]=>[7,5,4,1,3,8,2,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[5,4,3,2,6,1,8,7]=>[7,8,1,6,2,3,4,5]=>[1,2,3,7,6,8,4,5]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[4,5,3,2,6,1,8,7]=>[7,8,1,6,2,3,5,4]=>[7,1,2,6,5,8,3,4]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]
[3,5,4,2,6,1,8,7]=>[7,8,1,6,2,4,5,3]=>[7,1,2,6,4,8,3,5]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]
[4,3,5,2,6,1,8,7]=>[7,8,1,6,2,5,3,4]=>[1,7,2,6,5,8,3,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[3,4,5,2,6,1,8,7]=>[7,8,1,6,2,5,4,3]=>[7,6,1,5,4,8,2,3]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,5,4,3,6,1,8,7]=>[7,8,1,6,3,4,5,2]=>[7,1,3,6,4,8,2,5]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[3,2,5,4,6,1,8,7]=>[7,8,1,6,4,5,2,3]=>[7,8,1,6,4,5,2,3]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,3,2,5,6,1,8,7]=>[7,8,1,6,5,2,3,4]=>[1,2,7,6,5,8,3,4]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[2,3,4,5,6,1,8,7]=>[7,8,1,6,5,4,3,2]=>[7,6,5,4,3,8,1,2]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[1,6,5,4,3,2,8,7]=>[7,8,2,3,4,5,6,1]=>[7,2,3,4,5,8,1,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[1,5,6,4,3,2,8,7]=>[7,8,2,3,4,6,5,1]=>[7,6,2,3,4,8,1,5]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[1,4,5,3,6,2,8,7]=>[7,8,2,6,3,5,4,1]=>[7,6,2,5,3,8,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[1,3,5,4,6,2,8,7]=>[7,8,2,6,4,5,3,1]=>[7,6,2,4,3,8,1,5]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[1,3,4,5,6,2,8,7]=>[7,8,2,6,5,4,3,1]=>[7,6,5,4,2,8,1,3]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>[7,8,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[2,1,5,6,4,3,8,7]=>[7,8,3,4,6,5,1,2]=>[7,8,6,3,4,5,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]
[2,1,4,6,5,3,8,7]=>[7,8,3,5,6,4,1,2]=>[7,8,5,3,4,6,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]
[2,1,5,4,6,3,8,7]=>[7,8,3,6,4,5,1,2]=>[7,8,3,6,4,5,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[2,1,4,5,6,3,8,7]=>[7,8,3,6,5,4,1,2]=>[7,8,6,5,3,4,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]
[1,2,5,6,4,3,8,7]=>[7,8,3,4,6,5,2,1]=>[7,6,3,2,4,8,1,5]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[3,2,1,6,5,4,8,7]=>[7,8,4,5,6,1,2,3]=>[4,7,8,1,5,6,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[1,3,2,6,5,4,8,7]=>[7,8,4,5,6,2,3,1]=>[7,4,8,2,5,6,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[4,3,2,1,6,5,8,7]=>[7,8,5,6,1,2,3,4]=>[1,2,7,8,5,6,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[3,4,2,1,6,5,8,7]=>[7,8,5,6,1,2,4,3]=>[7,1,5,8,4,6,2,3]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,3,1,6,5,8,7]=>[7,8,5,6,1,3,4,2]=>[7,1,5,8,3,6,2,4]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[3,2,4,1,6,5,8,7]=>[7,8,5,6,1,4,2,3]=>[1,7,5,8,4,6,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[1,4,3,2,6,5,8,7]=>[7,8,5,6,2,3,4,1]=>[7,2,5,8,3,6,1,4]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]
[1,3,4,2,6,5,8,7]=>[7,8,5,6,2,4,3,1]=>[7,5,4,8,2,6,1,3]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2]=>[7,8,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[1,2,4,3,6,5,8,7]=>[7,8,5,6,3,4,2,1]=>[7,5,3,8,2,6,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[3,2,1,4,6,5,8,7]=>[7,8,5,6,4,1,2,3]=>[1,7,8,5,4,6,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[2,3,1,4,6,5,8,7]=>[7,8,5,6,4,1,3,2]=>[7,5,8,4,3,6,1,2]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]
[2,1,3,4,6,5,8,7]=>[7,8,5,6,4,3,1,2]=>[7,8,5,4,3,6,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]
[1,2,3,4,6,5,8,7]=>[7,8,5,6,4,3,2,1]=>[7,5,4,3,2,8,1,6]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[5,4,3,2,1,6,8,7]=>[7,8,6,1,2,3,4,5]=>[1,2,3,7,8,6,4,5]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[2,5,4,3,1,6,8,7]=>[7,8,6,1,3,4,5,2]=>[7,1,3,6,8,4,2,5]=>[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]
[2,4,5,3,1,6,8,7]=>[7,8,6,1,3,5,4,2]=>[7,6,1,5,8,3,2,4]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[2,3,5,4,1,6,8,7]=>[7,8,6,1,4,5,3,2]=>[7,6,1,4,8,3,2,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[2,4,3,5,1,6,8,7]=>[7,8,6,1,5,3,4,2]=>[7,1,6,5,8,3,2,4]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[2,3,4,5,1,6,8,7]=>[7,8,6,1,5,4,3,2]=>[7,6,5,4,8,3,1,2]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]
[1,5,4,3,2,6,8,7]=>[7,8,6,2,3,4,5,1]=>[7,2,3,6,8,4,1,5]=>[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]
[1,4,5,3,2,6,8,7]=>[7,8,6,2,3,5,4,1]=>[7,6,2,5,8,3,1,4]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]
[1,2,5,4,3,6,8,7]=>[7,8,6,3,4,5,2,1]=>[7,6,3,4,8,2,1,5]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]
[2,1,3,5,4,6,8,7]=>[7,8,6,4,5,3,1,2]=>[7,8,6,4,5,3,1,2]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]
[1,2,3,5,4,6,8,7]=>[7,8,6,4,5,3,2,1]=>[7,6,4,3,8,2,1,5]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]
[4,3,2,1,5,6,8,7]=>[7,8,6,5,1,2,3,4]=>[1,2,7,8,6,5,3,4]=>[.,[.,[[[[.,[.,.]],.],.],[.,.]]]]
[3,4,2,1,5,6,8,7]=>[7,8,6,5,1,2,4,3]=>[7,1,6,8,5,4,2,3]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[3,2,4,1,5,6,8,7]=>[7,8,6,5,1,4,2,3]=>[1,7,6,8,5,4,2,3]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[2,3,4,1,5,6,8,7]=>[7,8,6,5,1,4,3,2]=>[7,6,5,8,4,3,1,2]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]
[1,3,4,2,5,6,8,7]=>[7,8,6,5,2,4,3,1]=>[7,6,5,8,4,2,1,3]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]
[2,1,4,3,5,6,8,7]=>[7,8,6,5,3,4,1,2]=>[7,8,3,6,5,4,1,2]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]
[1,2,4,3,5,6,8,7]=>[7,8,6,5,3,4,2,1]=>[7,6,5,8,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]
[3,2,1,4,5,6,8,7]=>[7,8,6,5,4,1,2,3]=>[1,7,8,6,5,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[2,3,1,4,5,6,8,7]=>[7,8,6,5,4,1,3,2]=>[7,6,8,5,4,3,1,2]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]
[1,3,2,4,5,6,8,7]=>[7,8,6,5,4,2,3,1]=>[7,6,8,5,4,2,1,3]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]
[2,1,3,4,5,6,8,7]=>[7,8,6,5,4,3,1,2]=>[7,8,6,5,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]
[1,2,3,4,5,6,8,7]=>[7,8,6,5,4,3,2,1]=>[7,6,5,4,3,2,1,8]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]
[5,7,6,4,3,2,1,8]=>[8,1,2,3,4,6,7,5]=>[8,1,2,3,4,6,7,5]=>[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]
[4,7,6,5,3,2,1,8]=>[8,1,2,3,5,6,7,4]=>[8,1,2,3,5,6,7,4]=>[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]
[5,4,7,6,3,2,1,8]=>[8,1,2,3,6,7,4,5]=>[6,8,1,2,3,4,7,5]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,5,7,6,3,2,1,8]=>[8,1,2,3,6,7,5,4]=>[8,6,1,2,3,5,7,4]=>[[[.,.],.],[.,[.,[[.,[.,.]],.]]]]
[4,6,5,7,3,2,1,8]=>[8,1,2,3,7,5,6,4]=>[8,1,7,2,3,5,6,4]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]
[3,7,6,5,4,2,1,8]=>[8,1,2,4,5,6,7,3]=>[8,1,2,4,5,6,7,3]=>[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]
[3,5,7,6,4,2,1,8]=>[8,1,2,4,6,7,5,3]=>[8,6,1,2,4,5,7,3]=>[[[.,.],.],[.,[[.,[.,[.,.]]],.]]]
[3,5,6,7,4,2,1,8]=>[8,1,2,4,7,6,5,3]=>[8,7,6,1,2,4,5,3]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]
[3,4,7,6,5,2,1,8]=>[8,1,2,5,6,7,4,3]=>[8,5,1,2,4,6,7,3]=>[[[.,.],.],[.,[[.,[.,[.,.]]],.]]]
[3,4,5,7,6,2,1,8]=>[8,1,2,6,7,5,4,3]=>[8,6,5,1,2,4,7,3]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]
[4,6,5,3,7,2,1,8]=>[8,1,2,7,3,5,6,4]=>[8,1,2,7,3,5,6,4]=>[[.,.],[.,[[.,.],[[.,[.,.]],.]]]]
[3,6,5,4,7,2,1,8]=>[8,1,2,7,4,5,6,3]=>[8,1,2,7,4,5,6,3]=>[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]
[3,5,6,4,7,2,1,8]=>[8,1,2,7,4,6,5,3]=>[8,7,1,6,2,4,5,3]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]
[3,5,4,6,7,2,1,8]=>[8,1,2,7,6,4,5,3]=>[8,1,7,6,2,4,5,3]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]
[2,7,6,5,4,3,1,8]=>[8,1,3,4,5,6,7,2]=>[8,1,3,4,5,6,7,2]=>[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]
[2,6,7,5,4,3,1,8]=>[8,1,3,4,5,7,6,2]=>[8,7,1,3,4,5,6,2]=>[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]
[2,4,7,6,5,3,1,8]=>[8,1,3,5,6,7,4,2]=>[8,5,1,3,4,6,7,2]=>[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]
[2,5,4,7,6,3,1,8]=>[8,1,3,6,7,4,5,2]=>[8,6,7,1,3,4,5,2]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]
[2,4,5,7,6,3,1,8]=>[8,1,3,6,7,5,4,2]=>[8,6,5,1,3,4,7,2]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]
[2,6,5,4,7,3,1,8]=>[8,1,3,7,4,5,6,2]=>[8,1,3,7,4,5,6,2]=>[[.,.],[[.,[[.,.],[.,[.,.]]]],.]]
[2,5,4,6,7,3,1,8]=>[8,1,3,7,6,4,5,2]=>[8,1,7,6,3,4,5,2]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]
[2,4,5,6,7,3,1,8]=>[8,1,3,7,6,5,4,2]=>[8,7,6,5,1,3,4,2]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]
[3,2,7,6,5,4,1,8]=>[8,1,4,5,6,7,2,3]=>[4,8,1,2,5,6,7,3]=>[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]
[3,2,6,7,5,4,1,8]=>[8,1,4,5,7,6,2,3]=>[4,8,7,1,2,5,6,3]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[3,2,5,6,7,4,1,8]=>[8,1,4,7,6,5,2,3]=>[4,8,7,6,1,2,5,3]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[2,3,7,6,5,4,1,8]=>[8,1,4,5,6,7,3,2]=>[8,4,1,3,5,6,7,2]=>[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]
[4,3,2,7,6,5,1,8]=>[8,1,5,6,7,2,3,4]=>[5,6,8,1,2,3,7,4]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[4,3,2,6,7,5,1,8]=>[8,1,5,7,6,2,3,4]=>[1,5,8,7,2,3,6,4]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]
[3,4,2,6,7,5,1,8]=>[8,1,5,7,6,2,4,3]=>[8,5,7,6,1,2,4,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[3,2,4,7,6,5,1,8]=>[8,1,5,6,7,4,2,3]=>[5,8,6,1,2,4,7,3]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[2,3,4,7,6,5,1,8]=>[8,1,5,6,7,4,3,2]=>[8,5,4,1,3,6,7,2]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]
[5,4,3,2,7,6,1,8]=>[8,1,6,7,2,3,4,5]=>[1,2,6,8,3,4,7,5]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]
[4,5,3,2,7,6,1,8]=>[8,1,6,7,2,3,5,4]=>[8,1,6,7,2,3,5,4]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[3,5,4,2,7,6,1,8]=>[8,1,6,7,2,4,5,3]=>[8,1,6,7,2,4,5,3]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]
[3,2,5,4,7,6,1,8]=>[8,1,6,7,4,5,2,3]=>[6,8,4,7,1,2,5,3]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[2,3,5,4,7,6,1,8]=>[8,1,6,7,4,5,3,2]=>[8,6,4,7,1,3,5,2]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]
[4,3,2,5,7,6,1,8]=>[8,1,6,7,5,2,3,4]=>[1,6,8,7,2,3,5,4]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]
[3,2,4,5,7,6,1,8]=>[8,1,6,7,5,4,2,3]=>[6,8,7,5,1,2,4,3]=>[[[.,[[.,.],.]],.],[.,[[.,.],.]]]
[2,3,4,5,7,6,1,8]=>[8,1,6,7,5,4,3,2]=>[8,6,5,4,1,3,7,2]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]
[4,6,5,3,2,7,1,8]=>[8,1,7,2,3,5,6,4]=>[8,1,2,3,7,5,6,4]=>[[.,.],[.,[.,[[[.,.],[.,.]],.]]]]
[3,6,5,4,2,7,1,8]=>[8,1,7,2,4,5,6,3]=>[8,1,2,4,7,5,6,3]=>[[.,.],[.,[[.,[[.,.],[.,.]]],.]]]
[4,3,6,5,2,7,1,8]=>[8,1,7,2,5,6,3,4]=>[5,8,1,2,7,3,6,4]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[3,4,6,5,2,7,1,8]=>[8,1,7,2,5,6,4,3]=>[8,7,1,2,5,4,6,3]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]
[3,5,4,6,2,7,1,8]=>[8,1,7,2,6,4,5,3]=>[8,1,7,2,6,4,5,3]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]
[2,4,6,5,3,7,1,8]=>[8,1,7,3,5,6,4,2]=>[8,7,1,3,5,4,6,2]=>[[[.,.],.],[[.,[[.,.],[.,.]]],.]]
[2,5,4,6,3,7,1,8]=>[8,1,7,3,6,4,5,2]=>[8,1,7,3,6,4,5,2]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]
[2,4,5,6,3,7,1,8]=>[8,1,7,3,6,5,4,2]=>[8,7,6,1,5,3,4,2]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]
[3,2,6,5,4,7,1,8]=>[8,1,7,4,5,6,2,3]=>[4,8,1,2,7,5,6,3]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]
[2,3,5,6,4,7,1,8]=>[8,1,7,4,6,5,3,2]=>[8,7,6,1,4,3,5,2]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]
[4,3,2,6,5,7,1,8]=>[8,1,7,5,6,2,3,4]=>[1,5,8,2,7,3,6,4]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[3,4,2,6,5,7,1,8]=>[8,1,7,5,6,2,4,3]=>[8,5,7,1,6,2,4,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[2,4,3,6,5,7,1,8]=>[8,1,7,5,6,3,4,2]=>[8,5,7,1,6,3,4,2]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[3,2,4,6,5,7,1,8]=>[8,1,7,5,6,4,2,3]=>[5,8,7,1,6,2,4,3]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[2,3,4,6,5,7,1,8]=>[8,1,7,5,6,4,3,2]=>[8,7,5,1,4,3,6,2]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]
[3,5,4,2,6,7,1,8]=>[8,1,7,6,2,4,5,3]=>[8,1,2,7,6,4,5,3]=>[[.,.],[.,[[[[.,.],.],[.,.]],.]]]
[2,5,4,3,6,7,1,8]=>[8,1,7,6,3,4,5,2]=>[8,1,3,7,6,4,5,2]=>[[.,.],[[.,[[[.,.],.],[.,.]]],.]]
[2,3,5,4,6,7,1,8]=>[8,1,7,6,4,5,3,2]=>[8,7,1,6,4,3,5,2]=>[[[.,.],.],[[[[.,.],.],[.,.]],.]]
[2,4,3,5,6,7,1,8]=>[8,1,7,6,5,3,4,2]=>[8,1,7,6,5,3,4,2]=>[[.,.],[[[[[.,.],.],.],[.,.]],.]]
[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,6,7,5,4,3,2,8]=>[8,2,3,4,5,7,6,1]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,5,6,7,4,3,2,8]=>[8,2,3,4,7,6,5,1]=>[8,7,6,2,3,4,5,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[1,5,4,7,6,3,2,8]=>[8,2,3,6,7,4,5,1]=>[8,6,7,2,3,4,5,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[1,6,5,4,7,3,2,8]=>[8,2,3,7,4,5,6,1]=>[8,2,3,7,4,5,6,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,5,4,6,7,3,2,8]=>[8,2,3,7,6,4,5,1]=>[8,2,7,6,3,4,5,1]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]
[1,4,5,6,7,3,2,8]=>[8,2,3,7,6,5,4,1]=>[8,7,6,5,2,3,4,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]
[1,3,7,6,5,4,2,8]=>[8,2,4,5,6,7,3,1]=>[8,4,2,3,5,6,7,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,3,5,7,6,4,2,8]=>[8,2,4,6,7,5,3,1]=>[8,6,4,2,3,5,7,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[1,3,6,5,7,4,2,8]=>[8,2,4,7,5,6,3,1]=>[8,7,2,4,3,5,6,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[1,3,4,7,6,5,2,8]=>[8,2,5,6,7,4,3,1]=>[8,5,4,2,3,6,7,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[1,3,4,6,7,5,2,8]=>[8,2,5,7,6,4,3,1]=>[8,7,5,4,2,3,6,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]
[1,4,3,5,7,6,2,8]=>[8,2,6,7,5,3,4,1]=>[8,6,7,5,2,3,4,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]
[1,3,4,5,7,6,2,8]=>[8,2,6,7,5,4,3,1]=>[8,6,5,4,2,3,7,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]
[1,5,4,6,3,7,2,8]=>[8,2,7,3,6,4,5,1]=>[8,2,7,3,6,4,5,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[1,4,5,6,3,7,2,8]=>[8,2,7,3,6,5,4,1]=>[8,7,6,2,5,3,4,1]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]
[1,3,6,5,4,7,2,8]=>[8,2,7,4,5,6,3,1]=>[8,7,2,4,5,3,6,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[1,4,3,6,5,7,2,8]=>[8,2,7,5,6,3,4,1]=>[8,5,7,2,6,3,4,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[1,3,4,6,5,7,2,8]=>[8,2,7,5,6,4,3,1]=>[8,7,5,2,4,3,6,1]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]
[1,5,4,3,6,7,2,8]=>[8,2,7,6,3,4,5,1]=>[8,2,3,7,6,4,5,1]=>[[[.,.],[.,[[[.,.],.],[.,.]]]],.]
[1,4,3,5,6,7,2,8]=>[8,2,7,6,5,3,4,1]=>[8,2,7,6,5,3,4,1]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]
[1,3,4,5,6,7,2,8]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,2,3,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]
[2,1,7,6,5,4,3,8]=>[8,3,4,5,6,7,1,2]=>[3,8,1,4,5,6,7,2]=>[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]
[2,1,6,7,5,4,3,8]=>[8,3,4,5,7,6,1,2]=>[3,8,7,1,4,5,6,2]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]
[2,1,5,7,6,4,3,8]=>[8,3,4,6,7,5,1,2]=>[3,8,6,1,4,5,7,2]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]
[2,1,5,4,6,7,3,8]=>[8,3,7,6,4,5,1,2]=>[3,8,1,7,6,4,5,2]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]
[1,2,7,6,5,4,3,8]=>[8,3,4,5,6,7,2,1]=>[8,3,2,4,5,6,7,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,2,5,6,7,4,3,8]=>[8,3,4,7,6,5,2,1]=>[8,7,6,3,2,4,5,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]
[1,2,4,6,7,5,3,8]=>[8,3,5,7,6,4,2,1]=>[8,7,5,3,2,4,6,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]
[1,2,5,6,4,7,3,8]=>[8,3,7,4,6,5,2,1]=>[8,7,6,3,4,2,5,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[1,2,4,6,5,7,3,8]=>[8,3,7,5,6,4,2,1]=>[8,7,5,3,4,2,6,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[1,2,4,5,6,7,3,8]=>[8,3,7,6,5,4,2,1]=>[8,7,6,5,3,2,4,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]
[3,2,1,7,6,5,4,8]=>[8,4,5,6,7,1,2,3]=>[4,5,8,1,2,6,7,3]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[3,2,1,5,6,7,4,8]=>[8,4,7,6,5,1,2,3]=>[1,4,8,7,6,2,5,3]=>[.,[[.,[[[.,.],.],.]],[[.,.],.]]]
[2,3,1,6,5,7,4,8]=>[8,4,7,5,6,1,3,2]=>[8,4,7,1,5,3,6,2]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[2,3,1,5,6,7,4,8]=>[8,4,7,6,5,1,3,2]=>[8,4,7,6,5,1,3,2]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]
[1,3,2,6,7,5,4,8]=>[8,4,5,7,6,2,3,1]=>[8,4,7,5,2,3,6,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[1,3,2,6,5,7,4,8]=>[8,4,7,5,6,2,3,1]=>[8,4,7,2,5,3,6,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[1,3,2,5,6,7,4,8]=>[8,4,7,6,5,2,3,1]=>[8,4,7,6,5,2,3,1]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]
[2,1,3,5,7,6,4,8]=>[8,4,6,7,5,3,1,2]=>[4,8,6,5,1,3,7,2]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]
[2,1,3,5,6,7,4,8]=>[8,4,7,6,5,3,1,2]=>[4,8,7,6,5,1,3,2]=>[[.,[[[[.,.],.],.],.]],[[.,.],.]]
[1,2,3,7,6,5,4,8]=>[8,4,5,6,7,3,2,1]=>[8,4,3,2,5,6,7,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[1,2,3,6,7,5,4,8]=>[8,4,5,7,6,3,2,1]=>[8,7,4,3,2,5,6,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]
[1,2,3,6,5,7,4,8]=>[8,4,7,5,6,3,2,1]=>[8,7,4,3,5,2,6,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[1,2,3,5,6,7,4,8]=>[8,4,7,6,5,3,2,1]=>[8,7,6,4,3,2,5,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]
[4,3,2,1,7,6,5,8]=>[8,5,6,7,1,2,3,4]=>[1,5,6,8,2,3,7,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[4,3,2,1,6,7,5,8]=>[8,5,7,6,1,2,3,4]=>[1,2,5,8,7,3,6,4]=>[.,[.,[[.,[[.,.],.]],[[.,.],.]]]]
[3,4,2,1,6,7,5,8]=>[8,5,7,6,1,2,4,3]=>[8,1,5,7,6,2,4,3]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]
[3,2,4,1,6,7,5,8]=>[8,5,7,6,1,4,2,3]=>[1,8,5,7,6,2,4,3]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[2,3,4,1,6,7,5,8]=>[8,5,7,6,1,4,3,2]=>[8,7,5,6,4,1,3,2]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]
[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>[8,5,6,7,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[1,3,4,2,6,7,5,8]=>[8,5,7,6,2,4,3,1]=>[8,7,5,6,4,2,3,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]
[2,1,4,3,7,6,5,8]=>[8,5,6,7,3,4,1,2]=>[5,8,3,6,1,4,7,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]
[1,2,4,3,7,6,5,8]=>[8,5,6,7,3,4,2,1]=>[8,5,3,6,2,4,7,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[3,2,1,4,7,6,5,8]=>[8,5,6,7,4,1,2,3]=>[5,6,8,7,1,2,4,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]
[3,2,1,4,6,7,5,8]=>[8,5,7,6,4,1,2,3]=>[1,5,8,7,6,2,4,3]=>[.,[[.,[[[.,.],.],.]],[[.,.],.]]]
[2,3,1,4,6,7,5,8]=>[8,5,7,6,4,1,3,2]=>[8,5,7,6,4,1,3,2]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[1,3,2,4,7,6,5,8]=>[8,5,6,7,4,2,3,1]=>[8,5,6,4,2,3,7,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]
[1,3,2,4,6,7,5,8]=>[8,5,7,6,4,2,3,1]=>[8,5,7,6,4,2,3,1]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]
[2,1,3,4,6,7,5,8]=>[8,5,7,6,4,3,1,2]=>[5,8,7,6,4,1,3,2]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]
[1,2,3,4,7,6,5,8]=>[8,5,6,7,4,3,2,1]=>[8,5,4,3,2,6,7,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]
[5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]=>[1,2,3,6,8,4,7,5]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[3,2,5,4,1,7,6,8]=>[8,6,7,1,4,5,2,3]=>[6,8,1,4,7,2,5,3]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[2,3,5,4,1,7,6,8]=>[8,6,7,1,4,5,3,2]=>[8,6,1,4,7,3,5,2]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]
[4,3,2,5,1,7,6,8]=>[8,6,7,1,5,2,3,4]=>[1,2,8,6,7,3,5,4]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[3,4,2,5,1,7,6,8]=>[8,6,7,1,5,2,4,3]=>[8,1,6,5,7,2,4,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[2,4,3,5,1,7,6,8]=>[8,6,7,1,5,3,4,2]=>[8,1,6,5,7,3,4,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]
[2,3,4,5,1,7,6,8]=>[8,6,7,1,5,4,3,2]=>[8,6,5,4,7,1,3,2]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[1,5,4,3,2,7,6,8]=>[8,6,7,2,3,4,5,1]=>[8,2,3,6,7,4,5,1]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[1,4,5,3,2,7,6,8]=>[8,6,7,2,3,5,4,1]=>[8,6,2,5,7,3,4,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[1,3,5,4,2,7,6,8]=>[8,6,7,2,4,5,3,1]=>[8,6,2,4,7,3,5,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[1,4,3,5,2,7,6,8]=>[8,6,7,2,5,3,4,1]=>[8,2,6,5,7,3,4,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[2,1,5,4,3,7,6,8]=>[8,6,7,3,4,5,1,2]=>[6,8,3,4,7,1,5,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[1,2,5,4,3,7,6,8]=>[8,6,7,3,4,5,2,1]=>[8,6,3,4,7,2,5,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[1,2,4,5,3,7,6,8]=>[8,6,7,3,5,4,2,1]=>[8,6,5,3,7,2,4,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[3,2,1,5,4,7,6,8]=>[8,6,7,4,5,1,2,3]=>[1,6,8,4,7,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[2,3,1,5,4,7,6,8]=>[8,6,7,4,5,1,3,2]=>[8,6,7,4,5,1,3,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[1,3,2,5,4,7,6,8]=>[8,6,7,4,5,2,3,1]=>[8,6,7,4,5,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[2,1,3,5,4,7,6,8]=>[8,6,7,4,5,3,1,2]=>[6,8,7,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]
[1,2,3,5,4,7,6,8]=>[8,6,7,4,5,3,2,1]=>[8,6,4,3,7,2,5,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[4,3,2,1,5,7,6,8]=>[8,6,7,5,1,2,3,4]=>[1,2,6,8,7,3,5,4]=>[.,[.,[[.,[[.,.],.]],[[.,.],.]]]]
[2,3,4,1,5,7,6,8]=>[8,6,7,5,1,4,3,2]=>[8,6,5,7,4,1,3,2]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]
[1,4,3,2,5,7,6,8]=>[8,6,7,5,2,3,4,1]=>[8,2,6,7,5,3,4,1]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[1,3,4,2,5,7,6,8]=>[8,6,7,5,2,4,3,1]=>[8,6,5,7,4,2,3,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]
[1,2,4,3,5,7,6,8]=>[8,6,7,5,3,4,2,1]=>[8,6,5,7,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]
[2,3,1,4,5,7,6,8]=>[8,6,7,5,4,1,3,2]=>[8,6,7,5,4,1,3,2]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]
[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>[8,6,7,5,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]
[2,1,3,4,5,7,6,8]=>[8,6,7,5,4,3,1,2]=>[6,8,7,5,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]
[1,2,3,4,5,7,6,8]=>[8,6,7,5,4,3,2,1]=>[8,6,5,4,3,2,7,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]
[3,5,6,4,2,1,7,8]=>[8,7,1,2,4,6,5,3]=>[8,7,1,2,4,6,5,3]=>[[[.,.],.],[.,[[.,[[.,.],.]],.]]]
[2,4,5,6,3,1,7,8]=>[8,7,1,3,6,5,4,2]=>[8,7,6,1,3,5,4,2]=>[[[[.,.],.],.],[[.,[[.,.],.]],.]]
[3,2,5,6,4,1,7,8]=>[8,7,1,4,6,5,2,3]=>[4,8,7,1,2,6,5,3]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]
[2,3,6,5,4,1,7,8]=>[8,7,1,4,5,6,3,2]=>[8,7,1,4,5,6,3,2]=>[[[.,.],.],[[[.,[.,[.,.]]],.],.]]
[2,3,5,6,4,1,7,8]=>[8,7,1,4,6,5,3,2]=>[8,7,6,1,4,5,3,2]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]
[4,3,2,6,5,1,7,8]=>[8,7,1,5,6,2,3,4]=>[1,5,8,2,3,7,6,4]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]
[3,4,2,6,5,1,7,8]=>[8,7,1,5,6,2,4,3]=>[8,5,7,1,2,6,4,3]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[2,3,4,6,5,1,7,8]=>[8,7,1,5,6,4,3,2]=>[8,7,5,1,4,6,3,2]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]
[3,5,4,2,6,1,7,8]=>[8,7,1,6,2,4,5,3]=>[8,1,2,7,4,6,5,3]=>[[.,.],[.,[[[.,.],[[.,.],.]],.]]]
[2,4,5,3,6,1,7,8]=>[8,7,1,6,3,5,4,2]=>[8,7,1,6,3,5,4,2]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]
[3,2,5,4,6,1,7,8]=>[8,7,1,6,4,5,2,3]=>[4,8,1,7,2,6,5,3]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[2,3,5,4,6,1,7,8]=>[8,7,1,6,4,5,3,2]=>[8,7,1,6,4,5,3,2]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]
[1,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,1]=>[8,2,3,4,5,7,6,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[1,3,6,5,4,2,7,8]=>[8,7,2,4,5,6,3,1]=>[8,7,2,4,5,6,3,1]=>[[[[.,.],.],[[.,[.,[.,.]]],.]],.]
[1,3,4,6,5,2,7,8]=>[8,7,2,5,6,4,3,1]=>[8,7,5,2,4,6,3,1]=>[[[[[.,.],.],.],[[.,[.,.]],.]],.]
[1,4,5,3,6,2,7,8]=>[8,7,2,6,3,5,4,1]=>[8,7,2,6,3,5,4,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[1,3,5,4,6,2,7,8]=>[8,7,2,6,4,5,3,1]=>[8,7,2,6,4,5,3,1]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]
[2,1,5,6,4,3,7,8]=>[8,7,3,4,6,5,1,2]=>[3,8,7,1,4,6,5,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]
[1,2,6,5,4,3,7,8]=>[8,7,3,4,5,6,2,1]=>[8,7,3,4,5,6,2,1]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]
[1,2,5,6,4,3,7,8]=>[8,7,3,4,6,5,2,1]=>[8,7,6,3,4,5,2,1]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]
[1,2,4,6,5,3,7,8]=>[8,7,3,5,6,4,2,1]=>[8,7,5,3,4,6,2,1]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]
[1,2,5,4,6,3,7,8]=>[8,7,3,6,4,5,2,1]=>[8,7,3,6,4,5,2,1]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]
[1,2,4,5,6,3,7,8]=>[8,7,3,6,5,4,2,1]=>[8,7,6,5,3,4,2,1]=>[[[[[[[.,.],.],.],.],[.,.]],.],.]
[3,2,1,6,5,4,7,8]=>[8,7,4,5,6,1,2,3]=>[4,5,8,1,2,7,6,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]
[2,3,1,6,5,4,7,8]=>[8,7,4,5,6,1,3,2]=>[8,4,7,1,5,6,3,2]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]
[1,3,2,6,5,4,7,8]=>[8,7,4,5,6,2,3,1]=>[8,4,7,2,5,6,3,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[1,3,2,5,6,4,7,8]=>[8,7,4,6,5,2,3,1]=>[8,4,7,6,2,5,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[2,1,3,5,6,4,7,8]=>[8,7,4,6,5,3,1,2]=>[4,8,7,6,1,5,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]
[1,2,3,6,5,4,7,8]=>[8,7,4,5,6,3,2,1]=>[8,7,4,3,5,6,2,1]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]
[1,2,3,5,6,4,7,8]=>[8,7,4,6,5,3,2,1]=>[8,7,6,4,3,5,2,1]=>[[[[[[[.,.],.],.],.],[.,.]],.],.]
[4,3,2,1,6,5,7,8]=>[8,7,5,6,1,2,3,4]=>[1,2,5,8,3,7,6,4]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]
[3,4,2,1,6,5,7,8]=>[8,7,5,6,1,2,4,3]=>[8,1,5,7,2,6,4,3]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]
[2,4,3,1,6,5,7,8]=>[8,7,5,6,1,3,4,2]=>[8,1,5,7,3,6,4,2]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]
[2,3,4,1,6,5,7,8]=>[8,7,5,6,1,4,3,2]=>[8,7,5,6,1,4,3,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[1,4,3,2,6,5,7,8]=>[8,7,5,6,2,3,4,1]=>[8,2,5,7,3,6,4,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[2,1,4,3,6,5,7,8]=>[8,7,5,6,3,4,1,2]=>[5,8,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>[8,7,5,6,3,4,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]
[2,3,1,4,6,5,7,8]=>[8,7,5,6,4,1,3,2]=>[8,5,7,6,1,4,3,2]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[1,3,2,4,6,5,7,8]=>[8,7,5,6,4,2,3,1]=>[8,5,7,6,2,4,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[2,1,3,4,6,5,7,8]=>[8,7,5,6,4,3,1,2]=>[5,8,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]
[1,2,3,4,6,5,7,8]=>[8,7,5,6,4,3,2,1]=>[8,7,5,4,3,6,2,1]=>[[[[[[[.,.],.],.],.],[.,.]],.],.]
[3,5,4,2,1,6,7,8]=>[8,7,6,1,2,4,5,3]=>[8,1,2,4,7,6,5,3]=>[[.,.],[.,[[.,[[[.,.],.],.]],.]]]
[2,4,5,3,1,6,7,8]=>[8,7,6,1,3,5,4,2]=>[8,7,1,3,6,5,4,2]=>[[[.,.],.],[[.,[[[.,.],.],.]],.]]
[3,2,5,4,1,6,7,8]=>[8,7,6,1,4,5,2,3]=>[4,8,1,2,7,6,5,3]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]
[2,3,5,4,1,6,7,8]=>[8,7,6,1,4,5,3,2]=>[8,7,1,4,6,5,3,2]=>[[[.,.],.],[[[.,[[.,.],.]],.],.]]
[2,4,3,5,1,6,7,8]=>[8,7,6,1,5,3,4,2]=>[8,1,7,3,6,5,4,2]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]
[1,5,4,3,2,6,7,8]=>[8,7,6,2,3,4,5,1]=>[8,2,3,4,7,6,5,1]=>[[[.,.],[.,[.,[[[.,.],.],.]]]],.]
[1,4,3,5,2,6,7,8]=>[8,7,6,2,5,3,4,1]=>[8,2,7,3,6,5,4,1]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]
[1,3,4,5,2,6,7,8]=>[8,7,6,2,5,4,3,1]=>[8,7,6,2,5,4,3,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]
[2,1,5,4,3,6,7,8]=>[8,7,6,3,4,5,1,2]=>[3,8,1,4,7,6,5,2]=>[[.,[.,.]],[[.,[[[.,.],.],.]],.]]
[2,1,4,5,3,6,7,8]=>[8,7,6,3,5,4,1,2]=>[3,8,7,1,6,5,4,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[1,2,5,4,3,6,7,8]=>[8,7,6,3,4,5,2,1]=>[8,7,3,4,6,5,2,1]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.]
[1,2,4,5,3,6,7,8]=>[8,7,6,3,5,4,2,1]=>[8,7,6,3,5,4,2,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]
[3,2,1,5,4,6,7,8]=>[8,7,6,4,5,1,2,3]=>[1,4,8,2,7,6,5,3]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]
[2,3,1,5,4,6,7,8]=>[8,7,6,4,5,1,3,2]=>[8,4,7,1,6,5,3,2]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]
[1,3,2,5,4,6,7,8]=>[8,7,6,4,5,2,3,1]=>[8,4,7,2,6,5,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[2,1,3,5,4,6,7,8]=>[8,7,6,4,5,3,1,2]=>[4,8,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[1,2,3,5,4,6,7,8]=>[8,7,6,4,5,3,2,1]=>[8,7,6,4,5,3,2,1]=>[[[[[[[.,.],.],.],[.,.]],.],.],.]
[2,4,3,1,5,6,7,8]=>[8,7,6,5,1,3,4,2]=>[8,1,3,7,6,5,4,2]=>[[.,.],[[.,[[[[.,.],.],.],.]],.]]
[1,4,3,2,5,6,7,8]=>[8,7,6,5,2,3,4,1]=>[8,2,3,7,6,5,4,1]=>[[[.,.],[.,[[[[.,.],.],.],.]]],.]
[2,1,4,3,5,6,7,8]=>[8,7,6,5,3,4,1,2]=>[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[1,2,4,3,5,6,7,8]=>[8,7,6,5,3,4,2,1]=>[8,7,3,6,5,4,2,1]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]
[1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1]=>[8,2,7,6,5,4,3,1]=>[[[.,.],[[[[[.,.],.],.],.],.]],.]
[1,2,3,4,8,6,7,5]=>[5,7,6,8,4,3,2,1]=>[7,5,4,3,2,6,1,8]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[1,2,3,8,5,6,7,4]=>[4,7,6,5,8,3,2,1]=>[7,6,4,3,5,2,1,8]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]
[1,2,3,8,5,7,6,4]=>[4,6,7,5,8,3,2,1]=>[6,4,3,2,5,1,7,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[1,2,4,3,8,6,7,5]=>[5,7,6,8,3,4,2,1]=>[7,5,3,6,2,4,1,8]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[1,2,4,5,8,6,7,3]=>[3,7,6,8,5,4,2,1]=>[7,6,5,3,2,4,1,8]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[1,2,4,8,5,6,7,3]=>[3,7,6,5,8,4,2,1]=>[7,6,5,3,4,2,1,8]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]
[1,2,4,8,6,5,7,3]=>[3,7,5,6,8,4,2,1]=>[7,5,3,2,4,6,1,8]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[1,2,4,8,6,7,5,3]=>[3,5,7,6,8,4,2,1]=>[7,5,3,2,4,1,6,8]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[1,2,5,4,8,6,7,3]=>[3,7,6,8,4,5,2,1]=>[7,6,3,8,2,4,1,5]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[1,2,6,4,5,3,7,8]=>[8,7,3,5,4,6,2,1]=>[8,7,3,5,4,6,2,1]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]
[1,2,6,4,5,7,3,8]=>[8,3,7,5,4,6,2,1]=>[8,7,3,5,4,2,6,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]
[1,2,6,4,5,7,8,3]=>[3,8,7,5,4,6,2,1]=>[8,7,3,5,4,2,1,6]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]
[1,2,7,4,5,6,3,8]=>[8,3,6,5,4,7,2,1]=>[8,6,3,5,4,2,7,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]
[1,2,8,4,5,6,7,3]=>[3,7,6,5,4,8,2,1]=>[7,6,3,5,4,2,1,8]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]
[1,2,7,4,6,5,3,8]=>[8,3,5,6,4,7,2,1]=>[8,5,3,4,2,6,7,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]=>[5,3,2,4,1,6,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[1,2,7,5,4,6,3,8]=>[8,3,6,4,5,7,2,1]=>[8,6,3,4,5,2,7,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[1,2,8,5,4,6,7,3]=>[3,7,6,4,5,8,2,1]=>[7,6,3,4,5,2,1,8]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]
[1,2,8,5,6,7,4,3]=>[3,4,7,6,5,8,2,1]=>[7,6,3,4,2,1,5,8]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]
[1,3,2,4,8,6,7,5]=>[5,7,6,8,4,2,3,1]=>[7,5,6,4,2,3,1,8]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]
[1,3,2,7,5,6,4,8]=>[8,4,6,5,7,2,3,1]=>[8,4,6,2,5,3,7,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[1,3,2,8,5,6,7,4]=>[4,7,6,5,8,2,3,1]=>[7,4,6,2,5,3,1,8]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[1,3,4,5,8,6,7,2]=>[2,7,6,8,5,4,3,1]=>[7,6,5,4,2,3,1,8]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[1,3,6,4,5,7,2,8]=>[8,2,7,5,4,6,3,1]=>[8,7,2,5,4,3,6,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[1,3,6,4,5,7,8,2]=>[2,8,7,5,4,6,3,1]=>[8,7,2,5,4,3,1,6]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[1,3,6,4,5,8,7,2]=>[2,7,8,5,4,6,3,1]=>[7,5,4,8,2,1,3,6]=>[[[[[.,.],.],[.,.]],.],[.,[.,.]]]
[1,3,7,4,5,6,2,8]=>[8,2,6,5,4,7,3,1]=>[8,6,2,5,4,3,7,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[1,3,8,4,5,6,7,2]=>[2,7,6,5,4,8,3,1]=>[7,6,2,5,4,3,1,8]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[1,3,8,4,7,6,5,2]=>[2,5,6,7,4,8,3,1]=>[5,4,2,3,1,6,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[1,3,7,5,4,6,2,8]=>[8,2,6,4,5,7,3,1]=>[8,6,2,4,5,3,7,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[1,3,8,5,4,6,7,2]=>[2,7,6,4,5,8,3,1]=>[7,6,2,4,5,3,1,8]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]
[1,3,8,5,4,7,6,2]=>[2,6,7,4,5,8,3,1]=>[6,4,2,3,7,1,5,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[1,3,8,5,6,4,7,2]=>[2,7,4,6,5,8,3,1]=>[7,6,2,4,3,5,1,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[1,3,8,5,6,7,4,2]=>[2,4,7,6,5,8,3,1]=>[7,6,2,4,3,1,5,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[1,3,8,6,5,7,4,2]=>[2,4,7,5,6,8,3,1]=>[7,4,2,3,5,1,6,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[1,4,3,5,8,6,7,2]=>[2,7,6,8,5,3,4,1]=>[7,6,8,5,2,3,1,4]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]
[1,4,3,7,5,6,2,8]=>[8,2,6,5,7,3,4,1]=>[8,6,7,2,5,3,4,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[1,4,3,8,6,7,5,2]=>[2,5,7,6,8,3,4,1]=>[7,5,6,2,3,1,4,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[1,5,3,4,2,7,8,6]=>[6,8,7,2,4,3,5,1]=>[8,2,6,4,7,3,1,5]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]
[1,5,3,4,2,8,7,6]=>[6,7,8,2,4,3,5,1]=>[6,4,7,2,8,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[1,5,3,4,6,2,8,7]=>[7,8,2,6,4,3,5,1]=>[7,2,6,4,3,8,1,5]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[1,5,3,4,6,7,8,2]=>[2,8,7,6,4,3,5,1]=>[8,2,7,6,4,3,1,5]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]
[1,6,3,4,5,2,7,8]=>[8,7,2,5,4,3,6,1]=>[8,2,7,5,4,6,3,1]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]
[1,6,3,4,5,2,8,7]=>[7,8,2,5,4,3,6,1]=>[7,2,5,4,3,8,1,6]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[1,6,3,4,5,7,2,8]=>[8,2,7,5,4,3,6,1]=>[8,2,7,5,4,3,6,1]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]
[1,7,3,4,5,6,2,8]=>[8,2,6,5,4,3,7,1]=>[8,2,6,5,4,3,7,1]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]
[1,8,3,4,5,6,7,2]=>[2,7,6,5,4,3,8,1]=>[7,2,6,5,4,3,1,8]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]
[1,8,3,4,6,5,7,2]=>[2,7,5,6,4,3,8,1]=>[7,2,5,4,3,6,1,8]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]=>[5,2,4,3,1,6,7,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[1,6,3,5,4,2,7,8]=>[8,7,2,4,5,3,6,1]=>[8,2,7,4,5,6,3,1]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.]
[1,6,3,5,4,7,2,8]=>[8,2,7,4,5,3,6,1]=>[8,2,7,4,5,3,6,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[1,6,3,5,4,8,7,2]=>[2,7,8,4,5,3,6,1]=>[7,2,4,3,8,1,5,6]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[1,7,3,5,4,6,2,8]=>[8,2,6,4,5,3,7,1]=>[8,2,6,4,5,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[1,8,3,5,4,6,7,2]=>[2,7,6,4,5,3,8,1]=>[7,2,6,4,5,3,1,8]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]
[1,7,3,5,6,4,8,2]=>[2,8,4,6,5,3,7,1]=>[8,2,6,4,3,5,1,7]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[1,8,3,5,7,6,4,2]=>[2,4,6,7,5,3,8,1]=>[6,2,4,3,1,5,7,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]=>[4,2,3,1,5,6,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,8,4,3,5,6,7,2]=>[2,7,6,5,3,4,8,1]=>[7,2,3,6,5,4,1,8]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]]
[1,6,4,5,3,2,8,7]=>[7,8,2,3,5,4,6,1]=>[7,2,5,3,4,8,1,6]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[1,7,4,5,3,6,8,2]=>[2,8,6,3,5,4,7,1]=>[8,2,6,3,5,4,1,7]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[1,8,4,5,6,7,3,2]=>[2,3,7,6,5,4,8,1]=>[7,2,6,5,3,1,4,8]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]
[1,8,4,6,5,3,7,2]=>[2,7,3,5,6,4,8,1]=>[7,2,5,3,4,6,1,8]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[1,8,4,6,5,7,3,2]=>[2,3,7,5,6,4,8,1]=>[7,2,5,3,4,1,6,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[1,8,4,7,6,5,3,2]=>[2,3,5,6,7,4,8,1]=>[5,2,3,1,4,6,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,8,5,4,3,6,7,2]=>[2,7,6,3,4,5,8,1]=>[7,2,3,4,6,5,1,8]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[1,8,5,4,7,6,3,2]=>[2,3,6,7,4,5,8,1]=>[6,2,3,7,1,4,5,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,8,6,4,5,3,7,2]=>[2,7,3,5,4,6,8,1]=>[7,2,3,5,4,6,1,8]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]
[1,8,6,4,5,7,3,2]=>[2,3,7,5,4,6,8,1]=>[7,2,3,5,4,1,6,8]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]
[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]=>[6,2,3,5,4,1,7,8]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]
[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]=>[5,2,3,4,1,6,7,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[1,8,6,5,4,7,3,2]=>[2,3,7,4,5,6,8,1]=>[7,2,3,4,5,1,6,8]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[1,8,7,5,4,6,3,2]=>[2,3,6,4,5,7,8,1]=>[6,2,3,4,5,1,7,8]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[2,1,4,5,8,6,7,3]=>[3,7,6,8,5,4,1,2]=>[3,7,6,5,1,4,2,8]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[2,1,5,4,8,6,7,3]=>[3,7,6,8,4,5,1,2]=>[7,8,3,6,1,4,2,5]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,1,6,4,5,3,8,7]=>[7,8,3,5,4,6,1,2]=>[7,8,3,5,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[2,1,6,4,5,7,8,3]=>[3,8,7,5,4,6,1,2]=>[3,8,1,7,5,4,2,6]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[2,1,8,4,5,7,6,3]=>[3,6,7,5,4,8,1,2]=>[3,6,1,5,4,2,7,8]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[2,1,7,4,6,5,8,3]=>[3,8,5,6,4,7,1,2]=>[3,8,1,5,4,6,2,7]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,1,8,4,6,5,7,3]=>[3,7,5,6,4,8,1,2]=>[3,7,1,5,4,6,2,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,1,8,4,6,7,5,3]=>[3,5,7,6,4,8,1,2]=>[3,7,1,5,4,2,6,8]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[2,1,7,5,4,6,8,3]=>[3,8,6,4,5,7,1,2]=>[3,8,1,4,6,5,2,7]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]
[2,1,8,5,4,7,6,3]=>[3,6,7,4,5,8,1,2]=>[6,7,3,4,5,1,2,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[2,1,7,5,6,4,8,3]=>[3,8,4,6,5,7,1,2]=>[3,8,1,6,4,5,2,7]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,1,8,6,5,4,7,3]=>[3,7,4,5,6,8,1,2]=>[3,7,1,4,5,6,2,8]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,1,8,7,5,6,4,3]=>[3,4,6,5,7,8,1,2]=>[3,6,1,4,5,2,7,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[2,3,1,4,8,6,7,5]=>[5,7,6,8,4,1,3,2]=>[7,5,6,4,1,3,2,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[2,3,1,5,8,6,7,4]=>[4,7,6,8,5,1,3,2]=>[7,4,6,5,1,3,2,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[2,3,4,1,8,6,7,5]=>[5,7,6,8,1,4,3,2]=>[7,5,4,6,1,3,2,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[2,3,4,5,8,6,7,1]=>[1,7,6,8,5,4,3,2]=>[7,6,5,4,1,3,2,8]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[2,3,4,7,5,6,1,8]=>[8,1,6,5,7,4,3,2]=>[8,6,5,1,4,3,7,2]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]
[2,3,4,8,5,6,7,1]=>[1,7,6,5,8,4,3,2]=>[7,6,5,1,4,3,2,8]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[2,3,4,8,6,7,5,1]=>[1,5,7,6,8,4,3,2]=>[7,5,4,1,3,2,6,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[2,3,7,4,5,6,8,1]=>[1,8,6,5,4,7,3,2]=>[8,6,1,5,4,3,2,7]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[2,3,7,5,4,6,8,1]=>[1,8,6,4,5,7,3,2]=>[8,6,1,4,5,3,2,7]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[2,3,8,5,4,6,7,1]=>[1,7,6,4,5,8,3,2]=>[7,6,1,4,5,3,2,8]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[2,3,7,5,6,4,8,1]=>[1,8,4,6,5,7,3,2]=>[8,6,1,4,3,5,2,7]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,3,8,5,6,4,7,1]=>[1,7,4,6,5,8,3,2]=>[7,6,1,4,3,5,2,8]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,3,8,5,6,7,4,1]=>[1,4,7,6,5,8,3,2]=>[7,6,1,4,3,2,5,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[2,3,8,6,5,4,7,1]=>[1,7,4,5,6,8,3,2]=>[7,4,1,3,5,6,2,8]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[2,3,8,6,5,7,4,1]=>[1,4,7,5,6,8,3,2]=>[7,4,1,3,5,2,6,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[2,4,3,7,5,6,1,8]=>[8,1,6,5,7,3,4,2]=>[8,6,7,1,5,3,4,2]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[2,4,3,7,5,6,8,1]=>[1,8,6,5,7,3,4,2]=>[8,6,7,1,5,3,2,4]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[2,5,3,4,1,6,7,8]=>[8,7,6,1,4,3,5,2]=>[8,1,7,4,6,5,3,2]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]
[2,5,3,4,1,7,6,8]=>[8,6,7,1,4,3,5,2]=>[8,1,6,4,7,3,5,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]
[2,5,3,4,1,8,7,6]=>[6,7,8,1,4,3,5,2]=>[6,4,7,3,8,1,2,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[2,5,3,4,6,1,7,8]=>[8,7,1,6,4,3,5,2]=>[8,1,7,6,4,5,3,2]=>[[.,.],[[[[[.,.],.],[.,.]],.],.]]
[2,5,3,4,6,7,1,8]=>[8,1,7,6,4,3,5,2]=>[8,1,7,6,4,3,5,2]=>[[.,.],[[[[[.,.],.],.],[.,.]],.]]
[2,5,3,4,6,7,8,1]=>[1,8,7,6,4,3,5,2]=>[8,1,7,6,4,3,2,5]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[2,5,3,4,8,6,7,1]=>[1,7,6,8,4,3,5,2]=>[7,6,8,4,1,3,2,5]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[2,6,3,4,5,1,8,7]=>[7,8,1,5,4,3,6,2]=>[7,1,5,4,3,8,2,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[2,6,3,4,5,7,8,1]=>[1,8,7,5,4,3,6,2]=>[8,1,7,5,4,3,2,6]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[2,7,3,4,5,6,8,1]=>[1,8,6,5,4,3,7,2]=>[8,1,6,5,4,3,2,7]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[2,8,3,4,5,6,7,1]=>[1,7,6,5,4,3,8,2]=>[7,1,6,5,4,3,2,8]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[2,7,3,4,6,5,8,1]=>[1,8,5,6,4,3,7,2]=>[8,1,5,4,3,6,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[2,8,3,4,7,6,5,1]=>[1,5,6,7,4,3,8,2]=>[5,1,4,3,2,6,7,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[2,6,3,5,4,7,8,1]=>[1,8,7,4,5,3,6,2]=>[8,1,7,4,5,3,2,6]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[2,7,3,5,4,6,8,1]=>[1,8,6,4,5,3,7,2]=>[8,1,6,4,5,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[2,7,3,5,6,4,1,8]=>[8,1,4,6,5,3,7,2]=>[8,1,6,4,3,5,7,2]=>[[.,.],[[[[.,.],.],[.,[.,.]]],.]]
[2,7,3,5,6,4,8,1]=>[1,8,4,6,5,3,7,2]=>[8,1,6,4,3,5,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[2,7,3,6,5,4,1,8]=>[8,1,4,5,6,3,7,2]=>[8,1,4,3,5,6,7,2]=>[[.,.],[[[.,.],[.,[.,[.,.]]]],.]]
[2,7,3,6,5,4,8,1]=>[1,8,4,5,6,3,7,2]=>[8,1,4,3,5,6,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,8,3,7,6,5,4,1]=>[1,4,5,6,7,3,8,2]=>[4,1,3,2,5,6,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,5,4,3,8,6,7,1]=>[1,7,6,8,3,4,5,2]=>[7,1,6,8,3,4,2,5]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[2,6,4,3,5,1,8,7]=>[7,8,1,5,3,4,6,2]=>[7,1,3,5,4,8,2,6]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[2,6,4,3,5,8,7,1]=>[1,7,8,5,3,4,6,2]=>[7,1,5,8,3,2,4,6]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[2,8,4,3,5,7,6,1]=>[1,6,7,5,3,4,8,2]=>[6,1,5,7,3,2,4,8]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[2,8,4,3,6,7,5,1]=>[1,5,7,6,3,4,8,2]=>[7,1,5,6,3,2,4,8]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[2,6,4,5,3,1,7,8]=>[8,7,1,3,5,4,6,2]=>[8,1,7,3,5,6,4,2]=>[[.,.],[[[.,.],[[.,[.,.]],.]],.]]
[2,6,4,5,3,1,8,7]=>[7,8,1,3,5,4,6,2]=>[7,1,5,3,4,8,2,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,6,4,5,3,7,1,8]=>[8,1,7,3,5,4,6,2]=>[8,1,7,3,5,4,6,2]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]
[2,6,4,5,3,7,8,1]=>[1,8,7,3,5,4,6,2]=>[8,1,7,3,5,4,2,6]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[2,7,4,5,3,6,1,8]=>[8,1,6,3,5,4,7,2]=>[8,1,6,3,5,4,7,2]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]
[2,8,4,5,3,6,7,1]=>[1,7,6,3,5,4,8,2]=>[7,1,6,3,5,4,2,8]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[2,8,4,5,3,7,6,1]=>[1,6,7,3,5,4,8,2]=>[6,1,5,3,7,2,4,8]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[2,7,4,6,5,3,8,1]=>[1,8,3,5,6,4,7,2]=>[8,1,5,3,4,6,2,7]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,5,4,6,3,8,1]=>[1,8,3,6,4,5,7,2]=>[8,1,3,6,4,5,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[2,8,5,4,6,3,7,1]=>[1,7,3,6,4,5,8,2]=>[7,1,3,6,4,5,2,8]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[2,7,6,4,5,3,8,1]=>[1,8,3,5,4,6,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[2,8,7,4,6,5,3,1]=>[1,3,5,6,4,7,8,2]=>[5,1,3,4,2,6,7,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[2,8,6,5,4,3,7,1]=>[1,7,3,4,5,6,8,2]=>[7,1,3,4,5,6,2,8]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[2,8,7,5,4,6,3,1]=>[1,3,6,4,5,7,8,2]=>[6,1,3,4,5,2,7,8]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[2,8,7,5,6,4,3,1]=>[1,3,4,6,5,7,8,2]=>[6,1,3,4,2,5,7,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[3,2,1,7,5,6,4,8]=>[8,4,6,5,7,1,2,3]=>[4,6,8,1,7,2,5,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,2,1,7,5,6,8,4]=>[4,8,6,5,7,1,2,3]=>[4,6,8,1,7,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[3,2,1,8,5,6,7,4]=>[4,7,6,5,8,1,2,3]=>[4,7,8,1,6,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[3,2,1,8,5,7,6,4]=>[4,6,7,5,8,1,2,3]=>[4,6,7,1,5,2,3,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[3,2,1,8,6,5,7,4]=>[4,7,5,6,8,1,2,3]=>[4,5,7,1,2,6,3,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[3,2,4,1,8,6,7,5]=>[5,7,6,8,1,4,2,3]=>[5,7,6,8,1,4,2,3]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[3,2,4,5,8,6,7,1]=>[1,7,6,8,5,4,2,3]=>[7,8,6,5,1,4,2,3]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]
[3,2,5,4,8,6,7,1]=>[1,7,6,8,4,5,2,3]=>[7,8,4,6,1,5,2,3]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[3,2,6,4,5,1,7,8]=>[8,7,1,5,4,6,2,3]=>[5,8,1,7,2,6,4,3]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[3,2,6,4,5,1,8,7]=>[7,8,1,5,4,6,2,3]=>[7,8,1,5,4,6,2,3]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[3,2,6,4,5,7,8,1]=>[1,8,7,5,4,6,2,3]=>[5,8,1,7,6,4,2,3]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[3,2,6,4,5,8,7,1]=>[1,7,8,5,4,6,2,3]=>[7,8,5,6,4,1,2,3]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]
[3,2,7,4,5,6,1,8]=>[8,1,6,5,4,7,2,3]=>[6,8,1,7,5,2,4,3]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[3,2,7,4,6,5,8,1]=>[1,8,5,6,4,7,2,3]=>[5,8,1,6,2,4,3,7]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[3,2,8,4,6,5,7,1]=>[1,7,5,6,4,8,2,3]=>[5,7,1,6,2,4,3,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[3,2,8,4,7,6,5,1]=>[1,5,6,7,4,8,2,3]=>[5,6,1,4,2,3,7,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,2,7,5,4,6,1,8]=>[8,1,6,4,5,7,2,3]=>[4,8,1,2,6,5,7,3]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]
[3,2,7,5,4,6,8,1]=>[1,8,6,4,5,7,2,3]=>[4,8,1,2,6,5,3,7]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]
[3,2,7,5,6,4,8,1]=>[1,8,4,6,5,7,2,3]=>[4,8,1,6,2,5,3,7]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[3,2,8,5,6,4,7,1]=>[1,7,4,6,5,8,2,3]=>[4,7,1,6,2,5,3,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[3,2,8,6,5,7,4,1]=>[1,4,7,5,6,8,2,3]=>[4,7,1,2,5,3,6,8]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,2,3,1,5,7,6,8]=>[8,6,7,5,1,3,2,4]=>[1,8,6,7,5,3,4,2]=>[.,[[[[[.,.],[.,.]],.],[.,.]],.]]
[4,2,3,1,5,7,8,6]=>[6,8,7,5,1,3,2,4]=>[1,8,6,7,5,3,2,4]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[4,2,3,1,5,8,7,6]=>[6,7,8,5,1,3,2,4]=>[6,7,5,8,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]
[4,2,3,1,6,7,8,5]=>[5,8,7,6,1,3,2,4]=>[1,8,5,7,6,3,2,4]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[4,2,3,1,7,6,8,5]=>[5,8,6,7,1,3,2,4]=>[5,8,6,7,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[4,2,3,1,8,7,6,5]=>[5,6,7,8,1,3,2,4]=>[5,6,3,7,1,2,4,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[4,2,3,5,1,7,6,8]=>[8,6,7,1,5,3,2,4]=>[1,8,6,5,7,3,4,2]=>[.,[[[[[.,.],.],[.,.]],[.,.]],.]]
[4,2,3,5,1,7,8,6]=>[6,8,7,1,5,3,2,4]=>[1,8,6,5,7,3,2,4]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[4,2,3,5,1,8,7,6]=>[6,7,8,1,5,3,2,4]=>[6,7,5,3,8,1,2,4]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]
[4,2,3,5,6,1,8,7]=>[7,8,1,6,5,3,2,4]=>[1,7,6,5,3,8,2,4]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[4,2,3,5,6,8,7,1]=>[1,7,8,6,5,3,2,4]=>[7,8,6,5,3,1,2,4]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]
[4,2,3,5,7,6,1,8]=>[8,1,6,7,5,3,2,4]=>[6,8,7,5,1,3,4,2]=>[[[.,[[.,.],.]],.],[[.,[.,.]],.]]
[4,2,3,5,7,6,8,1]=>[1,8,6,7,5,3,2,4]=>[6,8,7,5,1,3,2,4]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]
[4,2,3,6,5,1,7,8]=>[8,7,1,5,6,3,2,4]=>[5,8,7,1,3,6,4,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]
[4,2,3,7,5,6,8,1]=>[1,8,6,5,7,3,2,4]=>[6,8,7,1,5,3,2,4]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[4,2,3,8,5,7,6,1]=>[1,6,7,5,8,3,2,4]=>[6,7,5,1,3,2,4,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[4,2,3,7,6,5,1,8]=>[8,1,5,6,7,3,2,4]=>[5,8,6,1,3,4,7,2]=>[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]
[4,2,3,7,6,5,8,1]=>[1,8,5,6,7,3,2,4]=>[5,8,6,1,3,4,2,7]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[5,2,3,4,1,6,8,7]=>[7,8,6,1,4,3,2,5]=>[1,7,6,4,8,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[5,2,3,4,1,7,8,6]=>[6,8,7,1,4,3,2,5]=>[1,8,6,4,7,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[5,2,3,4,1,8,7,6]=>[6,7,8,1,4,3,2,5]=>[6,7,4,3,8,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]
[5,2,3,4,8,6,7,1]=>[1,7,6,8,4,3,2,5]=>[7,8,6,4,1,3,2,5]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]
[6,2,3,4,5,8,7,1]=>[1,7,8,5,4,3,2,6]=>[7,8,5,4,3,1,2,6]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]
[8,2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2,8]=>[1,6,5,4,3,2,7,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[7,2,3,4,6,5,1,8]=>[8,1,5,6,4,3,2,7]=>[1,8,5,4,3,6,7,2]=>[.,[[[[[.,.],.],.],[.,[.,.]]],.]]
[7,2,3,4,6,5,8,1]=>[1,8,5,6,4,3,2,7]=>[1,8,5,4,3,6,2,7]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]=>[1,5,4,3,2,6,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[6,2,3,5,4,1,7,8]=>[8,7,1,4,5,3,2,6]=>[1,8,7,4,5,6,3,2]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]
[6,2,3,5,4,7,1,8]=>[8,1,7,4,5,3,2,6]=>[1,8,7,4,5,3,6,2]=>[.,[[[[[.,.],.],[.,.]],[.,.]],.]]
[6,2,3,5,4,7,8,1]=>[1,8,7,4,5,3,2,6]=>[1,8,7,4,5,3,2,6]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[6,2,3,5,4,8,7,1]=>[1,7,8,4,5,3,2,6]=>[1,7,4,3,8,2,5,6]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[7,2,3,5,4,6,1,8]=>[8,1,6,4,5,3,2,7]=>[1,8,6,4,5,3,7,2]=>[.,[[[[[.,.],.],[.,.]],[.,.]],.]]
[8,2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2,8]=>[1,7,6,4,5,3,2,8]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[8,2,3,5,4,7,6,1]=>[1,6,7,4,5,3,2,8]=>[1,6,4,3,7,2,5,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[7,2,3,5,6,4,1,8]=>[8,1,4,6,5,3,2,7]=>[1,8,6,4,3,5,7,2]=>[.,[[[[[.,.],.],.],[.,[.,.]]],.]]
[8,2,3,5,7,6,4,1]=>[1,4,6,7,5,3,2,8]=>[1,6,4,3,2,5,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[7,2,3,6,5,4,1,8]=>[8,1,4,5,6,3,2,7]=>[1,8,4,3,5,6,7,2]=>[.,[[[[.,.],.],[.,[.,[.,.]]]],.]]
[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]=>[1,6,4,3,5,2,7,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]=>[1,4,3,2,5,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,2,4,3,1,6,7,8]=>[8,7,6,1,3,4,2,5]=>[1,8,3,4,7,6,5,2]=>[.,[[[.,.],[.,[[[.,.],.],.]]],.]]
[5,2,4,3,1,7,6,8]=>[8,6,7,1,3,4,2,5]=>[1,8,3,6,7,4,5,2]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[5,2,4,3,1,7,8,6]=>[6,8,7,1,3,4,2,5]=>[1,8,3,6,7,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]
[5,2,4,3,1,8,7,6]=>[6,7,8,1,3,4,2,5]=>[1,6,3,7,8,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[5,2,4,3,6,1,7,8]=>[8,7,1,6,3,4,2,5]=>[1,8,3,7,4,6,5,2]=>[.,[[[.,.],[[.,.],[[.,.],.]]],.]]
[5,2,4,3,6,1,8,7]=>[7,8,1,6,3,4,2,5]=>[1,7,3,6,4,8,2,5]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,2,4,3,6,7,1,8]=>[8,1,7,6,3,4,2,5]=>[1,8,3,7,6,4,5,2]=>[.,[[[.,.],[[[.,.],.],[.,.]]],.]]
[5,2,4,3,6,8,7,1]=>[1,7,8,6,3,4,2,5]=>[1,7,6,8,3,2,4,5]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[5,2,4,3,7,6,1,8]=>[8,1,6,7,3,4,2,5]=>[1,8,6,7,3,4,5,2]=>[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]
[5,2,4,3,7,6,8,1]=>[1,8,6,7,3,4,2,5]=>[1,8,6,7,3,4,2,5]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[5,2,4,3,8,6,7,1]=>[1,7,6,8,3,4,2,5]=>[1,7,6,8,3,4,2,5]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[5,2,4,3,8,7,6,1]=>[1,6,7,8,3,4,2,5]=>[6,7,3,8,1,2,4,5]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[7,2,4,3,6,5,8,1]=>[1,8,5,6,3,4,2,7]=>[1,8,5,6,3,4,2,7]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[8,2,4,3,6,5,7,1]=>[1,7,5,6,3,4,2,8]=>[1,7,5,6,3,4,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[8,2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2,8]=>[1,5,3,6,2,4,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[6,2,4,5,3,7,1,8]=>[8,1,7,3,5,4,2,6]=>[1,8,7,3,5,4,6,2]=>[.,[[[[.,.],.],[[.,.],[.,.]]],.]]
[6,2,4,5,3,7,8,1]=>[1,8,7,3,5,4,2,6]=>[1,8,7,3,5,4,2,6]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[7,2,4,5,3,6,8,1]=>[1,8,6,3,5,4,2,7]=>[1,8,6,3,5,4,2,7]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[8,2,4,5,3,6,7,1]=>[1,7,6,3,5,4,2,8]=>[1,7,6,3,5,4,2,8]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[8,2,4,5,6,7,3,1]=>[1,3,7,6,5,4,2,8]=>[1,7,6,5,3,2,4,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[8,2,4,5,7,6,3,1]=>[1,3,6,7,5,4,2,8]=>[1,6,5,3,2,4,7,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[7,2,4,6,5,3,1,8]=>[8,1,3,5,6,4,2,7]=>[1,8,5,3,4,6,7,2]=>[.,[[[[.,.],.],[.,[.,[.,.]]]],.]]
[8,2,4,7,6,5,3,1]=>[1,3,5,6,7,4,2,8]=>[1,5,3,2,4,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,2,5,4,3,1,8,7]=>[7,8,1,3,4,5,2,6]=>[1,7,3,4,5,8,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,2,5,4,3,8,7,1]=>[1,7,8,3,4,5,2,6]=>[1,7,3,4,8,2,5,6]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[7,2,5,4,6,3,1,8]=>[8,1,3,6,4,5,2,7]=>[1,8,3,6,4,5,7,2]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[7,2,5,4,6,3,8,1]=>[1,8,3,6,4,5,2,7]=>[1,8,3,6,4,5,2,7]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[7,2,6,4,5,3,1,8]=>[8,1,3,5,4,6,2,7]=>[1,8,3,5,4,6,7,2]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]=>[1,6,3,5,4,2,7,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]=>[1,5,3,4,2,6,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,2,6,5,4,3,8,1]=>[1,8,3,4,5,6,2,7]=>[1,8,3,4,5,6,2,7]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2,8]=>[1,6,3,4,5,2,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[8,2,7,5,6,4,3,1]=>[1,3,4,6,5,7,2,8]=>[1,6,3,4,2,5,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]=>[1,3,2,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,3,2,1,8,6,7,5]=>[5,7,6,8,1,2,3,4]=>[1,5,7,8,2,6,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,3,2,7,5,6,8,1]=>[1,8,6,5,7,2,3,4]=>[1,6,8,2,7,5,3,4]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[4,3,2,8,5,7,6,1]=>[1,6,7,5,8,2,3,4]=>[6,7,8,1,5,2,3,4]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[4,3,2,8,6,7,5,1]=>[1,5,7,6,8,2,3,4]=>[5,7,8,1,6,2,3,4]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[5,3,2,4,1,6,8,7]=>[7,8,6,1,4,2,3,5]=>[1,2,7,6,8,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]
[5,3,2,4,1,8,7,6]=>[6,7,8,1,4,2,3,5]=>[1,6,7,4,8,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,3,2,4,8,6,7,1]=>[1,7,6,8,4,2,3,5]=>[1,7,8,6,2,4,3,5]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[5,3,2,4,8,7,6,1]=>[1,6,7,8,4,2,3,5]=>[6,7,8,4,1,2,3,5]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[6,3,2,4,5,1,8,7]=>[7,8,1,5,4,2,3,6]=>[1,2,7,5,4,8,3,6]=>[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]
[6,3,2,4,5,8,7,1]=>[1,7,8,5,4,2,3,6]=>[1,7,8,5,4,2,3,6]=>[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]
[7,3,2,4,6,5,1,8]=>[8,1,5,6,4,2,3,7]=>[1,5,8,6,2,4,7,3]=>[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]
[7,3,2,4,6,5,8,1]=>[1,8,5,6,4,2,3,7]=>[1,5,8,6,2,4,3,7]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[8,3,2,4,6,7,5,1]=>[1,5,7,6,4,2,3,8]=>[1,5,7,6,4,2,3,8]=>[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]
[8,3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3,8]=>[1,5,6,4,2,3,7,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[6,3,2,5,4,1,8,7]=>[7,8,1,4,5,2,3,6]=>[1,7,8,4,5,6,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[6,3,2,5,4,7,8,1]=>[1,8,7,4,5,2,3,6]=>[1,4,8,2,7,5,3,6]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[6,3,2,5,4,8,7,1]=>[1,7,8,4,5,2,3,6]=>[1,7,8,4,5,2,3,6]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[7,3,2,5,4,6,8,1]=>[1,8,6,4,5,2,3,7]=>[1,4,8,2,6,5,3,7]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[7,3,2,6,5,4,1,8]=>[8,1,4,5,6,2,3,7]=>[1,4,8,2,5,6,7,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[7,3,2,6,5,4,8,1]=>[1,8,4,5,6,2,3,7]=>[1,4,8,2,5,6,3,7]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3,8]=>[1,4,6,2,5,3,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[1,4,5,2,3,6,7,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,3,4,2,1,7,8,6]=>[6,8,7,1,2,4,3,5]=>[1,8,2,6,7,4,3,5]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[5,3,4,2,1,8,7,6]=>[6,7,8,1,2,4,3,5]=>[1,6,4,7,8,2,3,5]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[5,3,4,2,6,8,7,1]=>[1,7,8,6,2,4,3,5]=>[1,7,6,8,4,2,3,5]=>[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]
[5,3,4,2,7,6,8,1]=>[1,8,6,7,2,4,3,5]=>[1,8,6,7,2,4,3,5]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,3,4,2,8,6,7,1]=>[1,7,6,8,2,4,3,5]=>[1,7,6,8,2,4,3,5]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,3,4,2,8,7,6,1]=>[1,6,7,8,2,4,3,5]=>[6,7,4,8,1,2,3,5]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[6,3,4,2,5,1,8,7]=>[7,8,1,5,2,4,3,6]=>[1,7,2,5,4,8,3,6]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[7,3,4,2,6,5,1,8]=>[8,1,5,6,2,4,3,7]=>[1,8,5,6,2,4,7,3]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[7,3,4,2,6,5,8,1]=>[1,8,5,6,2,4,3,7]=>[1,8,5,6,2,4,3,7]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,3,4,2,7,6,5,1]=>[1,5,6,7,2,4,3,8]=>[1,5,4,6,2,3,7,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[7,3,4,6,5,2,8,1]=>[1,8,2,5,6,4,3,7]=>[1,8,5,2,4,6,3,7]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[8,3,4,6,5,2,7,1]=>[1,7,2,5,6,4,3,8]=>[1,7,5,2,4,6,3,8]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[8,3,4,7,6,5,2,1]=>[1,2,5,6,7,4,3,8]=>[1,5,4,2,3,6,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,3,5,4,2,1,7,8]=>[8,7,1,2,4,5,3,6]=>[1,8,2,4,5,7,6,3]=>[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]
[6,3,5,4,2,7,1,8]=>[8,1,7,2,4,5,3,6]=>[1,8,2,4,7,5,6,3]=>[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]
[6,3,5,4,2,8,7,1]=>[1,7,8,2,4,5,3,6]=>[1,7,2,4,8,3,5,6]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,3,5,4,2,6,7,1]=>[1,7,6,2,4,5,3,8]=>[1,7,2,4,6,5,3,8]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[7,3,6,4,5,2,1,8]=>[8,1,2,5,4,6,3,7]=>[1,8,2,5,4,6,7,3]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]
[8,3,6,4,5,2,7,1]=>[1,7,2,5,4,6,3,8]=>[1,7,2,5,4,6,3,8]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[8,3,6,4,5,7,2,1]=>[1,2,7,5,4,6,3,8]=>[1,7,2,5,4,3,6,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,3,7,4,6,5,2,1]=>[1,2,5,6,4,7,3,8]=>[1,5,2,4,3,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,3,6,5,4,2,1,8]=>[8,1,2,4,5,6,3,7]=>[1,8,2,4,5,6,7,3]=>[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]
[8,3,6,5,4,2,7,1]=>[1,7,2,4,5,6,3,8]=>[1,7,2,4,5,6,3,8]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[8,3,7,5,6,4,2,1]=>[1,2,4,6,5,7,3,8]=>[1,6,2,4,3,5,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,3,7,6,5,4,2,1]=>[1,2,4,5,6,7,3,8]=>[1,4,2,3,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,4,3,2,8,6,7,1]=>[1,7,6,8,2,3,4,5]=>[1,2,7,8,3,6,4,5]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[7,4,3,2,6,5,8,1]=>[1,8,5,6,2,3,4,7]=>[1,2,5,8,3,6,4,7]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[8,4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4,8]=>[1,2,5,7,3,6,4,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[8,4,3,2,6,7,5,1]=>[1,5,7,6,2,3,4,8]=>[1,2,5,7,6,3,4,8]=>[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]
[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,4,3,5,2,1,8,7]=>[7,8,1,2,5,3,4,6]=>[1,2,7,3,5,8,4,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[6,4,3,5,2,8,7,1]=>[1,7,8,2,5,3,4,6]=>[1,2,7,5,8,3,4,6]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,4,3,6,5,2,1,8]=>[8,1,2,5,6,3,4,7]=>[1,5,8,2,3,6,7,4]=>[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]
[7,4,3,6,5,2,8,1]=>[1,8,2,5,6,3,4,7]=>[1,5,8,2,3,6,4,7]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,4,3,6,5,2,7,1]=>[1,7,2,5,6,3,4,8]=>[1,5,7,2,3,6,4,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,5,3,4,2,1,8,7]=>[7,8,1,2,4,3,5,6]=>[1,2,7,4,5,8,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]
[6,5,3,4,2,8,7,1]=>[1,7,8,2,4,3,5,6]=>[1,2,7,4,8,3,5,6]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,5,3,4,2,7,6,1]=>[1,6,7,2,4,3,5,8]=>[1,2,6,4,7,3,5,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]=>[1,2,5,4,3,6,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,6,3,5,4,2,1,8]=>[8,1,2,4,5,3,6,7]=>[1,2,8,4,5,6,7,3]=>[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]
[8,7,3,5,6,4,2,1]=>[1,2,4,6,5,3,7,8]=>[1,2,6,4,3,5,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]=>[1,2,4,3,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[1,2,3,6,7,4,5,8]=>[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]
[8,5,4,3,7,6,2,1]=>[1,2,6,7,3,4,5,8]=>[1,2,6,7,3,4,5,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,7,4,6,5,3,2,1]=>[1,2,3,5,6,4,7,8]=>[1,2,5,3,4,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,4,1,3,6,5,8,7]=>[7,8,5,6,3,1,4,2]=>[7,5,8,6,3,4,1,2]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[2,1,4,6,3,5,8,7]=>[7,8,5,3,6,4,1,2]=>[7,8,5,3,6,4,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]
[2,4,1,6,3,5,8,7]=>[7,8,5,3,6,1,4,2]=>[7,5,8,3,6,4,1,2]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[2,4,6,1,3,5,8,7]=>[7,8,5,3,1,6,4,2]=>[7,5,3,8,6,4,1,2]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[2,1,4,3,6,8,5,7]=>[7,5,8,6,3,4,1,2]=>[7,8,5,6,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[2,4,1,3,6,8,5,7]=>[7,5,8,6,3,1,4,2]=>[7,5,8,6,3,1,4,2]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[2,4,1,6,3,8,5,7]=>[7,5,8,3,6,1,4,2]=>[7,5,8,3,6,1,4,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[2,4,6,1,3,8,5,7]=>[7,5,8,3,1,6,4,2]=>[7,5,3,8,6,1,4,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[2,1,4,6,8,3,5,7]=>[7,5,3,8,6,4,1,2]=>[7,8,5,3,1,6,4,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[2,4,1,6,8,3,5,7]=>[7,5,3,8,6,1,4,2]=>[7,5,8,3,1,6,4,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[2,4,6,1,8,3,5,7]=>[7,5,3,8,1,6,4,2]=>[7,5,3,8,1,6,4,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2]=>[7,5,3,1,8,6,4,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[2,4,1,3,6,5,7,8]=>[8,7,5,6,3,1,4,2]=>[5,3,8,7,1,6,4,2]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[2,1,4,6,3,5,7,8]=>[8,7,5,3,6,4,1,2]=>[5,8,3,1,7,6,4,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]
[2,4,6,1,3,5,7,8]=>[8,7,5,3,1,6,4,2]=>[5,3,1,8,7,6,4,2]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[2,4,1,3,6,7,5,8]=>[8,5,7,6,3,1,4,2]=>[5,3,8,7,6,1,4,2]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]
[2,4,1,6,3,7,5,8]=>[8,5,7,3,6,1,4,2]=>[8,5,7,3,6,1,4,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[2,4,6,1,3,7,5,8]=>[8,5,7,3,1,6,4,2]=>[8,5,3,7,6,1,4,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[2,1,4,6,7,3,5,8]=>[8,5,3,7,6,4,1,2]=>[5,8,7,3,1,6,4,2]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]
[2,4,1,6,7,3,5,8]=>[8,5,3,7,6,1,4,2]=>[8,5,7,3,1,6,4,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[2,4,6,1,7,3,5,8]=>[8,5,3,7,1,6,4,2]=>[8,5,3,7,1,6,4,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[2,4,1,3,6,7,8,5]=>[5,8,7,6,3,1,4,2]=>[5,3,8,7,6,4,1,2]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]
[2,4,1,6,3,7,8,5]=>[5,8,7,3,6,1,4,2]=>[8,5,7,3,6,4,1,2]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[2,4,6,1,3,7,8,5]=>[5,8,7,3,1,6,4,2]=>[8,5,3,7,6,4,1,2]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[2,1,4,6,7,3,8,5]=>[5,8,3,7,6,4,1,2]=>[5,8,7,6,3,4,1,2]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]
[2,4,1,6,7,3,8,5]=>[5,8,3,7,6,1,4,2]=>[8,5,7,6,3,4,1,2]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[2,4,6,1,7,3,8,5]=>[5,8,3,7,1,6,4,2]=>[8,7,5,6,3,4,1,2]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[2,4,6,7,1,3,8,5]=>[5,8,3,1,7,6,4,2]=>[8,7,5,3,6,4,1,2]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[2,1,4,6,7,8,3,5]=>[5,3,8,7,6,4,1,2]=>[5,8,7,6,3,1,4,2]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]
[2,4,1,6,7,8,3,5]=>[5,3,8,7,6,1,4,2]=>[8,5,7,6,3,1,4,2]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[2,4,6,1,7,8,3,5]=>[5,3,8,7,1,6,4,2]=>[8,7,5,6,3,1,4,2]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]
[2,4,6,7,8,1,3,5]=>[5,3,1,8,7,6,4,2]=>[8,7,5,3,1,6,4,2]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[2,1,4,3,7,5,8,6]=>[6,8,5,7,3,4,1,2]=>[6,8,5,7,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[2,4,1,3,7,5,8,6]=>[6,8,5,7,3,1,4,2]=>[6,5,8,7,3,4,1,2]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[2,4,7,1,3,5,8,6]=>[6,8,5,3,1,7,4,2]=>[6,5,3,8,7,4,1,2]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[2,1,4,3,7,8,5,6]=>[6,5,8,7,3,4,1,2]=>[6,8,5,7,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[2,4,1,3,7,8,5,6]=>[6,5,8,7,3,1,4,2]=>[6,5,8,7,3,1,4,2]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[2,4,1,7,3,8,5,6]=>[6,5,8,3,7,1,4,2]=>[6,5,8,3,7,1,4,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[2,4,7,1,3,8,5,6]=>[6,5,8,3,1,7,4,2]=>[6,5,3,8,7,1,4,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[2,1,4,7,8,3,5,6]=>[6,5,3,8,7,4,1,2]=>[6,8,5,3,1,7,4,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[2,4,7,8,1,3,5,6]=>[6,5,3,1,8,7,4,2]=>[6,5,3,1,8,7,4,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[2,4,1,3,5,7,6,8]=>[8,6,7,5,3,1,4,2]=>[6,3,8,7,5,1,4,2]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]
[2,4,1,5,3,7,6,8]=>[8,6,7,3,5,1,4,2]=>[8,6,7,3,5,1,4,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[2,4,5,1,7,3,6,8]=>[8,6,3,7,1,5,4,2]=>[8,6,3,7,1,5,4,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[2,4,5,7,1,3,6,8]=>[8,6,3,1,7,5,4,2]=>[8,6,3,1,7,5,4,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[2,4,1,3,5,7,8,6]=>[6,8,7,5,3,1,4,2]=>[6,3,8,7,5,4,1,2]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]
[2,1,4,5,7,3,8,6]=>[6,8,3,7,5,4,1,2]=>[6,8,7,5,3,4,1,2]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]
[2,4,5,1,7,3,8,6]=>[6,8,3,7,1,5,4,2]=>[8,6,5,7,3,4,1,2]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[2,1,4,5,7,8,3,6]=>[6,3,8,7,5,4,1,2]=>[6,8,7,5,3,1,4,2]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]
[2,4,1,5,7,8,3,6]=>[6,3,8,7,5,1,4,2]=>[8,6,7,5,3,1,4,2]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]
[2,1,4,3,8,5,6,7]=>[7,6,5,8,3,4,1,2]=>[7,8,3,6,1,5,4,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[2,4,1,3,8,5,6,7]=>[7,6,5,8,3,1,4,2]=>[7,3,8,6,1,5,4,2]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[2,1,4,8,3,5,6,7]=>[7,6,5,3,8,4,1,2]=>[7,8,3,1,6,5,4,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]
[2,4,8,1,3,5,6,7]=>[7,6,5,3,1,8,4,2]=>[7,3,1,8,6,5,4,2]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[2,1,4,3,5,8,6,7]=>[7,6,8,5,3,4,1,2]=>[7,8,3,6,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[2,4,1,5,3,8,6,7]=>[7,6,8,3,5,1,4,2]=>[7,6,8,3,5,1,4,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[2,4,5,1,3,8,6,7]=>[7,6,8,3,1,5,4,2]=>[7,6,3,8,5,1,4,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[2,1,4,5,8,3,6,7]=>[7,6,3,8,5,4,1,2]=>[7,8,6,3,1,5,4,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[2,4,1,5,8,3,6,7]=>[7,6,3,8,5,1,4,2]=>[7,6,8,3,1,5,4,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[2,4,5,1,8,3,6,7]=>[7,6,3,8,1,5,4,2]=>[7,6,3,8,1,5,4,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[2,4,5,1,3,6,8,7]=>[7,8,6,3,1,5,4,2]=>[7,6,3,8,5,4,1,2]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[2,4,1,5,6,3,8,7]=>[7,8,3,6,5,1,4,2]=>[7,6,8,5,3,4,1,2]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]
[2,4,5,1,6,3,8,7]=>[7,8,3,6,1,5,4,2]=>[7,6,5,8,3,4,1,2]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[2,4,5,6,1,3,8,7]=>[7,8,3,1,6,5,4,2]=>[7,6,5,3,8,4,1,2]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[2,4,5,1,6,8,3,7]=>[7,3,8,6,1,5,4,2]=>[7,6,5,8,3,1,4,2]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]
[2,4,5,6,8,1,3,7]=>[7,3,1,8,6,5,4,2]=>[7,6,5,3,1,8,4,2]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[2,4,1,3,5,6,7,8]=>[8,7,6,5,3,1,4,2]=>[3,1,8,7,6,5,4,2]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[2,4,1,5,3,6,7,8]=>[8,7,6,3,5,1,4,2]=>[8,3,7,1,6,5,4,2]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]
[2,4,5,1,3,6,7,8]=>[8,7,6,3,1,5,4,2]=>[8,3,1,7,6,5,4,2]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[2,4,1,5,6,3,7,8]=>[8,7,3,6,5,1,4,2]=>[8,3,7,6,1,5,4,2]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[2,4,5,1,6,3,7,8]=>[8,7,3,6,1,5,4,2]=>[8,7,3,6,1,5,4,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[2,4,5,6,1,3,7,8]=>[8,7,3,1,6,5,4,2]=>[8,7,3,1,6,5,4,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[2,4,1,5,6,7,3,8]=>[8,3,7,6,5,1,4,2]=>[8,3,7,6,5,1,4,2]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]
[2,4,5,1,6,7,3,8]=>[8,3,7,6,1,5,4,2]=>[8,7,3,6,5,1,4,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[2,4,5,6,1,7,3,8]=>[8,3,7,1,6,5,4,2]=>[8,7,6,3,5,1,4,2]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[2,4,5,6,1,7,8,3]=>[3,8,7,1,6,5,4,2]=>[8,7,6,3,5,4,1,2]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[2,4,5,6,7,1,8,3]=>[3,8,1,7,6,5,4,2]=>[8,7,6,5,3,4,1,2]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[2,4,5,6,7,8,1,3]=>[3,1,8,7,6,5,4,2]=>[8,7,6,5,3,1,4,2]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[2,1,5,3,6,4,8,7]=>[7,8,4,6,3,5,1,2]=>[7,8,4,6,3,5,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[2,1,5,6,3,4,8,7]=>[7,8,4,3,6,5,1,2]=>[7,8,4,3,6,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]
[2,5,1,6,3,4,8,7]=>[7,8,4,3,6,1,5,2]=>[7,4,8,3,6,5,1,2]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[2,5,1,3,6,8,4,7]=>[7,4,8,6,3,1,5,2]=>[7,4,8,6,3,1,5,2]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[2,5,1,6,3,8,4,7]=>[7,4,8,3,6,1,5,2]=>[7,4,8,3,6,1,5,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[2,5,6,1,3,8,4,7]=>[7,4,8,3,1,6,5,2]=>[7,4,3,8,6,1,5,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[2,5,1,6,8,3,4,7]=>[7,4,3,8,6,1,5,2]=>[7,4,8,3,1,6,5,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[2,5,6,1,8,3,4,7]=>[7,4,3,8,1,6,5,2]=>[7,4,3,8,1,6,5,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[2,5,6,8,1,3,4,7]=>[7,4,3,1,8,6,5,2]=>[7,4,3,1,8,6,5,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[2,1,5,3,6,4,7,8]=>[8,7,4,6,3,5,1,2]=>[4,8,3,7,1,6,5,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[2,1,5,6,3,4,7,8]=>[8,7,4,3,6,5,1,2]=>[4,8,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]
[2,5,1,6,3,4,7,8]=>[8,7,4,3,6,1,5,2]=>[4,3,8,1,7,6,5,2]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]
[2,1,5,3,6,7,4,8]=>[8,4,7,6,3,5,1,2]=>[4,8,3,7,6,1,5,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[2,5,1,3,6,7,4,8]=>[8,4,7,6,3,1,5,2]=>[4,3,8,7,6,1,5,2]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]
[2,1,5,6,3,7,4,8]=>[8,4,7,3,6,5,1,2]=>[4,8,7,3,6,1,5,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]
[2,5,1,6,3,7,4,8]=>[8,4,7,3,6,1,5,2]=>[8,4,7,3,6,1,5,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[2,5,6,1,3,7,4,8]=>[8,4,7,3,1,6,5,2]=>[8,4,3,7,6,1,5,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[2,1,5,6,7,3,4,8]=>[8,4,3,7,6,5,1,2]=>[4,8,7,3,1,6,5,2]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]
[2,5,1,6,7,3,4,8]=>[8,4,3,7,6,1,5,2]=>[8,4,7,3,1,6,5,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[2,5,6,1,7,3,4,8]=>[8,4,3,7,1,6,5,2]=>[8,4,3,7,1,6,5,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[2,5,6,7,1,3,4,8]=>[8,4,3,1,7,6,5,2]=>[8,4,3,1,7,6,5,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[2,5,1,3,6,7,8,4]=>[4,8,7,6,3,1,5,2]=>[4,3,8,7,6,5,1,2]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]
[2,1,5,6,3,7,8,4]=>[4,8,7,3,6,5,1,2]=>[4,8,7,3,6,5,1,2]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]
[2,5,1,6,3,7,8,4]=>[4,8,7,3,6,1,5,2]=>[8,4,7,3,6,5,1,2]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[2,5,6,1,3,7,8,4]=>[4,8,7,3,1,6,5,2]=>[8,4,3,7,6,5,1,2]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[2,5,1,6,7,3,8,4]=>[4,8,3,7,6,1,5,2]=>[8,4,7,6,3,5,1,2]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[2,5,6,1,7,3,8,4]=>[4,8,3,7,1,6,5,2]=>[8,7,4,6,3,5,1,2]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[2,5,6,7,1,3,8,4]=>[4,8,3,1,7,6,5,2]=>[8,7,4,3,6,5,1,2]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[2,1,5,6,7,8,3,4]=>[4,3,8,7,6,5,1,2]=>[4,8,7,6,3,1,5,2]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]
[2,5,1,6,7,8,3,4]=>[4,3,8,7,6,1,5,2]=>[8,4,7,6,3,1,5,2]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[2,5,6,7,1,8,3,4]=>[4,3,8,1,7,6,5,2]=>[8,7,4,3,6,1,5,2]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[2,1,5,3,7,4,8,6]=>[6,8,4,7,3,5,1,2]=>[6,8,4,7,3,5,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[2,5,1,3,7,4,8,6]=>[6,8,4,7,3,1,5,2]=>[6,4,8,7,3,5,1,2]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[2,1,5,7,3,4,8,6]=>[6,8,4,3,7,5,1,2]=>[6,8,4,3,7,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]
[2,5,1,7,3,4,8,6]=>[6,8,4,3,7,1,5,2]=>[6,4,8,3,7,5,1,2]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[2,5,7,1,3,4,8,6]=>[6,8,4,3,1,7,5,2]=>[6,4,3,8,7,5,1,2]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[2,1,5,3,7,8,4,6]=>[6,4,8,7,3,5,1,2]=>[6,8,4,7,3,1,5,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[2,5,1,3,7,8,4,6]=>[6,4,8,7,3,1,5,2]=>[6,4,8,7,3,1,5,2]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[2,1,5,7,3,8,4,6]=>[6,4,8,3,7,5,1,2]=>[6,8,4,3,7,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[2,5,1,7,3,8,4,6]=>[6,4,8,3,7,1,5,2]=>[6,4,8,3,7,1,5,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[2,5,7,1,3,8,4,6]=>[6,4,8,3,1,7,5,2]=>[6,4,3,8,7,1,5,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[2,1,5,7,8,3,4,6]=>[6,4,3,8,7,5,1,2]=>[6,8,4,3,1,7,5,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[2,5,1,7,8,3,4,6]=>[6,4,3,8,7,1,5,2]=>[6,4,8,3,1,7,5,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[2,5,7,1,8,3,4,6]=>[6,4,3,8,1,7,5,2]=>[6,4,3,8,1,7,5,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[2,5,7,8,1,3,4,6]=>[6,4,3,1,8,7,5,2]=>[6,4,3,1,8,7,5,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[2,1,5,3,7,4,6,8]=>[8,6,4,7,3,5,1,2]=>[6,8,4,7,1,5,3,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[2,5,1,7,3,4,6,8]=>[8,6,4,3,7,1,5,2]=>[6,4,8,1,7,5,3,2]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]
[2,3,5,1,4,7,6,8]=>[8,6,7,4,1,5,3,2]=>[8,6,4,7,5,1,3,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[2,3,1,5,7,4,6,8]=>[8,6,4,7,5,1,3,2]=>[8,6,7,4,1,5,3,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[2,3,5,1,7,4,6,8]=>[8,6,4,7,1,5,3,2]=>[8,6,4,7,1,5,3,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[2,3,5,7,1,4,6,8]=>[8,6,4,1,7,5,3,2]=>[8,6,4,1,7,5,3,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[2,1,5,3,4,7,8,6]=>[6,8,7,4,3,5,1,2]=>[6,8,4,7,5,3,1,2]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]
[2,1,3,5,7,4,8,6]=>[6,8,4,7,5,3,1,2]=>[6,8,7,4,3,5,1,2]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]
[2,3,5,1,7,4,8,6]=>[6,8,4,7,1,5,3,2]=>[8,6,4,7,3,5,1,2]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[2,3,5,7,1,4,8,6]=>[6,8,4,1,7,5,3,2]=>[8,6,4,3,7,5,1,2]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[2,3,5,7,1,8,4,6]=>[6,4,8,1,7,5,3,2]=>[8,6,4,3,7,1,5,2]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[2,5,1,3,8,4,6,7]=>[7,6,4,8,3,1,5,2]=>[7,4,8,6,1,5,3,2]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[2,1,5,8,3,4,6,7]=>[7,6,4,3,8,5,1,2]=>[7,8,4,1,6,5,3,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]
[2,5,1,8,3,4,6,7]=>[7,6,4,3,8,1,5,2]=>[7,4,8,1,6,5,3,2]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]
[2,5,8,1,3,4,6,7]=>[7,6,4,3,1,8,5,2]=>[7,4,1,8,6,5,3,2]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[2,5,1,3,4,8,6,7]=>[7,6,8,4,3,1,5,2]=>[7,4,8,6,5,1,3,2]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]
[2,3,5,1,4,8,6,7]=>[7,6,8,4,1,5,3,2]=>[7,6,4,8,5,1,3,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[2,3,1,5,8,4,6,7]=>[7,6,4,8,5,1,3,2]=>[7,6,8,4,1,5,3,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[2,3,5,1,8,4,6,7]=>[7,6,4,8,1,5,3,2]=>[7,6,4,8,1,5,3,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[2,3,5,8,1,4,6,7]=>[7,6,4,1,8,5,3,2]=>[7,6,4,1,8,5,3,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[2,5,1,3,4,6,8,7]=>[7,8,6,4,3,1,5,2]=>[7,4,8,6,5,3,1,2]=>[[[[.,.],[[[.,.],.],.]],.],[.,.]]
[2,3,5,6,1,4,8,7]=>[7,8,4,1,6,5,3,2]=>[7,6,4,3,8,5,1,2]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[2,1,3,5,6,8,4,7]=>[7,4,8,6,5,3,1,2]=>[7,8,6,4,3,1,5,2]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]
[2,3,1,5,6,8,4,7]=>[7,4,8,6,5,1,3,2]=>[7,6,8,4,3,1,5,2]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]
[2,3,5,1,6,8,4,7]=>[7,4,8,6,1,5,3,2]=>[7,6,4,8,3,1,5,2]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]
[2,3,5,6,1,8,4,7]=>[7,4,8,1,6,5,3,2]=>[7,6,4,3,8,1,5,2]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[2,3,5,6,8,1,4,7]=>[7,4,1,8,6,5,3,2]=>[7,6,4,3,1,8,5,2]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[2,5,1,3,4,6,7,8]=>[8,7,6,4,3,1,5,2]=>[4,1,8,7,6,5,3,2]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[2,3,5,1,4,6,7,8]=>[8,7,6,4,1,5,3,2]=>[8,4,1,7,6,5,3,2]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[2,3,5,1,6,4,7,8]=>[8,7,4,6,1,5,3,2]=>[8,7,4,6,1,5,3,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[2,3,5,6,1,4,7,8]=>[8,7,4,1,6,5,3,2]=>[8,7,4,1,6,5,3,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[2,3,5,6,1,7,4,8]=>[8,4,7,1,6,5,3,2]=>[8,7,6,4,5,1,3,2]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[2,3,5,6,7,1,4,8]=>[8,4,1,7,6,5,3,2]=>[8,7,6,4,1,5,3,2]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[2,3,5,1,6,7,8,4]=>[4,8,7,6,1,5,3,2]=>[8,7,4,6,5,3,1,2]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]
[2,3,5,6,1,7,8,4]=>[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,1,2]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]
[2,3,5,6,7,8,1,4]=>[4,1,8,7,6,5,3,2]=>[8,7,6,4,3,1,5,2]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[2,1,6,3,7,4,8,5]=>[5,8,4,7,3,6,1,2]=>[5,8,4,7,3,6,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[2,6,1,3,7,4,8,5]=>[5,8,4,7,3,1,6,2]=>[5,4,8,7,3,6,1,2]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[2,1,6,7,3,4,8,5]=>[5,8,4,3,7,6,1,2]=>[5,8,4,3,7,6,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]
[2,6,1,7,3,4,8,5]=>[5,8,4,3,7,1,6,2]=>[5,4,8,3,7,6,1,2]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[2,6,7,1,3,4,8,5]=>[5,8,4,3,1,7,6,2]=>[5,4,3,8,7,6,1,2]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[2,1,6,3,7,8,4,5]=>[5,4,8,7,3,6,1,2]=>[5,8,4,7,3,1,6,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[2,1,6,7,3,8,4,5]=>[5,4,8,3,7,6,1,2]=>[5,8,4,3,7,1,6,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[2,6,1,7,3,8,4,5]=>[5,4,8,3,7,1,6,2]=>[5,4,8,3,7,1,6,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[2,6,7,1,3,8,4,5]=>[5,4,8,3,1,7,6,2]=>[5,4,3,8,7,1,6,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[2,1,6,7,8,3,4,5]=>[5,4,3,8,7,6,1,2]=>[5,8,4,3,1,7,6,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[2,6,1,7,8,3,4,5]=>[5,4,3,8,7,1,6,2]=>[5,4,8,3,1,7,6,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[2,6,7,1,8,3,4,5]=>[5,4,3,8,1,7,6,2]=>[5,4,3,8,1,7,6,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[2,1,6,3,7,4,5,8]=>[8,5,4,7,3,6,1,2]=>[5,8,4,7,1,6,3,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[2,6,7,1,3,4,5,8]=>[8,5,4,3,1,7,6,2]=>[5,4,1,8,7,6,3,2]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[2,3,1,6,4,7,5,8]=>[8,5,7,4,6,1,3,2]=>[8,5,7,4,6,1,3,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[2,3,6,1,4,7,5,8]=>[8,5,7,4,1,6,3,2]=>[8,5,4,7,6,1,3,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[2,1,3,6,7,4,5,8]=>[8,5,4,7,6,3,1,2]=>[5,8,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]
[2,3,6,1,7,4,5,8]=>[8,5,4,7,1,6,3,2]=>[8,5,4,7,1,6,3,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[2,3,6,7,1,4,5,8]=>[8,5,4,1,7,6,3,2]=>[8,5,4,1,7,6,3,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[2,1,6,3,4,7,8,5]=>[5,8,7,4,3,6,1,2]=>[5,8,4,7,6,3,1,2]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]
[2,6,1,3,4,7,8,5]=>[5,8,7,4,3,1,6,2]=>[5,4,8,7,6,3,1,2]=>[[[[.,.],[[[.,.],.],.]],.],[.,.]]
[2,1,3,6,4,7,8,5]=>[5,8,7,4,6,3,1,2]=>[5,8,7,4,6,3,1,2]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]]
[2,3,6,1,4,7,8,5]=>[5,8,7,4,1,6,3,2]=>[8,5,4,7,6,3,1,2]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]
[2,1,3,6,7,4,8,5]=>[5,8,4,7,6,3,1,2]=>[5,8,7,4,3,6,1,2]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]
[2,3,6,1,7,4,8,5]=>[5,8,4,7,1,6,3,2]=>[8,5,4,7,3,6,1,2]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[2,3,6,7,1,4,8,5]=>[5,8,4,1,7,6,3,2]=>[8,5,4,3,7,6,1,2]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[2,1,3,6,7,8,4,5]=>[5,4,8,7,6,3,1,2]=>[5,8,7,4,3,1,6,2]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]
[2,3,1,6,7,8,4,5]=>[5,4,8,7,6,1,3,2]=>[8,5,7,4,3,1,6,2]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]
[2,3,6,7,8,1,4,5]=>[5,4,1,8,7,6,3,2]=>[8,5,4,3,1,7,6,2]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[2,6,1,8,3,4,5,7]=>[7,5,4,3,8,1,6,2]=>[7,5,8,1,6,4,3,2]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]
[2,6,8,1,3,4,5,7]=>[7,5,4,3,1,8,6,2]=>[7,5,1,8,6,4,3,2]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,4,8,5,7]=>[7,5,8,4,3,6,1,2]=>[7,8,5,6,4,1,3,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[2,6,1,3,4,8,5,7]=>[7,5,8,4,3,1,6,2]=>[7,5,8,6,4,1,3,2]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[2,3,1,6,4,8,5,7]=>[7,5,8,4,6,1,3,2]=>[7,5,8,4,6,1,3,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[2,1,3,6,8,4,5,7]=>[7,5,4,8,6,3,1,2]=>[7,8,5,4,1,6,3,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[2,3,1,6,8,4,5,7]=>[7,5,4,8,6,1,3,2]=>[7,5,8,4,1,6,3,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[2,3,6,1,8,4,5,7]=>[7,5,4,8,1,6,3,2]=>[7,5,4,8,1,6,3,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[2,1,6,3,4,5,8,7]=>[7,8,5,4,3,6,1,2]=>[7,8,5,6,4,3,1,2]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]
[2,3,6,1,4,5,8,7]=>[7,8,5,4,1,6,3,2]=>[7,5,4,8,6,3,1,2]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]
[2,3,1,4,6,8,5,7]=>[7,5,8,6,4,1,3,2]=>[7,5,8,4,3,1,6,2]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]
[2,3,4,6,1,8,5,7]=>[7,5,8,1,6,4,3,2]=>[7,5,4,3,8,1,6,2]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[2,3,4,6,8,1,5,7]=>[7,5,1,8,6,4,3,2]=>[7,5,4,3,1,8,6,2]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[2,6,1,3,4,5,7,8]=>[8,7,5,4,3,1,6,2]=>[5,1,8,7,6,4,3,2]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[2,1,3,6,4,5,7,8]=>[8,7,5,4,6,3,1,2]=>[5,8,7,1,6,4,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[2,3,1,6,4,5,7,8]=>[8,7,5,4,6,1,3,2]=>[8,5,7,1,6,4,3,2]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]
[2,3,6,1,4,5,7,8]=>[8,7,5,4,1,6,3,2]=>[8,5,1,7,6,4,3,2]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[2,3,4,6,1,5,7,8]=>[8,7,5,1,6,4,3,2]=>[8,7,5,1,6,4,3,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[2,3,4,6,1,7,5,8]=>[8,5,7,1,6,4,3,2]=>[8,7,5,4,6,1,3,2]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[2,3,4,6,7,1,5,8]=>[8,5,1,7,6,4,3,2]=>[8,7,5,4,1,6,3,2]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[2,3,4,6,1,7,8,5]=>[5,8,7,1,6,4,3,2]=>[8,7,5,4,6,3,1,2]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]
[2,3,4,6,7,8,1,5]=>[5,1,8,7,6,4,3,2]=>[8,7,5,4,3,1,6,2]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[2,1,7,3,8,4,5,6]=>[6,5,4,8,3,7,1,2]=>[6,8,5,7,1,4,3,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[2,1,7,8,3,4,5,6]=>[6,5,4,3,8,7,1,2]=>[6,8,5,1,7,4,3,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]
[2,7,1,8,3,4,5,6]=>[6,5,4,3,8,1,7,2]=>[6,5,8,1,7,4,3,2]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]
[2,7,8,1,3,4,5,6]=>[6,5,4,3,1,8,7,2]=>[6,5,1,8,7,4,3,2]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[2,7,1,3,4,8,5,6]=>[6,5,8,4,3,1,7,2]=>[6,5,8,7,4,1,3,2]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[2,3,1,7,4,8,5,6]=>[6,5,8,4,7,1,3,2]=>[6,5,8,4,7,1,3,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[2,3,7,1,4,8,5,6]=>[6,5,8,4,1,7,3,2]=>[6,5,4,8,7,1,3,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[2,3,1,7,8,4,5,6]=>[6,5,4,8,7,1,3,2]=>[6,5,8,4,1,7,3,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[2,3,7,8,1,4,5,6]=>[6,5,4,1,8,7,3,2]=>[6,5,4,1,8,7,3,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[2,7,1,3,4,5,8,6]=>[6,8,5,4,3,1,7,2]=>[6,5,8,7,4,3,1,2]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]
[2,3,4,1,7,5,8,6]=>[6,8,5,7,1,4,3,2]=>[6,5,4,8,3,7,1,2]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[2,3,4,7,1,5,8,6]=>[6,8,5,1,7,4,3,2]=>[6,5,4,3,8,7,1,2]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[2,1,3,4,7,8,5,6]=>[6,5,8,7,4,3,1,2]=>[6,8,5,4,3,1,7,2]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]
[2,3,1,4,7,8,5,6]=>[6,5,8,7,4,1,3,2]=>[6,5,8,4,3,1,7,2]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]
[2,3,4,7,1,8,5,6]=>[6,5,8,1,7,4,3,2]=>[6,5,4,3,8,1,7,2]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[2,3,4,7,8,1,5,6]=>[6,5,1,8,7,4,3,2]=>[6,5,4,3,1,8,7,2]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[2,1,7,3,4,5,6,8]=>[8,6,5,4,3,7,1,2]=>[6,8,1,7,5,4,3,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[2,7,1,3,4,5,6,8]=>[8,6,5,4,3,1,7,2]=>[6,1,8,7,5,4,3,2]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[2,3,1,7,4,5,6,8]=>[8,6,5,4,7,1,3,2]=>[8,6,7,1,5,4,3,2]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]
[2,1,3,4,7,5,6,8]=>[8,6,5,7,4,3,1,2]=>[6,8,7,5,1,4,3,2]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]
[2,3,1,4,7,5,6,8]=>[8,6,5,7,4,1,3,2]=>[8,6,7,5,1,4,3,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[2,3,4,1,7,5,6,8]=>[8,6,5,7,1,4,3,2]=>[8,6,5,7,1,4,3,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[2,3,4,7,1,5,6,8]=>[8,6,5,1,7,4,3,2]=>[8,6,5,1,7,4,3,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[2,3,4,5,7,1,8,6]=>[6,8,1,7,5,4,3,2]=>[8,6,5,4,3,7,1,2]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[2,3,4,5,7,8,1,6]=>[6,1,8,7,5,4,3,2]=>[8,6,5,4,3,1,7,2]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[2,1,8,3,4,5,6,7]=>[7,6,5,4,3,8,1,2]=>[7,8,1,6,5,4,3,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[2,8,1,3,4,5,6,7]=>[7,6,5,4,3,1,8,2]=>[7,1,8,6,5,4,3,2]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[2,1,3,8,4,5,6,7]=>[7,6,5,4,8,3,1,2]=>[7,8,6,1,5,4,3,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]
[2,3,1,8,4,5,6,7]=>[7,6,5,4,8,1,3,2]=>[7,6,8,1,5,4,3,2]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]
[2,3,8,1,4,5,6,7]=>[7,6,5,4,1,8,3,2]=>[7,6,1,8,5,4,3,2]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[2,1,3,4,8,5,6,7]=>[7,6,5,8,4,3,1,2]=>[7,8,6,5,1,4,3,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[2,3,1,4,8,5,6,7]=>[7,6,5,8,4,1,3,2]=>[7,6,8,5,1,4,3,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[2,3,4,1,8,5,6,7]=>[7,6,5,8,1,4,3,2]=>[7,6,5,8,1,4,3,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[2,3,4,8,1,5,6,7]=>[7,6,5,1,8,4,3,2]=>[7,6,5,1,8,4,3,2]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[2,1,3,4,5,8,6,7]=>[7,6,8,5,4,3,1,2]=>[7,8,6,5,4,1,3,2]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]
[2,3,1,4,5,8,6,7]=>[7,6,8,5,4,1,3,2]=>[7,6,8,5,4,1,3,2]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]
[2,3,4,1,5,8,6,7]=>[7,6,8,5,1,4,3,2]=>[7,6,5,8,4,1,3,2]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]
[2,3,4,5,1,8,6,7]=>[7,6,8,1,5,4,3,2]=>[7,6,5,4,8,1,3,2]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[2,3,4,5,8,1,6,7]=>[7,6,1,8,5,4,3,2]=>[7,6,5,4,1,8,3,2]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[2,3,4,5,6,8,1,7]=>[7,1,8,6,5,4,3,2]=>[7,6,5,4,3,1,8,2]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[3,1,4,2,6,5,8,7]=>[7,8,5,6,2,4,1,3]=>[7,8,5,6,2,4,1,3]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[3,4,1,2,6,5,8,7]=>[7,8,5,6,2,1,4,3]=>[7,5,8,6,2,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[3,4,6,1,2,5,8,7]=>[7,8,5,2,1,6,4,3]=>[7,5,2,8,6,4,1,3]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[3,1,4,2,6,8,5,7]=>[7,5,8,6,2,4,1,3]=>[7,8,5,6,2,1,4,3]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[3,4,1,2,6,8,5,7]=>[7,5,8,6,2,1,4,3]=>[7,5,8,6,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[3,4,1,6,2,8,5,7]=>[7,5,8,2,6,1,4,3]=>[7,5,8,2,6,1,4,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[3,4,6,1,2,8,5,7]=>[7,5,8,2,1,6,4,3]=>[7,5,2,8,6,1,4,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[3,1,4,6,8,2,5,7]=>[7,5,2,8,6,4,1,3]=>[7,8,5,2,1,6,4,3]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[3,4,1,6,8,2,5,7]=>[7,5,2,8,6,1,4,3]=>[7,5,8,2,1,6,4,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[3,4,6,1,8,2,5,7]=>[7,5,2,8,1,6,4,3]=>[7,5,2,8,1,6,4,3]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[3,4,6,8,1,2,5,7]=>[7,5,2,1,8,6,4,3]=>[7,5,2,1,8,6,4,3]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[3,1,4,2,6,5,7,8]=>[8,7,5,6,2,4,1,3]=>[5,8,2,7,1,6,4,3]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[3,4,1,2,6,5,7,8]=>[8,7,5,6,2,1,4,3]=>[5,2,8,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[3,4,6,1,2,5,7,8]=>[8,7,5,2,1,6,4,3]=>[5,2,1,8,7,6,4,3]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[3,4,1,2,6,7,5,8]=>[8,5,7,6,2,1,4,3]=>[5,2,8,7,6,1,4,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]
[3,4,1,6,2,7,5,8]=>[8,5,7,2,6,1,4,3]=>[8,5,7,2,6,1,4,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[3,4,6,1,2,7,5,8]=>[8,5,7,2,1,6,4,3]=>[8,5,2,7,6,1,4,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[3,4,1,6,7,2,5,8]=>[8,5,2,7,6,1,4,3]=>[8,5,7,2,1,6,4,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[3,4,6,1,7,2,5,8]=>[8,5,2,7,1,6,4,3]=>[8,5,2,7,1,6,4,3]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[3,4,6,7,1,2,5,8]=>[8,5,2,1,7,6,4,3]=>[8,5,2,1,7,6,4,3]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[3,1,4,2,6,7,8,5]=>[5,8,7,6,2,4,1,3]=>[5,8,2,7,6,4,1,3]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]
[3,4,1,2,6,7,8,5]=>[5,8,7,6,2,1,4,3]=>[5,2,8,7,6,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]
[3,1,4,6,2,7,8,5]=>[5,8,7,2,6,4,1,3]=>[5,8,7,2,6,4,1,3]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]
[3,1,4,6,7,2,8,5]=>[5,8,2,7,6,4,1,3]=>[5,8,7,6,2,4,1,3]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]
[3,4,6,1,7,2,8,5]=>[5,8,2,7,1,6,4,3]=>[8,7,5,6,2,4,1,3]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[3,1,4,6,7,8,2,5]=>[5,2,8,7,6,4,1,3]=>[5,8,7,6,2,1,4,3]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]
[3,4,1,6,7,8,2,5]=>[5,2,8,7,6,1,4,3]=>[8,5,7,6,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[3,4,6,1,7,8,2,5]=>[5,2,8,7,1,6,4,3]=>[8,7,5,6,2,1,4,3]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]
[3,4,6,7,8,1,2,5]=>[5,2,1,8,7,6,4,3]=>[8,7,5,2,1,6,4,3]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[3,1,4,2,7,5,8,6]=>[6,8,5,7,2,4,1,3]=>[6,8,5,7,2,4,1,3]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[3,4,1,2,7,5,8,6]=>[6,8,5,7,2,1,4,3]=>[6,5,8,7,2,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[3,1,4,7,2,5,8,6]=>[6,8,5,2,7,4,1,3]=>[6,8,5,2,7,4,1,3]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]
[3,4,1,7,2,5,8,6]=>[6,8,5,2,7,1,4,3]=>[6,5,8,2,7,4,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[3,1,4,2,7,8,5,6]=>[6,5,8,7,2,4,1,3]=>[6,8,5,7,2,1,4,3]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[3,4,1,2,7,8,5,6]=>[6,5,8,7,2,1,4,3]=>[6,5,8,7,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[3,1,4,7,2,8,5,6]=>[6,5,8,2,7,4,1,3]=>[6,8,5,2,7,1,4,3]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[3,4,1,7,2,8,5,6]=>[6,5,8,2,7,1,4,3]=>[6,5,8,2,7,1,4,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[3,4,7,1,2,8,5,6]=>[6,5,8,2,1,7,4,3]=>[6,5,2,8,7,1,4,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[3,4,1,7,8,2,5,6]=>[6,5,2,8,7,1,4,3]=>[6,5,8,2,1,7,4,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[3,4,7,1,8,2,5,6]=>[6,5,2,8,1,7,4,3]=>[6,5,2,8,1,7,4,3]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[3,4,7,8,1,2,5,6]=>[6,5,2,1,8,7,4,3]=>[6,5,2,1,8,7,4,3]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[3,4,1,2,7,5,6,8]=>[8,6,5,7,2,1,4,3]=>[6,2,8,7,1,5,4,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[3,4,1,7,2,5,6,8]=>[8,6,5,2,7,1,4,3]=>[6,2,8,1,7,5,4,3]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]
[3,4,7,1,2,5,6,8]=>[8,6,5,2,1,7,4,3]=>[6,2,1,8,7,5,4,3]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[3,4,1,2,5,7,6,8]=>[8,6,7,5,2,1,4,3]=>[6,2,8,7,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]
[3,4,1,5,2,7,6,8]=>[8,6,7,2,5,1,4,3]=>[8,6,7,2,5,1,4,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[3,1,4,5,7,2,6,8]=>[8,6,2,7,5,4,1,3]=>[6,8,7,2,1,5,4,3]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]
[3,4,5,1,7,2,6,8]=>[8,6,2,7,1,5,4,3]=>[8,6,2,7,1,5,4,3]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[3,1,4,2,5,7,8,6]=>[6,8,7,5,2,4,1,3]=>[6,8,2,7,5,4,1,3]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]
[3,4,1,2,5,7,8,6]=>[6,8,7,5,2,1,4,3]=>[6,2,8,7,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]
[3,1,4,5,2,7,8,6]=>[6,8,7,2,5,4,1,3]=>[6,8,7,2,5,4,1,3]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]
[3,4,5,1,2,7,8,6]=>[6,8,7,2,1,5,4,3]=>[8,6,2,7,5,4,1,3]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[3,1,4,5,7,2,8,6]=>[6,8,2,7,5,4,1,3]=>[6,8,7,5,2,4,1,3]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]
[3,4,5,1,7,2,8,6]=>[6,8,2,7,1,5,4,3]=>[8,6,5,7,2,4,1,3]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[3,1,4,5,7,8,2,6]=>[6,2,8,7,5,4,1,3]=>[6,8,7,5,2,1,4,3]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]
[3,4,1,5,7,8,2,6]=>[6,2,8,7,5,1,4,3]=>[8,6,7,5,2,1,4,3]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]
[3,4,5,1,7,8,2,6]=>[6,2,8,7,1,5,4,3]=>[8,6,5,7,2,1,4,3]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]
[3,4,5,7,1,8,2,6]=>[6,2,8,1,7,5,4,3]=>[8,6,5,2,7,1,4,3]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[3,4,5,7,8,1,2,6]=>[6,2,1,8,7,5,4,3]=>[8,6,5,2,1,7,4,3]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[3,1,4,2,8,5,6,7]=>[7,6,5,8,2,4,1,3]=>[7,8,2,6,1,5,4,3]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[3,1,4,8,2,5,6,7]=>[7,6,5,2,8,4,1,3]=>[7,8,2,1,6,5,4,3]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]
[3,4,1,8,2,5,6,7]=>[7,6,5,2,8,1,4,3]=>[7,2,8,1,6,5,4,3]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]
[3,4,8,1,2,5,6,7]=>[7,6,5,2,1,8,4,3]=>[7,2,1,8,6,5,4,3]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[3,1,4,2,5,8,6,7]=>[7,6,8,5,2,4,1,3]=>[7,8,2,6,5,1,4,3]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[3,4,1,2,5,8,6,7]=>[7,6,8,5,2,1,4,3]=>[7,2,8,6,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]
[3,4,1,5,2,8,6,7]=>[7,6,8,2,5,1,4,3]=>[7,6,8,2,5,1,4,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[3,4,5,8,1,2,6,7]=>[7,6,2,1,8,5,4,3]=>[7,6,2,1,8,5,4,3]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[3,4,1,2,5,6,8,7]=>[7,8,6,5,2,1,4,3]=>[7,2,8,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]
[3,4,5,1,6,2,8,7]=>[7,8,2,6,1,5,4,3]=>[7,6,5,8,2,4,1,3]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[3,4,5,6,1,2,8,7]=>[7,8,2,1,6,5,4,3]=>[7,6,5,2,8,4,1,3]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[3,1,4,5,6,8,2,7]=>[7,2,8,6,5,4,1,3]=>[7,8,6,5,2,1,4,3]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]
[3,4,1,5,6,8,2,7]=>[7,2,8,6,5,1,4,3]=>[7,6,8,5,2,1,4,3]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]
[3,4,5,6,1,8,2,7]=>[7,2,8,1,6,5,4,3]=>[7,6,5,2,8,1,4,3]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[3,4,5,6,8,1,2,7]=>[7,2,1,8,6,5,4,3]=>[7,6,5,2,1,8,4,3]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[3,1,4,2,5,6,7,8]=>[8,7,6,5,2,4,1,3]=>[2,8,1,7,6,5,4,3]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[3,1,4,5,2,6,7,8]=>[8,7,6,2,5,4,1,3]=>[2,8,7,1,6,5,4,3]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[3,4,1,5,2,6,7,8]=>[8,7,6,2,5,1,4,3]=>[8,2,7,1,6,5,4,3]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]
[3,1,4,5,6,2,7,8]=>[8,7,2,6,5,4,1,3]=>[2,8,7,6,1,5,4,3]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]
[3,4,1,5,6,2,7,8]=>[8,7,2,6,5,1,4,3]=>[8,2,7,6,1,5,4,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[3,4,5,1,6,2,7,8]=>[8,7,2,6,1,5,4,3]=>[8,7,2,6,1,5,4,3]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[3,1,4,5,6,7,2,8]=>[8,2,7,6,5,4,1,3]=>[2,8,7,6,5,1,4,3]=>[[.,[[[[.,.],.],.],.]],[[.,.],.]]
[3,4,1,5,6,7,2,8]=>[8,2,7,6,5,1,4,3]=>[8,2,7,6,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]
[3,4,5,1,6,7,2,8]=>[8,2,7,6,1,5,4,3]=>[8,7,2,6,5,1,4,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[3,4,5,6,1,7,2,8]=>[8,2,7,1,6,5,4,3]=>[8,7,6,2,5,1,4,3]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[3,1,4,5,6,7,8,2]=>[2,8,7,6,5,4,1,3]=>[2,8,7,6,5,4,1,3]=>[[.,[[[[[.,.],.],.],.],.]],[.,.]]
[3,4,1,5,6,7,8,2]=>[2,8,7,6,5,1,4,3]=>[8,2,7,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]
[3,4,5,1,6,7,8,2]=>[2,8,7,6,1,5,4,3]=>[8,7,2,6,5,4,1,3]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[3,4,5,6,1,7,8,2]=>[2,8,7,1,6,5,4,3]=>[8,7,6,2,5,4,1,3]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[3,4,5,6,7,1,8,2]=>[2,8,1,7,6,5,4,3]=>[8,7,6,5,2,4,1,3]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[3,1,5,2,6,4,8,7]=>[7,8,4,6,2,5,1,3]=>[7,8,4,6,2,5,1,3]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[3,1,5,6,2,4,8,7]=>[7,8,4,2,6,5,1,3]=>[7,8,4,2,6,5,1,3]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]
[3,5,1,6,2,4,8,7]=>[7,8,4,2,6,1,5,3]=>[7,4,8,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[3,5,6,1,2,4,8,7]=>[7,8,4,2,1,6,5,3]=>[7,4,2,8,6,5,1,3]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[3,5,1,2,6,8,4,7]=>[7,4,8,6,2,1,5,3]=>[7,4,8,6,2,1,5,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[3,1,5,6,2,8,4,7]=>[7,4,8,2,6,5,1,3]=>[7,8,4,2,6,1,5,3]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[3,5,1,6,2,8,4,7]=>[7,4,8,2,6,1,5,3]=>[7,4,8,2,6,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[3,1,5,6,8,2,4,7]=>[7,4,2,8,6,5,1,3]=>[7,8,4,2,1,6,5,3]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[3,5,6,1,8,2,4,7]=>[7,4,2,8,1,6,5,3]=>[7,4,2,8,1,6,5,3]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[3,5,6,8,1,2,4,7]=>[7,4,2,1,8,6,5,3]=>[7,4,2,1,8,6,5,3]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[3,1,5,2,6,4,7,8]=>[8,7,4,6,2,5,1,3]=>[4,8,2,7,1,6,5,3]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[3,5,1,2,6,4,7,8]=>[8,7,4,6,2,1,5,3]=>[4,2,8,7,1,6,5,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[3,1,5,6,2,4,7,8]=>[8,7,4,2,6,5,1,3]=>[4,8,2,1,7,6,5,3]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]
[3,5,1,6,2,4,7,8]=>[8,7,4,2,6,1,5,3]=>[4,2,8,1,7,6,5,3]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]
[3,5,6,1,2,4,7,8]=>[8,7,4,2,1,6,5,3]=>[4,2,1,8,7,6,5,3]=>[[[.,.],.],[[[[[.,.],.],.],.],.]]
[3,1,5,2,6,7,4,8]=>[8,4,7,6,2,5,1,3]=>[4,8,2,7,6,1,5,3]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[3,5,1,2,6,7,4,8]=>[8,4,7,6,2,1,5,3]=>[4,2,8,7,6,1,5,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]
[3,1,5,6,2,7,4,8]=>[8,4,7,2,6,5,1,3]=>[4,8,7,2,6,1,5,3]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]
[3,5,1,6,2,7,4,8]=>[8,4,7,2,6,1,5,3]=>[8,4,7,2,6,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[3,5,6,1,2,7,4,8]=>[8,4,7,2,1,6,5,3]=>[8,4,2,7,6,1,5,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[3,1,5,6,7,2,4,8]=>[8,4,2,7,6,5,1,3]=>[4,8,7,2,1,6,5,3]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]
[3,5,1,6,7,2,4,8]=>[8,4,2,7,6,1,5,3]=>[8,4,7,2,1,6,5,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[3,5,6,1,7,2,4,8]=>[8,4,2,7,1,6,5,3]=>[8,4,2,7,1,6,5,3]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[3,5,6,7,1,2,4,8]=>[8,4,2,1,7,6,5,3]=>[8,4,2,1,7,6,5,3]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[3,5,1,2,6,7,8,4]=>[4,8,7,6,2,1,5,3]=>[4,2,8,7,6,5,1,3]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]
[3,1,5,6,2,7,8,4]=>[4,8,7,2,6,5,1,3]=>[4,8,7,2,6,5,1,3]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]
[3,5,1,6,2,7,8,4]=>[4,8,7,2,6,1,5,3]=>[8,4,7,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[3,5,6,1,2,7,8,4]=>[4,8,7,2,1,6,5,3]=>[8,4,2,7,6,5,1,3]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[3,5,1,6,7,2,8,4]=>[4,8,2,7,6,1,5,3]=>[8,4,7,6,2,5,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[3,5,6,1,7,2,8,4]=>[4,8,2,7,1,6,5,3]=>[8,7,4,6,2,5,1,3]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[3,5,6,7,1,2,8,4]=>[4,8,2,1,7,6,5,3]=>[8,7,4,2,6,5,1,3]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[3,5,1,6,7,8,2,4]=>[4,2,8,7,6,1,5,3]=>[8,4,7,6,2,1,5,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[3,5,6,1,7,8,2,4]=>[4,2,8,7,1,6,5,3]=>[8,7,4,6,2,1,5,3]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]
[3,5,6,7,1,8,2,4]=>[4,2,8,1,7,6,5,3]=>[8,7,4,2,6,1,5,3]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[3,5,6,7,8,1,2,4]=>[4,2,1,8,7,6,5,3]=>[8,7,4,2,1,6,5,3]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[3,1,5,2,7,4,8,6]=>[6,8,4,7,2,5,1,3]=>[6,8,4,7,2,5,1,3]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[3,5,1,2,7,4,8,6]=>[6,8,4,7,2,1,5,3]=>[6,4,8,7,2,5,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[3,1,5,7,2,4,8,6]=>[6,8,4,2,7,5,1,3]=>[6,8,4,2,7,5,1,3]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]
[3,5,1,7,2,4,8,6]=>[6,8,4,2,7,1,5,3]=>[6,4,8,2,7,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[3,5,7,1,2,4,8,6]=>[6,8,4,2,1,7,5,3]=>[6,4,2,8,7,5,1,3]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[3,1,5,2,7,8,4,6]=>[6,4,8,7,2,5,1,3]=>[6,8,4,7,2,1,5,3]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[3,5,1,2,7,8,4,6]=>[6,4,8,7,2,1,5,3]=>[6,4,8,7,2,1,5,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[3,1,5,7,2,8,4,6]=>[6,4,8,2,7,5,1,3]=>[6,8,4,2,7,1,5,3]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[3,5,1,7,2,8,4,6]=>[6,4,8,2,7,1,5,3]=>[6,4,8,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[3,5,7,1,2,8,4,6]=>[6,4,8,2,1,7,5,3]=>[6,4,2,8,7,1,5,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[3,1,5,7,8,2,4,6]=>[6,4,2,8,7,5,1,3]=>[6,8,4,2,1,7,5,3]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[3,5,7,8,1,2,4,6]=>[6,4,2,1,8,7,5,3]=>[6,4,2,1,8,7,5,3]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[3,1,5,2,7,4,6,8]=>[8,6,4,7,2,5,1,3]=>[6,8,4,7,2,5,3,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[3,5,1,2,7,4,6,8]=>[8,6,4,7,2,1,5,3]=>[6,4,8,7,2,5,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[3,1,5,7,2,4,6,8]=>[8,6,4,2,7,5,1,3]=>[6,8,4,2,7,5,3,1]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]
[3,5,7,1,2,4,6,8]=>[8,6,4,2,1,7,5,3]=>[6,4,2,8,7,5,3,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]
[3,5,1,2,4,7,6,8]=>[8,6,7,4,2,1,5,3]=>[6,4,8,7,5,2,3,1]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]
[1,3,5,2,4,7,6,8]=>[8,6,7,4,2,5,3,1]=>[8,6,4,7,5,2,3,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]
[3,1,2,5,7,4,6,8]=>[8,6,4,7,5,2,1,3]=>[6,8,7,4,2,5,3,1]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]
[1,3,5,7,2,4,6,8]=>[8,6,4,2,7,5,3,1]=>[8,6,4,2,7,5,3,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]
[3,5,1,2,4,7,8,6]=>[6,8,7,4,2,1,5,3]=>[6,4,8,7,5,2,1,3]=>[[[[.,.],[[[.,.],.],.]],.],[.,.]]
[1,3,5,2,4,7,8,6]=>[6,8,7,4,2,5,3,1]=>[8,6,4,7,5,2,1,3]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]
[3,1,2,5,7,4,8,6]=>[6,8,4,7,5,2,1,3]=>[6,8,7,4,2,5,1,3]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]
[1,3,5,2,7,4,8,6]=>[6,8,4,7,2,5,3,1]=>[8,6,4,7,2,5,1,3]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[1,3,5,7,2,4,8,6]=>[6,8,4,2,7,5,3,1]=>[8,6,4,2,7,5,1,3]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[1,3,5,7,8,2,4,6]=>[6,4,2,8,7,5,3,1]=>[8,6,4,2,1,7,5,3]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[3,5,1,2,8,4,6,7]=>[7,6,4,8,2,1,5,3]=>[7,4,8,6,2,5,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[3,1,5,8,2,4,6,7]=>[7,6,4,2,8,5,1,3]=>[7,8,4,2,6,5,3,1]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]
[3,5,1,8,2,4,6,7]=>[7,6,4,2,8,1,5,3]=>[7,4,8,2,6,5,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[1,3,2,5,4,8,6,7]=>[7,6,8,4,5,2,3,1]=>[7,6,8,4,5,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[3,1,2,5,8,4,6,7]=>[7,6,4,8,5,2,1,3]=>[7,8,6,4,2,5,3,1]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.]
[1,3,2,5,8,4,6,7]=>[7,6,4,8,5,2,3,1]=>[7,6,8,4,2,5,3,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]
[1,3,5,8,2,4,6,7]=>[7,6,4,2,8,5,3,1]=>[7,6,4,2,8,5,3,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]
[1,3,5,2,4,6,8,7]=>[7,8,6,4,2,5,3,1]=>[7,6,4,8,5,2,1,3]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]
[1,3,5,6,2,4,8,7]=>[7,8,4,2,6,5,3,1]=>[7,6,4,2,8,5,1,3]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[1,3,5,2,6,8,4,7]=>[7,4,8,6,2,5,3,1]=>[7,6,4,8,2,1,5,3]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]
[1,3,5,6,2,8,4,7]=>[7,4,8,2,6,5,3,1]=>[7,6,4,2,8,1,5,3]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[3,1,5,2,4,6,7,8]=>[8,7,6,4,2,5,1,3]=>[4,8,2,7,6,5,3,1]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]
[3,5,1,2,4,6,7,8]=>[8,7,6,4,2,1,5,3]=>[4,2,8,7,6,5,3,1]=>[[[.,.],[[[[[.,.],.],.],.],.]],.]
[3,1,2,5,4,6,7,8]=>[8,7,6,4,5,2,1,3]=>[4,8,7,2,6,5,3,1]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]
[3,1,2,5,6,4,7,8]=>[8,7,4,6,5,2,1,3]=>[4,8,7,6,2,5,3,1]=>[[[.,[[[.,.],.],.]],[[.,.],.]],.]
[1,3,5,6,2,4,7,8]=>[8,7,4,2,6,5,3,1]=>[8,7,4,2,6,5,3,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]
[3,1,2,5,6,7,4,8]=>[8,4,7,6,5,2,1,3]=>[4,8,7,6,5,2,3,1]=>[[[.,[[[[.,.],.],.],.]],[.,.]],.]
[1,3,5,2,6,7,4,8]=>[8,4,7,6,2,5,3,1]=>[8,7,4,6,5,2,3,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]
[1,3,5,6,2,7,4,8]=>[8,4,7,2,6,5,3,1]=>[8,7,6,4,5,2,3,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[3,1,2,5,6,7,8,4]=>[4,8,7,6,5,2,1,3]=>[4,8,7,6,5,2,1,3]=>[[[.,[[[[.,.],.],.],.]],.],[.,.]]
[1,3,5,2,6,7,8,4]=>[4,8,7,6,2,5,3,1]=>[8,7,4,6,5,2,1,3]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]
[1,3,5,6,2,7,8,4]=>[4,8,7,2,6,5,3,1]=>[8,7,6,4,5,2,1,3]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]
[1,3,5,6,7,2,8,4]=>[4,8,2,7,6,5,3,1]=>[8,7,6,4,2,5,1,3]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[1,3,5,6,7,8,2,4]=>[4,2,8,7,6,5,3,1]=>[8,7,6,4,2,1,5,3]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[3,1,6,2,7,4,8,5]=>[5,8,4,7,2,6,1,3]=>[5,8,4,7,2,6,1,3]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[3,6,1,2,7,4,8,5]=>[5,8,4,7,2,1,6,3]=>[5,4,8,7,2,6,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[3,6,1,7,2,4,8,5]=>[5,8,4,2,7,1,6,3]=>[5,4,8,2,7,6,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[3,6,7,1,2,4,8,5]=>[5,8,4,2,1,7,6,3]=>[5,4,2,8,7,6,1,3]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[3,1,6,2,7,8,4,5]=>[5,4,8,7,2,6,1,3]=>[5,8,4,7,2,1,6,3]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[3,1,6,7,2,8,4,5]=>[5,4,8,2,7,6,1,3]=>[5,8,4,2,7,1,6,3]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[3,6,1,7,2,8,4,5]=>[5,4,8,2,7,1,6,3]=>[5,4,8,2,7,1,6,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[3,6,7,1,2,8,4,5]=>[5,4,8,2,1,7,6,3]=>[5,4,2,8,7,1,6,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[3,1,6,7,8,2,4,5]=>[5,4,2,8,7,6,1,3]=>[5,8,4,2,1,7,6,3]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[3,6,1,7,8,2,4,5]=>[5,4,2,8,7,1,6,3]=>[5,4,8,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[3,6,7,1,8,2,4,5]=>[5,4,2,8,1,7,6,3]=>[5,4,2,8,1,7,6,3]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[3,6,7,8,1,2,4,5]=>[5,4,2,1,8,7,6,3]=>[5,4,2,1,8,7,6,3]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[3,1,6,2,7,4,5,8]=>[8,5,4,7,2,6,1,3]=>[5,8,4,7,2,6,3,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[3,1,6,2,4,7,5,8]=>[8,5,7,4,2,6,1,3]=>[5,8,4,7,6,2,3,1]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[3,6,1,2,4,7,5,8]=>[8,5,7,4,2,1,6,3]=>[5,4,8,7,6,2,3,1]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]
[3,1,2,6,4,7,5,8]=>[8,5,7,4,6,2,1,3]=>[5,8,7,4,6,2,3,1]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[1,3,2,6,4,7,5,8]=>[8,5,7,4,6,2,3,1]=>[8,5,7,4,6,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[3,1,2,6,7,4,5,8]=>[8,5,4,7,6,2,1,3]=>[5,8,7,4,2,6,3,1]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]
[1,3,6,2,7,4,5,8]=>[8,5,4,7,2,6,3,1]=>[8,5,4,7,2,6,3,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[1,3,6,7,2,4,5,8]=>[8,5,4,2,7,6,3,1]=>[8,5,4,2,7,6,3,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]
[3,1,6,2,4,7,8,5]=>[5,8,7,4,2,6,1,3]=>[5,8,4,7,6,2,1,3]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]
[3,6,1,2,4,7,8,5]=>[5,8,7,4,2,1,6,3]=>[5,4,8,7,6,2,1,3]=>[[[[.,.],[[[.,.],.],.]],.],[.,.]]
[3,1,2,6,4,7,8,5]=>[5,8,7,4,6,2,1,3]=>[5,8,7,4,6,2,1,3]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]]
[1,3,2,6,4,7,8,5]=>[5,8,7,4,6,2,3,1]=>[8,5,7,4,6,2,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]
[1,3,6,2,4,7,8,5]=>[5,8,7,4,2,6,3,1]=>[8,5,4,7,6,2,1,3]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]
[3,1,2,6,7,4,8,5]=>[5,8,4,7,6,2,1,3]=>[5,8,7,4,2,6,1,3]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]
[1,3,2,6,7,4,8,5]=>[5,8,4,7,6,2,3,1]=>[8,5,7,4,2,6,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]
[1,3,6,2,7,4,8,5]=>[5,8,4,7,2,6,3,1]=>[8,5,4,7,2,6,1,3]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[1,3,2,6,7,8,4,5]=>[5,4,8,7,6,2,3,1]=>[8,5,7,4,2,1,6,3]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]
[3,1,6,2,8,4,5,7]=>[7,5,4,8,2,6,1,3]=>[7,8,5,6,2,4,3,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[3,1,6,8,2,4,5,7]=>[7,5,4,2,8,6,1,3]=>[7,8,5,2,6,4,3,1]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]
[3,6,8,1,2,4,5,7]=>[7,5,4,2,1,8,6,3]=>[7,5,2,8,6,4,3,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]
[1,3,2,6,4,8,5,7]=>[7,5,8,4,6,2,3,1]=>[7,5,8,4,6,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,3,6,2,8,4,5,7]=>[7,5,4,8,2,6,3,1]=>[7,5,4,8,2,6,3,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[3,1,6,2,4,5,8,7]=>[7,8,5,4,2,6,1,3]=>[7,8,5,6,4,2,1,3]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]
[3,6,1,2,4,5,8,7]=>[7,8,5,4,2,1,6,3]=>[7,5,8,6,4,2,1,3]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]
[3,1,2,4,6,5,8,7]=>[7,8,5,6,4,2,1,3]=>[7,8,5,4,2,6,1,3]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]
[3,1,2,4,6,8,5,7]=>[7,5,8,6,4,2,1,3]=>[7,8,5,4,2,1,6,3]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]
[1,3,4,6,8,2,5,7]=>[7,5,2,8,6,4,3,1]=>[7,5,4,2,1,8,6,3]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[3,1,6,2,4,5,7,8]=>[8,7,5,4,2,6,1,3]=>[5,8,2,7,6,4,3,1]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]
[3,6,1,2,4,5,7,8]=>[8,7,5,4,2,1,6,3]=>[5,2,8,7,6,4,3,1]=>[[[.,.],[[[[[.,.],.],.],.],.]],.]
[1,3,2,6,4,5,7,8]=>[8,7,5,4,6,2,3,1]=>[8,5,7,2,6,4,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[3,1,2,4,6,5,7,8]=>[8,7,5,6,4,2,1,3]=>[5,8,7,6,2,4,3,1]=>[[[.,[[[.,.],.],.]],[[.,.],.]],.]
[1,3,4,6,2,5,7,8]=>[8,7,5,2,6,4,3,1]=>[8,7,5,2,6,4,3,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]
[3,1,2,4,6,7,5,8]=>[8,5,7,6,4,2,1,3]=>[5,8,7,6,4,2,3,1]=>[[[[.,[[[.,.],.],.]],.],[.,.]],.]
[3,1,2,4,6,7,8,5]=>[5,8,7,6,4,2,1,3]=>[5,8,7,6,4,2,1,3]=>[[[[.,[[[.,.],.],.]],.],.],[.,.]]
[1,3,4,6,7,2,8,5]=>[5,8,2,7,6,4,3,1]=>[8,7,5,4,2,6,1,3]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[3,7,1,2,8,4,5,6]=>[6,5,4,8,2,1,7,3]=>[6,5,8,7,2,4,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[3,1,7,8,2,4,5,6]=>[6,5,4,2,8,7,1,3]=>[6,8,5,2,7,4,3,1]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]
[3,7,1,2,4,8,5,6]=>[6,5,8,4,2,1,7,3]=>[6,5,8,7,4,2,3,1]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]
[3,1,2,7,4,8,5,6]=>[6,5,8,4,7,2,1,3]=>[6,8,5,4,7,2,3,1]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]
[1,3,2,7,4,8,5,6]=>[6,5,8,4,7,2,3,1]=>[6,5,8,4,7,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,3,7,2,4,8,5,6]=>[6,5,8,4,2,7,3,1]=>[6,5,4,8,7,2,3,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]
[3,1,2,7,8,4,5,6]=>[6,5,4,8,7,2,1,3]=>[6,8,5,4,2,7,3,1]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.]
[1,3,2,7,8,4,5,6]=>[6,5,4,8,7,2,3,1]=>[6,5,8,4,2,7,3,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]
[1,3,7,2,8,4,5,6]=>[6,5,4,8,2,7,3,1]=>[6,5,4,8,2,7,3,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[3,1,7,2,4,5,8,6]=>[6,8,5,4,2,7,1,3]=>[6,8,5,7,4,2,1,3]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]
[3,7,1,2,4,5,8,6]=>[6,8,5,4,2,1,7,3]=>[6,5,8,7,4,2,1,3]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]
[1,3,2,7,4,5,8,6]=>[6,8,5,4,7,2,3,1]=>[6,5,8,4,7,2,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]
[1,3,7,2,4,5,8,6]=>[6,8,5,4,2,7,3,1]=>[6,5,4,8,7,2,1,3]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]
[3,1,2,4,7,5,8,6]=>[6,8,5,7,4,2,1,3]=>[6,8,5,4,2,7,1,3]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]
[3,1,2,4,7,8,5,6]=>[6,5,8,7,4,2,1,3]=>[6,8,5,4,2,1,7,3]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]
[1,3,2,4,7,8,5,6]=>[6,5,8,7,4,2,3,1]=>[6,5,8,4,2,1,7,3]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]
[1,3,4,2,7,8,5,6]=>[6,5,8,7,2,4,3,1]=>[6,5,4,8,2,1,7,3]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]
[3,1,7,2,4,5,6,8]=>[8,6,5,4,2,7,1,3]=>[6,8,2,7,5,4,3,1]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]
[3,7,1,2,4,5,6,8]=>[8,6,5,4,2,1,7,3]=>[6,2,8,7,5,4,3,1]=>[[[.,.],[[[[[.,.],.],.],.],.]],.]
[3,1,2,7,4,5,6,8]=>[8,6,5,4,7,2,1,3]=>[6,8,7,2,5,4,3,1]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]
[1,3,2,7,4,5,6,8]=>[8,6,5,4,7,2,3,1]=>[8,6,7,2,5,4,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[1,3,7,2,4,5,6,8]=>[8,6,5,4,2,7,3,1]=>[8,6,2,7,5,4,3,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]
[1,3,2,4,7,5,6,8]=>[8,6,5,7,4,2,3,1]=>[8,6,7,5,2,4,3,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]
[1,3,4,2,7,5,6,8]=>[8,6,5,7,2,4,3,1]=>[8,6,5,7,2,4,3,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[1,3,4,7,2,5,6,8]=>[8,6,5,2,7,4,3,1]=>[8,6,5,2,7,4,3,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]
[1,3,4,5,7,2,6,8]=>[8,6,2,7,5,4,3,1]=>[8,6,5,4,2,7,3,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]
[3,1,2,4,5,7,8,6]=>[6,8,7,5,4,2,1,3]=>[6,8,7,5,4,2,1,3]=>[[[[[.,[[.,.],.]],.],.],.],[.,.]]
[1,3,4,5,7,8,2,6]=>[6,2,8,7,5,4,3,1]=>[8,6,5,4,2,1,7,3]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[3,1,8,2,4,5,6,7]=>[7,6,5,4,2,8,1,3]=>[7,8,2,6,5,4,3,1]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]
[3,8,1,2,4,5,6,7]=>[7,6,5,4,2,1,8,3]=>[7,2,8,6,5,4,3,1]=>[[[.,.],[[[[[.,.],.],.],.],.]],.]
[3,1,2,4,8,5,6,7]=>[7,6,5,8,4,2,1,3]=>[7,8,6,5,2,4,3,1]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.]
[1,3,2,4,8,5,6,7]=>[7,6,5,8,4,2,3,1]=>[7,6,8,5,2,4,3,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]
[1,3,4,2,8,5,6,7]=>[7,6,5,8,2,4,3,1]=>[7,6,5,8,2,4,3,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[3,1,2,4,5,8,6,7]=>[7,6,8,5,4,2,1,3]=>[7,8,6,5,4,2,3,1]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.]
[1,3,2,4,5,8,6,7]=>[7,6,8,5,4,2,3,1]=>[7,6,8,5,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]
[1,3,4,2,5,8,6,7]=>[7,6,8,5,2,4,3,1]=>[7,6,5,8,4,2,3,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]
[3,1,2,4,5,6,8,7]=>[7,8,6,5,4,2,1,3]=>[7,8,6,5,4,2,1,3]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]
[1,3,4,5,6,8,2,7]=>[7,2,8,6,5,4,3,1]=>[7,6,5,4,2,1,8,3]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[4,1,5,2,6,3,8,7]=>[7,8,3,6,2,5,1,4]=>[7,8,3,6,2,5,1,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[4,5,1,2,6,3,8,7]=>[7,8,3,6,2,1,5,4]=>[7,3,8,6,2,5,1,4]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[4,5,6,1,2,3,8,7]=>[7,8,3,2,1,6,5,4]=>[7,3,2,8,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[4,1,5,2,6,8,3,7]=>[7,3,8,6,2,5,1,4]=>[7,8,3,6,2,1,5,4]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[4,5,1,6,2,8,3,7]=>[7,3,8,2,6,1,5,4]=>[7,3,8,2,6,1,5,4]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[4,5,6,1,2,8,3,7]=>[7,3,8,2,1,6,5,4]=>[7,3,2,8,6,1,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[4,1,5,6,8,2,3,7]=>[7,3,2,8,6,5,1,4]=>[7,8,3,2,1,6,5,4]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[4,5,6,1,8,2,3,7]=>[7,3,2,8,1,6,5,4]=>[7,3,2,8,1,6,5,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[4,5,6,8,1,2,3,7]=>[7,3,2,1,8,6,5,4]=>[7,3,2,1,8,6,5,4]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[4,1,5,2,6,3,7,8]=>[8,7,3,6,2,5,1,4]=>[3,8,2,7,1,6,5,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[4,5,1,2,6,3,7,8]=>[8,7,3,6,2,1,5,4]=>[3,2,8,7,1,6,5,4]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[4,1,5,6,2,3,7,8]=>[8,7,3,2,6,5,1,4]=>[3,8,2,1,7,6,5,4]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]
[4,5,1,6,2,3,7,8]=>[8,7,3,2,6,1,5,4]=>[3,2,8,1,7,6,5,4]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]
[4,1,5,2,6,7,3,8]=>[8,3,7,6,2,5,1,4]=>[3,8,2,7,6,1,5,4]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[4,5,1,2,6,7,3,8]=>[8,3,7,6,2,1,5,4]=>[3,2,8,7,6,1,5,4]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]
[4,1,5,6,2,7,3,8]=>[8,3,7,2,6,5,1,4]=>[3,8,7,2,6,1,5,4]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]
[4,5,1,6,2,7,3,8]=>[8,3,7,2,6,1,5,4]=>[8,3,7,2,6,1,5,4]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[4,5,6,1,2,7,3,8]=>[8,3,7,2,1,6,5,4]=>[8,3,2,7,6,1,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[4,1,5,6,7,2,3,8]=>[8,3,2,7,6,5,1,4]=>[3,8,7,2,1,6,5,4]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]
[4,5,1,6,7,2,3,8]=>[8,3,2,7,6,1,5,4]=>[8,3,7,2,1,6,5,4]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[4,5,6,1,7,2,3,8]=>[8,3,2,7,1,6,5,4]=>[8,3,2,7,1,6,5,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[4,1,5,2,6,7,8,3]=>[3,8,7,6,2,5,1,4]=>[3,8,2,7,6,5,1,4]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]
[4,5,1,2,6,7,8,3]=>[3,8,7,6,2,1,5,4]=>[3,2,8,7,6,5,1,4]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]
[4,1,5,6,2,7,8,3]=>[3,8,7,2,6,5,1,4]=>[3,8,7,2,6,5,1,4]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]
[4,5,1,6,2,7,8,3]=>[3,8,7,2,6,1,5,4]=>[8,3,7,2,6,5,1,4]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[4,5,6,1,2,7,8,3]=>[3,8,7,2,1,6,5,4]=>[8,3,2,7,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[4,1,5,6,7,2,8,3]=>[3,8,2,7,6,5,1,4]=>[3,8,7,6,2,5,1,4]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]
[4,5,1,6,7,2,8,3]=>[3,8,2,7,6,1,5,4]=>[8,3,7,6,2,5,1,4]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[4,5,6,1,7,2,8,3]=>[3,8,2,7,1,6,5,4]=>[8,7,3,6,2,5,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[4,5,6,7,1,2,8,3]=>[3,8,2,1,7,6,5,4]=>[8,7,3,2,6,5,1,4]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[4,1,5,6,7,8,2,3]=>[3,2,8,7,6,5,1,4]=>[3,8,7,6,2,1,5,4]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]
[4,5,1,6,7,8,2,3]=>[3,2,8,7,6,1,5,4]=>[8,3,7,6,2,1,5,4]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[4,5,6,1,7,8,2,3]=>[3,2,8,7,1,6,5,4]=>[8,7,3,6,2,1,5,4]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]
[4,5,6,7,1,8,2,3]=>[3,2,8,1,7,6,5,4]=>[8,7,3,2,6,1,5,4]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[4,1,5,2,7,3,8,6]=>[6,8,3,7,2,5,1,4]=>[6,8,3,7,2,5,1,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[4,1,5,7,2,3,8,6]=>[6,8,3,2,7,5,1,4]=>[6,8,3,2,7,5,1,4]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]
[4,5,1,7,2,3,8,6]=>[6,8,3,2,7,1,5,4]=>[6,3,8,2,7,5,1,4]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[4,1,5,2,7,8,3,6]=>[6,3,8,7,2,5,1,4]=>[6,8,3,7,2,1,5,4]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[4,5,1,2,7,8,3,6]=>[6,3,8,7,2,1,5,4]=>[6,3,8,7,2,1,5,4]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[4,1,5,7,2,8,3,6]=>[6,3,8,2,7,5,1,4]=>[6,8,3,2,7,1,5,4]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[4,5,1,7,2,8,3,6]=>[6,3,8,2,7,1,5,4]=>[6,3,8,2,7,1,5,4]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[4,5,7,1,2,8,3,6]=>[6,3,8,2,1,7,5,4]=>[6,3,2,8,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[4,5,1,7,8,2,3,6]=>[6,3,2,8,7,1,5,4]=>[6,3,8,2,1,7,5,4]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[4,5,7,1,8,2,3,6]=>[6,3,2,8,1,7,5,4]=>[6,3,2,8,1,7,5,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[4,5,7,8,1,2,3,6]=>[6,3,2,1,8,7,5,4]=>[6,3,2,1,8,7,5,4]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[4,1,5,2,7,3,6,8]=>[8,6,3,7,2,5,1,4]=>[6,8,3,7,2,5,4,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[4,5,1,2,7,3,6,8]=>[8,6,3,7,2,1,5,4]=>[6,3,8,7,2,5,4,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[4,1,5,7,2,3,6,8]=>[8,6,3,2,7,5,1,4]=>[6,8,3,2,7,5,4,1]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]
[4,5,7,1,2,3,6,8]=>[8,6,3,2,1,7,5,4]=>[6,3,2,8,7,5,4,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]
[4,1,2,5,3,7,6,8]=>[8,6,7,3,5,2,1,4]=>[6,8,7,3,5,2,4,1]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[1,4,2,5,3,7,6,8]=>[8,6,7,3,5,2,4,1]=>[8,6,7,3,5,2,4,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,4,5,7,2,3,6,8]=>[8,6,3,2,7,5,4,1]=>[8,6,3,2,7,5,4,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]
[4,1,5,2,3,7,8,6]=>[6,8,7,3,2,5,1,4]=>[6,8,3,7,5,2,1,4]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]
[4,5,1,2,3,7,8,6]=>[6,8,7,3,2,1,5,4]=>[6,3,8,7,5,2,1,4]=>[[[[.,.],[[[.,.],.],.]],.],[.,.]]
[4,1,2,5,3,7,8,6]=>[6,8,7,3,5,2,1,4]=>[6,8,7,3,5,2,1,4]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]]
[4,1,2,5,7,3,8,6]=>[6,8,3,7,5,2,1,4]=>[6,8,7,3,2,5,1,4]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]
[1,4,5,2,7,3,8,6]=>[6,8,3,7,2,5,4,1]=>[8,6,3,7,2,5,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[1,4,5,7,2,3,8,6]=>[6,8,3,2,7,5,4,1]=>[8,6,3,2,7,5,1,4]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[1,4,5,2,7,8,3,6]=>[6,3,8,7,2,5,4,1]=>[8,6,3,7,2,1,5,4]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]
[1,4,5,7,8,2,3,6]=>[6,3,2,8,7,5,4,1]=>[8,6,3,2,1,7,5,4]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[4,1,5,2,8,3,6,7]=>[7,6,3,8,2,5,1,4]=>[7,8,3,6,2,5,4,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[4,1,5,8,2,3,6,7]=>[7,6,3,2,8,5,1,4]=>[7,8,3,2,6,5,4,1]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]
[4,5,1,8,2,3,6,7]=>[7,6,3,2,8,1,5,4]=>[7,3,8,2,6,5,4,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[4,5,8,1,2,3,6,7]=>[7,6,3,2,1,8,5,4]=>[7,3,2,8,6,5,4,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]
[1,4,2,5,3,8,6,7]=>[7,6,8,3,5,2,4,1]=>[7,6,8,3,5,2,4,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,4,5,2,3,8,6,7]=>[7,6,8,3,2,5,4,1]=>[7,6,3,8,5,2,4,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]
[4,1,2,5,8,3,6,7]=>[7,6,3,8,5,2,1,4]=>[7,8,6,3,2,5,4,1]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.]
[1,4,2,5,8,3,6,7]=>[7,6,3,8,5,2,4,1]=>[7,6,8,3,2,5,4,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]
[1,4,5,8,2,3,6,7]=>[7,6,3,2,8,5,4,1]=>[7,6,3,2,8,5,4,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]
[1,4,5,2,3,6,8,7]=>[7,8,6,3,2,5,4,1]=>[7,6,3,8,5,2,1,4]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]
[1,4,5,2,6,3,8,7]=>[7,8,3,6,2,5,4,1]=>[7,6,3,8,2,5,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[1,4,5,6,2,3,8,7]=>[7,8,3,2,6,5,4,1]=>[7,6,3,2,8,5,1,4]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[4,1,2,5,6,8,3,7]=>[7,3,8,6,5,2,1,4]=>[7,8,6,3,2,1,5,4]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]
[1,4,5,6,2,8,3,7]=>[7,3,8,2,6,5,4,1]=>[7,6,3,2,8,1,5,4]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[1,4,5,6,8,2,3,7]=>[7,3,2,8,6,5,4,1]=>[7,6,3,2,1,8,5,4]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[4,1,5,2,3,6,7,8]=>[8,7,6,3,2,5,1,4]=>[3,8,2,7,6,5,4,1]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]
[4,1,2,5,3,6,7,8]=>[8,7,6,3,5,2,1,4]=>[3,8,7,2,6,5,4,1]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]
[1,4,2,5,3,6,7,8]=>[8,7,6,3,5,2,4,1]=>[8,3,7,2,6,5,4,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[1,4,5,2,3,6,7,8]=>[8,7,6,3,2,5,4,1]=>[8,3,2,7,6,5,4,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]
[1,4,2,5,6,3,7,8]=>[8,7,3,6,5,2,4,1]=>[8,3,7,6,2,5,4,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[1,4,5,2,6,3,7,8]=>[8,7,3,6,2,5,4,1]=>[8,7,3,6,2,5,4,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[1,4,2,5,6,7,3,8]=>[8,3,7,6,5,2,4,1]=>[8,3,7,6,5,2,4,1]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]
[1,4,5,2,6,7,3,8]=>[8,3,7,6,2,5,4,1]=>[8,7,3,6,5,2,4,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]
[1,4,5,6,2,7,3,8]=>[8,3,7,2,6,5,4,1]=>[8,7,6,3,5,2,4,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[1,4,5,6,7,2,3,8]=>[8,3,2,7,6,5,4,1]=>[8,7,6,3,2,5,4,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]
[4,1,2,5,6,7,8,3]=>[3,8,7,6,5,2,1,4]=>[3,8,7,6,5,2,1,4]=>[[[.,[[[[.,.],.],.],.]],.],[.,.]]
[1,4,5,2,6,7,8,3]=>[3,8,7,6,2,5,4,1]=>[8,7,3,6,5,2,1,4]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]
[1,4,5,6,2,7,8,3]=>[3,8,7,2,6,5,4,1]=>[8,7,6,3,5,2,1,4]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]
[1,4,5,6,7,2,8,3]=>[3,8,2,7,6,5,4,1]=>[8,7,6,3,2,5,1,4]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[1,4,5,6,7,8,2,3]=>[3,2,8,7,6,5,4,1]=>[8,7,6,3,2,1,5,4]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[4,1,6,2,7,3,8,5]=>[5,8,3,7,2,6,1,4]=>[5,8,3,7,2,6,1,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[4,1,6,7,2,3,8,5]=>[5,8,3,2,7,6,1,4]=>[5,8,3,2,7,6,1,4]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]
[4,6,1,7,2,3,8,5]=>[5,8,3,2,7,1,6,4]=>[5,3,8,2,7,6,1,4]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[4,6,1,2,7,8,3,5]=>[5,3,8,7,2,1,6,4]=>[5,3,8,7,2,1,6,4]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[4,1,6,7,2,8,3,5]=>[5,3,8,2,7,6,1,4]=>[5,8,3,2,7,1,6,4]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[4,6,1,7,2,8,3,5]=>[5,3,8,2,7,1,6,4]=>[5,3,8,2,7,1,6,4]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[4,6,7,1,2,8,3,5]=>[5,3,8,2,1,7,6,4]=>[5,3,2,8,7,1,6,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[4,6,1,7,8,2,3,5]=>[5,3,2,8,7,1,6,4]=>[5,3,8,2,1,7,6,4]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[4,6,7,1,8,2,3,5]=>[5,3,2,8,1,7,6,4]=>[5,3,2,8,1,7,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[4,6,7,8,1,2,3,5]=>[5,3,2,1,8,7,6,4]=>[5,3,2,1,8,7,6,4]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[4,1,6,2,7,3,5,8]=>[8,5,3,7,2,6,1,4]=>[5,8,3,7,2,6,4,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[4,6,1,2,7,3,5,8]=>[8,5,3,7,2,1,6,4]=>[5,3,8,7,2,6,4,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[4,1,6,7,2,3,5,8]=>[8,5,3,2,7,6,1,4]=>[5,8,3,2,7,6,4,1]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]
[4,6,1,7,2,3,5,8]=>[8,5,3,2,7,1,6,4]=>[5,3,8,2,7,6,4,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[4,6,7,1,2,3,5,8]=>[8,5,3,2,1,7,6,4]=>[5,3,2,8,7,6,4,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]
[4,1,6,2,3,7,5,8]=>[8,5,7,3,2,6,1,4]=>[5,8,3,7,6,2,4,1]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[4,6,1,2,3,7,5,8]=>[8,5,7,3,2,1,6,4]=>[5,3,8,7,6,2,4,1]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]
[1,4,2,6,3,7,5,8]=>[8,5,7,3,6,2,4,1]=>[8,5,7,3,6,2,4,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,4,6,2,7,3,5,8]=>[8,5,3,7,2,6,4,1]=>[8,5,3,7,2,6,4,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[1,4,6,7,2,3,5,8]=>[8,5,3,2,7,6,4,1]=>[8,5,3,2,7,6,4,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]
[4,1,6,2,3,7,8,5]=>[5,8,7,3,2,6,1,4]=>[5,8,3,7,6,2,1,4]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]
[4,6,1,2,3,7,8,5]=>[5,8,7,3,2,1,6,4]=>[5,3,8,7,6,2,1,4]=>[[[[.,.],[[[.,.],.],.]],.],[.,.]]
[4,1,2,6,7,3,8,5]=>[5,8,3,7,6,2,1,4]=>[5,8,7,3,2,6,1,4]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]
[1,4,2,6,7,3,8,5]=>[5,8,3,7,6,2,4,1]=>[8,5,7,3,2,6,1,4]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]
[1,4,6,2,7,3,8,5]=>[5,8,3,7,2,6,4,1]=>[8,5,3,7,2,6,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[1,4,6,7,2,3,8,5]=>[5,8,3,2,7,6,4,1]=>[8,5,3,2,7,6,1,4]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[4,1,2,6,7,8,3,5]=>[5,3,8,7,6,2,1,4]=>[5,8,7,3,2,1,6,4]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]
[1,4,2,6,7,8,3,5]=>[5,3,8,7,6,2,4,1]=>[8,5,7,3,2,1,6,4]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]
[1,4,6,2,7,8,3,5]=>[5,3,8,7,2,6,4,1]=>[8,5,3,7,2,1,6,4]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]
[1,4,6,7,2,8,3,5]=>[5,3,8,2,7,6,4,1]=>[8,5,3,2,7,1,6,4]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[4,1,6,2,8,3,5,7]=>[7,5,3,8,2,6,1,4]=>[7,8,5,6,3,4,2,1]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]
[4,6,1,2,8,3,5,7]=>[7,5,3,8,2,1,6,4]=>[7,5,8,6,3,4,2,1]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]
[4,1,6,8,2,3,5,7]=>[7,5,3,2,8,6,1,4]=>[7,8,5,3,6,4,2,1]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]
[4,6,1,8,2,3,5,7]=>[7,5,3,2,8,1,6,4]=>[7,5,8,3,6,4,2,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[4,6,8,1,2,3,5,7]=>[7,5,3,2,1,8,6,4]=>[7,5,3,8,6,4,2,1]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]
[4,6,1,2,3,8,5,7]=>[7,5,8,3,2,1,6,4]=>[7,5,8,6,3,2,4,1]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]
[4,1,2,6,3,8,5,7]=>[7,5,8,3,6,2,1,4]=>[7,8,5,3,6,2,4,1]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]
[1,4,2,6,3,8,5,7]=>[7,5,8,3,6,2,4,1]=>[7,5,8,3,6,2,4,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,4,6,2,3,8,5,7]=>[7,5,8,3,2,6,4,1]=>[7,5,3,8,6,2,4,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]
[4,1,2,6,8,3,5,7]=>[7,5,3,8,6,2,1,4]=>[7,8,5,3,2,6,4,1]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.]
[1,4,6,2,8,3,5,7]=>[7,5,3,8,2,6,4,1]=>[7,5,3,8,2,6,4,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[1,4,6,8,2,3,5,7]=>[7,5,3,2,8,6,4,1]=>[7,5,3,2,8,6,4,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]
[4,1,6,2,3,5,8,7]=>[7,8,5,3,2,6,1,4]=>[7,8,5,6,3,2,1,4]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]
[4,6,1,2,3,5,8,7]=>[7,8,5,3,2,1,6,4]=>[7,5,8,6,3,2,1,4]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]
[4,1,2,6,3,5,8,7]=>[7,8,5,3,6,2,1,4]=>[7,8,5,3,6,2,1,4]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]
[1,4,2,6,3,5,8,7]=>[7,8,5,3,6,2,4,1]=>[7,5,8,3,6,2,1,4]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]
[1,4,6,2,3,5,8,7]=>[7,8,5,3,2,6,4,1]=>[7,5,3,8,6,2,1,4]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]
[4,1,2,3,6,5,8,7]=>[7,8,5,6,3,2,1,4]=>[7,8,5,3,2,6,1,4]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]
[1,2,4,6,3,5,8,7]=>[7,8,5,3,6,4,2,1]=>[7,5,3,2,8,6,1,4]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[4,1,2,3,6,8,5,7]=>[7,5,8,6,3,2,1,4]=>[7,8,5,3,2,1,6,4]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]
[1,4,2,3,6,8,5,7]=>[7,5,8,6,3,2,4,1]=>[7,5,8,3,2,1,6,4]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]
[1,2,4,3,6,8,5,7]=>[7,5,8,6,3,4,2,1]=>[7,5,3,8,2,1,6,4]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]
[1,2,4,6,8,3,5,7]=>[7,5,3,8,6,4,2,1]=>[7,5,3,2,1,8,6,4]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[4,1,6,2,3,5,7,8]=>[8,7,5,3,2,6,1,4]=>[5,8,3,7,6,4,2,1]=>[[[[.,[.,.]],[[[.,.],.],.]],.],.]
[4,6,1,2,3,5,7,8]=>[8,7,5,3,2,1,6,4]=>[5,3,8,7,6,4,2,1]=>[[[[.,.],[[[[.,.],.],.],.]],.],.]
[1,4,2,6,3,5,7,8]=>[8,7,5,3,6,2,4,1]=>[8,5,7,3,6,4,2,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[4,1,2,3,6,5,7,8]=>[8,7,5,6,3,2,1,4]=>[5,8,7,6,3,4,2,1]=>[[[[.,[[[.,.],.],.]],[.,.]],.],.]
[1,2,4,6,3,5,7,8]=>[8,7,5,3,6,4,2,1]=>[8,7,5,3,6,4,2,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]
[4,1,2,3,6,7,5,8]=>[8,5,7,6,3,2,1,4]=>[5,8,7,6,3,2,4,1]=>[[[[.,[[[.,.],.],.]],.],[.,.]],.]
[1,4,2,3,6,7,5,8]=>[8,5,7,6,3,2,4,1]=>[8,5,7,6,3,2,4,1]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]
[1,2,4,6,7,3,5,8]=>[8,5,3,7,6,4,2,1]=>[8,7,5,3,2,6,4,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]
[4,1,2,3,6,7,8,5]=>[5,8,7,6,3,2,1,4]=>[5,8,7,6,3,2,1,4]=>[[[[.,[[[.,.],.],.]],.],.],[.,.]]
[1,4,2,3,6,7,8,5]=>[5,8,7,6,3,2,4,1]=>[8,5,7,6,3,2,1,4]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]
[1,2,4,6,7,3,8,5]=>[5,8,3,7,6,4,2,1]=>[8,7,5,3,2,6,1,4]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[1,2,4,6,7,8,3,5]=>[5,3,8,7,6,4,2,1]=>[8,7,5,3,2,1,6,4]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[4,1,7,2,8,3,5,6]=>[6,5,3,8,2,7,1,4]=>[6,8,5,7,3,4,2,1]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]
[4,7,1,2,8,3,5,6]=>[6,5,3,8,2,1,7,4]=>[6,5,8,7,3,4,2,1]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]
[4,1,7,8,2,3,5,6]=>[6,5,3,2,8,7,1,4]=>[6,8,5,3,7,4,2,1]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]
[4,7,1,8,2,3,5,6]=>[6,5,3,2,8,1,7,4]=>[6,5,8,3,7,4,2,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[4,7,1,2,3,8,5,6]=>[6,5,8,3,2,1,7,4]=>[6,5,8,7,3,2,4,1]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]
[4,1,2,7,3,8,5,6]=>[6,5,8,3,7,2,1,4]=>[6,8,5,3,7,2,4,1]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]
[1,4,2,7,3,8,5,6]=>[6,5,8,3,7,2,4,1]=>[6,5,8,3,7,2,4,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,4,7,2,8,3,5,6]=>[6,5,3,8,2,7,4,1]=>[6,5,3,8,2,7,4,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[1,4,7,8,2,3,5,6]=>[6,5,3,2,8,7,4,1]=>[6,5,3,2,8,7,4,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]
[4,1,7,2,3,5,8,6]=>[6,8,5,3,2,7,1,4]=>[6,8,5,7,3,2,1,4]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]
[4,1,2,7,3,5,8,6]=>[6,8,5,3,7,2,1,4]=>[6,8,5,3,7,2,1,4]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]
[1,4,2,7,3,5,8,6]=>[6,8,5,3,7,2,4,1]=>[6,5,8,3,7,2,1,4]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]
[4,1,2,3,7,5,8,6]=>[6,8,5,7,3,2,1,4]=>[6,8,5,3,2,7,1,4]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]
[1,4,2,3,7,8,5,6]=>[6,5,8,7,3,2,4,1]=>[6,5,8,3,2,1,7,4]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]
[1,2,4,3,7,8,5,6]=>[6,5,8,7,3,4,2,1]=>[6,5,3,8,2,1,7,4]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]
[4,1,7,2,3,5,6,8]=>[8,6,5,3,2,7,1,4]=>[6,8,3,7,5,4,2,1]=>[[[[.,[.,.]],[[[.,.],.],.]],.],.]
[4,7,1,2,3,5,6,8]=>[8,6,5,3,2,1,7,4]=>[6,3,8,7,5,4,2,1]=>[[[[.,.],[[[[.,.],.],.],.]],.],.]
[4,1,2,7,3,5,6,8]=>[8,6,5,3,7,2,1,4]=>[6,8,7,3,5,4,2,1]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]
[1,4,2,7,3,5,6,8]=>[8,6,5,3,7,2,4,1]=>[8,6,7,3,5,4,2,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[1,4,2,3,7,5,6,8]=>[8,6,5,7,3,2,4,1]=>[8,6,7,5,3,4,2,1]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.]
[1,2,4,7,3,5,6,8]=>[8,6,5,3,7,4,2,1]=>[8,6,5,3,7,4,2,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]
[4,1,2,3,5,7,6,8]=>[8,6,7,5,3,2,1,4]=>[6,8,7,5,3,2,4,1]=>[[[[[.,[[.,.],.]],.],.],[.,.]],.]
[1,4,2,3,5,7,6,8]=>[8,6,7,5,3,2,4,1]=>[8,6,7,5,3,2,4,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]
[4,1,2,3,5,7,8,6]=>[6,8,7,5,3,2,1,4]=>[6,8,7,5,3,2,1,4]=>[[[[[.,[[.,.],.]],.],.],.],[.,.]]
[1,4,2,3,5,7,8,6]=>[6,8,7,5,3,2,4,1]=>[8,6,7,5,3,2,1,4]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]
[1,2,4,5,7,8,3,6]=>[6,3,8,7,5,4,2,1]=>[8,6,5,3,2,1,7,4]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[4,8,1,2,3,5,6,7]=>[7,6,5,3,2,1,8,4]=>[7,3,8,6,5,4,2,1]=>[[[[.,.],[[[[.,.],.],.],.]],.],.]
[1,4,2,8,3,5,6,7]=>[7,6,5,3,8,2,4,1]=>[7,6,8,3,5,4,2,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[1,4,8,2,3,5,6,7]=>[7,6,5,3,2,8,4,1]=>[7,6,3,8,5,4,2,1]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]
[4,1,2,3,8,5,6,7]=>[7,6,5,8,3,2,1,4]=>[7,8,6,5,3,4,2,1]=>[[[[[[.,[.,.]],.],.],[.,.]],.],.]
[1,4,2,3,8,5,6,7]=>[7,6,5,8,3,2,4,1]=>[7,6,8,5,3,4,2,1]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.]
[1,2,4,3,8,5,6,7]=>[7,6,5,8,3,4,2,1]=>[7,6,5,8,3,4,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]
[4,1,2,3,5,8,6,7]=>[7,6,8,5,3,2,1,4]=>[7,8,6,5,3,2,4,1]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.]
[1,4,2,3,5,8,6,7]=>[7,6,8,5,3,2,4,1]=>[7,6,8,5,3,2,4,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]
[1,2,4,3,5,8,6,7]=>[7,6,8,5,3,4,2,1]=>[7,6,5,8,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]
[4,1,2,3,5,6,8,7]=>[7,8,6,5,3,2,1,4]=>[7,8,6,5,3,2,1,4]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]
[1,4,2,3,5,6,8,7]=>[7,8,6,5,3,2,4,1]=>[7,6,8,5,3,2,1,4]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]
[1,2,4,5,6,8,3,7]=>[7,3,8,6,5,4,2,1]=>[7,6,5,3,2,1,8,4]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[1,4,2,3,5,6,7,8]=>[8,7,6,5,3,2,4,1]=>[8,3,7,6,5,4,2,1]=>[[[[.,.],[[[[.,.],.],.],.]],.],.]
[5,1,6,2,7,3,8,4]=>[4,8,3,7,2,6,1,5]=>[4,8,3,7,2,6,1,5]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[5,6,1,2,7,3,8,4]=>[4,8,3,7,2,1,6,5]=>[4,3,8,7,2,6,1,5]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[5,1,6,7,2,3,8,4]=>[4,8,3,2,7,6,1,5]=>[4,8,3,2,7,6,1,5]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]
[5,6,7,1,2,3,8,4]=>[4,8,3,2,1,7,6,5]=>[4,3,2,8,7,6,1,5]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[5,1,6,2,7,8,3,4]=>[4,3,8,7,2,6,1,5]=>[4,8,3,7,2,1,6,5]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[5,6,1,2,7,8,3,4]=>[4,3,8,7,2,1,6,5]=>[4,3,8,7,2,1,6,5]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[5,6,1,7,2,8,3,4]=>[4,3,8,2,7,1,6,5]=>[4,3,8,2,7,1,6,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[5,1,6,7,8,2,3,4]=>[4,3,2,8,7,6,1,5]=>[4,8,3,2,1,7,6,5]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[5,6,7,1,8,2,3,4]=>[4,3,2,8,1,7,6,5]=>[4,3,2,8,1,7,6,5]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[5,6,1,2,7,3,4,8]=>[8,4,3,7,2,1,6,5]=>[4,3,8,7,2,6,5,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[5,1,6,7,2,3,4,8]=>[8,4,3,2,7,6,1,5]=>[4,8,3,2,7,6,5,1]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]
[5,6,1,7,2,3,4,8]=>[8,4,3,2,7,1,6,5]=>[4,3,8,2,7,6,5,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[5,1,6,2,3,7,4,8]=>[8,4,7,3,2,6,1,5]=>[4,8,3,7,6,2,5,1]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[5,1,2,6,3,7,4,8]=>[8,4,7,3,6,2,1,5]=>[4,8,7,3,6,2,5,1]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[1,5,2,6,3,7,4,8]=>[8,4,7,3,6,2,5,1]=>[8,4,7,3,6,2,5,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[5,1,2,6,7,3,4,8]=>[8,4,3,7,6,2,1,5]=>[4,8,7,3,2,6,5,1]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]
[1,5,6,7,2,3,4,8]=>[8,4,3,2,7,6,5,1]=>[8,4,3,2,7,6,5,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]
[5,1,6,2,3,7,8,4]=>[4,8,7,3,2,6,1,5]=>[4,8,3,7,6,2,1,5]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]
[5,6,1,2,3,7,8,4]=>[4,8,7,3,2,1,6,5]=>[4,3,8,7,6,2,1,5]=>[[[[.,.],[[[.,.],.],.]],.],[.,.]]
[5,1,2,6,3,7,8,4]=>[4,8,7,3,6,2,1,5]=>[4,8,7,3,6,2,1,5]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]]
[1,5,2,6,3,7,8,4]=>[4,8,7,3,6,2,5,1]=>[8,4,7,3,6,2,1,5]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]
[1,5,6,2,3,7,8,4]=>[4,8,7,3,2,6,5,1]=>[8,4,3,7,6,2,1,5]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]
[1,5,2,6,7,3,8,4]=>[4,8,3,7,6,2,5,1]=>[8,4,7,3,2,6,1,5]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]
[1,5,6,7,2,3,8,4]=>[4,8,3,2,7,6,5,1]=>[8,4,3,2,7,6,1,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[5,1,2,6,7,8,3,4]=>[4,3,8,7,6,2,1,5]=>[4,8,7,3,2,1,6,5]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]
[1,5,6,7,2,8,3,4]=>[4,3,8,2,7,6,5,1]=>[8,4,3,2,7,1,6,5]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[5,6,1,2,8,3,4,7]=>[7,4,3,8,2,1,6,5]=>[7,4,8,6,3,5,2,1]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]
[5,1,6,8,2,3,4,7]=>[7,4,3,2,8,6,1,5]=>[7,8,4,3,6,5,2,1]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]
[5,6,1,8,2,3,4,7]=>[7,4,3,2,8,1,6,5]=>[7,4,8,3,6,5,2,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[5,6,1,2,3,8,4,7]=>[7,4,8,3,2,1,6,5]=>[7,4,8,6,3,2,5,1]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]
[1,5,2,6,3,8,4,7]=>[7,4,8,3,6,2,5,1]=>[7,4,8,3,6,2,5,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,5,6,2,3,8,4,7]=>[7,4,8,3,2,6,5,1]=>[7,4,3,8,6,2,5,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]
[1,5,2,6,8,3,4,7]=>[7,4,3,8,6,2,5,1]=>[7,4,8,3,2,6,5,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]
[1,5,6,2,8,3,4,7]=>[7,4,3,8,2,6,5,1]=>[7,4,3,8,2,6,5,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[5,1,2,6,3,4,8,7]=>[7,8,4,3,6,2,1,5]=>[7,8,4,3,6,2,1,5]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]
[1,5,2,6,3,4,8,7]=>[7,8,4,3,6,2,5,1]=>[7,4,8,3,6,2,1,5]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]
[1,5,6,2,3,4,8,7]=>[7,8,4,3,2,6,5,1]=>[7,4,3,8,6,2,1,5]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]
[1,2,5,6,3,4,8,7]=>[7,8,4,3,6,5,2,1]=>[7,4,3,2,8,6,1,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[1,5,2,3,6,8,4,7]=>[7,4,8,6,3,2,5,1]=>[7,4,8,3,2,1,6,5]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]
[1,2,5,3,6,8,4,7]=>[7,4,8,6,3,5,2,1]=>[7,4,3,8,2,1,6,5]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]
[1,2,5,6,3,8,4,7]=>[7,4,8,3,6,5,2,1]=>[7,4,3,2,8,1,6,5]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[5,1,6,2,3,4,7,8]=>[8,7,4,3,2,6,1,5]=>[4,8,3,7,6,5,2,1]=>[[[[.,[.,.]],[[[.,.],.],.]],.],.]
[5,1,2,6,3,4,7,8]=>[8,7,4,3,6,2,1,5]=>[4,8,7,3,6,5,2,1]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]
[1,5,2,6,3,4,7,8]=>[8,7,4,3,6,2,5,1]=>[8,4,7,3,6,5,2,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[5,1,2,3,6,4,7,8]=>[8,7,4,6,3,2,1,5]=>[4,8,7,6,3,5,2,1]=>[[[[.,[[[.,.],.],.]],[.,.]],.],.]
[1,5,2,3,6,4,7,8]=>[8,7,4,6,3,2,5,1]=>[8,4,7,6,3,5,2,1]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]
[1,2,5,3,6,4,7,8]=>[8,7,4,6,3,5,2,1]=>[8,7,4,6,3,5,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]
[1,2,5,6,3,4,7,8]=>[8,7,4,3,6,5,2,1]=>[8,7,4,3,6,5,2,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]
[5,1,2,3,6,7,4,8]=>[8,4,7,6,3,2,1,5]=>[4,8,7,6,3,2,5,1]=>[[[[.,[[[.,.],.],.]],.],[.,.]],.]
[1,2,5,3,6,7,4,8]=>[8,4,7,6,3,5,2,1]=>[8,7,4,6,3,2,5,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]
[1,2,5,6,3,7,4,8]=>[8,4,7,3,6,5,2,1]=>[8,7,4,3,6,2,5,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[5,1,2,3,6,7,8,4]=>[4,8,7,6,3,2,1,5]=>[4,8,7,6,3,2,1,5]=>[[[[.,[[[.,.],.],.]],.],.],[.,.]]
[1,5,2,3,6,7,8,4]=>[4,8,7,6,3,2,5,1]=>[8,4,7,6,3,2,1,5]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]
[1,2,5,3,6,7,8,4]=>[4,8,7,6,3,5,2,1]=>[8,7,4,6,3,2,1,5]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]
[1,2,5,6,3,7,8,4]=>[4,8,7,3,6,5,2,1]=>[8,7,4,3,6,2,1,5]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]
[1,2,5,6,7,3,8,4]=>[4,8,3,7,6,5,2,1]=>[8,7,4,3,2,6,1,5]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[1,2,5,6,7,8,3,4]=>[4,3,8,7,6,5,2,1]=>[8,7,4,3,2,1,6,5]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[5,1,7,2,8,3,4,6]=>[6,4,3,8,2,7,1,5]=>[6,8,4,7,3,5,2,1]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]
[5,7,1,2,8,3,4,6]=>[6,4,3,8,2,1,7,5]=>[6,4,8,7,3,5,2,1]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]
[5,1,7,8,2,3,4,6]=>[6,4,3,2,8,7,1,5]=>[6,8,4,3,7,5,2,1]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]
[5,7,1,8,2,3,4,6]=>[6,4,3,2,8,1,7,5]=>[6,4,8,3,7,5,2,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[5,1,7,2,3,8,4,6]=>[6,4,8,3,2,7,1,5]=>[6,8,4,7,3,2,5,1]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]
[5,7,1,2,3,8,4,6]=>[6,4,8,3,2,1,7,5]=>[6,4,8,7,3,2,5,1]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]
[1,5,2,7,3,8,4,6]=>[6,4,8,3,7,2,5,1]=>[6,4,8,3,7,2,5,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,5,7,2,8,3,4,6]=>[6,4,3,8,2,7,5,1]=>[6,4,3,8,2,7,5,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[1,5,7,8,2,3,4,6]=>[6,4,3,2,8,7,5,1]=>[6,4,3,2,8,7,5,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]
[5,1,7,2,3,4,8,6]=>[6,8,4,3,2,7,1,5]=>[6,8,4,7,3,2,1,5]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]
[5,7,1,2,3,4,8,6]=>[6,8,4,3,2,1,7,5]=>[6,4,8,7,3,2,1,5]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]
[5,1,2,7,3,4,8,6]=>[6,8,4,3,7,2,1,5]=>[6,8,4,3,7,2,1,5]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]
[1,5,7,2,3,4,8,6]=>[6,8,4,3,2,7,5,1]=>[6,4,3,8,7,2,1,5]=>[[[[[.,.],.],[[.,.],.]],.],[.,.]]
[5,1,2,3,7,4,8,6]=>[6,8,4,7,3,2,1,5]=>[6,8,4,3,2,7,1,5]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]
[1,5,2,3,7,4,8,6]=>[6,8,4,7,3,2,5,1]=>[6,4,8,3,2,7,1,5]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]
[1,2,5,3,7,4,8,6]=>[6,8,4,7,3,5,2,1]=>[6,4,3,8,2,7,1,5]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[1,2,5,7,3,4,8,6]=>[6,8,4,3,7,5,2,1]=>[6,4,3,2,8,7,1,5]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[1,5,2,3,7,8,4,6]=>[6,4,8,7,3,2,5,1]=>[6,4,8,3,2,1,7,5]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]
[1,2,5,3,7,8,4,6]=>[6,4,8,7,3,5,2,1]=>[6,4,3,8,2,1,7,5]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]
[1,2,5,7,3,8,4,6]=>[6,4,8,3,7,5,2,1]=>[6,4,3,2,8,1,7,5]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[5,7,1,2,3,4,6,8]=>[8,6,4,3,2,1,7,5]=>[6,4,8,7,5,3,2,1]=>[[[[[.,.],[[[.,.],.],.]],.],.],.]
[5,1,2,7,3,4,6,8]=>[8,6,4,3,7,2,1,5]=>[6,8,7,4,5,3,2,1]=>[[[[[.,[[.,.],.]],[.,.]],.],.],.]
[1,5,2,7,3,4,6,8]=>[8,6,4,3,7,2,5,1]=>[8,6,7,4,5,3,2,1]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]
[1,5,7,2,3,4,6,8]=>[8,6,4,3,2,7,5,1]=>[8,6,4,7,5,3,2,1]=>[[[[[[.,.],.],[[.,.],.]],.],.],.]
[1,2,5,7,3,4,6,8]=>[8,6,4,3,7,5,2,1]=>[8,6,4,3,7,5,2,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]
[1,2,5,3,4,7,6,8]=>[8,6,7,4,3,5,2,1]=>[8,6,4,7,3,2,5,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]
[5,1,2,3,4,7,8,6]=>[6,8,7,4,3,2,1,5]=>[6,8,7,4,3,2,1,5]=>[[[[[.,[[.,.],.]],.],.],.],[.,.]]
[1,5,2,3,4,7,8,6]=>[6,8,7,4,3,2,5,1]=>[8,6,7,4,3,2,1,5]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]
[1,2,3,5,7,8,4,6]=>[6,4,8,7,5,3,2,1]=>[8,6,4,3,2,1,7,5]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[5,8,1,2,3,4,6,7]=>[7,6,4,3,2,1,8,5]=>[7,4,8,6,5,3,2,1]=>[[[[[.,.],[[[.,.],.],.]],.],.],.]
[5,1,2,8,3,4,6,7]=>[7,6,4,3,8,2,1,5]=>[7,8,6,4,5,3,2,1]=>[[[[[[.,[.,.]],.],[.,.]],.],.],.]
[1,5,8,2,3,4,6,7]=>[7,6,4,3,2,8,5,1]=>[7,6,4,8,5,3,2,1]=>[[[[[[.,.],.],[[.,.],.]],.],.],.]
[5,1,2,3,8,4,6,7]=>[7,6,4,8,3,2,1,5]=>[7,8,6,4,3,5,2,1]=>[[[[[[.,[.,.]],.],.],[.,.]],.],.]
[1,5,2,3,8,4,6,7]=>[7,6,4,8,3,2,5,1]=>[7,6,8,4,3,5,2,1]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.]
[1,2,5,8,3,4,6,7]=>[7,6,4,3,8,5,2,1]=>[7,6,4,3,8,5,2,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]
[1,5,2,3,4,8,6,7]=>[7,6,8,4,3,2,5,1]=>[7,6,8,4,3,2,5,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]
[1,2,5,3,4,8,6,7]=>[7,6,8,4,3,5,2,1]=>[7,6,4,8,3,2,5,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]
[5,1,2,3,4,6,8,7]=>[7,8,6,4,3,2,1,5]=>[7,8,6,4,3,2,1,5]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]
[1,5,2,3,4,6,8,7]=>[7,8,6,4,3,2,5,1]=>[7,6,8,4,3,2,1,5]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]
[1,2,5,3,4,6,8,7]=>[7,8,6,4,3,5,2,1]=>[7,6,4,8,3,2,1,5]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]
[1,2,3,5,6,8,4,7]=>[7,4,8,6,5,3,2,1]=>[7,6,4,3,2,1,8,5]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[1,5,2,3,4,6,7,8]=>[8,7,6,4,3,2,5,1]=>[8,4,7,6,5,3,2,1]=>[[[[[.,.],[[[.,.],.],.]],.],.],.]
[1,2,5,3,4,6,7,8]=>[8,7,6,4,3,5,2,1]=>[8,7,4,6,5,3,2,1]=>[[[[[[.,.],.],[[.,.],.]],.],.],.]
[6,1,7,2,8,3,4,5]=>[5,4,3,8,2,7,1,6]=>[5,8,4,7,3,6,2,1]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]
[6,1,7,8,2,3,4,5]=>[5,4,3,2,8,7,1,6]=>[5,8,4,3,7,6,2,1]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]
[6,1,7,2,3,8,4,5]=>[5,4,8,3,2,7,1,6]=>[5,8,4,7,3,2,6,1]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]
[6,7,1,2,3,8,4,5]=>[5,4,8,3,2,1,7,6]=>[5,4,8,7,3,2,6,1]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]
[6,1,2,7,3,8,4,5]=>[5,4,8,3,7,2,1,6]=>[5,8,4,3,7,2,6,1]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]
[1,6,2,7,3,8,4,5]=>[5,4,8,3,7,2,6,1]=>[5,4,8,3,7,2,6,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,6,7,2,8,3,4,5]=>[5,4,3,8,2,7,6,1]=>[5,4,3,8,2,7,6,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[1,6,7,8,2,3,4,5]=>[5,4,3,2,8,7,6,1]=>[5,4,3,2,8,7,6,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]
[6,1,7,2,3,4,8,5]=>[5,8,4,3,2,7,1,6]=>[5,8,4,7,3,2,1,6]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]
[6,7,1,2,3,4,8,5]=>[5,8,4,3,2,1,7,6]=>[5,4,8,7,3,2,1,6]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]
[6,1,2,7,3,4,8,5]=>[5,8,4,3,7,2,1,6]=>[5,8,4,3,7,2,1,6]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]
[1,6,2,7,3,4,8,5]=>[5,8,4,3,7,2,6,1]=>[5,4,8,3,7,2,1,6]=>[[[[[.,.],[.,.]],[.,.]],.],[.,.]]
[6,1,2,3,7,4,8,5]=>[5,8,4,7,3,2,1,6]=>[5,8,4,3,2,7,1,6]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]
[1,6,2,3,7,4,8,5]=>[5,8,4,7,3,2,6,1]=>[5,4,8,3,2,7,1,6]=>[[[[[.,.],[.,.]],.],[.,.]],[.,.]]
[1,2,6,3,7,4,8,5]=>[5,8,4,7,3,6,2,1]=>[5,4,3,8,2,7,1,6]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[1,2,6,7,3,4,8,5]=>[5,8,4,3,7,6,2,1]=>[5,4,3,2,8,7,1,6]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[6,1,2,3,7,8,4,5]=>[5,4,8,7,3,2,1,6]=>[5,8,4,3,2,1,7,6]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]
[1,6,2,3,7,8,4,5]=>[5,4,8,7,3,2,6,1]=>[5,4,8,3,2,1,7,6]=>[[[[[.,.],[.,.]],.],.],[[.,.],.]]
[1,2,6,3,7,8,4,5]=>[5,4,8,7,3,6,2,1]=>[5,4,3,8,2,1,7,6]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]
[1,2,6,7,8,3,4,5]=>[5,4,3,8,7,6,2,1]=>[5,4,3,2,1,8,7,6]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[6,1,7,2,3,4,5,8]=>[8,5,4,3,2,7,1,6]=>[5,8,4,7,6,3,2,1]=>[[[[[.,[.,.]],[[.,.],.]],.],.],.]
[1,6,2,7,3,4,5,8]=>[8,5,4,3,7,2,6,1]=>[8,5,7,4,6,3,2,1]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]
[1,6,7,2,3,4,5,8]=>[8,5,4,3,2,7,6,1]=>[8,5,4,7,6,3,2,1]=>[[[[[[.,.],.],[[.,.],.]],.],.],.]
[6,1,2,3,7,4,5,8]=>[8,5,4,7,3,2,1,6]=>[5,8,7,4,3,6,2,1]=>[[[[[.,[[.,.],.]],.],[.,.]],.],.]
[1,2,6,7,3,4,5,8]=>[8,5,4,3,7,6,2,1]=>[8,5,4,3,7,6,2,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]
[1,6,2,3,4,7,5,8]=>[8,5,7,4,3,2,6,1]=>[8,5,7,4,3,2,6,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]
[1,2,3,6,4,7,5,8]=>[8,5,7,4,6,3,2,1]=>[8,5,4,3,7,2,6,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[1,2,3,6,7,4,5,8]=>[8,5,4,7,6,3,2,1]=>[8,5,4,3,2,7,6,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]
[6,1,2,3,4,7,8,5]=>[5,8,7,4,3,2,1,6]=>[5,8,7,4,3,2,1,6]=>[[[[[.,[[.,.],.]],.],.],.],[.,.]]
[1,2,6,3,4,7,8,5]=>[5,8,7,4,3,6,2,1]=>[8,5,4,7,3,2,1,6]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]
[1,2,3,6,4,7,8,5]=>[5,8,7,4,6,3,2,1]=>[8,5,4,3,7,2,1,6]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]
[1,2,3,6,7,4,8,5]=>[5,8,4,7,6,3,2,1]=>[8,5,4,3,2,7,1,6]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[6,1,8,2,3,4,5,7]=>[7,5,4,3,2,8,1,6]=>[7,8,5,6,4,3,2,1]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.]
[6,8,1,2,3,4,5,7]=>[7,5,4,3,2,1,8,6]=>[7,5,8,6,4,3,2,1]=>[[[[[[.,.],[[.,.],.]],.],.],.],.]
[1,6,2,8,3,4,5,7]=>[7,5,4,3,8,2,6,1]=>[7,5,8,4,6,3,2,1]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]
[1,6,2,3,8,4,5,7]=>[7,5,4,8,3,2,6,1]=>[7,5,8,4,3,6,2,1]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.]
[1,2,6,3,8,4,5,7]=>[7,5,4,8,3,6,2,1]=>[7,5,4,8,3,6,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]
[6,1,2,3,4,8,5,7]=>[7,5,8,4,3,2,1,6]=>[7,8,5,4,3,2,6,1]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.]
[1,2,6,3,4,8,5,7]=>[7,5,8,4,3,6,2,1]=>[7,5,4,8,3,2,6,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]
[1,2,3,6,4,8,5,7]=>[7,5,8,4,6,3,2,1]=>[7,5,4,3,8,2,6,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[1,2,3,6,8,4,5,7]=>[7,5,4,8,6,3,2,1]=>[7,5,4,3,2,8,6,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]
[6,1,2,3,4,5,8,7]=>[7,8,5,4,3,2,1,6]=>[7,8,5,4,3,2,1,6]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]
[1,6,2,3,4,5,8,7]=>[7,8,5,4,3,2,6,1]=>[7,5,8,4,3,2,1,6]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]
[1,2,3,4,6,8,5,7]=>[7,5,8,6,4,3,2,1]=>[7,5,4,3,2,1,8,6]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[1,6,2,3,4,5,7,8]=>[8,7,5,4,3,2,6,1]=>[8,5,7,6,4,3,2,1]=>[[[[[[.,.],[[.,.],.]],.],.],.],.]
[1,2,6,3,4,5,7,8]=>[8,7,5,4,3,6,2,1]=>[8,7,5,6,4,3,2,1]=>[[[[[[[.,.],.],[.,.]],.],.],.],.]
[1,2,3,6,4,5,7,8]=>[8,7,5,4,6,3,2,1]=>[8,7,5,4,6,3,2,1]=>[[[[[[[.,.],.],.],[.,.]],.],.],.]
[7,1,8,2,3,4,5,6]=>[6,5,4,3,2,8,1,7]=>[6,8,5,7,4,3,2,1]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.]
[7,1,2,8,3,4,5,6]=>[6,5,4,3,8,2,1,7]=>[6,8,5,4,7,3,2,1]=>[[[[[[.,[.,.]],.],[.,.]],.],.],.]
[7,1,2,3,8,4,5,6]=>[6,5,4,8,3,2,1,7]=>[6,8,5,4,3,7,2,1]=>[[[[[[.,[.,.]],.],.],[.,.]],.],.]
[1,7,2,3,8,4,5,6]=>[6,5,4,8,3,2,7,1]=>[6,5,8,4,3,7,2,1]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.]
[1,2,7,3,8,4,5,6]=>[6,5,4,8,3,7,2,1]=>[6,5,4,8,3,7,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]
[1,2,7,8,3,4,5,6]=>[6,5,4,3,8,7,2,1]=>[6,5,4,3,8,7,2,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]
[7,1,2,3,4,8,5,6]=>[6,5,8,4,3,2,1,7]=>[6,8,5,4,3,2,7,1]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.]
[1,2,7,3,4,8,5,6]=>[6,5,8,4,3,7,2,1]=>[6,5,4,8,3,2,7,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]
[1,2,3,7,4,8,5,6]=>[6,5,8,4,7,3,2,1]=>[6,5,4,3,8,2,7,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[1,2,3,7,8,4,5,6]=>[6,5,4,8,7,3,2,1]=>[6,5,4,3,2,8,7,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]
[7,1,2,3,4,5,8,6]=>[6,8,5,4,3,2,1,7]=>[6,8,5,4,3,2,1,7]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]
[1,7,2,3,4,5,8,6]=>[6,8,5,4,3,2,7,1]=>[6,5,8,4,3,2,1,7]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]
[1,2,7,3,4,5,8,6]=>[6,8,5,4,3,7,2,1]=>[6,5,4,8,3,2,1,7]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]
[1,2,3,7,4,5,8,6]=>[6,8,5,4,7,3,2,1]=>[6,5,4,3,8,2,1,7]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]
[1,2,3,4,7,5,8,6]=>[6,8,5,7,4,3,2,1]=>[6,5,4,3,2,8,1,7]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[1,2,3,4,7,8,5,6]=>[6,5,8,7,4,3,2,1]=>[6,5,4,3,2,1,8,7]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[1,7,2,3,4,5,6,8]=>[8,6,5,4,3,2,7,1]=>[8,6,7,5,4,3,2,1]=>[[[[[[[.,.],[.,.]],.],.],.],.],.]
[1,2,7,3,4,5,6,8]=>[8,6,5,4,3,7,2,1]=>[8,6,5,7,4,3,2,1]=>[[[[[[[.,.],.],[.,.]],.],.],.],.]
[1,2,3,4,7,5,6,8]=>[8,6,5,7,4,3,2,1]=>[8,6,5,4,3,7,2,1]=>[[[[[[[.,.],.],.],.],[.,.]],.],.]
[1,8,2,3,4,5,6,7]=>[7,6,5,4,3,2,8,1]=>[7,6,8,5,4,3,2,1]=>[[[[[[[.,.],[.,.]],.],.],.],.],.]
[1,2,8,3,4,5,6,7]=>[7,6,5,4,3,8,2,1]=>[7,6,5,8,4,3,2,1]=>[[[[[[[.,.],.],[.,.]],.],.],.],.]
[1,2,3,8,4,5,6,7]=>[7,6,5,4,8,3,2,1]=>[7,6,5,4,8,3,2,1]=>[[[[[[[.,.],.],.],[.,.]],.],.],.]
[1,2,3,4,8,5,6,7]=>[7,6,5,8,4,3,2,1]=>[7,6,5,4,3,8,2,1]=>[[[[[[[.,.],.],.],.],[.,.]],.],.]
[1,2,3,4,5,8,6,7]=>[7,6,8,5,4,3,2,1]=>[7,6,5,4,3,2,8,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]
[5,3,2,6,1,4,8,7]=>[7,8,4,1,6,2,3,5]=>[1,2,7,4,8,6,3,5]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]
[7,3,2,5,4,8,1,6]=>[6,1,8,4,5,2,3,7]=>[1,6,8,4,5,2,7,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[8,4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4,8]=>[1,6,3,7,5,2,4,8]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[7,4,5,2,3,8,1,6]=>[6,1,8,3,2,5,4,7]=>[1,6,3,8,5,2,7,4]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[6,4,5,2,3,1,8,7]=>[7,8,1,3,2,5,4,6]=>[1,7,3,8,5,6,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,4,6,2,1,3,8,7]=>[7,8,3,1,2,6,4,5]=>[1,7,3,4,8,6,2,5]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[3,6,1,5,4,2,8,7]=>[7,8,2,4,5,1,6,3]=>[7,2,8,4,5,6,1,3]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[4,6,5,1,3,2,8,7]=>[7,8,2,3,1,5,6,4]=>[7,2,3,8,5,6,1,4]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]
[5,6,4,3,1,2,8,7]=>[7,8,2,1,3,4,6,5]=>[7,2,3,4,8,6,1,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[1,2,3,4,6,5,8,7]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[1,2,3,5,4,7,6,8]=>[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]
[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[1,2,3,5,4,6,8,7]=>[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]
[6,7,4,3,8,1,2,5]=>[5,2,1,8,3,4,7,6]=>[5,2,3,4,1,8,7,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[5,7,4,3,1,8,2,6]=>[6,2,8,1,3,4,7,5]=>[6,2,3,4,8,1,7,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[4,7,5,1,3,8,2,6]=>[6,2,8,3,1,5,7,4]=>[6,2,3,8,5,1,7,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]
[3,7,1,5,4,8,2,6]=>[6,2,8,4,5,1,7,3]=>[6,2,8,4,5,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[2,1,7,5,4,8,3,6]=>[6,3,8,4,5,7,1,2]=>[6,8,3,4,5,1,7,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[3,8,1,5,4,7,6,2]=>[2,6,7,4,5,1,8,3]=>[6,2,7,4,5,1,3,8]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[4,8,5,1,3,7,6,2]=>[2,6,7,3,1,5,8,4]=>[6,2,3,7,5,1,4,8]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]
[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[2,1,6,7,8,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[2,1,5,7,3,8,4,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[2,1,4,3,7,8,5,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[5,8,6,7,1,3,4,2]=>[2,4,3,1,7,6,8,5]=>[4,2,3,1,7,6,5,8]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[4,8,6,1,7,3,5,2]=>[2,5,3,7,1,6,8,4]=>[5,2,3,7,1,6,4,8]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[3,8,1,6,7,4,5,2]=>[2,5,4,7,6,1,8,3]=>[5,2,7,4,1,6,3,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[2,1,8,6,7,4,5,3]=>[3,5,4,7,6,8,1,2]=>[5,7,3,4,1,6,2,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,1,7,6,8,4,3,5]=>[5,3,4,8,6,7,1,2]=>[5,8,3,4,1,6,7,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]
[3,7,1,6,8,4,2,5]=>[5,2,4,8,6,1,7,3]=>[5,2,8,4,1,6,7,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[4,7,6,1,8,3,2,5]=>[5,2,3,8,1,6,7,4]=>[5,2,3,8,1,6,7,4]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[5,7,6,8,1,3,2,4]=>[4,2,3,1,8,6,7,5]=>[4,2,3,1,8,6,7,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[5,4,7,2,1,8,3,6]=>[6,3,8,1,2,7,4,5]=>[1,6,3,4,8,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[6,4,7,2,8,1,3,5]=>[5,3,1,8,2,7,4,6]=>[1,5,3,4,2,8,7,6]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[7,4,6,2,8,3,1,5]=>[5,1,3,8,2,6,4,7]=>[1,5,3,8,2,6,7,4]=>[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]
[8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>[1,5,3,7,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3,8]=>[1,5,7,4,2,6,3,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[7,3,2,6,8,4,1,5]=>[5,1,4,8,6,2,3,7]=>[1,5,8,4,2,6,7,3]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[6,3,2,7,8,1,4,5]=>[5,4,1,8,7,2,3,6]=>[1,2,5,4,3,8,7,6]=>[.,[.,[[[.,.],.],[[[.,.],.],.]]]]
[5,3,2,7,1,8,4,6]=>[6,4,8,1,7,2,3,5]=>[1,2,6,4,8,3,7,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[4,3,2,1,7,8,5,6]=>[6,5,8,7,1,2,3,4]=>[1,2,6,8,5,3,7,4]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]
[3,4,1,2,8,7,6,5]=>[5,6,7,8,2,1,4,3]=>[5,2,6,4,1,3,7,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[4,5,7,1,2,8,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[4,5,6,1,2,3,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[1,3,2,5,4,6,7,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[3,5,1,6,2,4,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[3,6,1,7,8,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,5,8,1,2,7,6,3]=>[3,6,7,2,1,8,5,4]=>[3,2,1,6,5,4,7,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[3,5,1,8,2,7,6,4]=>[4,6,7,2,8,1,5,3]=>[4,2,6,1,5,3,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[2,1,5,8,3,7,6,4]=>[4,6,7,3,8,5,1,2]=>[4,6,3,1,5,2,7,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[2,1,6,8,7,3,5,4]=>[4,5,3,7,8,6,1,2]=>[4,7,3,1,5,6,2,8]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[3,6,1,8,7,2,5,4]=>[4,5,2,7,8,1,6,3]=>[4,2,7,1,5,6,3,8]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[4,6,8,1,7,2,5,3]=>[3,5,2,7,1,8,6,4]=>[3,2,1,7,5,6,4,8]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[5,6,8,7,1,2,4,3]=>[3,4,2,1,7,8,6,5]=>[3,2,1,4,7,6,5,8]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[3,4,1,2,6,5,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[1,3,2,4,6,5,7,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,7,8,6,1,4,2,3]=>[3,2,4,1,6,8,7,5]=>[3,2,1,4,8,6,7,5]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]
[4,7,8,1,6,5,2,3]=>[3,2,5,6,1,8,7,4]=>[3,2,1,8,5,6,7,4]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]
[3,7,1,8,6,5,2,4]=>[4,2,5,6,8,1,7,3]=>[4,2,8,1,5,6,7,3]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]
[2,1,7,8,6,5,3,4]=>[4,3,5,6,8,7,1,2]=>[4,8,3,1,5,6,7,2]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]
[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[2,1,4,3,5,6,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[2,1,3,5,4,6,7,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[2,1,3,4,6,5,7,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[2,1,3,4,5,7,6,8]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,1,4,3,6,5,8,7,10,9]=>[9,10,7,8,5,6,3,4,1,2]=>[9,10,7,8,5,6,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]
[4,3,2,1,6,5,8,7,10,9]=>[9,10,7,8,5,6,1,2,3,4]=>[1,2,9,10,7,8,5,6,3,4]=>[.,[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]]]
[6,5,4,3,2,1,8,7,10,9]=>[9,10,7,8,1,2,3,4,5,6]=>[1,2,3,4,9,10,7,8,5,6]=>[.,[.,[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]]]
[4,3,2,1,8,7,6,5,10,9]=>[9,10,5,6,7,8,1,2,3,4]=>[5,6,9,10,1,2,7,8,3,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,[.,.]],[.,.]]]]
[2,1,8,7,6,5,4,3,10,9]=>[9,10,3,4,5,6,7,8,1,2]=>[9,10,3,4,5,6,7,8,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[8,7,6,5,4,3,2,1,10,9]=>[9,10,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,9,10,7,8]=>[.,[.,[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]]]
[10,8,9,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,9,8,10]=>[1,3,2,5,4,7,6,9,8,10]=>[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]
[6,7,8,9,10,1,2,3,4,5]=>[5,4,3,2,1,10,9,8,7,6]=>[5,4,3,2,1,10,9,8,7,6]=>[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]]
[2,1,4,3,6,5,10,9,8,7]=>[7,8,9,10,5,6,3,4,1,2]=>[7,8,5,6,3,4,1,2,9,10]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,[.,.]]]]
[2,1,6,5,4,3,10,9,8,7]=>[7,8,9,10,3,4,5,6,1,2]=>[7,8,3,4,9,10,1,2,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[6,5,4,3,2,1,10,9,8,7]=>[7,8,9,10,1,2,3,4,5,6]=>[1,2,7,8,9,10,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]]]
[2,1,4,3,10,9,8,7,6,5]=>[5,6,7,8,9,10,3,4,1,2]=>[5,6,3,4,1,2,7,8,9,10]=>[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[4,3,2,1,10,9,8,7,6,5]=>[5,6,7,8,9,10,1,2,3,4]=>[5,6,7,8,1,2,3,4,9,10]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,1,2]=>[3,4,1,2,5,6,7,8,9,10]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[9,10,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,10,9]=>[2,1,3,4,5,6,7,8,10,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[3,2,5,1,4,6,7,8]=>[8,7,6,4,1,5,2,3]=>[1,4,2,8,7,6,5,3]=>[.,[[.,.],[[[[[.,.],.],.],.],.]]]
[4,2,5,1,3,6,7,8]=>[8,7,6,3,1,5,2,4]=>[1,3,2,8,7,6,5,4]=>[.,[[.,.],[[[[[.,.],.],.],.],.]]]
[5,2,4,1,3,6,7,8]=>[8,7,6,3,1,4,2,5]=>[3,4,1,8,7,6,5,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[3,2,6,1,4,5,7,8]=>[8,7,5,4,1,6,2,3]=>[1,5,2,8,7,6,4,3]=>[.,[[.,.],[[[[[.,.],.],.],.],.]]]
[5,2,6,1,3,4,7,8]=>[8,7,4,3,1,6,2,5]=>[1,4,3,8,7,6,5,2]=>[.,[[[.,.],[[[[.,.],.],.],.]],.]]
[5,3,6,1,2,4,7,8]=>[8,7,4,2,1,6,3,5]=>[2,4,3,8,7,6,5,1]=>[[.,[[.,.],[[[[.,.],.],.],.]]],.]
[3,2,7,1,4,5,6,8]=>[8,6,5,4,1,7,2,3]=>[1,6,2,8,7,5,4,3]=>[.,[[.,.],[[[[[.,.],.],.],.],.]]]
[5,2,7,1,3,4,6,8]=>[8,6,4,3,1,7,2,5]=>[1,6,4,8,7,5,3,2]=>[.,[[[[.,.],[[[.,.],.],.]],.],.]]
[5,3,7,1,2,4,6,8]=>[8,6,4,2,1,7,3,5]=>[2,6,4,8,7,5,3,1]=>[[.,[[[.,.],[[[.,.],.],.]],.]],.]
[5,4,7,1,2,3,6,8]=>[8,6,3,2,1,7,4,5]=>[3,6,4,8,7,5,2,1]=>[[[.,[[.,.],[[[.,.],.],.]]],.],.]
[6,3,7,1,2,4,5,8]=>[8,5,4,2,1,7,3,6]=>[2,5,4,8,7,6,3,1]=>[[.,[[[.,.],[[[.,.],.],.]],.]],.]
[7,3,6,1,2,4,5,8]=>[8,5,4,2,1,6,3,7]=>[5,6,2,8,7,4,3,1]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]
[5,2,8,1,3,4,6,7]=>[7,6,4,3,1,8,2,5]=>[1,7,4,8,6,5,3,2]=>[.,[[[[.,.],[[[.,.],.],.]],.],.]]
[5,3,8,1,2,4,6,7]=>[7,6,4,2,1,8,3,5]=>[2,7,4,8,6,5,3,1]=>[[.,[[[.,.],[[[.,.],.],.]],.]],.]
[6,2,8,1,3,4,5,7]=>[7,5,4,3,1,8,2,6]=>[1,7,5,8,6,4,3,2]=>[.,[[[[[.,.],[[.,.],.]],.],.],.]]
[7,2,8,1,3,4,5,6]=>[6,5,4,3,1,8,2,7]=>[1,6,5,8,7,4,3,2]=>[.,[[[[[.,.],[[.,.],.]],.],.],.]]
[8,2,4,1,3,5,6,7]=>[7,6,5,3,1,4,2,8]=>[3,7,1,8,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[8,2,5,1,3,4,6,7]=>[7,6,4,3,1,5,2,8]=>[4,7,1,8,6,5,3,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[8,3,6,1,2,4,5,7]=>[7,5,4,2,1,6,3,8]=>[5,7,2,8,6,4,3,1]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]
[8,5,7,1,2,3,4,6]=>[6,4,3,2,1,7,5,8]=>[6,7,4,8,5,3,2,1]=>[[[[[.,[.,.]],[[.,.],.]],.],.],.]
[3,2,5,7,1,4,6,8]=>[8,6,4,1,7,5,2,3]=>[1,6,4,2,8,7,5,3]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]]
[5,2,4,7,1,3,6,8]=>[8,6,3,1,7,4,2,5]=>[3,6,4,1,8,7,5,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[5,2,6,7,1,3,4,8]=>[8,4,3,1,7,6,2,5]=>[1,4,3,2,8,7,6,5]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]]
[5,3,6,7,1,2,4,8]=>[8,4,2,1,7,6,3,5]=>[2,4,3,1,8,7,6,5]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[6,3,4,7,1,2,5,8]=>[8,5,2,1,7,4,3,6]=>[2,5,4,1,8,7,6,3]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[6,2,5,7,1,3,4,8]=>[8,4,3,1,7,5,2,6]=>[4,5,3,1,8,7,6,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]
[6,3,5,7,1,2,4,8]=>[8,4,2,1,7,5,3,6]=>[4,5,2,1,8,7,6,3]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]
[7,3,5,6,1,2,4,8]=>[8,4,2,1,6,5,3,7]=>[4,6,2,1,8,7,5,3]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]
[3,2,5,8,1,4,6,7]=>[7,6,4,1,8,5,2,3]=>[1,7,4,2,8,6,5,3]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]]
[4,2,5,8,1,3,6,7]=>[7,6,3,1,8,5,2,4]=>[1,7,3,2,8,6,5,4]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]]
[5,2,4,8,1,3,6,7]=>[7,6,3,1,8,4,2,5]=>[3,7,4,1,8,6,5,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[4,2,6,8,1,3,5,7]=>[7,5,3,1,8,6,2,4]=>[1,7,5,3,8,6,4,2]=>[.,[[[[.,.],.],[[[.,.],.],.]],.]]
[4,3,6,8,1,2,5,7]=>[7,5,2,1,8,6,3,4]=>[2,7,5,3,8,6,4,1]=>[[.,[[[.,.],.],[[[.,.],.],.]]],.]
[6,2,4,8,1,3,5,7]=>[7,5,3,1,8,4,2,6]=>[3,7,5,1,8,6,4,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[6,2,5,8,1,3,4,7]=>[7,4,3,1,8,5,2,6]=>[4,7,5,1,8,6,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[3,2,7,8,1,4,5,6]=>[6,5,4,1,8,7,2,3]=>[1,6,5,2,8,7,4,3]=>[.,[[[.,.],.],[[[[.,.],.],.],.]]]
[5,3,7,8,1,2,4,6]=>[6,4,2,1,8,7,3,5]=>[2,6,4,3,8,7,5,1]=>[[.,[[[.,.],.],[[[.,.],.],.]]],.]
[5,4,7,8,1,2,3,6]=>[6,3,2,1,8,7,4,5]=>[3,6,4,2,8,7,5,1]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]
[6,2,7,8,1,3,4,5]=>[5,4,3,1,8,7,2,6]=>[1,5,4,3,8,7,6,2]=>[.,[[[[.,.],.],[[[.,.],.],.]],.]]
[6,3,7,8,1,2,4,5]=>[5,4,2,1,8,7,3,6]=>[2,5,4,3,8,7,6,1]=>[[.,[[[.,.],.],[[[.,.],.],.]]],.]
[7,2,4,8,1,3,5,6]=>[6,5,3,1,8,4,2,7]=>[3,6,5,1,8,7,4,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[7,3,4,8,1,2,5,6]=>[6,5,2,1,8,4,3,7]=>[2,6,5,1,8,7,4,3]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[8,2,4,6,1,3,5,7]=>[7,5,3,1,6,4,2,8]=>[5,7,3,1,8,6,4,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]
[8,2,5,6,1,3,4,7]=>[7,4,3,1,6,5,2,8]=>[4,7,3,1,8,6,5,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]
[8,3,5,6,1,2,4,7]=>[7,4,2,1,6,5,3,8]=>[4,7,2,1,8,6,5,3]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]
[8,3,5,7,1,2,4,6]=>[6,4,2,1,7,5,3,8]=>[6,7,4,2,8,5,3,1]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]
[8,2,6,7,1,3,4,5]=>[5,4,3,1,7,6,2,8]=>[5,7,4,1,8,6,3,2]=>[[[.,[.,.]],.],[[[[.,.],.],.],.]]
[8,4,6,7,1,2,3,5]=>[5,3,2,1,7,6,4,8]=>[5,7,3,2,8,6,4,1]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]
[3,6,2,5,1,4,7,8]=>[8,7,4,1,5,2,6,3]=>[4,1,5,2,8,7,6,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]
[4,6,2,5,1,3,7,8]=>[8,7,3,1,5,2,6,4]=>[3,1,5,2,8,7,6,4]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]
[4,6,3,5,1,2,7,8]=>[8,7,2,1,5,3,6,4]=>[2,1,5,3,8,7,6,4]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]
[3,7,2,5,1,4,6,8]=>[8,6,4,1,5,2,7,3]=>[4,1,6,2,8,7,5,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]
[5,7,2,4,1,3,6,8]=>[8,6,3,1,4,2,7,5]=>[3,1,6,4,8,7,5,2]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]
[3,7,2,6,1,4,5,8]=>[8,5,4,1,6,2,7,3]=>[5,1,6,2,8,7,4,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]
[4,7,3,6,1,2,5,8]=>[8,5,2,1,6,3,7,4]=>[5,2,6,3,8,7,4,1]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]
[6,7,3,5,1,2,4,8]=>[8,4,2,1,5,3,7,6]=>[4,2,5,3,8,7,6,1]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]
[3,8,2,5,1,4,6,7]=>[7,6,4,1,5,2,8,3]=>[4,1,7,2,8,6,5,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]
[5,8,2,4,1,3,6,7]=>[7,6,3,1,4,2,8,5]=>[3,1,7,4,8,6,5,2]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]
[3,8,2,6,1,4,5,7]=>[7,5,4,1,6,2,8,3]=>[5,1,7,2,8,6,4,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]
[6,8,3,4,1,2,5,7]=>[7,5,2,1,4,3,8,6]=>[2,1,7,5,8,6,4,3]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]
[6,8,4,5,1,2,3,7]=>[7,3,2,1,5,4,8,6]=>[3,2,7,5,8,6,4,1]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]
[3,8,2,7,1,4,5,6]=>[6,5,4,1,7,2,8,3]=>[6,1,7,2,8,5,4,3]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]
[4,8,2,7,1,3,5,6]=>[6,5,3,1,7,2,8,4]=>[6,1,7,3,8,5,4,2]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]
[4,8,3,7,1,2,5,6]=>[6,5,2,1,7,3,8,4]=>[6,2,7,3,8,5,4,1]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]
[5,8,2,7,1,3,4,6]=>[6,4,3,1,7,2,8,5]=>[6,1,7,4,8,5,3,2]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]
[5,8,3,7,1,2,4,6]=>[6,4,2,1,7,3,8,5]=>[6,2,7,4,8,5,3,1]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]
[5,8,4,7,1,2,3,6]=>[6,3,2,1,7,4,8,5]=>[6,3,7,4,8,5,2,1]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[6,8,4,7,1,2,3,5]=>[5,3,2,1,7,4,8,6]=>[5,3,7,4,8,6,2,1]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[6,8,5,7,1,2,3,4]=>[4,3,2,1,7,5,8,6]=>[4,3,7,5,8,6,2,1]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[7,8,2,5,1,3,4,6]=>[6,4,3,1,5,2,8,7]=>[4,1,6,5,8,7,3,2]=>[[.,.],[[[[.,.],[[.,.],.]],.],.]]
[7,8,3,5,1,2,4,6]=>[6,4,2,1,5,3,8,7]=>[4,2,6,5,8,7,3,1]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]
[7,8,4,6,1,2,3,5]=>[5,3,2,1,6,4,8,7]=>[5,3,6,4,8,7,2,1]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[4,3,2,6,1,5,7,8]=>[8,7,5,1,6,2,3,4]=>[1,2,5,3,8,7,6,4]=>[.,[.,[[.,.],[[[[.,.],.],.],.]]]]
[5,3,2,6,1,4,7,8]=>[8,7,4,1,6,2,3,5]=>[1,2,4,3,8,7,6,5]=>[.,[.,[[.,.],[[[[.,.],.],.],.]]]]
[6,3,2,5,1,4,7,8]=>[8,7,4,1,5,2,3,6]=>[1,4,5,2,8,7,6,3]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]
[6,5,2,4,1,3,7,8]=>[8,7,3,1,4,2,5,6]=>[3,4,5,1,8,7,6,2]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]
[4,3,2,7,1,5,6,8]=>[8,6,5,1,7,2,3,4]=>[1,2,6,3,8,7,5,4]=>[.,[.,[[.,.],[[[[.,.],.],.],.]]]]
[5,3,2,7,1,4,6,8]=>[8,6,4,1,7,2,3,5]=>[1,2,6,4,8,7,5,3]=>[.,[.,[[[.,.],[[[.,.],.],.]],.]]]
[5,4,2,7,1,3,6,8]=>[8,6,3,1,7,2,4,5]=>[1,3,6,4,8,7,5,2]=>[.,[[.,[[.,.],[[[.,.],.],.]]],.]]
[6,3,2,7,1,4,5,8]=>[8,5,4,1,7,2,3,6]=>[1,2,5,4,8,7,6,3]=>[.,[.,[[[.,.],[[[.,.],.],.]],.]]]
[6,4,2,7,1,3,5,8]=>[8,5,3,1,7,2,4,6]=>[1,3,5,4,8,7,6,2]=>[.,[[.,[[.,.],[[[.,.],.],.]]],.]]
[6,5,3,7,1,2,4,8]=>[8,4,2,1,7,3,5,6]=>[2,4,5,3,8,7,6,1]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[7,3,2,5,1,4,6,8]=>[8,6,4,1,5,2,3,7]=>[1,4,6,2,8,7,5,3]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]
[7,5,2,4,1,3,6,8]=>[8,6,3,1,4,2,5,7]=>[3,4,6,1,8,7,5,2]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]
[7,5,2,6,1,3,4,8]=>[8,4,3,1,6,2,5,7]=>[1,4,6,3,8,7,5,2]=>[.,[[[.,[.,.]],[[[.,.],.],.]],.]]
[7,5,3,6,1,2,4,8]=>[8,4,2,1,6,3,5,7]=>[2,4,6,3,8,7,5,1]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[4,3,2,8,1,5,6,7]=>[7,6,5,1,8,2,3,4]=>[1,2,7,3,8,6,5,4]=>[.,[.,[[.,.],[[[[.,.],.],.],.]]]]
[5,3,2,8,1,4,6,7]=>[7,6,4,1,8,2,3,5]=>[1,2,7,4,8,6,5,3]=>[.,[.,[[[.,.],[[[.,.],.],.]],.]]]
[6,3,2,8,1,4,5,7]=>[7,5,4,1,8,2,3,6]=>[1,2,7,5,8,6,4,3]=>[.,[.,[[[[.,.],[[.,.],.]],.],.]]]
[6,5,2,8,1,3,4,7]=>[7,4,3,1,8,2,5,6]=>[1,4,7,5,8,6,3,2]=>[.,[[[.,[[.,.],[[.,.],.]]],.],.]]
[6,5,3,8,1,2,4,7]=>[7,4,2,1,8,3,5,6]=>[2,4,7,5,8,6,3,1]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]
[6,5,4,8,1,2,3,7]=>[7,3,2,1,8,4,5,6]=>[3,4,7,5,8,6,2,1]=>[[[.,[.,[[.,.],[[.,.],.]]]],.],.]
[7,4,3,8,1,2,5,6]=>[6,5,2,1,8,3,4,7]=>[2,3,6,5,8,7,4,1]=>[[.,[.,[[[.,.],[[.,.],.]],.]]],.]
[7,5,2,8,1,3,4,6]=>[6,4,3,1,8,2,5,7]=>[1,4,6,5,8,7,3,2]=>[.,[[[.,[[.,.],[[.,.],.]]],.],.]]
[7,5,3,8,1,2,4,6]=>[6,4,2,1,8,3,5,7]=>[2,4,6,5,8,7,3,1]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]
[7,6,3,8,1,2,4,5]=>[5,4,2,1,8,3,6,7]=>[2,5,6,4,8,7,3,1]=>[[.,[[[.,[.,.]],[[.,.],.]],.]],.]
[8,5,2,4,1,3,6,7]=>[7,6,3,1,4,2,5,8]=>[3,4,7,1,8,6,5,2]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]
[8,3,2,6,1,4,5,7]=>[7,5,4,1,6,2,3,8]=>[1,5,7,2,8,6,4,3]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]
[8,4,2,6,1,3,5,7]=>[7,5,3,1,6,2,4,8]=>[1,5,7,3,8,6,4,2]=>[.,[[[.,[.,.]],[[[.,.],.],.]],.]]
[8,6,2,4,1,3,5,7]=>[7,5,3,1,4,2,6,8]=>[3,5,7,1,8,6,4,2]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]
[8,3,2,7,1,4,5,6]=>[6,5,4,1,7,2,3,8]=>[1,6,7,2,8,5,4,3]=>[.,[[.,[.,.]],[[[[.,.],.],.],.]]]
[8,4,2,7,1,3,5,6]=>[6,5,3,1,7,2,4,8]=>[1,6,7,3,8,5,4,2]=>[.,[[[.,[.,.]],[[[.,.],.],.]],.]]
[8,4,3,7,1,2,5,6]=>[6,5,2,1,7,3,4,8]=>[2,6,7,3,8,5,4,1]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[8,5,2,7,1,3,4,6]=>[6,4,3,1,7,2,5,8]=>[1,6,7,4,8,5,3,2]=>[.,[[[[.,[.,.]],[[.,.],.]],.],.]]
[8,5,3,7,1,2,4,6]=>[6,4,2,1,7,3,5,8]=>[2,6,7,4,8,5,3,1]=>[[.,[[[.,[.,.]],[[.,.],.]],.]],.]
[8,6,4,7,1,2,3,5]=>[5,3,2,1,7,4,6,8]=>[3,5,7,4,8,6,2,1]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[8,7,2,4,1,3,5,6]=>[6,5,3,1,4,2,7,8]=>[3,6,7,1,8,5,4,2]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]
[8,7,2,5,1,3,4,6]=>[6,4,3,1,5,2,7,8]=>[4,6,7,1,8,5,3,2]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]
[8,7,3,5,1,2,4,6]=>[6,4,2,1,5,3,7,8]=>[4,6,7,2,8,5,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[8,7,2,6,1,3,4,5]=>[5,4,3,1,6,2,7,8]=>[5,6,7,1,8,4,3,2]=>[[.,[.,[.,.]]],[[[[.,.],.],.],.]]
[8,7,3,6,1,2,4,5]=>[5,4,2,1,6,3,7,8]=>[5,6,7,2,8,4,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[8,7,4,6,1,2,3,5]=>[5,3,2,1,6,4,7,8]=>[5,6,7,3,8,4,2,1]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[3,6,2,5,8,1,4,7]=>[7,4,1,8,5,2,6,3]=>[4,1,7,5,2,8,6,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[5,6,2,4,8,1,3,7]=>[7,3,1,8,4,2,6,5]=>[3,1,7,4,2,8,6,5]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[4,7,2,5,8,1,3,6]=>[6,3,1,8,5,2,7,4]=>[3,1,6,5,2,8,7,4]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[4,7,3,5,8,1,2,6]=>[6,2,1,8,5,3,7,4]=>[2,1,6,5,3,8,7,4]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[3,7,2,6,8,1,4,5]=>[5,4,1,8,6,2,7,3]=>[5,1,6,4,2,8,7,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[4,7,2,6,8,1,3,5]=>[5,3,1,8,6,2,7,4]=>[5,1,6,3,2,8,7,4]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[4,7,3,6,8,1,2,5]=>[5,2,1,8,6,3,7,4]=>[5,2,6,3,1,8,7,4]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[5,7,3,6,8,1,2,4]=>[4,2,1,8,6,3,7,5]=>[4,2,6,3,1,8,7,5]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[5,7,4,6,8,1,2,3]=>[3,2,1,8,6,4,7,5]=>[3,2,6,4,1,8,7,5]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[6,7,3,4,8,1,2,5]=>[5,2,1,8,4,3,7,6]=>[2,1,5,4,3,8,7,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[6,7,2,5,8,1,3,4]=>[4,3,1,8,5,2,7,6]=>[4,1,5,3,2,8,7,6]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[3,8,2,5,7,1,4,6]=>[6,4,1,7,5,2,8,3]=>[6,1,7,4,2,8,5,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[4,8,2,5,7,1,3,6]=>[6,3,1,7,5,2,8,4]=>[6,1,7,3,2,8,5,4]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[5,8,2,4,7,1,3,6]=>[6,3,1,7,4,2,8,5]=>[6,3,7,4,1,8,5,2]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[5,8,3,4,7,1,2,6]=>[6,2,1,7,4,3,8,5]=>[6,2,7,4,1,8,5,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[3,8,2,6,7,1,4,5]=>[5,4,1,7,6,2,8,3]=>[5,1,7,4,2,8,6,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[5,8,2,6,7,1,3,4]=>[4,3,1,7,6,2,8,5]=>[4,1,7,3,2,8,6,5]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[6,8,3,4,7,1,2,5]=>[5,2,1,7,4,3,8,6]=>[5,2,7,4,1,8,6,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[6,8,2,5,7,1,3,4]=>[4,3,1,7,5,2,8,6]=>[4,3,7,5,1,8,6,2]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[6,8,4,5,7,1,2,3]=>[3,2,1,7,5,4,8,6]=>[3,2,7,5,1,8,6,4]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[7,8,2,4,6,1,3,5]=>[5,3,1,6,4,2,8,7]=>[5,3,6,4,1,8,7,2]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[7,8,3,5,6,1,2,4]=>[4,2,1,6,5,3,8,7]=>[4,2,6,5,1,8,7,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[4,3,2,6,8,1,5,7]=>[7,5,1,8,6,2,3,4]=>[1,2,7,5,3,8,6,4]=>[.,[.,[[[.,.],.],[[[.,.],.],.]]]]
[5,3,2,6,8,1,4,7]=>[7,4,1,8,6,2,3,5]=>[1,2,7,4,3,8,6,5]=>[.,[.,[[[.,.],.],[[[.,.],.],.]]]]
[5,4,2,6,8,1,3,7]=>[7,3,1,8,6,2,4,5]=>[1,3,7,4,2,8,6,5]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[6,3,2,5,8,1,4,7]=>[7,4,1,8,5,2,3,6]=>[1,4,7,5,2,8,6,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[6,4,3,5,8,1,2,7]=>[7,2,1,8,5,3,4,6]=>[2,3,7,5,1,8,6,4]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]
[6,5,2,4,8,1,3,7]=>[7,3,1,8,4,2,5,6]=>[3,4,7,5,1,8,6,2]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]
[6,5,3,4,8,1,2,7]=>[7,2,1,8,4,3,5,6]=>[2,4,7,5,1,8,6,3]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]
[4,3,2,7,8,1,5,6]=>[6,5,1,8,7,2,3,4]=>[1,2,6,5,3,8,7,4]=>[.,[.,[[[.,.],.],[[[.,.],.],.]]]]
[5,4,2,7,8,1,3,6]=>[6,3,1,8,7,2,4,5]=>[1,3,6,4,2,8,7,5]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[5,4,3,7,8,1,2,6]=>[6,2,1,8,7,3,4,5]=>[2,3,6,4,1,8,7,5]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]
[6,4,3,7,8,1,2,5]=>[5,2,1,8,7,3,4,6]=>[2,3,5,4,1,8,7,6]=>[[.,[.,[[.,.],.]]],[[[.,.],.],.]]
[6,5,2,7,8,1,3,4]=>[4,3,1,8,7,2,5,6]=>[1,4,5,3,2,8,7,6]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[6,5,3,7,8,1,2,4]=>[4,2,1,8,7,3,5,6]=>[2,4,5,3,1,8,7,6]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]
[7,3,2,5,8,1,4,6]=>[6,4,1,8,5,2,3,7]=>[1,4,6,5,2,8,7,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[7,4,2,6,8,1,3,5]=>[5,3,1,8,6,2,4,7]=>[1,5,6,3,2,8,7,4]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[7,5,2,6,8,1,3,4]=>[4,3,1,8,6,2,5,7]=>[1,4,6,3,2,8,7,5]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[7,6,2,4,8,1,3,5]=>[5,3,1,8,4,2,6,7]=>[3,5,6,4,1,8,7,2]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]
[7,6,3,5,8,1,2,4]=>[4,2,1,8,5,3,6,7]=>[4,5,6,2,1,8,7,3]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[8,3,2,5,7,1,4,6]=>[6,4,1,7,5,2,3,8]=>[1,6,7,4,2,8,5,3]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[8,4,2,5,7,1,3,6]=>[6,3,1,7,5,2,4,8]=>[1,6,7,3,2,8,5,4]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[8,5,2,6,7,1,3,4]=>[4,3,1,7,6,2,5,8]=>[1,4,7,3,2,8,6,5]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[8,6,3,5,7,1,2,4]=>[4,2,1,7,5,3,6,8]=>[4,5,7,2,1,8,6,3]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[8,7,2,4,6,1,3,5]=>[5,3,1,6,4,2,7,8]=>[5,6,7,3,1,8,4,2]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[8,7,3,4,6,1,2,5]=>[5,2,1,6,4,3,7,8]=>[5,6,7,2,1,8,4,3]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[8,7,2,5,6,1,3,4]=>[4,3,1,6,5,2,7,8]=>[4,6,7,3,1,8,5,2]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[8,7,3,5,6,1,2,4]=>[4,2,1,6,5,3,7,8]=>[4,6,7,2,1,8,5,3]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[4,3,7,2,6,1,5,8]=>[8,5,1,6,2,7,3,4]=>[1,5,2,6,3,8,7,4]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]
[5,4,7,2,6,1,3,8]=>[8,3,1,6,2,7,4,5]=>[1,3,2,6,4,8,7,5]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]
[6,3,7,2,5,1,4,8]=>[8,4,1,5,2,7,3,6]=>[1,4,2,5,3,8,7,6]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]
[6,4,7,2,5,1,3,8]=>[8,3,1,5,2,7,4,6]=>[1,3,2,5,4,8,7,6]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]
[7,3,6,2,5,1,4,8]=>[8,4,1,5,2,6,3,7]=>[4,5,1,6,2,8,7,3]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[4,3,8,2,6,1,5,7]=>[7,5,1,6,2,8,3,4]=>[1,5,2,7,3,8,6,4]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]
[5,3,8,2,6,1,4,7]=>[7,4,1,6,2,8,3,5]=>[1,4,2,7,3,8,6,5]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]
[5,4,8,2,6,1,3,7]=>[7,3,1,6,2,8,4,5]=>[1,3,2,7,4,8,6,5]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]
[6,4,8,2,5,1,3,7]=>[7,3,1,5,2,8,4,6]=>[1,3,2,7,5,8,6,4]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]]
[6,4,8,3,5,1,2,7]=>[7,2,1,5,3,8,4,6]=>[2,3,1,7,5,8,6,4]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]
[4,3,8,2,7,1,5,6]=>[6,5,1,7,2,8,3,4]=>[1,6,2,7,3,8,5,4]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]
[6,4,8,2,7,1,3,5]=>[5,3,1,7,2,8,4,6]=>[1,5,3,7,4,8,6,2]=>[.,[[[.,.],[[.,.],[[.,.],.]]],.]]
[6,5,8,4,7,1,2,3]=>[3,2,1,7,4,8,5,6]=>[3,4,2,7,5,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[7,3,8,2,5,1,4,6]=>[6,4,1,5,2,8,3,7]=>[1,4,2,6,5,8,7,3]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]]
[7,4,8,2,5,1,3,6]=>[6,3,1,5,2,8,4,7]=>[1,3,2,6,5,8,7,4]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]]
[7,4,8,3,5,1,2,6]=>[6,2,1,5,3,8,4,7]=>[2,3,1,6,5,8,7,4]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]
[7,5,8,2,4,1,3,6]=>[6,3,1,4,2,8,5,7]=>[3,4,1,6,5,8,7,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]
[7,5,8,3,4,1,2,6]=>[6,2,1,4,3,8,5,7]=>[2,4,1,6,5,8,7,3]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]
[7,3,8,2,6,1,4,5]=>[5,4,1,6,2,8,3,7]=>[1,5,2,6,4,8,7,3]=>[.,[[.,.],[[[.,.],[[.,.],.]],.]]]
[7,5,8,2,6,1,3,4]=>[4,3,1,6,2,8,5,7]=>[1,4,3,6,5,8,7,2]=>[.,[[[.,.],[[.,.],[[.,.],.]]],.]]
[7,5,8,3,6,1,2,4]=>[4,2,1,6,3,8,5,7]=>[2,4,3,6,5,8,7,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[7,5,8,4,6,1,2,3]=>[3,2,1,6,4,8,5,7]=>[3,4,2,6,5,8,7,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[8,3,6,2,5,1,4,7]=>[7,4,1,5,2,6,3,8]=>[4,5,1,7,2,8,6,3]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[8,4,6,2,5,1,3,7]=>[7,3,1,5,2,6,4,8]=>[3,5,1,7,2,8,6,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[8,3,7,2,6,1,4,5]=>[5,4,1,6,2,7,3,8]=>[5,6,1,7,2,8,4,3]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[8,4,7,2,6,1,3,5]=>[5,3,1,6,2,7,4,8]=>[5,6,1,7,3,8,4,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]
[8,4,7,3,6,1,2,5]=>[5,2,1,6,3,7,4,8]=>[5,6,2,7,3,8,4,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[8,5,7,2,6,1,3,4]=>[4,3,1,6,2,7,5,8]=>[4,6,1,7,3,8,5,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]
[8,5,7,4,6,1,2,3]=>[3,2,1,6,4,7,5,8]=>[3,6,2,7,4,8,5,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[8,6,7,3,5,1,2,4]=>[4,2,1,5,3,7,6,8]=>[4,5,2,7,3,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,4,3,2,7,1,6,8]=>[8,6,1,7,2,3,4,5]=>[1,2,3,6,4,8,7,5]=>[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]
[6,4,3,2,7,1,5,8]=>[8,5,1,7,2,3,4,6]=>[1,2,3,5,4,8,7,6]=>[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]
[6,5,3,2,7,1,4,8]=>[8,4,1,7,2,3,5,6]=>[1,2,4,5,3,8,7,6]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]
[6,5,4,2,7,1,3,8]=>[8,3,1,7,2,4,5,6]=>[1,3,4,5,2,8,7,6]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[7,4,3,2,6,1,5,8]=>[8,5,1,6,2,3,4,7]=>[1,2,5,6,3,8,7,4]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]
[7,5,3,2,6,1,4,8]=>[8,4,1,6,2,3,5,7]=>[1,2,4,6,3,8,7,5]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]
[5,4,3,2,8,1,6,7]=>[7,6,1,8,2,3,4,5]=>[1,2,3,7,4,8,6,5]=>[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]
[6,4,3,2,8,1,5,7]=>[7,5,1,8,2,3,4,6]=>[1,2,3,7,5,8,6,4]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]
[6,5,3,2,8,1,4,7]=>[7,4,1,8,2,3,5,6]=>[1,2,4,7,5,8,6,3]=>[.,[.,[[.,[[.,.],[[.,.],.]]],.]]]
[6,5,4,3,8,1,2,7]=>[7,2,1,8,3,4,5,6]=>[2,3,4,7,5,8,6,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[7,4,3,2,8,1,5,6]=>[6,5,1,8,2,3,4,7]=>[1,2,3,6,5,8,7,4]=>[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]
[7,5,3,2,8,1,4,6]=>[6,4,1,8,2,3,5,7]=>[1,2,4,6,5,8,7,3]=>[.,[.,[[.,[[.,.],[[.,.],.]]],.]]]
[7,6,4,3,8,1,2,5]=>[5,2,1,8,3,4,6,7]=>[2,3,5,6,4,8,7,1]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[7,6,5,2,8,1,3,4]=>[4,3,1,8,2,5,6,7]=>[1,4,5,6,3,8,7,2]=>[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]
[7,6,5,3,8,1,2,4]=>[4,2,1,8,3,5,6,7]=>[2,4,5,6,3,8,7,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[8,5,3,2,6,1,4,7]=>[7,4,1,6,2,3,5,8]=>[1,2,4,7,3,8,6,5]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]
[8,4,3,2,7,1,5,6]=>[6,5,1,7,2,3,4,8]=>[1,2,6,7,3,8,5,4]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]
[8,5,3,2,7,1,4,6]=>[6,4,1,7,2,3,5,8]=>[1,2,6,7,4,8,5,3]=>[.,[.,[[[.,[.,.]],[[.,.],.]],.]]]
[8,6,4,2,7,1,3,5]=>[5,3,1,7,2,4,6,8]=>[1,3,5,7,4,8,6,2]=>[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]
[8,6,4,3,7,1,2,5]=>[5,2,1,7,3,4,6,8]=>[2,3,5,7,4,8,6,1]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[8,6,5,3,7,1,2,4]=>[4,2,1,7,3,5,6,8]=>[2,4,5,7,3,8,6,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[8,7,3,2,6,1,4,5]=>[5,4,1,6,2,3,7,8]=>[1,5,6,7,2,8,4,3]=>[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]
[8,7,5,2,6,1,3,4]=>[4,3,1,6,2,5,7,8]=>[1,4,6,7,3,8,5,2]=>[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]
[8,7,5,3,6,1,2,4]=>[4,2,1,6,3,5,7,8]=>[2,4,6,7,3,8,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[8,7,6,2,4,1,3,5]=>[5,3,1,4,2,6,7,8]=>[3,5,6,7,1,8,4,2]=>[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]
[8,7,6,3,5,1,2,4]=>[4,2,1,5,3,6,7,8]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4]=>[5,1,6,2,7,3,8,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,8,3,7,2,6,1,4]=>[4,1,6,2,7,3,8,5]=>[4,1,6,2,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,8,4,7,2,6,1,3]=>[3,1,6,2,7,4,8,5]=>[3,1,6,2,7,4,8,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,8,4,7,3,6,1,2]=>[2,1,6,3,7,4,8,5]=>[2,1,6,3,7,4,8,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[6,8,3,7,2,5,1,4]=>[4,1,5,2,7,3,8,6]=>[4,1,5,2,7,3,8,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[6,8,4,7,2,5,1,3]=>[3,1,5,2,7,4,8,6]=>[3,1,5,2,7,4,8,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[6,8,4,7,3,5,1,2]=>[2,1,5,3,7,4,8,6]=>[2,1,5,3,7,4,8,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[6,8,5,7,2,4,1,3]=>[3,1,4,2,7,5,8,6]=>[3,1,4,2,7,5,8,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[6,8,5,7,3,4,1,2]=>[2,1,4,3,7,5,8,6]=>[2,1,4,3,7,5,8,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[7,8,3,6,2,5,1,4]=>[4,1,5,2,6,3,8,7]=>[4,1,5,2,6,3,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[7,8,4,6,2,5,1,3]=>[3,1,5,2,6,4,8,7]=>[3,1,5,2,6,4,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[7,8,4,6,3,5,1,2]=>[2,1,5,3,6,4,8,7]=>[2,1,5,3,6,4,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[7,8,5,6,2,4,1,3]=>[3,1,4,2,6,5,8,7]=>[3,1,4,2,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,4,3,8,2,7,1,6]=>[6,1,7,2,8,3,4,5]=>[1,2,6,3,7,4,8,5]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[6,4,3,8,2,7,1,5]=>[5,1,7,2,8,3,4,6]=>[1,2,5,3,7,4,8,6]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[6,5,3,8,2,7,1,4]=>[4,1,7,2,8,3,5,6]=>[1,2,4,3,7,5,8,6]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[6,5,4,8,2,7,1,3]=>[3,1,7,2,8,4,5,6]=>[1,3,4,2,7,5,8,6]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[6,5,4,8,3,7,1,2]=>[2,1,7,3,8,4,5,6]=>[2,3,4,1,7,5,8,6]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[7,4,3,8,2,6,1,5]=>[5,1,6,2,8,3,4,7]=>[1,2,5,3,6,4,8,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]=>[1,2,4,3,6,5,8,7]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[7,5,4,8,2,6,1,3]=>[3,1,6,2,8,4,5,7]=>[1,3,4,2,6,5,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[7,5,4,8,3,6,1,2]=>[2,1,6,3,8,4,5,7]=>[2,3,4,1,6,5,8,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[7,6,3,8,2,5,1,4]=>[4,1,5,2,8,3,6,7]=>[1,4,5,2,6,3,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[7,6,4,8,2,5,1,3]=>[3,1,5,2,8,4,6,7]=>[1,3,5,2,6,4,8,7]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[7,6,4,8,3,5,1,2]=>[2,1,5,3,8,4,6,7]=>[2,3,5,1,6,4,8,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[7,6,5,8,2,4,1,3]=>[3,1,4,2,8,5,6,7]=>[3,4,5,1,6,2,8,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[8,5,3,7,2,6,1,4]=>[4,1,6,2,7,3,5,8]=>[1,4,6,2,7,3,8,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[8,5,4,7,2,6,1,3]=>[3,1,6,2,7,4,5,8]=>[1,3,6,2,7,4,8,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[8,6,3,7,2,5,1,4]=>[4,1,5,2,7,3,6,8]=>[1,4,5,2,7,3,8,6]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[8,6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6,8]=>[1,3,5,2,7,4,8,6]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[8,7,3,6,2,5,1,4]=>[4,1,5,2,6,3,7,8]=>[4,5,6,1,7,2,8,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[8,7,5,6,2,4,1,3]=>[3,1,4,2,6,5,7,8]=>[3,4,6,1,7,2,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[6,5,4,3,2,8,1,7]=>[7,1,8,2,3,4,5,6]=>[1,2,3,4,7,5,8,6]=>[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]
[7,6,4,3,2,8,1,5]=>[5,1,8,2,3,4,6,7]=>[1,2,3,5,6,4,8,7]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[7,6,5,3,2,8,1,4]=>[4,1,8,2,3,5,6,7]=>[1,2,4,5,6,3,8,7]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[7,6,5,4,2,8,1,3]=>[3,1,8,2,4,5,6,7]=>[1,3,4,5,6,2,8,7]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[8,5,4,3,2,7,1,6]=>[6,1,7,2,3,4,5,8]=>[1,2,3,6,7,4,8,5]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[8,6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6,8]=>[1,2,3,5,7,4,8,6]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[8,6,5,3,2,7,1,4]=>[4,1,7,2,3,5,6,8]=>[1,2,4,5,7,3,8,6]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[8,7,4,3,2,6,1,5]=>[5,1,6,2,3,4,7,8]=>[1,2,5,6,7,3,8,4]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[8,7,5,4,2,6,1,3]=>[3,1,6,2,4,5,7,8]=>[1,3,4,6,7,2,8,5]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[8,7,6,3,2,5,1,4]=>[4,1,5,2,3,6,7,8]=>[1,4,5,6,7,2,8,3]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[8,7,6,4,2,5,1,3]=>[3,1,5,2,4,6,7,8]=>[1,3,5,6,7,2,8,4]=>[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]
[8,7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7,8]=>[3,4,5,6,7,1,8,2]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[8,1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1,8]=>[6,7,5,4,3,2,8,1]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.]
[8,1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1,8]=>[5,7,6,4,3,8,2,1]=>[[[[[.,[[.,.],.]],.],[.,.]],.],.]
[8,1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1,8]=>[6,7,5,4,3,8,2,1]=>[[[[[[.,[.,.]],.],.],[.,.]],.],.]
[5,1,2,3,8,7,4,6]=>[6,4,7,8,3,2,1,5]=>[6,7,4,3,2,5,8,1]=>[[[[[.,[.,.]],.],.],[.,[.,.]]],.]
[8,1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1,8]=>[5,7,4,3,2,1,8,6]=>[[[[[.,[.,.]],.],.],.],[[.,.],.]]
[8,1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1,8]=>[4,7,6,5,8,3,2,1]=>[[[[.,[[[.,.],.],[.,.]]],.],.],.]
[8,1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1,8]=>[5,7,6,4,8,3,2,1]=>[[[[[.,[[.,.],.]],[.,.]],.],.],.]
[8,1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1,8]=>[6,7,4,3,8,2,5,1]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]
[8,1,2,6,3,7,4,5]=>[5,4,7,3,6,2,1,8]=>[5,7,4,3,8,2,6,1]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]
[6,1,2,5,3,7,8,4]=>[4,8,7,3,5,2,1,6]=>[4,8,5,3,7,2,1,6]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]]
[4,1,2,7,6,3,8,5]=>[5,8,3,6,7,2,1,4]=>[5,8,3,2,6,7,1,4]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]
[8,1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1,8]=>[4,7,6,3,2,8,5,1]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]
[4,1,2,8,6,7,3,5]=>[5,3,7,6,8,2,1,4]=>[5,7,3,2,6,1,8,4]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[3,1,7,2,6,4,8,5]=>[5,8,4,6,2,7,1,3]=>[5,8,4,6,2,7,1,3]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[3,1,5,2,8,7,4,6]=>[6,4,7,8,2,5,1,3]=>[6,7,4,5,2,3,8,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[3,1,8,2,6,7,4,5]=>[5,4,7,6,2,8,1,3]=>[5,7,4,6,2,1,8,3]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[8,1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1,8]=>[3,7,6,8,5,4,2,1]=>[[[.,[[[[.,.],[.,.]],.],.]],.],.]
[7,1,4,2,3,5,8,6]=>[6,8,5,3,2,4,1,7]=>[3,6,5,8,4,2,1,7]=>[[[.,[[[.,.],[.,.]],.]],.],[.,.]]
[8,1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1,8]=>[6,7,5,8,3,2,4,1]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]
[8,1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1,8]=>[4,7,6,8,5,3,2,1]=>[[[[.,[[[.,.],[.,.]],.]],.],.],.]
[8,1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1,8]=>[6,7,5,8,4,3,2,1]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.]
[6,1,5,2,3,8,4,7]=>[7,4,8,3,2,5,1,6]=>[4,7,5,8,3,2,6,1]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]
[8,1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1,8]=>[6,7,4,8,3,2,5,1]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]
[6,1,5,2,3,7,8,4]=>[4,8,7,3,2,5,1,6]=>[4,8,5,7,3,2,1,6]=>[[[[.,[[.,.],[.,.]]],.],.],[.,.]]
[5,1,4,2,8,3,6,7]=>[7,6,3,8,2,4,1,5]=>[3,7,6,8,4,5,2,1]=>[[[.,[[[.,.],[.,.]],[.,.]]],.],.]
[5,1,4,2,7,3,8,6]=>[6,8,3,7,2,4,1,5]=>[3,6,4,8,2,7,1,5]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[8,1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1,8]=>[5,7,6,8,3,4,2,1]=>[[[[.,[[.,.],[.,.]]],[.,.]],.],.]
[8,1,4,2,7,3,5,6]=>[6,5,3,7,2,4,1,8]=>[6,7,5,8,3,4,2,1]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]
[7,1,4,2,6,3,8,5]=>[5,8,3,6,2,4,1,7]=>[5,6,3,8,2,7,1,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[8,1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1,8]=>[6,7,4,8,3,5,2,1]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]
[7,1,5,2,6,3,8,4]=>[4,8,3,6,2,5,1,7]=>[4,6,3,8,2,7,1,5]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[5,1,4,2,6,8,3,7]=>[7,3,8,6,2,4,1,5]=>[3,7,4,8,2,1,6,5]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]
[5,1,4,2,8,7,3,6]=>[6,3,7,8,2,4,1,5]=>[6,7,3,8,2,4,5,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[8,1,4,2,6,7,3,5]=>[5,3,7,6,2,4,1,8]=>[5,7,3,8,2,1,6,4]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[3,1,6,5,2,8,4,7]=>[7,4,8,2,5,6,1,3]=>[7,8,4,5,6,2,3,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[3,1,8,5,2,7,4,6]=>[6,4,7,2,5,8,1,3]=>[6,7,4,5,8,2,3,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[7,1,4,6,2,3,8,5]=>[5,8,3,2,6,4,1,7]=>[5,6,3,2,8,7,1,4]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]
[8,1,4,6,2,7,3,5]=>[5,3,7,2,6,4,1,8]=>[5,7,3,2,8,1,6,4]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[8,1,6,5,2,7,3,4]=>[4,3,7,2,5,6,1,8]=>[4,5,3,7,8,2,6,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[6,1,4,5,2,7,8,3]=>[3,8,7,2,5,4,1,6]=>[3,8,7,5,6,2,1,4]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]
[3,1,4,8,6,2,5,7]=>[7,5,2,6,8,4,1,3]=>[5,7,2,1,6,8,4,3]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]
[3,1,4,8,7,2,5,6]=>[6,5,2,7,8,4,1,3]=>[6,7,2,1,5,8,4,3]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]
[3,1,8,7,6,2,4,5]=>[5,4,2,6,7,8,1,3]=>[5,6,2,4,7,8,3,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[3,1,7,5,6,2,8,4]=>[4,8,2,6,5,7,1,3]=>[4,8,2,6,5,7,1,3]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[8,1,4,5,7,2,3,6]=>[6,3,2,7,5,4,1,8]=>[6,7,3,2,1,8,5,4]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[8,1,4,7,6,2,3,5]=>[5,3,2,6,7,4,1,8]=>[5,6,3,2,7,8,4,1]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]
[8,1,7,5,6,2,3,4]=>[4,3,2,6,5,7,1,8]=>[4,6,3,7,2,8,5,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[7,1,4,5,6,2,8,3]=>[3,8,2,6,5,4,1,7]=>[3,8,6,5,2,7,1,4]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]
[3,1,4,5,8,7,2,6]=>[6,2,7,8,5,4,1,3]=>[6,7,5,2,1,4,8,3]=>[[[[.,[.,.]],.],.],[[.,[.,.]],.]]
[3,1,8,5,6,7,2,4]=>[4,2,7,6,5,8,1,3]=>[4,7,2,6,5,1,8,3]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[8,1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1,8]=>[3,7,6,5,2,1,8,4]=>[[[.,[[[.,.],.],.]],.],[[.,.],.]]
[2,5,1,3,8,7,4,6]=>[6,4,7,8,3,1,5,2]=>[6,4,7,5,1,3,8,2]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[2,4,1,8,3,7,5,6]=>[6,5,7,3,8,1,4,2]=>[6,3,7,1,5,4,8,2]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[2,7,1,5,3,4,8,6]=>[6,8,4,3,5,1,7,2]=>[6,4,8,5,7,3,1,2]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]
[2,7,1,6,3,4,8,5]=>[5,8,4,3,6,1,7,2]=>[5,4,8,6,7,3,1,2]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]
[2,8,1,6,3,7,4,5]=>[5,4,7,3,6,1,8,2]=>[5,4,7,6,8,1,3,2]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[2,4,1,8,6,3,5,7]=>[7,5,3,6,8,1,4,2]=>[5,3,7,1,6,8,4,2]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]
[2,7,1,5,6,3,8,4]=>[4,8,3,6,5,1,7,2]=>[4,3,8,6,5,7,1,2]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[2,8,1,5,6,7,3,4]=>[4,3,7,6,5,1,8,2]=>[4,3,7,6,5,1,8,2]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]
[7,3,1,2,4,5,8,6]=>[6,8,5,4,2,1,3,7]=>[2,6,8,5,4,3,1,7]=>[[.,[[[[.,[.,.]],.],.],.]],[.,.]]
[5,3,1,2,7,4,8,6]=>[6,8,4,7,2,1,3,5]=>[2,6,8,4,3,7,1,5]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]
[5,3,1,2,8,7,4,6]=>[6,4,7,8,2,1,3,5]=>[6,7,8,4,2,3,5,1]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[7,4,1,2,3,5,8,6]=>[6,8,5,3,2,1,4,7]=>[3,6,8,5,4,2,1,7]=>[[[.,[[[.,[.,.]],.],.]],.],[.,.]]
[7,6,1,2,3,4,8,5]=>[5,8,4,3,2,1,6,7]=>[5,6,8,4,3,2,1,7]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]
[5,8,1,2,3,7,4,6]=>[6,4,7,3,2,1,8,5]=>[6,4,7,5,3,2,8,1]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]
[8,6,1,2,3,7,4,5]=>[5,4,7,3,2,1,6,8]=>[5,7,8,4,3,2,6,1]=>[[[[[.,[.,[.,.]]],.],.],[.,.]],.]
[5,4,1,2,7,3,8,6]=>[6,8,3,7,2,1,4,5]=>[3,6,8,4,2,7,1,5]=>[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]
[8,4,1,2,6,3,5,7]=>[7,5,3,6,2,1,4,8]=>[5,7,8,6,3,4,2,1]=>[[[[.,[[.,[.,.]],.]],[.,.]],.],.]
[5,8,1,2,6,3,4,7]=>[7,4,3,6,2,1,8,5]=>[4,3,7,6,5,8,2,1]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]
[8,7,1,2,6,3,4,5]=>[5,4,3,6,2,1,7,8]=>[5,6,7,4,3,8,2,1]=>[[[[[.,[.,[.,.]]],.],[.,.]],.],.]
[5,7,1,2,6,3,8,4]=>[4,8,3,6,2,1,7,5]=>[4,3,8,6,2,7,1,5]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[5,4,1,2,6,8,3,7]=>[7,3,8,6,2,1,4,5]=>[3,7,8,4,2,1,6,5]=>[[[.,[[.,[.,.]],.]],.],[[.,.],.]]
[5,4,1,2,8,7,3,6]=>[6,3,7,8,2,1,4,5]=>[6,7,8,3,2,4,5,1]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[5,8,1,2,6,7,3,4]=>[4,3,7,6,2,1,8,5]=>[4,3,7,6,2,1,8,5]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[5,4,1,2,6,7,8,3]=>[3,8,7,6,2,1,4,5]=>[3,4,8,7,6,2,1,5]=>[[[.,[.,[[[.,.],.],.]]],.],[.,.]]
[4,3,1,7,2,5,8,6]=>[6,8,5,2,7,1,3,4]=>[2,6,8,5,7,3,1,4]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]
[4,3,1,6,2,8,5,7]=>[7,5,8,2,6,1,3,4]=>[2,7,8,5,6,3,4,1]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[4,3,1,6,2,7,8,5]=>[5,8,7,2,6,1,3,4]=>[2,5,8,3,7,6,1,4]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]
[7,3,1,8,2,4,5,6]=>[6,5,4,2,8,1,3,7]=>[2,6,8,5,7,4,3,1]=>[[.,[[[[.,[.,.]],[.,.]],.],.]],.]
[8,3,1,5,2,7,4,6]=>[6,4,7,2,5,1,3,8]=>[6,7,8,4,5,2,3,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[7,4,1,8,2,3,5,6]=>[6,5,3,2,8,1,4,7]=>[3,6,8,5,7,4,2,1]=>[[[.,[[[.,[.,.]],[.,.]],.]],.],.]
[7,4,1,6,2,3,8,5]=>[5,8,3,2,6,1,4,7]=>[5,6,8,3,7,2,1,4]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]
[6,8,1,5,2,3,4,7]=>[7,4,3,2,5,1,8,6]=>[7,4,8,5,6,3,2,1]=>[[[[[.,.],[[.,.],[.,.]]],.],.],.]
[8,7,1,5,2,3,4,6]=>[6,4,3,2,5,1,7,8]=>[4,6,7,5,8,3,2,1]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.]
[8,7,1,6,2,3,4,5]=>[5,4,3,2,6,1,7,8]=>[5,6,7,4,8,3,2,1]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.]
[6,4,1,5,2,8,3,7]=>[7,3,8,2,5,1,4,6]=>[3,7,8,5,6,2,4,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[6,8,1,5,2,7,3,4]=>[4,3,7,2,5,1,8,6]=>[4,3,7,5,8,2,6,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[6,4,1,5,2,7,8,3]=>[3,8,7,2,5,1,4,6]=>[3,5,8,2,7,6,1,4]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[4,3,1,8,6,2,5,7]=>[7,5,2,6,8,1,3,4]=>[5,7,8,2,3,6,4,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,3,1,8,7,2,5,6]=>[6,5,2,7,8,1,3,4]=>[6,7,8,2,3,5,4,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,3,1,7,6,2,8,5]=>[5,8,2,6,7,1,3,4]=>[5,6,8,2,3,7,1,4]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]
[8,3,1,5,6,2,4,7]=>[7,4,2,6,5,1,3,8]=>[4,7,8,2,1,6,5,3]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[8,3,1,5,7,2,4,6]=>[6,4,2,7,5,1,3,8]=>[6,7,8,4,2,5,3,1]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[8,3,1,7,6,2,4,5]=>[5,4,2,6,7,1,3,8]=>[5,6,7,2,4,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,3,1,5,6,2,8,4]=>[4,8,2,6,5,1,3,7]=>[4,6,8,7,2,5,1,3]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]
[8,4,1,5,6,2,3,7]=>[7,3,2,6,5,1,4,8]=>[3,7,8,2,1,6,5,4]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[8,4,1,5,7,2,3,6]=>[6,3,2,7,5,1,4,8]=>[6,7,8,3,2,5,4,1]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[7,8,1,5,6,2,3,4]=>[4,3,2,6,5,1,8,7]=>[4,3,6,5,2,8,7,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[4,3,1,5,6,8,2,7]=>[7,2,8,6,5,1,3,4]=>[2,7,8,6,3,1,5,4]=>[[.,[[[.,[.,.]],.],.]],[[.,.],.]]
[4,3,1,8,6,7,2,5]=>[5,2,7,6,8,1,3,4]=>[5,7,8,2,3,1,6,4]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[8,3,1,5,6,7,2,4]=>[4,2,7,6,5,1,3,8]=>[4,7,8,6,2,1,5,3]=>[[[.,[[.,[.,.]],.]],.],[[.,.],.]]
[8,4,1,5,6,7,2,3]=>[3,2,7,6,5,1,4,8]=>[3,7,8,6,2,1,5,4]=>[[[.,[[.,[.,.]],.]],.],[[.,.],.]]
[4,3,1,5,6,7,8,2]=>[2,8,7,6,5,1,3,4]=>[2,3,8,7,6,5,1,4]=>[[.,[.,[[[[.,.],.],.],.]]],[.,.]]
[2,3,7,1,6,4,8,5]=>[5,8,4,6,1,7,3,2]=>[5,4,3,8,6,7,1,2]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[2,3,8,1,6,7,4,5]=>[5,4,7,6,1,8,3,2]=>[5,4,3,7,6,1,8,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[2,6,4,1,3,8,5,7]=>[7,5,8,3,1,4,6,2]=>[7,3,5,8,6,1,4,2]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]
[2,6,4,1,3,7,8,5]=>[5,8,7,3,1,4,6,2]=>[5,3,4,8,7,6,1,2]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]]
[2,8,5,1,3,4,6,7]=>[7,6,4,3,1,5,8,2]=>[4,1,7,8,6,5,3,2]=>[[.,.],[[[[[.,[.,.]],.],.],.],.]]
[2,7,5,1,3,4,8,6]=>[6,8,4,3,1,5,7,2]=>[6,4,5,8,7,3,1,2]=>[[[[.,.],[.,[[.,.],.]]],.],[.,.]]
[2,8,7,1,3,4,5,6]=>[6,5,4,3,1,7,8,2]=>[6,1,7,8,5,4,3,2]=>[[.,.],[[[[[.,[.,.]],.],.],.],.]]
[2,8,5,1,3,7,4,6]=>[6,4,7,3,1,5,8,2]=>[6,4,7,8,5,1,3,2]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]
[2,6,5,1,3,7,8,4]=>[4,8,7,3,1,5,6,2]=>[4,3,5,8,7,6,1,2]=>[[[.,.],[.,[[[.,.],.],.]]],[.,.]]
[2,5,4,1,8,3,6,7]=>[7,6,3,8,1,4,5,2]=>[7,3,4,8,1,6,5,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[2,8,4,1,6,3,5,7]=>[7,5,3,6,1,4,8,2]=>[5,3,7,8,1,6,4,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[2,8,4,1,7,3,5,6]=>[6,5,3,7,1,4,8,2]=>[6,3,7,8,1,5,4,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[2,7,4,1,6,3,8,5]=>[5,8,3,6,1,4,7,2]=>[8,5,6,7,3,4,1,2]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]
[2,8,5,1,7,3,4,6]=>[6,4,3,7,1,5,8,2]=>[6,4,7,8,1,5,3,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[2,8,4,1,6,7,3,5]=>[5,3,7,6,1,4,8,2]=>[7,5,6,8,3,1,4,2]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]
[6,3,4,1,2,7,8,5]=>[5,8,7,2,1,4,3,6]=>[2,5,4,8,7,6,1,3]=>[[.,[[.,.],[[[.,.],.],.]]],[.,.]]
[6,3,8,1,2,7,4,5]=>[5,4,7,2,1,8,3,6]=>[5,7,2,8,4,3,6,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[6,8,5,1,2,3,4,7]=>[7,4,3,2,1,5,8,6]=>[7,4,5,8,6,3,2,1]=>[[[[[.,.],[.,[[.,.],.]]],.],.],.]
[6,5,4,1,2,8,3,7]=>[7,3,8,2,1,4,5,6]=>[3,4,7,8,5,2,6,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[8,5,4,1,2,7,3,6]=>[6,3,7,2,1,4,5,8]=>[3,6,7,8,4,2,5,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[6,8,4,1,2,7,3,5]=>[5,3,7,2,1,4,8,6]=>[5,3,7,8,4,2,6,1]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]
[6,5,4,1,2,7,8,3]=>[3,8,7,2,1,4,5,6]=>[3,4,5,8,7,2,1,6]=>[[[.,[.,[.,[[.,.],.]]]],.],[.,.]]
[5,3,4,1,8,2,6,7]=>[7,6,2,8,1,4,3,5]=>[2,7,4,8,1,6,5,3]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]
[5,3,4,1,7,2,8,6]=>[6,8,2,7,1,4,3,5]=>[2,8,6,7,4,5,1,3]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[8,3,4,1,7,2,5,6]=>[6,5,2,7,1,4,3,8]=>[6,7,2,8,1,5,4,3]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[7,3,4,1,6,2,8,5]=>[5,8,2,6,1,4,3,7]=>[5,8,6,7,2,4,1,3]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[8,3,5,1,6,2,4,7]=>[7,4,2,6,1,5,3,8]=>[4,7,2,8,1,6,5,3]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[8,3,5,1,7,2,4,6]=>[6,4,2,7,1,5,3,8]=>[6,7,4,8,2,5,3,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[7,3,8,1,6,2,4,5]=>[5,4,2,6,1,8,3,7]=>[5,6,2,8,4,7,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[7,3,5,1,6,2,8,4]=>[4,8,2,6,1,5,3,7]=>[4,8,6,7,2,5,1,3]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[8,5,4,1,7,2,3,6]=>[6,3,2,7,1,4,5,8]=>[3,6,7,8,4,5,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[7,8,4,1,6,2,3,5]=>[5,3,2,6,1,4,8,7]=>[5,3,6,8,4,7,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[7,8,5,1,6,2,3,4]=>[4,3,2,6,1,5,8,7]=>[4,3,6,8,5,7,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[8,3,4,1,6,7,2,5]=>[5,2,7,6,1,4,3,8]=>[5,7,6,8,2,1,4,3]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]
[8,3,5,1,6,7,2,4]=>[4,2,7,6,1,5,3,8]=>[4,7,6,8,2,1,5,3]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]
[8,5,4,1,6,7,2,3]=>[3,2,7,6,1,4,5,8]=>[3,4,7,8,2,1,6,5]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]
[2,3,7,5,1,4,8,6]=>[6,8,4,1,5,7,3,2]=>[6,4,3,5,8,7,1,2]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]
[2,3,7,6,1,4,8,5]=>[5,8,4,1,6,7,3,2]=>[5,4,3,6,8,7,1,2]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]
[2,3,8,6,1,7,4,5]=>[5,4,7,1,6,8,3,2]=>[5,4,3,7,8,1,6,2]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[2,8,4,5,1,3,6,7]=>[7,6,3,1,5,4,8,2]=>[7,3,6,1,8,5,4,2]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]
[2,8,4,6,1,3,5,7]=>[7,5,3,1,6,4,8,2]=>[5,3,7,1,8,6,4,2]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]
[2,8,6,5,1,3,4,7]=>[7,4,3,1,5,6,8,2]=>[4,1,5,7,8,6,3,2]=>[[.,.],[[[.,[[.,[.,.]],.]],.],.]]
[2,7,8,5,1,3,4,6]=>[6,4,3,1,5,8,7,2]=>[6,4,1,5,8,7,3,2]=>[[[.,.],.],[[[.,[[.,.],.]],.],.]]
[2,7,6,5,1,3,8,4]=>[4,8,3,1,5,6,7,2]=>[4,3,5,6,8,7,1,2]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[2,6,4,5,1,8,3,7]=>[7,3,8,1,5,4,6,2]=>[7,3,5,4,8,1,6,2]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[2,8,4,5,1,7,3,6]=>[6,3,7,1,5,4,8,2]=>[6,5,7,3,8,1,4,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[2,8,4,6,1,7,3,5]=>[5,3,7,1,6,4,8,2]=>[7,5,6,3,8,1,4,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[7,3,4,5,1,2,8,6]=>[6,8,2,1,5,4,3,7]=>[2,6,5,4,8,7,1,3]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]
[7,3,4,6,1,2,8,5]=>[5,8,2,1,6,4,3,7]=>[5,8,6,2,7,4,1,3]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]
[8,3,6,5,1,2,4,7]=>[7,4,2,1,5,6,3,8]=>[4,5,2,7,8,6,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[7,3,8,6,1,2,4,5]=>[5,4,2,1,6,8,3,7]=>[5,6,2,4,8,7,3,1]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[7,6,4,5,1,2,8,3]=>[3,8,2,1,5,4,6,7]=>[3,5,6,2,8,7,1,4]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[8,3,4,5,1,7,2,6]=>[6,2,7,1,5,4,3,8]=>[6,7,5,2,8,1,4,3]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[8,3,4,6,1,7,2,5]=>[5,2,7,1,6,4,3,8]=>[5,7,6,2,8,1,4,3]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]
[8,3,6,5,1,7,2,4]=>[4,2,7,1,5,6,3,8]=>[4,5,2,7,8,1,6,3]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[6,3,4,5,1,7,8,2]=>[2,8,7,1,5,4,3,6]=>[2,8,7,5,6,4,1,3]=>[[.,[[[[.,.],.],[.,.]],.]],[.,.]]
[2,3,4,7,6,1,8,5]=>[5,8,1,6,7,4,3,2]=>[8,5,4,3,6,7,1,2]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[2,3,8,7,6,1,4,5]=>[5,4,1,6,7,8,3,2]=>[5,4,1,6,7,8,3,2]=>[[[.,.],.],[[[.,[.,[.,.]]],.],.]]
[2,8,4,5,7,1,3,6]=>[6,3,1,7,5,4,8,2]=>[6,5,7,3,1,8,4,2]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[2,8,4,7,6,1,3,5]=>[5,3,1,6,7,4,8,2]=>[5,3,6,1,7,8,4,2]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]
[8,3,4,5,7,1,2,6]=>[6,2,1,7,5,4,3,8]=>[6,7,5,2,1,8,4,3]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[8,3,4,7,6,1,2,5]=>[5,2,1,6,7,4,3,8]=>[5,6,2,1,7,8,4,3]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]
[8,3,7,5,6,1,2,4]=>[4,2,1,6,5,7,3,8]=>[4,6,2,7,1,8,5,3]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[7,3,4,5,6,1,8,2]=>[2,8,1,6,5,4,3,7]=>[2,8,6,5,4,7,1,3]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]
[2,3,4,5,8,7,1,6]=>[6,1,7,8,5,4,3,2]=>[6,5,4,3,1,7,8,2]=>[[[[[.,.],.],.],.],[[.,[.,.]],.]]
[2,8,4,5,6,7,1,3]=>[3,1,7,6,5,4,8,2]=>[7,3,6,5,4,1,8,2]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]
[9,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,9]=>[8,9,7,6,5,4,3,2,1]=>[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]
[8,1,2,3,4,5,6,9,7]=>[7,9,6,5,4,3,2,1,8]=>[7,9,6,5,4,3,2,1,8]=>[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]]
[9,1,2,3,4,7,8,5,6]=>[6,5,8,7,4,3,2,1,9]=>[6,8,5,4,3,2,1,9,7]=>[[[[[[.,[.,.]],.],.],.],.],[[.,.],.]]
[5,1,2,3,6,7,8,9,4]=>[4,9,8,7,6,3,2,1,5]=>[4,9,8,7,6,3,2,1,5]=>[[[[.,[[[[.,.],.],.],.]],.],.],[.,.]]
[4,1,2,5,6,7,8,9,3]=>[3,9,8,7,6,5,2,1,4]=>[3,9,8,7,6,5,2,1,4]=>[[[.,[[[[[.,.],.],.],.],.]],.],[.,.]]
[3,1,5,2,7,4,9,6,8]=>[8,6,9,4,7,2,5,1,3]=>[8,9,6,7,4,5,2,3,1]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]
[3,1,4,8,9,2,5,6,7]=>[7,6,5,2,9,8,4,1,3]=>[7,9,6,2,1,8,5,4,3]=>[[[[.,[.,.]],.],.],[[[[.,.],.],.],.]]
[3,1,4,5,6,7,8,9,2]=>[2,9,8,7,6,5,4,1,3]=>[2,9,8,7,6,5,4,1,3]=>[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]]
[2,9,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,9,2]=>[8,1,9,7,6,5,4,3,2]=>[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]
[2,4,1,6,3,8,5,9,7]=>[7,9,5,8,3,6,1,4,2]=>[9,7,8,5,6,3,4,1,2]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]
[8,9,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,9,8]=>[7,6,9,8,5,4,3,2,1]=>[[[[[[[.,.],[[.,.],.]],.],.],.],.],.]
[2,3,4,5,6,7,9,1,8]=>[8,1,9,7,6,5,4,3,2]=>[8,7,6,5,4,3,1,9,2]=>[[[[[[[.,.],.],.],.],.],.],[[.,.],.]]
[2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2]=>[9,8,7,6,5,4,3,1,2]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]
[]=>[]=>[]=>.
[3,5,2,6,1,4,8,7]=>[7,8,4,1,6,2,5,3]=>[7,1,6,4,8,5,2,3]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[3,5,2,6,4,1,8,7]=>[7,8,1,4,6,2,5,3]=>[7,6,8,1,4,5,2,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[3,5,2,7,4,8,1,6]=>[6,1,8,4,7,2,5,3]=>[8,6,7,1,4,2,5,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,5,2,7,4,8,6,1]=>[1,6,8,4,7,2,5,3]=>[8,6,7,4,5,1,2,3]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[4,5,7,2,3,8,6,1]=>[1,6,8,3,2,7,5,4]=>[8,6,3,7,5,1,2,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[4,5,7,2,3,8,1,6]=>[6,1,8,3,2,7,5,4]=>[8,6,1,7,3,2,5,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[4,5,6,2,3,1,8,7]=>[7,8,1,3,2,6,5,4]=>[7,6,1,8,3,5,2,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[4,5,6,2,1,3,8,7]=>[7,8,3,1,2,6,5,4]=>[7,6,1,3,8,5,2,4]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[3,5,1,6,4,2,8,7]=>[7,8,2,4,6,1,5,3]=>[7,6,8,2,4,5,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[4,5,6,1,3,2,8,7]=>[7,8,2,3,1,6,5,4]=>[7,6,2,8,3,5,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[4,5,6,3,1,2,8,7]=>[7,8,2,1,3,6,5,4]=>[7,6,2,3,8,5,1,4]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]
[4,5,7,3,2,8,1,6]=>[6,1,8,2,3,7,5,4]=>[8,6,1,2,5,3,7,4]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[4,5,7,3,2,8,6,1]=>[1,6,8,2,3,7,5,4]=>[8,6,1,5,7,2,3,4]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[4,6,7,3,8,2,5,1]=>[1,5,2,8,3,7,6,4]=>[8,7,1,5,2,6,3,4]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[4,6,7,3,8,2,1,5]=>[5,1,2,8,3,7,6,4]=>[8,7,1,5,2,3,6,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[4,6,7,3,8,1,2,5]=>[5,2,1,8,3,7,6,4]=>[8,5,2,3,1,7,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[4,5,7,3,1,8,2,6]=>[6,2,8,1,3,7,5,4]=>[8,6,2,3,7,1,5,4]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[4,5,7,1,3,8,2,6]=>[6,2,8,3,1,7,5,4]=>[8,6,2,7,3,1,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[3,5,1,7,4,8,2,6]=>[6,2,8,4,7,1,5,3]=>[8,6,7,2,4,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[2,1,5,7,4,8,3,6]=>[6,3,8,4,7,5,1,2]=>[6,8,7,3,4,1,5,2]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]
[2,1,5,7,4,8,6,3]=>[3,6,8,4,7,5,1,2]=>[6,8,7,3,4,1,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]
[3,5,1,7,4,8,6,2]=>[2,6,8,4,7,1,5,3]=>[8,6,7,2,4,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[4,5,7,1,3,8,6,2]=>[2,6,8,3,1,7,5,4]=>[8,6,2,7,5,1,3,4]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[4,5,7,3,1,8,6,2]=>[2,6,8,1,3,7,5,4]=>[8,6,2,5,7,1,3,4]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[4,6,7,3,8,1,5,2]=>[2,5,1,8,3,7,6,4]=>[8,7,2,5,1,6,3,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[4,6,7,3,8,5,1,2]=>[2,1,5,8,3,7,6,4]=>[8,7,2,5,1,3,6,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[4,6,7,3,8,5,2,1]=>[1,2,5,8,3,7,6,4]=>[8,7,5,6,1,2,3,4]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[5,6,7,8,3,1,4,2]=>[2,4,1,3,8,7,6,5]=>[8,7,2,1,4,6,3,5]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[5,6,7,8,1,3,4,2]=>[2,4,3,1,8,7,6,5]=>[8,4,2,1,7,6,3,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[4,6,7,1,8,3,5,2]=>[2,5,3,8,1,7,6,4]=>[8,5,2,7,1,6,3,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[3,6,1,7,8,4,5,2]=>[2,5,4,8,7,1,6,3]=>[8,5,7,2,1,4,3,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[2,1,6,7,8,4,5,3]=>[3,5,4,8,7,6,1,2]=>[5,8,7,3,1,4,2,6]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]
[2,1,6,7,8,4,3,5]=>[5,3,4,8,7,6,1,2]=>[5,8,7,3,1,4,6,2]=>[[[.,[[.,.],.]],.],[[.,[.,.]],.]]
[3,6,1,7,8,4,2,5]=>[5,2,4,8,7,1,6,3]=>[8,5,7,2,1,4,6,3]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]
[4,6,7,1,8,3,2,5]=>[5,2,3,8,1,7,6,4]=>[8,5,2,7,1,3,6,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[5,6,7,8,1,3,2,4]=>[4,2,3,1,8,7,6,5]=>[8,4,2,1,7,3,6,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[4,5,7,2,1,8,3,6]=>[6,3,8,1,2,7,5,4]=>[8,6,1,3,7,2,5,4]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[4,6,7,2,8,1,3,5]=>[5,3,1,8,2,7,6,4]=>[8,5,1,3,2,7,6,4]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[4,6,7,2,8,3,1,5]=>[5,1,3,8,2,7,6,4]=>[8,5,3,7,1,2,6,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[4,6,7,2,8,3,5,1]=>[1,5,3,8,2,7,6,4]=>[8,5,3,7,1,6,2,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[3,6,2,7,8,4,5,1]=>[1,5,4,8,7,2,6,3]=>[8,5,7,4,1,6,2,3]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[3,6,2,7,8,4,1,5]=>[5,1,4,8,7,2,6,3]=>[8,5,7,4,1,2,6,3]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]
[3,6,2,7,8,1,4,5]=>[5,4,1,8,7,2,6,3]=>[8,1,5,4,2,7,6,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[3,5,2,7,1,8,4,6]=>[6,4,8,1,7,2,5,3]=>[8,1,6,4,7,2,5,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[3,4,2,1,7,8,5,6]=>[6,5,8,7,1,2,4,3]=>[6,1,5,8,4,2,7,3]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[3,4,1,2,7,8,6,5]=>[5,6,8,7,2,1,4,3]=>[5,2,8,6,4,1,3,7]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]
[3,5,2,7,1,8,6,4]=>[4,6,8,1,7,2,5,3]=>[8,4,6,5,7,1,2,3]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[3,6,2,7,8,1,5,4]=>[4,5,1,8,7,2,6,3]=>[8,4,7,5,1,6,2,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[3,6,2,7,8,5,1,4]=>[4,1,5,8,7,2,6,3]=>[8,4,7,5,1,2,6,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[3,6,2,7,8,5,4,1]=>[1,4,5,8,7,2,6,3]=>[8,4,7,5,1,2,3,6]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[4,6,7,2,8,5,3,1]=>[1,3,5,8,2,7,6,4]=>[8,7,3,5,1,2,4,6]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[4,6,7,2,8,5,1,3]=>[3,1,5,8,2,7,6,4]=>[8,7,3,5,1,2,6,4]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[4,6,7,2,8,1,5,3]=>[3,5,1,8,2,7,6,4]=>[8,7,3,5,1,6,2,4]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[4,5,7,2,1,8,6,3]=>[3,6,8,1,2,7,5,4]=>[8,6,3,5,7,1,2,4]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[4,5,7,1,2,8,6,3]=>[3,6,8,2,1,7,5,4]=>[8,3,2,6,5,1,4,7]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[3,5,1,7,2,8,6,4]=>[4,6,8,2,7,1,5,3]=>[8,4,6,2,5,1,3,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[2,1,5,7,3,8,6,4]=>[4,6,8,3,7,5,1,2]=>[4,8,6,3,5,1,2,7]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]
[2,1,6,7,8,3,5,4]=>[4,5,3,8,7,6,1,2]=>[4,8,7,3,1,5,2,6]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]
[3,6,1,7,8,2,5,4]=>[4,5,2,8,7,1,6,3]=>[8,4,7,2,1,5,3,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[4,6,7,1,8,2,5,3]=>[3,5,2,8,1,7,6,4]=>[8,3,2,7,1,5,4,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[5,6,7,8,1,2,4,3]=>[3,4,2,1,8,7,6,5]=>[8,3,2,1,7,6,4,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[5,6,7,8,2,1,4,3]=>[3,4,1,2,8,7,6,5]=>[8,7,3,1,4,6,2,5]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[5,6,7,8,2,4,1,3]=>[3,1,4,2,8,7,6,5]=>[8,7,3,1,4,2,6,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[5,6,7,8,2,4,3,1]=>[1,3,4,2,8,7,6,5]=>[8,7,3,1,6,2,4,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[5,6,7,8,1,4,2,3]=>[3,2,4,1,8,7,6,5]=>[8,3,2,1,7,4,6,5]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[4,6,7,1,8,5,2,3]=>[3,2,5,8,1,7,6,4]=>[8,3,2,7,1,5,6,4]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]
[3,6,1,7,8,5,2,4]=>[4,2,5,8,7,1,6,3]=>[8,4,7,2,1,5,6,3]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]
[2,1,6,7,8,5,3,4]=>[4,3,5,8,7,6,1,2]=>[4,8,7,3,1,5,6,2]=>[[[.,[[.,.],.]],.],[[.,[.,.]],.]]
[3,6,1,7,8,5,4,2]=>[2,4,5,8,7,1,6,3]=>[8,2,7,4,1,3,5,6]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[4,6,7,1,8,5,3,2]=>[2,3,5,8,1,7,6,4]=>[8,7,2,5,1,3,4,6]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[5,6,7,8,1,4,3,2]=>[2,3,4,1,8,7,6,5]=>[8,7,2,1,6,3,4,5]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[5,6,7,8,4,1,3,2]=>[2,3,1,4,8,7,6,5]=>[8,7,2,1,3,6,4,5]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[3,5,2,7,4,9,6,10,8,1]=>[1,8,10,6,9,4,7,2,5,3]=>[10,8,9,6,7,4,5,1,2,3]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,[.,.]]]
[4,6,8,3,9,5,10,7,2,1]=>[1,2,7,10,5,9,3,8,6,4]=>[10,9,7,8,5,6,1,2,3,4]=>[[[[[.,.],.],[.,.]],[.,.]],[.,[.,[.,.]]]]
[5,7,8,9,4,10,6,3,2,1]=>[1,2,3,6,10,4,9,8,7,5]=>[10,9,8,6,7,1,2,3,4,5]=>[[[[[.,.],.],.],[.,.]],[.,[.,[.,[.,.]]]]]
[6,7,8,9,10,5,4,3,2,1]=>[1,2,3,4,5,10,9,8,7,6]=>[10,9,8,7,1,2,3,4,5,6]=>[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]
[6,5,8,7,3,4,1,2]=>[2,1,4,3,7,8,5,6]=>[2,4,1,3,7,5,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[3,6,7,4,5,8,1,2]=>[2,1,8,5,4,7,6,3]=>[8,2,1,5,4,3,7,6]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[2,6,7,4,5,1,8,3]=>[3,8,1,5,4,7,6,2]=>[8,3,1,5,4,7,2,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>[8,3,2,5,4,7,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[1,5,4,7,6,2,3,8]=>[8,3,2,6,7,4,5,1]=>[8,3,6,2,4,7,5,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[2,5,4,7,6,1,8,3]=>[3,8,1,6,7,4,5,2]=>[8,3,6,1,4,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[3,5,4,7,6,8,1,2]=>[2,1,8,6,7,4,5,3]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[4,5,3,7,8,6,1,2]=>[2,1,6,8,7,3,5,4]=>[8,2,6,5,1,3,7,4]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[5,4,3,8,7,6,1,2]=>[2,1,6,7,8,3,4,5]=>[2,6,7,1,3,4,8,5]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[6,4,8,3,7,5,1,2]=>[2,1,5,7,3,8,4,6]=>[2,5,1,7,3,4,8,6]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[6,3,8,4,5,7,1,2]=>[2,1,7,5,4,8,3,6]=>[2,7,1,5,4,3,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[5,3,4,8,6,7,1,2]=>[2,1,7,6,8,4,3,5]=>[2,7,6,1,4,3,8,5]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[4,3,5,6,8,7,1,2]=>[2,1,7,8,6,5,3,4]=>[2,7,6,5,1,3,8,4]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[3,2,5,6,1,8,7,4]=>[4,7,8,1,6,5,2,3]=>[4,7,6,5,8,1,2,3]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[4,2,5,6,8,1,7,3]=>[3,7,1,8,6,5,2,4]=>[3,7,6,5,1,8,2,4]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[5,2,4,8,6,1,7,3]=>[3,7,1,6,8,4,2,5]=>[3,7,6,1,4,8,2,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[7,8,2,4,5,1,6,3]=>[3,6,1,5,4,2,8,7]=>[3,1,6,5,4,8,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[7,8,1,4,5,2,3,6]=>[6,3,2,5,4,1,8,7]=>[3,2,6,5,4,8,7,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[6,1,8,4,5,2,3,7]=>[7,3,2,5,4,8,1,6]=>[3,7,2,5,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,1,4,8,6,2,3,7]=>[7,3,2,6,8,4,1,5]=>[3,7,6,2,4,8,5,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[4,1,3,2,8,6,5,7]=>[7,5,6,8,2,3,1,4]=>[5,7,6,8,2,3,4,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[5,1,3,8,2,6,4,7]=>[7,4,6,2,8,3,1,5]=>[4,7,6,2,8,3,5,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[6,1,8,3,2,5,4,7]=>[7,4,5,2,3,8,1,6]=>[4,7,2,5,8,3,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,8,1,3,2,5,4,6]=>[6,4,5,2,3,1,8,7]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[7,8,2,3,1,5,6,4]=>[4,6,5,1,3,2,8,7]=>[4,1,6,5,8,3,2,7]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[6,2,8,3,1,5,7,4]=>[4,7,5,1,3,8,2,6]=>[4,7,1,5,8,3,2,6]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[4,7,6,1,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[6,3,8,2,1,7,5,4]=>[4,5,7,1,2,8,3,6]=>[4,5,1,7,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[7,8,3,2,1,6,5,4]=>[4,5,6,1,2,3,8,7]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[7,8,4,2,6,1,5,3]=>[3,5,1,6,2,4,8,7]=>[3,1,5,6,2,8,4,7]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[5,4,2,8,7,1,6,3]=>[3,6,1,7,8,2,4,5]=>[3,6,7,1,2,8,4,5]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[4,5,2,7,8,1,6,3]=>[3,6,1,8,7,2,5,4]=>[8,3,6,5,1,7,2,4]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[2,5,3,7,1,6,8,4]=>[4,8,6,1,7,3,5,2]=>[8,4,6,1,7,3,2,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>[8,4,6,2,7,3,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[1,6,7,3,2,5,4,8]=>[8,4,5,2,3,7,6,1]=>[8,4,2,5,7,3,6,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[2,6,7,3,1,5,8,4]=>[4,8,5,1,3,7,6,2]=>[8,4,1,5,7,3,2,6]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[3,6,7,2,1,8,5,4]=>[4,5,8,1,2,7,6,3]=>[8,7,4,5,6,1,2,3]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[7,8,5,6,2,1,4,3]=>[3,4,1,2,6,5,8,7]=>[3,1,4,2,6,8,5,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[6,5,8,7,1,2,3,4]=>[4,3,2,1,7,8,5,6]=>[4,7,3,5,8,6,2,1]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[5,4,1,8,7,2,3,6]=>[6,3,2,7,8,1,4,5]=>[6,7,8,3,4,5,2,1]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[6,4,8,1,7,2,3,5]=>[5,3,2,7,1,8,4,6]=>[5,7,3,8,4,6,2,1]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[7,8,3,1,2,6,4,5]=>[5,4,6,2,1,3,8,7]=>[5,2,6,8,4,3,7,1]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[5,3,1,8,2,7,4,6]=>[6,4,7,2,8,1,3,5]=>[6,7,8,2,4,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,3,1,2,8,7,5,6]=>[6,5,7,8,2,1,3,4]=>[6,7,8,5,2,3,4,1]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[4,2,1,3,8,5,7,6]=>[6,7,5,8,3,1,2,4]=>[6,7,8,5,1,3,2,4]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[5,2,1,8,3,4,7,6]=>[6,7,4,3,8,1,2,5]=>[6,7,8,1,4,3,2,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[6,2,8,1,3,4,7,5]=>[5,7,4,3,1,8,2,6]=>[5,7,1,8,4,3,2,6]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[7,8,2,1,3,4,6,5]=>[5,6,4,3,1,2,8,7]=>[5,1,6,8,4,3,2,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[4,3,1,2,6,5,8,7]=>[7,8,5,6,2,1,3,4]=>[2,7,8,5,3,6,1,4]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]
[5,3,1,6,2,4,8,7]=>[7,8,4,2,6,1,3,5]=>[2,7,8,4,6,3,1,5]=>[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]
[6,3,1,5,2,4,8,7]=>[7,8,4,2,5,1,3,6]=>[4,7,8,5,6,2,1,3]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]
[7,3,1,5,2,8,4,6]=>[6,4,8,2,5,1,3,7]=>[4,6,8,5,7,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[8,4,5,1,2,7,3,6]=>[6,3,7,2,1,5,4,8]=>[6,7,3,8,5,2,4,1]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[7,4,5,1,2,8,3,6]=>[6,3,8,2,1,5,4,7]=>[3,6,5,8,7,2,4,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[6,4,5,1,2,3,8,7]=>[7,8,3,2,1,5,4,6]=>[3,7,5,8,6,2,1,4]=>[[[.,[[.,.],[[.,.],.]]],.],[.,.]]
[5,4,6,1,2,3,8,7]=>[7,8,3,2,1,6,4,5]=>[3,7,4,8,6,2,1,5]=>[[[.,[[.,.],[[.,.],.]]],.],[.,.]]
[2,1,6,5,3,4,8,7]=>[7,8,4,3,5,6,1,2]=>[7,8,4,5,6,3,1,2]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]
[3,6,1,5,2,4,8,7]=>[7,8,4,2,5,1,6,3]=>[7,4,8,5,6,2,1,3]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]
[4,6,5,1,2,3,8,7]=>[7,8,3,2,1,5,6,4]=>[7,3,5,8,6,2,1,4]=>[[[[.,.],[.,[[.,.],.]]],.],[.,.]]
[5,6,4,1,2,3,8,7]=>[7,8,3,2,1,4,6,5]=>[7,3,4,8,6,2,1,5]=>[[[[.,.],[.,[[.,.],.]]],.],[.,.]]
[6,5,4,1,2,3,8,7]=>[7,8,3,2,1,4,5,6]=>[3,4,7,8,5,2,1,6]=>[[[.,[.,[[.,[.,.]],.]]],.],[.,.]]
[7,5,4,1,2,8,3,6]=>[6,3,8,2,1,4,5,7]=>[3,4,6,8,5,2,7,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[8,6,4,1,7,2,3,5]=>[5,3,2,7,1,4,6,8]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[7,6,4,1,8,2,3,5]=>[5,3,2,8,1,4,6,7]=>[3,5,6,8,4,7,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[6,7,4,1,8,2,3,5]=>[5,3,2,8,1,4,7,6]=>[5,3,4,8,2,7,6,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[5,7,4,1,2,8,3,6]=>[6,3,8,2,1,4,7,5]=>[6,3,4,8,7,2,5,1]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]
[4,7,5,1,2,8,3,6]=>[6,3,8,2,1,5,7,4]=>[6,3,5,8,7,2,4,1]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]
[3,7,1,5,2,8,4,6]=>[6,4,8,2,5,1,7,3]=>[6,4,8,5,7,2,3,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[2,1,7,5,3,8,4,6]=>[6,4,8,3,5,7,1,2]=>[6,8,4,5,7,1,3,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[2,1,8,5,3,7,4,6]=>[6,4,7,3,5,8,1,2]=>[6,7,4,5,8,1,3,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[3,8,1,5,2,7,4,6]=>[6,4,7,2,5,1,8,3]=>[6,4,7,5,8,2,3,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[4,8,5,1,2,7,3,6]=>[6,3,7,2,1,5,8,4]=>[6,3,7,8,5,2,4,1]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]
[5,8,4,1,2,7,3,6]=>[6,3,7,2,1,4,8,5]=>[6,3,7,8,4,2,5,1]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]
[6,8,4,1,7,2,3,5]=>[5,3,2,7,1,4,8,6]=>[5,3,7,8,4,6,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[8,7,4,1,6,2,3,5]=>[5,3,2,6,1,4,7,8]=>[5,6,7,8,3,4,2,1]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[5,8,6,7,1,2,3,4]=>[4,3,2,1,7,6,8,5]=>[4,3,7,2,8,6,5,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[4,8,6,1,7,2,3,5]=>[5,3,2,7,1,6,8,4]=>[5,3,7,8,2,6,4,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[3,8,1,6,7,2,4,5]=>[5,4,2,7,6,1,8,3]=>[5,4,7,6,2,8,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[2,1,8,6,7,3,4,5]=>[5,4,3,7,6,8,1,2]=>[5,7,4,6,1,8,3,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[2,1,7,6,8,3,4,5]=>[5,4,3,8,6,7,1,2]=>[5,8,4,6,1,7,3,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[3,7,1,6,8,2,4,5]=>[5,4,2,8,6,1,7,3]=>[5,4,8,6,2,7,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[4,7,6,1,8,2,3,5]=>[5,3,2,8,1,6,7,4]=>[5,3,6,8,2,7,4,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[5,7,6,8,1,2,3,4]=>[4,3,2,1,8,6,7,5]=>[4,3,6,2,8,7,5,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[5,4,7,1,2,8,3,6]=>[6,3,8,2,1,7,4,5]=>[3,6,4,8,7,2,5,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[6,4,7,1,8,2,3,5]=>[5,3,2,8,1,7,4,6]=>[3,5,4,8,2,7,6,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[7,4,6,1,8,2,3,5]=>[5,3,2,8,1,6,4,7]=>[5,6,3,8,2,7,4,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[8,4,6,1,7,2,3,5]=>[5,3,2,7,1,6,4,8]=>[5,7,3,8,2,6,4,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[8,3,1,6,7,2,4,5]=>[5,4,2,7,6,1,3,8]=>[5,7,8,4,2,6,3,1]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[7,3,1,6,8,2,4,5]=>[5,4,2,8,6,1,3,7]=>[5,6,8,4,2,7,3,1]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[6,3,1,7,8,2,4,5]=>[5,4,2,8,7,1,3,6]=>[2,5,8,4,3,7,6,1]=>[[.,[[[.,[.,.]],.],[[.,.],.]]],.]
[5,3,1,7,2,8,4,6]=>[6,4,8,2,7,1,3,5]=>[2,6,8,4,7,3,5,1]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[4,3,1,2,7,8,5,6]=>[6,5,8,7,2,1,3,4]=>[2,6,8,5,3,1,7,4]=>[[.,[[[.,[.,.]],.],.]],[[.,.],.]]
[2,1,4,3,8,7,5,6]=>[6,5,7,8,3,4,1,2]=>[6,7,3,5,1,4,8,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]
[3,4,1,2,8,7,5,6]=>[6,5,7,8,2,1,4,3]=>[6,2,7,5,1,4,8,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[6,3,1,8,7,2,4,5]=>[5,4,2,7,8,1,3,6]=>[5,7,8,2,4,6,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,3,1,8,6,2,4,5]=>[5,4,2,6,8,1,3,7]=>[5,6,8,2,4,7,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[8,4,7,1,6,2,3,5]=>[5,3,2,6,1,7,4,8]=>[5,6,3,7,4,8,2,1]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[7,4,8,1,6,2,3,5]=>[5,3,2,6,1,8,4,7]=>[5,6,3,8,4,7,2,1]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[5,4,8,1,2,7,3,6]=>[6,3,7,2,1,8,4,5]=>[6,7,3,8,4,2,5,1]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[4,5,8,1,2,7,3,6]=>[6,3,7,2,1,8,5,4]=>[6,3,2,7,5,4,8,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[3,5,1,8,2,7,4,6]=>[6,4,7,2,8,1,5,3]=>[6,4,7,2,5,3,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[2,1,5,8,3,7,4,6]=>[6,4,7,3,8,5,1,2]=>[6,7,4,1,5,3,8,2]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]
[2,1,6,8,7,3,4,5]=>[5,4,3,7,8,6,1,2]=>[5,7,4,1,6,8,3,2]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]
[3,6,1,8,7,2,4,5]=>[5,4,2,7,8,1,6,3]=>[5,4,7,2,6,8,3,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[4,6,8,1,7,2,3,5]=>[5,3,2,7,1,8,6,4]=>[5,3,2,7,6,8,4,1]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]
[5,6,8,7,1,2,3,4]=>[4,3,2,1,7,8,6,5]=>[4,3,2,7,8,6,5,1]=>[[[[.,.],.],[[[.,[.,.]],.],.]],.]
[7,5,8,6,1,2,3,4]=>[4,3,2,1,6,8,5,7]=>[4,6,3,5,8,7,2,1]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[8,5,7,6,1,2,3,4]=>[4,3,2,1,6,7,5,8]=>[4,6,3,7,8,5,2,1]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]
[5,7,8,6,1,2,3,4]=>[4,3,2,1,6,8,7,5]=>[4,3,2,6,8,7,5,1]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]
[4,7,8,1,6,2,3,5]=>[5,3,2,6,1,8,7,4]=>[5,3,2,8,6,7,4,1]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]
[3,7,1,8,6,2,4,5]=>[5,4,2,6,8,1,7,3]=>[5,4,8,2,6,7,3,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[2,1,7,8,6,3,4,5]=>[5,4,3,6,8,7,1,2]=>[5,8,4,1,6,7,3,2]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]
[2,1,8,7,6,3,4,5]=>[5,4,3,6,7,8,1,2]=>[5,6,1,4,7,8,3,2]=>[[.,[.,.]],[[[.,[.,[.,.]]],.],.]]
[3,8,1,7,6,2,4,5]=>[5,4,2,6,7,1,8,3]=>[5,2,6,4,7,8,3,1]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.]
[4,8,7,1,6,2,3,5]=>[5,3,2,6,1,7,8,4]=>[5,3,6,7,4,8,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[5,8,7,6,1,2,3,4]=>[4,3,2,1,6,7,8,5]=>[4,3,6,7,8,5,2,1]=>[[[[.,.],[[.,[.,[.,.]]],.]],.],.]
[6,8,7,5,1,2,3,4]=>[4,3,2,1,5,7,8,6]=>[4,3,5,7,8,6,2,1]=>[[[[.,.],[.,[[.,[.,.]],.]]],.],.]
[6,4,7,3,8,5,1,2]=>[2,1,5,8,3,7,4,6]=>[2,8,3,5,1,4,7,6]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[6,4,7,3,5,8,1,2]=>[2,1,8,5,3,7,4,6]=>[2,3,1,8,5,4,7,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[6,4,7,2,5,1,8,3]=>[3,8,1,5,2,7,4,6]=>[1,3,2,8,5,7,4,6]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[5,4,2,7,6,1,3,8]=>[8,3,1,6,7,2,4,5]=>[1,3,6,2,4,8,7,5]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]
[5,4,2,7,6,1,8,3]=>[3,8,1,6,7,2,4,5]=>[1,3,8,2,6,7,4,5]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,4,3,7,6,8,1,2]=>[2,1,8,6,7,3,4,5]=>[2,3,8,1,6,4,7,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[5,4,3,7,8,6,1,2]=>[2,1,6,8,7,3,4,5]=>[2,3,8,6,1,4,7,5]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]
[6,4,8,3,5,7,1,2]=>[2,1,7,5,3,8,4,6]=>[2,3,1,7,5,4,8,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[5,4,3,8,6,7,1,2]=>[2,1,7,6,8,3,4,5]=>[2,3,7,1,6,4,8,5]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[5,4,3,6,8,7,1,2]=>[2,1,7,8,6,3,4,5]=>[2,3,7,6,1,4,8,5]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]
[5,4,2,6,7,1,8,3]=>[3,8,1,7,6,2,4,5]=>[1,3,8,7,4,6,2,5]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,4,2,6,7,1,3,8]=>[8,3,1,7,6,2,4,5]=>[1,3,8,4,2,7,6,5]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[5,3,2,6,1,7,4,8]=>[8,4,7,1,6,2,3,5]=>[1,2,8,4,7,3,6,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[5,3,2,6,1,7,8,4]=>[4,8,7,1,6,2,3,5]=>[1,2,8,4,7,6,3,5]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]
[5,3,2,6,1,8,7,4]=>[4,7,8,1,6,2,3,5]=>[1,4,7,6,8,2,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[5,4,2,6,8,1,7,3]=>[3,7,1,8,6,2,4,5]=>[1,3,7,6,2,8,4,5]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,4,2,8,6,1,7,3]=>[3,7,1,6,8,2,4,5]=>[1,3,7,2,6,8,4,5]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,4,8,2,5,1,7,3]=>[3,7,1,5,2,8,4,6]=>[1,3,2,7,5,8,4,6]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[7,8,4,2,5,1,6,3]=>[3,6,1,5,2,4,8,7]=>[3,1,2,6,5,8,4,7]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]
[7,8,4,2,5,1,3,6]=>[6,3,1,5,2,4,8,7]=>[3,1,2,6,5,8,7,4]=>[[.,.],[.,[[[.,.],[[.,.],.]],.]]]
[5,4,2,8,6,1,3,7]=>[7,3,1,6,8,2,4,5]=>[1,3,7,2,4,8,6,5]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]
[5,3,2,6,1,8,4,7]=>[7,4,8,1,6,2,3,5]=>[1,2,7,4,8,3,6,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[4,3,2,1,6,8,5,7]=>[7,5,8,6,1,2,3,4]=>[1,2,7,8,5,3,6,4]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]
[4,3,2,1,8,6,5,7]=>[7,5,6,8,1,2,3,4]=>[1,5,7,8,2,3,6,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[5,3,2,8,1,6,4,7]=>[7,4,6,1,8,2,3,5]=>[1,4,7,2,8,3,6,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[6,3,8,2,1,5,4,7]=>[7,4,5,1,2,8,3,6]=>[1,4,2,7,8,5,6,3]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]
[7,8,3,2,1,5,4,6]=>[6,4,5,1,2,3,8,7]=>[4,1,2,6,8,5,7,3]=>[[.,.],[.,[[[.,[.,.]],[.,.]],.]]]
[7,8,3,2,1,5,6,4]=>[4,6,5,1,2,3,8,7]=>[4,1,2,6,8,5,3,7]=>[[.,.],[.,[[[.,[.,.]],.],[.,.]]]]
[6,3,8,2,1,5,7,4]=>[4,7,5,1,2,8,3,6]=>[1,4,2,7,8,5,3,6]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[5,3,2,8,1,6,7,4]=>[4,7,6,1,8,2,3,5]=>[1,4,7,2,8,6,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[5,4,2,7,8,1,6,3]=>[3,6,1,8,7,2,4,5]=>[1,3,8,6,2,7,4,5]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[5,3,2,7,1,8,6,4]=>[4,6,8,1,7,2,3,5]=>[1,4,8,6,7,2,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[5,3,2,7,1,6,8,4]=>[4,8,6,1,7,2,3,5]=>[1,4,6,2,8,7,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[5,3,2,7,1,6,4,8]=>[8,4,6,1,7,2,3,5]=>[1,4,6,2,8,3,7,5]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[6,3,7,2,1,5,4,8]=>[8,4,5,1,2,7,3,6]=>[1,4,2,5,8,3,7,6]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[6,3,7,2,1,5,8,4]=>[4,8,5,1,2,7,3,6]=>[1,4,2,5,8,7,3,6]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[6,3,7,2,1,8,5,4]=>[4,5,8,1,2,7,3,6]=>[1,8,4,5,7,2,3,6]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[6,4,7,2,8,1,5,3]=>[3,5,1,8,2,7,4,6]=>[1,8,3,5,2,7,4,6]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,5,7,8,2,1,4,3]=>[3,4,1,2,8,7,5,6]=>[3,8,4,1,5,7,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[6,5,8,7,2,1,3,4]=>[4,3,1,2,7,8,5,6]=>[4,7,1,3,5,8,6,2]=>[[.,[.,.]],[[.,[.,[[.,.],.]]],.]]
[6,3,7,2,1,8,4,5]=>[5,4,8,1,2,7,3,6]=>[1,5,2,4,8,3,7,6]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[6,3,7,2,1,4,8,5]=>[5,8,4,1,2,7,3,6]=>[1,5,2,4,8,7,3,6]=>[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]
[6,3,7,2,1,4,5,8]=>[8,5,4,1,2,7,3,6]=>[1,5,2,4,8,7,6,3]=>[.,[[.,.],[[.,[[[.,.],.],.]],.]]]
[5,3,2,7,1,4,8,6]=>[6,8,4,1,7,2,3,5]=>[1,2,6,4,8,7,3,5]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]
[5,4,2,8,7,1,3,6]=>[6,3,1,7,8,2,4,5]=>[1,6,7,3,4,8,5,2]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[7,8,4,2,6,1,3,5]=>[5,3,1,6,2,4,8,7]=>[5,1,3,6,4,8,7,2]=>[[.,.],[[.,[[.,.],[[.,.],.]]],.]]
[7,8,3,2,1,6,4,5]=>[5,4,6,1,2,3,8,7]=>[5,1,2,6,8,4,7,3]=>[[.,.],[.,[[[.,[.,.]],[.,.]],.]]]
[6,3,8,2,1,7,4,5]=>[5,4,7,1,2,8,3,6]=>[1,5,2,7,8,4,6,3]=>[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]
[5,3,2,8,1,7,4,6]=>[6,4,7,1,8,2,3,5]=>[1,6,7,2,8,4,5,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[4,3,2,1,8,7,5,6]=>[6,5,7,8,1,2,3,4]=>[1,6,7,8,2,3,5,4]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[4,3,2,1,7,5,8,6]=>[6,8,5,7,1,2,3,4]=>[1,2,6,8,5,7,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]
[4,3,2,1,7,5,6,8]=>[8,6,5,7,1,2,3,4]=>[1,2,6,8,3,7,5,4]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]
[4,3,2,1,8,5,7,6]=>[6,7,5,8,1,2,3,4]=>[1,6,7,8,2,5,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,3,2,8,1,4,7,6]=>[6,7,4,1,8,2,3,5]=>[1,6,7,2,8,4,3,5]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[6,3,8,2,1,4,7,5]=>[5,7,4,1,2,8,3,6]=>[1,5,2,7,8,4,3,6]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[7,8,3,2,1,4,6,5]=>[5,6,4,1,2,3,8,7]=>[5,1,2,6,8,4,3,7]=>[[.,.],[.,[[[.,[.,.]],.],[.,.]]]]
[6,3,8,2,1,4,5,7]=>[7,5,4,1,2,8,3,6]=>[1,7,2,5,8,6,4,3]=>[.,[[.,.],[[[.,[[.,.],.]],.],.]]]
[4,3,2,1,8,5,6,7]=>[7,6,5,8,1,2,3,4]=>[1,2,7,8,3,6,5,4]=>[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]
[4,3,2,1,5,8,6,7]=>[7,6,8,5,1,2,3,4]=>[1,2,7,8,6,3,5,4]=>[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]
[7,8,5,6,1,2,4,3]=>[3,4,2,1,6,5,8,7]=>[3,2,6,4,8,5,1,7]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[7,8,4,1,6,2,5,3]=>[3,5,2,6,1,4,8,7]=>[3,2,5,8,4,6,1,7]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]
[7,8,1,4,6,2,5,3]=>[3,5,2,6,4,1,8,7]=>[3,2,5,4,1,8,6,7]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[6,1,8,4,7,2,5,3]=>[3,5,2,7,4,8,1,6]=>[3,5,2,4,1,7,6,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[1,6,8,4,7,2,5,3]=>[3,5,2,7,4,8,6,1]=>[3,2,1,5,4,7,6,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[1,6,8,3,2,7,5,4]=>[4,5,7,2,3,8,6,1]=>[4,2,1,5,7,3,6,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[6,1,8,3,2,7,5,4]=>[4,5,7,2,3,8,1,6]=>[4,5,2,3,7,1,6,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[7,8,1,3,2,6,5,4]=>[4,5,6,2,3,1,8,7]=>[4,2,5,3,8,1,6,7]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[7,8,3,1,2,6,5,4]=>[4,5,6,2,1,3,8,7]=>[4,2,5,8,3,1,6,7]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]
[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]=>[2,1,5,4,3,6,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[7,8,2,4,6,1,5,3]=>[3,5,1,6,4,2,8,7]=>[3,1,5,4,2,8,6,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[7,8,2,3,1,6,5,4]=>[4,5,6,1,3,2,8,7]=>[4,1,5,3,8,2,6,7]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[7,8,2,1,3,6,5,4]=>[4,5,6,3,1,2,8,7]=>[4,1,5,8,3,2,6,7]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[7,8,1,2,3,6,5,4]=>[4,5,6,3,2,1,8,7]=>[4,3,8,5,2,1,6,7]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]
[6,1,8,2,3,7,5,4]=>[4,5,7,3,2,8,1,6]=>[4,7,3,5,2,1,6,8]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]
[1,6,8,2,3,7,5,4]=>[4,5,7,3,2,8,6,1]=>[4,3,2,7,5,1,6,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[1,5,2,8,3,7,6,4]=>[4,6,7,3,8,2,5,1]=>[4,3,6,2,5,1,7,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[5,1,2,8,3,7,6,4]=>[4,6,7,3,8,2,1,5]=>[4,6,3,2,5,1,7,8]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]
[5,2,1,8,3,7,6,4]=>[4,6,7,3,8,1,2,5]=>[4,6,7,1,3,2,5,8]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[6,2,8,1,3,7,5,4]=>[4,5,7,3,1,8,2,6]=>[4,5,1,7,3,2,6,8]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[6,2,8,3,1,7,5,4]=>[4,5,7,1,3,8,2,6]=>[4,5,1,3,7,2,6,8]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[6,2,8,4,7,1,5,3]=>[3,5,1,7,4,8,2,6]=>[3,5,1,4,2,7,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[6,3,8,4,7,5,1,2]=>[2,1,5,7,4,8,3,6]=>[2,5,1,4,3,7,8,6]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]
[3,6,8,4,7,5,1,2]=>[2,1,5,7,4,8,6,3]=>[5,2,1,4,3,7,8,6]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]
[2,6,8,4,7,1,5,3]=>[3,5,1,7,4,8,6,2]=>[5,3,1,4,2,7,6,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[2,6,8,3,1,7,5,4]=>[4,5,7,1,3,8,6,2]=>[4,3,1,5,7,2,6,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[2,6,8,1,3,7,5,4]=>[4,5,7,3,1,8,6,2]=>[4,3,1,7,5,2,6,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[2,5,1,8,3,7,6,4]=>[4,6,7,3,8,1,5,2]=>[4,3,6,1,5,2,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[1,2,5,8,3,7,6,4]=>[4,6,7,3,8,5,2,1]=>[4,3,2,1,6,5,7,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[2,4,1,3,8,7,6,5]=>[5,6,7,8,3,1,4,2]=>[5,3,6,4,1,2,7,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[2,5,3,8,1,7,6,4]=>[4,6,7,1,8,3,5,2]=>[4,3,6,1,7,2,5,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[2,5,4,8,7,1,6,3]=>[3,6,1,7,8,4,5,2]=>[6,3,4,1,2,7,5,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[3,5,4,8,7,6,1,2]=>[2,1,6,7,8,4,5,3]=>[6,2,4,1,3,7,8,5]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]
[5,3,4,8,7,6,1,2]=>[2,1,6,7,8,4,3,5]=>[2,6,4,1,3,7,8,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[5,2,4,8,7,1,6,3]=>[3,6,1,7,8,4,2,5]=>[3,6,4,1,2,7,5,8]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[5,2,3,8,1,7,6,4]=>[4,6,7,1,8,3,2,5]=>[4,6,3,1,7,2,5,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[4,2,1,3,8,7,6,5]=>[5,6,7,8,3,1,2,4]=>[5,6,7,3,1,2,4,8]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[4,1,2,3,8,7,6,5]=>[5,6,7,8,3,2,1,4]=>[5,6,3,2,1,4,7,8]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[1,4,2,3,8,7,6,5]=>[5,6,7,8,3,2,4,1]=>[5,3,6,2,1,4,7,8]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[4,1,3,2,8,7,6,5]=>[5,6,7,8,2,3,1,4]=>[5,6,2,7,1,3,4,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[4,3,1,2,8,7,6,5]=>[5,6,7,8,2,1,3,4]=>[5,6,7,2,1,3,4,8]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[6,3,8,1,2,7,5,4]=>[4,5,7,2,1,8,3,6]=>[4,5,2,7,3,1,6,8]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]
[5,3,1,8,2,7,6,4]=>[4,6,7,2,8,1,3,5]=>[4,6,7,2,3,1,5,8]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[5,1,3,8,2,7,6,4]=>[4,6,7,2,8,3,1,5]=>[4,6,2,1,7,3,5,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[1,5,3,8,2,7,6,4]=>[4,6,7,2,8,3,5,1]=>[4,2,6,1,7,3,5,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[1,5,4,8,7,2,6,3]=>[3,6,2,7,8,4,5,1]=>[3,2,6,1,4,7,5,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[5,1,4,8,7,2,6,3]=>[3,6,2,7,8,4,1,5]=>[3,6,2,1,4,7,5,8]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]
[5,4,1,8,7,2,6,3]=>[3,6,2,7,8,1,4,5]=>[3,6,7,2,4,5,1,8]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]
[6,4,8,1,7,2,5,3]=>[3,5,2,7,1,8,4,6]=>[3,5,2,7,4,6,1,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[6,5,8,7,1,2,4,3]=>[3,4,2,1,7,8,5,6]=>[3,7,2,4,8,5,1,6]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]
[5,6,8,7,3,4,1,2]=>[2,1,4,3,7,8,6,5]=>[7,2,1,4,6,3,8,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[5,6,8,7,2,1,4,3]=>[3,4,1,2,7,8,6,5]=>[7,3,1,4,6,8,2,5]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[4,5,1,8,7,2,6,3]=>[3,6,2,7,8,1,5,4]=>[3,2,6,1,5,7,4,8]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[4,1,5,8,7,2,6,3]=>[3,6,2,7,8,5,1,4]=>[3,6,2,1,5,7,4,8]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[1,4,5,8,7,2,6,3]=>[3,6,2,7,8,5,4,1]=>[6,3,2,1,5,7,4,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[1,3,5,8,2,7,6,4]=>[4,6,7,2,8,5,3,1]=>[6,4,2,1,5,3,7,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[3,1,5,8,2,7,6,4]=>[4,6,7,2,8,5,1,3]=>[4,6,2,1,5,3,7,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[3,6,8,1,2,7,5,4]=>[4,5,7,2,1,8,6,3]=>[4,2,1,7,5,3,6,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[3,6,8,2,1,7,5,4]=>[4,5,7,1,2,8,6,3]=>[7,4,1,5,6,2,3,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[4,6,8,2,7,1,5,3]=>[3,5,1,7,2,8,6,4]=>[7,3,1,5,2,6,4,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[4,6,8,3,7,5,1,2]=>[2,1,5,7,3,8,6,4]=>[7,2,1,5,3,6,8,4]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]
[4,5,3,8,7,6,1,2]=>[2,1,6,7,8,3,5,4]=>[6,2,5,1,3,7,8,4]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]
[4,5,2,8,7,1,6,3]=>[3,6,1,7,8,2,5,4]=>[6,3,5,1,2,7,4,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[3,5,2,8,1,7,6,4]=>[4,6,7,1,8,2,5,3]=>[6,4,5,1,7,2,3,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[3,1,4,2,8,7,6,5]=>[5,6,7,8,2,4,1,3]=>[5,6,2,4,1,3,7,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[3,1,2,4,8,7,6,5]=>[5,6,7,8,4,2,1,3]=>[5,6,4,2,1,3,7,8]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[3,2,5,8,1,7,6,4]=>[4,6,7,1,8,5,2,3]=>[4,6,5,1,7,2,3,8]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[4,2,5,8,7,1,6,3]=>[3,6,1,7,8,5,2,4]=>[3,6,5,1,2,7,4,8]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[4,3,5,8,7,6,1,2]=>[2,1,6,7,8,5,3,4]=>[2,6,5,1,3,7,8,4]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[3,4,5,8,7,6,1,2]=>[2,1,6,7,8,5,4,3]=>[6,5,2,1,4,7,8,3]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]
[2,4,5,8,7,1,6,3]=>[3,6,1,7,8,5,4,2]=>[6,5,3,1,4,7,2,8]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[2,3,5,8,1,7,6,4]=>[4,6,7,1,8,5,3,2]=>[6,4,3,1,5,2,7,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[4,1,3,2,6,5,8,7]=>[7,8,5,6,2,3,1,4]=>[2,7,5,8,3,6,1,4]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[6,1,3,2,5,4,8,7]=>[7,8,4,5,2,3,1,6]=>[4,7,5,8,2,6,1,3]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[8,1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1,8]=>[6,7,4,8,2,5,1,3]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[8,1,4,2,5,3,7,6]=>[6,7,3,5,2,4,1,8]=>[6,7,3,8,2,5,1,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[6,1,4,2,5,3,8,7]=>[7,8,3,5,2,4,1,6]=>[3,7,5,8,2,6,1,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[5,1,4,2,6,3,8,7]=>[7,8,3,6,2,4,1,5]=>[3,7,4,8,2,6,1,5]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[2,1,6,3,5,4,8,7]=>[7,8,4,5,3,6,1,2]=>[7,8,4,5,3,6,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[3,1,6,2,5,4,8,7]=>[7,8,4,5,2,6,1,3]=>[7,8,4,5,2,6,1,3]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[4,1,6,2,5,3,8,7]=>[7,8,3,5,2,6,1,4]=>[7,8,3,5,2,6,1,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[6,2,5,1,4,3,8,7]=>[7,8,3,4,1,5,2,6]=>[3,7,4,8,5,6,1,2]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[5,2,6,1,4,3,8,7]=>[7,8,3,4,1,6,2,5]=>[3,7,1,8,4,6,2,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[5,2,8,1,4,3,7,6]=>[6,7,3,4,1,8,2,5]=>[6,7,3,8,4,5,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[6,2,8,1,4,3,7,5]=>[5,7,3,4,1,8,2,6]=>[5,7,3,8,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[7,2,6,1,4,3,8,5]=>[5,8,3,4,1,6,2,7]=>[3,5,4,8,6,7,1,2]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[7,2,5,1,4,3,8,6]=>[6,8,3,4,1,5,2,7]=>[3,6,4,8,5,7,1,2]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[4,1,7,2,5,3,8,6]=>[6,8,3,5,2,7,1,4]=>[6,8,3,5,2,7,1,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[3,1,7,2,5,4,8,6]=>[6,8,4,5,2,7,1,3]=>[6,8,4,5,2,7,1,3]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[2,1,7,3,5,4,8,6]=>[6,8,4,5,3,7,1,2]=>[6,8,4,5,3,7,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[2,1,8,3,5,4,7,6]=>[6,7,4,5,3,8,1,2]=>[6,7,4,5,3,8,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[3,1,8,2,5,4,7,6]=>[6,7,4,5,2,8,1,3]=>[6,7,4,5,2,8,1,3]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[4,1,8,2,5,3,7,6]=>[6,7,3,5,2,8,1,4]=>[6,7,3,5,2,8,1,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[8,2,5,1,4,3,7,6]=>[6,7,3,4,1,5,2,8]=>[3,6,4,7,5,8,1,2]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[8,2,6,1,4,3,7,5]=>[5,7,3,4,1,6,2,8]=>[3,5,4,7,6,8,1,2]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[7,1,4,3,8,2,6,5]=>[5,6,2,8,3,4,1,7]=>[2,5,3,6,1,8,4,7]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[8,1,4,3,7,2,6,5]=>[5,6,2,7,3,4,1,8]=>[5,6,2,7,1,8,3,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[8,1,5,3,7,2,6,4]=>[4,6,2,7,3,5,1,8]=>[4,6,2,7,1,8,3,5]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[5,1,8,2,6,3,7,4]=>[4,7,3,6,2,8,1,5]=>[4,7,3,6,2,8,1,5]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[4,1,8,2,6,3,7,5]=>[5,7,3,6,2,8,1,4]=>[5,7,3,6,2,8,1,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[3,1,8,2,6,4,7,5]=>[5,7,4,6,2,8,1,3]=>[5,7,4,6,2,8,1,3]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[2,1,8,3,6,4,7,5]=>[5,7,4,6,3,8,1,2]=>[5,7,4,6,3,8,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[2,1,7,3,6,4,8,5]=>[5,8,4,6,3,7,1,2]=>[5,8,4,6,3,7,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[4,1,7,2,6,3,8,5]=>[5,8,3,6,2,7,1,4]=>[5,8,3,6,2,7,1,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[5,1,7,2,6,3,8,4]=>[4,8,3,6,2,7,1,5]=>[4,8,3,6,2,7,1,5]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[7,2,6,1,5,3,8,4]=>[4,8,3,5,1,6,2,7]=>[4,5,3,8,6,7,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[6,2,8,1,5,3,7,4]=>[4,7,3,5,1,8,2,6]=>[4,7,3,8,5,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[8,1,5,2,6,3,7,4]=>[4,7,3,6,2,5,1,8]=>[4,7,3,8,2,6,1,5]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[6,1,5,2,7,3,8,4]=>[4,8,3,7,2,5,1,6]=>[4,5,3,8,2,7,1,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[8,1,4,2,6,3,7,5]=>[5,7,3,6,2,4,1,8]=>[5,7,3,8,2,6,1,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[8,1,3,2,6,4,7,5]=>[5,7,4,6,2,3,1,8]=>[5,7,4,8,2,6,1,3]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[7,1,3,2,6,4,8,5]=>[5,8,4,6,2,3,1,7]=>[5,6,4,8,2,7,1,3]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[5,1,3,2,7,4,8,6]=>[6,8,4,7,2,3,1,5]=>[2,6,4,8,3,7,1,5]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[4,1,3,2,7,5,8,6]=>[6,8,5,7,2,3,1,4]=>[2,6,5,8,3,7,1,4]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[4,1,3,2,8,5,7,6]=>[6,7,5,8,2,3,1,4]=>[6,7,5,8,2,3,1,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[5,1,3,2,8,4,7,6]=>[6,7,4,8,2,3,1,5]=>[6,7,4,8,2,3,1,5]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[6,1,3,2,8,4,7,5]=>[5,7,4,8,2,3,1,6]=>[5,7,4,8,2,3,1,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[8,4,7,1,3,2,6,5]=>[5,6,2,3,1,7,4,8]=>[5,6,2,7,3,8,1,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[8,3,7,1,4,2,6,5]=>[5,6,2,4,1,7,3,8]=>[5,6,2,7,4,8,1,3]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[6,1,4,2,8,3,7,5]=>[5,7,3,8,2,4,1,6]=>[5,7,3,8,2,4,1,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[5,1,4,2,8,3,7,6]=>[6,7,3,8,2,4,1,5]=>[6,7,3,8,2,4,1,5]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[4,1,5,2,8,3,7,6]=>[6,7,3,8,2,5,1,4]=>[6,7,3,5,2,4,1,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[3,1,5,2,8,4,7,6]=>[6,7,4,8,2,5,1,3]=>[6,7,4,5,2,3,1,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[3,1,6,2,8,4,7,5]=>[5,7,4,8,2,6,1,3]=>[5,7,4,6,2,3,1,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[4,1,6,2,8,3,7,5]=>[5,7,3,8,2,6,1,4]=>[5,7,3,6,2,4,1,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[5,1,6,2,8,3,7,4]=>[4,7,3,8,2,6,1,5]=>[4,7,3,6,2,5,1,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[6,1,5,2,8,3,7,4]=>[4,7,3,8,2,5,1,6]=>[4,7,3,8,2,5,1,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[8,3,7,1,5,2,6,4]=>[4,6,2,5,1,7,3,8]=>[4,6,2,7,5,8,1,3]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[7,3,8,1,5,2,6,4]=>[4,6,2,5,1,8,3,7]=>[4,6,2,8,5,7,1,3]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[6,2,8,3,7,1,5,4]=>[4,5,1,7,3,8,2,6]=>[4,5,1,3,2,7,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[8,3,7,2,6,1,5,4]=>[4,5,1,6,2,7,3,8]=>[4,5,1,6,2,7,3,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[3,1,8,4,7,2,6,5]=>[5,6,2,7,4,8,1,3]=>[5,6,2,4,1,7,3,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,1,8,4,7,3,6,5]=>[5,6,3,7,4,8,1,2]=>[5,6,3,4,1,7,2,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,1,7,4,8,3,6,5]=>[5,6,3,8,4,7,1,2]=>[5,6,3,4,1,8,2,7]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[4,1,7,3,8,2,6,5]=>[5,6,2,8,3,7,1,4]=>[5,8,2,6,1,7,3,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[5,1,7,3,8,2,6,4]=>[4,6,2,8,3,7,1,5]=>[4,8,2,6,1,7,3,5]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[8,2,6,3,7,1,5,4]=>[4,5,1,7,3,6,2,8]=>[4,5,3,7,1,8,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[7,2,6,3,8,1,5,4]=>[4,5,1,8,3,6,2,7]=>[4,5,3,6,1,8,2,7]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[3,4,2,6,8,1,5,7]=>[7,5,1,8,6,2,4,3]=>[7,1,5,4,2,8,6,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[5,3,6,2,8,1,4,7]=>[7,4,1,8,2,6,3,5]=>[1,7,2,4,3,8,6,5]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]
[5,7,3,8,2,4,1,6]=>[6,1,4,2,8,3,7,5]=>[6,1,4,2,8,3,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,7,3,8,2,4,6,1]=>[1,6,4,2,8,3,7,5]=>[6,1,4,2,8,7,3,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[7,4,2,5,8,3,6,1]=>[1,6,3,8,5,2,4,7]=>[1,6,8,3,2,5,4,7]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[7,4,2,5,8,3,1,6]=>[6,1,3,8,5,2,4,7]=>[1,6,8,3,2,5,7,4]=>[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]
[4,5,2,6,3,8,1,7]=>[7,1,8,3,6,2,5,4]=>[7,6,8,1,3,2,5,4]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[5,3,1,6,8,2,4,7]=>[7,4,2,8,6,1,3,5]=>[2,7,8,4,3,6,5,1]=>[[.,[[[.,[.,.]],.],[[.,.],.]]],.]
[5,6,2,8,1,3,4,7]=>[7,4,3,1,8,2,6,5]=>[7,1,4,3,8,6,5,2]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]
[4,5,1,6,3,8,2,7]=>[7,2,8,3,6,1,5,4]=>[7,6,8,2,3,1,5,4]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[4,5,6,3,2,8,1,7]=>[7,1,8,2,3,6,5,4]=>[7,6,1,2,5,3,8,4]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[7,4,5,3,8,2,1,6]=>[6,1,2,8,3,5,4,7]=>[1,6,2,5,3,4,8,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]
[7,4,5,3,8,2,6,1]=>[1,6,2,8,3,5,4,7]=>[1,6,2,5,3,8,4,7]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,7,4,8,3,2,5,1]=>[1,5,2,3,8,4,7,6]=>[8,1,5,2,3,7,4,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[7,4,5,3,1,8,2,6]=>[6,2,8,1,3,5,4,7]=>[2,6,3,5,8,1,7,4]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[4,7,1,5,8,3,2,6]=>[6,2,3,8,5,1,7,4]=>[6,2,8,3,1,5,7,4]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[7,3,5,8,1,4,6,2]=>[2,6,4,1,8,5,3,7]=>[2,6,4,1,8,5,3,7]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[6,7,4,8,3,5,2,1]=>[1,2,5,3,8,4,7,6]=>[8,1,5,2,7,3,4,6]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,6,7,3,8,4,2,1]=>[1,2,4,8,3,7,6,5]=>[8,7,4,6,1,2,3,5]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[5,6,7,3,1,8,4,2]=>[2,4,8,1,3,7,6,5]=>[8,7,2,4,6,1,3,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[5,6,1,7,3,8,4,2]=>[2,4,8,3,7,1,6,5]=>[8,4,7,2,6,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[5,1,6,7,3,8,4,2]=>[2,4,8,3,7,6,1,5]=>[4,8,7,2,6,1,3,5]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]
[6,7,2,8,4,5,1,3]=>[3,1,5,4,8,2,7,6]=>[5,3,8,1,4,2,7,6]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[6,7,2,8,4,1,3,5]=>[5,3,1,4,8,2,7,6]=>[5,3,4,1,2,8,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[5,6,1,7,3,2,8,4]=>[4,8,2,3,7,1,6,5]=>[8,4,7,2,3,6,1,5]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[5,6,7,3,2,1,8,4]=>[4,8,1,2,3,7,6,5]=>[8,7,1,2,4,6,3,5]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]
[5,6,7,3,2,8,4,1]=>[1,4,8,2,3,7,6,5]=>[8,7,1,4,6,2,3,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[5,6,2,7,3,8,4,1]=>[1,4,8,3,7,2,6,5]=>[8,4,7,3,6,1,2,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[5,6,2,7,3,1,8,4]=>[4,8,1,3,7,2,6,5]=>[8,4,7,1,3,6,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[5,6,2,1,7,3,8,4]=>[4,8,3,7,1,2,6,5]=>[8,1,4,7,3,6,2,5]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[6,7,2,1,8,3,4,5]=>[5,4,3,8,1,2,7,6]=>[5,1,4,8,3,7,6,2]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]
[7,5,8,2,1,3,4,6]=>[6,4,3,1,2,8,5,7]=>[1,6,4,5,8,7,3,2]=>[.,[[[[.,.],[.,[[.,.],.]]],.],.]]
[5,7,3,1,8,2,4,6]=>[6,4,2,8,1,3,7,5]=>[6,2,4,8,3,7,5,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[4,7,1,5,2,8,3,6]=>[6,3,8,2,5,1,7,4]=>[6,3,8,5,7,2,4,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[6,7,4,2,1,8,3,5]=>[5,3,8,1,2,4,7,6]=>[5,1,3,4,8,2,7,6]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[6,7,4,2,8,3,1,5]=>[5,1,3,8,2,4,7,6]=>[5,1,3,8,2,4,7,6]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[6,7,4,2,8,3,5,1]=>[1,5,3,8,2,4,7,6]=>[5,1,3,8,2,7,4,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[3,6,7,2,8,4,5,1]=>[1,5,4,8,2,7,6,3]=>[8,5,4,7,1,6,2,3]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[3,6,7,2,8,4,1,5]=>[5,1,4,8,2,7,6,3]=>[8,5,4,7,1,2,6,3]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[3,6,7,2,1,8,4,5]=>[5,4,8,1,2,7,6,3]=>[8,5,1,4,7,2,6,3]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[3,4,7,8,2,6,1,5]=>[5,1,6,2,8,7,4,3]=>[8,5,4,1,6,2,7,3]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[5,7,3,8,2,6,1,4]=>[4,1,6,2,8,3,7,5]=>[8,1,4,2,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[3,6,7,8,5,2,1,4]=>[4,1,2,5,8,7,6,3]=>[8,7,4,1,2,5,6,3]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]
[3,6,7,8,5,2,4,1]=>[1,4,2,5,8,7,6,3]=>[8,7,4,1,2,5,3,6]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[6,4,7,8,2,5,3,1]=>[1,3,5,2,8,7,4,6]=>[3,8,5,1,7,2,4,6]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[6,4,7,8,2,1,5,3]=>[3,5,1,2,8,7,4,6]=>[1,8,3,2,5,7,4,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[5,3,7,8,1,6,2,4]=>[4,2,6,1,8,7,3,5]=>[4,6,2,1,8,3,7,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[6,7,2,8,5,1,3,4]=>[4,3,1,5,8,2,7,6]=>[4,3,5,1,2,8,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[6,4,1,7,8,2,5,3]=>[3,5,2,8,7,1,4,6]=>[3,5,8,2,1,7,4,6]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[5,6,2,1,7,8,4,3]=>[3,4,8,7,1,2,6,5]=>[8,3,4,7,6,1,2,5]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]
[5,6,2,7,1,8,4,3]=>[3,4,8,1,7,2,6,5]=>[8,3,7,4,6,1,2,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[5,6,2,7,8,4,3,1]=>[1,3,4,8,7,2,6,5]=>[8,3,7,6,1,2,4,5]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[5,6,7,2,8,4,3,1]=>[1,3,4,8,2,7,6,5]=>[8,7,3,6,1,2,4,5]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[5,6,7,2,1,8,4,3]=>[3,4,8,1,2,7,6,5]=>[8,7,3,4,6,1,2,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[5,6,1,7,2,8,4,3]=>[3,4,8,2,7,1,6,5]=>[8,3,7,2,6,1,4,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[5,1,6,7,2,8,4,3]=>[3,4,8,2,7,6,1,5]=>[3,8,7,2,6,1,4,5]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]
[6,4,7,1,8,2,5,3]=>[3,5,2,8,1,7,4,6]=>[3,5,2,8,1,7,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[3,6,7,1,8,5,2,4]=>[4,2,5,8,1,7,6,3]=>[8,4,2,7,1,5,6,3]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]
[6,7,8,3,5,1,4,2]=>[2,4,1,5,3,8,7,6]=>[8,2,1,4,3,7,5,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[4,6,7,8,1,5,3,2]=>[2,3,5,1,8,7,6,4]=>[8,7,2,1,5,3,4,6]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[5,1,6,7,8,4,3,2]=>[2,3,4,8,7,6,1,5]=>[2,8,7,6,1,3,4,5]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]
[5,6,1,7,8,4,3,2]=>[2,3,4,8,7,1,6,5]=>[8,2,7,6,1,3,4,5]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[5,6,7,1,8,4,3,2]=>[2,3,4,8,1,7,6,5]=>[8,7,2,6,1,3,4,5]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[8,5,3,6,2,4,1,7]=>[7,1,4,2,6,3,5,8]=>[1,2,4,3,7,6,8,5]=>[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]
[2,4,5,3,7,1,8,6]=>[6,8,1,7,3,5,4,2]=>[8,6,1,5,3,7,2,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[8,2,4,5,6,1,3,7]=>[7,3,1,6,5,4,2,8]=>[3,7,6,5,1,8,4,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]
[8,4,1,5,6,3,2,7]=>[7,2,3,6,5,1,4,8]=>[2,3,7,6,1,5,8,4]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[8,1,4,5,6,3,2,7]=>[7,2,3,6,5,4,1,8]=>[2,7,6,5,3,4,8,1]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[4,5,3,7,2,1,8,6]=>[6,8,1,2,7,3,5,4]=>[8,1,6,2,5,7,3,4]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[7,4,5,8,3,2,6,1]=>[1,6,2,3,8,5,4,7]=>[1,6,5,2,3,8,4,7]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[4,3,6,7,2,8,5,1]=>[1,5,8,2,7,6,3,4]=>[1,8,7,5,6,2,3,4]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[4,5,3,7,1,8,2,6]=>[6,2,8,1,7,3,5,4]=>[8,2,6,3,7,1,5,4]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[4,1,5,3,7,2,8,6]=>[6,8,2,7,3,5,1,4]=>[6,8,2,7,3,5,1,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[5,3,4,7,1,2,8,6]=>[6,8,2,1,7,4,3,5]=>[2,8,6,4,7,5,1,3]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]
[7,5,3,8,4,1,6,2]=>[2,6,1,4,8,3,5,7]=>[2,4,6,1,5,8,3,7]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[7,4,5,8,3,6,1,2]=>[2,1,6,3,8,5,4,7]=>[2,6,3,1,5,4,8,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[4,3,6,7,8,1,5,2]=>[2,5,1,8,7,6,3,4]=>[2,8,7,5,1,6,3,4]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[1,6,4,7,8,3,5,2]=>[2,5,3,8,7,4,6,1]=>[8,2,5,3,1,7,4,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[6,4,7,8,3,5,2,1]=>[1,2,5,3,8,7,4,6]=>[1,8,5,2,7,3,4,6]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[3,1,5,6,7,8,4,2]=>[2,4,8,7,6,5,1,3]=>[2,8,7,6,4,1,3,5]=>[[.,[[[[.,.],.],.],.]],[.,[.,.]]]
[4,6,1,7,8,3,5,2]=>[2,5,3,8,7,1,6,4]=>[8,5,7,2,1,6,3,4]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[3,6,7,1,4,8,5,2]=>[2,5,8,4,1,7,6,3]=>[8,5,2,7,4,1,3,6]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[2,6,7,1,4,8,3,5]=>[5,3,8,4,1,7,6,2]=>[8,5,3,7,4,1,6,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[4,3,6,7,8,1,2,5]=>[5,2,1,8,7,6,3,4]=>[2,8,5,3,1,7,6,4]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]
[3,5,6,7,8,2,1,4]=>[4,1,2,8,7,6,5,3]=>[8,7,6,4,1,2,5,3]=>[[[[[.,.],.],.],.],[.,[[.,.],.]]]
[3,5,6,7,8,2,4,1]=>[1,4,2,8,7,6,5,3]=>[8,7,6,4,1,5,2,3]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[5,2,7,1,3,8,4,6]=>[6,4,8,3,1,7,2,5]=>[1,6,4,8,7,3,5,2]=>[.,[[[[.,.],[[.,.],.]],[.,.]],.]]
[5,3,1,7,8,2,4,6]=>[6,4,2,8,7,1,3,5]=>[2,6,8,4,3,7,5,1]=>[[.,[[[.,[.,.]],.],[[.,.],.]]],.]
[3,6,2,7,4,8,1,5]=>[5,1,8,4,7,2,6,3]=>[8,5,7,1,4,2,6,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,2,1,6,4,7,8,5]=>[5,8,7,4,6,1,2,3]=>[1,5,8,4,7,6,2,3]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[4,7,2,1,3,5,8,6]=>[6,8,5,3,1,2,7,4]=>[6,1,5,8,7,3,2,4]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[7,8,1,3,4,2,6,5]=>[5,6,2,4,3,1,8,7]=>[5,2,6,4,3,8,1,7]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[7,8,3,4,2,1,6,5]=>[5,6,1,2,4,3,8,7]=>[5,1,6,2,4,8,3,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[6,3,2,7,1,8,5,4]=>[4,5,8,1,7,2,3,6]=>[1,4,8,5,7,2,3,6]=>[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]
[6,7,3,8,2,5,4,1]=>[1,4,5,2,8,3,7,6]=>[8,4,5,1,7,2,3,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[4,6,2,7,8,1,5,3]=>[3,5,1,8,7,2,6,4]=>[8,3,7,5,1,6,2,4]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[7,4,5,8,6,2,1,3]=>[3,1,2,6,8,5,4,7]=>[3,6,5,1,2,4,8,7]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[7,4,1,5,8,6,2,3]=>[3,2,6,8,5,1,4,7]=>[3,6,8,2,1,5,7,4]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]
[7,5,3,8,6,1,2,4]=>[4,2,1,6,8,3,5,7]=>[2,4,6,3,5,8,7,1]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[7,5,8,2,1,6,3,4]=>[4,3,6,1,2,8,5,7]=>[1,4,3,6,8,5,7,2]=>[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]
[6,3,1,7,8,2,5,4]=>[4,5,2,8,7,1,3,6]=>[4,5,8,2,1,7,3,6]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[4,6,1,7,8,5,2,3]=>[3,2,5,8,7,1,6,4]=>[8,3,7,2,1,5,6,4]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]
[5,1,2,6,7,8,4,3]=>[3,4,8,7,6,2,1,5]=>[3,8,7,6,2,1,4,5]=>[[[.,[[[.,.],.],.]],.],[.,[.,.]]]
[5,2,6,7,8,4,1,3]=>[3,1,4,8,7,6,2,5]=>[3,8,7,4,1,2,6,5]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[5,2,6,7,8,4,3,1]=>[1,3,4,8,7,6,2,5]=>[3,8,7,6,1,2,4,5]=>[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]
[1,5,2,6,7,8,4,3]=>[3,4,8,7,6,2,5,1]=>[8,3,7,6,2,1,4,5]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]
[1,6,4,7,8,5,2,3]=>[3,2,5,8,7,4,6,1]=>[8,3,5,2,1,4,7,6]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]
[2,6,7,1,3,8,5,4]=>[4,5,8,3,1,7,6,2]=>[8,4,3,7,5,1,2,6]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[6,7,8,2,1,5,4,3]=>[3,4,5,1,2,8,7,6]=>[8,3,1,4,7,2,5,6]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[6,7,3,8,5,1,4,2]=>[2,4,1,5,8,3,7,6]=>[8,2,4,1,3,7,5,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[6,4,3,7,2,5,1,8]=>[8,1,5,2,7,3,4,6]=>[1,2,5,3,8,4,7,6]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[1,5,6,3,4,8,7,2]=>[2,7,8,4,3,6,5,1]=>[7,4,2,8,6,1,3,5]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[4,6,2,7,3,5,1,8]=>[8,1,5,3,7,2,6,4]=>[5,3,8,1,7,2,6,4]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,2,6,7,4,5,1,8]=>[8,1,5,4,7,6,2,3]=>[5,8,4,1,7,2,6,3]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[4,7,2,6,5,3,1,8]=>[8,1,3,5,6,2,7,4]=>[3,1,8,2,5,6,7,4]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]
[5,7,6,2,4,3,1,8]=>[8,1,3,4,2,6,7,5]=>[3,1,2,8,4,6,7,5]=>[[.,.],[.,[[.,.],[[.,[.,.]],.]]]]
[1,7,5,4,8,3,6,2]=>[2,6,3,8,4,5,7,1]=>[6,2,3,4,1,8,5,7]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[8,7,5,4,1,3,2,6]=>[6,2,3,1,4,5,7,8]=>[2,3,4,6,7,5,8,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[3,2,8,6,5,1,4,7]=>[7,4,1,5,6,8,2,3]=>[4,5,1,2,7,8,6,3]=>[[.,[.,.]],[.,[[[.,[.,.]],.],.]]]
[4,1,2,6,5,8,7,3]=>[3,7,8,5,6,2,1,4]=>[7,8,3,2,5,1,4,6]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]
[5,1,6,2,4,8,7,3]=>[3,7,8,4,2,6,1,5]=>[7,8,3,6,2,1,4,5]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]
[6,1,5,4,2,8,7,3]=>[3,7,8,2,4,5,1,6]=>[3,4,2,7,8,1,5,6]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[8,1,5,4,7,6,2,3]=>[3,2,6,7,4,5,1,8]=>[3,6,2,7,1,4,8,5]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[8,1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1,8]=>[3,5,2,1,7,4,8,6]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[7,1,6,8,4,2,5,3]=>[3,5,2,4,8,6,1,7]=>[3,5,2,1,6,8,4,7]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[5,1,7,2,8,4,6,3]=>[3,6,4,8,2,7,1,5]=>[6,8,3,7,2,4,1,5]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[3,2,8,7,1,5,4,6]=>[6,4,5,1,7,8,2,3]=>[4,6,1,2,7,5,8,3]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]
[4,8,2,7,1,5,3,6]=>[6,3,5,1,7,2,8,4]=>[3,1,6,2,7,5,8,4]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]
[5,8,7,2,1,4,3,6]=>[6,3,4,1,2,7,8,5]=>[3,1,6,7,8,4,5,2]=>[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]
[8,7,6,1,4,3,2,5]=>[5,2,3,4,1,6,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,7,6,8,4,3,5,2]=>[2,5,3,4,8,6,7,1]=>[5,2,3,1,4,8,6,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[1,6,7,8,3,4,5,2]=>[2,5,4,3,8,7,6,1]=>[5,4,2,1,8,7,3,6]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[8,6,7,1,3,4,2,5]=>[5,2,4,3,1,7,6,8]=>[2,5,4,7,6,3,8,1]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[7,6,8,1,3,2,4,5]=>[5,4,2,3,1,8,6,7]=>[2,5,4,8,6,7,3,1]=>[[.,[[[.,.],[[.,.],[.,.]]],.]],.]
[5,7,8,2,1,3,4,6]=>[6,4,3,1,2,8,7,5]=>[6,4,1,3,8,7,5,2]=>[[[.,.],.],[[.,[[[.,.],.],.]],.]]
[4,7,2,8,1,3,5,6]=>[6,5,3,1,8,2,7,4]=>[6,1,5,3,8,7,4,2]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]
[4,6,2,8,3,1,5,7]=>[7,5,1,3,8,2,6,4]=>[7,5,8,1,3,6,4,2]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[6,5,8,3,2,1,4,7]=>[7,4,1,2,3,8,5,6]=>[1,7,2,4,5,8,6,3]=>[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]
[7,5,8,3,1,2,4,6]=>[6,4,2,1,3,8,5,7]=>[2,6,4,5,8,7,3,1]=>[[.,[[[.,.],[.,[[.,.],.]]],.]],.]
[1,4,3,7,8,5,6,2]=>[2,6,5,8,7,3,4,1]=>[6,5,8,2,1,7,3,4]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[6,4,3,8,2,1,5,7]=>[7,5,1,2,8,3,4,6]=>[1,2,7,3,5,8,6,4]=>[.,[.,[[.,.],[[.,[[.,.],.]],.]]]]
[4,5,2,3,8,1,6,7]=>[7,6,1,8,3,2,5,4]=>[7,1,8,3,2,6,5,4]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[3,2,5,4,8,1,6,7]=>[7,6,1,8,4,5,2,3]=>[7,8,1,4,2,6,5,3]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[6,4,3,1,2,8,7,5]=>[5,7,8,2,1,3,4,6]=>[2,5,7,8,3,1,4,6]=>[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]
[7,4,3,1,8,2,6,5]=>[5,6,2,8,1,3,4,7]=>[2,5,6,8,3,4,1,7]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]
[8,4,3,1,7,6,2,5]=>[5,2,6,7,1,3,4,8]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,5,8,3,7,6,4,2]=>[2,4,6,7,3,8,5,1]=>[4,2,1,6,3,5,7,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[7,5,1,3,8,2,6,4]=>[4,6,2,8,3,1,5,7]=>[2,4,6,3,1,8,5,7]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]
[6,5,1,3,2,8,7,4]=>[4,7,8,2,3,1,5,6]=>[2,4,7,3,8,1,5,6]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[4,6,2,1,3,8,7,5]=>[5,7,8,3,1,2,6,4]=>[5,3,7,8,6,1,2,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]
[3,2,7,1,8,4,6,5]=>[5,6,4,8,1,7,2,3]=>[5,6,4,8,1,7,2,3]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[4,7,2,1,8,3,6,5]=>[5,6,3,8,1,2,7,4]=>[5,3,6,8,1,7,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[5,7,1,2,8,3,6,4]=>[4,6,3,8,2,1,7,5]=>[4,3,8,6,2,5,1,7]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[7,6,1,8,3,2,5,4]=>[4,5,2,3,8,1,6,7]=>[4,5,6,2,3,8,1,7]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]
[8,6,1,7,3,5,2,4]=>[4,2,5,3,7,1,6,8]=>[4,5,7,2,3,1,8,6]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[1,7,8,6,5,3,4,2]=>[2,4,3,5,6,8,7,1]=>[4,2,1,3,5,8,6,7]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[8,7,1,6,5,3,2,4]=>[4,2,3,5,6,1,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[7,8,1,6,5,2,3,4]=>[4,3,2,5,6,1,8,7]=>[4,3,8,5,6,7,2,1]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[6,8,1,7,2,5,3,4]=>[4,3,5,2,7,1,8,6]=>[4,3,7,5,6,2,8,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[4,8,2,1,7,6,3,5]=>[5,3,6,7,1,2,8,4]=>[5,1,6,7,3,4,8,2]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]
[3,2,8,1,7,6,4,5]=>[5,4,6,7,1,8,2,3]=>[5,6,1,7,2,4,8,3]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]
[4,1,2,8,7,6,5,3]=>[3,5,6,7,8,2,1,4]=>[3,5,2,1,4,6,7,8]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[6,1,8,7,2,5,4,3]=>[3,4,5,2,7,8,1,6]=>[3,7,2,4,5,1,6,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[8,1,7,6,5,4,2,3]=>[3,2,4,5,6,7,1,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,1,2,6,5,8,7,4]=>[4,7,8,5,6,2,1,3]=>[7,8,4,2,5,1,3,6]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]
[4,5,1,2,3,8,7,6]=>[6,7,8,3,2,1,5,4]=>[6,3,7,5,2,1,4,8]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]
[4,6,1,2,3,8,7,5]=>[5,7,8,3,2,1,6,4]=>[5,3,7,6,2,1,4,8]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]
[1,6,5,3,4,8,7,2]=>[2,7,8,4,3,5,6,1]=>[7,2,4,8,3,1,5,6]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]
[6,1,5,2,4,8,7,3]=>[3,7,8,4,2,5,1,6]=>[3,7,4,8,2,1,5,6]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[6,5,1,2,3,8,7,4]=>[4,7,8,3,2,1,5,6]=>[4,7,8,3,2,1,5,6]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]
[6,4,1,2,3,8,7,5]=>[5,7,8,3,2,1,4,6]=>[5,7,8,3,2,1,4,6]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]
[5,4,1,2,3,8,7,6]=>[6,7,8,3,2,1,4,5]=>[6,7,8,3,2,1,4,5]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]
[6,4,1,7,2,3,5,8]=>[8,5,3,2,7,1,4,6]=>[3,5,8,4,7,6,2,1]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[6,4,1,8,2,3,5,7]=>[7,5,3,2,8,1,4,6]=>[3,7,8,5,6,4,2,1]=>[[[.,[[[.,[.,.]],[.,.]],.]],.],.]
[1,8,5,3,7,4,6,2]=>[2,6,4,7,3,5,8,1]=>[6,2,4,7,3,5,1,8]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]
[8,4,1,2,7,3,6,5]=>[5,6,3,7,2,1,4,8]=>[5,6,7,3,2,4,1,8]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]
[8,4,1,7,2,3,5,6]=>[6,5,3,2,7,1,4,8]=>[6,7,8,3,5,4,2,1]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[7,4,1,6,2,3,5,8]=>[8,5,3,2,6,1,4,7]=>[5,6,8,3,7,4,2,1]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[8,1,6,7,2,4,5,3]=>[3,5,4,2,7,6,1,8]=>[3,5,4,2,7,6,1,8]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]
[1,8,6,7,3,4,5,2]=>[2,5,4,3,7,6,8,1]=>[5,2,4,3,7,6,1,8]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[1,7,6,8,3,4,5,2]=>[2,5,4,3,8,6,7,1]=>[5,2,4,3,8,6,1,7]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[4,7,1,2,8,3,6,5]=>[5,6,3,8,2,1,7,4]=>[5,3,8,6,2,4,1,7]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[3,1,7,2,8,4,6,5]=>[5,6,4,8,2,7,1,3]=>[5,8,4,6,2,3,1,7]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[1,4,3,8,7,5,6,2]=>[2,6,5,7,8,3,4,1]=>[6,5,7,2,3,4,1,8]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[3,1,8,7,2,4,5,6]=>[6,5,4,2,7,8,1,3]=>[6,7,2,5,8,4,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[3,1,7,6,2,4,5,8]=>[8,5,4,2,6,7,1,3]=>[5,8,2,6,7,4,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[4,8,1,2,7,3,6,5]=>[5,6,3,7,2,1,8,4]=>[5,3,6,4,2,7,1,8]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[5,1,8,2,7,4,6,3]=>[3,6,4,7,2,8,1,5]=>[6,7,3,4,2,5,1,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[1,5,8,3,7,4,6,2]=>[2,6,4,7,3,8,5,1]=>[6,4,2,7,3,5,1,8]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[1,6,8,7,3,4,5,2]=>[2,5,4,3,7,8,6,1]=>[5,4,2,3,7,6,1,8]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]
[5,8,7,1,2,3,4,6]=>[6,4,3,2,1,7,8,5]=>[6,4,7,8,5,3,2,1]=>[[[[[.,.],[[.,[.,.]],.]],.],.],.]
[3,2,5,1,6,4,8,7]=>[7,8,4,6,1,5,2,3]=>[1,7,6,8,4,5,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[3,2,5,4,7,1,8,6]=>[6,8,1,7,4,5,2,3]=>[6,8,1,7,4,5,2,3]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,2,5,3,7,6,8,1]=>[1,8,6,7,3,5,2,4]=>[6,8,3,7,1,5,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[4,2,5,3,7,1,8,6]=>[6,8,1,7,3,5,2,4]=>[6,8,1,7,3,5,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,2,5,3,6,1,8,7]=>[7,8,1,6,3,5,2,4]=>[7,8,1,6,3,5,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[3,1,5,4,6,2,8,7]=>[7,8,2,6,4,5,1,3]=>[7,8,2,6,4,5,1,3]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[4,1,5,3,6,2,8,7]=>[7,8,2,6,3,5,1,4]=>[7,8,2,6,3,5,1,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[4,3,5,2,7,1,8,6]=>[6,8,1,7,2,5,3,4]=>[1,8,2,6,5,7,3,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[4,3,6,2,7,5,8,1]=>[1,8,5,7,2,6,3,4]=>[1,8,5,7,2,6,3,4]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,3,6,2,7,1,8,5]=>[5,8,1,7,2,6,3,4]=>[1,8,2,7,5,6,3,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[4,3,6,1,7,2,8,5]=>[5,8,2,7,1,6,3,4]=>[2,8,5,7,3,6,1,4]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[4,3,5,1,7,2,8,6]=>[6,8,2,7,1,5,3,4]=>[2,8,6,7,3,5,1,4]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[3,1,5,4,7,2,8,6]=>[6,8,2,7,4,5,1,3]=>[6,8,2,7,4,5,1,3]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[2,1,5,4,7,3,8,6]=>[6,8,3,7,4,5,1,2]=>[6,8,3,7,4,5,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[3,1,5,4,7,6,8,2]=>[2,8,6,7,4,5,1,3]=>[6,8,2,7,1,4,3,5]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[4,1,5,3,7,6,8,2]=>[2,8,6,7,3,5,1,4]=>[6,8,2,7,1,5,3,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[4,3,5,1,7,6,8,2]=>[2,8,6,7,1,5,3,4]=>[2,8,6,7,1,5,3,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[4,3,6,1,7,5,8,2]=>[2,8,5,7,1,6,3,4]=>[2,8,5,7,1,6,3,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[4,3,6,5,7,1,8,2]=>[2,8,1,7,5,6,3,4]=>[2,8,1,7,5,6,3,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[5,3,6,4,7,2,8,1]=>[1,8,2,7,4,6,3,5]=>[4,8,1,7,2,6,3,5]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[5,3,6,4,7,1,8,2]=>[2,8,1,7,4,6,3,5]=>[2,8,1,7,4,6,3,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[5,3,6,1,7,4,8,2]=>[2,8,4,7,1,6,3,5]=>[2,8,4,7,1,6,3,5]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[5,1,6,3,7,4,8,2]=>[2,8,4,7,3,6,1,5]=>[4,8,2,7,1,6,3,5]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[4,1,6,3,7,5,8,2]=>[2,8,5,7,3,6,1,4]=>[5,8,2,7,1,6,3,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[3,1,6,4,7,5,8,2]=>[2,8,5,7,4,6,1,3]=>[5,8,2,7,1,4,3,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,1,6,4,7,5,8,3]=>[3,8,5,7,4,6,1,2]=>[5,8,3,7,1,4,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,1,6,4,7,3,8,5]=>[5,8,3,7,4,6,1,2]=>[5,8,3,7,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[3,1,6,4,7,2,8,5]=>[5,8,2,7,4,6,1,3]=>[5,8,2,7,4,6,1,3]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[4,1,6,3,7,2,8,5]=>[5,8,2,7,3,6,1,4]=>[5,8,2,7,3,6,1,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[5,1,6,3,7,2,8,4]=>[4,8,2,7,3,6,1,5]=>[4,8,2,7,3,6,1,5]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[5,3,6,1,7,2,8,4]=>[4,8,2,7,1,6,3,5]=>[2,8,4,7,3,6,1,5]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[5,3,6,2,7,1,8,4]=>[4,8,1,7,2,6,3,5]=>[1,8,2,7,4,6,3,5]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[5,3,6,2,7,4,8,1]=>[1,8,4,7,2,6,3,5]=>[1,8,4,7,2,6,3,5]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,2,6,3,7,4,8,1]=>[1,8,4,7,3,6,2,5]=>[4,8,3,7,1,6,2,5]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[5,2,6,3,7,1,8,4]=>[4,8,1,7,3,6,2,5]=>[4,8,1,7,3,6,2,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[5,2,6,1,7,3,8,4]=>[4,8,3,7,1,6,2,5]=>[1,8,4,7,3,6,2,5]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[4,2,5,1,7,3,8,6]=>[6,8,3,7,1,5,2,4]=>[1,8,6,7,3,5,2,4]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[4,2,6,1,7,3,8,5]=>[5,8,3,7,1,6,2,4]=>[1,8,5,7,3,6,2,4]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[4,2,6,3,7,1,8,5]=>[5,8,1,7,3,6,2,4]=>[5,8,1,7,3,6,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,2,6,3,7,5,8,1]=>[1,8,5,7,3,6,2,4]=>[5,8,3,7,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[3,2,6,4,7,5,8,1]=>[1,8,5,7,4,6,2,3]=>[5,8,4,7,1,6,2,3]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[3,2,6,4,7,1,8,5]=>[5,8,1,7,4,6,2,3]=>[5,8,1,7,4,6,2,3]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[3,2,6,1,7,4,8,5]=>[5,8,4,7,1,6,2,3]=>[1,8,5,7,4,6,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[3,2,5,1,7,4,8,6]=>[6,8,4,7,1,5,2,3]=>[1,8,6,7,4,5,2,3]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[3,1,4,2,7,6,8,5]=>[5,8,6,7,2,4,1,3]=>[5,8,2,6,1,4,3,7]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[3,2,5,1,7,6,8,4]=>[4,8,6,7,1,5,2,3]=>[4,8,6,7,1,5,2,3]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[3,2,6,1,7,5,8,4]=>[4,8,5,7,1,6,2,3]=>[4,8,5,7,1,6,2,3]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[3,2,6,5,7,1,8,4]=>[4,8,1,7,5,6,2,3]=>[4,8,1,7,5,6,2,3]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,2,6,5,7,1,8,3]=>[3,8,1,7,5,6,2,4]=>[3,8,1,7,5,6,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,2,6,1,7,5,8,3]=>[3,8,5,7,1,6,2,4]=>[3,8,5,7,1,6,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[4,2,5,1,7,6,8,3]=>[3,8,6,7,1,5,2,4]=>[3,8,6,7,1,5,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[3,1,5,2,7,6,8,4]=>[4,8,6,7,2,5,1,3]=>[4,8,2,6,1,5,3,7]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,1,5,3,7,6,8,4]=>[4,8,6,7,3,5,1,2]=>[4,8,3,6,1,5,2,7]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,1,6,3,7,5,8,4]=>[4,8,5,7,3,6,1,2]=>[4,8,3,7,1,5,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[3,1,6,2,7,5,8,4]=>[4,8,5,7,2,6,1,3]=>[4,8,2,7,1,5,3,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[4,1,6,2,7,5,8,3]=>[3,8,5,7,2,6,1,4]=>[3,8,2,7,1,5,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[5,1,6,2,7,4,8,3]=>[3,8,4,7,2,6,1,5]=>[3,8,2,7,1,6,4,5]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[5,2,6,1,7,4,8,3]=>[3,8,4,7,1,6,2,5]=>[3,8,4,7,1,6,2,5]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[5,2,6,4,7,1,8,3]=>[3,8,1,7,4,6,2,5]=>[3,8,1,7,4,6,2,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[5,2,6,4,7,3,8,1]=>[1,8,3,7,4,6,2,5]=>[3,8,1,7,2,6,4,5]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[5,4,6,2,7,3,8,1]=>[1,8,3,7,2,6,4,5]=>[1,8,3,7,2,6,4,5]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,4,6,2,7,1,8,3]=>[3,8,1,7,2,6,4,5]=>[1,8,3,7,4,6,2,5]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,4,6,1,7,2,8,3]=>[3,8,2,7,1,6,4,5]=>[3,8,4,7,2,6,1,5]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[5,1,6,4,7,2,8,3]=>[3,8,2,7,4,6,1,5]=>[3,8,2,7,4,6,1,5]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[4,1,6,5,7,2,8,3]=>[3,8,2,7,5,6,1,4]=>[3,8,2,7,5,6,1,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[3,1,6,5,7,2,8,4]=>[4,8,2,7,5,6,1,3]=>[4,8,2,7,5,6,1,3]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[2,1,6,5,7,3,8,4]=>[4,8,3,7,5,6,1,2]=>[4,8,3,7,5,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[3,1,6,5,7,4,8,2]=>[2,8,4,7,5,6,1,3]=>[2,8,1,7,4,5,3,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,1,6,5,7,3,8,2]=>[2,8,3,7,5,6,1,4]=>[2,8,1,7,3,5,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[5,1,6,4,7,3,8,2]=>[2,8,3,7,4,6,1,5]=>[2,8,1,7,3,6,4,5]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[5,4,6,1,7,3,8,2]=>[2,8,3,7,1,6,4,5]=>[2,8,3,7,1,6,4,5]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[5,4,6,3,7,1,8,2]=>[2,8,1,7,3,6,4,5]=>[2,8,3,7,4,6,1,5]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[8,3,5,2,1,6,4,7]=>[7,4,6,1,2,5,3,8]=>[1,7,4,6,8,2,5,3]=>[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]
[8,3,7,5,2,4,6,1]=>[1,6,4,2,5,7,3,8]=>[1,4,2,6,7,5,3,8]=>[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]
[8,2,4,5,7,3,6,1]=>[1,6,3,7,5,4,2,8]=>[1,6,5,3,2,7,4,8]=>[.,[[[[.,.],.],.],[[.,.],[.,.]]]]
[8,2,4,6,5,3,1,7]=>[7,1,3,5,6,4,2,8]=>[1,7,5,3,4,6,8,2]=>[.,[[[[.,.],.],[.,[.,[.,.]]]],.]]
[8,6,1,4,5,3,2,7]=>[7,2,3,5,4,1,6,8]=>[2,3,7,5,4,6,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[8,1,5,6,4,3,2,7]=>[7,2,3,4,6,5,1,8]=>[2,7,6,3,4,5,8,1]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[5,7,4,3,2,1,8,6]=>[6,8,1,2,3,4,7,5]=>[8,1,2,3,6,7,4,5]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]
[8,5,7,4,3,2,6,1]=>[1,6,2,3,4,7,5,8]=>[1,6,2,3,4,7,5,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,6,8,3,2,7,5,1]=>[1,5,7,2,3,8,6,4]=>[7,5,1,6,8,2,3,4]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[4,7,6,3,2,8,1,5]=>[5,1,8,2,3,6,7,4]=>[8,1,2,5,6,3,7,4]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]
[3,7,5,1,4,2,8,6]=>[6,8,2,4,1,5,7,3]=>[6,2,4,8,5,7,1,3]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]
[8,5,7,4,2,1,6,3]=>[3,6,1,2,4,7,5,8]=>[1,3,2,6,7,8,4,5]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[4,6,3,8,7,1,5,2]=>[2,5,1,7,8,3,6,4]=>[7,2,5,1,3,6,4,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[8,4,7,6,3,5,2,1]=>[1,2,5,3,6,7,4,8]=>[1,5,2,3,6,4,7,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,1,5,8,6,7,4,2]=>[2,4,7,6,8,5,1,3]=>[2,7,6,1,4,3,5,8]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[4,8,1,6,7,3,5,2]=>[2,5,3,7,6,1,8,4]=>[5,2,7,3,1,6,4,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[3,6,4,1,8,7,5,2]=>[2,5,7,8,1,4,6,3]=>[5,2,4,7,1,3,6,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[8,2,6,1,4,7,5,3]=>[3,5,7,4,1,6,2,8]=>[3,5,4,7,6,1,2,8]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]
[3,7,1,6,4,8,2,5]=>[5,2,8,4,6,1,7,3]=>[5,2,8,4,6,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[1,7,3,5,6,8,2,4]=>[4,2,8,6,5,3,7,1]=>[8,4,6,5,2,1,7,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[1,3,6,7,5,8,2,4]=>[4,2,8,5,7,6,3,1]=>[8,7,4,2,5,1,6,3]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[3,7,6,5,8,2,1,4]=>[4,1,2,8,5,6,7,3]=>[8,1,4,5,2,6,7,3]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]
[2,1,6,5,7,8,3,4]=>[4,3,8,7,5,6,1,2]=>[4,8,3,7,5,1,6,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[4,2,7,6,8,3,1,5]=>[5,1,3,8,6,7,2,4]=>[5,8,1,3,2,6,7,4]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]
[4,2,6,8,7,3,5,1]=>[1,5,3,7,8,6,2,4]=>[5,7,3,1,2,6,4,8]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]
[3,7,2,6,4,8,1,5]=>[5,1,8,4,6,2,7,3]=>[5,1,8,4,6,2,7,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[3,2,6,1,4,7,8,5]=>[5,8,7,4,1,6,2,3]=>[1,5,4,8,7,6,2,3]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]
[5,3,7,2,1,8,4,6]=>[6,4,8,1,2,7,3,5]=>[1,6,2,4,8,3,7,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[4,7,3,2,1,5,8,6]=>[6,8,5,1,2,3,7,4]=>[6,1,2,5,8,7,3,4]=>[[.,.],[.,[[.,[[.,.],.]],[.,.]]]]
[8,7,6,1,3,4,2,5]=>[5,2,4,3,1,6,7,8]=>[2,5,6,7,4,3,8,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[8,5,7,3,2,1,6,4]=>[4,6,1,2,3,7,5,8]=>[1,4,2,6,7,8,3,5]=>[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]
[8,3,6,7,2,1,5,4]=>[4,5,1,2,7,6,3,8]=>[4,7,5,1,6,8,2,3]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[3,7,8,6,2,1,5,4]=>[4,5,1,2,6,8,7,3]=>[8,4,1,5,6,7,2,3]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[8,7,6,3,5,2,4,1]=>[1,4,2,5,3,6,7,8]=>[1,4,5,6,2,7,3,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,7,4,8,1,6,5,3]=>[3,5,6,1,8,4,7,2]=>[5,3,4,1,8,2,6,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[4,6,8,2,1,7,5,3]=>[3,5,7,1,2,8,6,4]=>[7,3,1,5,6,2,4,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[8,5,3,7,1,6,2,4]=>[4,2,6,1,7,3,5,8]=>[4,6,7,2,8,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,2,6,7,1,3,5,4]=>[4,5,3,1,7,6,2,8]=>[4,5,3,1,7,6,2,8]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[8,3,6,1,7,5,2,4]=>[4,2,5,7,1,6,3,8]=>[4,5,2,7,1,6,8,3]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]
[8,2,6,5,7,4,1,3]=>[3,1,4,7,5,6,2,8]=>[3,7,4,5,1,6,8,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[2,1,7,8,5,6,4,3]=>[3,4,6,5,8,7,1,2]=>[6,8,3,1,4,2,5,7]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[8,2,5,7,6,4,3,1]=>[1,3,4,6,7,5,2,8]=>[1,6,3,2,4,5,7,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,7,6,8,5,4,1,3]=>[3,1,4,5,8,6,7,2]=>[8,3,4,1,5,6,7,2]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]
[1,7,2,5,8,6,4,3]=>[3,4,6,8,5,2,7,1]=>[6,3,8,2,1,4,5,7]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[1,7,4,8,2,6,5,3]=>[3,5,6,2,8,4,7,1]=>[3,2,5,1,8,4,6,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[3,7,8,1,6,5,2,4]=>[4,2,5,6,1,8,7,3]=>[4,2,1,8,5,6,7,3]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]
[8,7,6,3,5,1,4,2]=>[2,4,1,5,3,6,7,8]=>[2,4,5,6,1,7,3,8]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[8,4,7,6,5,1,3,2]=>[2,3,1,5,6,7,4,8]=>[2,3,1,5,6,7,4,8]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[6,5,3,1,2,4,8,7]=>[7,8,4,2,1,3,5,6]=>[2,4,7,8,5,3,1,6]=>[[.,[[.,[[.,[.,.]],.]],.]],[.,.]]
[4,6,3,5,1,2,8,7]=>[7,8,2,1,5,3,6,4]=>[2,1,7,5,8,6,3,4]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[8,5,3,7,2,1,4,6]=>[6,4,1,2,7,3,5,8]=>[1,2,6,4,7,8,5,3]=>[.,[.,[[[.,.],[[.,[.,.]],.]],.]]]
[8,7,2,4,5,1,3,6]=>[6,3,1,5,4,2,7,8]=>[3,6,7,5,1,8,4,2]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]
[2,6,1,4,5,3,8,7]=>[7,8,3,5,4,1,6,2]=>[7,3,8,5,4,6,1,2]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[6,3,1,4,5,2,8,7]=>[7,8,2,5,4,1,3,6]=>[2,7,8,5,4,6,1,3]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]
[3,1,6,4,5,2,8,7]=>[7,8,2,5,4,6,1,3]=>[7,8,2,5,4,6,1,3]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[8,3,7,4,5,1,2,6]=>[6,2,1,5,4,7,3,8]=>[2,6,5,7,1,8,4,3]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]
[2,8,7,4,1,6,3,5]=>[5,3,6,1,4,7,8,2]=>[5,3,6,7,8,1,4,2]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[8,1,7,4,2,6,3,5]=>[5,3,6,2,4,7,1,8]=>[5,6,3,7,8,2,4,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[3,7,8,4,5,1,2,6]=>[6,2,1,5,4,8,7,3]=>[6,2,1,5,4,8,7,3]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]
[2,1,6,8,5,7,3,4]=>[4,3,7,5,8,6,1,2]=>[4,7,3,1,5,2,8,6]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[5,6,3,8,1,7,2,4]=>[4,2,7,1,8,3,6,5]=>[4,2,7,1,8,3,6,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[7,6,1,4,5,8,3,2]=>[2,3,8,5,4,1,6,7]=>[2,3,8,5,4,1,6,7]=>[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]
[3,7,6,4,5,8,2,1]=>[1,2,8,5,4,6,7,3]=>[8,1,2,5,4,3,6,7]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,5,8,4,7,6,1,3]=>[3,1,6,7,4,8,5,2]=>[6,3,1,4,2,7,8,5]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]
[2,4,8,3,5,6,7,1]=>[1,7,6,5,3,8,4,2]=>[7,6,1,8,5,3,2,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[4,1,8,3,5,6,7,2]=>[2,7,6,5,3,8,1,4]=>[7,8,2,6,5,3,1,4]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]
[3,8,4,2,5,6,7,1]=>[1,7,6,5,2,4,8,3]=>[7,1,2,6,5,4,3,8]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]
[8,4,1,3,5,6,7,2]=>[2,7,6,5,3,1,4,8]=>[2,3,7,6,5,4,1,8]=>[[.,[.,[[[[.,.],.],.],.]]],[.,.]]
[7,5,8,4,3,6,1,2]=>[2,1,6,3,4,8,5,7]=>[2,3,1,4,6,5,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[6,4,3,8,2,1,7,5]=>[5,7,1,2,8,3,4,6]=>[1,2,5,3,7,8,4,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[7,3,8,4,2,6,1,5]=>[5,1,6,2,4,8,3,7]=>[5,6,1,2,4,3,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[3,1,8,2,5,6,7,4]=>[4,7,6,5,2,8,1,3]=>[4,7,2,6,5,3,1,8]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]
[2,3,8,1,5,6,7,4]=>[4,7,6,5,1,8,3,2]=>[7,4,1,6,5,3,2,8]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[4,3,8,2,5,6,7,1]=>[1,7,6,5,2,8,3,4]=>[1,7,2,8,6,5,3,4]=>[.,[[.,.],[[[[.,.],.],.],[.,.]]]]
[4,8,2,3,5,6,7,1]=>[1,7,6,5,3,2,8,4]=>[7,1,8,6,5,3,2,4]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[3,8,2,1,5,6,7,4]=>[4,7,6,5,1,2,8,3]=>[4,1,7,8,6,5,2,3]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[8,1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1,8]=>[4,7,6,5,3,2,1,8]=>[[[[.,[[[.,.],.],.]],.],.],[.,.]]
[7,8,2,4,3,6,1,5]=>[5,1,6,3,4,2,8,7]=>[5,1,6,3,4,2,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[6,8,3,2,4,1,7,5]=>[5,7,1,4,2,3,8,6]=>[5,1,2,7,4,8,3,6]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]
[2,1,7,8,5,4,3,6]=>[6,3,4,5,8,7,1,2]=>[6,8,3,1,4,5,7,2]=>[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]
[5,7,3,8,1,4,2,6]=>[6,2,4,1,8,3,7,5]=>[6,2,4,1,8,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[7,1,8,4,5,3,2,6]=>[6,2,3,5,4,8,1,7]=>[6,8,2,5,3,4,7,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[2,7,8,4,5,3,1,6]=>[6,1,3,5,4,8,7,2]=>[6,5,1,8,3,4,7,2]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]
[3,8,7,4,2,6,1,5]=>[5,1,6,2,4,7,8,3]=>[5,1,4,6,7,2,8,3]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,7,8,4,3,6,2,1]=>[1,2,6,3,4,8,7,5]=>[8,6,1,2,7,3,4,5]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[8,6,3,1,4,2,7,5]=>[5,7,2,4,1,3,6,8]=>[2,5,7,8,4,6,1,3]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]
[7,5,3,8,2,4,1,6]=>[6,1,4,2,8,3,5,7]=>[1,2,6,4,8,5,7,3]=>[.,[.,[[[.,.],[[.,.],[.,.]]],.]]]
[4,1,3,2,6,8,7,5]=>[5,7,8,6,2,3,1,4]=>[5,7,6,8,2,1,3,4]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[8,6,3,5,1,2,7,4]=>[4,7,2,1,5,3,6,8]=>[4,5,7,2,8,6,1,3]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[3,5,8,4,7,6,2,1]=>[1,2,6,7,4,8,5,3]=>[6,4,1,7,2,3,5,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[8,7,5,4,1,6,2,3]=>[3,2,6,1,4,5,7,8]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,7,3,6,1,8,2,4]=>[4,2,8,1,6,3,7,5]=>[4,2,6,3,8,1,7,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[2,1,7,6,5,8,3,4]=>[4,3,8,5,6,7,1,2]=>[4,8,3,5,6,1,7,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[7,8,5,4,2,6,1,3]=>[3,1,6,2,4,5,8,7]=>[3,1,2,4,6,5,8,7]=>[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]
[2,8,4,1,5,6,7,3]=>[3,7,6,5,1,4,8,2]=>[7,3,6,8,5,4,1,2]=>[[[.,.],[[[.,[.,.]],.],.]],[.,.]]
[4,8,1,2,5,6,7,3]=>[3,7,6,5,2,1,8,4]=>[3,2,7,6,5,4,1,8]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]
[3,4,8,1,5,6,7,2]=>[2,7,6,5,1,8,4,3]=>[7,2,1,6,5,4,3,8]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[3,4,2,8,5,6,7,1]=>[1,7,6,5,8,2,4,3]=>[7,6,8,1,5,4,2,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[2,4,1,8,5,6,7,3]=>[3,7,6,5,8,1,4,2]=>[7,3,6,1,5,4,2,8]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[4,1,2,8,5,6,7,3]=>[3,7,6,5,8,2,1,4]=>[3,7,6,2,5,4,1,8]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]
[7,5,2,4,8,6,1,3]=>[3,1,6,8,4,2,5,7]=>[3,4,6,5,1,2,8,7]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]
[6,5,3,2,8,1,7,4]=>[4,7,1,8,2,3,5,6]=>[1,2,4,7,3,8,5,6]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[7,3,5,4,8,6,1,2]=>[2,1,6,8,4,5,3,7]=>[2,6,4,5,1,3,8,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[8,3,4,1,5,6,7,2]=>[2,7,6,5,1,4,3,8]=>[2,7,6,8,5,4,1,3]=>[[.,[[[[.,.],[.,.]],.],.]],[.,.]]
[4,3,1,8,5,6,7,2]=>[2,7,6,5,8,1,3,4]=>[2,7,8,1,6,5,3,4]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[3,1,4,8,5,6,7,2]=>[2,7,6,5,8,4,1,3]=>[2,7,6,1,5,4,3,8]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[5,1,7,4,8,6,3,2]=>[2,3,6,8,4,7,1,5]=>[6,8,2,7,1,3,4,5]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[2,5,7,4,8,6,3,1]=>[1,3,6,8,4,7,5,2]=>[8,6,3,7,1,2,4,5]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[5,6,3,7,1,8,4,2]=>[2,4,8,1,7,3,6,5]=>[8,2,7,4,6,1,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[3,8,7,4,5,2,1,6]=>[6,1,2,5,4,7,8,3]=>[6,1,2,5,4,7,8,3]=>[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]
[3,7,5,4,8,6,2,1]=>[1,2,6,8,4,5,7,3]=>[6,1,4,8,2,3,5,7]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[5,6,3,1,8,2,7,4]=>[4,7,2,8,1,3,6,5]=>[4,2,7,8,1,6,3,5]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[4,6,3,8,1,2,7,5]=>[5,7,2,1,8,3,6,4]=>[5,2,7,1,8,6,3,4]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[3,7,8,4,1,6,2,5]=>[5,2,6,1,4,8,7,3]=>[5,2,1,6,8,4,7,3]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]
[3,6,2,5,4,8,1,7]=>[7,1,8,4,5,2,6,3]=>[7,1,8,4,5,2,6,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[3,5,2,4,7,1,8,6]=>[6,8,1,7,4,2,5,3]=>[6,1,8,7,4,5,2,3]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[3,5,8,2,4,7,6,1]=>[1,6,7,4,2,8,5,3]=>[6,4,1,7,5,2,3,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[4,2,6,5,3,8,1,7]=>[7,1,8,3,5,6,2,4]=>[7,8,1,3,5,2,6,4]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,4,2,1,6,8,3,7]=>[7,3,8,6,1,2,4,5]=>[1,3,7,8,4,2,6,5]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[5,1,6,4,3,8,2,7]=>[7,2,8,3,4,6,1,5]=>[7,8,2,3,4,1,6,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[5,4,3,2,7,1,8,6]=>[6,8,1,7,2,3,4,5]=>[1,2,3,8,6,7,4,5]=>[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]
[5,4,3,8,2,7,6,1]=>[1,6,7,2,8,3,4,5]=>[1,6,7,2,8,3,4,5]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,3,6,2,8,7,5,1]=>[1,5,7,8,2,6,3,4]=>[5,7,6,8,1,2,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[4,3,7,6,2,1,8,5]=>[5,8,1,2,6,7,3,4]=>[5,8,1,2,6,7,3,4]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[7,5,4,3,1,8,2,6]=>[6,2,8,1,3,4,5,7]=>[2,3,4,6,8,5,7,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[7,1,3,5,8,4,2,6]=>[6,2,4,8,5,3,1,7]=>[2,6,4,3,1,5,8,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[7,2,5,8,4,1,3,6]=>[6,3,1,4,8,5,2,7]=>[3,6,4,1,5,8,7,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]
[2,8,5,7,4,6,1,3]=>[3,1,6,4,7,5,8,2]=>[6,3,4,1,7,2,8,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,4,5,8,7,3,6,2]=>[2,6,3,7,8,5,4,1]=>[6,5,2,1,3,7,4,8]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[6,4,3,8,1,7,5,2]=>[2,5,7,1,8,3,4,6]=>[2,5,7,1,8,3,4,6]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[4,8,3,7,6,5,2,1]=>[1,2,5,6,7,3,8,4]=>[5,1,6,2,3,4,7,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[5,3,8,7,6,4,2,1]=>[1,2,4,6,7,8,3,5]=>[4,6,1,2,3,5,7,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[7,5,3,1,8,6,4,2]=>[2,4,6,8,1,3,5,7]=>[2,4,6,8,1,3,5,7]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[6,2,8,7,4,5,1,3]=>[3,1,5,4,7,8,2,6]=>[3,5,1,4,7,2,8,6]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,7,6,4,8,3,2,5]=>[5,2,3,8,4,6,7,1]=>[5,2,3,4,1,6,8,7]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[5,7,1,6,3,2,8,4]=>[4,8,2,3,6,1,7,5]=>[4,2,8,3,6,7,1,5]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[7,6,5,3,2,1,8,4]=>[4,8,1,2,3,5,6,7]=>[1,2,4,5,6,8,3,7]=>[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]
[6,5,3,2,8,7,4,1]=>[1,4,7,8,2,3,5,6]=>[1,4,7,8,2,3,5,6]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,2,6,3,8,7,4,1]=>[1,4,7,8,3,6,2,5]=>[4,7,3,6,1,2,5,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[5,2,7,6,3,1,8,4]=>[4,8,1,3,6,7,2,5]=>[4,8,1,3,6,7,2,5]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,7,2,6,3,1,8,5]=>[5,8,1,3,6,2,7,4]=>[5,1,8,3,6,7,2,4]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,4,8,6,3,7,5,1]=>[1,5,7,3,6,8,4,2]=>[7,5,1,3,6,2,4,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[7,3,6,2,4,1,8,5]=>[5,8,1,4,2,6,3,7]=>[1,5,4,8,6,7,2,3]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,3,7,8,2,1,5,6]=>[6,5,1,2,8,7,3,4]=>[1,6,5,2,3,8,7,4]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]]
[8,3,7,1,4,6,2,5]=>[5,2,6,4,1,7,3,8]=>[5,6,2,7,4,1,8,3]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[8,3,6,2,7,1,5,4]=>[4,5,1,7,2,6,3,8]=>[4,7,5,6,1,8,2,3]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[7,8,3,6,2,1,5,4]=>[4,5,1,2,6,3,8,7]=>[4,1,5,2,6,8,3,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[8,7,3,6,2,5,4,1]=>[1,4,5,2,6,3,7,8]=>[1,4,5,2,6,3,7,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,7,8,2,1,6,5,3]=>[3,5,6,1,2,8,7,4]=>[8,3,1,5,6,2,4,7]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[4,2,6,8,1,7,5,3]=>[3,5,7,1,8,6,2,4]=>[3,7,5,1,6,2,4,8]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[5,4,8,2,7,1,6,3]=>[3,6,1,7,2,8,4,5]=>[3,6,1,7,2,8,4,5]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[5,8,3,7,1,6,2,4]=>[4,2,6,1,7,3,8,5]=>[4,2,6,3,7,5,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[5,8,7,2,6,1,3,4]=>[4,3,1,6,2,7,8,5]=>[4,1,6,7,3,8,5,2]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]
[8,6,2,7,5,1,3,4]=>[4,3,1,5,7,2,6,8]=>[4,5,7,1,3,8,6,2]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]
[6,5,2,8,1,7,4,3]=>[3,4,7,1,8,2,5,6]=>[3,4,7,1,8,2,5,6]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[6,2,8,7,5,4,3,1]=>[1,3,4,5,7,8,2,6]=>[3,7,1,2,4,5,6,8]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[7,6,2,1,8,5,4,3]=>[3,4,5,8,1,2,6,7]=>[3,4,5,8,1,2,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[6,1,7,2,8,5,4,3]=>[3,4,5,8,2,7,1,6]=>[3,8,2,7,1,4,5,6]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[7,5,1,8,2,6,4,3]=>[3,4,6,2,8,1,5,7]=>[3,6,8,2,4,1,5,7]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[4,7,1,8,6,2,5,3]=>[3,5,2,6,8,1,7,4]=>[3,2,8,1,5,6,4,7]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[7,8,3,1,6,5,2,4]=>[4,2,5,6,1,3,8,7]=>[4,2,5,8,3,6,7,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[8,5,7,1,6,4,3,2]=>[2,3,4,6,1,7,5,8]=>[2,3,1,6,4,5,7,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[6,8,1,7,5,4,3,2]=>[2,3,4,5,7,1,8,6]=>[2,1,7,3,4,5,6,8]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,8,6,5,4,3,2]=>[2,3,4,5,6,8,1,7]=>[2,8,1,3,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[5,4,2,3,7,6,1,8]=>[8,1,6,7,3,2,4,5]=>[1,6,8,7,3,4,5,2]=>[.,[[[.,[[.,.],.]],[.,[.,.]]],.]]
[6,4,2,7,3,5,1,8]=>[8,1,5,3,7,2,4,6]=>[1,5,8,3,7,4,6,2]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[7,4,2,6,3,5,1,8]=>[8,1,5,3,6,2,4,7]=>[1,5,8,3,6,4,7,2]=>[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]
[8,4,2,6,3,1,5,7]=>[7,5,1,3,6,2,4,8]=>[1,5,7,3,6,8,4,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[3,2,7,6,4,5,1,8]=>[8,1,5,4,6,7,2,3]=>[5,8,1,2,6,4,7,3]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]
[4,7,2,6,3,5,1,8]=>[8,1,5,3,6,2,7,4]=>[5,1,8,3,6,4,7,2]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]
[5,7,6,2,3,4,1,8]=>[8,1,4,3,2,6,7,5]=>[4,1,3,8,6,5,7,2]=>[[.,.],[[.,[[[.,.],.],[.,.]]],.]]
[1,6,5,2,3,8,4,7]=>[7,4,8,3,2,5,6,1]=>[7,4,5,8,3,2,6,1]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]
[1,7,5,2,8,3,4,6]=>[6,4,3,8,2,5,7,1]=>[6,4,5,8,3,7,2,1]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[5,8,6,2,3,1,4,7]=>[7,4,1,3,2,6,8,5]=>[4,1,3,7,6,8,5,2]=>[[.,.],[[.,[[[.,.],[.,.]],.]],.]]
[4,8,2,6,3,1,5,7]=>[7,5,1,3,6,2,8,4]=>[5,1,7,3,6,8,4,2]=>[[.,.],[[[.,.],[[.,[.,.]],.]],.]]
[1,8,5,2,7,3,4,6]=>[6,4,3,7,2,5,8,1]=>[6,4,7,8,3,5,2,1]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[8,1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1,8]=>[5,7,4,3,8,6,2,1]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]
[7,1,6,8,2,3,4,5]=>[5,4,3,2,8,6,1,7]=>[5,6,4,3,8,7,2,1]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]
[3,2,1,7,8,4,5,6]=>[6,5,4,8,7,1,2,3]=>[1,6,8,5,2,7,4,3]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[3,2,8,7,1,4,5,6]=>[6,5,4,1,7,8,2,3]=>[6,7,1,2,8,5,4,3]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]
[8,5,7,2,1,3,4,6]=>[6,4,3,1,2,7,5,8]=>[1,6,4,7,8,5,3,2]=>[.,[[[[.,.],[[.,[.,.]],.]],.],.]]
[6,4,2,8,3,1,5,7]=>[7,5,1,3,8,2,4,6]=>[1,7,8,3,5,6,4,2]=>[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]
[3,2,5,4,1,8,6,7]=>[7,6,8,1,4,5,2,3]=>[7,8,1,4,6,2,5,3]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,4,2,3,1,8,6,7]=>[7,6,8,1,3,2,4,5]=>[1,3,7,6,8,4,5,2]=>[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]
[6,4,2,1,3,8,5,7]=>[7,5,8,3,1,2,4,6]=>[1,3,7,8,5,4,6,2]=>[.,[[.,[[[.,[.,.]],.],[.,.]]],.]]
[8,4,2,1,7,3,5,6]=>[6,5,3,7,1,2,4,8]=>[1,6,7,8,3,5,4,2]=>[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]
[1,5,8,2,7,3,4,6]=>[6,4,3,7,2,8,5,1]=>[6,4,3,7,5,8,2,1]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]
[8,5,1,2,7,3,4,6]=>[6,4,3,7,2,1,5,8]=>[6,7,8,4,3,5,2,1]=>[[[[[.,[.,[.,.]]],.],[.,.]],.],.]
[7,5,1,2,8,3,4,6]=>[6,4,3,8,2,1,5,7]=>[4,6,8,5,3,7,2,1]=>[[[[.,[[.,[.,.]],.]],[.,.]],.],.]
[4,6,2,1,3,8,5,7]=>[7,5,8,3,1,2,6,4]=>[7,1,5,8,6,3,4,2]=>[[.,.],[[[.,[[.,.],.]],[.,.]],.]]
[3,2,6,1,4,8,5,7]=>[7,5,8,4,1,6,2,3]=>[1,7,5,8,6,2,4,3]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[3,2,7,1,8,4,5,6]=>[6,5,4,8,1,7,2,3]=>[1,6,5,8,2,7,4,3]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[4,7,2,1,8,3,5,6]=>[6,5,3,8,1,2,7,4]=>[6,1,5,8,3,7,4,2]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]
[7,6,1,8,2,3,4,5]=>[5,4,3,2,8,1,6,7]=>[5,6,8,4,7,3,2,1]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.]
[8,6,1,7,2,3,4,5]=>[5,4,3,2,7,1,6,8]=>[5,7,8,4,6,3,2,1]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.]
[1,6,8,7,2,3,4,5]=>[5,4,3,2,7,8,6,1]=>[5,4,3,7,8,6,2,1]=>[[[[[.,.],.],[[.,[.,.]],.]],.],.]
[1,7,8,6,2,3,4,5]=>[5,4,3,2,6,8,7,1]=>[5,4,3,6,8,7,2,1]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.]
[6,8,1,7,2,3,4,5]=>[5,4,3,2,7,1,8,6]=>[5,4,7,6,8,3,2,1]=>[[[[[.,.],[[.,.],[.,.]]],.],.],.]
[3,2,8,1,7,4,5,6]=>[6,5,4,7,1,8,2,3]=>[6,7,1,8,2,5,4,3]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[3,2,1,8,7,4,5,6]=>[6,5,4,7,8,1,2,3]=>[6,7,8,1,2,5,4,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]
[5,1,8,2,7,3,4,6]=>[6,4,3,7,2,8,1,5]=>[6,7,4,5,3,8,2,1]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]
[6,1,8,7,2,3,4,5]=>[5,4,3,2,7,8,1,6]=>[5,7,4,6,8,3,2,1]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]
[8,1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1,8]=>[5,6,4,7,8,3,2,1]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]
[1,8,7,6,2,3,4,5]=>[5,4,3,2,6,7,8,1]=>[5,4,6,7,8,3,2,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[6,3,5,1,2,4,8,7]=>[7,8,4,2,1,5,3,6]=>[4,7,5,8,6,2,1,3]=>[[[.,[[.,.],[[.,.],.]]],.],[.,.]]
[4,3,5,6,1,2,8,7]=>[7,8,2,1,6,5,3,4]=>[2,7,6,3,8,5,1,4]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]
[8,3,7,5,2,1,4,6]=>[6,4,1,2,5,7,3,8]=>[1,4,2,6,7,8,5,3]=>[.,[[.,.],[[[.,[.,[.,.]]],.],.]]]
[6,3,7,5,1,8,4,2]=>[2,4,8,1,5,7,3,6]=>[2,8,1,4,7,3,5,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[6,5,2,7,1,8,3,4]=>[4,3,8,1,7,2,5,6]=>[1,4,5,3,8,2,7,6]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[8,5,2,7,4,1,3,6]=>[6,3,1,4,7,2,5,8]=>[3,6,7,1,4,8,5,2]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]
[2,6,1,5,4,3,8,7]=>[7,8,3,4,5,1,6,2]=>[7,3,8,4,5,6,1,2]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[6,4,3,5,1,2,8,7]=>[7,8,2,1,5,3,4,6]=>[2,3,7,5,8,6,1,4]=>[[.,[.,[[.,.],[[.,.],.]]]],[.,.]]
[5,7,4,6,2,8,3,1]=>[1,3,8,2,6,4,7,5]=>[3,1,8,6,7,2,4,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[3,4,7,8,5,2,1,6]=>[6,1,2,5,8,7,4,3]=>[6,5,4,1,2,3,8,7]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[2,1,8,5,7,3,4,6]=>[6,4,3,7,5,8,1,2]=>[6,7,4,5,1,8,3,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[5,8,2,4,6,7,3,1]=>[1,3,7,6,4,2,8,5]=>[7,1,8,6,3,2,4,5]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]
[7,5,4,8,1,6,3,2]=>[2,3,6,1,8,4,5,7]=>[2,3,6,1,8,4,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[2,5,4,6,7,1,8,3]=>[3,8,1,7,6,4,5,2]=>[8,3,7,6,4,5,1,2]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[4,1,6,3,8,5,7,2]=>[2,7,5,8,3,6,1,4]=>[7,8,5,6,2,3,1,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[6,5,8,4,1,7,3,2]=>[2,3,7,1,4,8,5,6]=>[2,3,1,7,8,4,5,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[8,5,3,7,4,1,6,2]=>[2,6,1,4,7,3,5,8]=>[2,6,7,1,4,8,3,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,1,4,8,3,7,6,5]=>[5,6,7,3,8,4,1,2]=>[5,6,3,1,4,2,7,8]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[3,1,8,2,7,6,5,4]=>[4,5,6,7,2,8,1,3]=>[4,5,2,3,1,6,7,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[2,3,8,1,6,7,5,4]=>[4,5,7,6,1,8,3,2]=>[7,4,1,5,3,2,6,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[4,3,7,2,6,8,5,1]=>[1,5,8,6,2,7,3,4]=>[5,6,1,8,7,2,3,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[4,7,2,3,8,5,6,1]=>[1,6,5,8,3,2,7,4]=>[6,5,8,7,1,3,2,4]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[2,8,1,3,6,5,7,4]=>[4,7,5,6,3,1,8,2]=>[4,1,7,5,3,6,2,8]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[2,7,8,5,4,3,1,6]=>[6,1,3,4,5,8,7,2]=>[6,3,1,2,4,5,8,7]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[3,8,6,7,2,4,1,5]=>[5,1,4,2,7,6,8,3]=>[5,1,4,2,7,6,8,3]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]
[5,3,8,7,4,2,6,1]=>[1,6,2,4,7,8,3,5]=>[6,7,1,2,4,5,3,8]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[4,3,8,7,2,1,6,5]=>[5,6,1,2,7,8,3,4]=>[5,6,1,2,7,8,3,4]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[8,3,6,1,4,2,7,5]=>[5,7,2,4,1,6,3,8]=>[2,5,4,7,6,8,1,3]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[8,3,5,6,2,7,1,4]=>[4,1,7,2,6,5,3,8]=>[1,7,6,4,5,2,8,3]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[5,3,6,1,8,7,2,4]=>[4,2,7,8,1,6,3,5]=>[4,7,2,8,1,3,6,5]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[5,6,2,8,7,4,1,3]=>[3,1,4,7,8,2,6,5]=>[7,3,4,1,2,6,8,5]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]
[7,8,5,6,1,4,2,3]=>[3,2,4,1,6,5,8,7]=>[3,2,6,4,8,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[2,8,6,5,4,7,1,3]=>[3,1,7,4,5,6,8,2]=>[7,3,4,5,6,1,8,2]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[8,1,6,4,5,7,2,3]=>[3,2,7,5,4,6,1,8]=>[3,7,5,6,2,1,8,4]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]
[5,8,3,6,1,7,2,4]=>[4,2,7,1,6,3,8,5]=>[4,2,7,3,8,1,6,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[2,1,8,6,5,7,3,4]=>[4,3,7,5,6,8,1,2]=>[4,7,3,5,6,1,8,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[6,7,3,5,2,1,8,4]=>[4,8,1,2,5,3,7,6]=>[4,1,8,2,5,7,3,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[7,1,4,2,5,6,8,3]=>[3,8,6,5,2,4,1,7]=>[3,8,6,7,5,2,1,4]=>[[[.,[[[.,.],[.,.]],.]],.],[.,.]]
[4,6,1,2,8,7,3,5]=>[5,3,7,8,2,1,6,4]=>[5,3,7,6,2,4,8,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[7,5,3,2,6,8,1,4]=>[4,1,8,6,2,3,5,7]=>[1,2,4,8,6,3,7,5]=>[.,[.,[[.,[[.,.],.]],[[.,.],.]]]]
[2,1,5,3,6,8,7,4]=>[4,7,8,6,3,5,1,2]=>[4,7,3,6,5,1,2,8]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]
[7,3,5,4,6,1,8,2]=>[2,8,1,6,4,5,3,7]=>[2,8,4,6,5,7,1,3]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[6,3,4,1,5,7,8,2]=>[2,8,7,5,1,4,3,6]=>[2,8,5,7,6,4,1,3]=>[[.,[[[.,.],[[.,.],.]],.]],[.,.]]
[3,1,4,5,6,8,7,2]=>[2,7,8,6,5,4,1,3]=>[2,7,6,5,4,1,3,8]=>[[.,[[[[.,.],.],.],.]],[.,[.,.]]]
[4,5,2,6,3,1,8,7]=>[7,8,1,3,6,2,5,4]=>[7,6,8,1,3,5,2,4]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[6,5,2,1,4,3,8,7]=>[7,8,3,4,1,2,5,6]=>[3,4,7,8,5,6,1,2]=>[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]
[8,5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5,8]=>[3,6,7,1,4,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[8,3,7,5,2,1,6,4]=>[4,6,1,2,5,7,3,8]=>[1,6,4,5,7,8,2,3]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,3,7,5,2,8,4,1]=>[1,4,8,2,5,7,3,6]=>[4,8,1,5,7,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,1,6,5,4,2,8,7]=>[7,8,2,4,5,6,1,3]=>[7,8,2,4,5,6,1,3]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[3,6,2,4,1,5,8,7]=>[7,8,5,1,4,2,6,3]=>[7,1,8,5,6,4,2,3]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[6,7,2,3,4,8,5,1]=>[1,5,8,4,3,2,7,6]=>[5,4,8,7,3,1,2,6]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]
[8,7,2,3,4,1,6,5]=>[5,6,1,4,3,2,7,8]=>[5,6,7,4,3,8,1,2]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]
[5,1,7,3,8,4,6,2]=>[2,6,4,8,3,7,1,5]=>[6,8,4,7,2,3,1,5]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[7,6,1,3,5,8,4,2]=>[2,4,8,5,3,1,6,7]=>[2,4,8,5,3,1,6,7]=>[[.,[[.,[[.,.],.]],.]],[.,[.,.]]]
[3,6,7,4,1,8,5,2]=>[2,5,8,1,4,7,6,3]=>[8,5,2,4,7,1,3,6]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[5,6,3,7,4,8,1,2]=>[2,1,8,4,7,3,6,5]=>[8,2,7,1,4,3,6,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[2,1,6,7,4,8,5,3]=>[3,5,8,4,7,6,1,2]=>[5,8,7,3,4,1,2,6]=>[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]
[2,1,8,7,4,3,6,5]=>[5,6,3,4,7,8,1,2]=>[5,6,3,4,7,8,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[3,8,7,4,1,2,6,5]=>[5,6,2,1,4,7,8,3]=>[5,2,6,7,8,4,1,3]=>[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]
[7,8,1,3,5,2,6,4]=>[4,6,2,5,3,1,8,7]=>[4,2,6,5,3,8,1,7]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[5,8,7,3,2,6,1,4]=>[4,1,6,2,3,7,8,5]=>[4,1,2,6,7,3,8,5]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]
[8,1,6,3,2,5,4,7]=>[7,4,5,2,3,6,1,8]=>[4,7,5,6,8,2,3,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[2,8,4,1,6,3,7,5]=>[5,7,3,6,1,4,8,2]=>[7,5,6,8,3,4,1,2]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]
[3,8,4,2,5,7,1,6]=>[6,1,7,5,2,4,8,3]=>[6,1,5,7,4,2,8,3]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[2,1,5,3,8,7,6,4]=>[4,6,7,8,3,5,1,2]=>[4,6,3,5,1,2,7,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[6,5,3,2,8,7,1,4]=>[4,1,7,8,2,3,5,6]=>[1,2,4,7,3,5,8,6]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]
[7,5,2,4,8,1,6,3]=>[3,6,1,8,4,2,5,7]=>[3,4,6,5,1,8,2,7]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]
[3,4,2,8,5,7,6,1]=>[1,6,7,5,8,2,4,3]=>[6,5,7,1,4,2,3,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[8,4,2,1,7,5,3,6]=>[6,3,5,7,1,2,4,8]=>[3,6,7,8,1,2,5,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[7,1,6,5,4,8,2,3]=>[3,2,8,4,5,6,1,7]=>[3,4,2,5,6,1,8,7]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[3,7,5,6,8,4,2,1]=>[1,2,4,8,6,5,7,3]=>[8,1,6,4,2,3,5,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[5,7,1,6,8,2,4,3]=>[3,4,2,8,6,1,7,5]=>[3,2,8,4,1,6,5,7]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[5,6,2,1,8,7,3,4]=>[4,3,7,8,1,2,6,5]=>[4,3,7,8,1,2,6,5]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[4,6,2,5,8,3,7,1]=>[1,7,3,8,5,2,6,4]=>[7,1,8,3,2,5,4,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[7,5,2,6,3,8,1,4]=>[4,1,8,3,6,2,5,7]=>[1,4,8,3,6,2,7,5]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[7,5,2,8,3,4,6,1]=>[1,6,4,3,8,2,5,7]=>[1,6,8,4,5,3,2,7]=>[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]
[5,6,2,8,4,3,1,7]=>[7,1,3,4,8,2,6,5]=>[7,3,8,1,2,4,6,5]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[4,7,2,8,1,5,3,6]=>[6,3,5,1,8,2,7,4]=>[6,3,5,1,8,2,7,4]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[8,7,2,1,4,5,6,3]=>[3,6,5,4,1,2,7,8]=>[3,6,7,8,5,4,1,2]=>[[.,[[[.,[.,[.,.]]],.],.]],[.,.]]
[3,6,8,7,1,5,4,2]=>[2,4,5,1,7,8,6,3]=>[7,2,1,4,5,3,6,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[5,7,8,6,3,4,1,2]=>[2,1,4,3,6,8,7,5]=>[8,2,1,4,6,3,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[2,1,7,8,5,4,6,3]=>[3,6,4,5,8,7,1,2]=>[6,8,3,1,4,5,2,7]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[2,1,5,8,4,6,3,7]=>[7,3,6,4,8,5,1,2]=>[7,8,3,1,6,4,5,2]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]
[7,5,8,4,3,6,2,1]=>[1,2,6,3,4,8,5,7]=>[1,6,2,3,8,4,5,7]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,1,8,3,6,5,2,7]=>[7,2,5,6,3,8,1,4]=>[5,7,2,6,3,4,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,4,8,1,7,2,5,6]=>[6,5,2,7,1,8,4,3]=>[6,2,1,7,5,8,4,3]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]
[8,4,1,3,7,2,6,5]=>[5,6,2,7,3,1,4,8]=>[5,6,7,2,1,8,3,4]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[2,3,8,1,4,6,7,5]=>[5,7,6,4,1,8,3,2]=>[7,5,1,6,4,3,2,8]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[4,3,8,2,5,1,7,6]=>[6,7,1,5,2,8,3,4]=>[1,6,2,7,5,8,3,4]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[6,3,8,4,2,5,7,1]=>[1,7,5,2,4,8,3,6]=>[7,8,1,2,5,4,3,6]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]
[7,4,3,8,2,5,1,6]=>[6,1,5,2,8,3,4,7]=>[1,2,6,3,8,5,7,4]=>[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]
[2,1,4,8,3,5,7,6]=>[6,7,5,3,8,4,1,2]=>[6,7,3,1,5,4,2,8]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[6,8,2,4,3,5,1,7]=>[7,1,5,3,4,2,8,6]=>[7,1,8,3,5,4,6,2]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]
[4,8,2,3,5,1,6,7]=>[7,6,1,5,3,2,8,4]=>[7,1,8,6,3,5,4,2]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]
[3,8,2,1,4,6,5,7]=>[7,5,6,4,1,2,8,3]=>[5,1,7,8,6,2,4,3]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[2,8,4,1,6,5,7,3]=>[3,7,5,6,1,4,8,2]=>[7,3,5,6,1,4,2,8]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[2,8,7,6,1,4,3,5]=>[5,3,4,1,6,7,8,2]=>[3,1,5,6,7,4,8,2]=>[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]
[7,5,8,6,1,4,2,3]=>[3,2,4,1,6,8,5,7]=>[3,6,2,4,8,5,7,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[3,5,7,6,1,4,2,8]=>[8,2,4,1,6,7,5,3]=>[8,2,1,4,6,5,7,3]=>[[[.,.],.],[[.,[[.,.],[.,.]]],.]]
[3,5,7,2,4,1,6,8]=>[8,6,1,4,2,7,5,3]=>[6,4,1,8,2,7,5,3]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[2,8,5,3,4,1,7,6]=>[6,7,1,4,3,5,8,2]=>[6,1,4,7,3,8,2,5]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[2,8,5,3,4,1,6,7]=>[7,6,1,4,3,5,8,2]=>[7,1,4,6,5,8,3,2]=>[[.,.],[[[.,[[.,.],[.,.]]],.],.]]
[2,8,5,3,6,1,7,4]=>[4,7,1,6,3,5,8,2]=>[7,1,4,6,3,8,2,5]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[2,8,5,3,4,7,1,6]=>[6,1,7,4,3,5,8,2]=>[6,1,4,7,3,2,8,5]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[2,8,5,3,4,6,1,7]=>[7,1,6,4,3,5,8,2]=>[7,1,4,6,5,3,8,2]=>[[.,.],[[[.,[[.,.],.]],[.,.]],.]]
[2,8,5,3,4,6,7,1]=>[1,7,6,4,3,5,8,2]=>[7,1,4,6,5,3,2,8]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[3,5,7,2,4,6,1,8]=>[8,1,6,4,2,7,5,3]=>[6,4,1,8,7,2,5,3]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[6,5,2,7,3,1,4,8]=>[8,4,1,3,7,2,5,6]=>[1,4,8,3,5,7,6,2]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[6,5,2,8,3,1,7,4]=>[4,7,1,3,8,2,5,6]=>[1,4,7,3,5,8,2,6]=>[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]
[7,5,8,2,4,6,3,1]=>[1,3,6,4,2,8,5,7]=>[1,6,3,8,4,2,5,7]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[7,5,8,6,1,4,3,2]=>[2,3,4,1,6,8,5,7]=>[2,6,1,3,8,4,5,7]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,5,6,2,1,8,7,4]=>[4,7,8,1,2,6,5,3]=>[7,6,4,5,8,1,2,3]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[3,5,7,2,4,1,8,6]=>[6,8,1,4,2,7,5,3]=>[8,6,1,7,4,5,2,3]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[6,5,2,7,3,4,8,1]=>[1,8,4,3,7,2,5,6]=>[1,4,8,3,7,5,2,6]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[5,1,6,7,4,3,8,2]=>[2,8,3,4,7,6,1,5]=>[2,8,7,1,3,6,4,5]=>[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]
[5,1,2,6,4,8,7,3]=>[3,7,8,4,6,2,1,5]=>[7,8,3,2,6,1,4,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]
[5,1,2,8,6,4,7,3]=>[3,7,4,6,8,2,1,5]=>[3,7,6,2,4,5,1,8]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]
[5,1,6,8,7,3,4,2]=>[2,4,3,7,8,6,1,5]=>[4,7,2,1,3,6,5,8]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]
[6,5,2,8,3,7,4,1]=>[1,4,7,3,8,2,5,6]=>[4,7,8,1,3,2,5,6]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[4,1,2,3,8,7,5,6]=>[6,5,7,8,3,2,1,4]=>[6,7,5,3,2,4,8,1]=>[[[[[.,[.,.]],.],.],[.,[.,.]]],.]
[4,1,2,3,8,6,7,5]=>[5,7,6,8,3,2,1,4]=>[5,7,6,3,2,4,1,8]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]
[5,6,8,2,3,1,7,4]=>[4,7,1,3,2,8,6,5]=>[4,3,1,7,6,8,2,5]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[6,5,8,2,4,3,1,7]=>[7,1,3,4,2,8,5,6]=>[1,7,3,8,4,5,6,2]=>[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]
[6,5,8,2,4,3,7,1]=>[1,7,3,4,2,8,5,6]=>[1,7,3,8,4,5,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,1,6,8,7,3,2,4]=>[4,2,3,7,8,6,1,5]=>[4,7,2,1,3,6,8,5]=>[[[.,[.,.]],.],[.,[[.,[.,.]],.]]]
[5,7,8,6,3,4,2,1]=>[1,2,4,3,6,8,7,5]=>[8,4,1,2,6,3,5,7]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[3,1,4,8,6,2,7,5]=>[5,7,2,6,8,4,1,3]=>[5,7,6,2,4,8,1,3]=>[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]
[4,1,6,7,8,3,2,5]=>[5,2,3,8,7,6,1,4]=>[5,8,7,2,1,3,6,4]=>[[[.,[[.,.],.]],.],[.,[[.,.],.]]]
[4,1,6,5,7,3,2,8]=>[8,2,3,7,5,6,1,4]=>[2,8,1,7,3,5,6,4]=>[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]
[4,5,2,6,3,7,1,8]=>[8,1,7,3,6,2,5,4]=>[8,3,7,1,6,2,5,4]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[4,5,2,7,3,8,1,6]=>[6,1,8,3,7,2,5,4]=>[8,6,7,1,3,2,5,4]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,5,6,2,4,8,7,1]=>[1,7,8,4,2,6,5,3]=>[7,6,4,8,5,1,2,3]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[3,5,6,2,4,8,1,7]=>[7,1,8,4,2,6,5,3]=>[7,6,1,8,4,2,5,3]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[3,7,5,6,8,4,1,2]=>[2,1,4,8,6,5,7,3]=>[8,2,6,4,1,5,7,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[6,1,2,5,8,4,7,3]=>[3,7,4,8,5,2,1,6]=>[3,7,4,2,1,8,5,6]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]
[7,1,6,5,8,3,4,2]=>[2,4,3,8,5,6,1,7]=>[2,4,3,5,1,8,6,7]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[7,5,2,6,3,8,4,1]=>[1,4,8,3,6,2,5,7]=>[1,4,8,3,6,2,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,1,2,3,7,8,6,5]=>[5,6,8,7,3,2,1,4]=>[5,8,6,3,2,1,4,7]=>[[[[.,[[.,.],.]],.],.],[.,[.,.]]]
[4,5,2,7,3,8,6,1]=>[1,6,8,3,7,2,5,4]=>[8,6,7,3,5,1,2,4]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[4,1,6,7,8,3,5,2]=>[2,5,3,8,7,6,1,4]=>[5,8,7,2,1,6,3,4]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]
[4,1,2,6,8,5,7,3]=>[3,7,5,8,6,2,1,4]=>[7,8,3,2,1,5,4,6]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]
[4,5,2,6,3,7,8,1]=>[1,8,7,3,6,2,5,4]=>[8,3,7,1,6,5,2,4]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[7,8,5,6,1,4,3,2]=>[2,3,4,1,6,5,8,7]=>[2,1,6,3,8,4,5,7]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,8,4,2,1,5,3,6]=>[6,3,5,1,2,4,8,7]=>[3,1,2,6,8,5,7,4]=>[[.,.],[.,[[[.,[.,.]],[.,.]],.]]]
[7,8,2,1,6,5,3,4]=>[4,3,5,6,1,2,8,7]=>[4,1,5,8,3,6,7,2]=>[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]
[6,4,1,2,5,7,3,8]=>[8,3,7,5,2,1,4,6]=>[3,5,8,7,6,2,4,1]=>[[[.,[.,[[[.,.],.],.]]],[.,.]],.]
[2,4,8,1,5,7,3,6]=>[6,3,7,5,1,8,4,2]=>[6,5,3,7,4,1,8,2]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[4,3,8,1,7,2,5,6]=>[6,5,2,7,1,8,3,4]=>[6,7,2,8,3,5,4,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[6,3,1,4,7,2,5,8]=>[8,5,2,7,4,1,3,6]=>[2,5,8,4,1,7,6,3]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]
[7,8,3,4,5,1,6,2]=>[2,6,1,5,4,3,8,7]=>[2,1,6,5,4,8,3,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[7,8,3,5,4,2,1,6]=>[6,1,2,4,5,3,8,7]=>[6,1,8,2,4,5,7,3]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]
[7,8,4,1,2,3,6,5]=>[5,6,3,2,1,4,8,7]=>[5,3,6,8,4,2,1,7]=>[[[[.,.],[[.,[.,.]],.]],.],[.,.]]
[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]=>[2,1,4,3,5,6,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[7,8,2,1,5,3,4,6]=>[6,4,3,5,1,2,8,7]=>[4,1,6,8,5,7,3,2]=>[[.,.],[[[[.,[.,.]],[.,.]],.],.]]
[7,8,2,6,4,1,3,5]=>[5,3,1,4,6,2,8,7]=>[3,1,5,4,6,8,7,2]=>[[.,.],[[[.,.],[.,[[.,.],.]]],.]]
[7,8,2,5,6,4,1,3]=>[3,1,4,6,5,2,8,7]=>[3,1,6,4,2,5,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[7,8,1,6,5,4,3,2]=>[2,3,4,5,6,1,8,7]=>[2,1,8,3,4,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[2,1,8,7,5,4,3,6]=>[6,3,4,5,7,8,1,2]=>[3,6,1,4,5,7,8,2]=>[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]
[1,3,8,2,6,4,7,5]=>[5,7,4,6,2,8,3,1]=>[5,4,2,7,6,8,1,3]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[5,3,7,1,6,4,8,2]=>[2,8,4,6,1,7,3,5]=>[2,4,1,8,3,6,5,7]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[5,3,6,2,7,4,1,8]=>[8,1,4,7,2,6,3,5]=>[1,8,4,7,2,3,6,5]=>[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]
[6,1,2,5,8,7,4,3]=>[3,4,7,8,5,2,1,6]=>[7,8,3,2,1,4,5,6]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[6,3,1,8,4,2,7,5]=>[5,7,2,4,8,1,3,6]=>[5,7,8,2,4,6,1,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]
[6,4,2,1,5,3,8,7]=>[7,8,3,5,1,2,4,6]=>[1,3,7,8,5,6,2,4]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,4,3,7,5,8,1,2]=>[2,1,8,5,7,3,4,6]=>[2,3,8,1,5,4,7,6]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,3,8,7,5,6,1,2]=>[2,1,6,5,7,8,3,4]=>[2,6,1,5,7,3,8,4]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[2,4,7,1,5,3,6,8]=>[8,6,3,5,1,7,4,2]=>[8,3,1,6,5,7,4,2]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]
[1,3,7,6,4,2,8,5]=>[5,8,2,4,6,7,3,1]=>[5,4,2,3,6,8,1,7]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[2,1,7,5,6,8,4,3]=>[3,4,8,6,5,7,1,2]=>[3,8,1,6,4,2,5,7]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[3,7,2,8,6,4,1,5]=>[5,1,4,6,8,2,7,3]=>[5,4,8,1,2,6,7,3]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]
[3,8,1,7,6,4,5,2]=>[2,5,4,6,7,1,8,3]=>[2,1,5,4,6,7,3,8]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[1,8,5,7,3,6,4,2]=>[2,4,6,3,7,5,8,1]=>[4,2,3,1,6,5,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[2,7,5,8,3,6,1,4]=>[4,1,6,3,8,5,7,2]=>[4,1,3,2,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[1,5,6,8,2,4,7,3]=>[3,7,4,2,8,6,5,1]=>[7,3,2,1,8,6,4,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[2,6,8,5,3,1,4,7]=>[7,4,1,3,5,8,6,2]=>[7,4,1,3,5,8,6,2]=>[[[.,.],.],[[.,[.,[[.,.],.]]],.]]
[2,6,1,4,7,3,5,8]=>[8,5,3,7,4,1,6,2]=>[5,3,8,4,1,7,6,2]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[5,6,7,3,8,4,1,2]=>[2,1,4,8,3,7,6,5]=>[8,7,2,4,1,3,6,5]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[5,2,8,1,4,7,3,6]=>[6,3,7,4,1,8,2,5]=>[6,7,3,8,4,1,5,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[4,6,7,5,2,1,3,8]=>[8,3,1,2,5,7,6,4]=>[8,3,1,2,5,7,6,4]=>[[[.,.],.],[.,[[.,[[.,.],.]],.]]]
[4,5,6,7,2,8,1,3]=>[3,1,8,2,7,6,5,4]=>[8,7,6,1,3,2,5,4]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[4,5,7,6,1,8,3,2]=>[2,3,8,1,6,7,5,4]=>[8,6,2,3,5,1,4,7]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[1,5,8,6,2,7,3,4]=>[4,3,7,2,6,8,5,1]=>[4,3,2,7,8,1,6,5]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[1,6,5,8,3,2,7,4]=>[4,7,2,3,8,5,6,1]=>[4,2,3,1,7,8,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[4,6,5,7,1,2,8,3]=>[3,8,2,1,7,5,6,4]=>[8,3,5,2,7,6,1,4]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[4,7,5,6,3,1,8,2]=>[2,8,1,3,6,5,7,4]=>[8,2,6,3,5,7,1,4]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[5,1,6,3,4,2,8,7]=>[7,8,2,4,3,6,1,5]=>[7,8,2,4,3,6,1,5]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[5,7,1,4,2,3,8,6]=>[6,8,3,2,4,1,7,5]=>[6,3,8,4,7,2,1,5]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]
[5,7,6,4,3,8,1,2]=>[2,1,8,3,4,6,7,5]=>[8,2,3,4,6,1,7,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[6,3,4,5,8,7,1,2]=>[2,1,7,8,5,4,3,6]=>[2,7,5,4,1,3,8,6]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[6,2,4,1,8,3,7,5]=>[5,7,3,8,1,4,2,6]=>[5,7,3,8,1,4,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[6,2,3,5,4,8,1,7]=>[7,1,8,4,5,3,2,6]=>[1,7,4,3,5,2,8,6]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[6,1,3,4,5,8,7,2]=>[2,7,8,5,4,3,1,6]=>[7,8,5,4,2,1,3,6]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]
[5,1,4,2,7,6,8,3]=>[3,8,6,7,2,4,1,5]=>[3,8,6,7,2,4,1,5]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[1,6,2,4,7,8,3,5]=>[5,3,8,7,4,2,6,1]=>[8,3,5,4,2,1,7,6]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[5,7,2,4,1,6,3,8]=>[8,3,6,1,4,2,7,5]=>[3,1,8,6,7,4,5,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]
[6,1,4,2,8,5,3,7]=>[7,3,5,8,2,4,1,6]=>[3,7,5,8,2,4,6,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[6,7,5,8,1,4,3,2]=>[2,3,4,1,8,5,7,6]=>[8,2,3,1,7,4,5,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[5,8,7,6,3,4,1,2]=>[2,1,4,3,6,7,8,5]=>[2,1,4,6,7,3,8,5]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,8,7,6,2,3,1,4]=>[4,1,3,2,6,7,8,5]=>[4,1,3,6,7,5,8,2]=>[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]
[4,1,7,2,6,5,3,8]=>[8,3,5,6,2,7,1,4]=>[3,8,2,5,4,6,7,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,8,2,1,5,6,3,7]=>[7,3,6,5,1,2,8,4]=>[3,1,7,8,6,2,5,4]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[4,2,7,8,1,6,3,5]=>[5,3,6,1,8,7,2,4]=>[5,6,3,1,8,2,7,4]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[2,1,8,7,6,5,3,4]=>[4,3,5,6,7,8,1,2]=>[4,5,1,3,6,7,8,2]=>[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]
[3,1,4,7,8,2,6,5]=>[5,6,2,8,7,4,1,3]=>[5,8,6,2,1,4,3,7]=>[[[.,[[.,.],.]],.],[[.,.],[.,.]]]
[3,1,7,4,5,6,8,2]=>[2,8,6,5,4,7,1,3]=>[2,8,1,6,5,4,3,7]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[4,3,7,5,6,8,1,2]=>[2,1,8,6,5,7,3,4]=>[2,8,1,6,5,3,7,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[4,8,6,3,5,7,1,2]=>[2,1,7,5,3,6,8,4]=>[2,1,5,7,6,3,8,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]
[4,8,1,2,5,3,7,6]=>[6,7,3,5,2,1,8,4]=>[6,3,7,5,2,8,1,4]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[3,8,6,5,2,4,1,7]=>[7,1,4,2,5,6,8,3]=>[4,1,2,5,7,6,8,3]=>[[.,.],[.,[[.,[[.,.],[.,.]]],.]]]
[3,8,5,6,1,4,7,2]=>[2,7,4,1,6,5,8,3]=>[7,2,4,1,6,5,3,8]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[5,3,7,8,2,1,6,4]=>[4,6,1,2,8,7,3,5]=>[1,8,4,2,6,7,3,5]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[5,2,8,7,1,6,4,3]=>[3,4,6,1,7,8,2,5]=>[3,4,1,2,6,5,7,8]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]=>[3,2,1,4,5,7,6,8]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[3,6,7,8,5,1,4,2]=>[2,4,1,5,8,7,6,3]=>[8,7,2,1,4,5,3,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[3,7,6,8,5,2,1,4]=>[4,1,2,5,8,6,7,3]=>[8,1,4,2,5,6,7,3]=>[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]
[3,7,8,5,1,2,4,6]=>[6,4,2,1,5,8,7,3]=>[6,4,2,5,8,7,3,1]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]
[3,7,1,6,4,2,5,8]=>[8,5,2,4,6,1,7,3]=>[2,1,8,5,6,7,4,3]=>[[.,.],[[[[.,.],[.,[.,.]]],.],.]]
[4,1,8,6,2,3,5,7]=>[7,5,3,2,6,8,1,4]=>[5,7,3,6,8,4,2,1]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]
[4,7,8,6,3,5,1,2]=>[2,1,5,3,6,8,7,4]=>[8,2,1,5,6,3,7,4]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[3,8,7,6,5,4,1,2]=>[2,1,4,5,6,7,8,3]=>[2,1,4,5,6,7,8,3]=>[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]
[2,1,7,6,5,3,4,8]=>[8,4,3,5,6,7,1,2]=>[4,8,1,5,6,7,3,2]=>[[.,[.,.]],[[[.,[.,[.,.]]],.],.]]
[2,8,1,6,4,5,3,7]=>[7,3,5,4,6,1,8,2]=>[3,1,7,5,6,4,8,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]
[2,8,7,5,1,4,3,6]=>[6,3,4,1,5,7,8,2]=>[3,1,4,6,7,5,8,2]=>[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]
[2,8,6,7,5,1,3,4]=>[4,3,1,5,7,6,8,2]=>[4,3,5,1,7,8,6,2]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]
[2,7,8,6,5,4,1,3]=>[3,1,4,5,6,8,7,2]=>[8,3,1,4,5,6,7,2]=>[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]
[6,3,1,2,7,4,8,5]=>[5,8,4,7,2,1,3,6]=>[2,5,8,4,3,7,1,6]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]
[7,5,3,6,1,8,2,4]=>[4,2,8,1,6,3,5,7]=>[2,4,6,3,8,1,7,5]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]
[8,5,3,6,1,7,2,4]=>[4,2,7,1,6,3,5,8]=>[2,4,7,3,8,1,6,5]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]
[8,3,6,2,4,7,1,5]=>[5,1,7,4,2,6,3,8]=>[1,5,4,7,6,2,8,3]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[7,3,6,2,4,8,1,5]=>[5,1,8,4,2,6,3,7]=>[1,5,4,8,6,2,7,3]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[4,3,7,1,2,5,8,6]=>[6,8,5,2,1,7,3,4]=>[2,6,5,8,7,3,1,4]=>[[.,[[[.,.],[[.,.],.]],.]],[.,.]]
[3,6,2,7,1,4,8,5]=>[5,8,4,1,7,2,6,3]=>[8,1,5,4,7,6,2,3]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[5,3,6,7,1,2,8,4]=>[4,8,2,1,7,6,3,5]=>[2,8,4,3,7,6,1,5]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]
[6,3,7,4,1,2,8,5]=>[5,8,2,1,4,7,3,6]=>[2,5,1,4,8,7,3,6]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]
[5,7,4,2,3,8,1,6]=>[6,1,8,3,2,4,7,5]=>[6,1,3,8,4,2,7,5]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]
[3,7,6,1,4,8,2,5]=>[5,2,8,4,1,6,7,3]=>[5,2,4,8,6,1,7,3]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]
[5,7,2,6,1,8,3,4]=>[4,3,8,1,6,2,7,5]=>[4,1,6,3,8,2,7,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[5,8,2,6,3,7,1,4]=>[4,1,7,3,6,2,8,5]=>[4,1,7,3,6,2,8,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[6,8,4,3,7,1,2,5]=>[5,2,1,7,3,4,8,6]=>[5,2,3,7,4,8,6,1]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]
[3,8,5,7,1,2,4,6]=>[6,4,2,1,7,5,8,3]=>[6,4,7,2,8,5,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[7,3,8,5,6,1,2,4]=>[4,2,1,6,5,8,3,7]=>[4,6,2,5,1,8,7,3]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[6,3,7,5,8,1,2,4]=>[4,2,1,8,5,7,3,6]=>[4,5,2,3,1,8,7,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[3,6,5,8,1,2,4,7]=>[7,4,2,1,8,5,6,3]=>[7,4,5,2,8,6,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[4,6,3,7,1,8,2,5]=>[5,2,8,1,7,3,6,4]=>[8,2,5,3,7,1,6,4]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[3,5,7,1,4,8,2,6]=>[6,2,8,4,1,7,5,3]=>[8,6,2,7,4,1,5,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[5,3,7,2,4,8,1,6]=>[6,1,8,4,2,7,3,5]=>[1,6,2,8,4,3,7,5]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]
[7,4,6,3,8,1,2,5]=>[5,2,1,8,3,6,4,7]=>[2,5,3,6,1,8,7,4]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]
[8,4,1,6,7,2,3,5]=>[5,3,2,7,6,1,4,8]=>[5,7,8,3,2,6,4,1]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[6,5,3,7,1,8,2,4]=>[4,2,8,1,7,3,5,6]=>[2,4,5,3,8,1,7,6]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]
[6,5,1,2,7,8,3,4]=>[4,3,8,7,2,1,5,6]=>[4,5,8,3,2,1,7,6]=>[[[[.,[.,[.,.]]],.],.],[[.,.],.]]
[5,3,6,4,7,8,1,2]=>[2,1,8,7,4,6,3,5]=>[2,8,1,7,4,3,6,5]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[6,3,7,4,8,5,1,2]=>[2,1,5,8,4,7,3,6]=>[5,8,2,4,1,3,7,6]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[4,7,1,5,8,6,2,3]=>[3,2,6,8,5,1,7,4]=>[3,2,6,5,1,4,8,7]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[7,5,1,2,8,6,3,4]=>[4,3,6,8,2,1,5,7]=>[4,6,8,3,2,5,7,1]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[7,5,3,8,1,6,2,4]=>[4,2,6,1,8,3,5,7]=>[2,4,6,3,8,5,7,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[7,6,1,8,5,2,3,4]=>[4,3,2,5,8,1,6,7]=>[4,5,8,3,6,7,2,1]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[8,6,1,7,5,2,3,4]=>[4,3,2,5,7,1,6,8]=>[4,5,7,3,6,8,2,1]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[5,7,2,8,1,6,3,4]=>[4,3,6,1,8,2,7,5]=>[4,3,6,1,8,2,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[6,4,7,8,2,5,1,3]=>[3,1,5,2,8,7,4,6]=>[1,8,3,2,5,4,7,6]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]
[6,3,7,8,5,1,2,4]=>[4,2,1,5,8,7,3,6]=>[4,5,2,1,3,8,7,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[3,6,8,2,7,1,4,5]=>[5,4,1,7,2,8,6,3]=>[5,4,1,7,2,8,6,3]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[2,4,8,7,1,3,5,6]=>[6,5,3,1,7,8,4,2]=>[6,3,1,7,8,5,4,2]=>[[[.,.],.],[[[[.,[.,.]],.],.],.]]
[4,3,8,7,1,2,5,6]=>[6,5,2,1,7,8,3,4]=>[6,7,2,3,8,5,4,1]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.]
[5,3,8,7,1,2,4,6]=>[6,4,2,1,7,8,3,5]=>[6,7,2,4,8,5,3,1]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[8,3,7,6,1,2,4,5]=>[5,4,2,1,6,7,3,8]=>[5,6,2,7,8,4,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[8,4,7,6,1,2,3,5]=>[5,3,2,1,6,7,4,8]=>[5,6,3,7,8,4,2,1]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]
[5,4,8,7,1,2,3,6]=>[6,3,2,1,7,8,4,5]=>[6,7,3,4,8,5,2,1]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[2,5,8,7,1,3,4,6]=>[6,4,3,1,7,8,5,2]=>[6,4,1,7,8,5,3,2]=>[[[.,.],.],[[[[.,[.,.]],.],.],.]]
[7,5,8,6,4,1,2,3]=>[3,2,1,4,6,8,5,7]=>[3,6,2,4,5,8,7,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[6,8,4,7,5,1,2,3]=>[3,2,1,5,7,4,8,6]=>[3,2,5,4,7,8,6,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[2,8,7,6,1,3,4,5]=>[5,4,3,1,6,7,8,2]=>[5,1,6,7,8,4,3,2]=>[[.,.],[[[[.,[.,[.,.]]],.],.],.]]
[3,8,7,6,1,2,4,5]=>[5,4,2,1,6,7,8,3]=>[5,2,6,7,8,4,3,1]=>[[[.,.],[[[.,[.,[.,.]]],.],.]],.]
[4,8,7,6,1,2,3,5]=>[5,3,2,1,6,7,8,4]=>[5,3,6,7,8,4,2,1]=>[[[[.,.],[[.,[.,[.,.]]],.]],.],.]
[5,7,3,8,1,2,6,4]=>[4,6,2,1,8,3,7,5]=>[4,2,6,1,8,7,3,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[8,7,1,4,5,3,2,6]=>[6,2,3,5,4,1,7,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[2,7,8,4,1,6,5,3]=>[3,5,6,1,4,8,7,2]=>[5,3,1,4,8,2,6,7]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[6,5,3,1,8,4,7,2]=>[2,7,4,8,1,3,5,6]=>[2,4,7,8,1,5,3,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[8,7,1,4,2,6,5,3]=>[3,5,6,2,4,1,7,8]=>[3,5,6,2,7,1,4,8]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[2,3,4,5,6,7,8,1,9]=>[9,1,8,7,6,5,4,3,2]=>[9,8,7,6,5,4,1,3,2]=>[[[[[[[.,.],.],.],.],.],.],[[.,.],.]]
[2,3,4,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,4,3,2]=>[10,9,8,7,6,5,4,3,1,2]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]
[2,3,4,5,6,7,8,10,1,9]=>[9,1,10,8,7,6,5,4,3,2]=>[9,8,7,6,5,4,3,1,10,2]=>[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]]
[2,3,4,5,6,1,9,7,8]=>[8,7,9,1,6,5,4,3,2]=>[8,7,6,5,4,9,1,3,2]=>[[[[[[.,.],.],.],.],[.,.]],[[.,.],.]]
[3,6,4,5,7,2,8,1]=>[1,8,2,7,5,4,6,3]=>[8,1,7,5,2,4,3,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[6,3,2,5,1,8,4,7]=>[7,4,8,1,5,2,3,6]=>[1,4,7,5,8,2,6,3]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[8,5,3,6,2,7,1,4]=>[4,1,7,2,6,3,5,8]=>[1,2,7,4,6,3,8,5]=>[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]
[7,2,6,3,4,5,8,1]=>[1,8,5,4,3,6,2,7]=>[1,8,5,6,4,3,2,7]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[6,2,7,3,4,5,8,1]=>[1,8,5,4,3,7,2,6]=>[5,8,1,7,4,3,2,6]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[3,6,2,7,4,5,8,1]=>[1,8,5,4,7,2,6,3]=>[5,4,8,1,7,6,2,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[4,2,5,7,3,6,8,1]=>[1,8,6,3,7,5,2,4]=>[6,8,3,1,7,5,2,4]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[6,7,3,5,2,4,8,1]=>[1,8,4,2,5,3,7,6]=>[4,1,5,2,8,7,3,6]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[2,7,6,3,4,5,8,1]=>[1,8,5,4,3,6,7,2]=>[8,1,5,6,4,3,2,7]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[6,5,3,1,2,8,4,7]=>[7,4,8,2,1,3,5,6]=>[2,4,7,8,5,3,6,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[8,5,2,1,7,3,4,6]=>[6,4,3,7,1,2,5,8]=>[1,6,7,8,4,5,3,2]=>[.,[[[[.,[.,[.,.]]],[.,.]],.],.]]
[7,5,2,1,8,3,4,6]=>[6,4,3,8,1,2,5,7]=>[1,4,6,8,5,7,3,2]=>[.,[[[.,[[.,[.,.]],[.,.]]],.],.]]
[5,6,2,3,1,8,4,7]=>[7,4,8,1,3,2,6,5]=>[7,1,8,4,6,3,5,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]
[6,8,3,5,2,7,1,4]=>[4,1,7,2,5,3,8,6]=>[4,1,7,2,5,3,8,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[7,8,5,2,3,6,1,4]=>[4,1,6,3,2,5,8,7]=>[4,1,3,6,5,2,8,7]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]
[1,8,6,3,7,2,4,5]=>[5,4,2,7,3,6,8,1]=>[5,2,4,7,3,8,6,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[1,8,2,7,3,4,5,6]=>[6,5,4,3,7,2,8,1]=>[6,5,7,4,8,3,2,1]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]
[2,8,1,7,3,4,5,6]=>[6,5,4,3,7,1,8,2]=>[6,1,7,5,8,4,3,2]=>[[.,.],[[[[[.,.],[.,.]],.],.],.]]
[4,8,1,5,7,2,3,6]=>[6,3,2,7,5,1,8,4]=>[6,3,7,5,2,8,4,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[4,1,7,5,8,2,3,6]=>[6,3,2,8,5,7,1,4]=>[6,8,3,5,2,7,4,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[8,1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1,8]=>[6,7,5,4,8,3,2,1]=>[[[[[[.,[.,.]],.],[.,.]],.],.],.]
[3,6,2,7,1,8,4,5]=>[5,4,8,1,7,2,6,3]=>[8,1,5,4,7,2,6,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[6,3,7,1,2,8,4,5]=>[5,4,8,2,1,7,3,6]=>[2,5,4,8,7,3,6,1]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[7,3,1,5,8,2,4,6]=>[6,4,2,8,5,1,3,7]=>[4,6,8,5,2,7,3,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[4,3,5,1,6,8,2,7]=>[7,2,8,6,1,5,3,4]=>[2,7,6,8,3,1,5,4]=>[[.,[[[.,.],[.,.]],.]],[[.,.],.]]
[3,6,4,5,8,7,1,2]=>[2,1,7,8,5,4,6,3]=>[7,2,5,4,1,3,8,6]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[6,5,3,4,8,7,1,2]=>[2,1,7,8,4,3,5,6]=>[2,4,7,5,1,3,8,6]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]
[5,3,2,8,7,1,4,6]=>[6,4,1,7,8,2,3,5]=>[1,6,7,2,4,8,5,3]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[5,3,1,8,7,2,4,6]=>[6,4,2,7,8,1,3,5]=>[6,7,8,2,4,5,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[8,5,3,7,6,1,2,4]=>[4,2,1,6,7,3,5,8]=>[4,6,7,2,3,8,5,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[6,3,8,1,7,2,4,5]=>[5,4,2,7,1,8,3,6]=>[5,7,2,8,4,6,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[3,7,8,2,4,6,1,5]=>[5,1,6,4,2,8,7,3]=>[5,4,1,8,6,2,7,3]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[6,7,3,8,2,5,1,4]=>[4,1,5,2,8,3,7,6]=>[8,1,4,2,5,3,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,4,7,8,2,6,1,3]=>[3,1,6,2,8,7,4,5]=>[1,8,3,2,6,4,7,5]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]
[7,2,8,6,1,3,4,5]=>[5,4,3,1,6,8,2,7]=>[5,6,1,4,8,7,3,2]=>[[.,[.,.]],[[[.,[[.,.],.]],.],.]]
[8,2,7,6,1,3,4,5]=>[5,4,3,1,6,7,2,8]=>[5,6,1,7,8,4,3,2]=>[[.,[.,.]],[[[[.,[.,.]],.],.],.]]
[1,2,8,7,3,4,5,6]=>[6,5,4,3,7,8,2,1]=>[6,5,4,7,8,3,2,1]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]
[1,3,8,7,2,4,5,6]=>[6,5,4,2,7,8,3,1]=>[6,5,2,7,8,4,3,1]=>[[[[.,.],.],[[[.,[.,.]],.],.]],.]
[4,1,5,8,7,2,3,6]=>[6,3,2,7,8,5,1,4]=>[6,7,3,2,5,8,4,1]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]
[5,4,8,7,6,1,2,3]=>[3,2,1,6,7,8,4,5]=>[3,6,2,4,7,8,5,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[6,8,3,7,5,1,2,4]=>[4,2,1,5,7,3,8,6]=>[4,2,5,3,7,8,6,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[8,1,6,7,3,2,5,4]=>[4,5,2,3,7,6,1,8]=>[4,5,2,1,7,8,3,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[8,1,6,7,3,2,4,5]=>[5,4,2,3,7,6,1,8]=>[2,5,4,3,7,8,6,1]=>[[.,[[[.,.],.],[[.,[.,.]],.]]],.]
[8,1,5,3,7,2,4,6]=>[6,4,2,7,3,5,1,8]=>[2,6,4,7,3,8,5,1]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]
[8,1,5,3,6,2,4,7]=>[7,4,2,6,3,5,1,8]=>[2,7,4,6,3,8,5,1]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]
[7,5,1,3,6,2,4,8]=>[8,4,2,6,3,1,5,7]=>[2,4,8,6,3,7,5,1]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],.]
[7,5,8,3,6,2,4,1]=>[1,4,2,6,3,8,5,7]=>[1,4,2,6,3,8,5,7]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,4,8,3,2,6,5,1]=>[1,5,6,2,3,8,4,7]=>[1,5,2,6,8,3,4,7]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,4,1,3,2,6,5,8]=>[8,5,6,2,3,1,4,7]=>[2,5,8,6,7,3,4,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[8,1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1,8]=>[2,7,5,6,8,3,4,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[8,1,4,3,2,7,5,6]=>[6,5,7,2,3,4,1,8]=>[2,6,5,7,8,3,4,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[8,1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1,8]=>[5,6,2,7,8,1,3,4]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[8,1,5,4,6,7,2,3]=>[3,2,7,6,4,5,1,8]=>[3,7,4,6,2,1,8,5]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]
[8,1,5,3,6,2,7,4]=>[4,7,2,6,3,5,1,8]=>[2,7,4,6,3,8,1,5]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[8,1,4,3,2,6,7,5]=>[5,7,6,2,3,4,1,8]=>[2,7,5,6,8,3,1,4]=>[[.,[[[.,.],[.,[.,.]]],.]],[.,.]]
[8,1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1,8]=>[2,6,5,7,8,3,1,4]=>[[.,[[[.,.],[.,[.,.]]],.]],[.,.]]
[8,1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1,8]=>[2,7,3,6,8,5,4,1]=>[[.,[[.,.],[[[.,[.,.]],.],.]]],.]
[7,4,1,3,2,5,6,8]=>[8,6,5,2,3,1,4,7]=>[2,3,8,6,7,5,4,1]=>[[.,[.,[[[[.,.],[.,.]],.],.]]],.]
[7,4,8,3,2,5,6,1]=>[1,6,5,2,3,8,4,7]=>[1,6,2,3,8,5,4,7]=>[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]
[6,4,3,8,2,5,7,1]=>[1,7,5,2,8,3,4,6]=>[1,2,7,3,8,5,4,6]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
[6,4,3,1,2,5,8,7]=>[7,8,5,2,1,3,4,6]=>[2,3,7,8,5,4,1,6]=>[[.,[.,[[[.,[.,.]],.],.]]],[.,.]]
[7,4,1,3,2,5,8,6]=>[6,8,5,2,3,1,4,7]=>[2,3,6,5,8,4,1,7]=>[[.,[.,[[[.,.],[.,.]],.]]],[.,.]]
[7,4,1,3,2,6,8,5]=>[5,8,6,2,3,1,4,7]=>[2,5,8,6,7,3,1,4]=>[[.,[[.,[[.,.],[.,.]]],.]],[.,.]]
[7,5,1,3,6,2,8,4]=>[4,8,2,6,3,1,5,7]=>[2,4,8,6,3,7,1,5]=>[[.,[[.,[[.,.],.]],[.,.]]],[.,.]]
[7,5,1,4,6,8,2,3]=>[3,2,8,6,4,1,5,7]=>[3,4,8,6,2,1,7,5]=>[[[.,[.,[[.,.],.]]],.],[[.,.],.]]
[7,5,8,3,6,2,1,4]=>[4,1,2,6,3,8,5,7]=>[1,4,2,6,3,5,8,7]=>[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]
[7,4,8,3,2,6,1,5]=>[5,1,6,2,3,8,4,7]=>[1,5,2,3,6,4,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[7,4,8,3,2,5,1,6]=>[6,1,5,2,3,8,4,7]=>[1,6,2,3,8,5,7,4]=>[.,[[.,.],[.,[[[.,.],[.,.]],.]]]]
[6,4,3,8,2,5,1,7]=>[7,1,5,2,8,3,4,6]=>[1,2,7,3,8,5,6,4]=>[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]
[6,4,3,7,2,5,8,1]=>[1,8,5,2,7,3,4,6]=>[1,2,5,3,8,7,4,6]=>[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]
[5,4,3,2,8,6,1,7]=>[7,1,6,8,2,3,4,5]=>[1,2,7,8,3,4,6,5]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]
[5,4,3,2,8,7,1,6]=>[6,1,7,8,2,3,4,5]=>[1,2,6,7,3,4,8,5]=>[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]
[6,5,3,8,7,2,1,4]=>[4,1,2,7,8,3,5,6]=>[1,4,7,2,3,5,8,6]=>[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]
[6,5,4,8,7,1,2,3]=>[3,2,1,7,8,4,5,6]=>[3,4,7,2,5,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[6,5,4,1,7,8,2,3]=>[3,2,8,7,1,4,5,6]=>[3,4,5,8,2,1,7,6]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]
[6,5,3,1,7,2,8,4]=>[4,8,2,7,1,3,5,6]=>[2,4,5,8,3,7,1,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]
[6,4,3,1,2,7,8,5]=>[5,8,7,2,1,3,4,6]=>[2,3,5,8,7,4,1,6]=>[[.,[.,[[.,[[.,.],.]],.]]],[.,.]]
[5,4,3,2,1,8,6,7]=>[7,6,8,1,2,3,4,5]=>[1,2,3,7,8,4,6,5]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[6,5,3,1,8,2,7,4]=>[4,7,2,8,1,3,5,6]=>[2,4,7,8,3,5,1,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]
[6,5,4,1,8,7,2,3]=>[3,2,7,8,1,4,5,6]=>[3,4,7,8,2,5,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,5,1,4,8,6,2,3]=>[3,2,6,8,4,1,5,7]=>[3,4,6,2,1,5,8,7]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]
[7,4,1,3,2,8,6,5]=>[5,6,8,2,3,1,4,7]=>[2,5,6,3,8,1,4,7]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[6,4,3,1,2,8,5,7]=>[7,5,8,2,1,3,4,6]=>[2,3,7,8,5,4,6,1]=>[[.,[.,[[[.,[.,.]],.],[.,.]]]],.]
[6,4,3,1,2,7,5,8]=>[8,5,7,2,1,3,4,6]=>[2,3,5,8,7,4,6,1]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]
[6,4,3,8,2,7,5,1]=>[1,5,7,2,8,3,4,6]=>[1,5,7,2,8,3,4,6]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,5,3,8,7,2,4,1]=>[1,4,2,7,8,3,5,6]=>[1,4,7,2,3,8,5,6]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,5,3,1,7,2,4,8]=>[8,4,2,7,1,3,5,6]=>[2,4,5,8,3,7,6,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[6,5,3,1,8,2,4,7]=>[7,4,2,8,1,3,5,6]=>[2,4,7,8,5,6,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[7,5,1,3,8,2,4,6]=>[6,4,2,8,3,1,5,7]=>[2,4,6,5,3,8,7,1]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],.]
[7,6,1,8,3,2,4,5]=>[5,4,2,3,8,1,6,7]=>[2,5,8,4,6,7,3,1]=>[[.,[[[.,[.,.]],[.,[.,.]]],.]],.]
[7,6,1,8,4,5,2,3]=>[3,2,5,4,8,1,6,7]=>[3,5,6,2,4,1,8,7]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[7,6,8,1,4,5,2,3]=>[3,2,5,4,1,8,6,7]=>[3,5,2,6,4,1,8,7]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[7,6,8,1,3,2,5,4]=>[4,5,2,3,1,8,6,7]=>[4,5,2,6,3,8,1,7]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[6,5,3,7,8,2,4,1]=>[1,4,2,8,7,3,5,6]=>[1,2,8,4,3,7,5,6]=>[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]
[6,4,3,7,2,8,5,1]=>[1,5,8,2,7,3,4,6]=>[1,2,8,5,7,3,4,6]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[6,4,3,7,2,1,5,8]=>[8,5,1,2,7,3,4,6]=>[1,2,5,3,4,8,7,6]=>[.,[.,[[.,.],[.,[[[.,.],.],.]]]]]
[7,4,8,3,2,1,5,6]=>[6,5,1,2,3,8,4,7]=>[1,6,2,3,5,8,7,4]=>[.,[[.,.],[.,[[.,[[.,.],.]],.]]]]
[7,4,8,3,2,1,6,5]=>[5,6,1,2,3,8,4,7]=>[1,5,2,3,6,8,4,7]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[7,5,8,3,1,2,6,4]=>[4,6,2,1,3,8,5,7]=>[2,4,3,6,8,5,1,7]=>[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]
[7,5,8,4,1,6,2,3]=>[3,2,6,1,4,8,5,7]=>[3,4,2,6,8,5,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[6,5,4,8,1,7,2,3]=>[3,2,7,1,8,4,5,6]=>[3,4,7,2,8,5,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,5,3,8,1,2,7,4]=>[4,7,2,1,8,3,5,6]=>[2,4,7,3,8,5,1,6]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]
[5,4,3,2,8,1,7,6]=>[6,7,1,8,2,3,4,5]=>[1,2,6,7,3,8,4,5]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[6,4,3,7,2,1,8,5]=>[5,8,1,2,7,3,4,6]=>[1,2,8,3,5,7,4,6]=>[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]
[6,5,3,7,1,2,8,4]=>[4,8,2,1,7,3,5,6]=>[2,4,5,3,8,7,1,6]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]
[6,5,4,7,1,8,2,3]=>[3,2,8,1,7,4,5,6]=>[3,4,5,2,8,1,7,6]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[6,5,3,7,8,2,1,4]=>[4,1,2,8,7,3,5,6]=>[1,2,8,4,3,5,7,6]=>[.,[.,[[[.,.],.],[.,[[.,.],.]]]]]
[6,4,3,7,2,8,1,5]=>[5,1,8,2,7,3,4,6]=>[1,2,8,3,5,4,7,6]=>[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]
[5,4,3,2,7,8,1,6]=>[6,1,8,7,2,3,4,5]=>[1,2,3,8,6,4,7,5]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]
[5,4,3,2,6,8,1,7]=>[7,1,8,6,2,3,4,5]=>[1,2,3,7,6,4,8,5]=>[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]
[5,8,2,7,4,1,3,6]=>[6,3,1,4,7,2,8,5]=>[3,1,6,4,7,8,5,2]=>[[.,.],[[[.,.],[[.,[.,.]],.]],.]]
[5,3,7,8,2,1,4,6]=>[6,4,1,2,8,7,3,5]=>[1,6,4,2,3,8,7,5]=>[.,[[[.,.],.],[.,[[[.,.],.],.]]]]
[7,6,1,2,5,8,3,4]=>[4,3,8,5,2,1,6,7]=>[4,5,6,3,2,1,8,7]=>[[[[.,[.,[.,.]]],.],.],[[.,.],.]]
[2,1,7,8,4,3,5,6]=>[6,5,3,4,8,7,1,2]=>[6,8,3,1,5,7,4,2]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]
[5,8,7,4,2,1,6,3]=>[3,6,1,2,4,7,8,5]=>[3,1,2,6,7,8,4,5]=>[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]
[6,5,2,1,8,7,4,3]=>[3,4,7,8,1,2,5,6]=>[3,4,7,8,1,2,5,6]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[4,7,2,8,1,3,6,5]=>[5,6,3,1,8,2,7,4]=>[5,3,6,1,8,7,2,4]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[7,3,8,6,1,2,5,4]=>[4,5,2,1,6,8,3,7]=>[4,5,2,3,8,6,1,7]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]
[3,4,7,1,8,2,6,5]=>[5,6,2,8,1,7,4,3]=>[8,5,2,6,1,4,3,7]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[1,7,2,4,3,5,6,8]=>[8,6,5,3,4,2,7,1]=>[8,3,6,5,7,4,2,1]=>[[[[.,.],[[[.,.],[.,.]],.]],.],.]
[1,6,2,4,3,5,7,8]=>[8,7,5,3,4,2,6,1]=>[8,3,7,5,6,4,2,1]=>[[[[.,.],[[[.,.],[.,.]],.]],.],.]
[1,5,2,4,3,6,7,8]=>[8,7,6,3,4,2,5,1]=>[8,3,7,4,6,5,2,1]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[1,6,2,5,3,4,7,8]=>[8,7,4,3,5,2,6,1]=>[8,4,7,5,6,3,2,1]=>[[[[[.,.],[[.,.],[.,.]]],.],.],.]
[1,8,2,5,3,4,6,7]=>[7,6,4,3,5,2,8,1]=>[7,4,6,5,8,3,2,1]=>[[[[[.,.],[[.,.],[.,.]]],.],.],.]
[1,8,2,6,3,4,5,7]=>[7,5,4,3,6,2,8,1]=>[7,5,6,4,8,3,2,1]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]
[1,7,2,6,3,4,5,8]=>[8,5,4,3,6,2,7,1]=>[8,5,6,4,7,3,2,1]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]
[1,8,2,7,3,5,4,6]=>[6,4,5,3,7,2,8,1]=>[6,4,5,3,7,2,8,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,7,2,8,3,5,4,6]=>[6,4,5,3,8,2,7,1]=>[6,4,8,3,5,2,7,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,6,2,8,3,5,4,7]=>[7,4,5,3,8,2,6,1]=>[7,4,8,3,5,2,6,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,5,2,8,3,6,4,7]=>[7,4,6,3,8,2,5,1]=>[7,4,6,3,5,2,8,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,4,2,8,3,6,5,7]=>[7,5,6,3,8,2,4,1]=>[7,5,6,3,4,2,8,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,3,2,8,4,6,5,7]=>[7,5,6,4,8,2,3,1]=>[7,5,6,2,4,3,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[1,2,3,8,4,6,5,7]=>[7,5,6,4,8,3,2,1]=>[7,5,4,3,6,2,8,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[1,3,2,7,4,6,5,8]=>[8,5,6,4,7,2,3,1]=>[8,5,6,2,4,3,7,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[1,4,2,7,3,6,5,8]=>[8,5,6,3,7,2,4,1]=>[8,5,6,3,4,2,7,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,5,2,7,3,6,4,8]=>[8,4,6,3,7,2,5,1]=>[8,4,6,3,5,2,7,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,6,2,7,3,5,4,8]=>[8,4,5,3,7,2,6,1]=>[8,4,7,3,5,2,6,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,7,2,6,3,5,4,8]=>[8,4,5,3,6,2,7,1]=>[8,4,5,3,6,2,7,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,8,2,6,3,5,4,7]=>[7,4,5,3,6,2,8,1]=>[7,4,5,3,6,2,8,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,8,2,5,3,6,4,7]=>[7,4,6,3,5,2,8,1]=>[7,4,6,3,8,2,5,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,7,2,5,3,6,4,8]=>[8,4,6,3,5,2,7,1]=>[8,4,6,3,7,2,5,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,6,2,5,3,7,4,8]=>[8,4,7,3,5,2,6,1]=>[8,4,5,3,7,2,6,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,5,2,4,3,7,6,8]=>[8,6,7,3,4,2,5,1]=>[8,3,6,4,7,2,5,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[1,7,2,4,3,6,5,8]=>[8,5,6,3,4,2,7,1]=>[8,5,6,3,7,2,4,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,8,2,4,3,6,5,7]=>[7,5,6,3,4,2,8,1]=>[7,5,6,3,8,2,4,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,8,2,3,4,7,5,6]=>[6,5,7,4,3,2,8,1]=>[6,5,7,4,3,2,8,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]
[1,8,2,4,3,7,5,6]=>[6,5,7,3,4,2,8,1]=>[6,5,7,3,8,2,4,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,7,2,4,3,8,5,6]=>[6,5,8,3,4,2,7,1]=>[6,3,5,4,8,2,7,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[1,6,2,4,3,8,5,7]=>[7,5,8,3,4,2,6,1]=>[7,3,5,4,8,2,6,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[1,6,2,5,3,8,4,7]=>[7,4,8,3,5,2,6,1]=>[7,4,5,3,8,2,6,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,7,2,5,3,8,4,6]=>[6,4,8,3,5,2,7,1]=>[6,4,5,3,8,2,7,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,8,2,5,3,7,4,6]=>[6,4,7,3,5,2,8,1]=>[6,4,7,3,8,2,5,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,8,2,6,3,7,4,5]=>[5,4,7,3,6,2,8,1]=>[5,4,7,3,8,2,6,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,7,2,6,3,8,4,5]=>[5,4,8,3,6,2,7,1]=>[5,4,6,3,8,2,7,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,2,3,8,4,7,5,6]=>[6,5,7,4,8,3,2,1]=>[6,5,4,3,7,2,8,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[1,3,2,8,4,7,5,6]=>[6,5,7,4,8,2,3,1]=>[6,5,7,2,4,3,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[1,4,2,8,3,7,5,6]=>[6,5,7,3,8,2,4,1]=>[6,5,7,3,4,2,8,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,5,2,8,3,7,4,6]=>[6,4,7,3,8,2,5,1]=>[6,4,7,3,5,2,8,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,6,2,8,3,7,4,5]=>[5,4,7,3,8,2,6,1]=>[5,4,7,3,6,2,8,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,7,2,8,3,6,4,5]=>[5,4,6,3,8,2,7,1]=>[5,4,8,3,6,2,7,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]=>[5,4,6,3,7,2,8,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[4,6,3,7,2,5,1,8]=>[8,1,5,2,7,3,6,4]=>[8,1,5,2,7,3,6,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,6,3,7,5,2,1,8]=>[8,1,2,5,7,3,6,4]=>[8,5,7,1,2,3,6,4]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[5,6,8,3,4,1,2,7]=>[7,2,1,4,3,8,6,5]=>[7,2,1,4,3,8,6,5]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[4,6,2,7,5,3,1,8]=>[8,1,3,5,7,2,6,4]=>[8,3,7,1,2,5,6,4]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]
[5,6,8,4,3,1,7,2]=>[2,7,1,3,4,8,6,5]=>[7,2,1,3,6,8,4,5]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]
[5,6,8,4,3,1,2,7]=>[7,2,1,3,4,8,6,5]=>[7,2,1,3,4,8,6,5]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[5,7,8,4,1,6,2,3]=>[3,2,6,1,4,8,7,5]=>[3,2,1,6,8,4,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[5,7,8,4,1,6,3,2]=>[2,3,6,1,4,8,7,5]=>[8,2,1,6,7,3,4,5]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[3,2,6,8,5,1,7,4]=>[4,7,1,5,8,6,2,3]=>[7,8,4,1,5,6,2,3]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[3,2,6,8,5,1,4,7]=>[7,4,1,5,8,6,2,3]=>[4,7,5,1,2,8,6,3]=>[[.,[[.,.],.]],[.,[[[.,.],.],.]]]
[4,6,2,8,5,1,3,7]=>[7,3,1,5,8,2,6,4]=>[7,3,5,1,2,8,6,4]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[5,6,8,2,4,1,3,7]=>[7,3,1,4,2,8,6,5]=>[7,3,1,4,2,8,6,5]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[5,6,8,4,2,1,3,7]=>[7,3,1,2,4,8,6,5]=>[7,3,1,2,4,8,6,5]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[5,7,8,4,1,2,3,6]=>[6,3,2,1,4,8,7,5]=>[6,3,2,4,8,7,5,1]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]
[6,7,8,1,5,2,3,4]=>[4,3,2,5,1,8,7,6]=>[4,3,2,8,5,7,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[6,7,8,1,5,2,4,3]=>[3,4,2,5,1,8,7,6]=>[3,2,1,8,4,7,5,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[6,7,8,1,5,3,2,4]=>[4,2,3,5,1,8,7,6]=>[4,2,1,8,3,5,7,6]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[5,7,8,2,1,6,3,4]=>[4,3,6,1,2,8,7,5]=>[4,3,1,6,8,2,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[4,7,2,8,1,6,3,5]=>[5,3,6,1,8,2,7,4]=>[5,3,6,1,8,2,7,4]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,2,7,8,1,6,4,5]=>[5,4,6,1,8,7,2,3]=>[5,6,4,1,8,2,7,3]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[3,2,7,8,1,6,5,4]=>[4,5,6,1,8,7,2,3]=>[4,8,5,1,6,2,3,7]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[4,7,2,8,1,6,5,3]=>[3,5,6,1,8,2,7,4]=>[8,3,5,1,6,2,4,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[5,7,8,2,1,6,4,3]=>[3,4,6,1,2,8,7,5]=>[8,3,1,4,6,2,5,7]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[6,7,8,1,3,5,4,2]=>[2,4,5,3,1,8,7,6]=>[4,2,1,8,7,3,5,6]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[6,7,8,1,5,3,4,2]=>[2,4,3,5,1,8,7,6]=>[4,2,1,8,3,7,5,6]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[6,7,8,1,5,4,3,2]=>[2,3,4,5,1,8,7,6]=>[8,2,1,7,3,4,5,6]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[6,7,8,1,5,4,2,3]=>[3,2,4,5,1,8,7,6]=>[3,2,1,8,4,5,7,6]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[6,7,8,1,4,5,2,3]=>[3,2,5,4,1,8,7,6]=>[3,2,1,8,5,4,7,6]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[6,7,8,1,4,5,3,2]=>[2,3,5,4,1,8,7,6]=>[5,2,1,8,7,3,4,6]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[4,7,2,8,1,5,6,3]=>[3,6,5,1,8,2,7,4]=>[6,3,5,1,8,7,2,4]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[3,2,7,8,1,5,6,4]=>[4,6,5,1,8,7,2,3]=>[4,6,5,1,8,7,2,3]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[3,2,6,8,4,1,7,5]=>[5,7,1,4,8,6,2,3]=>[5,7,4,1,6,8,2,3]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[4,6,2,8,3,1,7,5]=>[5,7,1,3,8,2,6,4]=>[5,3,7,1,6,8,2,4]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[5,6,8,3,2,1,7,4]=>[4,7,1,2,3,8,6,5]=>[7,4,1,2,6,8,3,5]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]
[5,7,8,3,1,4,6,2]=>[2,6,4,1,3,8,7,5]=>[6,2,1,4,8,7,3,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[5,7,8,3,1,6,2,4]=>[4,2,6,1,3,8,7,5]=>[4,2,1,6,8,3,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[4,7,3,8,1,6,2,5]=>[5,2,6,1,8,3,7,4]=>[5,2,6,1,8,3,7,4]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[4,7,3,8,1,5,6,2]=>[2,6,5,1,8,3,7,4]=>[6,2,5,1,8,7,3,4]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[4,6,3,8,2,1,7,5]=>[5,7,1,2,8,3,6,4]=>[7,1,5,2,6,8,3,4]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[4,5,3,2,8,1,7,6]=>[6,7,1,8,2,3,5,4]=>[6,1,5,7,2,8,3,4]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[4,5,2,3,8,1,7,6]=>[6,7,1,8,3,2,5,4]=>[6,3,7,5,1,8,2,4]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[3,2,5,4,8,1,7,6]=>[6,7,1,8,4,5,2,3]=>[6,7,4,5,1,8,2,3]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[4,5,3,2,8,1,6,7]=>[7,6,1,8,2,3,5,4]=>[7,1,2,6,3,8,5,4]=>[[.,.],[.,[[.,.],[[[.,.],.],.]]]]
[4,6,3,8,2,1,5,7]=>[7,5,1,2,8,3,6,4]=>[7,1,5,2,3,8,6,4]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]
[4,7,3,8,1,5,2,6]=>[6,2,5,1,8,3,7,4]=>[6,2,5,1,8,3,7,4]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[4,7,3,8,1,2,6,5]=>[5,6,2,1,8,3,7,4]=>[5,2,6,1,8,7,3,4]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[5,7,8,3,1,2,6,4]=>[4,6,2,1,3,8,7,5]=>[4,2,1,6,8,7,3,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[5,6,8,3,2,1,4,7]=>[7,4,1,2,3,8,6,5]=>[7,4,1,2,3,8,6,5]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[5,7,8,2,1,4,3,6]=>[6,3,4,1,2,8,7,5]=>[6,3,1,4,8,2,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[6,7,8,1,3,4,2,5]=>[5,2,4,3,1,8,7,6]=>[5,4,2,8,7,3,6,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[6,7,8,1,4,3,2,5]=>[5,2,3,4,1,8,7,6]=>[5,2,1,8,3,4,7,6]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[6,7,8,1,4,2,5,3]=>[3,5,2,4,1,8,7,6]=>[3,2,1,8,5,7,4,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[6,7,8,1,4,2,3,5]=>[5,3,2,4,1,8,7,6]=>[5,3,2,8,4,7,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[6,7,8,1,2,5,4,3]=>[3,4,5,2,1,8,7,6]=>[3,2,1,8,7,4,5,6]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[6,7,8,1,3,2,5,4]=>[4,5,2,3,1,8,7,6]=>[4,2,1,8,5,7,3,6]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[5,7,8,2,1,3,6,4]=>[4,6,3,1,2,8,7,5]=>[4,3,1,6,8,7,2,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[3,2,7,8,1,4,6,5]=>[5,6,4,1,8,7,2,3]=>[5,6,4,1,8,7,2,3]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[1,3,7,5,2,6,4,8]=>[8,4,6,2,5,7,3,1]=>[8,6,4,5,7,2,3,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[1,3,7,5,4,2,6,8]=>[8,6,2,4,5,7,3,1]=>[8,6,2,4,5,7,3,1]=>[[[[.,.],.],[[.,[.,[.,.]]],.]],.]
[7,2,8,5,4,1,6,3]=>[3,6,1,4,5,8,2,7]=>[3,6,1,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[7,2,8,4,5,6,1,3]=>[3,1,6,5,4,8,2,7]=>[3,6,1,5,4,2,8,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[1,6,3,7,5,2,4,8]=>[8,4,2,5,7,3,6,1]=>[8,4,5,2,3,7,6,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[6,2,3,8,5,1,7,4]=>[4,7,1,5,8,3,2,6]=>[4,7,5,1,3,8,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[6,3,2,8,5,1,4,7]=>[7,4,1,5,8,2,3,6]=>[1,4,7,2,5,8,6,3]=>[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]
[7,4,8,2,5,6,3,1]=>[1,3,6,5,2,8,4,7]=>[3,6,1,8,5,2,4,7]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[6,4,8,5,1,3,7,2]=>[2,7,3,1,5,8,4,6]=>[2,7,1,3,8,5,4,6]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]
[6,3,7,5,2,1,8,4]=>[4,8,1,2,5,7,3,6]=>[4,8,1,2,5,7,3,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[4,3,7,5,1,2,8,6]=>[6,8,2,1,5,7,3,4]=>[2,6,1,5,8,7,3,4]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]
[4,3,7,1,5,6,8,2]=>[2,8,6,5,1,7,3,4]=>[2,6,1,8,7,5,3,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[3,6,1,7,5,2,8,4]=>[4,8,2,5,7,1,6,3]=>[8,4,7,2,5,6,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[3,6,5,7,1,4,8,2]=>[2,8,4,1,7,5,6,3]=>[8,2,4,1,7,5,3,6]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[5,3,1,8,6,4,7,2]=>[2,7,4,6,8,1,3,5]=>[2,4,7,1,3,6,5,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[5,6,1,8,7,2,4,3]=>[3,4,2,7,8,1,6,5]=>[3,2,7,1,4,6,5,8]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[6,5,8,4,2,3,7,1]=>[1,7,3,2,4,8,5,6]=>[1,7,3,4,8,5,2,6]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[6,2,5,8,3,7,1,4]=>[4,1,7,3,8,5,2,6]=>[1,4,3,2,7,5,8,6]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]
[1,6,5,7,3,4,2,8]=>[8,2,4,3,7,5,6,1]=>[8,2,4,3,7,5,6,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[1,5,2,7,4,6,3,8]=>[8,3,6,4,7,2,5,1]=>[8,6,7,3,4,2,5,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[5,2,1,8,7,6,3,4]=>[4,3,6,7,8,1,2,5]=>[4,6,7,1,3,5,8,2]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[7,1,3,8,4,6,2,5]=>[5,2,6,4,8,3,1,7]=>[5,6,4,2,3,1,8,7]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[2,3,4,8,6,1,7,5]=>[5,7,1,6,8,4,3,2]=>[7,5,4,3,6,8,1,2]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[2,7,3,5,8,6,1,4]=>[4,1,6,8,5,3,7,2]=>[6,4,5,3,1,2,8,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]
[3,2,4,7,8,6,1,5]=>[5,1,6,8,7,4,2,3]=>[5,8,6,4,1,2,7,3]=>[[[.,[[.,.],.]],.],[.,[[.,.],.]]]
[1,5,4,6,2,7,3,8]=>[8,3,7,2,6,4,5,1]=>[8,3,7,4,6,2,5,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[5,2,4,7,1,8,3,6]=>[6,3,8,1,7,4,2,5]=>[3,8,6,4,7,1,5,2]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[5,3,6,4,1,8,7,2]=>[2,7,8,1,4,6,3,5]=>[7,8,2,4,6,1,3,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[7,3,5,6,8,4,2,1]=>[1,2,4,8,6,5,3,7]=>[1,8,6,4,2,3,5,7]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[6,3,5,1,8,2,7,4]=>[4,7,2,8,1,5,3,6]=>[4,7,2,8,1,5,3,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,6,1,5,8,4,7,3]=>[3,7,4,8,5,1,6,2]=>[7,3,8,4,1,5,2,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[5,7,1,6,3,8,4,2]=>[2,4,8,3,6,1,7,5]=>[4,2,8,3,6,1,5,7]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[3,1,4,2,7,8,6,5]=>[5,6,8,7,2,4,1,3]=>[5,8,2,6,4,1,3,7]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]
[3,6,4,7,8,2,5,1]=>[1,5,2,8,7,4,6,3]=>[8,1,5,4,2,7,3,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[3,1,4,6,8,5,7,2]=>[2,7,5,8,6,4,1,3]=>[7,8,5,2,1,4,3,6]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]
[6,3,4,5,7,1,8,2]=>[2,8,1,7,5,4,3,6]=>[2,8,7,5,4,6,1,3]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]
[2,5,4,6,1,7,8,3]=>[3,8,7,1,6,4,5,2]=>[8,3,7,4,6,5,1,2]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[7,2,1,4,3,6,5,8]=>[8,5,6,3,4,1,2,7]=>[5,6,8,3,7,1,4,2]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[7,3,4,1,2,6,5,8]=>[8,5,6,2,1,4,3,7]=>[5,6,2,8,7,1,4,3]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[7,4,3,2,1,6,5,8]=>[8,5,6,1,2,3,4,7]=>[1,2,5,6,8,3,7,4]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[6,7,3,2,5,4,8,1]=>[1,8,4,5,2,3,7,6]=>[4,1,5,8,2,7,3,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[1,8,4,5,2,3,7,6]=>[6,7,3,2,5,4,8,1]=>[6,3,7,2,8,5,1,4]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[7,3,5,1,6,2,4,8]=>[8,4,2,6,1,5,3,7]=>[4,6,2,8,1,7,5,3]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[7,2,1,5,6,3,4,8]=>[8,4,3,6,5,1,2,7]=>[4,6,8,3,1,7,5,2]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[7,2,1,6,5,4,3,8]=>[8,3,4,5,6,1,2,7]=>[3,4,8,1,5,6,7,2]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[7,3,6,1,5,4,2,8]=>[8,2,4,5,1,6,3,7]=>[2,4,1,8,5,6,7,3]=>[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]
[1,8,5,4,3,2,7,6]=>[6,7,2,3,4,5,8,1]=>[6,2,3,4,7,8,1,5]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[1,8,6,4,3,7,2,5]=>[5,2,7,3,4,6,8,1]=>[5,2,3,4,7,1,8,6]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[6,4,7,5,1,3,8,2]=>[2,8,3,1,5,7,4,6]=>[2,5,1,3,8,7,4,6]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]
[6,3,7,1,5,4,8,2]=>[2,8,4,5,1,7,3,6]=>[2,4,1,8,3,7,5,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[3,2,1,8,5,4,7,6]=>[6,7,4,5,8,1,2,3]=>[6,7,8,1,4,5,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,3,8,1,5,4,7,6]=>[6,7,4,5,1,8,3,2]=>[6,4,3,7,5,8,1,2]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[2,4,8,5,1,3,7,6]=>[6,7,3,1,5,8,4,2]=>[6,5,3,7,8,4,1,2]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]
[2,5,8,4,3,1,7,6]=>[6,7,1,3,4,8,5,2]=>[6,3,1,2,7,8,4,5]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]
[2,6,8,4,3,7,1,5]=>[5,1,7,3,4,8,6,2]=>[5,3,1,2,7,4,8,6]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[2,7,8,4,3,6,5,1]=>[1,5,6,3,4,8,7,2]=>[5,3,1,6,8,2,4,7]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[2,7,8,5,6,3,4,1]=>[1,4,3,6,5,8,7,2]=>[4,3,1,6,2,8,5,7]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[2,6,8,5,7,3,1,4]=>[4,1,3,7,5,8,6,2]=>[4,3,1,7,2,5,8,6]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[3,2,1,8,6,7,4,5]=>[5,4,7,6,8,1,2,3]=>[5,7,8,1,4,2,6,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[5,2,1,7,6,8,4,3]=>[3,4,8,6,7,1,2,5]=>[3,4,8,1,6,2,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[5,3,7,1,6,8,4,2]=>[2,4,8,6,1,7,3,5]=>[2,4,1,8,6,3,5,7]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[4,5,7,6,8,1,3,2]=>[2,3,1,8,6,7,5,4]=>[8,6,2,3,1,5,4,7]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[4,6,7,5,8,3,1,2]=>[2,1,3,8,5,7,6,4]=>[8,7,2,3,1,5,6,4]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]
[1,8,5,6,7,2,3,4]=>[4,3,2,7,6,5,8,1]=>[4,3,7,2,1,8,6,5]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[4,7,5,6,8,2,3,1]=>[1,3,2,8,6,5,7,4]=>[8,1,6,3,2,5,4,7]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,6,5,7,8,2,1,3]=>[3,1,2,8,7,5,6,4]=>[8,1,7,3,2,5,6,4]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]
[5,4,6,7,1,8,2,3]=>[3,2,8,1,7,6,4,5]=>[3,8,4,2,7,1,6,5]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]
[6,2,1,5,7,3,8,4]=>[4,8,3,7,5,1,2,6]=>[4,5,8,7,3,6,1,2]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]
[6,3,5,1,7,2,8,4]=>[4,8,2,7,1,5,3,6]=>[4,8,5,7,2,6,1,3]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[6,4,5,7,1,2,8,3]=>[3,8,2,1,7,5,4,6]=>[3,8,5,2,7,6,1,4]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]
[6,5,4,7,2,1,8,3]=>[3,8,1,2,7,4,5,6]=>[1,3,8,4,5,7,2,6]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,6,4,7,2,8,1,3]=>[3,1,8,2,7,4,6,5]=>[8,1,7,3,4,2,6,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[1,8,4,6,2,7,3,5]=>[5,3,7,2,6,4,8,1]=>[5,3,7,2,8,1,6,4]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[1,8,3,2,6,7,4,5]=>[5,4,7,6,2,3,8,1]=>[5,4,7,8,2,1,6,3]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]
[5,7,3,2,6,8,4,1]=>[1,4,8,6,2,3,7,5]=>[4,1,6,8,7,2,3,5]=>[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]
[5,6,3,2,7,8,1,4]=>[4,1,8,7,2,3,6,5]=>[8,1,2,7,4,3,6,5]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]
[6,5,3,2,7,1,8,4]=>[4,8,1,7,2,3,5,6]=>[1,2,4,8,5,7,3,6]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[6,4,3,2,1,7,8,5]=>[5,8,7,1,2,3,4,6]=>[1,2,3,5,8,7,4,6]=>[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]
[6,2,1,4,3,7,8,5]=>[5,8,7,3,4,1,2,6]=>[3,5,8,4,7,6,1,2]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]
[5,2,1,4,3,8,7,6]=>[6,7,8,3,4,1,2,5]=>[6,7,8,3,4,1,2,5]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[5,3,4,1,2,8,7,6]=>[6,7,8,2,1,4,3,5]=>[6,7,2,8,4,1,3,5]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]
[4,6,3,2,8,7,1,5]=>[5,1,7,8,2,3,6,4]=>[7,1,5,6,2,3,8,4]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[4,7,3,2,8,6,5,1]=>[1,5,6,8,2,3,7,4]=>[8,5,6,7,1,2,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[1,8,4,7,2,6,5,3]=>[3,5,6,2,7,4,8,1]=>[3,2,5,1,6,4,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[3,6,4,8,2,7,1,5]=>[5,1,7,2,8,4,6,3]=>[5,1,4,2,7,3,8,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[3,5,4,8,2,1,7,6]=>[6,7,1,2,8,4,5,3]=>[6,1,4,2,7,8,3,5]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[4,3,5,1,8,2,7,6]=>[6,7,2,8,1,5,3,4]=>[6,7,2,8,1,5,3,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[4,2,1,6,8,7,3,5]=>[5,3,7,8,6,1,2,4]=>[5,7,8,3,1,2,6,4]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]
[4,3,6,1,8,7,2,5]=>[5,2,7,8,1,6,3,4]=>[5,7,2,8,1,3,6,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[3,4,6,8,1,7,2,5]=>[5,2,7,1,8,6,4,3]=>[7,5,2,1,6,4,8,3]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]
[3,5,6,8,7,1,2,4]=>[4,2,1,7,8,6,5,3]=>[7,4,2,1,6,8,5,3]=>[[[[.,.],.],.],[[[.,[.,.]],.],.]]
[3,6,5,8,7,2,1,4]=>[4,1,2,7,8,5,6,3]=>[7,4,5,1,2,3,8,6]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[3,7,5,8,6,2,4,1]=>[1,4,2,6,8,5,7,3]=>[6,4,5,1,2,8,3,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[1,8,5,7,6,2,4,3]=>[3,4,2,6,7,5,8,1]=>[3,2,4,1,6,7,5,8]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[1,8,6,7,5,4,2,3]=>[3,2,4,5,7,6,8,1]=>[3,2,4,1,5,7,8,6]=>[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]
[3,6,7,8,5,4,1,2]=>[2,1,4,5,8,7,6,3]=>[8,7,2,1,4,5,6,3]=>[[[[.,.],.],.],[[.,[.,[.,.]]],.]]
[3,4,7,8,1,6,5,2]=>[2,5,6,1,8,7,4,3]=>[8,5,2,1,4,3,6,7]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[4,2,1,7,8,6,5,3]=>[3,5,6,8,7,1,2,4]=>[3,5,8,6,1,2,4,7]=>[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]
[2,6,8,7,5,4,1,3]=>[3,1,4,5,7,8,6,2]=>[7,3,1,4,5,6,8,2]=>[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]
[2,1,4,3,6,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,6,3,4,1,2]=>[11,12,9,10,7,8,5,6,3,4,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]
[6,5,4,3,2,1,12,11,10,9,8,7]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,[.,[.,.]]]]]]
[7,4,6,1,8,3,5,2]=>[2,5,3,8,1,6,4,7]=>[2,5,3,8,1,6,4,7]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[4,6,2,1,7,5,8,3]=>[3,8,5,7,1,2,6,4]=>[8,3,5,7,1,6,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[1,4,6,2,7,5,8,3]=>[3,8,5,7,2,6,4,1]=>[8,7,3,5,2,4,1,6]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[1,7,5,2,6,8,4,3]=>[3,4,8,6,2,5,7,1]=>[8,3,4,6,2,1,5,7]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[7,5,2,1,6,8,4,3]=>[3,4,8,6,1,2,5,7]=>[3,4,6,8,7,1,2,5]=>[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]
[6,8,4,3,1,7,5,2]=>[2,5,7,1,3,4,8,6]=>[2,1,5,7,8,3,4,6]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[3,6,7,5,1,8,4,2]=>[2,4,8,1,5,7,6,3]=>[8,7,2,4,5,1,3,6]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[7,5,6,1,8,3,4,2]=>[2,4,3,8,1,6,5,7]=>[2,4,3,8,1,6,5,7]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[3,4,6,5,7,1,8,2]=>[2,8,1,7,5,6,4,3]=>[8,7,2,5,4,6,1,3]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[4,7,5,6,1,8,3,2]=>[2,3,8,1,6,5,7,4]=>[8,2,6,3,5,1,4,7]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[6,7,5,1,8,4,3,2]=>[2,3,4,8,1,5,7,6]=>[8,2,3,7,1,4,5,6]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[6,8,4,1,7,5,3,2]=>[2,3,5,7,1,4,8,6]=>[2,1,5,7,3,4,6,8]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[8,4,2,1,6,7,5,3]=>[3,5,7,6,1,2,4,8]=>[3,5,7,8,6,1,2,4]=>[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]
[1,8,4,2,6,7,5,3]=>[3,5,7,6,2,4,8,1]=>[7,3,5,6,2,1,4,8]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[1,5,3,2,7,6,8,4]=>[4,8,6,7,2,3,5,1]=>[8,4,6,7,2,3,1,5]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]
[5,3,2,1,7,6,8,4]=>[4,8,6,7,1,2,3,5]=>[1,4,6,8,2,7,3,5]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,5,3,1,7,6,8,4]=>[4,8,6,7,1,3,5,2]=>[8,4,6,7,1,3,2,5]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[2,7,5,1,6,8,4,3]=>[3,4,8,6,1,5,7,2]=>[8,3,4,6,5,1,2,7]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]
[2,4,6,1,7,5,8,3]=>[3,8,5,7,1,6,4,2]=>[8,7,3,5,1,4,2,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[4,7,1,6,5,8,2,3]=>[3,2,8,5,6,1,7,4]=>[3,2,8,5,6,1,7,4]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[4,8,2,6,5,7,1,3]=>[3,1,7,5,6,2,8,4]=>[3,1,7,5,6,2,8,4]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[4,6,1,2,7,5,8,3]=>[3,8,5,7,2,1,6,4]=>[3,2,8,7,1,5,4,6]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[7,5,1,2,6,8,4,3]=>[3,4,8,6,2,1,5,7]=>[3,4,8,6,2,1,5,7]=>[[[.,[.,[[.,.],.]]],.],[.,[.,.]]]
[5,3,1,2,7,6,8,4]=>[4,8,6,7,2,1,3,5]=>[4,6,8,7,2,3,1,5]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]
[1,2,5,3,7,6,8,4]=>[4,8,6,7,3,5,2,1]=>[8,4,3,6,2,5,1,7]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
[4,3,1,2,7,6,8,5]=>[5,8,6,7,2,1,3,4]=>[5,6,8,7,2,3,1,4]=>[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]
[3,5,1,2,7,6,8,4]=>[4,8,6,7,2,1,5,3]=>[4,2,8,6,1,5,3,7]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[7,6,1,5,8,3,2,4]=>[4,2,3,8,5,1,6,7]=>[2,4,5,3,1,6,8,7]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[3,6,7,1,5,8,2,4]=>[4,2,8,5,1,7,6,3]=>[8,4,2,7,5,1,6,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[7,1,6,5,8,2,4,3]=>[3,4,2,8,5,6,1,7]=>[3,4,2,5,1,8,6,7]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[8,4,1,6,7,5,2,3]=>[3,2,5,7,6,1,4,8]=>[3,5,7,2,1,6,8,4]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]
[3,5,2,1,7,6,8,4]=>[4,8,6,7,1,2,5,3]=>[8,4,6,7,1,5,2,3]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[1,7,6,2,5,8,3,4]=>[4,3,8,5,2,6,7,1]=>[4,3,5,6,2,1,8,7]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]
[7,6,2,1,5,8,3,4]=>[4,3,8,5,1,2,6,7]=>[4,5,6,8,3,1,7,2]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]
[8,3,1,5,7,6,2,4]=>[4,2,6,7,5,1,3,8]=>[4,6,7,2,1,5,8,3]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]
[6,2,4,1,7,5,8,3]=>[3,8,5,7,1,4,2,6]=>[3,8,5,7,1,4,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[6,2,5,1,7,4,8,3]=>[3,8,4,7,1,5,2,6]=>[3,8,4,7,1,5,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[6,1,5,2,7,4,8,3]=>[3,8,4,7,2,5,1,6]=>[3,8,4,7,2,5,1,6]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[7,6,2,5,8,3,1,4]=>[4,1,3,8,5,2,6,7]=>[1,4,5,3,2,6,8,7]=>[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]
[8,3,5,7,6,2,1,4]=>[4,1,2,6,7,5,3,8]=>[1,6,4,2,5,7,8,3]=>[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]
[6,1,4,2,7,5,8,3]=>[3,8,5,7,2,4,1,6]=>[3,8,5,7,2,4,1,6]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[8,2,6,5,7,1,4,3]=>[3,4,1,7,5,6,2,8]=>[3,7,4,5,1,6,2,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[3,6,8,2,5,7,1,4]=>[4,1,7,5,2,8,6,3]=>[7,4,1,8,5,2,6,3]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[8,3,2,5,7,6,1,4]=>[4,1,6,7,5,2,3,8]=>[4,6,7,5,1,2,8,3]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[5,1,3,2,7,6,8,4]=>[4,8,6,7,2,3,1,5]=>[4,8,6,7,2,3,1,5]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[4,1,3,2,7,6,8,5]=>[5,8,6,7,2,3,1,4]=>[5,8,6,7,2,3,1,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[4,2,1,3,7,6,8,5]=>[5,8,6,7,3,1,2,4]=>[5,6,8,7,1,3,2,4]=>[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]
[2,5,1,3,7,6,8,4]=>[4,8,6,7,3,1,5,2]=>[4,3,8,6,1,5,2,7]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[2,8,3,5,7,6,1,4]=>[4,1,6,7,5,3,8,2]=>[6,4,5,3,1,7,8,2]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]
[8,3,5,7,6,1,2,4]=>[4,2,1,6,7,5,3,8]=>[4,6,2,1,7,8,5,3]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]
[3,1,2,4,7,6,8,5]=>[5,8,6,7,4,2,1,3]=>[5,8,6,4,2,3,1,7]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]
[10,8,9,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,9,8,10]=>[4,7,3,9,6,2,10,8,5,1]=>[[[[.,[.,.]],[[.,.],.]],[[[.,.],.],.]],.]
[10,8,9,4,5,6,1,2,3,7]=>[7,3,2,1,6,5,4,9,8,10]=>[3,7,2,9,6,1,10,8,5,4]=>[[[.,[.,.]],[[.,.],.]],[[[[.,.],.],.],.]]
[10,7,8,5,6,9,1,2,3,4]=>[4,3,2,1,9,6,5,8,7,10]=>[4,6,3,9,5,2,10,8,7,1]=>[[[[.,[.,.]],[[.,.],.]],[[[.,.],.],.]],.]
[10,6,7,4,5,8,1,2,3,9]=>[9,3,2,1,8,5,4,7,6,10]=>[3,5,2,9,4,1,10,8,7,6]=>[[[.,[.,.]],[[.,.],.]],[[[[.,.],.],.],.]]
[10,7,8,3,4,9,1,2,5,6]=>[6,5,2,1,9,4,3,8,7,10]=>[2,6,1,9,5,4,10,8,7,3]=>[[.,[.,.]],[[[[.,.],.],[[[.,.],.],.]],.]]
[10,6,7,3,4,8,1,2,5,9]=>[9,5,2,1,8,4,3,7,6,10]=>[2,5,1,9,4,3,10,8,7,6]=>[[.,[.,.]],[[[.,.],.],[[[[.,.],.],.],.]]]
[9,8,10,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,10,8,9]=>[4,7,3,8,6,2,10,9,5,1]=>[[[[.,[.,.]],[[.,.],.]],[[[.,.],.],.]],.]
[9,8,10,4,5,6,1,2,3,7]=>[7,3,2,1,6,5,4,10,8,9]=>[3,7,2,8,6,1,10,9,5,4]=>[[[.,[.,.]],[[.,.],.]],[[[[.,.],.],.],.]]
[9,6,10,4,5,7,1,2,3,8]=>[8,3,2,1,7,5,4,10,6,9]=>[3,5,2,8,7,1,10,9,6,4]=>[[[.,[.,.]],[[.,.],.]],[[[[.,.],.],.],.]]
[8,7,9,5,6,10,1,2,3,4]=>[4,3,2,1,10,6,5,9,7,8]=>[4,6,3,7,5,2,10,9,8,1]=>[[[[.,[.,.]],[[.,.],.]],[[[.,.],.],.]],.]
[7,6,8,4,5,9,1,2,3,10]=>[10,3,2,1,9,5,4,8,6,7]=>[3,5,2,6,4,1,10,9,8,7]=>[[[.,[.,.]],[[.,.],.]],[[[[.,.],.],.],.]]
[8,7,9,3,4,10,1,2,5,6]=>[6,5,2,1,10,4,3,9,7,8]=>[2,6,1,7,5,4,10,9,8,3]=>[[.,[.,.]],[[[[.,.],.],[[[.,.],.],.]],.]]
[8,6,9,3,4,10,1,2,5,7]=>[7,5,2,1,10,4,3,9,6,8]=>[2,5,1,7,6,4,10,9,8,3]=>[[.,[.,.]],[[[[.,.],.],[[[.,.],.],.]],.]]
[7,6,8,3,4,9,1,2,5,10]=>[10,5,2,1,9,4,3,8,6,7]=>[2,5,1,6,4,3,10,9,8,7]=>[[.,[.,.]],[[[.,.],.],[[[[.,.],.],.],.]]]
[9,6,10,5,7,8,1,2,3,4]=>[4,3,2,1,8,7,5,10,6,9]=>[4,5,3,8,7,2,10,9,6,1]=>[[[[.,[.,.]],[[.,.],.]],[[[.,.],.],.]],.]
[9,5,10,4,6,7,1,2,3,8]=>[8,3,2,1,7,6,4,10,5,9]=>[3,4,2,8,7,1,10,9,6,5]=>[[[.,[.,.]],[[.,.],.]],[[[[.,.],.],.],.]]
[8,6,9,5,7,10,1,2,3,4]=>[4,3,2,1,10,7,5,9,6,8]=>[4,5,3,7,6,2,10,9,8,1]=>[[[[.,[.,.]],[[.,.],.]],[[[.,.],.],.]],.]
[7,5,8,4,6,9,1,2,3,10]=>[10,3,2,1,9,6,4,8,5,7]=>[3,4,2,6,5,1,10,9,8,7]=>[[[.,[.,.]],[[.,.],.]],[[[[.,.],.],.],.]]
[8,4,9,3,5,10,1,2,6,7]=>[7,6,2,1,10,5,3,9,4,8]=>[2,3,1,7,6,5,10,9,8,4]=>[[.,[.,.]],[[[[.,.],.],[[[.,.],.],.]],.]]
[7,4,8,3,5,9,1,2,6,10]=>[10,6,2,1,9,5,3,8,4,7]=>[2,3,1,6,5,4,10,9,8,7]=>[[.,[.,.]],[[[.,.],.],[[[[.,.],.],.],.]]]
[9,6,10,2,7,8,1,3,4,5]=>[5,4,3,1,8,7,2,10,6,9]=>[1,5,4,8,7,3,10,9,6,2]=>[.,[[[[.,.],[[.,.],.]],[[[.,.],.],.]],.]]
[9,5,10,2,6,7,1,3,4,8]=>[8,4,3,1,7,6,2,10,5,9]=>[1,4,3,8,7,2,10,9,6,5]=>[.,[[[.,.],[[.,.],.]],[[[[.,.],.],.],.]]]
[8,6,9,2,7,10,1,3,4,5]=>[5,4,3,1,10,7,2,9,6,8]=>[1,5,4,7,6,3,10,9,8,2]=>[.,[[[[.,.],[[.,.],.]],[[[.,.],.],.]],.]]
[7,5,8,2,6,9,1,3,4,10]=>[10,4,3,1,9,6,2,8,5,7]=>[1,4,3,6,5,2,10,9,8,7]=>[.,[[[.,.],[[.,.],.]],[[[[.,.],.],.],.]]]
[8,4,9,2,5,10,1,3,6,7]=>[7,6,3,1,10,5,2,9,4,8]=>[1,3,2,7,6,5,10,9,8,4]=>[.,[[.,.],[[[[.,.],.],[[[.,.],.],.]],.]]]
[7,4,8,2,5,9,1,3,6,10]=>[10,6,3,1,9,5,2,8,4,7]=>[1,3,2,6,5,4,10,9,8,7]=>[.,[[.,.],[[[.,.],.],[[[[.,.],.],.],.]]]]
[8,1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1,8]=>[5,7,6,3,8,2,4,1]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[8,1,3,5,6,2,7,4]=>[4,7,2,6,5,3,1,8]=>[4,7,6,5,2,8,1,3]=>[[[.,[[[.,.],.],.]],[.,.]],[.,.]]
[8,1,3,4,2,6,7,5]=>[5,7,6,2,4,3,1,8]=>[5,7,6,4,8,2,1,3]=>[[[[.,[[.,.],.]],[.,.]],.],[.,.]]
[8,1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1,8]=>[6,7,5,8,4,2,1,3]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]
[2,7,8,3,4,5,6,1]=>[1,6,5,4,3,8,7,2]=>[6,5,1,8,4,3,2,7]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[2,6,3,8,4,5,7,1]=>[1,7,5,4,8,3,6,2]=>[7,5,8,1,4,3,2,6]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[6,3,2,1,4,5,8,7]=>[7,8,5,4,1,2,3,6]=>[1,2,7,8,5,4,3,6]=>[.,[.,[[[[.,[.,.]],.],.],[.,.]]]]
[7,3,1,4,2,6,8,5]=>[5,8,6,2,4,1,3,7]=>[5,6,8,2,7,4,1,3]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[7,4,1,5,6,8,2,3]=>[3,2,8,6,5,1,4,7]=>[3,6,8,7,2,1,5,4]=>[[[.,[.,[[.,.],.]]],.],[[.,.],.]]
[4,7,8,5,6,1,2,3]=>[3,2,1,6,5,8,7,4]=>[3,2,1,6,5,8,7,4]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]
[3,7,8,5,6,2,1,4]=>[4,1,2,6,5,8,7,3]=>[6,4,1,5,2,3,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[3,7,8,4,2,6,1,5]=>[5,1,6,2,4,8,7,3]=>[5,4,1,2,6,3,8,7]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[3,7,8,2,4,5,1,6]=>[6,1,5,4,2,8,7,3]=>[6,5,1,8,7,2,4,3]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[3,6,2,8,4,5,1,7]=>[7,1,5,4,8,2,6,3]=>[7,5,8,1,6,2,4,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[2,3,6,7,4,5,8,1]=>[1,8,5,4,7,6,3,2]=>[8,5,4,1,7,3,2,6]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[3,5,2,4,8,6,1,7]=>[7,1,6,8,4,2,5,3]=>[7,4,8,6,1,2,5,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[3,5,4,2,8,7,1,6]=>[6,1,7,8,2,4,5,3]=>[6,1,4,7,2,3,8,5]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[4,6,5,8,7,1,2,3]=>[3,2,1,7,8,5,6,4]=>[3,2,7,1,5,8,6,4]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[6,4,5,1,7,8,2,3]=>[3,2,8,7,1,5,4,6]=>[3,8,5,7,2,1,6,4]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]
[7,4,1,2,3,8,5,6]=>[6,5,8,3,2,1,4,7]=>[3,6,8,5,4,2,7,1]=>[[[.,[[[.,[.,.]],.],.]],[.,.]],.]
[6,2,4,1,3,7,5,8]=>[8,5,7,3,1,4,2,6]=>[3,5,4,8,7,1,6,2]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]
[2,6,4,8,3,7,5,1]=>[1,5,7,3,8,4,6,2]=>[5,3,7,1,8,2,4,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[2,6,5,8,7,3,4,1]=>[1,4,3,7,8,5,6,2]=>[4,3,7,1,2,8,5,6]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[6,2,5,1,7,3,4,8]=>[8,4,3,7,1,5,2,6]=>[4,5,3,8,1,7,6,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[6,5,2,1,8,3,4,7]=>[7,4,3,8,1,2,5,6]=>[1,4,7,8,5,6,3,2]=>[.,[[[.,[[.,[.,.]],[.,.]]],.],.]]
[2,5,6,7,8,3,4,1]=>[1,4,3,8,7,6,5,2]=>[8,7,4,3,1,6,2,5]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[2,4,6,7,3,8,5,1]=>[1,5,8,3,7,6,4,2]=>[8,7,5,3,6,1,2,4]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[4,2,6,7,3,1,5,8]=>[8,5,1,3,7,6,2,4]=>[5,8,3,1,2,7,6,4]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[4,7,8,2,3,1,5,6]=>[6,5,1,3,2,8,7,4]=>[6,5,1,8,3,7,4,2]=>[[[.,.],.],[[[.,.],[[.,.],.]],.]]
[4,7,8,3,2,1,6,5]=>[5,6,1,2,3,8,7,4]=>[8,5,1,2,6,7,3,4]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]
[5,6,4,8,1,7,2,3]=>[3,2,7,1,8,4,6,5]=>[3,2,7,1,8,4,6,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[5,6,3,8,1,2,7,4]=>[4,7,2,1,8,3,6,5]=>[4,2,7,1,8,6,3,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[4,2,5,3,7,1,6,8]=>[8,6,1,7,3,5,2,4]=>[6,8,1,3,2,7,5,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[4,3,6,7,2,1,8,5]=>[5,8,1,2,7,6,3,4]=>[1,8,7,2,5,6,3,4]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[3,4,6,7,2,8,1,5]=>[5,1,8,2,7,6,4,3]=>[8,7,5,1,4,2,6,3]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[3,4,5,2,7,8,1,6]=>[6,1,8,7,2,5,4,3]=>[8,6,1,5,4,2,7,3]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[3,4,2,5,6,8,1,7]=>[7,1,8,6,5,2,4,3]=>[7,1,6,5,4,2,8,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[5,2,7,8,6,4,1,3]=>[3,1,4,6,8,7,2,5]=>[3,8,4,1,2,6,7,5]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[5,1,2,7,8,6,4,3]=>[3,4,6,8,7,2,1,5]=>[3,8,6,2,1,4,5,7]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]
[4,7,1,8,6,5,2,3]=>[3,2,5,6,8,1,7,4]=>[3,2,8,1,5,6,7,4]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]
[4,7,1,2,8,6,5,3]=>[3,5,6,8,2,1,7,4]=>[3,2,8,5,1,4,6,7]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[4,6,8,1,2,7,5,3]=>[3,5,7,2,1,8,6,4]=>[3,2,1,7,5,4,6,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[6,8,7,1,5,3,2,4]=>[4,2,3,5,1,7,8,6]=>[4,2,3,7,5,6,8,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[6,8,7,3,5,1,2,4]=>[4,2,1,5,3,7,8,6]=>[4,2,5,7,3,8,6,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[7,8,1,6,3,5,2,4]=>[4,2,5,3,6,1,8,7]=>[4,2,5,3,6,1,8,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[4,7,2,8,6,1,5,3]=>[3,5,1,6,8,2,7,4]=>[8,3,5,1,2,6,4,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[1,7,3,4,8,6,5,2]=>[2,5,6,8,4,3,7,1]=>[5,4,8,2,1,3,6,7]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[4,2,7,1,8,6,5,3]=>[3,5,6,8,1,7,2,4]=>[3,8,5,6,1,2,4,7]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[8,5,7,1,6,2,3,4]=>[4,3,2,6,1,7,5,8]=>[4,6,3,7,5,8,2,1]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[8,5,7,1,2,6,3,4]=>[4,3,6,2,1,7,5,8]=>[4,6,3,7,5,2,8,1]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[6,2,4,8,1,7,5,3]=>[3,5,7,1,8,4,2,6]=>[3,5,4,1,7,2,6,8]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[6,8,7,2,3,5,1,4]=>[4,1,5,3,2,7,8,6]=>[4,1,5,7,3,2,8,6]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[6,8,2,1,7,3,5,4]=>[4,5,3,7,1,2,8,6]=>[4,1,5,7,3,6,2,8]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[8,5,7,2,1,6,3,4]=>[4,3,6,1,2,7,5,8]=>[4,6,1,7,8,3,5,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]
[8,5,7,1,2,3,6,4]=>[4,6,3,2,1,7,5,8]=>[4,6,3,7,5,2,1,8]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]
[8,7,6,2,1,4,3,5]=>[5,3,4,1,2,6,7,8]=>[3,5,6,7,8,1,4,2]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[8,5,7,2,3,1,6,4]=>[4,6,1,3,2,7,5,8]=>[4,6,1,7,3,8,2,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[5,8,4,2,7,1,6,3]=>[3,6,1,7,2,4,8,5]=>[3,1,6,7,2,8,4,5]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[1,8,7,5,3,4,6,2]=>[2,6,4,3,5,7,8,1]=>[6,2,4,5,7,3,1,8]=>[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]
[8,5,2,7,3,1,6,4]=>[4,6,1,3,7,2,5,8]=>[4,6,7,1,3,8,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[8,7,6,1,2,4,3,5]=>[5,3,4,2,1,6,7,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[8,7,6,1,4,2,3,5]=>[5,3,2,4,1,6,7,8]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[8,7,6,4,1,3,2,5]=>[5,2,3,1,4,6,7,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[1,6,8,4,3,7,5,2]=>[2,5,7,3,4,8,6,1]=>[5,2,1,7,8,3,4,6]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[6,8,7,3,2,5,1,4]=>[4,1,5,2,3,7,8,6]=>[4,1,2,5,7,3,8,6]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]
[8,5,7,3,1,6,2,4]=>[4,2,6,1,3,7,5,8]=>[4,6,2,7,8,3,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,5,7,1,3,2,6,4]=>[4,6,2,3,1,7,5,8]=>[4,6,2,7,3,8,1,5]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[8,5,7,3,1,2,6,4]=>[4,6,2,1,3,7,5,8]=>[4,6,2,7,8,3,1,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]
[5,8,4,7,1,2,6,3]=>[3,6,2,1,7,4,8,5]=>[3,2,6,4,7,5,1,8]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[5,8,4,1,7,2,6,3]=>[3,6,2,7,1,4,8,5]=>[3,2,6,7,4,5,1,8]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]
[5,8,4,7,1,6,2,3]=>[3,2,6,1,7,4,8,5]=>[3,2,6,4,7,5,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[4,8,5,7,1,6,2,3]=>[3,2,6,1,7,5,8,4]=>[3,2,6,1,7,5,8,4]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[4,8,5,1,7,2,6,3]=>[3,6,2,7,1,5,8,4]=>[3,2,6,7,1,5,4,8]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[8,5,3,1,7,2,6,4]=>[4,6,2,7,1,3,5,8]=>[4,6,7,8,2,3,1,5]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[8,5,3,7,1,2,6,4]=>[4,6,2,1,7,3,5,8]=>[4,6,7,2,8,3,1,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[6,8,1,3,7,2,5,4]=>[4,5,2,7,3,1,8,6]=>[4,2,5,3,1,7,6,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[4,6,2,8,1,7,5,3]=>[3,5,7,1,8,2,6,4]=>[7,3,5,1,6,2,4,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[1,6,4,8,3,7,5,2]=>[2,5,7,3,8,4,6,1]=>[5,2,7,1,8,3,4,6]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[1,8,7,4,5,3,6,2]=>[2,6,3,5,4,7,8,1]=>[6,2,3,5,4,7,1,8]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]
[4,8,5,7,2,1,6,3]=>[3,6,1,2,7,5,8,4]=>[6,3,5,1,7,8,2,4]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[8,5,3,7,2,1,6,4]=>[4,6,1,2,7,3,5,8]=>[1,4,6,2,7,8,3,5]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,7,6,1,3,2,4,5]=>[5,4,2,3,1,6,7,8]=>[2,5,6,7,4,8,3,1]=>[[.,[[[.,[.,[.,.]]],[.,.]],.]],.]
[8,5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5,8]=>[1,4,6,7,2,8,3,5]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[1,8,7,4,3,5,6,2]=>[2,6,5,3,4,7,8,1]=>[6,2,3,5,7,4,1,8]=>[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]
[8,2,4,5,7,1,6,3]=>[3,6,1,7,5,4,2,8]=>[3,6,5,4,1,7,2,8]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[8,5,4,2,1,7,6,3]=>[3,6,7,1,2,4,5,8]=>[1,3,6,7,8,2,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[6,5,4,2,3,1,8,7]=>[7,8,1,3,2,4,5,6]=>[1,3,4,7,5,8,2,6]=>[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]
[6,3,2,5,1,4,8,7]=>[7,8,4,1,5,2,3,6]=>[1,4,7,5,8,6,2,3]=>[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]
[6,5,4,1,3,2,8,7]=>[7,8,2,3,1,4,5,6]=>[2,3,4,7,5,8,1,6]=>[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]
[8,5,4,1,2,7,6,3]=>[3,6,7,2,1,4,5,8]=>[3,6,7,8,2,1,4,5]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[8,7,4,1,6,5,3,2]=>[2,3,5,6,1,4,7,8]=>[2,3,5,6,1,4,7,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[8,5,4,3,1,7,6,2]=>[2,6,7,1,3,4,5,8]=>[2,3,6,7,8,1,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[8,3,2,5,1,7,6,4]=>[4,6,7,1,5,2,3,8]=>[4,6,7,5,8,1,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[2,1,8,5,3,7,6,4]=>[4,6,7,3,5,8,1,2]=>[4,6,3,5,7,1,2,8]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[8,3,2,5,1,7,4,6]=>[6,4,7,1,5,2,3,8]=>[1,6,7,4,8,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[8,7,4,1,6,5,2,3]=>[3,2,5,6,1,4,7,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,7,4,1,6,2,5,3]=>[3,5,2,6,1,4,7,8]=>[3,5,6,7,2,4,1,8]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[8,7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7,8]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[8,7,4,3,6,2,1,5]=>[5,1,2,6,3,4,7,8]=>[1,2,5,6,3,7,8,4]=>[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]
[8,3,2,7,6,4,1,5]=>[5,1,4,6,7,2,3,8]=>[1,5,6,2,4,7,8,3]=>[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]
[2,1,8,7,6,4,3,5]=>[5,3,4,6,7,8,1,2]=>[3,5,1,4,6,7,8,2]=>[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]
[2,1,8,7,6,4,5,3]=>[3,5,4,6,7,8,1,2]=>[3,5,1,4,6,7,2,8]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[8,3,2,7,6,4,5,1]=>[1,5,4,6,7,2,3,8]=>[1,5,6,2,4,7,3,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,7,4,3,6,2,5,1]=>[1,5,2,6,3,4,7,8]=>[1,2,5,6,3,7,4,8]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[8,7,6,5,2,4,3,1]=>[1,3,4,2,5,6,7,8]=>[1,3,4,5,6,2,7,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[8,7,4,2,6,5,3,1]=>[1,3,5,6,2,4,7,8]=>[1,3,5,6,2,4,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,7,4,2,6,3,5,1]=>[1,5,3,6,2,4,7,8]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[8,7,4,2,6,3,1,5]=>[5,1,3,6,2,4,7,8]=>[1,5,6,7,3,4,8,2]=>[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]
[8,3,1,7,6,4,2,5]=>[5,2,4,6,7,1,3,8]=>[2,5,6,1,4,7,8,3]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[8,3,1,7,6,4,5,2]=>[2,5,4,6,7,1,3,8]=>[2,5,6,1,4,7,3,8]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[8,3,1,7,6,5,4,2]=>[2,4,5,6,7,1,3,8]=>[2,4,5,1,3,6,7,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[8,3,1,5,4,7,6,2]=>[2,6,7,4,5,1,3,8]=>[2,6,7,4,5,1,3,8]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[8,3,1,5,4,7,2,6]=>[6,2,7,4,5,1,3,8]=>[2,6,7,4,5,1,8,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]
[8,3,1,7,6,5,2,4]=>[4,2,5,6,7,1,3,8]=>[4,5,6,2,3,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,7,4,2,6,1,5,3]=>[3,5,1,6,2,4,7,8]=>[3,5,6,7,1,8,2,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[8,7,4,2,6,5,1,3]=>[3,1,5,6,2,4,7,8]=>[3,5,6,7,1,2,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[8,5,4,2,3,7,1,6]=>[6,1,7,3,2,4,5,8]=>[1,3,6,7,4,2,8,5]=>[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]
[8,3,2,5,4,7,1,6]=>[6,1,7,4,5,2,3,8]=>[1,6,7,4,5,2,8,3]=>[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]
[8,3,2,7,6,5,1,4]=>[4,1,5,6,7,2,3,8]=>[4,5,6,1,2,7,8,3]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[8,7,4,3,6,5,1,2]=>[2,1,5,6,3,4,7,8]=>[2,5,6,7,1,3,8,4]=>[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]
[8,7,6,5,3,1,4,2]=>[2,4,1,3,5,6,7,8]=>[2,4,5,6,7,8,1,3]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[8,7,6,5,1,3,2,4]=>[4,2,3,1,5,6,7,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[8,7,6,5,1,3,4,2]=>[2,4,3,1,5,6,7,8]=>[2,4,5,6,7,3,1,8]=>[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]
[8,7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7,8]=>[2,3,4,5,6,1,7,8]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[8,7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7,8]=>[2,3,4,5,6,7,1,8]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[8,7,4,3,6,1,5,2]=>[2,5,1,6,3,4,7,8]=>[2,5,6,7,1,8,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[8,3,2,7,6,1,5,4]=>[4,5,1,6,7,2,3,8]=>[4,5,6,1,2,7,3,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[8,3,2,7,6,1,4,5]=>[5,4,1,6,7,2,3,8]=>[5,6,7,1,2,8,4,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]
[8,7,6,5,1,4,2,3]=>[3,2,4,1,5,6,7,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,7,6,5,1,2,4,3]=>[3,4,2,1,5,6,7,8]=>[3,4,5,6,7,2,1,8]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[7,3,5,1,8,4,6,2]=>[2,6,4,8,1,5,3,7]=>[2,6,4,8,1,5,3,7]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[7,3,4,1,8,5,6,2]=>[2,6,5,8,1,4,3,7]=>[2,6,5,8,1,4,3,7]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[1,6,5,2,7,4,3,8]=>[8,3,4,7,2,5,6,1]=>[8,3,4,7,2,5,6,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[7,4,3,1,8,6,5,2]=>[2,5,6,8,1,3,4,7]=>[2,5,6,8,1,3,4,7]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[7,6,5,1,8,4,3,2]=>[2,3,4,8,1,5,6,7]=>[2,3,4,8,1,5,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[7,6,4,1,8,5,3,2]=>[2,3,5,8,1,4,6,7]=>[2,3,5,8,1,4,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[6,4,2,1,8,7,5,3]=>[3,5,7,8,1,2,4,6]=>[3,5,7,8,1,2,4,6]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[1,6,4,2,7,5,3,8]=>[8,3,5,7,2,4,6,1]=>[8,3,5,7,2,4,6,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[1,5,3,2,7,6,4,8]=>[8,4,6,7,2,3,5,1]=>[8,4,6,7,2,3,5,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[5,3,2,1,8,7,6,4]=>[4,6,7,8,1,2,3,5]=>[4,6,7,8,1,2,3,5]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[2,6,4,1,7,8,5,3]=>[3,5,8,7,1,4,6,2]=>[8,3,5,7,4,1,2,6]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]
[2,6,5,1,7,8,4,3]=>[3,4,8,7,1,5,6,2]=>[8,3,4,7,5,1,2,6]=>[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]
[4,5,7,1,6,8,2,3]=>[3,2,8,6,1,7,5,4]=>[8,3,2,6,5,1,7,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[6,5,1,2,8,4,3,7]=>[7,3,4,8,2,1,5,6]=>[3,7,8,4,2,5,6,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[5,3,1,2,8,6,4,7]=>[7,4,6,8,2,1,3,5]=>[4,7,8,6,2,3,5,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[4,3,1,2,8,6,5,7]=>[7,5,6,8,2,1,3,4]=>[5,7,8,6,2,3,4,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[6,1,2,5,8,3,4,7]=>[7,4,3,8,5,2,1,6]=>[4,7,5,3,2,8,6,1]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]
[7,1,3,4,8,2,5,6]=>[6,5,2,8,4,3,1,7]=>[2,6,5,4,3,8,7,1]=>[[.,[[[[.,.],.],.],[[.,.],.]]],.]
[7,1,5,6,8,2,3,4]=>[4,3,2,8,6,5,1,7]=>[4,6,3,2,1,8,7,5]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[5,2,3,1,8,6,7,4]=>[4,7,6,8,1,3,2,5]=>[4,7,6,8,1,3,2,5]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[3,5,2,1,6,8,7,4]=>[4,7,8,6,1,2,5,3]=>[7,4,6,8,5,1,2,3]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]
[1,6,2,5,7,3,4,8]=>[8,4,3,7,5,2,6,1]=>[8,4,5,3,2,7,6,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]
[6,2,1,5,8,7,3,4]=>[4,3,7,8,5,1,2,6]=>[4,7,8,3,1,5,6,2]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]
[7,3,1,5,8,6,2,4]=>[4,2,6,8,5,1,3,7]=>[4,6,8,2,1,5,7,3]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]
[6,2,4,1,8,5,7,3]=>[3,7,5,8,1,4,2,6]=>[3,7,5,8,1,4,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[6,2,5,1,8,4,7,3]=>[3,7,4,8,1,5,2,6]=>[3,7,4,8,1,5,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[6,2,1,4,8,7,3,5]=>[5,3,7,8,4,1,2,6]=>[5,7,8,3,1,4,6,2]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]
[1,6,2,4,7,3,5,8]=>[8,5,3,7,4,2,6,1]=>[8,3,5,4,2,7,6,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[5,2,1,3,8,7,4,6]=>[6,4,7,8,3,1,2,5]=>[6,7,8,4,1,3,5,2]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]
[7,5,1,3,8,4,2,6]=>[6,2,4,8,3,1,5,7]=>[2,6,8,4,3,5,7,1]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[3,6,7,1,4,8,2,5]=>[5,2,8,4,1,7,6,3]=>[8,5,2,7,4,1,6,3]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[7,6,1,4,8,3,2,5]=>[5,2,3,8,4,1,6,7]=>[2,3,5,4,1,6,8,7]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]
[7,1,4,6,8,2,3,5]=>[5,3,2,8,6,4,1,7]=>[5,6,3,2,1,8,7,4]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[5,2,3,1,6,4,8,7]=>[7,8,4,6,1,3,2,5]=>[1,7,4,8,3,6,2,5]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[7,4,5,2,3,1,8,6]=>[6,8,1,3,2,5,4,7]=>[1,6,3,8,5,7,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,6,7,3,5,2,4,1]=>[1,4,2,5,3,7,6,8]=>[1,4,2,5,3,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,3,5,2,4,1,8,6]=>[6,8,1,4,2,5,3,7]=>[1,6,4,8,5,7,2,3]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,3,5,2,4,1,8,7]=>[7,8,1,4,2,5,3,6]=>[1,7,4,8,5,6,2,3]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,2,4,1,6,3,8,7]=>[7,8,3,6,1,4,2,5]=>[3,7,6,8,4,5,1,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[4,1,6,3,5,2,8,7]=>[7,8,2,5,3,6,1,4]=>[7,8,2,5,3,6,1,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[5,2,6,3,4,1,8,7]=>[7,8,1,4,3,6,2,5]=>[7,8,1,4,3,6,2,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[5,2,7,3,4,1,8,6]=>[6,8,1,4,3,7,2,5]=>[6,8,1,4,3,7,2,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[5,2,8,6,7,3,4,1]=>[1,4,3,7,6,8,2,5]=>[4,7,1,3,2,6,5,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[6,2,7,3,4,1,8,5]=>[5,8,1,4,3,7,2,6]=>[5,8,1,4,3,7,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[7,3,4,1,5,2,8,6]=>[6,8,2,5,1,4,3,7]=>[2,6,5,8,4,7,1,3]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[4,1,7,3,5,2,8,6]=>[6,8,2,5,3,7,1,4]=>[6,8,2,5,3,7,1,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[3,1,7,4,5,2,8,6]=>[6,8,2,5,4,7,1,3]=>[6,8,2,5,4,7,1,3]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[2,1,7,4,5,3,8,6]=>[6,8,3,5,4,7,1,2]=>[6,8,3,5,4,7,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[3,1,8,6,7,4,5,2]=>[2,5,4,7,6,8,1,3]=>[5,7,2,4,1,6,3,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[8,5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5,8]=>[2,6,1,7,4,8,3,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[8,5,6,2,7,3,4,1]=>[1,4,3,7,2,6,5,8]=>[1,4,3,7,2,6,5,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,4,7,3,5,1,6,2]=>[2,6,1,5,3,7,4,8]=>[2,6,1,7,5,8,3,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[5,1,8,4,7,3,6,2]=>[2,6,3,7,4,8,1,5]=>[6,7,2,3,1,8,4,5]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,1,8,5,7,4,6,3]=>[3,6,4,7,5,8,1,2]=>[6,7,3,4,1,5,2,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,1,7,4,6,3,8,5]=>[5,8,3,6,4,7,1,2]=>[5,8,3,6,4,7,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[3,1,7,4,6,2,8,5]=>[5,8,2,6,4,7,1,3]=>[5,8,2,6,4,7,1,3]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[4,1,7,3,6,2,8,5]=>[5,8,2,6,3,7,1,4]=>[5,8,2,6,3,7,1,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[5,1,7,3,6,2,8,4]=>[4,8,2,6,3,7,1,5]=>[4,8,2,6,3,7,1,5]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[6,2,7,3,5,1,8,4]=>[4,8,1,5,3,7,2,6]=>[4,8,1,5,3,7,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[6,2,8,4,7,3,5,1]=>[1,5,3,7,4,8,2,6]=>[5,7,1,3,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[8,4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4,8]=>[1,5,2,6,3,7,4,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,3,6,2,5,1,8,4]=>[4,8,1,5,2,6,3,7]=>[4,5,1,8,6,7,2,3]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[6,2,5,1,7,3,8,4]=>[4,8,3,7,1,5,2,6]=>[4,8,5,7,3,6,1,2]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[5,2,4,1,7,3,8,6]=>[6,8,3,7,1,4,2,5]=>[3,8,6,7,4,5,1,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[6,2,4,1,7,3,8,5]=>[5,8,3,7,1,4,2,6]=>[3,8,5,7,4,6,1,2]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[8,5,7,3,6,2,4,1]=>[1,4,2,6,3,7,5,8]=>[1,4,2,6,3,7,5,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,5,7,4,6,2,3,1]=>[1,3,2,6,4,7,5,8]=>[1,3,2,6,4,7,5,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,4,6,2,3,1,8,5]=>[5,8,1,3,2,6,4,7]=>[1,5,3,8,6,7,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,2,3,1,7,4,8,5]=>[5,8,4,7,1,3,2,6]=>[1,5,4,8,3,7,2,6]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[6,2,3,1,8,5,7,4]=>[4,7,5,8,1,3,2,6]=>[4,7,5,8,1,3,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[8,5,6,2,3,1,7,4]=>[4,7,1,3,2,6,5,8]=>[1,4,3,7,6,8,2,5]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,5,6,2,4,1,7,3]=>[3,7,1,4,2,6,5,8]=>[3,4,1,7,6,8,2,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[5,2,4,1,8,6,7,3]=>[3,7,6,8,1,4,2,5]=>[3,7,6,8,1,4,2,5]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[4,1,5,2,8,6,7,3]=>[3,7,6,8,2,5,1,4]=>[3,7,2,6,1,5,4,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[3,1,6,2,8,5,7,4]=>[4,7,5,8,2,6,1,3]=>[7,8,4,5,2,3,1,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[4,1,6,2,8,5,7,3]=>[3,7,5,8,2,6,1,4]=>[7,8,3,5,2,4,1,6]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[5,1,6,2,8,4,7,3]=>[3,7,4,8,2,6,1,5]=>[7,8,3,6,2,4,1,5]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[8,4,6,2,5,1,7,3]=>[3,7,1,5,2,6,4,8]=>[3,5,1,7,6,8,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[6,2,7,3,8,4,5,1]=>[1,5,4,8,3,7,2,6]=>[5,8,4,7,1,3,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[8,4,5,1,6,2,7,3]=>[3,7,2,6,1,5,4,8]=>[3,7,6,8,2,5,1,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[5,1,8,4,6,2,7,3]=>[3,7,2,6,4,8,1,5]=>[3,7,2,6,4,8,1,5]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[4,1,8,5,6,2,7,3]=>[3,7,2,6,5,8,1,4]=>[3,7,2,6,5,8,1,4]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[3,1,8,5,6,2,7,4]=>[4,7,2,6,5,8,1,3]=>[4,7,2,6,5,8,1,3]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[2,1,8,5,6,3,7,4]=>[4,7,3,6,5,8,1,2]=>[4,7,3,6,5,8,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[3,1,7,4,8,5,6,2]=>[2,6,5,8,4,7,1,3]=>[6,8,2,5,1,4,3,7]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[4,1,7,3,8,5,6,2]=>[2,6,5,8,3,7,1,4]=>[6,8,5,7,2,3,1,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[7,3,8,4,5,1,6,2]=>[2,6,1,5,4,8,3,7]=>[2,6,1,5,4,8,3,7]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[8,4,5,1,7,3,6,2]=>[2,6,3,7,1,5,4,8]=>[2,6,3,7,1,5,4,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[7,3,6,2,8,4,5,1]=>[1,5,4,8,2,6,3,7]=>[1,5,4,8,2,6,3,7]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[7,8,5,6,1,3,4,2]=>[2,4,3,1,6,5,8,7]=>[4,2,6,3,8,5,1,7]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[7,8,1,3,6,2,5,4]=>[4,5,2,6,3,1,8,7]=>[4,2,5,3,1,8,6,7]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[1,3,8,4,7,2,5,6]=>[6,5,2,7,4,8,3,1]=>[6,5,4,7,2,8,3,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[3,6,1,4,7,2,5,8]=>[8,5,2,7,4,1,6,3]=>[5,2,8,4,1,7,6,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[4,6,1,2,5,7,3,8]=>[8,3,7,5,2,1,6,4]=>[3,2,8,7,5,4,6,1]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]
[1,4,8,2,5,7,3,6]=>[6,3,7,5,2,8,4,1]=>[6,3,2,7,5,1,8,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[7,8,2,4,5,6,1,3]=>[3,1,6,5,4,2,8,7]=>[3,1,6,5,4,2,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[7,8,1,5,4,6,3,2]=>[2,3,6,4,5,1,8,7]=>[6,2,8,3,4,1,5,7]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[7,8,2,1,6,3,4,5]=>[5,4,3,6,1,2,8,7]=>[5,1,6,8,4,7,3,2]=>[[.,.],[[[[.,[.,.]],[.,.]],.],.]]
[7,8,3,5,6,4,1,2]=>[2,1,4,6,5,3,8,7]=>[2,1,6,4,3,5,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[7,8,1,4,2,3,6,5]=>[5,6,3,2,4,1,8,7]=>[5,3,6,4,8,2,1,7]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]
[7,8,5,1,4,2,6,3]=>[3,6,2,4,1,5,8,7]=>[3,2,4,6,5,8,1,7]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]
[7,8,4,5,3,1,6,2]=>[2,6,1,3,5,4,8,7]=>[2,1,6,3,5,8,4,7]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[1,5,8,4,3,2,7,6]=>[6,7,2,3,4,8,5,1]=>[6,2,1,3,7,8,4,5]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]
[5,6,1,4,3,2,7,8]=>[8,7,2,3,4,1,6,5]=>[2,1,8,3,4,7,6,5]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]
[2,6,4,8,3,7,1,5]=>[5,1,7,3,8,4,6,2]=>[5,1,3,2,7,4,8,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[1,4,6,8,3,7,5,2]=>[2,5,7,3,8,6,4,1]=>[7,5,2,1,6,3,4,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[2,4,8,5,3,1,6,7]=>[7,6,1,3,5,8,4,2]=>[7,6,1,3,5,8,4,2]=>[[[.,.],.],[[.,[[.,[.,.]],.]],.]]
[2,5,8,1,4,7,6,3]=>[3,6,7,4,1,8,5,2]=>[6,3,1,7,4,2,5,8]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[3,5,8,4,7,6,1,2]=>[2,1,6,7,4,8,5,3]=>[6,2,1,4,3,7,8,5]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]
[1,6,2,4,7,3,8,5]=>[5,8,3,7,4,2,6,1]=>[8,3,5,4,2,7,1,6]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[5,6,2,1,4,7,8,3]=>[3,8,7,4,1,2,6,5]=>[3,1,4,8,7,6,2,5]=>[[.,.],[[.,[[[.,.],.],.]],[.,.]]]
[4,6,2,5,3,1,8,7]=>[7,8,1,3,5,2,6,4]=>[7,1,8,3,5,6,2,4]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[4,7,5,1,3,6,8,2]=>[2,8,6,3,1,5,7,4]=>[2,1,3,8,6,5,4,7]=>[[.,.],[.,[[[[.,.],.],.],[.,.]]]]
[7,5,3,6,2,4,1,8]=>[8,1,4,2,6,3,5,7]=>[1,2,4,3,8,6,7,5]=>[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]
[5,7,3,6,1,4,8,2]=>[2,8,4,1,6,3,7,5]=>[2,1,4,3,8,6,5,7]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[5,3,6,7,2,1,8,4]=>[4,8,1,2,7,6,3,5]=>[1,8,7,2,4,6,3,5]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[6,1,7,5,2,4,8,3]=>[3,8,4,2,5,7,1,6]=>[3,8,2,4,7,5,1,6]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]
[6,3,1,2,4,5,8,7]=>[7,8,5,4,2,1,3,6]=>[2,7,8,5,4,3,1,6]=>[[.,[[[[.,[.,.]],.],.],.]],[.,.]]
[1,4,7,2,5,3,8,6]=>[6,8,3,5,2,7,4,1]=>[6,3,2,8,5,7,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[4,6,7,8,3,5,1,2]=>[2,1,5,3,8,7,6,4]=>[8,7,2,1,5,3,6,4]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[3,6,1,8,4,2,5,7]=>[7,5,2,4,8,1,6,3]=>[7,2,8,1,5,6,4,3]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]
[1,6,7,5,8,2,4,3]=>[3,4,2,8,5,7,6,1]=>[8,3,2,4,1,7,5,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[3,5,6,7,8,1,4,2]=>[2,4,1,8,7,6,5,3]=>[8,7,6,2,1,4,3,5]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[3,6,5,7,8,2,1,4]=>[4,1,2,8,7,5,6,3]=>[8,1,7,4,2,5,6,3]=>[[.,.],[[[.,.],.],[[.,[.,.]],.]]]
[5,2,7,6,1,4,3,8]=>[8,3,4,1,6,7,2,5]=>[3,4,1,2,8,6,7,5]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]
[2,5,7,6,8,1,3,4]=>[4,3,1,8,6,7,5,2]=>[8,4,3,6,1,7,5,2]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[2,7,5,6,8,4,1,3]=>[3,1,4,8,6,5,7,2]=>[8,3,6,4,1,5,7,2]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[2,1,6,8,4,5,3,7]=>[7,3,5,4,8,6,1,2]=>[7,8,3,1,5,4,6,2]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]
[2,7,1,8,5,3,4,6]=>[6,4,3,5,8,1,7,2]=>[6,4,8,1,5,7,3,2]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]
[3,7,6,8,5,4,1,2]=>[2,1,4,5,8,6,7,3]=>[8,2,4,1,5,6,7,3]=>[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]
[4,3,8,5,6,7,1,2]=>[2,1,7,6,5,8,3,4]=>[2,7,1,6,5,3,8,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[4,2,8,1,6,3,7,5]=>[5,7,3,6,1,8,2,4]=>[5,7,1,8,3,6,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[3,1,8,5,4,6,7,2]=>[2,7,6,4,5,8,1,3]=>[2,7,1,4,6,5,3,8]=>[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]
[3,2,8,4,5,6,1,7]=>[7,1,6,5,4,8,2,3]=>[7,8,1,6,5,2,4,3]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[3,4,2,8,6,1,7,5]=>[5,7,1,6,8,2,4,3]=>[7,5,6,1,4,8,2,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[3,4,7,1,5,2,6,8]=>[8,6,2,5,1,7,4,3]=>[8,2,1,6,5,7,4,3]=>[[[.,.],.],[[[[.,.],[.,.]],.],.]]
[4,3,7,8,1,2,6,5]=>[5,6,2,1,8,7,3,4]=>[5,6,2,1,8,7,3,4]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[1,7,3,8,5,2,6,4]=>[4,6,2,5,8,3,7,1]=>[6,4,5,2,3,8,1,7]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[4,1,8,3,6,2,5,7]=>[7,5,2,6,3,8,1,4]=>[5,7,2,6,3,8,4,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,7,8,6,3,2,1,4]=>[4,1,2,3,6,8,7,5]=>[8,4,1,2,3,6,7,5]=>[[[.,.],.],[.,[.,[[.,[.,.]],.]]]]
[5,7,8,6,1,3,4,2]=>[2,4,3,1,6,8,7,5]=>[4,2,1,3,8,6,5,7]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[7,6,5,8,1,3,4,2]=>[2,4,3,1,8,5,6,7]=>[2,4,5,3,8,6,1,7]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]
[1,6,4,3,8,2,5,7]=>[7,5,2,8,3,4,6,1]=>[7,2,3,5,4,8,6,1]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]
[7,1,3,4,8,2,6,5]=>[5,6,2,8,4,3,1,7]=>[5,6,4,2,1,8,3,7]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]
[3,6,5,4,1,2,7,8]=>[8,7,2,1,4,5,6,3]=>[2,1,4,5,8,7,6,3]=>[[.,.],[[.,[.,[[[.,.],.],.]]],.]]
[2,4,5,1,7,8,6,3]=>[3,6,8,7,1,5,4,2]=>[8,6,3,5,4,1,2,7]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[2,6,3,4,5,8,1,7]=>[7,1,8,5,4,3,6,2]=>[7,1,5,4,3,2,8,6]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[2,6,4,1,8,3,7,5]=>[5,7,3,8,1,4,6,2]=>[5,3,7,8,1,4,2,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[7,3,6,4,8,5,1,2]=>[2,1,5,8,4,6,3,7]=>[2,5,4,6,1,3,8,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[7,2,1,4,8,3,5,6]=>[6,5,3,8,4,1,2,7]=>[3,6,8,5,1,7,4,2]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]
[7,1,6,5,3,8,4,2]=>[2,4,8,3,5,6,1,7]=>[2,4,3,5,8,1,6,7]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[7,2,5,6,3,8,1,4]=>[4,1,8,3,6,5,2,7]=>[1,8,4,3,6,2,7,5]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[6,5,2,7,1,8,4,3]=>[3,4,8,1,7,2,5,6]=>[3,4,8,5,7,1,2,6]=>[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]
[5,6,2,7,3,1,4,8]=>[8,4,1,3,7,2,6,5]=>[4,3,8,1,2,7,6,5]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[5,6,7,4,2,8,1,3]=>[3,1,8,2,4,7,6,5]=>[8,7,1,3,4,2,6,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[5,7,6,4,1,8,3,2]=>[2,3,8,1,4,6,7,5]=>[8,2,3,4,6,1,5,7]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[6,7,1,5,2,8,3,4]=>[4,3,8,2,5,1,7,6]=>[4,3,8,5,7,2,6,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[1,7,5,2,4,8,3,6]=>[6,3,8,4,2,5,7,1]=>[6,3,4,5,2,1,8,7]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]
[6,1,5,2,8,3,4,7]=>[7,4,3,8,2,5,1,6]=>[4,7,5,8,3,6,2,1]=>[[[[.,[[.,.],[.,.]]],[.,.]],.],.]
[6,7,5,3,8,4,1,2]=>[2,1,4,8,3,5,7,6]=>[8,2,4,5,1,3,7,6]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[1,6,5,4,2,3,8,7]=>[7,8,3,2,4,5,6,1]=>[7,3,4,5,8,2,1,6]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]
[7,1,5,3,4,2,8,6]=>[6,8,2,4,3,5,1,7]=>[2,6,4,5,3,8,1,7]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[7,6,1,5,3,2,8,4]=>[4,8,2,3,5,1,6,7]=>[2,4,5,3,6,8,1,7]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]
[7,5,6,4,1,2,8,3]=>[3,8,2,1,4,6,5,7]=>[3,4,2,6,8,7,1,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]
[6,7,5,4,3,1,8,2]=>[2,8,1,3,4,5,7,6]=>[8,2,3,4,5,7,1,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[7,5,2,4,3,1,6,8]=>[8,6,1,3,4,2,5,7]=>[1,3,8,4,6,7,5,2]=>[.,[[.,[[.,.],[[.,[.,.]],.]]],.]]
[7,4,6,1,2,5,3,8]=>[8,3,5,2,1,6,4,7]=>[3,5,2,8,6,4,7,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[7,1,4,2,5,3,6,8]=>[8,6,3,5,2,4,1,7]=>[3,8,6,7,2,5,4,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[6,8,1,4,2,5,7,3]=>[3,7,5,2,4,1,8,6]=>[3,2,7,5,8,4,1,6]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]
[1,6,4,2,5,7,3,8]=>[8,3,7,5,2,4,6,1]=>[8,3,5,7,6,2,4,1]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]
[1,6,3,7,5,4,2,8]=>[8,2,4,5,7,3,6,1]=>[8,4,7,2,3,5,6,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[6,8,1,3,7,5,4,2]=>[2,4,5,7,3,1,8,6]=>[4,2,7,3,1,5,6,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[7,1,3,5,6,4,2,8]=>[8,2,4,6,5,3,1,7]=>[2,8,6,4,3,5,7,1]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[7,3,1,6,4,5,2,8]=>[8,2,5,4,6,1,3,7]=>[2,5,8,1,6,4,7,3]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]
[7,4,2,6,5,1,3,8]=>[8,3,1,5,6,2,4,7]=>[3,5,6,1,2,8,7,4]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]
[7,2,4,1,5,3,6,8]=>[8,6,3,5,1,4,2,7]=>[3,8,6,7,1,5,4,2]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]
[7,2,3,5,4,1,6,8]=>[8,6,1,4,5,3,2,7]=>[1,8,6,4,5,7,3,2]=>[.,[[[[[.,.],.],[.,[.,.]]],.],.]]
[6,8,1,2,3,4,7,5]=>[5,7,4,3,2,1,8,6]=>[5,4,7,6,3,2,1,8]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]
[1,5,7,2,3,8,6,4]=>[4,6,8,3,2,7,5,1]=>[4,3,2,8,6,1,5,7]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[5,1,8,2,3,6,7,4]=>[4,7,6,3,2,8,1,5]=>[4,7,3,6,5,2,1,8]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]
[5,8,2,3,7,6,4,1]=>[1,4,6,7,3,2,8,5]=>[4,1,6,3,2,5,7,8]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[6,2,8,1,3,7,4,5]=>[5,4,7,3,1,8,2,6]=>[5,7,1,8,4,3,6,2]=>[[.,[.,.]],[[[[.,.],.],[.,.]],.]]
[6,8,2,3,5,4,7,1]=>[1,7,4,5,3,2,8,6]=>[7,1,8,4,3,5,2,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[6,8,2,4,1,5,7,3]=>[3,7,5,1,4,2,8,6]=>[3,1,7,5,8,4,2,6]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[6,8,3,1,2,4,7,5]=>[5,7,4,2,1,3,8,6]=>[5,2,7,8,4,3,1,6]=>[[[.,.],[[[.,[.,.]],.],.]],[.,.]]
[2,6,4,1,5,7,3,8]=>[8,3,7,5,1,4,6,2]=>[8,3,5,7,6,1,4,2]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]
[2,6,3,5,7,1,4,8]=>[8,4,1,7,5,3,6,2]=>[8,4,7,5,1,6,3,2]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[2,5,1,7,8,3,6,4]=>[4,6,3,8,7,1,5,2]=>[8,4,6,3,1,5,2,7]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[2,5,3,6,8,4,7,1]=>[1,7,4,8,6,3,5,2]=>[7,4,8,3,1,6,2,5]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[2,1,4,7,8,5,6,3]=>[3,6,5,8,7,4,1,2]=>[6,8,5,3,1,4,2,7]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]
[2,4,7,6,8,5,1,3]=>[3,1,5,8,6,7,4,2]=>[8,5,3,4,1,6,7,2]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]
[2,5,3,7,6,1,8,4]=>[4,8,1,6,7,3,5,2]=>[8,4,6,1,3,7,2,5]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[2,5,7,8,1,4,6,3]=>[3,6,4,1,8,7,5,2]=>[8,6,3,1,7,4,2,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[3,5,7,4,1,6,2,8]=>[8,2,6,1,4,7,5,3]=>[8,2,1,6,7,4,5,3]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]
[5,3,4,1,8,6,7,2]=>[2,7,6,8,1,4,3,5]=>[2,7,6,8,1,4,3,5]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[5,2,8,4,6,1,7,3]=>[3,7,1,6,4,8,2,5]=>[3,7,1,6,4,8,2,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[5,2,1,8,6,3,7,4]=>[4,7,3,6,8,1,2,5]=>[4,7,8,1,3,6,2,5]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,2,8,6,5,3,7,1]=>[1,7,3,5,6,8,2,4]=>[3,7,1,2,5,6,4,8]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[4,2,8,5,7,6,3,1]=>[1,3,6,7,5,8,2,4]=>[3,6,1,5,2,4,7,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[1,4,2,7,5,8,6,3]=>[3,6,8,5,7,2,4,1]=>[6,3,8,2,5,1,4,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[4,1,8,6,7,5,3,2]=>[2,3,5,7,6,8,1,4]=>[2,7,1,5,3,4,6,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[5,3,8,7,6,2,4,1]=>[1,4,2,6,7,8,3,5]=>[4,6,1,2,3,7,5,8]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[5,8,4,7,6,2,1,3]=>[3,1,2,6,7,4,8,5]=>[3,1,6,2,4,7,8,5]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]
[5,8,7,4,3,6,1,2]=>[2,1,6,3,4,7,8,5]=>[2,1,3,6,7,4,8,5]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]
[6,4,8,3,1,7,2,5]=>[5,2,7,1,3,8,4,6]=>[2,5,3,7,8,4,6,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[6,4,2,8,7,1,3,5]=>[5,3,1,7,8,2,4,6]=>[1,5,7,3,4,8,6,2]=>[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]
[6,3,8,7,2,5,1,4]=>[4,1,5,2,7,8,3,6]=>[4,5,1,2,7,3,8,6]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]=>[2,1,4,3,6,5,7,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,3,8,6,7,2,4]=>[4,2,7,6,8,3,1,5]=>[4,7,6,2,3,1,8,5]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]
[1,5,3,7,8,6,2,4]=>[4,2,6,8,7,3,5,1]=>[8,4,6,2,1,3,7,5]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]
[1,5,7,6,4,2,8,3]=>[3,8,2,4,6,7,5,1]=>[8,3,2,4,6,7,1,5]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[5,8,7,4,1,6,2,3]=>[3,2,6,1,4,7,8,5]=>[3,2,6,7,8,4,5,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[6,4,8,1,2,7,3,5]=>[5,3,7,2,1,8,4,6]=>[5,7,3,8,4,2,6,1]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[6,8,5,1,2,3,7,4]=>[4,7,3,2,1,5,8,6]=>[4,3,7,8,5,2,1,6]=>[[[[.,.],[[.,[.,.]],.]],.],[.,.]]
[6,8,5,2,4,3,7,1]=>[1,7,3,4,2,5,8,6]=>[7,1,3,8,4,5,2,6]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[6,8,5,3,1,2,7,4]=>[4,7,2,1,3,5,8,6]=>[4,2,3,7,8,5,1,6]=>[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]
[4,5,1,2,7,6,3,8]=>[8,3,6,7,2,1,5,4]=>[3,2,8,6,1,5,7,4]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[4,5,1,2,6,8,7,3]=>[3,7,8,6,2,1,5,4]=>[3,2,7,6,5,1,4,8]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]
[3,5,6,1,8,4,7,2]=>[2,7,4,8,1,6,5,3]=>[7,6,2,8,1,4,3,5]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[3,5,7,1,2,8,6,4]=>[4,6,8,2,1,7,5,3]=>[8,4,2,6,5,1,3,7]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[3,6,2,7,5,1,4,8]=>[8,4,1,5,7,2,6,3]=>[8,4,5,1,2,7,6,3]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[4,2,6,1,7,3,5,8]=>[8,5,3,7,1,6,2,4]=>[1,5,3,8,2,7,6,4]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[4,6,3,1,2,7,5,8]=>[8,5,7,2,1,3,6,4]=>[5,2,3,8,7,1,6,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]
[4,5,3,1,7,6,2,8]=>[8,2,6,7,1,3,5,4]=>[8,2,6,7,1,3,5,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[3,5,2,7,8,1,6,4]=>[4,6,1,8,7,2,5,3]=>[8,4,6,5,1,7,2,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[3,1,4,7,5,6,2,8]=>[8,2,6,5,7,4,1,3]=>[2,8,6,1,5,4,7,3]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[3,4,6,5,8,7,1,2]=>[2,1,7,8,5,6,4,3]=>[7,5,2,4,1,3,8,6]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[3,1,4,5,8,6,7,2]=>[2,7,6,8,5,4,1,3]=>[2,7,6,5,1,4,3,8]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[3,4,6,8,5,2,7,1]=>[1,7,2,5,8,6,4,3]=>[7,5,4,1,2,8,3,6]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[3,5,6,2,8,4,7,1]=>[1,7,4,8,2,6,5,3]=>[7,6,4,8,1,5,2,3]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[4,2,5,6,1,8,7,3]=>[3,7,8,1,6,5,2,4]=>[3,7,6,5,8,1,2,4]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[4,5,3,1,6,8,7,2]=>[2,7,8,6,1,3,5,4]=>[7,2,6,8,5,1,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]
[1,2,7,5,3,8,6,4]=>[4,6,8,3,5,7,2,1]=>[4,3,2,6,8,1,5,7]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[6,4,1,7,5,2,3,8]=>[8,3,2,5,7,1,4,6]=>[3,5,8,2,4,7,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[3,1,2,6,8,5,4,7]=>[7,4,5,8,6,2,1,3]=>[7,8,4,2,1,5,6,3]=>[[[[.,[.,.]],.],.],[[.,[.,.]],.]]
[1,3,7,2,4,8,6,5]=>[5,6,8,4,2,7,3,1]=>[5,4,2,8,6,1,3,7]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[3,4,7,5,1,8,6,2]=>[2,6,8,1,5,7,4,3]=>[6,5,2,4,8,1,3,7]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[2,7,4,1,5,8,6,3]=>[3,6,8,5,1,4,7,2]=>[6,3,5,8,4,1,2,7]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]
[2,3,7,1,5,8,6,4]=>[4,6,8,5,1,7,3,2]=>[6,4,3,8,5,1,2,7]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[2,1,6,8,3,4,7,5]=>[5,7,4,3,8,6,1,2]=>[5,7,4,1,6,3,2,8]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[2,6,8,3,1,5,7,4]=>[4,7,5,1,3,8,6,2]=>[7,4,1,5,8,3,2,6]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[2,8,6,4,1,5,7,3]=>[3,7,5,1,4,6,8,2]=>[7,3,5,6,8,4,1,2]=>[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]
[3,6,4,8,5,1,7,2]=>[2,7,1,5,8,4,6,3]=>[7,2,5,1,4,8,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[6,3,7,4,5,1,8,2]=>[2,8,1,5,4,7,3,6]=>[2,8,1,5,4,7,3,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,6,3,7,5,8,1,4]=>[4,1,8,5,7,3,6,2]=>[8,4,5,1,3,2,7,6]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[5,2,1,7,8,3,4,6]=>[6,4,3,8,7,1,2,5]=>[1,6,8,4,3,7,5,2]=>[.,[[[[.,[.,.]],.],[[.,.],.]],.]]
[4,7,2,3,6,8,1,5]=>[5,1,8,6,3,2,7,4]=>[5,1,8,6,3,2,7,4]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[5,2,7,3,6,8,1,4]=>[4,1,8,6,3,7,2,5]=>[4,8,1,6,3,2,7,5]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[5,7,4,6,2,8,1,3]=>[3,1,8,2,6,4,7,5]=>[3,1,8,2,6,4,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,7,3,4,6,1,8,2]=>[2,8,1,6,4,3,7,5]=>[2,1,8,6,4,7,3,5]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[5,3,8,4,6,1,7,2]=>[2,7,1,6,4,8,3,5]=>[2,7,1,6,4,8,3,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,2,8,3,6,7,1,5]=>[5,1,7,6,3,8,2,4]=>[5,7,1,6,3,2,8,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[8,4,1,3,6,2,5,7]=>[7,5,2,6,3,1,4,8]=>[2,5,7,6,3,8,4,1]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],.]
[4,8,3,1,7,2,5,6]=>[6,5,2,7,1,3,8,4]=>[6,2,7,8,3,5,4,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[5,2,8,4,7,1,6,3]=>[3,6,1,7,4,8,2,5]=>[3,6,1,4,2,7,5,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[5,8,4,7,3,1,6,2]=>[2,6,1,3,7,4,8,5]=>[2,1,6,3,7,8,4,5]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[4,6,8,3,1,7,5,2]=>[2,5,7,1,3,8,6,4]=>[7,2,1,5,6,3,4,8]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[6,3,8,2,7,1,5,4]=>[4,5,1,7,2,8,3,6]=>[4,5,1,7,2,8,3,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[6,3,1,8,2,4,7,5]=>[5,7,4,2,8,1,3,6]=>[5,7,8,2,4,3,1,6]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[5,3,8,1,2,6,4,7]=>[7,4,6,2,1,8,3,5]=>[4,7,2,8,6,3,5,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[5,7,4,1,6,2,3,8]=>[8,3,2,6,1,4,7,5]=>[3,2,6,8,4,7,5,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[8,5,4,1,2,6,3,7]=>[7,3,6,2,1,4,5,8]=>[3,4,7,8,6,2,5,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[1,6,2,8,5,3,7,4]=>[4,7,3,5,8,2,6,1]=>[4,3,7,2,5,8,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[6,8,5,3,1,7,4,2]=>[2,4,7,1,3,5,8,6]=>[2,1,4,7,8,3,5,6]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[8,4,5,1,2,6,3,7]=>[7,3,6,2,1,5,4,8]=>[3,7,2,8,6,1,5,4]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[5,6,3,7,1,2,4,8]=>[8,4,2,1,7,3,6,5]=>[4,2,3,1,8,7,6,5]=>[[[.,.],[.,.]],[[[[.,.],.],.],.]]
[1,6,3,7,2,8,4,5]=>[5,4,8,2,7,3,6,1]=>[5,2,4,3,8,1,7,6]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[6,3,2,7,8,5,1,4]=>[4,1,5,8,7,2,3,6]=>[1,4,8,5,2,3,7,6]=>[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]
[4,5,7,8,3,1,6,2]=>[2,6,1,3,8,7,5,4]=>[8,6,2,1,5,7,3,4]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[3,8,2,4,6,7,1,5]=>[5,1,7,6,4,2,8,3]=>[5,1,7,6,4,2,8,3]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[3,5,6,8,2,7,1,4]=>[4,1,7,2,8,6,5,3]=>[7,6,4,1,5,2,8,3]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[2,4,5,6,8,1,7,3]=>[3,7,1,8,6,5,4,2]=>[7,6,5,3,1,4,2,8]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[4,8,3,5,6,1,7,2]=>[2,7,1,6,5,3,8,4]=>[2,1,7,6,5,8,3,4]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[5,6,2,3,7,8,1,4]=>[4,1,8,7,3,2,6,5]=>[4,1,8,7,3,2,6,5]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[5,8,7,3,4,1,2,6]=>[6,2,1,4,3,7,8,5]=>[2,1,6,7,4,8,5,3]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]
[6,8,7,3,4,1,2,5]=>[5,2,1,4,3,7,8,6]=>[2,1,5,7,4,8,6,3]=>[[.,.],[[[.,[.,.]],[[.,.],.]],.]]
[6,8,4,7,2,5,3,1]=>[1,3,5,2,7,4,8,6]=>[3,1,5,2,7,4,6,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,3,4,6,5,1,2,7]=>[7,2,1,5,6,4,3,8]=>[2,7,5,1,6,8,4,3]=>[[.,[[.,.],.]],[[[.,[.,.]],.],.]]
[3,4,8,7,6,1,2,5]=>[5,2,1,6,7,8,4,3]=>[5,2,1,6,7,8,4,3]=>[[[.,.],.],[[[.,[.,[.,.]]],.],.]]
[4,5,8,7,6,1,2,3]=>[3,2,1,6,7,8,5,4]=>[3,2,1,6,7,8,5,4]=>[[[.,.],.],[[[.,[.,[.,.]]],.],.]]
[3,5,8,2,7,6,4,1]=>[1,4,6,7,2,8,5,3]=>[6,4,1,5,2,3,7,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[3,5,8,1,7,6,4,2]=>[2,4,6,7,1,8,5,3]=>[6,2,1,4,3,5,7,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[2,4,8,7,1,6,3,5]=>[5,3,6,1,7,8,4,2]=>[5,3,1,6,7,4,8,2]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]
[2,8,4,7,1,5,3,6]=>[6,3,5,1,7,4,8,2]=>[6,3,5,1,7,4,8,2]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[1,4,8,7,2,6,3,5]=>[5,3,6,2,7,8,4,1]=>[5,3,2,6,7,4,8,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[1,5,8,7,2,6,3,4]=>[4,3,6,2,7,8,5,1]=>[4,3,2,6,7,5,8,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[1,5,8,2,7,6,4,3]=>[3,4,6,7,2,8,5,1]=>[3,2,1,6,4,5,7,8]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,4,2,8,7,6,5,3]=>[3,5,6,7,8,2,4,1]=>[3,2,5,1,4,6,7,8]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[1,3,8,2,7,6,4,5]=>[5,4,6,7,2,8,3,1]=>[5,4,2,6,3,7,8,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[8,1,3,2,6,5,4,7]=>[7,4,5,6,2,3,1,8]=>[4,7,5,6,2,3,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[8,2,3,1,6,5,4,7]=>[7,4,5,6,1,3,2,8]=>[4,7,5,6,1,3,8,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[2,8,3,1,7,5,4,6]=>[6,4,5,7,1,3,8,2]=>[6,4,5,7,1,3,8,2]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[2,3,8,1,7,6,4,5]=>[5,4,6,7,1,8,3,2]=>[5,4,1,6,3,7,8,2]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]
[4,2,1,8,7,6,5,3]=>[3,5,6,7,8,1,2,4]=>[3,5,6,1,2,4,7,8]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[5,3,8,1,7,6,4,2]=>[2,4,6,7,1,8,3,5]=>[2,4,1,6,3,5,7,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[5,3,8,2,7,6,4,1]=>[1,4,6,7,2,8,3,5]=>[4,6,1,7,2,3,5,8]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[6,8,2,7,1,5,3,4]=>[4,3,5,1,7,2,8,6]=>[4,1,5,3,7,6,8,2]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]
[8,5,6,1,2,4,3,7]=>[7,3,4,2,1,6,5,8]=>[3,4,2,7,6,5,8,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[5,1,8,3,7,6,4,2]=>[2,4,6,7,3,8,1,5]=>[4,6,2,3,1,5,7,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[5,1,8,7,2,6,3,4]=>[4,3,6,2,7,8,1,5]=>[4,6,3,5,7,2,8,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[4,1,8,7,2,6,3,5]=>[5,3,6,2,7,8,1,4]=>[5,6,3,4,7,2,8,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[4,8,1,7,2,5,3,6]=>[6,3,5,2,7,1,8,4]=>[3,2,6,5,7,4,8,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[8,4,1,6,2,5,3,7]=>[7,3,5,2,6,1,4,8]=>[3,5,7,2,6,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,3,1,2,6,5,4,7]=>[7,4,5,6,2,1,3,8]=>[4,5,7,6,2,3,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[3,1,2,8,7,6,5,4]=>[4,5,6,7,8,2,1,3]=>[4,5,2,1,3,6,7,8]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[4,1,3,8,7,6,5,2]=>[2,5,6,7,8,3,1,4]=>[5,6,2,1,3,4,7,8]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[3,1,4,8,7,6,5,2]=>[2,5,6,7,8,4,1,3]=>[2,5,4,1,3,6,7,8]=>[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]
[8,2,1,3,6,5,4,7]=>[7,4,5,6,3,1,2,8]=>[4,5,7,6,1,3,8,2]=>[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]
[1,2,8,3,7,6,4,5]=>[5,4,6,7,3,8,2,1]=>[5,4,3,6,2,7,8,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[1,4,3,6,8,2,5,7]=>[7,5,2,8,6,3,4,1]=>[7,2,5,3,1,8,6,4]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[3,5,1,8,2,4,7,6]=>[6,7,4,2,8,1,5,3]=>[6,4,7,2,5,3,1,8]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[1,4,5,2,8,3,7,6]=>[6,7,3,8,2,5,4,1]=>[6,3,2,7,1,5,4,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[1,4,2,6,5,8,3,7]=>[7,3,8,5,6,2,4,1]=>[7,3,8,2,5,1,6,4]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[1,5,4,2,6,8,3,7]=>[7,3,8,6,2,4,5,1]=>[7,3,4,8,2,1,6,5]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]
[1,6,4,2,5,8,3,7]=>[7,3,8,5,2,4,6,1]=>[7,3,5,8,2,1,6,4]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]
[1,5,2,6,4,8,3,7]=>[7,3,8,4,6,2,5,1]=>[7,3,8,2,4,1,6,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[1,2,6,5,4,8,3,7]=>[7,3,8,4,5,6,2,1]=>[7,3,2,4,5,1,8,6]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[1,4,7,5,2,8,3,6]=>[6,3,8,2,5,7,4,1]=>[6,3,2,5,8,1,7,4]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[7,1,3,5,2,8,4,6]=>[6,4,8,2,5,3,1,7]=>[4,6,5,2,8,1,7,3]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]
[7,2,5,1,8,3,4,6]=>[6,4,3,8,1,5,2,7]=>[4,6,5,8,1,7,3,2]=>[[.,[[.,.],[.,.]]],[[[.,.],.],.]]
[1,4,5,2,8,7,3,6]=>[6,3,7,8,2,5,4,1]=>[6,3,2,7,1,5,8,4]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]
[1,6,4,2,8,3,7,5]=>[5,7,3,8,2,4,6,1]=>[5,3,7,8,2,4,1,6]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]
[1,4,2,8,3,7,6,5]=>[5,6,7,3,8,2,4,1]=>[5,3,6,2,4,1,7,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[1,2,5,3,8,7,6,4]=>[4,6,7,8,3,5,2,1]=>[4,3,2,6,1,5,7,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[1,2,8,6,5,3,7,4]=>[4,7,3,5,6,8,2,1]=>[4,3,2,5,7,8,1,6]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[1,5,2,8,6,3,7,4]=>[4,7,3,6,8,2,5,1]=>[4,3,7,2,6,8,1,5]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[1,6,4,2,8,7,3,5]=>[5,3,7,8,2,4,6,1]=>[5,3,7,8,2,4,6,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[6,2,1,8,7,3,4,5]=>[5,4,3,7,8,1,2,6]=>[5,7,8,1,4,6,3,2]=>[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]
[7,6,2,1,8,3,4,5]=>[5,4,3,8,1,2,6,7]=>[1,5,6,8,4,7,3,2]=>[.,[[[[.,[.,[.,.]]],[.,.]],.],.]]
[7,3,1,6,2,8,4,5]=>[5,4,8,2,6,1,3,7]=>[5,6,8,4,7,2,3,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[1,7,6,4,2,8,3,5]=>[5,3,8,2,4,6,7,1]=>[5,3,4,6,8,2,7,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[1,7,5,2,6,3,8,4]=>[4,8,3,6,2,5,7,1]=>[4,3,6,8,2,7,1,5]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]
[1,2,7,6,5,3,8,4]=>[4,8,3,5,6,7,2,1]=>[4,3,2,5,6,8,1,7]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[1,2,6,5,3,8,7,4]=>[4,7,8,3,5,6,2,1]=>[4,3,2,7,8,1,5,6]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[1,5,2,6,3,8,7,4]=>[4,7,8,3,6,2,5,1]=>[4,3,7,2,6,1,5,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[1,5,2,7,6,3,8,4]=>[4,8,3,6,7,2,5,1]=>[4,3,8,2,6,7,1,5]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[4,1,2,8,6,3,7,5]=>[5,7,3,6,8,2,1,4]=>[5,7,3,2,6,8,1,4]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]
[1,8,7,3,2,4,6,5]=>[5,6,4,2,3,7,8,1]=>[5,4,6,7,8,2,1,3]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]
[1,7,4,2,8,3,6,5]=>[5,6,3,8,2,4,7,1]=>[5,3,6,8,2,4,1,7]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]
[8,1,5,4,2,7,3,6]=>[6,3,7,2,4,5,1,8]=>[3,6,4,7,8,2,5,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[1,4,8,5,2,7,3,6]=>[6,3,7,2,5,8,4,1]=>[6,3,2,7,8,1,5,4]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[8,6,2,1,7,3,4,5]=>[5,4,3,7,1,2,6,8]=>[1,5,7,8,4,6,3,2]=>[.,[[[[.,[.,[.,.]]],[.,.]],.],.]]
[1,8,5,2,6,3,7,4]=>[4,7,3,6,2,5,8,1]=>[4,3,7,8,2,6,1,5]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]
[1,5,2,7,3,8,6,4]=>[4,6,8,3,7,2,5,1]=>[4,3,8,2,6,1,5,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[1,2,8,5,3,7,6,4]=>[4,6,7,3,5,8,2,1]=>[4,3,2,6,7,1,5,8]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[1,2,6,3,8,7,5,4]=>[4,5,7,8,3,6,2,1]=>[4,3,2,7,1,5,6,8]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[1,6,2,7,3,8,5,4]=>[4,5,8,3,7,2,6,1]=>[4,3,8,2,7,1,5,6]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[1,7,2,8,5,3,6,4]=>[4,6,3,5,8,2,7,1]=>[4,3,6,2,5,8,1,7]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[1,7,4,2,8,6,3,5]=>[5,3,6,8,2,4,7,1]=>[5,3,6,8,2,4,7,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[7,1,8,3,2,6,4,5]=>[5,4,6,2,3,8,1,7]=>[5,6,2,4,8,3,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[1,4,2,8,7,6,3,5]=>[5,3,6,7,8,2,4,1]=>[5,3,6,2,4,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[1,2,8,7,5,3,6,4]=>[4,6,3,5,7,8,2,1]=>[4,3,2,6,7,8,1,5]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[1,2,7,3,8,6,5,4]=>[4,5,6,8,3,7,2,1]=>[4,3,2,8,1,5,6,7]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[4,1,7,3,6,5,8,2]=>[2,8,5,6,3,7,1,4]=>[5,8,2,6,3,4,1,7]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[8,1,7,6,3,4,5,2]=>[2,5,4,3,6,7,1,8]=>[2,5,4,6,7,3,1,8]=>[[.,[[[.,.],[.,[.,.]]],.]],[.,.]]
[5,7,1,6,2,4,3,8]=>[8,3,4,2,6,1,7,5]=>[3,2,8,4,6,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[6,4,1,5,2,7,3,8]=>[8,3,7,2,5,1,4,6]=>[3,5,8,2,7,1,6,4]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[6,1,4,5,3,8,7,2]=>[2,7,8,3,5,4,1,6]=>[2,7,5,3,8,1,4,6]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[6,1,4,5,3,7,8,2]=>[2,8,7,3,5,4,1,6]=>[2,8,7,3,5,4,1,6]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]
[5,1,7,8,6,2,4,3]=>[3,4,2,6,8,7,1,5]=>[3,8,2,1,4,6,5,7]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]
[6,1,4,8,3,5,7,2]=>[2,7,5,3,8,4,1,6]=>[2,7,5,3,8,4,1,6]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]
[7,1,8,6,3,4,5,2]=>[2,5,4,3,6,8,1,7]=>[5,8,2,4,6,3,1,7]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]
[7,1,4,5,3,8,6,2]=>[2,6,8,3,5,4,1,7]=>[2,6,5,3,8,1,4,7]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[7,1,4,5,3,6,8,2]=>[2,8,6,3,5,4,1,7]=>[2,8,6,3,5,4,1,7]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]
[8,1,4,5,3,6,7,2]=>[2,7,6,3,5,4,1,8]=>[2,7,6,3,5,4,1,8]=>[[.,[[[.,.],.],[[.,.],.]]],[.,.]]
[7,4,1,5,2,6,3,8]=>[8,3,6,2,5,1,4,7]=>[3,6,8,2,7,1,5,4]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[6,3,5,7,2,1,4,8]=>[8,4,1,2,7,5,3,6]=>[1,8,4,2,5,7,6,3]=>[.,[[[.,.],.],[[.,[[.,.],.]],.]]]
[6,3,5,8,2,1,7,4]=>[4,7,1,2,8,5,3,6]=>[1,7,4,2,5,8,3,6]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[6,3,5,7,2,1,8,4]=>[4,8,1,2,7,5,3,6]=>[1,8,7,4,5,6,2,3]=>[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]
[6,4,5,8,3,7,2,1]=>[1,2,7,3,8,5,4,6]=>[1,7,5,2,8,3,4,6]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,8,7,6,2,4,1,3]=>[3,1,4,2,6,7,8,5]=>[3,1,4,6,7,2,8,5]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,4,8,6,3,1,7,2]=>[2,7,1,3,6,8,4,5]=>[2,7,1,3,6,8,4,5]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[5,4,1,8,2,3,7,6]=>[6,7,3,2,8,1,4,5]=>[6,7,8,3,4,2,1,5]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]
[5,8,1,6,2,4,3,7]=>[7,3,4,2,6,1,8,5]=>[3,2,7,4,6,5,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[6,3,5,8,2,1,4,7]=>[7,4,1,2,8,5,3,6]=>[1,7,4,2,5,8,6,3]=>[.,[[[.,.],.],[[.,[[.,.],.]],.]]]
[8,3,5,6,2,1,4,7]=>[7,4,1,2,6,5,3,8]=>[1,7,4,2,6,8,5,3]=>[.,[[[.,.],.],[[[.,[.,.]],.],.]]]
[8,4,5,6,3,1,7,2]=>[2,7,1,3,6,5,4,8]=>[2,7,6,3,5,8,1,4]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]
[7,3,5,6,2,8,1,4]=>[4,1,8,2,6,5,3,7]=>[1,8,6,4,5,2,7,3]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[7,3,5,8,2,1,6,4]=>[4,6,1,2,8,5,3,7]=>[1,6,4,2,5,8,3,7]=>[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]
[7,3,5,6,2,1,4,8]=>[8,4,1,2,6,5,3,7]=>[1,8,4,2,6,7,5,3]=>[.,[[[.,.],.],[[[.,[.,.]],.],.]]]
[2,7,6,5,1,3,4,8]=>[8,4,3,1,5,6,7,2]=>[4,1,5,6,8,7,3,2]=>[[.,.],[[[.,[.,[[.,.],.]]],.],.]]
[2,6,4,1,8,5,7,3]=>[3,7,5,8,1,4,6,2]=>[7,3,5,8,1,4,2,6]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[2,7,1,3,6,5,8,4]=>[4,8,5,6,3,1,7,2]=>[4,1,8,5,3,6,2,7]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[2,7,6,8,4,3,1,5]=>[5,1,3,4,8,6,7,2]=>[5,1,3,2,4,6,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[2,7,6,1,4,3,5,8]=>[8,5,3,4,1,6,7,2]=>[3,1,5,8,6,7,4,2]=>[[.,.],[[[.,[[.,.],[.,.]]],.],.]]
[8,4,1,5,2,3,7,6]=>[6,7,3,2,5,1,4,8]=>[6,7,8,3,5,2,1,4]=>[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]
[7,8,1,6,3,4,2,5]=>[5,2,4,3,6,1,8,7]=>[5,2,8,4,6,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[6,4,1,8,3,2,7,5]=>[5,7,2,3,8,1,4,6]=>[2,5,7,3,4,8,1,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]
[2,3,8,6,4,1,7,5]=>[5,7,1,4,6,8,3,2]=>[5,4,1,3,7,8,2,6]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[2,8,6,7,4,3,1,5]=>[5,1,3,4,7,6,8,2]=>[5,1,3,2,4,7,8,6]=>[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]
[8,3,5,7,2,4,1,6]=>[6,1,4,2,7,5,3,8]=>[1,6,4,2,7,5,8,3]=>[.,[[[.,.],.],[[[.,.],[.,.]],.]]]
[2,3,4,1,8,7,5,6]=>[6,5,7,8,1,4,3,2]=>[6,5,4,7,1,3,8,2]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]
[2,8,6,1,7,3,4,5]=>[5,4,3,7,1,6,8,2]=>[5,4,7,8,1,6,3,2]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[2,3,8,1,6,4,7,5]=>[5,7,4,6,1,8,3,2]=>[5,4,3,7,6,8,1,2]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[2,3,8,1,4,5,7,6]=>[6,7,5,4,1,8,3,2]=>[6,5,1,7,4,3,2,8]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[2,8,6,1,4,3,5,7]=>[7,5,3,4,1,6,8,2]=>[3,1,5,7,6,8,4,2]=>[[.,.],[[[.,[[.,.],[.,.]]],.],.]]
[1,2,3,4,5,6,7,9,8]=>[8,9,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1,9]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]
[2,1,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,1,2]=>[1,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]
[1,2,3,4,5,6,7,8,10,9]=>[9,10,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1,10]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]
[2,1,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,1,2]=>[1,10,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]
[1,2,3,4,5,6,7,8,9,11,10]=>[10,11,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1,11]=>[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]]
[9,1,2,3,4,5,6,7,10,8]=>[8,10,7,6,5,4,3,2,1,9]=>[8,10,7,6,5,4,3,2,1,9]=>[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]]
[7,1,2,3,4,5,6,9,8]=>[8,9,6,5,4,3,2,1,7]=>[8,9,6,5,4,3,2,1,7]=>[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]]
[2,1,9,3,4,5,6,7,8]=>[8,7,6,5,4,3,9,1,2]=>[8,9,1,7,6,5,4,3,2]=>[[.,[.,.]],[[[[[[.,.],.],.],.],.],.]]
[2,10,1,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,1,10,2]=>[9,1,10,8,7,6,5,4,3,2]=>[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]]
[2,1,3,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,3,1,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]]
[8,6,5,4,3,1,7,2]=>[2,7,1,3,4,5,6,8]=>[2,3,4,5,7,8,1,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[1,7,6,5,4,2,3,8]=>[8,3,2,4,5,6,7,1]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,8,6,5,2,7,3,4]=>[4,3,7,2,5,6,8,1]=>[4,3,5,7,8,2,6,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[8,7,5,4,1,6,3,2]=>[2,3,6,1,4,5,7,8]=>[2,3,4,6,7,1,5,8]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[7,8,5,4,1,3,6,2]=>[2,6,3,1,4,5,8,7]=>[6,2,3,4,8,5,1,7]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[6,8,5,4,2,1,7,3]=>[3,7,1,2,4,5,8,6]=>[3,1,2,4,7,8,5,6]=>[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]
[5,8,6,2,4,1,7,3]=>[3,7,1,4,2,6,8,5]=>[3,1,4,7,6,8,2,5]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[3,2,8,6,5,1,7,4]=>[4,7,1,5,6,8,2,3]=>[4,7,1,5,6,8,2,3]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,2,1,7,6,4,5,8]=>[8,5,4,6,7,1,2,3]=>[5,6,8,1,2,7,4,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]
[4,1,3,7,6,2,5,8]=>[8,5,2,6,7,3,1,4]=>[5,8,6,2,3,7,4,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[5,1,7,3,6,2,4,8]=>[8,4,2,6,3,7,1,5]=>[4,8,2,6,3,7,5,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[6,1,7,5,3,2,4,8]=>[8,4,2,3,5,7,1,6]=>[4,8,2,3,5,7,6,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[1,2,8,3,7,4,5,6]=>[6,5,4,7,3,8,2,1]=>[6,5,4,7,3,8,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]
[8,1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1,8]=>[4,5,3,6,2,7,1,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[7,1,8,2,6,4,3,5]=>[5,3,4,6,2,8,1,7]=>[5,8,3,4,2,6,7,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[3,2,1,8,4,7,5,6]=>[6,5,7,4,8,1,2,3]=>[6,7,8,1,5,2,4,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[7,8,6,1,5,3,4,2]=>[2,4,3,5,1,6,8,7]=>[4,2,3,8,5,6,1,7]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]
[8,7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7,8]=>[2,3,4,5,1,6,7,8]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[1,8,7,2,6,5,3,4]=>[4,3,5,6,2,7,8,1]=>[4,3,5,6,2,7,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[1,7,8,2,5,6,3,4]=>[4,3,6,5,2,8,7,1]=>[4,3,2,6,5,1,8,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[6,5,8,3,2,1,7,4]=>[4,7,1,2,3,8,5,6]=>[1,4,2,3,7,8,5,6]=>[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]
[7,5,8,3,1,4,6,2]=>[2,6,4,1,3,8,5,7]=>[2,4,1,6,8,5,3,7]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[1,5,4,8,2,7,3,6]=>[6,3,7,2,8,4,5,1]=>[6,3,7,2,8,4,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[7,4,3,8,1,5,6,2]=>[2,6,5,1,8,3,4,7]=>[2,3,6,1,8,5,4,7]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[7,4,3,1,2,6,5,8]=>[8,5,6,2,1,3,4,7]=>[2,5,6,8,7,3,4,1]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]
[8,4,3,1,2,5,7,6]=>[6,7,5,2,1,3,4,8]=>[2,6,7,8,5,3,1,4]=>[[.,[[[.,[.,[.,.]]],.],.]],[.,.]]
[1,5,4,2,3,6,7,8]=>[8,7,6,3,2,4,5,1]=>[8,3,4,7,6,5,2,1]=>[[[[.,.],[.,[[[.,.],.],.]]],.],.]
[5,6,1,3,4,2,7,8]=>[8,7,2,4,3,1,6,5]=>[4,2,8,7,3,6,5,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[3,2,6,1,5,4,7,8]=>[8,7,4,5,1,6,2,3]=>[4,5,1,8,2,7,6,3]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[3,2,7,1,4,6,5,8]=>[8,5,6,4,1,7,2,3]=>[5,6,1,8,7,2,4,3]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[4,7,2,1,3,6,5,8]=>[8,5,6,3,1,2,7,4]=>[5,1,6,8,7,3,4,2]=>[[.,.],[[[.,[[.,.],.]],[.,.]],.]]
[5,7,1,3,2,6,4,8]=>[8,4,6,2,3,1,7,5]=>[4,2,8,6,7,3,5,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[6,7,1,2,4,5,3,8]=>[8,3,5,4,2,1,7,6]=>[5,3,8,7,4,2,6,1]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]
[7,6,1,2,5,4,3,8]=>[8,3,4,5,2,1,6,7]=>[3,4,8,5,2,6,7,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[8,6,1,2,5,3,7,4]=>[4,7,3,5,2,1,6,8]=>[4,5,7,3,2,8,1,6]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]
[8,7,1,2,3,6,5,4]=>[4,5,6,3,2,1,7,8]=>[4,5,6,3,2,1,7,8]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]
[7,8,1,2,3,5,6,4]=>[4,6,5,3,2,1,8,7]=>[6,4,8,5,3,2,1,7]=>[[[[[.,.],[[.,.],.]],.],.],[.,.]]
[5,8,1,3,2,4,7,6]=>[6,7,4,2,3,1,8,5]=>[6,2,7,4,8,3,1,5]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]
[4,8,2,1,3,5,7,6]=>[6,7,5,3,1,2,8,4]=>[6,1,7,8,5,3,2,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[3,2,8,1,4,5,7,6]=>[6,7,5,4,1,8,2,3]=>[6,7,1,8,5,4,2,3]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[4,1,3,2,5,6,7,8]=>[8,7,6,5,2,3,1,4]=>[2,8,3,7,6,5,4,1]=>[[.,[[.,.],[[[[.,.],.],.],.]]],.]
[8,1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1,8]=>[6,7,5,4,3,2,1,8]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]
[6,7,3,8,5,1,2,4]=>[4,2,1,5,8,3,7,6]=>[4,2,5,1,3,8,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[6,7,4,5,1,8,3,2]=>[2,3,8,1,5,4,7,6]=>[2,1,8,5,7,3,4,6]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[5,3,7,8,6,1,2,4]=>[4,2,1,6,8,7,3,5]=>[4,6,2,1,3,8,7,5]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[3,8,4,5,7,1,2,6]=>[6,2,1,7,5,4,8,3]=>[6,5,7,2,1,8,4,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[3,4,8,6,7,1,2,5]=>[5,2,1,7,6,8,4,3]=>[7,5,2,6,1,8,4,3]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[4,5,6,7,1,8,3,2]=>[2,3,8,1,7,6,5,4]=>[8,7,6,2,5,1,3,4]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[3,5,6,1,7,8,4,2]=>[2,4,8,7,1,6,5,3]=>[8,7,2,6,4,1,3,5]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[2,5,6,8,1,7,3,4]=>[4,3,7,1,8,6,5,2]=>[7,4,3,1,6,5,8,2]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]
[1,5,6,8,2,3,7,4]=>[4,7,3,2,8,6,5,1]=>[4,3,2,1,7,6,5,8]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[1,5,6,2,8,4,7,3]=>[3,7,4,8,2,6,5,1]=>[7,3,2,8,1,6,4,5]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[2,5,6,3,4,7,8,1]=>[1,8,7,4,3,6,5,2]=>[8,4,1,7,6,3,2,5]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[8,1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1,8]=>[4,7,6,8,2,5,3,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[8,2,3,1,5,6,4,7]=>[7,4,6,5,1,3,2,8]=>[4,7,6,8,5,1,3,2]=>[[.,[[[.,.],[.,.]],.]],[[.,.],.]]
[2,8,3,1,5,7,4,6]=>[6,4,7,5,1,3,8,2]=>[6,4,7,8,3,1,5,2]=>[[[[.,.],[.,[.,.]]],.],[[.,.],.]]
[2,4,1,6,8,7,5,3]=>[3,5,7,8,6,1,4,2]=>[7,3,5,4,1,2,6,8]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[3,4,1,6,7,8,5,2]=>[2,5,8,7,6,1,4,3]=>[8,2,7,5,4,1,3,6]=>[[[.,.],[[[.,.],.],.]],[.,[.,.]]]
[5,2,7,8,1,6,3,4]=>[4,3,6,1,8,7,2,5]=>[4,6,3,1,8,2,7,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[6,7,2,8,1,5,3,4]=>[4,3,5,1,8,2,7,6]=>[4,3,5,1,8,2,7,6]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[6,7,1,2,8,4,5,3]=>[3,5,4,8,2,1,7,6]=>[5,3,8,7,2,4,1,6]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[6,7,1,3,4,8,5,2]=>[2,5,8,4,3,1,7,6]=>[5,4,8,7,2,1,3,6]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]
[5,2,7,3,4,6,8,1]=>[1,8,6,4,3,7,2,5]=>[6,8,1,7,4,3,2,5]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[5,1,7,3,4,8,6,2]=>[2,6,8,4,3,7,1,5]=>[6,8,4,7,2,1,3,5]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]
[3,8,1,2,7,4,5,6]=>[6,5,4,7,2,1,8,3]=>[6,2,7,5,4,8,3,1]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]
[4,1,3,7,5,8,6,2]=>[2,6,8,5,7,3,1,4]=>[6,8,5,2,7,1,3,4]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]
[2,1,8,3,4,7,6,5]=>[5,6,7,4,3,8,1,2]=>[5,6,1,4,3,2,7,8]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[1,8,2,3,4,5,7,6]=>[6,7,5,4,3,2,8,1]=>[6,5,7,4,3,2,1,8]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]
[1,2,8,3,4,6,7,5]=>[5,7,6,4,3,8,2,1]=>[7,5,4,6,3,2,1,8]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]
[5,2,6,4,1,8,7,3]=>[3,7,8,1,4,6,2,5]=>[7,8,3,4,6,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[5,2,7,4,8,6,1,3]=>[3,1,6,8,4,7,2,5]=>[6,8,3,4,1,2,7,5]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[5,6,2,3,1,8,7,4]=>[4,7,8,1,3,2,6,5]=>[4,3,7,6,8,1,2,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[5,6,2,1,3,8,7,4]=>[4,7,8,3,1,2,6,5]=>[4,3,7,8,6,1,2,5]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]
[5,6,1,3,2,8,7,4]=>[4,7,8,2,3,1,6,5]=>[4,2,7,6,8,1,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[5,6,3,1,2,8,7,4]=>[4,7,8,2,1,3,6,5]=>[4,2,7,8,6,1,3,5]=>[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]
[5,6,3,2,1,8,7,4]=>[4,7,8,1,2,3,6,5]=>[7,1,4,6,8,2,3,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[5,7,3,2,8,1,6,4]=>[4,6,1,8,2,3,7,5]=>[8,1,4,6,2,7,3,5]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[6,7,3,8,1,2,5,4]=>[4,5,2,1,8,3,7,6]=>[4,2,5,1,8,7,3,6]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[5,7,3,1,8,2,6,4]=>[4,6,2,8,1,3,7,5]=>[4,2,6,8,1,7,3,5]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[5,7,1,3,8,2,6,4]=>[4,6,2,8,3,1,7,5]=>[4,2,8,6,1,7,3,5]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[1,5,7,4,8,3,6,2]=>[2,6,3,8,4,7,5,1]=>[8,6,2,3,1,7,4,5]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[5,7,1,3,8,6,2,4]=>[4,2,6,8,3,1,7,5]=>[4,2,8,6,1,3,7,5]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[5,7,3,1,8,6,2,4]=>[4,2,6,8,1,3,7,5]=>[4,2,6,8,1,3,7,5]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[6,1,7,8,4,5,2,3]=>[3,2,5,4,8,7,1,6]=>[3,8,2,1,5,4,7,6]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[1,6,7,8,4,5,3,2]=>[2,3,5,4,8,7,6,1]=>[8,5,2,1,7,3,4,6]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[6,1,7,8,4,2,5,3]=>[3,5,2,4,8,7,1,6]=>[3,8,2,1,5,7,4,6]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[6,7,1,8,3,2,5,4]=>[4,5,2,3,8,1,7,6]=>[4,2,8,1,5,7,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[5,7,2,1,8,3,6,4]=>[4,6,3,8,1,2,7,5]=>[4,3,6,8,1,7,2,5]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[6,7,2,8,1,3,5,4]=>[4,5,3,1,8,2,7,6]=>[4,3,5,1,8,7,2,6]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[6,7,2,8,3,1,5,4]=>[4,5,1,3,8,2,7,6]=>[4,3,8,1,5,7,2,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[6,7,2,8,3,5,1,4]=>[4,1,5,3,8,2,7,6]=>[4,3,8,1,5,2,7,6]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[5,2,7,1,8,4,6,3]=>[3,6,4,8,1,7,2,5]=>[3,6,4,8,1,7,2,5]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[4,1,2,7,8,6,5,3]=>[3,5,6,8,7,2,1,4]=>[3,8,5,2,1,4,6,7]=>[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]
[6,2,7,8,1,5,4,3]=>[3,4,5,1,8,7,2,6]=>[3,8,4,1,7,2,5,6]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[6,2,7,8,5,4,1,3]=>[3,1,4,5,8,7,2,6]=>[3,8,4,1,2,5,7,6]=>[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]
[6,7,2,8,5,3,1,4]=>[4,1,3,5,8,2,7,6]=>[4,3,8,1,2,5,7,6]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[5,7,2,1,8,6,3,4]=>[4,3,6,8,1,2,7,5]=>[4,3,6,8,1,2,7,5]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[1,5,7,3,8,6,4,2]=>[2,4,6,8,3,7,5,1]=>[8,4,2,6,1,3,5,7]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[1,6,7,8,3,5,4,2]=>[2,4,5,3,8,7,6,1]=>[8,4,2,1,7,3,5,6]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[6,1,7,8,2,5,4,3]=>[3,4,5,2,8,7,1,6]=>[3,8,2,1,7,4,5,6]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[6,7,1,8,2,5,3,4]=>[4,3,5,2,8,1,7,6]=>[4,3,8,2,7,5,6,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[6,7,8,2,4,1,3,5]=>[5,3,1,4,2,8,7,6]=>[5,3,1,4,2,8,7,6]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[6,7,8,2,4,3,1,5]=>[5,1,3,4,2,8,7,6]=>[5,3,1,8,2,4,7,6]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[6,1,7,8,5,2,4,3]=>[3,4,2,5,8,7,1,6]=>[3,8,2,1,4,7,5,6]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]
[1,6,7,8,5,3,4,2]=>[2,4,3,5,8,7,6,1]=>[8,4,2,1,3,7,5,6]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[6,1,7,8,5,4,2,3]=>[3,2,4,5,8,7,1,6]=>[3,8,2,1,4,5,7,6]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[6,7,1,8,5,3,2,4]=>[4,2,3,5,8,1,7,6]=>[4,2,8,1,3,5,7,6]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[6,7,8,4,1,3,2,5]=>[5,2,3,1,4,8,7,6]=>[5,2,1,3,8,4,7,6]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[6,3,8,5,2,7,4,1]=>[1,4,7,2,5,8,3,6]=>[4,7,1,5,8,2,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[6,5,2,8,4,7,3,1]=>[1,3,7,4,8,2,5,6]=>[1,7,8,3,4,2,5,6]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[6,3,4,5,8,7,2,1]=>[1,2,7,8,5,4,3,6]=>[7,8,5,4,1,2,3,6]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[5,6,1,4,8,7,3,2]=>[2,3,7,8,4,1,6,5]=>[7,2,8,6,1,3,4,5]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[3,6,4,8,5,7,1,2]=>[2,1,7,5,8,4,6,3]=>[7,2,5,1,4,3,8,6]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[5,3,7,1,6,8,2,4]=>[4,2,8,6,1,7,3,5]=>[4,6,2,8,3,1,7,5]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[4,3,8,5,6,7,2,1]=>[1,2,7,6,5,8,3,4]=>[7,8,1,6,5,2,3,4]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[3,6,4,2,8,7,5,1]=>[1,5,7,8,2,4,6,3]=>[5,4,7,8,1,2,3,6]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[6,5,2,7,4,8,1,3]=>[3,1,8,4,7,2,5,6]=>[3,4,8,1,5,2,7,6]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[5,7,1,4,8,3,2,6]=>[6,2,3,8,4,1,7,5]=>[6,2,8,3,1,4,7,5]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[7,8,3,5,1,4,6,2]=>[2,6,4,1,5,3,8,7]=>[2,1,6,4,8,5,3,7]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[6,5,8,4,3,7,2,1]=>[1,2,7,3,4,8,5,6]=>[1,7,2,3,8,4,5,6]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,7,1,6,2,4,5,3]=>[3,5,4,2,6,1,7,8]=>[3,5,6,4,7,2,1,8]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]
[5,3,8,7,4,1,2,6]=>[6,2,1,4,7,8,3,5]=>[2,6,1,4,7,8,5,3]=>[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]
[4,3,8,7,1,5,6,2]=>[2,6,5,1,7,8,3,4]=>[2,6,1,3,7,5,4,8]=>[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]
[8,3,6,1,2,5,7,4]=>[4,7,5,2,1,6,3,8]=>[4,5,2,7,6,3,1,8]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]
[5,4,2,7,3,6,8,1]=>[1,8,6,3,7,2,4,5]=>[1,6,8,3,7,4,2,5]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[7,5,3,6,4,2,8,1]=>[1,8,2,4,6,3,5,7]=>[1,4,8,2,3,6,5,7]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,5,2,6,4,7,3,1]=>[1,3,7,4,6,2,5,8]=>[1,3,7,2,6,4,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,2,6,3,5,4,8,1]=>[1,8,4,5,3,6,2,7]=>[1,8,4,5,3,6,2,7]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[5,7,3,6,4,2,8,1]=>[1,8,2,4,6,3,7,5]=>[4,1,8,2,3,6,5,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,7,6,4,5,2,8,1]=>[1,8,2,5,4,6,7,3]=>[8,1,2,5,4,6,3,7]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]
[2,7,6,5,3,4,8,1]=>[1,8,4,3,5,6,7,2]=>[8,1,4,5,6,3,2,7]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[6,5,4,3,1,8,2,7]=>[7,2,8,1,3,4,5,6]=>[2,3,4,7,8,5,6,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[8,6,5,4,2,7,3,1]=>[1,3,7,2,4,5,6,8]=>[1,3,4,5,7,2,6,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,5,4,1,8,3,2,6]=>[6,2,3,8,1,4,5,7]=>[2,3,6,8,4,5,7,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,6,5,2,8,3,4,7]=>[7,4,3,8,2,5,6,1]=>[7,4,5,8,3,6,2,1]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[5,8,2,6,4,7,3,1]=>[1,3,7,4,6,2,8,5]=>[3,1,7,2,6,4,5,8]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[6,8,3,1,7,2,5,4]=>[4,5,2,7,1,3,8,6]=>[4,2,5,7,3,6,1,8]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]
[8,7,5,2,6,4,3,1]=>[1,3,4,6,2,5,7,8]=>[1,3,4,6,2,5,7,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,7,1,6,2,5,4,3]=>[3,4,5,2,6,1,7,8]=>[3,4,5,2,6,1,7,8]=>[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]
[2,8,1,7,3,5,6,4]=>[4,6,5,3,7,1,8,2]=>[4,1,6,5,7,3,2,8]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[4,8,1,3,7,2,6,5]=>[5,6,2,7,3,1,8,4]=>[5,2,6,3,1,7,4,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[4,2,8,5,7,3,6,1]=>[1,6,3,7,5,8,2,4]=>[6,7,1,3,2,5,4,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[3,7,1,5,8,4,2,6]=>[6,2,4,8,5,1,7,3]=>[6,2,8,4,1,5,7,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[6,7,3,1,8,4,2,5]=>[5,2,4,8,1,3,7,6]=>[5,2,4,8,1,3,7,6]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[1,7,3,8,4,5,2,6]=>[6,2,5,4,8,3,7,1]=>[6,5,8,2,4,3,7,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[1,7,2,8,5,3,4,6]=>[6,4,3,5,8,2,7,1]=>[6,4,8,3,5,7,2,1]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]
[7,6,1,8,4,3,2,5]=>[5,2,3,4,8,1,6,7]=>[2,5,8,3,4,6,7,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[8,6,1,7,4,2,5,3]=>[3,5,2,4,7,1,6,8]=>[3,5,7,2,4,8,1,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]
[8,1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1,8]=>[5,6,4,3,7,2,1,8]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]
[7,1,2,8,3,5,4,6]=>[6,4,5,3,8,2,1,7]=>[6,8,4,3,5,2,7,1]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]
[8,2,6,1,7,3,5,4]=>[4,5,3,7,1,6,2,8]=>[4,5,3,7,1,6,2,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[4,2,1,5,8,3,6,7]=>[7,6,3,8,5,1,2,4]=>[1,7,8,3,2,6,5,4]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[5,4,2,7,1,8,3,6]=>[6,3,8,1,7,2,4,5]=>[1,3,6,4,8,2,7,5]=>[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]
[5,4,3,1,6,8,2,7]=>[7,2,8,6,1,3,4,5]=>[2,3,7,8,4,1,6,5]=>[[.,[.,[[.,[.,.]],.]]],[[.,.],.]]
[4,7,5,6,8,3,2,1]=>[1,2,3,8,6,5,7,4]=>[8,1,6,5,2,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[6,5,4,8,2,7,3,1]=>[1,3,7,2,8,4,5,6]=>[1,3,7,2,8,4,5,6]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,5,1,8,7,4,2,3]=>[3,2,4,7,8,1,5,6]=>[3,7,8,2,4,5,6,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,5,8,3,2,6,4,1]=>[1,4,6,2,3,8,5,7]=>[1,4,2,6,8,3,5,7]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,7,3,8,2,6,4,1]=>[1,4,6,2,8,3,7,5]=>[8,4,6,1,7,2,3,5]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[5,4,6,8,2,7,3,1]=>[1,3,7,2,8,6,4,5]=>[3,7,6,1,8,2,4,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[4,7,2,8,6,3,5,1]=>[1,5,3,6,8,2,7,4]=>[5,3,8,1,2,6,4,7]=>[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]
[2,3,8,7,4,5,6,1]=>[1,6,5,4,7,8,3,2]=>[6,5,1,4,7,3,2,8]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[8,2,7,6,3,5,4,1]=>[1,4,5,3,6,7,2,8]=>[1,4,3,5,6,2,7,8]=>[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]
[8,1,7,6,5,2,4,3]=>[3,4,2,5,6,7,1,8]=>[3,4,2,5,6,7,1,8]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[7,1,8,6,5,3,2,4]=>[4,2,3,5,6,8,1,7]=>[4,8,2,3,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[1,2,8,7,6,3,4,5]=>[5,4,3,6,7,8,2,1]=>[5,4,3,6,7,8,2,1]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]
[1,3,8,7,4,6,2,5]=>[5,2,6,4,7,8,3,1]=>[5,4,2,6,7,1,8,3]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[1,5,8,3,7,6,2,4]=>[4,2,6,7,3,8,5,1]=>[4,2,1,6,3,7,8,5]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]
[6,8,7,2,5,4,3,1]=>[1,3,4,5,2,7,8,6]=>[3,1,2,7,4,5,6,8]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,8,7,6,5,3,4,1]=>[1,4,3,5,6,7,8,2]=>[4,1,3,5,6,7,2,8]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,8,7,6,5,4,2,3]=>[3,2,4,5,6,7,8,1]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[5,8,6,7,3,4,1,2]=>[2,1,4,3,7,6,8,5]=>[7,2,4,1,6,3,8,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[4,8,6,7,3,5,1,2]=>[2,1,5,3,7,6,8,4]=>[7,2,5,1,6,3,8,4]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,8,6,7,4,5,1,2]=>[2,1,5,4,7,6,8,3]=>[5,2,4,1,7,3,8,6]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[2,8,6,7,4,5,1,3]=>[3,1,5,4,7,6,8,2]=>[5,3,4,1,7,2,8,6]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,8,6,7,4,5,2,3]=>[3,2,5,4,7,6,8,1]=>[3,2,5,1,7,4,8,6]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,8,5,7,4,6,2,3]=>[3,2,6,4,7,5,8,1]=>[3,2,6,1,7,4,8,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,8,5,7,4,6,1,2]=>[2,1,6,4,7,5,8,3]=>[6,2,4,1,7,3,8,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[4,8,5,7,3,6,1,2]=>[2,1,6,3,7,5,8,4]=>[6,2,5,1,7,3,8,4]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[7,8,3,6,4,5,1,2]=>[2,1,5,4,6,3,8,7]=>[2,1,5,4,6,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[6,8,3,7,4,5,1,2]=>[2,1,5,4,7,3,8,6]=>[2,1,5,4,7,3,8,6]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[5,8,3,7,4,6,1,2]=>[2,1,6,4,7,3,8,5]=>[2,1,6,4,7,3,8,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[3,7,4,8,5,6,1,2]=>[2,1,6,5,8,4,7,3]=>[6,2,5,1,4,3,8,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[4,7,3,8,5,6,1,2]=>[2,1,6,5,8,3,7,4]=>[6,2,8,1,5,3,7,4]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[4,7,2,8,5,6,1,3]=>[3,1,6,5,8,2,7,4]=>[6,3,8,1,5,2,7,4]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[4,7,1,8,5,6,2,3]=>[3,2,6,5,8,1,7,4]=>[3,2,6,1,5,4,8,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,7,1,8,5,6,2,4]=>[4,2,6,5,8,1,7,3]=>[4,2,6,1,5,3,8,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[2,7,3,8,5,6,1,4]=>[4,1,6,5,8,3,7,2]=>[6,4,5,1,3,2,8,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[2,7,4,8,5,6,1,3]=>[3,1,6,5,8,4,7,2]=>[6,3,5,1,4,2,8,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[5,8,2,7,4,6,1,3]=>[3,1,6,4,7,2,8,5]=>[3,1,6,4,7,2,8,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[6,8,2,7,4,5,1,3]=>[3,1,5,4,7,2,8,6]=>[3,1,5,4,7,2,8,6]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[7,8,2,6,4,5,1,3]=>[3,1,5,4,6,2,8,7]=>[3,1,5,4,6,2,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[7,8,1,6,4,5,2,3]=>[3,2,5,4,6,1,8,7]=>[3,2,5,4,6,1,8,7]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[6,8,1,7,4,5,2,3]=>[3,2,5,4,7,1,8,6]=>[3,2,5,4,7,1,8,6]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[5,8,1,7,4,6,2,3]=>[3,2,6,4,7,1,8,5]=>[3,2,6,4,7,1,8,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[1,7,4,8,5,6,2,3]=>[3,2,6,5,8,4,7,1]=>[6,3,5,2,4,1,8,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[1,7,3,8,5,6,2,4]=>[4,2,6,5,8,3,7,1]=>[6,4,5,2,3,1,8,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[2,8,5,6,1,7,3,4]=>[4,3,7,1,6,5,8,2]=>[7,4,6,3,8,1,5,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[1,8,5,6,2,7,3,4]=>[4,3,7,2,6,5,8,1]=>[4,3,7,2,8,1,6,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[1,7,3,8,4,6,2,5]=>[5,2,6,4,8,3,7,1]=>[5,4,6,2,3,1,8,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[4,8,1,7,3,6,2,5]=>[5,2,6,3,7,1,8,4]=>[5,2,6,3,7,1,8,4]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[5,8,1,7,3,6,2,4]=>[4,2,6,3,7,1,8,5]=>[4,2,6,3,7,1,8,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[6,8,1,7,3,5,2,4]=>[4,2,5,3,7,1,8,6]=>[4,2,5,3,7,1,8,6]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[7,8,2,6,3,5,1,4]=>[4,1,5,3,6,2,8,7]=>[4,1,5,3,6,2,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[6,8,2,7,3,5,1,4]=>[4,1,5,3,7,2,8,6]=>[4,1,5,3,7,2,8,6]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[5,8,2,7,3,6,1,4]=>[4,1,6,3,7,2,8,5]=>[4,1,6,3,7,2,8,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[4,8,2,7,3,6,1,5]=>[5,1,6,3,7,2,8,4]=>[5,1,6,3,7,2,8,4]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[2,7,3,8,4,6,1,5]=>[5,1,6,4,8,3,7,2]=>[5,4,6,1,3,2,8,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,7,2,8,4,6,1,5]=>[5,1,6,4,8,2,7,3]=>[5,4,8,1,6,2,7,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,7,1,8,4,6,2,5]=>[5,2,6,4,8,1,7,3]=>[5,2,6,1,4,3,8,7]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,8,4,7,3,6,2,5]=>[5,2,6,3,7,4,8,1]=>[5,2,6,1,7,3,8,4]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[2,8,4,7,3,6,1,5]=>[5,1,6,3,7,4,8,2]=>[5,3,6,1,7,2,8,4]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,8,4,7,2,6,1,5]=>[5,1,6,2,7,4,8,3]=>[5,4,6,1,7,2,8,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[4,8,5,7,2,6,1,3]=>[3,1,6,2,7,5,8,4]=>[6,3,5,1,7,2,8,4]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,8,5,7,2,6,1,4]=>[4,1,6,2,7,5,8,3]=>[6,4,5,1,7,2,8,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[2,8,5,7,3,6,1,4]=>[4,1,6,3,7,5,8,2]=>[4,3,6,1,7,2,8,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,8,5,7,3,6,2,4]=>[4,2,6,3,7,5,8,1]=>[4,2,6,1,7,3,8,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,8,6,7,3,5,2,4]=>[4,2,5,3,7,6,8,1]=>[4,2,5,1,7,3,8,6]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[2,8,6,7,3,5,1,4]=>[4,1,5,3,7,6,8,2]=>[4,3,5,1,7,2,8,6]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,8,6,7,2,5,1,4]=>[4,1,5,2,7,6,8,3]=>[7,4,5,1,6,2,8,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[4,8,6,7,2,5,1,3]=>[3,1,5,2,7,6,8,4]=>[7,3,5,1,6,2,8,4]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[5,8,6,7,2,4,1,3]=>[3,1,4,2,7,6,8,5]=>[7,3,4,1,6,2,8,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[6,8,5,7,1,4,2,3]=>[3,2,4,1,7,5,8,6]=>[3,2,7,4,8,5,6,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[5,8,6,7,1,4,2,3]=>[3,2,4,1,7,6,8,5]=>[3,2,4,1,7,6,8,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[4,8,6,7,1,5,2,3]=>[3,2,5,1,7,6,8,4]=>[3,2,5,1,7,6,8,4]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[3,8,6,7,1,5,2,4]=>[4,2,5,1,7,6,8,3]=>[4,2,5,1,7,6,8,3]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[1,5,2,8,6,7,3,4]=>[4,3,7,6,8,2,5,1]=>[4,3,7,2,6,1,8,5]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[2,6,1,8,5,7,3,4]=>[4,3,7,5,8,1,6,2]=>[4,3,7,1,5,2,8,6]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[1,6,2,8,5,7,3,4]=>[4,3,7,5,8,2,6,1]=>[4,3,7,2,5,1,8,6]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[3,8,5,7,1,6,2,4]=>[4,2,6,1,7,5,8,3]=>[4,2,6,1,7,5,8,3]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[6,8,4,7,1,5,2,3]=>[3,2,5,1,7,4,8,6]=>[3,2,5,4,7,6,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[7,8,4,6,1,5,2,3]=>[3,2,5,1,6,4,8,7]=>[3,2,5,4,8,6,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[7,8,3,6,1,5,2,4]=>[4,2,5,1,6,3,8,7]=>[4,2,5,3,8,6,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[6,8,3,7,1,5,2,4]=>[4,2,5,1,7,3,8,6]=>[4,2,5,3,7,6,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[4,8,3,7,1,6,2,5]=>[5,2,6,1,7,3,8,4]=>[5,2,6,3,7,4,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[3,8,4,7,1,6,2,5]=>[5,2,6,1,7,4,8,3]=>[5,2,6,1,7,4,8,3]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[2,6,1,8,4,7,3,5]=>[5,3,7,4,8,1,6,2]=>[5,3,7,1,4,2,8,6]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,7,2,6,1,8,4,5]=>[5,4,8,1,6,2,7,3]=>[5,1,6,4,8,2,7,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[3,7,1,6,2,8,4,5]=>[5,4,8,2,6,1,7,3]=>[5,4,8,6,7,2,3,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[4,8,1,6,2,7,3,5]=>[5,3,7,2,6,1,8,4]=>[5,3,7,6,8,2,4,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[5,8,1,6,2,7,3,4]=>[4,3,7,2,6,1,8,5]=>[4,3,7,6,8,2,5,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[7,8,1,5,2,6,3,4]=>[4,3,6,2,5,1,8,7]=>[4,3,6,5,8,2,7,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[7,8,2,5,1,6,3,4]=>[4,3,6,1,5,2,8,7]=>[4,3,6,5,8,1,7,2]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[6,8,2,5,1,7,3,4]=>[4,3,7,1,5,2,8,6]=>[4,3,7,5,8,1,6,2]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[5,8,2,6,1,7,3,4]=>[4,3,7,1,6,2,8,5]=>[4,1,7,3,8,2,6,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[4,8,2,6,1,7,3,5]=>[5,3,7,1,6,2,8,4]=>[5,1,7,3,8,2,6,4]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[1,7,3,6,2,8,4,5]=>[5,4,8,2,6,3,7,1]=>[5,4,6,2,8,1,7,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[2,7,3,6,1,8,4,5]=>[5,4,8,1,6,3,7,2]=>[5,4,6,3,8,1,7,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],.]
[1,2,3,4,5,6,8,9,7]=>[7,9,8,6,5,4,3,2,1]=>[9,7,6,5,4,3,2,1,8]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]
[1,2,3,4,5,7,8,9,6]=>[6,9,8,7,5,4,3,2,1]=>[9,8,6,5,4,3,2,1,7]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]
[1,2,3,4,6,7,8,9,5]=>[5,9,8,7,6,4,3,2,1]=>[9,8,7,5,4,3,2,1,6]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]
[1,2,3,5,6,7,8,9,4]=>[4,9,8,7,6,5,3,2,1]=>[9,8,7,6,4,3,2,1,5]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]
[1,2,4,5,6,7,8,9,3]=>[3,9,8,7,6,5,4,2,1]=>[9,8,7,6,5,3,2,1,4]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]
[1,3,4,5,6,7,8,9,2]=>[2,9,8,7,6,5,4,3,1]=>[9,8,7,6,5,4,2,1,3]=>[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]
[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]=>[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]
[1,2,3,4,5,6,9,8,7]=>[7,8,9,6,5,4,3,2,1]=>[7,6,5,4,3,2,1,8,9]=>[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]
[1,2,3,4,5,6,7,9,10,8]=>[8,10,9,7,6,5,4,3,2,1]=>[10,8,7,6,5,4,3,2,1,9]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]
[1,2,3,4,5,8,7,9,6]=>[6,9,7,8,5,4,3,2,1]=>[9,6,5,4,3,2,7,1,8]=>[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]]
[1,2,3,4,5,6,8,9,10,7]=>[7,10,9,8,6,5,4,3,2,1]=>[10,9,7,6,5,4,3,2,1,8]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]
[1,2,3,4,5,7,8,9,10,6]=>[6,10,9,8,7,5,4,3,2,1]=>[10,9,8,6,5,4,3,2,1,7]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]
[1,2,3,6,5,7,8,9,4]=>[4,9,8,7,5,6,3,2,1]=>[9,8,7,4,5,3,2,1,6]=>[[[[[[[.,.],.],.],[.,.]],.],.],[.,.]]
[1,2,3,4,6,7,8,9,10,5]=>[5,10,9,8,7,6,4,3,2,1]=>[10,9,8,7,5,4,3,2,1,6]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]
[1,2,3,5,6,7,8,9,10,4]=>[4,10,9,8,7,6,5,3,2,1]=>[10,9,8,7,6,4,3,2,1,5]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]
[1,2,4,5,6,7,8,9,10,3]=>[3,10,9,8,7,6,5,4,2,1]=>[10,9,8,7,6,5,3,2,1,4]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]
[3,2,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,2,3]=>[1,9,8,7,6,5,4,2,3]=>[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]
[1,3,4,5,6,7,8,9,10,2]=>[2,10,9,8,7,6,5,4,3,1]=>[10,9,8,7,6,5,4,2,1,3]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]
[6,7,4,8,3,5,1,2]=>[2,1,5,3,8,4,7,6]=>[8,2,3,1,5,4,7,6]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[6,7,4,5,2,8,1,3]=>[3,1,8,2,5,4,7,6]=>[3,1,8,2,5,4,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,7,4,6,2,3,1,8]=>[8,1,3,2,6,4,7,5]=>[3,1,6,2,8,4,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,7,4,6,3,8,1,2]=>[2,1,8,3,6,4,7,5]=>[2,1,8,3,6,4,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,7,4,8,3,6,1,2]=>[2,1,6,3,8,4,7,5]=>[8,2,3,1,6,4,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[6,8,4,5,3,7,1,2]=>[2,1,7,3,5,4,8,6]=>[2,1,7,3,5,4,8,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,8,4,6,3,7,1,2]=>[2,1,7,3,6,4,8,5]=>[2,1,7,3,6,4,8,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,6,3,7,2,4,1,8]=>[8,1,4,2,7,3,6,5]=>[8,1,4,2,7,3,6,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,6,3,7,2,8,1,4]=>[4,1,8,2,7,3,6,5]=>[8,1,7,2,4,3,6,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,6,3,8,2,7,1,4]=>[4,1,7,2,8,3,6,5]=>[7,1,4,2,6,3,8,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,6,4,8,2,7,1,3]=>[3,1,7,2,8,4,6,5]=>[7,1,3,2,6,4,8,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,8,4,6,2,7,1,3]=>[3,1,7,2,6,4,8,5]=>[3,1,7,2,6,4,8,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[6,8,4,5,2,7,1,3]=>[3,1,7,2,5,4,8,6]=>[3,1,7,2,5,4,8,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[7,8,4,5,2,6,1,3]=>[3,1,6,2,5,4,8,7]=>[3,1,6,2,5,4,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[6,8,4,5,2,3,1,7]=>[7,1,3,2,5,4,8,6]=>[3,1,7,2,8,5,6,4]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]
[5,8,4,6,2,3,1,7]=>[7,1,3,2,6,4,8,5]=>[3,1,7,2,8,4,6,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,6,4,8,2,3,1,7]=>[7,1,3,2,8,4,6,5]=>[7,1,3,2,8,4,6,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,6,3,8,2,4,1,7]=>[7,1,4,2,8,3,6,5]=>[7,1,4,2,8,3,6,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,6,3,4,2,8,1,7]=>[7,1,8,2,4,3,6,5]=>[7,1,8,2,4,3,6,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,6,3,5,2,7,1,8]=>[8,1,7,2,5,3,6,4]=>[5,1,8,2,7,3,6,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,6,3,5,2,8,1,7]=>[7,1,8,2,5,3,6,4]=>[7,1,8,2,5,3,6,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,6,3,8,2,5,1,7]=>[7,1,5,2,8,3,6,4]=>[7,1,5,2,8,3,6,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,8,3,6,2,5,1,7]=>[7,1,5,2,6,3,8,4]=>[5,1,7,2,8,3,6,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,8,3,6,2,4,1,7]=>[7,1,4,2,6,3,8,5]=>[4,1,7,2,8,3,6,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[6,8,3,5,2,4,1,7]=>[7,1,4,2,5,3,8,6]=>[4,1,7,2,8,5,6,3]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]
[7,8,3,5,2,4,1,6]=>[6,1,4,2,5,3,8,7]=>[4,1,6,2,8,5,7,3]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]
[7,8,3,5,2,6,1,4]=>[4,1,6,2,5,3,8,7]=>[4,1,6,2,5,3,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,8,3,6,2,7,1,4]=>[4,1,7,2,6,3,8,5]=>[4,1,7,2,6,3,8,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,8,3,6,2,7,1,5]=>[5,1,7,2,6,3,8,4]=>[5,1,7,2,6,3,8,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,6,3,8,2,7,1,5]=>[5,1,7,2,8,3,6,4]=>[7,1,5,2,6,3,8,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,6,3,7,2,8,1,5]=>[5,1,8,2,7,3,6,4]=>[8,1,7,2,5,3,6,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,7,3,6,2,5,1,8]=>[8,1,5,2,6,3,7,4]=>[5,1,6,2,8,3,7,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,7,3,6,2,8,1,5]=>[5,1,8,2,6,3,7,4]=>[5,1,8,2,6,3,7,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,7,3,8,2,6,1,5]=>[5,1,6,2,8,3,7,4]=>[8,1,5,2,6,3,7,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,7,4,8,2,6,1,3]=>[3,1,6,2,8,4,7,5]=>[8,1,3,2,6,4,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,7,3,6,2,8,1,4]=>[4,1,8,2,6,3,7,5]=>[4,1,8,2,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,7,3,6,2,4,1,8]=>[8,1,4,2,6,3,7,5]=>[4,1,6,2,8,3,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[6,7,3,5,2,4,1,8]=>[8,1,4,2,5,3,7,6]=>[4,1,5,2,8,3,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[6,7,3,5,2,8,1,4]=>[4,1,8,2,5,3,7,6]=>[4,1,8,2,5,3,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[6,7,4,8,2,5,1,3]=>[3,1,5,2,8,4,7,6]=>[8,1,3,2,5,4,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[6,7,5,8,2,4,1,3]=>[3,1,4,2,8,5,7,6]=>[8,3,4,1,5,2,7,6]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[6,8,5,7,2,3,1,4]=>[4,1,3,2,7,5,8,6]=>[4,1,7,3,8,5,6,2]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]
[6,7,4,8,2,3,1,5]=>[5,1,3,2,8,4,7,6]=>[5,1,3,2,8,4,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[6,7,3,8,2,4,1,5]=>[5,1,4,2,8,3,7,6]=>[5,1,4,2,8,3,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[6,7,3,4,2,8,1,5]=>[5,1,8,2,4,3,7,6]=>[5,1,8,2,4,3,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,7,3,4,2,6,1,8]=>[8,1,6,2,4,3,7,5]=>[6,1,8,2,7,4,5,3]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]
[5,7,3,4,2,8,1,6]=>[6,1,8,2,4,3,7,5]=>[6,1,8,2,4,3,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,7,4,8,2,3,1,6]=>[6,1,3,2,8,4,7,5]=>[6,1,3,2,8,4,7,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,8,4,7,2,3,1,6]=>[6,1,3,2,7,4,8,5]=>[6,1,7,3,8,4,5,2]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]
[6,8,4,7,2,3,1,5]=>[5,1,3,2,7,4,8,6]=>[5,1,7,3,8,4,6,2]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]
[7,8,4,6,2,3,1,5]=>[5,1,3,2,6,4,8,7]=>[5,1,6,3,8,4,7,2]=>[[.,.],[[[.,.],[[.,.],[.,.]]],.]]
[7,8,3,6,2,4,1,5]=>[5,1,4,2,6,3,8,7]=>[5,1,6,2,8,4,7,3]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]
[6,8,3,7,2,4,1,5]=>[5,1,4,2,7,3,8,6]=>[5,1,7,2,8,4,6,3]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]
[5,8,3,7,2,4,1,6]=>[6,1,4,2,7,3,8,5]=>[6,1,7,2,8,4,5,3]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]
[4,8,3,7,2,5,1,6]=>[6,1,5,2,7,3,8,4]=>[6,1,7,2,8,3,5,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,7,3,8,2,5,1,6]=>[6,1,5,2,8,3,7,4]=>[6,1,5,2,8,3,7,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,7,3,5,2,8,1,6]=>[6,1,8,2,5,3,7,4]=>[6,1,8,2,5,3,7,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,7,3,5,2,6,1,8]=>[8,1,6,2,5,3,7,4]=>[6,1,8,2,7,3,5,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,5,3,7,2,6,1,8]=>[8,1,6,2,7,3,5,4]=>[8,1,6,2,7,3,5,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,5,3,7,2,8,1,6]=>[6,1,8,2,7,3,5,4]=>[8,1,6,2,5,3,7,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,5,3,8,2,7,1,6]=>[6,1,7,2,8,3,5,4]=>[6,1,5,2,7,3,8,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,8,3,5,2,7,1,6]=>[6,1,7,2,5,3,8,4]=>[6,1,7,2,5,3,8,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,8,3,4,2,7,1,6]=>[6,1,7,2,4,3,8,5]=>[6,1,7,2,4,3,8,5]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[6,8,3,4,2,7,1,5]=>[5,1,7,2,4,3,8,6]=>[5,1,7,2,4,3,8,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[7,8,3,4,2,6,1,5]=>[5,1,6,2,4,3,8,7]=>[5,1,6,2,4,3,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[6,8,3,4,2,5,1,7]=>[7,1,5,2,4,3,8,6]=>[7,1,8,2,5,4,6,3]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]
[5,8,3,4,2,6,1,7]=>[7,1,6,2,4,3,8,5]=>[7,1,8,2,6,4,5,3]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]
[4,8,3,5,2,6,1,7]=>[7,1,6,2,5,3,8,4]=>[7,1,8,2,6,3,5,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,5,3,8,2,6,1,7]=>[7,1,6,2,8,3,5,4]=>[7,1,6,2,8,3,5,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,5,3,6,2,8,1,7]=>[7,1,8,2,6,3,5,4]=>[7,1,6,2,5,3,8,4]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,7,5,2,1,8,3,6]=>[6,3,8,1,2,5,7,4]=>[6,1,3,5,8,2,7,4]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,6,5,2,1,3,8,7]=>[7,8,3,1,2,5,6,4]=>[7,1,3,5,8,6,2,4]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[5,6,4,2,3,1,8,7]=>[7,8,1,3,2,4,6,5]=>[7,1,3,8,4,6,2,5]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[6,4,5,3,1,2,8,7]=>[7,8,2,1,3,5,4,6]=>[2,7,3,5,8,6,1,4]=>[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]
[5,4,6,1,3,2,8,7]=>[7,8,2,3,1,6,4,5]=>[2,7,3,8,4,6,1,5]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[4,7,8,1,6,3,5,2]=>[2,5,3,6,1,8,7,4]=>[5,2,1,8,3,6,4,7]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[7,4,8,1,6,5,3,2]=>[2,3,5,6,1,8,4,7]=>[2,5,1,8,3,4,6,7]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[5,4,8,1,3,7,6,2]=>[2,6,7,3,1,8,4,5]=>[6,7,2,8,3,1,4,5]=>[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]
[6,4,8,1,7,5,2,3]=>[3,2,5,7,1,8,4,6]=>[3,5,2,7,4,6,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[5,6,8,7,2,1,3,4]=>[4,3,1,2,7,8,6,5]=>[4,3,1,2,7,8,6,5]=>[[[.,.],.],[.,[[[.,[.,.]],.],.]]]
[8,5,7,6,4,2,1,3]=>[3,1,2,4,6,7,5,8]=>[1,3,2,4,6,7,8,5]=>[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]
[6,3,2,8,7,4,1,5]=>[5,1,4,7,8,2,3,6]=>[5,7,8,1,2,4,6,3]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[7,6,8,5,2,4,3,1]=>[1,3,4,2,5,8,6,7]=>[1,3,2,4,8,5,6,7]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,7,8,6,2,3,1,4]=>[4,1,3,2,6,8,7,5]=>[4,3,1,2,8,6,7,5]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]
[5,8,7,6,3,2,1,4]=>[4,1,2,3,6,7,8,5]=>[4,1,2,3,6,7,8,5]=>[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]
[6,8,7,5,3,2,4,1]=>[1,4,2,3,5,7,8,6]=>[4,1,2,3,5,7,6,8]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[7,8,4,2,6,5,3,1]=>[1,3,5,6,2,4,8,7]=>[3,1,5,8,2,4,6,7]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[4,8,6,2,7,3,1,5]=>[5,1,3,7,2,6,8,4]=>[5,1,3,7,2,6,8,4]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]
[3,7,1,6,8,2,5,4]=>[4,5,2,8,6,1,7,3]=>[4,2,8,5,1,6,3,7]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[6,8,4,2,7,5,1,3]=>[3,1,5,7,2,4,8,6]=>[3,1,5,7,2,4,8,6]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[8,3,2,6,7,5,1,4]=>[4,1,5,7,6,2,3,8]=>[4,5,7,6,1,2,8,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]
[5,8,6,7,3,1,2,4]=>[4,2,1,3,7,6,8,5]=>[4,2,3,1,7,8,6,5]=>[[[.,.],[.,.]],[[[.,[.,.]],.],.]]
[6,7,5,8,1,3,4,2]=>[2,4,3,1,8,5,7,6]=>[4,2,3,1,8,7,5,6]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[7,6,5,8,1,4,3,2]=>[2,3,4,1,8,5,6,7]=>[2,3,4,1,8,5,6,7]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[8,6,5,7,4,1,3,2]=>[2,3,1,4,7,5,6,8]=>[2,3,4,1,5,7,6,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[7,6,4,3,8,1,5,2]=>[2,5,1,8,3,4,6,7]=>[2,3,5,6,1,8,4,7]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[2,1,7,6,8,3,5,4]=>[4,5,3,8,6,7,1,2]=>[4,8,3,5,1,6,2,7]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[7,5,6,8,1,4,2,3]=>[3,2,4,1,8,6,5,7]=>[3,4,2,1,8,6,7,5]=>[[[.,[.,.]],.],[[[.,.],[.,.]],.]]
[6,5,7,8,1,2,4,3]=>[3,4,2,1,8,7,5,6]=>[3,4,2,1,8,7,5,6]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[5,2,8,7,4,6,1,3]=>[3,1,6,4,7,8,2,5]=>[3,6,1,4,7,2,8,5]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[1,6,2,5,4,7,3,8]=>[8,3,7,4,5,2,6,1]=>[8,3,7,4,5,2,6,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[6,2,7,5,4,8,3,1]=>[1,3,8,4,5,7,2,6]=>[3,8,1,2,7,4,5,6]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[6,1,8,3,4,5,7,2]=>[2,7,5,4,3,8,1,6]=>[7,8,2,5,4,3,1,6]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]
[7,1,5,3,4,8,6,2]=>[2,6,8,4,3,5,1,7]=>[2,6,4,8,3,1,5,7]=>[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]
[8,1,3,4,5,6,7,2]=>[2,7,6,5,4,3,1,8]=>[2,7,6,5,4,3,1,8]=>[[.,[[[[[.,.],.],.],.],.]],[.,.]]
[6,3,2,7,5,1,8,4]=>[4,8,1,5,7,2,3,6]=>[1,4,8,2,5,7,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,4,7,2,5,6,1,3]=>[3,1,6,5,2,7,4,8]=>[3,6,1,7,5,2,8,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[6,5,8,2,4,7,3,1]=>[1,3,7,4,2,8,5,6]=>[1,7,3,8,4,2,5,6]=>[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]
[6,5,2,8,4,1,3,7]=>[7,3,1,4,8,2,5,6]=>[3,4,7,1,5,8,6,2]=>[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]
[3,6,1,8,5,2,4,7]=>[7,4,2,5,8,1,6,3]=>[7,4,8,2,5,6,3,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[6,3,8,5,2,1,4,7]=>[7,4,1,2,5,8,3,6]=>[4,7,1,2,5,8,6,3]=>[[.,[.,.]],[.,[[.,[[.,.],.]],.]]]
[3,8,2,6,1,5,7,4]=>[4,7,5,1,6,2,8,3]=>[4,1,5,2,7,6,3,8]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[1,7,5,6,3,2,4,8]=>[8,4,2,3,6,5,7,1]=>[8,2,4,3,6,7,5,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[6,1,2,3,8,5,7,4]=>[4,7,5,8,3,2,1,6]=>[7,8,4,3,2,5,1,6]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]
[7,1,2,3,6,5,8,4]=>[4,8,5,6,3,2,1,7]=>[4,8,5,3,2,6,1,7]=>[[[[.,[[.,.],.]],.],[.,.]],[.,.]]
[7,2,1,3,8,6,4,5]=>[5,4,6,8,3,1,2,7]=>[5,6,8,4,1,3,7,2]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]
[5,2,7,3,1,8,4,6]=>[6,4,8,1,3,7,2,5]=>[6,8,1,4,7,3,5,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]
[5,8,2,4,1,3,7,6]=>[6,7,3,1,4,2,8,5]=>[6,3,7,4,8,5,1,2]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[8,7,2,6,3,4,1,5]=>[5,1,4,3,6,2,7,8]=>[1,5,6,4,7,3,8,2]=>[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]
[4,8,1,6,3,2,7,5]=>[5,7,2,3,6,1,8,4]=>[5,2,7,3,6,8,1,4]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[3,1,8,6,4,2,7,5]=>[5,7,2,4,6,8,1,3]=>[5,7,2,4,6,8,1,3]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[8,1,6,7,4,3,2,5]=>[5,2,3,4,7,6,1,8]=>[2,5,3,1,4,7,8,6]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[3,5,8,7,2,4,1,6]=>[6,1,4,2,7,8,5,3]=>[6,4,1,2,7,5,8,3]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]
[4,2,1,3,7,8,5,6]=>[6,5,8,7,3,1,2,4]=>[1,6,8,5,3,2,7,4]=>[.,[[[[.,[.,.]],.],.],[[.,.],.]]]
[2,8,1,3,6,4,7,5]=>[5,7,4,6,3,1,8,2]=>[5,4,7,6,3,8,1,2]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,8]=>[9,1,2,3,4,5,6,7,8]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,9,7,8]=>[1,9,2,3,4,5,6,7,8]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,9,5,4,3,2,1]=>[1,2,3,4,5,9,6,7,8]=>[1,2,9,3,4,5,6,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,9,4,3,2,1]=>[1,2,3,4,9,5,6,7,8]=>[1,2,3,9,4,5,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,4,9,3,2,1]=>[1,2,3,9,4,5,6,7,8]=>[1,2,3,4,9,5,6,7,8]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]
[8,7,6,5,4,3,9,2,1]=>[1,2,9,3,4,5,6,7,8]=>[1,2,3,4,5,9,6,7,8]=>[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]
[8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,9,7,8]=>[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]
[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,9,8]=>[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]
[9,10,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,10,9]=>[10,1,2,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,9,8,7]=>[9,8,1,2,3,4,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[9,8,10,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,10,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,10,6,5,4,3,2,1]=>[1,2,3,4,5,6,10,7,8,9]=>[1,2,10,3,4,5,6,7,8,9]=>[.,[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,10,5,4,3,2,1]=>[1,2,3,4,5,10,6,7,8,9]=>[1,2,3,10,4,5,6,7,8,9]=>[.,[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]]
[8,7,6,4,5,9,3,2,1]=>[1,2,3,9,5,4,6,7,8]=>[1,2,3,9,5,4,6,7,8]=>[.,[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]]
[9,8,7,6,5,10,4,3,2,1]=>[1,2,3,4,10,5,6,7,8,9]=>[1,2,3,4,10,5,6,7,8,9]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[9,8,7,6,5,4,10,3,2,1]=>[1,2,3,10,4,5,6,7,8,9]=>[1,2,3,4,5,10,6,7,8,9]=>[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]]
[9,8,7,6,5,4,3,10,2,1]=>[1,2,10,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,10,7,8,9]=>[.,[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]]]
[8,7,6,5,4,3,1,2,9]=>[9,2,1,3,4,5,6,7,8]=>[2,3,4,5,6,7,9,8,1]=>[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]
[9,8,7,6,5,4,3,2,10,1]=>[1,10,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,10,8,9]=>[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]
[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,10,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]
[1,7,3,8,5,2,4,6]=>[6,4,2,5,8,3,7,1]=>[6,4,5,2,3,8,7,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[1,7,3,2,8,6,4,5]=>[5,4,6,8,2,3,7,1]=>[5,4,6,8,2,3,7,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[7,2,3,1,8,5,6,4]=>[4,6,5,8,1,3,2,7]=>[4,6,5,8,1,3,2,7]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[8,2,5,1,7,3,4,6]=>[6,4,3,7,1,5,2,8]=>[6,7,4,8,1,5,3,2]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[6,2,8,3,5,1,7,4]=>[4,7,1,5,3,8,2,6]=>[4,7,1,5,3,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[6,2,4,8,5,7,1,3]=>[3,1,7,5,8,4,2,6]=>[3,7,5,1,4,2,8,6]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[6,2,1,3,7,8,4,5]=>[5,4,8,7,3,1,2,6]=>[1,5,8,4,3,2,7,6]=>[.,[[[[.,[.,.]],.],.],[[.,.],.]]]
[7,8,2,1,4,3,5,6]=>[6,5,3,4,1,2,8,7]=>[3,1,6,8,5,7,4,2]=>[[.,.],[[[[.,[.,.]],[.,.]],.],.]]
[7,6,4,2,3,1,8,5]=>[5,8,1,3,2,4,6,7]=>[1,3,5,6,4,8,2,7]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,7,2,3,1,6,8,4]=>[4,8,6,1,3,2,7,5]=>[4,1,8,6,7,3,2,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[7,5,4,2,6,8,1,3]=>[3,1,8,6,2,4,5,7]=>[1,3,4,8,6,2,7,5]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]
[1,7,5,3,4,6,8,2]=>[2,8,6,4,3,5,7,1]=>[8,2,4,6,5,3,1,7]=>[[[.,.],[[.,[[.,.],.]],.]],[.,.]]
[5,2,6,3,1,8,7,4]=>[4,7,8,1,3,6,2,5]=>[4,7,3,6,8,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[8,2,6,4,3,1,7,5]=>[5,7,1,3,4,6,2,8]=>[1,5,3,4,7,8,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,2,7,4,1,3,5,6]=>[6,5,3,1,4,7,2,8]=>[3,6,1,7,8,5,4,2]=>[[.,[.,.]],[[[[.,[.,.]],.],.],.]]
[1,2,8,4,3,5,6,7]=>[7,6,5,3,4,8,2,1]=>[7,6,3,5,8,4,2,1]=>[[[[[.,.],.],[[.,[.,.]],.]],.],.]
[6,8,4,1,3,2,5,7]=>[7,5,2,3,1,4,8,6]=>[7,2,3,8,5,6,4,1]=>[[[.,.],[.,[[[.,.],[.,.]],.]]],.]
[1,6,3,8,2,4,7,5]=>[5,7,4,2,8,3,6,1]=>[5,4,7,2,8,3,1,6]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[5,1,8,3,2,6,4,7]=>[7,4,6,2,3,8,1,5]=>[4,7,2,6,8,3,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,7,3,1,2,6,4,8]=>[8,4,6,2,1,3,7,5]=>[4,2,6,8,7,3,5,1]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[1,5,8,2,4,6,3,7]=>[7,3,6,4,2,8,5,1]=>[7,6,3,8,4,2,5,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]
[1,5,8,4,2,7,3,6]=>[6,3,7,2,4,8,5,1]=>[6,3,2,7,8,4,5,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[1,4,6,2,8,3,7,5]=>[5,7,3,8,2,6,4,1]=>[5,3,2,7,1,6,4,8]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[1,7,4,5,3,8,6,2]=>[2,6,8,3,5,4,7,1]=>[6,2,5,3,8,1,4,7]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[6,3,4,1,2,5,8,7]=>[7,8,5,2,1,4,3,6]=>[2,7,5,8,6,4,1,3]=>[[.,[[[.,.],[[.,.],.]],.]],[.,.]]
[6,3,1,4,2,7,5,8]=>[8,5,7,2,4,1,3,6]=>[2,5,8,4,7,1,6,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]
[1,8,3,2,4,5,6,7]=>[7,6,5,4,2,3,8,1]=>[7,2,6,8,5,4,3,1]=>[[[.,.],[[[[.,[.,.]],.],.],.]],.]
[8,5,3,2,6,7,1,4]=>[4,1,7,6,2,3,5,8]=>[1,2,4,7,6,3,8,5]=>[.,[.,[[.,[[.,.],.]],[[.,.],.]]]]
[4,2,5,6,7,8,1,3]=>[3,1,8,7,6,5,2,4]=>[1,8,7,6,3,2,5,4]=>[.,[[[[[.,.],.],.],.],[[.,.],.]]]
[5,2,3,6,7,1,8,4]=>[4,8,1,7,6,3,2,5]=>[1,8,7,4,3,6,2,5]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[6,2,3,4,1,7,8,5]=>[5,8,7,1,4,3,2,6]=>[1,8,5,4,7,3,2,6]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[7,2,3,1,4,5,8,6]=>[6,8,5,4,1,3,2,7]=>[1,6,5,8,4,3,2,7]=>[.,[[[[[.,.],[.,.]],.],.],[.,.]]]
[8,6,1,4,3,2,5,7]=>[7,5,2,3,4,1,6,8]=>[2,3,7,5,6,8,4,1]=>[[.,[.,[[[.,.],[.,[.,.]]],.]]],.]
[3,7,5,1,8,2,4,6]=>[6,4,2,8,1,5,7,3]=>[6,4,5,8,2,7,3,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[4,1,5,2,8,7,3,6]=>[6,3,7,8,2,5,1,4]=>[6,7,3,5,2,4,8,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[8,1,2,5,4,6,3,7]=>[7,3,6,4,5,2,1,8]=>[3,7,6,4,5,2,8,1]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[8,3,1,6,2,5,4,7]=>[7,4,5,2,6,1,3,8]=>[4,5,7,2,6,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,1,2,6,4,5,3,7]=>[7,3,5,4,6,2,1,8]=>[3,7,5,4,6,2,8,1]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[1,7,5,4,2,8,3,6]=>[6,3,8,2,4,5,7,1]=>[6,3,4,5,8,2,7,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[5,1,4,8,2,7,3,6]=>[6,3,7,2,8,4,1,5]=>[6,7,3,2,8,4,5,1]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[1,4,6,8,2,7,3,5]=>[5,3,7,2,8,6,4,1]=>[5,3,2,1,7,6,8,4]=>[[[[.,.],.],.],[[[.,.],[.,.]],.]]
[5,1,4,7,2,8,3,6]=>[6,3,8,2,7,4,1,5]=>[3,6,4,2,8,1,7,5]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]
[5,7,2,8,1,3,4,6]=>[6,4,3,1,8,2,7,5]=>[6,1,4,3,8,7,5,2]=>[[.,.],[[[.,.],[[[.,.],.],.]],.]]
[5,2,8,7,1,3,4,6]=>[6,4,3,1,7,8,2,5]=>[6,7,1,4,8,5,3,2]=>[[.,[.,.]],[[[.,[[.,.],.]],.],.]]
[4,1,5,8,2,7,3,6]=>[6,3,7,2,8,5,1,4]=>[6,7,3,2,5,4,8,1]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[1,4,6,2,8,7,3,5]=>[5,3,7,8,2,6,4,1]=>[5,3,2,7,1,6,8,4]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]
[1,4,2,8,6,7,3,5]=>[5,3,7,6,8,2,4,1]=>[5,3,7,2,6,1,8,4]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[1,4,7,2,6,8,3,5]=>[5,3,8,6,2,7,4,1]=>[5,3,2,8,6,1,7,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[3,1,2,8,4,6,7,5]=>[5,7,6,4,8,2,1,3]=>[5,7,6,2,4,3,1,8]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]
[3,1,2,7,6,4,8,5]=>[5,8,4,6,7,2,1,3]=>[5,8,4,2,6,7,1,3]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]
[5,3,7,1,8,2,4,6]=>[6,4,2,8,1,7,3,5]=>[2,6,4,8,3,7,5,1]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]
[1,7,4,3,2,5,8,6]=>[6,8,5,2,3,4,7,1]=>[6,2,3,5,8,4,1,7]=>[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]
[4,8,7,2,1,3,5,6]=>[6,5,3,1,2,7,8,4]=>[6,1,3,7,8,5,4,2]=>[[.,.],[[.,[[[.,[.,.]],.],.]],.]]
[1,8,7,3,4,2,5,6]=>[6,5,2,4,3,7,8,1]=>[6,2,5,7,4,8,3,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[1,4,2,7,8,3,6,5]=>[5,6,3,8,7,2,4,1]=>[5,3,8,2,1,6,4,7]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[1,2,3,7,8,5,6,4]=>[4,6,5,8,7,3,2,1]=>[6,4,3,2,1,8,5,7]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[1,4,2,7,3,8,6,5]=>[5,6,8,3,7,2,4,1]=>[5,3,8,2,6,1,4,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[2,1,7,8,3,4,6,5]=>[5,6,4,3,8,7,1,2]=>[5,8,4,1,6,3,2,7]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[10,1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1,10]=>[9,10,8,7,6,5,4,3,2,1]=>[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.]
[10,9,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,9,10]=>[8,9,10,7,6,5,4,3,2,1]=>[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.]
[11,1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,11,9,8,7,6,5,4,3,2,1]=>[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.]
[10,1,2,3,4,5,6,7,8,11,9]=>[9,11,8,7,6,5,4,3,2,1,10]=>[9,11,8,7,6,5,4,3,2,1,10]=>[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],[.,.]]
[4,7,8,5,6,2,1,3]=>[3,1,2,6,5,8,7,4]=>[6,3,1,5,2,4,8,7]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[5,7,8,4,2,6,1,3]=>[3,1,6,2,4,8,7,5]=>[8,3,1,2,6,4,7,5]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[6,7,8,4,2,5,1,3]=>[3,1,5,2,4,8,7,6]=>[8,3,1,2,5,4,7,6]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[8,6,3,7,2,1,5,4]=>[4,5,1,2,7,3,6,8]=>[1,4,5,2,7,8,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[7,6,3,8,2,1,5,4]=>[4,5,1,2,8,3,6,7]=>[1,4,5,2,6,8,3,7]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,7,8,3,2,1,5,4]=>[4,5,1,2,3,8,7,6]=>[8,4,1,2,5,7,3,6]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]
[5,7,8,3,2,1,6,4]=>[4,6,1,2,3,8,7,5]=>[8,4,1,2,6,7,3,5]=>[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]
[2,7,8,4,3,5,6,1]=>[1,6,5,3,4,8,7,2]=>[6,5,1,3,8,4,2,7]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[3,7,8,4,2,5,1,6]=>[6,1,5,2,4,8,7,3]=>[6,5,1,2,8,4,7,3]=>[[[.,.],.],[.,[[[.,.],[.,.]],.]]]
[4,7,8,3,2,1,5,6]=>[6,5,1,2,3,8,7,4]=>[6,5,1,2,3,8,7,4]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[5,7,8,3,2,1,4,6]=>[6,4,1,2,3,8,7,5]=>[6,4,1,2,3,8,7,5]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[7,6,3,8,2,1,4,5]=>[5,4,1,2,8,3,6,7]=>[1,2,5,4,6,8,7,3]=>[.,[.,[[[.,.],[.,[[.,.],.]]],.]]]
[8,6,3,7,2,1,4,5]=>[5,4,1,2,7,3,6,8]=>[1,2,5,4,7,8,6,3]=>[.,[.,[[[.,.],[[.,[.,.]],.]],.]]]
[5,6,3,8,2,1,4,7]=>[7,4,1,2,8,3,6,5]=>[7,1,4,2,3,8,6,5]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]
[3,6,4,8,2,5,1,7]=>[7,1,5,2,8,4,6,3]=>[7,1,5,2,8,4,6,3]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]
[2,6,4,8,3,5,7,1]=>[1,7,5,3,8,4,6,2]=>[7,1,5,3,8,4,2,6]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[2,6,4,7,3,5,8,1]=>[1,8,5,3,7,4,6,2]=>[8,1,5,3,7,4,2,6]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[3,6,4,7,2,5,1,8]=>[8,1,5,2,7,4,6,3]=>[8,1,5,2,7,4,6,3]=>[[.,.],[[.,.],[[[.,.],[.,.]],.]]]
[4,6,3,7,2,1,5,8]=>[8,5,1,2,7,3,6,4]=>[8,1,5,2,3,7,6,4]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]
[5,6,3,7,2,1,4,8]=>[8,4,1,2,7,3,6,5]=>[8,1,4,2,3,7,6,5]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]
[8,4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4,8]=>[1,2,5,7,8,3,6,4]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[6,4,3,2,1,7,5,8]=>[8,5,7,1,2,3,4,6]=>[1,2,3,5,8,4,7,6]=>[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]
[4,5,3,2,7,1,6,8]=>[8,6,1,7,2,3,5,4]=>[8,1,2,6,3,7,5,4]=>[[.,.],[.,[[.,.],[[[.,.],.],.]]]]
[3,5,4,2,8,6,1,7]=>[7,1,6,8,2,4,5,3]=>[7,1,6,8,2,4,5,3]=>[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]
[6,4,3,2,1,8,5,7]=>[7,5,8,1,2,3,4,6]=>[1,2,3,7,8,5,6,4]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[7,4,3,2,1,8,5,6]=>[6,5,8,1,2,3,4,7]=>[1,2,3,6,8,5,7,4]=>[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]
[8,4,3,2,1,7,5,6]=>[6,5,7,1,2,3,4,8]=>[1,2,6,7,8,3,5,4]=>[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]
[8,4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4,8]=>[1,5,6,7,8,2,3,4]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,4,3,2,1,8,6,5]=>[5,6,8,1,2,3,4,7]=>[1,2,5,6,8,3,4,7]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,3,2,1,8,7,5]=>[5,7,8,1,2,3,4,6]=>[1,2,5,7,8,3,4,6]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,3,8,2,1,7,4]=>[4,7,1,2,8,3,6,5]=>[7,1,4,2,6,8,3,5]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[7,5,3,2,8,1,6,4]=>[4,6,1,8,2,3,5,7]=>[1,2,4,6,3,8,5,7]=>[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]
[8,5,4,2,7,6,1,3]=>[3,1,6,7,2,4,5,8]=>[1,3,6,7,2,4,8,5]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[7,5,4,2,8,6,1,3]=>[3,1,6,8,2,4,5,7]=>[1,3,4,6,2,5,8,7]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[6,5,4,2,8,7,1,3]=>[3,1,7,8,2,4,5,6]=>[1,3,4,7,2,5,8,6]=>[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]
[4,6,5,8,7,2,1,3]=>[3,1,2,7,8,5,6,4]=>[7,3,5,1,2,4,8,6]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[2,6,5,7,8,3,4,1]=>[1,4,3,8,7,5,6,2]=>[8,1,4,3,2,7,5,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[6,5,4,2,7,8,1,3]=>[3,1,8,7,2,4,5,6]=>[1,3,4,8,5,2,7,6]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]
[8,5,4,2,6,7,1,3]=>[3,1,7,6,2,4,5,8]=>[1,3,4,7,6,2,8,5]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]
[8,5,3,2,6,1,7,4]=>[4,7,1,6,2,3,5,8]=>[1,2,4,7,6,8,3,5]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[7,5,3,2,6,1,8,4]=>[4,8,1,6,2,3,5,7]=>[1,2,4,8,6,7,3,5]=>[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]
[5,6,3,7,2,1,8,4]=>[4,8,1,2,7,3,6,5]=>[8,1,7,2,4,6,3,5]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[4,6,3,7,2,1,8,5]=>[5,8,1,2,7,3,6,4]=>[8,1,7,2,5,6,3,4]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[3,6,4,7,2,8,1,5]=>[5,1,8,2,7,4,6,3]=>[8,1,5,2,4,3,7,6]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[2,6,4,7,3,8,5,1]=>[1,5,8,3,7,4,6,2]=>[8,1,5,3,7,2,4,6]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[3,5,4,2,7,8,1,6]=>[6,1,8,7,2,4,5,3]=>[8,1,2,6,4,3,7,5]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]
[4,5,3,2,7,1,8,6]=>[6,8,1,7,2,3,5,4]=>[8,1,2,6,5,7,3,4]=>[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]
[7,4,3,2,1,6,8,5]=>[5,8,6,1,2,3,4,7]=>[1,2,5,6,8,7,3,4]=>[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]
[8,4,3,2,1,6,7,5]=>[5,7,6,1,2,3,4,8]=>[1,2,5,7,8,6,3,4]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]
[8,4,3,2,1,5,7,6]=>[6,7,5,1,2,3,4,8]=>[1,2,6,7,8,5,3,4]=>[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]
[7,4,3,2,1,5,8,6]=>[6,8,5,1,2,3,4,7]=>[1,2,3,6,8,5,4,7]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[6,4,3,2,1,5,8,7]=>[7,8,5,1,2,3,4,6]=>[1,2,3,7,8,5,4,6]=>[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]
[3,5,4,2,6,8,1,7]=>[7,1,8,6,2,4,5,3]=>[7,1,2,6,4,3,8,5]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]
[5,6,3,4,1,2,8,7]=>[7,8,2,1,4,3,6,5]=>[2,1,7,4,8,6,3,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5,8]=>[1,3,2,6,7,4,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]=>[1,3,2,4,6,5,8,7]=>[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]
[2,1,7,8,5,6,3,4]=>[4,3,6,5,8,7,1,2]=>[4,6,3,1,5,2,8,7]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[5,7,3,8,1,6,2,4]=>[4,2,6,1,8,3,7,5]=>[4,2,6,1,8,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,2,5,8,4,6,1,7]=>[7,1,6,4,8,5,2,3]=>[7,8,4,1,6,2,5,3]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[3,5,2,4,1,7,6,8]=>[8,6,7,1,4,2,5,3]=>[6,1,8,4,7,2,5,3]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[4,2,5,3,8,1,6,7]=>[7,6,1,8,3,5,2,4]=>[7,8,1,3,2,6,5,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[4,1,5,8,3,2,6,7]=>[7,6,2,3,8,5,1,4]=>[7,8,2,1,3,6,5,4]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[4,3,8,5,2,1,6,7]=>[7,6,1,2,5,8,3,4]=>[7,8,1,2,3,6,5,4]=>[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]
[4,7,3,5,2,1,6,8]=>[8,6,1,2,5,3,7,4]=>[6,1,8,2,3,7,5,4]=>[[.,.],[[.,.],[.,[[[.,.],.],.]]]]
[4,3,2,7,5,1,6,8]=>[8,6,1,5,7,2,3,4]=>[1,6,8,2,3,7,5,4]=>[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]
[4,5,1,7,3,2,6,8]=>[8,6,2,3,7,1,5,4]=>[6,2,8,1,3,7,5,4]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[5,2,1,4,3,7,8,6]=>[6,8,7,3,4,1,2,5]=>[3,6,8,4,7,5,1,2]=>[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]
[5,3,1,4,2,7,6,8]=>[8,6,7,2,4,1,3,5]=>[2,6,8,4,7,1,5,3]=>[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]
[4,3,1,5,7,2,6,8]=>[8,6,2,7,5,1,3,4]=>[2,6,8,3,1,7,5,4]=>[[.,[[.,[.,.]],.]],[[[.,.],.],.]]
[4,6,3,1,5,2,7,8]=>[8,7,2,5,1,3,6,4]=>[2,1,5,8,3,7,6,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]
[6,2,4,1,3,7,8,5]=>[5,8,7,3,1,4,2,6]=>[3,5,4,8,7,6,1,2]=>[[.,[[.,.],[[[.,.],.],.]]],[.,.]]
[4,5,2,7,3,1,6,8]=>[8,6,1,3,7,2,5,4]=>[6,3,8,1,2,7,5,4]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[4,6,2,1,7,3,5,8]=>[8,5,3,7,1,2,6,4]=>[5,1,3,8,2,7,6,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]
[3,7,2,4,8,5,1,6]=>[6,1,5,8,4,2,7,3]=>[6,5,8,7,1,2,4,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[7,3,1,4,6,8,2,5]=>[5,2,8,6,4,1,3,7]=>[5,6,8,7,2,1,4,3]=>[[[.,[.,[[.,.],.]]],.],[[.,.],.]]
[3,2,6,1,5,7,4,8]=>[8,4,7,5,1,6,2,3]=>[4,5,1,8,7,2,6,3]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[6,3,2,1,5,7,4,8]=>[8,4,7,5,1,2,3,6]=>[1,4,5,8,7,2,6,3]=>[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]
[4,2,6,1,5,3,7,8]=>[8,7,3,5,1,6,2,4]=>[3,5,1,8,2,7,6,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[4,2,1,7,5,3,6,8]=>[8,6,3,5,7,1,2,4]=>[3,6,8,1,2,7,5,4]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]
[7,2,1,5,3,6,8,4]=>[4,8,6,3,5,1,2,7]=>[4,6,8,3,7,5,1,2]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[6,2,5,1,3,7,8,4]=>[4,8,7,3,1,5,2,6]=>[4,5,3,8,7,6,1,2]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]
[6,3,5,1,2,7,4,8]=>[8,4,7,2,1,5,3,6]=>[4,5,2,8,7,1,6,3]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[6,4,5,1,7,2,3,8]=>[8,3,2,7,1,5,4,6]=>[3,5,2,8,1,7,6,4]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[5,2,6,4,1,3,7,8]=>[8,7,3,1,4,6,2,5]=>[3,4,1,2,8,7,6,5]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]
[6,5,2,1,4,7,8,3]=>[3,8,7,4,1,2,5,6]=>[3,4,5,8,7,6,1,2]=>[[.,[.,[.,[[[.,.],.],.]]]],[.,.]]
[2,3,1,8,5,4,7,6]=>[6,7,4,5,8,1,3,2]=>[6,4,7,3,5,8,1,2]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[2,4,1,5,8,3,7,6]=>[6,7,3,8,5,1,4,2]=>[6,5,7,3,1,4,2,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[2,4,1,5,3,8,7,6]=>[6,7,8,3,5,1,4,2]=>[6,5,7,3,4,1,2,8]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[3,4,5,1,2,8,7,6]=>[6,7,8,2,1,5,4,3]=>[6,5,2,7,4,1,3,8]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[2,4,8,5,3,1,7,6]=>[6,7,1,3,5,8,4,2]=>[6,5,1,3,7,8,2,4]=>[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]
[3,4,5,8,2,1,7,6]=>[6,7,1,2,8,5,4,3]=>[6,5,4,1,7,8,2,3]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[3,4,5,2,8,1,7,6]=>[6,7,1,8,2,5,4,3]=>[6,5,4,7,1,8,2,3]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[3,4,6,2,1,7,5,8]=>[8,5,7,1,2,6,4,3]=>[8,7,1,5,6,2,4,3]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[3,5,6,2,7,1,4,8]=>[8,4,1,7,2,6,5,3]=>[8,7,1,4,2,6,5,3]=>[[[.,.],.],[[.,.],[[[.,.],.],.]]]
[3,5,6,2,7,1,8,4]=>[4,8,1,7,2,6,5,3]=>[8,7,1,6,4,5,2,3]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[3,4,6,2,8,7,1,5]=>[5,1,7,8,2,6,4,3]=>[7,5,4,6,1,2,8,3]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[3,4,6,8,2,7,1,5]=>[5,1,7,2,8,6,4,3]=>[7,5,4,1,6,2,8,3]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[2,4,8,6,3,7,1,5]=>[5,1,7,3,6,8,4,2]=>[7,5,1,3,6,2,8,4]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[3,4,6,8,2,7,5,1]=>[1,5,7,2,8,6,4,3]=>[7,5,4,1,6,2,3,8]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[3,5,6,2,7,4,1,8]=>[8,1,4,7,2,6,5,3]=>[8,7,4,6,1,2,5,3]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[4,5,6,7,2,8,3,1]=>[1,3,8,2,7,6,5,4]=>[8,7,6,3,5,1,2,4]=>[[[[[.,.],.],.],[.,.]],[.,[.,.]]]
[2,5,8,6,7,3,4,1]=>[1,4,3,7,6,8,5,2]=>[7,4,1,3,2,6,5,8]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[1,8,5,6,7,3,4,2]=>[2,4,3,7,6,5,8,1]=>[7,2,4,3,1,6,5,8]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[2,5,8,6,7,3,1,4]=>[4,1,3,7,6,8,5,2]=>[7,4,1,3,2,6,8,5]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]
[3,5,6,8,7,2,1,4]=>[4,1,2,7,8,6,5,3]=>[7,6,4,1,2,5,8,3]=>[[[[.,.],.],.],[.,[[.,[.,.]],.]]]
[4,5,6,7,2,1,8,3]=>[3,8,1,2,7,6,5,4]=>[8,7,6,1,3,5,2,4]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[3,4,6,1,8,7,2,5]=>[5,2,7,8,1,6,4,3]=>[7,5,2,6,1,4,8,3]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]
[2,3,1,8,6,7,4,5]=>[5,4,7,6,8,1,3,2]=>[5,4,7,3,6,1,8,2]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[2,5,1,6,7,4,3,8]=>[8,3,4,7,6,1,5,2]=>[8,3,7,6,1,4,5,2]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[3,5,6,1,7,4,2,8]=>[8,2,4,7,1,6,5,3]=>[8,7,2,6,1,4,5,3]=>[[[[.,.],.],[.,.]],[[.,[.,.]],.]]
[3,5,6,1,7,4,8,2]=>[2,8,4,7,1,6,5,3]=>[8,7,2,6,1,4,3,5]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[1,8,5,6,7,2,4,3]=>[3,4,2,7,6,5,8,1]=>[7,3,4,2,1,6,5,8]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[4,5,6,7,8,1,3,2]=>[2,3,1,8,7,6,5,4]=>[8,7,6,2,1,5,3,4]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[5,8,2,4,3,7,1,6]=>[6,1,7,3,4,2,8,5]=>[6,1,7,3,4,2,8,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[4,2,5,6,1,7,3,8]=>[8,3,7,1,6,5,2,4]=>[1,8,7,3,6,2,5,4]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[6,1,5,7,3,2,4,8]=>[8,4,2,3,7,5,1,6]=>[2,8,4,3,5,7,6,1]=>[[.,[[[.,.],.],[.,[[.,.],.]]]],.]
[3,8,2,4,7,1,5,6]=>[6,5,1,7,4,2,8,3]=>[6,1,7,5,2,8,4,3]=>[[.,.],[[[.,.],.],[[[.,.],.],.]]]
[3,6,8,2,4,7,1,5]=>[5,1,7,4,2,8,6,3]=>[5,4,1,7,6,2,8,3]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[4,3,5,6,7,1,8,2]=>[2,8,1,7,6,5,3,4]=>[2,8,7,6,3,5,1,4]=>[[.,[[[[.,.],.],.],[.,.]]],[.,.]]
[3,7,1,5,6,8,2,4]=>[4,2,8,6,5,1,7,3]=>[4,2,8,6,5,1,7,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]
[8,3,2,4,6,1,5,7]=>[7,5,1,6,4,2,3,8]=>[1,5,7,6,2,8,4,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[7,3,2,4,6,1,5,8]=>[8,5,1,6,4,2,3,7]=>[1,5,8,6,2,7,4,3]=>[.,[[.,[[.,.],.]],[[[.,.],.],.]]]
[3,2,5,1,7,4,6,8]=>[8,6,4,7,1,5,2,3]=>[1,6,4,8,2,7,5,3]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[3,2,5,1,8,4,6,7]=>[7,6,4,8,1,5,2,3]=>[1,7,4,8,2,6,5,3]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[3,2,5,1,7,8,4,6]=>[6,4,8,7,1,5,2,3]=>[1,8,6,7,4,2,5,3]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[7,8,3,2,4,6,1,5]=>[5,1,6,4,2,3,8,7]=>[5,1,2,6,4,3,8,7]=>[[.,.],[.,[[[.,.],.],[[.,.],.]]]]
[6,1,5,7,8,3,2,4]=>[4,2,3,8,7,5,1,6]=>[2,8,4,3,1,5,7,6]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[5,7,6,1,8,3,4,2]=>[2,4,3,8,1,6,7,5]=>[4,2,3,8,1,6,5,7]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[6,1,5,8,7,3,2,4]=>[4,2,3,7,8,5,1,6]=>[4,7,2,1,3,5,8,6]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[3,2,5,1,8,7,4,6]=>[6,4,7,8,1,5,2,3]=>[6,7,4,8,1,2,5,3]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[3,2,5,1,6,4,7,8]=>[8,7,4,6,1,5,2,3]=>[1,8,4,7,2,6,5,3]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[3,2,4,1,8,7,5,6]=>[6,5,7,8,1,4,2,3]=>[6,7,5,8,1,2,4,3]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[3,7,6,5,1,8,4,2]=>[2,4,8,1,5,6,7,3]=>[8,2,4,5,6,1,3,7]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[6,5,1,7,8,4,2,3]=>[3,2,4,8,7,1,5,6]=>[3,4,8,2,1,5,7,6]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]
[3,2,5,1,6,7,8,4]=>[4,8,7,6,1,5,2,3]=>[1,8,4,7,6,5,2,3]=>[.,[[[.,.],[[[.,.],.],.]],[.,.]]]
[3,2,4,1,8,5,6,7]=>[7,6,5,8,1,4,2,3]=>[1,7,6,8,2,5,4,3]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[3,2,4,1,7,5,6,8]=>[8,6,5,7,1,4,2,3]=>[1,8,6,7,2,5,4,3]=>[.,[[[.,.],[.,.]],[[[.,.],.],.]]]
[3,2,4,1,8,5,7,6]=>[6,7,5,8,1,4,2,3]=>[6,7,5,8,1,4,2,3]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[8,3,2,4,7,6,1,5]=>[5,1,6,7,4,2,3,8]=>[5,6,7,4,1,2,8,3]=>[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]
[3,2,5,1,8,4,7,6]=>[6,7,4,8,1,5,2,3]=>[6,7,4,8,1,5,2,3]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[3,2,5,1,6,7,4,8]=>[8,4,7,6,1,5,2,3]=>[1,8,4,7,6,2,5,3]=>[.,[[[.,.],[[.,.],.]],[[.,.],.]]]
[6,5,1,7,4,2,3,8]=>[8,3,2,4,7,1,5,6]=>[3,4,8,2,5,7,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[6,5,1,8,4,2,3,7]=>[7,3,2,4,8,1,5,6]=>[3,7,8,4,5,6,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[4,2,6,1,8,3,7,5]=>[5,7,3,8,1,6,2,4]=>[5,7,3,8,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[5,2,6,1,8,3,7,4]=>[4,7,3,8,1,6,2,5]=>[4,7,3,8,1,6,2,5]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[8,4,6,1,7,3,5,2]=>[2,5,3,7,1,6,4,8]=>[2,5,3,7,1,6,4,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[5,2,6,1,8,4,7,3]=>[3,7,4,8,1,6,2,5]=>[3,7,4,8,1,6,2,5]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[8,5,1,6,4,2,3,7]=>[7,3,2,4,6,1,5,8]=>[3,4,7,2,6,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[8,6,1,5,7,3,2,4]=>[4,2,3,7,5,1,6,8]=>[2,4,5,3,1,7,8,6]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]
[4,2,6,1,8,5,7,3]=>[3,7,5,8,1,6,2,4]=>[3,7,5,8,1,6,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[3,6,8,5,1,7,4,2]=>[2,4,7,1,5,8,6,3]=>[7,2,1,4,8,3,5,6]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[8,5,1,6,7,4,2,3]=>[3,2,4,7,6,1,5,8]=>[3,4,7,2,1,6,8,5]=>[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]
[3,2,5,1,8,6,7,4]=>[4,7,6,8,1,5,2,3]=>[4,7,6,8,1,5,2,3]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[3,2,4,1,8,6,5,7]=>[7,5,6,8,1,4,2,3]=>[5,7,6,8,1,2,4,3]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[3,2,4,1,5,8,6,7]=>[7,6,8,5,1,4,2,3]=>[1,7,6,8,5,2,4,3]=>[.,[[[[.,.],[.,.]],.],[[.,.],.]]]
[3,2,5,1,7,8,6,4]=>[4,6,8,7,1,5,2,3]=>[4,8,6,7,5,1,2,3]=>[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]
[3,8,5,1,7,6,4,2]=>[2,4,6,7,1,5,8,3]=>[6,2,4,5,1,3,7,8]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[3,7,5,1,8,6,4,2]=>[2,4,6,8,1,5,7,3]=>[6,2,4,8,1,3,5,7]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,5,1,8,7,6,4]=>[4,6,7,8,1,5,2,3]=>[4,6,5,7,1,2,3,8]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[6,5,7,3,1,8,4,2]=>[2,4,8,1,3,7,5,6]=>[2,8,4,5,7,1,3,6]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[4,6,3,7,1,8,5,2]=>[2,5,8,1,7,3,6,4]=>[8,2,7,5,6,1,3,4]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[2,5,7,4,1,6,8,3]=>[3,8,6,1,4,7,5,2]=>[8,3,1,6,7,4,2,5]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[5,4,7,3,6,1,8,2]=>[2,8,1,6,3,7,4,5]=>[2,3,1,8,6,7,4,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[5,4,7,8,3,1,6,2]=>[2,6,1,3,8,7,4,5]=>[2,8,3,1,6,7,4,5]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[4,3,7,5,1,8,6,2]=>[2,6,8,1,5,7,3,4]=>[6,8,2,5,7,1,3,4]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[6,4,3,8,5,1,7,2]=>[2,7,1,5,8,3,4,6]=>[2,3,7,1,5,8,4,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[5,4,8,3,6,1,7,2]=>[2,7,1,6,3,8,4,5]=>[2,3,1,7,6,8,4,5]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[5,4,3,6,7,1,8,2]=>[2,8,1,7,6,3,4,5]=>[2,3,8,7,4,6,1,5]=>[[.,[.,[[[.,.],.],[.,.]]]],[.,.]]
[2,5,4,6,1,7,3,8]=>[8,3,7,1,6,4,5,2]=>[8,3,7,4,6,1,5,2]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[5,2,8,4,1,6,7,3]=>[3,7,6,1,4,8,2,5]=>[3,7,1,6,8,4,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[4,6,2,1,8,5,7,3]=>[3,7,5,8,1,2,6,4]=>[7,3,5,8,1,6,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[2,4,1,7,5,8,6,3]=>[3,6,8,5,7,1,4,2]=>[6,5,8,3,4,1,2,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[2,6,4,1,8,5,3,7]=>[7,3,5,8,1,4,6,2]=>[7,3,5,8,1,4,6,2]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[5,4,8,2,1,6,3,7]=>[7,3,6,1,2,8,4,5]=>[1,3,2,7,8,4,6,5]=>[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]
[2,5,8,4,1,6,3,7]=>[7,3,6,1,4,8,5,2]=>[7,3,1,6,8,4,5,2]=>[[[.,.],.],[[[.,[.,.]],[.,.]],.]]
[3,2,5,6,1,8,4,7]=>[7,4,8,1,6,5,2,3]=>[1,7,6,4,8,2,5,3]=>[.,[[[[.,.],.],[.,.]],[[.,.],.]]]
[4,8,3,2,6,1,5,7]=>[7,5,1,6,2,3,8,4]=>[5,1,2,7,3,8,6,4]=>[[.,.],[.,[[.,.],[[[.,.],.],.]]]]
[3,2,7,1,5,4,8,6]=>[6,8,4,5,1,7,2,3]=>[4,6,1,8,5,7,2,3]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[3,2,7,1,5,8,6,4]=>[4,6,8,5,1,7,2,3]=>[4,6,5,8,7,1,2,3]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]
[4,3,8,2,6,7,1,5]=>[5,1,7,6,2,8,3,4]=>[1,5,2,7,6,3,8,4]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]
[4,3,2,6,7,8,1,5]=>[5,1,8,7,6,2,3,4]=>[1,2,8,7,5,3,6,4]=>[.,[.,[[[[.,.],.],.],[[.,.],.]]]]
[4,3,2,6,7,1,5,8]=>[8,5,1,7,6,2,3,4]=>[1,2,8,5,3,7,6,4]=>[.,[.,[[[.,.],.],[[[.,.],.],.]]]]
[4,3,7,2,6,8,1,5]=>[5,1,8,6,2,7,3,4]=>[1,5,2,8,6,3,7,4]=>[.,[[.,.],[[[.,.],.],[[.,.],.]]]]
[4,3,7,8,2,6,1,5]=>[5,1,6,2,8,7,3,4]=>[1,8,5,2,6,3,7,4]=>[.,[[[.,.],.],[[.,.],[[.,.],.]]]]
[3,2,5,7,1,6,8,4]=>[4,8,6,1,7,5,2,3]=>[4,8,6,1,7,5,2,3]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[3,2,5,7,1,6,4,8]=>[8,4,6,1,7,5,2,3]=>[4,8,6,1,7,2,5,3]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[6,3,2,7,1,5,4,8]=>[8,4,5,1,7,2,3,6]=>[1,4,5,2,8,3,7,6]=>[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]
[6,3,2,7,1,5,8,4]=>[4,8,5,1,7,2,3,6]=>[1,4,5,2,8,7,3,6]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[6,3,2,7,8,1,5,4]=>[4,5,1,8,7,2,3,6]=>[1,4,8,5,2,7,3,6]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,2,6,1,7,8,5,3]=>[3,5,8,7,1,6,2,4]=>[3,8,5,7,6,1,2,4]=>[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]
[6,5,2,1,7,8,4,3]=>[3,4,8,7,1,2,5,6]=>[3,4,5,8,7,1,2,6]=>[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]
[2,1,7,5,3,8,6,4]=>[4,6,8,3,5,7,1,2]=>[4,6,3,5,8,1,2,7]=>[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]
[6,2,1,8,5,3,7,4]=>[4,7,3,5,8,1,2,6]=>[4,7,8,3,5,6,1,2]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]
[6,3,2,7,1,4,8,5]=>[5,8,4,1,7,2,3,6]=>[1,2,5,4,8,7,3,6]=>[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]
[6,3,2,1,4,7,8,5]=>[5,8,7,4,1,2,3,6]=>[1,2,5,8,7,4,3,6]=>[.,[.,[[[.,[[.,.],.]],.],[.,.]]]]
[3,5,2,1,7,4,6,8]=>[8,6,4,7,1,2,5,3]=>[6,1,4,8,2,7,5,3]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]
[4,6,2,1,8,3,7,5]=>[5,7,3,8,1,2,6,4]=>[5,3,7,8,1,6,2,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[2,4,1,7,3,8,6,5]=>[5,6,8,3,7,1,4,2]=>[8,5,6,3,4,1,2,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[3,5,8,2,1,7,4,6]=>[6,4,7,1,2,8,5,3]=>[6,4,1,7,8,2,5,3]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[4,3,7,2,8,1,5,6]=>[6,5,1,8,2,7,3,4]=>[1,6,2,5,3,8,7,4]=>[.,[[.,.],[[.,.],[[[.,.],.],.]]]]
[4,8,3,2,7,1,5,6]=>[6,5,1,7,2,3,8,4]=>[6,1,2,7,3,8,5,4]=>[[.,.],[.,[[.,.],[[[.,.],.],.]]]]
[3,5,2,8,1,7,4,6]=>[6,4,7,1,8,2,5,3]=>[6,4,7,1,8,2,5,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[6,3,2,8,1,4,7,5]=>[5,7,4,1,8,2,3,6]=>[1,5,7,2,8,4,3,6]=>[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]
[3,2,1,4,7,5,8,6]=>[6,8,5,7,4,1,2,3]=>[1,6,8,5,4,7,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]
[4,8,3,2,1,5,6,7]=>[7,6,5,1,2,3,8,4]=>[7,1,2,3,8,6,5,4]=>[[.,.],[.,[.,[[[[.,.],.],.],.]]]]
[4,3,8,2,1,5,6,7]=>[7,6,5,1,2,8,3,4]=>[1,7,2,3,8,6,5,4]=>[.,[[.,.],[.,[[[[.,.],.],.],.]]]]
[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>[2,1,3,4,5,6,7,8,9]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,4,5,3,2,1,9]=>[9,1,2,3,5,4,6,7,8]=>[1,2,3,9,5,6,7,8,4]=>[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]]
[1,9,8,7,5,6,4,3,2]=>[2,3,4,6,5,7,8,9,1]=>[6,2,3,4,5,1,7,8,9]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>[2,1,3,4,5,6,7,8,9,10]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[10,9,8,7,6,5,4,3,2,1,11]=>[11,1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]]
[1,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,1]=>[2,1,3,4,5,6,7,8,9,10,11]=>[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,2,3,1,5,4,8,7]=>[7,8,4,5,1,3,2,6]=>[4,7,5,8,3,6,1,2]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[8,4,5,2,3,1,7,6]=>[6,7,1,3,2,5,4,8]=>[1,6,3,7,5,8,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,2,5,3,4,1,7,6]=>[6,7,1,4,3,5,2,8]=>[1,6,4,7,3,8,2,5]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[6,4,5,1,3,2,8,7]=>[7,8,2,3,1,5,4,6]=>[2,7,3,8,5,6,1,4]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[6,1,5,3,4,2,8,7]=>[7,8,2,4,3,5,1,6]=>[2,7,4,5,3,8,1,6]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[6,3,5,1,4,2,8,7]=>[7,8,2,4,1,5,3,6]=>[2,7,4,8,5,6,1,3]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[8,3,5,2,4,1,7,6]=>[6,7,1,4,2,5,3,8]=>[1,6,4,7,5,8,2,3]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,3,7,5,6,2,4,1]=>[1,4,2,6,5,7,3,8]=>[1,6,4,5,2,7,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,3,7,2,4,1,6,5]=>[5,6,1,4,2,7,3,8]=>[5,6,1,7,4,8,2,3]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[8,3,5,1,4,2,7,6]=>[6,7,2,4,1,5,3,8]=>[2,6,4,7,5,8,1,3]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[8,4,5,1,3,2,7,6]=>[6,7,2,3,1,5,4,8]=>[2,6,3,7,5,8,1,4]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[8,6,7,4,5,1,3,2]=>[2,3,1,5,4,7,6,8]=>[2,3,1,5,4,7,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[8,6,7,3,5,1,4,2]=>[2,4,1,5,3,7,6,8]=>[2,4,1,5,3,7,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[8,5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5,8]=>[2,4,1,6,3,7,5,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[8,3,7,4,6,2,5,1]=>[1,5,2,6,4,7,3,8]=>[1,5,4,6,2,7,3,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,3,7,4,6,1,5,2]=>[2,5,1,6,4,7,3,8]=>[2,5,4,6,1,7,3,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[8,3,7,1,6,4,5,2]=>[2,5,4,6,1,7,3,8]=>[2,5,1,6,4,7,3,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[8,1,7,3,6,4,5,2]=>[2,5,4,6,3,7,1,8]=>[2,5,4,6,3,7,1,8]=>[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]
[8,1,7,5,6,3,4,2]=>[2,4,3,6,5,7,1,8]=>[2,4,3,6,1,7,5,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[2,1,8,4,7,5,6,3]=>[3,6,5,7,4,8,1,2]=>[3,6,1,5,4,7,2,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[8,1,7,3,4,2,6,5]=>[5,6,2,4,3,7,1,8]=>[5,6,4,7,2,8,1,3]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[8,1,7,3,6,2,5,4]=>[4,5,2,6,3,7,1,8]=>[4,5,2,6,1,7,3,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[8,3,7,1,6,2,5,4]=>[4,5,2,6,1,7,3,8]=>[4,5,2,6,3,7,1,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[8,3,7,2,6,4,5,1]=>[1,5,4,6,2,7,3,8]=>[1,5,2,6,4,7,3,8]=>[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]
[8,2,7,3,6,4,5,1]=>[1,5,4,6,3,7,2,8]=>[1,5,4,6,3,7,2,8]=>[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]
[8,2,7,3,6,1,5,4]=>[4,5,1,6,3,7,2,8]=>[4,5,3,6,1,7,2,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[8,2,7,1,6,3,5,4]=>[4,5,3,6,1,7,2,8]=>[4,5,1,6,3,7,2,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[8,1,7,2,4,3,6,5]=>[5,6,3,4,2,7,1,8]=>[5,6,3,7,2,8,1,4]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[8,1,3,2,7,4,6,5]=>[5,6,4,7,2,3,1,8]=>[5,6,4,7,2,3,1,8]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[8,2,7,1,4,3,6,5]=>[5,6,3,4,1,7,2,8]=>[5,6,3,7,4,8,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[8,2,7,3,4,1,6,5]=>[5,6,1,4,3,7,2,8]=>[5,6,4,7,3,8,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[8,2,7,5,6,3,4,1]=>[1,4,3,6,5,7,2,8]=>[1,4,3,6,2,7,5,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,4,7,5,6,2,3,1]=>[1,3,2,6,5,7,4,8]=>[1,6,3,5,2,7,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,4,7,2,3,1,6,5]=>[5,6,1,3,2,7,4,8]=>[5,6,1,7,3,8,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[8,2,3,1,5,4,7,6]=>[6,7,4,5,1,3,2,8]=>[6,7,4,8,3,5,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[4,2,3,1,8,5,7,6]=>[6,7,5,8,1,3,2,4]=>[6,7,5,8,1,3,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[4,1,3,2,8,6,7,5]=>[5,7,6,8,2,3,1,4]=>[5,7,6,8,2,3,1,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[8,6,7,2,3,1,5,4]=>[4,5,1,3,2,7,6,8]=>[4,5,1,7,3,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[8,2,3,1,7,5,6,4]=>[4,6,5,7,1,3,2,8]=>[4,6,5,7,1,3,2,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[8,5,7,2,6,3,4,1]=>[1,4,3,6,2,7,5,8]=>[1,4,3,6,5,7,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,5,7,2,6,1,4,3]=>[3,4,1,6,2,7,5,8]=>[3,4,1,6,2,7,5,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[8,2,7,5,6,1,4,3]=>[3,4,1,6,5,7,2,8]=>[3,6,4,5,1,7,2,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[8,6,7,2,5,1,4,3]=>[3,4,1,5,2,7,6,8]=>[3,4,1,5,2,7,6,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[8,6,7,1,5,2,4,3]=>[3,4,2,5,1,7,6,8]=>[3,4,2,7,5,6,1,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[8,6,7,1,3,2,5,4]=>[4,5,2,3,1,7,6,8]=>[4,5,2,7,3,8,1,6]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[8,1,7,5,6,2,4,3]=>[3,4,2,6,5,7,1,8]=>[3,4,2,6,1,7,5,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[8,1,7,2,6,4,5,3]=>[3,5,4,6,2,7,1,8]=>[3,5,4,6,2,7,1,8]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[8,2,7,1,6,4,5,3]=>[3,5,4,6,1,7,2,8]=>[3,5,1,6,4,7,2,8]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[8,2,7,4,6,1,5,3]=>[3,5,1,6,4,7,2,8]=>[3,5,4,6,1,7,2,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[8,2,7,4,6,3,5,1]=>[1,5,3,6,4,7,2,8]=>[1,5,3,6,2,7,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,4,7,2,6,3,5,1]=>[1,5,3,6,2,7,4,8]=>[1,5,3,6,4,7,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,4,7,2,6,1,5,3]=>[3,5,1,6,2,7,4,8]=>[3,5,1,6,2,7,4,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[8,4,7,1,6,2,5,3]=>[3,5,2,6,1,7,4,8]=>[3,5,2,6,4,7,1,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[8,1,7,4,6,2,5,3]=>[3,5,2,6,4,7,1,8]=>[3,5,2,6,1,7,4,8]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[8,5,7,1,6,2,4,3]=>[3,4,2,6,1,7,5,8]=>[3,4,2,6,5,7,1,8]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[8,5,7,4,6,1,3,2]=>[2,3,1,6,4,7,5,8]=>[2,3,1,6,4,7,5,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[8,5,7,1,6,3,4,2]=>[2,4,3,6,1,7,5,8]=>[2,4,3,6,5,7,1,8]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[8,1,7,4,6,3,5,2]=>[2,5,3,6,4,7,1,8]=>[2,5,3,6,1,7,4,8]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[8,4,7,1,6,3,5,2]=>[2,5,3,6,1,7,4,8]=>[2,5,3,6,4,7,1,8]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[8,4,7,3,6,1,5,2]=>[2,5,1,6,3,7,4,8]=>[2,5,1,6,3,7,4,8]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[2,4,8,3,6,1,7,5]=>[5,7,1,6,3,8,4,2]=>[7,5,1,6,3,8,2,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[6,5,8,1,3,2,7,4]=>[4,7,2,3,1,8,5,6]=>[2,4,3,7,5,8,1,6]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[1,7,2,8,4,6,5,3]=>[3,5,6,4,8,2,7,1]=>[5,3,8,2,4,1,6,7]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[6,7,2,8,4,1,5,3]=>[3,5,1,4,8,2,7,6]=>[5,3,8,1,4,7,2,6]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[3,6,2,8,4,5,7,1]=>[1,7,5,4,8,2,6,3]=>[7,5,8,1,6,4,2,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[2,6,1,8,4,5,7,3]=>[3,7,5,4,8,1,6,2]=>[7,3,8,1,5,4,2,6]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[6,3,1,8,4,5,7,2]=>[2,7,5,4,8,1,3,6]=>[2,7,8,1,5,4,3,6]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[3,1,6,8,4,5,7,2]=>[2,7,5,4,8,6,1,3]=>[7,8,2,1,5,4,3,6]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[1,3,7,8,4,6,5,2]=>[2,5,6,4,8,7,3,1]=>[5,4,2,1,8,3,6,7]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[1,5,7,8,2,4,6,3]=>[3,6,4,2,8,7,5,1]=>[6,3,2,1,8,7,4,5]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[3,6,7,8,4,2,5,1]=>[1,5,2,4,8,7,6,3]=>[8,5,4,1,2,7,3,6]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[7,6,1,8,4,2,5,3]=>[3,5,2,4,8,1,6,7]=>[3,5,6,2,4,8,1,7]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]
[5,6,8,7,3,2,1,4]=>[4,1,2,3,7,8,6,5]=>[7,4,1,2,3,6,8,5]=>[[[.,.],.],[.,[.,[[.,[.,.]],.]]]]
[2,8,3,7,1,6,5,4]=>[4,5,6,1,7,3,8,2]=>[4,3,5,1,6,2,7,8]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[3,2,7,8,4,6,5,1]=>[1,5,6,4,8,7,2,3]=>[5,8,4,1,6,2,3,7]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[5,2,7,8,1,4,6,3]=>[3,6,4,1,8,7,2,5]=>[3,6,4,1,8,7,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[1,2,7,8,5,4,6,3]=>[3,6,4,5,8,7,2,1]=>[6,3,2,1,4,8,5,7]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[4,2,1,3,8,5,6,7]=>[7,6,5,8,3,1,2,4]=>[1,7,8,6,3,5,4,2]=>[.,[[[[.,[.,.]],.],[[.,.],.]],.]]
[7,2,5,8,3,4,6,1]=>[1,6,4,3,8,5,2,7]=>[1,6,4,3,8,5,2,7]=>[.,[[[[.,.],.],[[.,.],.]],[.,.]]]
[6,2,8,5,4,3,1,7]=>[7,1,3,4,5,8,2,6]=>[7,8,1,3,4,5,6,2]=>[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]
[2,8,3,5,4,1,6,7]=>[7,6,1,4,5,3,8,2]=>[7,1,6,4,5,8,3,2]=>[[.,.],[[[[.,.],[.,[.,.]]],.],.]]
[2,8,4,5,3,1,6,7]=>[7,6,1,3,5,4,8,2]=>[7,1,6,3,5,8,4,2]=>[[.,.],[[[.,.],[[.,[.,.]],.]],.]]
[6,4,8,5,2,3,1,7]=>[7,1,3,2,5,8,4,6]=>[3,7,1,2,8,5,6,4]=>[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]
[7,3,5,8,2,4,6,1]=>[1,6,4,2,8,5,3,7]=>[1,6,4,2,8,5,3,7]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[4,3,1,2,8,5,6,7]=>[7,6,5,8,2,1,3,4]=>[2,7,8,6,3,5,4,1]=>[[.,[[[.,[.,.]],.],[[.,.],.]]],.]
[3,4,2,1,8,5,6,7]=>[7,6,5,8,1,2,4,3]=>[7,1,6,8,2,5,4,3]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]
[2,7,6,8,4,3,5,1]=>[1,5,3,4,8,6,7,2]=>[5,1,3,2,4,8,6,7]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[5,7,1,8,3,4,6,2]=>[2,6,4,3,8,1,7,5]=>[6,4,8,2,7,3,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[3,7,5,8,1,4,6,2]=>[2,6,4,1,8,5,7,3]=>[6,2,4,1,8,5,3,7]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[1,7,5,8,3,4,6,2]=>[2,6,4,3,8,5,7,1]=>[6,2,4,3,8,5,1,7]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[1,6,8,5,4,3,2,7]=>[7,2,3,4,5,8,6,1]=>[7,2,1,3,4,5,8,6]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[7,5,8,6,3,4,2,1]=>[1,2,4,3,6,8,5,7]=>[4,6,1,2,8,3,5,7]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,4,8,3,6,5,1,7]=>[7,1,5,6,3,8,4,2]=>[7,5,1,6,3,4,8,2]=>[[[.,.],.],[[[.,.],[.,[.,.]]],.]]
[2,8,4,1,5,6,3,7]=>[7,3,6,5,1,4,8,2]=>[7,3,6,8,5,1,4,2]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]
[4,6,8,1,5,3,2,7]=>[7,2,3,5,1,8,6,4]=>[7,2,1,8,3,5,6,4]=>[[[.,.],.],[[.,.],[[.,[.,.]],.]]]
[1,6,8,4,5,3,2,7]=>[7,2,3,5,4,8,6,1]=>[7,5,2,8,3,4,6,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[1,7,3,8,5,4,6,2]=>[2,6,4,5,8,3,7,1]=>[6,4,8,2,3,5,1,7]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[3,7,1,8,5,4,6,2]=>[2,6,4,5,8,1,7,3]=>[6,2,8,1,4,5,3,7]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[2,7,3,8,4,6,5,1]=>[1,5,6,4,8,3,7,2]=>[5,4,8,1,3,2,6,7]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[7,1,3,8,4,6,5,2]=>[2,5,6,4,8,3,1,7]=>[5,8,4,2,3,1,6,7]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]
[5,7,8,4,3,6,1,2]=>[2,1,6,3,4,8,7,5]=>[8,2,1,3,6,4,7,5]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[2,8,5,4,3,1,6,7]=>[7,6,1,3,4,5,8,2]=>[7,1,3,4,6,8,5,2]=>[[.,.],[[.,[.,[[.,[.,.]],.]]],.]]
[4,1,3,2,8,5,6,7]=>[7,6,5,8,2,3,1,4]=>[2,7,6,8,3,5,4,1]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]
[7,3,2,8,5,4,6,1]=>[1,6,4,5,8,2,3,7]=>[4,6,8,1,2,5,3,7]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[2,8,4,3,5,1,6,7]=>[7,6,1,5,3,4,8,2]=>[7,1,3,6,5,8,4,2]=>[[.,.],[[.,[[[.,.],[.,.]],.]],.]]
[2,8,3,4,5,1,6,7]=>[7,6,1,5,4,3,8,2]=>[7,1,6,5,4,8,3,2]=>[[.,.],[[[[[.,.],.],[.,.]],.],.]]
[4,2,3,1,8,5,6,7]=>[7,6,5,8,1,3,2,4]=>[1,7,6,8,3,5,4,2]=>[.,[[[[.,.],[.,.]],[[.,.],.]],.]]
[3,2,1,4,8,5,6,7]=>[7,6,5,8,4,1,2,3]=>[1,7,8,6,2,5,4,3]=>[.,[[[.,[.,.]],.],[[[.,.],.],.]]]
[5,1,3,2,4,8,6,7]=>[7,6,8,4,2,3,1,5]=>[2,7,6,8,4,3,5,1]=>[[.,[[[[.,.],[.,.]],.],[.,.]]],.]
[2,8,1,5,3,4,7,6]=>[6,7,4,3,5,1,8,2]=>[6,4,7,5,8,3,1,2]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]
[8,1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1,8]=>[2,7,4,6,8,5,3,1]=>[[.,[[[.,.],[[.,[.,.]],.]],.]],.]
[3,5,1,4,8,2,6,7]=>[7,6,2,8,4,1,5,3]=>[7,2,8,4,1,6,5,3]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[1,5,2,8,4,3,6,7]=>[7,6,3,4,8,2,5,1]=>[7,6,8,3,4,5,2,1]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]
[1,2,8,5,4,3,6,7]=>[7,6,3,4,5,8,2,1]=>[7,6,3,4,5,8,2,1]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]
[1,2,4,8,5,3,7,6]=>[6,7,3,5,8,4,2,1]=>[6,5,3,2,7,8,1,4]=>[[[[[.,.],.],.],[.,[.,.]]],[.,.]]
[1,5,2,7,8,4,3,6]=>[6,3,4,8,7,2,5,1]=>[6,3,8,2,1,4,7,5]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]
[5,1,2,7,4,8,3,6]=>[6,3,8,4,7,2,1,5]=>[6,8,3,2,4,1,7,5]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[2,8,1,5,4,7,3,6]=>[6,3,7,4,5,1,8,2]=>[6,3,7,4,5,1,8,2]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[1,2,4,8,7,5,3,6]=>[6,3,5,7,8,4,2,1]=>[6,5,3,2,4,7,8,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[3,6,4,8,1,7,2,5]=>[5,2,7,1,8,4,6,3]=>[5,2,7,1,8,4,6,3]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[1,6,7,2,8,4,3,5]=>[5,3,4,8,2,7,6,1]=>[5,3,2,8,1,4,7,6]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[6,7,1,4,2,8,3,5]=>[5,3,8,2,4,1,7,6]=>[5,3,8,4,7,2,6,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[6,3,7,1,4,8,2,5]=>[5,2,8,4,1,7,3,6]=>[2,5,1,8,4,3,7,6]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[1,7,2,8,4,5,3,6]=>[6,3,5,4,8,2,7,1]=>[6,5,8,3,4,2,7,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,4,2,7,8,5,3,6]=>[6,3,5,8,7,2,4,1]=>[6,3,8,2,1,5,7,4]=>[[[[.,.],[.,.]],.],[[.,[.,.]],.]]
[6,4,1,2,8,3,7,5]=>[5,7,3,8,2,1,4,6]=>[5,7,8,3,2,4,1,6]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]
[6,7,1,3,2,4,8,5]=>[5,8,4,2,3,1,7,6]=>[5,2,8,4,7,3,1,6]=>[[[.,.],[[[.,.],[.,.]],.]],[.,.]]
[1,2,7,3,5,8,4,6]=>[6,4,8,5,3,7,2,1]=>[6,4,3,5,2,1,8,7]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]
[1,2,5,8,7,3,4,6]=>[6,4,3,7,8,5,2,1]=>[6,4,3,2,7,8,5,1]=>[[[[[.,.],.],.],[[.,[.,.]],.]],.]
[2,8,1,7,3,5,4,6]=>[6,4,5,3,7,1,8,2]=>[4,1,6,5,7,3,8,2]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]
[2,8,1,7,4,3,6,5]=>[5,6,3,4,7,1,8,2]=>[5,3,6,4,7,8,1,2]=>[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]
[1,2,8,4,7,5,3,6]=>[6,3,5,7,4,8,2,1]=>[6,5,3,4,2,7,8,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[1,2,8,7,4,5,3,6]=>[6,3,5,4,7,8,2,1]=>[6,5,3,4,7,2,8,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[8,3,7,1,5,2,4,6]=>[6,4,2,5,1,7,3,8]=>[4,6,2,7,5,8,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[8,6,1,4,2,7,3,5]=>[5,3,7,2,4,1,6,8]=>[3,5,7,4,8,2,6,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[8,1,6,2,7,4,3,5]=>[5,3,4,7,2,6,1,8]=>[3,5,4,7,2,6,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[3,7,4,8,1,6,2,5]=>[5,2,6,1,8,4,7,3]=>[5,2,6,1,8,4,7,3]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[2,8,1,7,6,4,3,5]=>[5,3,4,6,7,1,8,2]=>[3,1,5,4,6,7,8,2]=>[[.,.],[[[.,.],[.,[.,[.,.]]]],.]]
[7,8,3,4,1,5,2,6]=>[6,2,5,1,4,3,8,7]=>[2,1,6,5,8,4,7,3]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]
[7,8,3,4,1,6,2,5]=>[5,2,6,1,4,3,8,7]=>[5,2,6,4,8,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[6,8,3,4,1,7,2,5]=>[5,2,7,1,4,3,8,6]=>[5,2,7,4,8,1,6,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[6,7,3,4,1,8,2,5]=>[5,2,8,1,4,3,7,6]=>[2,1,5,4,8,3,7,6]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[5,7,3,4,1,8,2,6]=>[6,2,8,1,4,3,7,5]=>[2,1,6,4,8,3,7,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[5,8,3,4,1,7,2,6]=>[6,2,7,1,4,3,8,5]=>[6,2,7,4,8,1,5,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[5,8,3,4,1,6,2,7]=>[7,2,6,1,4,3,8,5]=>[2,1,7,6,8,4,5,3]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]
[6,8,3,4,1,5,2,7]=>[7,2,5,1,4,3,8,6]=>[2,1,7,5,8,4,6,3]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]
[6,7,3,4,1,5,2,8]=>[8,2,5,1,4,3,7,6]=>[2,1,8,5,7,4,6,3]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]
[5,7,3,4,1,6,2,8]=>[8,2,6,1,4,3,7,5]=>[2,1,8,6,7,4,5,3]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]
[5,6,2,8,3,4,1,7]=>[7,1,4,3,8,2,6,5]=>[7,4,8,1,6,3,5,2]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[5,6,2,7,3,4,1,8]=>[8,1,4,3,7,2,6,5]=>[4,3,8,1,7,2,6,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[4,6,2,8,3,5,1,7]=>[7,1,5,3,8,2,6,4]=>[7,5,8,1,6,3,4,2]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[4,7,3,5,1,6,2,8]=>[8,2,6,1,5,3,7,4]=>[2,1,8,6,7,3,5,4]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[4,8,3,5,1,6,2,7]=>[7,2,6,1,5,3,8,4]=>[2,1,7,6,8,3,5,4]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[4,8,3,5,1,7,2,6]=>[6,2,7,1,5,3,8,4]=>[6,2,7,3,8,1,5,4]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[4,7,3,5,1,8,2,6]=>[6,2,8,1,5,3,7,4]=>[2,1,6,5,8,3,7,4]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[5,6,2,3,1,7,4,8]=>[8,4,7,1,3,2,6,5]=>[4,1,8,3,7,2,6,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[5,6,2,4,1,8,3,7]=>[7,3,8,1,4,2,6,5]=>[3,1,7,4,8,2,6,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[5,6,2,4,1,7,3,8]=>[8,3,7,1,4,2,6,5]=>[3,1,8,4,7,2,6,5]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[4,6,2,5,1,7,3,8]=>[8,3,7,1,5,2,6,4]=>[3,1,8,5,7,2,6,4]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[4,6,2,5,1,8,3,7]=>[7,3,8,1,5,2,6,4]=>[3,1,7,5,8,2,6,4]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[4,5,1,8,3,7,2,6]=>[6,2,7,3,8,1,5,4]=>[6,2,7,1,5,3,8,4]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[4,5,1,7,3,8,2,6]=>[6,2,8,3,7,1,5,4]=>[8,6,7,2,3,1,5,4]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[4,6,2,7,3,8,1,5]=>[5,1,8,3,7,2,6,4]=>[8,5,7,1,3,2,6,4]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[5,6,2,7,3,8,1,4]=>[4,1,8,3,7,2,6,5]=>[8,4,7,1,3,2,6,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[5,6,2,7,4,8,1,3]=>[3,1,8,4,7,2,6,5]=>[8,3,7,1,4,2,6,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[5,6,3,8,4,7,1,2]=>[2,1,7,4,8,3,6,5]=>[7,2,8,1,4,3,6,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[5,6,2,8,4,7,1,3]=>[3,1,7,4,8,2,6,5]=>[7,3,8,1,4,2,6,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[5,6,2,8,3,7,1,4]=>[4,1,7,3,8,2,6,5]=>[4,3,7,1,6,2,8,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[4,6,2,8,3,7,1,5]=>[5,1,7,3,8,2,6,4]=>[5,3,7,1,6,2,8,4]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[4,5,1,8,3,6,2,7]=>[7,2,6,3,8,1,5,4]=>[7,2,8,1,6,3,5,4]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[4,2,3,5,6,7,8,9,1]=>[1,9,8,7,6,5,3,2,4]=>[1,9,8,7,6,5,3,2,4]=>[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]
[3,2,4,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,4,2,3]=>[1,10,9,8,7,6,5,4,2,3]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]]
[2,3,4,5,6,7,8,9,10,11,1]=>[1,11,10,9,8,7,6,5,4,3,2]=>[11,10,9,8,7,6,5,4,3,1,2]=>[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]]
[6,5,3,2,1,4,8,7]=>[7,8,4,1,2,3,5,6]=>[1,2,4,7,8,5,3,6]=>[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]
[4,6,3,5,2,1,8,7]=>[7,8,1,2,5,3,6,4]=>[7,1,8,2,5,6,3,4]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[8,7,3,5,2,4,1,6]=>[6,1,4,2,5,3,7,8]=>[1,4,6,2,7,5,8,3]=>[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]
[6,8,2,4,5,7,3,1]=>[1,3,7,5,4,2,8,6]=>[7,1,8,5,3,2,4,6]=>[[.,.],[[[[.,.],.],.],[.,[.,.]]]]
[3,6,1,4,5,2,8,7]=>[7,8,2,5,4,1,6,3]=>[7,2,8,5,4,6,1,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[8,3,7,4,5,2,1,6]=>[6,1,2,5,4,7,3,8]=>[1,6,2,5,4,7,8,3]=>[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]
[6,3,8,4,5,7,2,1]=>[1,2,7,5,4,8,3,6]=>[7,8,1,5,4,2,3,6]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[5,8,7,4,3,6,2,1]=>[1,2,6,3,4,7,8,5]=>[6,1,2,3,7,4,5,8]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[8,7,3,5,1,4,2,6]=>[6,2,4,1,5,3,7,8]=>[2,4,6,1,7,5,8,3]=>[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]
[2,1,6,8,5,7,4,3]=>[3,4,7,5,8,6,1,2]=>[7,8,3,1,4,2,5,6]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[6,8,3,5,1,7,4,2]=>[2,4,7,1,5,3,8,6]=>[2,1,7,4,8,3,5,6]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[5,1,8,4,7,6,3,2]=>[2,3,6,7,4,8,1,5]=>[6,7,2,3,1,4,5,8]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[4,3,8,1,5,6,7,2]=>[2,7,6,5,1,8,3,4]=>[2,7,1,8,6,5,3,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[4,8,3,6,1,2,7,5]=>[5,7,2,1,6,3,8,4]=>[5,2,7,3,8,6,1,4]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[3,8,7,4,1,6,2,5]=>[5,2,6,1,4,7,8,3]=>[5,2,6,7,8,1,4,3]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[3,8,1,2,5,6,7,4]=>[4,7,6,5,2,1,8,3]=>[4,2,7,6,5,3,1,8]=>[[[.,.],[[[[.,.],.],.],.]],[.,.]]
[8,7,1,4,2,6,3,5]=>[5,3,6,2,4,1,7,8]=>[5,6,7,3,8,2,4,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[8,6,3,1,2,4,7,5]=>[5,7,4,2,1,3,6,8]=>[2,5,7,8,4,3,1,6]=>[[.,[[[.,[.,[.,.]]],.],.]],[.,.]]
[8,1,7,4,5,2,3,6]=>[6,3,2,5,4,7,1,8]=>[3,6,5,7,2,8,4,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[8,6,3,2,1,4,7,5]=>[5,7,4,1,2,3,6,8]=>[1,2,5,7,8,4,3,6]=>[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]
[8,7,3,5,2,1,4,6]=>[6,4,1,2,5,3,7,8]=>[1,4,6,2,7,8,5,3]=>[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]
[5,8,3,6,2,1,7,4]=>[4,7,1,2,6,3,8,5]=>[4,1,7,2,6,8,3,5]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[5,8,7,4,2,6,1,3]=>[3,1,6,2,4,7,8,5]=>[3,1,2,6,7,4,8,5]=>[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]
[2,6,8,4,5,7,1,3]=>[3,1,7,5,4,8,6,2]=>[7,3,1,5,4,2,8,6]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[5,8,3,6,1,2,7,4]=>[4,7,2,1,6,3,8,5]=>[4,2,7,3,8,6,1,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[4,1,8,2,5,6,7,3]=>[3,7,6,5,2,8,1,4]=>[3,7,2,6,5,4,1,8]=>[[[.,[.,.]],[[[.,.],.],.]],[.,.]]
[2,4,8,1,5,6,7,3]=>[3,7,6,5,1,8,4,2]=>[7,3,1,6,5,4,2,8]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[3,4,8,2,5,6,7,1]=>[1,7,6,5,2,8,4,3]=>[7,6,1,8,5,4,2,3]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[5,8,1,4,7,6,2,3]=>[3,2,6,7,4,1,8,5]=>[3,2,6,4,1,7,8,5]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[5,8,3,1,6,2,7,4]=>[4,7,2,6,1,3,8,5]=>[4,2,7,8,3,6,1,5]=>[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]
[4,5,3,8,6,1,7,2]=>[2,7,1,6,8,3,5,4]=>[7,2,6,1,5,8,3,4]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[3,4,1,8,5,6,7,2]=>[2,7,6,5,8,1,4,3]=>[7,2,6,1,5,4,3,8]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[2,4,6,8,10,1,3,5,7,9]=>[9,7,5,3,1,10,8,6,4,2]=>[9,7,5,3,1,10,8,6,4,2]=>[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]]
[7,8,9,10,11,12,1,2,3,4,5,6]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>[[[[[[.,.],.],.],.],.],[[[[[[.,.],.],.],.],.],.]]
[4,5,7,6,2,3,8,1]=>[1,8,3,2,6,7,5,4]=>[8,3,1,2,6,5,4,7]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[3,5,7,2,6,4,8,1]=>[1,8,4,6,2,7,5,3]=>[8,4,1,6,2,5,3,7]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[2,5,7,3,6,4,8,1]=>[1,8,4,6,3,7,5,2]=>[8,4,1,6,3,5,2,7]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[1,5,7,3,6,8,4,2]=>[2,4,8,6,3,7,5,1]=>[8,4,2,6,3,1,5,7]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[8,4,3,7,6,1,5,2]=>[2,5,1,6,7,3,4,8]=>[2,5,6,1,3,7,4,8]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[5,2,7,3,6,4,8,1]=>[1,8,4,6,3,7,2,5]=>[4,8,1,6,3,5,2,7]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[8,3,4,7,6,1,5,2]=>[2,5,1,6,7,4,3,8]=>[2,5,4,1,6,7,