Identifier
Mp00064:
Permutations
—reverse⟶
Permutations
Mp00069: Permutations —complement⟶ Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Mp00069: Permutations —complement⟶ Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Images
=>
Cc0010;cc-rep-3
[1]=>[1]=>[1]=>[.,.]
[1,2]=>[2,1]=>[1,2]=>[.,[.,.]]
[2,1]=>[1,2]=>[2,1]=>[[.,.],.]
[1,2,3]=>[3,2,1]=>[1,2,3]=>[.,[.,[.,.]]]
[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]=>[3,2,1]=>[[[.,.],.],.]
[1,2,3,4]=>[4,3,2,1]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[1,2,4,3]=>[3,4,2,1]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[1,3,2,4]=>[4,2,3,1]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[1,3,4,2]=>[2,4,3,1]=>[3,1,2,4]=>[[.,.],[.,[.,.]]]
[1,4,2,3]=>[3,2,4,1]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[1,4,3,2]=>[2,3,4,1]=>[3,2,1,4]=>[[[.,.],.],[.,.]]
[2,1,3,4]=>[4,3,1,2]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]
[2,1,4,3]=>[3,4,1,2]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[2,3,1,4]=>[4,1,3,2]=>[1,4,2,3]=>[.,[[.,.],[.,.]]]
[2,3,4,1]=>[1,4,3,2]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[2,4,1,3]=>[3,1,4,2]=>[2,4,1,3]=>[[.,[.,.]],[.,.]]
[2,4,3,1]=>[1,3,4,2]=>[4,2,1,3]=>[[[.,.],.],[.,.]]
[3,1,2,4]=>[4,2,1,3]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]
[3,1,4,2]=>[2,4,1,3]=>[3,1,4,2]=>[[.,.],[[.,.],.]]
[3,2,1,4]=>[4,1,2,3]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[3,2,4,1]=>[1,4,2,3]=>[4,1,3,2]=>[[.,.],[[.,.],.]]
[3,4,1,2]=>[2,1,4,3]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[3,4,2,1]=>[1,2,4,3]=>[4,3,1,2]=>[[[.,.],.],[.,.]]
[4,1,2,3]=>[3,2,1,4]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[4,1,3,2]=>[2,3,1,4]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[4,2,1,3]=>[3,1,2,4]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[4,2,3,1]=>[1,3,2,4]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[4,3,1,2]=>[2,1,3,4]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[4,3,2,1]=>[1,2,3,4]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[1,2,3,4,5]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[1,2,3,5,4]=>[4,5,3,2,1]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[1,2,4,3,5]=>[5,3,4,2,1]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]
[1,2,4,5,3]=>[3,5,4,2,1]=>[3,1,2,4,5]=>[[.,.],[.,[.,[.,.]]]]
[1,2,5,3,4]=>[4,3,5,2,1]=>[2,3,1,4,5]=>[[.,[.,.]],[.,[.,.]]]
[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]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]
[1,3,2,5,4]=>[4,5,2,3,1]=>[2,1,4,3,5]=>[[.,.],[[.,.],[.,.]]]
[1,3,4,2,5]=>[5,2,4,3,1]=>[1,4,2,3,5]=>[.,[[.,.],[.,[.,.]]]]
[1,3,4,5,2]=>[2,5,4,3,1]=>[4,1,2,3,5]=>[[.,.],[.,[.,[.,.]]]]
[1,3,5,2,4]=>[4,2,5,3,1]=>[2,4,1,3,5]=>[[.,[.,.]],[.,[.,.]]]
[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]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[1,4,2,5,3]=>[3,5,2,4,1]=>[3,1,4,2,5]=>[[.,.],[[.,.],[.,.]]]
[1,4,3,2,5]=>[5,2,3,4,1]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]
[1,4,3,5,2]=>[2,5,3,4,1]=>[4,1,3,2,5]=>[[.,.],[[.,.],[.,.]]]
[1,4,5,2,3]=>[3,2,5,4,1]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[1,4,5,3,2]=>[2,3,5,4,1]=>[4,3,1,2,5]=>[[[.,.],.],[.,[.,.]]]
[1,5,2,3,4]=>[4,3,2,5,1]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[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]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[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]=>[3,4,2,1,5]=>[[[.,[.,.]],.],[.,.]]
[1,5,4,3,2]=>[2,3,4,5,1]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]
[2,1,3,4,5]=>[5,4,3,1,2]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]
[2,1,3,5,4]=>[4,5,3,1,2]=>[2,1,3,5,4]=>[[.,.],[.,[[.,.],.]]]
[2,1,4,3,5]=>[5,3,4,1,2]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]
[2,1,4,5,3]=>[3,5,4,1,2]=>[3,1,2,5,4]=>[[.,.],[.,[[.,.],.]]]
[2,1,5,3,4]=>[4,3,5,1,2]=>[2,3,1,5,4]=>[[.,[.,.]],[[.,.],.]]
[2,1,5,4,3]=>[3,4,5,1,2]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[2,3,1,4,5]=>[5,4,1,3,2]=>[1,2,5,3,4]=>[.,[.,[[.,.],[.,.]]]]
[2,3,1,5,4]=>[4,5,1,3,2]=>[2,1,5,3,4]=>[[.,.],[[.,.],[.,.]]]
[2,3,4,1,5]=>[5,1,4,3,2]=>[1,5,2,3,4]=>[.,[[.,.],[.,[.,.]]]]
[2,3,4,5,1]=>[1,5,4,3,2]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[2,3,5,1,4]=>[4,1,5,3,2]=>[2,5,1,3,4]=>[[.,[.,.]],[.,[.,.]]]
[2,3,5,4,1]=>[1,4,5,3,2]=>[5,2,1,3,4]=>[[[.,.],.],[.,[.,.]]]
[2,4,1,3,5]=>[5,3,1,4,2]=>[1,3,5,2,4]=>[.,[[.,[.,.]],[.,.]]]
[2,4,1,5,3]=>[3,5,1,4,2]=>[3,1,5,2,4]=>[[.,.],[[.,.],[.,.]]]
[2,4,3,1,5]=>[5,1,3,4,2]=>[1,5,3,2,4]=>[.,[[[.,.],.],[.,.]]]
[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]=>[3,5,1,2,4]=>[[.,[.,.]],[.,[.,.]]]
[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]=>[2,3,5,1,4]=>[[.,[.,[.,.]]],[.,.]]
[2,5,1,4,3]=>[3,4,1,5,2]=>[3,2,5,1,4]=>[[[.,.],[.,.]],[.,.]]
[2,5,3,1,4]=>[4,1,3,5,2]=>[2,5,3,1,4]=>[[.,[[.,.],.]],[.,.]]
[2,5,3,4,1]=>[1,4,3,5,2]=>[5,2,3,1,4]=>[[[.,.],[.,.]],[.,.]]
[2,5,4,1,3]=>[3,1,4,5,2]=>[3,5,2,1,4]=>[[[.,[.,.]],.],[.,.]]
[2,5,4,3,1]=>[1,3,4,5,2]=>[5,3,2,1,4]=>[[[[.,.],.],.],[.,.]]
[3,1,2,4,5]=>[5,4,2,1,3]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[3,1,2,5,4]=>[4,5,2,1,3]=>[2,1,4,5,3]=>[[.,.],[[.,[.,.]],.]]
[3,1,4,2,5]=>[5,2,4,1,3]=>[1,4,2,5,3]=>[.,[[.,.],[[.,.],.]]]
[3,1,4,5,2]=>[2,5,4,1,3]=>[4,1,2,5,3]=>[[.,.],[.,[[.,.],.]]]
[3,1,5,2,4]=>[4,2,5,1,3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[3,1,5,4,2]=>[2,4,5,1,3]=>[4,2,1,5,3]=>[[[.,.],.],[[.,.],.]]
[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]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[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]=>[5,1,2,4,3]=>[[.,.],[.,[[.,.],.]]]
[3,2,5,1,4]=>[4,1,5,2,3]=>[2,5,1,4,3]=>[[.,[.,.]],[[.,.],.]]
[3,2,5,4,1]=>[1,4,5,2,3]=>[5,2,1,4,3]=>[[[.,.],.],[[.,.],.]]
[3,4,1,2,5]=>[5,2,1,4,3]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]
[3,4,1,5,2]=>[2,5,1,4,3]=>[4,1,5,2,3]=>[[.,.],[[.,.],[.,.]]]
[3,4,2,1,5]=>[5,1,2,4,3]=>[1,5,4,2,3]=>[.,[[[.,.],.],[.,.]]]
[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]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[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]=>[2,4,5,1,3]=>[[.,[.,[.,.]]],[.,.]]
[3,5,1,4,2]=>[2,4,1,5,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,5,2,1,4]=>[4,1,2,5,3]=>[2,5,4,1,3]=>[[.,[[.,.],.]],[.,.]]
[3,5,2,4,1]=>[1,4,2,5,3]=>[5,2,4,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,5,4,1,2]=>[2,1,4,5,3]=>[4,5,2,1,3]=>[[[.,[.,.]],.],[.,.]]
[3,5,4,2,1]=>[1,2,4,5,3]=>[5,4,2,1,3]=>[[[[.,.],.],.],[.,.]]
[4,1,2,3,5]=>[5,3,2,1,4]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]
[4,1,2,5,3]=>[3,5,2,1,4]=>[3,1,4,5,2]=>[[.,.],[[.,[.,.]],.]]
[4,1,3,2,5]=>[5,2,3,1,4]=>[1,4,3,5,2]=>[.,[[[.,.],[.,.]],.]]
[4,1,3,5,2]=>[2,5,3,1,4]=>[4,1,3,5,2]=>[[.,.],[[.,[.,.]],.]]
[4,1,5,2,3]=>[3,2,5,1,4]=>[3,4,1,5,2]=>[[.,[.,.]],[[.,.],.]]
[4,1,5,3,2]=>[2,3,5,1,4]=>[4,3,1,5,2]=>[[[.,.],.],[[.,.],.]]
[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]=>[3,1,5,4,2]=>[[.,.],[[[.,.],.],.]]
[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]=>[5,1,3,4,2]=>[[.,.],[[.,[.,.]],.]]
[4,2,5,1,3]=>[3,1,5,2,4]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[4,2,5,3,1]=>[1,3,5,2,4]=>[5,3,1,4,2]=>[[[.,.],.],[[.,.],.]]
[4,3,1,2,5]=>[5,2,1,3,4]=>[1,4,5,3,2]=>[.,[[[.,[.,.]],.],.]]
[4,3,1,5,2]=>[2,5,1,3,4]=>[4,1,5,3,2]=>[[.,.],[[[.,.],.],.]]
[4,3,2,1,5]=>[5,1,2,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[4,3,2,5,1]=>[1,5,2,3,4]=>[5,1,4,3,2]=>[[.,.],[[[.,.],.],.]]
[4,3,5,1,2]=>[2,1,5,3,4]=>[4,5,1,3,2]=>[[.,[.,.]],[[.,.],.]]
[4,3,5,2,1]=>[1,2,5,3,4]=>[5,4,1,3,2]=>[[[.,.],.],[[.,.],.]]
[4,5,1,2,3]=>[3,2,1,5,4]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[4,5,1,3,2]=>[2,3,1,5,4]=>[4,3,5,1,2]=>[[[.,.],[.,.]],[.,.]]
[4,5,2,1,3]=>[3,1,2,5,4]=>[3,5,4,1,2]=>[[.,[[.,.],.]],[.,.]]
[4,5,2,3,1]=>[1,3,2,5,4]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[4,5,3,1,2]=>[2,1,3,5,4]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[4,5,3,2,1]=>[1,2,3,5,4]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[5,1,2,3,4]=>[4,3,2,1,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[5,1,2,4,3]=>[3,4,2,1,5]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[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]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[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]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[5,2,1,3,4]=>[4,3,1,2,5]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[5,2,1,4,3]=>[3,4,1,2,5]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[5,2,3,1,4]=>[4,1,3,2,5]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[5,2,3,4,1]=>[1,4,3,2,5]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[5,2,4,1,3]=>[3,1,4,2,5]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[5,2,4,3,1]=>[1,3,4,2,5]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[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]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[5,3,2,1,4]=>[4,1,2,3,5]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[5,3,2,4,1]=>[1,4,2,3,5]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[5,3,4,1,2]=>[2,1,4,3,5]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[5,3,4,2,1]=>[1,2,4,3,5]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[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]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[5,4,2,1,3]=>[3,1,2,4,5]=>[3,5,4,2,1]=>[[[.,[[.,.],.]],.],.]
[5,4,2,3,1]=>[1,3,2,4,5]=>[5,3,4,2,1]=>[[[[.,.],[.,.]],.],.]
[5,4,3,1,2]=>[2,1,3,4,5]=>[4,5,3,2,1]=>[[[[.,[.,.]],.],.],.]
[5,4,3,2,1]=>[1,2,3,4,5]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>[3,1,2,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>[2,3,1,4,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[1,2,3,6,5,4]=>[4,5,6,3,2,1]=>[3,2,1,4,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[1,2,4,3,6,5]=>[5,6,3,4,2,1]=>[2,1,4,3,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>[1,4,2,3,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[1,2,4,5,6,3]=>[3,6,5,4,2,1]=>[4,1,2,3,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>[2,4,1,3,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[1,2,4,6,5,3]=>[3,5,6,4,2,1]=>[4,2,1,3,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>[1,3,4,2,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[1,2,5,3,6,4]=>[4,6,3,5,2,1]=>[3,1,4,2,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,2,5,4,3,6]=>[6,3,4,5,2,1]=>[1,4,3,2,5,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[1,2,5,4,6,3]=>[3,6,4,5,2,1]=>[4,1,3,2,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[1,2,5,6,4,3]=>[3,4,6,5,2,1]=>[4,3,1,2,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[2,3,4,1,5,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[1,2,6,3,5,4]=>[4,5,3,6,2,1]=>[3,2,4,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,2,6,4,3,5]=>[5,3,4,6,2,1]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[1,2,6,4,5,3]=>[3,5,4,6,2,1]=>[4,2,3,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,2,6,5,3,4]=>[4,3,5,6,2,1]=>[3,4,2,1,5,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[1,2,6,5,4,3]=>[3,4,5,6,2,1]=>[4,3,2,1,5,6]=>[[[[.,.],.],.],[.,[.,.]]]
[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[1,3,2,4,6,5]=>[5,6,4,2,3,1]=>[2,1,3,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[1,3,2,5,6,4]=>[4,6,5,2,3,1]=>[3,1,2,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[1,3,2,6,4,5]=>[5,4,6,2,3,1]=>[2,3,1,5,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[1,3,2,6,5,4]=>[4,5,6,2,3,1]=>[3,2,1,5,4,6]=>[[[.,.],.],[[.,.],[.,.]]]
[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>[1,2,5,3,4,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[1,3,4,2,6,5]=>[5,6,2,4,3,1]=>[2,1,5,3,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,3,4,5,2,6]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>[5,1,2,3,4,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>[2,5,1,3,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[1,3,4,6,5,2]=>[2,5,6,4,3,1]=>[5,2,1,3,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[1,3,5,2,4,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[1,3,5,2,6,4]=>[4,6,2,5,3,1]=>[3,1,5,2,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,3,5,4,2,6]=>[6,2,4,5,3,1]=>[1,5,3,2,4,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[1,3,5,4,6,2]=>[2,6,4,5,3,1]=>[5,1,3,2,4,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>[3,5,1,2,4,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[1,3,5,6,4,2]=>[2,4,6,5,3,1]=>[5,3,1,2,4,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>[2,3,5,1,4,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[1,3,6,2,5,4]=>[4,5,2,6,3,1]=>[3,2,5,1,4,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,3,6,4,2,5]=>[5,2,4,6,3,1]=>[2,5,3,1,4,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[1,3,6,4,5,2]=>[2,5,4,6,3,1]=>[5,2,3,1,4,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,3,6,5,2,4]=>[4,2,5,6,3,1]=>[3,5,2,1,4,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[1,3,6,5,4,2]=>[2,4,5,6,3,1]=>[5,3,2,1,4,6]=>[[[[.,.],.],.],[.,[.,.]]]
[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[1,4,2,3,6,5]=>[5,6,3,2,4,1]=>[2,1,4,5,3,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>[1,4,2,5,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[1,4,2,5,6,3]=>[3,6,5,2,4,1]=>[4,1,2,5,3,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>[2,4,1,5,3,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[1,4,2,6,5,3]=>[3,5,6,2,4,1]=>[4,2,1,5,3,6]=>[[[.,.],.],[[.,.],[.,.]]]
[1,4,3,2,5,6]=>[6,5,2,3,4,1]=>[1,2,5,4,3,6]=>[.,[.,[[[.,.],.],[.,.]]]]
[1,4,3,2,6,5]=>[5,6,2,3,4,1]=>[2,1,5,4,3,6]=>[[.,.],[[[.,.],.],[.,.]]]
[1,4,3,5,2,6]=>[6,2,5,3,4,1]=>[1,5,2,4,3,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[1,4,3,5,6,2]=>[2,6,5,3,4,1]=>[5,1,2,4,3,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[1,4,3,6,2,5]=>[5,2,6,3,4,1]=>[2,5,1,4,3,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[1,4,3,6,5,2]=>[2,5,6,3,4,1]=>[5,2,1,4,3,6]=>[[[.,.],.],[[.,.],[.,.]]]
[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[1,4,5,2,6,3]=>[3,6,2,5,4,1]=>[4,1,5,2,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,4,5,3,2,6]=>[6,2,3,5,4,1]=>[1,5,4,2,3,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[1,4,5,3,6,2]=>[2,6,3,5,4,1]=>[5,1,4,2,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>[4,5,1,2,3,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[1,4,5,6,3,2]=>[2,3,6,5,4,1]=>[5,4,1,2,3,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>[2,4,5,1,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[1,4,6,2,5,3]=>[3,5,2,6,4,1]=>[4,2,5,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,4,6,3,2,5]=>[5,2,3,6,4,1]=>[2,5,4,1,3,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[1,4,6,3,5,2]=>[2,5,3,6,4,1]=>[5,2,4,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,4,6,5,2,3]=>[3,2,5,6,4,1]=>[4,5,2,1,3,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[1,4,6,5,3,2]=>[2,3,5,6,4,1]=>[5,4,2,1,3,6]=>[[[[.,.],.],.],[.,[.,.]]]
[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>[3,1,4,5,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[1,5,2,4,3,6]=>[6,3,4,2,5,1]=>[1,4,3,5,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[1,5,2,4,6,3]=>[3,6,4,2,5,1]=>[4,1,3,5,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>[3,4,1,5,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[1,5,2,6,4,3]=>[3,4,6,2,5,1]=>[4,3,1,5,2,6]=>[[[.,.],.],[[.,.],[.,.]]]
[1,5,3,2,4,6]=>[6,4,2,3,5,1]=>[1,3,5,4,2,6]=>[.,[[.,[[.,.],.]],[.,.]]]
[1,5,3,2,6,4]=>[4,6,2,3,5,1]=>[3,1,5,4,2,6]=>[[.,.],[[[.,.],.],[.,.]]]
[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>[1,5,3,4,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[1,5,3,4,6,2]=>[2,6,4,3,5,1]=>[5,1,3,4,2,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[1,5,3,6,2,4]=>[4,2,6,3,5,1]=>[3,5,1,4,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[1,5,3,6,4,2]=>[2,4,6,3,5,1]=>[5,3,1,4,2,6]=>[[[.,.],.],[[.,.],[.,.]]]
[1,5,4,2,3,6]=>[6,3,2,4,5,1]=>[1,4,5,3,2,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[1,5,4,2,6,3]=>[3,6,2,4,5,1]=>[4,1,5,3,2,6]=>[[.,.],[[[.,.],.],[.,.]]]
[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[1,5,4,3,2,6]=>[.,[[[[.,.],.],.],[.,.]]]
[1,5,4,3,6,2]=>[2,6,3,4,5,1]=>[5,1,4,3,2,6]=>[[.,.],[[[.,.],.],[.,.]]]
[1,5,4,6,2,3]=>[3,2,6,4,5,1]=>[4,5,1,3,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[1,5,4,6,3,2]=>[2,3,6,4,5,1]=>[5,4,1,3,2,6]=>[[[.,.],.],[[.,.],[.,.]]]
[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>[3,4,5,1,2,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[1,5,6,2,4,3]=>[3,4,2,6,5,1]=>[4,3,5,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,5,6,3,2,4]=>[4,2,3,6,5,1]=>[3,5,4,1,2,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[1,5,6,3,4,2]=>[2,4,3,6,5,1]=>[5,3,4,1,2,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,5,6,4,2,3]=>[3,2,4,6,5,1]=>[4,5,3,1,2,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[1,5,6,4,3,2]=>[2,3,4,6,5,1]=>[5,4,3,1,2,6]=>[[[[.,.],.],.],[.,[.,.]]]
[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[2,3,4,5,1,6]=>[[.,[.,[.,[.,.]]]],[.,.]]
[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>[3,2,4,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[1,6,2,4,5,3]=>[3,5,4,2,6,1]=>[4,2,3,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>[3,4,2,5,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[1,6,2,5,4,3]=>[3,4,5,2,6,1]=>[4,3,2,5,1,6]=>[[[[.,.],.],[.,.]],[.,.]]
[1,6,3,2,4,5]=>[5,4,2,3,6,1]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[1,6,3,2,5,4]=>[4,5,2,3,6,1]=>[3,2,5,4,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[1,6,3,4,2,5]=>[5,2,4,3,6,1]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[1,6,3,4,5,2]=>[2,5,4,3,6,1]=>[5,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[1,6,3,5,2,4]=>[4,2,5,3,6,1]=>[3,5,2,4,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[1,6,3,5,4,2]=>[2,4,5,3,6,1]=>[5,3,2,4,1,6]=>[[[[.,.],.],[.,.]],[.,.]]
[1,6,4,2,3,5]=>[5,3,2,4,6,1]=>[2,4,5,3,1,6]=>[[.,[[.,[.,.]],.]],[.,.]]
[1,6,4,2,5,3]=>[3,5,2,4,6,1]=>[4,2,5,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[1,6,4,3,2,5]=>[5,2,3,4,6,1]=>[2,5,4,3,1,6]=>[[.,[[[.,.],.],.]],[.,.]]
[1,6,4,3,5,2]=>[2,5,3,4,6,1]=>[5,2,4,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[1,6,4,5,2,3]=>[3,2,5,4,6,1]=>[4,5,2,3,1,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[1,6,4,5,3,2]=>[2,3,5,4,6,1]=>[5,4,2,3,1,6]=>[[[[.,.],.],[.,.]],[.,.]]
[1,6,5,2,3,4]=>[4,3,2,5,6,1]=>[3,4,5,2,1,6]=>[[[.,[.,[.,.]]],.],[.,.]]
[1,6,5,2,4,3]=>[3,4,2,5,6,1]=>[4,3,5,2,1,6]=>[[[[.,.],[.,.]],.],[.,.]]
[1,6,5,3,2,4]=>[4,2,3,5,6,1]=>[3,5,4,2,1,6]=>[[[.,[[.,.],.]],.],[.,.]]
[1,6,5,3,4,2]=>[2,4,3,5,6,1]=>[5,3,4,2,1,6]=>[[[[.,.],[.,.]],.],[.,.]]
[1,6,5,4,2,3]=>[3,2,4,5,6,1]=>[4,5,3,2,1,6]=>[[[[.,[.,.]],.],.],[.,.]]
[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[2,1,3,4,5,6]=>[6,5,4,3,1,2]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]
[2,1,3,4,6,5]=>[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[2,1,3,5,4,6]=>[6,4,5,3,1,2]=>[1,3,2,4,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]
[2,1,3,5,6,4]=>[4,6,5,3,1,2]=>[3,1,2,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[2,1,3,6,4,5]=>[5,4,6,3,1,2]=>[2,3,1,4,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[2,1,3,6,5,4]=>[4,5,6,3,1,2]=>[3,2,1,4,6,5]=>[[[.,.],.],[.,[[.,.],.]]]
[2,1,4,3,5,6]=>[6,5,3,4,1,2]=>[1,2,4,3,6,5]=>[.,[.,[[.,.],[[.,.],.]]]]
[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[2,1,4,5,3,6]=>[6,3,5,4,1,2]=>[1,4,2,3,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]
[2,1,4,5,6,3]=>[3,6,5,4,1,2]=>[4,1,2,3,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[2,1,4,6,3,5]=>[5,3,6,4,1,2]=>[2,4,1,3,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[2,1,4,6,5,3]=>[3,5,6,4,1,2]=>[4,2,1,3,6,5]=>[[[.,.],.],[.,[[.,.],.]]]
[2,1,5,3,4,6]=>[6,4,3,5,1,2]=>[1,3,4,2,6,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[2,1,5,3,6,4]=>[4,6,3,5,1,2]=>[3,1,4,2,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[2,1,5,4,3,6]=>[6,3,4,5,1,2]=>[1,4,3,2,6,5]=>[.,[[[.,.],.],[[.,.],.]]]
[2,1,5,4,6,3]=>[3,6,4,5,1,2]=>[4,1,3,2,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[2,1,5,6,3,4]=>[4,3,6,5,1,2]=>[3,4,1,2,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[2,1,5,6,4,3]=>[3,4,6,5,1,2]=>[4,3,1,2,6,5]=>[[[.,.],.],[.,[[.,.],.]]]
[2,1,6,3,4,5]=>[5,4,3,6,1,2]=>[2,3,4,1,6,5]=>[[.,[.,[.,.]]],[[.,.],.]]
[2,1,6,3,5,4]=>[4,5,3,6,1,2]=>[3,2,4,1,6,5]=>[[[.,.],[.,.]],[[.,.],.]]
[2,1,6,4,3,5]=>[5,3,4,6,1,2]=>[2,4,3,1,6,5]=>[[.,[[.,.],.]],[[.,.],.]]
[2,1,6,4,5,3]=>[3,5,4,6,1,2]=>[4,2,3,1,6,5]=>[[[.,.],[.,.]],[[.,.],.]]
[2,1,6,5,3,4]=>[4,3,5,6,1,2]=>[3,4,2,1,6,5]=>[[[.,[.,.]],.],[[.,.],.]]
[2,1,6,5,4,3]=>[3,4,5,6,1,2]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[2,3,1,4,5,6]=>[6,5,4,1,3,2]=>[1,2,3,6,4,5]=>[.,[.,[.,[[.,.],[.,.]]]]]
[2,3,1,4,6,5]=>[5,6,4,1,3,2]=>[2,1,3,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[2,3,1,5,4,6]=>[6,4,5,1,3,2]=>[1,3,2,6,4,5]=>[.,[[.,.],[[.,.],[.,.]]]]
[2,3,1,5,6,4]=>[4,6,5,1,3,2]=>[3,1,2,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[2,3,1,6,4,5]=>[5,4,6,1,3,2]=>[2,3,1,6,4,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,3,1,6,5,4]=>[4,5,6,1,3,2]=>[3,2,1,6,4,5]=>[[[.,.],.],[[.,.],[.,.]]]
[2,3,4,1,5,6]=>[6,5,1,4,3,2]=>[1,2,6,3,4,5]=>[.,[.,[[.,.],[.,[.,.]]]]]
[2,3,4,1,6,5]=>[5,6,1,4,3,2]=>[2,1,6,3,4,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[2,3,4,5,1,6]=>[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>[.,[[.,.],[.,[.,[.,.]]]]]
[2,3,4,5,6,1]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>[2,6,1,3,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[2,3,4,6,5,1]=>[1,5,6,4,3,2]=>[6,2,1,3,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[2,3,5,1,4,6]=>[6,4,1,5,3,2]=>[1,3,6,2,4,5]=>[.,[[.,[.,.]],[.,[.,.]]]]
[2,3,5,1,6,4]=>[4,6,1,5,3,2]=>[3,1,6,2,4,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[2,3,5,4,1,6]=>[6,1,4,5,3,2]=>[1,6,3,2,4,5]=>[.,[[[.,.],.],[.,[.,.]]]]
[2,3,5,4,6,1]=>[1,6,4,5,3,2]=>[6,1,3,2,4,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>[3,6,1,2,4,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[2,3,5,6,4,1]=>[1,4,6,5,3,2]=>[6,3,1,2,4,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>[2,3,6,1,4,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[2,3,6,1,5,4]=>[4,5,1,6,3,2]=>[3,2,6,1,4,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[2,3,6,4,1,5]=>[5,1,4,6,3,2]=>[2,6,3,1,4,5]=>[[.,[[.,.],.]],[.,[.,.]]]
[2,3,6,4,5,1]=>[1,5,4,6,3,2]=>[6,2,3,1,4,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[2,3,6,5,1,4]=>[4,1,5,6,3,2]=>[3,6,2,1,4,5]=>[[[.,[.,.]],.],[.,[.,.]]]
[2,3,6,5,4,1]=>[1,4,5,6,3,2]=>[6,3,2,1,4,5]=>[[[[.,.],.],.],[.,[.,.]]]
[2,4,1,3,5,6]=>[6,5,3,1,4,2]=>[1,2,4,6,3,5]=>[.,[.,[[.,[.,.]],[.,.]]]]
[2,4,1,3,6,5]=>[5,6,3,1,4,2]=>[2,1,4,6,3,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,4,1,5,3,6]=>[6,3,5,1,4,2]=>[1,4,2,6,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]
[2,4,1,5,6,3]=>[3,6,5,1,4,2]=>[4,1,2,6,3,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[2,4,1,6,3,5]=>[5,3,6,1,4,2]=>[2,4,1,6,3,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,4,1,6,5,3]=>[3,5,6,1,4,2]=>[4,2,1,6,3,5]=>[[[.,.],.],[[.,.],[.,.]]]
[2,4,3,1,5,6]=>[6,5,1,3,4,2]=>[1,2,6,4,3,5]=>[.,[.,[[[.,.],.],[.,.]]]]
[2,4,3,1,6,5]=>[5,6,1,3,4,2]=>[2,1,6,4,3,5]=>[[.,.],[[[.,.],.],[.,.]]]
[2,4,3,5,1,6]=>[6,1,5,3,4,2]=>[1,6,2,4,3,5]=>[.,[[.,.],[[.,.],[.,.]]]]
[2,4,3,5,6,1]=>[1,6,5,3,4,2]=>[6,1,2,4,3,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[2,4,3,6,1,5]=>[5,1,6,3,4,2]=>[2,6,1,4,3,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,4,3,6,5,1]=>[1,5,6,3,4,2]=>[6,2,1,4,3,5]=>[[[.,.],.],[[.,.],[.,.]]]
[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>[1,4,6,2,3,5]=>[.,[[.,[.,.]],[.,[.,.]]]]
[2,4,5,1,6,3]=>[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[2,4,5,3,1,6]=>[6,1,3,5,4,2]=>[1,6,4,2,3,5]=>[.,[[[.,.],.],[.,[.,.]]]]
[2,4,5,3,6,1]=>[1,6,3,5,4,2]=>[6,1,4,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>[4,6,1,2,3,5]=>[[.,[.,.]],[.,[.,[.,.]]]]
[2,4,5,6,3,1]=>[1,3,6,5,4,2]=>[6,4,1,2,3,5]=>[[[.,.],.],[.,[.,[.,.]]]]
[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>[2,4,6,1,3,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[2,4,6,1,5,3]=>[3,5,1,6,4,2]=>[4,2,6,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[2,4,6,3,1,5]=>[5,1,3,6,4,2]=>[2,6,4,1,3,5]=>[[.,[[.,.],.]],[.,[.,.]]]
[2,4,6,3,5,1]=>[1,5,3,6,4,2]=>[6,2,4,1,3,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[2,4,6,5,1,3]=>[3,1,5,6,4,2]=>[4,6,2,1,3,5]=>[[[.,[.,.]],.],[.,[.,.]]]
[2,4,6,5,3,1]=>[1,3,5,6,4,2]=>[6,4,2,1,3,5]=>[[[[.,.],.],.],[.,[.,.]]]
[2,5,1,3,4,6]=>[6,4,3,1,5,2]=>[1,3,4,6,2,5]=>[.,[[.,[.,[.,.]]],[.,.]]]
[2,5,1,3,6,4]=>[4,6,3,1,5,2]=>[3,1,4,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,5,1,4,3,6]=>[6,3,4,1,5,2]=>[1,4,3,6,2,5]=>[.,[[[.,.],[.,.]],[.,.]]]
[2,5,1,4,6,3]=>[3,6,4,1,5,2]=>[4,1,3,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,5,1,6,3,4]=>[4,3,6,1,5,2]=>[3,4,1,6,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,5,1,6,4,3]=>[3,4,6,1,5,2]=>[4,3,1,6,2,5]=>[[[.,.],.],[[.,.],[.,.]]]
[2,5,3,1,4,6]=>[6,4,1,3,5,2]=>[1,3,6,4,2,5]=>[.,[[.,[[.,.],.]],[.,.]]]
[2,5,3,1,6,4]=>[4,6,1,3,5,2]=>[3,1,6,4,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[2,5,3,4,1,6]=>[6,1,4,3,5,2]=>[1,6,3,4,2,5]=>[.,[[[.,.],[.,.]],[.,.]]]
[2,5,3,4,6,1]=>[1,6,4,3,5,2]=>[6,1,3,4,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,5,3,6,1,4]=>[4,1,6,3,5,2]=>[3,6,1,4,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,5,3,6,4,1]=>[1,4,6,3,5,2]=>[6,3,1,4,2,5]=>[[[.,.],.],[[.,.],[.,.]]]
[2,5,4,1,3,6]=>[6,3,1,4,5,2]=>[1,4,6,3,2,5]=>[.,[[[.,[.,.]],.],[.,.]]]
[2,5,4,1,6,3]=>[3,6,1,4,5,2]=>[4,1,6,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[2,5,4,3,1,6]=>[6,1,3,4,5,2]=>[1,6,4,3,2,5]=>[.,[[[[.,.],.],.],[.,.]]]
[2,5,4,3,6,1]=>[1,6,3,4,5,2]=>[6,1,4,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[2,5,4,6,1,3]=>[3,1,6,4,5,2]=>[4,6,1,3,2,5]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,5,4,6,3,1]=>[1,3,6,4,5,2]=>[6,4,1,3,2,5]=>[[[.,.],.],[[.,.],[.,.]]]
[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>[3,4,6,1,2,5]=>[[.,[.,[.,.]]],[.,[.,.]]]
[2,5,6,1,4,3]=>[3,4,1,6,5,2]=>[4,3,6,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[2,5,6,3,1,4]=>[4,1,3,6,5,2]=>[3,6,4,1,2,5]=>[[.,[[.,.],.]],[.,[.,.]]]
[2,5,6,3,4,1]=>[1,4,3,6,5,2]=>[6,3,4,1,2,5]=>[[[.,.],[.,.]],[.,[.,.]]]
[2,5,6,4,1,3]=>[3,1,4,6,5,2]=>[4,6,3,1,2,5]=>[[[.,[.,.]],.],[.,[.,.]]]
[2,5,6,4,3,1]=>[1,3,4,6,5,2]=>[6,4,3,1,2,5]=>[[[[.,.],.],.],[.,[.,.]]]
[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>[2,3,4,6,1,5]=>[[.,[.,[.,[.,.]]]],[.,.]]
[2,6,1,3,5,4]=>[4,5,3,1,6,2]=>[3,2,4,6,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]
[2,6,1,4,3,5]=>[5,3,4,1,6,2]=>[2,4,3,6,1,5]=>[[.,[[.,.],[.,.]]],[.,.]]
[2,6,1,4,5,3]=>[3,5,4,1,6,2]=>[4,2,3,6,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]
[2,6,1,5,3,4]=>[4,3,5,1,6,2]=>[3,4,2,6,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,6,1,5,4,3]=>[3,4,5,1,6,2]=>[4,3,2,6,1,5]=>[[[[.,.],.],[.,.]],[.,.]]
[2,6,3,1,4,5]=>[5,4,1,3,6,2]=>[2,3,6,4,1,5]=>[[.,[.,[[.,.],.]]],[.,.]]
[2,6,3,1,5,4]=>[4,5,1,3,6,2]=>[3,2,6,4,1,5]=>[[[.,.],[[.,.],.]],[.,.]]
[2,6,3,4,1,5]=>[5,1,4,3,6,2]=>[2,6,3,4,1,5]=>[[.,[[.,.],[.,.]]],[.,.]]
[2,6,3,4,5,1]=>[1,5,4,3,6,2]=>[6,2,3,4,1,5]=>[[[.,.],[.,[.,.]]],[.,.]]
[2,6,3,5,1,4]=>[4,1,5,3,6,2]=>[3,6,2,4,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,6,3,5,4,1]=>[1,4,5,3,6,2]=>[6,3,2,4,1,5]=>[[[[.,.],.],[.,.]],[.,.]]
[2,6,4,1,3,5]=>[5,3,1,4,6,2]=>[2,4,6,3,1,5]=>[[.,[[.,[.,.]],.]],[.,.]]
[2,6,4,1,5,3]=>[3,5,1,4,6,2]=>[4,2,6,3,1,5]=>[[[.,.],[[.,.],.]],[.,.]]
[2,6,4,3,1,5]=>[5,1,3,4,6,2]=>[2,6,4,3,1,5]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,4,3,5,1]=>[1,5,3,4,6,2]=>[6,2,4,3,1,5]=>[[[.,.],[[.,.],.]],[.,.]]
[2,6,4,5,1,3]=>[3,1,5,4,6,2]=>[4,6,2,3,1,5]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,6,4,5,3,1]=>[1,3,5,4,6,2]=>[6,4,2,3,1,5]=>[[[[.,.],.],[.,.]],[.,.]]
[2,6,5,1,3,4]=>[4,3,1,5,6,2]=>[3,4,6,2,1,5]=>[[[.,[.,[.,.]]],.],[.,.]]
[2,6,5,1,4,3]=>[3,4,1,5,6,2]=>[4,3,6,2,1,5]=>[[[[.,.],[.,.]],.],[.,.]]
[2,6,5,3,1,4]=>[4,1,3,5,6,2]=>[3,6,4,2,1,5]=>[[[.,[[.,.],.]],.],[.,.]]
[2,6,5,3,4,1]=>[1,4,3,5,6,2]=>[6,3,4,2,1,5]=>[[[[.,.],[.,.]],.],[.,.]]
[2,6,5,4,1,3]=>[3,1,4,5,6,2]=>[4,6,3,2,1,5]=>[[[[.,[.,.]],.],.],[.,.]]
[2,6,5,4,3,1]=>[1,3,4,5,6,2]=>[6,4,3,2,1,5]=>[[[[[.,.],.],.],.],[.,.]]
[3,1,2,4,5,6]=>[6,5,4,2,1,3]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]
[3,1,2,4,6,5]=>[5,6,4,2,1,3]=>[2,1,3,5,6,4]=>[[.,.],[.,[[.,[.,.]],.]]]
[3,1,2,5,4,6]=>[6,4,5,2,1,3]=>[1,3,2,5,6,4]=>[.,[[.,.],[[.,[.,.]],.]]]
[3,1,2,5,6,4]=>[4,6,5,2,1,3]=>[3,1,2,5,6,4]=>[[.,.],[.,[[.,[.,.]],.]]]
[3,1,2,6,4,5]=>[5,4,6,2,1,3]=>[2,3,1,5,6,4]=>[[.,[.,.]],[[.,[.,.]],.]]
[3,1,2,6,5,4]=>[4,5,6,2,1,3]=>[3,2,1,5,6,4]=>[[[.,.],.],[[.,[.,.]],.]]
[3,1,4,2,5,6]=>[6,5,2,4,1,3]=>[1,2,5,3,6,4]=>[.,[.,[[.,.],[[.,.],.]]]]
[3,1,4,2,6,5]=>[5,6,2,4,1,3]=>[2,1,5,3,6,4]=>[[.,.],[[.,.],[[.,.],.]]]
[3,1,4,5,2,6]=>[6,2,5,4,1,3]=>[1,5,2,3,6,4]=>[.,[[.,.],[.,[[.,.],.]]]]
[3,1,4,5,6,2]=>[2,6,5,4,1,3]=>[5,1,2,3,6,4]=>[[.,.],[.,[.,[[.,.],.]]]]
[3,1,4,6,2,5]=>[5,2,6,4,1,3]=>[2,5,1,3,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,1,4,6,5,2]=>[2,5,6,4,1,3]=>[5,2,1,3,6,4]=>[[[.,.],.],[.,[[.,.],.]]]
[3,1,5,2,4,6]=>[6,4,2,5,1,3]=>[1,3,5,2,6,4]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,1,5,2,6,4]=>[4,6,2,5,1,3]=>[3,1,5,2,6,4]=>[[.,.],[[.,.],[[.,.],.]]]
[3,1,5,4,2,6]=>[6,2,4,5,1,3]=>[1,5,3,2,6,4]=>[.,[[[.,.],.],[[.,.],.]]]
[3,1,5,4,6,2]=>[2,6,4,5,1,3]=>[5,1,3,2,6,4]=>[[.,.],[[.,.],[[.,.],.]]]
[3,1,5,6,2,4]=>[4,2,6,5,1,3]=>[3,5,1,2,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,1,5,6,4,2]=>[2,4,6,5,1,3]=>[5,3,1,2,6,4]=>[[[.,.],.],[.,[[.,.],.]]]
[3,1,6,2,4,5]=>[5,4,2,6,1,3]=>[2,3,5,1,6,4]=>[[.,[.,[.,.]]],[[.,.],.]]
[3,1,6,2,5,4]=>[4,5,2,6,1,3]=>[3,2,5,1,6,4]=>[[[.,.],[.,.]],[[.,.],.]]
[3,1,6,4,2,5]=>[5,2,4,6,1,3]=>[2,5,3,1,6,4]=>[[.,[[.,.],.]],[[.,.],.]]
[3,1,6,4,5,2]=>[2,5,4,6,1,3]=>[5,2,3,1,6,4]=>[[[.,.],[.,.]],[[.,.],.]]
[3,1,6,5,2,4]=>[4,2,5,6,1,3]=>[3,5,2,1,6,4]=>[[[.,[.,.]],.],[[.,.],.]]
[3,1,6,5,4,2]=>[2,4,5,6,1,3]=>[5,3,2,1,6,4]=>[[[[.,.],.],.],[[.,.],.]]
[3,2,1,4,5,6]=>[6,5,4,1,2,3]=>[1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]]
[3,2,1,4,6,5]=>[5,6,4,1,2,3]=>[2,1,3,6,5,4]=>[[.,.],[.,[[[.,.],.],.]]]
[3,2,1,5,4,6]=>[6,4,5,1,2,3]=>[1,3,2,6,5,4]=>[.,[[.,.],[[[.,.],.],.]]]
[3,2,1,5,6,4]=>[4,6,5,1,2,3]=>[3,1,2,6,5,4]=>[[.,.],[.,[[[.,.],.],.]]]
[3,2,1,6,4,5]=>[5,4,6,1,2,3]=>[2,3,1,6,5,4]=>[[.,[.,.]],[[[.,.],.],.]]
[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,1,5,6]=>[6,5,1,4,2,3]=>[1,2,6,3,5,4]=>[.,[.,[[.,.],[[.,.],.]]]]
[3,2,4,1,6,5]=>[5,6,1,4,2,3]=>[2,1,6,3,5,4]=>[[.,.],[[.,.],[[.,.],.]]]
[3,2,4,5,1,6]=>[6,1,5,4,2,3]=>[1,6,2,3,5,4]=>[.,[[.,.],[.,[[.,.],.]]]]
[3,2,4,5,6,1]=>[1,6,5,4,2,3]=>[6,1,2,3,5,4]=>[[.,.],[.,[.,[[.,.],.]]]]
[3,2,4,6,1,5]=>[5,1,6,4,2,3]=>[2,6,1,3,5,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,2,4,6,5,1]=>[1,5,6,4,2,3]=>[6,2,1,3,5,4]=>[[[.,.],.],[.,[[.,.],.]]]
[3,2,5,1,4,6]=>[6,4,1,5,2,3]=>[1,3,6,2,5,4]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,2,5,1,6,4]=>[4,6,1,5,2,3]=>[3,1,6,2,5,4]=>[[.,.],[[.,.],[[.,.],.]]]
[3,2,5,4,1,6]=>[6,1,4,5,2,3]=>[1,6,3,2,5,4]=>[.,[[[.,.],.],[[.,.],.]]]
[3,2,5,4,6,1]=>[1,6,4,5,2,3]=>[6,1,3,2,5,4]=>[[.,.],[[.,.],[[.,.],.]]]
[3,2,5,6,1,4]=>[4,1,6,5,2,3]=>[3,6,1,2,5,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,2,5,6,4,1]=>[1,4,6,5,2,3]=>[6,3,1,2,5,4]=>[[[.,.],.],[.,[[.,.],.]]]
[3,2,6,1,4,5]=>[5,4,1,6,2,3]=>[2,3,6,1,5,4]=>[[.,[.,[.,.]]],[[.,.],.]]
[3,2,6,1,5,4]=>[4,5,1,6,2,3]=>[3,2,6,1,5,4]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,6,4,1,5]=>[5,1,4,6,2,3]=>[2,6,3,1,5,4]=>[[.,[[.,.],.]],[[.,.],.]]
[3,2,6,4,5,1]=>[1,5,4,6,2,3]=>[6,2,3,1,5,4]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,6,5,1,4]=>[4,1,5,6,2,3]=>[3,6,2,1,5,4]=>[[[.,[.,.]],.],[[.,.],.]]
[3,2,6,5,4,1]=>[1,4,5,6,2,3]=>[6,3,2,1,5,4]=>[[[[.,.],.],.],[[.,.],.]]
[3,4,1,2,5,6]=>[6,5,2,1,4,3]=>[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]
[3,4,1,2,6,5]=>[5,6,2,1,4,3]=>[2,1,5,6,3,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,4,1,5,2,6]=>[6,2,5,1,4,3]=>[1,5,2,6,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]
[3,4,1,5,6,2]=>[2,6,5,1,4,3]=>[5,1,2,6,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[3,4,1,6,2,5]=>[5,2,6,1,4,3]=>[2,5,1,6,3,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,4,1,6,5,2]=>[2,5,6,1,4,3]=>[5,2,1,6,3,4]=>[[[.,.],.],[[.,.],[.,.]]]
[3,4,2,1,5,6]=>[6,5,1,2,4,3]=>[1,2,6,5,3,4]=>[.,[.,[[[.,.],.],[.,.]]]]
[3,4,2,1,6,5]=>[5,6,1,2,4,3]=>[2,1,6,5,3,4]=>[[.,.],[[[.,.],.],[.,.]]]
[3,4,2,5,1,6]=>[6,1,5,2,4,3]=>[1,6,2,5,3,4]=>[.,[[.,.],[[.,.],[.,.]]]]
[3,4,2,5,6,1]=>[1,6,5,2,4,3]=>[6,1,2,5,3,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[3,4,2,6,1,5]=>[5,1,6,2,4,3]=>[2,6,1,5,3,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,4,2,6,5,1]=>[1,5,6,2,4,3]=>[6,2,1,5,3,4]=>[[[.,.],.],[[.,.],[.,.]]]
[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>[1,5,6,2,3,4]=>[.,[[.,[.,.]],[.,[.,.]]]]
[3,4,5,1,6,2]=>[2,6,1,5,4,3]=>[5,1,6,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]
[3,4,5,2,1,6]=>[6,1,2,5,4,3]=>[1,6,5,2,3,4]=>[.,[[[.,.],.],[.,[.,.]]]]
[3,4,5,2,6,1]=>[1,6,2,5,4,3]=>[6,1,5,2,3,4]=>[[.,.],[[.,.],[.,[.,.]]]]
[3,4,5,6,1,2]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[3,4,5,6,2,1]=>[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>[2,5,6,1,3,4]=>[[.,[.,[.,.]]],[.,[.,.]]]
[3,4,6,1,5,2]=>[2,5,1,6,4,3]=>[5,2,6,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[3,4,6,2,1,5]=>[5,1,2,6,4,3]=>[2,6,5,1,3,4]=>[[.,[[.,.],.]],[.,[.,.]]]
[3,4,6,2,5,1]=>[1,5,2,6,4,3]=>[6,2,5,1,3,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[3,4,6,5,1,2]=>[2,1,5,6,4,3]=>[5,6,2,1,3,4]=>[[[.,[.,.]],.],[.,[.,.]]]
[3,4,6,5,2,1]=>[1,2,5,6,4,3]=>[6,5,2,1,3,4]=>[[[[.,.],.],.],[.,[.,.]]]
[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>[1,3,5,6,2,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[3,5,1,2,6,4]=>[4,6,2,1,5,3]=>[3,1,5,6,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,5,1,4,2,6]=>[6,2,4,1,5,3]=>[1,5,3,6,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[3,5,1,4,6,2]=>[2,6,4,1,5,3]=>[5,1,3,6,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,5,1,6,2,4]=>[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,5,1,6,4,2]=>[2,4,6,1,5,3]=>[5,3,1,6,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[3,5,2,1,4,6]=>[6,4,1,2,5,3]=>[1,3,6,5,2,4]=>[.,[[.,[[.,.],.]],[.,.]]]
[3,5,2,1,6,4]=>[4,6,1,2,5,3]=>[3,1,6,5,2,4]=>[[.,.],[[[.,.],.],[.,.]]]
[3,5,2,4,1,6]=>[6,1,4,2,5,3]=>[1,6,3,5,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[3,5,2,4,6,1]=>[1,6,4,2,5,3]=>[6,1,3,5,2,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,5,2,6,1,4]=>[4,1,6,2,5,3]=>[3,6,1,5,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,5,2,6,4,1]=>[1,4,6,2,5,3]=>[6,3,1,5,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[3,5,4,1,2,6]=>[6,2,1,4,5,3]=>[1,5,6,3,2,4]=>[.,[[[.,[.,.]],.],[.,.]]]
[3,5,4,1,6,2]=>[2,6,1,4,5,3]=>[5,1,6,3,2,4]=>[[.,.],[[[.,.],.],[.,.]]]
[3,5,4,2,1,6]=>[6,1,2,4,5,3]=>[1,6,5,3,2,4]=>[.,[[[[.,.],.],.],[.,.]]]
[3,5,4,2,6,1]=>[1,6,2,4,5,3]=>[6,1,5,3,2,4]=>[[.,.],[[[.,.],.],[.,.]]]
[3,5,4,6,1,2]=>[2,1,6,4,5,3]=>[5,6,1,3,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,5,4,6,2,1]=>[1,2,6,4,5,3]=>[6,5,1,3,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>[3,5,6,1,2,4]=>[[.,[.,[.,.]]],[.,[.,.]]]
[3,5,6,1,4,2]=>[2,4,1,6,5,3]=>[5,3,6,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[3,5,6,2,1,4]=>[4,1,2,6,5,3]=>[3,6,5,1,2,4]=>[[.,[[.,.],.]],[.,[.,.]]]
[3,5,6,2,4,1]=>[1,4,2,6,5,3]=>[6,3,5,1,2,4]=>[[[.,.],[.,.]],[.,[.,.]]]
[3,5,6,4,1,2]=>[2,1,4,6,5,3]=>[5,6,3,1,2,4]=>[[[.,[.,.]],.],[.,[.,.]]]
[3,5,6,4,2,1]=>[1,2,4,6,5,3]=>[6,5,3,1,2,4]=>[[[[.,.],.],.],[.,[.,.]]]
[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>[2,3,5,6,1,4]=>[[.,[.,[.,[.,.]]]],[.,.]]
[3,6,1,2,5,4]=>[4,5,2,1,6,3]=>[3,2,5,6,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,6,1,4,2,5]=>[5,2,4,1,6,3]=>[2,5,3,6,1,4]=>[[.,[[.,.],[.,.]]],[.,.]]
[3,6,1,4,5,2]=>[2,5,4,1,6,3]=>[5,2,3,6,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,6,1,5,2,4]=>[4,2,5,1,6,3]=>[3,5,2,6,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,6,1,5,4,2]=>[2,4,5,1,6,3]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[3,6,2,1,4,5]=>[5,4,1,2,6,3]=>[2,3,6,5,1,4]=>[[.,[.,[[.,.],.]]],[.,.]]
[3,6,2,1,5,4]=>[4,5,1,2,6,3]=>[3,2,6,5,1,4]=>[[[.,.],[[.,.],.]],[.,.]]
[3,6,2,4,1,5]=>[5,1,4,2,6,3]=>[2,6,3,5,1,4]=>[[.,[[.,.],[.,.]]],[.,.]]
[3,6,2,4,5,1]=>[1,5,4,2,6,3]=>[6,2,3,5,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,6,2,5,1,4]=>[4,1,5,2,6,3]=>[3,6,2,5,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,6,2,5,4,1]=>[1,4,5,2,6,3]=>[6,3,2,5,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[3,6,4,1,2,5]=>[5,2,1,4,6,3]=>[2,5,6,3,1,4]=>[[.,[[.,[.,.]],.]],[.,.]]
[3,6,4,1,5,2]=>[2,5,1,4,6,3]=>[5,2,6,3,1,4]=>[[[.,.],[[.,.],.]],[.,.]]
[3,6,4,2,1,5]=>[5,1,2,4,6,3]=>[2,6,5,3,1,4]=>[[.,[[[.,.],.],.]],[.,.]]
[3,6,4,2,5,1]=>[1,5,2,4,6,3]=>[6,2,5,3,1,4]=>[[[.,.],[[.,.],.]],[.,.]]
[3,6,4,5,1,2]=>[2,1,5,4,6,3]=>[5,6,2,3,1,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,6,4,5,2,1]=>[1,2,5,4,6,3]=>[6,5,2,3,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[3,6,5,1,2,4]=>[4,2,1,5,6,3]=>[3,5,6,2,1,4]=>[[[.,[.,[.,.]]],.],[.,.]]
[3,6,5,1,4,2]=>[2,4,1,5,6,3]=>[5,3,6,2,1,4]=>[[[[.,.],[.,.]],.],[.,.]]
[3,6,5,2,1,4]=>[4,1,2,5,6,3]=>[3,6,5,2,1,4]=>[[[.,[[.,.],.]],.],[.,.]]
[3,6,5,2,4,1]=>[1,4,2,5,6,3]=>[6,3,5,2,1,4]=>[[[[.,.],[.,.]],.],[.,.]]
[3,6,5,4,1,2]=>[2,1,4,5,6,3]=>[5,6,3,2,1,4]=>[[[[.,[.,.]],.],.],[.,.]]
[3,6,5,4,2,1]=>[1,2,4,5,6,3]=>[6,5,3,2,1,4]=>[[[[[.,.],.],.],.],[.,.]]
[4,1,2,3,5,6]=>[6,5,3,2,1,4]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
[4,1,2,3,6,5]=>[5,6,3,2,1,4]=>[2,1,4,5,6,3]=>[[.,.],[[.,[.,[.,.]]],.]]
[4,1,2,5,3,6]=>[6,3,5,2,1,4]=>[1,4,2,5,6,3]=>[.,[[.,.],[[.,[.,.]],.]]]
[4,1,2,5,6,3]=>[3,6,5,2,1,4]=>[4,1,2,5,6,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[4,1,2,6,3,5]=>[5,3,6,2,1,4]=>[2,4,1,5,6,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[4,1,2,6,5,3]=>[3,5,6,2,1,4]=>[4,2,1,5,6,3]=>[[[.,.],.],[[.,[.,.]],.]]
[4,1,3,2,5,6]=>[6,5,2,3,1,4]=>[1,2,5,4,6,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[4,1,3,2,6,5]=>[5,6,2,3,1,4]=>[2,1,5,4,6,3]=>[[.,.],[[[.,.],[.,.]],.]]
[4,1,3,5,2,6]=>[6,2,5,3,1,4]=>[1,5,2,4,6,3]=>[.,[[.,.],[[.,[.,.]],.]]]
[4,1,3,5,6,2]=>[2,6,5,3,1,4]=>[5,1,2,4,6,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[4,1,3,6,2,5]=>[5,2,6,3,1,4]=>[2,5,1,4,6,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[4,1,3,6,5,2]=>[2,5,6,3,1,4]=>[5,2,1,4,6,3]=>[[[.,.],.],[[.,[.,.]],.]]
[4,1,5,2,3,6]=>[6,3,2,5,1,4]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[4,1,5,2,6,3]=>[3,6,2,5,1,4]=>[4,1,5,2,6,3]=>[[.,.],[[.,.],[[.,.],.]]]
[4,1,5,3,2,6]=>[6,2,3,5,1,4]=>[1,5,4,2,6,3]=>[.,[[[.,.],.],[[.,.],.]]]
[4,1,5,3,6,2]=>[2,6,3,5,1,4]=>[5,1,4,2,6,3]=>[[.,.],[[.,.],[[.,.],.]]]
[4,1,5,6,2,3]=>[3,2,6,5,1,4]=>[4,5,1,2,6,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,1,5,6,3,2]=>[2,3,6,5,1,4]=>[5,4,1,2,6,3]=>[[[.,.],.],[.,[[.,.],.]]]
[4,1,6,2,3,5]=>[5,3,2,6,1,4]=>[2,4,5,1,6,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[4,1,6,2,5,3]=>[3,5,2,6,1,4]=>[4,2,5,1,6,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,1,6,3,2,5]=>[5,2,3,6,1,4]=>[2,5,4,1,6,3]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,6,3,5,2]=>[2,5,3,6,1,4]=>[5,2,4,1,6,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,1,6,5,2,3]=>[3,2,5,6,1,4]=>[4,5,2,1,6,3]=>[[[.,[.,.]],.],[[.,.],.]]
[4,1,6,5,3,2]=>[2,3,5,6,1,4]=>[5,4,2,1,6,3]=>[[[[.,.],.],.],[[.,.],.]]
[4,2,1,3,5,6]=>[6,5,3,1,2,4]=>[1,2,4,6,5,3]=>[.,[.,[[.,[[.,.],.]],.]]]
[4,2,1,3,6,5]=>[5,6,3,1,2,4]=>[2,1,4,6,5,3]=>[[.,.],[[.,[[.,.],.]],.]]
[4,2,1,5,3,6]=>[6,3,5,1,2,4]=>[1,4,2,6,5,3]=>[.,[[.,.],[[[.,.],.],.]]]
[4,2,1,5,6,3]=>[3,6,5,1,2,4]=>[4,1,2,6,5,3]=>[[.,.],[.,[[[.,.],.],.]]]
[4,2,1,6,3,5]=>[5,3,6,1,2,4]=>[2,4,1,6,5,3]=>[[.,[.,.]],[[[.,.],.],.]]
[4,2,1,6,5,3]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,3,1,5,6]=>[6,5,1,3,2,4]=>[1,2,6,4,5,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[4,2,3,1,6,5]=>[5,6,1,3,2,4]=>[2,1,6,4,5,3]=>[[.,.],[[[.,.],[.,.]],.]]
[4,2,3,5,1,6]=>[6,1,5,3,2,4]=>[1,6,2,4,5,3]=>[.,[[.,.],[[.,[.,.]],.]]]
[4,2,3,5,6,1]=>[1,6,5,3,2,4]=>[6,1,2,4,5,3]=>[[.,.],[.,[[.,[.,.]],.]]]
[4,2,3,6,1,5]=>[5,1,6,3,2,4]=>[2,6,1,4,5,3]=>[[.,[.,.]],[[.,[.,.]],.]]
[4,2,3,6,5,1]=>[1,5,6,3,2,4]=>[6,2,1,4,5,3]=>[[[.,.],.],[[.,[.,.]],.]]
[4,2,5,1,3,6]=>[6,3,1,5,2,4]=>[1,4,6,2,5,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[4,2,5,1,6,3]=>[3,6,1,5,2,4]=>[4,1,6,2,5,3]=>[[.,.],[[.,.],[[.,.],.]]]
[4,2,5,3,1,6]=>[6,1,3,5,2,4]=>[1,6,4,2,5,3]=>[.,[[[.,.],.],[[.,.],.]]]
[4,2,5,3,6,1]=>[1,6,3,5,2,4]=>[6,1,4,2,5,3]=>[[.,.],[[.,.],[[.,.],.]]]
[4,2,5,6,1,3]=>[3,1,6,5,2,4]=>[4,6,1,2,5,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,2,5,6,3,1]=>[1,3,6,5,2,4]=>[6,4,1,2,5,3]=>[[[.,.],.],[.,[[.,.],.]]]
[4,2,6,1,3,5]=>[5,3,1,6,2,4]=>[2,4,6,1,5,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,3,1,5]=>[5,1,3,6,2,4]=>[2,6,4,1,5,3]=>[[.,[[.,.],.]],[[.,.],.]]
[4,2,6,3,5,1]=>[1,5,3,6,2,4]=>[6,2,4,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,5,1,3]=>[3,1,5,6,2,4]=>[4,6,2,1,5,3]=>[[[.,[.,.]],.],[[.,.],.]]
[4,2,6,5,3,1]=>[1,3,5,6,2,4]=>[6,4,2,1,5,3]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,1,2,5,6]=>[6,5,2,1,3,4]=>[1,2,5,6,4,3]=>[.,[.,[[[.,[.,.]],.],.]]]
[4,3,1,2,6,5]=>[5,6,2,1,3,4]=>[2,1,5,6,4,3]=>[[.,.],[[[.,[.,.]],.],.]]
[4,3,1,5,2,6]=>[6,2,5,1,3,4]=>[1,5,2,6,4,3]=>[.,[[.,.],[[[.,.],.],.]]]
[4,3,1,5,6,2]=>[2,6,5,1,3,4]=>[5,1,2,6,4,3]=>[[.,.],[.,[[[.,.],.],.]]]
[4,3,1,6,2,5]=>[5,2,6,1,3,4]=>[2,5,1,6,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[4,3,1,6,5,2]=>[2,5,6,1,3,4]=>[5,2,1,6,4,3]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,2,1,5,6]=>[6,5,1,2,3,4]=>[1,2,6,5,4,3]=>[.,[.,[[[[.,.],.],.],.]]]
[4,3,2,1,6,5]=>[5,6,1,2,3,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,2,5,1,6]=>[6,1,5,2,3,4]=>[1,6,2,5,4,3]=>[.,[[.,.],[[[.,.],.],.]]]
[4,3,2,5,6,1]=>[1,6,5,2,3,4]=>[6,1,2,5,4,3]=>[[.,.],[.,[[[.,.],.],.]]]
[4,3,2,6,1,5]=>[5,1,6,2,3,4]=>[2,6,1,5,4,3]=>[[.,[.,.]],[[[.,.],.],.]]
[4,3,2,6,5,1]=>[1,5,6,2,3,4]=>[6,2,1,5,4,3]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,5,1,2,6]=>[6,2,1,5,3,4]=>[1,5,6,2,4,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[4,3,5,1,6,2]=>[2,6,1,5,3,4]=>[5,1,6,2,4,3]=>[[.,.],[[.,.],[[.,.],.]]]
[4,3,5,2,1,6]=>[6,1,2,5,3,4]=>[1,6,5,2,4,3]=>[.,[[[.,.],.],[[.,.],.]]]
[4,3,5,2,6,1]=>[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>[[.,.],[[.,.],[[.,.],.]]]
[4,3,5,6,1,2]=>[2,1,6,5,3,4]=>[5,6,1,2,4,3]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,3,5,6,2,1]=>[1,2,6,5,3,4]=>[6,5,1,2,4,3]=>[[[.,.],.],[.,[[.,.],.]]]
[4,3,6,1,2,5]=>[5,2,1,6,3,4]=>[2,5,6,1,4,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[4,3,6,1,5,2]=>[2,5,1,6,3,4]=>[5,2,6,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,6,2,1,5]=>[5,1,2,6,3,4]=>[2,6,5,1,4,3]=>[[.,[[.,.],.]],[[.,.],.]]
[4,3,6,2,5,1]=>[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,6,5,1,2]=>[2,1,5,6,3,4]=>[5,6,2,1,4,3]=>[[[.,[.,.]],.],[[.,.],.]]
[4,3,6,5,2,1]=>[1,2,5,6,3,4]=>[6,5,2,1,4,3]=>[[[[.,.],.],.],[[.,.],.]]
[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>[1,4,5,6,2,3]=>[.,[[.,[.,[.,.]]],[.,.]]]
[4,5,1,2,6,3]=>[3,6,2,1,5,4]=>[4,1,5,6,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,5,1,3,2,6]=>[6,2,3,1,5,4]=>[1,5,4,6,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,5,1,3,6,2]=>[2,6,3,1,5,4]=>[5,1,4,6,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,5,1,6,2,3]=>[3,2,6,1,5,4]=>[4,5,1,6,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,5,1,6,3,2]=>[2,3,6,1,5,4]=>[5,4,1,6,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[4,5,2,1,3,6]=>[6,3,1,2,5,4]=>[1,4,6,5,2,3]=>[.,[[.,[[.,.],.]],[.,.]]]
[4,5,2,1,6,3]=>[3,6,1,2,5,4]=>[4,1,6,5,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[4,5,2,3,1,6]=>[6,1,3,2,5,4]=>[1,6,4,5,2,3]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,5,2,3,6,1]=>[1,6,3,2,5,4]=>[6,1,4,5,2,3]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,5,2,6,1,3]=>[3,1,6,2,5,4]=>[4,6,1,5,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,5,2,6,3,1]=>[1,3,6,2,5,4]=>[6,4,1,5,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[4,5,3,1,2,6]=>[6,2,1,3,5,4]=>[1,5,6,4,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]
[4,5,3,1,6,2]=>[2,6,1,3,5,4]=>[5,1,6,4,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[4,5,3,2,1,6]=>[6,1,2,3,5,4]=>[1,6,5,4,2,3]=>[.,[[[[.,.],.],.],[.,.]]]
[4,5,3,2,6,1]=>[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>[[.,.],[[[.,.],.],[.,.]]]
[4,5,3,6,1,2]=>[2,1,6,3,5,4]=>[5,6,1,4,2,3]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,5,3,6,2,1]=>[1,2,6,3,5,4]=>[6,5,1,4,2,3]=>[[[.,.],.],[[.,.],[.,.]]]
[4,5,6,1,2,3]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[4,5,6,1,3,2]=>[2,3,1,6,5,4]=>[5,4,6,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,5,6,2,1,3]=>[3,1,2,6,5,4]=>[4,6,5,1,2,3]=>[[.,[[.,.],.]],[.,[.,.]]]
[4,5,6,2,3,1]=>[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,5,6,3,1,2]=>[2,1,3,6,5,4]=>[5,6,4,1,2,3]=>[[[.,[.,.]],.],[.,[.,.]]]
[4,5,6,3,2,1]=>[1,2,3,6,5,4]=>[6,5,4,1,2,3]=>[[[[.,.],.],.],[.,[.,.]]]
[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>[2,4,5,6,1,3]=>[[.,[.,[.,[.,.]]]],[.,.]]
[4,6,1,2,5,3]=>[3,5,2,1,6,4]=>[4,2,5,6,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,6,1,3,2,5]=>[5,2,3,1,6,4]=>[2,5,4,6,1,3]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,6,1,3,5,2]=>[2,5,3,1,6,4]=>[5,2,4,6,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,6,1,5,2,3]=>[3,2,5,1,6,4]=>[4,5,2,6,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,6,1,5,3,2]=>[2,3,5,1,6,4]=>[5,4,2,6,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[4,6,2,1,3,5]=>[5,3,1,2,6,4]=>[2,4,6,5,1,3]=>[[.,[.,[[.,.],.]]],[.,.]]
[4,6,2,1,5,3]=>[3,5,1,2,6,4]=>[4,2,6,5,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,6,2,3,1,5]=>[5,1,3,2,6,4]=>[2,6,4,5,1,3]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,6,2,3,5,1]=>[1,5,3,2,6,4]=>[6,2,4,5,1,3]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,6,2,5,1,3]=>[3,1,5,2,6,4]=>[4,6,2,5,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,6,2,5,3,1]=>[1,3,5,2,6,4]=>[6,4,2,5,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[4,6,3,1,2,5]=>[5,2,1,3,6,4]=>[2,5,6,4,1,3]=>[[.,[[.,[.,.]],.]],[.,.]]
[4,6,3,1,5,2]=>[2,5,1,3,6,4]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,6,3,2,1,5]=>[5,1,2,3,6,4]=>[2,6,5,4,1,3]=>[[.,[[[.,.],.],.]],[.,.]]
[4,6,3,2,5,1]=>[1,5,2,3,6,4]=>[6,2,5,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,6,3,5,1,2]=>[2,1,5,3,6,4]=>[5,6,2,4,1,3]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,6,3,5,2,1]=>[1,2,5,3,6,4]=>[6,5,2,4,1,3]=>[[[[.,.],.],[.,.]],[.,.]]
[4,6,5,1,2,3]=>[3,2,1,5,6,4]=>[4,5,6,2,1,3]=>[[[.,[.,[.,.]]],.],[.,.]]
[4,6,5,1,3,2]=>[2,3,1,5,6,4]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[4,6,5,2,1,3]=>[3,1,2,5,6,4]=>[4,6,5,2,1,3]=>[[[.,[[.,.],.]],.],[.,.]]
[4,6,5,2,3,1]=>[1,3,2,5,6,4]=>[6,4,5,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[4,6,5,3,1,2]=>[2,1,3,5,6,4]=>[5,6,4,2,1,3]=>[[[[.,[.,.]],.],.],[.,.]]
[4,6,5,3,2,1]=>[1,2,3,5,6,4]=>[6,5,4,2,1,3]=>[[[[[.,.],.],.],.],[.,.]]
[5,1,2,3,4,6]=>[6,4,3,2,1,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[5,1,2,3,6,4]=>[4,6,3,2,1,5]=>[3,1,4,5,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[5,1,2,4,3,6]=>[6,3,4,2,1,5]=>[1,4,3,5,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[5,1,2,4,6,3]=>[3,6,4,2,1,5]=>[4,1,3,5,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[5,1,2,6,3,4]=>[4,3,6,2,1,5]=>[3,4,1,5,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[5,1,2,6,4,3]=>[3,4,6,2,1,5]=>[4,3,1,5,6,2]=>[[[.,.],.],[[.,[.,.]],.]]
[5,1,3,2,4,6]=>[6,4,2,3,1,5]=>[1,3,5,4,6,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[5,1,3,2,6,4]=>[4,6,2,3,1,5]=>[3,1,5,4,6,2]=>[[.,.],[[[.,.],[.,.]],.]]
[5,1,3,4,2,6]=>[6,2,4,3,1,5]=>[1,5,3,4,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[5,1,3,4,6,2]=>[2,6,4,3,1,5]=>[5,1,3,4,6,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[5,1,3,6,2,4]=>[4,2,6,3,1,5]=>[3,5,1,4,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[5,1,3,6,4,2]=>[2,4,6,3,1,5]=>[5,3,1,4,6,2]=>[[[.,.],.],[[.,[.,.]],.]]
[5,1,4,2,3,6]=>[6,3,2,4,1,5]=>[1,4,5,3,6,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[5,1,4,2,6,3]=>[3,6,2,4,1,5]=>[4,1,5,3,6,2]=>[[.,.],[[[.,.],[.,.]],.]]
[5,1,4,3,2,6]=>[6,2,3,4,1,5]=>[1,5,4,3,6,2]=>[.,[[[[.,.],.],[.,.]],.]]
[5,1,4,3,6,2]=>[2,6,3,4,1,5]=>[5,1,4,3,6,2]=>[[.,.],[[[.,.],[.,.]],.]]
[5,1,4,6,2,3]=>[3,2,6,4,1,5]=>[4,5,1,3,6,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[5,1,4,6,3,2]=>[2,3,6,4,1,5]=>[5,4,1,3,6,2]=>[[[.,.],.],[[.,[.,.]],.]]
[5,1,6,2,3,4]=>[4,3,2,6,1,5]=>[3,4,5,1,6,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[5,1,6,2,4,3]=>[3,4,2,6,1,5]=>[4,3,5,1,6,2]=>[[[.,.],[.,.]],[[.,.],.]]
[5,1,6,3,2,4]=>[4,2,3,6,1,5]=>[3,5,4,1,6,2]=>[[.,[[.,.],.]],[[.,.],.]]
[5,1,6,3,4,2]=>[2,4,3,6,1,5]=>[5,3,4,1,6,2]=>[[[.,.],[.,.]],[[.,.],.]]
[5,1,6,4,2,3]=>[3,2,4,6,1,5]=>[4,5,3,1,6,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,1,6,4,3,2]=>[2,3,4,6,1,5]=>[5,4,3,1,6,2]=>[[[[.,.],.],.],[[.,.],.]]
[5,2,1,3,4,6]=>[6,4,3,1,2,5]=>[1,3,4,6,5,2]=>[.,[[.,[.,[[.,.],.]]],.]]
[5,2,1,3,6,4]=>[4,6,3,1,2,5]=>[3,1,4,6,5,2]=>[[.,.],[[.,[[.,.],.]],.]]
[5,2,1,4,3,6]=>[6,3,4,1,2,5]=>[1,4,3,6,5,2]=>[.,[[[.,.],[[.,.],.]],.]]
[5,2,1,4,6,3]=>[3,6,4,1,2,5]=>[4,1,3,6,5,2]=>[[.,.],[[.,[[.,.],.]],.]]
[5,2,1,6,3,4]=>[4,3,6,1,2,5]=>[3,4,1,6,5,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,2,1,6,4,3]=>[3,4,6,1,2,5]=>[4,3,1,6,5,2]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,3,1,4,6]=>[6,4,1,3,2,5]=>[1,3,6,4,5,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[5,2,3,1,6,4]=>[4,6,1,3,2,5]=>[3,1,6,4,5,2]=>[[.,.],[[[.,.],[.,.]],.]]
[5,2,3,4,1,6]=>[6,1,4,3,2,5]=>[1,6,3,4,5,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[5,2,3,4,6,1]=>[1,6,4,3,2,5]=>[6,1,3,4,5,2]=>[[.,.],[[.,[.,[.,.]]],.]]
[5,2,3,6,1,4]=>[4,1,6,3,2,5]=>[3,6,1,4,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[5,2,3,6,4,1]=>[1,4,6,3,2,5]=>[6,3,1,4,5,2]=>[[[.,.],.],[[.,[.,.]],.]]
[5,2,4,1,3,6]=>[6,3,1,4,2,5]=>[1,4,6,3,5,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[5,2,4,1,6,3]=>[3,6,1,4,2,5]=>[4,1,6,3,5,2]=>[[.,.],[[[.,.],[.,.]],.]]
[5,2,4,3,1,6]=>[6,1,3,4,2,5]=>[1,6,4,3,5,2]=>[.,[[[[.,.],.],[.,.]],.]]
[5,2,4,3,6,1]=>[1,6,3,4,2,5]=>[6,1,4,3,5,2]=>[[.,.],[[[.,.],[.,.]],.]]
[5,2,4,6,1,3]=>[3,1,6,4,2,5]=>[4,6,1,3,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[5,2,4,6,3,1]=>[1,3,6,4,2,5]=>[6,4,1,3,5,2]=>[[[.,.],.],[[.,[.,.]],.]]
[5,2,6,1,3,4]=>[4,3,1,6,2,5]=>[3,4,6,1,5,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[5,2,6,1,4,3]=>[3,4,1,6,2,5]=>[4,3,6,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,6,3,1,4]=>[4,1,3,6,2,5]=>[3,6,4,1,5,2]=>[[.,[[.,.],.]],[[.,.],.]]
[5,2,6,3,4,1]=>[1,4,3,6,2,5]=>[6,3,4,1,5,2]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,6,4,1,3]=>[3,1,4,6,2,5]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,2,6,4,3,1]=>[1,3,4,6,2,5]=>[6,4,3,1,5,2]=>[[[[.,.],.],.],[[.,.],.]]
[5,3,1,2,4,6]=>[6,4,2,1,3,5]=>[1,3,5,6,4,2]=>[.,[[.,[[.,[.,.]],.]],.]]
[5,3,1,2,6,4]=>[4,6,2,1,3,5]=>[3,1,5,6,4,2]=>[[.,.],[[[.,[.,.]],.],.]]
[5,3,1,4,2,6]=>[6,2,4,1,3,5]=>[1,5,3,6,4,2]=>[.,[[[.,.],[[.,.],.]],.]]
[5,3,1,4,6,2]=>[2,6,4,1,3,5]=>[5,1,3,6,4,2]=>[[.,.],[[.,[[.,.],.]],.]]
[5,3,1,6,2,4]=>[4,2,6,1,3,5]=>[3,5,1,6,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,3,1,6,4,2]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,2,1,4,6]=>[6,4,1,2,3,5]=>[1,3,6,5,4,2]=>[.,[[.,[[[.,.],.],.]],.]]
[5,3,2,1,6,4]=>[4,6,1,2,3,5]=>[3,1,6,5,4,2]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,2,4,1,6]=>[6,1,4,2,3,5]=>[1,6,3,5,4,2]=>[.,[[[.,.],[[.,.],.]],.]]
[5,3,2,4,6,1]=>[1,6,4,2,3,5]=>[6,1,3,5,4,2]=>[[.,.],[[.,[[.,.],.]],.]]
[5,3,2,6,1,4]=>[4,1,6,2,3,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,3,2,6,4,1]=>[1,4,6,2,3,5]=>[6,3,1,5,4,2]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,4,1,2,6]=>[6,2,1,4,3,5]=>[1,5,6,3,4,2]=>[.,[[[.,[.,.]],[.,.]],.]]
[5,3,4,1,6,2]=>[2,6,1,4,3,5]=>[5,1,6,3,4,2]=>[[.,.],[[[.,.],[.,.]],.]]
[5,3,4,2,1,6]=>[6,1,2,4,3,5]=>[1,6,5,3,4,2]=>[.,[[[[.,.],.],[.,.]],.]]
[5,3,4,2,6,1]=>[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>[[.,.],[[[.,.],[.,.]],.]]
[5,3,4,6,1,2]=>[2,1,6,4,3,5]=>[5,6,1,3,4,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[5,3,4,6,2,1]=>[1,2,6,4,3,5]=>[6,5,1,3,4,2]=>[[[.,.],.],[[.,[.,.]],.]]
[5,3,6,1,2,4]=>[4,2,1,6,3,5]=>[3,5,6,1,4,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[5,3,6,1,4,2]=>[2,4,1,6,3,5]=>[5,3,6,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,6,2,1,4]=>[4,1,2,6,3,5]=>[3,6,5,1,4,2]=>[[.,[[.,.],.]],[[.,.],.]]
[5,3,6,2,4,1]=>[1,4,2,6,3,5]=>[6,3,5,1,4,2]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,6,4,1,2]=>[2,1,4,6,3,5]=>[5,6,3,1,4,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,3,6,4,2,1]=>[1,2,4,6,3,5]=>[6,5,3,1,4,2]=>[[[[.,.],.],.],[[.,.],.]]
[5,4,1,2,3,6]=>[6,3,2,1,4,5]=>[1,4,5,6,3,2]=>[.,[[[.,[.,[.,.]]],.],.]]
[5,4,1,2,6,3]=>[3,6,2,1,4,5]=>[4,1,5,6,3,2]=>[[.,.],[[[.,[.,.]],.],.]]
[5,4,1,3,2,6]=>[6,2,3,1,4,5]=>[1,5,4,6,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[5,4,1,3,6,2]=>[2,6,3,1,4,5]=>[5,1,4,6,3,2]=>[[.,.],[[[.,[.,.]],.],.]]
[5,4,1,6,2,3]=>[3,2,6,1,4,5]=>[4,5,1,6,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,4,1,6,3,2]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,2,1,3,6]=>[6,3,1,2,4,5]=>[1,4,6,5,3,2]=>[.,[[[.,[[.,.],.]],.],.]]
[5,4,2,1,6,3]=>[3,6,1,2,4,5]=>[4,1,6,5,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[5,4,2,3,1,6]=>[6,1,3,2,4,5]=>[1,6,4,5,3,2]=>[.,[[[[.,.],[.,.]],.],.]]
[5,4,2,3,6,1]=>[1,6,3,2,4,5]=>[6,1,4,5,3,2]=>[[.,.],[[[.,[.,.]],.],.]]
[5,4,2,6,1,3]=>[3,1,6,2,4,5]=>[4,6,1,5,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,4,2,6,3,1]=>[1,3,6,2,4,5]=>[6,4,1,5,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,3,1,2,6]=>[6,2,1,3,4,5]=>[1,5,6,4,3,2]=>[.,[[[[.,[.,.]],.],.],.]]
[5,4,3,1,6,2]=>[2,6,1,3,4,5]=>[5,1,6,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[5,4,3,2,1,6]=>[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[5,4,3,2,6,1]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,.],[[[[.,.],.],.],.]]
[5,4,3,6,1,2]=>[2,1,6,3,4,5]=>[5,6,1,4,3,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,4,3,6,2,1]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,6,1,2,3]=>[3,2,1,6,4,5]=>[4,5,6,1,3,2]=>[[.,[.,[.,.]]],[[.,.],.]]
[5,4,6,1,3,2]=>[2,3,1,6,4,5]=>[5,4,6,1,3,2]=>[[[.,.],[.,.]],[[.,.],.]]
[5,4,6,2,1,3]=>[3,1,2,6,4,5]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[5,4,6,2,3,1]=>[1,3,2,6,4,5]=>[6,4,5,1,3,2]=>[[[.,.],[.,.]],[[.,.],.]]
[5,4,6,3,1,2]=>[2,1,3,6,4,5]=>[5,6,4,1,3,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,4,6,3,2,1]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>[[[[.,.],.],.],[[.,.],.]]
[5,6,1,2,3,4]=>[4,3,2,1,6,5]=>[3,4,5,6,1,2]=>[[.,[.,[.,[.,.]]]],[.,.]]
[5,6,1,2,4,3]=>[3,4,2,1,6,5]=>[4,3,5,6,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,6,1,3,2,4]=>[4,2,3,1,6,5]=>[3,5,4,6,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,6,1,3,4,2]=>[2,4,3,1,6,5]=>[5,3,4,6,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,6,1,4,2,3]=>[3,2,4,1,6,5]=>[4,5,3,6,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,6,1,4,3,2]=>[2,3,4,1,6,5]=>[5,4,3,6,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[5,6,2,1,3,4]=>[4,3,1,2,6,5]=>[3,4,6,5,1,2]=>[[.,[.,[[.,.],.]]],[.,.]]
[5,6,2,1,4,3]=>[3,4,1,2,6,5]=>[4,3,6,5,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,2,3,1,4]=>[4,1,3,2,6,5]=>[3,6,4,5,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,6,2,3,4,1]=>[1,4,3,2,6,5]=>[6,3,4,5,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,6,2,4,1,3]=>[3,1,4,2,6,5]=>[4,6,3,5,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,6,2,4,3,1]=>[1,3,4,2,6,5]=>[6,4,3,5,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[5,6,3,1,2,4]=>[4,2,1,3,6,5]=>[3,5,6,4,1,2]=>[[.,[[.,[.,.]],.]],[.,.]]
[5,6,3,1,4,2]=>[2,4,1,3,6,5]=>[5,3,6,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,3,2,1,4]=>[4,1,2,3,6,5]=>[3,6,5,4,1,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,6,3,2,4,1]=>[1,4,2,3,6,5]=>[6,3,5,4,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,6,3,4,2,1]=>[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[5,6,4,1,2,3]=>[3,2,1,4,6,5]=>[4,5,6,3,1,2]=>[[[.,[.,[.,.]]],.],[.,.]]
[5,6,4,1,3,2]=>[2,3,1,4,6,5]=>[5,4,6,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]
[5,6,4,2,1,3]=>[3,1,2,4,6,5]=>[4,6,5,3,1,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,6,4,2,3,1]=>[1,3,2,4,6,5]=>[6,4,5,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]
[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,6,4,3,2,1]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>[[[[[.,.],.],.],.],[.,.]]
[6,1,2,3,4,5]=>[5,4,3,2,1,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[6,1,2,3,5,4]=>[4,5,3,2,1,6]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,1,2,4,3,5]=>[5,3,4,2,1,6]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,1,2,4,5,3]=>[3,5,4,2,1,6]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,1,2,5,3,4]=>[4,3,5,2,1,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[6,1,2,5,4,3]=>[3,4,5,2,1,6]=>[4,3,2,5,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[6,1,3,2,4,5]=>[5,4,2,3,1,6]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,1,3,2,5,4]=>[4,5,2,3,1,6]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,1,3,4,2,5]=>[5,2,4,3,1,6]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,1,3,4,5,2]=>[2,5,4,3,1,6]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,1,3,5,2,4]=>[4,2,5,3,1,6]=>[3,5,2,4,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[6,1,3,5,4,2]=>[2,4,5,3,1,6]=>[5,3,2,4,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[6,1,4,2,3,5]=>[5,3,2,4,1,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[6,1,4,2,5,3]=>[3,5,2,4,1,6]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,1,4,3,2,5]=>[5,2,3,4,1,6]=>[2,5,4,3,6,1]=>[[.,[[[.,.],.],[.,.]]],.]
[6,1,4,3,5,2]=>[2,5,3,4,1,6]=>[5,2,4,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,1,4,5,2,3]=>[3,2,5,4,1,6]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[6,1,4,5,3,2]=>[2,3,5,4,1,6]=>[5,4,2,3,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[6,1,5,2,3,4]=>[4,3,2,5,1,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[6,1,5,2,4,3]=>[3,4,2,5,1,6]=>[4,3,5,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,1,5,3,2,4]=>[4,2,3,5,1,6]=>[3,5,4,2,6,1]=>[[[.,[[.,.],.]],[.,.]],.]
[6,1,5,3,4,2]=>[2,4,3,5,1,6]=>[5,3,4,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,1,5,4,2,3]=>[3,2,4,5,1,6]=>[4,5,3,2,6,1]=>[[[[.,[.,.]],.],[.,.]],.]
[6,1,5,4,3,2]=>[2,3,4,5,1,6]=>[5,4,3,2,6,1]=>[[[[[.,.],.],.],[.,.]],.]
[6,2,1,3,4,5]=>[5,4,3,1,2,6]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[6,2,1,3,5,4]=>[4,5,3,1,2,6]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[6,2,1,4,3,5]=>[5,3,4,1,2,6]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[6,2,1,4,5,3]=>[3,5,4,1,2,6]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[6,2,1,5,3,4]=>[4,3,5,1,2,6]=>[3,4,2,6,5,1]=>[[[.,[.,.]],[[.,.],.]],.]
[6,2,1,5,4,3]=>[3,4,5,1,2,6]=>[4,3,2,6,5,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,2,3,1,4,5]=>[5,4,1,3,2,6]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,2,3,1,5,4]=>[4,5,1,3,2,6]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,2,3,4,1,5]=>[5,1,4,3,2,6]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,2,3,4,5,1]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,2,3,5,1,4]=>[4,1,5,3,2,6]=>[3,6,2,4,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[6,2,3,5,4,1]=>[1,4,5,3,2,6]=>[6,3,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],.]
[6,2,4,1,3,5]=>[5,3,1,4,2,6]=>[2,4,6,3,5,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[6,2,4,1,5,3]=>[3,5,1,4,2,6]=>[4,2,6,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,2,4,3,1,5]=>[5,1,3,4,2,6]=>[2,6,4,3,5,1]=>[[.,[[[.,.],.],[.,.]]],.]
[6,2,4,3,5,1]=>[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,2,4,5,1,3]=>[3,1,5,4,2,6]=>[4,6,2,3,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[6,2,4,5,3,1]=>[1,3,5,4,2,6]=>[6,4,2,3,5,1]=>[[[[.,.],.],[.,[.,.]]],.]
[6,2,5,1,3,4]=>[4,3,1,5,2,6]=>[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[6,2,5,1,4,3]=>[3,4,1,5,2,6]=>[4,3,6,2,5,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,2,5,3,1,4]=>[4,1,3,5,2,6]=>[3,6,4,2,5,1]=>[[[.,[[.,.],.]],[.,.]],.]
[6,2,5,3,4,1]=>[1,4,3,5,2,6]=>[6,3,4,2,5,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,2,5,4,1,3]=>[3,1,4,5,2,6]=>[4,6,3,2,5,1]=>[[[[.,[.,.]],.],[.,.]],.]
[6,2,5,4,3,1]=>[1,3,4,5,2,6]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[6,3,1,2,4,5]=>[5,4,2,1,3,6]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[6,3,1,2,5,4]=>[4,5,2,1,3,6]=>[3,2,5,6,4,1]=>[[[.,.],[[.,[.,.]],.]],.]
[6,3,1,4,2,5]=>[5,2,4,1,3,6]=>[2,5,3,6,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[6,3,1,4,5,2]=>[2,5,4,1,3,6]=>[5,2,3,6,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[6,3,1,5,2,4]=>[4,2,5,1,3,6]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,1,5,4,2]=>[2,4,5,1,3,6]=>[5,3,2,6,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,3,2,1,4,5]=>[5,4,1,2,3,6]=>[2,3,6,5,4,1]=>[[.,[.,[[[.,.],.],.]]],.]
[6,3,2,1,5,4]=>[4,5,1,2,3,6]=>[3,2,6,5,4,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,3,2,4,1,5]=>[5,1,4,2,3,6]=>[2,6,3,5,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[6,3,2,4,5,1]=>[1,5,4,2,3,6]=>[6,2,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[6,3,2,5,1,4]=>[4,1,5,2,3,6]=>[3,6,2,5,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[6,3,2,5,4,1]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,3,4,1,2,5]=>[5,2,1,4,3,6]=>[2,5,6,3,4,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[6,3,4,1,5,2]=>[2,5,1,4,3,6]=>[5,2,6,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,3,4,2,1,5]=>[5,1,2,4,3,6]=>[2,6,5,3,4,1]=>[[.,[[[.,.],.],[.,.]]],.]
[6,3,4,2,5,1]=>[1,5,2,4,3,6]=>[6,2,5,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,3,4,5,1,2]=>[2,1,5,4,3,6]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[6,3,4,5,2,1]=>[1,2,5,4,3,6]=>[6,5,2,3,4,1]=>[[[[.,.],.],[.,[.,.]]],.]
[6,3,5,1,2,4]=>[4,2,1,5,3,6]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[6,3,5,1,4,2]=>[2,4,1,5,3,6]=>[5,3,6,2,4,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,3,5,2,1,4]=>[4,1,2,5,3,6]=>[3,6,5,2,4,1]=>[[[.,[[.,.],.]],[.,.]],.]
[6,3,5,2,4,1]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,3,5,4,1,2]=>[2,1,4,5,3,6]=>[5,6,3,2,4,1]=>[[[[.,[.,.]],.],[.,.]],.]
[6,3,5,4,2,1]=>[1,2,4,5,3,6]=>[6,5,3,2,4,1]=>[[[[[.,.],.],.],[.,.]],.]
[6,4,1,2,3,5]=>[5,3,2,1,4,6]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[6,4,1,2,5,3]=>[3,5,2,1,4,6]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[6,4,1,3,2,5]=>[5,2,3,1,4,6]=>[2,5,4,6,3,1]=>[[.,[[[.,.],[.,.]],.]],.]
[6,4,1,3,5,2]=>[2,5,3,1,4,6]=>[5,2,4,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[6,4,1,5,2,3]=>[3,2,5,1,4,6]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[6,4,1,5,3,2]=>[2,3,5,1,4,6]=>[5,4,2,6,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,4,2,1,3,5]=>[5,3,1,2,4,6]=>[2,4,6,5,3,1]=>[[.,[[.,[[.,.],.]],.]],.]
[6,4,2,1,5,3]=>[3,5,1,2,4,6]=>[4,2,6,5,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,4,2,3,1,5]=>[5,1,3,2,4,6]=>[2,6,4,5,3,1]=>[[.,[[[.,.],[.,.]],.]],.]
[6,4,2,3,5,1]=>[1,5,3,2,4,6]=>[6,2,4,5,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[6,4,2,5,1,3]=>[3,1,5,2,4,6]=>[4,6,2,5,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[6,4,2,5,3,1]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,4,3,1,2,5]=>[5,2,1,3,4,6]=>[2,5,6,4,3,1]=>[[.,[[[.,[.,.]],.],.]],.]
[6,4,3,1,5,2]=>[2,5,1,3,4,6]=>[5,2,6,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,4,3,2,1,5]=>[5,1,2,3,4,6]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[6,4,3,2,5,1]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,4,3,5,1,2]=>[2,1,5,3,4,6]=>[5,6,2,4,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[6,4,3,5,2,1]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,4,5,1,2,3]=>[3,2,1,5,4,6]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[6,4,5,1,3,2]=>[2,3,1,5,4,6]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,4,5,2,1,3]=>[3,1,2,5,4,6]=>[4,6,5,2,3,1]=>[[[.,[[.,.],.]],[.,.]],.]
[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,4,5,3,1,2]=>[2,1,3,5,4,6]=>[5,6,4,2,3,1]=>[[[[.,[.,.]],.],[.,.]],.]
[6,4,5,3,2,1]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>[[[[[.,.],.],.],[.,.]],.]
[6,5,1,2,3,4]=>[4,3,2,1,5,6]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[6,5,1,2,4,3]=>[3,4,2,1,5,6]=>[4,3,5,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[6,5,1,3,2,4]=>[4,2,3,1,5,6]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[6,5,1,3,4,2]=>[2,4,3,1,5,6]=>[5,3,4,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[6,5,1,4,2,3]=>[3,2,4,1,5,6]=>[4,5,3,6,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[6,5,1,4,3,2]=>[2,3,4,1,5,6]=>[5,4,3,6,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[6,5,2,1,3,4]=>[4,3,1,2,5,6]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[6,5,2,1,4,3]=>[3,4,1,2,5,6]=>[4,3,6,5,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[6,5,2,3,1,4]=>[4,1,3,2,5,6]=>[3,6,4,5,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[6,5,2,3,4,1]=>[1,4,3,2,5,6]=>[6,3,4,5,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[6,5,2,4,1,3]=>[3,1,4,2,5,6]=>[4,6,3,5,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[6,5,2,4,3,1]=>[1,3,4,2,5,6]=>[6,4,3,5,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[6,5,3,1,2,4]=>[4,2,1,3,5,6]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[6,5,3,1,4,2]=>[2,4,1,3,5,6]=>[5,3,6,4,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[6,5,3,2,1,4]=>[4,1,2,3,5,6]=>[3,6,5,4,2,1]=>[[[.,[[[.,.],.],.]],.],.]
[6,5,3,2,4,1]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[6,5,3,4,1,2]=>[2,1,4,3,5,6]=>[5,6,3,4,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[6,5,4,1,2,3]=>[3,2,1,4,5,6]=>[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.]
[6,5,4,1,3,2]=>[2,3,1,4,5,6]=>[5,4,6,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]
[6,5,4,2,1,3]=>[3,1,2,4,5,6]=>[4,6,5,3,2,1]=>[[[[.,[[.,.],.]],.],.],.]
[6,5,4,2,3,1]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]
[6,5,4,3,1,2]=>[2,1,3,4,5,6]=>[5,6,4,3,2,1]=>[[[[[.,[.,.]],.],.],.],.]
[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>[2,1,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]=>[3,1,2,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>[2,3,1,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]=>[3,2,1,4,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]=>[2,1,4,3,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,2,3,5,6,4,7]=>[7,4,6,5,3,2,1]=>[1,4,2,3,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1]=>[4,1,2,3,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,3,5,7,4,6]=>[6,4,7,5,3,2,1]=>[2,4,1,3,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[1,2,3,5,7,6,4]=>[4,6,7,5,3,2,1]=>[4,2,1,3,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>[1,3,4,2,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,2,3,6,4,7,5]=>[5,7,4,6,3,2,1]=>[3,1,4,2,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,2,3,6,5,7,4]=>[4,7,5,6,3,2,1]=>[4,1,3,2,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1]=>[3,4,1,2,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[1,2,3,6,7,5,4]=>[4,5,7,6,3,2,1]=>[4,3,1,2,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>[2,3,4,1,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1]=>[3,2,4,1,5,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,2,3,7,5,4,6]=>[6,4,5,7,3,2,1]=>[2,4,3,1,5,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[1,2,3,7,5,6,4]=>[4,6,5,7,3,2,1]=>[4,2,3,1,5,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1]=>[3,4,2,1,5,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[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]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]=>[2,1,3,5,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,2,4,3,6,7,5]=>[5,7,6,3,4,2,1]=>[3,1,2,5,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1]=>[2,3,1,5,4,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1]=>[3,2,1,5,4,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[1,2,4,5,3,7,6]=>[6,7,3,5,4,2,1]=>[2,1,5,3,4,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,2,4,5,6,3,7]=>[7,3,6,5,4,2,1]=>[1,5,2,3,4,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,2,4,5,6,7,3]=>[3,7,6,5,4,2,1]=>[5,1,2,3,4,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,2,4,5,7,3,6]=>[6,3,7,5,4,2,1]=>[2,5,1,3,4,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[1,2,4,5,7,6,3]=>[3,6,7,5,4,2,1]=>[5,2,1,3,4,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,4,6,3,5,7]=>[7,5,3,6,4,2,1]=>[1,3,5,2,4,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,2,4,6,3,7,5]=>[5,7,3,6,4,2,1]=>[3,1,5,2,4,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,2,4,6,5,3,7]=>[7,3,5,6,4,2,1]=>[1,5,3,2,4,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,2,4,6,5,7,3]=>[3,7,5,6,4,2,1]=>[5,1,3,2,4,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,2,4,6,7,3,5]=>[5,3,7,6,4,2,1]=>[3,5,1,2,4,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[1,2,4,6,7,5,3]=>[3,5,7,6,4,2,1]=>[5,3,1,2,4,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,4,7,3,5,6]=>[6,5,3,7,4,2,1]=>[2,3,5,1,4,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[1,2,4,7,3,6,5]=>[5,6,3,7,4,2,1]=>[3,2,5,1,4,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,2,4,7,5,3,6]=>[6,3,5,7,4,2,1]=>[2,5,3,1,4,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[1,2,4,7,5,6,3]=>[3,6,5,7,4,2,1]=>[5,2,3,1,4,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,2,4,7,6,3,5]=>[5,3,6,7,4,2,1]=>[3,5,2,1,4,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[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]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1]=>[2,1,4,5,3,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,2,5,3,6,4,7]=>[7,4,6,3,5,2,1]=>[1,4,2,5,3,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,2,5,3,6,7,4]=>[4,7,6,3,5,2,1]=>[4,1,2,5,3,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1]=>[2,4,1,5,3,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,2,5,3,7,6,4]=>[4,6,7,3,5,2,1]=>[4,2,1,5,3,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[1,2,5,4,3,7,6]=>[6,7,3,4,5,2,1]=>[2,1,5,4,3,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,2,5,4,6,3,7]=>[7,3,6,4,5,2,1]=>[1,5,2,4,3,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,2,5,4,6,7,3]=>[3,7,6,4,5,2,1]=>[5,1,2,4,3,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,2,5,4,7,3,6]=>[6,3,7,4,5,2,1]=>[2,5,1,4,3,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,2,5,4,7,6,3]=>[3,6,7,4,5,2,1]=>[5,2,1,4,3,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,2,5,6,3,7,4]=>[4,7,3,6,5,2,1]=>[4,1,5,2,3,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,2,5,6,4,3,7]=>[7,3,4,6,5,2,1]=>[1,5,4,2,3,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,2,5,6,4,7,3]=>[3,7,4,6,5,2,1]=>[5,1,4,2,3,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,2,5,6,7,3,4]=>[4,3,7,6,5,2,1]=>[4,5,1,2,3,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[1,2,5,6,7,4,3]=>[3,4,7,6,5,2,1]=>[5,4,1,2,3,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,5,7,3,4,6]=>[6,4,3,7,5,2,1]=>[2,4,5,1,3,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[1,2,5,7,3,6,4]=>[4,6,3,7,5,2,1]=>[4,2,5,1,3,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,2,5,7,4,3,6]=>[6,3,4,7,5,2,1]=>[2,5,4,1,3,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[1,2,5,7,4,6,3]=>[3,6,4,7,5,2,1]=>[5,2,4,1,3,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,2,5,7,6,3,4]=>[4,3,6,7,5,2,1]=>[4,5,2,1,3,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[1,2,5,7,6,4,3]=>[3,4,6,7,5,2,1]=>[5,4,2,1,3,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>[1,3,4,5,2,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,2,6,3,4,7,5]=>[5,7,4,3,6,2,1]=>[3,1,4,5,2,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,2,6,3,5,4,7]=>[7,4,5,3,6,2,1]=>[1,4,3,5,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,2,6,3,5,7,4]=>[4,7,5,3,6,2,1]=>[4,1,3,5,2,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,2,6,3,7,4,5]=>[5,4,7,3,6,2,1]=>[3,4,1,5,2,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,2,6,3,7,5,4]=>[4,5,7,3,6,2,1]=>[4,3,1,5,2,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,6,4,3,5,7]=>[7,5,3,4,6,2,1]=>[1,3,5,4,2,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[1,2,6,4,3,7,5]=>[5,7,3,4,6,2,1]=>[3,1,5,4,2,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,2,6,4,5,3,7]=>[7,3,5,4,6,2,1]=>[1,5,3,4,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,2,6,4,5,7,3]=>[3,7,5,4,6,2,1]=>[5,1,3,4,2,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,2,6,4,7,3,5]=>[5,3,7,4,6,2,1]=>[3,5,1,4,2,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,2,6,4,7,5,3]=>[3,5,7,4,6,2,1]=>[5,3,1,4,2,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,6,5,3,4,7]=>[7,4,3,5,6,2,1]=>[1,4,5,3,2,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,2,6,5,3,7,4]=>[4,7,3,5,6,2,1]=>[4,1,5,3,2,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1]=>[1,5,4,3,2,6,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[1,2,6,5,4,7,3]=>[3,7,4,5,6,2,1]=>[5,1,4,3,2,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,2,6,5,7,3,4]=>[4,3,7,5,6,2,1]=>[4,5,1,3,2,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,2,6,5,7,4,3]=>[3,4,7,5,6,2,1]=>[5,4,1,3,2,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,6,7,3,4,5]=>[5,4,3,7,6,2,1]=>[3,4,5,1,2,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[1,2,6,7,3,5,4]=>[4,5,3,7,6,2,1]=>[4,3,5,1,2,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,2,6,7,4,3,5]=>[5,3,4,7,6,2,1]=>[3,5,4,1,2,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[1,2,6,7,4,5,3]=>[3,5,4,7,6,2,1]=>[5,3,4,1,2,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,2,6,7,5,3,4]=>[4,3,5,7,6,2,1]=>[4,5,3,1,2,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[1,2,6,7,5,4,3]=>[3,4,5,7,6,2,1]=>[5,4,3,1,2,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>[2,3,4,5,1,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1]=>[3,2,4,5,1,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,2,7,3,5,4,6]=>[6,4,5,3,7,2,1]=>[2,4,3,5,1,6,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[1,2,7,3,5,6,4]=>[4,6,5,3,7,2,1]=>[4,2,3,5,1,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1]=>[3,4,2,5,1,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[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]=>[2,3,5,4,1,6,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[1,2,7,4,3,6,5]=>[5,6,3,4,7,2,1]=>[3,2,5,4,1,6,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,2,7,4,5,3,6]=>[6,3,5,4,7,2,1]=>[2,5,3,4,1,6,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[1,2,7,4,5,6,3]=>[3,6,5,4,7,2,1]=>[5,2,3,4,1,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,2,7,4,6,3,5]=>[5,3,6,4,7,2,1]=>[3,5,2,4,1,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[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]=>[2,4,5,3,1,6,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[1,2,7,5,3,6,4]=>[4,6,3,5,7,2,1]=>[4,2,5,3,1,6,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,2,7,5,4,3,6]=>[6,3,4,5,7,2,1]=>[2,5,4,3,1,6,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[1,2,7,5,4,6,3]=>[3,6,4,5,7,2,1]=>[5,2,4,3,1,6,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,2,7,5,6,3,4]=>[4,3,6,5,7,2,1]=>[4,5,2,3,1,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[1,2,7,5,6,4,3]=>[3,4,6,5,7,2,1]=>[5,4,2,3,1,6,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1]=>[3,4,5,2,1,6,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[1,2,7,6,3,5,4]=>[4,5,3,6,7,2,1]=>[4,3,5,2,1,6,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,2,7,6,4,3,5]=>[5,3,4,6,7,2,1]=>[3,5,4,2,1,6,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[1,2,7,6,4,5,3]=>[3,5,4,6,7,2,1]=>[5,3,4,2,1,6,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,2,7,6,5,3,4]=>[4,3,5,6,7,2,1]=>[4,5,3,2,1,6,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[5,4,3,2,1,6,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]=>[2,1,3,4,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,3,2,4,6,7,5]=>[5,7,6,4,2,3,1]=>[3,1,2,4,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[1,3,2,4,7,5,6]=>[6,5,7,4,2,3,1]=>[2,3,1,4,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1]=>[3,2,1,4,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1]=>[2,1,4,3,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,3,2,5,6,4,7]=>[7,4,6,5,2,3,1]=>[1,4,2,3,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,3,2,5,6,7,4]=>[4,7,6,5,2,3,1]=>[4,1,2,3,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[1,3,2,5,7,4,6]=>[6,4,7,5,2,3,1]=>[2,4,1,3,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[1,3,2,5,7,6,4]=>[4,6,7,5,2,3,1]=>[4,2,1,3,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,3,2,6,4,5,7]=>[7,5,4,6,2,3,1]=>[1,3,4,2,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,3,2,6,4,7,5]=>[5,7,4,6,2,3,1]=>[3,1,4,2,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,3,2,6,5,4,7]=>[7,4,5,6,2,3,1]=>[1,4,3,2,6,5,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,3,2,6,5,7,4]=>[4,7,5,6,2,3,1]=>[4,1,3,2,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,3,2,6,7,4,5]=>[5,4,7,6,2,3,1]=>[3,4,1,2,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[1,3,2,6,7,5,4]=>[4,5,7,6,2,3,1]=>[4,3,1,2,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1]=>[2,3,4,1,6,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[1,3,2,7,4,6,5]=>[5,6,4,7,2,3,1]=>[3,2,4,1,6,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,3,2,7,5,4,6]=>[6,4,5,7,2,3,1]=>[2,4,3,1,6,5,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[1,3,2,7,5,6,4]=>[4,6,5,7,2,3,1]=>[4,2,3,1,6,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,3,2,7,6,4,5]=>[5,4,6,7,2,3,1]=>[3,4,2,1,6,5,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[1,3,2,7,6,5,4]=>[4,5,6,7,2,3,1]=>[4,3,2,1,6,5,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[1,3,4,2,5,7,6]=>[6,7,5,2,4,3,1]=>[2,1,3,6,4,5,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,3,4,2,6,5,7]=>[7,5,6,2,4,3,1]=>[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,3,4,2,6,7,5]=>[5,7,6,2,4,3,1]=>[3,1,2,6,4,5,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,3,4,2,7,5,6]=>[6,5,7,2,4,3,1]=>[2,3,1,6,4,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,3,4,2,7,6,5]=>[5,6,7,2,4,3,1]=>[3,2,1,6,4,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[1,3,4,5,2,7,6]=>[6,7,2,5,4,3,1]=>[2,1,6,3,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,3,4,5,6,2,7]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[1,3,4,5,6,7,2]=>[2,7,6,5,4,3,1]=>[6,1,2,3,4,5,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,3,4,5,7,2,6]=>[6,2,7,5,4,3,1]=>[2,6,1,3,4,5,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[1,3,4,5,7,6,2]=>[2,6,7,5,4,3,1]=>[6,2,1,3,4,5,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,3,4,6,2,5,7]=>[7,5,2,6,4,3,1]=>[1,3,6,2,4,5,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,3,4,6,2,7,5]=>[5,7,2,6,4,3,1]=>[3,1,6,2,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,3,4,6,5,2,7]=>[7,2,5,6,4,3,1]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,3,4,6,5,7,2]=>[2,7,5,6,4,3,1]=>[6,1,3,2,4,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,3,4,6,7,2,5]=>[5,2,7,6,4,3,1]=>[3,6,1,2,4,5,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[1,3,4,6,7,5,2]=>[2,5,7,6,4,3,1]=>[6,3,1,2,4,5,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,3,4,7,2,5,6]=>[6,5,2,7,4,3,1]=>[2,3,6,1,4,5,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[1,3,4,7,2,6,5]=>[5,6,2,7,4,3,1]=>[3,2,6,1,4,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,3,4,7,5,2,6]=>[6,2,5,7,4,3,1]=>[2,6,3,1,4,5,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[1,3,4,7,5,6,2]=>[2,6,5,7,4,3,1]=>[6,2,3,1,4,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,3,4,7,6,2,5]=>[5,2,6,7,4,3,1]=>[3,6,2,1,4,5,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[1,3,4,7,6,5,2]=>[2,5,6,7,4,3,1]=>[6,3,2,1,4,5,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,3,5,2,4,6,7]=>[7,6,4,2,5,3,1]=>[1,2,4,6,3,5,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[1,3,5,2,4,7,6]=>[6,7,4,2,5,3,1]=>[2,1,4,6,3,5,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,3,5,2,6,4,7]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,3,5,2,6,7,4]=>[4,7,6,2,5,3,1]=>[4,1,2,6,3,5,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,3,5,2,7,4,6]=>[6,4,7,2,5,3,1]=>[2,4,1,6,3,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,3,5,2,7,6,4]=>[4,6,7,2,5,3,1]=>[4,2,1,6,3,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,3,5,4,2,6,7]=>[7,6,2,4,5,3,1]=>[1,2,6,4,3,5,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[1,3,5,4,2,7,6]=>[6,7,2,4,5,3,1]=>[2,1,6,4,3,5,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,3,5,4,6,2,7]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,3,5,4,6,7,2]=>[2,7,6,4,5,3,1]=>[6,1,2,4,3,5,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,3,5,4,7,2,6]=>[6,2,7,4,5,3,1]=>[2,6,1,4,3,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,3,5,4,7,6,2]=>[2,6,7,4,5,3,1]=>[6,2,1,4,3,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,3,5,6,2,4,7]=>[7,4,2,6,5,3,1]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,3,5,6,2,7,4]=>[4,7,2,6,5,3,1]=>[4,1,6,2,3,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,3,5,6,4,2,7]=>[7,2,4,6,5,3,1]=>[1,6,4,2,3,5,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,3,5,6,4,7,2]=>[2,7,4,6,5,3,1]=>[6,1,4,2,3,5,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,3,5,6,7,2,4]=>[4,2,7,6,5,3,1]=>[4,6,1,2,3,5,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[1,3,5,6,7,4,2]=>[2,4,7,6,5,3,1]=>[6,4,1,2,3,5,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,3,5,7,2,4,6]=>[6,4,2,7,5,3,1]=>[2,4,6,1,3,5,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[1,3,5,7,2,6,4]=>[4,6,2,7,5,3,1]=>[4,2,6,1,3,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,3,5,7,4,2,6]=>[6,2,4,7,5,3,1]=>[2,6,4,1,3,5,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[1,3,5,7,4,6,2]=>[2,6,4,7,5,3,1]=>[6,2,4,1,3,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,3,5,7,6,2,4]=>[4,2,6,7,5,3,1]=>[4,6,2,1,3,5,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[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]=>[1,3,4,6,2,5,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,3,6,2,4,7,5]=>[5,7,4,2,6,3,1]=>[3,1,4,6,2,5,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,3,6,2,5,4,7]=>[7,4,5,2,6,3,1]=>[1,4,3,6,2,5,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,3,6,2,5,7,4]=>[4,7,5,2,6,3,1]=>[4,1,3,6,2,5,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,3,6,2,7,4,5]=>[5,4,7,2,6,3,1]=>[3,4,1,6,2,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,3,6,2,7,5,4]=>[4,5,7,2,6,3,1]=>[4,3,1,6,2,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1]=>[1,3,6,4,2,5,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[1,3,6,4,2,7,5]=>[5,7,2,4,6,3,1]=>[3,1,6,4,2,5,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,3,6,4,5,2,7]=>[7,2,5,4,6,3,1]=>[1,6,3,4,2,5,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,3,6,4,5,7,2]=>[2,7,5,4,6,3,1]=>[6,1,3,4,2,5,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,3,6,4,7,2,5]=>[5,2,7,4,6,3,1]=>[3,6,1,4,2,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,3,6,4,7,5,2]=>[2,5,7,4,6,3,1]=>[6,3,1,4,2,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,3,6,5,2,4,7]=>[7,4,2,5,6,3,1]=>[1,4,6,3,2,5,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,3,6,5,2,7,4]=>[4,7,2,5,6,3,1]=>[4,1,6,3,2,5,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,3,6,5,4,2,7]=>[7,2,4,5,6,3,1]=>[1,6,4,3,2,5,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[1,3,6,5,4,7,2]=>[2,7,4,5,6,3,1]=>[6,1,4,3,2,5,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,3,6,5,7,2,4]=>[4,2,7,5,6,3,1]=>[4,6,1,3,2,5,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,3,6,5,7,4,2]=>[2,4,7,5,6,3,1]=>[6,4,1,3,2,5,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,3,6,7,2,4,5]=>[5,4,2,7,6,3,1]=>[3,4,6,1,2,5,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[1,3,6,7,2,5,4]=>[4,5,2,7,6,3,1]=>[4,3,6,1,2,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,3,6,7,4,2,5]=>[5,2,4,7,6,3,1]=>[3,6,4,1,2,5,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[1,3,6,7,4,5,2]=>[2,5,4,7,6,3,1]=>[6,3,4,1,2,5,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,3,6,7,5,2,4]=>[4,2,5,7,6,3,1]=>[4,6,3,1,2,5,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[1,3,6,7,5,4,2]=>[2,4,5,7,6,3,1]=>[6,4,3,1,2,5,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,3,7,2,4,5,6]=>[6,5,4,2,7,3,1]=>[2,3,4,6,1,5,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[1,3,7,2,4,6,5]=>[5,6,4,2,7,3,1]=>[3,2,4,6,1,5,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,3,7,2,5,4,6]=>[6,4,5,2,7,3,1]=>[2,4,3,6,1,5,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[1,3,7,2,5,6,4]=>[4,6,5,2,7,3,1]=>[4,2,3,6,1,5,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,3,7,2,6,4,5]=>[5,4,6,2,7,3,1]=>[3,4,2,6,1,5,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[1,3,7,2,6,5,4]=>[4,5,6,2,7,3,1]=>[4,3,2,6,1,5,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,3,7,4,2,5,6]=>[6,5,2,4,7,3,1]=>[2,3,6,4,1,5,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[1,3,7,4,2,6,5]=>[5,6,2,4,7,3,1]=>[3,2,6,4,1,5,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,3,7,4,5,2,6]=>[6,2,5,4,7,3,1]=>[2,6,3,4,1,5,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[1,3,7,4,5,6,2]=>[2,6,5,4,7,3,1]=>[6,2,3,4,1,5,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,3,7,4,6,2,5]=>[5,2,6,4,7,3,1]=>[3,6,2,4,1,5,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[1,3,7,4,6,5,2]=>[2,5,6,4,7,3,1]=>[6,3,2,4,1,5,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,3,7,5,2,4,6]=>[6,4,2,5,7,3,1]=>[2,4,6,3,1,5,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[1,3,7,5,2,6,4]=>[4,6,2,5,7,3,1]=>[4,2,6,3,1,5,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,3,7,5,4,2,6]=>[6,2,4,5,7,3,1]=>[2,6,4,3,1,5,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[1,3,7,5,4,6,2]=>[2,6,4,5,7,3,1]=>[6,2,4,3,1,5,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,3,7,5,6,2,4]=>[4,2,6,5,7,3,1]=>[4,6,2,3,1,5,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[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]=>[3,4,6,2,1,5,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[1,3,7,6,2,5,4]=>[4,5,2,6,7,3,1]=>[4,3,6,2,1,5,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,3,7,6,4,2,5]=>[5,2,4,6,7,3,1]=>[3,6,4,2,1,5,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[1,3,7,6,4,5,2]=>[2,5,4,6,7,3,1]=>[6,3,4,2,1,5,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,3,7,6,5,2,4]=>[4,2,5,6,7,3,1]=>[4,6,3,2,1,5,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[1,3,7,6,5,4,2]=>[2,4,5,6,7,3,1]=>[6,4,3,2,1,5,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[1,4,2,3,5,7,6]=>[6,7,5,3,2,4,1]=>[2,1,3,5,6,4,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[1,4,2,3,6,5,7]=>[7,5,6,3,2,4,1]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,4,2,3,6,7,5]=>[5,7,6,3,2,4,1]=>[3,1,2,5,6,4,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1]=>[2,3,1,5,6,4,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[1,4,2,3,7,6,5]=>[5,6,7,3,2,4,1]=>[3,2,1,5,6,4,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,4,2,5,3,6,7]=>[7,6,3,5,2,4,1]=>[1,2,5,3,6,4,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[1,4,2,5,3,7,6]=>[6,7,3,5,2,4,1]=>[2,1,5,3,6,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,4,2,5,6,3,7]=>[7,3,6,5,2,4,1]=>[1,5,2,3,6,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,4,2,5,6,7,3]=>[3,7,6,5,2,4,1]=>[5,1,2,3,6,4,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[1,4,2,5,7,3,6]=>[6,3,7,5,2,4,1]=>[2,5,1,3,6,4,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[1,4,2,5,7,6,3]=>[3,6,7,5,2,4,1]=>[5,2,1,3,6,4,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,2,6,3,7,5]=>[5,7,3,6,2,4,1]=>[3,1,5,2,6,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,4,2,6,5,3,7]=>[7,3,5,6,2,4,1]=>[1,5,3,2,6,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,4,2,6,5,7,3]=>[3,7,5,6,2,4,1]=>[5,1,3,2,6,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,4,2,6,7,3,5]=>[5,3,7,6,2,4,1]=>[3,5,1,2,6,4,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[1,4,2,6,7,5,3]=>[3,5,7,6,2,4,1]=>[5,3,1,2,6,4,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,4,2,7,3,5,6]=>[6,5,3,7,2,4,1]=>[2,3,5,1,6,4,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[1,4,2,7,3,6,5]=>[5,6,3,7,2,4,1]=>[3,2,5,1,6,4,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,4,2,7,5,3,6]=>[6,3,5,7,2,4,1]=>[2,5,3,1,6,4,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[1,4,2,7,5,6,3]=>[3,6,5,7,2,4,1]=>[5,2,3,1,6,4,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,4,2,7,6,3,5]=>[5,3,6,7,2,4,1]=>[3,5,2,1,6,4,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[1,4,2,7,6,5,3]=>[3,5,6,7,2,4,1]=>[5,3,2,1,6,4,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1]=>[2,1,3,6,5,4,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1]=>[1,3,2,6,5,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,4,3,2,6,7,5]=>[5,7,6,2,3,4,1]=>[3,1,2,6,5,4,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[1,4,3,2,7,5,6]=>[6,5,7,2,3,4,1]=>[2,3,1,6,5,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1]=>[3,2,1,6,5,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,4,3,5,2,6,7]=>[7,6,2,5,3,4,1]=>[1,2,6,3,5,4,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[1,4,3,5,2,7,6]=>[6,7,2,5,3,4,1]=>[2,1,6,3,5,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,4,3,5,6,2,7]=>[7,2,6,5,3,4,1]=>[1,6,2,3,5,4,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[1,4,3,5,6,7,2]=>[2,7,6,5,3,4,1]=>[6,1,2,3,5,4,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[1,4,3,5,7,2,6]=>[6,2,7,5,3,4,1]=>[2,6,1,3,5,4,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[1,4,3,5,7,6,2]=>[2,6,7,5,3,4,1]=>[6,2,1,3,5,4,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,4,3,6,2,5,7]=>[7,5,2,6,3,4,1]=>[1,3,6,2,5,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,4,3,6,2,7,5]=>[5,7,2,6,3,4,1]=>[3,1,6,2,5,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,4,3,6,5,2,7]=>[7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,4,3,6,5,7,2]=>[2,7,5,6,3,4,1]=>[6,1,3,2,5,4,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,4,3,6,7,2,5]=>[5,2,7,6,3,4,1]=>[3,6,1,2,5,4,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[1,4,3,6,7,5,2]=>[2,5,7,6,3,4,1]=>[6,3,1,2,5,4,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,4,3,7,2,5,6]=>[6,5,2,7,3,4,1]=>[2,3,6,1,5,4,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[1,4,3,7,2,6,5]=>[5,6,2,7,3,4,1]=>[3,2,6,1,5,4,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,4,3,7,5,2,6]=>[6,2,5,7,3,4,1]=>[2,6,3,1,5,4,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[1,4,3,7,5,6,2]=>[2,6,5,7,3,4,1]=>[6,2,3,1,5,4,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,4,3,7,6,2,5]=>[5,2,6,7,3,4,1]=>[3,6,2,1,5,4,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[1,4,3,7,6,5,2]=>[2,5,6,7,3,4,1]=>[6,3,2,1,5,4,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[1,4,5,2,3,7,6]=>[6,7,3,2,5,4,1]=>[2,1,5,6,3,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,4,5,2,6,3,7]=>[7,3,6,2,5,4,1]=>[1,5,2,6,3,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,4,5,2,6,7,3]=>[3,7,6,2,5,4,1]=>[5,1,2,6,3,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,4,5,2,7,3,6]=>[6,3,7,2,5,4,1]=>[2,5,1,6,3,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,4,5,2,7,6,3]=>[3,6,7,2,5,4,1]=>[5,2,1,6,3,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,4,5,3,2,6,7]=>[7,6,2,3,5,4,1]=>[1,2,6,5,3,4,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[1,4,5,3,2,7,6]=>[6,7,2,3,5,4,1]=>[2,1,6,5,3,4,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,4,5,3,6,2,7]=>[7,2,6,3,5,4,1]=>[1,6,2,5,3,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[1,4,5,3,6,7,2]=>[2,7,6,3,5,4,1]=>[6,1,2,5,3,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,4,5,3,7,2,6]=>[6,2,7,3,5,4,1]=>[2,6,1,5,3,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,4,5,3,7,6,2]=>[2,6,7,3,5,4,1]=>[6,2,1,5,3,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,4,5,6,2,3,7]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[1,4,5,6,2,7,3]=>[3,7,2,6,5,4,1]=>[5,1,6,2,3,4,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,4,5,6,3,2,7]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[1,4,5,6,3,7,2]=>[2,7,3,6,5,4,1]=>[6,1,5,2,3,4,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1]=>[5,6,1,2,3,4,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[1,4,5,6,7,3,2]=>[2,3,7,6,5,4,1]=>[6,5,1,2,3,4,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,4,5,7,2,3,6]=>[6,3,2,7,5,4,1]=>[2,5,6,1,3,4,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[1,4,5,7,2,6,3]=>[3,6,2,7,5,4,1]=>[5,2,6,1,3,4,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,4,5,7,3,2,6]=>[6,2,3,7,5,4,1]=>[2,6,5,1,3,4,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[1,4,5,7,3,6,2]=>[2,6,3,7,5,4,1]=>[6,2,5,1,3,4,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,4,5,7,6,2,3]=>[3,2,6,7,5,4,1]=>[5,6,2,1,3,4,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[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]=>[1,3,5,6,2,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,4,6,2,3,7,5]=>[5,7,3,2,6,4,1]=>[3,1,5,6,2,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,4,6,2,5,3,7]=>[7,3,5,2,6,4,1]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,4,6,2,5,7,3]=>[3,7,5,2,6,4,1]=>[5,1,3,6,2,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,4,6,2,7,3,5]=>[5,3,7,2,6,4,1]=>[3,5,1,6,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,4,6,2,7,5,3]=>[3,5,7,2,6,4,1]=>[5,3,1,6,2,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,4,6,3,2,5,7]=>[7,5,2,3,6,4,1]=>[1,3,6,5,2,4,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[1,4,6,3,2,7,5]=>[5,7,2,3,6,4,1]=>[3,1,6,5,2,4,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,4,6,3,5,2,7]=>[7,2,5,3,6,4,1]=>[1,6,3,5,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,4,6,3,5,7,2]=>[2,7,5,3,6,4,1]=>[6,1,3,5,2,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,4,6,3,7,2,5]=>[5,2,7,3,6,4,1]=>[3,6,1,5,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,4,6,3,7,5,2]=>[2,5,7,3,6,4,1]=>[6,3,1,5,2,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,4,6,5,2,3,7]=>[7,3,2,5,6,4,1]=>[1,5,6,3,2,4,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,4,6,5,2,7,3]=>[3,7,2,5,6,4,1]=>[5,1,6,3,2,4,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,4,6,5,3,2,7]=>[7,2,3,5,6,4,1]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[1,4,6,5,3,7,2]=>[2,7,3,5,6,4,1]=>[6,1,5,3,2,4,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,4,6,5,7,2,3]=>[3,2,7,5,6,4,1]=>[5,6,1,3,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,4,6,5,7,3,2]=>[2,3,7,5,6,4,1]=>[6,5,1,3,2,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,4,6,7,2,3,5]=>[5,3,2,7,6,4,1]=>[3,5,6,1,2,4,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[1,4,6,7,2,5,3]=>[3,5,2,7,6,4,1]=>[5,3,6,1,2,4,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,4,6,7,3,2,5]=>[5,2,3,7,6,4,1]=>[3,6,5,1,2,4,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[1,4,6,7,3,5,2]=>[2,5,3,7,6,4,1]=>[6,3,5,1,2,4,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,4,6,7,5,2,3]=>[3,2,5,7,6,4,1]=>[5,6,3,1,2,4,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[1,4,6,7,5,3,2]=>[2,3,5,7,6,4,1]=>[6,5,3,1,2,4,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,4,7,2,3,5,6]=>[6,5,3,2,7,4,1]=>[2,3,5,6,1,4,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[1,4,7,2,3,6,5]=>[5,6,3,2,7,4,1]=>[3,2,5,6,1,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,4,7,2,5,3,6]=>[6,3,5,2,7,4,1]=>[2,5,3,6,1,4,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[1,4,7,2,5,6,3]=>[3,6,5,2,7,4,1]=>[5,2,3,6,1,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,4,7,2,6,3,5]=>[5,3,6,2,7,4,1]=>[3,5,2,6,1,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[1,4,7,2,6,5,3]=>[3,5,6,2,7,4,1]=>[5,3,2,6,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,4,7,3,2,5,6]=>[6,5,2,3,7,4,1]=>[2,3,6,5,1,4,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[1,4,7,3,2,6,5]=>[5,6,2,3,7,4,1]=>[3,2,6,5,1,4,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,4,7,3,5,2,6]=>[6,2,5,3,7,4,1]=>[2,6,3,5,1,4,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[1,4,7,3,5,6,2]=>[2,6,5,3,7,4,1]=>[6,2,3,5,1,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,4,7,3,6,2,5]=>[5,2,6,3,7,4,1]=>[3,6,2,5,1,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[1,4,7,3,6,5,2]=>[2,5,6,3,7,4,1]=>[6,3,2,5,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,4,7,5,2,3,6]=>[6,3,2,5,7,4,1]=>[2,5,6,3,1,4,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[1,4,7,5,2,6,3]=>[3,6,2,5,7,4,1]=>[5,2,6,3,1,4,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,4,7,5,3,2,6]=>[6,2,3,5,7,4,1]=>[2,6,5,3,1,4,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[1,4,7,5,3,6,2]=>[2,6,3,5,7,4,1]=>[6,2,5,3,1,4,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,4,7,5,6,2,3]=>[3,2,6,5,7,4,1]=>[5,6,2,3,1,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[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]=>[3,5,6,2,1,4,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[1,4,7,6,2,5,3]=>[3,5,2,6,7,4,1]=>[5,3,6,2,1,4,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,4,7,6,3,2,5]=>[5,2,3,6,7,4,1]=>[3,6,5,2,1,4,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[1,4,7,6,3,5,2]=>[2,5,3,6,7,4,1]=>[6,3,5,2,1,4,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,4,7,6,5,2,3]=>[3,2,5,6,7,4,1]=>[5,6,3,2,1,4,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[1,4,7,6,5,3,2]=>[2,3,5,6,7,4,1]=>[6,5,3,2,1,4,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1]=>[2,1,4,5,6,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,5,2,3,6,4,7]=>[7,4,6,3,2,5,1]=>[1,4,2,5,6,3,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,5,2,3,6,7,4]=>[4,7,6,3,2,5,1]=>[4,1,2,5,6,3,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1]=>[2,4,1,5,6,3,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[1,5,2,3,7,6,4]=>[4,6,7,3,2,5,1]=>[4,2,1,5,6,3,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,5,2,4,3,6,7]=>[7,6,3,4,2,5,1]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[1,5,2,4,3,7,6]=>[6,7,3,4,2,5,1]=>[2,1,5,4,6,3,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,5,2,4,6,3,7]=>[7,3,6,4,2,5,1]=>[1,5,2,4,6,3,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,5,2,4,6,7,3]=>[3,7,6,4,2,5,1]=>[5,1,2,4,6,3,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[1,5,2,4,7,3,6]=>[6,3,7,4,2,5,1]=>[2,5,1,4,6,3,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[1,5,2,4,7,6,3]=>[3,6,7,4,2,5,1]=>[5,2,1,4,6,3,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,5,2,6,3,4,7]=>[7,4,3,6,2,5,1]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,5,2,6,3,7,4]=>[4,7,3,6,2,5,1]=>[4,1,5,2,6,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,5,2,6,4,3,7]=>[7,3,4,6,2,5,1]=>[1,5,4,2,6,3,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,5,2,6,4,7,3]=>[3,7,4,6,2,5,1]=>[5,1,4,2,6,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,5,2,6,7,3,4]=>[4,3,7,6,2,5,1]=>[4,5,1,2,6,3,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[1,5,2,6,7,4,3]=>[3,4,7,6,2,5,1]=>[5,4,1,2,6,3,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1]=>[2,4,5,1,6,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[1,5,2,7,3,6,4]=>[4,6,3,7,2,5,1]=>[4,2,5,1,6,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,5,2,7,4,3,6]=>[6,3,4,7,2,5,1]=>[2,5,4,1,6,3,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[1,5,2,7,4,6,3]=>[3,6,4,7,2,5,1]=>[5,2,4,1,6,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,5,2,7,6,3,4]=>[4,3,6,7,2,5,1]=>[4,5,2,1,6,3,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[1,5,2,7,6,4,3]=>[3,4,6,7,2,5,1]=>[5,4,2,1,6,3,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[1,5,3,2,4,7,6]=>[6,7,4,2,3,5,1]=>[2,1,4,6,5,3,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[1,5,3,2,6,4,7]=>[7,4,6,2,3,5,1]=>[1,4,2,6,5,3,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,5,3,2,6,7,4]=>[4,7,6,2,3,5,1]=>[4,1,2,6,5,3,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[1,5,3,2,7,4,6]=>[6,4,7,2,3,5,1]=>[2,4,1,6,5,3,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[1,5,3,2,7,6,4]=>[4,6,7,2,3,5,1]=>[4,2,1,6,5,3,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,5,3,4,2,6,7]=>[7,6,2,4,3,5,1]=>[1,2,6,4,5,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[1,5,3,4,2,7,6]=>[6,7,2,4,3,5,1]=>[2,1,6,4,5,3,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,5,3,4,6,2,7]=>[7,2,6,4,3,5,1]=>[1,6,2,4,5,3,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[1,5,3,4,6,7,2]=>[2,7,6,4,3,5,1]=>[6,1,2,4,5,3,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[1,5,3,4,7,2,6]=>[6,2,7,4,3,5,1]=>[2,6,1,4,5,3,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[1,5,3,4,7,6,2]=>[2,6,7,4,3,5,1]=>[6,2,1,4,5,3,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,5,3,6,2,4,7]=>[7,4,2,6,3,5,1]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,5,3,6,2,7,4]=>[4,7,2,6,3,5,1]=>[4,1,6,2,5,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,5,3,6,4,2,7]=>[7,2,4,6,3,5,1]=>[1,6,4,2,5,3,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,5,3,6,4,7,2]=>[2,7,4,6,3,5,1]=>[6,1,4,2,5,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,5,3,6,7,2,4]=>[4,2,7,6,3,5,1]=>[4,6,1,2,5,3,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[1,5,3,6,7,4,2]=>[2,4,7,6,3,5,1]=>[6,4,1,2,5,3,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,5,3,7,2,4,6]=>[6,4,2,7,3,5,1]=>[2,4,6,1,5,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[1,5,3,7,2,6,4]=>[4,6,2,7,3,5,1]=>[4,2,6,1,5,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,5,3,7,4,2,6]=>[6,2,4,7,3,5,1]=>[2,6,4,1,5,3,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[1,5,3,7,4,6,2]=>[2,6,4,7,3,5,1]=>[6,2,4,1,5,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,5,3,7,6,2,4]=>[4,2,6,7,3,5,1]=>[4,6,2,1,5,3,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[1,5,3,7,6,4,2]=>[2,4,6,7,3,5,1]=>[6,4,2,1,5,3,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,5,4,2,3,6,7]=>[7,6,3,2,4,5,1]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[1,5,4,2,3,7,6]=>[6,7,3,2,4,5,1]=>[2,1,5,6,4,3,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,5,4,2,6,3,7]=>[7,3,6,2,4,5,1]=>[1,5,2,6,4,3,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,5,4,2,6,7,3]=>[3,7,6,2,4,5,1]=>[5,1,2,6,4,3,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[1,5,4,2,7,3,6]=>[6,3,7,2,4,5,1]=>[2,5,1,6,4,3,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[1,5,4,2,7,6,3]=>[3,6,7,2,4,5,1]=>[5,2,1,6,4,3,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1]=>[1,2,6,5,4,3,7]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[1,5,4,3,2,7,6]=>[6,7,2,3,4,5,1]=>[2,1,6,5,4,3,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,5,4,3,6,2,7]=>[7,2,6,3,4,5,1]=>[1,6,2,5,4,3,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[1,5,4,3,6,7,2]=>[2,7,6,3,4,5,1]=>[6,1,2,5,4,3,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[1,5,4,3,7,2,6]=>[6,2,7,3,4,5,1]=>[2,6,1,5,4,3,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[1,5,4,3,7,6,2]=>[2,6,7,3,4,5,1]=>[6,2,1,5,4,3,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,5,4,6,2,3,7]=>[7,3,2,6,4,5,1]=>[1,5,6,2,4,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[1,5,4,6,2,7,3]=>[3,7,2,6,4,5,1]=>[5,1,6,2,4,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,5,4,6,3,2,7]=>[7,2,3,6,4,5,1]=>[1,6,5,2,4,3,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[1,5,4,6,3,7,2]=>[2,7,3,6,4,5,1]=>[6,1,5,2,4,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,5,4,6,7,2,3]=>[3,2,7,6,4,5,1]=>[5,6,1,2,4,3,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[1,5,4,6,7,3,2]=>[2,3,7,6,4,5,1]=>[6,5,1,2,4,3,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,5,4,7,2,3,6]=>[6,3,2,7,4,5,1]=>[2,5,6,1,4,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[1,5,4,7,2,6,3]=>[3,6,2,7,4,5,1]=>[5,2,6,1,4,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,5,4,7,3,2,6]=>[6,2,3,7,4,5,1]=>[2,6,5,1,4,3,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[1,5,4,7,3,6,2]=>[2,6,3,7,4,5,1]=>[6,2,5,1,4,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,5,4,7,6,2,3]=>[3,2,6,7,4,5,1]=>[5,6,2,1,4,3,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[1,5,4,7,6,3,2]=>[2,3,6,7,4,5,1]=>[6,5,2,1,4,3,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,5,6,2,3,4,7]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[1,5,6,2,3,7,4]=>[4,7,3,2,6,5,1]=>[4,1,5,6,2,3,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,5,6,2,4,3,7]=>[7,3,4,2,6,5,1]=>[1,5,4,6,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,5,6,2,4,7,3]=>[3,7,4,2,6,5,1]=>[5,1,4,6,2,3,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,5,6,2,7,3,4]=>[4,3,7,2,6,5,1]=>[4,5,1,6,2,3,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,5,6,2,7,4,3]=>[3,4,7,2,6,5,1]=>[5,4,1,6,2,3,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,5,6,3,2,4,7]=>[7,4,2,3,6,5,1]=>[1,4,6,5,2,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[1,5,6,3,2,7,4]=>[4,7,2,3,6,5,1]=>[4,1,6,5,2,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,5,6,3,4,2,7]=>[7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[1,5,6,3,4,7,2]=>[2,7,4,3,6,5,1]=>[6,1,4,5,2,3,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,5,6,3,7,2,4]=>[4,2,7,3,6,5,1]=>[4,6,1,5,2,3,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,5,6,3,7,4,2]=>[2,4,7,3,6,5,1]=>[6,4,1,5,2,3,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[1,5,6,4,2,7,3]=>[3,7,2,4,6,5,1]=>[5,1,6,4,2,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,5,6,4,3,2,7]=>[7,2,3,4,6,5,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[1,5,6,4,3,7,2]=>[2,7,3,4,6,5,1]=>[6,1,5,4,2,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,5,6,4,7,2,3]=>[3,2,7,4,6,5,1]=>[5,6,1,4,2,3,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[1,5,6,4,7,3,2]=>[2,3,7,4,6,5,1]=>[6,5,1,4,2,3,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,5,6,7,2,3,4]=>[4,3,2,7,6,5,1]=>[4,5,6,1,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[1,5,6,7,2,4,3]=>[3,4,2,7,6,5,1]=>[5,4,6,1,2,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,5,6,7,3,2,4]=>[4,2,3,7,6,5,1]=>[4,6,5,1,2,3,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[1,5,6,7,3,4,2]=>[2,4,3,7,6,5,1]=>[6,4,5,1,2,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,5,6,7,4,2,3]=>[3,2,4,7,6,5,1]=>[5,6,4,1,2,3,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[1,5,6,7,4,3,2]=>[2,3,4,7,6,5,1]=>[6,5,4,1,2,3,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,5,7,2,3,4,6]=>[6,4,3,2,7,5,1]=>[2,4,5,6,1,3,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[1,5,7,2,3,6,4]=>[4,6,3,2,7,5,1]=>[4,2,5,6,1,3,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,5,7,2,4,3,6]=>[6,3,4,2,7,5,1]=>[2,5,4,6,1,3,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[1,5,7,2,4,6,3]=>[3,6,4,2,7,5,1]=>[5,2,4,6,1,3,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,5,7,2,6,3,4]=>[4,3,6,2,7,5,1]=>[4,5,2,6,1,3,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[1,5,7,2,6,4,3]=>[3,4,6,2,7,5,1]=>[5,4,2,6,1,3,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,5,7,3,2,4,6]=>[6,4,2,3,7,5,1]=>[2,4,6,5,1,3,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[1,5,7,3,2,6,4]=>[4,6,2,3,7,5,1]=>[4,2,6,5,1,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,5,7,3,4,2,6]=>[6,2,4,3,7,5,1]=>[2,6,4,5,1,3,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[1,5,7,3,4,6,2]=>[2,6,4,3,7,5,1]=>[6,2,4,5,1,3,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,5,7,3,6,2,4]=>[4,2,6,3,7,5,1]=>[4,6,2,5,1,3,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[1,5,7,3,6,4,2]=>[2,4,6,3,7,5,1]=>[6,4,2,5,1,3,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,5,7,4,2,3,6]=>[6,3,2,4,7,5,1]=>[2,5,6,4,1,3,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[1,5,7,4,2,6,3]=>[3,6,2,4,7,5,1]=>[5,2,6,4,1,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,5,7,4,3,2,6]=>[6,2,3,4,7,5,1]=>[2,6,5,4,1,3,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[1,5,7,4,3,6,2]=>[2,6,3,4,7,5,1]=>[6,2,5,4,1,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,5,7,4,6,2,3]=>[3,2,6,4,7,5,1]=>[5,6,2,4,1,3,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[1,5,7,4,6,3,2]=>[2,3,6,4,7,5,1]=>[6,5,2,4,1,3,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,5,7,6,2,3,4]=>[4,3,2,6,7,5,1]=>[4,5,6,2,1,3,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[1,5,7,6,2,4,3]=>[3,4,2,6,7,5,1]=>[5,4,6,2,1,3,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,5,7,6,3,2,4]=>[4,2,3,6,7,5,1]=>[4,6,5,2,1,3,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[1,5,7,6,3,4,2]=>[2,4,3,6,7,5,1]=>[6,4,5,2,1,3,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,5,7,6,4,2,3]=>[3,2,4,6,7,5,1]=>[5,6,4,2,1,3,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[1,5,7,6,4,3,2]=>[2,3,4,6,7,5,1]=>[6,5,4,2,1,3,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[1,6,2,3,4,7,5]=>[5,7,4,3,2,6,1]=>[3,1,4,5,6,2,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,2,3,5,4,7]=>[7,4,5,3,2,6,1]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,2,3,5,7,4]=>[4,7,5,3,2,6,1]=>[4,1,3,5,6,2,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,2,3,7,4,5]=>[5,4,7,3,2,6,1]=>[3,4,1,5,6,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[1,6,2,3,7,5,4]=>[4,5,7,3,2,6,1]=>[4,3,1,5,6,2,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,6,2,4,3,5,7]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,6,2,4,3,7,5]=>[5,7,3,4,2,6,1]=>[3,1,5,4,6,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,6,2,4,5,3,7]=>[7,3,5,4,2,6,1]=>[1,5,3,4,6,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,2,4,5,7,3]=>[3,7,5,4,2,6,1]=>[5,1,3,4,6,2,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,2,4,7,3,5]=>[5,3,7,4,2,6,1]=>[3,5,1,4,6,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[1,6,2,4,7,5,3]=>[3,5,7,4,2,6,1]=>[5,3,1,4,6,2,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,6,2,5,3,4,7]=>[7,4,3,5,2,6,1]=>[1,4,5,3,6,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,2,5,3,7,4]=>[4,7,3,5,2,6,1]=>[4,1,5,3,6,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,6,2,5,4,3,7]=>[7,3,4,5,2,6,1]=>[1,5,4,3,6,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,6,2,5,4,7,3]=>[3,7,4,5,2,6,1]=>[5,1,4,3,6,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,6,2,5,7,3,4]=>[4,3,7,5,2,6,1]=>[4,5,1,3,6,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[1,6,2,5,7,4,3]=>[3,4,7,5,2,6,1]=>[5,4,1,3,6,2,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,6,2,7,3,4,5]=>[5,4,3,7,2,6,1]=>[3,4,5,1,6,2,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[1,6,2,7,3,5,4]=>[4,5,3,7,2,6,1]=>[4,3,5,1,6,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,6,2,7,4,3,5]=>[5,3,4,7,2,6,1]=>[3,5,4,1,6,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[1,6,2,7,4,5,3]=>[3,5,4,7,2,6,1]=>[5,3,4,1,6,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,6,2,7,5,3,4]=>[4,3,5,7,2,6,1]=>[4,5,3,1,6,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[1,6,2,7,5,4,3]=>[3,4,5,7,2,6,1]=>[5,4,3,1,6,2,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,6,3,2,4,5,7]=>[7,5,4,2,3,6,1]=>[1,3,4,6,5,2,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[1,6,3,2,4,7,5]=>[5,7,4,2,3,6,1]=>[3,1,4,6,5,2,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[1,6,3,2,5,4,7]=>[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,6,3,2,5,7,4]=>[4,7,5,2,3,6,1]=>[4,1,3,6,5,2,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[1,6,3,2,7,4,5]=>[5,4,7,2,3,6,1]=>[3,4,1,6,5,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[1,6,3,2,7,5,4]=>[4,5,7,2,3,6,1]=>[4,3,1,6,5,2,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,6,3,4,2,5,7]=>[7,5,2,4,3,6,1]=>[1,3,6,4,5,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[1,6,3,4,2,7,5]=>[5,7,2,4,3,6,1]=>[3,1,6,4,5,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[1,6,3,4,5,7,2]=>[2,7,5,4,3,6,1]=>[6,1,3,4,5,2,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,3,4,7,2,5]=>[5,2,7,4,3,6,1]=>[3,6,1,4,5,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[1,6,3,4,7,5,2]=>[2,5,7,4,3,6,1]=>[6,3,1,4,5,2,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,6,3,5,2,4,7]=>[7,4,2,5,3,6,1]=>[1,4,6,3,5,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,3,5,2,7,4]=>[4,7,2,5,3,6,1]=>[4,1,6,3,5,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,6,3,5,4,2,7]=>[7,2,4,5,3,6,1]=>[1,6,4,3,5,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,6,3,5,4,7,2]=>[2,7,4,5,3,6,1]=>[6,1,4,3,5,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,6,3,5,7,2,4]=>[4,2,7,5,3,6,1]=>[4,6,1,3,5,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[1,6,3,5,7,4,2]=>[2,4,7,5,3,6,1]=>[6,4,1,3,5,2,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,6,3,7,2,4,5]=>[5,4,2,7,3,6,1]=>[3,4,6,1,5,2,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[1,6,3,7,2,5,4]=>[4,5,2,7,3,6,1]=>[4,3,6,1,5,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,6,3,7,4,2,5]=>[5,2,4,7,3,6,1]=>[3,6,4,1,5,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[1,6,3,7,4,5,2]=>[2,5,4,7,3,6,1]=>[6,3,4,1,5,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,6,3,7,5,2,4]=>[4,2,5,7,3,6,1]=>[4,6,3,1,5,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[1,6,3,7,5,4,2]=>[2,4,5,7,3,6,1]=>[6,4,3,1,5,2,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,6,4,2,3,5,7]=>[7,5,3,2,4,6,1]=>[1,3,5,6,4,2,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[1,6,4,2,3,7,5]=>[5,7,3,2,4,6,1]=>[3,1,5,6,4,2,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,6,4,2,5,3,7]=>[7,3,5,2,4,6,1]=>[1,5,3,6,4,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,6,4,2,5,7,3]=>[3,7,5,2,4,6,1]=>[5,1,3,6,4,2,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[1,6,4,2,7,3,5]=>[5,3,7,2,4,6,1]=>[3,5,1,6,4,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[1,6,4,2,7,5,3]=>[3,5,7,2,4,6,1]=>[5,3,1,6,4,2,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,6,4,3,2,5,7]=>[7,5,2,3,4,6,1]=>[1,3,6,5,4,2,7]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[1,6,4,3,2,7,5]=>[5,7,2,3,4,6,1]=>[3,1,6,5,4,2,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,6,4,3,5,2,7]=>[7,2,5,3,4,6,1]=>[1,6,3,5,4,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[1,6,4,3,5,7,2]=>[2,7,5,3,4,6,1]=>[6,1,3,5,4,2,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[1,6,4,3,7,2,5]=>[5,2,7,3,4,6,1]=>[3,6,1,5,4,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[1,6,4,3,7,5,2]=>[2,5,7,3,4,6,1]=>[6,3,1,5,4,2,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,6,4,5,2,3,7]=>[7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[1,6,4,5,2,7,3]=>[3,7,2,5,4,6,1]=>[5,1,6,3,4,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,6,4,5,3,2,7]=>[7,2,3,5,4,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[1,6,4,5,3,7,2]=>[2,7,3,5,4,6,1]=>[6,1,5,3,4,2,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,6,4,5,7,2,3]=>[3,2,7,5,4,6,1]=>[5,6,1,3,4,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[1,6,4,5,7,3,2]=>[2,3,7,5,4,6,1]=>[6,5,1,3,4,2,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,6,4,7,2,3,5]=>[5,3,2,7,4,6,1]=>[3,5,6,1,4,2,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[1,6,4,7,2,5,3]=>[3,5,2,7,4,6,1]=>[5,3,6,1,4,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,6,4,7,3,2,5]=>[5,2,3,7,4,6,1]=>[3,6,5,1,4,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[1,6,4,7,3,5,2]=>[2,5,3,7,4,6,1]=>[6,3,5,1,4,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,6,4,7,5,2,3]=>[3,2,5,7,4,6,1]=>[5,6,3,1,4,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[1,6,4,7,5,3,2]=>[2,3,5,7,4,6,1]=>[6,5,3,1,4,2,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,6,5,2,3,4,7]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[1,6,5,2,3,7,4]=>[4,7,3,2,5,6,1]=>[4,1,5,6,3,2,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,6,5,2,4,3,7]=>[7,3,4,2,5,6,1]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[1,6,5,2,4,7,3]=>[3,7,4,2,5,6,1]=>[5,1,4,6,3,2,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,6,5,2,7,3,4]=>[4,3,7,2,5,6,1]=>[4,5,1,6,3,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[1,6,5,2,7,4,3]=>[3,4,7,2,5,6,1]=>[5,4,1,6,3,2,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,6,5,3,2,4,7]=>[7,4,2,3,5,6,1]=>[1,4,6,5,3,2,7]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[1,6,5,3,2,7,4]=>[4,7,2,3,5,6,1]=>[4,1,6,5,3,2,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,6,5,3,4,2,7]=>[7,2,4,3,5,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[1,6,5,3,4,7,2]=>[2,7,4,3,5,6,1]=>[6,1,4,5,3,2,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,6,5,3,7,2,4]=>[4,2,7,3,5,6,1]=>[4,6,1,5,3,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[1,6,5,3,7,4,2]=>[2,4,7,3,5,6,1]=>[6,4,1,5,3,2,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,6,5,4,2,3,7]=>[7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[1,6,5,4,2,7,3]=>[3,7,2,4,5,6,1]=>[5,1,6,4,3,2,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[1,6,5,4,3,7,2]=>[2,7,3,4,5,6,1]=>[6,1,5,4,3,2,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,6,5,4,7,2,3]=>[3,2,7,4,5,6,1]=>[5,6,1,4,3,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[1,6,5,4,7,3,2]=>[2,3,7,4,5,6,1]=>[6,5,1,4,3,2,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,6,5,7,2,3,4]=>[4,3,2,7,5,6,1]=>[4,5,6,1,3,2,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[1,6,5,7,2,4,3]=>[3,4,2,7,5,6,1]=>[5,4,6,1,3,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,6,5,7,3,2,4]=>[4,2,3,7,5,6,1]=>[4,6,5,1,3,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[1,6,5,7,3,4,2]=>[2,4,3,7,5,6,1]=>[6,4,5,1,3,2,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,6,5,7,4,2,3]=>[3,2,4,7,5,6,1]=>[5,6,4,1,3,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[1,6,5,7,4,3,2]=>[2,3,4,7,5,6,1]=>[6,5,4,1,3,2,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1]=>[3,4,5,6,1,2,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[1,6,7,2,3,5,4]=>[4,5,3,2,7,6,1]=>[4,3,5,6,1,2,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,6,7,2,4,3,5]=>[5,3,4,2,7,6,1]=>[3,5,4,6,1,2,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[1,6,7,2,4,5,3]=>[3,5,4,2,7,6,1]=>[5,3,4,6,1,2,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,6,7,2,5,3,4]=>[4,3,5,2,7,6,1]=>[4,5,3,6,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[1,6,7,2,5,4,3]=>[3,4,5,2,7,6,1]=>[5,4,3,6,1,2,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,6,7,3,2,4,5]=>[5,4,2,3,7,6,1]=>[3,4,6,5,1,2,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[1,6,7,3,2,5,4]=>[4,5,2,3,7,6,1]=>[4,3,6,5,1,2,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,6,7,3,4,2,5]=>[5,2,4,3,7,6,1]=>[3,6,4,5,1,2,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[1,6,7,3,4,5,2]=>[2,5,4,3,7,6,1]=>[6,3,4,5,1,2,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,6,7,3,5,2,4]=>[4,2,5,3,7,6,1]=>[4,6,3,5,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[1,6,7,3,5,4,2]=>[2,4,5,3,7,6,1]=>[6,4,3,5,1,2,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,6,7,4,2,3,5]=>[5,3,2,4,7,6,1]=>[3,5,6,4,1,2,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[1,6,7,4,2,5,3]=>[3,5,2,4,7,6,1]=>[5,3,6,4,1,2,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,6,7,4,3,2,5]=>[5,2,3,4,7,6,1]=>[3,6,5,4,1,2,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[1,6,7,4,3,5,2]=>[2,5,3,4,7,6,1]=>[6,3,5,4,1,2,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1]=>[5,6,3,4,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[1,6,7,4,5,3,2]=>[2,3,5,4,7,6,1]=>[6,5,3,4,1,2,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,6,7,5,2,3,4]=>[4,3,2,5,7,6,1]=>[4,5,6,3,1,2,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[1,6,7,5,2,4,3]=>[3,4,2,5,7,6,1]=>[5,4,6,3,1,2,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,6,7,5,3,2,4]=>[4,2,3,5,7,6,1]=>[4,6,5,3,1,2,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[1,6,7,5,3,4,2]=>[2,4,3,5,7,6,1]=>[6,4,5,3,1,2,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,6,7,5,4,2,3]=>[3,2,4,5,7,6,1]=>[5,6,4,3,1,2,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[1,6,7,5,4,3,2]=>[2,3,4,5,7,6,1]=>[6,5,4,3,1,2,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>[2,3,4,5,6,1,7]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[1,7,2,3,4,6,5]=>[5,6,4,3,2,7,1]=>[3,2,4,5,6,1,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,7,2,3,5,4,6]=>[6,4,5,3,2,7,1]=>[2,4,3,5,6,1,7]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[1,7,2,3,5,6,4]=>[4,6,5,3,2,7,1]=>[4,2,3,5,6,1,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,7,2,3,6,4,5]=>[5,4,6,3,2,7,1]=>[3,4,2,5,6,1,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[1,7,2,3,6,5,4]=>[4,5,6,3,2,7,1]=>[4,3,2,5,6,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,7,2,4,3,5,6]=>[6,5,3,4,2,7,1]=>[2,3,5,4,6,1,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[1,7,2,4,3,6,5]=>[5,6,3,4,2,7,1]=>[3,2,5,4,6,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,7,2,4,5,3,6]=>[6,3,5,4,2,7,1]=>[2,5,3,4,6,1,7]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[1,7,2,4,5,6,3]=>[3,6,5,4,2,7,1]=>[5,2,3,4,6,1,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,7,2,4,6,3,5]=>[5,3,6,4,2,7,1]=>[3,5,2,4,6,1,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[1,7,2,4,6,5,3]=>[3,5,6,4,2,7,1]=>[5,3,2,4,6,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,7,2,5,3,4,6]=>[6,4,3,5,2,7,1]=>[2,4,5,3,6,1,7]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[1,7,2,5,3,6,4]=>[4,6,3,5,2,7,1]=>[4,2,5,3,6,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,7,2,5,4,3,6]=>[6,3,4,5,2,7,1]=>[2,5,4,3,6,1,7]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[1,7,2,5,4,6,3]=>[3,6,4,5,2,7,1]=>[5,2,4,3,6,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,7,2,5,6,3,4]=>[4,3,6,5,2,7,1]=>[4,5,2,3,6,1,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[1,7,2,5,6,4,3]=>[3,4,6,5,2,7,1]=>[5,4,2,3,6,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1]=>[3,4,5,2,6,1,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[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]=>[3,5,4,2,6,1,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[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]=>[4,5,3,2,6,1,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[1,7,2,6,5,4,3]=>[3,4,5,6,2,7,1]=>[5,4,3,2,6,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,7,3,2,4,5,6]=>[6,5,4,2,3,7,1]=>[2,3,4,6,5,1,7]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[1,7,3,2,4,6,5]=>[5,6,4,2,3,7,1]=>[3,2,4,6,5,1,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[1,7,3,2,5,4,6]=>[6,4,5,2,3,7,1]=>[2,4,3,6,5,1,7]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[1,7,3,2,5,6,4]=>[4,6,5,2,3,7,1]=>[4,2,3,6,5,1,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[1,7,3,2,6,4,5]=>[5,4,6,2,3,7,1]=>[3,4,2,6,5,1,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[1,7,3,2,6,5,4]=>[4,5,6,2,3,7,1]=>[4,3,2,6,5,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,7,3,4,2,5,6]=>[6,5,2,4,3,7,1]=>[2,3,6,4,5,1,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[1,7,3,4,2,6,5]=>[5,6,2,4,3,7,1]=>[3,2,6,4,5,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,7,3,4,5,2,6]=>[6,2,5,4,3,7,1]=>[2,6,3,4,5,1,7]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[1,7,3,4,5,6,2]=>[2,6,5,4,3,7,1]=>[6,2,3,4,5,1,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,7,3,4,6,2,5]=>[5,2,6,4,3,7,1]=>[3,6,2,4,5,1,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[1,7,3,4,6,5,2]=>[2,5,6,4,3,7,1]=>[6,3,2,4,5,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,7,3,5,2,4,6]=>[6,4,2,5,3,7,1]=>[2,4,6,3,5,1,7]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[1,7,3,5,2,6,4]=>[4,6,2,5,3,7,1]=>[4,2,6,3,5,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,7,3,5,4,2,6]=>[6,2,4,5,3,7,1]=>[2,6,4,3,5,1,7]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[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]=>[4,6,2,3,5,1,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[1,7,3,5,6,4,2]=>[2,4,6,5,3,7,1]=>[6,4,2,3,5,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,7,3,6,2,4,5]=>[5,4,2,6,3,7,1]=>[3,4,6,2,5,1,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[1,7,3,6,2,5,4]=>[4,5,2,6,3,7,1]=>[4,3,6,2,5,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,7,3,6,4,2,5]=>[5,2,4,6,3,7,1]=>[3,6,4,2,5,1,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[1,7,3,6,4,5,2]=>[2,5,4,6,3,7,1]=>[6,3,4,2,5,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,7,3,6,5,2,4]=>[4,2,5,6,3,7,1]=>[4,6,3,2,5,1,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[6,4,3,2,5,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,7,4,2,3,5,6]=>[6,5,3,2,4,7,1]=>[2,3,5,6,4,1,7]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]
[1,7,4,2,3,6,5]=>[5,6,3,2,4,7,1]=>[3,2,5,6,4,1,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[1,7,4,2,5,3,6]=>[6,3,5,2,4,7,1]=>[2,5,3,6,4,1,7]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[1,7,4,2,5,6,3]=>[3,6,5,2,4,7,1]=>[5,2,3,6,4,1,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[1,7,4,2,6,3,5]=>[5,3,6,2,4,7,1]=>[3,5,2,6,4,1,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[1,7,4,2,6,5,3]=>[3,5,6,2,4,7,1]=>[5,3,2,6,4,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,7,4,3,2,5,6]=>[6,5,2,3,4,7,1]=>[2,3,6,5,4,1,7]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[1,7,4,3,2,6,5]=>[5,6,2,3,4,7,1]=>[3,2,6,5,4,1,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[1,7,4,3,5,2,6]=>[6,2,5,3,4,7,1]=>[2,6,3,5,4,1,7]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[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]=>[3,6,2,5,4,1,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[1,7,4,3,6,5,2]=>[2,5,6,3,4,7,1]=>[6,3,2,5,4,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,7,4,5,2,3,6]=>[6,3,2,5,4,7,1]=>[2,5,6,3,4,1,7]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[1,7,4,5,2,6,3]=>[3,6,2,5,4,7,1]=>[5,2,6,3,4,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,7,4,5,3,2,6]=>[6,2,3,5,4,7,1]=>[2,6,5,3,4,1,7]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[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]=>[5,6,2,3,4,1,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[1,7,4,5,6,3,2]=>[2,3,6,5,4,7,1]=>[6,5,2,3,4,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,7,4,6,2,3,5]=>[5,3,2,6,4,7,1]=>[3,5,6,2,4,1,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[1,7,4,6,2,5,3]=>[3,5,2,6,4,7,1]=>[5,3,6,2,4,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,7,4,6,3,2,5]=>[5,2,3,6,4,7,1]=>[3,6,5,2,4,1,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[1,7,4,6,3,5,2]=>[2,5,3,6,4,7,1]=>[6,3,5,2,4,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,7,4,6,5,2,3]=>[3,2,5,6,4,7,1]=>[5,6,3,2,4,1,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[1,7,4,6,5,3,2]=>[2,3,5,6,4,7,1]=>[6,5,3,2,4,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,7,5,2,3,4,6]=>[6,4,3,2,5,7,1]=>[2,4,5,6,3,1,7]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[1,7,5,2,3,6,4]=>[4,6,3,2,5,7,1]=>[4,2,5,6,3,1,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[1,7,5,2,4,3,6]=>[6,3,4,2,5,7,1]=>[2,5,4,6,3,1,7]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[1,7,5,2,4,6,3]=>[3,6,4,2,5,7,1]=>[5,2,4,6,3,1,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[1,7,5,2,6,3,4]=>[4,3,6,2,5,7,1]=>[4,5,2,6,3,1,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[1,7,5,2,6,4,3]=>[3,4,6,2,5,7,1]=>[5,4,2,6,3,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,7,5,3,2,4,6]=>[6,4,2,3,5,7,1]=>[2,4,6,5,3,1,7]=>[[.,[[.,[[.,.],.]],.]],[.,.]]
[1,7,5,3,2,6,4]=>[4,6,2,3,5,7,1]=>[4,2,6,5,3,1,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[1,7,5,3,4,2,6]=>[6,2,4,3,5,7,1]=>[2,6,4,5,3,1,7]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[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]=>[4,6,2,5,3,1,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[1,7,5,3,6,4,2]=>[2,4,6,3,5,7,1]=>[6,4,2,5,3,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,7,5,4,2,3,6]=>[6,3,2,4,5,7,1]=>[2,5,6,4,3,1,7]=>[[.,[[[.,[.,.]],.],.]],[.,.]]
[1,7,5,4,2,6,3]=>[3,6,2,4,5,7,1]=>[5,2,6,4,3,1,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[1,7,5,4,3,2,6]=>[6,2,3,4,5,7,1]=>[2,6,5,4,3,1,7]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[1,7,5,4,3,6,2]=>[2,6,3,4,5,7,1]=>[6,2,5,4,3,1,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[1,7,5,4,6,2,3]=>[3,2,6,4,5,7,1]=>[5,6,2,4,3,1,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[1,7,5,4,6,3,2]=>[2,3,6,4,5,7,1]=>[6,5,2,4,3,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,7,5,6,2,3,4]=>[4,3,2,6,5,7,1]=>[4,5,6,2,3,1,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[1,7,5,6,2,4,3]=>[3,4,2,6,5,7,1]=>[5,4,6,2,3,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,7,5,6,3,2,4]=>[4,2,3,6,5,7,1]=>[4,6,5,2,3,1,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[1,7,5,6,3,4,2]=>[2,4,3,6,5,7,1]=>[6,4,5,2,3,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,7,5,6,4,2,3]=>[3,2,4,6,5,7,1]=>[5,6,4,2,3,1,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[1,7,5,6,4,3,2]=>[2,3,4,6,5,7,1]=>[6,5,4,2,3,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1]=>[3,4,5,6,2,1,7]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[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]=>[3,5,4,6,2,1,7]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[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]=>[4,5,3,6,2,1,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[1,7,6,2,5,4,3]=>[3,4,5,2,6,7,1]=>[5,4,3,6,2,1,7]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,7,6,3,2,4,5]=>[5,4,2,3,6,7,1]=>[3,4,6,5,2,1,7]=>[[[.,[.,[[.,.],.]]],.],[.,.]]
[1,7,6,3,2,5,4]=>[4,5,2,3,6,7,1]=>[4,3,6,5,2,1,7]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[1,7,6,3,4,2,5]=>[5,2,4,3,6,7,1]=>[3,6,4,5,2,1,7]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[1,7,6,3,4,5,2]=>[2,5,4,3,6,7,1]=>[6,3,4,5,2,1,7]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,7,6,3,5,2,4]=>[4,2,5,3,6,7,1]=>[4,6,3,5,2,1,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[1,7,6,3,5,4,2]=>[2,4,5,3,6,7,1]=>[6,4,3,5,2,1,7]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,7,6,4,2,3,5]=>[5,3,2,4,6,7,1]=>[3,5,6,4,2,1,7]=>[[[.,[[.,[.,.]],.]],.],[.,.]]
[1,7,6,4,2,5,3]=>[3,5,2,4,6,7,1]=>[5,3,6,4,2,1,7]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[1,7,6,4,3,2,5]=>[5,2,3,4,6,7,1]=>[3,6,5,4,2,1,7]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[1,7,6,4,3,5,2]=>[2,5,3,4,6,7,1]=>[6,3,5,4,2,1,7]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[1,7,6,4,5,2,3]=>[3,2,5,4,6,7,1]=>[5,6,3,4,2,1,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[6,5,3,4,2,1,7]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,7,6,5,2,3,4]=>[4,3,2,5,6,7,1]=>[4,5,6,3,2,1,7]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[1,7,6,5,2,4,3]=>[3,4,2,5,6,7,1]=>[5,4,6,3,2,1,7]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[1,7,6,5,3,2,4]=>[4,2,3,5,6,7,1]=>[4,6,5,3,2,1,7]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[1,7,6,5,3,4,2]=>[2,4,3,5,6,7,1]=>[6,4,5,3,2,1,7]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[1,7,6,5,4,2,3]=>[3,2,4,5,6,7,1]=>[5,6,4,3,2,1,7]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,1,3,4,6,5,7]=>[7,5,6,4,3,1,2]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[2,1,3,4,6,7,5]=>[5,7,6,4,3,1,2]=>[3,1,2,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,1,3,4,7,5,6]=>[6,5,7,4,3,1,2]=>[2,3,1,4,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[2,1,3,4,7,6,5]=>[5,6,7,4,3,1,2]=>[3,2,1,4,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[2,1,3,5,4,6,7]=>[7,6,4,5,3,1,2]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[2,1,3,5,4,7,6]=>[6,7,4,5,3,1,2]=>[2,1,4,3,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,1,3,5,6,4,7]=>[7,4,6,5,3,1,2]=>[1,4,2,3,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[2,1,3,5,6,7,4]=>[4,7,6,5,3,1,2]=>[4,1,2,3,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,1,3,5,7,4,6]=>[6,4,7,5,3,1,2]=>[2,4,1,3,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[2,1,3,5,7,6,4]=>[4,6,7,5,3,1,2]=>[4,2,1,3,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[2,1,3,6,4,5,7]=>[7,5,4,6,3,1,2]=>[1,3,4,2,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[2,1,3,6,4,7,5]=>[5,7,4,6,3,1,2]=>[3,1,4,2,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,1,3,6,5,4,7]=>[7,4,5,6,3,1,2]=>[1,4,3,2,5,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[2,1,3,6,5,7,4]=>[4,7,5,6,3,1,2]=>[4,1,3,2,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,1,3,6,7,4,5]=>[5,4,7,6,3,1,2]=>[3,4,1,2,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[2,1,3,6,7,5,4]=>[4,5,7,6,3,1,2]=>[4,3,1,2,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[2,1,3,7,4,5,6]=>[6,5,4,7,3,1,2]=>[2,3,4,1,5,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[2,1,3,7,4,6,5]=>[5,6,4,7,3,1,2]=>[3,2,4,1,5,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,1,3,7,5,4,6]=>[6,4,5,7,3,1,2]=>[2,4,3,1,5,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[2,1,3,7,5,6,4]=>[4,6,5,7,3,1,2]=>[4,2,3,1,5,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,1,3,7,6,4,5]=>[5,4,6,7,3,1,2]=>[3,4,2,1,5,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[2,1,3,7,6,5,4]=>[4,5,6,7,3,1,2]=>[4,3,2,1,5,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[2,1,4,3,5,6,7]=>[7,6,5,3,4,1,2]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[2,1,4,3,5,7,6]=>[6,7,5,3,4,1,2]=>[2,1,3,5,4,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[2,1,4,3,6,5,7]=>[7,5,6,3,4,1,2]=>[1,3,2,5,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[2,1,4,3,6,7,5]=>[5,7,6,3,4,1,2]=>[3,1,2,5,4,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[2,1,4,3,7,5,6]=>[6,5,7,3,4,1,2]=>[2,3,1,5,4,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,1,4,3,7,6,5]=>[5,6,7,3,4,1,2]=>[3,2,1,5,4,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,1,4,5,3,6,7]=>[7,6,3,5,4,1,2]=>[1,2,5,3,4,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[2,1,4,5,3,7,6]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,1,4,5,6,3,7]=>[7,3,6,5,4,1,2]=>[1,5,2,3,4,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[2,1,4,5,6,7,3]=>[3,7,6,5,4,1,2]=>[5,1,2,3,4,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,1,4,5,7,3,6]=>[6,3,7,5,4,1,2]=>[2,5,1,3,4,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[2,1,4,5,7,6,3]=>[3,6,7,5,4,1,2]=>[5,2,1,3,4,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[2,1,4,6,3,5,7]=>[7,5,3,6,4,1,2]=>[1,3,5,2,4,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[2,1,4,6,3,7,5]=>[5,7,3,6,4,1,2]=>[3,1,5,2,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,1,4,6,5,3,7]=>[7,3,5,6,4,1,2]=>[1,5,3,2,4,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[2,1,4,6,5,7,3]=>[3,7,5,6,4,1,2]=>[5,1,3,2,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,1,4,6,7,3,5]=>[5,3,7,6,4,1,2]=>[3,5,1,2,4,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[2,1,4,6,7,5,3]=>[3,5,7,6,4,1,2]=>[5,3,1,2,4,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[2,1,4,7,3,5,6]=>[6,5,3,7,4,1,2]=>[2,3,5,1,4,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[2,1,4,7,3,6,5]=>[5,6,3,7,4,1,2]=>[3,2,5,1,4,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,1,4,7,5,3,6]=>[6,3,5,7,4,1,2]=>[2,5,3,1,4,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[2,1,4,7,5,6,3]=>[3,6,5,7,4,1,2]=>[5,2,3,1,4,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,1,4,7,6,3,5]=>[5,3,6,7,4,1,2]=>[3,5,2,1,4,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[2,1,4,7,6,5,3]=>[3,5,6,7,4,1,2]=>[5,3,2,1,4,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[2,1,5,3,4,6,7]=>[7,6,4,3,5,1,2]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[2,1,5,3,4,7,6]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,1,5,3,6,4,7]=>[7,4,6,3,5,1,2]=>[1,4,2,5,3,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[2,1,5,3,6,7,4]=>[4,7,6,3,5,1,2]=>[4,1,2,5,3,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[2,1,5,3,7,4,6]=>[6,4,7,3,5,1,2]=>[2,4,1,5,3,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,1,5,3,7,6,4]=>[4,6,7,3,5,1,2]=>[4,2,1,5,3,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,1,5,4,3,6,7]=>[7,6,3,4,5,1,2]=>[1,2,5,4,3,7,6]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[2,1,5,4,6,3,7]=>[7,3,6,4,5,1,2]=>[1,5,2,4,3,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[2,1,5,4,6,7,3]=>[3,7,6,4,5,1,2]=>[5,1,2,4,3,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[2,1,5,4,7,3,6]=>[6,3,7,4,5,1,2]=>[2,5,1,4,3,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,1,5,4,7,6,3]=>[3,6,7,4,5,1,2]=>[5,2,1,4,3,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,1,5,6,3,4,7]=>[7,4,3,6,5,1,2]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[2,1,5,6,3,7,4]=>[4,7,3,6,5,1,2]=>[4,1,5,2,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,1,5,6,4,3,7]=>[7,3,4,6,5,1,2]=>[1,5,4,2,3,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[2,1,5,6,4,7,3]=>[3,7,4,6,5,1,2]=>[5,1,4,2,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,1,5,6,7,3,4]=>[4,3,7,6,5,1,2]=>[4,5,1,2,3,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[2,1,5,6,7,4,3]=>[3,4,7,6,5,1,2]=>[5,4,1,2,3,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[2,1,5,7,3,4,6]=>[6,4,3,7,5,1,2]=>[2,4,5,1,3,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[2,1,5,7,3,6,4]=>[4,6,3,7,5,1,2]=>[4,2,5,1,3,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,1,5,7,4,3,6]=>[6,3,4,7,5,1,2]=>[2,5,4,1,3,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[2,1,5,7,4,6,3]=>[3,6,4,7,5,1,2]=>[5,2,4,1,3,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,1,5,7,6,3,4]=>[4,3,6,7,5,1,2]=>[4,5,2,1,3,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[2,1,5,7,6,4,3]=>[3,4,6,7,5,1,2]=>[5,4,2,1,3,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[2,1,6,3,4,5,7]=>[7,5,4,3,6,1,2]=>[1,3,4,5,2,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[2,1,6,3,4,7,5]=>[5,7,4,3,6,1,2]=>[3,1,4,5,2,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,1,6,3,5,4,7]=>[7,4,5,3,6,1,2]=>[1,4,3,5,2,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,1,6,3,5,7,4]=>[4,7,5,3,6,1,2]=>[4,1,3,5,2,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,1,6,3,7,4,5]=>[5,4,7,3,6,1,2]=>[3,4,1,5,2,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,1,6,3,7,5,4]=>[4,5,7,3,6,1,2]=>[4,3,1,5,2,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,1,6,4,3,5,7]=>[7,5,3,4,6,1,2]=>[1,3,5,4,2,7,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[2,1,6,4,3,7,5]=>[5,7,3,4,6,1,2]=>[3,1,5,4,2,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[2,1,6,4,5,3,7]=>[7,3,5,4,6,1,2]=>[1,5,3,4,2,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,1,6,4,5,7,3]=>[3,7,5,4,6,1,2]=>[5,1,3,4,2,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,1,6,4,7,3,5]=>[5,3,7,4,6,1,2]=>[3,5,1,4,2,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,1,6,4,7,5,3]=>[3,5,7,4,6,1,2]=>[5,3,1,4,2,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,1,6,5,3,4,7]=>[7,4,3,5,6,1,2]=>[1,4,5,3,2,7,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[2,1,6,5,3,7,4]=>[4,7,3,5,6,1,2]=>[4,1,5,3,2,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[2,1,6,5,4,3,7]=>[7,3,4,5,6,1,2]=>[1,5,4,3,2,7,6]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[2,1,6,5,4,7,3]=>[3,7,4,5,6,1,2]=>[5,1,4,3,2,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[2,1,6,5,7,3,4]=>[4,3,7,5,6,1,2]=>[4,5,1,3,2,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,1,6,5,7,4,3]=>[3,4,7,5,6,1,2]=>[5,4,1,3,2,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,1,6,7,3,4,5]=>[5,4,3,7,6,1,2]=>[3,4,5,1,2,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[2,1,6,7,3,5,4]=>[4,5,3,7,6,1,2]=>[4,3,5,1,2,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,1,6,7,4,3,5]=>[5,3,4,7,6,1,2]=>[3,5,4,1,2,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[2,1,6,7,4,5,3]=>[3,5,4,7,6,1,2]=>[5,3,4,1,2,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,1,6,7,5,3,4]=>[4,3,5,7,6,1,2]=>[4,5,3,1,2,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[2,1,6,7,5,4,3]=>[3,4,5,7,6,1,2]=>[5,4,3,1,2,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[2,1,7,3,4,5,6]=>[6,5,4,3,7,1,2]=>[2,3,4,5,1,7,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[2,1,7,3,4,6,5]=>[5,6,4,3,7,1,2]=>[3,2,4,5,1,7,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,1,7,3,5,4,6]=>[6,4,5,3,7,1,2]=>[2,4,3,5,1,7,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[2,1,7,3,5,6,4]=>[4,6,5,3,7,1,2]=>[4,2,3,5,1,7,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,1,7,3,6,4,5]=>[5,4,6,3,7,1,2]=>[3,4,2,5,1,7,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,7,3,6,5,4]=>[4,5,6,3,7,1,2]=>[4,3,2,5,1,7,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,1,7,4,3,5,6]=>[6,5,3,4,7,1,2]=>[2,3,5,4,1,7,6]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[2,1,7,4,3,6,5]=>[5,6,3,4,7,1,2]=>[3,2,5,4,1,7,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,1,7,4,5,3,6]=>[6,3,5,4,7,1,2]=>[2,5,3,4,1,7,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[2,1,7,4,5,6,3]=>[3,6,5,4,7,1,2]=>[5,2,3,4,1,7,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,1,7,4,6,3,5]=>[5,3,6,4,7,1,2]=>[3,5,2,4,1,7,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,7,4,6,5,3]=>[3,5,6,4,7,1,2]=>[5,3,2,4,1,7,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,1,7,5,3,4,6]=>[6,4,3,5,7,1,2]=>[2,4,5,3,1,7,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[2,1,7,5,3,6,4]=>[4,6,3,5,7,1,2]=>[4,2,5,3,1,7,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,1,7,5,4,3,6]=>[6,3,4,5,7,1,2]=>[2,5,4,3,1,7,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,1,7,5,4,6,3]=>[3,6,4,5,7,1,2]=>[5,2,4,3,1,7,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,1,7,5,6,3,4]=>[4,3,6,5,7,1,2]=>[4,5,2,3,1,7,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,7,5,6,4,3]=>[3,4,6,5,7,1,2]=>[5,4,2,3,1,7,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[2,1,7,6,3,4,5]=>[5,4,3,6,7,1,2]=>[3,4,5,2,1,7,6]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[2,1,7,6,3,5,4]=>[4,5,3,6,7,1,2]=>[4,3,5,2,1,7,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,1,7,6,4,3,5]=>[5,3,4,6,7,1,2]=>[3,5,4,2,1,7,6]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,1,7,6,4,5,3]=>[3,5,4,6,7,1,2]=>[5,3,4,2,1,7,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[2,1,7,6,5,3,4]=>[4,3,5,6,7,1,2]=>[4,5,3,2,1,7,6]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[2,3,1,4,5,6,7]=>[7,6,5,4,1,3,2]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[2,3,1,4,5,7,6]=>[6,7,5,4,1,3,2]=>[2,1,3,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,3,1,4,6,5,7]=>[7,5,6,4,1,3,2]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,3,1,4,6,7,5]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,3,1,4,7,5,6]=>[6,5,7,4,1,3,2]=>[2,3,1,4,7,5,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,3,1,4,7,6,5]=>[5,6,7,4,1,3,2]=>[3,2,1,4,7,5,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[2,3,1,5,4,6,7]=>[7,6,4,5,1,3,2]=>[1,2,4,3,7,5,6]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[2,3,1,5,4,7,6]=>[6,7,4,5,1,3,2]=>[2,1,4,3,7,5,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,3,1,5,6,4,7]=>[7,4,6,5,1,3,2]=>[1,4,2,3,7,5,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,3,1,5,6,7,4]=>[4,7,6,5,1,3,2]=>[4,1,2,3,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,3,1,5,7,4,6]=>[6,4,7,5,1,3,2]=>[2,4,1,3,7,5,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,3,1,5,7,6,4]=>[4,6,7,5,1,3,2]=>[4,2,1,3,7,5,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[2,3,1,6,4,5,7]=>[7,5,4,6,1,3,2]=>[1,3,4,2,7,5,6]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,3,1,6,4,7,5]=>[5,7,4,6,1,3,2]=>[3,1,4,2,7,5,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,3,1,6,5,4,7]=>[7,4,5,6,1,3,2]=>[1,4,3,2,7,5,6]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,3,1,6,5,7,4]=>[4,7,5,6,1,3,2]=>[4,1,3,2,7,5,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,3,1,6,7,4,5]=>[5,4,7,6,1,3,2]=>[3,4,1,2,7,5,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,3,1,6,7,5,4]=>[4,5,7,6,1,3,2]=>[4,3,1,2,7,5,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[2,3,1,7,4,5,6]=>[6,5,4,7,1,3,2]=>[2,3,4,1,7,5,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,3,1,7,4,6,5]=>[5,6,4,7,1,3,2]=>[3,2,4,1,7,5,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,3,1,7,5,4,6]=>[6,4,5,7,1,3,2]=>[2,4,3,1,7,5,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,3,1,7,5,6,4]=>[4,6,5,7,1,3,2]=>[4,2,3,1,7,5,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,3,1,7,6,4,5]=>[5,4,6,7,1,3,2]=>[3,4,2,1,7,5,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,3,1,7,6,5,4]=>[4,5,6,7,1,3,2]=>[4,3,2,1,7,5,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,3,4,1,5,6,7]=>[7,6,5,1,4,3,2]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[2,3,4,1,5,7,6]=>[6,7,5,1,4,3,2]=>[2,1,3,7,4,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,3,4,1,6,5,7]=>[7,5,6,1,4,3,2]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,3,4,1,6,7,5]=>[5,7,6,1,4,3,2]=>[3,1,2,7,4,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,3,4,1,7,5,6]=>[6,5,7,1,4,3,2]=>[2,3,1,7,4,5,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,3,4,1,7,6,5]=>[5,6,7,1,4,3,2]=>[3,2,1,7,4,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,3,4,5,1,6,7]=>[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,3,4,5,1,7,6]=>[6,7,1,5,4,3,2]=>[2,1,7,3,4,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,3,4,5,6,1,7]=>[7,1,6,5,4,3,2]=>[1,7,2,3,4,5,6]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[2,3,4,5,7,1,6]=>[6,1,7,5,4,3,2]=>[2,7,1,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2]=>[7,2,1,3,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[2,3,4,6,1,5,7]=>[7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,3,4,6,1,7,5]=>[5,7,1,6,4,3,2]=>[3,1,7,2,4,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,3,4,6,5,1,7]=>[7,1,5,6,4,3,2]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,3,4,6,5,7,1]=>[1,7,5,6,4,3,2]=>[7,1,3,2,4,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,3,4,6,7,1,5]=>[5,1,7,6,4,3,2]=>[3,7,1,2,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,3,4,6,7,5,1]=>[1,5,7,6,4,3,2]=>[7,3,1,2,4,5,6]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[2,3,4,7,1,5,6]=>[6,5,1,7,4,3,2]=>[2,3,7,1,4,5,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[2,3,4,7,1,6,5]=>[5,6,1,7,4,3,2]=>[3,2,7,1,4,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[2,3,4,7,5,1,6]=>[6,1,5,7,4,3,2]=>[2,7,3,1,4,5,6]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[2,3,4,7,5,6,1]=>[1,6,5,7,4,3,2]=>[7,2,3,1,4,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[2,3,4,7,6,1,5]=>[5,1,6,7,4,3,2]=>[3,7,2,1,4,5,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2]=>[7,3,2,1,4,5,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[2,3,5,1,4,6,7]=>[7,6,4,1,5,3,2]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,3,5,1,4,7,6]=>[6,7,4,1,5,3,2]=>[2,1,4,7,3,5,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,3,5,1,6,4,7]=>[7,4,6,1,5,3,2]=>[1,4,2,7,3,5,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,3,5,1,6,7,4]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,3,5,1,7,4,6]=>[6,4,7,1,5,3,2]=>[2,4,1,7,3,5,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,3,5,1,7,6,4]=>[4,6,7,1,5,3,2]=>[4,2,1,7,3,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,3,5,4,1,6,7]=>[7,6,1,4,5,3,2]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[2,3,5,4,1,7,6]=>[6,7,1,4,5,3,2]=>[2,1,7,4,3,5,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,3,5,4,6,1,7]=>[7,1,6,4,5,3,2]=>[1,7,2,4,3,5,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,3,5,4,7,1,6]=>[6,1,7,4,5,3,2]=>[2,7,1,4,3,5,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,3,5,4,7,6,1]=>[1,6,7,4,5,3,2]=>[7,2,1,4,3,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,3,5,6,1,4,7]=>[7,4,1,6,5,3,2]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,3,5,6,1,7,4]=>[4,7,1,6,5,3,2]=>[4,1,7,2,3,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,3,5,6,4,1,7]=>[7,1,4,6,5,3,2]=>[1,7,4,2,3,5,6]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,3,5,6,4,7,1]=>[1,7,4,6,5,3,2]=>[7,1,4,2,3,5,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,3,5,6,7,1,4]=>[4,1,7,6,5,3,2]=>[4,7,1,2,3,5,6]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,3,5,6,7,4,1]=>[1,4,7,6,5,3,2]=>[7,4,1,2,3,5,6]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[2,3,5,7,1,4,6]=>[6,4,1,7,5,3,2]=>[2,4,7,1,3,5,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[2,3,5,7,1,6,4]=>[4,6,1,7,5,3,2]=>[4,2,7,1,3,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[2,3,5,7,4,1,6]=>[6,1,4,7,5,3,2]=>[2,7,4,1,3,5,6]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[2,3,5,7,4,6,1]=>[1,6,4,7,5,3,2]=>[7,2,4,1,3,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[2,3,5,7,6,1,4]=>[4,1,6,7,5,3,2]=>[4,7,2,1,3,5,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,3,5,7,6,4,1]=>[1,4,6,7,5,3,2]=>[7,4,2,1,3,5,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[2,3,6,1,4,5,7]=>[7,5,4,1,6,3,2]=>[1,3,4,7,2,5,6]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,3,6,1,4,7,5]=>[5,7,4,1,6,3,2]=>[3,1,4,7,2,5,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,3,6,1,5,4,7]=>[7,4,5,1,6,3,2]=>[1,4,3,7,2,5,6]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,3,6,1,5,7,4]=>[4,7,5,1,6,3,2]=>[4,1,3,7,2,5,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,3,6,1,7,4,5]=>[5,4,7,1,6,3,2]=>[3,4,1,7,2,5,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,3,6,1,7,5,4]=>[4,5,7,1,6,3,2]=>[4,3,1,7,2,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,3,6,4,1,5,7]=>[7,5,1,4,6,3,2]=>[1,3,7,4,2,5,6]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[2,3,6,4,1,7,5]=>[5,7,1,4,6,3,2]=>[3,1,7,4,2,5,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,3,6,4,5,1,7]=>[7,1,5,4,6,3,2]=>[1,7,3,4,2,5,6]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,3,6,4,5,7,1]=>[1,7,5,4,6,3,2]=>[7,1,3,4,2,5,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,3,6,4,7,1,5]=>[5,1,7,4,6,3,2]=>[3,7,1,4,2,5,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,3,6,4,7,5,1]=>[1,5,7,4,6,3,2]=>[7,3,1,4,2,5,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,3,6,5,1,4,7]=>[7,4,1,5,6,3,2]=>[1,4,7,3,2,5,6]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,3,6,5,1,7,4]=>[4,7,1,5,6,3,2]=>[4,1,7,3,2,5,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,3,6,5,4,1,7]=>[7,1,4,5,6,3,2]=>[1,7,4,3,2,5,6]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[2,3,6,5,4,7,1]=>[1,7,4,5,6,3,2]=>[7,1,4,3,2,5,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,3,6,5,7,1,4]=>[4,1,7,5,6,3,2]=>[4,7,1,3,2,5,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[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]=>[3,4,7,1,2,5,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[2,3,6,7,1,5,4]=>[4,5,1,7,6,3,2]=>[4,3,7,1,2,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[2,3,6,7,4,1,5]=>[5,1,4,7,6,3,2]=>[3,7,4,1,2,5,6]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[2,3,6,7,4,5,1]=>[1,5,4,7,6,3,2]=>[7,3,4,1,2,5,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[2,3,6,7,5,1,4]=>[4,1,5,7,6,3,2]=>[4,7,3,1,2,5,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[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]=>[2,3,4,7,1,5,6]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[2,3,7,1,4,6,5]=>[5,6,4,1,7,3,2]=>[3,2,4,7,1,5,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,3,7,1,5,4,6]=>[6,4,5,1,7,3,2]=>[2,4,3,7,1,5,6]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,3,7,1,5,6,4]=>[4,6,5,1,7,3,2]=>[4,2,3,7,1,5,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,3,7,1,6,4,5]=>[5,4,6,1,7,3,2]=>[3,4,2,7,1,5,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,3,7,1,6,5,4]=>[4,5,6,1,7,3,2]=>[4,3,2,7,1,5,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,3,7,4,1,5,6]=>[6,5,1,4,7,3,2]=>[2,3,7,4,1,5,6]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[2,3,7,4,1,6,5]=>[5,6,1,4,7,3,2]=>[3,2,7,4,1,5,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,3,7,4,5,1,6]=>[6,1,5,4,7,3,2]=>[2,7,3,4,1,5,6]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,3,7,4,5,6,1]=>[1,6,5,4,7,3,2]=>[7,2,3,4,1,5,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,3,7,4,6,1,5]=>[5,1,6,4,7,3,2]=>[3,7,2,4,1,5,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,3,7,4,6,5,1]=>[1,5,6,4,7,3,2]=>[7,3,2,4,1,5,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,3,7,5,1,4,6]=>[6,4,1,5,7,3,2]=>[2,4,7,3,1,5,6]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[2,3,7,5,1,6,4]=>[4,6,1,5,7,3,2]=>[4,2,7,3,1,5,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,3,7,5,4,1,6]=>[6,1,4,5,7,3,2]=>[2,7,4,3,1,5,6]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[2,3,7,5,4,6,1]=>[1,6,4,5,7,3,2]=>[7,2,4,3,1,5,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,3,7,5,6,1,4]=>[4,1,6,5,7,3,2]=>[4,7,2,3,1,5,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2]=>[7,4,2,3,1,5,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,3,7,6,1,4,5]=>[5,4,1,6,7,3,2]=>[3,4,7,2,1,5,6]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[2,3,7,6,1,5,4]=>[4,5,1,6,7,3,2]=>[4,3,7,2,1,5,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,3,7,6,4,1,5]=>[5,1,4,6,7,3,2]=>[3,7,4,2,1,5,6]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[2,3,7,6,4,5,1]=>[1,5,4,6,7,3,2]=>[7,3,4,2,1,5,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,3,7,6,5,1,4]=>[4,1,5,6,7,3,2]=>[4,7,3,2,1,5,6]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2]=>[7,4,3,2,1,5,6]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[2,4,1,3,5,6,7]=>[7,6,5,3,1,4,2]=>[1,2,3,5,7,4,6]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[2,4,1,3,5,7,6]=>[6,7,5,3,1,4,2]=>[2,1,3,5,7,4,6]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[2,4,1,3,6,5,7]=>[7,5,6,3,1,4,2]=>[1,3,2,5,7,4,6]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[2,4,1,3,6,7,5]=>[5,7,6,3,1,4,2]=>[3,1,2,5,7,4,6]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[2,4,1,3,7,5,6]=>[6,5,7,3,1,4,2]=>[2,3,1,5,7,4,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,4,1,3,7,6,5]=>[5,6,7,3,1,4,2]=>[3,2,1,5,7,4,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,4,1,5,3,6,7]=>[7,6,3,5,1,4,2]=>[1,2,5,3,7,4,6]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[2,4,1,5,3,7,6]=>[6,7,3,5,1,4,2]=>[2,1,5,3,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,4,1,5,6,3,7]=>[7,3,6,5,1,4,2]=>[1,5,2,3,7,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,4,1,5,6,7,3]=>[3,7,6,5,1,4,2]=>[5,1,2,3,7,4,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,4,1,5,7,3,6]=>[6,3,7,5,1,4,2]=>[2,5,1,3,7,4,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,4,1,5,7,6,3]=>[3,6,7,5,1,4,2]=>[5,2,1,3,7,4,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[2,4,1,6,3,5,7]=>[7,5,3,6,1,4,2]=>[1,3,5,2,7,4,6]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,4,1,6,3,7,5]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,4,1,6,5,3,7]=>[7,3,5,6,1,4,2]=>[1,5,3,2,7,4,6]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,4,1,6,5,7,3]=>[3,7,5,6,1,4,2]=>[5,1,3,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,4,1,6,7,3,5]=>[5,3,7,6,1,4,2]=>[3,5,1,2,7,4,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,4,1,6,7,5,3]=>[3,5,7,6,1,4,2]=>[5,3,1,2,7,4,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[2,4,1,7,3,5,6]=>[6,5,3,7,1,4,2]=>[2,3,5,1,7,4,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,4,1,7,3,6,5]=>[5,6,3,7,1,4,2]=>[3,2,5,1,7,4,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,4,1,7,5,3,6]=>[6,3,5,7,1,4,2]=>[2,5,3,1,7,4,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,4,1,7,5,6,3]=>[3,6,5,7,1,4,2]=>[5,2,3,1,7,4,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,4,1,7,6,3,5]=>[5,3,6,7,1,4,2]=>[3,5,2,1,7,4,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,4,1,7,6,5,3]=>[3,5,6,7,1,4,2]=>[5,3,2,1,7,4,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,4,3,1,5,6,7]=>[7,6,5,1,3,4,2]=>[1,2,3,7,5,4,6]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[2,4,3,1,5,7,6]=>[6,7,5,1,3,4,2]=>[2,1,3,7,5,4,6]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[2,4,3,1,6,5,7]=>[7,5,6,1,3,4,2]=>[1,3,2,7,5,4,6]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[2,4,3,1,6,7,5]=>[5,7,6,1,3,4,2]=>[3,1,2,7,5,4,6]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[2,4,3,1,7,5,6]=>[6,5,7,1,3,4,2]=>[2,3,1,7,5,4,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,4,3,1,7,6,5]=>[5,6,7,1,3,4,2]=>[3,2,1,7,5,4,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,4,3,5,1,6,7]=>[7,6,1,5,3,4,2]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[2,4,3,5,1,7,6]=>[6,7,1,5,3,4,2]=>[2,1,7,3,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,4,3,5,6,1,7]=>[7,1,6,5,3,4,2]=>[1,7,2,3,5,4,6]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,4,3,5,6,7,1]=>[1,7,6,5,3,4,2]=>[7,1,2,3,5,4,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,4,3,5,7,1,6]=>[6,1,7,5,3,4,2]=>[2,7,1,3,5,4,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,4,3,5,7,6,1]=>[1,6,7,5,3,4,2]=>[7,2,1,3,5,4,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[2,4,3,6,1,5,7]=>[7,5,1,6,3,4,2]=>[1,3,7,2,5,4,6]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,4,3,6,1,7,5]=>[5,7,1,6,3,4,2]=>[3,1,7,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,4,3,6,5,1,7]=>[7,1,5,6,3,4,2]=>[1,7,3,2,5,4,6]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,4,3,6,5,7,1]=>[1,7,5,6,3,4,2]=>[7,1,3,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,4,3,6,7,1,5]=>[5,1,7,6,3,4,2]=>[3,7,1,2,5,4,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,4,3,6,7,5,1]=>[1,5,7,6,3,4,2]=>[7,3,1,2,5,4,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[2,4,3,7,1,5,6]=>[6,5,1,7,3,4,2]=>[2,3,7,1,5,4,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,4,3,7,1,6,5]=>[5,6,1,7,3,4,2]=>[3,2,7,1,5,4,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,4,3,7,5,1,6]=>[6,1,5,7,3,4,2]=>[2,7,3,1,5,4,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,4,3,7,5,6,1]=>[1,6,5,7,3,4,2]=>[7,2,3,1,5,4,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,4,3,7,6,1,5]=>[5,1,6,7,3,4,2]=>[3,7,2,1,5,4,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2]=>[7,3,2,1,5,4,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,4,5,1,3,6,7]=>[7,6,3,1,5,4,2]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,4,5,1,3,7,6]=>[6,7,3,1,5,4,2]=>[2,1,5,7,3,4,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,4,5,1,6,3,7]=>[7,3,6,1,5,4,2]=>[1,5,2,7,3,4,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,4,5,1,6,7,3]=>[3,7,6,1,5,4,2]=>[5,1,2,7,3,4,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,4,5,1,7,3,6]=>[6,3,7,1,5,4,2]=>[2,5,1,7,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,4,5,1,7,6,3]=>[3,6,7,1,5,4,2]=>[5,2,1,7,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,4,5,3,1,6,7]=>[7,6,1,3,5,4,2]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[2,4,5,3,1,7,6]=>[6,7,1,3,5,4,2]=>[2,1,7,5,3,4,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,4,5,3,6,1,7]=>[7,1,6,3,5,4,2]=>[1,7,2,5,3,4,6]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,4,5,3,6,7,1]=>[1,7,6,3,5,4,2]=>[7,1,2,5,3,4,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,4,5,3,7,1,6]=>[6,1,7,3,5,4,2]=>[2,7,1,5,3,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,4,5,3,7,6,1]=>[1,6,7,3,5,4,2]=>[7,2,1,5,3,4,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,4,5,6,1,3,7]=>[7,3,1,6,5,4,2]=>[1,5,7,2,3,4,6]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,4,5,6,1,7,3]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,4,5,6,3,1,7]=>[7,1,3,6,5,4,2]=>[1,7,5,2,3,4,6]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,4,5,6,3,7,1]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,4,5,6,7,1,3]=>[3,1,7,6,5,4,2]=>[5,7,1,2,3,4,6]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,4,5,6,7,3,1]=>[1,3,7,6,5,4,2]=>[7,5,1,2,3,4,6]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[2,4,5,7,1,3,6]=>[6,3,1,7,5,4,2]=>[2,5,7,1,3,4,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[2,4,5,7,1,6,3]=>[3,6,1,7,5,4,2]=>[5,2,7,1,3,4,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[2,4,5,7,3,1,6]=>[6,1,3,7,5,4,2]=>[2,7,5,1,3,4,6]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[2,4,5,7,3,6,1]=>[1,6,3,7,5,4,2]=>[7,2,5,1,3,4,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[2,4,5,7,6,1,3]=>[3,1,6,7,5,4,2]=>[5,7,2,1,3,4,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,4,5,7,6,3,1]=>[1,3,6,7,5,4,2]=>[7,5,2,1,3,4,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[2,4,6,1,3,5,7]=>[7,5,3,1,6,4,2]=>[1,3,5,7,2,4,6]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,4,6,1,3,7,5]=>[5,7,3,1,6,4,2]=>[3,1,5,7,2,4,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,4,6,1,5,3,7]=>[7,3,5,1,6,4,2]=>[1,5,3,7,2,4,6]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,4,6,1,5,7,3]=>[3,7,5,1,6,4,2]=>[5,1,3,7,2,4,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,4,6,1,7,3,5]=>[5,3,7,1,6,4,2]=>[3,5,1,7,2,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,4,6,1,7,5,3]=>[3,5,7,1,6,4,2]=>[5,3,1,7,2,4,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,4,6,3,1,5,7]=>[7,5,1,3,6,4,2]=>[1,3,7,5,2,4,6]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[2,4,6,3,1,7,5]=>[5,7,1,3,6,4,2]=>[3,1,7,5,2,4,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,4,6,3,5,1,7]=>[7,1,5,3,6,4,2]=>[1,7,3,5,2,4,6]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,4,6,3,5,7,1]=>[1,7,5,3,6,4,2]=>[7,1,3,5,2,4,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,4,6,3,7,1,5]=>[5,1,7,3,6,4,2]=>[3,7,1,5,2,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,4,6,3,7,5,1]=>[1,5,7,3,6,4,2]=>[7,3,1,5,2,4,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,4,6,5,1,3,7]=>[7,3,1,5,6,4,2]=>[1,5,7,3,2,4,6]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,4,6,5,1,7,3]=>[3,7,1,5,6,4,2]=>[5,1,7,3,2,4,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,4,6,5,3,1,7]=>[7,1,3,5,6,4,2]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[2,4,6,5,3,7,1]=>[1,7,3,5,6,4,2]=>[7,1,5,3,2,4,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,4,6,5,7,1,3]=>[3,1,7,5,6,4,2]=>[5,7,1,3,2,4,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[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]=>[3,5,7,1,2,4,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[2,4,6,7,1,5,3]=>[3,5,1,7,6,4,2]=>[5,3,7,1,2,4,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[2,4,6,7,3,1,5]=>[5,1,3,7,6,4,2]=>[3,7,5,1,2,4,6]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[2,4,6,7,3,5,1]=>[1,5,3,7,6,4,2]=>[7,3,5,1,2,4,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[2,4,6,7,5,1,3]=>[3,1,5,7,6,4,2]=>[5,7,3,1,2,4,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[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]=>[2,3,5,7,1,4,6]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[2,4,7,1,3,6,5]=>[5,6,3,1,7,4,2]=>[3,2,5,7,1,4,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,4,7,1,5,3,6]=>[6,3,5,1,7,4,2]=>[2,5,3,7,1,4,6]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,4,7,1,5,6,3]=>[3,6,5,1,7,4,2]=>[5,2,3,7,1,4,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,4,7,1,6,3,5]=>[5,3,6,1,7,4,2]=>[3,5,2,7,1,4,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,4,7,1,6,5,3]=>[3,5,6,1,7,4,2]=>[5,3,2,7,1,4,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,4,7,3,1,5,6]=>[6,5,1,3,7,4,2]=>[2,3,7,5,1,4,6]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[2,4,7,3,1,6,5]=>[5,6,1,3,7,4,2]=>[3,2,7,5,1,4,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,4,7,3,5,1,6]=>[6,1,5,3,7,4,2]=>[2,7,3,5,1,4,6]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,4,7,3,5,6,1]=>[1,6,5,3,7,4,2]=>[7,2,3,5,1,4,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,4,7,3,6,1,5]=>[5,1,6,3,7,4,2]=>[3,7,2,5,1,4,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,4,7,3,6,5,1]=>[1,5,6,3,7,4,2]=>[7,3,2,5,1,4,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,4,7,5,1,3,6]=>[6,3,1,5,7,4,2]=>[2,5,7,3,1,4,6]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[2,4,7,5,1,6,3]=>[3,6,1,5,7,4,2]=>[5,2,7,3,1,4,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,4,7,5,3,1,6]=>[6,1,3,5,7,4,2]=>[2,7,5,3,1,4,6]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[2,4,7,5,3,6,1]=>[1,6,3,5,7,4,2]=>[7,2,5,3,1,4,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,4,7,5,6,1,3]=>[3,1,6,5,7,4,2]=>[5,7,2,3,1,4,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,4,7,5,6,3,1]=>[1,3,6,5,7,4,2]=>[7,5,2,3,1,4,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,4,7,6,1,3,5]=>[5,3,1,6,7,4,2]=>[3,5,7,2,1,4,6]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[2,4,7,6,1,5,3]=>[3,5,1,6,7,4,2]=>[5,3,7,2,1,4,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,4,7,6,3,1,5]=>[5,1,3,6,7,4,2]=>[3,7,5,2,1,4,6]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[2,4,7,6,3,5,1]=>[1,5,3,6,7,4,2]=>[7,3,5,2,1,4,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,4,7,6,5,1,3]=>[3,1,5,6,7,4,2]=>[5,7,3,2,1,4,6]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,4,7,6,5,3,1]=>[1,3,5,6,7,4,2]=>[7,5,3,2,1,4,6]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[2,5,1,3,4,6,7]=>[7,6,4,3,1,5,2]=>[1,2,4,5,7,3,6]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[2,5,1,3,4,7,6]=>[6,7,4,3,1,5,2]=>[2,1,4,5,7,3,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,5,1,3,6,4,7]=>[7,4,6,3,1,5,2]=>[1,4,2,5,7,3,6]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[2,5,1,3,6,7,4]=>[4,7,6,3,1,5,2]=>[4,1,2,5,7,3,6]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[2,5,1,3,7,4,6]=>[6,4,7,3,1,5,2]=>[2,4,1,5,7,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,5,1,3,7,6,4]=>[4,6,7,3,1,5,2]=>[4,2,1,5,7,3,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,5,1,4,3,6,7]=>[7,6,3,4,1,5,2]=>[1,2,5,4,7,3,6]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[2,5,1,4,3,7,6]=>[6,7,3,4,1,5,2]=>[2,1,5,4,7,3,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,5,1,4,6,3,7]=>[7,3,6,4,1,5,2]=>[1,5,2,4,7,3,6]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[2,5,1,4,6,7,3]=>[3,7,6,4,1,5,2]=>[5,1,2,4,7,3,6]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[2,5,1,4,7,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,5,1,4,7,6,3]=>[3,6,7,4,1,5,2]=>[5,2,1,4,7,3,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,5,1,6,3,4,7]=>[7,4,3,6,1,5,2]=>[1,4,5,2,7,3,6]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,5,1,6,3,7,4]=>[4,7,3,6,1,5,2]=>[4,1,5,2,7,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,5,1,6,4,3,7]=>[7,3,4,6,1,5,2]=>[1,5,4,2,7,3,6]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,5,1,6,4,7,3]=>[3,7,4,6,1,5,2]=>[5,1,4,2,7,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,5,1,6,7,3,4]=>[4,3,7,6,1,5,2]=>[4,5,1,2,7,3,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,5,1,6,7,4,3]=>[3,4,7,6,1,5,2]=>[5,4,1,2,7,3,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[2,5,1,7,3,4,6]=>[6,4,3,7,1,5,2]=>[2,4,5,1,7,3,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,5,1,7,3,6,4]=>[4,6,3,7,1,5,2]=>[4,2,5,1,7,3,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,5,1,7,4,3,6]=>[6,3,4,7,1,5,2]=>[2,5,4,1,7,3,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,5,1,7,4,6,3]=>[3,6,4,7,1,5,2]=>[5,2,4,1,7,3,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,5,1,7,6,3,4]=>[4,3,6,7,1,5,2]=>[4,5,2,1,7,3,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,5,1,7,6,4,3]=>[3,4,6,7,1,5,2]=>[5,4,2,1,7,3,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,5,3,1,4,6,7]=>[7,6,4,1,3,5,2]=>[1,2,4,7,5,3,6]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[2,5,3,1,4,7,6]=>[6,7,4,1,3,5,2]=>[2,1,4,7,5,3,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,5,3,1,6,4,7]=>[7,4,6,1,3,5,2]=>[1,4,2,7,5,3,6]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[2,5,3,1,6,7,4]=>[4,7,6,1,3,5,2]=>[4,1,2,7,5,3,6]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[2,5,3,1,7,4,6]=>[6,4,7,1,3,5,2]=>[2,4,1,7,5,3,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,5,3,1,7,6,4]=>[4,6,7,1,3,5,2]=>[4,2,1,7,5,3,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,5,3,4,1,6,7]=>[7,6,1,4,3,5,2]=>[1,2,7,4,5,3,6]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[2,5,3,4,1,7,6]=>[6,7,1,4,3,5,2]=>[2,1,7,4,5,3,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,5,3,4,6,1,7]=>[7,1,6,4,3,5,2]=>[1,7,2,4,5,3,6]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[2,5,3,4,6,7,1]=>[1,7,6,4,3,5,2]=>[7,1,2,4,5,3,6]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[2,5,3,4,7,1,6]=>[6,1,7,4,3,5,2]=>[2,7,1,4,5,3,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,5,3,4,7,6,1]=>[1,6,7,4,3,5,2]=>[7,2,1,4,5,3,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,5,3,6,1,4,7]=>[7,4,1,6,3,5,2]=>[1,4,7,2,5,3,6]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,5,3,6,1,7,4]=>[4,7,1,6,3,5,2]=>[4,1,7,2,5,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,5,3,6,4,1,7]=>[7,1,4,6,3,5,2]=>[1,7,4,2,5,3,6]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,5,3,6,4,7,1]=>[1,7,4,6,3,5,2]=>[7,1,4,2,5,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,5,3,6,7,1,4]=>[4,1,7,6,3,5,2]=>[4,7,1,2,5,3,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,5,3,6,7,4,1]=>[1,4,7,6,3,5,2]=>[7,4,1,2,5,3,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[2,5,3,7,1,4,6]=>[6,4,1,7,3,5,2]=>[2,4,7,1,5,3,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,5,3,7,1,6,4]=>[4,6,1,7,3,5,2]=>[4,2,7,1,5,3,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,5,3,7,4,1,6]=>[6,1,4,7,3,5,2]=>[2,7,4,1,5,3,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,5,3,7,4,6,1]=>[1,6,4,7,3,5,2]=>[7,2,4,1,5,3,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,5,3,7,6,1,4]=>[4,1,6,7,3,5,2]=>[4,7,2,1,5,3,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,5,3,7,6,4,1]=>[1,4,6,7,3,5,2]=>[7,4,2,1,5,3,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,5,4,1,3,6,7]=>[7,6,3,1,4,5,2]=>[1,2,5,7,4,3,6]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[2,5,4,1,3,7,6]=>[6,7,3,1,4,5,2]=>[2,1,5,7,4,3,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,5,4,1,6,3,7]=>[7,3,6,1,4,5,2]=>[1,5,2,7,4,3,6]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[2,5,4,1,6,7,3]=>[3,7,6,1,4,5,2]=>[5,1,2,7,4,3,6]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[2,5,4,1,7,3,6]=>[6,3,7,1,4,5,2]=>[2,5,1,7,4,3,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,5,4,1,7,6,3]=>[3,6,7,1,4,5,2]=>[5,2,1,7,4,3,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,5,4,3,1,6,7]=>[7,6,1,3,4,5,2]=>[1,2,7,5,4,3,6]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[2,5,4,3,1,7,6]=>[6,7,1,3,4,5,2]=>[2,1,7,5,4,3,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,5,4,3,6,1,7]=>[7,1,6,3,4,5,2]=>[1,7,2,5,4,3,6]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2]=>[7,1,2,5,4,3,6]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[2,5,4,3,7,1,6]=>[6,1,7,3,4,5,2]=>[2,7,1,5,4,3,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,5,4,3,7,6,1]=>[1,6,7,3,4,5,2]=>[7,2,1,5,4,3,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,5,4,6,1,3,7]=>[7,3,1,6,4,5,2]=>[1,5,7,2,4,3,6]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,5,4,6,1,7,3]=>[3,7,1,6,4,5,2]=>[5,1,7,2,4,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,5,4,6,3,1,7]=>[7,1,3,6,4,5,2]=>[1,7,5,2,4,3,6]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,5,4,6,3,7,1]=>[1,7,3,6,4,5,2]=>[7,1,5,2,4,3,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,5,4,6,7,1,3]=>[3,1,7,6,4,5,2]=>[5,7,1,2,4,3,6]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,5,4,6,7,3,1]=>[1,3,7,6,4,5,2]=>[7,5,1,2,4,3,6]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[2,5,4,7,1,3,6]=>[6,3,1,7,4,5,2]=>[2,5,7,1,4,3,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,5,4,7,1,6,3]=>[3,6,1,7,4,5,2]=>[5,2,7,1,4,3,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,5,4,7,3,1,6]=>[6,1,3,7,4,5,2]=>[2,7,5,1,4,3,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,5,4,7,3,6,1]=>[1,6,3,7,4,5,2]=>[7,2,5,1,4,3,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,5,4,7,6,1,3]=>[3,1,6,7,4,5,2]=>[5,7,2,1,4,3,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,5,4,7,6,3,1]=>[1,3,6,7,4,5,2]=>[7,5,2,1,4,3,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,5,6,1,3,4,7]=>[7,4,3,1,6,5,2]=>[1,4,5,7,2,3,6]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,5,6,1,3,7,4]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,5,6,1,4,3,7]=>[7,3,4,1,6,5,2]=>[1,5,4,7,2,3,6]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,5,6,1,4,7,3]=>[3,7,4,1,6,5,2]=>[5,1,4,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,5,6,1,7,3,4]=>[4,3,7,1,6,5,2]=>[4,5,1,7,2,3,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,5,6,1,7,4,3]=>[3,4,7,1,6,5,2]=>[5,4,1,7,2,3,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,5,6,3,1,4,7]=>[7,4,1,3,6,5,2]=>[1,4,7,5,2,3,6]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[2,5,6,3,1,7,4]=>[4,7,1,3,6,5,2]=>[4,1,7,5,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,5,6,3,4,1,7]=>[7,1,4,3,6,5,2]=>[1,7,4,5,2,3,6]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,5,6,3,4,7,1]=>[1,7,4,3,6,5,2]=>[7,1,4,5,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,5,6,3,7,1,4]=>[4,1,7,3,6,5,2]=>[4,7,1,5,2,3,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,5,6,3,7,4,1]=>[1,4,7,3,6,5,2]=>[7,4,1,5,2,3,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,5,6,4,1,3,7]=>[7,3,1,4,6,5,2]=>[1,5,7,4,2,3,6]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,5,6,4,1,7,3]=>[3,7,1,4,6,5,2]=>[5,1,7,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,5,6,4,3,1,7]=>[7,1,3,4,6,5,2]=>[1,7,5,4,2,3,6]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[2,5,6,4,3,7,1]=>[1,7,3,4,6,5,2]=>[7,1,5,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,5,6,4,7,1,3]=>[3,1,7,4,6,5,2]=>[5,7,1,4,2,3,6]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,5,6,4,7,3,1]=>[1,3,7,4,6,5,2]=>[7,5,1,4,2,3,6]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[2,5,6,7,1,3,4]=>[4,3,1,7,6,5,2]=>[4,5,7,1,2,3,6]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[2,5,6,7,1,4,3]=>[3,4,1,7,6,5,2]=>[5,4,7,1,2,3,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[2,5,6,7,3,1,4]=>[4,1,3,7,6,5,2]=>[4,7,5,1,2,3,6]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[2,5,6,7,3,4,1]=>[1,4,3,7,6,5,2]=>[7,4,5,1,2,3,6]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[2,5,6,7,4,1,3]=>[3,1,4,7,6,5,2]=>[5,7,4,1,2,3,6]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,5,6,7,4,3,1]=>[1,3,4,7,6,5,2]=>[7,5,4,1,2,3,6]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[2,5,7,1,3,4,6]=>[6,4,3,1,7,5,2]=>[2,4,5,7,1,3,6]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[2,5,7,1,3,6,4]=>[4,6,3,1,7,5,2]=>[4,2,5,7,1,3,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,5,7,1,4,3,6]=>[6,3,4,1,7,5,2]=>[2,5,4,7,1,3,6]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,5,7,1,4,6,3]=>[3,6,4,1,7,5,2]=>[5,2,4,7,1,3,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,5,7,1,6,3,4]=>[4,3,6,1,7,5,2]=>[4,5,2,7,1,3,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,5,7,1,6,4,3]=>[3,4,6,1,7,5,2]=>[5,4,2,7,1,3,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,5,7,3,1,4,6]=>[6,4,1,3,7,5,2]=>[2,4,7,5,1,3,6]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[2,5,7,3,1,6,4]=>[4,6,1,3,7,5,2]=>[4,2,7,5,1,3,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,5,7,3,4,1,6]=>[6,1,4,3,7,5,2]=>[2,7,4,5,1,3,6]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,5,7,3,4,6,1]=>[1,6,4,3,7,5,2]=>[7,2,4,5,1,3,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,5,7,3,6,1,4]=>[4,1,6,3,7,5,2]=>[4,7,2,5,1,3,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2]=>[7,4,2,5,1,3,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,5,7,4,1,3,6]=>[6,3,1,4,7,5,2]=>[2,5,7,4,1,3,6]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[2,5,7,4,1,6,3]=>[3,6,1,4,7,5,2]=>[5,2,7,4,1,3,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,5,7,4,3,1,6]=>[6,1,3,4,7,5,2]=>[2,7,5,4,1,3,6]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[2,5,7,4,3,6,1]=>[1,6,3,4,7,5,2]=>[7,2,5,4,1,3,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,5,7,4,6,1,3]=>[3,1,6,4,7,5,2]=>[5,7,2,4,1,3,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,5,7,4,6,3,1]=>[1,3,6,4,7,5,2]=>[7,5,2,4,1,3,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,5,7,6,1,3,4]=>[4,3,1,6,7,5,2]=>[4,5,7,2,1,3,6]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[2,5,7,6,1,4,3]=>[3,4,1,6,7,5,2]=>[5,4,7,2,1,3,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,5,7,6,3,1,4]=>[4,1,3,6,7,5,2]=>[4,7,5,2,1,3,6]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[2,5,7,6,3,4,1]=>[1,4,3,6,7,5,2]=>[7,4,5,2,1,3,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,5,7,6,4,1,3]=>[3,1,4,6,7,5,2]=>[5,7,4,2,1,3,6]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,5,7,6,4,3,1]=>[1,3,4,6,7,5,2]=>[7,5,4,2,1,3,6]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[2,6,1,3,4,5,7]=>[7,5,4,3,1,6,2]=>[1,3,4,5,7,2,6]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,6,1,3,4,7,5]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,6,1,3,5,4,7]=>[7,4,5,3,1,6,2]=>[1,4,3,5,7,2,6]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,6,1,3,5,7,4]=>[4,7,5,3,1,6,2]=>[4,1,3,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,6,1,3,7,4,5]=>[5,4,7,3,1,6,2]=>[3,4,1,5,7,2,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,6,1,3,7,5,4]=>[4,5,7,3,1,6,2]=>[4,3,1,5,7,2,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,6,1,4,3,5,7]=>[7,5,3,4,1,6,2]=>[1,3,5,4,7,2,6]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,6,1,4,3,7,5]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,6,1,4,5,3,7]=>[7,3,5,4,1,6,2]=>[1,5,3,4,7,2,6]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,6,1,4,5,7,3]=>[3,7,5,4,1,6,2]=>[5,1,3,4,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,6,1,4,7,3,5]=>[5,3,7,4,1,6,2]=>[3,5,1,4,7,2,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,6,1,4,7,5,3]=>[3,5,7,4,1,6,2]=>[5,3,1,4,7,2,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,6,1,5,3,4,7]=>[7,4,3,5,1,6,2]=>[1,4,5,3,7,2,6]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,6,1,5,3,7,4]=>[4,7,3,5,1,6,2]=>[4,1,5,3,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,6,1,5,4,3,7]=>[7,3,4,5,1,6,2]=>[1,5,4,3,7,2,6]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,6,1,5,4,7,3]=>[3,7,4,5,1,6,2]=>[5,1,4,3,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,6,1,5,7,3,4]=>[4,3,7,5,1,6,2]=>[4,5,1,3,7,2,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,6,1,5,7,4,3]=>[3,4,7,5,1,6,2]=>[5,4,1,3,7,2,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,6,1,7,3,4,5]=>[5,4,3,7,1,6,2]=>[3,4,5,1,7,2,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,6,1,7,3,5,4]=>[4,5,3,7,1,6,2]=>[4,3,5,1,7,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,1,7,4,3,5]=>[5,3,4,7,1,6,2]=>[3,5,4,1,7,2,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,6,1,7,4,5,3]=>[3,5,4,7,1,6,2]=>[5,3,4,1,7,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,1,7,5,3,4]=>[4,3,5,7,1,6,2]=>[4,5,3,1,7,2,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,6,1,7,5,4,3]=>[3,4,5,7,1,6,2]=>[5,4,3,1,7,2,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,6,3,1,4,5,7]=>[7,5,4,1,3,6,2]=>[1,3,4,7,5,2,6]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[2,6,3,1,4,7,5]=>[5,7,4,1,3,6,2]=>[3,1,4,7,5,2,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,6,3,1,5,4,7]=>[7,4,5,1,3,6,2]=>[1,4,3,7,5,2,6]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,6,3,1,5,7,4]=>[4,7,5,1,3,6,2]=>[4,1,3,7,5,2,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,6,3,1,7,4,5]=>[5,4,7,1,3,6,2]=>[3,4,1,7,5,2,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,6,3,1,7,5,4]=>[4,5,7,1,3,6,2]=>[4,3,1,7,5,2,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,6,3,4,1,5,7]=>[7,5,1,4,3,6,2]=>[1,3,7,4,5,2,6]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,6,3,4,1,7,5]=>[5,7,1,4,3,6,2]=>[3,1,7,4,5,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,6,3,4,5,1,7]=>[7,1,5,4,3,6,2]=>[1,7,3,4,5,2,6]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,6,3,4,5,7,1]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,6,3,4,7,1,5]=>[5,1,7,4,3,6,2]=>[3,7,1,4,5,2,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,6,3,4,7,5,1]=>[1,5,7,4,3,6,2]=>[7,3,1,4,5,2,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,6,3,5,1,4,7]=>[7,4,1,5,3,6,2]=>[1,4,7,3,5,2,6]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,6,3,5,1,7,4]=>[4,7,1,5,3,6,2]=>[4,1,7,3,5,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,6,3,5,4,1,7]=>[7,1,4,5,3,6,2]=>[1,7,4,3,5,2,6]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[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]=>[4,7,1,3,5,2,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,6,3,5,7,4,1]=>[1,4,7,5,3,6,2]=>[7,4,1,3,5,2,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,6,3,7,1,4,5]=>[5,4,1,7,3,6,2]=>[3,4,7,1,5,2,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,6,3,7,1,5,4]=>[4,5,1,7,3,6,2]=>[4,3,7,1,5,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,3,7,4,1,5]=>[5,1,4,7,3,6,2]=>[3,7,4,1,5,2,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,6,3,7,4,5,1]=>[1,5,4,7,3,6,2]=>[7,3,4,1,5,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,3,7,5,1,4]=>[4,1,5,7,3,6,2]=>[4,7,3,1,5,2,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,6,3,7,5,4,1]=>[1,4,5,7,3,6,2]=>[7,4,3,1,5,2,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,6,4,1,3,5,7]=>[7,5,3,1,4,6,2]=>[1,3,5,7,4,2,6]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[2,6,4,1,3,7,5]=>[5,7,3,1,4,6,2]=>[3,1,5,7,4,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,6,4,1,5,3,7]=>[7,3,5,1,4,6,2]=>[1,5,3,7,4,2,6]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,6,4,1,5,7,3]=>[3,7,5,1,4,6,2]=>[5,1,3,7,4,2,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,6,4,1,7,3,5]=>[5,3,7,1,4,6,2]=>[3,5,1,7,4,2,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,6,4,1,7,5,3]=>[3,5,7,1,4,6,2]=>[5,3,1,7,4,2,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,6,4,3,1,5,7]=>[7,5,1,3,4,6,2]=>[1,3,7,5,4,2,6]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[2,6,4,3,1,7,5]=>[5,7,1,3,4,6,2]=>[3,1,7,5,4,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,6,4,3,5,1,7]=>[7,1,5,3,4,6,2]=>[1,7,3,5,4,2,6]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[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]=>[3,7,1,5,4,2,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,6,4,3,7,5,1]=>[1,5,7,3,4,6,2]=>[7,3,1,5,4,2,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,6,4,5,1,3,7]=>[7,3,1,5,4,6,2]=>[1,5,7,3,4,2,6]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,6,4,5,1,7,3]=>[3,7,1,5,4,6,2]=>[5,1,7,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,6,4,5,3,1,7]=>[7,1,3,5,4,6,2]=>[1,7,5,3,4,2,6]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[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]=>[5,7,1,3,4,2,6]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,6,4,5,7,3,1]=>[1,3,7,5,4,6,2]=>[7,5,1,3,4,2,6]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[2,6,4,7,1,3,5]=>[5,3,1,7,4,6,2]=>[3,5,7,1,4,2,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,6,4,7,1,5,3]=>[3,5,1,7,4,6,2]=>[5,3,7,1,4,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,4,7,3,1,5]=>[5,1,3,7,4,6,2]=>[3,7,5,1,4,2,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2]=>[7,3,5,1,4,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,4,7,5,1,3]=>[3,1,5,7,4,6,2]=>[5,7,3,1,4,2,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,6,4,7,5,3,1]=>[1,3,5,7,4,6,2]=>[7,5,3,1,4,2,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,6,5,1,3,4,7]=>[7,4,3,1,5,6,2]=>[1,4,5,7,3,2,6]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[2,6,5,1,3,7,4]=>[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,6,5,1,4,3,7]=>[7,3,4,1,5,6,2]=>[1,5,4,7,3,2,6]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,6,5,1,4,7,3]=>[3,7,4,1,5,6,2]=>[5,1,4,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,6,5,1,7,3,4]=>[4,3,7,1,5,6,2]=>[4,5,1,7,3,2,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,6,5,1,7,4,3]=>[3,4,7,1,5,6,2]=>[5,4,1,7,3,2,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,6,5,3,1,4,7]=>[7,4,1,3,5,6,2]=>[1,4,7,5,3,2,6]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[2,6,5,3,1,7,4]=>[4,7,1,3,5,6,2]=>[4,1,7,5,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,6,5,3,4,1,7]=>[7,1,4,3,5,6,2]=>[1,7,4,5,3,2,6]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[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]=>[4,7,1,5,3,2,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,6,5,3,7,4,1]=>[1,4,7,3,5,6,2]=>[7,4,1,5,3,2,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,6,5,4,1,3,7]=>[7,3,1,4,5,6,2]=>[1,5,7,4,3,2,6]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[2,6,5,4,1,7,3]=>[3,7,1,4,5,6,2]=>[5,1,7,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,6,5,4,3,1,7]=>[7,1,3,4,5,6,2]=>[1,7,5,4,3,2,6]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2]=>[7,1,5,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,6,5,4,7,1,3]=>[3,1,7,4,5,6,2]=>[5,7,1,4,3,2,6]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,6,5,4,7,3,1]=>[1,3,7,4,5,6,2]=>[7,5,1,4,3,2,6]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,6,5,7,1,3,4]=>[4,3,1,7,5,6,2]=>[4,5,7,1,3,2,6]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,6,5,7,1,4,3]=>[3,4,1,7,5,6,2]=>[5,4,7,1,3,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,5,7,3,1,4]=>[4,1,3,7,5,6,2]=>[4,7,5,1,3,2,6]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,6,5,7,3,4,1]=>[1,4,3,7,5,6,2]=>[7,4,5,1,3,2,6]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,6,5,7,4,1,3]=>[3,1,4,7,5,6,2]=>[5,7,4,1,3,2,6]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,6,5,7,4,3,1]=>[1,3,4,7,5,6,2]=>[7,5,4,1,3,2,6]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[2,6,7,1,3,4,5]=>[5,4,3,1,7,6,2]=>[3,4,5,7,1,2,6]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[2,6,7,1,3,5,4]=>[4,5,3,1,7,6,2]=>[4,3,5,7,1,2,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,6,7,1,4,3,5]=>[5,3,4,1,7,6,2]=>[3,5,4,7,1,2,6]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,6,7,1,4,5,3]=>[3,5,4,1,7,6,2]=>[5,3,4,7,1,2,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,6,7,1,5,3,4]=>[4,3,5,1,7,6,2]=>[4,5,3,7,1,2,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,6,7,1,5,4,3]=>[3,4,5,1,7,6,2]=>[5,4,3,7,1,2,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,6,7,3,1,4,5]=>[5,4,1,3,7,6,2]=>[3,4,7,5,1,2,6]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[2,6,7,3,1,5,4]=>[4,5,1,3,7,6,2]=>[4,3,7,5,1,2,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,6,7,3,4,1,5]=>[5,1,4,3,7,6,2]=>[3,7,4,5,1,2,6]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,6,7,3,4,5,1]=>[1,5,4,3,7,6,2]=>[7,3,4,5,1,2,6]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[2,6,7,3,5,1,4]=>[4,1,5,3,7,6,2]=>[4,7,3,5,1,2,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,6,7,3,5,4,1]=>[1,4,5,3,7,6,2]=>[7,4,3,5,1,2,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,6,7,4,1,3,5]=>[5,3,1,4,7,6,2]=>[3,5,7,4,1,2,6]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[2,6,7,4,1,5,3]=>[3,5,1,4,7,6,2]=>[5,3,7,4,1,2,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,6,7,4,3,1,5]=>[5,1,3,4,7,6,2]=>[3,7,5,4,1,2,6]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[2,6,7,4,3,5,1]=>[1,5,3,4,7,6,2]=>[7,3,5,4,1,2,6]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,6,7,4,5,1,3]=>[3,1,5,4,7,6,2]=>[5,7,3,4,1,2,6]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,6,7,4,5,3,1]=>[1,3,5,4,7,6,2]=>[7,5,3,4,1,2,6]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[2,6,7,5,1,3,4]=>[4,3,1,5,7,6,2]=>[4,5,7,3,1,2,6]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[2,6,7,5,1,4,3]=>[3,4,1,5,7,6,2]=>[5,4,7,3,1,2,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,6,7,5,3,1,4]=>[4,1,3,5,7,6,2]=>[4,7,5,3,1,2,6]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2]=>[7,4,5,3,1,2,6]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[2,6,7,5,4,1,3]=>[3,1,4,5,7,6,2]=>[5,7,4,3,1,2,6]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,6,7,5,4,3,1]=>[1,3,4,5,7,6,2]=>[7,5,4,3,1,2,6]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[2,7,1,3,4,5,6]=>[6,5,4,3,1,7,2]=>[2,3,4,5,7,1,6]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[2,7,1,3,4,6,5]=>[5,6,4,3,1,7,2]=>[3,2,4,5,7,1,6]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[2,7,1,3,5,4,6]=>[6,4,5,3,1,7,2]=>[2,4,3,5,7,1,6]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[2,7,1,3,5,6,4]=>[4,6,5,3,1,7,2]=>[4,2,3,5,7,1,6]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[2,7,1,3,6,4,5]=>[5,4,6,3,1,7,2]=>[3,4,2,5,7,1,6]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,7,1,3,6,5,4]=>[4,5,6,3,1,7,2]=>[4,3,2,5,7,1,6]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[2,7,1,4,3,5,6]=>[6,5,3,4,1,7,2]=>[2,3,5,4,7,1,6]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[2,7,1,4,3,6,5]=>[5,6,3,4,1,7,2]=>[3,2,5,4,7,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,7,1,4,5,3,6]=>[6,3,5,4,1,7,2]=>[2,5,3,4,7,1,6]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[2,7,1,4,5,6,3]=>[3,6,5,4,1,7,2]=>[5,2,3,4,7,1,6]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[2,7,1,4,6,3,5]=>[5,3,6,4,1,7,2]=>[3,5,2,4,7,1,6]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,7,1,4,6,5,3]=>[3,5,6,4,1,7,2]=>[5,3,2,4,7,1,6]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[2,7,1,5,3,4,6]=>[6,4,3,5,1,7,2]=>[2,4,5,3,7,1,6]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[2,7,1,5,3,6,4]=>[4,6,3,5,1,7,2]=>[4,2,5,3,7,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,7,1,5,4,3,6]=>[6,3,4,5,1,7,2]=>[2,5,4,3,7,1,6]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[2,7,1,5,4,6,3]=>[3,6,4,5,1,7,2]=>[5,2,4,3,7,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,7,1,5,6,3,4]=>[4,3,6,5,1,7,2]=>[4,5,2,3,7,1,6]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,7,1,5,6,4,3]=>[3,4,6,5,1,7,2]=>[5,4,2,3,7,1,6]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[2,7,1,6,3,4,5]=>[5,4,3,6,1,7,2]=>[3,4,5,2,7,1,6]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[2,7,1,6,3,5,4]=>[4,5,3,6,1,7,2]=>[4,3,5,2,7,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,7,1,6,4,3,5]=>[5,3,4,6,1,7,2]=>[3,5,4,2,7,1,6]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[2,7,1,6,4,5,3]=>[3,5,4,6,1,7,2]=>[5,3,4,2,7,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,7,1,6,5,3,4]=>[4,3,5,6,1,7,2]=>[4,5,3,2,7,1,6]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,7,1,6,5,4,3]=>[3,4,5,6,1,7,2]=>[5,4,3,2,7,1,6]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[2,7,3,1,4,5,6]=>[6,5,4,1,3,7,2]=>[2,3,4,7,5,1,6]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[2,7,3,1,4,6,5]=>[5,6,4,1,3,7,2]=>[3,2,4,7,5,1,6]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[2,7,3,1,5,4,6]=>[6,4,5,1,3,7,2]=>[2,4,3,7,5,1,6]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[2,7,3,1,5,6,4]=>[4,6,5,1,3,7,2]=>[4,2,3,7,5,1,6]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[2,7,3,1,6,4,5]=>[5,4,6,1,3,7,2]=>[3,4,2,7,5,1,6]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,7,3,1,6,5,4]=>[4,5,6,1,3,7,2]=>[4,3,2,7,5,1,6]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,7,3,4,1,5,6]=>[6,5,1,4,3,7,2]=>[2,3,7,4,5,1,6]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[2,7,3,4,1,6,5]=>[5,6,1,4,3,7,2]=>[3,2,7,4,5,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,7,3,4,5,1,6]=>[6,1,5,4,3,7,2]=>[2,7,3,4,5,1,6]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[2,7,3,4,5,6,1]=>[1,6,5,4,3,7,2]=>[7,2,3,4,5,1,6]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[2,7,3,4,6,1,5]=>[5,1,6,4,3,7,2]=>[3,7,2,4,5,1,6]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,7,3,4,6,5,1]=>[1,5,6,4,3,7,2]=>[7,3,2,4,5,1,6]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[2,7,3,5,1,4,6]=>[6,4,1,5,3,7,2]=>[2,4,7,3,5,1,6]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[2,7,3,5,1,6,4]=>[4,6,1,5,3,7,2]=>[4,2,7,3,5,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,7,3,5,4,1,6]=>[6,1,4,5,3,7,2]=>[2,7,4,3,5,1,6]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[2,7,3,5,4,6,1]=>[1,6,4,5,3,7,2]=>[7,2,4,3,5,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,7,3,5,6,1,4]=>[4,1,6,5,3,7,2]=>[4,7,2,3,5,1,6]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,7,3,5,6,4,1]=>[1,4,6,5,3,7,2]=>[7,4,2,3,5,1,6]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[2,7,3,6,1,4,5]=>[5,4,1,6,3,7,2]=>[3,4,7,2,5,1,6]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[2,7,3,6,1,5,4]=>[4,5,1,6,3,7,2]=>[4,3,7,2,5,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,7,3,6,4,1,5]=>[5,1,4,6,3,7,2]=>[3,7,4,2,5,1,6]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[2,7,3,6,4,5,1]=>[1,5,4,6,3,7,2]=>[7,3,4,2,5,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,7,3,6,5,1,4]=>[4,1,5,6,3,7,2]=>[4,7,3,2,5,1,6]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,7,3,6,5,4,1]=>[1,4,5,6,3,7,2]=>[7,4,3,2,5,1,6]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[2,7,4,1,3,5,6]=>[6,5,3,1,4,7,2]=>[2,3,5,7,4,1,6]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]
[2,7,4,1,3,6,5]=>[5,6,3,1,4,7,2]=>[3,2,5,7,4,1,6]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[2,7,4,1,5,3,6]=>[6,3,5,1,4,7,2]=>[2,5,3,7,4,1,6]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[2,7,4,1,5,6,3]=>[3,6,5,1,4,7,2]=>[5,2,3,7,4,1,6]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[2,7,4,1,6,3,5]=>[5,3,6,1,4,7,2]=>[3,5,2,7,4,1,6]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,7,4,1,6,5,3]=>[3,5,6,1,4,7,2]=>[5,3,2,7,4,1,6]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,7,4,3,1,5,6]=>[6,5,1,3,4,7,2]=>[2,3,7,5,4,1,6]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[2,7,4,3,1,6,5]=>[5,6,1,3,4,7,2]=>[3,2,7,5,4,1,6]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,7,4,3,5,1,6]=>[6,1,5,3,4,7,2]=>[2,7,3,5,4,1,6]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[2,7,4,3,5,6,1]=>[1,6,5,3,4,7,2]=>[7,2,3,5,4,1,6]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[2,7,4,3,6,1,5]=>[5,1,6,3,4,7,2]=>[3,7,2,5,4,1,6]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,7,4,3,6,5,1]=>[1,5,6,3,4,7,2]=>[7,3,2,5,4,1,6]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,7,4,5,1,3,6]=>[6,3,1,5,4,7,2]=>[2,5,7,3,4,1,6]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[2,7,4,5,1,6,3]=>[3,6,1,5,4,7,2]=>[5,2,7,3,4,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,7,4,5,3,1,6]=>[6,1,3,5,4,7,2]=>[2,7,5,3,4,1,6]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[2,7,4,5,3,6,1]=>[1,6,3,5,4,7,2]=>[7,2,5,3,4,1,6]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,7,4,5,6,1,3]=>[3,1,6,5,4,7,2]=>[5,7,2,3,4,1,6]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2]=>[7,5,2,3,4,1,6]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[2,7,4,6,1,3,5]=>[5,3,1,6,4,7,2]=>[3,5,7,2,4,1,6]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[2,7,4,6,1,5,3]=>[3,5,1,6,4,7,2]=>[5,3,7,2,4,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,7,4,6,3,1,5]=>[5,1,3,6,4,7,2]=>[3,7,5,2,4,1,6]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[2,7,4,6,3,5,1]=>[1,5,3,6,4,7,2]=>[7,3,5,2,4,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,7,4,6,5,1,3]=>[3,1,5,6,4,7,2]=>[5,7,3,2,4,1,6]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2]=>[7,5,3,2,4,1,6]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[2,7,5,1,3,4,6]=>[6,4,3,1,5,7,2]=>[2,4,5,7,3,1,6]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[2,7,5,1,3,6,4]=>[4,6,3,1,5,7,2]=>[4,2,5,7,3,1,6]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[2,7,5,1,4,3,6]=>[6,3,4,1,5,7,2]=>[2,5,4,7,3,1,6]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[2,7,5,1,4,6,3]=>[3,6,4,1,5,7,2]=>[5,2,4,7,3,1,6]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[2,7,5,1,6,3,4]=>[4,3,6,1,5,7,2]=>[4,5,2,7,3,1,6]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,7,5,1,6,4,3]=>[3,4,6,1,5,7,2]=>[5,4,2,7,3,1,6]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,7,5,3,1,4,6]=>[6,4,1,3,5,7,2]=>[2,4,7,5,3,1,6]=>[[.,[[.,[[.,.],.]],.]],[.,.]]
[2,7,5,3,1,6,4]=>[4,6,1,3,5,7,2]=>[4,2,7,5,3,1,6]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,7,5,3,4,1,6]=>[6,1,4,3,5,7,2]=>[2,7,4,5,3,1,6]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[2,7,5,3,4,6,1]=>[1,6,4,3,5,7,2]=>[7,2,4,5,3,1,6]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[2,7,5,3,6,1,4]=>[4,1,6,3,5,7,2]=>[4,7,2,5,3,1,6]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,7,5,3,6,4,1]=>[1,4,6,3,5,7,2]=>[7,4,2,5,3,1,6]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,7,5,4,1,3,6]=>[6,3,1,4,5,7,2]=>[2,5,7,4,3,1,6]=>[[.,[[[.,[.,.]],.],.]],[.,.]]
[2,7,5,4,1,6,3]=>[3,6,1,4,5,7,2]=>[5,2,7,4,3,1,6]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,7,5,4,3,1,6]=>[6,1,3,4,5,7,2]=>[2,7,5,4,3,1,6]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,7,5,4,3,6,1]=>[1,6,3,4,5,7,2]=>[7,2,5,4,3,1,6]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[2,7,5,4,6,1,3]=>[3,1,6,4,5,7,2]=>[5,7,2,4,3,1,6]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2]=>[7,5,2,4,3,1,6]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[2,7,5,6,1,3,4]=>[4,3,1,6,5,7,2]=>[4,5,7,2,3,1,6]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[2,7,5,6,1,4,3]=>[3,4,1,6,5,7,2]=>[5,4,7,2,3,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,7,5,6,3,1,4]=>[4,1,3,6,5,7,2]=>[4,7,5,2,3,1,6]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[2,7,5,6,3,4,1]=>[1,4,3,6,5,7,2]=>[7,4,5,2,3,1,6]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[2,7,5,6,4,1,3]=>[3,1,4,6,5,7,2]=>[5,7,4,2,3,1,6]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,7,5,6,4,3,1]=>[1,3,4,6,5,7,2]=>[7,5,4,2,3,1,6]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[2,7,6,1,3,4,5]=>[5,4,3,1,6,7,2]=>[3,4,5,7,2,1,6]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[2,7,6,1,3,5,4]=>[4,5,3,1,6,7,2]=>[4,3,5,7,2,1,6]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[2,7,6,1,4,3,5]=>[5,3,4,1,6,7,2]=>[3,5,4,7,2,1,6]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[2,7,6,1,4,5,3]=>[3,5,4,1,6,7,2]=>[5,3,4,7,2,1,6]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[2,7,6,1,5,3,4]=>[4,3,5,1,6,7,2]=>[4,5,3,7,2,1,6]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[2,7,6,1,5,4,3]=>[3,4,5,1,6,7,2]=>[5,4,3,7,2,1,6]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[2,7,6,3,1,4,5]=>[5,4,1,3,6,7,2]=>[3,4,7,5,2,1,6]=>[[[.,[.,[[.,.],.]]],.],[.,.]]
[2,7,6,3,1,5,4]=>[4,5,1,3,6,7,2]=>[4,3,7,5,2,1,6]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[2,7,6,3,4,1,5]=>[5,1,4,3,6,7,2]=>[3,7,4,5,2,1,6]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[2,7,6,3,4,5,1]=>[1,5,4,3,6,7,2]=>[7,3,4,5,2,1,6]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[2,7,6,3,5,1,4]=>[4,1,5,3,6,7,2]=>[4,7,3,5,2,1,6]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[2,7,6,3,5,4,1]=>[1,4,5,3,6,7,2]=>[7,4,3,5,2,1,6]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[2,7,6,4,1,3,5]=>[5,3,1,4,6,7,2]=>[3,5,7,4,2,1,6]=>[[[.,[[.,[.,.]],.]],.],[.,.]]
[2,7,6,4,1,5,3]=>[3,5,1,4,6,7,2]=>[5,3,7,4,2,1,6]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[2,7,6,4,3,1,5]=>[5,1,3,4,6,7,2]=>[3,7,5,4,2,1,6]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[2,7,6,4,3,5,1]=>[1,5,3,4,6,7,2]=>[7,3,5,4,2,1,6]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[2,7,6,4,5,1,3]=>[3,1,5,4,6,7,2]=>[5,7,3,4,2,1,6]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[2,7,6,4,5,3,1]=>[1,3,5,4,6,7,2]=>[7,5,3,4,2,1,6]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[2,7,6,5,1,3,4]=>[4,3,1,5,6,7,2]=>[4,5,7,3,2,1,6]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[2,7,6,5,1,4,3]=>[3,4,1,5,6,7,2]=>[5,4,7,3,2,1,6]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[2,7,6,5,3,1,4]=>[4,1,3,5,6,7,2]=>[4,7,5,3,2,1,6]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[2,7,6,5,3,4,1]=>[1,4,3,5,6,7,2]=>[7,4,5,3,2,1,6]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[2,7,6,5,4,1,3]=>[3,1,4,5,6,7,2]=>[5,7,4,3,2,1,6]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2]=>[7,5,4,3,2,1,6]=>[[[[[[.,.],.],.],.],.],[.,.]]
[3,1,2,4,5,6,7]=>[7,6,5,4,2,1,3]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[3,1,2,4,5,7,6]=>[6,7,5,4,2,1,3]=>[2,1,3,4,6,7,5]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[3,1,2,4,6,5,7]=>[7,5,6,4,2,1,3]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[3,1,2,4,6,7,5]=>[5,7,6,4,2,1,3]=>[3,1,2,4,6,7,5]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[3,1,2,4,7,5,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[3,1,2,4,7,6,5]=>[5,6,7,4,2,1,3]=>[3,2,1,4,6,7,5]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[3,1,2,5,4,6,7]=>[7,6,4,5,2,1,3]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[3,1,2,5,4,7,6]=>[6,7,4,5,2,1,3]=>[2,1,4,3,6,7,5]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[3,1,2,5,6,4,7]=>[7,4,6,5,2,1,3]=>[1,4,2,3,6,7,5]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[3,1,2,5,6,7,4]=>[4,7,6,5,2,1,3]=>[4,1,2,3,6,7,5]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[3,1,2,5,7,4,6]=>[6,4,7,5,2,1,3]=>[2,4,1,3,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[3,1,2,5,7,6,4]=>[4,6,7,5,2,1,3]=>[4,2,1,3,6,7,5]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[3,1,2,6,4,5,7]=>[7,5,4,6,2,1,3]=>[1,3,4,2,6,7,5]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,1,2,6,4,7,5]=>[5,7,4,6,2,1,3]=>[3,1,4,2,6,7,5]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[3,1,2,6,5,4,7]=>[7,4,5,6,2,1,3]=>[1,4,3,2,6,7,5]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[3,1,2,6,5,7,4]=>[4,7,5,6,2,1,3]=>[4,1,3,2,6,7,5]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[3,1,2,6,7,4,5]=>[5,4,7,6,2,1,3]=>[3,4,1,2,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[3,1,2,6,7,5,4]=>[4,5,7,6,2,1,3]=>[4,3,1,2,6,7,5]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[3,1,2,7,4,5,6]=>[6,5,4,7,2,1,3]=>[2,3,4,1,6,7,5]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[3,1,2,7,4,6,5]=>[5,6,4,7,2,1,3]=>[3,2,4,1,6,7,5]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,1,2,7,5,4,6]=>[6,4,5,7,2,1,3]=>[2,4,3,1,6,7,5]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[3,1,2,7,5,6,4]=>[4,6,5,7,2,1,3]=>[4,2,3,1,6,7,5]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,1,2,7,6,4,5]=>[5,4,6,7,2,1,3]=>[3,4,2,1,6,7,5]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[3,1,2,7,6,5,4]=>[4,5,6,7,2,1,3]=>[4,3,2,1,6,7,5]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[3,1,4,2,5,6,7]=>[7,6,5,2,4,1,3]=>[1,2,3,6,4,7,5]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[3,1,4,2,5,7,6]=>[6,7,5,2,4,1,3]=>[2,1,3,6,4,7,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[3,1,4,2,6,5,7]=>[7,5,6,2,4,1,3]=>[1,3,2,6,4,7,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[3,1,4,2,6,7,5]=>[5,7,6,2,4,1,3]=>[3,1,2,6,4,7,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[3,1,4,2,7,5,6]=>[6,5,7,2,4,1,3]=>[2,3,1,6,4,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,4,2,7,6,5]=>[5,6,7,2,4,1,3]=>[3,2,1,6,4,7,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,1,4,5,2,6,7]=>[7,6,2,5,4,1,3]=>[1,2,6,3,4,7,5]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[3,1,4,5,2,7,6]=>[6,7,2,5,4,1,3]=>[2,1,6,3,4,7,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,1,4,5,6,2,7]=>[7,2,6,5,4,1,3]=>[1,6,2,3,4,7,5]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[3,1,4,5,6,7,2]=>[2,7,6,5,4,1,3]=>[6,1,2,3,4,7,5]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,1,4,5,7,2,6]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,1,4,5,7,6,2]=>[2,6,7,5,4,1,3]=>[6,2,1,3,4,7,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[3,1,4,6,2,5,7]=>[7,5,2,6,4,1,3]=>[1,3,6,2,4,7,5]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[3,1,4,6,2,7,5]=>[5,7,2,6,4,1,3]=>[3,1,6,2,4,7,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,1,4,6,5,2,7]=>[7,2,5,6,4,1,3]=>[1,6,3,2,4,7,5]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[3,1,4,6,5,7,2]=>[2,7,5,6,4,1,3]=>[6,1,3,2,4,7,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,1,4,6,7,2,5]=>[5,2,7,6,4,1,3]=>[3,6,1,2,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,1,4,6,7,5,2]=>[2,5,7,6,4,1,3]=>[6,3,1,2,4,7,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[3,1,4,7,2,5,6]=>[6,5,2,7,4,1,3]=>[2,3,6,1,4,7,5]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,1,4,7,2,6,5]=>[5,6,2,7,4,1,3]=>[3,2,6,1,4,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,1,4,7,5,2,6]=>[6,2,5,7,4,1,3]=>[2,6,3,1,4,7,5]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,1,4,7,5,6,2]=>[2,6,5,7,4,1,3]=>[6,2,3,1,4,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,1,4,7,6,2,5]=>[5,2,6,7,4,1,3]=>[3,6,2,1,4,7,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[3,1,4,7,6,5,2]=>[2,5,6,7,4,1,3]=>[6,3,2,1,4,7,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[3,1,5,2,4,6,7]=>[7,6,4,2,5,1,3]=>[1,2,4,6,3,7,5]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,1,5,2,4,7,6]=>[6,7,4,2,5,1,3]=>[2,1,4,6,3,7,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,1,5,2,6,4,7]=>[7,4,6,2,5,1,3]=>[1,4,2,6,3,7,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[3,1,5,2,6,7,4]=>[4,7,6,2,5,1,3]=>[4,1,2,6,3,7,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[3,1,5,2,7,4,6]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,5,2,7,6,4]=>[4,6,7,2,5,1,3]=>[4,2,1,6,3,7,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,1,5,4,2,6,7]=>[7,6,2,4,5,1,3]=>[1,2,6,4,3,7,5]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[3,1,5,4,2,7,6]=>[6,7,2,4,5,1,3]=>[2,1,6,4,3,7,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,1,5,4,6,2,7]=>[7,2,6,4,5,1,3]=>[1,6,2,4,3,7,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[3,1,5,4,6,7,2]=>[2,7,6,4,5,1,3]=>[6,1,2,4,3,7,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[3,1,5,4,7,2,6]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,5,4,7,6,2]=>[2,6,7,4,5,1,3]=>[6,2,1,4,3,7,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,1,5,6,2,4,7]=>[7,4,2,6,5,1,3]=>[1,4,6,2,3,7,5]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[3,1,5,6,2,7,4]=>[4,7,2,6,5,1,3]=>[4,1,6,2,3,7,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,1,5,6,4,2,7]=>[7,2,4,6,5,1,3]=>[1,6,4,2,3,7,5]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[3,1,5,6,4,7,2]=>[2,7,4,6,5,1,3]=>[6,1,4,2,3,7,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,1,5,6,7,2,4]=>[4,2,7,6,5,1,3]=>[4,6,1,2,3,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,1,5,6,7,4,2]=>[2,4,7,6,5,1,3]=>[6,4,1,2,3,7,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[3,1,5,7,2,4,6]=>[6,4,2,7,5,1,3]=>[2,4,6,1,3,7,5]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,1,5,7,2,6,4]=>[4,6,2,7,5,1,3]=>[4,2,6,1,3,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,1,5,7,4,2,6]=>[6,2,4,7,5,1,3]=>[2,6,4,1,3,7,5]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,1,5,7,4,6,2]=>[2,6,4,7,5,1,3]=>[6,2,4,1,3,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,1,5,7,6,2,4]=>[4,2,6,7,5,1,3]=>[4,6,2,1,3,7,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[3,1,5,7,6,4,2]=>[2,4,6,7,5,1,3]=>[6,4,2,1,3,7,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[3,1,6,2,4,5,7]=>[7,5,4,2,6,1,3]=>[1,3,4,6,2,7,5]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,1,6,2,4,7,5]=>[5,7,4,2,6,1,3]=>[3,1,4,6,2,7,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,1,6,2,5,4,7]=>[7,4,5,2,6,1,3]=>[1,4,3,6,2,7,5]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,1,6,2,5,7,4]=>[4,7,5,2,6,1,3]=>[4,1,3,6,2,7,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,1,6,2,7,4,5]=>[5,4,7,2,6,1,3]=>[3,4,1,6,2,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,6,2,7,5,4]=>[4,5,7,2,6,1,3]=>[4,3,1,6,2,7,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,1,6,4,2,5,7]=>[7,5,2,4,6,1,3]=>[1,3,6,4,2,7,5]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[3,1,6,4,2,7,5]=>[5,7,2,4,6,1,3]=>[3,1,6,4,2,7,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,1,6,4,5,2,7]=>[7,2,5,4,6,1,3]=>[1,6,3,4,2,7,5]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,1,6,4,5,7,2]=>[2,7,5,4,6,1,3]=>[6,1,3,4,2,7,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,1,6,4,7,2,5]=>[5,2,7,4,6,1,3]=>[3,6,1,4,2,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,6,4,7,5,2]=>[2,5,7,4,6,1,3]=>[6,3,1,4,2,7,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,1,6,5,2,4,7]=>[7,4,2,5,6,1,3]=>[1,4,6,3,2,7,5]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,1,6,5,2,7,4]=>[4,7,2,5,6,1,3]=>[4,1,6,3,2,7,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,1,6,5,4,2,7]=>[7,2,4,5,6,1,3]=>[1,6,4,3,2,7,5]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[3,1,6,5,4,7,2]=>[2,7,4,5,6,1,3]=>[6,1,4,3,2,7,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,1,6,5,7,2,4]=>[4,2,7,5,6,1,3]=>[4,6,1,3,2,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,6,5,7,4,2]=>[2,4,7,5,6,1,3]=>[6,4,1,3,2,7,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,1,6,7,2,4,5]=>[5,4,2,7,6,1,3]=>[3,4,6,1,2,7,5]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,1,6,7,2,5,4]=>[4,5,2,7,6,1,3]=>[4,3,6,1,2,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,1,6,7,4,2,5]=>[5,2,4,7,6,1,3]=>[3,6,4,1,2,7,5]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,1,6,7,4,5,2]=>[2,5,4,7,6,1,3]=>[6,3,4,1,2,7,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,1,6,7,5,2,4]=>[4,2,5,7,6,1,3]=>[4,6,3,1,2,7,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[3,1,6,7,5,4,2]=>[2,4,5,7,6,1,3]=>[6,4,3,1,2,7,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[3,1,7,2,4,5,6]=>[6,5,4,2,7,1,3]=>[2,3,4,6,1,7,5]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[3,1,7,2,4,6,5]=>[5,6,4,2,7,1,3]=>[3,2,4,6,1,7,5]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,1,7,2,5,4,6]=>[6,4,5,2,7,1,3]=>[2,4,3,6,1,7,5]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[3,1,7,2,5,6,4]=>[4,6,5,2,7,1,3]=>[4,2,3,6,1,7,5]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,1,7,2,6,4,5]=>[5,4,6,2,7,1,3]=>[3,4,2,6,1,7,5]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,1,7,2,6,5,4]=>[4,5,6,2,7,1,3]=>[4,3,2,6,1,7,5]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,1,7,4,2,5,6]=>[6,5,2,4,7,1,3]=>[2,3,6,4,1,7,5]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[3,1,7,4,2,6,5]=>[5,6,2,4,7,1,3]=>[3,2,6,4,1,7,5]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,1,7,4,5,2,6]=>[6,2,5,4,7,1,3]=>[2,6,3,4,1,7,5]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[3,1,7,4,5,6,2]=>[2,6,5,4,7,1,3]=>[6,2,3,4,1,7,5]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,1,7,4,6,2,5]=>[5,2,6,4,7,1,3]=>[3,6,2,4,1,7,5]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,1,7,4,6,5,2]=>[2,5,6,4,7,1,3]=>[6,3,2,4,1,7,5]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,1,7,5,2,4,6]=>[6,4,2,5,7,1,3]=>[2,4,6,3,1,7,5]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[3,1,7,5,2,6,4]=>[4,6,2,5,7,1,3]=>[4,2,6,3,1,7,5]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,1,7,5,4,2,6]=>[6,2,4,5,7,1,3]=>[2,6,4,3,1,7,5]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,1,7,5,4,6,2]=>[2,6,4,5,7,1,3]=>[6,2,4,3,1,7,5]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,1,7,5,6,2,4]=>[4,2,6,5,7,1,3]=>[4,6,2,3,1,7,5]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,1,7,5,6,4,2]=>[2,4,6,5,7,1,3]=>[6,4,2,3,1,7,5]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,1,7,6,2,4,5]=>[5,4,2,6,7,1,3]=>[3,4,6,2,1,7,5]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[3,1,7,6,2,5,4]=>[4,5,2,6,7,1,3]=>[4,3,6,2,1,7,5]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,1,7,6,4,2,5]=>[5,2,4,6,7,1,3]=>[3,6,4,2,1,7,5]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,1,7,6,4,5,2]=>[2,5,4,6,7,1,3]=>[6,3,4,2,1,7,5]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,1,7,6,5,2,4]=>[4,2,5,6,7,1,3]=>[4,6,3,2,1,7,5]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[3,1,7,6,5,4,2]=>[2,4,5,6,7,1,3]=>[6,4,3,2,1,7,5]=>[[[[[.,.],.],.],.],[[.,.],.]]
[3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[3,2,1,4,5,7,6]=>[6,7,5,4,1,2,3]=>[2,1,3,4,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[3,2,1,4,6,5,7]=>[7,5,6,4,1,2,3]=>[1,3,2,4,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[3,2,1,4,6,7,5]=>[5,7,6,4,1,2,3]=>[3,1,2,4,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[3,2,1,4,7,5,6]=>[6,5,7,4,1,2,3]=>[2,3,1,4,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[3,2,1,5,4,6,7]=>[7,6,4,5,1,2,3]=>[1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[3,2,1,5,4,7,6]=>[6,7,4,5,1,2,3]=>[2,1,4,3,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[3,2,1,5,6,4,7]=>[7,4,6,5,1,2,3]=>[1,4,2,3,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[3,2,1,5,6,7,4]=>[4,7,6,5,1,2,3]=>[4,1,2,3,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[3,2,1,5,7,4,6]=>[6,4,7,5,1,2,3]=>[2,4,1,3,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[3,2,1,5,7,6,4]=>[4,6,7,5,1,2,3]=>[4,2,1,3,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[3,2,1,6,4,5,7]=>[7,5,4,6,1,2,3]=>[1,3,4,2,7,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[3,2,1,6,4,7,5]=>[5,7,4,6,1,2,3]=>[3,1,4,2,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3]=>[1,4,3,2,7,6,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[3,2,1,6,5,7,4]=>[4,7,5,6,1,2,3]=>[4,1,3,2,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[3,2,1,6,7,4,5]=>[5,4,7,6,1,2,3]=>[3,4,1,2,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[3,2,1,6,7,5,4]=>[4,5,7,6,1,2,3]=>[4,3,1,2,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[3,2,1,7,4,5,6]=>[6,5,4,7,1,2,3]=>[2,3,4,1,7,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[3,2,1,7,4,6,5]=>[5,6,4,7,1,2,3]=>[3,2,4,1,7,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,1,7,5,4,6]=>[6,4,5,7,1,2,3]=>[2,4,3,1,7,6,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[3,2,1,7,5,6,4]=>[4,6,5,7,1,2,3]=>[4,2,3,1,7,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,2,1,7,6,4,5]=>[5,4,6,7,1,2,3]=>[3,4,2,1,7,6,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[3,2,4,1,5,6,7]=>[7,6,5,1,4,2,3]=>[1,2,3,7,4,6,5]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[3,2,4,1,5,7,6]=>[6,7,5,1,4,2,3]=>[2,1,3,7,4,6,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[3,2,4,1,6,5,7]=>[7,5,6,1,4,2,3]=>[1,3,2,7,4,6,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[3,2,4,1,6,7,5]=>[5,7,6,1,4,2,3]=>[3,1,2,7,4,6,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[3,2,4,1,7,5,6]=>[6,5,7,1,4,2,3]=>[2,3,1,7,4,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,4,1,7,6,5]=>[5,6,7,1,4,2,3]=>[3,2,1,7,4,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,2,4,5,1,6,7]=>[7,6,1,5,4,2,3]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[3,2,4,5,1,7,6]=>[6,7,1,5,4,2,3]=>[2,1,7,3,4,6,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,2,4,5,6,1,7]=>[7,1,6,5,4,2,3]=>[1,7,2,3,4,6,5]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[3,2,4,5,6,7,1]=>[1,7,6,5,4,2,3]=>[7,1,2,3,4,6,5]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,2,4,5,7,1,6]=>[6,1,7,5,4,2,3]=>[2,7,1,3,4,6,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,2,4,5,7,6,1]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[3,2,4,6,1,5,7]=>[7,5,1,6,4,2,3]=>[1,3,7,2,4,6,5]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[3,2,4,6,1,7,5]=>[5,7,1,6,4,2,3]=>[3,1,7,2,4,6,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,2,4,6,5,1,7]=>[7,1,5,6,4,2,3]=>[1,7,3,2,4,6,5]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[3,2,4,6,5,7,1]=>[1,7,5,6,4,2,3]=>[7,1,3,2,4,6,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,2,4,6,7,1,5]=>[5,1,7,6,4,2,3]=>[3,7,1,2,4,6,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,2,4,6,7,5,1]=>[1,5,7,6,4,2,3]=>[7,3,1,2,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[3,2,4,7,1,5,6]=>[6,5,1,7,4,2,3]=>[2,3,7,1,4,6,5]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,2,4,7,1,6,5]=>[5,6,1,7,4,2,3]=>[3,2,7,1,4,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,2,4,7,5,1,6]=>[6,1,5,7,4,2,3]=>[2,7,3,1,4,6,5]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,2,4,7,5,6,1]=>[1,6,5,7,4,2,3]=>[7,2,3,1,4,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,2,4,7,6,1,5]=>[5,1,6,7,4,2,3]=>[3,7,2,1,4,6,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3]=>[7,3,2,1,4,6,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[3,2,5,1,4,6,7]=>[7,6,4,1,5,2,3]=>[1,2,4,7,3,6,5]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[3,2,5,1,4,7,6]=>[6,7,4,1,5,2,3]=>[2,1,4,7,3,6,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,2,5,1,6,4,7]=>[7,4,6,1,5,2,3]=>[1,4,2,7,3,6,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[3,2,5,1,6,7,4]=>[4,7,6,1,5,2,3]=>[4,1,2,7,3,6,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[3,2,5,1,7,4,6]=>[6,4,7,1,5,2,3]=>[2,4,1,7,3,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,5,1,7,6,4]=>[4,6,7,1,5,2,3]=>[4,2,1,7,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,2,5,4,1,6,7]=>[7,6,1,4,5,2,3]=>[1,2,7,4,3,6,5]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[3,2,5,4,1,7,6]=>[6,7,1,4,5,2,3]=>[2,1,7,4,3,6,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,2,5,4,6,1,7]=>[7,1,6,4,5,2,3]=>[1,7,2,4,3,6,5]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[3,2,5,4,6,7,1]=>[1,7,6,4,5,2,3]=>[7,1,2,4,3,6,5]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[3,2,5,4,7,1,6]=>[6,1,7,4,5,2,3]=>[2,7,1,4,3,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,2,5,6,1,4,7]=>[7,4,1,6,5,2,3]=>[1,4,7,2,3,6,5]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[3,2,5,6,1,7,4]=>[4,7,1,6,5,2,3]=>[4,1,7,2,3,6,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,2,5,6,4,1,7]=>[7,1,4,6,5,2,3]=>[1,7,4,2,3,6,5]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[3,2,5,6,4,7,1]=>[1,7,4,6,5,2,3]=>[7,1,4,2,3,6,5]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,2,5,6,7,1,4]=>[4,1,7,6,5,2,3]=>[4,7,1,2,3,6,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,2,5,6,7,4,1]=>[1,4,7,6,5,2,3]=>[7,4,1,2,3,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[3,2,5,7,1,4,6]=>[6,4,1,7,5,2,3]=>[2,4,7,1,3,6,5]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,2,5,7,1,6,4]=>[4,6,1,7,5,2,3]=>[4,2,7,1,3,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,2,5,7,4,1,6]=>[6,1,4,7,5,2,3]=>[2,7,4,1,3,6,5]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,2,5,7,4,6,1]=>[1,6,4,7,5,2,3]=>[7,2,4,1,3,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,2,5,7,6,1,4]=>[4,1,6,7,5,2,3]=>[4,7,2,1,3,6,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[3,2,5,7,6,4,1]=>[1,4,6,7,5,2,3]=>[7,4,2,1,3,6,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[3,2,6,1,4,5,7]=>[7,5,4,1,6,2,3]=>[1,3,4,7,2,6,5]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[3,2,6,1,4,7,5]=>[5,7,4,1,6,2,3]=>[3,1,4,7,2,6,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,2,6,1,5,4,7]=>[7,4,5,1,6,2,3]=>[1,4,3,7,2,6,5]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,2,6,1,5,7,4]=>[4,7,5,1,6,2,3]=>[4,1,3,7,2,6,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,2,6,1,7,4,5]=>[5,4,7,1,6,2,3]=>[3,4,1,7,2,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,6,1,7,5,4]=>[4,5,7,1,6,2,3]=>[4,3,1,7,2,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,2,6,4,1,5,7]=>[7,5,1,4,6,2,3]=>[1,3,7,4,2,6,5]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[3,2,6,4,1,7,5]=>[5,7,1,4,6,2,3]=>[3,1,7,4,2,6,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,2,6,4,5,1,7]=>[7,1,5,4,6,2,3]=>[1,7,3,4,2,6,5]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[3,2,6,4,5,7,1]=>[1,7,5,4,6,2,3]=>[7,1,3,4,2,6,5]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,2,6,4,7,1,5]=>[5,1,7,4,6,2,3]=>[3,7,1,4,2,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,6,4,7,5,1]=>[1,5,7,4,6,2,3]=>[7,3,1,4,2,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,2,6,5,1,4,7]=>[7,4,1,5,6,2,3]=>[1,4,7,3,2,6,5]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,2,6,5,1,7,4]=>[4,7,1,5,6,2,3]=>[4,1,7,3,2,6,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,2,6,5,4,1,7]=>[7,1,4,5,6,2,3]=>[1,7,4,3,2,6,5]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[3,2,6,5,4,7,1]=>[1,7,4,5,6,2,3]=>[7,1,4,3,2,6,5]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,2,6,5,7,1,4]=>[4,1,7,5,6,2,3]=>[4,7,1,3,2,6,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,6,5,7,4,1]=>[1,4,7,5,6,2,3]=>[7,4,1,3,2,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[3,2,6,7,1,4,5]=>[5,4,1,7,6,2,3]=>[3,4,7,1,2,6,5]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,2,6,7,1,5,4]=>[4,5,1,7,6,2,3]=>[4,3,7,1,2,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,2,6,7,4,1,5]=>[5,1,4,7,6,2,3]=>[3,7,4,1,2,6,5]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3]=>[7,3,4,1,2,6,5]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,2,6,7,5,1,4]=>[4,1,5,7,6,2,3]=>[4,7,3,1,2,6,5]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[3,2,6,7,5,4,1]=>[1,4,5,7,6,2,3]=>[7,4,3,1,2,6,5]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[3,2,7,1,4,5,6]=>[6,5,4,1,7,2,3]=>[2,3,4,7,1,6,5]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[3,2,7,1,4,6,5]=>[5,6,4,1,7,2,3]=>[3,2,4,7,1,6,5]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,2,7,1,5,4,6]=>[6,4,5,1,7,2,3]=>[2,4,3,7,1,6,5]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[3,2,7,1,5,6,4]=>[4,6,5,1,7,2,3]=>[4,2,3,7,1,6,5]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,2,7,1,6,4,5]=>[5,4,6,1,7,2,3]=>[3,4,2,7,1,6,5]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,2,7,1,6,5,4]=>[4,5,6,1,7,2,3]=>[4,3,2,7,1,6,5]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,2,7,4,1,5,6]=>[6,5,1,4,7,2,3]=>[2,3,7,4,1,6,5]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[3,2,7,4,1,6,5]=>[5,6,1,4,7,2,3]=>[3,2,7,4,1,6,5]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,7,4,5,1,6]=>[6,1,5,4,7,2,3]=>[2,7,3,4,1,6,5]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[3,2,7,4,5,6,1]=>[1,6,5,4,7,2,3]=>[7,2,3,4,1,6,5]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,2,7,4,6,1,5]=>[5,1,6,4,7,2,3]=>[3,7,2,4,1,6,5]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,2,7,4,6,5,1]=>[1,5,6,4,7,2,3]=>[7,3,2,4,1,6,5]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,2,7,5,1,4,6]=>[6,4,1,5,7,2,3]=>[2,4,7,3,1,6,5]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[3,2,7,5,1,6,4]=>[4,6,1,5,7,2,3]=>[4,2,7,3,1,6,5]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,7,5,4,1,6]=>[6,1,4,5,7,2,3]=>[2,7,4,3,1,6,5]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,2,7,5,4,6,1]=>[1,6,4,5,7,2,3]=>[7,2,4,3,1,6,5]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,2,7,5,6,1,4]=>[4,1,6,5,7,2,3]=>[4,7,2,3,1,6,5]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3]=>[7,4,2,3,1,6,5]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[3,2,7,6,1,4,5]=>[5,4,1,6,7,2,3]=>[3,4,7,2,1,6,5]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[3,2,7,6,1,5,4]=>[4,5,1,6,7,2,3]=>[4,3,7,2,1,6,5]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,2,7,6,4,1,5]=>[5,1,4,6,7,2,3]=>[3,7,4,2,1,6,5]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[3,2,7,6,4,5,1]=>[1,5,4,6,7,2,3]=>[7,3,4,2,1,6,5]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,2,7,6,5,1,4]=>[4,1,5,6,7,2,3]=>[4,7,3,2,1,6,5]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3]=>[7,4,3,2,1,6,5]=>[[[[[.,.],.],.],.],[[.,.],.]]
[3,4,1,2,5,6,7]=>[7,6,5,2,1,4,3]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[3,4,1,2,5,7,6]=>[6,7,5,2,1,4,3]=>[2,1,3,6,7,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[3,4,1,2,6,5,7]=>[7,5,6,2,1,4,3]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[3,4,1,2,6,7,5]=>[5,7,6,2,1,4,3]=>[3,1,2,6,7,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[3,4,1,2,7,5,6]=>[6,5,7,2,1,4,3]=>[2,3,1,6,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,4,1,2,7,6,5]=>[5,6,7,2,1,4,3]=>[3,2,1,6,7,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,4,1,5,2,6,7]=>[7,6,2,5,1,4,3]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,4,1,5,2,7,6]=>[6,7,2,5,1,4,3]=>[2,1,6,3,7,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,4,1,5,6,2,7]=>[7,2,6,5,1,4,3]=>[1,6,2,3,7,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,4,1,5,6,7,2]=>[2,7,6,5,1,4,3]=>[6,1,2,3,7,4,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,4,1,5,7,2,6]=>[6,2,7,5,1,4,3]=>[2,6,1,3,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,4,1,5,7,6,2]=>[2,6,7,5,1,4,3]=>[6,2,1,3,7,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[3,4,1,6,2,5,7]=>[7,5,2,6,1,4,3]=>[1,3,6,2,7,4,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,4,1,6,2,7,5]=>[5,7,2,6,1,4,3]=>[3,1,6,2,7,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,4,1,6,5,2,7]=>[7,2,5,6,1,4,3]=>[1,6,3,2,7,4,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[3,4,1,6,5,7,2]=>[2,7,5,6,1,4,3]=>[6,1,3,2,7,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,4,1,6,7,2,5]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,4,1,6,7,5,2]=>[2,5,7,6,1,4,3]=>[6,3,1,2,7,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[3,4,1,7,2,5,6]=>[6,5,2,7,1,4,3]=>[2,3,6,1,7,4,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,4,1,7,2,6,5]=>[5,6,2,7,1,4,3]=>[3,2,6,1,7,4,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,4,1,7,5,2,6]=>[6,2,5,7,1,4,3]=>[2,6,3,1,7,4,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,4,1,7,5,6,2]=>[2,6,5,7,1,4,3]=>[6,2,3,1,7,4,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,4,1,7,6,2,5]=>[5,2,6,7,1,4,3]=>[3,6,2,1,7,4,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[3,4,1,7,6,5,2]=>[2,5,6,7,1,4,3]=>[6,3,2,1,7,4,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[3,4,2,1,5,6,7]=>[7,6,5,1,2,4,3]=>[1,2,3,7,6,4,5]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[3,4,2,1,5,7,6]=>[6,7,5,1,2,4,3]=>[2,1,3,7,6,4,5]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[3,4,2,1,6,5,7]=>[7,5,6,1,2,4,3]=>[1,3,2,7,6,4,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[3,4,2,1,6,7,5]=>[5,7,6,1,2,4,3]=>[3,1,2,7,6,4,5]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[3,4,2,1,7,5,6]=>[6,5,7,1,2,4,3]=>[2,3,1,7,6,4,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,4,2,1,7,6,5]=>[5,6,7,1,2,4,3]=>[3,2,1,7,6,4,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,4,2,5,1,6,7]=>[7,6,1,5,2,4,3]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,4,2,5,1,7,6]=>[6,7,1,5,2,4,3]=>[2,1,7,3,6,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,4,2,5,6,1,7]=>[7,1,6,5,2,4,3]=>[1,7,2,3,6,4,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,4,2,5,6,7,1]=>[1,7,6,5,2,4,3]=>[7,1,2,3,6,4,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,4,2,5,7,1,6]=>[6,1,7,5,2,4,3]=>[2,7,1,3,6,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,4,2,5,7,6,1]=>[1,6,7,5,2,4,3]=>[7,2,1,3,6,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[3,4,2,6,1,5,7]=>[7,5,1,6,2,4,3]=>[1,3,7,2,6,4,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,4,2,6,1,7,5]=>[5,7,1,6,2,4,3]=>[3,1,7,2,6,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,4,2,6,5,1,7]=>[7,1,5,6,2,4,3]=>[1,7,3,2,6,4,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[3,4,2,6,5,7,1]=>[1,7,5,6,2,4,3]=>[7,1,3,2,6,4,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,4,2,6,7,1,5]=>[5,1,7,6,2,4,3]=>[3,7,1,2,6,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,4,2,6,7,5,1]=>[1,5,7,6,2,4,3]=>[7,3,1,2,6,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[3,4,2,7,1,5,6]=>[6,5,1,7,2,4,3]=>[2,3,7,1,6,4,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,4,2,7,1,6,5]=>[5,6,1,7,2,4,3]=>[3,2,7,1,6,4,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,4,2,7,5,1,6]=>[6,1,5,7,2,4,3]=>[2,7,3,1,6,4,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,4,2,7,5,6,1]=>[1,6,5,7,2,4,3]=>[7,2,3,1,6,4,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,4,2,7,6,1,5]=>[5,1,6,7,2,4,3]=>[3,7,2,1,6,4,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[3,4,2,7,6,5,1]=>[1,5,6,7,2,4,3]=>[7,3,2,1,6,4,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[3,4,5,1,2,6,7]=>[7,6,2,1,5,4,3]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,4,5,1,2,7,6]=>[6,7,2,1,5,4,3]=>[2,1,6,7,3,4,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,4,5,1,6,2,7]=>[7,2,6,1,5,4,3]=>[1,6,2,7,3,4,5]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,4,5,1,6,7,2]=>[2,7,6,1,5,4,3]=>[6,1,2,7,3,4,5]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[3,4,5,1,7,2,6]=>[6,2,7,1,5,4,3]=>[2,6,1,7,3,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,4,5,1,7,6,2]=>[2,6,7,1,5,4,3]=>[6,2,1,7,3,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,4,5,2,1,6,7]=>[7,6,1,2,5,4,3]=>[1,2,7,6,3,4,5]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,4,5,2,1,7,6]=>[6,7,1,2,5,4,3]=>[2,1,7,6,3,4,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,4,5,2,6,1,7]=>[7,1,6,2,5,4,3]=>[1,7,2,6,3,4,5]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,4,5,2,6,7,1]=>[1,7,6,2,5,4,3]=>[7,1,2,6,3,4,5]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[3,4,5,2,7,1,6]=>[6,1,7,2,5,4,3]=>[2,7,1,6,3,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,4,5,2,7,6,1]=>[1,6,7,2,5,4,3]=>[7,2,1,6,3,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,4,5,6,1,2,7]=>[7,2,1,6,5,4,3]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,4,5,6,1,7,2]=>[2,7,1,6,5,4,3]=>[6,1,7,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[3,4,5,6,2,1,7]=>[7,1,2,6,5,4,3]=>[1,7,6,2,3,4,5]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,4,5,6,2,7,1]=>[1,7,2,6,5,4,3]=>[7,1,6,2,3,4,5]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[3,4,5,6,7,1,2]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[3,4,5,6,7,2,1]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[3,4,5,7,1,2,6]=>[6,2,1,7,5,4,3]=>[2,6,7,1,3,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,4,5,7,1,6,2]=>[2,6,1,7,5,4,3]=>[6,2,7,1,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,4,5,7,2,1,6]=>[6,1,2,7,5,4,3]=>[2,7,6,1,3,4,5]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[3,4,5,7,2,6,1]=>[1,6,2,7,5,4,3]=>[7,2,6,1,3,4,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,4,5,7,6,1,2]=>[2,1,6,7,5,4,3]=>[6,7,2,1,3,4,5]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[3,4,5,7,6,2,1]=>[1,2,6,7,5,4,3]=>[7,6,2,1,3,4,5]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[3,4,6,1,2,5,7]=>[7,5,2,1,6,4,3]=>[1,3,6,7,2,4,5]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,4,6,1,2,7,5]=>[5,7,2,1,6,4,3]=>[3,1,6,7,2,4,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,4,6,1,5,2,7]=>[7,2,5,1,6,4,3]=>[1,6,3,7,2,4,5]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,4,6,1,5,7,2]=>[2,7,5,1,6,4,3]=>[6,1,3,7,2,4,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,4,6,1,7,2,5]=>[5,2,7,1,6,4,3]=>[3,6,1,7,2,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,4,6,1,7,5,2]=>[2,5,7,1,6,4,3]=>[6,3,1,7,2,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,4,6,2,1,5,7]=>[7,5,1,2,6,4,3]=>[1,3,7,6,2,4,5]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[3,4,6,2,1,7,5]=>[5,7,1,2,6,4,3]=>[3,1,7,6,2,4,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,4,6,2,5,1,7]=>[7,1,5,2,6,4,3]=>[1,7,3,6,2,4,5]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,4,6,2,5,7,1]=>[1,7,5,2,6,4,3]=>[7,1,3,6,2,4,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,4,6,2,7,1,5]=>[5,1,7,2,6,4,3]=>[3,7,1,6,2,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,4,6,2,7,5,1]=>[1,5,7,2,6,4,3]=>[7,3,1,6,2,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,4,6,5,1,2,7]=>[7,2,1,5,6,4,3]=>[1,6,7,3,2,4,5]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,4,6,5,1,7,2]=>[2,7,1,5,6,4,3]=>[6,1,7,3,2,4,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,4,6,5,2,1,7]=>[7,1,2,5,6,4,3]=>[1,7,6,3,2,4,5]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,4,6,5,2,7,1]=>[1,7,2,5,6,4,3]=>[7,1,6,3,2,4,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,4,6,5,7,1,2]=>[2,1,7,5,6,4,3]=>[6,7,1,3,2,4,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,4,6,5,7,2,1]=>[1,2,7,5,6,4,3]=>[7,6,1,3,2,4,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,4,6,7,1,2,5]=>[5,2,1,7,6,4,3]=>[3,6,7,1,2,4,5]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,4,6,7,1,5,2]=>[2,5,1,7,6,4,3]=>[6,3,7,1,2,4,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,4,6,7,2,1,5]=>[5,1,2,7,6,4,3]=>[3,7,6,1,2,4,5]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[3,4,6,7,2,5,1]=>[1,5,2,7,6,4,3]=>[7,3,6,1,2,4,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,4,6,7,5,1,2]=>[2,1,5,7,6,4,3]=>[6,7,3,1,2,4,5]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[3,4,6,7,5,2,1]=>[1,2,5,7,6,4,3]=>[7,6,3,1,2,4,5]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[3,4,7,1,2,5,6]=>[6,5,2,1,7,4,3]=>[2,3,6,7,1,4,5]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[3,4,7,1,2,6,5]=>[5,6,2,1,7,4,3]=>[3,2,6,7,1,4,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[3,4,7,1,5,2,6]=>[6,2,5,1,7,4,3]=>[2,6,3,7,1,4,5]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[3,4,7,1,5,6,2]=>[2,6,5,1,7,4,3]=>[6,2,3,7,1,4,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[3,4,7,1,6,2,5]=>[5,2,6,1,7,4,3]=>[3,6,2,7,1,4,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[3,4,7,1,6,5,2]=>[2,5,6,1,7,4,3]=>[6,3,2,7,1,4,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[3,4,7,2,1,5,6]=>[6,5,1,2,7,4,3]=>[2,3,7,6,1,4,5]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[3,4,7,2,1,6,5]=>[5,6,1,2,7,4,3]=>[3,2,7,6,1,4,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,4,7,2,5,1,6]=>[6,1,5,2,7,4,3]=>[2,7,3,6,1,4,5]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[3,4,7,2,5,6,1]=>[1,6,5,2,7,4,3]=>[7,2,3,6,1,4,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[3,4,7,2,6,1,5]=>[5,1,6,2,7,4,3]=>[3,7,2,6,1,4,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[3,4,7,2,6,5,1]=>[1,5,6,2,7,4,3]=>[7,3,2,6,1,4,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[3,4,7,5,1,2,6]=>[6,2,1,5,7,4,3]=>[2,6,7,3,1,4,5]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[3,4,7,5,1,6,2]=>[2,6,1,5,7,4,3]=>[6,2,7,3,1,4,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,4,7,5,2,1,6]=>[6,1,2,5,7,4,3]=>[2,7,6,3,1,4,5]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[3,4,7,5,2,6,1]=>[1,6,2,5,7,4,3]=>[7,2,6,3,1,4,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,4,7,5,6,1,2]=>[2,1,6,5,7,4,3]=>[6,7,2,3,1,4,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[3,4,7,5,6,2,1]=>[1,2,6,5,7,4,3]=>[7,6,2,3,1,4,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[3,4,7,6,1,2,5]=>[5,2,1,6,7,4,3]=>[3,6,7,2,1,4,5]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[3,4,7,6,1,5,2]=>[2,5,1,6,7,4,3]=>[6,3,7,2,1,4,5]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[3,4,7,6,2,1,5]=>[5,1,2,6,7,4,3]=>[3,7,6,2,1,4,5]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[3,4,7,6,2,5,1]=>[1,5,2,6,7,4,3]=>[7,3,6,2,1,4,5]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[3,4,7,6,5,1,2]=>[2,1,5,6,7,4,3]=>[6,7,3,2,1,4,5]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[3,4,7,6,5,2,1]=>[1,2,5,6,7,4,3]=>[7,6,3,2,1,4,5]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[3,5,1,2,4,6,7]=>[7,6,4,2,1,5,3]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[3,5,1,2,4,7,6]=>[6,7,4,2,1,5,3]=>[2,1,4,6,7,3,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,5,1,2,6,4,7]=>[7,4,6,2,1,5,3]=>[1,4,2,6,7,3,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[3,5,1,2,6,7,4]=>[4,7,6,2,1,5,3]=>[4,1,2,6,7,3,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[3,5,1,2,7,4,6]=>[6,4,7,2,1,5,3]=>[2,4,1,6,7,3,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,5,1,2,7,6,4]=>[4,6,7,2,1,5,3]=>[4,2,1,6,7,3,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,5,1,4,2,6,7]=>[7,6,2,4,1,5,3]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,5,1,4,2,7,6]=>[6,7,2,4,1,5,3]=>[2,1,6,4,7,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,5,1,4,6,2,7]=>[7,2,6,4,1,5,3]=>[1,6,2,4,7,3,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[3,5,1,4,6,7,2]=>[2,7,6,4,1,5,3]=>[6,1,2,4,7,3,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[3,5,1,4,7,2,6]=>[6,2,7,4,1,5,3]=>[2,6,1,4,7,3,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,5,1,4,7,6,2]=>[2,6,7,4,1,5,3]=>[6,2,1,4,7,3,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,5,1,6,2,4,7]=>[7,4,2,6,1,5,3]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,5,1,6,2,7,4]=>[4,7,2,6,1,5,3]=>[4,1,6,2,7,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,5,1,6,4,2,7]=>[7,2,4,6,1,5,3]=>[1,6,4,2,7,3,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[3,5,1,6,4,7,2]=>[2,7,4,6,1,5,3]=>[6,1,4,2,7,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,5,1,6,7,2,4]=>[4,2,7,6,1,5,3]=>[4,6,1,2,7,3,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,5,1,6,7,4,2]=>[2,4,7,6,1,5,3]=>[6,4,1,2,7,3,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[3,5,1,7,2,4,6]=>[6,4,2,7,1,5,3]=>[2,4,6,1,7,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,5,1,7,2,6,4]=>[4,6,2,7,1,5,3]=>[4,2,6,1,7,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,5,1,7,4,2,6]=>[6,2,4,7,1,5,3]=>[2,6,4,1,7,3,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,5,1,7,4,6,2]=>[2,6,4,7,1,5,3]=>[6,2,4,1,7,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,5,1,7,6,2,4]=>[4,2,6,7,1,5,3]=>[4,6,2,1,7,3,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[3,5,1,7,6,4,2]=>[2,4,6,7,1,5,3]=>[6,4,2,1,7,3,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[3,5,2,1,4,6,7]=>[7,6,4,1,2,5,3]=>[1,2,4,7,6,3,5]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[3,5,2,1,4,7,6]=>[6,7,4,1,2,5,3]=>[2,1,4,7,6,3,5]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[3,5,2,1,6,4,7]=>[7,4,6,1,2,5,3]=>[1,4,2,7,6,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[3,5,2,1,6,7,4]=>[4,7,6,1,2,5,3]=>[4,1,2,7,6,3,5]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[3,5,2,1,7,4,6]=>[6,4,7,1,2,5,3]=>[2,4,1,7,6,3,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,5,2,1,7,6,4]=>[4,6,7,1,2,5,3]=>[4,2,1,7,6,3,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,5,2,4,1,6,7]=>[7,6,1,4,2,5,3]=>[1,2,7,4,6,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,5,2,4,1,7,6]=>[6,7,1,4,2,5,3]=>[2,1,7,4,6,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,5,2,4,6,1,7]=>[7,1,6,4,2,5,3]=>[1,7,2,4,6,3,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[3,5,2,4,6,7,1]=>[1,7,6,4,2,5,3]=>[7,1,2,4,6,3,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[3,5,2,4,7,1,6]=>[6,1,7,4,2,5,3]=>[2,7,1,4,6,3,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,5,2,4,7,6,1]=>[1,6,7,4,2,5,3]=>[7,2,1,4,6,3,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,5,2,6,1,4,7]=>[7,4,1,6,2,5,3]=>[1,4,7,2,6,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,5,2,6,1,7,4]=>[4,7,1,6,2,5,3]=>[4,1,7,2,6,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,5,2,6,4,1,7]=>[7,1,4,6,2,5,3]=>[1,7,4,2,6,3,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[3,5,2,6,4,7,1]=>[1,7,4,6,2,5,3]=>[7,1,4,2,6,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,5,2,6,7,1,4]=>[4,1,7,6,2,5,3]=>[4,7,1,2,6,3,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,5,2,6,7,4,1]=>[1,4,7,6,2,5,3]=>[7,4,1,2,6,3,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[3,5,2,7,1,4,6]=>[6,4,1,7,2,5,3]=>[2,4,7,1,6,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,5,2,7,1,6,4]=>[4,6,1,7,2,5,3]=>[4,2,7,1,6,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,5,2,7,4,1,6]=>[6,1,4,7,2,5,3]=>[2,7,4,1,6,3,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,5,2,7,4,6,1]=>[1,6,4,7,2,5,3]=>[7,2,4,1,6,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,5,2,7,6,1,4]=>[4,1,6,7,2,5,3]=>[4,7,2,1,6,3,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[3,5,2,7,6,4,1]=>[1,4,6,7,2,5,3]=>[7,4,2,1,6,3,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[3,5,4,1,2,6,7]=>[7,6,2,1,4,5,3]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[3,5,4,1,2,7,6]=>[6,7,2,1,4,5,3]=>[2,1,6,7,4,3,5]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,5,4,1,6,2,7]=>[7,2,6,1,4,5,3]=>[1,6,2,7,4,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[3,5,4,1,6,7,2]=>[2,7,6,1,4,5,3]=>[6,1,2,7,4,3,5]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[3,5,4,1,7,2,6]=>[6,2,7,1,4,5,3]=>[2,6,1,7,4,3,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,5,4,1,7,6,2]=>[2,6,7,1,4,5,3]=>[6,2,1,7,4,3,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,5,4,2,1,6,7]=>[7,6,1,2,4,5,3]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[3,5,4,2,1,7,6]=>[6,7,1,2,4,5,3]=>[2,1,7,6,4,3,5]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[3,5,4,2,6,1,7]=>[7,1,6,2,4,5,3]=>[1,7,2,6,4,3,5]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[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]=>[2,7,1,6,4,3,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,5,4,2,7,6,1]=>[1,6,7,2,4,5,3]=>[7,2,1,6,4,3,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,5,4,6,1,2,7]=>[7,2,1,6,4,5,3]=>[1,6,7,2,4,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,5,4,6,1,7,2]=>[2,7,1,6,4,5,3]=>[6,1,7,2,4,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,5,4,6,2,1,7]=>[7,1,2,6,4,5,3]=>[1,7,6,2,4,3,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[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]=>[6,7,1,2,4,3,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,5,4,6,7,2,1]=>[1,2,7,6,4,5,3]=>[7,6,1,2,4,3,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[3,5,4,7,1,2,6]=>[6,2,1,7,4,5,3]=>[2,6,7,1,4,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,5,4,7,1,6,2]=>[2,6,1,7,4,5,3]=>[6,2,7,1,4,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,5,4,7,2,1,6]=>[6,1,2,7,4,5,3]=>[2,7,6,1,4,3,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,5,4,7,2,6,1]=>[1,6,2,7,4,5,3]=>[7,2,6,1,4,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,5,4,7,6,1,2]=>[2,1,6,7,4,5,3]=>[6,7,2,1,4,3,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[3,5,4,7,6,2,1]=>[1,2,6,7,4,5,3]=>[7,6,2,1,4,3,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[3,5,6,1,2,4,7]=>[7,4,2,1,6,5,3]=>[1,4,6,7,2,3,5]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,5,6,1,2,7,4]=>[4,7,2,1,6,5,3]=>[4,1,6,7,2,3,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,5,6,1,4,2,7]=>[7,2,4,1,6,5,3]=>[1,6,4,7,2,3,5]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,5,6,1,4,7,2]=>[2,7,4,1,6,5,3]=>[6,1,4,7,2,3,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,5,6,1,7,2,4]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,5,6,1,7,4,2]=>[2,4,7,1,6,5,3]=>[6,4,1,7,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,5,6,2,1,4,7]=>[7,4,1,2,6,5,3]=>[1,4,7,6,2,3,5]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[3,5,6,2,1,7,4]=>[4,7,1,2,6,5,3]=>[4,1,7,6,2,3,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,5,6,2,4,1,7]=>[7,1,4,2,6,5,3]=>[1,7,4,6,2,3,5]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,5,6,2,4,7,1]=>[1,7,4,2,6,5,3]=>[7,1,4,6,2,3,5]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,5,6,2,7,1,4]=>[4,1,7,2,6,5,3]=>[4,7,1,6,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,5,6,2,7,4,1]=>[1,4,7,2,6,5,3]=>[7,4,1,6,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[3,5,6,4,1,2,7]=>[7,2,1,4,6,5,3]=>[1,6,7,4,2,3,5]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,5,6,4,1,7,2]=>[2,7,1,4,6,5,3]=>[6,1,7,4,2,3,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,5,6,4,2,1,7]=>[7,1,2,4,6,5,3]=>[1,7,6,4,2,3,5]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,5,6,4,2,7,1]=>[1,7,2,4,6,5,3]=>[7,1,6,4,2,3,5]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,5,6,4,7,1,2]=>[2,1,7,4,6,5,3]=>[6,7,1,4,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[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]=>[4,6,7,1,2,3,5]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,5,6,7,1,4,2]=>[2,4,1,7,6,5,3]=>[6,4,7,1,2,3,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,5,6,7,2,1,4]=>[4,1,2,7,6,5,3]=>[4,7,6,1,2,3,5]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[3,5,6,7,2,4,1]=>[1,4,2,7,6,5,3]=>[7,4,6,1,2,3,5]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,5,6,7,4,1,2]=>[2,1,4,7,6,5,3]=>[6,7,4,1,2,3,5]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[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]=>[2,4,6,7,1,3,5]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[3,5,7,1,2,6,4]=>[4,6,2,1,7,5,3]=>[4,2,6,7,1,3,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[3,5,7,1,4,2,6]=>[6,2,4,1,7,5,3]=>[2,6,4,7,1,3,5]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[3,5,7,1,4,6,2]=>[2,6,4,1,7,5,3]=>[6,2,4,7,1,3,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[3,5,7,1,6,2,4]=>[4,2,6,1,7,5,3]=>[4,6,2,7,1,3,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[3,5,7,1,6,4,2]=>[2,4,6,1,7,5,3]=>[6,4,2,7,1,3,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[3,5,7,2,1,4,6]=>[6,4,1,2,7,5,3]=>[2,4,7,6,1,3,5]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[3,5,7,2,1,6,4]=>[4,6,1,2,7,5,3]=>[4,2,7,6,1,3,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,5,7,2,4,1,6]=>[6,1,4,2,7,5,3]=>[2,7,4,6,1,3,5]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[3,5,7,2,4,6,1]=>[1,6,4,2,7,5,3]=>[7,2,4,6,1,3,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[3,5,7,2,6,1,4]=>[4,1,6,2,7,5,3]=>[4,7,2,6,1,3,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[3,5,7,2,6,4,1]=>[1,4,6,2,7,5,3]=>[7,4,2,6,1,3,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[3,5,7,4,1,2,6]=>[6,2,1,4,7,5,3]=>[2,6,7,4,1,3,5]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[3,5,7,4,1,6,2]=>[2,6,1,4,7,5,3]=>[6,2,7,4,1,3,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,5,7,4,2,1,6]=>[6,1,2,4,7,5,3]=>[2,7,6,4,1,3,5]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[3,5,7,4,2,6,1]=>[1,6,2,4,7,5,3]=>[7,2,6,4,1,3,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,5,7,4,6,1,2]=>[2,1,6,4,7,5,3]=>[6,7,2,4,1,3,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[3,5,7,4,6,2,1]=>[1,2,6,4,7,5,3]=>[7,6,2,4,1,3,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[3,5,7,6,1,2,4]=>[4,2,1,6,7,5,3]=>[4,6,7,2,1,3,5]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[3,5,7,6,1,4,2]=>[2,4,1,6,7,5,3]=>[6,4,7,2,1,3,5]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[3,5,7,6,2,1,4]=>[4,1,2,6,7,5,3]=>[4,7,6,2,1,3,5]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[3,5,7,6,2,4,1]=>[1,4,2,6,7,5,3]=>[7,4,6,2,1,3,5]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[3,5,7,6,4,1,2]=>[2,1,4,6,7,5,3]=>[6,7,4,2,1,3,5]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[3,5,7,6,4,2,1]=>[1,2,4,6,7,5,3]=>[7,6,4,2,1,3,5]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[3,6,1,2,4,5,7]=>[7,5,4,2,1,6,3]=>[1,3,4,6,7,2,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,6,1,2,4,7,5]=>[5,7,4,2,1,6,3]=>[3,1,4,6,7,2,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,6,1,2,5,4,7]=>[7,4,5,2,1,6,3]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,6,1,2,5,7,4]=>[4,7,5,2,1,6,3]=>[4,1,3,6,7,2,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,6,1,2,7,4,5]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,6,1,2,7,5,4]=>[4,5,7,2,1,6,3]=>[4,3,1,6,7,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,6,1,4,2,5,7]=>[7,5,2,4,1,6,3]=>[1,3,6,4,7,2,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,6,1,4,2,7,5]=>[5,7,2,4,1,6,3]=>[3,1,6,4,7,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,6,1,4,5,2,7]=>[7,2,5,4,1,6,3]=>[1,6,3,4,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,6,1,4,5,7,2]=>[2,7,5,4,1,6,3]=>[6,1,3,4,7,2,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,6,1,4,7,2,5]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,6,1,4,7,5,2]=>[2,5,7,4,1,6,3]=>[6,3,1,4,7,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,6,1,5,2,4,7]=>[7,4,2,5,1,6,3]=>[1,4,6,3,7,2,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,6,1,5,2,7,4]=>[4,7,2,5,1,6,3]=>[4,1,6,3,7,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,6,1,5,4,2,7]=>[7,2,4,5,1,6,3]=>[1,6,4,3,7,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,6,1,5,4,7,2]=>[2,7,4,5,1,6,3]=>[6,1,4,3,7,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,6,1,5,7,2,4]=>[4,2,7,5,1,6,3]=>[4,6,1,3,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,6,1,5,7,4,2]=>[2,4,7,5,1,6,3]=>[6,4,1,3,7,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,6,1,7,2,4,5]=>[5,4,2,7,1,6,3]=>[3,4,6,1,7,2,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,6,1,7,2,5,4]=>[4,5,2,7,1,6,3]=>[4,3,6,1,7,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,6,1,7,4,2,5]=>[5,2,4,7,1,6,3]=>[3,6,4,1,7,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,6,1,7,4,5,2]=>[2,5,4,7,1,6,3]=>[6,3,4,1,7,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,6,1,7,5,2,4]=>[4,2,5,7,1,6,3]=>[4,6,3,1,7,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[3,6,1,7,5,4,2]=>[2,4,5,7,1,6,3]=>[6,4,3,1,7,2,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[3,6,2,1,4,5,7]=>[7,5,4,1,2,6,3]=>[1,3,4,7,6,2,5]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[3,6,2,1,4,7,5]=>[5,7,4,1,2,6,3]=>[3,1,4,7,6,2,5]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[3,6,2,1,5,4,7]=>[7,4,5,1,2,6,3]=>[1,4,3,7,6,2,5]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,6,2,1,5,7,4]=>[4,7,5,1,2,6,3]=>[4,1,3,7,6,2,5]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[3,6,2,1,7,4,5]=>[5,4,7,1,2,6,3]=>[3,4,1,7,6,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,6,2,1,7,5,4]=>[4,5,7,1,2,6,3]=>[4,3,1,7,6,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,6,2,4,1,5,7]=>[7,5,1,4,2,6,3]=>[1,3,7,4,6,2,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,6,2,4,1,7,5]=>[5,7,1,4,2,6,3]=>[3,1,7,4,6,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,6,2,4,5,1,7]=>[7,1,5,4,2,6,3]=>[1,7,3,4,6,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,6,2,4,5,7,1]=>[1,7,5,4,2,6,3]=>[7,1,3,4,6,2,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,6,2,4,7,1,5]=>[5,1,7,4,2,6,3]=>[3,7,1,4,6,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,6,2,4,7,5,1]=>[1,5,7,4,2,6,3]=>[7,3,1,4,6,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,6,2,5,1,4,7]=>[7,4,1,5,2,6,3]=>[1,4,7,3,6,2,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,6,2,5,1,7,4]=>[4,7,1,5,2,6,3]=>[4,1,7,3,6,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,6,2,5,4,1,7]=>[7,1,4,5,2,6,3]=>[1,7,4,3,6,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,6,2,5,4,7,1]=>[1,7,4,5,2,6,3]=>[7,1,4,3,6,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,6,2,5,7,1,4]=>[4,1,7,5,2,6,3]=>[4,7,1,3,6,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,6,2,5,7,4,1]=>[1,4,7,5,2,6,3]=>[7,4,1,3,6,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,6,2,7,1,4,5]=>[5,4,1,7,2,6,3]=>[3,4,7,1,6,2,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,6,2,7,1,5,4]=>[4,5,1,7,2,6,3]=>[4,3,7,1,6,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,6,2,7,4,1,5]=>[5,1,4,7,2,6,3]=>[3,7,4,1,6,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,6,2,7,4,5,1]=>[1,5,4,7,2,6,3]=>[7,3,4,1,6,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,6,2,7,5,1,4]=>[4,1,5,7,2,6,3]=>[4,7,3,1,6,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[3,6,2,7,5,4,1]=>[1,4,5,7,2,6,3]=>[7,4,3,1,6,2,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[3,6,4,1,2,5,7]=>[7,5,2,1,4,6,3]=>[1,3,6,7,4,2,5]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[3,6,4,1,2,7,5]=>[5,7,2,1,4,6,3]=>[3,1,6,7,4,2,5]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,6,4,1,5,2,7]=>[7,2,5,1,4,6,3]=>[1,6,3,7,4,2,5]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,6,4,1,5,7,2]=>[2,7,5,1,4,6,3]=>[6,1,3,7,4,2,5]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[3,6,4,1,7,2,5]=>[5,2,7,1,4,6,3]=>[3,6,1,7,4,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,6,4,1,7,5,2]=>[2,5,7,1,4,6,3]=>[6,3,1,7,4,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,6,4,2,1,5,7]=>[7,5,1,2,4,6,3]=>[1,3,7,6,4,2,5]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[3,6,4,2,1,7,5]=>[5,7,1,2,4,6,3]=>[3,1,7,6,4,2,5]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[3,6,4,2,5,1,7]=>[7,1,5,2,4,6,3]=>[1,7,3,6,4,2,5]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,6,4,2,5,7,1]=>[1,7,5,2,4,6,3]=>[7,1,3,6,4,2,5]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[3,6,4,2,7,1,5]=>[5,1,7,2,4,6,3]=>[3,7,1,6,4,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,6,4,2,7,5,1]=>[1,5,7,2,4,6,3]=>[7,3,1,6,4,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,6,4,5,1,2,7]=>[7,2,1,5,4,6,3]=>[1,6,7,3,4,2,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,6,4,5,1,7,2]=>[2,7,1,5,4,6,3]=>[6,1,7,3,4,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,6,4,5,2,1,7]=>[7,1,2,5,4,6,3]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,6,4,5,2,7,1]=>[1,7,2,5,4,6,3]=>[7,1,6,3,4,2,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,6,4,5,7,1,2]=>[2,1,7,5,4,6,3]=>[6,7,1,3,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,6,4,5,7,2,1]=>[1,2,7,5,4,6,3]=>[7,6,1,3,4,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[3,6,4,7,1,2,5]=>[5,2,1,7,4,6,3]=>[3,6,7,1,4,2,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,6,4,7,1,5,2]=>[2,5,1,7,4,6,3]=>[6,3,7,1,4,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,6,4,7,2,1,5]=>[5,1,2,7,4,6,3]=>[3,7,6,1,4,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,6,4,7,2,5,1]=>[1,5,2,7,4,6,3]=>[7,3,6,1,4,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,6,4,7,5,1,2]=>[2,1,5,7,4,6,3]=>[6,7,3,1,4,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[3,6,4,7,5,2,1]=>[1,2,5,7,4,6,3]=>[7,6,3,1,4,2,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[3,6,5,1,2,4,7]=>[7,4,2,1,5,6,3]=>[1,4,6,7,3,2,5]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[3,6,5,1,2,7,4]=>[4,7,2,1,5,6,3]=>[4,1,6,7,3,2,5]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,6,5,1,4,2,7]=>[7,2,4,1,5,6,3]=>[1,6,4,7,3,2,5]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[3,6,5,1,4,7,2]=>[2,7,4,1,5,6,3]=>[6,1,4,7,3,2,5]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,6,5,1,7,2,4]=>[4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,6,5,1,7,4,2]=>[2,4,7,1,5,6,3]=>[6,4,1,7,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,6,5,2,1,4,7]=>[7,4,1,2,5,6,3]=>[1,4,7,6,3,2,5]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[3,6,5,2,1,7,4]=>[4,7,1,2,5,6,3]=>[4,1,7,6,3,2,5]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[3,6,5,2,4,1,7]=>[7,1,4,2,5,6,3]=>[1,7,4,6,3,2,5]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[3,6,5,2,4,7,1]=>[1,7,4,2,5,6,3]=>[7,1,4,6,3,2,5]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,6,5,2,7,1,4]=>[4,1,7,2,5,6,3]=>[4,7,1,6,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,6,5,2,7,4,1]=>[1,4,7,2,5,6,3]=>[7,4,1,6,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,6,5,4,1,2,7]=>[7,2,1,4,5,6,3]=>[1,6,7,4,3,2,5]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[3,6,5,4,1,7,2]=>[2,7,1,4,5,6,3]=>[6,1,7,4,3,2,5]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[3,6,5,4,2,1,7]=>[7,1,2,4,5,6,3]=>[1,7,6,4,3,2,5]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[3,6,5,4,2,7,1]=>[1,7,2,4,5,6,3]=>[7,1,6,4,3,2,5]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[3,6,5,4,7,1,2]=>[2,1,7,4,5,6,3]=>[6,7,1,4,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,6,5,4,7,2,1]=>[1,2,7,4,5,6,3]=>[7,6,1,4,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[3,6,5,7,1,2,4]=>[4,2,1,7,5,6,3]=>[4,6,7,1,3,2,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,6,5,7,1,4,2]=>[2,4,1,7,5,6,3]=>[6,4,7,1,3,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,6,5,7,2,1,4]=>[4,1,2,7,5,6,3]=>[4,7,6,1,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,6,5,7,2,4,1]=>[1,4,2,7,5,6,3]=>[7,4,6,1,3,2,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,6,5,7,4,1,2]=>[2,1,4,7,5,6,3]=>[6,7,4,1,3,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[3,6,5,7,4,2,1]=>[1,2,4,7,5,6,3]=>[7,6,4,1,3,2,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[3,6,7,1,2,4,5]=>[5,4,2,1,7,6,3]=>[3,4,6,7,1,2,5]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[3,6,7,1,2,5,4]=>[4,5,2,1,7,6,3]=>[4,3,6,7,1,2,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[3,6,7,1,4,2,5]=>[5,2,4,1,7,6,3]=>[3,6,4,7,1,2,5]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[3,6,7,1,4,5,2]=>[2,5,4,1,7,6,3]=>[6,3,4,7,1,2,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[3,6,7,1,5,2,4]=>[4,2,5,1,7,6,3]=>[4,6,3,7,1,2,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[3,6,7,1,5,4,2]=>[2,4,5,1,7,6,3]=>[6,4,3,7,1,2,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[3,6,7,2,1,4,5]=>[5,4,1,2,7,6,3]=>[3,4,7,6,1,2,5]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[3,6,7,2,1,5,4]=>[4,5,1,2,7,6,3]=>[4,3,7,6,1,2,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,6,7,2,4,1,5]=>[5,1,4,2,7,6,3]=>[3,7,4,6,1,2,5]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[3,6,7,2,4,5,1]=>[1,5,4,2,7,6,3]=>[7,3,4,6,1,2,5]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[3,6,7,2,5,1,4]=>[4,1,5,2,7,6,3]=>[4,7,3,6,1,2,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[3,6,7,2,5,4,1]=>[1,4,5,2,7,6,3]=>[7,4,3,6,1,2,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[3,6,7,4,1,2,5]=>[5,2,1,4,7,6,3]=>[3,6,7,4,1,2,5]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[3,6,7,4,1,5,2]=>[2,5,1,4,7,6,3]=>[6,3,7,4,1,2,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,6,7,4,2,1,5]=>[5,1,2,4,7,6,3]=>[3,7,6,4,1,2,5]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[3,6,7,4,2,5,1]=>[1,5,2,4,7,6,3]=>[7,3,6,4,1,2,5]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,6,7,4,5,1,2]=>[2,1,5,4,7,6,3]=>[6,7,3,4,1,2,5]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[3,6,7,4,5,2,1]=>[1,2,5,4,7,6,3]=>[7,6,3,4,1,2,5]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[3,6,7,5,1,2,4]=>[4,2,1,5,7,6,3]=>[4,6,7,3,1,2,5]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[3,6,7,5,1,4,2]=>[2,4,1,5,7,6,3]=>[6,4,7,3,1,2,5]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[3,6,7,5,2,1,4]=>[4,1,2,5,7,6,3]=>[4,7,6,3,1,2,5]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[3,6,7,5,2,4,1]=>[1,4,2,5,7,6,3]=>[7,4,6,3,1,2,5]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[3,6,7,5,4,1,2]=>[2,1,4,5,7,6,3]=>[6,7,4,3,1,2,5]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[3,6,7,5,4,2,1]=>[1,2,4,5,7,6,3]=>[7,6,4,3,1,2,5]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[3,7,1,2,4,5,6]=>[6,5,4,2,1,7,3]=>[2,3,4,6,7,1,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[3,7,1,2,4,6,5]=>[5,6,4,2,1,7,3]=>[3,2,4,6,7,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[3,7,1,2,5,4,6]=>[6,4,5,2,1,7,3]=>[2,4,3,6,7,1,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[3,7,1,2,5,6,4]=>[4,6,5,2,1,7,3]=>[4,2,3,6,7,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[3,7,1,2,6,4,5]=>[5,4,6,2,1,7,3]=>[3,4,2,6,7,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[3,7,1,2,6,5,4]=>[4,5,6,2,1,7,3]=>[4,3,2,6,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[3,7,1,4,2,5,6]=>[6,5,2,4,1,7,3]=>[2,3,6,4,7,1,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[3,7,1,4,2,6,5]=>[5,6,2,4,1,7,3]=>[3,2,6,4,7,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,7,1,4,5,2,6]=>[6,2,5,4,1,7,3]=>[2,6,3,4,7,1,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[3,7,1,4,5,6,2]=>[2,6,5,4,1,7,3]=>[6,2,3,4,7,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[3,7,1,4,6,2,5]=>[5,2,6,4,1,7,3]=>[3,6,2,4,7,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[3,7,1,4,6,5,2]=>[2,5,6,4,1,7,3]=>[6,3,2,4,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[3,7,1,5,2,4,6]=>[6,4,2,5,1,7,3]=>[2,4,6,3,7,1,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[3,7,1,5,2,6,4]=>[4,6,2,5,1,7,3]=>[4,2,6,3,7,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,7,1,5,4,2,6]=>[6,2,4,5,1,7,3]=>[2,6,4,3,7,1,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[3,7,1,5,4,6,2]=>[2,6,4,5,1,7,3]=>[6,2,4,3,7,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,7,1,5,6,2,4]=>[4,2,6,5,1,7,3]=>[4,6,2,3,7,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[3,7,1,5,6,4,2]=>[2,4,6,5,1,7,3]=>[6,4,2,3,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[3,7,1,6,2,4,5]=>[5,4,2,6,1,7,3]=>[3,4,6,2,7,1,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[3,7,1,6,2,5,4]=>[4,5,2,6,1,7,3]=>[4,3,6,2,7,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,7,1,6,4,2,5]=>[5,2,4,6,1,7,3]=>[3,6,4,2,7,1,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,7,1,6,4,5,2]=>[2,5,4,6,1,7,3]=>[6,3,4,2,7,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,7,1,6,5,2,4]=>[4,2,5,6,1,7,3]=>[4,6,3,2,7,1,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[3,7,2,1,4,5,6]=>[6,5,4,1,2,7,3]=>[2,3,4,7,6,1,5]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[3,7,2,1,4,6,5]=>[5,6,4,1,2,7,3]=>[3,2,4,7,6,1,5]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[3,7,2,1,5,4,6]=>[6,4,5,1,2,7,3]=>[2,4,3,7,6,1,5]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[3,7,2,1,5,6,4]=>[4,6,5,1,2,7,3]=>[4,2,3,7,6,1,5]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[3,7,2,1,6,4,5]=>[5,4,6,1,2,7,3]=>[3,4,2,7,6,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,7,2,1,6,5,4]=>[4,5,6,1,2,7,3]=>[4,3,2,7,6,1,5]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,7,2,4,1,5,6]=>[6,5,1,4,2,7,3]=>[2,3,7,4,6,1,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[3,7,2,4,1,6,5]=>[5,6,1,4,2,7,3]=>[3,2,7,4,6,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,7,2,4,5,1,6]=>[6,1,5,4,2,7,3]=>[2,7,3,4,6,1,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[3,7,2,4,5,6,1]=>[1,6,5,4,2,7,3]=>[7,2,3,4,6,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[3,7,2,4,6,1,5]=>[5,1,6,4,2,7,3]=>[3,7,2,4,6,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[3,7,2,4,6,5,1]=>[1,5,6,4,2,7,3]=>[7,3,2,4,6,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[3,7,2,5,1,4,6]=>[6,4,1,5,2,7,3]=>[2,4,7,3,6,1,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[3,7,2,5,1,6,4]=>[4,6,1,5,2,7,3]=>[4,2,7,3,6,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,7,2,5,4,1,6]=>[6,1,4,5,2,7,3]=>[2,7,4,3,6,1,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[3,7,2,5,4,6,1]=>[1,6,4,5,2,7,3]=>[7,2,4,3,6,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,7,2,5,6,1,4]=>[4,1,6,5,2,7,3]=>[4,7,2,3,6,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[3,7,2,5,6,4,1]=>[1,4,6,5,2,7,3]=>[7,4,2,3,6,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[3,7,2,6,1,4,5]=>[5,4,1,6,2,7,3]=>[3,4,7,2,6,1,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[3,7,2,6,1,5,4]=>[4,5,1,6,2,7,3]=>[4,3,7,2,6,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,7,2,6,4,1,5]=>[5,1,4,6,2,7,3]=>[3,7,4,2,6,1,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,7,2,6,4,5,1]=>[1,5,4,6,2,7,3]=>[7,3,4,2,6,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,7,2,6,5,1,4]=>[4,1,5,6,2,7,3]=>[4,7,3,2,6,1,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,7,2,6,5,4,1]=>[1,4,5,6,2,7,3]=>[7,4,3,2,6,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[3,7,4,1,2,5,6]=>[6,5,2,1,4,7,3]=>[2,3,6,7,4,1,5]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]
[3,7,4,1,2,6,5]=>[5,6,2,1,4,7,3]=>[3,2,6,7,4,1,5]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[3,7,4,1,5,2,6]=>[6,2,5,1,4,7,3]=>[2,6,3,7,4,1,5]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[3,7,4,1,5,6,2]=>[2,6,5,1,4,7,3]=>[6,2,3,7,4,1,5]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[3,7,4,1,6,2,5]=>[5,2,6,1,4,7,3]=>[3,6,2,7,4,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,7,4,1,6,5,2]=>[2,5,6,1,4,7,3]=>[6,3,2,7,4,1,5]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,7,4,2,1,5,6]=>[6,5,1,2,4,7,3]=>[2,3,7,6,4,1,5]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[3,7,4,2,1,6,5]=>[5,6,1,2,4,7,3]=>[3,2,7,6,4,1,5]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,7,4,2,5,1,6]=>[6,1,5,2,4,7,3]=>[2,7,3,6,4,1,5]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[3,7,4,2,5,6,1]=>[1,6,5,2,4,7,3]=>[7,2,3,6,4,1,5]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[3,7,4,2,6,1,5]=>[5,1,6,2,4,7,3]=>[3,7,2,6,4,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,7,4,2,6,5,1]=>[1,5,6,2,4,7,3]=>[7,3,2,6,4,1,5]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,7,4,5,1,2,6]=>[6,2,1,5,4,7,3]=>[2,6,7,3,4,1,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[3,7,4,5,1,6,2]=>[2,6,1,5,4,7,3]=>[6,2,7,3,4,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,7,4,5,2,1,6]=>[6,1,2,5,4,7,3]=>[2,7,6,3,4,1,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[3,7,4,5,2,6,1]=>[1,6,2,5,4,7,3]=>[7,2,6,3,4,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,7,4,5,6,1,2]=>[2,1,6,5,4,7,3]=>[6,7,2,3,4,1,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[3,7,4,5,6,2,1]=>[1,2,6,5,4,7,3]=>[7,6,2,3,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[3,7,4,6,1,2,5]=>[5,2,1,6,4,7,3]=>[3,6,7,2,4,1,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[3,7,4,6,1,5,2]=>[2,5,1,6,4,7,3]=>[6,3,7,2,4,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,7,4,6,2,1,5]=>[5,1,2,6,4,7,3]=>[3,7,6,2,4,1,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,7,4,6,2,5,1]=>[1,5,2,6,4,7,3]=>[7,3,6,2,4,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,7,4,6,5,1,2]=>[2,1,5,6,4,7,3]=>[6,7,3,2,4,1,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,7,4,6,5,2,1]=>[1,2,5,6,4,7,3]=>[7,6,3,2,4,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[3,7,5,1,2,4,6]=>[6,4,2,1,5,7,3]=>[2,4,6,7,3,1,5]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[3,7,5,1,2,6,4]=>[4,6,2,1,5,7,3]=>[4,2,6,7,3,1,5]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[3,7,5,1,4,2,6]=>[6,2,4,1,5,7,3]=>[2,6,4,7,3,1,5]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[3,7,5,1,4,6,2]=>[2,6,4,1,5,7,3]=>[6,2,4,7,3,1,5]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[3,7,5,1,6,2,4]=>[4,2,6,1,5,7,3]=>[4,6,2,7,3,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,7,5,1,6,4,2]=>[2,4,6,1,5,7,3]=>[6,4,2,7,3,1,5]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,7,5,2,1,4,6]=>[6,4,1,2,5,7,3]=>[2,4,7,6,3,1,5]=>[[.,[[.,[[.,.],.]],.]],[.,.]]
[3,7,5,2,1,6,4]=>[4,6,1,2,5,7,3]=>[4,2,7,6,3,1,5]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,7,5,2,4,1,6]=>[6,1,4,2,5,7,3]=>[2,7,4,6,3,1,5]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[3,7,5,2,4,6,1]=>[1,6,4,2,5,7,3]=>[7,2,4,6,3,1,5]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[3,7,5,2,6,1,4]=>[4,1,6,2,5,7,3]=>[4,7,2,6,3,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,7,5,2,6,4,1]=>[1,4,6,2,5,7,3]=>[7,4,2,6,3,1,5]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,7,5,4,1,2,6]=>[6,2,1,4,5,7,3]=>[2,6,7,4,3,1,5]=>[[.,[[[.,[.,.]],.],.]],[.,.]]
[3,7,5,4,1,6,2]=>[2,6,1,4,5,7,3]=>[6,2,7,4,3,1,5]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,7,5,4,2,1,6]=>[6,1,2,4,5,7,3]=>[2,7,6,4,3,1,5]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[3,7,5,4,2,6,1]=>[1,6,2,4,5,7,3]=>[7,2,6,4,3,1,5]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,7,5,4,6,1,2]=>[2,1,6,4,5,7,3]=>[6,7,2,4,3,1,5]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,7,5,4,6,2,1]=>[1,2,6,4,5,7,3]=>[7,6,2,4,3,1,5]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[3,7,5,6,1,2,4]=>[4,2,1,6,5,7,3]=>[4,6,7,2,3,1,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[3,7,5,6,1,4,2]=>[2,4,1,6,5,7,3]=>[6,4,7,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,7,5,6,2,1,4]=>[4,1,2,6,5,7,3]=>[4,7,6,2,3,1,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[3,7,5,6,2,4,1]=>[1,4,2,6,5,7,3]=>[7,4,6,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,7,5,6,4,1,2]=>[2,1,4,6,5,7,3]=>[6,7,4,2,3,1,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[3,7,5,6,4,2,1]=>[1,2,4,6,5,7,3]=>[7,6,4,2,3,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[3,7,6,1,2,4,5]=>[5,4,2,1,6,7,3]=>[3,4,6,7,2,1,5]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[3,7,6,1,2,5,4]=>[4,5,2,1,6,7,3]=>[4,3,6,7,2,1,5]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[3,7,6,1,4,2,5]=>[5,2,4,1,6,7,3]=>[3,6,4,7,2,1,5]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[3,7,6,1,4,5,2]=>[2,5,4,1,6,7,3]=>[6,3,4,7,2,1,5]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[3,7,6,1,5,2,4]=>[4,2,5,1,6,7,3]=>[4,6,3,7,2,1,5]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[3,7,6,1,5,4,2]=>[2,4,5,1,6,7,3]=>[6,4,3,7,2,1,5]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,7,6,2,1,4,5]=>[5,4,1,2,6,7,3]=>[3,4,7,6,2,1,5]=>[[[.,[.,[[.,.],.]]],.],[.,.]]
[3,7,6,2,1,5,4]=>[4,5,1,2,6,7,3]=>[4,3,7,6,2,1,5]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,7,6,2,4,1,5]=>[5,1,4,2,6,7,3]=>[3,7,4,6,2,1,5]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[3,7,6,2,4,5,1]=>[1,5,4,2,6,7,3]=>[7,3,4,6,2,1,5]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[3,7,6,2,5,1,4]=>[4,1,5,2,6,7,3]=>[4,7,3,6,2,1,5]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[3,7,6,2,5,4,1]=>[1,4,5,2,6,7,3]=>[7,4,3,6,2,1,5]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,7,6,4,1,2,5]=>[5,2,1,4,6,7,3]=>[3,6,7,4,2,1,5]=>[[[.,[[.,[.,.]],.]],.],[.,.]]
[3,7,6,4,1,5,2]=>[2,5,1,4,6,7,3]=>[6,3,7,4,2,1,5]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,7,6,4,2,1,5]=>[5,1,2,4,6,7,3]=>[3,7,6,4,2,1,5]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[3,7,6,4,2,5,1]=>[1,5,2,4,6,7,3]=>[7,3,6,4,2,1,5]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,7,6,4,5,1,2]=>[2,1,5,4,6,7,3]=>[6,7,3,4,2,1,5]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[3,7,6,4,5,2,1]=>[1,2,5,4,6,7,3]=>[7,6,3,4,2,1,5]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[3,7,6,5,1,2,4]=>[4,2,1,5,6,7,3]=>[4,6,7,3,2,1,5]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[3,7,6,5,1,4,2]=>[2,4,1,5,6,7,3]=>[6,4,7,3,2,1,5]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[3,7,6,5,2,1,4]=>[4,1,2,5,6,7,3]=>[4,7,6,3,2,1,5]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[3,7,6,5,2,4,1]=>[1,4,2,5,6,7,3]=>[7,4,6,3,2,1,5]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[3,7,6,5,4,1,2]=>[2,1,4,5,6,7,3]=>[6,7,4,3,2,1,5]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[3,7,6,5,4,2,1]=>[1,2,4,5,6,7,3]=>[7,6,4,3,2,1,5]=>[[[[[[.,.],.],.],.],.],[.,.]]
[4,1,2,3,5,6,7]=>[7,6,5,3,2,1,4]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[4,1,2,3,5,7,6]=>[6,7,5,3,2,1,4]=>[2,1,3,5,6,7,4]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[4,1,2,3,6,5,7]=>[7,5,6,3,2,1,4]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[4,1,2,3,6,7,5]=>[5,7,6,3,2,1,4]=>[3,1,2,5,6,7,4]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[4,1,2,3,7,5,6]=>[6,5,7,3,2,1,4]=>[2,3,1,5,6,7,4]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[4,1,2,3,7,6,5]=>[5,6,7,3,2,1,4]=>[3,2,1,5,6,7,4]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[4,1,2,5,3,6,7]=>[7,6,3,5,2,1,4]=>[1,2,5,3,6,7,4]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[4,1,2,5,3,7,6]=>[6,7,3,5,2,1,4]=>[2,1,5,3,6,7,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,1,2,5,6,3,7]=>[7,3,6,5,2,1,4]=>[1,5,2,3,6,7,4]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[4,1,2,5,6,7,3]=>[3,7,6,5,2,1,4]=>[5,1,2,3,6,7,4]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[4,1,2,5,7,3,6]=>[6,3,7,5,2,1,4]=>[2,5,1,3,6,7,4]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,1,2,5,7,6,3]=>[3,6,7,5,2,1,4]=>[5,2,1,3,6,7,4]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[4,1,2,6,3,5,7]=>[7,5,3,6,2,1,4]=>[1,3,5,2,6,7,4]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[4,1,2,6,3,7,5]=>[5,7,3,6,2,1,4]=>[3,1,5,2,6,7,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,1,2,6,5,3,7]=>[7,3,5,6,2,1,4]=>[1,5,3,2,6,7,4]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[4,1,2,6,5,7,3]=>[3,7,5,6,2,1,4]=>[5,1,3,2,6,7,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,1,2,6,7,3,5]=>[5,3,7,6,2,1,4]=>[3,5,1,2,6,7,4]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,1,2,6,7,5,3]=>[3,5,7,6,2,1,4]=>[5,3,1,2,6,7,4]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[4,1,2,7,3,5,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,1,2,7,3,6,5]=>[5,6,3,7,2,1,4]=>[3,2,5,1,6,7,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[4,1,2,7,5,3,6]=>[6,3,5,7,2,1,4]=>[2,5,3,1,6,7,4]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[4,1,2,7,5,6,3]=>[3,6,5,7,2,1,4]=>[5,2,3,1,6,7,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[4,1,2,7,6,3,5]=>[5,3,6,7,2,1,4]=>[3,5,2,1,6,7,4]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[4,1,2,7,6,5,3]=>[3,5,6,7,2,1,4]=>[5,3,2,1,6,7,4]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[4,1,3,2,5,6,7]=>[7,6,5,2,3,1,4]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[4,1,3,2,5,7,6]=>[6,7,5,2,3,1,4]=>[2,1,3,6,5,7,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[4,1,3,2,6,5,7]=>[7,5,6,2,3,1,4]=>[1,3,2,6,5,7,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[4,1,3,2,6,7,5]=>[5,7,6,2,3,1,4]=>[3,1,2,6,5,7,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[4,1,3,2,7,5,6]=>[6,5,7,2,3,1,4]=>[2,3,1,6,5,7,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[4,1,3,2,7,6,5]=>[5,6,7,2,3,1,4]=>[3,2,1,6,5,7,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[4,1,3,5,2,6,7]=>[7,6,2,5,3,1,4]=>[1,2,6,3,5,7,4]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[4,1,3,5,2,7,6]=>[6,7,2,5,3,1,4]=>[2,1,6,3,5,7,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,1,3,5,6,2,7]=>[7,2,6,5,3,1,4]=>[1,6,2,3,5,7,4]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[4,1,3,5,6,7,2]=>[2,7,6,5,3,1,4]=>[6,1,2,3,5,7,4]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[4,1,3,5,7,2,6]=>[6,2,7,5,3,1,4]=>[2,6,1,3,5,7,4]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,1,3,5,7,6,2]=>[2,6,7,5,3,1,4]=>[6,2,1,3,5,7,4]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[4,1,3,6,2,5,7]=>[7,5,2,6,3,1,4]=>[1,3,6,2,5,7,4]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[4,1,3,6,2,7,5]=>[5,7,2,6,3,1,4]=>[3,1,6,2,5,7,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,1,3,6,5,2,7]=>[7,2,5,6,3,1,4]=>[1,6,3,2,5,7,4]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[4,1,3,6,5,7,2]=>[2,7,5,6,3,1,4]=>[6,1,3,2,5,7,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,1,3,6,7,2,5]=>[5,2,7,6,3,1,4]=>[3,6,1,2,5,7,4]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,1,3,6,7,5,2]=>[2,5,7,6,3,1,4]=>[6,3,1,2,5,7,4]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[4,1,3,7,2,5,6]=>[6,5,2,7,3,1,4]=>[2,3,6,1,5,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,1,3,7,2,6,5]=>[5,6,2,7,3,1,4]=>[3,2,6,1,5,7,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[4,1,3,7,5,2,6]=>[6,2,5,7,3,1,4]=>[2,6,3,1,5,7,4]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[4,1,3,7,5,6,2]=>[2,6,5,7,3,1,4]=>[6,2,3,1,5,7,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[4,1,3,7,6,2,5]=>[5,2,6,7,3,1,4]=>[3,6,2,1,5,7,4]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[4,1,3,7,6,5,2]=>[2,5,6,7,3,1,4]=>[6,3,2,1,5,7,4]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[4,1,5,2,3,6,7]=>[7,6,3,2,5,1,4]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,1,5,2,3,7,6]=>[6,7,3,2,5,1,4]=>[2,1,5,6,3,7,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,1,5,2,6,3,7]=>[7,3,6,2,5,1,4]=>[1,5,2,6,3,7,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,1,5,2,6,7,3]=>[3,7,6,2,5,1,4]=>[5,1,2,6,3,7,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[4,1,5,2,7,3,6]=>[6,3,7,2,5,1,4]=>[2,5,1,6,3,7,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,1,5,2,7,6,3]=>[3,6,7,2,5,1,4]=>[5,2,1,6,3,7,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,1,5,3,2,6,7]=>[7,6,2,3,5,1,4]=>[1,2,6,5,3,7,4]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[4,1,5,3,2,7,6]=>[6,7,2,3,5,1,4]=>[2,1,6,5,3,7,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,1,5,3,6,2,7]=>[7,2,6,3,5,1,4]=>[1,6,2,5,3,7,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,1,5,3,6,7,2]=>[2,7,6,3,5,1,4]=>[6,1,2,5,3,7,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[4,1,5,3,7,2,6]=>[6,2,7,3,5,1,4]=>[2,6,1,5,3,7,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,1,5,3,7,6,2]=>[2,6,7,3,5,1,4]=>[6,2,1,5,3,7,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,1,5,6,2,3,7]=>[7,3,2,6,5,1,4]=>[1,5,6,2,3,7,4]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[4,1,5,6,2,7,3]=>[3,7,2,6,5,1,4]=>[5,1,6,2,3,7,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,1,5,6,3,2,7]=>[7,2,3,6,5,1,4]=>[1,6,5,2,3,7,4]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[4,1,5,6,3,7,2]=>[2,7,3,6,5,1,4]=>[6,1,5,2,3,7,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,1,5,6,7,2,3]=>[3,2,7,6,5,1,4]=>[5,6,1,2,3,7,4]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,1,5,6,7,3,2]=>[2,3,7,6,5,1,4]=>[6,5,1,2,3,7,4]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[4,1,5,7,2,3,6]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,1,5,7,2,6,3]=>[3,6,2,7,5,1,4]=>[5,2,6,1,3,7,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,1,5,7,3,2,6]=>[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,1,5,7,3,6,2]=>[2,6,3,7,5,1,4]=>[6,2,5,1,3,7,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,1,5,7,6,2,3]=>[3,2,6,7,5,1,4]=>[5,6,2,1,3,7,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[4,1,5,7,6,3,2]=>[2,3,6,7,5,1,4]=>[6,5,2,1,3,7,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[4,1,6,2,3,5,7]=>[7,5,3,2,6,1,4]=>[1,3,5,6,2,7,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,1,6,2,3,7,5]=>[5,7,3,2,6,1,4]=>[3,1,5,6,2,7,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,1,6,2,5,3,7]=>[7,3,5,2,6,1,4]=>[1,5,3,6,2,7,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,1,6,2,5,7,3]=>[3,7,5,2,6,1,4]=>[5,1,3,6,2,7,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,1,6,2,7,3,5]=>[5,3,7,2,6,1,4]=>[3,5,1,6,2,7,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,1,6,2,7,5,3]=>[3,5,7,2,6,1,4]=>[5,3,1,6,2,7,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,1,6,3,2,5,7]=>[7,5,2,3,6,1,4]=>[1,3,6,5,2,7,4]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[4,1,6,3,2,7,5]=>[5,7,2,3,6,1,4]=>[3,1,6,5,2,7,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,1,6,3,5,2,7]=>[7,2,5,3,6,1,4]=>[1,6,3,5,2,7,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,1,6,3,5,7,2]=>[2,7,5,3,6,1,4]=>[6,1,3,5,2,7,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,1,6,3,7,2,5]=>[5,2,7,3,6,1,4]=>[3,6,1,5,2,7,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,1,6,3,7,5,2]=>[2,5,7,3,6,1,4]=>[6,3,1,5,2,7,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,1,6,5,2,3,7]=>[7,3,2,5,6,1,4]=>[1,5,6,3,2,7,4]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[4,1,6,5,2,7,3]=>[3,7,2,5,6,1,4]=>[5,1,6,3,2,7,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,1,6,5,3,2,7]=>[7,2,3,5,6,1,4]=>[1,6,5,3,2,7,4]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[4,1,6,5,3,7,2]=>[2,7,3,5,6,1,4]=>[6,1,5,3,2,7,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,1,6,5,7,2,3]=>[3,2,7,5,6,1,4]=>[5,6,1,3,2,7,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,1,6,5,7,3,2]=>[2,3,7,5,6,1,4]=>[6,5,1,3,2,7,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,1,6,7,2,3,5]=>[5,3,2,7,6,1,4]=>[3,5,6,1,2,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,1,6,7,2,5,3]=>[3,5,2,7,6,1,4]=>[5,3,6,1,2,7,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,1,6,7,3,2,5]=>[5,2,3,7,6,1,4]=>[3,6,5,1,2,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,1,6,7,3,5,2]=>[2,5,3,7,6,1,4]=>[6,3,5,1,2,7,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,1,6,7,5,2,3]=>[3,2,5,7,6,1,4]=>[5,6,3,1,2,7,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[4,1,6,7,5,3,2]=>[2,3,5,7,6,1,4]=>[6,5,3,1,2,7,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[4,1,7,2,3,5,6]=>[6,5,3,2,7,1,4]=>[2,3,5,6,1,7,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,1,7,2,3,6,5]=>[5,6,3,2,7,1,4]=>[3,2,5,6,1,7,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,1,7,2,5,3,6]=>[6,3,5,2,7,1,4]=>[2,5,3,6,1,7,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[4,1,7,2,5,6,3]=>[3,6,5,2,7,1,4]=>[5,2,3,6,1,7,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,1,7,2,6,3,5]=>[5,3,6,2,7,1,4]=>[3,5,2,6,1,7,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,1,7,2,6,5,3]=>[3,5,6,2,7,1,4]=>[5,3,2,6,1,7,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,1,7,3,2,5,6]=>[6,5,2,3,7,1,4]=>[2,3,6,5,1,7,4]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[4,1,7,3,2,6,5]=>[5,6,2,3,7,1,4]=>[3,2,6,5,1,7,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,7,3,5,2,6]=>[6,2,5,3,7,1,4]=>[2,6,3,5,1,7,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[4,1,7,3,5,6,2]=>[2,6,5,3,7,1,4]=>[6,2,3,5,1,7,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,1,7,3,6,2,5]=>[5,2,6,3,7,1,4]=>[3,6,2,5,1,7,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,1,7,3,6,5,2]=>[2,5,6,3,7,1,4]=>[6,3,2,5,1,7,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,1,7,5,2,3,6]=>[6,3,2,5,7,1,4]=>[2,5,6,3,1,7,4]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[4,1,7,5,2,6,3]=>[3,6,2,5,7,1,4]=>[5,2,6,3,1,7,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,7,5,3,2,6]=>[6,2,3,5,7,1,4]=>[2,6,5,3,1,7,4]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,1,7,5,3,6,2]=>[2,6,3,5,7,1,4]=>[6,2,5,3,1,7,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,1,7,5,6,2,3]=>[3,2,6,5,7,1,4]=>[5,6,2,3,1,7,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,1,7,5,6,3,2]=>[2,3,6,5,7,1,4]=>[6,5,2,3,1,7,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,1,7,6,2,3,5]=>[5,3,2,6,7,1,4]=>[3,5,6,2,1,7,4]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[4,1,7,6,2,5,3]=>[3,5,2,6,7,1,4]=>[5,3,6,2,1,7,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,1,7,6,3,2,5]=>[5,2,3,6,7,1,4]=>[3,6,5,2,1,7,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,1,7,6,3,5,2]=>[2,5,3,6,7,1,4]=>[6,3,5,2,1,7,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,1,7,6,5,2,3]=>[3,2,5,6,7,1,4]=>[5,6,3,2,1,7,4]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,1,7,6,5,3,2]=>[2,3,5,6,7,1,4]=>[6,5,3,2,1,7,4]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,2,1,3,5,6,7]=>[7,6,5,3,1,2,4]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[4,2,1,3,5,7,6]=>[6,7,5,3,1,2,4]=>[2,1,3,5,7,6,4]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[4,2,1,3,6,5,7]=>[7,5,6,3,1,2,4]=>[1,3,2,5,7,6,4]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[4,2,1,3,6,7,5]=>[5,7,6,3,1,2,4]=>[3,1,2,5,7,6,4]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[4,2,1,3,7,5,6]=>[6,5,7,3,1,2,4]=>[2,3,1,5,7,6,4]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[4,2,1,3,7,6,5]=>[5,6,7,3,1,2,4]=>[3,2,1,5,7,6,4]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[4,2,1,5,3,6,7]=>[7,6,3,5,1,2,4]=>[1,2,5,3,7,6,4]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[4,2,1,5,3,7,6]=>[6,7,3,5,1,2,4]=>[2,1,5,3,7,6,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,2,1,5,6,3,7]=>[7,3,6,5,1,2,4]=>[1,5,2,3,7,6,4]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[4,2,1,5,6,7,3]=>[3,7,6,5,1,2,4]=>[5,1,2,3,7,6,4]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[4,2,1,5,7,3,6]=>[6,3,7,5,1,2,4]=>[2,5,1,3,7,6,4]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[4,2,1,5,7,6,3]=>[3,6,7,5,1,2,4]=>[5,2,1,3,7,6,4]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[4,2,1,6,3,5,7]=>[7,5,3,6,1,2,4]=>[1,3,5,2,7,6,4]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[4,2,1,6,3,7,5]=>[5,7,3,6,1,2,4]=>[3,1,5,2,7,6,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,2,1,6,5,3,7]=>[7,3,5,6,1,2,4]=>[1,5,3,2,7,6,4]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[4,2,1,6,5,7,3]=>[3,7,5,6,1,2,4]=>[5,1,3,2,7,6,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,2,1,6,7,3,5]=>[5,3,7,6,1,2,4]=>[3,5,1,2,7,6,4]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[4,2,1,6,7,5,3]=>[3,5,7,6,1,2,4]=>[5,3,1,2,7,6,4]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[4,2,1,7,3,5,6]=>[6,5,3,7,1,2,4]=>[2,3,5,1,7,6,4]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[4,2,1,7,3,6,5]=>[5,6,3,7,1,2,4]=>[3,2,5,1,7,6,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,7,5,3,6]=>[6,3,5,7,1,2,4]=>[2,5,3,1,7,6,4]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,2,1,7,5,6,3]=>[3,6,5,7,1,2,4]=>[5,2,3,1,7,6,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,2,1,7,6,3,5]=>[5,3,6,7,1,2,4]=>[3,5,2,1,7,6,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,2,1,7,6,5,3]=>[3,5,6,7,1,2,4]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,2,3,1,5,6,7]=>[7,6,5,1,3,2,4]=>[1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[4,2,3,1,5,7,6]=>[6,7,5,1,3,2,4]=>[2,1,3,7,5,6,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[4,2,3,1,6,5,7]=>[7,5,6,1,3,2,4]=>[1,3,2,7,5,6,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[4,2,3,1,6,7,5]=>[5,7,6,1,3,2,4]=>[3,1,2,7,5,6,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[4,2,3,1,7,5,6]=>[6,5,7,1,3,2,4]=>[2,3,1,7,5,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[4,2,3,1,7,6,5]=>[5,6,7,1,3,2,4]=>[3,2,1,7,5,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[4,2,3,5,1,6,7]=>[7,6,1,5,3,2,4]=>[1,2,7,3,5,6,4]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[4,2,3,5,1,7,6]=>[6,7,1,5,3,2,4]=>[2,1,7,3,5,6,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,2,3,5,6,1,7]=>[7,1,6,5,3,2,4]=>[1,7,2,3,5,6,4]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[4,2,3,5,6,7,1]=>[1,7,6,5,3,2,4]=>[7,1,2,3,5,6,4]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[4,2,3,5,7,1,6]=>[6,1,7,5,3,2,4]=>[2,7,1,3,5,6,4]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,2,3,5,7,6,1]=>[1,6,7,5,3,2,4]=>[7,2,1,3,5,6,4]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[4,2,3,6,1,5,7]=>[7,5,1,6,3,2,4]=>[1,3,7,2,5,6,4]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[4,2,3,6,1,7,5]=>[5,7,1,6,3,2,4]=>[3,1,7,2,5,6,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,2,3,6,5,1,7]=>[7,1,5,6,3,2,4]=>[1,7,3,2,5,6,4]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[4,2,3,6,5,7,1]=>[1,7,5,6,3,2,4]=>[7,1,3,2,5,6,4]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[4,2,3,6,7,1,5]=>[5,1,7,6,3,2,4]=>[3,7,1,2,5,6,4]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,2,3,6,7,5,1]=>[1,5,7,6,3,2,4]=>[7,3,1,2,5,6,4]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[4,2,3,7,1,5,6]=>[6,5,1,7,3,2,4]=>[2,3,7,1,5,6,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,2,3,7,1,6,5]=>[5,6,1,7,3,2,4]=>[3,2,7,1,5,6,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[4,2,3,7,5,1,6]=>[6,1,5,7,3,2,4]=>[2,7,3,1,5,6,4]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[4,2,3,7,5,6,1]=>[1,6,5,7,3,2,4]=>[7,2,3,1,5,6,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[4,2,3,7,6,1,5]=>[5,1,6,7,3,2,4]=>[3,7,2,1,5,6,4]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[4,2,3,7,6,5,1]=>[1,5,6,7,3,2,4]=>[7,3,2,1,5,6,4]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[4,2,5,1,3,6,7]=>[7,6,3,1,5,2,4]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,2,5,1,3,7,6]=>[6,7,3,1,5,2,4]=>[2,1,5,7,3,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,2,5,1,6,3,7]=>[7,3,6,1,5,2,4]=>[1,5,2,7,3,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,2,5,1,6,7,3]=>[3,7,6,1,5,2,4]=>[5,1,2,7,3,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[4,2,5,1,7,3,6]=>[6,3,7,1,5,2,4]=>[2,5,1,7,3,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,5,1,7,6,3]=>[3,6,7,1,5,2,4]=>[5,2,1,7,3,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,2,5,3,1,6,7]=>[7,6,1,3,5,2,4]=>[1,2,7,5,3,6,4]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[4,2,5,3,1,7,6]=>[6,7,1,3,5,2,4]=>[2,1,7,5,3,6,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,2,5,3,6,1,7]=>[7,1,6,3,5,2,4]=>[1,7,2,5,3,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,2,5,3,6,7,1]=>[1,7,6,3,5,2,4]=>[7,1,2,5,3,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[4,2,5,3,7,1,6]=>[6,1,7,3,5,2,4]=>[2,7,1,5,3,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,5,3,7,6,1]=>[1,6,7,3,5,2,4]=>[7,2,1,5,3,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,2,5,6,1,3,7]=>[7,3,1,6,5,2,4]=>[1,5,7,2,3,6,4]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[4,2,5,6,1,7,3]=>[3,7,1,6,5,2,4]=>[5,1,7,2,3,6,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,2,5,6,3,1,7]=>[7,1,3,6,5,2,4]=>[1,7,5,2,3,6,4]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[4,2,5,6,3,7,1]=>[1,7,3,6,5,2,4]=>[7,1,5,2,3,6,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,2,5,6,7,1,3]=>[3,1,7,6,5,2,4]=>[5,7,1,2,3,6,4]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,2,5,6,7,3,1]=>[1,3,7,6,5,2,4]=>[7,5,1,2,3,6,4]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[4,2,5,7,1,3,6]=>[6,3,1,7,5,2,4]=>[2,5,7,1,3,6,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,2,5,7,1,6,3]=>[3,6,1,7,5,2,4]=>[5,2,7,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,2,5,7,3,1,6]=>[6,1,3,7,5,2,4]=>[2,7,5,1,3,6,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,2,5,7,3,6,1]=>[1,6,3,7,5,2,4]=>[7,2,5,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,2,5,7,6,1,3]=>[3,1,6,7,5,2,4]=>[5,7,2,1,3,6,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[4,2,5,7,6,3,1]=>[1,3,6,7,5,2,4]=>[7,5,2,1,3,6,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[4,2,6,1,3,5,7]=>[7,5,3,1,6,2,4]=>[1,3,5,7,2,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,2,6,1,3,7,5]=>[5,7,3,1,6,2,4]=>[3,1,5,7,2,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,2,6,1,5,3,7]=>[7,3,5,1,6,2,4]=>[1,5,3,7,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,2,6,1,5,7,3]=>[3,7,5,1,6,2,4]=>[5,1,3,7,2,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,2,6,1,7,3,5]=>[5,3,7,1,6,2,4]=>[3,5,1,7,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,6,1,7,5,3]=>[3,5,7,1,6,2,4]=>[5,3,1,7,2,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,2,6,3,1,5,7]=>[7,5,1,3,6,2,4]=>[1,3,7,5,2,6,4]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[4,2,6,3,1,7,5]=>[5,7,1,3,6,2,4]=>[3,1,7,5,2,6,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,2,6,3,5,1,7]=>[7,1,5,3,6,2,4]=>[1,7,3,5,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,2,6,3,5,7,1]=>[1,7,5,3,6,2,4]=>[7,1,3,5,2,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,2,6,3,7,1,5]=>[5,1,7,3,6,2,4]=>[3,7,1,5,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,6,3,7,5,1]=>[1,5,7,3,6,2,4]=>[7,3,1,5,2,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,2,6,5,1,3,7]=>[7,3,1,5,6,2,4]=>[1,5,7,3,2,6,4]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[4,2,6,5,1,7,3]=>[3,7,1,5,6,2,4]=>[5,1,7,3,2,6,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,2,6,5,3,1,7]=>[7,1,3,5,6,2,4]=>[1,7,5,3,2,6,4]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[4,2,6,5,3,7,1]=>[1,7,3,5,6,2,4]=>[7,1,5,3,2,6,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,2,6,5,7,1,3]=>[3,1,7,5,6,2,4]=>[5,7,1,3,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,6,5,7,3,1]=>[1,3,7,5,6,2,4]=>[7,5,1,3,2,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,2,6,7,1,3,5]=>[5,3,1,7,6,2,4]=>[3,5,7,1,2,6,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,2,6,7,1,5,3]=>[3,5,1,7,6,2,4]=>[5,3,7,1,2,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,2,6,7,3,1,5]=>[5,1,3,7,6,2,4]=>[3,7,5,1,2,6,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,2,6,7,3,5,1]=>[1,5,3,7,6,2,4]=>[7,3,5,1,2,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,2,6,7,5,1,3]=>[3,1,5,7,6,2,4]=>[5,7,3,1,2,6,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[4,2,6,7,5,3,1]=>[1,3,5,7,6,2,4]=>[7,5,3,1,2,6,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[4,2,7,1,3,5,6]=>[6,5,3,1,7,2,4]=>[2,3,5,7,1,6,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,2,7,1,3,6,5]=>[5,6,3,1,7,2,4]=>[3,2,5,7,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,2,7,1,5,3,6]=>[6,3,5,1,7,2,4]=>[2,5,3,7,1,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[4,2,7,1,5,6,3]=>[3,6,5,1,7,2,4]=>[5,2,3,7,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,2,7,1,6,3,5]=>[5,3,6,1,7,2,4]=>[3,5,2,7,1,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,2,7,3,1,5,6]=>[6,5,1,3,7,2,4]=>[2,3,7,5,1,6,4]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[4,2,7,3,1,6,5]=>[5,6,1,3,7,2,4]=>[3,2,7,5,1,6,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,2,7,3,5,1,6]=>[6,1,5,3,7,2,4]=>[2,7,3,5,1,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[4,2,7,3,5,6,1]=>[1,6,5,3,7,2,4]=>[7,2,3,5,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,2,7,3,6,1,5]=>[5,1,6,3,7,2,4]=>[3,7,2,5,1,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,2,7,3,6,5,1]=>[1,5,6,3,7,2,4]=>[7,3,2,5,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,2,7,5,1,3,6]=>[6,3,1,5,7,2,4]=>[2,5,7,3,1,6,4]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[4,2,7,5,1,6,3]=>[3,6,1,5,7,2,4]=>[5,2,7,3,1,6,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,2,7,5,3,1,6]=>[6,1,3,5,7,2,4]=>[2,7,5,3,1,6,4]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,2,7,5,3,6,1]=>[1,6,3,5,7,2,4]=>[7,2,5,3,1,6,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,2,7,5,6,1,3]=>[3,1,6,5,7,2,4]=>[5,7,2,3,1,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,2,7,5,6,3,1]=>[1,3,6,5,7,2,4]=>[7,5,2,3,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,2,7,6,1,3,5]=>[5,3,1,6,7,2,4]=>[3,5,7,2,1,6,4]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[4,2,7,6,1,5,3]=>[3,5,1,6,7,2,4]=>[5,3,7,2,1,6,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,2,7,6,3,1,5]=>[5,1,3,6,7,2,4]=>[3,7,5,2,1,6,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,2,7,6,3,5,1]=>[1,5,3,6,7,2,4]=>[7,3,5,2,1,6,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,2,7,6,5,1,3]=>[3,1,5,6,7,2,4]=>[5,7,3,2,1,6,4]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,2,7,6,5,3,1]=>[1,3,5,6,7,2,4]=>[7,5,3,2,1,6,4]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,3,1,2,5,6,7]=>[7,6,5,2,1,3,4]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[4,3,1,2,5,7,6]=>[6,7,5,2,1,3,4]=>[2,1,3,6,7,5,4]=>[[.,.],[.,[[[.,[.,.]],.],.]]]
[4,3,1,2,6,5,7]=>[7,5,6,2,1,3,4]=>[1,3,2,6,7,5,4]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[4,3,1,2,6,7,5]=>[5,7,6,2,1,3,4]=>[3,1,2,6,7,5,4]=>[[.,.],[.,[[[.,[.,.]],.],.]]]
[4,3,1,2,7,5,6]=>[6,5,7,2,1,3,4]=>[2,3,1,6,7,5,4]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[4,3,1,2,7,6,5]=>[5,6,7,2,1,3,4]=>[3,2,1,6,7,5,4]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[4,3,1,5,2,6,7]=>[7,6,2,5,1,3,4]=>[1,2,6,3,7,5,4]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[4,3,1,5,2,7,6]=>[6,7,2,5,1,3,4]=>[2,1,6,3,7,5,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,3,1,5,6,2,7]=>[7,2,6,5,1,3,4]=>[1,6,2,3,7,5,4]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[4,3,1,5,6,7,2]=>[2,7,6,5,1,3,4]=>[6,1,2,3,7,5,4]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[4,3,1,5,7,2,6]=>[6,2,7,5,1,3,4]=>[2,6,1,3,7,5,4]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[4,3,1,5,7,6,2]=>[2,6,7,5,1,3,4]=>[6,2,1,3,7,5,4]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[4,3,1,6,2,5,7]=>[7,5,2,6,1,3,4]=>[1,3,6,2,7,5,4]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[4,3,1,6,2,7,5]=>[5,7,2,6,1,3,4]=>[3,1,6,2,7,5,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,3,1,6,5,2,7]=>[7,2,5,6,1,3,4]=>[1,6,3,2,7,5,4]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[4,3,1,6,5,7,2]=>[2,7,5,6,1,3,4]=>[6,1,3,2,7,5,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,3,1,6,7,2,5]=>[5,2,7,6,1,3,4]=>[3,6,1,2,7,5,4]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[4,3,1,6,7,5,2]=>[2,5,7,6,1,3,4]=>[6,3,1,2,7,5,4]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[4,3,1,7,2,5,6]=>[6,5,2,7,1,3,4]=>[2,3,6,1,7,5,4]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[4,3,1,7,2,6,5]=>[5,6,2,7,1,3,4]=>[3,2,6,1,7,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,3,1,7,5,2,6]=>[6,2,5,7,1,3,4]=>[2,6,3,1,7,5,4]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,3,1,7,5,6,2]=>[2,6,5,7,1,3,4]=>[6,2,3,1,7,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,3,1,7,6,2,5]=>[5,2,6,7,1,3,4]=>[3,6,2,1,7,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,1,7,6,5,2]=>[2,5,6,7,1,3,4]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],.],[[[.,.],.],.]]
[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]=>[2,1,3,7,6,5,4]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4]=>[1,3,2,7,6,5,4]=>[.,[[.,.],[[[[.,.],.],.],.]]]
[4,3,2,1,6,7,5]=>[5,7,6,1,2,3,4]=>[3,1,2,7,6,5,4]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[4,3,2,1,7,5,6]=>[6,5,7,1,2,3,4]=>[2,3,1,7,6,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[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]=>[2,1,7,3,6,5,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,3,2,5,6,1,7]=>[7,1,6,5,2,3,4]=>[1,7,2,3,6,5,4]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[4,3,2,5,6,7,1]=>[1,7,6,5,2,3,4]=>[7,1,2,3,6,5,4]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[4,3,2,5,7,1,6]=>[6,1,7,5,2,3,4]=>[2,7,1,3,6,5,4]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[4,3,2,5,7,6,1]=>[1,6,7,5,2,3,4]=>[7,2,1,3,6,5,4]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[4,3,2,6,1,5,7]=>[7,5,1,6,2,3,4]=>[1,3,7,2,6,5,4]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[4,3,2,6,1,7,5]=>[5,7,1,6,2,3,4]=>[3,1,7,2,6,5,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,3,2,6,5,1,7]=>[7,1,5,6,2,3,4]=>[1,7,3,2,6,5,4]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4]=>[7,1,3,2,6,5,4]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[4,3,2,6,7,1,5]=>[5,1,7,6,2,3,4]=>[3,7,1,2,6,5,4]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[4,3,2,6,7,5,1]=>[1,5,7,6,2,3,4]=>[7,3,1,2,6,5,4]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[4,3,2,7,1,5,6]=>[6,5,1,7,2,3,4]=>[2,3,7,1,6,5,4]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[4,3,2,7,1,6,5]=>[5,6,1,7,2,3,4]=>[3,2,7,1,6,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,3,2,7,5,1,6]=>[6,1,5,7,2,3,4]=>[2,7,3,1,6,5,4]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[4,3,2,7,5,6,1]=>[1,6,5,7,2,3,4]=>[7,2,3,1,6,5,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[4,3,2,7,6,1,5]=>[5,1,6,7,2,3,4]=>[3,7,2,1,6,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4]=>[7,3,2,1,6,5,4]=>[[[[.,.],.],.],[[[.,.],.],.]]
[4,3,5,1,2,6,7]=>[7,6,2,1,5,3,4]=>[1,2,6,7,3,5,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,3,5,1,2,7,6]=>[6,7,2,1,5,3,4]=>[2,1,6,7,3,5,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,3,5,1,6,2,7]=>[7,2,6,1,5,3,4]=>[1,6,2,7,3,5,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,3,5,1,6,7,2]=>[2,7,6,1,5,3,4]=>[6,1,2,7,3,5,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[4,3,5,1,7,2,6]=>[6,2,7,1,5,3,4]=>[2,6,1,7,3,5,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,3,5,1,7,6,2]=>[2,6,7,1,5,3,4]=>[6,2,1,7,3,5,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,3,5,2,1,6,7]=>[7,6,1,2,5,3,4]=>[1,2,7,6,3,5,4]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[4,3,5,2,1,7,6]=>[6,7,1,2,5,3,4]=>[2,1,7,6,3,5,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[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]=>[7,1,2,6,3,5,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[4,3,5,2,7,1,6]=>[6,1,7,2,5,3,4]=>[2,7,1,6,3,5,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,3,5,2,7,6,1]=>[1,6,7,2,5,3,4]=>[7,2,1,6,3,5,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,3,5,6,1,2,7]=>[7,2,1,6,5,3,4]=>[1,6,7,2,3,5,4]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[4,3,5,6,1,7,2]=>[2,7,1,6,5,3,4]=>[6,1,7,2,3,5,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[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]=>[7,1,6,2,3,5,4]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,3,5,6,7,1,2]=>[2,1,7,6,5,3,4]=>[6,7,1,2,3,5,4]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,3,5,6,7,2,1]=>[1,2,7,6,5,3,4]=>[7,6,1,2,3,5,4]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[4,3,5,7,1,2,6]=>[6,2,1,7,5,3,4]=>[2,6,7,1,3,5,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,3,5,7,1,6,2]=>[2,6,1,7,5,3,4]=>[6,2,7,1,3,5,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,3,5,7,2,1,6]=>[6,1,2,7,5,3,4]=>[2,7,6,1,3,5,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,3,5,7,2,6,1]=>[1,6,2,7,5,3,4]=>[7,2,6,1,3,5,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,3,5,7,6,1,2]=>[2,1,6,7,5,3,4]=>[6,7,2,1,3,5,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[4,3,5,7,6,2,1]=>[1,2,6,7,5,3,4]=>[7,6,2,1,3,5,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[4,3,6,1,2,5,7]=>[7,5,2,1,6,3,4]=>[1,3,6,7,2,5,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,3,6,1,2,7,5]=>[5,7,2,1,6,3,4]=>[3,1,6,7,2,5,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,3,6,1,5,2,7]=>[7,2,5,1,6,3,4]=>[1,6,3,7,2,5,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,3,6,1,5,7,2]=>[2,7,5,1,6,3,4]=>[6,1,3,7,2,5,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,3,6,1,7,2,5]=>[5,2,7,1,6,3,4]=>[3,6,1,7,2,5,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,3,6,1,7,5,2]=>[2,5,7,1,6,3,4]=>[6,3,1,7,2,5,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,3,6,2,1,5,7]=>[7,5,1,2,6,3,4]=>[1,3,7,6,2,5,4]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[4,3,6,2,1,7,5]=>[5,7,1,2,6,3,4]=>[3,1,7,6,2,5,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,3,6,2,5,1,7]=>[7,1,5,2,6,3,4]=>[1,7,3,6,2,5,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,3,6,2,5,7,1]=>[1,7,5,2,6,3,4]=>[7,1,3,6,2,5,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,3,6,2,7,1,5]=>[5,1,7,2,6,3,4]=>[3,7,1,6,2,5,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,3,6,2,7,5,1]=>[1,5,7,2,6,3,4]=>[7,3,1,6,2,5,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,3,6,5,1,2,7]=>[7,2,1,5,6,3,4]=>[1,6,7,3,2,5,4]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[4,3,6,5,1,7,2]=>[2,7,1,5,6,3,4]=>[6,1,7,3,2,5,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,3,6,5,2,1,7]=>[7,1,2,5,6,3,4]=>[1,7,6,3,2,5,4]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[4,3,6,5,2,7,1]=>[1,7,2,5,6,3,4]=>[7,1,6,3,2,5,4]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,3,6,5,7,1,2]=>[2,1,7,5,6,3,4]=>[6,7,1,3,2,5,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,3,6,5,7,2,1]=>[1,2,7,5,6,3,4]=>[7,6,1,3,2,5,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,3,6,7,1,2,5]=>[5,2,1,7,6,3,4]=>[3,6,7,1,2,5,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,3,6,7,1,5,2]=>[2,5,1,7,6,3,4]=>[6,3,7,1,2,5,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,3,6,7,2,1,5]=>[5,1,2,7,6,3,4]=>[3,7,6,1,2,5,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,3,6,7,2,5,1]=>[1,5,2,7,6,3,4]=>[7,3,6,1,2,5,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[4,3,6,7,5,1,2]=>[2,1,5,7,6,3,4]=>[6,7,3,1,2,5,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[4,3,6,7,5,2,1]=>[1,2,5,7,6,3,4]=>[7,6,3,1,2,5,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[4,3,7,1,2,5,6]=>[6,5,2,1,7,3,4]=>[2,3,6,7,1,5,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,3,7,1,2,6,5]=>[5,6,2,1,7,3,4]=>[3,2,6,7,1,5,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,3,7,1,5,2,6]=>[6,2,5,1,7,3,4]=>[2,6,3,7,1,5,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[4,3,7,1,5,6,2]=>[2,6,5,1,7,3,4]=>[6,2,3,7,1,5,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,3,7,1,6,2,5]=>[5,2,6,1,7,3,4]=>[3,6,2,7,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,3,7,1,6,5,2]=>[2,5,6,1,7,3,4]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,3,7,2,1,5,6]=>[6,5,1,2,7,3,4]=>[2,3,7,6,1,5,4]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[4,3,7,2,1,6,5]=>[5,6,1,2,7,3,4]=>[3,2,7,6,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,3,7,2,5,1,6]=>[6,1,5,2,7,3,4]=>[2,7,3,6,1,5,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[4,3,7,2,5,6,1]=>[1,6,5,2,7,3,4]=>[7,2,3,6,1,5,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,3,7,2,6,1,5]=>[5,1,6,2,7,3,4]=>[3,7,2,6,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,3,7,2,6,5,1]=>[1,5,6,2,7,3,4]=>[7,3,2,6,1,5,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,3,7,5,1,2,6]=>[6,2,1,5,7,3,4]=>[2,6,7,3,1,5,4]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[4,3,7,5,1,6,2]=>[2,6,1,5,7,3,4]=>[6,2,7,3,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,3,7,5,2,1,6]=>[6,1,2,5,7,3,4]=>[2,7,6,3,1,5,4]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,3,7,5,2,6,1]=>[1,6,2,5,7,3,4]=>[7,2,6,3,1,5,4]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[4,3,7,5,6,1,2]=>[2,1,6,5,7,3,4]=>[6,7,2,3,1,5,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,3,7,5,6,2,1]=>[1,2,6,5,7,3,4]=>[7,6,2,3,1,5,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,3,7,6,1,2,5]=>[5,2,1,6,7,3,4]=>[3,6,7,2,1,5,4]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[4,3,7,6,1,5,2]=>[2,5,1,6,7,3,4]=>[6,3,7,2,1,5,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,3,7,6,2,1,5]=>[5,1,2,6,7,3,4]=>[3,7,6,2,1,5,4]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[4,3,7,6,2,5,1]=>[1,5,2,6,7,3,4]=>[7,3,6,2,1,5,4]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[4,3,7,6,5,1,2]=>[2,1,5,6,7,3,4]=>[6,7,3,2,1,5,4]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[4,3,7,6,5,2,1]=>[1,2,5,6,7,3,4]=>[7,6,3,2,1,5,4]=>[[[[[.,.],.],.],.],[[.,.],.]]
[4,5,1,2,3,6,7]=>[7,6,3,2,1,5,4]=>[1,2,5,6,7,3,4]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[4,5,1,2,3,7,6]=>[6,7,3,2,1,5,4]=>[2,1,5,6,7,3,4]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,5,1,2,6,3,7]=>[7,3,6,2,1,5,4]=>[1,5,2,6,7,3,4]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[4,5,1,2,6,7,3]=>[3,7,6,2,1,5,4]=>[5,1,2,6,7,3,4]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[4,5,1,2,7,3,6]=>[6,3,7,2,1,5,4]=>[2,5,1,6,7,3,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,5,1,2,7,6,3]=>[3,6,7,2,1,5,4]=>[5,2,1,6,7,3,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[4,5,1,3,2,6,7]=>[7,6,2,3,1,5,4]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[4,5,1,3,2,7,6]=>[6,7,2,3,1,5,4]=>[2,1,6,5,7,3,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,5,1,3,6,2,7]=>[7,2,6,3,1,5,4]=>[1,6,2,5,7,3,4]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[4,5,1,3,6,7,2]=>[2,7,6,3,1,5,4]=>[6,1,2,5,7,3,4]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[4,5,1,3,7,2,6]=>[6,2,7,3,1,5,4]=>[2,6,1,5,7,3,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,5,1,3,7,6,2]=>[2,6,7,3,1,5,4]=>[6,2,1,5,7,3,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[4,5,1,6,2,3,7]=>[7,3,2,6,1,5,4]=>[1,5,6,2,7,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,5,1,6,2,7,3]=>[3,7,2,6,1,5,4]=>[5,1,6,2,7,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,5,1,6,3,2,7]=>[7,2,3,6,1,5,4]=>[1,6,5,2,7,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,5,1,6,3,7,2]=>[2,7,3,6,1,5,4]=>[6,1,5,2,7,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,5,1,6,7,2,3]=>[3,2,7,6,1,5,4]=>[5,6,1,2,7,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,5,1,6,7,3,2]=>[2,3,7,6,1,5,4]=>[6,5,1,2,7,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,5,1,7,2,3,6]=>[6,3,2,7,1,5,4]=>[2,5,6,1,7,3,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,5,1,7,2,6,3]=>[3,6,2,7,1,5,4]=>[5,2,6,1,7,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,5,1,7,3,2,6]=>[6,2,3,7,1,5,4]=>[2,6,5,1,7,3,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,5,1,7,3,6,2]=>[2,6,3,7,1,5,4]=>[6,2,5,1,7,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,5,1,7,6,2,3]=>[3,2,6,7,1,5,4]=>[5,6,2,1,7,3,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,5,1,7,6,3,2]=>[2,3,6,7,1,5,4]=>[6,5,2,1,7,3,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[4,5,2,1,3,6,7]=>[7,6,3,1,2,5,4]=>[1,2,5,7,6,3,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[4,5,2,1,3,7,6]=>[6,7,3,1,2,5,4]=>[2,1,5,7,6,3,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[4,5,2,1,6,3,7]=>[7,3,6,1,2,5,4]=>[1,5,2,7,6,3,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,5,2,1,6,7,3]=>[3,7,6,1,2,5,4]=>[5,1,2,7,6,3,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[4,5,2,1,7,3,6]=>[6,3,7,1,2,5,4]=>[2,5,1,7,6,3,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,5,2,1,7,6,3]=>[3,6,7,1,2,5,4]=>[5,2,1,7,6,3,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,5,2,3,1,6,7]=>[7,6,1,3,2,5,4]=>[1,2,7,5,6,3,4]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[4,5,2,3,1,7,6]=>[6,7,1,3,2,5,4]=>[2,1,7,5,6,3,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,5,2,3,6,1,7]=>[7,1,6,3,2,5,4]=>[1,7,2,5,6,3,4]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[4,5,2,3,6,7,1]=>[1,7,6,3,2,5,4]=>[7,1,2,5,6,3,4]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[4,5,2,3,7,1,6]=>[6,1,7,3,2,5,4]=>[2,7,1,5,6,3,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4]=>[7,2,1,5,6,3,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[4,5,2,6,1,3,7]=>[7,3,1,6,2,5,4]=>[1,5,7,2,6,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,5,2,6,1,7,3]=>[3,7,1,6,2,5,4]=>[5,1,7,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,5,2,6,3,1,7]=>[7,1,3,6,2,5,4]=>[1,7,5,2,6,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,5,2,6,3,7,1]=>[1,7,3,6,2,5,4]=>[7,1,5,2,6,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,5,2,6,7,1,3]=>[3,1,7,6,2,5,4]=>[5,7,1,2,6,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,5,2,6,7,3,1]=>[1,3,7,6,2,5,4]=>[7,5,1,2,6,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,5,2,7,1,3,6]=>[6,3,1,7,2,5,4]=>[2,5,7,1,6,3,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,5,2,7,1,6,3]=>[3,6,1,7,2,5,4]=>[5,2,7,1,6,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,5,2,7,3,1,6]=>[6,1,3,7,2,5,4]=>[2,7,5,1,6,3,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,5,2,7,3,6,1]=>[1,6,3,7,2,5,4]=>[7,2,5,1,6,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,5,2,7,6,1,3]=>[3,1,6,7,2,5,4]=>[5,7,2,1,6,3,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,5,2,7,6,3,1]=>[1,3,6,7,2,5,4]=>[7,5,2,1,6,3,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[4,5,3,1,2,6,7]=>[7,6,2,1,3,5,4]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,5,3,1,2,7,6]=>[6,7,2,1,3,5,4]=>[2,1,6,7,5,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,5,3,1,6,2,7]=>[7,2,6,1,3,5,4]=>[1,6,2,7,5,3,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,5,3,1,6,7,2]=>[2,7,6,1,3,5,4]=>[6,1,2,7,5,3,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[4,5,3,1,7,2,6]=>[6,2,7,1,3,5,4]=>[2,6,1,7,5,3,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,5,3,1,7,6,2]=>[2,6,7,1,3,5,4]=>[6,2,1,7,5,3,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,5,3,2,1,6,7]=>[7,6,1,2,3,5,4]=>[1,2,7,6,5,3,4]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[4,5,3,2,1,7,6]=>[6,7,1,2,3,5,4]=>[2,1,7,6,5,3,4]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[4,5,3,2,6,1,7]=>[7,1,6,2,3,5,4]=>[1,7,2,6,5,3,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[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]=>[2,7,1,6,5,3,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,5,3,2,7,6,1]=>[1,6,7,2,3,5,4]=>[7,2,1,6,5,3,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,5,3,6,1,2,7]=>[7,2,1,6,3,5,4]=>[1,6,7,2,5,3,4]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,5,3,6,1,7,2]=>[2,7,1,6,3,5,4]=>[6,1,7,2,5,3,4]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[4,5,3,6,2,1,7]=>[7,1,2,6,3,5,4]=>[1,7,6,2,5,3,4]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[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]=>[6,7,1,2,5,3,4]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[4,5,3,6,7,2,1]=>[1,2,7,6,3,5,4]=>[7,6,1,2,5,3,4]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[4,5,3,7,1,2,6]=>[6,2,1,7,3,5,4]=>[2,6,7,1,5,3,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,5,3,7,1,6,2]=>[2,6,1,7,3,5,4]=>[6,2,7,1,5,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,5,3,7,2,1,6]=>[6,1,2,7,3,5,4]=>[2,7,6,1,5,3,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,5,3,7,2,6,1]=>[1,6,2,7,3,5,4]=>[7,2,6,1,5,3,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,5,3,7,6,1,2]=>[2,1,6,7,3,5,4]=>[6,7,2,1,5,3,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,5,3,7,6,2,1]=>[1,2,6,7,3,5,4]=>[7,6,2,1,5,3,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[4,5,6,1,2,3,7]=>[7,3,2,1,6,5,4]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,5,6,1,2,7,3]=>[3,7,2,1,6,5,4]=>[5,1,6,7,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,5,6,1,3,2,7]=>[7,2,3,1,6,5,4]=>[1,6,5,7,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,5,6,1,3,7,2]=>[2,7,3,1,6,5,4]=>[6,1,5,7,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,5,6,1,7,2,3]=>[3,2,7,1,6,5,4]=>[5,6,1,7,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,5,6,1,7,3,2]=>[2,3,7,1,6,5,4]=>[6,5,1,7,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,5,6,2,1,3,7]=>[7,3,1,2,6,5,4]=>[1,5,7,6,2,3,4]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[4,5,6,2,1,7,3]=>[3,7,1,2,6,5,4]=>[5,1,7,6,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[4,5,6,2,3,1,7]=>[7,1,3,2,6,5,4]=>[1,7,5,6,2,3,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,5,6,2,3,7,1]=>[1,7,3,2,6,5,4]=>[7,1,5,6,2,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,5,6,2,7,1,3]=>[3,1,7,2,6,5,4]=>[5,7,1,6,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,5,6,2,7,3,1]=>[1,3,7,2,6,5,4]=>[7,5,1,6,2,3,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,5,6,3,1,2,7]=>[7,2,1,3,6,5,4]=>[1,6,7,5,2,3,4]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[4,5,6,3,1,7,2]=>[2,7,1,3,6,5,4]=>[6,1,7,5,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[4,5,6,3,2,1,7]=>[7,1,2,3,6,5,4]=>[1,7,6,5,2,3,4]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[4,5,6,3,2,7,1]=>[1,7,2,3,6,5,4]=>[7,1,6,5,2,3,4]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[4,5,6,3,7,1,2]=>[2,1,7,3,6,5,4]=>[6,7,1,5,2,3,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[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]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[4,5,6,7,1,3,2]=>[2,3,1,7,6,5,4]=>[6,5,7,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[4,5,6,7,2,1,3]=>[3,1,2,7,6,5,4]=>[5,7,6,1,2,3,4]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[4,5,6,7,2,3,1]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[4,5,6,7,3,1,2]=>[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[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]=>[2,5,6,7,1,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,5,7,1,2,6,3]=>[3,6,2,1,7,5,4]=>[5,2,6,7,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,5,7,1,3,2,6]=>[6,2,3,1,7,5,4]=>[2,6,5,7,1,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,5,7,1,3,6,2]=>[2,6,3,1,7,5,4]=>[6,2,5,7,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,5,7,1,6,2,3]=>[3,2,6,1,7,5,4]=>[5,6,2,7,1,3,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,5,7,1,6,3,2]=>[2,3,6,1,7,5,4]=>[6,5,2,7,1,3,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[4,5,7,2,1,3,6]=>[6,3,1,2,7,5,4]=>[2,5,7,6,1,3,4]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[4,5,7,2,1,6,3]=>[3,6,1,2,7,5,4]=>[5,2,7,6,1,3,4]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[4,5,7,2,3,1,6]=>[6,1,3,2,7,5,4]=>[2,7,5,6,1,3,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,5,7,2,3,6,1]=>[1,6,3,2,7,5,4]=>[7,2,5,6,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,5,7,2,6,1,3]=>[3,1,6,2,7,5,4]=>[5,7,2,6,1,3,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,5,7,2,6,3,1]=>[1,3,6,2,7,5,4]=>[7,5,2,6,1,3,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[4,5,7,3,1,2,6]=>[6,2,1,3,7,5,4]=>[2,6,7,5,1,3,4]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[4,5,7,3,1,6,2]=>[2,6,1,3,7,5,4]=>[6,2,7,5,1,3,4]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[4,5,7,3,2,1,6]=>[6,1,2,3,7,5,4]=>[2,7,6,5,1,3,4]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[4,5,7,3,2,6,1]=>[1,6,2,3,7,5,4]=>[7,2,6,5,1,3,4]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[4,5,7,3,6,1,2]=>[2,1,6,3,7,5,4]=>[6,7,2,5,1,3,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,5,7,3,6,2,1]=>[1,2,6,3,7,5,4]=>[7,6,2,5,1,3,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[4,5,7,6,1,2,3]=>[3,2,1,6,7,5,4]=>[5,6,7,2,1,3,4]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[4,5,7,6,1,3,2]=>[2,3,1,6,7,5,4]=>[6,5,7,2,1,3,4]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[4,5,7,6,2,1,3]=>[3,1,2,6,7,5,4]=>[5,7,6,2,1,3,4]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[4,5,7,6,2,3,1]=>[1,3,2,6,7,5,4]=>[7,5,6,2,1,3,4]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[4,5,7,6,3,1,2]=>[2,1,3,6,7,5,4]=>[6,7,5,2,1,3,4]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[4,5,7,6,3,2,1]=>[1,2,3,6,7,5,4]=>[7,6,5,2,1,3,4]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[4,6,1,2,3,5,7]=>[7,5,3,2,1,6,4]=>[1,3,5,6,7,2,4]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,1,2,3,7,5]=>[5,7,3,2,1,6,4]=>[3,1,5,6,7,2,4]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,6,1,2,5,3,7]=>[7,3,5,2,1,6,4]=>[1,5,3,6,7,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,6,1,2,5,7,3]=>[3,7,5,2,1,6,4]=>[5,1,3,6,7,2,4]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,6,1,2,7,3,5]=>[5,3,7,2,1,6,4]=>[3,5,1,6,7,2,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,6,1,2,7,5,3]=>[3,5,7,2,1,6,4]=>[5,3,1,6,7,2,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[4,6,1,3,2,5,7]=>[7,5,2,3,1,6,4]=>[1,3,6,5,7,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,6,1,3,2,7,5]=>[5,7,2,3,1,6,4]=>[3,1,6,5,7,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,6,1,3,5,2,7]=>[7,2,5,3,1,6,4]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,6,1,3,5,7,2]=>[2,7,5,3,1,6,4]=>[6,1,3,5,7,2,4]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,6,1,3,7,2,5]=>[5,2,7,3,1,6,4]=>[3,6,1,5,7,2,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,6,1,3,7,5,2]=>[2,5,7,3,1,6,4]=>[6,3,1,5,7,2,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[4,6,1,5,2,3,7]=>[7,3,2,5,1,6,4]=>[1,5,6,3,7,2,4]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,6,1,5,2,7,3]=>[3,7,2,5,1,6,4]=>[5,1,6,3,7,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,6,1,5,3,2,7]=>[7,2,3,5,1,6,4]=>[1,6,5,3,7,2,4]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,6,1,5,3,7,2]=>[2,7,3,5,1,6,4]=>[6,1,5,3,7,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,6,1,5,7,2,3]=>[3,2,7,5,1,6,4]=>[5,6,1,3,7,2,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,6,1,5,7,3,2]=>[2,3,7,5,1,6,4]=>[6,5,1,3,7,2,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[4,6,1,7,2,3,5]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,6,1,7,2,5,3]=>[3,5,2,7,1,6,4]=>[5,3,6,1,7,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,6,1,7,3,2,5]=>[5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,6,1,7,3,5,2]=>[2,5,3,7,1,6,4]=>[6,3,5,1,7,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,6,1,7,5,2,3]=>[3,2,5,7,1,6,4]=>[5,6,3,1,7,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,6,1,7,5,3,2]=>[2,3,5,7,1,6,4]=>[6,5,3,1,7,2,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[4,6,2,1,3,5,7]=>[7,5,3,1,2,6,4]=>[1,3,5,7,6,2,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[4,6,2,1,3,7,5]=>[5,7,3,1,2,6,4]=>[3,1,5,7,6,2,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[4,6,2,1,5,3,7]=>[7,3,5,1,2,6,4]=>[1,5,3,7,6,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,6,2,1,5,7,3]=>[3,7,5,1,2,6,4]=>[5,1,3,7,6,2,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[4,6,2,1,7,3,5]=>[5,3,7,1,2,6,4]=>[3,5,1,7,6,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,6,2,1,7,5,3]=>[3,5,7,1,2,6,4]=>[5,3,1,7,6,2,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,6,2,3,1,5,7]=>[7,5,1,3,2,6,4]=>[1,3,7,5,6,2,4]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,6,2,3,1,7,5]=>[5,7,1,3,2,6,4]=>[3,1,7,5,6,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,6,2,3,5,1,7]=>[7,1,5,3,2,6,4]=>[1,7,3,5,6,2,4]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,6,2,3,5,7,1]=>[1,7,5,3,2,6,4]=>[7,1,3,5,6,2,4]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,6,2,3,7,1,5]=>[5,1,7,3,2,6,4]=>[3,7,1,5,6,2,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,6,2,3,7,5,1]=>[1,5,7,3,2,6,4]=>[7,3,1,5,6,2,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[4,6,2,5,1,3,7]=>[7,3,1,5,2,6,4]=>[1,5,7,3,6,2,4]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,6,2,5,1,7,3]=>[3,7,1,5,2,6,4]=>[5,1,7,3,6,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,6,2,5,3,1,7]=>[7,1,3,5,2,6,4]=>[1,7,5,3,6,2,4]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4]=>[7,1,5,3,6,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,6,2,5,7,1,3]=>[3,1,7,5,2,6,4]=>[5,7,1,3,6,2,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,6,2,5,7,3,1]=>[1,3,7,5,2,6,4]=>[7,5,1,3,6,2,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[4,6,2,7,1,3,5]=>[5,3,1,7,2,6,4]=>[3,5,7,1,6,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,6,2,7,1,5,3]=>[3,5,1,7,2,6,4]=>[5,3,7,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,6,2,7,3,1,5]=>[5,1,3,7,2,6,4]=>[3,7,5,1,6,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4]=>[7,3,5,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,6,2,7,5,1,3]=>[3,1,5,7,2,6,4]=>[5,7,3,1,6,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,6,2,7,5,3,1]=>[1,3,5,7,2,6,4]=>[7,5,3,1,6,2,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[4,6,3,1,2,5,7]=>[7,5,2,1,3,6,4]=>[1,3,6,7,5,2,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[4,6,3,1,2,7,5]=>[5,7,2,1,3,6,4]=>[3,1,6,7,5,2,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,6,3,1,5,2,7]=>[7,2,5,1,3,6,4]=>[1,6,3,7,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,6,3,1,5,7,2]=>[2,7,5,1,3,6,4]=>[6,1,3,7,5,2,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[4,6,3,1,7,2,5]=>[5,2,7,1,3,6,4]=>[3,6,1,7,5,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,6,3,1,7,5,2]=>[2,5,7,1,3,6,4]=>[6,3,1,7,5,2,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,6,3,2,1,5,7]=>[7,5,1,2,3,6,4]=>[1,3,7,6,5,2,4]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[4,6,3,2,1,7,5]=>[5,7,1,2,3,6,4]=>[3,1,7,6,5,2,4]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[4,6,3,2,5,1,7]=>[7,1,5,2,3,6,4]=>[1,7,3,6,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,6,3,2,5,7,1]=>[1,7,5,2,3,6,4]=>[7,1,3,6,5,2,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[4,6,3,2,7,1,5]=>[5,1,7,2,3,6,4]=>[3,7,1,6,5,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,6,3,2,7,5,1]=>[1,5,7,2,3,6,4]=>[7,3,1,6,5,2,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,6,3,5,1,2,7]=>[7,2,1,5,3,6,4]=>[1,6,7,3,5,2,4]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,6,3,5,1,7,2]=>[2,7,1,5,3,6,4]=>[6,1,7,3,5,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,6,3,5,2,1,7]=>[7,1,2,5,3,6,4]=>[1,7,6,3,5,2,4]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,6,3,5,2,7,1]=>[1,7,2,5,3,6,4]=>[7,1,6,3,5,2,4]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,6,3,5,7,1,2]=>[2,1,7,5,3,6,4]=>[6,7,1,3,5,2,4]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,6,3,5,7,2,1]=>[1,2,7,5,3,6,4]=>[7,6,1,3,5,2,4]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[4,6,3,7,1,2,5]=>[5,2,1,7,3,6,4]=>[3,6,7,1,5,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,6,3,7,1,5,2]=>[2,5,1,7,3,6,4]=>[6,3,7,1,5,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,6,3,7,2,1,5]=>[5,1,2,7,3,6,4]=>[3,7,6,1,5,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,6,3,7,2,5,1]=>[1,5,2,7,3,6,4]=>[7,3,6,1,5,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,6,3,7,5,1,2]=>[2,1,5,7,3,6,4]=>[6,7,3,1,5,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,6,3,7,5,2,1]=>[1,2,5,7,3,6,4]=>[7,6,3,1,5,2,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[4,6,5,1,2,3,7]=>[7,3,2,1,5,6,4]=>[1,5,6,7,3,2,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,6,5,1,2,7,3]=>[3,7,2,1,5,6,4]=>[5,1,6,7,3,2,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,6,5,1,3,2,7]=>[7,2,3,1,5,6,4]=>[1,6,5,7,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,6,5,1,3,7,2]=>[2,7,3,1,5,6,4]=>[6,1,5,7,3,2,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,6,5,1,7,2,3]=>[3,2,7,1,5,6,4]=>[5,6,1,7,3,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,6,5,1,7,3,2]=>[2,3,7,1,5,6,4]=>[6,5,1,7,3,2,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,6,5,2,1,3,7]=>[7,3,1,2,5,6,4]=>[1,5,7,6,3,2,4]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[4,6,5,2,1,7,3]=>[3,7,1,2,5,6,4]=>[5,1,7,6,3,2,4]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[4,6,5,2,3,1,7]=>[7,1,3,2,5,6,4]=>[1,7,5,6,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,6,5,2,3,7,1]=>[1,7,3,2,5,6,4]=>[7,1,5,6,3,2,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,6,5,2,7,1,3]=>[3,1,7,2,5,6,4]=>[5,7,1,6,3,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,6,5,2,7,3,1]=>[1,3,7,2,5,6,4]=>[7,5,1,6,3,2,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,6,5,3,1,2,7]=>[7,2,1,3,5,6,4]=>[1,6,7,5,3,2,4]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[4,6,5,3,1,7,2]=>[2,7,1,3,5,6,4]=>[6,1,7,5,3,2,4]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[4,6,5,3,2,1,7]=>[7,1,2,3,5,6,4]=>[1,7,6,5,3,2,4]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[4,6,5,3,2,7,1]=>[1,7,2,3,5,6,4]=>[7,1,6,5,3,2,4]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[4,6,5,3,7,1,2]=>[2,1,7,3,5,6,4]=>[6,7,1,5,3,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,6,5,3,7,2,1]=>[1,2,7,3,5,6,4]=>[7,6,1,5,3,2,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,6,5,7,1,2,3]=>[3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,6,5,7,1,3,2]=>[2,3,1,7,5,6,4]=>[6,5,7,1,3,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,6,5,7,2,1,3]=>[3,1,2,7,5,6,4]=>[5,7,6,1,3,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,6,5,7,2,3,1]=>[1,3,2,7,5,6,4]=>[7,5,6,1,3,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[4,6,5,7,3,1,2]=>[2,1,3,7,5,6,4]=>[6,7,5,1,3,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[4,6,5,7,3,2,1]=>[1,2,3,7,5,6,4]=>[7,6,5,1,3,2,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[4,6,7,1,2,3,5]=>[5,3,2,1,7,6,4]=>[3,5,6,7,1,2,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,6,7,1,2,5,3]=>[3,5,2,1,7,6,4]=>[5,3,6,7,1,2,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,6,7,1,3,2,5]=>[5,2,3,1,7,6,4]=>[3,6,5,7,1,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,6,7,1,3,5,2]=>[2,5,3,1,7,6,4]=>[6,3,5,7,1,2,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,6,7,1,5,2,3]=>[3,2,5,1,7,6,4]=>[5,6,3,7,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,6,7,1,5,3,2]=>[2,3,5,1,7,6,4]=>[6,5,3,7,1,2,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[4,6,7,2,1,3,5]=>[5,3,1,2,7,6,4]=>[3,5,7,6,1,2,4]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[4,6,7,2,1,5,3]=>[3,5,1,2,7,6,4]=>[5,3,7,6,1,2,4]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[4,6,7,2,3,1,5]=>[5,1,3,2,7,6,4]=>[3,7,5,6,1,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,6,7,2,3,5,1]=>[1,5,3,2,7,6,4]=>[7,3,5,6,1,2,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,6,7,2,5,1,3]=>[3,1,5,2,7,6,4]=>[5,7,3,6,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,6,7,2,5,3,1]=>[1,3,5,2,7,6,4]=>[7,5,3,6,1,2,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[4,6,7,3,1,2,5]=>[5,2,1,3,7,6,4]=>[3,6,7,5,1,2,4]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[4,6,7,3,1,5,2]=>[2,5,1,3,7,6,4]=>[6,3,7,5,1,2,4]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[4,6,7,3,2,1,5]=>[5,1,2,3,7,6,4]=>[3,7,6,5,1,2,4]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[4,6,7,3,2,5,1]=>[1,5,2,3,7,6,4]=>[7,3,6,5,1,2,4]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[4,6,7,3,5,1,2]=>[2,1,5,3,7,6,4]=>[6,7,3,5,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,6,7,3,5,2,1]=>[1,2,5,3,7,6,4]=>[7,6,3,5,1,2,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[4,6,7,5,1,2,3]=>[3,2,1,5,7,6,4]=>[5,6,7,3,1,2,4]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[4,6,7,5,1,3,2]=>[2,3,1,5,7,6,4]=>[6,5,7,3,1,2,4]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[4,6,7,5,2,1,3]=>[3,1,2,5,7,6,4]=>[5,7,6,3,1,2,4]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[4,6,7,5,2,3,1]=>[1,3,2,5,7,6,4]=>[7,5,6,3,1,2,4]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[4,6,7,5,3,1,2]=>[2,1,3,5,7,6,4]=>[6,7,5,3,1,2,4]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[4,6,7,5,3,2,1]=>[1,2,3,5,7,6,4]=>[7,6,5,3,1,2,4]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[4,7,1,2,3,5,6]=>[6,5,3,2,1,7,4]=>[2,3,5,6,7,1,4]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[4,7,1,2,3,6,5]=>[5,6,3,2,1,7,4]=>[3,2,5,6,7,1,4]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[4,7,1,2,5,3,6]=>[6,3,5,2,1,7,4]=>[2,5,3,6,7,1,4]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[4,7,1,2,5,6,3]=>[3,6,5,2,1,7,4]=>[5,2,3,6,7,1,4]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[4,7,1,2,6,3,5]=>[5,3,6,2,1,7,4]=>[3,5,2,6,7,1,4]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[4,7,1,2,6,5,3]=>[3,5,6,2,1,7,4]=>[5,3,2,6,7,1,4]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[4,7,1,3,2,5,6]=>[6,5,2,3,1,7,4]=>[2,3,6,5,7,1,4]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[4,7,1,3,2,6,5]=>[5,6,2,3,1,7,4]=>[3,2,6,5,7,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[4,7,1,3,5,2,6]=>[6,2,5,3,1,7,4]=>[2,6,3,5,7,1,4]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[4,7,1,3,5,6,2]=>[2,6,5,3,1,7,4]=>[6,2,3,5,7,1,4]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[4,7,1,3,6,2,5]=>[5,2,6,3,1,7,4]=>[3,6,2,5,7,1,4]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[4,7,1,3,6,5,2]=>[2,5,6,3,1,7,4]=>[6,3,2,5,7,1,4]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[4,7,1,5,2,3,6]=>[6,3,2,5,1,7,4]=>[2,5,6,3,7,1,4]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[4,7,1,5,2,6,3]=>[3,6,2,5,1,7,4]=>[5,2,6,3,7,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[4,7,1,5,3,2,6]=>[6,2,3,5,1,7,4]=>[2,6,5,3,7,1,4]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[4,7,1,5,3,6,2]=>[2,6,3,5,1,7,4]=>[6,2,5,3,7,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[4,7,1,5,6,2,3]=>[3,2,6,5,1,7,4]=>[5,6,2,3,7,1,4]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[4,7,1,5,6,3,2]=>[2,3,6,5,1,7,4]=>[6,5,2,3,7,1,4]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[4,7,1,6,2,3,5]=>[5,3,2,6,1,7,4]=>[3,5,6,2,7,1,4]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,7,1,6,2,5,3]=>[3,5,2,6,1,7,4]=>[5,3,6,2,7,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,7,1,6,3,2,5]=>[5,2,3,6,1,7,4]=>[3,6,5,2,7,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,7,1,6,3,5,2]=>[2,5,3,6,1,7,4]=>[6,3,5,2,7,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,7,1,6,5,2,3]=>[3,2,5,6,1,7,4]=>[5,6,3,2,7,1,4]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,7,1,6,5,3,2]=>[2,3,5,6,1,7,4]=>[6,5,3,2,7,1,4]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,7,2,1,3,5,6]=>[6,5,3,1,2,7,4]=>[2,3,5,7,6,1,4]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[4,7,2,1,3,6,5]=>[5,6,3,1,2,7,4]=>[3,2,5,7,6,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[4,7,2,1,5,3,6]=>[6,3,5,1,2,7,4]=>[2,5,3,7,6,1,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[4,7,2,1,5,6,3]=>[3,6,5,1,2,7,4]=>[5,2,3,7,6,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[4,7,2,1,6,3,5]=>[5,3,6,1,2,7,4]=>[3,5,2,7,6,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,7,2,1,6,5,3]=>[3,5,6,1,2,7,4]=>[5,3,2,7,6,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,7,2,3,1,5,6]=>[6,5,1,3,2,7,4]=>[2,3,7,5,6,1,4]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[4,7,2,3,1,6,5]=>[5,6,1,3,2,7,4]=>[3,2,7,5,6,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[4,7,2,3,5,1,6]=>[6,1,5,3,2,7,4]=>[2,7,3,5,6,1,4]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[4,7,2,3,5,6,1]=>[1,6,5,3,2,7,4]=>[7,2,3,5,6,1,4]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[4,7,2,3,6,1,5]=>[5,1,6,3,2,7,4]=>[3,7,2,5,6,1,4]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[4,7,2,3,6,5,1]=>[1,5,6,3,2,7,4]=>[7,3,2,5,6,1,4]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[4,7,2,5,1,3,6]=>[6,3,1,5,2,7,4]=>[2,5,7,3,6,1,4]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[4,7,2,5,1,6,3]=>[3,6,1,5,2,7,4]=>[5,2,7,3,6,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[4,7,2,5,3,1,6]=>[6,1,3,5,2,7,4]=>[2,7,5,3,6,1,4]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[4,7,2,5,3,6,1]=>[1,6,3,5,2,7,4]=>[7,2,5,3,6,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[4,7,2,5,6,1,3]=>[3,1,6,5,2,7,4]=>[5,7,2,3,6,1,4]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4]=>[7,5,2,3,6,1,4]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[4,7,2,6,1,3,5]=>[5,3,1,6,2,7,4]=>[3,5,7,2,6,1,4]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,7,2,6,1,5,3]=>[3,5,1,6,2,7,4]=>[5,3,7,2,6,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,7,2,6,3,1,5]=>[5,1,3,6,2,7,4]=>[3,7,5,2,6,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,7,2,6,3,5,1]=>[1,5,3,6,2,7,4]=>[7,3,5,2,6,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,7,2,6,5,1,3]=>[3,1,5,6,2,7,4]=>[5,7,3,2,6,1,4]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4]=>[7,5,3,2,6,1,4]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,7,3,1,2,5,6]=>[6,5,2,1,3,7,4]=>[2,3,6,7,5,1,4]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]
[4,7,3,1,2,6,5]=>[5,6,2,1,3,7,4]=>[3,2,6,7,5,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[4,7,3,1,5,2,6]=>[6,2,5,1,3,7,4]=>[2,6,3,7,5,1,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[4,7,3,1,5,6,2]=>[2,6,5,1,3,7,4]=>[6,2,3,7,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[4,7,3,1,6,2,5]=>[5,2,6,1,3,7,4]=>[3,6,2,7,5,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,7,3,2,1,5,6]=>[6,5,1,2,3,7,4]=>[2,3,7,6,5,1,4]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[4,7,3,2,1,6,5]=>[5,6,1,2,3,7,4]=>[3,2,7,6,5,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,7,3,2,5,1,6]=>[6,1,5,2,3,7,4]=>[2,7,3,6,5,1,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[4,7,3,2,5,6,1]=>[1,6,5,2,3,7,4]=>[7,2,3,6,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[4,7,3,2,6,1,5]=>[5,1,6,2,3,7,4]=>[3,7,2,6,5,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,7,3,2,6,5,1]=>[1,5,6,2,3,7,4]=>[7,3,2,6,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,7,3,5,1,2,6]=>[6,2,1,5,3,7,4]=>[2,6,7,3,5,1,4]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[4,7,3,5,1,6,2]=>[2,6,1,5,3,7,4]=>[6,2,7,3,5,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[4,7,3,5,2,1,6]=>[6,1,2,5,3,7,4]=>[2,7,6,3,5,1,4]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[4,7,3,5,2,6,1]=>[1,6,2,5,3,7,4]=>[7,2,6,3,5,1,4]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[4,7,3,5,6,1,2]=>[2,1,6,5,3,7,4]=>[6,7,2,3,5,1,4]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[4,7,3,5,6,2,1]=>[1,2,6,5,3,7,4]=>[7,6,2,3,5,1,4]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[4,7,3,6,1,2,5]=>[5,2,1,6,3,7,4]=>[3,6,7,2,5,1,4]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,7,3,6,1,5,2]=>[2,5,1,6,3,7,4]=>[6,3,7,2,5,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,7,3,6,2,1,5]=>[5,1,2,6,3,7,4]=>[3,7,6,2,5,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4]=>[7,3,6,2,5,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,7,3,6,5,1,2]=>[2,1,5,6,3,7,4]=>[6,7,3,2,5,1,4]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,7,3,6,5,2,1]=>[1,2,5,6,3,7,4]=>[7,6,3,2,5,1,4]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,7,5,1,2,3,6]=>[6,3,2,1,5,7,4]=>[2,5,6,7,3,1,4]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[4,7,5,1,2,6,3]=>[3,6,2,1,5,7,4]=>[5,2,6,7,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[4,7,5,1,3,2,6]=>[6,2,3,1,5,7,4]=>[2,6,5,7,3,1,4]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[4,7,5,1,3,6,2]=>[2,6,3,1,5,7,4]=>[6,2,5,7,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[4,7,5,1,6,2,3]=>[3,2,6,1,5,7,4]=>[5,6,2,7,3,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,7,5,1,6,3,2]=>[2,3,6,1,5,7,4]=>[6,5,2,7,3,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,7,5,2,1,3,6]=>[6,3,1,2,5,7,4]=>[2,5,7,6,3,1,4]=>[[.,[[.,[[.,.],.]],.]],[.,.]]
[4,7,5,2,1,6,3]=>[3,6,1,2,5,7,4]=>[5,2,7,6,3,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,7,5,2,3,1,6]=>[6,1,3,2,5,7,4]=>[2,7,5,6,3,1,4]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[4,7,5,2,3,6,1]=>[1,6,3,2,5,7,4]=>[7,2,5,6,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[4,7,5,2,6,1,3]=>[3,1,6,2,5,7,4]=>[5,7,2,6,3,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,7,5,2,6,3,1]=>[1,3,6,2,5,7,4]=>[7,5,2,6,3,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,7,5,3,1,2,6]=>[6,2,1,3,5,7,4]=>[2,6,7,5,3,1,4]=>[[.,[[[.,[.,.]],.],.]],[.,.]]
[4,7,5,3,1,6,2]=>[2,6,1,3,5,7,4]=>[6,2,7,5,3,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,7,5,3,2,1,6]=>[6,1,2,3,5,7,4]=>[2,7,6,5,3,1,4]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[4,7,5,3,2,6,1]=>[1,6,2,3,5,7,4]=>[7,2,6,5,3,1,4]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[4,7,5,3,6,1,2]=>[2,1,6,3,5,7,4]=>[6,7,2,5,3,1,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,7,5,3,6,2,1]=>[1,2,6,3,5,7,4]=>[7,6,2,5,3,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,7,5,6,1,2,3]=>[3,2,1,6,5,7,4]=>[5,6,7,2,3,1,4]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[4,7,5,6,1,3,2]=>[2,3,1,6,5,7,4]=>[6,5,7,2,3,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,7,5,6,2,1,3]=>[3,1,2,6,5,7,4]=>[5,7,6,2,3,1,4]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[4,7,5,6,2,3,1]=>[1,3,2,6,5,7,4]=>[7,5,6,2,3,1,4]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[4,7,5,6,3,1,2]=>[2,1,3,6,5,7,4]=>[6,7,5,2,3,1,4]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[4,7,5,6,3,2,1]=>[1,2,3,6,5,7,4]=>[7,6,5,2,3,1,4]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[4,7,6,1,2,3,5]=>[5,3,2,1,6,7,4]=>[3,5,6,7,2,1,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[4,7,6,1,2,5,3]=>[3,5,2,1,6,7,4]=>[5,3,6,7,2,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[4,7,6,1,3,2,5]=>[5,2,3,1,6,7,4]=>[3,6,5,7,2,1,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[4,7,6,1,3,5,2]=>[2,5,3,1,6,7,4]=>[6,3,5,7,2,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[4,7,6,1,5,2,3]=>[3,2,5,1,6,7,4]=>[5,6,3,7,2,1,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[4,7,6,2,1,3,5]=>[5,3,1,2,6,7,4]=>[3,5,7,6,2,1,4]=>[[[.,[.,[[.,.],.]]],.],[.,.]]
[4,7,6,2,1,5,3]=>[3,5,1,2,6,7,4]=>[5,3,7,6,2,1,4]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[4,7,6,2,3,1,5]=>[5,1,3,2,6,7,4]=>[3,7,5,6,2,1,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[4,7,6,2,3,5,1]=>[1,5,3,2,6,7,4]=>[7,3,5,6,2,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[4,7,6,2,5,1,3]=>[3,1,5,2,6,7,4]=>[5,7,3,6,2,1,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[4,7,6,2,5,3,1]=>[1,3,5,2,6,7,4]=>[7,5,3,6,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[4,7,6,3,1,2,5]=>[5,2,1,3,6,7,4]=>[3,6,7,5,2,1,4]=>[[[.,[[.,[.,.]],.]],.],[.,.]]
[4,7,6,3,1,5,2]=>[2,5,1,3,6,7,4]=>[6,3,7,5,2,1,4]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[4,7,6,3,2,1,5]=>[5,1,2,3,6,7,4]=>[3,7,6,5,2,1,4]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[4,7,6,3,2,5,1]=>[1,5,2,3,6,7,4]=>[7,3,6,5,2,1,4]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[4,7,6,3,5,1,2]=>[2,1,5,3,6,7,4]=>[6,7,3,5,2,1,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[4,7,6,3,5,2,1]=>[1,2,5,3,6,7,4]=>[7,6,3,5,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[4,7,6,5,1,2,3]=>[3,2,1,5,6,7,4]=>[5,6,7,3,2,1,4]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[4,7,6,5,1,3,2]=>[2,3,1,5,6,7,4]=>[6,5,7,3,2,1,4]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[4,7,6,5,2,1,3]=>[3,1,2,5,6,7,4]=>[5,7,6,3,2,1,4]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[4,7,6,5,2,3,1]=>[1,3,2,5,6,7,4]=>[7,5,6,3,2,1,4]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[4,7,6,5,3,1,2]=>[2,1,3,5,6,7,4]=>[6,7,5,3,2,1,4]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[4,7,6,5,3,2,1]=>[1,2,3,5,6,7,4]=>[7,6,5,3,2,1,4]=>[[[[[[.,.],.],.],.],.],[.,.]]
[5,1,2,3,4,6,7]=>[7,6,4,3,2,1,5]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[5,1,2,3,4,7,6]=>[6,7,4,3,2,1,5]=>[2,1,4,5,6,7,3]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[5,1,2,3,6,4,7]=>[7,4,6,3,2,1,5]=>[1,4,2,5,6,7,3]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[5,1,2,3,6,7,4]=>[4,7,6,3,2,1,5]=>[4,1,2,5,6,7,3]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[5,1,2,3,7,4,6]=>[6,4,7,3,2,1,5]=>[2,4,1,5,6,7,3]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[5,1,2,3,7,6,4]=>[4,6,7,3,2,1,5]=>[4,2,1,5,6,7,3]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[5,1,2,4,3,6,7]=>[7,6,3,4,2,1,5]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[5,1,2,4,3,7,6]=>[6,7,3,4,2,1,5]=>[2,1,5,4,6,7,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[5,1,2,4,6,3,7]=>[7,3,6,4,2,1,5]=>[1,5,2,4,6,7,3]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[5,1,2,4,6,7,3]=>[3,7,6,4,2,1,5]=>[5,1,2,4,6,7,3]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[5,1,2,4,7,3,6]=>[6,3,7,4,2,1,5]=>[2,5,1,4,6,7,3]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[5,1,2,4,7,6,3]=>[3,6,7,4,2,1,5]=>[5,2,1,4,6,7,3]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[5,1,2,6,3,4,7]=>[7,4,3,6,2,1,5]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,1,2,6,3,7,4]=>[4,7,3,6,2,1,5]=>[4,1,5,2,6,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[5,1,2,6,4,3,7]=>[7,3,4,6,2,1,5]=>[1,5,4,2,6,7,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[5,1,2,6,4,7,3]=>[3,7,4,6,2,1,5]=>[5,1,4,2,6,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[5,1,2,6,7,3,4]=>[4,3,7,6,2,1,5]=>[4,5,1,2,6,7,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,1,2,6,7,4,3]=>[3,4,7,6,2,1,5]=>[5,4,1,2,6,7,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[5,1,2,7,3,4,6]=>[6,4,3,7,2,1,5]=>[2,4,5,1,6,7,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,1,2,7,3,6,4]=>[4,6,3,7,2,1,5]=>[4,2,5,1,6,7,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[5,1,2,7,4,3,6]=>[6,3,4,7,2,1,5]=>[2,5,4,1,6,7,3]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[5,1,2,7,4,6,3]=>[3,6,4,7,2,1,5]=>[5,2,4,1,6,7,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[5,1,2,7,6,3,4]=>[4,3,6,7,2,1,5]=>[4,5,2,1,6,7,3]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[5,1,2,7,6,4,3]=>[3,4,6,7,2,1,5]=>[5,4,2,1,6,7,3]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[5,1,3,2,4,6,7]=>[7,6,4,2,3,1,5]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[5,1,3,2,4,7,6]=>[6,7,4,2,3,1,5]=>[2,1,4,6,5,7,3]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[5,1,3,2,6,4,7]=>[7,4,6,2,3,1,5]=>[1,4,2,6,5,7,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[5,1,3,2,6,7,4]=>[4,7,6,2,3,1,5]=>[4,1,2,6,5,7,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[5,1,3,2,7,4,6]=>[6,4,7,2,3,1,5]=>[2,4,1,6,5,7,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[5,1,3,2,7,6,4]=>[4,6,7,2,3,1,5]=>[4,2,1,6,5,7,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[5,1,3,4,2,6,7]=>[7,6,2,4,3,1,5]=>[1,2,6,4,5,7,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[5,1,3,4,2,7,6]=>[6,7,2,4,3,1,5]=>[2,1,6,4,5,7,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[5,1,3,4,6,2,7]=>[7,2,6,4,3,1,5]=>[1,6,2,4,5,7,3]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[5,1,3,4,6,7,2]=>[2,7,6,4,3,1,5]=>[6,1,2,4,5,7,3]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[5,1,3,4,7,2,6]=>[6,2,7,4,3,1,5]=>[2,6,1,4,5,7,3]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[5,1,3,4,7,6,2]=>[2,6,7,4,3,1,5]=>[6,2,1,4,5,7,3]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[5,1,3,6,2,4,7]=>[7,4,2,6,3,1,5]=>[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,1,3,6,2,7,4]=>[4,7,2,6,3,1,5]=>[4,1,6,2,5,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[5,1,3,6,4,2,7]=>[7,2,4,6,3,1,5]=>[1,6,4,2,5,7,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[5,1,3,6,4,7,2]=>[2,7,4,6,3,1,5]=>[6,1,4,2,5,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[5,1,3,6,7,2,4]=>[4,2,7,6,3,1,5]=>[4,6,1,2,5,7,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,1,3,6,7,4,2]=>[2,4,7,6,3,1,5]=>[6,4,1,2,5,7,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[5,1,3,7,2,4,6]=>[6,4,2,7,3,1,5]=>[2,4,6,1,5,7,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,1,3,7,2,6,4]=>[4,6,2,7,3,1,5]=>[4,2,6,1,5,7,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[5,1,3,7,4,2,6]=>[6,2,4,7,3,1,5]=>[2,6,4,1,5,7,3]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[5,1,3,7,4,6,2]=>[2,6,4,7,3,1,5]=>[6,2,4,1,5,7,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[5,1,3,7,6,2,4]=>[4,2,6,7,3,1,5]=>[4,6,2,1,5,7,3]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[5,1,3,7,6,4,2]=>[2,4,6,7,3,1,5]=>[6,4,2,1,5,7,3]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[5,1,4,2,3,6,7]=>[7,6,3,2,4,1,5]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[5,1,4,2,3,7,6]=>[6,7,3,2,4,1,5]=>[2,1,5,6,4,7,3]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[5,1,4,2,6,3,7]=>[7,3,6,2,4,1,5]=>[1,5,2,6,4,7,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[5,1,4,2,6,7,3]=>[3,7,6,2,4,1,5]=>[5,1,2,6,4,7,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[5,1,4,2,7,3,6]=>[6,3,7,2,4,1,5]=>[2,5,1,6,4,7,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[5,1,4,2,7,6,3]=>[3,6,7,2,4,1,5]=>[5,2,1,6,4,7,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[5,1,4,3,2,6,7]=>[7,6,2,3,4,1,5]=>[1,2,6,5,4,7,3]=>[.,[.,[[[[.,.],.],[.,.]],.]]]
[5,1,4,3,2,7,6]=>[6,7,2,3,4,1,5]=>[2,1,6,5,4,7,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[5,1,4,3,6,2,7]=>[7,2,6,3,4,1,5]=>[1,6,2,5,4,7,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[5,1,4,3,6,7,2]=>[2,7,6,3,4,1,5]=>[6,1,2,5,4,7,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[5,1,4,3,7,2,6]=>[6,2,7,3,4,1,5]=>[2,6,1,5,4,7,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[5,1,4,3,7,6,2]=>[2,6,7,3,4,1,5]=>[6,2,1,5,4,7,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[5,1,4,6,2,3,7]=>[7,3,2,6,4,1,5]=>[1,5,6,2,4,7,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,1,4,6,2,7,3]=>[3,7,2,6,4,1,5]=>[5,1,6,2,4,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[5,1,4,6,3,2,7]=>[7,2,3,6,4,1,5]=>[1,6,5,2,4,7,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[5,1,4,6,3,7,2]=>[2,7,3,6,4,1,5]=>[6,1,5,2,4,7,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[5,1,4,6,7,2,3]=>[3,2,7,6,4,1,5]=>[5,6,1,2,4,7,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,1,4,6,7,3,2]=>[2,3,7,6,4,1,5]=>[6,5,1,2,4,7,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[5,1,4,7,2,3,6]=>[6,3,2,7,4,1,5]=>[2,5,6,1,4,7,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,1,4,7,2,6,3]=>[3,6,2,7,4,1,5]=>[5,2,6,1,4,7,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[5,1,4,7,3,2,6]=>[6,2,3,7,4,1,5]=>[2,6,5,1,4,7,3]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[5,1,4,7,3,6,2]=>[2,6,3,7,4,1,5]=>[6,2,5,1,4,7,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[5,1,4,7,6,2,3]=>[3,2,6,7,4,1,5]=>[5,6,2,1,4,7,3]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[5,1,4,7,6,3,2]=>[2,3,6,7,4,1,5]=>[6,5,2,1,4,7,3]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[5,1,6,2,3,4,7]=>[7,4,3,2,6,1,5]=>[1,4,5,6,2,7,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[5,1,6,2,3,7,4]=>[4,7,3,2,6,1,5]=>[4,1,5,6,2,7,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,1,6,2,4,3,7]=>[7,3,4,2,6,1,5]=>[1,5,4,6,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[5,1,6,2,4,7,3]=>[3,7,4,2,6,1,5]=>[5,1,4,6,2,7,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,1,6,2,7,3,4]=>[4,3,7,2,6,1,5]=>[4,5,1,6,2,7,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,1,6,2,7,4,3]=>[3,4,7,2,6,1,5]=>[5,4,1,6,2,7,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,1,6,3,2,4,7]=>[7,4,2,3,6,1,5]=>[1,4,6,5,2,7,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[5,1,6,3,2,7,4]=>[4,7,2,3,6,1,5]=>[4,1,6,5,2,7,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,1,6,3,4,2,7]=>[7,2,4,3,6,1,5]=>[1,6,4,5,2,7,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[5,1,6,3,4,7,2]=>[2,7,4,3,6,1,5]=>[6,1,4,5,2,7,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,1,6,3,7,2,4]=>[4,2,7,3,6,1,5]=>[4,6,1,5,2,7,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,1,6,3,7,4,2]=>[2,4,7,3,6,1,5]=>[6,4,1,5,2,7,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,1,6,4,2,3,7]=>[7,3,2,4,6,1,5]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[5,1,6,4,2,7,3]=>[3,7,2,4,6,1,5]=>[5,1,6,4,2,7,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,1,6,4,3,2,7]=>[7,2,3,4,6,1,5]=>[1,6,5,4,2,7,3]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[5,1,6,4,3,7,2]=>[2,7,3,4,6,1,5]=>[6,1,5,4,2,7,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,1,6,4,7,2,3]=>[3,2,7,4,6,1,5]=>[5,6,1,4,2,7,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,1,6,4,7,3,2]=>[2,3,7,4,6,1,5]=>[6,5,1,4,2,7,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,1,6,7,2,3,4]=>[4,3,2,7,6,1,5]=>[4,5,6,1,2,7,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[5,1,6,7,2,4,3]=>[3,4,2,7,6,1,5]=>[5,4,6,1,2,7,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[5,1,6,7,3,2,4]=>[4,2,3,7,6,1,5]=>[4,6,5,1,2,7,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[5,1,6,7,3,4,2]=>[2,4,3,7,6,1,5]=>[6,4,5,1,2,7,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[5,1,6,7,4,2,3]=>[3,2,4,7,6,1,5]=>[5,6,4,1,2,7,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[5,1,6,7,4,3,2]=>[2,3,4,7,6,1,5]=>[6,5,4,1,2,7,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[5,1,7,2,3,4,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,1,7,2,3,6,4]=>[4,6,3,2,7,1,5]=>[4,2,5,6,1,7,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[5,1,7,2,4,3,6]=>[6,3,4,2,7,1,5]=>[2,5,4,6,1,7,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,1,7,2,4,6,3]=>[3,6,4,2,7,1,5]=>[5,2,4,6,1,7,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[5,1,7,2,6,3,4]=>[4,3,6,2,7,1,5]=>[4,5,2,6,1,7,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,1,7,2,6,4,3]=>[3,4,6,2,7,1,5]=>[5,4,2,6,1,7,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,1,7,3,2,4,6]=>[6,4,2,3,7,1,5]=>[2,4,6,5,1,7,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[5,1,7,3,2,6,4]=>[4,6,2,3,7,1,5]=>[4,2,6,5,1,7,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,1,7,3,4,2,6]=>[6,2,4,3,7,1,5]=>[2,6,4,5,1,7,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,1,7,3,4,6,2]=>[2,6,4,3,7,1,5]=>[6,2,4,5,1,7,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[5,1,7,3,6,2,4]=>[4,2,6,3,7,1,5]=>[4,6,2,5,1,7,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,1,7,3,6,4,2]=>[2,4,6,3,7,1,5]=>[6,4,2,5,1,7,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,1,7,4,2,3,6]=>[6,3,2,4,7,1,5]=>[2,5,6,4,1,7,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[5,1,7,4,2,6,3]=>[3,6,2,4,7,1,5]=>[5,2,6,4,1,7,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,1,7,4,3,2,6]=>[6,2,3,4,7,1,5]=>[2,6,5,4,1,7,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,7,4,3,6,2]=>[2,6,3,4,7,1,5]=>[6,2,5,4,1,7,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,1,7,4,6,2,3]=>[3,2,6,4,7,1,5]=>[5,6,2,4,1,7,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,1,7,4,6,3,2]=>[2,3,6,4,7,1,5]=>[6,5,2,4,1,7,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,1,7,6,2,3,4]=>[4,3,2,6,7,1,5]=>[4,5,6,2,1,7,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[5,1,7,6,2,4,3]=>[3,4,2,6,7,1,5]=>[5,4,6,2,1,7,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,1,7,6,3,2,4]=>[4,2,3,6,7,1,5]=>[4,6,5,2,1,7,3]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,1,7,6,3,4,2]=>[2,4,3,6,7,1,5]=>[6,4,5,2,1,7,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,1,7,6,4,2,3]=>[3,2,4,6,7,1,5]=>[5,6,4,2,1,7,3]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,1,7,6,4,3,2]=>[2,3,4,6,7,1,5]=>[6,5,4,2,1,7,3]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,2,1,3,4,6,7]=>[7,6,4,3,1,2,5]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[5,2,1,3,4,7,6]=>[6,7,4,3,1,2,5]=>[2,1,4,5,7,6,3]=>[[.,.],[[.,[.,[[.,.],.]]],.]]
[5,2,1,3,6,4,7]=>[7,4,6,3,1,2,5]=>[1,4,2,5,7,6,3]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[5,2,1,3,6,7,4]=>[4,7,6,3,1,2,5]=>[4,1,2,5,7,6,3]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[5,2,1,3,7,4,6]=>[6,4,7,3,1,2,5]=>[2,4,1,5,7,6,3]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[5,2,1,3,7,6,4]=>[4,6,7,3,1,2,5]=>[4,2,1,5,7,6,3]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[5,2,1,4,3,6,7]=>[7,6,3,4,1,2,5]=>[1,2,5,4,7,6,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[5,2,1,4,3,7,6]=>[6,7,3,4,1,2,5]=>[2,1,5,4,7,6,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[5,2,1,4,6,3,7]=>[7,3,6,4,1,2,5]=>[1,5,2,4,7,6,3]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[5,2,1,4,6,7,3]=>[3,7,6,4,1,2,5]=>[5,1,2,4,7,6,3]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[5,2,1,4,7,3,6]=>[6,3,7,4,1,2,5]=>[2,5,1,4,7,6,3]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[5,2,1,4,7,6,3]=>[3,6,7,4,1,2,5]=>[5,2,1,4,7,6,3]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[5,2,1,6,3,4,7]=>[7,4,3,6,1,2,5]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,2,1,6,3,7,4]=>[4,7,3,6,1,2,5]=>[4,1,5,2,7,6,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,2,1,6,4,3,7]=>[7,3,4,6,1,2,5]=>[1,5,4,2,7,6,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[5,2,1,6,4,7,3]=>[3,7,4,6,1,2,5]=>[5,1,4,2,7,6,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,2,1,6,7,3,4]=>[4,3,7,6,1,2,5]=>[4,5,1,2,7,6,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[5,2,1,6,7,4,3]=>[3,4,7,6,1,2,5]=>[5,4,1,2,7,6,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[5,2,1,7,3,4,6]=>[6,4,3,7,1,2,5]=>[2,4,5,1,7,6,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[5,2,1,7,3,6,4]=>[4,6,3,7,1,2,5]=>[4,2,5,1,7,6,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,2,1,7,4,3,6]=>[6,3,4,7,1,2,5]=>[2,5,4,1,7,6,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,2,1,7,4,6,3]=>[3,6,4,7,1,2,5]=>[5,2,4,1,7,6,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,2,1,7,6,3,4]=>[4,3,6,7,1,2,5]=>[4,5,2,1,7,6,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,2,1,7,6,4,3]=>[3,4,6,7,1,2,5]=>[5,4,2,1,7,6,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,2,3,1,4,6,7]=>[7,6,4,1,3,2,5]=>[1,2,4,7,5,6,3]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[5,2,3,1,4,7,6]=>[6,7,4,1,3,2,5]=>[2,1,4,7,5,6,3]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[5,2,3,1,6,4,7]=>[7,4,6,1,3,2,5]=>[1,4,2,7,5,6,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[5,2,3,1,6,7,4]=>[4,7,6,1,3,2,5]=>[4,1,2,7,5,6,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[5,2,3,1,7,4,6]=>[6,4,7,1,3,2,5]=>[2,4,1,7,5,6,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[5,2,3,1,7,6,4]=>[4,6,7,1,3,2,5]=>[4,2,1,7,5,6,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[5,2,3,4,1,6,7]=>[7,6,1,4,3,2,5]=>[1,2,7,4,5,6,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[5,2,3,4,1,7,6]=>[6,7,1,4,3,2,5]=>[2,1,7,4,5,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[5,2,3,4,6,1,7]=>[7,1,6,4,3,2,5]=>[1,7,2,4,5,6,3]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[5,2,3,4,6,7,1]=>[1,7,6,4,3,2,5]=>[7,1,2,4,5,6,3]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[5,2,3,4,7,1,6]=>[6,1,7,4,3,2,5]=>[2,7,1,4,5,6,3]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[5,2,3,4,7,6,1]=>[1,6,7,4,3,2,5]=>[7,2,1,4,5,6,3]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[5,2,3,6,1,4,7]=>[7,4,1,6,3,2,5]=>[1,4,7,2,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,2,3,6,1,7,4]=>[4,7,1,6,3,2,5]=>[4,1,7,2,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[5,2,3,6,4,1,7]=>[7,1,4,6,3,2,5]=>[1,7,4,2,5,6,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[5,2,3,6,4,7,1]=>[1,7,4,6,3,2,5]=>[7,1,4,2,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[5,2,3,6,7,1,4]=>[4,1,7,6,3,2,5]=>[4,7,1,2,5,6,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,2,3,6,7,4,1]=>[1,4,7,6,3,2,5]=>[7,4,1,2,5,6,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[5,2,3,7,1,4,6]=>[6,4,1,7,3,2,5]=>[2,4,7,1,5,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,2,3,7,1,6,4]=>[4,6,1,7,3,2,5]=>[4,2,7,1,5,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[5,2,3,7,4,1,6]=>[6,1,4,7,3,2,5]=>[2,7,4,1,5,6,3]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[5,2,3,7,4,6,1]=>[1,6,4,7,3,2,5]=>[7,2,4,1,5,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[5,2,3,7,6,1,4]=>[4,1,6,7,3,2,5]=>[4,7,2,1,5,6,3]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[5,2,3,7,6,4,1]=>[1,4,6,7,3,2,5]=>[7,4,2,1,5,6,3]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[5,2,4,1,3,6,7]=>[7,6,3,1,4,2,5]=>[1,2,5,7,4,6,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[5,2,4,1,3,7,6]=>[6,7,3,1,4,2,5]=>[2,1,5,7,4,6,3]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[5,2,4,1,6,3,7]=>[7,3,6,1,4,2,5]=>[1,5,2,7,4,6,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[5,2,4,1,6,7,3]=>[3,7,6,1,4,2,5]=>[5,1,2,7,4,6,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[5,2,4,1,7,3,6]=>[6,3,7,1,4,2,5]=>[2,5,1,7,4,6,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[5,2,4,1,7,6,3]=>[3,6,7,1,4,2,5]=>[5,2,1,7,4,6,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[5,2,4,3,1,6,7]=>[7,6,1,3,4,2,5]=>[1,2,7,5,4,6,3]=>[.,[.,[[[[.,.],.],[.,.]],.]]]
[5,2,4,3,1,7,6]=>[6,7,1,3,4,2,5]=>[2,1,7,5,4,6,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[5,2,4,3,6,1,7]=>[7,1,6,3,4,2,5]=>[1,7,2,5,4,6,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[5,2,4,3,6,7,1]=>[1,7,6,3,4,2,5]=>[7,1,2,5,4,6,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[5,2,4,3,7,1,6]=>[6,1,7,3,4,2,5]=>[2,7,1,5,4,6,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[5,2,4,3,7,6,1]=>[1,6,7,3,4,2,5]=>[7,2,1,5,4,6,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[5,2,4,6,1,3,7]=>[7,3,1,6,4,2,5]=>[1,5,7,2,4,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,2,4,6,1,7,3]=>[3,7,1,6,4,2,5]=>[5,1,7,2,4,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[5,2,4,6,3,1,7]=>[7,1,3,6,4,2,5]=>[1,7,5,2,4,6,3]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[5,2,4,6,3,7,1]=>[1,7,3,6,4,2,5]=>[7,1,5,2,4,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[5,2,4,6,7,1,3]=>[3,1,7,6,4,2,5]=>[5,7,1,2,4,6,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,2,4,6,7,3,1]=>[1,3,7,6,4,2,5]=>[7,5,1,2,4,6,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[5,2,4,7,1,3,6]=>[6,3,1,7,4,2,5]=>[2,5,7,1,4,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,2,4,7,1,6,3]=>[3,6,1,7,4,2,5]=>[5,2,7,1,4,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[5,2,4,7,3,1,6]=>[6,1,3,7,4,2,5]=>[2,7,5,1,4,6,3]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[5,2,4,7,3,6,1]=>[1,6,3,7,4,2,5]=>[7,2,5,1,4,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[5,2,4,7,6,1,3]=>[3,1,6,7,4,2,5]=>[5,7,2,1,4,6,3]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[5,2,4,7,6,3,1]=>[1,3,6,7,4,2,5]=>[7,5,2,1,4,6,3]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[5,2,6,1,3,4,7]=>[7,4,3,1,6,2,5]=>[1,4,5,7,2,6,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[5,2,6,1,3,7,4]=>[4,7,3,1,6,2,5]=>[4,1,5,7,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,2,6,1,4,3,7]=>[7,3,4,1,6,2,5]=>[1,5,4,7,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[5,2,6,1,4,7,3]=>[3,7,4,1,6,2,5]=>[5,1,4,7,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,2,6,1,7,3,4]=>[4,3,7,1,6,2,5]=>[4,5,1,7,2,6,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,2,6,1,7,4,3]=>[3,4,7,1,6,2,5]=>[5,4,1,7,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,2,6,3,1,4,7]=>[7,4,1,3,6,2,5]=>[1,4,7,5,2,6,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[5,2,6,3,1,7,4]=>[4,7,1,3,6,2,5]=>[4,1,7,5,2,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,2,6,3,4,1,7]=>[7,1,4,3,6,2,5]=>[1,7,4,5,2,6,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[5,2,6,3,4,7,1]=>[1,7,4,3,6,2,5]=>[7,1,4,5,2,6,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,2,6,3,7,1,4]=>[4,1,7,3,6,2,5]=>[4,7,1,5,2,6,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,2,6,3,7,4,1]=>[1,4,7,3,6,2,5]=>[7,4,1,5,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,2,6,4,1,3,7]=>[7,3,1,4,6,2,5]=>[1,5,7,4,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[5,2,6,4,1,7,3]=>[3,7,1,4,6,2,5]=>[5,1,7,4,2,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,2,6,4,3,1,7]=>[7,1,3,4,6,2,5]=>[1,7,5,4,2,6,3]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[5,2,6,4,3,7,1]=>[1,7,3,4,6,2,5]=>[7,1,5,4,2,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,2,6,4,7,1,3]=>[3,1,7,4,6,2,5]=>[5,7,1,4,2,6,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,2,6,4,7,3,1]=>[1,3,7,4,6,2,5]=>[7,5,1,4,2,6,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,2,6,7,1,3,4]=>[4,3,1,7,6,2,5]=>[4,5,7,1,2,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[5,2,6,7,1,4,3]=>[3,4,1,7,6,2,5]=>[5,4,7,1,2,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[5,2,6,7,3,1,4]=>[4,1,3,7,6,2,5]=>[4,7,5,1,2,6,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[5,2,6,7,3,4,1]=>[1,4,3,7,6,2,5]=>[7,4,5,1,2,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[5,2,6,7,4,1,3]=>[3,1,4,7,6,2,5]=>[5,7,4,1,2,6,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[5,2,6,7,4,3,1]=>[1,3,4,7,6,2,5]=>[7,5,4,1,2,6,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[5,2,7,1,3,4,6]=>[6,4,3,1,7,2,5]=>[2,4,5,7,1,6,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,2,7,1,3,6,4]=>[4,6,3,1,7,2,5]=>[4,2,5,7,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[5,2,7,1,4,3,6]=>[6,3,4,1,7,2,5]=>[2,5,4,7,1,6,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,2,7,1,4,6,3]=>[3,6,4,1,7,2,5]=>[5,2,4,7,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[5,2,7,1,6,3,4]=>[4,3,6,1,7,2,5]=>[4,5,2,7,1,6,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,2,7,1,6,4,3]=>[3,4,6,1,7,2,5]=>[5,4,2,7,1,6,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,2,7,3,1,4,6]=>[6,4,1,3,7,2,5]=>[2,4,7,5,1,6,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[5,2,7,3,1,6,4]=>[4,6,1,3,7,2,5]=>[4,2,7,5,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,7,3,4,1,6]=>[6,1,4,3,7,2,5]=>[2,7,4,5,1,6,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,2,7,3,4,6,1]=>[1,6,4,3,7,2,5]=>[7,2,4,5,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[5,2,7,3,6,1,4]=>[4,1,6,3,7,2,5]=>[4,7,2,5,1,6,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,2,7,3,6,4,1]=>[1,4,6,3,7,2,5]=>[7,4,2,5,1,6,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,2,7,4,1,3,6]=>[6,3,1,4,7,2,5]=>[2,5,7,4,1,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[5,2,7,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,7,4,3,1,6]=>[6,1,3,4,7,2,5]=>[2,7,5,4,1,6,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,2,7,4,3,6,1]=>[1,6,3,4,7,2,5]=>[7,2,5,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,2,7,4,6,1,3]=>[3,1,6,4,7,2,5]=>[5,7,2,4,1,6,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,2,7,4,6,3,1]=>[1,3,6,4,7,2,5]=>[7,5,2,4,1,6,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,2,7,6,1,3,4]=>[4,3,1,6,7,2,5]=>[4,5,7,2,1,6,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,2,7,6,3,1,4]=>[4,1,3,6,7,2,5]=>[4,7,5,2,1,6,3]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,2,7,6,3,4,1]=>[1,4,3,6,7,2,5]=>[7,4,5,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,2,7,6,4,1,3]=>[3,1,4,6,7,2,5]=>[5,7,4,2,1,6,3]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,2,7,6,4,3,1]=>[1,3,4,6,7,2,5]=>[7,5,4,2,1,6,3]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,3,1,2,4,6,7]=>[7,6,4,2,1,3,5]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[5,3,1,2,4,7,6]=>[6,7,4,2,1,3,5]=>[2,1,4,6,7,5,3]=>[[.,.],[[.,[[.,[.,.]],.]],.]]
[5,3,1,2,6,4,7]=>[7,4,6,2,1,3,5]=>[1,4,2,6,7,5,3]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[5,3,1,2,6,7,4]=>[4,7,6,2,1,3,5]=>[4,1,2,6,7,5,3]=>[[.,.],[.,[[[.,[.,.]],.],.]]]
[5,3,1,2,7,4,6]=>[6,4,7,2,1,3,5]=>[2,4,1,6,7,5,3]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[5,3,1,2,7,6,4]=>[4,6,7,2,1,3,5]=>[4,2,1,6,7,5,3]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[5,3,1,4,2,6,7]=>[7,6,2,4,1,3,5]=>[1,2,6,4,7,5,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[5,3,1,4,2,7,6]=>[6,7,2,4,1,3,5]=>[2,1,6,4,7,5,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[5,3,1,4,6,2,7]=>[7,2,6,4,1,3,5]=>[1,6,2,4,7,5,3]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[5,3,1,4,6,7,2]=>[2,7,6,4,1,3,5]=>[6,1,2,4,7,5,3]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[5,3,1,4,7,2,6]=>[6,2,7,4,1,3,5]=>[2,6,1,4,7,5,3]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[5,3,1,4,7,6,2]=>[2,6,7,4,1,3,5]=>[6,2,1,4,7,5,3]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[5,3,1,6,2,4,7]=>[7,4,2,6,1,3,5]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,3,1,6,2,7,4]=>[4,7,2,6,1,3,5]=>[4,1,6,2,7,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,3,1,6,4,2,7]=>[7,2,4,6,1,3,5]=>[1,6,4,2,7,5,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[5,3,1,6,4,7,2]=>[2,7,4,6,1,3,5]=>[6,1,4,2,7,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,3,1,6,7,2,4]=>[4,2,7,6,1,3,5]=>[4,6,1,2,7,5,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[5,3,1,6,7,4,2]=>[2,4,7,6,1,3,5]=>[6,4,1,2,7,5,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[5,3,1,7,2,4,6]=>[6,4,2,7,1,3,5]=>[2,4,6,1,7,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[5,3,1,7,2,6,4]=>[4,6,2,7,1,3,5]=>[4,2,6,1,7,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,3,1,7,4,2,6]=>[6,2,4,7,1,3,5]=>[2,6,4,1,7,5,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,3,1,7,4,6,2]=>[2,6,4,7,1,3,5]=>[6,2,4,1,7,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,3,1,7,6,2,4]=>[4,2,6,7,1,3,5]=>[4,6,2,1,7,5,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,3,1,7,6,4,2]=>[2,4,6,7,1,3,5]=>[6,4,2,1,7,5,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[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]=>[2,1,4,7,6,5,3]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[5,3,2,1,6,4,7]=>[7,4,6,1,2,3,5]=>[1,4,2,7,6,5,3]=>[.,[[.,.],[[[[.,.],.],.],.]]]
[5,3,2,1,6,7,4]=>[4,7,6,1,2,3,5]=>[4,1,2,7,6,5,3]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[5,3,2,1,7,4,6]=>[6,4,7,1,2,3,5]=>[2,4,1,7,6,5,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,3,2,1,7,6,4]=>[4,6,7,1,2,3,5]=>[4,2,1,7,6,5,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[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]=>[2,1,7,4,6,5,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[5,3,2,4,6,1,7]=>[7,1,6,4,2,3,5]=>[1,7,2,4,6,5,3]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[5,3,2,4,6,7,1]=>[1,7,6,4,2,3,5]=>[7,1,2,4,6,5,3]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[5,3,2,4,7,1,6]=>[6,1,7,4,2,3,5]=>[2,7,1,4,6,5,3]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[5,3,2,4,7,6,1]=>[1,6,7,4,2,3,5]=>[7,2,1,4,6,5,3]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[5,3,2,6,1,4,7]=>[7,4,1,6,2,3,5]=>[1,4,7,2,6,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,3,2,6,1,7,4]=>[4,7,1,6,2,3,5]=>[4,1,7,2,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,3,2,6,4,1,7]=>[7,1,4,6,2,3,5]=>[1,7,4,2,6,5,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[5,3,2,6,4,7,1]=>[1,7,4,6,2,3,5]=>[7,1,4,2,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,3,2,6,7,1,4]=>[4,1,7,6,2,3,5]=>[4,7,1,2,6,5,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[5,3,2,6,7,4,1]=>[1,4,7,6,2,3,5]=>[7,4,1,2,6,5,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[5,3,2,7,1,4,6]=>[6,4,1,7,2,3,5]=>[2,4,7,1,6,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,3,2,7,4,1,6]=>[6,1,4,7,2,3,5]=>[2,7,4,1,6,5,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,3,2,7,4,6,1]=>[1,6,4,7,2,3,5]=>[7,2,4,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,3,2,7,6,1,4]=>[4,1,6,7,2,3,5]=>[4,7,2,1,6,5,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,3,2,7,6,4,1]=>[1,4,6,7,2,3,5]=>[7,4,2,1,6,5,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,3,4,1,2,6,7]=>[7,6,2,1,4,3,5]=>[1,2,6,7,4,5,3]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[5,3,4,1,2,7,6]=>[6,7,2,1,4,3,5]=>[2,1,6,7,4,5,3]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[5,3,4,1,6,2,7]=>[7,2,6,1,4,3,5]=>[1,6,2,7,4,5,3]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[5,3,4,1,6,7,2]=>[2,7,6,1,4,3,5]=>[6,1,2,7,4,5,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[5,3,4,1,7,2,6]=>[6,2,7,1,4,3,5]=>[2,6,1,7,4,5,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[5,3,4,1,7,6,2]=>[2,6,7,1,4,3,5]=>[6,2,1,7,4,5,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[5,3,4,2,1,6,7]=>[7,6,1,2,4,3,5]=>[1,2,7,6,4,5,3]=>[.,[.,[[[[.,.],.],[.,.]],.]]]
[5,3,4,2,1,7,6]=>[6,7,1,2,4,3,5]=>[2,1,7,6,4,5,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[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]=>[7,1,2,6,4,5,3]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[5,3,4,2,7,1,6]=>[6,1,7,2,4,3,5]=>[2,7,1,6,4,5,3]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[5,3,4,2,7,6,1]=>[1,6,7,2,4,3,5]=>[7,2,1,6,4,5,3]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[5,3,4,6,1,2,7]=>[7,2,1,6,4,3,5]=>[1,6,7,2,4,5,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[5,3,4,6,1,7,2]=>[2,7,1,6,4,3,5]=>[6,1,7,2,4,5,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[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]=>[7,1,6,2,4,5,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[5,3,4,6,7,1,2]=>[2,1,7,6,4,3,5]=>[6,7,1,2,4,5,3]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,3,4,6,7,2,1]=>[1,2,7,6,4,3,5]=>[7,6,1,2,4,5,3]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[5,3,4,7,1,2,6]=>[6,2,1,7,4,3,5]=>[2,6,7,1,4,5,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,3,4,7,1,6,2]=>[2,6,1,7,4,3,5]=>[6,2,7,1,4,5,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[5,3,4,7,2,1,6]=>[6,1,2,7,4,3,5]=>[2,7,6,1,4,5,3]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[5,3,4,7,2,6,1]=>[1,6,2,7,4,3,5]=>[7,2,6,1,4,5,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[5,3,4,7,6,1,2]=>[2,1,6,7,4,3,5]=>[6,7,2,1,4,5,3]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[5,3,4,7,6,2,1]=>[1,2,6,7,4,3,5]=>[7,6,2,1,4,5,3]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[5,3,6,1,2,4,7]=>[7,4,2,1,6,3,5]=>[1,4,6,7,2,5,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[5,3,6,1,2,7,4]=>[4,7,2,1,6,3,5]=>[4,1,6,7,2,5,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,3,6,1,4,2,7]=>[7,2,4,1,6,3,5]=>[1,6,4,7,2,5,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[5,3,6,1,4,7,2]=>[2,7,4,1,6,3,5]=>[6,1,4,7,2,5,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,3,6,1,7,2,4]=>[4,2,7,1,6,3,5]=>[4,6,1,7,2,5,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,3,6,1,7,4,2]=>[2,4,7,1,6,3,5]=>[6,4,1,7,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,3,6,2,1,4,7]=>[7,4,1,2,6,3,5]=>[1,4,7,6,2,5,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[5,3,6,2,1,7,4]=>[4,7,1,2,6,3,5]=>[4,1,7,6,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,3,6,2,4,1,7]=>[7,1,4,2,6,3,5]=>[1,7,4,6,2,5,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5]=>[7,1,4,6,2,5,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,3,6,2,7,1,4]=>[4,1,7,2,6,3,5]=>[4,7,1,6,2,5,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,3,6,2,7,4,1]=>[1,4,7,2,6,3,5]=>[7,4,1,6,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,3,6,4,1,2,7]=>[7,2,1,4,6,3,5]=>[1,6,7,4,2,5,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[5,3,6,4,1,7,2]=>[2,7,1,4,6,3,5]=>[6,1,7,4,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,3,6,4,2,1,7]=>[7,1,2,4,6,3,5]=>[1,7,6,4,2,5,3]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[5,3,6,4,2,7,1]=>[1,7,2,4,6,3,5]=>[7,1,6,4,2,5,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,3,6,4,7,1,2]=>[2,1,7,4,6,3,5]=>[6,7,1,4,2,5,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,3,6,4,7,2,1]=>[1,2,7,4,6,3,5]=>[7,6,1,4,2,5,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,3,6,7,1,2,4]=>[4,2,1,7,6,3,5]=>[4,6,7,1,2,5,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[5,3,6,7,1,4,2]=>[2,4,1,7,6,3,5]=>[6,4,7,1,2,5,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[5,3,6,7,2,1,4]=>[4,1,2,7,6,3,5]=>[4,7,6,1,2,5,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[5,3,6,7,2,4,1]=>[1,4,2,7,6,3,5]=>[7,4,6,1,2,5,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[5,3,6,7,4,1,2]=>[2,1,4,7,6,3,5]=>[6,7,4,1,2,5,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[5,3,6,7,4,2,1]=>[1,2,4,7,6,3,5]=>[7,6,4,1,2,5,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[5,3,7,1,2,4,6]=>[6,4,2,1,7,3,5]=>[2,4,6,7,1,5,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,3,7,1,2,6,4]=>[4,6,2,1,7,3,5]=>[4,2,6,7,1,5,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[5,3,7,1,4,2,6]=>[6,2,4,1,7,3,5]=>[2,6,4,7,1,5,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,3,7,1,4,6,2]=>[2,6,4,1,7,3,5]=>[6,2,4,7,1,5,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[5,3,7,1,6,2,4]=>[4,2,6,1,7,3,5]=>[4,6,2,7,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,7,1,6,4,2]=>[2,4,6,1,7,3,5]=>[6,4,2,7,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,7,2,1,4,6]=>[6,4,1,2,7,3,5]=>[2,4,7,6,1,5,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[5,3,7,2,1,6,4]=>[4,6,1,2,7,3,5]=>[4,2,7,6,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,3,7,2,4,1,6]=>[6,1,4,2,7,3,5]=>[2,7,4,6,1,5,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,3,7,2,4,6,1]=>[1,6,4,2,7,3,5]=>[7,2,4,6,1,5,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[5,3,7,2,6,1,4]=>[4,1,6,2,7,3,5]=>[4,7,2,6,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5]=>[7,4,2,6,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,7,4,1,2,6]=>[6,2,1,4,7,3,5]=>[2,6,7,4,1,5,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[5,3,7,4,1,6,2]=>[2,6,1,4,7,3,5]=>[6,2,7,4,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,3,7,4,2,1,6]=>[6,1,2,4,7,3,5]=>[2,7,6,4,1,5,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,3,7,4,2,6,1]=>[1,6,2,4,7,3,5]=>[7,2,6,4,1,5,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,3,7,4,6,1,2]=>[2,1,6,4,7,3,5]=>[6,7,2,4,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,3,7,4,6,2,1]=>[1,2,6,4,7,3,5]=>[7,6,2,4,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,3,7,6,1,2,4]=>[4,2,1,6,7,3,5]=>[4,6,7,2,1,5,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[5,3,7,6,1,4,2]=>[2,4,1,6,7,3,5]=>[6,4,7,2,1,5,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,3,7,6,2,1,4]=>[4,1,2,6,7,3,5]=>[4,7,6,2,1,5,3]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,3,7,6,2,4,1]=>[1,4,2,6,7,3,5]=>[7,4,6,2,1,5,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,3,7,6,4,1,2]=>[2,1,4,6,7,3,5]=>[6,7,4,2,1,5,3]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,3,7,6,4,2,1]=>[1,2,4,6,7,3,5]=>[7,6,4,2,1,5,3]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,4,1,2,3,6,7]=>[7,6,3,2,1,4,5]=>[1,2,5,6,7,4,3]=>[.,[.,[[[.,[.,[.,.]]],.],.]]]
[5,4,1,2,3,7,6]=>[6,7,3,2,1,4,5]=>[2,1,5,6,7,4,3]=>[[.,.],[[[.,[.,[.,.]]],.],.]]
[5,4,1,2,6,3,7]=>[7,3,6,2,1,4,5]=>[1,5,2,6,7,4,3]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[5,4,1,2,6,7,3]=>[3,7,6,2,1,4,5]=>[5,1,2,6,7,4,3]=>[[.,.],[.,[[[.,[.,.]],.],.]]]
[5,4,1,2,7,3,6]=>[6,3,7,2,1,4,5]=>[2,5,1,6,7,4,3]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[5,4,1,2,7,6,3]=>[3,6,7,2,1,4,5]=>[5,2,1,6,7,4,3]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[5,4,1,3,2,6,7]=>[7,6,2,3,1,4,5]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[5,4,1,3,2,7,6]=>[6,7,2,3,1,4,5]=>[2,1,6,5,7,4,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[5,4,1,3,6,2,7]=>[7,2,6,3,1,4,5]=>[1,6,2,5,7,4,3]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[5,4,1,3,6,7,2]=>[2,7,6,3,1,4,5]=>[6,1,2,5,7,4,3]=>[[.,.],[.,[[[.,[.,.]],.],.]]]
[5,4,1,3,7,2,6]=>[6,2,7,3,1,4,5]=>[2,6,1,5,7,4,3]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[5,4,1,3,7,6,2]=>[2,6,7,3,1,4,5]=>[6,2,1,5,7,4,3]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[5,4,1,6,2,3,7]=>[7,3,2,6,1,4,5]=>[1,5,6,2,7,4,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,4,1,6,2,7,3]=>[3,7,2,6,1,4,5]=>[5,1,6,2,7,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,4,1,6,3,2,7]=>[7,2,3,6,1,4,5]=>[1,6,5,2,7,4,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[5,4,1,6,3,7,2]=>[2,7,3,6,1,4,5]=>[6,1,5,2,7,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,4,1,6,7,2,3]=>[3,2,7,6,1,4,5]=>[5,6,1,2,7,4,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[5,4,1,6,7,3,2]=>[2,3,7,6,1,4,5]=>[6,5,1,2,7,4,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[5,4,1,7,2,3,6]=>[6,3,2,7,1,4,5]=>[2,5,6,1,7,4,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[5,4,1,7,2,6,3]=>[3,6,2,7,1,4,5]=>[5,2,6,1,7,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,4,1,7,3,2,6]=>[6,2,3,7,1,4,5]=>[2,6,5,1,7,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,4,1,7,3,6,2]=>[2,6,3,7,1,4,5]=>[6,2,5,1,7,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,4,1,7,6,2,3]=>[3,2,6,7,1,4,5]=>[5,6,2,1,7,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,4,1,7,6,3,2]=>[2,3,6,7,1,4,5]=>[6,5,2,1,7,4,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,4,2,1,3,6,7]=>[7,6,3,1,2,4,5]=>[1,2,5,7,6,4,3]=>[.,[.,[[[.,[[.,.],.]],.],.]]]
[5,4,2,1,3,7,6]=>[6,7,3,1,2,4,5]=>[2,1,5,7,6,4,3]=>[[.,.],[[[.,[[.,.],.]],.],.]]
[5,4,2,1,6,3,7]=>[7,3,6,1,2,4,5]=>[1,5,2,7,6,4,3]=>[.,[[.,.],[[[[.,.],.],.],.]]]
[5,4,2,1,6,7,3]=>[3,7,6,1,2,4,5]=>[5,1,2,7,6,4,3]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[5,4,2,1,7,3,6]=>[6,3,7,1,2,4,5]=>[2,5,1,7,6,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,4,2,1,7,6,3]=>[3,6,7,1,2,4,5]=>[5,2,1,7,6,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,4,2,3,1,6,7]=>[7,6,1,3,2,4,5]=>[1,2,7,5,6,4,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[5,4,2,3,1,7,6]=>[6,7,1,3,2,4,5]=>[2,1,7,5,6,4,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[5,4,2,3,6,1,7]=>[7,1,6,3,2,4,5]=>[1,7,2,5,6,4,3]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[5,4,2,3,6,7,1]=>[1,7,6,3,2,4,5]=>[7,1,2,5,6,4,3]=>[[.,.],[.,[[[.,[.,.]],.],.]]]
[5,4,2,3,7,1,6]=>[6,1,7,3,2,4,5]=>[2,7,1,5,6,4,3]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[5,4,2,3,7,6,1]=>[1,6,7,3,2,4,5]=>[7,2,1,5,6,4,3]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[5,4,2,6,1,3,7]=>[7,3,1,6,2,4,5]=>[1,5,7,2,6,4,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,4,2,6,1,7,3]=>[3,7,1,6,2,4,5]=>[5,1,7,2,6,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,4,2,6,3,1,7]=>[7,1,3,6,2,4,5]=>[1,7,5,2,6,4,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[5,4,2,6,3,7,1]=>[1,7,3,6,2,4,5]=>[7,1,5,2,6,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,4,2,6,7,1,3]=>[3,1,7,6,2,4,5]=>[5,7,1,2,6,4,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[5,4,2,6,7,3,1]=>[1,3,7,6,2,4,5]=>[7,5,1,2,6,4,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[5,4,2,7,1,3,6]=>[6,3,1,7,2,4,5]=>[2,5,7,1,6,4,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[5,4,2,7,1,6,3]=>[3,6,1,7,2,4,5]=>[5,2,7,1,6,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,4,2,7,3,1,6]=>[6,1,3,7,2,4,5]=>[2,7,5,1,6,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,4,2,7,3,6,1]=>[1,6,3,7,2,4,5]=>[7,2,5,1,6,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,4,2,7,6,1,3]=>[3,1,6,7,2,4,5]=>[5,7,2,1,6,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,4,2,7,6,3,1]=>[1,3,6,7,2,4,5]=>[7,5,2,1,6,4,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,4,3,1,2,6,7]=>[7,6,2,1,3,4,5]=>[1,2,6,7,5,4,3]=>[.,[.,[[[[.,[.,.]],.],.],.]]]
[5,4,3,1,2,7,6]=>[6,7,2,1,3,4,5]=>[2,1,6,7,5,4,3]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[5,4,3,1,6,2,7]=>[7,2,6,1,3,4,5]=>[1,6,2,7,5,4,3]=>[.,[[.,.],[[[[.,.],.],.],.]]]
[5,4,3,1,6,7,2]=>[2,7,6,1,3,4,5]=>[6,1,2,7,5,4,3]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[5,4,3,1,7,2,6]=>[6,2,7,1,3,4,5]=>[2,6,1,7,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,4,3,1,7,6,2]=>[2,6,7,1,3,4,5]=>[6,2,1,7,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[1,2,7,6,5,4,3]=>[.,[.,[[[[[.,.],.],.],.],.]]]
[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,3,2,6,1,7]=>[7,1,6,2,3,4,5]=>[1,7,2,6,5,4,3]=>[.,[[.,.],[[[[.,.],.],.],.]]]
[5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5]=>[7,1,2,6,5,4,3]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[5,4,3,2,7,1,6]=>[6,1,7,2,3,4,5]=>[2,7,1,6,5,4,3]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5]=>[7,2,1,6,5,4,3]=>[[[.,.],.],[[[[.,.],.],.],.]]
[5,4,3,6,1,2,7]=>[7,2,1,6,3,4,5]=>[1,6,7,2,5,4,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,4,3,6,1,7,2]=>[2,7,1,6,3,4,5]=>[6,1,7,2,5,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,4,3,6,2,1,7]=>[7,1,2,6,3,4,5]=>[1,7,6,2,5,4,3]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[5,4,3,6,2,7,1]=>[1,7,2,6,3,4,5]=>[7,1,6,2,5,4,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,4,3,6,7,1,2]=>[2,1,7,6,3,4,5]=>[6,7,1,2,5,4,3]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[5,4,3,6,7,2,1]=>[1,2,7,6,3,4,5]=>[7,6,1,2,5,4,3]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[5,4,3,7,1,2,6]=>[6,2,1,7,3,4,5]=>[2,6,7,1,5,4,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[5,4,3,7,1,6,2]=>[2,6,1,7,3,4,5]=>[6,2,7,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,4,3,7,2,1,6]=>[6,1,2,7,3,4,5]=>[2,7,6,1,5,4,3]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,4,3,7,2,6,1]=>[1,6,2,7,3,4,5]=>[7,2,6,1,5,4,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,4,3,7,6,1,2]=>[2,1,6,7,3,4,5]=>[6,7,2,1,5,4,3]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,4,3,7,6,2,1]=>[1,2,6,7,3,4,5]=>[7,6,2,1,5,4,3]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,4,6,1,2,3,7]=>[7,3,2,1,6,4,5]=>[1,5,6,7,2,4,3]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[5,4,6,1,2,7,3]=>[3,7,2,1,6,4,5]=>[5,1,6,7,2,4,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,4,6,1,3,2,7]=>[7,2,3,1,6,4,5]=>[1,6,5,7,2,4,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[5,4,6,1,3,7,2]=>[2,7,3,1,6,4,5]=>[6,1,5,7,2,4,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,4,6,1,7,2,3]=>[3,2,7,1,6,4,5]=>[5,6,1,7,2,4,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,4,6,1,7,3,2]=>[2,3,7,1,6,4,5]=>[6,5,1,7,2,4,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,4,6,2,1,3,7]=>[7,3,1,2,6,4,5]=>[1,5,7,6,2,4,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[5,4,6,2,1,7,3]=>[3,7,1,2,6,4,5]=>[5,1,7,6,2,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,4,6,2,3,1,7]=>[7,1,3,2,6,4,5]=>[1,7,5,6,2,4,3]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[5,4,6,2,3,7,1]=>[1,7,3,2,6,4,5]=>[7,1,5,6,2,4,3]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,4,6,2,7,1,3]=>[3,1,7,2,6,4,5]=>[5,7,1,6,2,4,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,4,6,2,7,3,1]=>[1,3,7,2,6,4,5]=>[7,5,1,6,2,4,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,4,6,3,1,2,7]=>[7,2,1,3,6,4,5]=>[1,6,7,5,2,4,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[5,4,6,3,1,7,2]=>[2,7,1,3,6,4,5]=>[6,1,7,5,2,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,4,6,3,2,1,7]=>[7,1,2,3,6,4,5]=>[1,7,6,5,2,4,3]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[5,4,6,3,2,7,1]=>[1,7,2,3,6,4,5]=>[7,1,6,5,2,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,4,6,3,7,1,2]=>[2,1,7,3,6,4,5]=>[6,7,1,5,2,4,3]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,4,6,3,7,2,1]=>[1,2,7,3,6,4,5]=>[7,6,1,5,2,4,3]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[5,4,6,7,1,2,3]=>[3,2,1,7,6,4,5]=>[5,6,7,1,2,4,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[5,4,6,7,1,3,2]=>[2,3,1,7,6,4,5]=>[6,5,7,1,2,4,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[5,4,6,7,2,1,3]=>[3,1,2,7,6,4,5]=>[5,7,6,1,2,4,3]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[5,4,6,7,2,3,1]=>[1,3,2,7,6,4,5]=>[7,5,6,1,2,4,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[5,4,6,7,3,1,2]=>[2,1,3,7,6,4,5]=>[6,7,5,1,2,4,3]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[5,4,6,7,3,2,1]=>[1,2,3,7,6,4,5]=>[7,6,5,1,2,4,3]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[5,4,7,1,2,3,6]=>[6,3,2,1,7,4,5]=>[2,5,6,7,1,4,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,4,7,1,2,6,3]=>[3,6,2,1,7,4,5]=>[5,2,6,7,1,4,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[5,4,7,1,3,2,6]=>[6,2,3,1,7,4,5]=>[2,6,5,7,1,4,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,4,7,1,3,6,2]=>[2,6,3,1,7,4,5]=>[6,2,5,7,1,4,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[5,4,7,1,6,2,3]=>[3,2,6,1,7,4,5]=>[5,6,2,7,1,4,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,4,7,1,6,3,2]=>[2,3,6,1,7,4,5]=>[6,5,2,7,1,4,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,4,7,2,1,3,6]=>[6,3,1,2,7,4,5]=>[2,5,7,6,1,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[5,4,7,2,1,6,3]=>[3,6,1,2,7,4,5]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,4,7,2,3,1,6]=>[6,1,3,2,7,4,5]=>[2,7,5,6,1,4,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,4,7,2,3,6,1]=>[1,6,3,2,7,4,5]=>[7,2,5,6,1,4,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[5,4,7,2,6,1,3]=>[3,1,6,2,7,4,5]=>[5,7,2,6,1,4,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,4,7,2,6,3,1]=>[1,3,6,2,7,4,5]=>[7,5,2,6,1,4,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,4,7,3,1,2,6]=>[6,2,1,3,7,4,5]=>[2,6,7,5,1,4,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[5,4,7,3,1,6,2]=>[2,6,1,3,7,4,5]=>[6,2,7,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,4,7,3,2,1,6]=>[6,1,2,3,7,4,5]=>[2,7,6,5,1,4,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,4,7,3,2,6,1]=>[1,6,2,3,7,4,5]=>[7,2,6,5,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[5,4,7,3,6,1,2]=>[2,1,6,3,7,4,5]=>[6,7,2,5,1,4,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[5,4,7,3,6,2,1]=>[1,2,6,3,7,4,5]=>[7,6,2,5,1,4,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[5,4,7,6,1,2,3]=>[3,2,1,6,7,4,5]=>[5,6,7,2,1,4,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[5,4,7,6,1,3,2]=>[2,3,1,6,7,4,5]=>[6,5,7,2,1,4,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,7,6,2,1,3]=>[3,1,2,6,7,4,5]=>[5,7,6,2,1,4,3]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[5,4,7,6,2,3,1]=>[1,3,2,6,7,4,5]=>[7,5,6,2,1,4,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[5,4,7,6,3,1,2]=>[2,1,3,6,7,4,5]=>[6,7,5,2,1,4,3]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5]=>[7,6,5,2,1,4,3]=>[[[[[.,.],.],.],.],[[.,.],.]]
[5,6,1,2,3,4,7]=>[7,4,3,2,1,6,5]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,1,2,3,7,4]=>[4,7,3,2,1,6,5]=>[4,1,5,6,7,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[5,6,1,2,4,3,7]=>[7,3,4,2,1,6,5]=>[1,5,4,6,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,6,1,2,4,7,3]=>[3,7,4,2,1,6,5]=>[5,1,4,6,7,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[5,6,1,2,7,3,4]=>[4,3,7,2,1,6,5]=>[4,5,1,6,7,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,6,1,2,7,4,3]=>[3,4,7,2,1,6,5]=>[5,4,1,6,7,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,6,1,3,2,4,7]=>[7,4,2,3,1,6,5]=>[1,4,6,5,7,2,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,6,1,3,2,7,4]=>[4,7,2,3,1,6,5]=>[4,1,6,5,7,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,6,1,3,4,2,7]=>[7,2,4,3,1,6,5]=>[1,6,4,5,7,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,6,1,3,4,7,2]=>[2,7,4,3,1,6,5]=>[6,1,4,5,7,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[5,6,1,3,7,2,4]=>[4,2,7,3,1,6,5]=>[4,6,1,5,7,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,6,1,3,7,4,2]=>[2,4,7,3,1,6,5]=>[6,4,1,5,7,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,6,1,4,2,3,7]=>[7,3,2,4,1,6,5]=>[1,5,6,4,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,6,1,4,2,7,3]=>[3,7,2,4,1,6,5]=>[5,1,6,4,7,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,6,1,4,3,2,7]=>[7,2,3,4,1,6,5]=>[1,6,5,4,7,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,6,1,4,3,7,2]=>[2,7,3,4,1,6,5]=>[6,1,5,4,7,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,6,1,4,7,2,3]=>[3,2,7,4,1,6,5]=>[5,6,1,4,7,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,6,1,4,7,3,2]=>[2,3,7,4,1,6,5]=>[6,5,1,4,7,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,6,1,7,2,3,4]=>[4,3,2,7,1,6,5]=>[4,5,6,1,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,6,1,7,2,4,3]=>[3,4,2,7,1,6,5]=>[5,4,6,1,7,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,6,1,7,3,2,4]=>[4,2,3,7,1,6,5]=>[4,6,5,1,7,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,6,1,7,3,4,2]=>[2,4,3,7,1,6,5]=>[6,4,5,1,7,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,6,1,7,4,2,3]=>[3,2,4,7,1,6,5]=>[5,6,4,1,7,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,6,1,7,4,3,2]=>[2,3,4,7,1,6,5]=>[6,5,4,1,7,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,6,2,1,3,4,7]=>[7,4,3,1,2,6,5]=>[1,4,5,7,6,2,3]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[5,6,2,1,3,7,4]=>[4,7,3,1,2,6,5]=>[4,1,5,7,6,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[5,6,2,1,4,3,7]=>[7,3,4,1,2,6,5]=>[1,5,4,7,6,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[5,6,2,1,4,7,3]=>[3,7,4,1,2,6,5]=>[5,1,4,7,6,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[5,6,2,1,7,3,4]=>[4,3,7,1,2,6,5]=>[4,5,1,7,6,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,6,2,1,7,4,3]=>[3,4,7,1,2,6,5]=>[5,4,1,7,6,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[5,6,2,3,1,4,7]=>[7,4,1,3,2,6,5]=>[1,4,7,5,6,2,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,6,2,3,1,7,4]=>[4,7,1,3,2,6,5]=>[4,1,7,5,6,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,6,2,3,4,1,7]=>[7,1,4,3,2,6,5]=>[1,7,4,5,6,2,3]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,6,2,3,4,7,1]=>[1,7,4,3,2,6,5]=>[7,1,4,5,6,2,3]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[5,6,2,3,7,1,4]=>[4,1,7,3,2,6,5]=>[4,7,1,5,6,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,6,2,3,7,4,1]=>[1,4,7,3,2,6,5]=>[7,4,1,5,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,6,2,4,1,3,7]=>[7,3,1,4,2,6,5]=>[1,5,7,4,6,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,6,2,4,1,7,3]=>[3,7,1,4,2,6,5]=>[5,1,7,4,6,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,6,2,4,3,1,7]=>[7,1,3,4,2,6,5]=>[1,7,5,4,6,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,6,2,4,3,7,1]=>[1,7,3,4,2,6,5]=>[7,1,5,4,6,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,6,2,4,7,1,3]=>[3,1,7,4,2,6,5]=>[5,7,1,4,6,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,6,2,4,7,3,1]=>[1,3,7,4,2,6,5]=>[7,5,1,4,6,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,6,2,7,1,3,4]=>[4,3,1,7,2,6,5]=>[4,5,7,1,6,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,6,2,7,1,4,3]=>[3,4,1,7,2,6,5]=>[5,4,7,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,6,2,7,3,1,4]=>[4,1,3,7,2,6,5]=>[4,7,5,1,6,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,6,2,7,3,4,1]=>[1,4,3,7,2,6,5]=>[7,4,5,1,6,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,6,2,7,4,1,3]=>[3,1,4,7,2,6,5]=>[5,7,4,1,6,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,6,2,7,4,3,1]=>[1,3,4,7,2,6,5]=>[7,5,4,1,6,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,6,3,1,2,4,7]=>[7,4,2,1,3,6,5]=>[1,4,6,7,5,2,3]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[5,6,3,1,2,7,4]=>[4,7,2,1,3,6,5]=>[4,1,6,7,5,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[5,6,3,1,4,2,7]=>[7,2,4,1,3,6,5]=>[1,6,4,7,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[5,6,3,1,4,7,2]=>[2,7,4,1,3,6,5]=>[6,1,4,7,5,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[5,6,3,1,7,2,4]=>[4,2,7,1,3,6,5]=>[4,6,1,7,5,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,6,3,1,7,4,2]=>[2,4,7,1,3,6,5]=>[6,4,1,7,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[5,6,3,2,1,4,7]=>[7,4,1,2,3,6,5]=>[1,4,7,6,5,2,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[5,6,3,2,1,7,4]=>[4,7,1,2,3,6,5]=>[4,1,7,6,5,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[5,6,3,2,4,1,7]=>[7,1,4,2,3,6,5]=>[1,7,4,6,5,2,3]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[5,6,3,2,4,7,1]=>[1,7,4,2,3,6,5]=>[7,1,4,6,5,2,3]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[5,6,3,2,7,1,4]=>[4,1,7,2,3,6,5]=>[4,7,1,6,5,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,6,3,2,7,4,1]=>[1,4,7,2,3,6,5]=>[7,4,1,6,5,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,6,3,4,1,7,2]=>[2,7,1,4,3,6,5]=>[6,1,7,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,6,3,4,2,1,7]=>[7,1,2,4,3,6,5]=>[1,7,6,4,5,2,3]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,6,3,4,2,7,1]=>[1,7,2,4,3,6,5]=>[7,1,6,4,5,2,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,6,3,4,7,1,2]=>[2,1,7,4,3,6,5]=>[6,7,1,4,5,2,3]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,6,3,4,7,2,1]=>[1,2,7,4,3,6,5]=>[7,6,1,4,5,2,3]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,6,3,7,1,2,4]=>[4,2,1,7,3,6,5]=>[4,6,7,1,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,6,3,7,1,4,2]=>[2,4,1,7,3,6,5]=>[6,4,7,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,6,3,7,2,1,4]=>[4,1,2,7,3,6,5]=>[4,7,6,1,5,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,6,3,7,2,4,1]=>[1,4,2,7,3,6,5]=>[7,4,6,1,5,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,6,3,7,4,1,2]=>[2,1,4,7,3,6,5]=>[6,7,4,1,5,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,6,3,7,4,2,1]=>[1,2,4,7,3,6,5]=>[7,6,4,1,5,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,6,4,1,2,3,7]=>[7,3,2,1,4,6,5]=>[1,5,6,7,4,2,3]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,6,4,1,2,7,3]=>[3,7,2,1,4,6,5]=>[5,1,6,7,4,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[5,6,4,1,3,2,7]=>[7,2,3,1,4,6,5]=>[1,6,5,7,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[5,6,4,1,3,7,2]=>[2,7,3,1,4,6,5]=>[6,1,5,7,4,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[5,6,4,1,7,2,3]=>[3,2,7,1,4,6,5]=>[5,6,1,7,4,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,6,4,1,7,3,2]=>[2,3,7,1,4,6,5]=>[6,5,1,7,4,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[5,6,4,2,1,3,7]=>[7,3,1,2,4,6,5]=>[1,5,7,6,4,2,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[5,6,4,2,1,7,3]=>[3,7,1,2,4,6,5]=>[5,1,7,6,4,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[5,6,4,2,3,1,7]=>[7,1,3,2,4,6,5]=>[1,7,5,6,4,2,3]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5]=>[7,1,5,6,4,2,3]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[5,6,4,2,7,1,3]=>[3,1,7,2,4,6,5]=>[5,7,1,6,4,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,6,4,2,7,3,1]=>[1,3,7,2,4,6,5]=>[7,5,1,6,4,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[5,6,4,3,1,2,7]=>[7,2,1,3,4,6,5]=>[1,6,7,5,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[5,6,4,3,1,7,2]=>[2,7,1,3,4,6,5]=>[6,1,7,5,4,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[5,6,4,3,2,1,7]=>[7,1,2,3,4,6,5]=>[1,7,6,5,4,2,3]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[5,6,4,3,2,7,1]=>[1,7,2,3,4,6,5]=>[7,1,6,5,4,2,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[5,6,4,3,7,1,2]=>[2,1,7,3,4,6,5]=>[6,7,1,5,4,2,3]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[5,6,4,3,7,2,1]=>[1,2,7,3,4,6,5]=>[7,6,1,5,4,2,3]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[5,6,4,7,1,2,3]=>[3,2,1,7,4,6,5]=>[5,6,7,1,4,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,6,4,7,1,3,2]=>[2,3,1,7,4,6,5]=>[6,5,7,1,4,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,6,4,7,2,1,3]=>[3,1,2,7,4,6,5]=>[5,7,6,1,4,2,3]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,6,4,7,2,3,1]=>[1,3,2,7,4,6,5]=>[7,5,6,1,4,2,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,6,4,7,3,1,2]=>[2,1,3,7,4,6,5]=>[6,7,5,1,4,2,3]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,6,4,7,3,2,1]=>[1,2,3,7,4,6,5]=>[7,6,5,1,4,2,3]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[5,6,7,1,2,4,3]=>[3,4,2,1,7,6,5]=>[5,4,6,7,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[5,6,7,1,3,2,4]=>[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[5,6,7,1,3,4,2]=>[2,4,3,1,7,6,5]=>[6,4,5,7,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[5,6,7,1,4,2,3]=>[3,2,4,1,7,6,5]=>[5,6,4,7,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,6,7,1,4,3,2]=>[2,3,4,1,7,6,5]=>[6,5,4,7,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,6,7,2,1,3,4]=>[4,3,1,2,7,6,5]=>[4,5,7,6,1,2,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[5,6,7,2,1,4,3]=>[3,4,1,2,7,6,5]=>[5,4,7,6,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[5,6,7,2,3,1,4]=>[4,1,3,2,7,6,5]=>[4,7,5,6,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[5,6,7,2,4,1,3]=>[3,1,4,2,7,6,5]=>[5,7,4,6,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,6,7,2,4,3,1]=>[1,3,4,2,7,6,5]=>[7,5,4,6,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,6,7,3,1,2,4]=>[4,2,1,3,7,6,5]=>[4,6,7,5,1,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[5,6,7,3,1,4,2]=>[2,4,1,3,7,6,5]=>[6,4,7,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[5,6,7,3,2,1,4]=>[4,1,2,3,7,6,5]=>[4,7,6,5,1,2,3]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[5,6,7,3,2,4,1]=>[1,4,2,3,7,6,5]=>[7,4,6,5,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[5,6,7,3,4,1,2]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[5,6,7,3,4,2,1]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[5,6,7,4,1,3,2]=>[2,3,1,4,7,6,5]=>[6,5,7,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[5,6,7,4,2,1,3]=>[3,1,2,4,7,6,5]=>[5,7,6,4,1,2,3]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[5,6,7,4,2,3,1]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[5,6,7,4,3,1,2]=>[2,1,3,4,7,6,5]=>[6,7,5,4,1,2,3]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[5,6,7,4,3,2,1]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[5,7,1,2,3,4,6]=>[6,4,3,2,1,7,5]=>[2,4,5,6,7,1,3]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,7,1,2,3,6,4]=>[4,6,3,2,1,7,5]=>[4,2,5,6,7,1,3]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[5,7,1,2,4,3,6]=>[6,3,4,2,1,7,5]=>[2,5,4,6,7,1,3]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[5,7,1,2,4,6,3]=>[3,6,4,2,1,7,5]=>[5,2,4,6,7,1,3]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[5,7,1,2,6,3,4]=>[4,3,6,2,1,7,5]=>[4,5,2,6,7,1,3]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,7,1,2,6,4,3]=>[3,4,6,2,1,7,5]=>[5,4,2,6,7,1,3]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,7,1,3,2,4,6]=>[6,4,2,3,1,7,5]=>[2,4,6,5,7,1,3]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[5,7,1,3,2,6,4]=>[4,6,2,3,1,7,5]=>[4,2,6,5,7,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,7,1,3,4,2,6]=>[6,2,4,3,1,7,5]=>[2,6,4,5,7,1,3]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[5,7,1,3,4,6,2]=>[2,6,4,3,1,7,5]=>[6,2,4,5,7,1,3]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[5,7,1,3,6,2,4]=>[4,2,6,3,1,7,5]=>[4,6,2,5,7,1,3]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,7,1,3,6,4,2]=>[2,4,6,3,1,7,5]=>[6,4,2,5,7,1,3]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,7,1,4,2,3,6]=>[6,3,2,4,1,7,5]=>[2,5,6,4,7,1,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[5,7,1,4,2,6,3]=>[3,6,2,4,1,7,5]=>[5,2,6,4,7,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,7,1,4,3,2,6]=>[6,2,3,4,1,7,5]=>[2,6,5,4,7,1,3]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[5,7,1,4,3,6,2]=>[2,6,3,4,1,7,5]=>[6,2,5,4,7,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,7,1,4,6,2,3]=>[3,2,6,4,1,7,5]=>[5,6,2,4,7,1,3]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,7,1,4,6,3,2]=>[2,3,6,4,1,7,5]=>[6,5,2,4,7,1,3]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,7,1,6,2,3,4]=>[4,3,2,6,1,7,5]=>[4,5,6,2,7,1,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[5,7,1,6,2,4,3]=>[3,4,2,6,1,7,5]=>[5,4,6,2,7,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,7,1,6,3,2,4]=>[4,2,3,6,1,7,5]=>[4,6,5,2,7,1,3]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[5,7,1,6,3,4,2]=>[2,4,3,6,1,7,5]=>[6,4,5,2,7,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,7,1,6,4,2,3]=>[3,2,4,6,1,7,5]=>[5,6,4,2,7,1,3]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,7,1,6,4,3,2]=>[2,3,4,6,1,7,5]=>[6,5,4,2,7,1,3]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,7,2,1,3,4,6]=>[6,4,3,1,2,7,5]=>[2,4,5,7,6,1,3]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[5,7,2,1,3,6,4]=>[4,6,3,1,2,7,5]=>[4,2,5,7,6,1,3]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[5,7,2,1,4,3,6]=>[6,3,4,1,2,7,5]=>[2,5,4,7,6,1,3]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[5,7,2,1,4,6,3]=>[3,6,4,1,2,7,5]=>[5,2,4,7,6,1,3]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[5,7,2,1,6,3,4]=>[4,3,6,1,2,7,5]=>[4,5,2,7,6,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,2,1,6,4,3]=>[3,4,6,1,2,7,5]=>[5,4,2,7,6,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,7,2,3,1,4,6]=>[6,4,1,3,2,7,5]=>[2,4,7,5,6,1,3]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[5,7,2,3,1,6,4]=>[4,6,1,3,2,7,5]=>[4,2,7,5,6,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,7,2,3,4,1,6]=>[6,1,4,3,2,7,5]=>[2,7,4,5,6,1,3]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[5,7,2,3,4,6,1]=>[1,6,4,3,2,7,5]=>[7,2,4,5,6,1,3]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[5,7,2,3,6,1,4]=>[4,1,6,3,2,7,5]=>[4,7,2,5,6,1,3]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,7,2,3,6,4,1]=>[1,4,6,3,2,7,5]=>[7,4,2,5,6,1,3]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,7,2,4,1,3,6]=>[6,3,1,4,2,7,5]=>[2,5,7,4,6,1,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[5,7,2,4,1,6,3]=>[3,6,1,4,2,7,5]=>[5,2,7,4,6,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,7,2,4,3,1,6]=>[6,1,3,4,2,7,5]=>[2,7,5,4,6,1,3]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[5,7,2,4,3,6,1]=>[1,6,3,4,2,7,5]=>[7,2,5,4,6,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,7,2,4,6,1,3]=>[3,1,6,4,2,7,5]=>[5,7,2,4,6,1,3]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,7,2,4,6,3,1]=>[1,3,6,4,2,7,5]=>[7,5,2,4,6,1,3]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,7,2,6,1,3,4]=>[4,3,1,6,2,7,5]=>[4,5,7,2,6,1,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[5,7,2,6,1,4,3]=>[3,4,1,6,2,7,5]=>[5,4,7,2,6,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,7,2,6,3,1,4]=>[4,1,3,6,2,7,5]=>[4,7,5,2,6,1,3]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[5,7,2,6,3,4,1]=>[1,4,3,6,2,7,5]=>[7,4,5,2,6,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,7,2,6,4,1,3]=>[3,1,4,6,2,7,5]=>[5,7,4,2,6,1,3]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,7,2,6,4,3,1]=>[1,3,4,6,2,7,5]=>[7,5,4,2,6,1,3]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,7,3,1,2,4,6]=>[6,4,2,1,3,7,5]=>[2,4,6,7,5,1,3]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]
[5,7,3,1,2,6,4]=>[4,6,2,1,3,7,5]=>[4,2,6,7,5,1,3]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[5,7,3,1,4,2,6]=>[6,2,4,1,3,7,5]=>[2,6,4,7,5,1,3]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[5,7,3,1,4,6,2]=>[2,6,4,1,3,7,5]=>[6,2,4,7,5,1,3]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[5,7,3,1,6,2,4]=>[4,2,6,1,3,7,5]=>[4,6,2,7,5,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,3,1,6,4,2]=>[2,4,6,1,3,7,5]=>[6,4,2,7,5,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,7,3,2,1,4,6]=>[6,4,1,2,3,7,5]=>[2,4,7,6,5,1,3]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[5,7,3,2,1,6,4]=>[4,6,1,2,3,7,5]=>[4,2,7,6,5,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,7,3,2,4,1,6]=>[6,1,4,2,3,7,5]=>[2,7,4,6,5,1,3]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[5,7,3,2,4,6,1]=>[1,6,4,2,3,7,5]=>[7,2,4,6,5,1,3]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[5,7,3,2,6,1,4]=>[4,1,6,2,3,7,5]=>[4,7,2,6,5,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,3,2,6,4,1]=>[1,4,6,2,3,7,5]=>[7,4,2,6,5,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,7,3,4,1,2,6]=>[6,2,1,4,3,7,5]=>[2,6,7,4,5,1,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5]=>[6,2,7,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,7,3,4,2,1,6]=>[6,1,2,4,3,7,5]=>[2,7,6,4,5,1,3]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[5,7,3,4,2,6,1]=>[1,6,2,4,3,7,5]=>[7,2,6,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,7,3,4,6,1,2]=>[2,1,6,4,3,7,5]=>[6,7,2,4,5,1,3]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,7,3,4,6,2,1]=>[1,2,6,4,3,7,5]=>[7,6,2,4,5,1,3]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,7,3,6,1,2,4]=>[4,2,1,6,3,7,5]=>[4,6,7,2,5,1,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,7,3,6,2,1,4]=>[4,1,2,6,3,7,5]=>[4,7,6,2,5,1,3]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[5,7,3,6,2,4,1]=>[1,4,2,6,3,7,5]=>[7,4,6,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,7,3,6,4,1,2]=>[2,1,4,6,3,7,5]=>[6,7,4,2,5,1,3]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,7,3,6,4,2,1]=>[1,2,4,6,3,7,5]=>[7,6,4,2,5,1,3]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,7,4,1,2,3,6]=>[6,3,2,1,4,7,5]=>[2,5,6,7,4,1,3]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[5,7,4,1,2,6,3]=>[3,6,2,1,4,7,5]=>[5,2,6,7,4,1,3]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[5,7,4,1,3,2,6]=>[6,2,3,1,4,7,5]=>[2,6,5,7,4,1,3]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[5,7,4,1,3,6,2]=>[2,6,3,1,4,7,5]=>[6,2,5,7,4,1,3]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[5,7,4,1,6,2,3]=>[3,2,6,1,4,7,5]=>[5,6,2,7,4,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,4,1,6,3,2]=>[2,3,6,1,4,7,5]=>[6,5,2,7,4,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,7,4,2,1,3,6]=>[6,3,1,2,4,7,5]=>[2,5,7,6,4,1,3]=>[[.,[[.,[[.,.],.]],.]],[.,.]]
[5,7,4,2,1,6,3]=>[3,6,1,2,4,7,5]=>[5,2,7,6,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,7,4,2,3,1,6]=>[6,1,3,2,4,7,5]=>[2,7,5,6,4,1,3]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[5,7,4,2,3,6,1]=>[1,6,3,2,4,7,5]=>[7,2,5,6,4,1,3]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[5,7,4,2,6,1,3]=>[3,1,6,2,4,7,5]=>[5,7,2,6,4,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5]=>[7,5,2,6,4,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,7,4,3,1,2,6]=>[6,2,1,3,4,7,5]=>[2,6,7,5,4,1,3]=>[[.,[[[.,[.,.]],.],.]],[.,.]]
[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,7,4,3,2,1,6]=>[6,1,2,3,4,7,5]=>[2,7,6,5,4,1,3]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[5,7,4,3,2,6,1]=>[1,6,2,3,4,7,5]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[5,7,4,3,6,1,2]=>[2,1,6,3,4,7,5]=>[6,7,2,5,4,1,3]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[5,7,4,3,6,2,1]=>[1,2,6,3,4,7,5]=>[7,6,2,5,4,1,3]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[5,7,4,6,1,2,3]=>[3,2,1,6,4,7,5]=>[5,6,7,2,4,1,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[5,7,4,6,1,3,2]=>[2,3,1,6,4,7,5]=>[6,5,7,2,4,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,7,4,6,2,1,3]=>[3,1,2,6,4,7,5]=>[5,7,6,2,4,1,3]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[5,7,4,6,2,3,1]=>[1,3,2,6,4,7,5]=>[7,5,6,2,4,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,7,4,6,3,1,2]=>[2,1,3,6,4,7,5]=>[6,7,5,2,4,1,3]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,7,4,6,3,2,1]=>[1,2,3,6,4,7,5]=>[7,6,5,2,4,1,3]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,7,6,1,2,3,4]=>[4,3,2,1,6,7,5]=>[4,5,6,7,2,1,3]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[5,7,6,1,2,4,3]=>[3,4,2,1,6,7,5]=>[5,4,6,7,2,1,3]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[5,7,6,1,3,2,4]=>[4,2,3,1,6,7,5]=>[4,6,5,7,2,1,3]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[5,7,6,1,3,4,2]=>[2,4,3,1,6,7,5]=>[6,4,5,7,2,1,3]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[5,7,6,1,4,2,3]=>[3,2,4,1,6,7,5]=>[5,6,4,7,2,1,3]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[5,7,6,1,4,3,2]=>[2,3,4,1,6,7,5]=>[6,5,4,7,2,1,3]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,7,6,2,1,3,4]=>[4,3,1,2,6,7,5]=>[4,5,7,6,2,1,3]=>[[[.,[.,[[.,.],.]]],.],[.,.]]
[5,7,6,2,1,4,3]=>[3,4,1,2,6,7,5]=>[5,4,7,6,2,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[5,7,6,2,3,1,4]=>[4,1,3,2,6,7,5]=>[4,7,5,6,2,1,3]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[5,7,6,2,3,4,1]=>[1,4,3,2,6,7,5]=>[7,4,5,6,2,1,3]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[5,7,6,2,4,1,3]=>[3,1,4,2,6,7,5]=>[5,7,4,6,2,1,3]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5]=>[7,5,4,6,2,1,3]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,7,6,3,1,2,4]=>[4,2,1,3,6,7,5]=>[4,6,7,5,2,1,3]=>[[[.,[[.,[.,.]],.]],.],[.,.]]
[5,7,6,3,1,4,2]=>[2,4,1,3,6,7,5]=>[6,4,7,5,2,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[5,7,6,3,2,1,4]=>[4,1,2,3,6,7,5]=>[4,7,6,5,2,1,3]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[5,7,6,3,2,4,1]=>[1,4,2,3,6,7,5]=>[7,4,6,5,2,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[5,7,6,3,4,1,2]=>[2,1,4,3,6,7,5]=>[6,7,4,5,2,1,3]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[5,7,6,3,4,2,1]=>[1,2,4,3,6,7,5]=>[7,6,4,5,2,1,3]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[5,7,6,4,1,2,3]=>[3,2,1,4,6,7,5]=>[5,6,7,4,2,1,3]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[5,7,6,4,2,1,3]=>[3,1,2,4,6,7,5]=>[5,7,6,4,2,1,3]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[5,7,6,4,2,3,1]=>[1,3,2,4,6,7,5]=>[7,5,6,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[5,7,6,4,3,1,2]=>[2,1,3,4,6,7,5]=>[6,7,5,4,2,1,3]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[5,7,6,4,3,2,1]=>[1,2,3,4,6,7,5]=>[7,6,5,4,2,1,3]=>[[[[[[.,.],.],.],.],.],[.,.]]
[6,1,2,3,4,5,7]=>[7,5,4,3,2,1,6]=>[1,3,4,5,6,7,2]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,1,2,3,4,7,5]=>[5,7,4,3,2,1,6]=>[3,1,4,5,6,7,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[6,1,2,3,5,4,7]=>[7,4,5,3,2,1,6]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,1,2,3,5,7,4]=>[4,7,5,3,2,1,6]=>[4,1,3,5,6,7,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[6,1,2,3,7,4,5]=>[5,4,7,3,2,1,6]=>[3,4,1,5,6,7,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[6,1,2,3,7,5,4]=>[4,5,7,3,2,1,6]=>[4,3,1,5,6,7,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[6,1,2,4,3,5,7]=>[7,5,3,4,2,1,6]=>[1,3,5,4,6,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,1,2,4,3,7,5]=>[5,7,3,4,2,1,6]=>[3,1,5,4,6,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[6,1,2,4,5,3,7]=>[7,3,5,4,2,1,6]=>[1,5,3,4,6,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,1,2,4,5,7,3]=>[3,7,5,4,2,1,6]=>[5,1,3,4,6,7,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[6,1,2,4,7,3,5]=>[5,3,7,4,2,1,6]=>[3,5,1,4,6,7,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[6,1,2,4,7,5,3]=>[3,5,7,4,2,1,6]=>[5,3,1,4,6,7,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[6,1,2,5,3,4,7]=>[7,4,3,5,2,1,6]=>[1,4,5,3,6,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,1,2,5,3,7,4]=>[4,7,3,5,2,1,6]=>[4,1,5,3,6,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[6,1,2,5,4,3,7]=>[7,3,4,5,2,1,6]=>[1,5,4,3,6,7,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[6,1,2,5,4,7,3]=>[3,7,4,5,2,1,6]=>[5,1,4,3,6,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[6,1,2,5,7,3,4]=>[4,3,7,5,2,1,6]=>[4,5,1,3,6,7,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[6,1,2,5,7,4,3]=>[3,4,7,5,2,1,6]=>[5,4,1,3,6,7,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[6,1,2,7,3,4,5]=>[5,4,3,7,2,1,6]=>[3,4,5,1,6,7,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,1,2,7,3,5,4]=>[4,5,3,7,2,1,6]=>[4,3,5,1,6,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,1,2,7,4,3,5]=>[5,3,4,7,2,1,6]=>[3,5,4,1,6,7,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[6,1,2,7,4,5,3]=>[3,5,4,7,2,1,6]=>[5,3,4,1,6,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,1,2,7,5,3,4]=>[4,3,5,7,2,1,6]=>[4,5,3,1,6,7,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[6,1,2,7,5,4,3]=>[3,4,5,7,2,1,6]=>[5,4,3,1,6,7,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[6,1,3,2,4,5,7]=>[7,5,4,2,3,1,6]=>[1,3,4,6,5,7,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,1,3,2,4,7,5]=>[5,7,4,2,3,1,6]=>[3,1,4,6,5,7,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[6,1,3,2,5,4,7]=>[7,4,5,2,3,1,6]=>[1,4,3,6,5,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,1,3,2,5,7,4]=>[4,7,5,2,3,1,6]=>[4,1,3,6,5,7,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[6,1,3,2,7,4,5]=>[5,4,7,2,3,1,6]=>[3,4,1,6,5,7,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,1,3,2,7,5,4]=>[4,5,7,2,3,1,6]=>[4,3,1,6,5,7,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,1,3,4,2,5,7]=>[7,5,2,4,3,1,6]=>[1,3,6,4,5,7,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,1,3,4,2,7,5]=>[5,7,2,4,3,1,6]=>[3,1,6,4,5,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[6,1,3,4,5,2,7]=>[7,2,5,4,3,1,6]=>[1,6,3,4,5,7,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,1,3,4,5,7,2]=>[2,7,5,4,3,1,6]=>[6,1,3,4,5,7,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[6,1,3,4,7,2,5]=>[5,2,7,4,3,1,6]=>[3,6,1,4,5,7,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[6,1,3,4,7,5,2]=>[2,5,7,4,3,1,6]=>[6,3,1,4,5,7,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[6,1,3,5,2,4,7]=>[7,4,2,5,3,1,6]=>[1,4,6,3,5,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,1,3,5,2,7,4]=>[4,7,2,5,3,1,6]=>[4,1,6,3,5,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[6,1,3,5,4,2,7]=>[7,2,4,5,3,1,6]=>[1,6,4,3,5,7,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[6,1,3,5,4,7,2]=>[2,7,4,5,3,1,6]=>[6,1,4,3,5,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[6,1,3,5,7,2,4]=>[4,2,7,5,3,1,6]=>[4,6,1,3,5,7,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[6,1,3,5,7,4,2]=>[2,4,7,5,3,1,6]=>[6,4,1,3,5,7,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[6,1,3,7,2,4,5]=>[5,4,2,7,3,1,6]=>[3,4,6,1,5,7,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,1,3,7,2,5,4]=>[4,5,2,7,3,1,6]=>[4,3,6,1,5,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,1,3,7,4,2,5]=>[5,2,4,7,3,1,6]=>[3,6,4,1,5,7,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[6,1,3,7,4,5,2]=>[2,5,4,7,3,1,6]=>[6,3,4,1,5,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,1,3,7,5,2,4]=>[4,2,5,7,3,1,6]=>[4,6,3,1,5,7,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[6,1,3,7,5,4,2]=>[2,4,5,7,3,1,6]=>[6,4,3,1,5,7,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[6,1,4,2,3,5,7]=>[7,5,3,2,4,1,6]=>[1,3,5,6,4,7,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,1,4,2,3,7,5]=>[5,7,3,2,4,1,6]=>[3,1,5,6,4,7,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[6,1,4,2,5,3,7]=>[7,3,5,2,4,1,6]=>[1,5,3,6,4,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,1,4,2,5,7,3]=>[3,7,5,2,4,1,6]=>[5,1,3,6,4,7,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[6,1,4,2,7,3,5]=>[5,3,7,2,4,1,6]=>[3,5,1,6,4,7,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,1,4,2,7,5,3]=>[3,5,7,2,4,1,6]=>[5,3,1,6,4,7,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,1,4,3,2,5,7]=>[7,5,2,3,4,1,6]=>[1,3,6,5,4,7,2]=>[.,[[.,[[[.,.],.],[.,.]]],.]]
[6,1,4,3,2,7,5]=>[5,7,2,3,4,1,6]=>[3,1,6,5,4,7,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[6,1,4,3,5,2,7]=>[7,2,5,3,4,1,6]=>[1,6,3,5,4,7,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,1,4,3,5,7,2]=>[2,7,5,3,4,1,6]=>[6,1,3,5,4,7,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[6,1,4,3,7,2,5]=>[5,2,7,3,4,1,6]=>[3,6,1,5,4,7,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,1,4,3,7,5,2]=>[2,5,7,3,4,1,6]=>[6,3,1,5,4,7,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,1,4,5,2,3,7]=>[7,3,2,5,4,1,6]=>[1,5,6,3,4,7,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,1,4,5,2,7,3]=>[3,7,2,5,4,1,6]=>[5,1,6,3,4,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[6,1,4,5,3,2,7]=>[7,2,3,5,4,1,6]=>[1,6,5,3,4,7,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[6,1,4,5,3,7,2]=>[2,7,3,5,4,1,6]=>[6,1,5,3,4,7,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[6,1,4,5,7,2,3]=>[3,2,7,5,4,1,6]=>[5,6,1,3,4,7,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[6,1,4,5,7,3,2]=>[2,3,7,5,4,1,6]=>[6,5,1,3,4,7,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[6,1,4,7,2,3,5]=>[5,3,2,7,4,1,6]=>[3,5,6,1,4,7,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,1,4,7,2,5,3]=>[3,5,2,7,4,1,6]=>[5,3,6,1,4,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,1,4,7,3,2,5]=>[5,2,3,7,4,1,6]=>[3,6,5,1,4,7,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[6,1,4,7,3,5,2]=>[2,5,3,7,4,1,6]=>[6,3,5,1,4,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,1,4,7,5,2,3]=>[3,2,5,7,4,1,6]=>[5,6,3,1,4,7,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[6,1,4,7,5,3,2]=>[2,3,5,7,4,1,6]=>[6,5,3,1,4,7,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[6,1,5,2,3,4,7]=>[7,4,3,2,5,1,6]=>[1,4,5,6,3,7,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[6,1,5,2,3,7,4]=>[4,7,3,2,5,1,6]=>[4,1,5,6,3,7,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[6,1,5,2,4,3,7]=>[7,3,4,2,5,1,6]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,1,5,2,4,7,3]=>[3,7,4,2,5,1,6]=>[5,1,4,6,3,7,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[6,1,5,2,7,3,4]=>[4,3,7,2,5,1,6]=>[4,5,1,6,3,7,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,1,5,2,7,4,3]=>[3,4,7,2,5,1,6]=>[5,4,1,6,3,7,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,1,5,3,2,4,7]=>[7,4,2,3,5,1,6]=>[1,4,6,5,3,7,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[6,1,5,3,2,7,4]=>[4,7,2,3,5,1,6]=>[4,1,6,5,3,7,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[6,1,5,3,4,2,7]=>[7,2,4,3,5,1,6]=>[1,6,4,5,3,7,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,1,5,3,4,7,2]=>[2,7,4,3,5,1,6]=>[6,1,4,5,3,7,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[6,1,5,3,7,2,4]=>[4,2,7,3,5,1,6]=>[4,6,1,5,3,7,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,1,5,3,7,4,2]=>[2,4,7,3,5,1,6]=>[6,4,1,5,3,7,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,1,5,4,2,3,7]=>[7,3,2,4,5,1,6]=>[1,5,6,4,3,7,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[6,1,5,4,2,7,3]=>[3,7,2,4,5,1,6]=>[5,1,6,4,3,7,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[6,1,5,4,3,2,7]=>[7,2,3,4,5,1,6]=>[1,6,5,4,3,7,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]
[6,1,5,4,3,7,2]=>[2,7,3,4,5,1,6]=>[6,1,5,4,3,7,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[6,1,5,4,7,2,3]=>[3,2,7,4,5,1,6]=>[5,6,1,4,3,7,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,1,5,4,7,3,2]=>[2,3,7,4,5,1,6]=>[6,5,1,4,3,7,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,1,5,7,2,3,4]=>[4,3,2,7,5,1,6]=>[4,5,6,1,3,7,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,1,5,7,2,4,3]=>[3,4,2,7,5,1,6]=>[5,4,6,1,3,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,1,5,7,3,2,4]=>[4,2,3,7,5,1,6]=>[4,6,5,1,3,7,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[6,1,5,7,3,4,2]=>[2,4,3,7,5,1,6]=>[6,4,5,1,3,7,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,1,5,7,4,2,3]=>[3,2,4,7,5,1,6]=>[5,6,4,1,3,7,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[6,1,5,7,4,3,2]=>[2,3,4,7,5,1,6]=>[6,5,4,1,3,7,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[6,1,7,2,3,4,5]=>[5,4,3,2,7,1,6]=>[3,4,5,6,1,7,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[6,1,7,2,3,5,4]=>[4,5,3,2,7,1,6]=>[4,3,5,6,1,7,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,1,7,2,4,3,5]=>[5,3,4,2,7,1,6]=>[3,5,4,6,1,7,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,1,7,2,4,5,3]=>[3,5,4,2,7,1,6]=>[5,3,4,6,1,7,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,1,7,2,5,3,4]=>[4,3,5,2,7,1,6]=>[4,5,3,6,1,7,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,1,7,2,5,4,3]=>[3,4,5,2,7,1,6]=>[5,4,3,6,1,7,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,1,7,3,2,4,5]=>[5,4,2,3,7,1,6]=>[3,4,6,5,1,7,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[6,1,7,3,2,5,4]=>[4,5,2,3,7,1,6]=>[4,3,6,5,1,7,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,1,7,3,4,2,5]=>[5,2,4,3,7,1,6]=>[3,6,4,5,1,7,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,1,7,3,4,5,2]=>[2,5,4,3,7,1,6]=>[6,3,4,5,1,7,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,1,7,3,5,2,4]=>[4,2,5,3,7,1,6]=>[4,6,3,5,1,7,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,1,7,3,5,4,2]=>[2,4,5,3,7,1,6]=>[6,4,3,5,1,7,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,1,7,4,2,3,5]=>[5,3,2,4,7,1,6]=>[3,5,6,4,1,7,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[6,1,7,4,2,5,3]=>[3,5,2,4,7,1,6]=>[5,3,6,4,1,7,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,1,7,4,3,2,5]=>[5,2,3,4,7,1,6]=>[3,6,5,4,1,7,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[6,1,7,4,3,5,2]=>[2,5,3,4,7,1,6]=>[6,3,5,4,1,7,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,1,7,4,5,2,3]=>[3,2,5,4,7,1,6]=>[5,6,3,4,1,7,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,1,7,4,5,3,2]=>[2,3,5,4,7,1,6]=>[6,5,3,4,1,7,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,1,7,5,2,3,4]=>[4,3,2,5,7,1,6]=>[4,5,6,3,1,7,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[6,1,7,5,2,4,3]=>[3,4,2,5,7,1,6]=>[5,4,6,3,1,7,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,1,7,5,3,2,4]=>[4,2,3,5,7,1,6]=>[4,6,5,3,1,7,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[6,1,7,5,3,4,2]=>[2,4,3,5,7,1,6]=>[6,4,5,3,1,7,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,1,7,5,4,2,3]=>[3,2,4,5,7,1,6]=>[5,6,4,3,1,7,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[6,1,7,5,4,3,2]=>[2,3,4,5,7,1,6]=>[6,5,4,3,1,7,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[6,2,1,3,4,5,7]=>[7,5,4,3,1,2,6]=>[1,3,4,5,7,6,2]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[6,2,1,3,4,7,5]=>[5,7,4,3,1,2,6]=>[3,1,4,5,7,6,2]=>[[.,.],[[.,[.,[[.,.],.]]],.]]
[6,2,1,3,5,4,7]=>[7,4,5,3,1,2,6]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[6,2,1,3,5,7,4]=>[4,7,5,3,1,2,6]=>[4,1,3,5,7,6,2]=>[[.,.],[[.,[.,[[.,.],.]]],.]]
[6,2,1,3,7,4,5]=>[5,4,7,3,1,2,6]=>[3,4,1,5,7,6,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[6,2,1,3,7,5,4]=>[4,5,7,3,1,2,6]=>[4,3,1,5,7,6,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[6,2,1,4,3,5,7]=>[7,5,3,4,1,2,6]=>[1,3,5,4,7,6,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[6,2,1,4,3,7,5]=>[5,7,3,4,1,2,6]=>[3,1,5,4,7,6,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[6,2,1,4,5,3,7]=>[7,3,5,4,1,2,6]=>[1,5,3,4,7,6,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[6,2,1,4,5,7,3]=>[3,7,5,4,1,2,6]=>[5,1,3,4,7,6,2]=>[[.,.],[[.,[.,[[.,.],.]]],.]]
[6,2,1,4,7,3,5]=>[5,3,7,4,1,2,6]=>[3,5,1,4,7,6,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[6,2,1,4,7,5,3]=>[3,5,7,4,1,2,6]=>[5,3,1,4,7,6,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[6,2,1,5,3,4,7]=>[7,4,3,5,1,2,6]=>[1,4,5,3,7,6,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[6,2,1,5,3,7,4]=>[4,7,3,5,1,2,6]=>[4,1,5,3,7,6,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[6,2,1,5,4,3,7]=>[7,3,4,5,1,2,6]=>[1,5,4,3,7,6,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]
[6,2,1,5,4,7,3]=>[3,7,4,5,1,2,6]=>[5,1,4,3,7,6,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[6,2,1,5,7,3,4]=>[4,3,7,5,1,2,6]=>[4,5,1,3,7,6,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[6,2,1,5,7,4,3]=>[3,4,7,5,1,2,6]=>[5,4,1,3,7,6,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[6,2,1,7,3,4,5]=>[5,4,3,7,1,2,6]=>[3,4,5,1,7,6,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[6,2,1,7,3,5,4]=>[4,5,3,7,1,2,6]=>[4,3,5,1,7,6,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,2,1,7,4,3,5]=>[5,3,4,7,1,2,6]=>[3,5,4,1,7,6,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,2,1,7,4,5,3]=>[3,5,4,7,1,2,6]=>[5,3,4,1,7,6,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,2,1,7,5,3,4]=>[4,3,5,7,1,2,6]=>[4,5,3,1,7,6,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,2,1,7,5,4,3]=>[3,4,5,7,1,2,6]=>[5,4,3,1,7,6,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,2,3,1,4,5,7]=>[7,5,4,1,3,2,6]=>[1,3,4,7,5,6,2]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,2,3,1,4,7,5]=>[5,7,4,1,3,2,6]=>[3,1,4,7,5,6,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[6,2,3,1,5,4,7]=>[7,4,5,1,3,2,6]=>[1,4,3,7,5,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,2,3,1,5,7,4]=>[4,7,5,1,3,2,6]=>[4,1,3,7,5,6,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[6,2,3,1,7,4,5]=>[5,4,7,1,3,2,6]=>[3,4,1,7,5,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,2,3,1,7,5,4]=>[4,5,7,1,3,2,6]=>[4,3,1,7,5,6,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,2,3,4,1,5,7]=>[7,5,1,4,3,2,6]=>[1,3,7,4,5,6,2]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,2,3,4,1,7,5]=>[5,7,1,4,3,2,6]=>[3,1,7,4,5,6,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[6,2,3,4,5,1,7]=>[7,1,5,4,3,2,6]=>[1,7,3,4,5,6,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,2,3,4,5,7,1]=>[1,7,5,4,3,2,6]=>[7,1,3,4,5,6,2]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[6,2,3,4,7,1,5]=>[5,1,7,4,3,2,6]=>[3,7,1,4,5,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[6,2,3,4,7,5,1]=>[1,5,7,4,3,2,6]=>[7,3,1,4,5,6,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[6,2,3,5,1,4,7]=>[7,4,1,5,3,2,6]=>[1,4,7,3,5,6,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,2,3,5,1,7,4]=>[4,7,1,5,3,2,6]=>[4,1,7,3,5,6,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[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]=>[7,1,4,3,5,6,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[6,2,3,5,7,1,4]=>[4,1,7,5,3,2,6]=>[4,7,1,3,5,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[6,2,3,5,7,4,1]=>[1,4,7,5,3,2,6]=>[7,4,1,3,5,6,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[6,2,3,7,1,4,5]=>[5,4,1,7,3,2,6]=>[3,4,7,1,5,6,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,2,3,7,1,5,4]=>[4,5,1,7,3,2,6]=>[4,3,7,1,5,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,2,3,7,4,1,5]=>[5,1,4,7,3,2,6]=>[3,7,4,1,5,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[6,2,3,7,4,5,1]=>[1,5,4,7,3,2,6]=>[7,3,4,1,5,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,2,3,7,5,1,4]=>[4,1,5,7,3,2,6]=>[4,7,3,1,5,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[6,2,3,7,5,4,1]=>[1,4,5,7,3,2,6]=>[7,4,3,1,5,6,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[6,2,4,1,3,5,7]=>[7,5,3,1,4,2,6]=>[1,3,5,7,4,6,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,2,4,1,3,7,5]=>[5,7,3,1,4,2,6]=>[3,1,5,7,4,6,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[6,2,4,1,5,3,7]=>[7,3,5,1,4,2,6]=>[1,5,3,7,4,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,2,4,1,5,7,3]=>[3,7,5,1,4,2,6]=>[5,1,3,7,4,6,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[6,2,4,1,7,3,5]=>[5,3,7,1,4,2,6]=>[3,5,1,7,4,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,2,4,1,7,5,3]=>[3,5,7,1,4,2,6]=>[5,3,1,7,4,6,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,2,4,3,1,5,7]=>[7,5,1,3,4,2,6]=>[1,3,7,5,4,6,2]=>[.,[[.,[[[.,.],.],[.,.]]],.]]
[6,2,4,3,1,7,5]=>[5,7,1,3,4,2,6]=>[3,1,7,5,4,6,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[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]=>[7,1,3,5,4,6,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[6,2,4,3,7,1,5]=>[5,1,7,3,4,2,6]=>[3,7,1,5,4,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,2,4,3,7,5,1]=>[1,5,7,3,4,2,6]=>[7,3,1,5,4,6,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,2,4,5,1,3,7]=>[7,3,1,5,4,2,6]=>[1,5,7,3,4,6,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,2,4,5,1,7,3]=>[3,7,1,5,4,2,6]=>[5,1,7,3,4,6,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[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]=>[7,1,5,3,4,6,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[6,2,4,5,7,1,3]=>[3,1,7,5,4,2,6]=>[5,7,1,3,4,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[6,2,4,5,7,3,1]=>[1,3,7,5,4,2,6]=>[7,5,1,3,4,6,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[6,2,4,7,1,3,5]=>[5,3,1,7,4,2,6]=>[3,5,7,1,4,6,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,2,4,7,1,5,3]=>[3,5,1,7,4,2,6]=>[5,3,7,1,4,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,2,4,7,3,1,5]=>[5,1,3,7,4,2,6]=>[3,7,5,1,4,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[6,2,4,7,3,5,1]=>[1,5,3,7,4,2,6]=>[7,3,5,1,4,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,2,4,7,5,1,3]=>[3,1,5,7,4,2,6]=>[5,7,3,1,4,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[6,2,4,7,5,3,1]=>[1,3,5,7,4,2,6]=>[7,5,3,1,4,6,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[6,2,5,1,3,4,7]=>[7,4,3,1,5,2,6]=>[1,4,5,7,3,6,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[6,2,5,1,3,7,4]=>[4,7,3,1,5,2,6]=>[4,1,5,7,3,6,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[6,2,5,1,4,3,7]=>[7,3,4,1,5,2,6]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,2,5,1,4,7,3]=>[3,7,4,1,5,2,6]=>[5,1,4,7,3,6,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[6,2,5,1,7,3,4]=>[4,3,7,1,5,2,6]=>[4,5,1,7,3,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,2,5,1,7,4,3]=>[3,4,7,1,5,2,6]=>[5,4,1,7,3,6,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,2,5,3,1,4,7]=>[7,4,1,3,5,2,6]=>[1,4,7,5,3,6,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[6,2,5,3,1,7,4]=>[4,7,1,3,5,2,6]=>[4,1,7,5,3,6,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[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]=>[7,1,4,5,3,6,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[6,2,5,3,7,1,4]=>[4,1,7,3,5,2,6]=>[4,7,1,5,3,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,2,5,3,7,4,1]=>[1,4,7,3,5,2,6]=>[7,4,1,5,3,6,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,2,5,4,1,3,7]=>[7,3,1,4,5,2,6]=>[1,5,7,4,3,6,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[6,2,5,4,1,7,3]=>[3,7,1,4,5,2,6]=>[5,1,7,4,3,6,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[6,2,5,4,3,1,7]=>[7,1,3,4,5,2,6]=>[1,7,5,4,3,6,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]
[6,2,5,4,3,7,1]=>[1,7,3,4,5,2,6]=>[7,1,5,4,3,6,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[6,2,5,4,7,1,3]=>[3,1,7,4,5,2,6]=>[5,7,1,4,3,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,2,5,4,7,3,1]=>[1,3,7,4,5,2,6]=>[7,5,1,4,3,6,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,2,5,7,1,3,4]=>[4,3,1,7,5,2,6]=>[4,5,7,1,3,6,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,2,5,7,1,4,3]=>[3,4,1,7,5,2,6]=>[5,4,7,1,3,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,2,5,7,3,1,4]=>[4,1,3,7,5,2,6]=>[4,7,5,1,3,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[6,2,5,7,3,4,1]=>[1,4,3,7,5,2,6]=>[7,4,5,1,3,6,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,2,5,7,4,1,3]=>[3,1,4,7,5,2,6]=>[5,7,4,1,3,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[6,2,5,7,4,3,1]=>[1,3,4,7,5,2,6]=>[7,5,4,1,3,6,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[6,2,7,1,3,4,5]=>[5,4,3,1,7,2,6]=>[3,4,5,7,1,6,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[6,2,7,1,3,5,4]=>[4,5,3,1,7,2,6]=>[4,3,5,7,1,6,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,2,7,1,4,3,5]=>[5,3,4,1,7,2,6]=>[3,5,4,7,1,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,2,7,1,4,5,3]=>[3,5,4,1,7,2,6]=>[5,3,4,7,1,6,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,2,7,1,5,3,4]=>[4,3,5,1,7,2,6]=>[4,5,3,7,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,2,7,1,5,4,3]=>[3,4,5,1,7,2,6]=>[5,4,3,7,1,6,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,2,7,3,1,4,5]=>[5,4,1,3,7,2,6]=>[3,4,7,5,1,6,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[6,2,7,3,1,5,4]=>[4,5,1,3,7,2,6]=>[4,3,7,5,1,6,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,2,7,3,4,1,5]=>[5,1,4,3,7,2,6]=>[3,7,4,5,1,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,2,7,3,4,5,1]=>[1,5,4,3,7,2,6]=>[7,3,4,5,1,6,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,2,7,3,5,1,4]=>[4,1,5,3,7,2,6]=>[4,7,3,5,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,2,7,3,5,4,1]=>[1,4,5,3,7,2,6]=>[7,4,3,5,1,6,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,2,7,4,1,3,5]=>[5,3,1,4,7,2,6]=>[3,5,7,4,1,6,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[6,2,7,4,1,5,3]=>[3,5,1,4,7,2,6]=>[5,3,7,4,1,6,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,2,7,4,3,1,5]=>[5,1,3,4,7,2,6]=>[3,7,5,4,1,6,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[6,2,7,4,3,5,1]=>[1,5,3,4,7,2,6]=>[7,3,5,4,1,6,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,2,7,4,5,1,3]=>[3,1,5,4,7,2,6]=>[5,7,3,4,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,2,7,4,5,3,1]=>[1,3,5,4,7,2,6]=>[7,5,3,4,1,6,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,2,7,5,1,3,4]=>[4,3,1,5,7,2,6]=>[4,5,7,3,1,6,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[6,2,7,5,1,4,3]=>[3,4,1,5,7,2,6]=>[5,4,7,3,1,6,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,2,7,5,3,1,4]=>[4,1,3,5,7,2,6]=>[4,7,5,3,1,6,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[6,2,7,5,3,4,1]=>[1,4,3,5,7,2,6]=>[7,4,5,3,1,6,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[6,2,7,5,4,3,1]=>[1,3,4,5,7,2,6]=>[7,5,4,3,1,6,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[6,3,1,2,4,5,7]=>[7,5,4,2,1,3,6]=>[1,3,4,6,7,5,2]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[6,3,1,2,4,7,5]=>[5,7,4,2,1,3,6]=>[3,1,4,6,7,5,2]=>[[.,.],[[.,[[.,[.,.]],.]],.]]
[6,3,1,2,5,4,7]=>[7,4,5,2,1,3,6]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[6,3,1,2,5,7,4]=>[4,7,5,2,1,3,6]=>[4,1,3,6,7,5,2]=>[[.,.],[[.,[[.,[.,.]],.]],.]]
[6,3,1,2,7,4,5]=>[5,4,7,2,1,3,6]=>[3,4,1,6,7,5,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[6,3,1,2,7,5,4]=>[4,5,7,2,1,3,6]=>[4,3,1,6,7,5,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[6,3,1,4,2,5,7]=>[7,5,2,4,1,3,6]=>[1,3,6,4,7,5,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[6,3,1,4,2,7,5]=>[5,7,2,4,1,3,6]=>[3,1,6,4,7,5,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[6,3,1,4,5,2,7]=>[7,2,5,4,1,3,6]=>[1,6,3,4,7,5,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[6,3,1,4,5,7,2]=>[2,7,5,4,1,3,6]=>[6,1,3,4,7,5,2]=>[[.,.],[[.,[.,[[.,.],.]]],.]]
[6,3,1,4,7,2,5]=>[5,2,7,4,1,3,6]=>[3,6,1,4,7,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[6,3,1,4,7,5,2]=>[2,5,7,4,1,3,6]=>[6,3,1,4,7,5,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[6,3,1,5,2,4,7]=>[7,4,2,5,1,3,6]=>[1,4,6,3,7,5,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[6,3,1,5,2,7,4]=>[4,7,2,5,1,3,6]=>[4,1,6,3,7,5,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[6,3,1,5,4,2,7]=>[7,2,4,5,1,3,6]=>[1,6,4,3,7,5,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]
[6,3,1,5,4,7,2]=>[2,7,4,5,1,3,6]=>[6,1,4,3,7,5,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[6,3,1,5,7,2,4]=>[4,2,7,5,1,3,6]=>[4,6,1,3,7,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[6,3,1,5,7,4,2]=>[2,4,7,5,1,3,6]=>[6,4,1,3,7,5,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[6,3,1,7,2,4,5]=>[5,4,2,7,1,3,6]=>[3,4,6,1,7,5,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[6,3,1,7,2,5,4]=>[4,5,2,7,1,3,6]=>[4,3,6,1,7,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,3,1,7,4,2,5]=>[5,2,4,7,1,3,6]=>[3,6,4,1,7,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,3,1,7,4,5,2]=>[2,5,4,7,1,3,6]=>[6,3,4,1,7,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,3,1,7,5,2,4]=>[4,2,5,7,1,3,6]=>[4,6,3,1,7,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,3,1,7,5,4,2]=>[2,4,5,7,1,3,6]=>[6,4,3,1,7,5,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,3,2,1,4,5,7]=>[7,5,4,1,2,3,6]=>[1,3,4,7,6,5,2]=>[.,[[.,[.,[[[.,.],.],.]]],.]]
[6,3,2,1,4,7,5]=>[5,7,4,1,2,3,6]=>[3,1,4,7,6,5,2]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[6,3,2,1,5,4,7]=>[7,4,5,1,2,3,6]=>[1,4,3,7,6,5,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[6,3,2,1,5,7,4]=>[4,7,5,1,2,3,6]=>[4,1,3,7,6,5,2]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[6,3,2,1,7,4,5]=>[5,4,7,1,2,3,6]=>[3,4,1,7,6,5,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,3,2,1,7,5,4]=>[4,5,7,1,2,3,6]=>[4,3,1,7,6,5,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,3,2,4,1,5,7]=>[7,5,1,4,2,3,6]=>[1,3,7,4,6,5,2]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[6,3,2,4,1,7,5]=>[5,7,1,4,2,3,6]=>[3,1,7,4,6,5,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[6,3,2,4,5,1,7]=>[7,1,5,4,2,3,6]=>[1,7,3,4,6,5,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[6,3,2,4,5,7,1]=>[1,7,5,4,2,3,6]=>[7,1,3,4,6,5,2]=>[[.,.],[[.,[.,[[.,.],.]]],.]]
[6,3,2,4,7,1,5]=>[5,1,7,4,2,3,6]=>[3,7,1,4,6,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[6,3,2,4,7,5,1]=>[1,5,7,4,2,3,6]=>[7,3,1,4,6,5,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[6,3,2,5,1,4,7]=>[7,4,1,5,2,3,6]=>[1,4,7,3,6,5,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[6,3,2,5,1,7,4]=>[4,7,1,5,2,3,6]=>[4,1,7,3,6,5,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[6,3,2,5,4,1,7]=>[7,1,4,5,2,3,6]=>[1,7,4,3,6,5,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]
[6,3,2,5,4,7,1]=>[1,7,4,5,2,3,6]=>[7,1,4,3,6,5,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[6,3,2,5,7,1,4]=>[4,1,7,5,2,3,6]=>[4,7,1,3,6,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[6,3,2,5,7,4,1]=>[1,4,7,5,2,3,6]=>[7,4,1,3,6,5,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[6,3,2,7,1,4,5]=>[5,4,1,7,2,3,6]=>[3,4,7,1,6,5,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[6,3,2,7,1,5,4]=>[4,5,1,7,2,3,6]=>[4,3,7,1,6,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,3,2,7,4,1,5]=>[5,1,4,7,2,3,6]=>[3,7,4,1,6,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,3,2,7,4,5,1]=>[1,5,4,7,2,3,6]=>[7,3,4,1,6,5,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,3,2,7,5,4,1]=>[1,4,5,7,2,3,6]=>[7,4,3,1,6,5,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,3,4,1,2,5,7]=>[7,5,2,1,4,3,6]=>[1,3,6,7,4,5,2]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,3,4,1,2,7,5]=>[5,7,2,1,4,3,6]=>[3,1,6,7,4,5,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[6,3,4,1,5,2,7]=>[7,2,5,1,4,3,6]=>[1,6,3,7,4,5,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,3,4,1,5,7,2]=>[2,7,5,1,4,3,6]=>[6,1,3,7,4,5,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[6,3,4,1,7,2,5]=>[5,2,7,1,4,3,6]=>[3,6,1,7,4,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,3,4,1,7,5,2]=>[2,5,7,1,4,3,6]=>[6,3,1,7,4,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,3,4,2,1,5,7]=>[7,5,1,2,4,3,6]=>[1,3,7,6,4,5,2]=>[.,[[.,[[[.,.],.],[.,.]]],.]]
[6,3,4,2,1,7,5]=>[5,7,1,2,4,3,6]=>[3,1,7,6,4,5,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[6,3,4,2,5,1,7]=>[7,1,5,2,4,3,6]=>[1,7,3,6,4,5,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,3,4,2,5,7,1]=>[1,7,5,2,4,3,6]=>[7,1,3,6,4,5,2]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[6,3,4,2,7,1,5]=>[5,1,7,2,4,3,6]=>[3,7,1,6,4,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,3,4,2,7,5,1]=>[1,5,7,2,4,3,6]=>[7,3,1,6,4,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,3,4,5,1,2,7]=>[7,2,1,5,4,3,6]=>[1,6,7,3,4,5,2]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,3,4,5,1,7,2]=>[2,7,1,5,4,3,6]=>[6,1,7,3,4,5,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[6,3,4,5,2,1,7]=>[7,1,2,5,4,3,6]=>[1,7,6,3,4,5,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6]=>[7,1,6,3,4,5,2]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[6,3,4,5,7,1,2]=>[2,1,7,5,4,3,6]=>[6,7,1,3,4,5,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[6,3,4,5,7,2,1]=>[1,2,7,5,4,3,6]=>[7,6,1,3,4,5,2]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[6,3,4,7,1,2,5]=>[5,2,1,7,4,3,6]=>[3,6,7,1,4,5,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,3,4,7,1,5,2]=>[2,5,1,7,4,3,6]=>[6,3,7,1,4,5,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,3,4,7,2,1,5]=>[5,1,2,7,4,3,6]=>[3,7,6,1,4,5,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6]=>[7,3,6,1,4,5,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,3,4,7,5,1,2]=>[2,1,5,7,4,3,6]=>[6,7,3,1,4,5,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[6,3,4,7,5,2,1]=>[1,2,5,7,4,3,6]=>[7,6,3,1,4,5,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[6,3,5,1,2,4,7]=>[7,4,2,1,5,3,6]=>[1,4,6,7,3,5,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[6,3,5,1,2,7,4]=>[4,7,2,1,5,3,6]=>[4,1,6,7,3,5,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[6,3,5,1,4,2,7]=>[7,2,4,1,5,3,6]=>[1,6,4,7,3,5,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,3,5,1,4,7,2]=>[2,7,4,1,5,3,6]=>[6,1,4,7,3,5,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[6,3,5,1,7,2,4]=>[4,2,7,1,5,3,6]=>[4,6,1,7,3,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,3,5,1,7,4,2]=>[2,4,7,1,5,3,6]=>[6,4,1,7,3,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,3,5,2,1,4,7]=>[7,4,1,2,5,3,6]=>[1,4,7,6,3,5,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[6,3,5,2,1,7,4]=>[4,7,1,2,5,3,6]=>[4,1,7,6,3,5,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[6,3,5,2,4,1,7]=>[7,1,4,2,5,3,6]=>[1,7,4,6,3,5,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,3,5,2,4,7,1]=>[1,7,4,2,5,3,6]=>[7,1,4,6,3,5,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[6,3,5,2,7,1,4]=>[4,1,7,2,5,3,6]=>[4,7,1,6,3,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,3,5,2,7,4,1]=>[1,4,7,2,5,3,6]=>[7,4,1,6,3,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,3,5,4,1,2,7]=>[7,2,1,4,5,3,6]=>[1,6,7,4,3,5,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[6,3,5,4,1,7,2]=>[2,7,1,4,5,3,6]=>[6,1,7,4,3,5,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[6,3,5,4,2,1,7]=>[7,1,2,4,5,3,6]=>[1,7,6,4,3,5,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]
[6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6]=>[7,1,6,4,3,5,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[6,3,5,4,7,1,2]=>[2,1,7,4,5,3,6]=>[6,7,1,4,3,5,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,3,5,4,7,2,1]=>[1,2,7,4,5,3,6]=>[7,6,1,4,3,5,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,3,5,7,1,2,4]=>[4,2,1,7,5,3,6]=>[4,6,7,1,3,5,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,3,5,7,1,4,2]=>[2,4,1,7,5,3,6]=>[6,4,7,1,3,5,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,3,5,7,2,1,4]=>[4,1,2,7,5,3,6]=>[4,7,6,1,3,5,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[6,3,5,7,2,4,1]=>[1,4,2,7,5,3,6]=>[7,4,6,1,3,5,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,3,5,7,4,1,2]=>[2,1,4,7,5,3,6]=>[6,7,4,1,3,5,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[6,3,5,7,4,2,1]=>[1,2,4,7,5,3,6]=>[7,6,4,1,3,5,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[6,3,7,1,2,4,5]=>[5,4,2,1,7,3,6]=>[3,4,6,7,1,5,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[6,3,7,1,2,5,4]=>[4,5,2,1,7,3,6]=>[4,3,6,7,1,5,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,3,7,1,4,2,5]=>[5,2,4,1,7,3,6]=>[3,6,4,7,1,5,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,3,7,1,4,5,2]=>[2,5,4,1,7,3,6]=>[6,3,4,7,1,5,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,3,7,1,5,2,4]=>[4,2,5,1,7,3,6]=>[4,6,3,7,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,3,7,1,5,4,2]=>[2,4,5,1,7,3,6]=>[6,4,3,7,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,3,7,2,1,4,5]=>[5,4,1,2,7,3,6]=>[3,4,7,6,1,5,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[6,3,7,2,1,5,4]=>[4,5,1,2,7,3,6]=>[4,3,7,6,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,3,7,2,4,1,5]=>[5,1,4,2,7,3,6]=>[3,7,4,6,1,5,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,3,7,2,4,5,1]=>[1,5,4,2,7,3,6]=>[7,3,4,6,1,5,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,3,7,2,5,1,4]=>[4,1,5,2,7,3,6]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,3,7,2,5,4,1]=>[1,4,5,2,7,3,6]=>[7,4,3,6,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,3,7,4,1,2,5]=>[5,2,1,4,7,3,6]=>[3,6,7,4,1,5,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[6,3,7,4,1,5,2]=>[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,3,7,4,2,1,5]=>[5,1,2,4,7,3,6]=>[3,7,6,4,1,5,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[6,3,7,4,2,5,1]=>[1,5,2,4,7,3,6]=>[7,3,6,4,1,5,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,3,7,4,5,1,2]=>[2,1,5,4,7,3,6]=>[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,3,7,4,5,2,1]=>[1,2,5,4,7,3,6]=>[7,6,3,4,1,5,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,3,7,5,1,2,4]=>[4,2,1,5,7,3,6]=>[4,6,7,3,1,5,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[6,3,7,5,1,4,2]=>[2,4,1,5,7,3,6]=>[6,4,7,3,1,5,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,3,7,5,2,1,4]=>[4,1,2,5,7,3,6]=>[4,7,6,3,1,5,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6]=>[7,4,6,3,1,5,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,3,7,5,4,1,2]=>[2,1,4,5,7,3,6]=>[6,7,4,3,1,5,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[6,3,7,5,4,2,1]=>[1,2,4,5,7,3,6]=>[7,6,4,3,1,5,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[6,4,1,2,3,5,7]=>[7,5,3,2,1,4,6]=>[1,3,5,6,7,4,2]=>[.,[[.,[[.,[.,[.,.]]],.]],.]]
[6,4,1,2,3,7,5]=>[5,7,3,2,1,4,6]=>[3,1,5,6,7,4,2]=>[[.,.],[[[.,[.,[.,.]]],.],.]]
[6,4,1,2,5,3,7]=>[7,3,5,2,1,4,6]=>[1,5,3,6,7,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[6,4,1,2,5,7,3]=>[3,7,5,2,1,4,6]=>[5,1,3,6,7,4,2]=>[[.,.],[[.,[[.,[.,.]],.]],.]]
[6,4,1,2,7,3,5]=>[5,3,7,2,1,4,6]=>[3,5,1,6,7,4,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[6,4,1,2,7,5,3]=>[3,5,7,2,1,4,6]=>[5,3,1,6,7,4,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[6,4,1,3,2,5,7]=>[7,5,2,3,1,4,6]=>[1,3,6,5,7,4,2]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[6,4,1,3,2,7,5]=>[5,7,2,3,1,4,6]=>[3,1,6,5,7,4,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[6,4,1,3,5,2,7]=>[7,2,5,3,1,4,6]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[6,4,1,3,5,7,2]=>[2,7,5,3,1,4,6]=>[6,1,3,5,7,4,2]=>[[.,.],[[.,[[.,[.,.]],.]],.]]
[6,4,1,3,7,2,5]=>[5,2,7,3,1,4,6]=>[3,6,1,5,7,4,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[6,4,1,3,7,5,2]=>[2,5,7,3,1,4,6]=>[6,3,1,5,7,4,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[6,4,1,5,2,3,7]=>[7,3,2,5,1,4,6]=>[1,5,6,3,7,4,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[6,4,1,5,2,7,3]=>[3,7,2,5,1,4,6]=>[5,1,6,3,7,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[6,4,1,5,3,2,7]=>[7,2,3,5,1,4,6]=>[1,6,5,3,7,4,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]
[6,4,1,5,3,7,2]=>[2,7,3,5,1,4,6]=>[6,1,5,3,7,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[6,4,1,5,7,2,3]=>[3,2,7,5,1,4,6]=>[5,6,1,3,7,4,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[6,4,1,5,7,3,2]=>[2,3,7,5,1,4,6]=>[6,5,1,3,7,4,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[6,4,1,7,2,3,5]=>[5,3,2,7,1,4,6]=>[3,5,6,1,7,4,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[6,4,1,7,2,5,3]=>[3,5,2,7,1,4,6]=>[5,3,6,1,7,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,4,1,7,3,2,5]=>[5,2,3,7,1,4,6]=>[3,6,5,1,7,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,4,1,7,3,5,2]=>[2,5,3,7,1,4,6]=>[6,3,5,1,7,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,4,1,7,5,2,3]=>[3,2,5,7,1,4,6]=>[5,6,3,1,7,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,4,1,7,5,3,2]=>[2,3,5,7,1,4,6]=>[6,5,3,1,7,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[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]=>[3,1,5,7,6,4,2]=>[[.,.],[[[.,[[.,.],.]],.],.]]
[6,4,2,1,5,3,7]=>[7,3,5,1,2,4,6]=>[1,5,3,7,6,4,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[6,4,2,1,5,7,3]=>[3,7,5,1,2,4,6]=>[5,1,3,7,6,4,2]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[6,4,2,1,7,3,5]=>[5,3,7,1,2,4,6]=>[3,5,1,7,6,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,4,2,1,7,5,3]=>[3,5,7,1,2,4,6]=>[5,3,1,7,6,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[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]=>[3,1,7,5,6,4,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[6,4,2,3,5,1,7]=>[7,1,5,3,2,4,6]=>[1,7,3,5,6,4,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[6,4,2,3,5,7,1]=>[1,7,5,3,2,4,6]=>[7,1,3,5,6,4,2]=>[[.,.],[[.,[[.,[.,.]],.]],.]]
[6,4,2,3,7,1,5]=>[5,1,7,3,2,4,6]=>[3,7,1,5,6,4,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[6,4,2,3,7,5,1]=>[1,5,7,3,2,4,6]=>[7,3,1,5,6,4,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[6,4,2,5,1,3,7]=>[7,3,1,5,2,4,6]=>[1,5,7,3,6,4,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[6,4,2,5,1,7,3]=>[3,7,1,5,2,4,6]=>[5,1,7,3,6,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[6,4,2,5,3,1,7]=>[7,1,3,5,2,4,6]=>[1,7,5,3,6,4,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]
[6,4,2,5,3,7,1]=>[1,7,3,5,2,4,6]=>[7,1,5,3,6,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[6,4,2,5,7,1,3]=>[3,1,7,5,2,4,6]=>[5,7,1,3,6,4,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[6,4,2,5,7,3,1]=>[1,3,7,5,2,4,6]=>[7,5,1,3,6,4,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[6,4,2,7,1,3,5]=>[5,3,1,7,2,4,6]=>[3,5,7,1,6,4,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[6,4,2,7,1,5,3]=>[3,5,1,7,2,4,6]=>[5,3,7,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,4,2,7,3,1,5]=>[5,1,3,7,2,4,6]=>[3,7,5,1,6,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,4,2,7,3,5,1]=>[1,5,3,7,2,4,6]=>[7,3,5,1,6,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,4,2,7,5,1,3]=>[3,1,5,7,2,4,6]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,4,2,7,5,3,1]=>[1,3,5,7,2,4,6]=>[7,5,3,1,6,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,4,3,1,2,5,7]=>[7,5,2,1,3,4,6]=>[1,3,6,7,5,4,2]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[6,4,3,1,2,7,5]=>[5,7,2,1,3,4,6]=>[3,1,6,7,5,4,2]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[6,4,3,1,5,2,7]=>[7,2,5,1,3,4,6]=>[1,6,3,7,5,4,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[6,4,3,1,5,7,2]=>[2,7,5,1,3,4,6]=>[6,1,3,7,5,4,2]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[6,4,3,1,7,2,5]=>[5,2,7,1,3,4,6]=>[3,6,1,7,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,4,3,1,7,5,2]=>[2,5,7,1,3,4,6]=>[6,3,1,7,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,4,3,2,1,5,7]=>[7,5,1,2,3,4,6]=>[1,3,7,6,5,4,2]=>[.,[[.,[[[[.,.],.],.],.]],.]]
[6,4,3,2,1,7,5]=>[5,7,1,2,3,4,6]=>[3,1,7,6,5,4,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[1,7,3,6,5,4,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[6,4,3,2,5,7,1]=>[1,7,5,2,3,4,6]=>[7,1,3,6,5,4,2]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,4,3,2,7,5,1]=>[1,5,7,2,3,4,6]=>[7,3,1,6,5,4,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,4,3,5,1,2,7]=>[7,2,1,5,3,4,6]=>[1,6,7,3,5,4,2]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[6,4,3,5,1,7,2]=>[2,7,1,5,3,4,6]=>[6,1,7,3,5,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[6,4,3,5,2,1,7]=>[7,1,2,5,3,4,6]=>[1,7,6,3,5,4,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]
[6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6]=>[7,1,6,3,5,4,2]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[6,4,3,5,7,1,2]=>[2,1,7,5,3,4,6]=>[6,7,1,3,5,4,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[6,4,3,5,7,2,1]=>[1,2,7,5,3,4,6]=>[7,6,1,3,5,4,2]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[6,4,3,7,1,2,5]=>[5,2,1,7,3,4,6]=>[3,6,7,1,5,4,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[6,4,3,7,1,5,2]=>[2,5,1,7,3,4,6]=>[6,3,7,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,4,3,7,2,1,5]=>[5,1,2,7,3,4,6]=>[3,7,6,1,5,4,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6]=>[7,3,6,1,5,4,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,4,3,7,5,1,2]=>[2,1,5,7,3,4,6]=>[6,7,3,1,5,4,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,4,3,7,5,2,1]=>[1,2,5,7,3,4,6]=>[7,6,3,1,5,4,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,4,5,1,2,3,7]=>[7,3,2,1,5,4,6]=>[1,5,6,7,3,4,2]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[6,4,5,1,2,7,3]=>[3,7,2,1,5,4,6]=>[5,1,6,7,3,4,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[6,4,5,1,3,2,7]=>[7,2,3,1,5,4,6]=>[1,6,5,7,3,4,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,4,5,1,3,7,2]=>[2,7,3,1,5,4,6]=>[6,1,5,7,3,4,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[6,4,5,1,7,2,3]=>[3,2,7,1,5,4,6]=>[5,6,1,7,3,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,4,5,1,7,3,2]=>[2,3,7,1,5,4,6]=>[6,5,1,7,3,4,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,4,5,2,1,3,7]=>[7,3,1,2,5,4,6]=>[1,5,7,6,3,4,2]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[6,4,5,2,1,7,3]=>[3,7,1,2,5,4,6]=>[5,1,7,6,3,4,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6]=>[1,7,5,6,3,4,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,4,5,2,3,7,1]=>[1,7,3,2,5,4,6]=>[7,1,5,6,3,4,2]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[6,4,5,2,7,1,3]=>[3,1,7,2,5,4,6]=>[5,7,1,6,3,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,4,5,2,7,3,1]=>[1,3,7,2,5,4,6]=>[7,5,1,6,3,4,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,4,5,3,1,2,7]=>[7,2,1,3,5,4,6]=>[1,6,7,5,3,4,2]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[6,4,5,3,1,7,2]=>[2,7,1,3,5,4,6]=>[6,1,7,5,3,4,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[6,4,5,3,2,1,7]=>[7,1,2,3,5,4,6]=>[1,7,6,5,3,4,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]
[6,4,5,3,2,7,1]=>[1,7,2,3,5,4,6]=>[7,1,6,5,3,4,2]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[6,4,5,3,7,1,2]=>[2,1,7,3,5,4,6]=>[6,7,1,5,3,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,4,5,3,7,2,1]=>[1,2,7,3,5,4,6]=>[7,6,1,5,3,4,2]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,4,5,7,1,2,3]=>[3,2,1,7,5,4,6]=>[5,6,7,1,3,4,2]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,4,5,7,1,3,2]=>[2,3,1,7,5,4,6]=>[6,5,7,1,3,4,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,4,5,7,2,1,3]=>[3,1,2,7,5,4,6]=>[5,7,6,1,3,4,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[6,4,5,7,2,3,1]=>[1,3,2,7,5,4,6]=>[7,5,6,1,3,4,2]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,4,5,7,3,1,2]=>[2,1,3,7,5,4,6]=>[6,7,5,1,3,4,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[6,4,5,7,3,2,1]=>[1,2,3,7,5,4,6]=>[7,6,5,1,3,4,2]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[6,4,7,1,2,3,5]=>[5,3,2,1,7,4,6]=>[3,5,6,7,1,4,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[6,4,7,1,2,5,3]=>[3,5,2,1,7,4,6]=>[5,3,6,7,1,4,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,4,7,1,3,2,5]=>[5,2,3,1,7,4,6]=>[3,6,5,7,1,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,4,7,1,3,5,2]=>[2,5,3,1,7,4,6]=>[6,3,5,7,1,4,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,4,7,1,5,2,3]=>[3,2,5,1,7,4,6]=>[5,6,3,7,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,4,7,1,5,3,2]=>[2,3,5,1,7,4,6]=>[6,5,3,7,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,4,7,2,1,3,5]=>[5,3,1,2,7,4,6]=>[3,5,7,6,1,4,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[6,4,7,2,1,5,3]=>[3,5,1,2,7,4,6]=>[5,3,7,6,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,4,7,2,3,1,5]=>[5,1,3,2,7,4,6]=>[3,7,5,6,1,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,4,7,2,3,5,1]=>[1,5,3,2,7,4,6]=>[7,3,5,6,1,4,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,4,7,2,5,3,1]=>[1,3,5,2,7,4,6]=>[7,5,3,6,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,4,7,3,1,2,5]=>[5,2,1,3,7,4,6]=>[3,6,7,5,1,4,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[6,4,7,3,1,5,2]=>[2,5,1,3,7,4,6]=>[6,3,7,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,4,7,3,2,1,5]=>[5,1,2,3,7,4,6]=>[3,7,6,5,1,4,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[6,4,7,3,2,5,1]=>[1,5,2,3,7,4,6]=>[7,3,6,5,1,4,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,4,7,3,5,1,2]=>[2,1,5,3,7,4,6]=>[6,7,3,5,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,4,7,3,5,2,1]=>[1,2,5,3,7,4,6]=>[7,6,3,5,1,4,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,4,7,5,1,2,3]=>[3,2,1,5,7,4,6]=>[5,6,7,3,1,4,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[6,4,7,5,1,3,2]=>[2,3,1,5,7,4,6]=>[6,5,7,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,4,7,5,2,1,3]=>[3,1,2,5,7,4,6]=>[5,7,6,3,1,4,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[6,4,7,5,2,3,1]=>[1,3,2,5,7,4,6]=>[7,5,6,3,1,4,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,4,7,5,3,1,2]=>[2,1,3,5,7,4,6]=>[6,7,5,3,1,4,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[6,4,7,5,3,2,1]=>[1,2,3,5,7,4,6]=>[7,6,5,3,1,4,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[6,5,1,2,3,4,7]=>[7,4,3,2,1,5,6]=>[1,4,5,6,7,3,2]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[6,5,1,2,3,7,4]=>[4,7,3,2,1,5,6]=>[4,1,5,6,7,3,2]=>[[.,.],[[[.,[.,[.,.]]],.],.]]
[6,5,1,2,4,3,7]=>[7,3,4,2,1,5,6]=>[1,5,4,6,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[6,5,1,2,4,7,3]=>[3,7,4,2,1,5,6]=>[5,1,4,6,7,3,2]=>[[.,.],[[[.,[.,[.,.]]],.],.]]
[6,5,1,2,7,3,4]=>[4,3,7,2,1,5,6]=>[4,5,1,6,7,3,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[6,5,1,2,7,4,3]=>[3,4,7,2,1,5,6]=>[5,4,1,6,7,3,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[6,5,1,3,2,4,7]=>[7,4,2,3,1,5,6]=>[1,4,6,5,7,3,2]=>[.,[[[.,[[.,.],[.,.]]],.],.]]
[6,5,1,3,2,7,4]=>[4,7,2,3,1,5,6]=>[4,1,6,5,7,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[6,5,1,3,4,2,7]=>[7,2,4,3,1,5,6]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[6,5,1,3,4,7,2]=>[2,7,4,3,1,5,6]=>[6,1,4,5,7,3,2]=>[[.,.],[[[.,[.,[.,.]]],.],.]]
[6,5,1,3,7,2,4]=>[4,2,7,3,1,5,6]=>[4,6,1,5,7,3,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[6,5,1,3,7,4,2]=>[2,4,7,3,1,5,6]=>[6,4,1,5,7,3,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[6,5,1,4,2,3,7]=>[7,3,2,4,1,5,6]=>[1,5,6,4,7,3,2]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[6,5,1,4,2,7,3]=>[3,7,2,4,1,5,6]=>[5,1,6,4,7,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[6,5,1,4,3,2,7]=>[7,2,3,4,1,5,6]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[6,5,1,4,3,7,2]=>[2,7,3,4,1,5,6]=>[6,1,5,4,7,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[6,5,1,4,7,2,3]=>[3,2,7,4,1,5,6]=>[5,6,1,4,7,3,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[6,5,1,4,7,3,2]=>[2,3,7,4,1,5,6]=>[6,5,1,4,7,3,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[6,5,1,7,2,3,4]=>[4,3,2,7,1,5,6]=>[4,5,6,1,7,3,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[6,5,1,7,2,4,3]=>[3,4,2,7,1,5,6]=>[5,4,6,1,7,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,5,1,7,3,2,4]=>[4,2,3,7,1,5,6]=>[4,6,5,1,7,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,5,1,7,3,4,2]=>[2,4,3,7,1,5,6]=>[6,4,5,1,7,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,5,1,7,4,2,3]=>[3,2,4,7,1,5,6]=>[5,6,4,1,7,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,5,1,7,4,3,2]=>[2,3,4,7,1,5,6]=>[6,5,4,1,7,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[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]=>[4,1,5,7,6,3,2]=>[[.,.],[[[.,[[.,.],.]],.],.]]
[6,5,2,1,4,3,7]=>[7,3,4,1,2,5,6]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[6,5,2,1,4,7,3]=>[3,7,4,1,2,5,6]=>[5,1,4,7,6,3,2]=>[[.,.],[[[.,[[.,.],.]],.],.]]
[6,5,2,1,7,3,4]=>[4,3,7,1,2,5,6]=>[4,5,1,7,6,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,5,2,1,7,4,3]=>[3,4,7,1,2,5,6]=>[5,4,1,7,6,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[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]=>[4,1,7,5,6,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[6,5,2,3,4,1,7]=>[7,1,4,3,2,5,6]=>[1,7,4,5,6,3,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[6,5,2,3,4,7,1]=>[1,7,4,3,2,5,6]=>[7,1,4,5,6,3,2]=>[[.,.],[[[.,[.,[.,.]]],.],.]]
[6,5,2,3,7,1,4]=>[4,1,7,3,2,5,6]=>[4,7,1,5,6,3,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[6,5,2,3,7,4,1]=>[1,4,7,3,2,5,6]=>[7,4,1,5,6,3,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[6,5,2,4,1,3,7]=>[7,3,1,4,2,5,6]=>[1,5,7,4,6,3,2]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[6,5,2,4,1,7,3]=>[3,7,1,4,2,5,6]=>[5,1,7,4,6,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[6,5,2,4,3,1,7]=>[7,1,3,4,2,5,6]=>[1,7,5,4,6,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[6,5,2,4,3,7,1]=>[1,7,3,4,2,5,6]=>[7,1,5,4,6,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[6,5,2,4,7,1,3]=>[3,1,7,4,2,5,6]=>[5,7,1,4,6,3,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[6,5,2,4,7,3,1]=>[1,3,7,4,2,5,6]=>[7,5,1,4,6,3,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[6,5,2,7,1,3,4]=>[4,3,1,7,2,5,6]=>[4,5,7,1,6,3,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[6,5,2,7,1,4,3]=>[3,4,1,7,2,5,6]=>[5,4,7,1,6,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,5,2,7,3,1,4]=>[4,1,3,7,2,5,6]=>[4,7,5,1,6,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,5,2,7,3,4,1]=>[1,4,3,7,2,5,6]=>[7,4,5,1,6,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,5,2,7,4,1,3]=>[3,1,4,7,2,5,6]=>[5,7,4,1,6,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,5,2,7,4,3,1]=>[1,3,4,7,2,5,6]=>[7,5,4,1,6,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,5,3,1,2,4,7]=>[7,4,2,1,3,5,6]=>[1,4,6,7,5,3,2]=>[.,[[[.,[[.,[.,.]],.]],.],.]]
[6,5,3,1,2,7,4]=>[4,7,2,1,3,5,6]=>[4,1,6,7,5,3,2]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[6,5,3,1,4,2,7]=>[7,2,4,1,3,5,6]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[6,5,3,1,4,7,2]=>[2,7,4,1,3,5,6]=>[6,1,4,7,5,3,2]=>[[.,.],[[[.,[[.,.],.]],.],.]]
[6,5,3,1,7,2,4]=>[4,2,7,1,3,5,6]=>[4,6,1,7,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,5,3,1,7,4,2]=>[2,4,7,1,3,5,6]=>[6,4,1,7,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,5,3,2,1,4,7]=>[7,4,1,2,3,5,6]=>[1,4,7,6,5,3,2]=>[.,[[[.,[[[.,.],.],.]],.],.]]
[6,5,3,2,1,7,4]=>[4,7,1,2,3,5,6]=>[4,1,7,6,5,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,3,2,4,1,7]=>[7,1,4,2,3,5,6]=>[1,7,4,6,5,3,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[6,5,3,2,4,7,1]=>[1,7,4,2,3,5,6]=>[7,1,4,6,5,3,2]=>[[.,.],[[[.,[[.,.],.]],.],.]]
[6,5,3,2,7,1,4]=>[4,1,7,2,3,5,6]=>[4,7,1,6,5,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,5,3,2,7,4,1]=>[1,4,7,2,3,5,6]=>[7,4,1,6,5,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,5,3,4,1,2,7]=>[7,2,1,4,3,5,6]=>[1,6,7,4,5,3,2]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[6,5,3,4,1,7,2]=>[2,7,1,4,3,5,6]=>[6,1,7,4,5,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[1,7,6,4,5,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[6,5,3,4,2,7,1]=>[1,7,2,4,3,5,6]=>[7,1,6,4,5,3,2]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[6,5,3,4,7,1,2]=>[2,1,7,4,3,5,6]=>[6,7,1,4,5,3,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[6,5,3,4,7,2,1]=>[1,2,7,4,3,5,6]=>[7,6,1,4,5,3,2]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[6,5,3,7,1,2,4]=>[4,2,1,7,3,5,6]=>[4,6,7,1,5,3,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[6,5,3,7,1,4,2]=>[2,4,1,7,3,5,6]=>[6,4,7,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,5,3,7,2,4,1]=>[1,4,2,7,3,5,6]=>[7,4,6,1,5,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,5,3,7,4,1,2]=>[2,1,4,7,3,5,6]=>[6,7,4,1,5,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,5,3,7,4,2,1]=>[1,2,4,7,3,5,6]=>[7,6,4,1,5,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,5,4,1,2,3,7]=>[7,3,2,1,4,5,6]=>[1,5,6,7,4,3,2]=>[.,[[[[.,[.,[.,.]]],.],.],.]]
[6,5,4,1,2,7,3]=>[3,7,2,1,4,5,6]=>[5,1,6,7,4,3,2]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[6,5,4,1,3,2,7]=>[7,2,3,1,4,5,6]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[6,5,4,1,3,7,2]=>[2,7,3,1,4,5,6]=>[6,1,5,7,4,3,2]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[6,5,4,1,7,2,3]=>[3,2,7,1,4,5,6]=>[5,6,1,7,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,5,4,1,7,3,2]=>[2,3,7,1,4,5,6]=>[6,5,1,7,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,5,4,2,1,3,7]=>[7,3,1,2,4,5,6]=>[1,5,7,6,4,3,2]=>[.,[[[[.,[[.,.],.]],.],.],.]]
[6,5,4,2,1,7,3]=>[3,7,1,2,4,5,6]=>[5,1,7,6,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,4,2,3,1,7]=>[7,1,3,2,4,5,6]=>[1,7,5,6,4,3,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[6,5,4,2,3,7,1]=>[1,7,3,2,4,5,6]=>[7,1,5,6,4,3,2]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[6,5,4,2,7,1,3]=>[3,1,7,2,4,5,6]=>[5,7,1,6,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,5,4,2,7,3,1]=>[1,3,7,2,4,5,6]=>[7,5,1,6,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,5,4,3,1,2,7]=>[7,2,1,3,4,5,6]=>[1,6,7,5,4,3,2]=>[.,[[[[[.,[.,.]],.],.],.],.]]
[6,5,4,3,1,7,2]=>[2,7,1,3,4,5,6]=>[6,1,7,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,4,3,7,1,2]=>[2,1,7,3,4,5,6]=>[6,7,1,5,4,3,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[6,5,4,3,7,2,1]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>[[[.,.],.],[[[[.,.],.],.],.]]
[6,5,4,7,1,2,3]=>[3,2,1,7,4,5,6]=>[5,6,7,1,4,3,2]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[6,5,4,7,1,3,2]=>[2,3,1,7,4,5,6]=>[6,5,7,1,4,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,5,4,7,2,1,3]=>[3,1,2,7,4,5,6]=>[5,7,6,1,4,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[6,5,4,7,2,3,1]=>[1,3,2,7,4,5,6]=>[7,5,6,1,4,3,2]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[6,5,4,7,3,1,2]=>[2,1,3,7,4,5,6]=>[6,7,5,1,4,3,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>[[[[.,.],.],.],[[[.,.],.],.]]
[6,5,7,1,2,3,4]=>[4,3,2,1,7,5,6]=>[4,5,6,7,1,3,2]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[6,5,7,1,2,4,3]=>[3,4,2,1,7,5,6]=>[5,4,6,7,1,3,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,5,7,1,3,2,4]=>[4,2,3,1,7,5,6]=>[4,6,5,7,1,3,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,5,7,1,3,4,2]=>[2,4,3,1,7,5,6]=>[6,4,5,7,1,3,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,5,7,1,4,2,3]=>[3,2,4,1,7,5,6]=>[5,6,4,7,1,3,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,5,7,1,4,3,2]=>[2,3,4,1,7,5,6]=>[6,5,4,7,1,3,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,5,7,2,1,3,4]=>[4,3,1,2,7,5,6]=>[4,5,7,6,1,3,2]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[6,5,7,2,1,4,3]=>[3,4,1,2,7,5,6]=>[5,4,7,6,1,3,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,5,7,2,3,1,4]=>[4,1,3,2,7,5,6]=>[4,7,5,6,1,3,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,5,7,2,3,4,1]=>[1,4,3,2,7,5,6]=>[7,4,5,6,1,3,2]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,5,7,2,4,1,3]=>[3,1,4,2,7,5,6]=>[5,7,4,6,1,3,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,5,7,2,4,3,1]=>[1,3,4,2,7,5,6]=>[7,5,4,6,1,3,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,5,7,3,1,2,4]=>[4,2,1,3,7,5,6]=>[4,6,7,5,1,3,2]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[6,5,7,3,1,4,2]=>[2,4,1,3,7,5,6]=>[6,4,7,5,1,3,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,5,7,3,2,1,4]=>[4,1,2,3,7,5,6]=>[4,7,6,5,1,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6]=>[7,4,6,5,1,3,2]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,5,7,3,4,1,2]=>[2,1,4,3,7,5,6]=>[6,7,4,5,1,3,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,5,7,3,4,2,1]=>[1,2,4,3,7,5,6]=>[7,6,4,5,1,3,2]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,5,7,4,1,2,3]=>[3,2,1,4,7,5,6]=>[5,6,7,4,1,3,2]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[6,5,7,4,1,3,2]=>[2,3,1,4,7,5,6]=>[6,5,7,4,1,3,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[6,5,7,4,2,3,1]=>[1,3,2,4,7,5,6]=>[7,5,6,4,1,3,2]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,5,7,4,3,1,2]=>[2,1,3,4,7,5,6]=>[6,7,5,4,1,3,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>[[[[[.,.],.],.],.],[[.,.],.]]
[6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[6,7,1,2,3,5,4]=>[4,5,3,2,1,7,6]=>[4,3,5,6,7,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[6,7,1,2,4,3,5]=>[5,3,4,2,1,7,6]=>[3,5,4,6,7,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[6,7,1,2,4,5,3]=>[3,5,4,2,1,7,6]=>[5,3,4,6,7,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[6,7,1,2,5,3,4]=>[4,3,5,2,1,7,6]=>[4,5,3,6,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[6,7,1,2,5,4,3]=>[3,4,5,2,1,7,6]=>[5,4,3,6,7,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[6,7,1,3,2,4,5]=>[5,4,2,3,1,7,6]=>[3,4,6,5,7,1,2]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[6,7,1,3,2,5,4]=>[4,5,2,3,1,7,6]=>[4,3,6,5,7,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,7,1,3,4,2,5]=>[5,2,4,3,1,7,6]=>[3,6,4,5,7,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[6,7,1,3,4,5,2]=>[2,5,4,3,1,7,6]=>[6,3,4,5,7,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[6,7,1,3,5,2,4]=>[4,2,5,3,1,7,6]=>[4,6,3,5,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[6,7,1,3,5,4,2]=>[2,4,5,3,1,7,6]=>[6,4,3,5,7,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[6,7,1,4,2,3,5]=>[5,3,2,4,1,7,6]=>[3,5,6,4,7,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[6,7,1,4,2,5,3]=>[3,5,2,4,1,7,6]=>[5,3,6,4,7,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,7,1,4,3,2,5]=>[5,2,3,4,1,7,6]=>[3,6,5,4,7,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[6,7,1,4,3,5,2]=>[2,5,3,4,1,7,6]=>[6,3,5,4,7,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,7,1,4,5,2,3]=>[3,2,5,4,1,7,6]=>[5,6,3,4,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[6,7,1,4,5,3,2]=>[2,3,5,4,1,7,6]=>[6,5,3,4,7,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[6,7,1,5,2,3,4]=>[4,3,2,5,1,7,6]=>[4,5,6,3,7,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[6,7,1,5,2,4,3]=>[3,4,2,5,1,7,6]=>[5,4,6,3,7,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,7,1,5,3,2,4]=>[4,2,3,5,1,7,6]=>[4,6,5,3,7,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,7,1,5,3,4,2]=>[2,4,3,5,1,7,6]=>[6,4,5,3,7,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,7,1,5,4,2,3]=>[3,2,4,5,1,7,6]=>[5,6,4,3,7,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,7,1,5,4,3,2]=>[2,3,4,5,1,7,6]=>[6,5,4,3,7,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,7,2,1,3,4,5]=>[5,4,3,1,2,7,6]=>[3,4,5,7,6,1,2]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[6,7,2,1,3,5,4]=>[4,5,3,1,2,7,6]=>[4,3,5,7,6,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[6,7,2,1,4,3,5]=>[5,3,4,1,2,7,6]=>[3,5,4,7,6,1,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[6,7,2,1,4,5,3]=>[3,5,4,1,2,7,6]=>[5,3,4,7,6,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[6,7,2,1,5,3,4]=>[4,3,5,1,2,7,6]=>[4,5,3,7,6,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,7,2,1,5,4,3]=>[3,4,5,1,2,7,6]=>[5,4,3,7,6,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,7,2,3,1,4,5]=>[5,4,1,3,2,7,6]=>[3,4,7,5,6,1,2]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[6,7,2,3,1,5,4]=>[4,5,1,3,2,7,6]=>[4,3,7,5,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,7,2,3,4,1,5]=>[5,1,4,3,2,7,6]=>[3,7,4,5,6,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[6,7,2,3,4,5,1]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[6,7,2,3,5,1,4]=>[4,1,5,3,2,7,6]=>[4,7,3,5,6,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[6,7,2,3,5,4,1]=>[1,4,5,3,2,7,6]=>[7,4,3,5,6,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[6,7,2,4,1,3,5]=>[5,3,1,4,2,7,6]=>[3,5,7,4,6,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[6,7,2,4,1,5,3]=>[3,5,1,4,2,7,6]=>[5,3,7,4,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,7,2,4,3,1,5]=>[5,1,3,4,2,7,6]=>[3,7,5,4,6,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[6,7,2,4,3,5,1]=>[1,5,3,4,2,7,6]=>[7,3,5,4,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,7,2,4,5,1,3]=>[3,1,5,4,2,7,6]=>[5,7,3,4,6,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[6,7,2,4,5,3,1]=>[1,3,5,4,2,7,6]=>[7,5,3,4,6,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[6,7,2,5,1,3,4]=>[4,3,1,5,2,7,6]=>[4,5,7,3,6,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[6,7,2,5,1,4,3]=>[3,4,1,5,2,7,6]=>[5,4,7,3,6,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,7,2,5,3,1,4]=>[4,1,3,5,2,7,6]=>[4,7,5,3,6,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,7,2,5,3,4,1]=>[1,4,3,5,2,7,6]=>[7,4,5,3,6,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,7,2,5,4,1,3]=>[3,1,4,5,2,7,6]=>[5,7,4,3,6,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,7,2,5,4,3,1]=>[1,3,4,5,2,7,6]=>[7,5,4,3,6,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,7,3,1,2,4,5]=>[5,4,2,1,3,7,6]=>[3,4,6,7,5,1,2]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]
[6,7,3,1,2,5,4]=>[4,5,2,1,3,7,6]=>[4,3,6,7,5,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[6,7,3,1,4,2,5]=>[5,2,4,1,3,7,6]=>[3,6,4,7,5,1,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[6,7,3,1,4,5,2]=>[2,5,4,1,3,7,6]=>[6,3,4,7,5,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[6,7,3,1,5,2,4]=>[4,2,5,1,3,7,6]=>[4,6,3,7,5,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,7,3,1,5,4,2]=>[2,4,5,1,3,7,6]=>[6,4,3,7,5,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,7,3,2,1,4,5]=>[5,4,1,2,3,7,6]=>[3,4,7,6,5,1,2]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[6,7,3,2,1,5,4]=>[4,5,1,2,3,7,6]=>[4,3,7,6,5,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,3,2,4,1,5]=>[5,1,4,2,3,7,6]=>[3,7,4,6,5,1,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[6,7,3,2,4,5,1]=>[1,5,4,2,3,7,6]=>[7,3,4,6,5,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[6,7,3,2,5,1,4]=>[4,1,5,2,3,7,6]=>[4,7,3,6,5,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,7,3,2,5,4,1]=>[1,4,5,2,3,7,6]=>[7,4,3,6,5,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,7,3,4,1,2,5]=>[5,2,1,4,3,7,6]=>[3,6,7,4,5,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[6,7,3,4,1,5,2]=>[2,5,1,4,3,7,6]=>[6,3,7,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,7,3,4,2,1,5]=>[5,1,2,4,3,7,6]=>[3,7,6,4,5,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[6,7,3,4,2,5,1]=>[1,5,2,4,3,7,6]=>[7,3,6,4,5,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[6,7,3,4,5,2,1]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[6,7,3,5,1,2,4]=>[4,2,1,5,3,7,6]=>[4,6,7,3,5,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[6,7,3,5,1,4,2]=>[2,4,1,5,3,7,6]=>[6,4,7,3,5,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,7,3,5,2,1,4]=>[4,1,2,5,3,7,6]=>[4,7,6,3,5,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,7,3,5,2,4,1]=>[1,4,2,5,3,7,6]=>[7,4,6,3,5,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,7,3,5,4,2,1]=>[1,2,4,5,3,7,6]=>[7,6,4,3,5,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,7,4,1,2,3,5]=>[5,3,2,1,4,7,6]=>[3,5,6,7,4,1,2]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[6,7,4,1,2,5,3]=>[3,5,2,1,4,7,6]=>[5,3,6,7,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[6,7,4,1,3,2,5]=>[5,2,3,1,4,7,6]=>[3,6,5,7,4,1,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[6,7,4,1,3,5,2]=>[2,5,3,1,4,7,6]=>[6,3,5,7,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[6,7,4,1,5,2,3]=>[3,2,5,1,4,7,6]=>[5,6,3,7,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,7,4,1,5,3,2]=>[2,3,5,1,4,7,6]=>[6,5,3,7,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,7,4,2,1,3,5]=>[5,3,1,2,4,7,6]=>[3,5,7,6,4,1,2]=>[[.,[[.,[[.,.],.]],.]],[.,.]]
[6,7,4,2,1,5,3]=>[3,5,1,2,4,7,6]=>[5,3,7,6,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,4,2,3,1,5]=>[5,1,3,2,4,7,6]=>[3,7,5,6,4,1,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[6,7,4,2,3,5,1]=>[1,5,3,2,4,7,6]=>[7,3,5,6,4,1,2]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[6,7,4,2,5,1,3]=>[3,1,5,2,4,7,6]=>[5,7,3,6,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,7,4,2,5,3,1]=>[1,3,5,2,4,7,6]=>[7,5,3,6,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,7,4,3,1,2,5]=>[5,2,1,3,4,7,6]=>[3,6,7,5,4,1,2]=>[[.,[[[.,[.,.]],.],.]],[.,.]]
[6,7,4,3,1,5,2]=>[2,5,1,3,4,7,6]=>[6,3,7,5,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,4,3,2,1,5]=>[5,1,2,3,4,7,6]=>[3,7,6,5,4,1,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[6,7,4,3,2,5,1]=>[1,5,2,3,4,7,6]=>[7,3,6,5,4,1,2]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[6,7,4,3,5,2,1]=>[1,2,5,3,4,7,6]=>[7,6,3,5,4,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[6,7,4,5,1,3,2]=>[2,3,1,5,4,7,6]=>[6,5,7,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6]=>[5,7,6,3,4,1,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[6,7,4,5,3,1,2]=>[2,1,3,5,4,7,6]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[6,7,5,1,2,3,4]=>[4,3,2,1,5,7,6]=>[4,5,6,7,3,1,2]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[6,7,5,1,2,4,3]=>[3,4,2,1,5,7,6]=>[5,4,6,7,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[6,7,5,1,3,2,4]=>[4,2,3,1,5,7,6]=>[4,6,5,7,3,1,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[6,7,5,1,3,4,2]=>[2,4,3,1,5,7,6]=>[6,4,5,7,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[6,7,5,1,4,2,3]=>[3,2,4,1,5,7,6]=>[5,6,4,7,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[6,7,5,1,4,3,2]=>[2,3,4,1,5,7,6]=>[6,5,4,7,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,7,5,2,1,3,4]=>[4,3,1,2,5,7,6]=>[4,5,7,6,3,1,2]=>[[[.,[.,[[.,.],.]]],.],[.,.]]
[6,7,5,2,1,4,3]=>[3,4,1,2,5,7,6]=>[5,4,7,6,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,7,5,2,3,1,4]=>[4,1,3,2,5,7,6]=>[4,7,5,6,3,1,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[6,7,5,2,3,4,1]=>[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[6,7,5,2,4,1,3]=>[3,1,4,2,5,7,6]=>[5,7,4,6,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[6,7,5,2,4,3,1]=>[1,3,4,2,5,7,6]=>[7,5,4,6,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,7,5,3,1,2,4]=>[4,2,1,3,5,7,6]=>[4,6,7,5,3,1,2]=>[[[.,[[.,[.,.]],.]],.],[.,.]]
[6,7,5,3,1,4,2]=>[2,4,1,3,5,7,6]=>[6,4,7,5,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,7,5,3,2,1,4]=>[4,1,2,3,5,7,6]=>[4,7,6,5,3,1,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[6,7,5,3,2,4,1]=>[1,4,2,3,5,7,6]=>[7,4,6,5,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[6,7,5,3,4,1,2]=>[2,1,4,3,5,7,6]=>[6,7,4,5,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[6,7,5,3,4,2,1]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[6,7,5,4,1,2,3]=>[3,2,1,4,5,7,6]=>[5,6,7,4,3,1,2]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[6,7,5,4,1,3,2]=>[2,3,1,4,5,7,6]=>[6,5,7,4,3,1,2]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[6,7,5,4,2,1,3]=>[3,1,2,4,5,7,6]=>[5,7,6,4,3,1,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>[[[[[[.,.],.],.],.],.],[.,.]]
[7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,1,2,3,4,6,5]=>[5,6,4,3,2,1,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,1,2,3,5,4,6]=>[6,4,5,3,2,1,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,1,2,3,5,6,4]=>[4,6,5,3,2,1,7]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,1,2,3,6,4,5]=>[5,4,6,3,2,1,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,1,2,3,6,5,4]=>[4,5,6,3,2,1,7]=>[4,3,2,5,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[7,1,2,4,3,5,6]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[7,1,2,4,3,6,5]=>[5,6,3,4,2,1,7]=>[3,2,5,4,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,1,2,4,5,3,6]=>[6,3,5,4,2,1,7]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,1,2,4,5,6,3]=>[3,6,5,4,2,1,7]=>[5,2,3,4,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,1,2,4,6,3,5]=>[5,3,6,4,2,1,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,1,2,4,6,5,3]=>[3,5,6,4,2,1,7]=>[5,3,2,4,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[7,1,2,5,3,4,6]=>[6,4,3,5,2,1,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,1,2,5,3,6,4]=>[4,6,3,5,2,1,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,1,2,5,4,3,6]=>[6,3,4,5,2,1,7]=>[2,5,4,3,6,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[7,1,2,5,4,6,3]=>[3,6,4,5,2,1,7]=>[5,2,4,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,1,2,5,6,3,4]=>[4,3,6,5,2,1,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,1,2,5,6,4,3]=>[3,4,6,5,2,1,7]=>[5,4,2,3,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[7,1,2,6,3,4,5]=>[5,4,3,6,2,1,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,1,2,6,3,5,4]=>[4,5,3,6,2,1,7]=>[4,3,5,2,6,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[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]=>[5,3,4,2,6,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[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]=>[5,4,3,2,6,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[7,1,3,2,4,5,6]=>[6,5,4,2,3,1,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[7,1,3,2,4,6,5]=>[5,6,4,2,3,1,7]=>[3,2,4,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[7,1,3,2,5,4,6]=>[6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,1,3,2,5,6,4]=>[4,6,5,2,3,1,7]=>[4,2,3,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[7,1,3,2,6,4,5]=>[5,4,6,2,3,1,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,1,3,2,6,5,4]=>[4,5,6,2,3,1,7]=>[4,3,2,6,5,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[7,1,3,4,2,5,6]=>[6,5,2,4,3,1,7]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[7,1,3,4,2,6,5]=>[5,6,2,4,3,1,7]=>[3,2,6,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,1,3,4,5,2,6]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,1,3,4,5,6,2]=>[2,6,5,4,3,1,7]=>[6,2,3,4,5,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,1,3,4,6,2,5]=>[5,2,6,4,3,1,7]=>[3,6,2,4,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,1,3,4,6,5,2]=>[2,5,6,4,3,1,7]=>[6,3,2,4,5,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[7,1,3,5,2,4,6]=>[6,4,2,5,3,1,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,1,3,5,2,6,4]=>[4,6,2,5,3,1,7]=>[4,2,6,3,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[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]=>[6,2,4,3,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,1,3,5,6,2,4]=>[4,2,6,5,3,1,7]=>[4,6,2,3,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,1,3,5,6,4,2]=>[2,4,6,5,3,1,7]=>[6,4,2,3,5,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[7,1,3,6,2,4,5]=>[5,4,2,6,3,1,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,1,3,6,2,5,4]=>[4,5,2,6,3,1,7]=>[4,3,6,2,5,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[7,1,3,6,4,2,5]=>[5,2,4,6,3,1,7]=>[3,6,4,2,5,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,1,3,6,4,5,2]=>[2,5,4,6,3,1,7]=>[6,3,4,2,5,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[7,1,3,6,5,2,4]=>[4,2,5,6,3,1,7]=>[4,6,3,2,5,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[7,1,3,6,5,4,2]=>[2,4,5,6,3,1,7]=>[6,4,3,2,5,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[7,1,4,2,3,5,6]=>[6,5,3,2,4,1,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[7,1,4,2,3,6,5]=>[5,6,3,2,4,1,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,1,4,2,5,3,6]=>[6,3,5,2,4,1,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,1,4,2,5,6,3]=>[3,6,5,2,4,1,7]=>[5,2,3,6,4,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[7,1,4,2,6,3,5]=>[5,3,6,2,4,1,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,1,4,2,6,5,3]=>[3,5,6,2,4,1,7]=>[5,3,2,6,4,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[7,1,4,3,2,5,6]=>[6,5,2,3,4,1,7]=>[2,3,6,5,4,7,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[7,1,4,3,2,6,5]=>[5,6,2,3,4,1,7]=>[3,2,6,5,4,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[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]=>[6,2,3,5,4,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[7,1,4,3,6,2,5]=>[5,2,6,3,4,1,7]=>[3,6,2,5,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,1,4,3,6,5,2]=>[2,5,6,3,4,1,7]=>[6,3,2,5,4,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[7,1,4,5,2,3,6]=>[6,3,2,5,4,1,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,1,4,5,2,6,3]=>[3,6,2,5,4,1,7]=>[5,2,6,3,4,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[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]=>[6,2,5,3,4,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,1,4,5,6,2,3]=>[3,2,6,5,4,1,7]=>[5,6,2,3,4,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,1,4,5,6,3,2]=>[2,3,6,5,4,1,7]=>[6,5,2,3,4,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[7,1,4,6,2,3,5]=>[5,3,2,6,4,1,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,1,4,6,2,5,3]=>[3,5,2,6,4,1,7]=>[5,3,6,2,4,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[7,1,4,6,3,2,5]=>[5,2,3,6,4,1,7]=>[3,6,5,2,4,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,1,4,6,3,5,2]=>[2,5,3,6,4,1,7]=>[6,3,5,2,4,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[7,1,4,6,5,2,3]=>[3,2,5,6,4,1,7]=>[5,6,3,2,4,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[7,1,4,6,5,3,2]=>[2,3,5,6,4,1,7]=>[6,5,3,2,4,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[7,1,5,2,3,4,6]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,1,5,2,3,6,4]=>[4,6,3,2,5,1,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,1,5,2,4,3,6]=>[6,3,4,2,5,1,7]=>[2,5,4,6,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[7,1,5,2,4,6,3]=>[3,6,4,2,5,1,7]=>[5,2,4,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,1,5,2,6,3,4]=>[4,3,6,2,5,1,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,1,5,2,6,4,3]=>[3,4,6,2,5,1,7]=>[5,4,2,6,3,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[7,1,5,3,2,4,6]=>[6,4,2,3,5,1,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[7,1,5,3,2,6,4]=>[4,6,2,3,5,1,7]=>[4,2,6,5,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[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]=>[6,2,4,5,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,1,5,3,6,2,4]=>[4,2,6,3,5,1,7]=>[4,6,2,5,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,1,5,3,6,4,2]=>[2,4,6,3,5,1,7]=>[6,4,2,5,3,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[7,1,5,4,2,3,6]=>[6,3,2,4,5,1,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[7,1,5,4,2,6,3]=>[3,6,2,4,5,1,7]=>[5,2,6,4,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[7,1,5,4,3,2,6]=>[6,2,3,4,5,1,7]=>[2,6,5,4,3,7,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[7,1,5,4,3,6,2]=>[2,6,3,4,5,1,7]=>[6,2,5,4,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[7,1,5,4,6,2,3]=>[3,2,6,4,5,1,7]=>[5,6,2,4,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,1,5,4,6,3,2]=>[2,3,6,4,5,1,7]=>[6,5,2,4,3,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[7,1,5,6,2,3,4]=>[4,3,2,6,5,1,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,1,5,6,2,4,3]=>[3,4,2,6,5,1,7]=>[5,4,6,2,3,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[7,1,5,6,3,2,4]=>[4,2,3,6,5,1,7]=>[4,6,5,2,3,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,1,5,6,3,4,2]=>[2,4,3,6,5,1,7]=>[6,4,5,2,3,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[7,1,5,6,4,2,3]=>[3,2,4,6,5,1,7]=>[5,6,4,2,3,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[7,1,5,6,4,3,2]=>[2,3,4,6,5,1,7]=>[6,5,4,2,3,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[7,1,6,2,3,4,5]=>[5,4,3,2,6,1,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,1,6,2,3,5,4]=>[4,5,3,2,6,1,7]=>[4,3,5,6,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[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]=>[5,3,4,6,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[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]=>[5,4,3,6,2,7,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,1,6,3,2,4,5]=>[5,4,2,3,6,1,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[7,1,6,3,2,5,4]=>[4,5,2,3,6,1,7]=>[4,3,6,5,2,7,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,1,6,3,4,2,5]=>[5,2,4,3,6,1,7]=>[3,6,4,5,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,1,6,3,4,5,2]=>[2,5,4,3,6,1,7]=>[6,3,4,5,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[7,1,6,3,5,2,4]=>[4,2,5,3,6,1,7]=>[4,6,3,5,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,1,6,3,5,4,2]=>[2,4,5,3,6,1,7]=>[6,4,3,5,2,7,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,1,6,4,2,3,5]=>[5,3,2,4,6,1,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[7,1,6,4,2,5,3]=>[3,5,2,4,6,1,7]=>[5,3,6,4,2,7,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,1,6,4,3,2,5]=>[5,2,3,4,6,1,7]=>[3,6,5,4,2,7,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,1,6,4,3,5,2]=>[2,5,3,4,6,1,7]=>[6,3,5,4,2,7,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,1,6,4,5,2,3]=>[3,2,5,4,6,1,7]=>[5,6,3,4,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,1,6,4,5,3,2]=>[2,3,5,4,6,1,7]=>[6,5,3,4,2,7,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,1,6,5,2,3,4]=>[4,3,2,5,6,1,7]=>[4,5,6,3,2,7,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[7,1,6,5,2,4,3]=>[3,4,2,5,6,1,7]=>[5,4,6,3,2,7,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[7,1,6,5,3,2,4]=>[4,2,3,5,6,1,7]=>[4,6,5,3,2,7,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[7,1,6,5,3,4,2]=>[2,4,3,5,6,1,7]=>[6,4,5,3,2,7,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[7,1,6,5,4,2,3]=>[3,2,4,5,6,1,7]=>[5,6,4,3,2,7,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[7,1,6,5,4,3,2]=>[2,3,4,5,6,1,7]=>[6,5,4,3,2,7,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[7,2,1,3,4,5,6]=>[6,5,4,3,1,2,7]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[7,2,1,3,4,6,5]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[7,2,1,3,5,4,6]=>[6,4,5,3,1,2,7]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[7,2,1,3,5,6,4]=>[4,6,5,3,1,2,7]=>[4,2,3,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[7,2,1,3,6,4,5]=>[5,4,6,3,1,2,7]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[7,2,1,3,6,5,4]=>[4,5,6,3,1,2,7]=>[4,3,2,5,7,6,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[7,2,1,4,3,5,6]=>[6,5,3,4,1,2,7]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[7,2,1,4,3,6,5]=>[5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[7,2,1,4,5,3,6]=>[6,3,5,4,1,2,7]=>[2,5,3,4,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[7,2,1,4,5,6,3]=>[3,6,5,4,1,2,7]=>[5,2,3,4,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[7,2,1,4,6,3,5]=>[5,3,6,4,1,2,7]=>[3,5,2,4,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[7,2,1,4,6,5,3]=>[3,5,6,4,1,2,7]=>[5,3,2,4,7,6,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[7,2,1,5,3,4,6]=>[6,4,3,5,1,2,7]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[7,2,1,5,3,6,4]=>[4,6,3,5,1,2,7]=>[4,2,5,3,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[7,2,1,5,4,3,6]=>[6,3,4,5,1,2,7]=>[2,5,4,3,7,6,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[7,2,1,5,4,6,3]=>[3,6,4,5,1,2,7]=>[5,2,4,3,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[7,2,1,5,6,3,4]=>[4,3,6,5,1,2,7]=>[4,5,2,3,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[7,2,1,5,6,4,3]=>[3,4,6,5,1,2,7]=>[5,4,2,3,7,6,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[7,2,1,6,3,4,5]=>[5,4,3,6,1,2,7]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[7,2,1,6,3,5,4]=>[4,5,3,6,1,2,7]=>[4,3,5,2,7,6,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,2,1,6,4,3,5]=>[5,3,4,6,1,2,7]=>[3,5,4,2,7,6,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,2,1,6,4,5,3]=>[3,5,4,6,1,2,7]=>[5,3,4,2,7,6,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,2,1,6,5,3,4]=>[4,3,5,6,1,2,7]=>[4,5,3,2,7,6,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,2,1,6,5,4,3]=>[3,4,5,6,1,2,7]=>[5,4,3,2,7,6,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,2,3,1,4,5,6]=>[6,5,4,1,3,2,7]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[7,2,3,1,4,6,5]=>[5,6,4,1,3,2,7]=>[3,2,4,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[7,2,3,1,5,4,6]=>[6,4,5,1,3,2,7]=>[2,4,3,7,5,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,2,3,1,5,6,4]=>[4,6,5,1,3,2,7]=>[4,2,3,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[7,2,3,1,6,4,5]=>[5,4,6,1,3,2,7]=>[3,4,2,7,5,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,2,3,1,6,5,4]=>[4,5,6,1,3,2,7]=>[4,3,2,7,5,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[7,2,3,4,1,5,6]=>[6,5,1,4,3,2,7]=>[2,3,7,4,5,6,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[7,2,3,4,1,6,5]=>[5,6,1,4,3,2,7]=>[3,2,7,4,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,2,3,4,5,1,6]=>[6,1,5,4,3,2,7]=>[2,7,3,4,5,6,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,2,3,4,6,1,5]=>[5,1,6,4,3,2,7]=>[3,7,2,4,5,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,2,3,4,6,5,1]=>[1,5,6,4,3,2,7]=>[7,3,2,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[7,2,3,5,1,4,6]=>[6,4,1,5,3,2,7]=>[2,4,7,3,5,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,2,3,5,1,6,4]=>[4,6,1,5,3,2,7]=>[4,2,7,3,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,2,3,5,4,1,6]=>[6,1,4,5,3,2,7]=>[2,7,4,3,5,6,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[7,2,3,5,4,6,1]=>[1,6,4,5,3,2,7]=>[7,2,4,3,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,2,3,5,6,1,4]=>[4,1,6,5,3,2,7]=>[4,7,2,3,5,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,2,3,5,6,4,1]=>[1,4,6,5,3,2,7]=>[7,4,2,3,5,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[7,2,3,6,1,4,5]=>[5,4,1,6,3,2,7]=>[3,4,7,2,5,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,2,3,6,1,5,4]=>[4,5,1,6,3,2,7]=>[4,3,7,2,5,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[7,2,3,6,4,1,5]=>[5,1,4,6,3,2,7]=>[3,7,4,2,5,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,2,3,6,4,5,1]=>[1,5,4,6,3,2,7]=>[7,3,4,2,5,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[7,2,3,6,5,1,4]=>[4,1,5,6,3,2,7]=>[4,7,3,2,5,6,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[7,4,3,2,5,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[7,2,4,1,3,5,6]=>[6,5,3,1,4,2,7]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[7,2,4,1,3,6,5]=>[5,6,3,1,4,2,7]=>[3,2,5,7,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,2,4,1,5,3,6]=>[6,3,5,1,4,2,7]=>[2,5,3,7,4,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,2,4,1,5,6,3]=>[3,6,5,1,4,2,7]=>[5,2,3,7,4,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[7,2,4,1,6,3,5]=>[5,3,6,1,4,2,7]=>[3,5,2,7,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,2,4,1,6,5,3]=>[3,5,6,1,4,2,7]=>[5,3,2,7,4,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[7,2,4,3,1,5,6]=>[6,5,1,3,4,2,7]=>[2,3,7,5,4,6,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[7,2,4,3,1,6,5]=>[5,6,1,3,4,2,7]=>[3,2,7,5,4,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[7,2,4,3,5,1,6]=>[6,1,5,3,4,2,7]=>[2,7,3,5,4,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,2,4,3,5,6,1]=>[1,6,5,3,4,2,7]=>[7,2,3,5,4,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[7,2,4,3,6,1,5]=>[5,1,6,3,4,2,7]=>[3,7,2,5,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,2,4,3,6,5,1]=>[1,5,6,3,4,2,7]=>[7,3,2,5,4,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[7,2,4,5,1,3,6]=>[6,3,1,5,4,2,7]=>[2,5,7,3,4,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,2,4,5,1,6,3]=>[3,6,1,5,4,2,7]=>[5,2,7,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,2,4,5,3,1,6]=>[6,1,3,5,4,2,7]=>[2,7,5,3,4,6,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[7,2,4,5,3,6,1]=>[1,6,3,5,4,2,7]=>[7,2,5,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,2,4,5,6,1,3]=>[3,1,6,5,4,2,7]=>[5,7,2,3,4,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,2,4,5,6,3,1]=>[1,3,6,5,4,2,7]=>[7,5,2,3,4,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[7,2,4,6,1,3,5]=>[5,3,1,6,4,2,7]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,2,4,6,1,5,3]=>[3,5,1,6,4,2,7]=>[5,3,7,2,4,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[7,2,4,6,3,1,5]=>[5,1,3,6,4,2,7]=>[3,7,5,2,4,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,2,4,6,3,5,1]=>[1,5,3,6,4,2,7]=>[7,3,5,2,4,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[7,2,4,6,5,1,3]=>[3,1,5,6,4,2,7]=>[5,7,3,2,4,6,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[7,2,4,6,5,3,1]=>[1,3,5,6,4,2,7]=>[7,5,3,2,4,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[7,2,5,1,3,4,6]=>[6,4,3,1,5,2,7]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,2,5,1,3,6,4]=>[4,6,3,1,5,2,7]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,2,5,1,4,3,6]=>[6,3,4,1,5,2,7]=>[2,5,4,7,3,6,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[7,2,5,1,4,6,3]=>[3,6,4,1,5,2,7]=>[5,2,4,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,2,5,1,6,3,4]=>[4,3,6,1,5,2,7]=>[4,5,2,7,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,2,5,1,6,4,3]=>[3,4,6,1,5,2,7]=>[5,4,2,7,3,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[7,2,5,3,1,4,6]=>[6,4,1,3,5,2,7]=>[2,4,7,5,3,6,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[7,2,5,3,1,6,4]=>[4,6,1,3,5,2,7]=>[4,2,7,5,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[7,2,5,3,4,1,6]=>[6,1,4,3,5,2,7]=>[2,7,4,5,3,6,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[7,2,5,3,4,6,1]=>[1,6,4,3,5,2,7]=>[7,2,4,5,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,2,5,3,6,1,4]=>[4,1,6,3,5,2,7]=>[4,7,2,5,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,2,5,3,6,4,1]=>[1,4,6,3,5,2,7]=>[7,4,2,5,3,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[7,2,5,4,1,3,6]=>[6,3,1,4,5,2,7]=>[2,5,7,4,3,6,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[7,2,5,4,1,6,3]=>[3,6,1,4,5,2,7]=>[5,2,7,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[7,2,5,4,3,1,6]=>[6,1,3,4,5,2,7]=>[2,7,5,4,3,6,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[7,2,5,4,6,1,3]=>[3,1,6,4,5,2,7]=>[5,7,2,4,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,2,5,4,6,3,1]=>[1,3,6,4,5,2,7]=>[7,5,2,4,3,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[7,2,5,6,1,3,4]=>[4,3,1,6,5,2,7]=>[4,5,7,2,3,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,2,5,6,1,4,3]=>[3,4,1,6,5,2,7]=>[5,4,7,2,3,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[7,2,5,6,3,1,4]=>[4,1,3,6,5,2,7]=>[4,7,5,2,3,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,2,5,6,3,4,1]=>[1,4,3,6,5,2,7]=>[7,4,5,2,3,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[7,2,5,6,4,1,3]=>[3,1,4,6,5,2,7]=>[5,7,4,2,3,6,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[7,2,5,6,4,3,1]=>[1,3,4,6,5,2,7]=>[7,5,4,2,3,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[7,2,6,1,3,4,5]=>[5,4,3,1,6,2,7]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,2,6,1,3,5,4]=>[4,5,3,1,6,2,7]=>[4,3,5,7,2,6,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[7,2,6,1,4,3,5]=>[5,3,4,1,6,2,7]=>[3,5,4,7,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,2,6,1,4,5,3]=>[3,5,4,1,6,2,7]=>[5,3,4,7,2,6,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[7,2,6,1,5,3,4]=>[4,3,5,1,6,2,7]=>[4,5,3,7,2,6,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,2,6,1,5,4,3]=>[3,4,5,1,6,2,7]=>[5,4,3,7,2,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,2,6,3,1,4,5]=>[5,4,1,3,6,2,7]=>[3,4,7,5,2,6,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[7,2,6,3,1,5,4]=>[4,5,1,3,6,2,7]=>[4,3,7,5,2,6,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,2,6,3,4,1,5]=>[5,1,4,3,6,2,7]=>[3,7,4,5,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,2,6,3,4,5,1]=>[1,5,4,3,6,2,7]=>[7,3,4,5,2,6,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[7,2,6,3,5,1,4]=>[4,1,5,3,6,2,7]=>[4,7,3,5,2,6,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,2,6,3,5,4,1]=>[1,4,5,3,6,2,7]=>[7,4,3,5,2,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,2,6,4,1,3,5]=>[5,3,1,4,6,2,7]=>[3,5,7,4,2,6,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[7,2,6,4,1,5,3]=>[3,5,1,4,6,2,7]=>[5,3,7,4,2,6,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,2,6,4,3,1,5]=>[5,1,3,4,6,2,7]=>[3,7,5,4,2,6,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,2,6,4,3,5,1]=>[1,5,3,4,6,2,7]=>[7,3,5,4,2,6,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,2,6,4,5,1,3]=>[3,1,5,4,6,2,7]=>[5,7,3,4,2,6,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[7,5,3,4,2,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,2,6,5,1,3,4]=>[4,3,1,5,6,2,7]=>[4,5,7,3,2,6,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[7,2,6,5,1,4,3]=>[3,4,1,5,6,2,7]=>[5,4,7,3,2,6,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[7,2,6,5,3,1,4]=>[4,1,3,5,6,2,7]=>[4,7,5,3,2,6,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[7,2,6,5,3,4,1]=>[1,4,3,5,6,2,7]=>[7,4,5,3,2,6,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[7,2,6,5,4,1,3]=>[3,1,4,5,6,2,7]=>[5,7,4,3,2,6,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[7,3,1,2,4,5,6]=>[6,5,4,2,1,3,7]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[7,3,1,2,4,6,5]=>[5,6,4,2,1,3,7]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[7,3,1,2,5,4,6]=>[6,4,5,2,1,3,7]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[7,3,1,2,5,6,4]=>[4,6,5,2,1,3,7]=>[4,2,3,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[7,3,1,2,6,4,5]=>[5,4,6,2,1,3,7]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[7,3,1,2,6,5,4]=>[4,5,6,2,1,3,7]=>[4,3,2,6,7,5,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[7,3,1,4,2,5,6]=>[6,5,2,4,1,3,7]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[7,3,1,4,2,6,5]=>[5,6,2,4,1,3,7]=>[3,2,6,4,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[7,3,1,4,5,2,6]=>[6,2,5,4,1,3,7]=>[2,6,3,4,7,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[7,3,1,4,5,6,2]=>[2,6,5,4,1,3,7]=>[6,2,3,4,7,5,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[7,3,1,4,6,2,5]=>[5,2,6,4,1,3,7]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[7,3,1,4,6,5,2]=>[2,5,6,4,1,3,7]=>[6,3,2,4,7,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[7,3,1,5,2,4,6]=>[6,4,2,5,1,3,7]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[7,3,1,5,2,6,4]=>[4,6,2,5,1,3,7]=>[4,2,6,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[7,3,1,5,4,2,6]=>[6,2,4,5,1,3,7]=>[2,6,4,3,7,5,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[7,3,1,5,4,6,2]=>[2,6,4,5,1,3,7]=>[6,2,4,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[7,3,1,5,6,2,4]=>[4,2,6,5,1,3,7]=>[4,6,2,3,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[7,3,1,5,6,4,2]=>[2,4,6,5,1,3,7]=>[6,4,2,3,7,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[7,3,1,6,2,4,5]=>[5,4,2,6,1,3,7]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[7,3,1,6,2,5,4]=>[4,5,2,6,1,3,7]=>[4,3,6,2,7,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,3,1,6,4,2,5]=>[5,2,4,6,1,3,7]=>[3,6,4,2,7,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,3,1,6,4,5,2]=>[2,5,4,6,1,3,7]=>[6,3,4,2,7,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,3,1,6,5,2,4]=>[4,2,5,6,1,3,7]=>[4,6,3,2,7,5,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,3,1,6,5,4,2]=>[2,4,5,6,1,3,7]=>[6,4,3,2,7,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,3,2,1,4,5,6]=>[6,5,4,1,2,3,7]=>[2,3,4,7,6,5,1]=>[[.,[.,[.,[[[.,.],.],.]]]],.]
[7,3,2,1,4,6,5]=>[5,6,4,1,2,3,7]=>[3,2,4,7,6,5,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[7,3,2,1,5,4,6]=>[6,4,5,1,2,3,7]=>[2,4,3,7,6,5,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[7,3,2,1,5,6,4]=>[4,6,5,1,2,3,7]=>[4,2,3,7,6,5,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[7,3,2,1,6,4,5]=>[5,4,6,1,2,3,7]=>[3,4,2,7,6,5,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,3,2,1,6,5,4]=>[4,5,6,1,2,3,7]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,3,2,4,1,5,6]=>[6,5,1,4,2,3,7]=>[2,3,7,4,6,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[7,3,2,4,1,6,5]=>[5,6,1,4,2,3,7]=>[3,2,7,4,6,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[7,3,2,4,5,1,6]=>[6,1,5,4,2,3,7]=>[2,7,3,4,6,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[7,3,2,4,5,6,1]=>[1,6,5,4,2,3,7]=>[7,2,3,4,6,5,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[7,3,2,4,6,1,5]=>[5,1,6,4,2,3,7]=>[3,7,2,4,6,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[7,3,2,5,1,4,6]=>[6,4,1,5,2,3,7]=>[2,4,7,3,6,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[7,3,2,5,1,6,4]=>[4,6,1,5,2,3,7]=>[4,2,7,3,6,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[7,3,2,5,4,1,6]=>[6,1,4,5,2,3,7]=>[2,7,4,3,6,5,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[7,3,2,5,4,6,1]=>[1,6,4,5,2,3,7]=>[7,2,4,3,6,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[7,3,2,5,6,1,4]=>[4,1,6,5,2,3,7]=>[4,7,2,3,6,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[7,3,2,5,6,4,1]=>[1,4,6,5,2,3,7]=>[7,4,2,3,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[7,3,2,6,1,4,5]=>[5,4,1,6,2,3,7]=>[3,4,7,2,6,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[7,3,2,6,1,5,4]=>[4,5,1,6,2,3,7]=>[4,3,7,2,6,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,3,2,6,4,1,5]=>[5,1,4,6,2,3,7]=>[3,7,4,2,6,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,3,2,6,4,5,1]=>[1,5,4,6,2,3,7]=>[7,3,4,2,6,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,3,2,6,5,1,4]=>[4,1,5,6,2,3,7]=>[4,7,3,2,6,5,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,3,4,1,2,5,6]=>[6,5,2,1,4,3,7]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[7,3,4,1,2,6,5]=>[5,6,2,1,4,3,7]=>[3,2,6,7,4,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,3,4,1,5,2,6]=>[6,2,5,1,4,3,7]=>[2,6,3,7,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,3,4,1,5,6,2]=>[2,6,5,1,4,3,7]=>[6,2,3,7,4,5,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[7,3,4,1,6,2,5]=>[5,2,6,1,4,3,7]=>[3,6,2,7,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,3,4,1,6,5,2]=>[2,5,6,1,4,3,7]=>[6,3,2,7,4,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[7,3,4,2,1,5,6]=>[6,5,1,2,4,3,7]=>[2,3,7,6,4,5,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[7,3,4,2,1,6,5]=>[5,6,1,2,4,3,7]=>[3,2,7,6,4,5,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[7,3,4,2,5,1,6]=>[6,1,5,2,4,3,7]=>[2,7,3,6,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,3,4,2,5,6,1]=>[1,6,5,2,4,3,7]=>[7,2,3,6,4,5,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[7,3,4,2,6,1,5]=>[5,1,6,2,4,3,7]=>[3,7,2,6,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,3,4,2,6,5,1]=>[1,5,6,2,4,3,7]=>[7,3,2,6,4,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[7,3,4,5,1,2,6]=>[6,2,1,5,4,3,7]=>[2,6,7,3,4,5,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,3,4,5,1,6,2]=>[2,6,1,5,4,3,7]=>[6,2,7,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,3,4,5,2,1,6]=>[6,1,2,5,4,3,7]=>[2,7,6,3,4,5,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[7,3,4,5,2,6,1]=>[1,6,2,5,4,3,7]=>[7,2,6,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,3,4,5,6,1,2]=>[2,1,6,5,4,3,7]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[7,3,4,6,1,2,5]=>[5,2,1,6,4,3,7]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,3,4,6,1,5,2]=>[2,5,1,6,4,3,7]=>[6,3,7,2,4,5,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[7,3,4,6,2,1,5]=>[5,1,2,6,4,3,7]=>[3,7,6,2,4,5,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,3,4,6,2,5,1]=>[1,5,2,6,4,3,7]=>[7,3,6,2,4,5,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[7,3,4,6,5,1,2]=>[2,1,5,6,4,3,7]=>[6,7,3,2,4,5,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7]=>[7,6,3,2,4,5,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[7,3,5,1,2,4,6]=>[6,4,2,1,5,3,7]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,3,5,1,2,6,4]=>[4,6,2,1,5,3,7]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,3,5,1,4,2,6]=>[6,2,4,1,5,3,7]=>[2,6,4,7,3,5,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[7,3,5,1,4,6,2]=>[2,6,4,1,5,3,7]=>[6,2,4,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,3,5,1,6,2,4]=>[4,2,6,1,5,3,7]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,3,5,1,6,4,2]=>[2,4,6,1,5,3,7]=>[6,4,2,7,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[7,3,5,2,1,4,6]=>[6,4,1,2,5,3,7]=>[2,4,7,6,3,5,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[7,3,5,2,1,6,4]=>[4,6,1,2,5,3,7]=>[4,2,7,6,3,5,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[7,3,5,2,4,1,6]=>[6,1,4,2,5,3,7]=>[2,7,4,6,3,5,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[7,3,5,2,4,6,1]=>[1,6,4,2,5,3,7]=>[7,2,4,6,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,3,5,2,6,1,4]=>[4,1,6,2,5,3,7]=>[4,7,2,6,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,3,5,2,6,4,1]=>[1,4,6,2,5,3,7]=>[7,4,2,6,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[7,3,5,4,1,2,6]=>[6,2,1,4,5,3,7]=>[2,6,7,4,3,5,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[7,3,5,4,1,6,2]=>[2,6,1,4,5,3,7]=>[6,2,7,4,3,5,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[7,3,5,4,2,1,6]=>[6,1,2,4,5,3,7]=>[2,7,6,4,3,5,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[7,3,5,4,2,6,1]=>[1,6,2,4,5,3,7]=>[7,2,6,4,3,5,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[7,3,5,4,6,1,2]=>[2,1,6,4,5,3,7]=>[6,7,2,4,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7]=>[7,6,2,4,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[7,3,5,6,1,2,4]=>[4,2,1,6,5,3,7]=>[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,3,5,6,1,4,2]=>[2,4,1,6,5,3,7]=>[6,4,7,2,3,5,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[7,3,5,6,2,1,4]=>[4,1,2,6,5,3,7]=>[4,7,6,2,3,5,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,3,5,6,2,4,1]=>[1,4,2,6,5,3,7]=>[7,4,6,2,3,5,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[7,3,5,6,4,1,2]=>[2,1,4,6,5,3,7]=>[6,7,4,2,3,5,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[7,3,5,6,4,2,1]=>[1,2,4,6,5,3,7]=>[7,6,4,2,3,5,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[7,3,6,1,2,4,5]=>[5,4,2,1,6,3,7]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,3,6,1,2,5,4]=>[4,5,2,1,6,3,7]=>[4,3,6,7,2,5,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[7,3,6,1,4,2,5]=>[5,2,4,1,6,3,7]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,3,6,1,4,5,2]=>[2,5,4,1,6,3,7]=>[6,3,4,7,2,5,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[7,3,6,1,5,2,4]=>[4,2,5,1,6,3,7]=>[4,6,3,7,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,3,6,1,5,4,2]=>[2,4,5,1,6,3,7]=>[6,4,3,7,2,5,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,3,6,2,1,4,5]=>[5,4,1,2,6,3,7]=>[3,4,7,6,2,5,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[7,3,6,2,1,5,4]=>[4,5,1,2,6,3,7]=>[4,3,7,6,2,5,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,3,6,2,4,1,5]=>[5,1,4,2,6,3,7]=>[3,7,4,6,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,3,6,2,4,5,1]=>[1,5,4,2,6,3,7]=>[7,3,4,6,2,5,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[7,3,6,2,5,1,4]=>[4,1,5,2,6,3,7]=>[4,7,3,6,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,3,6,2,5,4,1]=>[1,4,5,2,6,3,7]=>[7,4,3,6,2,5,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,3,6,4,1,2,5]=>[5,2,1,4,6,3,7]=>[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[7,3,6,4,1,5,2]=>[2,5,1,4,6,3,7]=>[6,3,7,4,2,5,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,3,6,4,2,1,5]=>[5,1,2,4,6,3,7]=>[3,7,6,4,2,5,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,3,6,4,2,5,1]=>[1,5,2,4,6,3,7]=>[7,3,6,4,2,5,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,3,6,4,5,1,2]=>[2,1,5,4,6,3,7]=>[6,7,3,4,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,3,6,4,5,2,1]=>[1,2,5,4,6,3,7]=>[7,6,3,4,2,5,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,3,6,5,1,2,4]=>[4,2,1,5,6,3,7]=>[4,6,7,3,2,5,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[7,3,6,5,1,4,2]=>[2,4,1,5,6,3,7]=>[6,4,7,3,2,5,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[7,3,6,5,2,1,4]=>[4,1,2,5,6,3,7]=>[4,7,6,3,2,5,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[7,3,6,5,2,4,1]=>[1,4,2,5,6,3,7]=>[7,4,6,3,2,5,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[7,3,6,5,4,1,2]=>[2,1,4,5,6,3,7]=>[6,7,4,3,2,5,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7]=>[7,6,4,3,2,5,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[7,4,1,2,3,5,6]=>[6,5,3,2,1,4,7]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[7,4,1,2,3,6,5]=>[5,6,3,2,1,4,7]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[7,4,1,2,5,3,6]=>[6,3,5,2,1,4,7]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[7,4,1,2,5,6,3]=>[3,6,5,2,1,4,7]=>[5,2,3,6,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[7,4,1,2,6,3,5]=>[5,3,6,2,1,4,7]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[7,4,1,2,6,5,3]=>[3,5,6,2,1,4,7]=>[5,3,2,6,7,4,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[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]=>[3,2,6,5,7,4,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[7,4,1,3,5,2,6]=>[6,2,5,3,1,4,7]=>[2,6,3,5,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[7,4,1,3,5,6,2]=>[2,6,5,3,1,4,7]=>[6,2,3,5,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[7,4,1,3,6,2,5]=>[5,2,6,3,1,4,7]=>[3,6,2,5,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[7,4,1,3,6,5,2]=>[2,5,6,3,1,4,7]=>[6,3,2,5,7,4,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[7,4,1,5,2,3,6]=>[6,3,2,5,1,4,7]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[7,4,1,5,2,6,3]=>[3,6,2,5,1,4,7]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[7,4,1,5,3,2,6]=>[6,2,3,5,1,4,7]=>[2,6,5,3,7,4,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[7,4,1,5,3,6,2]=>[2,6,3,5,1,4,7]=>[6,2,5,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[7,4,1,5,6,2,3]=>[3,2,6,5,1,4,7]=>[5,6,2,3,7,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[7,4,1,5,6,3,2]=>[2,3,6,5,1,4,7]=>[6,5,2,3,7,4,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[7,4,1,6,2,3,5]=>[5,3,2,6,1,4,7]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[7,4,1,6,2,5,3]=>[3,5,2,6,1,4,7]=>[5,3,6,2,7,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,1,6,3,2,5]=>[5,2,3,6,1,4,7]=>[3,6,5,2,7,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,1,6,3,5,2]=>[2,5,3,6,1,4,7]=>[6,3,5,2,7,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,1,6,5,2,3]=>[3,2,5,6,1,4,7]=>[5,6,3,2,7,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,4,1,6,5,3,2]=>[2,3,5,6,1,4,7]=>[6,5,3,2,7,4,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,4,2,1,3,5,6]=>[6,5,3,1,2,4,7]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[7,4,2,1,3,6,5]=>[5,6,3,1,2,4,7]=>[3,2,5,7,6,4,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[7,4,2,1,5,3,6]=>[6,3,5,1,2,4,7]=>[2,5,3,7,6,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[7,4,2,1,5,6,3]=>[3,6,5,1,2,4,7]=>[5,2,3,7,6,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[7,4,2,1,6,3,5]=>[5,3,6,1,2,4,7]=>[3,5,2,7,6,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,4,2,1,6,5,3]=>[3,5,6,1,2,4,7]=>[5,3,2,7,6,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,4,2,3,1,5,6]=>[6,5,1,3,2,4,7]=>[2,3,7,5,6,4,1]=>[[.,[.,[[[.,.],[.,.]],.]]],.]
[7,4,2,3,1,6,5]=>[5,6,1,3,2,4,7]=>[3,2,7,5,6,4,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[7,4,2,3,5,1,6]=>[6,1,5,3,2,4,7]=>[2,7,3,5,6,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[7,4,2,3,5,6,1]=>[1,6,5,3,2,4,7]=>[7,2,3,5,6,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[7,4,2,3,6,1,5]=>[5,1,6,3,2,4,7]=>[3,7,2,5,6,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[7,4,2,3,6,5,1]=>[1,5,6,3,2,4,7]=>[7,3,2,5,6,4,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[7,4,2,5,1,3,6]=>[6,3,1,5,2,4,7]=>[2,5,7,3,6,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[7,4,2,5,1,6,3]=>[3,6,1,5,2,4,7]=>[5,2,7,3,6,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[7,4,2,5,3,1,6]=>[6,1,3,5,2,4,7]=>[2,7,5,3,6,4,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[7,4,2,5,3,6,1]=>[1,6,3,5,2,4,7]=>[7,2,5,3,6,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[7,4,2,5,6,1,3]=>[3,1,6,5,2,4,7]=>[5,7,2,3,6,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[7,4,2,5,6,3,1]=>[1,3,6,5,2,4,7]=>[7,5,2,3,6,4,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[7,4,2,6,1,3,5]=>[5,3,1,6,2,4,7]=>[3,5,7,2,6,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[7,4,2,6,1,5,3]=>[3,5,1,6,2,4,7]=>[5,3,7,2,6,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,2,6,3,1,5]=>[5,1,3,6,2,4,7]=>[3,7,5,2,6,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,2,6,3,5,1]=>[1,5,3,6,2,4,7]=>[7,3,5,2,6,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,2,6,5,1,3]=>[3,1,5,6,2,4,7]=>[5,7,3,2,6,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,4,2,6,5,3,1]=>[1,3,5,6,2,4,7]=>[7,5,3,2,6,4,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[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]=>[3,2,6,7,5,4,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[7,4,3,1,5,2,6]=>[6,2,5,1,3,4,7]=>[2,6,3,7,5,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[7,4,3,1,5,6,2]=>[2,6,5,1,3,4,7]=>[6,2,3,7,5,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[7,4,3,1,6,2,5]=>[5,2,6,1,3,4,7]=>[3,6,2,7,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,4,3,1,6,5,2]=>[2,5,6,1,3,4,7]=>[6,3,2,7,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,4,3,2,1,5,6]=>[6,5,1,2,3,4,7]=>[2,3,7,6,5,4,1]=>[[.,[.,[[[[.,.],.],.],.]]],.]
[7,4,3,2,1,6,5]=>[5,6,1,2,3,4,7]=>[3,2,7,6,5,4,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,4,3,2,5,1,6]=>[6,1,5,2,3,4,7]=>[2,7,3,6,5,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[7,2,3,6,5,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[7,4,3,2,6,1,5]=>[5,1,6,2,3,4,7]=>[3,7,2,6,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,4,3,5,1,2,6]=>[6,2,1,5,3,4,7]=>[2,6,7,3,5,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[7,4,3,5,1,6,2]=>[2,6,1,5,3,4,7]=>[6,2,7,3,5,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[7,4,3,5,2,1,6]=>[6,1,2,5,3,4,7]=>[2,7,6,3,5,4,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[7,4,3,5,2,6,1]=>[1,6,2,5,3,4,7]=>[7,2,6,3,5,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[7,4,3,5,6,1,2]=>[2,1,6,5,3,4,7]=>[6,7,2,3,5,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7]=>[7,6,2,3,5,4,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[7,4,3,6,1,2,5]=>[5,2,1,6,3,4,7]=>[3,6,7,2,5,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[7,4,3,6,1,5,2]=>[2,5,1,6,3,4,7]=>[6,3,7,2,5,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,3,6,2,1,5]=>[5,1,2,6,3,4,7]=>[3,7,6,2,5,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,4,3,6,2,5,1]=>[1,5,2,6,3,4,7]=>[7,3,6,2,5,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,4,3,6,5,1,2]=>[2,1,5,6,3,4,7]=>[6,7,3,2,5,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7]=>[7,6,3,2,5,4,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,4,5,1,2,3,6]=>[6,3,2,1,5,4,7]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,4,5,1,2,6,3]=>[3,6,2,1,5,4,7]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,4,5,1,3,2,6]=>[6,2,3,1,5,4,7]=>[2,6,5,7,3,4,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[7,4,5,1,3,6,2]=>[2,6,3,1,5,4,7]=>[6,2,5,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,4,5,1,6,2,3]=>[3,2,6,1,5,4,7]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,4,5,1,6,3,2]=>[2,3,6,1,5,4,7]=>[6,5,2,7,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[7,4,5,2,1,3,6]=>[6,3,1,2,5,4,7]=>[2,5,7,6,3,4,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[7,4,5,2,1,6,3]=>[3,6,1,2,5,4,7]=>[5,2,7,6,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[7,4,5,2,3,1,6]=>[6,1,3,2,5,4,7]=>[2,7,5,6,3,4,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[7,4,5,2,3,6,1]=>[1,6,3,2,5,4,7]=>[7,2,5,6,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,4,5,2,6,1,3]=>[3,1,6,2,5,4,7]=>[5,7,2,6,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,4,5,2,6,3,1]=>[1,3,6,2,5,4,7]=>[7,5,2,6,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[7,4,5,3,1,2,6]=>[6,2,1,3,5,4,7]=>[2,6,7,5,3,4,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[7,4,5,3,1,6,2]=>[2,6,1,3,5,4,7]=>[6,2,7,5,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[7,4,5,3,2,1,6]=>[6,1,2,3,5,4,7]=>[2,7,6,5,3,4,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[7,4,5,3,2,6,1]=>[1,6,2,3,5,4,7]=>[7,2,6,5,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[7,4,5,3,6,1,2]=>[2,1,6,3,5,4,7]=>[6,7,2,5,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,4,5,3,6,2,1]=>[1,2,6,3,5,4,7]=>[7,6,2,5,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[7,4,5,6,1,2,3]=>[3,2,1,6,5,4,7]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,4,5,6,1,3,2]=>[2,3,1,6,5,4,7]=>[6,5,7,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[7,4,5,6,2,1,3]=>[3,1,2,6,5,4,7]=>[5,7,6,2,3,4,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,4,5,6,2,3,1]=>[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[7,4,5,6,3,1,2]=>[2,1,3,6,5,4,7]=>[6,7,5,2,3,4,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[7,4,5,6,3,2,1]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[7,4,6,1,2,3,5]=>[5,3,2,1,6,4,7]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,4,6,1,2,5,3]=>[3,5,2,1,6,4,7]=>[5,3,6,7,2,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[7,4,6,1,3,2,5]=>[5,2,3,1,6,4,7]=>[3,6,5,7,2,4,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,4,6,1,3,5,2]=>[2,5,3,1,6,4,7]=>[6,3,5,7,2,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[7,4,6,1,5,2,3]=>[3,2,5,1,6,4,7]=>[5,6,3,7,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,4,6,1,5,3,2]=>[2,3,5,1,6,4,7]=>[6,5,3,7,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,4,6,2,1,3,5]=>[5,3,1,2,6,4,7]=>[3,5,7,6,2,4,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[7,4,6,2,1,5,3]=>[3,5,1,2,6,4,7]=>[5,3,7,6,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,4,6,2,3,1,5]=>[5,1,3,2,6,4,7]=>[3,7,5,6,2,4,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,4,6,2,3,5,1]=>[1,5,3,2,6,4,7]=>[7,3,5,6,2,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[7,4,6,2,5,1,3]=>[3,1,5,2,6,4,7]=>[5,7,3,6,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,4,6,3,1,2,5]=>[5,2,1,3,6,4,7]=>[3,6,7,5,2,4,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[7,4,6,3,1,5,2]=>[2,5,1,3,6,4,7]=>[6,3,7,5,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,4,6,3,2,1,5]=>[5,1,2,3,6,4,7]=>[3,7,6,5,2,4,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,4,6,3,2,5,1]=>[1,5,2,3,6,4,7]=>[7,3,6,5,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,4,6,3,5,1,2]=>[2,1,5,3,6,4,7]=>[6,7,3,5,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,4,6,3,5,2,1]=>[1,2,5,3,6,4,7]=>[7,6,3,5,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,4,6,5,1,2,3]=>[3,2,1,5,6,4,7]=>[5,6,7,3,2,4,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[7,4,6,5,1,3,2]=>[2,3,1,5,6,4,7]=>[6,5,7,3,2,4,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[7,4,6,5,2,1,3]=>[3,1,2,5,6,4,7]=>[5,7,6,3,2,4,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[7,4,6,5,2,3,1]=>[1,3,2,5,6,4,7]=>[7,5,6,3,2,4,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[7,4,6,5,3,1,2]=>[2,1,3,5,6,4,7]=>[6,7,5,3,2,4,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[7,4,6,5,3,2,1]=>[1,2,3,5,6,4,7]=>[7,6,5,3,2,4,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[7,5,1,2,3,4,6]=>[6,4,3,2,1,5,7]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[7,5,1,2,3,6,4]=>[4,6,3,2,1,5,7]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[7,5,1,2,4,3,6]=>[6,3,4,2,1,5,7]=>[2,5,4,6,7,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[7,5,1,2,4,6,3]=>[3,6,4,2,1,5,7]=>[5,2,4,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[7,5,1,2,6,3,4]=>[4,3,6,2,1,5,7]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[7,5,1,2,6,4,3]=>[3,4,6,2,1,5,7]=>[5,4,2,6,7,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[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]=>[4,2,6,5,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[7,5,1,3,4,2,6]=>[6,2,4,3,1,5,7]=>[2,6,4,5,7,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[7,5,1,3,4,6,2]=>[2,6,4,3,1,5,7]=>[6,2,4,5,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[7,5,1,3,6,2,4]=>[4,2,6,3,1,5,7]=>[4,6,2,5,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[7,5,1,3,6,4,2]=>[2,4,6,3,1,5,7]=>[6,4,2,5,7,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[7,5,1,4,2,3,6]=>[6,3,2,4,1,5,7]=>[2,5,6,4,7,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[7,5,1,4,2,6,3]=>[3,6,2,4,1,5,7]=>[5,2,6,4,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[7,5,1,4,3,2,6]=>[6,2,3,4,1,5,7]=>[2,6,5,4,7,3,1]=>[[.,[[[[.,.],.],[.,.]],.]],.]
[7,5,1,4,3,6,2]=>[2,6,3,4,1,5,7]=>[6,2,5,4,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[7,5,1,4,6,2,3]=>[3,2,6,4,1,5,7]=>[5,6,2,4,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[7,5,1,4,6,3,2]=>[2,3,6,4,1,5,7]=>[6,5,2,4,7,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[7,5,1,6,2,3,4]=>[4,3,2,6,1,5,7]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[7,5,1,6,2,4,3]=>[3,4,2,6,1,5,7]=>[5,4,6,2,7,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,5,1,6,3,2,4]=>[4,2,3,6,1,5,7]=>[4,6,5,2,7,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,5,1,6,3,4,2]=>[2,4,3,6,1,5,7]=>[6,4,5,2,7,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,5,1,6,4,2,3]=>[3,2,4,6,1,5,7]=>[5,6,4,2,7,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,5,1,6,4,3,2]=>[2,3,4,6,1,5,7]=>[6,5,4,2,7,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,5,2,1,3,4,6]=>[6,4,3,1,2,5,7]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[7,5,2,1,3,6,4]=>[4,6,3,1,2,5,7]=>[4,2,5,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[7,5,2,1,4,3,6]=>[6,3,4,1,2,5,7]=>[2,5,4,7,6,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[7,5,2,1,4,6,3]=>[3,6,4,1,2,5,7]=>[5,2,4,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[7,5,2,1,6,3,4]=>[4,3,6,1,2,5,7]=>[4,5,2,7,6,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,5,2,1,6,4,3]=>[3,4,6,1,2,5,7]=>[5,4,2,7,6,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,5,2,3,1,4,6]=>[6,4,1,3,2,5,7]=>[2,4,7,5,6,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[7,5,2,3,1,6,4]=>[4,6,1,3,2,5,7]=>[4,2,7,5,6,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[7,5,2,3,4,1,6]=>[6,1,4,3,2,5,7]=>[2,7,4,5,6,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[7,5,2,3,4,6,1]=>[1,6,4,3,2,5,7]=>[7,2,4,5,6,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[7,5,2,3,6,1,4]=>[4,1,6,3,2,5,7]=>[4,7,2,5,6,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[7,5,2,3,6,4,1]=>[1,4,6,3,2,5,7]=>[7,4,2,5,6,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[7,5,2,4,1,3,6]=>[6,3,1,4,2,5,7]=>[2,5,7,4,6,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[7,5,2,4,1,6,3]=>[3,6,1,4,2,5,7]=>[5,2,7,4,6,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[7,5,2,4,3,1,6]=>[6,1,3,4,2,5,7]=>[2,7,5,4,6,3,1]=>[[.,[[[[.,.],.],[.,.]],.]],.]
[7,5,2,4,3,6,1]=>[1,6,3,4,2,5,7]=>[7,2,5,4,6,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[7,5,2,4,6,1,3]=>[3,1,6,4,2,5,7]=>[5,7,2,4,6,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[7,5,2,4,6,3,1]=>[1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[7,5,2,6,1,3,4]=>[4,3,1,6,2,5,7]=>[4,5,7,2,6,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[7,5,2,6,1,4,3]=>[3,4,1,6,2,5,7]=>[5,4,7,2,6,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,5,2,6,3,1,4]=>[4,1,3,6,2,5,7]=>[4,7,5,2,6,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,5,2,6,3,4,1]=>[1,4,3,6,2,5,7]=>[7,4,5,2,6,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,5,2,6,4,1,3]=>[3,1,4,6,2,5,7]=>[5,7,4,2,6,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,5,2,6,4,3,1]=>[1,3,4,6,2,5,7]=>[7,5,4,2,6,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[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]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[7,5,3,1,4,2,6]=>[6,2,4,1,3,5,7]=>[2,6,4,7,5,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[7,5,3,1,4,6,2]=>[2,6,4,1,3,5,7]=>[6,2,4,7,5,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[7,5,3,1,6,2,4]=>[4,2,6,1,3,5,7]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,5,3,1,6,4,2]=>[2,4,6,1,3,5,7]=>[6,4,2,7,5,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,5,3,2,1,4,6]=>[6,4,1,2,3,5,7]=>[2,4,7,6,5,3,1]=>[[.,[[.,[[[.,.],.],.]],.]],.]
[7,5,3,2,1,6,4]=>[4,6,1,2,3,5,7]=>[4,2,7,6,5,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,5,3,2,4,1,6]=>[6,1,4,2,3,5,7]=>[2,7,4,6,5,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[7,5,3,2,4,6,1]=>[1,6,4,2,3,5,7]=>[7,2,4,6,5,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[7,5,3,2,6,1,4]=>[4,1,6,2,3,5,7]=>[4,7,2,6,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,5,3,2,6,4,1]=>[1,4,6,2,3,5,7]=>[7,4,2,6,5,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,5,3,4,1,2,6]=>[6,2,1,4,3,5,7]=>[2,6,7,4,5,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[7,5,3,4,1,6,2]=>[2,6,1,4,3,5,7]=>[6,2,7,4,5,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[7,5,3,4,2,1,6]=>[6,1,2,4,3,5,7]=>[2,7,6,4,5,3,1]=>[[.,[[[[.,.],.],[.,.]],.]],.]
[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[7,2,6,4,5,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[7,5,3,4,6,1,2]=>[2,1,6,4,3,5,7]=>[6,7,2,4,5,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[7,5,3,4,6,2,1]=>[1,2,6,4,3,5,7]=>[7,6,2,4,5,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[7,5,3,6,1,2,4]=>[4,2,1,6,3,5,7]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[7,5,3,6,1,4,2]=>[2,4,1,6,3,5,7]=>[6,4,7,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,5,3,6,2,1,4]=>[4,1,2,6,3,5,7]=>[4,7,6,2,5,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,5,3,6,4,1,2]=>[2,1,4,6,3,5,7]=>[6,7,4,2,5,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,5,3,6,4,2,1]=>[1,2,4,6,3,5,7]=>[7,6,4,2,5,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,5,4,1,2,3,6]=>[6,3,2,1,4,5,7]=>[2,5,6,7,4,3,1]=>[[.,[[[.,[.,[.,.]]],.],.]],.]
[7,5,4,1,2,6,3]=>[3,6,2,1,4,5,7]=>[5,2,6,7,4,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[7,5,4,1,3,2,6]=>[6,2,3,1,4,5,7]=>[2,6,5,7,4,3,1]=>[[.,[[[[.,.],[.,.]],.],.]],.]
[7,5,4,1,3,6,2]=>[2,6,3,1,4,5,7]=>[6,2,5,7,4,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[7,5,4,1,6,2,3]=>[3,2,6,1,4,5,7]=>[5,6,2,7,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,5,4,1,6,3,2]=>[2,3,6,1,4,5,7]=>[6,5,2,7,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,5,4,2,1,3,6]=>[6,3,1,2,4,5,7]=>[2,5,7,6,4,3,1]=>[[.,[[[.,[[.,.],.]],.],.]],.]
[7,5,4,2,1,6,3]=>[3,6,1,2,4,5,7]=>[5,2,7,6,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,5,4,2,3,1,6]=>[6,1,3,2,4,5,7]=>[2,7,5,6,4,3,1]=>[[.,[[[[.,.],[.,.]],.],.]],.]
[7,5,4,2,3,6,1]=>[1,6,3,2,4,5,7]=>[7,2,5,6,4,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[7,5,4,2,6,1,3]=>[3,1,6,2,4,5,7]=>[5,7,2,6,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,5,4,2,6,3,1]=>[1,3,6,2,4,5,7]=>[7,5,2,6,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,5,4,3,1,2,6]=>[6,2,1,3,4,5,7]=>[2,6,7,5,4,3,1]=>[[.,[[[[.,[.,.]],.],.],.]],.]
[7,5,4,3,1,6,2]=>[2,6,1,3,4,5,7]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[7,5,4,3,6,1,2]=>[2,1,6,3,4,5,7]=>[6,7,2,5,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[7,5,4,6,1,2,3]=>[3,2,1,6,4,5,7]=>[5,6,7,2,4,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[7,5,4,6,1,3,2]=>[2,3,1,6,4,5,7]=>[6,5,7,2,4,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,5,4,6,2,1,3]=>[3,1,2,6,4,5,7]=>[5,7,6,2,4,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[7,5,4,6,2,3,1]=>[1,3,2,6,4,5,7]=>[7,5,6,2,4,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[7,5,4,6,3,1,2]=>[2,1,3,6,4,5,7]=>[6,7,5,2,4,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[7,5,4,6,3,2,1]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[7,5,6,1,2,3,4]=>[4,3,2,1,6,5,7]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,5,6,1,2,4,3]=>[3,4,2,1,6,5,7]=>[5,4,6,7,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[7,5,6,1,3,2,4]=>[4,2,3,1,6,5,7]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,5,6,1,3,4,2]=>[2,4,3,1,6,5,7]=>[6,4,5,7,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[7,5,6,1,4,2,3]=>[3,2,4,1,6,5,7]=>[5,6,4,7,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,6,1,4,3,2]=>[2,3,4,1,6,5,7]=>[6,5,4,7,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,5,6,2,1,3,4]=>[4,3,1,2,6,5,7]=>[4,5,7,6,2,3,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[7,5,6,2,1,4,3]=>[3,4,1,2,6,5,7]=>[5,4,7,6,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,5,6,2,3,1,4]=>[4,1,3,2,6,5,7]=>[4,7,5,6,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,5,6,2,3,4,1]=>[1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[7,5,6,2,4,1,3]=>[3,1,4,2,6,5,7]=>[5,7,4,6,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,6,2,4,3,1]=>[1,3,4,2,6,5,7]=>[7,5,4,6,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,5,6,3,1,2,4]=>[4,2,1,3,6,5,7]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[7,5,6,3,1,4,2]=>[2,4,1,3,6,5,7]=>[6,4,7,5,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,5,6,3,2,1,4]=>[4,1,2,3,6,5,7]=>[4,7,6,5,2,3,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[7,5,6,3,2,4,1]=>[1,4,2,3,6,5,7]=>[7,4,6,5,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7]=>[6,7,4,5,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[7,5,6,4,1,2,3]=>[3,2,1,4,6,5,7]=>[5,6,7,4,2,3,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[7,5,6,4,1,3,2]=>[2,3,1,4,6,5,7]=>[6,5,7,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[7,5,6,4,2,1,3]=>[3,1,2,4,6,5,7]=>[5,7,6,4,2,3,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[7,5,6,4,3,1,2]=>[2,1,3,4,6,5,7]=>[6,7,5,4,2,3,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[7,6,1,2,3,5,4]=>[4,5,3,2,1,6,7]=>[4,3,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[7,6,1,2,4,3,5]=>[5,3,4,2,1,6,7]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[7,6,1,2,4,5,3]=>[3,5,4,2,1,6,7]=>[5,3,4,6,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[7,6,1,2,5,3,4]=>[4,3,5,2,1,6,7]=>[4,5,3,6,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,6,1,2,5,4,3]=>[3,4,5,2,1,6,7]=>[5,4,3,6,7,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[7,6,1,3,2,4,5]=>[5,4,2,3,1,6,7]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[7,6,1,3,2,5,4]=>[4,5,2,3,1,6,7]=>[4,3,6,5,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,6,1,3,4,2,5]=>[5,2,4,3,1,6,7]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[7,6,1,3,4,5,2]=>[2,5,4,3,1,6,7]=>[6,3,4,5,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[7,6,1,3,5,2,4]=>[4,2,5,3,1,6,7]=>[4,6,3,5,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,6,1,3,5,4,2]=>[2,4,5,3,1,6,7]=>[6,4,3,5,7,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[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]=>[5,3,6,4,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,6,1,4,3,2,5]=>[5,2,3,4,1,6,7]=>[3,6,5,4,7,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[7,6,1,4,3,5,2]=>[2,5,3,4,1,6,7]=>[6,3,5,4,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,6,1,4,5,2,3]=>[3,2,5,4,1,6,7]=>[5,6,3,4,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,6,1,4,5,3,2]=>[2,3,5,4,1,6,7]=>[6,5,3,4,7,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[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]=>[5,4,6,3,7,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,6,1,5,3,2,4]=>[4,2,3,5,1,6,7]=>[4,6,5,3,7,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[7,6,1,5,3,4,2]=>[2,4,3,5,1,6,7]=>[6,4,5,3,7,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,6,1,5,4,2,3]=>[3,2,4,5,1,6,7]=>[5,6,4,3,7,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7]=>[6,5,4,3,7,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[7,6,2,1,3,4,5]=>[5,4,3,1,2,6,7]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[7,6,2,1,3,5,4]=>[4,5,3,1,2,6,7]=>[4,3,5,7,6,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[7,6,2,1,4,3,5]=>[5,3,4,1,2,6,7]=>[3,5,4,7,6,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[7,6,2,1,4,5,3]=>[3,5,4,1,2,6,7]=>[5,3,4,7,6,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[7,6,2,1,5,3,4]=>[4,3,5,1,2,6,7]=>[4,5,3,7,6,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,6,2,1,5,4,3]=>[3,4,5,1,2,6,7]=>[5,4,3,7,6,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,6,2,3,1,4,5]=>[5,4,1,3,2,6,7]=>[3,4,7,5,6,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[7,6,2,3,1,5,4]=>[4,5,1,3,2,6,7]=>[4,3,7,5,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,6,2,3,4,1,5]=>[5,1,4,3,2,6,7]=>[3,7,4,5,6,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[7,6,2,3,4,5,1]=>[1,5,4,3,2,6,7]=>[7,3,4,5,6,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[7,6,2,3,5,1,4]=>[4,1,5,3,2,6,7]=>[4,7,3,5,6,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,6,2,3,5,4,1]=>[1,4,5,3,2,6,7]=>[7,4,3,5,6,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[7,6,2,4,1,3,5]=>[5,3,1,4,2,6,7]=>[3,5,7,4,6,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[7,6,2,4,1,5,3]=>[3,5,1,4,2,6,7]=>[5,3,7,4,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,6,2,4,3,1,5]=>[5,1,3,4,2,6,7]=>[3,7,5,4,6,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[7,6,2,4,3,5,1]=>[1,5,3,4,2,6,7]=>[7,3,5,4,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,6,2,4,5,1,3]=>[3,1,5,4,2,6,7]=>[5,7,3,4,6,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,6,2,4,5,3,1]=>[1,3,5,4,2,6,7]=>[7,5,3,4,6,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[7,6,2,5,1,3,4]=>[4,3,1,5,2,6,7]=>[4,5,7,3,6,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,6,2,5,1,4,3]=>[3,4,1,5,2,6,7]=>[5,4,7,3,6,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,6,2,5,3,1,4]=>[4,1,3,5,2,6,7]=>[4,7,5,3,6,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[7,6,2,5,3,4,1]=>[1,4,3,5,2,6,7]=>[7,4,5,3,6,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,6,2,5,4,1,3]=>[3,1,4,5,2,6,7]=>[5,7,4,3,6,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[7,6,2,5,4,3,1]=>[1,3,4,5,2,6,7]=>[7,5,4,3,6,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[7,6,3,1,2,4,5]=>[5,4,2,1,3,6,7]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[7,6,3,1,2,5,4]=>[4,5,2,1,3,6,7]=>[4,3,6,7,5,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[7,6,3,1,4,2,5]=>[5,2,4,1,3,6,7]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[7,6,3,1,4,5,2]=>[2,5,4,1,3,6,7]=>[6,3,4,7,5,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[7,6,3,1,5,2,4]=>[4,2,5,1,3,6,7]=>[4,6,3,7,5,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,6,3,1,5,4,2]=>[2,4,5,1,3,6,7]=>[6,4,3,7,5,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,6,3,2,1,4,5]=>[5,4,1,2,3,6,7]=>[3,4,7,6,5,2,1]=>[[[.,[.,[[[.,.],.],.]]],.],.]
[7,6,3,2,1,5,4]=>[4,5,1,2,3,6,7]=>[4,3,7,6,5,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,6,3,2,4,1,5]=>[5,1,4,2,3,6,7]=>[3,7,4,6,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[7,6,3,2,4,5,1]=>[1,5,4,2,3,6,7]=>[7,3,4,6,5,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[7,6,3,2,5,1,4]=>[4,1,5,2,3,6,7]=>[4,7,3,6,5,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,6,3,2,5,4,1]=>[1,4,5,2,3,6,7]=>[7,4,3,6,5,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,6,3,4,1,2,5]=>[5,2,1,4,3,6,7]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[7,6,3,4,1,5,2]=>[2,5,1,4,3,6,7]=>[6,3,7,4,5,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,6,3,4,2,1,5]=>[5,1,2,4,3,6,7]=>[3,7,6,4,5,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[7,6,3,4,2,5,1]=>[1,5,2,4,3,6,7]=>[7,3,6,4,5,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,6,3,4,5,1,2]=>[2,1,5,4,3,6,7]=>[6,7,3,4,5,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[7,6,3,5,1,2,4]=>[4,2,1,5,3,6,7]=>[4,6,7,3,5,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,6,3,5,1,4,2]=>[2,4,1,5,3,6,7]=>[6,4,7,3,5,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,6,3,5,2,1,4]=>[4,1,2,5,3,6,7]=>[4,7,6,3,5,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[7,6,3,5,2,4,1]=>[1,4,2,5,3,6,7]=>[7,4,6,3,5,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,6,3,5,4,1,2]=>[2,1,4,5,3,6,7]=>[6,7,4,3,5,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[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]=>[5,3,6,7,4,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[7,6,4,1,3,2,5]=>[5,2,3,1,4,6,7]=>[3,6,5,7,4,2,1]=>[[[.,[[[.,.],[.,.]],.]],.],.]
[7,6,4,1,3,5,2]=>[2,5,3,1,4,6,7]=>[6,3,5,7,4,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[7,6,4,1,5,2,3]=>[3,2,5,1,4,6,7]=>[5,6,3,7,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,6,4,1,5,3,2]=>[2,3,5,1,4,6,7]=>[6,5,3,7,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,6,4,2,1,3,5]=>[5,3,1,2,4,6,7]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[7,6,4,2,1,5,3]=>[3,5,1,2,4,6,7]=>[5,3,7,6,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,6,4,2,3,1,5]=>[5,1,3,2,4,6,7]=>[3,7,5,6,4,2,1]=>[[[.,[[[.,.],[.,.]],.]],.],.]
[7,6,4,2,3,5,1]=>[1,5,3,2,4,6,7]=>[7,3,5,6,4,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[7,6,4,2,5,1,3]=>[3,1,5,2,4,6,7]=>[5,7,3,6,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,6,4,2,5,3,1]=>[1,3,5,2,4,6,7]=>[7,5,3,6,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,6,4,3,1,2,5]=>[5,2,1,3,4,6,7]=>[3,6,7,5,4,2,1]=>[[[.,[[[.,[.,.]],.],.]],.],.]
[7,6,4,3,1,5,2]=>[2,5,1,3,4,6,7]=>[6,3,7,5,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7]=>[3,7,6,5,4,2,1]=>[[[.,[[[[.,.],.],.],.]],.],.]
[7,6,4,3,2,5,1]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,6,4,3,5,1,2]=>[2,1,5,3,4,6,7]=>[6,7,3,5,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,6,4,5,1,2,3]=>[3,2,1,5,4,6,7]=>[5,6,7,3,4,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,6,4,5,1,3,2]=>[2,3,1,5,4,6,7]=>[6,5,7,3,4,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,6,4,5,2,1,3]=>[3,1,2,5,4,6,7]=>[5,7,6,3,4,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[7,6,4,5,2,3,1]=>[1,3,2,5,4,6,7]=>[7,5,6,3,4,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,6,4,5,3,1,2]=>[2,1,3,5,4,6,7]=>[6,7,5,3,4,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[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]=>[5,4,6,7,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[7,6,5,1,3,2,4]=>[4,2,3,1,5,6,7]=>[4,6,5,7,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[7,6,5,1,3,4,2]=>[2,4,3,1,5,6,7]=>[6,4,5,7,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[7,6,5,1,4,2,3]=>[3,2,4,1,5,6,7]=>[5,6,4,7,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7]=>[6,5,4,7,3,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7]=>[4,5,7,6,3,2,1]=>[[[[.,[.,[[.,.],.]]],.],.],.]
[7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7]=>[5,4,7,6,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[7,6,5,2,3,1,4]=>[4,1,3,2,5,6,7]=>[4,7,5,6,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[7,6,5,2,3,4,1]=>[1,4,3,2,5,6,7]=>[7,4,5,6,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7]=>[5,7,4,6,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[7,6,5,2,4,3,1]=>[1,3,4,2,5,6,7]=>[7,5,4,6,3,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[7,6,5,3,1,2,4]=>[4,2,1,3,5,6,7]=>[4,6,7,5,3,2,1]=>[[[[.,[[.,[.,.]],.]],.],.],.]
[7,6,5,3,1,4,2]=>[2,4,1,3,5,6,7]=>[6,4,7,5,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7]=>[4,7,6,5,3,2,1]=>[[[[.,[[[.,.],.],.]],.],.],.]
[7,6,5,3,2,4,1]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7]=>[6,7,4,5,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7]=>[5,6,7,4,3,2,1]=>[[[[[.,[.,[.,.]]],.],.],.],.]
[7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7]=>[6,5,7,4,3,2,1]=>[[[[[[.,.],[.,.]],.],.],.],.]
[7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7]=>[5,7,6,4,3,2,1]=>[[[[[.,[[.,.],.]],.],.],.],.]
[7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>[[[[[[.,.],[.,.]],.],.],.],.]
[7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7]=>[6,7,5,4,3,2,1]=>[[[[[[.,[.,.]],.],.],.],.],.]
[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]
[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]
[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]=>[8,5,7,6,2,4,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[7,8,6,5,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]
[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[3,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]=>[6,8,7,5,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]
[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]
[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]=>[5,8,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[[.,.],.],.]]
[7,5,6,8,2,3,1,4]=>[4,1,3,2,8,6,5,7]=>[5,8,6,7,1,3,4,2]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[6,7,5,8,3,1,2,4]=>[4,2,1,3,8,5,7,6]=>[5,7,8,6,1,4,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]
[6,5,7,8,2,1,3,4]=>[4,3,1,2,8,7,5,6]=>[5,6,8,7,1,2,4,3]=>[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]
[7,8,5,6,1,2,3,4]=>[4,3,2,1,6,5,8,7]=>[5,6,7,8,3,4,1,2]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[7,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[6,5,4,3,2,1,8,7]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[3,4,2,1,7,8,6,5]=>[5,6,8,7,1,2,4,3]=>[4,3,1,2,8,7,5,6]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[2,4,3,1,7,6,8,5]=>[5,8,6,7,1,3,4,2]=>[4,1,3,2,8,6,5,7]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[3,2,4,1,6,8,7,5]=>[5,7,8,6,1,4,2,3]=>[4,2,1,3,8,5,7,6]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[2,3,4,1,6,7,8,5]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[2,1,4,3,8,7,6,5]=>[5,6,7,8,3,4,1,2]=>[4,3,2,1,6,5,8,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[2,3,1,4,5,7,8,6]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[4,3,2,1,6,5,8,7]=>[7,8,5,6,1,2,3,4]=>[2,1,4,3,8,7,6,5]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]
[2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[2,1,3,4,5,6,8,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[1,3,4,2,6,7,5,8]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[2,1,8,5,4,7,6,3]=>[3,6,7,4,5,8,1,2]=>[6,3,2,5,4,1,8,7]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[4,2,3,1,8,6,7,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[6,3,2,5,4,1,8,7]=>[7,8,1,4,5,2,3,6]=>[2,1,8,5,4,7,6,3]=>[[.,.],[[[[.,.],.],[[.,.],.]],.]]
[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[8,3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3,8]=>[8,5,4,3,2,7,6,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]
[8,5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5,8]=>[8,3,2,7,6,5,4,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]
[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[8,7,4,3,6,5,2,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]
[2,1,4,3,7,8,5,6]=>[6,5,8,7,3,4,1,2]=>[3,4,1,2,6,5,8,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[2,1,5,6,3,4,8,7]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[2,1,5,7,3,8,4,6]=>[6,4,8,3,7,5,1,2]=>[3,5,1,6,2,4,8,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[2,6,7,1,3,4,8,5]=>[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[2,1,6,7,8,3,4,5]=>[5,4,3,8,7,6,1,2]=>[4,5,6,1,2,3,8,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[3,4,1,2,6,5,8,7]=>[7,8,5,6,2,1,4,3]=>[2,1,4,3,7,8,5,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[3,4,1,2,7,8,5,6]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[3,5,1,6,2,4,8,7]=>[7,8,4,2,6,1,5,3]=>[2,1,5,7,3,8,4,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[3,5,1,7,2,8,4,6]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[3,6,1,7,8,2,4,5]=>[5,4,2,8,7,1,6,3]=>[4,5,7,1,2,8,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]
[3,1,2,4,5,8,6,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,5,6,1,2,3,8,7]=>[7,8,3,2,1,6,5,4]=>[2,1,6,7,8,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[4,5,7,1,2,8,3,6]=>[6,3,8,2,1,7,5,4]=>[3,6,1,7,8,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,6,7,1,8,2,3,5]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[1,4,2,3,7,5,6,8]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,1,2,3,8,5,6,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[1,5,2,7,3,4,6,8]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,1,8,2,3,4,5,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[5,3,2,6,1,4,8,7]=>[7,8,4,1,6,2,3,5]=>[2,1,5,8,3,7,6,4]=>[[.,.],[[.,[.,.]],[[[.,.],.],.]]]
[7,3,2,5,4,8,1,6]=>[6,1,8,4,5,2,3,7]=>[3,8,1,5,4,7,6,2]=>[[.,[.,.]],[[[.,.],[[.,.],.]],.]]
[8,4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4,8]=>[8,3,2,6,7,4,5,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[7,4,5,2,3,8,1,6]=>[6,1,8,3,2,5,4,7]=>[3,8,1,6,7,4,5,2]=>[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]
[6,4,5,2,3,1,8,7]=>[7,8,1,3,2,5,4,6]=>[2,1,8,6,7,4,5,3]=>[[.,.],[[[[.,.],[.,.]],[.,.]],.]]
[5,4,6,2,1,3,8,7]=>[7,8,3,1,2,6,4,5]=>[2,1,6,8,7,3,5,4]=>[[.,.],[[.,[[.,.],.]],[[.,.],.]]]
[3,6,1,5,4,2,8,7]=>[7,8,2,4,5,1,6,3]=>[2,1,7,5,4,8,3,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[4,6,5,1,3,2,8,7]=>[7,8,2,3,1,5,6,4]=>[2,1,7,6,8,4,3,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[5,6,4,3,1,2,8,7]=>[7,8,2,1,3,4,6,5]=>[2,1,7,8,6,5,3,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[7,5,4,3,2,8,1,6]=>[6,1,8,2,3,4,5,7]=>[3,8,1,7,6,5,4,2]=>[[.,[.,.]],[[[[[.,.],.],.],.],.]]
[8,6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6,8]=>[8,4,7,2,6,5,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[7,6,4,3,8,2,1,5]=>[5,1,2,8,3,4,6,7]=>[4,8,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[[.,.],.],.],.]]
[6,7,4,3,8,1,2,5]=>[5,2,1,8,3,4,7,6]=>[4,7,8,1,6,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[5,7,4,3,1,8,2,6]=>[6,2,8,1,3,4,7,5]=>[3,7,1,8,6,5,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[4,7,5,1,3,8,2,6]=>[6,2,8,3,1,5,7,4]=>[3,7,1,6,8,4,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[3,7,1,5,4,8,2,6]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,1,7,5,4,8,3,6]=>[6,3,8,4,5,7,1,2]=>[3,6,1,5,4,2,8,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[3,8,1,5,4,7,6,2]=>[2,6,7,4,5,1,8,3]=>[7,3,2,5,4,8,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],[.,.]]
[4,8,5,1,3,7,6,2]=>[2,6,7,3,1,5,8,4]=>[7,3,2,6,8,4,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],[.,.]]
[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]=>[7,3,2,8,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[6,8,4,3,7,1,5,2]=>[2,5,1,7,3,4,8,6]=>[7,4,8,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[7,8,4,3,6,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]
[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]=>[7,5,8,6,2,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[5,8,6,7,1,3,4,2]=>[2,4,3,1,7,6,8,5]=>[7,5,6,8,2,3,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]
[4,8,6,1,7,3,5,2]=>[2,5,3,7,1,6,8,4]=>[7,4,6,2,8,3,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[3,8,1,6,7,4,5,2]=>[2,5,4,7,6,1,8,3]=>[7,4,5,2,3,8,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[2,1,8,6,7,4,5,3]=>[3,5,4,7,6,8,1,2]=>[6,4,5,2,3,1,8,7]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[2,1,7,6,8,4,3,5]=>[5,3,4,8,6,7,1,2]=>[4,6,5,1,3,2,8,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[3,7,1,6,8,4,2,5]=>[5,2,4,8,6,1,7,3]=>[4,7,5,1,3,8,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[4,7,6,1,8,3,2,5]=>[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[5,7,6,8,1,3,2,4]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[5,4,7,2,1,8,3,6]=>[6,3,8,1,2,7,4,5]=>[3,6,1,8,7,2,5,4]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[6,4,7,2,8,1,3,5]=>[5,3,1,8,2,7,4,6]=>[4,6,8,1,7,2,5,3]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[7,4,6,2,8,3,1,5]=>[5,1,3,8,2,6,4,7]=>[4,8,6,1,7,3,5,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[8,3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3,8]=>[8,4,5,2,3,7,6,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[7,3,2,6,8,4,1,5]=>[5,1,4,8,6,2,3,7]=>[4,8,5,1,3,7,6,2]=>[[.,[[.,.],.]],[[.,[[.,.],.]],.]]
[6,3,2,7,8,1,4,5]=>[5,4,1,8,7,2,3,6]=>[4,5,8,1,2,7,6,3]=>[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]
[5,3,2,7,1,8,4,6]=>[6,4,8,1,7,2,3,5]=>[3,5,1,8,2,7,6,4]=>[[.,[.,.]],[[.,.],[[[.,.],.],.]]]
[4,3,2,1,7,8,5,6]=>[6,5,8,7,1,2,3,4]=>[3,4,1,2,8,7,6,5]=>[[.,[.,.]],[.,[[[[.,.],.],.],.]]]
[3,4,1,2,8,7,6,5]=>[5,6,7,8,2,1,4,3]=>[4,3,2,1,7,8,5,6]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[5,3,2,8,1,7,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[6,3,2,8,7,1,5,4]=>[4,5,1,7,8,2,3,6]=>[5,4,8,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[7,3,2,8,6,5,1,4]=>[4,1,5,6,8,2,3,7]=>[5,8,4,3,1,7,6,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[8,6,4,3,7,2,5,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]=>[6,8,4,3,7,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[6,4,8,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]=>[6,3,2,8,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[4,5,8,1,2,7,6,3]=>[3,6,7,2,1,8,5,4]=>[6,3,2,7,8,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[3,5,1,8,2,7,6,4]=>[4,6,7,2,8,1,5,3]=>[5,3,2,7,1,8,4,6]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[2,1,5,8,3,7,6,4]=>[4,6,7,3,8,5,1,2]=>[5,3,2,6,1,4,8,7]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[2,1,6,8,7,3,5,4]=>[4,5,3,7,8,6,1,2]=>[5,4,6,2,1,3,8,7]=>[[[[.,.],[.,.]],.],[.,[[.,.],.]]]
[3,6,1,8,7,2,5,4]=>[4,5,2,7,8,1,6,3]=>[5,4,7,2,1,8,3,6]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[4,6,8,1,7,2,5,3]=>[3,5,2,7,1,8,6,4]=>[6,4,7,2,8,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[5,6,8,7,1,2,4,3]=>[3,4,2,1,7,8,6,5]=>[6,5,7,8,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[6,5,8,7,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[7,5,8,6,2,4,1,3]=>[3,1,4,2,6,8,5,7]=>[6,8,5,7,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]=>[8,6,5,7,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]
[5,7,8,6,1,4,2,3]=>[3,2,4,1,6,8,7,5]=>[6,7,5,8,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]
[4,7,8,1,6,5,2,3]=>[3,2,5,6,1,8,7,4]=>[6,7,4,3,8,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]
[3,7,1,8,6,5,2,4]=>[4,2,5,6,8,1,7,3]=>[5,7,4,3,1,8,2,6]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]
[2,1,7,8,6,5,3,4]=>[4,3,5,6,8,7,1,2]=>[5,6,4,3,1,2,8,7]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]
[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[7,5,4,3,2,8,1,6]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[4,8,7,1,6,5,3,2]=>[2,3,5,6,1,7,8,4]=>[7,6,4,3,8,2,1,5]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]
[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]=>[7,6,5,8,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],.],[.,.]]
[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]=>[7,6,8,5,4,2,1,3]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]
[6,3,8,1,2,7,4,5]=>[5,4,7,2,1,8,3,6]=>[4,5,2,7,8,1,6,3]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[7,8,4,1,6,2,3,5]=>[5,3,2,6,1,4,8,7]=>[4,6,7,3,8,5,1,2]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[1,5,4,7,6,2,3,8]=>[8,3,2,6,7,4,5,1]=>[1,6,7,3,2,5,4,8]=>[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]
[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[6,2,8,4,5,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[4,3,1,2,8,7,5,6]=>[6,5,7,8,2,1,3,4]=>[3,4,2,1,7,8,6,5]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]
Map
reverse
Description
Sends a permutation to its reverse.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.
Map
complement
Description
Sents a permutation to its complement.
The complement of a permutation $\sigma$ of length $n$ is the permutation $\tau$ with $\tau(i) = n+1-\sigma(i)$
The complement of a permutation $\sigma$ of length $n$ is the permutation $\tau$ with $\tau(i) = n+1-\sigma(i)$
Map
to increasing tree
Description
Sends a permutation to its associated increasing tree.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.
searching the database
Sorry, this map was not found in the database.