Identifier
Mp00067:
Permutations
—Foata bijection⟶
Permutations
Mp00064: Permutations —reverse⟶ Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Mp00064: Permutations —reverse⟶ Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Images
=>
Cc0010;cc-rep-3
[1]=>[1]=>[1]=>[.,.]
[1,2]=>[1,2]=>[2,1]=>[[.,.],.]
[2,1]=>[2,1]=>[1,2]=>[.,[.,.]]
[1,2,3]=>[1,2,3]=>[3,2,1]=>[[[.,.],.],.]
[1,3,2]=>[3,1,2]=>[2,1,3]=>[[.,.],[.,.]]
[2,1,3]=>[2,1,3]=>[3,1,2]=>[[.,[.,.]],.]
[2,3,1]=>[2,3,1]=>[1,3,2]=>[.,[[.,.],.]]
[3,1,2]=>[1,3,2]=>[2,3,1]=>[[.,.],[.,.]]
[3,2,1]=>[3,2,1]=>[1,2,3]=>[.,[.,[.,.]]]
[1,2,3,4]=>[1,2,3,4]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[1,2,4,3]=>[4,1,2,3]=>[3,2,1,4]=>[[[.,.],.],[.,.]]
[1,3,2,4]=>[3,1,2,4]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[1,3,4,2]=>[3,1,4,2]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[1,4,2,3]=>[1,4,2,3]=>[3,2,4,1]=>[[[.,.],.],[.,.]]
[1,4,3,2]=>[4,3,1,2]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[2,1,3,4]=>[2,1,3,4]=>[4,3,1,2]=>[[[.,[.,.]],.],.]
[2,1,4,3]=>[4,2,1,3]=>[3,1,2,4]=>[[.,[.,.]],[.,.]]
[2,3,1,4]=>[2,3,1,4]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[2,3,4,1]=>[2,3,4,1]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[2,4,1,3]=>[2,1,4,3]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[2,4,3,1]=>[4,2,3,1]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[3,1,2,4]=>[1,3,2,4]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[3,1,4,2]=>[3,4,1,2]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[3,2,1,4]=>[3,2,1,4]=>[4,1,2,3]=>[[.,[.,[.,.]]],.]
[3,2,4,1]=>[3,2,4,1]=>[1,4,2,3]=>[.,[[.,[.,.]],.]]
[3,4,1,2]=>[1,3,4,2]=>[2,4,3,1]=>[[.,.],[[.,.],.]]
[3,4,2,1]=>[3,4,2,1]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]
[4,1,2,3]=>[1,2,4,3]=>[3,4,2,1]=>[[[.,.],.],[.,.]]
[4,1,3,2]=>[4,1,3,2]=>[2,3,1,4]=>[[.,.],[.,[.,.]]]
[4,2,1,3]=>[2,4,1,3]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[4,2,3,1]=>[2,4,3,1]=>[1,3,4,2]=>[.,[[.,.],[.,.]]]
[4,3,1,2]=>[1,4,3,2]=>[2,3,4,1]=>[[.,.],[.,[.,.]]]
[4,3,2,1]=>[4,3,2,1]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[1,2,3,4,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[1,2,3,5,4]=>[5,1,2,3,4]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]
[1,2,4,3,5]=>[4,1,2,3,5]=>[5,3,2,1,4]=>[[[[.,.],.],[.,.]],.]
[1,2,4,5,3]=>[4,1,2,5,3]=>[3,5,2,1,4]=>[[[.,.],.],[[.,.],.]]
[1,2,5,3,4]=>[1,5,2,3,4]=>[4,3,2,5,1]=>[[[[.,.],.],.],[.,.]]
[1,2,5,4,3]=>[5,4,1,2,3]=>[3,2,1,4,5]=>[[[.,.],.],[.,[.,.]]]
[1,3,2,4,5]=>[3,1,2,4,5]=>[5,4,2,1,3]=>[[[[.,.],[.,.]],.],.]
[1,3,2,5,4]=>[5,3,1,2,4]=>[4,2,1,3,5]=>[[[.,.],[.,.]],[.,.]]
[1,3,4,2,5]=>[3,1,4,2,5]=>[5,2,4,1,3]=>[[[.,.],[[.,.],.]],.]
[1,3,4,5,2]=>[3,1,4,5,2]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[1,3,5,2,4]=>[3,1,2,5,4]=>[4,5,2,1,3]=>[[[.,.],[.,.]],[.,.]]
[1,3,5,4,2]=>[5,3,1,4,2]=>[2,4,1,3,5]=>[[.,.],[[.,.],[.,.]]]
[1,4,2,3,5]=>[1,4,2,3,5]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[1,4,2,5,3]=>[4,5,1,2,3]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[1,4,3,2,5]=>[4,3,1,2,5]=>[5,2,1,3,4]=>[[[.,.],[.,[.,.]]],.]
[1,4,3,5,2]=>[4,3,1,5,2]=>[2,5,1,3,4]=>[[.,.],[[.,[.,.]],.]]
[1,4,5,2,3]=>[1,4,2,5,3]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]
[1,4,5,3,2]=>[4,5,1,3,2]=>[2,3,1,5,4]=>[[.,.],[.,[[.,.],.]]]
[1,5,2,3,4]=>[1,2,5,3,4]=>[4,3,5,2,1]=>[[[[.,.],.],.],[.,.]]
[1,5,2,4,3]=>[5,1,4,2,3]=>[3,2,4,1,5]=>[[[.,.],.],[.,[.,.]]]
[1,5,3,2,4]=>[3,5,1,2,4]=>[4,2,1,5,3]=>[[[.,.],[.,.]],[.,.]]
[1,5,3,4,2]=>[5,1,3,4,2]=>[2,4,3,1,5]=>[[.,.],[[.,.],[.,.]]]
[1,5,4,2,3]=>[1,5,4,2,3]=>[3,2,4,5,1]=>[[[.,.],.],[.,[.,.]]]
[1,5,4,3,2]=>[5,4,3,1,2]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[2,1,3,4,5]=>[2,1,3,4,5]=>[5,4,3,1,2]=>[[[[.,[.,.]],.],.],.]
[2,1,3,5,4]=>[5,2,1,3,4]=>[4,3,1,2,5]=>[[[.,[.,.]],.],[.,.]]
[2,1,4,3,5]=>[4,2,1,3,5]=>[5,3,1,2,4]=>[[[.,[.,.]],[.,.]],.]
[2,1,4,5,3]=>[4,2,1,5,3]=>[3,5,1,2,4]=>[[.,[.,.]],[[.,.],.]]
[2,1,5,3,4]=>[2,5,1,3,4]=>[4,3,1,5,2]=>[[[.,[.,.]],.],[.,.]]
[2,1,5,4,3]=>[5,4,2,1,3]=>[3,1,2,4,5]=>[[.,[.,.]],[.,[.,.]]]
[2,3,1,4,5]=>[2,3,1,4,5]=>[5,4,1,3,2]=>[[[.,[[.,.],.]],.],.]
[2,3,1,5,4]=>[5,2,3,1,4]=>[4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]
[2,3,4,1,5]=>[2,3,4,1,5]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,3,4,5,1]=>[2,3,4,5,1]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,3,5,1,4]=>[2,3,1,5,4]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,3,5,4,1]=>[5,2,3,4,1]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]
[2,4,1,3,5]=>[2,1,4,3,5]=>[5,3,4,1,2]=>[[[.,[.,.]],[.,.]],.]
[2,4,1,5,3]=>[4,2,5,1,3]=>[3,1,5,2,4]=>[[.,[.,.]],[[.,.],.]]
[2,4,3,1,5]=>[4,2,3,1,5]=>[5,1,3,2,4]=>[[.,[[.,.],[.,.]]],.]
[2,4,3,5,1]=>[4,2,3,5,1]=>[1,5,3,2,4]=>[.,[[[.,.],[.,.]],.]]
[2,4,5,1,3]=>[2,1,4,5,3]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[2,4,5,3,1]=>[4,2,5,3,1]=>[1,3,5,2,4]=>[.,[[.,.],[[.,.],.]]]
[2,5,1,3,4]=>[2,1,3,5,4]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[2,5,1,4,3]=>[5,2,1,4,3]=>[3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]
[2,5,3,1,4]=>[2,5,3,1,4]=>[4,1,3,5,2]=>[[.,[[.,.],.]],[.,.]]
[2,5,3,4,1]=>[2,5,3,4,1]=>[1,4,3,5,2]=>[.,[[[.,.],.],[.,.]]]
[2,5,4,1,3]=>[2,5,1,4,3]=>[3,4,1,5,2]=>[[.,[.,.]],[.,[.,.]]]
[2,5,4,3,1]=>[5,4,2,3,1]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]
[3,1,2,4,5]=>[1,3,2,4,5]=>[5,4,2,3,1]=>[[[[.,.],[.,.]],.],.]
[3,1,2,5,4]=>[5,1,3,2,4]=>[4,2,3,1,5]=>[[[.,.],[.,.]],[.,.]]
[3,1,4,2,5]=>[3,4,1,2,5]=>[5,2,1,4,3]=>[[[.,.],[[.,.],.]],.]
[3,1,4,5,2]=>[3,4,1,5,2]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,5,2,4]=>[3,1,5,2,4]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,1,5,4,2]=>[5,3,4,1,2]=>[2,1,4,3,5]=>[[.,.],[[.,.],[.,.]]]
[3,2,1,4,5]=>[3,2,1,4,5]=>[5,4,1,2,3]=>[[[.,[.,[.,.]]],.],.]
[3,2,1,5,4]=>[5,3,2,1,4]=>[4,1,2,3,5]=>[[.,[.,[.,.]]],[.,.]]
[3,2,4,1,5]=>[3,2,4,1,5]=>[5,1,4,2,3]=>[[.,[[.,[.,.]],.]],.]
[3,2,4,5,1]=>[3,2,4,5,1]=>[1,5,4,2,3]=>[.,[[[.,[.,.]],.],.]]
[3,2,5,1,4]=>[3,2,1,5,4]=>[4,5,1,2,3]=>[[.,[.,[.,.]]],[.,.]]
[3,2,5,4,1]=>[5,3,2,4,1]=>[1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]
[3,4,1,2,5]=>[1,3,4,2,5]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[3,4,1,5,2]=>[3,4,5,1,2]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[3,4,2,1,5]=>[3,4,2,1,5]=>[5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]
[3,4,2,5,1]=>[3,4,2,5,1]=>[1,5,2,4,3]=>[.,[[.,[[.,.],.]],.]]
[3,4,5,1,2]=>[1,3,4,5,2]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[3,4,5,2,1]=>[3,4,5,2,1]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]
[3,5,1,2,4]=>[1,3,2,5,4]=>[4,5,2,3,1]=>[[[.,.],[.,.]],[.,.]]
[3,5,1,4,2]=>[3,5,1,4,2]=>[2,4,1,5,3]=>[[.,.],[[.,.],[.,.]]]
[3,5,2,1,4]=>[3,2,5,1,4]=>[4,1,5,2,3]=>[[.,[.,[.,.]]],[.,.]]
[3,5,2,4,1]=>[3,2,5,4,1]=>[1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]
[3,5,4,1,2]=>[1,5,3,4,2]=>[2,4,3,5,1]=>[[.,.],[[.,.],[.,.]]]
[3,5,4,2,1]=>[5,3,4,2,1]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]
[4,1,2,3,5]=>[1,2,4,3,5]=>[5,3,4,2,1]=>[[[[.,.],.],[.,.]],.]
[4,1,2,5,3]=>[4,1,5,2,3]=>[3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]
[4,1,3,2,5]=>[4,1,3,2,5]=>[5,2,3,1,4]=>[[[.,.],[.,[.,.]]],.]
[4,1,3,5,2]=>[4,1,3,5,2]=>[2,5,3,1,4]=>[[.,.],[[.,[.,.]],.]]
[4,1,5,2,3]=>[1,4,5,2,3]=>[3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]
[4,1,5,3,2]=>[4,5,3,1,2]=>[2,1,3,5,4]=>[[.,.],[.,[[.,.],.]]]
[4,2,1,3,5]=>[2,4,1,3,5]=>[5,3,1,4,2]=>[[[.,[.,.]],[.,.]],.]
[4,2,1,5,3]=>[4,5,2,1,3]=>[3,1,2,5,4]=>[[.,[.,.]],[[.,.],.]]
[4,2,3,1,5]=>[2,4,3,1,5]=>[5,1,3,4,2]=>[[.,[[.,.],[.,.]]],.]
[4,2,3,5,1]=>[2,4,3,5,1]=>[1,5,3,4,2]=>[.,[[[.,.],[.,.]],.]]
[4,2,5,1,3]=>[2,4,1,5,3]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[4,2,5,3,1]=>[4,5,2,3,1]=>[1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]
[4,3,1,2,5]=>[1,4,3,2,5]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[4,3,1,5,2]=>[4,3,5,1,2]=>[2,1,5,3,4]=>[[.,.],[[.,[.,.]],.]]
[4,3,2,1,5]=>[4,3,2,1,5]=>[5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]
[4,3,2,5,1]=>[4,3,2,5,1]=>[1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]
[4,3,5,1,2]=>[1,4,3,5,2]=>[2,5,3,4,1]=>[[.,.],[[.,[.,.]],.]]
[4,3,5,2,1]=>[4,3,5,2,1]=>[1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]
[4,5,1,2,3]=>[1,2,4,5,3]=>[3,5,4,2,1]=>[[[.,.],.],[[.,.],.]]
[4,5,1,3,2]=>[4,1,5,3,2]=>[2,3,5,1,4]=>[[.,.],[.,[[.,.],.]]]
[4,5,2,1,3]=>[2,4,5,1,3]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[4,5,2,3,1]=>[2,4,5,3,1]=>[1,3,5,4,2]=>[.,[[.,.],[[.,.],.]]]
[4,5,3,1,2]=>[1,4,5,3,2]=>[2,3,5,4,1]=>[[.,.],[.,[[.,.],.]]]
[4,5,3,2,1]=>[4,5,3,2,1]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]
[5,1,2,3,4]=>[1,2,3,5,4]=>[4,5,3,2,1]=>[[[[.,.],.],.],[.,.]]
[5,1,2,4,3]=>[5,1,2,4,3]=>[3,4,2,1,5]=>[[[.,.],.],[.,[.,.]]]
[5,1,3,2,4]=>[1,5,3,2,4]=>[4,2,3,5,1]=>[[[.,.],[.,.]],[.,.]]
[5,1,3,4,2]=>[3,1,5,4,2]=>[2,4,5,1,3]=>[[.,.],[[.,.],[.,.]]]
[5,1,4,2,3]=>[1,5,2,4,3]=>[3,4,2,5,1]=>[[[.,.],.],[.,[.,.]]]
[5,1,4,3,2]=>[5,4,1,3,2]=>[2,3,1,4,5]=>[[.,.],[.,[.,[.,.]]]]
[5,2,1,3,4]=>[2,1,5,3,4]=>[4,3,5,1,2]=>[[[.,[.,.]],.],[.,.]]
[5,2,1,4,3]=>[5,2,4,1,3]=>[3,1,4,2,5]=>[[.,[.,.]],[.,[.,.]]]
[5,2,3,1,4]=>[2,3,5,1,4]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[5,2,3,4,1]=>[2,3,5,4,1]=>[1,4,5,3,2]=>[.,[[[.,.],.],[.,.]]]
[5,2,4,1,3]=>[2,1,5,4,3]=>[3,4,5,1,2]=>[[.,[.,.]],[.,[.,.]]]
[5,2,4,3,1]=>[5,2,4,3,1]=>[1,3,4,2,5]=>[.,[[.,.],[.,[.,.]]]]
[5,3,1,2,4]=>[1,3,5,2,4]=>[4,2,5,3,1]=>[[[.,.],[.,.]],[.,.]]
[5,3,1,4,2]=>[3,5,4,1,2]=>[2,1,4,5,3]=>[[.,.],[[.,.],[.,.]]]
[5,3,2,1,4]=>[3,5,2,1,4]=>[4,1,2,5,3]=>[[.,[.,[.,.]]],[.,.]]
[5,3,2,4,1]=>[3,5,2,4,1]=>[1,4,2,5,3]=>[.,[[.,[.,.]],[.,.]]]
[5,3,4,1,2]=>[1,3,5,4,2]=>[2,4,5,3,1]=>[[.,.],[[.,.],[.,.]]]
[5,3,4,2,1]=>[3,5,4,2,1]=>[1,2,4,5,3]=>[.,[.,[[.,.],[.,.]]]]
[5,4,1,2,3]=>[1,2,5,4,3]=>[3,4,5,2,1]=>[[[.,.],.],[.,[.,.]]]
[5,4,1,3,2]=>[5,1,4,3,2]=>[2,3,4,1,5]=>[[.,.],[.,[.,[.,.]]]]
[5,4,2,1,3]=>[2,5,4,1,3]=>[3,1,4,5,2]=>[[.,[.,.]],[.,[.,.]]]
[5,4,2,3,1]=>[2,5,4,3,1]=>[1,3,4,5,2]=>[.,[[.,.],[.,[.,.]]]]
[5,4,3,1,2]=>[1,5,4,3,2]=>[2,3,4,5,1]=>[[.,.],[.,[.,[.,.]]]]
[5,4,3,2,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[1,2,3,4,6,5]=>[6,1,2,3,4,5]=>[5,4,3,2,1,6]=>[[[[[.,.],.],.],.],[.,.]]
[1,2,3,5,4,6]=>[5,1,2,3,4,6]=>[6,4,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],.]
[1,2,3,5,6,4]=>[5,1,2,3,6,4]=>[4,6,3,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[1,2,3,6,4,5]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>[[[[[.,.],.],.],.],[.,.]]
[1,2,3,6,5,4]=>[6,5,1,2,3,4]=>[4,3,2,1,5,6]=>[[[[.,.],.],.],[.,[.,.]]]
[1,2,4,3,5,6]=>[4,1,2,3,5,6]=>[6,5,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],.]
[1,2,4,3,6,5]=>[6,4,1,2,3,5]=>[5,3,2,1,4,6]=>[[[[.,.],.],[.,.]],[.,.]]
[1,2,4,5,3,6]=>[4,1,2,5,3,6]=>[6,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],.]
[1,2,4,5,6,3]=>[4,1,2,5,6,3]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[1,2,4,6,3,5]=>[4,1,2,3,6,5]=>[5,6,3,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[1,2,4,6,5,3]=>[6,4,1,2,5,3]=>[3,5,2,1,4,6]=>[[[.,.],.],[[.,.],[.,.]]]
[1,2,5,3,4,6]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,2,5,3,6,4]=>[5,6,1,2,3,4]=>[4,3,2,1,6,5]=>[[[[.,.],.],.],[[.,.],.]]
[1,2,5,4,3,6]=>[5,4,1,2,3,6]=>[6,3,2,1,4,5]=>[[[[.,.],.],[.,[.,.]]],.]
[1,2,5,4,6,3]=>[5,4,1,2,6,3]=>[3,6,2,1,4,5]=>[[[.,.],.],[[.,[.,.]],.]]
[1,2,5,6,3,4]=>[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[1,2,5,6,4,3]=>[5,6,1,2,4,3]=>[3,4,2,1,6,5]=>[[[.,.],.],[.,[[.,.],.]]]
[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>[[[[[.,.],.],.],.],[.,.]]
[1,2,6,3,5,4]=>[6,1,5,2,3,4]=>[4,3,2,5,1,6]=>[[[[.,.],.],.],[.,[.,.]]]
[1,2,6,4,3,5]=>[4,6,1,2,3,5]=>[5,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[.,.]]
[1,2,6,4,5,3]=>[6,1,4,2,5,3]=>[3,5,2,4,1,6]=>[[[.,.],.],[[.,.],[.,.]]]
[1,2,6,5,3,4]=>[1,6,5,2,3,4]=>[4,3,2,5,6,1]=>[[[[.,.],.],.],[.,[.,.]]]
[1,2,6,5,4,3]=>[6,5,4,1,2,3]=>[3,2,1,4,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,3,2,4,5,6]=>[3,1,2,4,5,6]=>[6,5,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],.]
[1,3,2,4,6,5]=>[6,3,1,2,4,5]=>[5,4,2,1,3,6]=>[[[[.,.],[.,.]],.],[.,.]]
[1,3,2,5,4,6]=>[5,3,1,2,4,6]=>[6,4,2,1,3,5]=>[[[[.,.],[.,.]],[.,.]],.]
[1,3,2,5,6,4]=>[5,3,1,2,6,4]=>[4,6,2,1,3,5]=>[[[.,.],[.,.]],[[.,.],.]]
[1,3,2,6,4,5]=>[3,6,1,2,4,5]=>[5,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[.,.]]
[1,3,2,6,5,4]=>[6,5,3,1,2,4]=>[4,2,1,3,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,3,4,2,5,6]=>[3,1,4,2,5,6]=>[6,5,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],.]
[1,3,4,2,6,5]=>[6,3,1,4,2,5]=>[5,2,4,1,3,6]=>[[[.,.],[[.,.],.]],[.,.]]
[1,3,4,5,2,6]=>[3,1,4,5,2,6]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[1,3,4,5,6,2]=>[3,1,4,5,6,2]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,3,4,6,2,5]=>[3,1,4,2,6,5]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[1,3,4,6,5,2]=>[6,3,1,4,5,2]=>[2,5,4,1,3,6]=>[[.,.],[[[.,.],.],[.,.]]]
[1,3,5,2,4,6]=>[3,1,2,5,4,6]=>[6,4,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],.]
[1,3,5,2,6,4]=>[5,3,1,6,2,4]=>[4,2,6,1,3,5]=>[[[.,.],[.,.]],[[.,.],.]]
[1,3,5,4,2,6]=>[5,3,1,4,2,6]=>[6,2,4,1,3,5]=>[[[.,.],[[.,.],[.,.]]],.]
[1,3,5,4,6,2]=>[5,3,1,4,6,2]=>[2,6,4,1,3,5]=>[[.,.],[[[.,.],[.,.]],.]]
[1,3,5,6,2,4]=>[3,1,2,5,6,4]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[1,3,5,6,4,2]=>[5,3,1,6,4,2]=>[2,4,6,1,3,5]=>[[.,.],[[.,.],[[.,.],.]]]
[1,3,6,2,4,5]=>[3,1,2,4,6,5]=>[5,6,4,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[1,3,6,2,5,4]=>[6,3,1,2,5,4]=>[4,5,2,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,3,6,4,2,5]=>[3,6,1,4,2,5]=>[5,2,4,1,6,3]=>[[[.,.],[[.,.],.]],[.,.]]
[1,3,6,4,5,2]=>[6,1,3,4,5,2]=>[2,5,4,3,1,6]=>[[.,.],[[[.,.],.],[.,.]]]
[1,3,6,5,2,4]=>[3,6,1,2,5,4]=>[4,5,2,1,6,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,3,6,5,4,2]=>[6,5,3,1,4,2]=>[2,4,1,3,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],.]
[1,4,2,3,6,5]=>[6,1,4,2,3,5]=>[5,3,2,4,1,6]=>[[[[.,.],.],[.,.]],[.,.]]
[1,4,2,5,3,6]=>[4,5,1,2,3,6]=>[6,3,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],.]
[1,4,2,5,6,3]=>[4,5,1,2,6,3]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[1,4,2,6,3,5]=>[4,1,6,2,3,5]=>[5,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[1,4,2,6,5,3]=>[6,4,5,1,2,3]=>[3,2,1,5,4,6]=>[[[.,.],.],[[.,.],[.,.]]]
[1,4,3,2,5,6]=>[4,3,1,2,5,6]=>[6,5,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],.]
[1,4,3,2,6,5]=>[6,4,3,1,2,5]=>[5,2,1,3,4,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[1,4,3,5,2,6]=>[4,3,1,5,2,6]=>[6,2,5,1,3,4]=>[[[.,.],[[.,[.,.]],.]],.]
[1,4,3,5,6,2]=>[4,3,1,5,6,2]=>[2,6,5,1,3,4]=>[[.,.],[[[.,[.,.]],.],.]]
[1,4,3,6,2,5]=>[4,3,1,2,6,5]=>[5,6,2,1,3,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[1,4,3,6,5,2]=>[6,4,3,1,5,2]=>[2,5,1,3,4,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[1,4,5,2,3,6]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,4,5,2,6,3]=>[4,5,1,6,2,3]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[1,4,5,3,2,6]=>[4,5,1,3,2,6]=>[6,2,3,1,5,4]=>[[[.,.],[.,[[.,.],.]]],.]
[1,4,5,3,6,2]=>[4,5,1,3,6,2]=>[2,6,3,1,5,4]=>[[.,.],[[.,[[.,.],.]],.]]
[1,4,5,6,2,3]=>[1,4,2,5,6,3]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[1,4,5,6,3,2]=>[4,5,1,6,3,2]=>[2,3,6,1,5,4]=>[[.,.],[.,[[[.,.],.],.]]]
[1,4,6,2,3,5]=>[1,4,2,3,6,5]=>[5,6,3,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[1,4,6,2,5,3]=>[4,6,1,2,5,3]=>[3,5,2,1,6,4]=>[[[.,.],.],[[.,.],[.,.]]]
[1,4,6,3,2,5]=>[4,1,6,3,2,5]=>[5,2,3,6,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[1,4,6,3,5,2]=>[4,3,1,6,5,2]=>[2,5,6,1,3,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[1,4,6,5,2,3]=>[1,6,4,2,5,3]=>[3,5,2,4,6,1]=>[[[.,.],.],[[.,.],[.,.]]]
[1,4,6,5,3,2]=>[6,4,5,1,3,2]=>[2,3,1,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[1,5,2,3,4,6]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,5,2,3,6,4]=>[5,1,6,2,3,4]=>[4,3,2,6,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[1,5,2,4,3,6]=>[5,1,4,2,3,6]=>[6,3,2,4,1,5]=>[[[[.,.],.],[.,[.,.]]],.]
[1,5,2,4,6,3]=>[5,1,4,2,6,3]=>[3,6,2,4,1,5]=>[[[.,.],.],[[.,[.,.]],.]]
[1,5,2,6,3,4]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[1,5,2,6,4,3]=>[5,6,4,1,2,3]=>[3,2,1,4,6,5]=>[[[.,.],.],[.,[[.,.],.]]]
[1,5,3,2,4,6]=>[3,5,1,2,4,6]=>[6,4,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],.]
[1,5,3,2,6,4]=>[5,6,3,1,2,4]=>[4,2,1,3,6,5]=>[[[.,.],[.,.]],[[.,.],.]]
[1,5,3,4,2,6]=>[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]=>[[.,.],[[[.,.],[.,.]],.]]
[1,5,3,6,2,4]=>[3,5,1,2,6,4]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[1,5,3,6,4,2]=>[5,6,3,1,4,2]=>[2,4,1,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[1,5,4,2,3,6]=>[1,5,4,2,3,6]=>[6,3,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,5,4,2,6,3]=>[5,4,6,1,2,3]=>[3,2,1,6,4,5]=>[[[.,.],.],[[.,[.,.]],.]]
[1,5,4,3,2,6]=>[5,4,3,1,2,6]=>[6,2,1,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,5,4,3,6,2]=>[5,4,3,1,6,2]=>[2,6,1,3,4,5]=>[[.,.],[[.,[.,[.,.]]],.]]
[1,5,4,6,2,3]=>[1,5,4,2,6,3]=>[3,6,2,4,5,1]=>[[[.,.],.],[[.,[.,.]],.]]
[1,5,4,6,3,2]=>[5,4,6,1,3,2]=>[2,3,1,6,4,5]=>[[.,.],[.,[[.,[.,.]],.]]]
[1,5,6,2,3,4]=>[1,2,5,3,6,4]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[1,5,6,2,4,3]=>[5,1,6,2,4,3]=>[3,4,2,6,1,5]=>[[[.,.],.],[.,[[.,.],.]]]
[1,5,6,3,2,4]=>[1,5,6,3,2,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,.]],[[.,.],.]]
[1,5,6,3,4,2]=>[5,1,3,6,4,2]=>[2,4,6,3,1,5]=>[[.,.],[[.,.],[[.,.],.]]]
[1,5,6,4,2,3]=>[1,5,6,2,4,3]=>[3,4,2,6,5,1]=>[[[.,.],.],[.,[[.,.],.]]]
[1,5,6,4,3,2]=>[5,6,4,1,3,2]=>[2,3,1,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[1,6,2,3,4,5]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>[[[[[.,.],.],.],.],[.,.]]
[1,6,2,3,5,4]=>[6,1,2,5,3,4]=>[4,3,5,2,1,6]=>[[[[.,.],.],.],[.,[.,.]]]
[1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[5,3,2,4,6,1]=>[[[[.,.],.],[.,.]],[.,.]]
[1,6,2,4,5,3]=>[6,1,2,4,5,3]=>[3,5,4,2,1,6]=>[[[.,.],.],[[.,.],[.,.]]]
[1,6,2,5,3,4]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]=>[[[[.,.],.],.],[.,[.,.]]]
[1,6,2,5,4,3]=>[6,5,1,4,2,3]=>[3,2,4,1,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,6,3,2,4,5]=>[3,1,6,2,4,5]=>[5,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[1,6,3,2,5,4]=>[6,3,5,1,2,4]=>[4,2,1,5,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,6,3,4,2,5]=>[1,6,3,4,2,5]=>[5,2,4,3,6,1]=>[[[.,.],[[.,.],.]],[.,.]]
[1,6,3,4,5,2]=>[3,1,6,4,5,2]=>[2,5,4,6,1,3]=>[[.,.],[[[.,.],.],[.,.]]]
[1,6,3,5,2,4]=>[1,6,3,2,5,4]=>[4,5,2,3,6,1]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,6,3,5,4,2]=>[6,5,1,3,4,2]=>[2,4,3,1,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,6,4,2,3,5]=>[1,4,6,2,3,5]=>[5,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[1,6,4,2,5,3]=>[4,6,5,1,2,3]=>[3,2,1,5,6,4]=>[[[.,.],.],[[.,.],[.,.]]]
[1,6,4,3,2,5]=>[4,6,3,1,2,5]=>[5,2,1,3,6,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[1,6,4,3,5,2]=>[4,6,3,1,5,2]=>[2,5,1,3,6,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[1,6,4,5,2,3]=>[1,6,2,4,5,3]=>[3,5,4,2,6,1]=>[[[.,.],.],[[.,.],[.,.]]]
[1,6,4,5,3,2]=>[6,4,1,5,3,2]=>[2,3,5,1,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[1,6,5,2,3,4]=>[1,2,6,5,3,4]=>[4,3,5,6,2,1]=>[[[[.,.],.],.],[.,[.,.]]]
[1,6,5,2,4,3]=>[6,1,5,4,2,3]=>[3,2,4,5,1,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,6,5,3,2,4]=>[3,6,5,1,2,4]=>[4,2,1,5,6,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,6,5,3,4,2]=>[6,1,5,3,4,2]=>[2,4,3,5,1,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,6,5,4,2,3]=>[1,6,5,4,2,3]=>[3,2,4,5,6,1]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,6,5,4,3,2]=>[6,5,4,3,1,2]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[6,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],.]
[2,1,3,4,6,5]=>[6,2,1,3,4,5]=>[5,4,3,1,2,6]=>[[[[.,[.,.]],.],.],[.,.]]
[2,1,3,5,4,6]=>[5,2,1,3,4,6]=>[6,4,3,1,2,5]=>[[[[.,[.,.]],.],[.,.]],.]
[2,1,3,5,6,4]=>[5,2,1,3,6,4]=>[4,6,3,1,2,5]=>[[[.,[.,.]],.],[[.,.],.]]
[2,1,3,6,4,5]=>[2,6,1,3,4,5]=>[5,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[.,.]]
[2,1,3,6,5,4]=>[6,5,2,1,3,4]=>[4,3,1,2,5,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[2,1,4,3,5,6]=>[4,2,1,3,5,6]=>[6,5,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],.]
[2,1,4,3,6,5]=>[6,4,2,1,3,5]=>[5,3,1,2,4,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,1,4,5,3,6]=>[4,2,1,5,3,6]=>[6,3,5,1,2,4]=>[[[.,[.,.]],[[.,.],.]],.]
[2,1,4,5,6,3]=>[4,2,1,5,6,3]=>[3,6,5,1,2,4]=>[[.,[.,.]],[[[.,.],.],.]]
[2,1,4,6,3,5]=>[4,2,1,3,6,5]=>[5,6,3,1,2,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,1,4,6,5,3]=>[6,4,2,1,5,3]=>[3,5,1,2,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,1,5,3,4,6]=>[2,5,1,3,4,6]=>[6,4,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],.]
[2,1,5,3,6,4]=>[5,6,2,1,3,4]=>[4,3,1,2,6,5]=>[[[.,[.,.]],.],[[.,.],.]]
[2,1,5,4,3,6]=>[5,4,2,1,3,6]=>[6,3,1,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],.]
[2,1,5,4,6,3]=>[5,4,2,1,6,3]=>[3,6,1,2,4,5]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,1,5,6,3,4]=>[2,5,1,3,6,4]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,1,5,6,4,3]=>[5,6,2,1,4,3]=>[3,4,1,2,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[2,1,6,3,4,5]=>[2,1,6,3,4,5]=>[5,4,3,6,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[2,1,6,3,5,4]=>[6,2,5,1,3,4]=>[4,3,1,5,2,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[2,1,6,4,3,5]=>[4,6,2,1,3,5]=>[5,3,1,2,6,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,1,6,4,5,3]=>[6,2,4,1,5,3]=>[3,5,1,4,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,1,6,5,3,4]=>[2,6,5,1,3,4]=>[4,3,1,5,6,2]=>[[[.,[.,.]],.],[.,[.,.]]]
[2,1,6,5,4,3]=>[6,5,4,2,1,3]=>[3,1,2,4,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[2,3,1,4,5,6]=>[2,3,1,4,5,6]=>[6,5,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],.]
[2,3,1,4,6,5]=>[6,2,3,1,4,5]=>[5,4,1,3,2,6]=>[[[.,[[.,.],.]],.],[.,.]]
[2,3,1,5,4,6]=>[5,2,3,1,4,6]=>[6,4,1,3,2,5]=>[[[.,[[.,.],.]],[.,.]],.]
[2,3,1,5,6,4]=>[5,2,3,1,6,4]=>[4,6,1,3,2,5]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,1,6,4,5]=>[2,6,3,1,4,5]=>[5,4,1,3,6,2]=>[[[.,[[.,.],.]],.],[.,.]]
[2,3,1,6,5,4]=>[6,5,2,3,1,4]=>[4,1,3,2,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[2,3,4,1,5,6]=>[2,3,4,1,5,6]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
[2,3,4,1,6,5]=>[6,2,3,4,1,5]=>[5,1,4,3,2,6]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,4,5,1,6]=>[2,3,4,5,1,6]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,4,5,6,1]=>[2,3,4,5,6,1]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,3,4,6,1,5]=>[2,3,4,1,6,5]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,4,6,5,1]=>[6,2,3,4,5,1]=>[1,5,4,3,2,6]=>[.,[[[[.,.],.],.],[.,.]]]
[2,3,5,1,4,6]=>[2,3,1,5,4,6]=>[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[2,3,5,1,6,4]=>[5,2,3,6,1,4]=>[4,1,6,3,2,5]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,5,4,1,6]=>[5,2,3,4,1,6]=>[6,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],.]
[2,3,5,4,6,1]=>[5,2,3,4,6,1]=>[1,6,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],.]]
[2,3,5,6,1,4]=>[2,3,1,5,6,4]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,5,6,4,1]=>[5,2,3,6,4,1]=>[1,4,6,3,2,5]=>[.,[[[.,.],.],[[.,.],.]]]
[2,3,6,1,4,5]=>[2,3,1,4,6,5]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[2,3,6,1,5,4]=>[6,2,3,1,5,4]=>[4,5,1,3,2,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[2,3,6,4,1,5]=>[2,6,3,4,1,5]=>[5,1,4,3,6,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,6,4,5,1]=>[2,6,3,4,5,1]=>[1,5,4,3,6,2]=>[.,[[[[.,.],.],.],[.,.]]]
[2,3,6,5,1,4]=>[2,6,3,1,5,4]=>[4,5,1,3,6,2]=>[[.,[[.,.],.]],[.,[.,.]]]
[2,3,6,5,4,1]=>[6,5,2,3,4,1]=>[1,4,3,2,5,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[2,4,1,3,5,6]=>[2,1,4,3,5,6]=>[6,5,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],.]
[2,4,1,3,6,5]=>[6,2,1,4,3,5]=>[5,3,4,1,2,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,4,1,5,3,6]=>[4,2,5,1,3,6]=>[6,3,1,5,2,4]=>[[[.,[.,.]],[[.,.],.]],.]
[2,4,1,5,6,3]=>[4,2,5,1,6,3]=>[3,6,1,5,2,4]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,6,3,5]=>[4,2,1,6,3,5]=>[5,3,6,1,2,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,4,1,6,5,3]=>[6,4,2,5,1,3]=>[3,1,5,2,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,4,3,1,5,6]=>[4,2,3,1,5,6]=>[6,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],.]
[2,4,3,1,6,5]=>[6,4,2,3,1,5]=>[5,1,3,2,4,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[2,4,3,5,1,6]=>[4,2,3,5,1,6]=>[6,1,5,3,2,4]=>[[.,[[[.,.],[.,.]],.]],.]
[2,4,3,5,6,1]=>[4,2,3,5,6,1]=>[1,6,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],.]]
[2,4,3,6,1,5]=>[4,2,3,1,6,5]=>[5,6,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,.]]
[2,4,3,6,5,1]=>[6,4,2,3,5,1]=>[1,5,3,2,4,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[2,4,5,1,3,6]=>[2,1,4,5,3,6]=>[6,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],.]
[2,4,5,1,6,3]=>[4,2,5,6,1,3]=>[3,1,6,5,2,4]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,5,3,1,6]=>[4,2,5,3,1,6]=>[6,1,3,5,2,4]=>[[.,[[.,.],[[.,.],.]]],.]
[2,4,5,3,6,1]=>[4,2,5,3,6,1]=>[1,6,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],.]]
[2,4,5,6,1,3]=>[2,1,4,5,6,3]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,5,6,3,1]=>[4,2,5,6,3,1]=>[1,3,6,5,2,4]=>[.,[[.,.],[[[.,.],.],.]]]
[2,4,6,1,3,5]=>[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,4,6,1,5,3]=>[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,4,6,3,1,5]=>[4,2,3,6,1,5]=>[5,1,6,3,2,4]=>[[.,[[.,.],[.,.]]],[.,.]]
[2,4,6,3,5,1]=>[4,2,3,6,5,1]=>[1,5,6,3,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[2,4,6,5,1,3]=>[2,6,1,4,5,3]=>[3,5,4,1,6,2]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,4,6,5,3,1]=>[6,4,2,5,3,1]=>[1,3,5,2,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[2,5,1,3,4,6]=>[2,1,3,5,4,6]=>[6,4,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],.]
[2,5,1,3,6,4]=>[5,2,1,6,3,4]=>[4,3,6,1,2,5]=>[[[.,[.,.]],.],[[.,.],.]]
[2,5,1,4,3,6]=>[5,2,1,4,3,6]=>[6,3,4,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],.]
[2,5,1,4,6,3]=>[5,2,1,4,6,3]=>[3,6,4,1,2,5]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,5,1,6,3,4]=>[2,5,1,6,3,4]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,5,1,6,4,3]=>[5,6,2,4,1,3]=>[3,1,4,2,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[2,5,3,1,4,6]=>[2,5,3,1,4,6]=>[6,4,1,3,5,2]=>[[[.,[[.,.],.]],[.,.]],.]
[2,5,3,1,6,4]=>[5,6,2,3,1,4]=>[4,1,3,2,6,5]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,3,4,1,6]=>[2,5,3,4,1,6]=>[6,1,4,3,5,2]=>[[.,[[[.,.],.],[.,.]]],.]
[2,5,3,4,6,1]=>[2,5,3,4,6,1]=>[1,6,4,3,5,2]=>[.,[[[[.,.],.],[.,.]],.]]
[2,5,3,6,1,4]=>[2,5,3,1,6,4]=>[4,6,1,3,5,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,3,6,4,1]=>[5,6,2,3,4,1]=>[1,4,3,2,6,5]=>[.,[[[.,.],.],[[.,.],.]]]
[2,5,4,1,3,6]=>[2,5,1,4,3,6]=>[6,3,4,1,5,2]=>[[[.,[.,.]],[.,[.,.]]],.]
[2,5,4,1,6,3]=>[5,4,2,6,1,3]=>[3,1,6,2,4,5]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,5,4,3,1,6]=>[5,4,2,3,1,6]=>[6,1,3,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,5,4,3,6,1]=>[5,4,2,3,6,1]=>[1,6,3,2,4,5]=>[.,[[[.,.],[.,[.,.]]],.]]
[2,5,4,6,1,3]=>[2,5,1,4,6,3]=>[3,6,4,1,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,5,4,6,3,1]=>[5,4,2,6,3,1]=>[1,3,6,2,4,5]=>[.,[[.,.],[[.,[.,.]],.]]]
[2,5,6,1,3,4]=>[2,1,3,5,6,4]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[2,5,6,1,4,3]=>[5,2,1,6,4,3]=>[3,4,6,1,2,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[2,5,6,3,1,4]=>[2,5,3,6,1,4]=>[4,1,6,3,5,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,6,3,4,1]=>[2,5,3,6,4,1]=>[1,4,6,3,5,2]=>[.,[[[.,.],.],[[.,.],.]]]
[2,5,6,4,1,3]=>[2,5,1,6,4,3]=>[3,4,6,1,5,2]=>[[.,[.,.]],[.,[[.,.],.]]]
[2,5,6,4,3,1]=>[5,6,2,4,3,1]=>[1,3,4,2,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]
[2,6,1,3,4,5]=>[2,1,3,4,6,5]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[2,6,1,3,5,4]=>[6,2,1,3,5,4]=>[4,5,3,1,2,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[2,6,1,4,3,5]=>[2,6,1,4,3,5]=>[5,3,4,1,6,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,6,1,4,5,3]=>[4,2,1,6,5,3]=>[3,5,6,1,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,6,1,5,3,4]=>[2,6,1,3,5,4]=>[4,5,3,1,6,2]=>[[[.,[.,.]],.],[.,[.,.]]]
[2,6,1,5,4,3]=>[6,5,2,1,4,3]=>[3,4,1,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[2,6,3,1,4,5]=>[2,3,6,1,4,5]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[2,6,3,1,5,4]=>[6,2,5,3,1,4]=>[4,1,3,5,2,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[2,6,3,4,1,5]=>[2,3,6,4,1,5]=>[5,1,4,6,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,3,4,5,1]=>[2,3,6,4,5,1]=>[1,5,4,6,3,2]=>[.,[[[[.,.],.],.],[.,.]]]
[2,6,3,5,1,4]=>[2,3,6,1,5,4]=>[4,5,1,6,3,2]=>[[.,[[.,.],.]],[.,[.,.]]]
[2,6,3,5,4,1]=>[6,2,5,3,4,1]=>[1,4,3,5,2,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[2,6,4,1,3,5]=>[2,1,6,4,3,5]=>[5,3,4,6,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,6,4,1,5,3]=>[6,2,4,5,1,3]=>[3,1,5,4,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,6,4,3,1,5]=>[4,6,2,3,1,5]=>[5,1,3,2,6,4]=>[[.,[[.,.],[.,.]]],[.,.]]
[2,6,4,3,5,1]=>[4,6,2,3,5,1]=>[1,5,3,2,6,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[2,6,4,5,1,3]=>[2,1,6,4,5,3]=>[3,5,4,6,1,2]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,6,4,5,3,1]=>[6,2,4,5,3,1]=>[1,3,5,4,2,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[2,6,5,1,3,4]=>[2,1,6,3,5,4]=>[4,5,3,6,1,2]=>[[[.,[.,.]],.],[.,[.,.]]]
[2,6,5,1,4,3]=>[6,2,5,1,4,3]=>[3,4,1,5,2,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[2,6,5,3,1,4]=>[2,6,5,3,1,4]=>[4,1,3,5,6,2]=>[[.,[[.,.],.]],[.,[.,.]]]
[2,6,5,3,4,1]=>[2,6,5,3,4,1]=>[1,4,3,5,6,2]=>[.,[[[.,.],.],[.,[.,.]]]]
[2,6,5,4,1,3]=>[2,6,5,1,4,3]=>[3,4,1,5,6,2]=>[[.,[.,.]],[.,[.,[.,.]]]]
[2,6,5,4,3,1]=>[6,5,4,2,3,1]=>[1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>[[[[[.,.],[.,.]],.],.],.]
[3,1,2,4,6,5]=>[6,1,3,2,4,5]=>[5,4,2,3,1,6]=>[[[[.,.],[.,.]],.],[.,.]]
[3,1,2,5,4,6]=>[5,1,3,2,4,6]=>[6,4,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],.]
[3,1,2,5,6,4]=>[5,1,3,2,6,4]=>[4,6,2,3,1,5]=>[[[.,.],[.,.]],[[.,.],.]]
[3,1,2,6,4,5]=>[1,6,3,2,4,5]=>[5,4,2,3,6,1]=>[[[[.,.],[.,.]],.],[.,.]]
[3,1,2,6,5,4]=>[6,5,1,3,2,4]=>[4,2,3,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[3,1,4,2,5,6]=>[3,4,1,2,5,6]=>[6,5,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],.]
[3,1,4,2,6,5]=>[6,3,4,1,2,5]=>[5,2,1,4,3,6]=>[[[.,.],[[.,.],.]],[.,.]]
[3,1,4,5,2,6]=>[3,4,1,5,2,6]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,1,4,5,6,2]=>[3,4,1,5,6,2]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,6,2,5]=>[3,4,1,2,6,5]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,1,4,6,5,2]=>[6,3,4,1,5,2]=>[2,5,1,4,3,6]=>[[.,.],[[[.,.],.],[.,.]]]
[3,1,5,2,4,6]=>[3,1,5,2,4,6]=>[6,4,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],.]
[3,1,5,2,6,4]=>[5,3,6,1,2,4]=>[4,2,1,6,3,5]=>[[[.,.],[.,.]],[[.,.],.]]
[3,1,5,4,2,6]=>[5,3,4,1,2,6]=>[6,2,1,4,3,5]=>[[[.,.],[[.,.],[.,.]]],.]
[3,1,5,4,6,2]=>[5,3,4,1,6,2]=>[2,6,1,4,3,5]=>[[.,.],[[[.,.],[.,.]],.]]
[3,1,5,6,2,4]=>[3,1,5,2,6,4]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,1,5,6,4,2]=>[5,3,6,1,4,2]=>[2,4,1,6,3,5]=>[[.,.],[[.,.],[[.,.],.]]]
[3,1,6,2,4,5]=>[3,1,2,6,4,5]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[3,1,6,2,5,4]=>[6,3,1,5,2,4]=>[4,2,5,1,3,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[3,1,6,4,2,5]=>[3,6,4,1,2,5]=>[5,2,1,4,6,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,1,6,4,5,2]=>[3,6,4,1,5,2]=>[2,5,1,4,6,3]=>[[.,.],[[[.,.],.],[.,.]]]
[3,1,6,5,2,4]=>[3,6,1,5,2,4]=>[4,2,5,1,6,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[3,1,6,5,4,2]=>[6,5,3,4,1,2]=>[2,1,4,3,5,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[6,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],.]
[3,2,1,4,6,5]=>[6,3,2,1,4,5]=>[5,4,1,2,3,6]=>[[[.,[.,[.,.]]],.],[.,.]]
[3,2,1,5,4,6]=>[5,3,2,1,4,6]=>[6,4,1,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],.]
[3,2,1,5,6,4]=>[5,3,2,1,6,4]=>[4,6,1,2,3,5]=>[[.,[.,[.,.]]],[[.,.],.]]
[3,2,1,6,4,5]=>[3,6,2,1,4,5]=>[5,4,1,2,6,3]=>[[[.,[.,[.,.]]],.],[.,.]]
[3,2,1,6,5,4]=>[6,5,3,2,1,4]=>[4,1,2,3,5,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[3,2,4,1,5,6]=>[3,2,4,1,5,6]=>[6,5,1,4,2,3]=>[[[.,[[.,[.,.]],.]],.],.]
[3,2,4,1,6,5]=>[6,3,2,4,1,5]=>[5,1,4,2,3,6]=>[[.,[[.,[.,.]],.]],[.,.]]
[3,2,4,5,1,6]=>[3,2,4,5,1,6]=>[6,1,5,4,2,3]=>[[.,[[[.,[.,.]],.],.]],.]
[3,2,4,5,6,1]=>[3,2,4,5,6,1]=>[1,6,5,4,2,3]=>[.,[[[[.,[.,.]],.],.],.]]
[3,2,4,6,1,5]=>[3,2,4,1,6,5]=>[5,6,1,4,2,3]=>[[.,[[.,[.,.]],.]],[.,.]]
[3,2,4,6,5,1]=>[6,3,2,4,5,1]=>[1,5,4,2,3,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[3,2,5,1,4,6]=>[3,2,1,5,4,6]=>[6,4,5,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],.]
[3,2,5,1,6,4]=>[5,3,2,6,1,4]=>[4,1,6,2,3,5]=>[[.,[.,[.,.]]],[[.,.],.]]
[3,2,5,4,1,6]=>[5,3,2,4,1,6]=>[6,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],.]
[3,2,5,4,6,1]=>[5,3,2,4,6,1]=>[1,6,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],.]]
[3,2,5,6,1,4]=>[3,2,1,5,6,4]=>[4,6,5,1,2,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[3,2,5,6,4,1]=>[5,3,2,6,4,1]=>[1,4,6,2,3,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,2,6,1,4,5]=>[3,2,1,4,6,5]=>[5,6,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,.]]
[3,2,6,1,5,4]=>[6,3,2,1,5,4]=>[4,5,1,2,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[3,2,6,4,1,5]=>[3,6,2,4,1,5]=>[5,1,4,2,6,3]=>[[.,[[.,[.,.]],.]],[.,.]]
[3,2,6,4,5,1]=>[3,6,2,4,5,1]=>[1,5,4,2,6,3]=>[.,[[[.,[.,.]],.],[.,.]]]
[3,2,6,5,1,4]=>[3,6,2,1,5,4]=>[4,5,1,2,6,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[3,2,6,5,4,1]=>[6,5,3,2,4,1]=>[1,4,2,3,5,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[3,4,1,2,5,6]=>[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>[[[[.,.],[[.,.],.]],.],.]
[3,4,1,2,6,5]=>[6,1,3,4,2,5]=>[5,2,4,3,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[3,4,1,5,2,6]=>[3,4,5,1,2,6]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,4,1,5,6,2]=>[3,4,5,1,6,2]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,1,6,2,5]=>[3,4,1,6,2,5]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,4,1,6,5,2]=>[6,3,4,5,1,2]=>[2,1,5,4,3,6]=>[[.,.],[[[.,.],.],[.,.]]]
[3,4,2,1,5,6]=>[3,4,2,1,5,6]=>[6,5,1,2,4,3]=>[[[.,[.,[[.,.],.]]],.],.]
[3,4,2,1,6,5]=>[6,3,4,2,1,5]=>[5,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[3,4,2,5,1,6]=>[3,4,2,5,1,6]=>[6,1,5,2,4,3]=>[[.,[[.,[[.,.],.]],.]],.]
[3,4,2,5,6,1]=>[3,4,2,5,6,1]=>[1,6,5,2,4,3]=>[.,[[[.,[[.,.],.]],.],.]]
[3,4,2,6,1,5]=>[3,4,2,1,6,5]=>[5,6,1,2,4,3]=>[[.,[.,[[.,.],.]]],[.,.]]
[3,4,2,6,5,1]=>[6,3,4,2,5,1]=>[1,5,2,4,3,6]=>[.,[[.,[[.,.],.]],[.,.]]]
[3,4,5,1,2,6]=>[1,3,4,5,2,6]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[3,4,5,1,6,2]=>[3,4,5,6,1,2]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,5,2,1,6]=>[3,4,5,2,1,6]=>[6,1,2,5,4,3]=>[[.,[.,[[[.,.],.],.]]],.]
[3,4,5,2,6,1]=>[3,4,5,2,6,1]=>[1,6,2,5,4,3]=>[.,[[.,[[[.,.],.],.]],.]]
[3,4,5,6,1,2]=>[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,5,6,2,1]=>[3,4,5,6,2,1]=>[1,2,6,5,4,3]=>[.,[.,[[[[.,.],.],.],.]]]
[3,4,6,1,2,5]=>[1,3,4,2,6,5]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[3,4,6,1,5,2]=>[3,4,6,1,5,2]=>[2,5,1,6,4,3]=>[[.,.],[[[.,.],.],[.,.]]]
[3,4,6,2,1,5]=>[3,4,2,6,1,5]=>[5,1,6,2,4,3]=>[[.,[.,[[.,.],.]]],[.,.]]
[3,4,6,2,5,1]=>[3,4,2,6,5,1]=>[1,5,6,2,4,3]=>[.,[[.,[[.,.],.]],[.,.]]]
[3,4,6,5,1,2]=>[1,6,3,4,5,2]=>[2,5,4,3,6,1]=>[[.,.],[[[.,.],.],[.,.]]]
[3,4,6,5,2,1]=>[6,3,4,5,2,1]=>[1,2,5,4,3,6]=>[.,[.,[[[.,.],.],[.,.]]]]
[3,5,1,2,4,6]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[3,5,1,2,6,4]=>[5,1,3,6,2,4]=>[4,2,6,3,1,5]=>[[[.,.],[.,.]],[[.,.],.]]
[3,5,1,4,2,6]=>[3,5,1,4,2,6]=>[6,2,4,1,5,3]=>[[[.,.],[[.,.],[.,.]]],.]
[3,5,1,4,6,2]=>[3,5,1,4,6,2]=>[2,6,4,1,5,3]=>[[.,.],[[[.,.],[.,.]],.]]
[3,5,1,6,2,4]=>[3,1,5,6,2,4]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,5,1,6,4,2]=>[5,3,6,4,1,2]=>[2,1,4,6,3,5]=>[[.,.],[[.,.],[[.,.],.]]]
[3,5,2,1,4,6]=>[3,2,5,1,4,6]=>[6,4,1,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],.]
[3,5,2,1,6,4]=>[5,3,6,2,1,4]=>[4,1,2,6,3,5]=>[[.,[.,[.,.]]],[[.,.],.]]
[3,5,2,4,1,6]=>[3,2,5,4,1,6]=>[6,1,4,5,2,3]=>[[.,[[.,[.,.]],[.,.]]],.]
[3,5,2,4,6,1]=>[3,2,5,4,6,1]=>[1,6,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],.]]
[3,5,2,6,1,4]=>[3,2,5,1,6,4]=>[4,6,1,5,2,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[3,5,2,6,4,1]=>[5,3,6,2,4,1]=>[1,4,2,6,3,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,5,4,1,2,6]=>[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,5,4,1,6,2]=>[5,3,4,6,1,2]=>[2,1,6,4,3,5]=>[[.,.],[[[.,.],[.,.]],.]]
[3,5,4,2,1,6]=>[5,3,4,2,1,6]=>[6,1,2,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,5,4,2,6,1]=>[5,3,4,2,6,1]=>[1,6,2,4,3,5]=>[.,[[.,[[.,.],[.,.]]],.]]
[3,5,4,6,1,2]=>[1,5,3,4,6,2]=>[2,6,4,3,5,1]=>[[.,.],[[[.,.],[.,.]],.]]
[3,5,4,6,2,1]=>[5,3,4,6,2,1]=>[1,2,6,4,3,5]=>[.,[.,[[[.,.],[.,.]],.]]]
[3,5,6,1,2,4]=>[1,3,2,5,6,4]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[3,5,6,1,4,2]=>[3,5,1,6,4,2]=>[2,4,6,1,5,3]=>[[.,.],[[.,.],[[.,.],.]]]
[3,5,6,2,1,4]=>[3,2,5,6,1,4]=>[4,1,6,5,2,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[3,5,6,2,4,1]=>[3,2,5,6,4,1]=>[1,4,6,5,2,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[3,5,6,4,1,2]=>[1,5,3,6,4,2]=>[2,4,6,3,5,1]=>[[.,.],[[.,.],[[.,.],.]]]
[3,5,6,4,2,1]=>[5,3,6,4,2,1]=>[1,2,4,6,3,5]=>[.,[.,[[.,.],[[.,.],.]]]]
[3,6,1,2,4,5]=>[1,3,2,4,6,5]=>[5,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[3,6,1,2,5,4]=>[6,1,3,2,5,4]=>[4,5,2,3,1,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[3,6,1,4,2,5]=>[3,1,6,4,2,5]=>[5,2,4,6,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,6,1,4,5,2]=>[3,4,1,6,5,2]=>[2,5,6,1,4,3]=>[[.,.],[[[.,.],.],[.,.]]]
[3,6,1,5,2,4]=>[3,1,6,2,5,4]=>[4,5,2,6,1,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[3,6,1,5,4,2]=>[6,3,5,1,4,2]=>[2,4,1,5,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[3,6,2,1,4,5]=>[3,2,1,6,4,5]=>[5,4,6,1,2,3]=>[[[.,[.,[.,.]]],.],[.,.]]
[3,6,2,1,5,4]=>[6,3,2,5,1,4]=>[4,1,5,2,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[3,6,2,4,1,5]=>[3,2,4,6,1,5]=>[5,1,6,4,2,3]=>[[.,[[.,[.,.]],.]],[.,.]]
[3,6,2,4,5,1]=>[3,2,4,6,5,1]=>[1,5,6,4,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]
[3,6,2,5,1,4]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[3,6,2,5,4,1]=>[6,3,2,5,4,1]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[3,6,4,1,2,5]=>[1,3,6,4,2,5]=>[5,2,4,6,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[3,6,4,1,5,2]=>[3,6,4,5,1,2]=>[2,1,5,4,6,3]=>[[.,.],[[[.,.],.],[.,.]]]
[3,6,4,2,1,5]=>[3,6,4,2,1,5]=>[5,1,2,4,6,3]=>[[.,[.,[[.,.],.]]],[.,.]]
[3,6,4,2,5,1]=>[3,6,4,2,5,1]=>[1,5,2,4,6,3]=>[.,[[.,[[.,.],.]],[.,.]]]
[3,6,4,5,1,2]=>[1,3,6,4,5,2]=>[2,5,4,6,3,1]=>[[.,.],[[[.,.],.],[.,.]]]
[3,6,4,5,2,1]=>[3,6,4,5,2,1]=>[1,2,5,4,6,3]=>[.,[.,[[[.,.],.],[.,.]]]]
[3,6,5,1,2,4]=>[1,3,6,2,5,4]=>[4,5,2,6,3,1]=>[[[.,.],[.,.]],[.,[.,.]]]
[3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[2,4,1,5,6,3]=>[[.,.],[[.,.],[.,[.,.]]]]
[3,6,5,2,1,4]=>[3,6,2,5,1,4]=>[4,1,5,2,6,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[3,6,5,2,4,1]=>[3,6,2,5,4,1]=>[1,4,5,2,6,3]=>[.,[[.,[.,.]],[.,[.,.]]]]
[3,6,5,4,1,2]=>[1,6,5,3,4,2]=>[2,4,3,5,6,1]=>[[.,.],[[.,.],[.,[.,.]]]]
[3,6,5,4,2,1]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[4,1,2,3,5,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[4,1,2,3,6,5]=>[6,1,2,4,3,5]=>[5,3,4,2,1,6]=>[[[[.,.],.],[.,.]],[.,.]]
[4,1,2,5,3,6]=>[4,1,5,2,3,6]=>[6,3,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],.]
[4,1,2,5,6,3]=>[4,1,5,2,6,3]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,1,2,6,3,5]=>[4,1,2,6,3,5]=>[5,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,1,2,6,5,3]=>[6,4,1,5,2,3]=>[3,2,5,1,4,6]=>[[[.,.],.],[[.,.],[.,.]]]
[4,1,3,2,5,6]=>[4,1,3,2,5,6]=>[6,5,2,3,1,4]=>[[[[.,.],[.,[.,.]]],.],.]
[4,1,3,2,6,5]=>[6,4,1,3,2,5]=>[5,2,3,1,4,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,1,3,5,2,6]=>[4,1,3,5,2,6]=>[6,2,5,3,1,4]=>[[[.,.],[[.,[.,.]],.]],.]
[4,1,3,5,6,2]=>[4,1,3,5,6,2]=>[2,6,5,3,1,4]=>[[.,.],[[[.,[.,.]],.],.]]
[4,1,3,6,2,5]=>[4,1,3,2,6,5]=>[5,6,2,3,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,1,3,6,5,2]=>[6,4,1,3,5,2]=>[2,5,3,1,4,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,1,5,2,3,6]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[4,1,5,2,6,3]=>[4,5,6,1,2,3]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,1,5,3,2,6]=>[4,5,3,1,2,6]=>[6,2,1,3,5,4]=>[[[.,.],[.,[[.,.],.]]],.]
[4,1,5,3,6,2]=>[4,5,3,1,6,2]=>[2,6,1,3,5,4]=>[[.,.],[[.,[[.,.],.]],.]]
[4,1,5,6,2,3]=>[1,4,5,2,6,3]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,1,5,6,3,2]=>[4,5,6,1,3,2]=>[2,3,1,6,5,4]=>[[.,.],[.,[[[.,.],.],.]]]
[4,1,6,2,3,5]=>[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[4,1,6,2,5,3]=>[4,6,1,5,2,3]=>[3,2,5,1,6,4]=>[[[.,.],.],[[.,.],[.,.]]]
[4,1,6,3,2,5]=>[4,3,6,1,2,5]=>[5,2,1,6,3,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,1,6,3,5,2]=>[4,6,1,3,5,2]=>[2,5,3,1,6,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,1,6,5,2,3]=>[1,6,4,5,2,3]=>[3,2,5,4,6,1]=>[[[.,.],.],[[.,.],[.,.]]]
[4,1,6,5,3,2]=>[6,4,5,3,1,2]=>[2,1,3,5,4,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[4,2,1,3,5,6]=>[2,4,1,3,5,6]=>[6,5,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],.]
[4,2,1,3,6,5]=>[6,2,4,1,3,5]=>[5,3,1,4,2,6]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,2,1,5,3,6]=>[4,5,2,1,3,6]=>[6,3,1,2,5,4]=>[[[.,[.,.]],[[.,.],.]],.]
[4,2,1,5,6,3]=>[4,5,2,1,6,3]=>[3,6,1,2,5,4]=>[[.,[.,.]],[[[.,.],.],.]]
[4,2,1,6,3,5]=>[4,2,6,1,3,5]=>[5,3,1,6,2,4]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,2,1,6,5,3]=>[6,4,5,2,1,3]=>[3,1,2,5,4,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,3,1,5,6]=>[2,4,3,1,5,6]=>[6,5,1,3,4,2]=>[[[.,[[.,.],[.,.]]],.],.]
[4,2,3,1,6,5]=>[6,2,4,3,1,5]=>[5,1,3,4,2,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,2,3,5,1,6]=>[2,4,3,5,1,6]=>[6,1,5,3,4,2]=>[[.,[[[.,.],[.,.]],.]],.]
[4,2,3,5,6,1]=>[2,4,3,5,6,1]=>[1,6,5,3,4,2]=>[.,[[[[.,.],[.,.]],.],.]]
[4,2,3,6,1,5]=>[2,4,3,1,6,5]=>[5,6,1,3,4,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,2,3,6,5,1]=>[6,2,4,3,5,1]=>[1,5,3,4,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,2,5,1,3,6]=>[2,4,1,5,3,6]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[4,2,5,1,6,3]=>[4,5,2,6,1,3]=>[3,1,6,2,5,4]=>[[.,[.,.]],[[[.,.],.],.]]
[4,2,5,3,1,6]=>[4,5,2,3,1,6]=>[6,1,3,2,5,4]=>[[.,[[.,.],[[.,.],.]]],.]
[4,2,5,3,6,1]=>[4,5,2,3,6,1]=>[1,6,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],.]]
[4,2,5,6,1,3]=>[2,4,1,5,6,3]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,2,5,6,3,1]=>[4,5,2,6,3,1]=>[1,3,6,2,5,4]=>[.,[[.,.],[[[.,.],.],.]]]
[4,2,6,1,3,5]=>[2,4,1,3,6,5]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,2,6,1,5,3]=>[4,6,2,1,5,3]=>[3,5,1,2,6,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,6,3,1,5]=>[4,2,6,3,1,5]=>[5,1,3,6,2,4]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,2,6,3,5,1]=>[4,2,6,3,5,1]=>[1,5,3,6,2,4]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,2,6,5,1,3]=>[2,6,4,1,5,3]=>[3,5,1,4,6,2]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,2,6,5,3,1]=>[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[4,3,1,2,5,6]=>[1,4,3,2,5,6]=>[6,5,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],.]
[4,3,1,2,6,5]=>[6,1,4,3,2,5]=>[5,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,3,1,5,2,6]=>[4,3,5,1,2,6]=>[6,2,1,5,3,4]=>[[[.,.],[[.,[.,.]],.]],.]
[4,3,1,5,6,2]=>[4,3,5,1,6,2]=>[2,6,1,5,3,4]=>[[.,.],[[[.,[.,.]],.],.]]
[4,3,1,6,2,5]=>[4,3,1,6,2,5]=>[5,2,6,1,3,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,3,1,6,5,2]=>[6,4,3,5,1,2]=>[2,1,5,3,4,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[6,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],.]
[4,3,2,1,6,5]=>[6,4,3,2,1,5]=>[5,1,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[.,.]]
[4,3,2,5,1,6]=>[4,3,2,5,1,6]=>[6,1,5,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],.]
[4,3,2,5,6,1]=>[4,3,2,5,6,1]=>[1,6,5,2,3,4]=>[.,[[[.,[.,[.,.]]],.],.]]
[4,3,2,6,1,5]=>[4,3,2,1,6,5]=>[5,6,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,.]]
[4,3,2,6,5,1]=>[6,4,3,2,5,1]=>[1,5,2,3,4,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[4,3,5,1,2,6]=>[1,4,3,5,2,6]=>[6,2,5,3,4,1]=>[[[.,.],[[.,[.,.]],.]],.]
[4,3,5,1,6,2]=>[4,3,5,6,1,2]=>[2,1,6,5,3,4]=>[[.,.],[[[.,[.,.]],.],.]]
[4,3,5,2,1,6]=>[4,3,5,2,1,6]=>[6,1,2,5,3,4]=>[[.,[.,[[.,[.,.]],.]]],.]
[4,3,5,2,6,1]=>[4,3,5,2,6,1]=>[1,6,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],.]]
[4,3,5,6,1,2]=>[1,4,3,5,6,2]=>[2,6,5,3,4,1]=>[[.,.],[[[.,[.,.]],.],.]]
[4,3,5,6,2,1]=>[4,3,5,6,2,1]=>[1,2,6,5,3,4]=>[.,[.,[[[.,[.,.]],.],.]]]
[4,3,6,1,2,5]=>[1,4,3,2,6,5]=>[5,6,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,3,6,1,5,2]=>[4,3,6,1,5,2]=>[2,5,1,6,3,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,3,6,2,1,5]=>[4,3,2,6,1,5]=>[5,1,6,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,.]]
[4,3,6,2,5,1]=>[4,3,2,6,5,1]=>[1,5,6,2,3,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[4,3,6,5,1,2]=>[1,6,4,3,5,2]=>[2,5,3,4,6,1]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,3,6,5,2,1]=>[6,4,3,5,2,1]=>[1,2,5,3,4,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[4,5,1,2,3,6]=>[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],.]
[4,5,1,2,6,3]=>[4,1,5,6,2,3]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,5,1,3,2,6]=>[4,1,5,3,2,6]=>[6,2,3,5,1,4]=>[[[.,.],[.,[[.,.],.]]],.]
[4,5,1,3,6,2]=>[4,1,5,3,6,2]=>[2,6,3,5,1,4]=>[[.,.],[[.,[[.,.],.]],.]]
[4,5,1,6,2,3]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,5,1,6,3,2]=>[4,5,6,3,1,2]=>[2,1,3,6,5,4]=>[[.,.],[.,[[[.,.],.],.]]]
[4,5,2,1,3,6]=>[2,4,5,1,3,6]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[4,5,2,1,6,3]=>[4,5,6,2,1,3]=>[3,1,2,6,5,4]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,2,3,1,6]=>[2,4,5,3,1,6]=>[6,1,3,5,4,2]=>[[.,[[.,.],[[.,.],.]]],.]
[4,5,2,3,6,1]=>[2,4,5,3,6,1]=>[1,6,3,5,4,2]=>[.,[[[.,.],[[.,.],.]],.]]
[4,5,2,6,1,3]=>[2,4,5,1,6,3]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,2,6,3,1]=>[4,5,6,2,3,1]=>[1,3,2,6,5,4]=>[.,[[.,.],[[[.,.],.],.]]]
[4,5,3,1,2,6]=>[1,4,5,3,2,6]=>[6,2,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[4,5,3,1,6,2]=>[4,5,3,6,1,2]=>[2,1,6,3,5,4]=>[[.,.],[[.,[[.,.],.]],.]]
[4,5,3,2,1,6]=>[4,5,3,2,1,6]=>[6,1,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],.]
[4,5,3,2,6,1]=>[4,5,3,2,6,1]=>[1,6,2,3,5,4]=>[.,[[.,[.,[[.,.],.]]],.]]
[4,5,3,6,1,2]=>[1,4,5,3,6,2]=>[2,6,3,5,4,1]=>[[.,.],[[.,[[.,.],.]],.]]
[4,5,3,6,2,1]=>[4,5,3,6,2,1]=>[1,2,6,3,5,4]=>[.,[.,[[.,[[.,.],.]],.]]]
[4,5,6,1,2,3]=>[1,2,4,5,6,3]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,5,6,1,3,2]=>[4,1,5,6,3,2]=>[2,3,6,5,1,4]=>[[.,.],[.,[[[.,.],.],.]]]
[4,5,6,2,1,3]=>[2,4,5,6,1,3]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,6,2,3,1]=>[2,4,5,6,3,1]=>[1,3,6,5,4,2]=>[.,[[.,.],[[[.,.],.],.]]]
[4,5,6,3,1,2]=>[1,4,5,6,3,2]=>[2,3,6,5,4,1]=>[[.,.],[.,[[[.,.],.],.]]]
[4,5,6,3,2,1]=>[4,5,6,3,2,1]=>[1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]]
[4,6,1,2,3,5]=>[1,2,4,3,6,5]=>[5,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[4,6,1,2,5,3]=>[4,1,6,2,5,3]=>[3,5,2,6,1,4]=>[[[.,.],.],[[.,.],[.,.]]]
[4,6,1,3,2,5]=>[4,1,3,6,2,5]=>[5,2,6,3,1,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,6,1,3,5,2]=>[4,1,3,6,5,2]=>[2,5,6,3,1,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,6,1,5,2,3]=>[1,4,6,2,5,3]=>[3,5,2,6,4,1]=>[[[.,.],.],[[.,.],[.,.]]]
[4,6,1,5,3,2]=>[4,6,5,1,3,2]=>[2,3,1,5,6,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[4,6,2,1,3,5]=>[2,4,1,6,3,5]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,6,2,1,5,3]=>[4,6,2,5,1,3]=>[3,1,5,2,6,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,6,2,3,1,5]=>[2,4,3,6,1,5]=>[5,1,6,3,4,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,6,2,3,5,1]=>[2,4,3,6,5,1]=>[1,5,6,3,4,2]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,6,2,5,1,3]=>[2,4,1,6,5,3]=>[3,5,6,1,4,2]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,6,2,5,3,1]=>[4,6,2,5,3,1]=>[1,3,5,2,6,4]=>[.,[[.,.],[[.,.],[.,.]]]]
[4,6,3,1,2,5]=>[1,4,3,6,2,5]=>[5,2,6,3,4,1]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,6,3,1,5,2]=>[4,3,6,5,1,2]=>[2,1,5,6,3,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,6,3,2,1,5]=>[4,3,6,2,1,5]=>[5,1,2,6,3,4]=>[[.,[.,[.,[.,.]]]],[.,.]]
[4,6,3,2,5,1]=>[4,3,6,2,5,1]=>[1,5,2,6,3,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[4,6,3,5,1,2]=>[1,4,3,6,5,2]=>[2,5,6,3,4,1]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,6,3,5,2,1]=>[4,3,6,5,2,1]=>[1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]
[4,6,5,1,2,3]=>[1,2,6,4,5,3]=>[3,5,4,6,2,1]=>[[[.,.],.],[[.,.],[.,.]]]
[4,6,5,1,3,2]=>[6,1,4,5,3,2]=>[2,3,5,4,1,6]=>[[.,.],[.,[[.,.],[.,.]]]]
[4,6,5,2,1,3]=>[2,6,4,5,1,3]=>[3,1,5,4,6,2]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,6,5,2,3,1]=>[2,6,4,5,3,1]=>[1,3,5,4,6,2]=>[.,[[.,.],[[.,.],[.,.]]]]
[4,6,5,3,1,2]=>[1,6,4,5,3,2]=>[2,3,5,4,6,1]=>[[.,.],[.,[[.,.],[.,.]]]]
[4,6,5,3,2,1]=>[6,4,5,3,2,1]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[5,1,2,3,4,6]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],.]
[5,1,2,3,6,4]=>[5,1,2,6,3,4]=>[4,3,6,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[5,1,2,4,3,6]=>[5,1,2,4,3,6]=>[6,3,4,2,1,5]=>[[[[.,.],.],[.,[.,.]]],.]
[5,1,2,4,6,3]=>[5,1,2,4,6,3]=>[3,6,4,2,1,5]=>[[[.,.],.],[[.,[.,.]],.]]
[5,1,2,6,3,4]=>[1,5,2,6,3,4]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[5,1,2,6,4,3]=>[5,6,1,4,2,3]=>[3,2,4,1,6,5]=>[[[.,.],.],[.,[[.,.],.]]]
[5,1,3,2,4,6]=>[1,5,3,2,4,6]=>[6,4,2,3,5,1]=>[[[[.,.],[.,.]],[.,.]],.]
[5,1,3,2,6,4]=>[5,6,1,3,2,4]=>[4,2,3,1,6,5]=>[[[.,.],[.,.]],[[.,.],.]]
[5,1,3,4,2,6]=>[3,1,5,4,2,6]=>[6,2,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],.]
[5,1,3,4,6,2]=>[3,1,5,4,6,2]=>[2,6,4,5,1,3]=>[[.,.],[[[.,.],[.,.]],.]]
[5,1,3,6,2,4]=>[1,5,3,2,6,4]=>[4,6,2,3,5,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,1,3,6,4,2]=>[5,6,1,3,4,2]=>[2,4,3,1,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[5,1,4,2,3,6]=>[1,5,2,4,3,6]=>[6,3,4,2,5,1]=>[[[[.,.],.],[.,[.,.]]],.]
[5,1,4,2,6,3]=>[5,4,1,6,2,3]=>[3,2,6,1,4,5]=>[[[.,.],.],[[.,[.,.]],.]]
[5,1,4,3,2,6]=>[5,4,1,3,2,6]=>[6,2,3,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],.]
[5,1,4,3,6,2]=>[5,4,1,3,6,2]=>[2,6,3,1,4,5]=>[[.,.],[[.,[.,[.,.]]],.]]
[5,1,4,6,2,3]=>[1,5,2,4,6,3]=>[3,6,4,2,5,1]=>[[[.,.],.],[[.,[.,.]],.]]
[5,1,4,6,3,2]=>[5,4,1,6,3,2]=>[2,3,6,1,4,5]=>[[.,.],[.,[[.,[.,.]],.]]]
[5,1,6,2,3,4]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[5,1,6,2,4,3]=>[5,1,6,4,2,3]=>[3,2,4,6,1,5]=>[[[.,.],.],[.,[[.,.],.]]]
[5,1,6,3,2,4]=>[3,5,6,1,2,4]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,1,6,3,4,2]=>[5,1,6,3,4,2]=>[2,4,3,6,1,5]=>[[.,.],[[.,.],[[.,.],.]]]
[5,1,6,4,2,3]=>[1,5,6,4,2,3]=>[3,2,4,6,5,1]=>[[[.,.],.],[.,[[.,.],.]]]
[5,1,6,4,3,2]=>[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,2,1,3,4,6]=>[2,1,5,3,4,6]=>[6,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],.]
[5,2,1,3,6,4]=>[5,2,6,1,3,4]=>[4,3,1,6,2,5]=>[[[.,[.,.]],.],[[.,.],.]]
[5,2,1,4,3,6]=>[5,2,4,1,3,6]=>[6,3,1,4,2,5]=>[[[.,[.,.]],[.,[.,.]]],.]
[5,2,1,4,6,3]=>[5,2,4,1,6,3]=>[3,6,1,4,2,5]=>[[.,[.,.]],[[.,[.,.]],.]]
[5,2,1,6,3,4]=>[2,5,6,1,3,4]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,2,1,6,4,3]=>[5,6,4,2,1,3]=>[3,1,2,4,6,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,2,3,1,4,6]=>[2,3,5,1,4,6]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[5,2,3,1,6,4]=>[5,2,6,3,1,4]=>[4,1,3,6,2,5]=>[[.,[[.,.],.]],[[.,.],.]]
[5,2,3,4,1,6]=>[2,3,5,4,1,6]=>[6,1,4,5,3,2]=>[[.,[[[.,.],.],[.,.]]],.]
[5,2,3,4,6,1]=>[2,3,5,4,6,1]=>[1,6,4,5,3,2]=>[.,[[[[.,.],.],[.,.]],.]]
[5,2,3,6,1,4]=>[2,3,5,1,6,4]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[5,2,3,6,4,1]=>[5,2,6,3,4,1]=>[1,4,3,6,2,5]=>[.,[[[.,.],.],[[.,.],.]]]
[5,2,4,1,3,6]=>[2,1,5,4,3,6]=>[6,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],.]
[5,2,4,1,6,3]=>[5,2,4,6,1,3]=>[3,1,6,4,2,5]=>[[.,[.,.]],[[.,[.,.]],.]]
[5,2,4,3,1,6]=>[5,2,4,3,1,6]=>[6,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,2,4,3,6,1]=>[5,2,4,3,6,1]=>[1,6,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],.]]
[5,2,4,6,1,3]=>[2,1,5,4,6,3]=>[3,6,4,5,1,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[5,2,4,6,3,1]=>[5,2,4,6,3,1]=>[1,3,6,4,2,5]=>[.,[[.,.],[[.,[.,.]],.]]]
[5,2,6,1,3,4]=>[2,1,5,3,6,4]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,2,6,1,4,3]=>[5,2,6,1,4,3]=>[3,4,1,6,2,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,2,6,3,1,4]=>[2,5,6,3,1,4]=>[4,1,3,6,5,2]=>[[.,[[.,.],.]],[[.,.],.]]
[5,2,6,3,4,1]=>[2,5,6,3,4,1]=>[1,4,3,6,5,2]=>[.,[[[.,.],.],[[.,.],.]]]
[5,2,6,4,1,3]=>[2,5,6,1,4,3]=>[3,4,1,6,5,2]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,2,6,4,3,1]=>[5,6,4,2,3,1]=>[1,3,2,4,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]
[5,3,1,2,4,6]=>[1,3,5,2,4,6]=>[6,4,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[5,3,1,2,6,4]=>[5,1,6,3,2,4]=>[4,2,3,6,1,5]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,1,4,2,6]=>[3,5,4,1,2,6]=>[6,2,1,4,5,3]=>[[[.,.],[[.,.],[.,.]]],.]
[5,3,1,4,6,2]=>[3,5,4,1,6,2]=>[2,6,1,4,5,3]=>[[.,.],[[[.,.],[.,.]],.]]
[5,3,1,6,2,4]=>[3,5,1,6,2,4]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,1,6,4,2]=>[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[5,3,2,1,4,6]=>[3,5,2,1,4,6]=>[6,4,1,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,3,2,1,6,4]=>[5,6,3,2,1,4]=>[4,1,2,3,6,5]=>[[.,[.,[.,.]]],[[.,.],.]]
[5,3,2,4,1,6]=>[3,5,2,4,1,6]=>[6,1,4,2,5,3]=>[[.,[[.,[.,.]],[.,.]]],.]
[5,3,2,4,6,1]=>[3,5,2,4,6,1]=>[1,6,4,2,5,3]=>[.,[[[.,[.,.]],[.,.]],.]]
[5,3,2,6,1,4]=>[3,5,2,1,6,4]=>[4,6,1,2,5,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[5,3,2,6,4,1]=>[5,6,3,2,4,1]=>[1,4,2,3,6,5]=>[.,[[.,[.,.]],[[.,.],.]]]
[5,3,4,1,2,6]=>[1,3,5,4,2,6]=>[6,2,4,5,3,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,3,4,1,6,2]=>[3,5,4,6,1,2]=>[2,1,6,4,5,3]=>[[.,.],[[[.,.],[.,.]],.]]
[5,3,4,2,1,6]=>[3,5,4,2,1,6]=>[6,1,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,3,4,2,6,1]=>[3,5,4,2,6,1]=>[1,6,2,4,5,3]=>[.,[[.,[[.,.],[.,.]]],.]]
[5,3,4,6,1,2]=>[1,3,5,4,6,2]=>[2,6,4,5,3,1]=>[[.,.],[[[.,.],[.,.]],.]]
[5,3,4,6,2,1]=>[3,5,4,6,2,1]=>[1,2,6,4,5,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[5,3,6,1,2,4]=>[1,3,5,2,6,4]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,6,1,4,2]=>[3,5,6,1,4,2]=>[2,4,1,6,5,3]=>[[.,.],[[.,.],[[.,.],.]]]
[5,3,6,2,1,4]=>[3,5,2,6,1,4]=>[4,1,6,2,5,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[5,3,6,2,4,1]=>[3,5,2,6,4,1]=>[1,4,6,2,5,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[5,3,6,4,1,2]=>[1,5,6,3,4,2]=>[2,4,3,6,5,1]=>[[.,.],[[.,.],[[.,.],.]]]
[5,3,6,4,2,1]=>[5,6,3,4,2,1]=>[1,2,4,3,6,5]=>[.,[.,[[.,.],[[.,.],.]]]]
[5,4,1,2,3,6]=>[1,2,5,4,3,6]=>[6,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],.]
[5,4,1,2,6,3]=>[5,1,4,6,2,3]=>[3,2,6,4,1,5]=>[[[.,.],.],[[.,[.,.]],.]]
[5,4,1,3,2,6]=>[5,1,4,3,2,6]=>[6,2,3,4,1,5]=>[[[.,.],[.,[.,[.,.]]]],.]
[5,4,1,3,6,2]=>[5,1,4,3,6,2]=>[2,6,3,4,1,5]=>[[.,.],[[.,[.,[.,.]]],.]]
[5,4,1,6,2,3]=>[1,5,4,6,2,3]=>[3,2,6,4,5,1]=>[[[.,.],.],[[.,[.,.]],.]]
[5,4,1,6,3,2]=>[5,4,6,3,1,2]=>[2,1,3,6,4,5]=>[[.,.],[.,[[.,[.,.]],.]]]
[5,4,2,1,3,6]=>[2,5,4,1,3,6]=>[6,3,1,4,5,2]=>[[[.,[.,.]],[.,[.,.]]],.]
[5,4,2,1,6,3]=>[5,4,6,2,1,3]=>[3,1,2,6,4,5]=>[[.,[.,.]],[[.,[.,.]],.]]
[5,4,2,3,1,6]=>[2,5,4,3,1,6]=>[6,1,3,4,5,2]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,4,2,3,6,1]=>[2,5,4,3,6,1]=>[1,6,3,4,5,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[5,4,2,6,1,3]=>[2,5,4,1,6,3]=>[3,6,1,4,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[5,4,2,6,3,1]=>[5,4,6,2,3,1]=>[1,3,2,6,4,5]=>[.,[[.,.],[[.,[.,.]],.]]]
[5,4,3,1,2,6]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[5,4,3,1,6,2]=>[5,4,3,6,1,2]=>[2,1,6,3,4,5]=>[[.,.],[[.,[.,[.,.]]],.]]
[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[6,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],.]
[5,4,3,2,6,1]=>[5,4,3,2,6,1]=>[1,6,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],.]]
[5,4,3,6,1,2]=>[1,5,4,3,6,2]=>[2,6,3,4,5,1]=>[[.,.],[[.,[.,[.,.]]],.]]
[5,4,3,6,2,1]=>[5,4,3,6,2,1]=>[1,2,6,3,4,5]=>[.,[.,[[.,[.,[.,.]]],.]]]
[5,4,6,1,2,3]=>[1,2,5,4,6,3]=>[3,6,4,5,2,1]=>[[[.,.],.],[[.,[.,.]],.]]
[5,4,6,1,3,2]=>[5,1,4,6,3,2]=>[2,3,6,4,1,5]=>[[.,.],[.,[[.,[.,.]],.]]]
[5,4,6,2,1,3]=>[2,5,4,6,1,3]=>[3,1,6,4,5,2]=>[[.,[.,.]],[[.,[.,.]],.]]
[5,4,6,2,3,1]=>[2,5,4,6,3,1]=>[1,3,6,4,5,2]=>[.,[[.,.],[[.,[.,.]],.]]]
[5,4,6,3,1,2]=>[1,5,4,6,3,2]=>[2,3,6,4,5,1]=>[[.,.],[.,[[.,[.,.]],.]]]
[5,4,6,3,2,1]=>[5,4,6,3,2,1]=>[1,2,3,6,4,5]=>[.,[.,[.,[[.,[.,.]],.]]]]
[5,6,1,2,3,4]=>[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[5,6,1,2,4,3]=>[5,1,2,6,4,3]=>[3,4,6,2,1,5]=>[[[.,.],.],[.,[[.,.],.]]]
[5,6,1,3,2,4]=>[1,5,3,6,2,4]=>[4,2,6,3,5,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,6,1,3,4,2]=>[3,1,5,6,4,2]=>[2,4,6,5,1,3]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,1,4,2,3]=>[1,5,2,6,4,3]=>[3,4,6,2,5,1]=>[[[.,.],.],[.,[[.,.],.]]]
[5,6,1,4,3,2]=>[5,6,1,4,3,2]=>[2,3,4,1,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,2,1,3,4]=>[2,1,5,6,3,4]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,2,1,4,3]=>[5,2,6,4,1,3]=>[3,1,4,6,2,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,6,2,3,1,4]=>[2,3,5,6,1,4]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[5,6,2,3,4,1]=>[2,3,5,6,4,1]=>[1,4,6,5,3,2]=>[.,[[[.,.],.],[[.,.],.]]]
[5,6,2,4,1,3]=>[2,1,5,6,4,3]=>[3,4,6,5,1,2]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,6,2,4,3,1]=>[5,2,6,4,3,1]=>[1,3,4,6,2,5]=>[.,[[.,.],[.,[[.,.],.]]]]
[5,6,3,1,2,4]=>[1,3,5,6,2,4]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,6,3,1,4,2]=>[3,5,6,4,1,2]=>[2,1,4,6,5,3]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,3,2,1,4]=>[3,5,6,2,1,4]=>[4,1,2,6,5,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[5,6,3,2,4,1]=>[3,5,6,2,4,1]=>[1,4,2,6,5,3]=>[.,[[.,[.,.]],[[.,.],.]]]
[5,6,3,4,1,2]=>[1,3,5,6,4,2]=>[2,4,6,5,3,1]=>[[.,.],[[.,.],[[.,.],.]]]
[5,6,3,4,2,1]=>[3,5,6,4,2,1]=>[1,2,4,6,5,3]=>[.,[.,[[.,.],[[.,.],.]]]]
[5,6,4,1,2,3]=>[1,2,5,6,4,3]=>[3,4,6,5,2,1]=>[[[.,.],.],[.,[[.,.],.]]]
[5,6,4,1,3,2]=>[5,1,6,4,3,2]=>[2,3,4,6,1,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,4,2,1,3]=>[2,5,6,4,1,3]=>[3,1,4,6,5,2]=>[[.,[.,.]],[.,[[.,.],.]]]
[5,6,4,2,3,1]=>[2,5,6,4,3,1]=>[1,3,4,6,5,2]=>[.,[[.,.],[.,[[.,.],.]]]]
[5,6,4,3,1,2]=>[1,5,6,4,3,2]=>[2,3,4,6,5,1]=>[[.,.],[.,[.,[[.,.],.]]]]
[5,6,4,3,2,1]=>[5,6,4,3,2,1]=>[1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]
[6,1,2,3,4,5]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>[[[[[.,.],.],.],.],[.,.]]
[6,1,2,3,5,4]=>[6,1,2,3,5,4]=>[4,5,3,2,1,6]=>[[[[.,.],.],.],[.,[.,.]]]
[6,1,2,4,3,5]=>[1,6,2,4,3,5]=>[5,3,4,2,6,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,1,2,4,5,3]=>[4,1,2,6,5,3]=>[3,5,6,2,1,4]=>[[[.,.],.],[[.,.],[.,.]]]
[6,1,2,5,3,4]=>[1,6,2,3,5,4]=>[4,5,3,2,6,1]=>[[[[.,.],.],.],[.,[.,.]]]
[6,1,2,5,4,3]=>[6,5,1,2,4,3]=>[3,4,2,1,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,1,3,2,4,5]=>[1,3,6,2,4,5]=>[5,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[6,1,3,2,5,4]=>[6,1,5,3,2,4]=>[4,2,3,5,1,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,1,3,4,2,5]=>[3,1,4,6,2,5]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[6,1,3,4,5,2]=>[3,1,4,6,5,2]=>[2,5,6,4,1,3]=>[[.,.],[[[.,.],.],[.,.]]]
[6,1,3,5,2,4]=>[3,1,2,6,5,4]=>[4,5,6,2,1,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,1,3,5,4,2]=>[6,3,1,5,4,2]=>[2,4,5,1,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,1,4,2,3,5]=>[1,2,6,4,3,5]=>[5,3,4,6,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,1,4,2,5,3]=>[6,1,4,5,2,3]=>[3,2,5,4,1,6]=>[[[.,.],.],[[.,.],[.,.]]]
[6,1,4,3,2,5]=>[4,6,1,3,2,5]=>[5,2,3,1,6,4]=>[[[.,.],[.,[.,.]]],[.,.]]
[6,1,4,3,5,2]=>[6,1,4,3,5,2]=>[2,5,3,4,1,6]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,1,4,5,2,3]=>[1,4,2,6,5,3]=>[3,5,6,2,4,1]=>[[[.,.],.],[[.,.],[.,.]]]
[6,1,4,5,3,2]=>[4,6,1,5,3,2]=>[2,3,5,1,6,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[6,1,5,2,3,4]=>[1,2,6,3,5,4]=>[4,5,3,6,2,1]=>[[[[.,.],.],.],[.,[.,.]]]
[6,1,5,2,4,3]=>[6,1,5,2,4,3]=>[3,4,2,5,1,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,1,5,3,2,4]=>[1,6,5,3,2,4]=>[4,2,3,5,6,1]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,1,5,3,4,2]=>[6,1,3,5,4,2]=>[2,4,5,3,1,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,1,5,4,2,3]=>[1,6,5,2,4,3]=>[3,4,2,5,6,1]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,1,5,4,3,2]=>[6,5,4,1,3,2]=>[2,3,1,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[6,2,1,3,4,5]=>[2,1,3,6,4,5]=>[5,4,6,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[6,2,1,3,5,4]=>[6,2,1,5,3,4]=>[4,3,5,1,2,6]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,2,1,4,3,5]=>[2,6,4,1,3,5]=>[5,3,1,4,6,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[6,2,1,4,5,3]=>[6,2,1,4,5,3]=>[3,5,4,1,2,6]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,1,5,3,4]=>[2,6,1,5,3,4]=>[4,3,5,1,6,2]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,2,1,5,4,3]=>[6,5,2,4,1,3]=>[3,1,4,2,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,2,3,1,4,5]=>[2,3,1,6,4,5]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[6,2,3,1,5,4]=>[6,2,3,5,1,4]=>[4,1,5,3,2,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,2,3,4,1,5]=>[2,3,4,6,1,5]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[6,2,3,4,5,1]=>[2,3,4,6,5,1]=>[1,5,6,4,3,2]=>[.,[[[[.,.],.],.],[.,.]]]
[6,2,3,5,1,4]=>[2,3,1,6,5,4]=>[4,5,6,1,3,2]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,2,3,5,4,1]=>[6,2,3,5,4,1]=>[1,4,5,3,2,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[6,2,4,1,3,5]=>[2,1,4,6,3,5]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[6,2,4,1,5,3]=>[4,2,6,5,1,3]=>[3,1,5,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,4,3,1,5]=>[2,6,4,3,1,5]=>[5,1,3,4,6,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[6,2,4,3,5,1]=>[2,6,4,3,5,1]=>[1,5,3,4,6,2]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,2,4,5,1,3]=>[2,1,4,6,5,3]=>[3,5,6,4,1,2]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,2,4,5,3,1]=>[4,2,6,5,3,1]=>[1,3,5,6,2,4]=>[.,[[.,.],[[.,.],[.,.]]]]
[6,2,5,1,3,4]=>[2,1,3,6,5,4]=>[4,5,6,3,1,2]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,2,5,1,4,3]=>[6,2,1,5,4,3]=>[3,4,5,1,2,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,2,5,3,1,4]=>[2,6,3,5,1,4]=>[4,1,5,3,6,2]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,2,5,3,4,1]=>[2,6,3,5,4,1]=>[1,4,5,3,6,2]=>[.,[[[.,.],.],[.,[.,.]]]]
[6,2,5,4,1,3]=>[2,6,1,5,4,3]=>[3,4,5,1,6,2]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,2,5,4,3,1]=>[6,5,2,4,3,1]=>[1,3,4,2,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[6,3,1,2,4,5]=>[1,3,2,6,4,5]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[6,3,1,2,5,4]=>[6,1,3,5,2,4]=>[4,2,5,3,1,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,3,1,4,2,5]=>[3,4,6,1,2,5]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[6,3,1,4,5,2]=>[3,6,1,4,5,2]=>[2,5,4,1,6,3]=>[[.,.],[[[.,.],.],[.,.]]]
[6,3,1,5,2,4]=>[3,1,6,5,2,4]=>[4,2,5,6,1,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,3,1,5,4,2]=>[6,3,5,4,1,2]=>[2,1,4,5,3,6]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,3,2,1,4,5]=>[3,2,6,1,4,5]=>[5,4,1,6,2,3]=>[[[.,[.,[.,.]]],.],[.,.]]
[6,3,2,1,5,4]=>[6,3,5,2,1,4]=>[4,1,2,5,3,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,3,2,4,1,5]=>[3,2,6,4,1,5]=>[5,1,4,6,2,3]=>[[.,[[.,[.,.]],.]],[.,.]]
[6,3,2,4,5,1]=>[3,2,6,4,5,1]=>[1,5,4,6,2,3]=>[.,[[[.,[.,.]],.],[.,.]]]
[6,3,2,5,1,4]=>[3,2,6,1,5,4]=>[4,5,1,6,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,3,2,5,4,1]=>[6,3,5,2,4,1]=>[1,4,2,5,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,3,4,1,2,5]=>[1,3,4,6,2,5]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,3,4,1,5,2]=>[3,4,6,5,1,2]=>[2,1,5,6,4,3]=>[[.,.],[[[.,.],.],[.,.]]]
[6,3,4,2,1,5]=>[3,4,6,2,1,5]=>[5,1,2,6,4,3]=>[[.,[.,[[.,.],.]]],[.,.]]
[6,3,4,2,5,1]=>[3,4,6,2,5,1]=>[1,5,2,6,4,3]=>[.,[[.,[[.,.],.]],[.,.]]]
[6,3,4,5,1,2]=>[1,3,4,6,5,2]=>[2,5,6,4,3,1]=>[[.,.],[[[.,.],.],[.,.]]]
[6,3,4,5,2,1]=>[3,4,6,5,2,1]=>[1,2,5,6,4,3]=>[.,[.,[[[.,.],.],[.,.]]]]
[6,3,5,1,2,4]=>[1,3,2,6,5,4]=>[4,5,6,2,3,1]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,3,5,1,4,2]=>[3,6,1,5,4,2]=>[2,4,5,1,6,3]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,3,5,2,1,4]=>[3,2,6,5,1,4]=>[4,1,5,6,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,3,5,2,4,1]=>[3,2,6,5,4,1]=>[1,4,5,6,2,3]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,3,5,4,1,2]=>[1,6,3,5,4,2]=>[2,4,5,3,6,1]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,3,5,4,2,1]=>[6,3,5,4,2,1]=>[1,2,4,5,3,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,4,1,2,3,5]=>[1,2,4,6,3,5]=>[5,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,4,1,2,5,3]=>[4,1,6,5,2,3]=>[3,2,5,6,1,4]=>[[[.,.],.],[[.,.],[.,.]]]
[6,4,1,3,2,5]=>[1,6,4,3,2,5]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,.]]],[.,.]]
[6,4,1,3,5,2]=>[4,1,6,3,5,2]=>[2,5,3,6,1,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,4,1,5,2,3]=>[1,4,6,5,2,3]=>[3,2,5,6,4,1]=>[[[.,.],.],[[.,.],[.,.]]]
[6,4,1,5,3,2]=>[4,6,5,3,1,2]=>[2,1,3,5,6,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[6,4,2,1,3,5]=>[2,4,6,1,3,5]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[6,4,2,1,5,3]=>[4,6,5,2,1,3]=>[3,1,2,5,6,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,4,2,3,1,5]=>[2,4,6,3,1,5]=>[5,1,3,6,4,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[6,4,2,3,5,1]=>[2,4,6,3,5,1]=>[1,5,3,6,4,2]=>[.,[[[.,.],[.,.]],[.,.]]]
[6,4,2,5,1,3]=>[2,4,6,1,5,3]=>[3,5,1,6,4,2]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,4,2,5,3,1]=>[4,6,5,2,3,1]=>[1,3,2,5,6,4]=>[.,[[.,.],[[.,.],[.,.]]]]
[6,4,3,1,2,5]=>[1,4,6,3,2,5]=>[5,2,3,6,4,1]=>[[[.,.],[.,[.,.]]],[.,.]]
[6,4,3,1,5,2]=>[4,6,3,5,1,2]=>[2,1,5,3,6,4]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,4,3,2,1,5]=>[4,6,3,2,1,5]=>[5,1,2,3,6,4]=>[[.,[.,[.,[.,.]]]],[.,.]]
[6,4,3,2,5,1]=>[4,6,3,2,5,1]=>[1,5,2,3,6,4]=>[.,[[.,[.,[.,.]]],[.,.]]]
[6,4,3,5,1,2]=>[1,4,6,3,5,2]=>[2,5,3,6,4,1]=>[[.,.],[[.,[.,.]],[.,.]]]
[6,4,3,5,2,1]=>[4,6,3,5,2,1]=>[1,2,5,3,6,4]=>[.,[.,[[.,[.,.]],[.,.]]]]
[6,4,5,1,2,3]=>[1,2,4,6,5,3]=>[3,5,6,4,2,1]=>[[[.,.],.],[[.,.],[.,.]]]
[6,4,5,1,3,2]=>[4,1,6,5,3,2]=>[2,3,5,6,1,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[6,4,5,2,1,3]=>[2,4,6,5,1,3]=>[3,1,5,6,4,2]=>[[.,[.,.]],[[.,.],[.,.]]]
[6,4,5,2,3,1]=>[2,4,6,5,3,1]=>[1,3,5,6,4,2]=>[.,[[.,.],[[.,.],[.,.]]]]
[6,4,5,3,1,2]=>[1,4,6,5,3,2]=>[2,3,5,6,4,1]=>[[.,.],[.,[[.,.],[.,.]]]]
[6,4,5,3,2,1]=>[4,6,5,3,2,1]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,.],[.,.]]]]]
[6,5,1,2,3,4]=>[1,2,3,6,5,4]=>[4,5,6,3,2,1]=>[[[[.,.],.],.],[.,[.,.]]]
[6,5,1,2,4,3]=>[6,1,2,5,4,3]=>[3,4,5,2,1,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,5,1,3,2,4]=>[1,6,3,5,2,4]=>[4,2,5,3,6,1]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,5,1,3,4,2]=>[3,1,6,5,4,2]=>[2,4,5,6,1,3]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,5,1,4,2,3]=>[1,6,2,5,4,3]=>[3,4,5,2,6,1]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,5,1,4,3,2]=>[6,5,1,4,3,2]=>[2,3,4,1,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[6,5,2,1,3,4]=>[2,1,6,5,3,4]=>[4,3,5,6,1,2]=>[[[.,[.,.]],.],[.,[.,.]]]
[6,5,2,1,4,3]=>[6,2,5,4,1,3]=>[3,1,4,5,2,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,5,2,3,1,4]=>[2,3,6,5,1,4]=>[4,1,5,6,3,2]=>[[.,[[.,.],.]],[.,[.,.]]]
[6,5,2,3,4,1]=>[2,3,6,5,4,1]=>[1,4,5,6,3,2]=>[.,[[[.,.],.],[.,[.,.]]]]
[6,5,2,4,1,3]=>[2,1,6,5,4,3]=>[3,4,5,6,1,2]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,5,2,4,3,1]=>[6,2,5,4,3,1]=>[1,3,4,5,2,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[6,5,3,1,2,4]=>[1,3,6,5,2,4]=>[4,2,5,6,3,1]=>[[[.,.],[.,.]],[.,[.,.]]]
[6,5,3,1,4,2]=>[3,6,5,4,1,2]=>[2,1,4,5,6,3]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,5,3,2,1,4]=>[3,6,5,2,1,4]=>[4,1,2,5,6,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[6,5,3,2,4,1]=>[3,6,5,2,4,1]=>[1,4,2,5,6,3]=>[.,[[.,[.,.]],[.,[.,.]]]]
[6,5,3,4,1,2]=>[1,3,6,5,4,2]=>[2,4,5,6,3,1]=>[[.,.],[[.,.],[.,[.,.]]]]
[6,5,3,4,2,1]=>[3,6,5,4,2,1]=>[1,2,4,5,6,3]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,5,4,1,2,3]=>[1,2,6,5,4,3]=>[3,4,5,6,2,1]=>[[[.,.],.],[.,[.,[.,.]]]]
[6,5,4,1,3,2]=>[6,1,5,4,3,2]=>[2,3,4,5,1,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[6,5,4,2,1,3]=>[2,6,5,4,1,3]=>[3,1,4,5,6,2]=>[[.,[.,.]],[.,[.,[.,.]]]]
[6,5,4,2,3,1]=>[2,6,5,4,3,1]=>[1,3,4,5,6,2]=>[.,[[.,.],[.,[.,[.,.]]]]]
[6,5,4,3,1,2]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[1,2,3,4,5,7,6]=>[7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7]=>[[[[[[.,.],.],.],.],.],[.,.]]
[1,2,3,4,6,5,7]=>[6,1,2,3,4,5,7]=>[7,5,4,3,2,1,6]=>[[[[[[.,.],.],.],.],[.,.]],.]
[1,2,3,4,6,7,5]=>[6,1,2,3,4,7,5]=>[5,7,4,3,2,1,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,2,3,4,7,5,6]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>[[[[[[.,.],.],.],.],.],[.,.]]
[1,2,3,4,7,6,5]=>[7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,2,3,5,4,6,7]=>[5,1,2,3,4,6,7]=>[7,6,4,3,2,1,5]=>[[[[[[.,.],.],.],[.,.]],.],.]
[1,2,3,5,4,7,6]=>[7,5,1,2,3,4,6]=>[6,4,3,2,1,5,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,2,3,5,6,4,7]=>[5,1,2,3,6,4,7]=>[7,4,6,3,2,1,5]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,2,3,5,6,7,4]=>[5,1,2,3,6,7,4]=>[4,7,6,3,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,2,3,5,7,4,6]=>[5,1,2,3,4,7,6]=>[6,7,4,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,2,3,5,7,6,4]=>[7,5,1,2,3,6,4]=>[4,6,3,2,1,5,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,3,6,4,5,7]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[1,2,3,6,4,7,5]=>[6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,2,3,6,5,4,7]=>[6,5,1,2,3,4,7]=>[7,4,3,2,1,5,6]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,2,3,6,5,7,4]=>[6,5,1,2,3,7,4]=>[4,7,3,2,1,5,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,2,3,6,7,4,5]=>[1,6,2,3,4,7,5]=>[5,7,4,3,2,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,2,3,6,7,5,4]=>[6,7,1,2,3,5,4]=>[4,5,3,2,1,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,2,3,7,4,5,6]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>[[[[[[.,.],.],.],.],.],[.,.]]
[1,2,3,7,4,6,5]=>[7,1,6,2,3,4,5]=>[5,4,3,2,6,1,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,2,3,7,5,4,6]=>[5,7,1,2,3,4,6]=>[6,4,3,2,1,7,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,2,3,7,5,6,4]=>[7,1,5,2,3,6,4]=>[4,6,3,2,5,1,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,3,7,6,4,5]=>[1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,2,4,3,5,6,7]=>[4,1,2,3,5,6,7]=>[7,6,5,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],.],.]
[1,2,4,3,5,7,6]=>[7,4,1,2,3,5,6]=>[6,5,3,2,1,4,7]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,2,4,3,6,5,7]=>[6,4,1,2,3,5,7]=>[7,5,3,2,1,4,6]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,2,4,3,6,7,5]=>[6,4,1,2,3,7,5]=>[5,7,3,2,1,4,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,2,4,3,7,5,6]=>[4,7,1,2,3,5,6]=>[6,5,3,2,1,7,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,2,4,3,7,6,5]=>[7,6,4,1,2,3,5]=>[5,3,2,1,4,6,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,2,4,5,3,6,7]=>[4,1,2,5,3,6,7]=>[7,6,3,5,2,1,4]=>[[[[[.,.],.],[[.,.],.]],.],.]
[1,2,4,5,3,7,6]=>[7,4,1,2,5,3,6]=>[6,3,5,2,1,4,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,2,4,5,6,3,7]=>[4,1,2,5,6,3,7]=>[7,3,6,5,2,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[1,2,4,5,6,7,3]=>[4,1,2,5,6,7,3]=>[3,7,6,5,2,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,2,4,5,7,3,6]=>[4,1,2,5,3,7,6]=>[6,7,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,2,4,5,7,6,3]=>[7,4,1,2,5,6,3]=>[3,6,5,2,1,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,2,4,6,3,5,7]=>[4,1,2,3,6,5,7]=>[7,5,6,3,2,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,2,4,6,3,7,5]=>[6,4,1,2,7,3,5]=>[5,3,7,2,1,4,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,2,4,6,5,3,7]=>[6,4,1,2,5,3,7]=>[7,3,5,2,1,4,6]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,2,4,6,5,7,3]=>[6,4,1,2,5,7,3]=>[3,7,5,2,1,4,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,2,4,6,7,3,5]=>[4,1,2,3,6,7,5]=>[5,7,6,3,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,2,4,6,7,5,3]=>[6,4,1,2,7,5,3]=>[3,5,7,2,1,4,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,2,4,7,3,5,6]=>[4,1,2,3,5,7,6]=>[6,7,5,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,2,4,7,3,6,5]=>[7,4,1,2,3,6,5]=>[5,6,3,2,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,2,4,7,5,3,6]=>[4,7,1,2,5,3,6]=>[6,3,5,2,1,7,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,2,4,7,5,6,3]=>[7,1,4,2,5,6,3]=>[3,6,5,2,4,1,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,2,4,7,6,3,5]=>[4,7,1,2,3,6,5]=>[5,6,3,2,1,7,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,2,4,7,6,5,3]=>[7,6,4,1,2,5,3]=>[3,5,2,1,4,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,5,3,4,6,7]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[1,2,5,3,4,7,6]=>[7,1,5,2,3,4,6]=>[6,4,3,2,5,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,2,5,3,6,4,7]=>[5,6,1,2,3,4,7]=>[7,4,3,2,1,6,5]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,2,5,3,6,7,4]=>[5,6,1,2,3,7,4]=>[4,7,3,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,2,5,3,7,4,6]=>[5,1,7,2,3,4,6]=>[6,4,3,2,7,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,2,5,3,7,6,4]=>[7,5,6,1,2,3,4]=>[4,3,2,1,6,5,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,5,4,3,6,7]=>[5,4,1,2,3,6,7]=>[7,6,3,2,1,4,5]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[1,2,5,4,3,7,6]=>[7,5,4,1,2,3,6]=>[6,3,2,1,4,5,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,2,5,4,6,3,7]=>[5,4,1,2,6,3,7]=>[7,3,6,2,1,4,5]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[1,2,5,4,6,7,3]=>[5,4,1,2,6,7,3]=>[3,7,6,2,1,4,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[1,2,5,4,7,3,6]=>[5,4,1,2,3,7,6]=>[6,7,3,2,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,2,5,4,7,6,3]=>[7,5,4,1,2,6,3]=>[3,6,2,1,4,5,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,2,5,6,3,4,7]=>[1,5,2,3,6,4,7]=>[7,4,6,3,2,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,2,5,6,3,7,4]=>[5,6,1,2,7,3,4]=>[4,3,7,2,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,2,5,6,4,3,7]=>[5,6,1,2,4,3,7]=>[7,3,4,2,1,6,5]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[1,2,5,6,4,7,3]=>[5,6,1,2,4,7,3]=>[3,7,4,2,1,6,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[1,2,5,6,7,3,4]=>[1,5,2,3,6,7,4]=>[4,7,6,3,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,2,5,6,7,4,3]=>[5,6,1,2,7,4,3]=>[3,4,7,2,1,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[1,2,5,7,3,4,6]=>[1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,2,5,7,3,6,4]=>[5,7,1,2,3,6,4]=>[4,6,3,2,1,7,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,5,7,4,3,6]=>[5,1,7,2,4,3,6]=>[6,3,4,2,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,2,5,7,4,6,3]=>[5,4,1,2,7,6,3]=>[3,6,7,2,1,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,2,5,7,6,3,4]=>[1,7,5,2,3,6,4]=>[4,6,3,2,5,7,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,5,7,6,4,3]=>[7,5,6,1,2,4,3]=>[3,4,2,1,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[1,2,6,3,4,7,5]=>[6,1,7,2,3,4,5]=>[5,4,3,2,7,1,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,2,6,3,5,4,7]=>[6,1,5,2,3,4,7]=>[7,4,3,2,5,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,2,6,3,5,7,4]=>[6,1,5,2,3,7,4]=>[4,7,3,2,5,1,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,2,6,3,7,4,5]=>[1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,2,6,3,7,5,4]=>[6,7,5,1,2,3,4]=>[4,3,2,1,5,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,2,6,4,3,5,7]=>[4,6,1,2,3,5,7]=>[7,5,3,2,1,6,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,2,6,4,3,7,5]=>[6,7,4,1,2,3,5]=>[5,3,2,1,4,7,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,2,6,4,5,3,7]=>[6,1,4,2,5,3,7]=>[7,3,5,2,4,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,2,6,4,5,7,3]=>[6,1,4,2,5,7,3]=>[3,7,5,2,4,1,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,2,6,4,7,3,5]=>[4,6,1,2,3,7,5]=>[5,7,3,2,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,2,6,4,7,5,3]=>[6,7,4,1,2,5,3]=>[3,5,2,1,4,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,2,6,5,3,4,7]=>[1,6,5,2,3,4,7]=>[7,4,3,2,5,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,2,6,5,3,7,4]=>[6,5,7,1,2,3,4]=>[4,3,2,1,7,5,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,2,6,5,4,3,7]=>[6,5,4,1,2,3,7]=>[7,3,2,1,4,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,2,6,5,4,7,3]=>[6,5,4,1,2,7,3]=>[3,7,2,1,4,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[1,2,6,5,7,3,4]=>[1,6,5,2,3,7,4]=>[4,7,3,2,5,6,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,2,6,5,7,4,3]=>[6,5,7,1,2,4,3]=>[3,4,2,1,7,5,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[1,2,6,7,3,4,5]=>[1,2,6,3,4,7,5]=>[5,7,4,3,6,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,2,6,7,3,5,4]=>[6,1,7,2,3,5,4]=>[4,5,3,2,7,1,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,2,6,7,4,3,5]=>[1,6,7,2,4,3,5]=>[5,3,4,2,7,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,2,6,7,4,5,3]=>[6,1,4,2,7,5,3]=>[3,5,7,2,4,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,2,6,7,5,3,4]=>[1,6,7,2,3,5,4]=>[4,5,3,2,7,6,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,2,6,7,5,4,3]=>[6,7,5,1,2,4,3]=>[3,4,2,1,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,2,7,3,4,5,6]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,.]]
[1,2,7,3,4,6,5]=>[7,1,2,6,3,4,5]=>[5,4,3,6,2,1,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,2,7,3,5,4,6]=>[1,7,5,2,3,4,6]=>[6,4,3,2,5,7,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,2,7,3,5,6,4]=>[7,1,2,5,3,6,4]=>[4,6,3,5,2,1,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,7,3,6,4,5]=>[1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,2,7,3,6,5,4]=>[7,6,1,5,2,3,4]=>[4,3,2,5,1,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,2,7,4,3,5,6]=>[4,1,7,2,3,5,6]=>[6,5,3,2,7,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,2,7,4,3,6,5]=>[7,4,6,1,2,3,5]=>[5,3,2,1,6,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,2,7,4,5,3,6]=>[1,7,4,2,5,3,6]=>[6,3,5,2,4,7,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,2,7,4,5,6,3]=>[7,1,2,4,5,6,3]=>[3,6,5,4,2,1,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,2,7,4,6,3,5]=>[1,7,4,2,3,6,5]=>[5,6,3,2,4,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,2,7,4,6,5,3]=>[7,6,1,4,2,5,3]=>[3,5,2,4,1,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,7,5,3,4,6]=>[1,5,7,2,3,4,6]=>[6,4,3,2,7,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,2,7,5,3,6,4]=>[5,7,6,1,2,3,4]=>[4,3,2,1,6,7,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,7,5,4,3,6]=>[5,7,4,1,2,3,6]=>[6,3,2,1,4,7,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,2,7,5,4,6,3]=>[5,7,4,1,2,6,3]=>[3,6,2,1,4,7,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,2,7,5,6,3,4]=>[1,7,2,5,3,6,4]=>[4,6,3,5,2,7,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,7,5,6,4,3]=>[7,5,1,6,2,4,3]=>[3,4,2,6,1,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,2,7,6,3,4,5]=>[1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,2,7,6,3,5,4]=>[7,1,6,5,2,3,4]=>[4,3,2,5,6,1,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,2,7,6,4,3,5]=>[4,7,6,1,2,3,5]=>[5,3,2,1,6,7,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,2,7,6,4,5,3]=>[7,1,6,4,2,5,3]=>[3,5,2,4,6,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,7,6,5,3,4]=>[1,7,6,5,2,3,4]=>[4,3,2,5,6,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,2,7,6,5,4,3]=>[7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,3,2,4,5,6,7]=>[3,1,2,4,5,6,7]=>[7,6,5,4,2,1,3]=>[[[[[[.,.],[.,.]],.],.],.],.]
[1,3,2,4,5,7,6]=>[7,3,1,2,4,5,6]=>[6,5,4,2,1,3,7]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[1,3,2,4,6,5,7]=>[6,3,1,2,4,5,7]=>[7,5,4,2,1,3,6]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[1,3,2,4,6,7,5]=>[6,3,1,2,4,7,5]=>[5,7,4,2,1,3,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,3,2,4,7,5,6]=>[3,7,1,2,4,5,6]=>[6,5,4,2,1,7,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[1,3,2,4,7,6,5]=>[7,6,3,1,2,4,5]=>[5,4,2,1,3,6,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,3,2,5,4,6,7]=>[5,3,1,2,4,6,7]=>[7,6,4,2,1,3,5]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[1,3,2,5,4,7,6]=>[7,5,3,1,2,4,6]=>[6,4,2,1,3,5,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,3,2,5,6,4,7]=>[5,3,1,2,6,4,7]=>[7,4,6,2,1,3,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,3,2,5,6,7,4]=>[5,3,1,2,6,7,4]=>[4,7,6,2,1,3,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,3,2,5,7,4,6]=>[5,3,1,2,4,7,6]=>[6,7,4,2,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,3,2,5,7,6,4]=>[7,5,3,1,2,6,4]=>[4,6,2,1,3,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,3,2,6,4,5,7]=>[3,6,1,2,4,5,7]=>[7,5,4,2,1,6,3]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[1,3,2,6,4,7,5]=>[6,7,3,1,2,4,5]=>[5,4,2,1,3,7,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,3,2,6,5,4,7]=>[6,5,3,1,2,4,7]=>[7,4,2,1,3,5,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,3,2,6,5,7,4]=>[6,5,3,1,2,7,4]=>[4,7,2,1,3,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,3,2,6,7,4,5]=>[3,6,1,2,4,7,5]=>[5,7,4,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,3,2,6,7,5,4]=>[6,7,3,1,2,5,4]=>[4,5,2,1,3,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,3,2,7,4,5,6]=>[3,1,7,2,4,5,6]=>[6,5,4,2,7,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[1,3,2,7,4,6,5]=>[7,3,6,1,2,4,5]=>[5,4,2,1,6,3,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,3,2,7,5,4,6]=>[5,7,3,1,2,4,6]=>[6,4,2,1,3,7,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,3,2,7,5,6,4]=>[7,3,5,1,2,6,4]=>[4,6,2,1,5,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,3,2,7,6,4,5]=>[3,7,6,1,2,4,5]=>[5,4,2,1,6,7,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,3,2,7,6,5,4]=>[7,6,5,3,1,2,4]=>[4,2,1,3,5,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,3,4,2,5,6,7]=>[3,1,4,2,5,6,7]=>[7,6,5,2,4,1,3]=>[[[[[.,.],[[.,.],.]],.],.],.]
[1,3,4,2,5,7,6]=>[7,3,1,4,2,5,6]=>[6,5,2,4,1,3,7]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[1,3,4,2,6,5,7]=>[6,3,1,4,2,5,7]=>[7,5,2,4,1,3,6]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[1,3,4,2,6,7,5]=>[6,3,1,4,2,7,5]=>[5,7,2,4,1,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,3,4,2,7,5,6]=>[3,7,1,4,2,5,6]=>[6,5,2,4,1,7,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[1,3,4,2,7,6,5]=>[7,6,3,1,4,2,5]=>[5,2,4,1,3,6,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,3,4,5,2,6,7]=>[3,1,4,5,2,6,7]=>[7,6,2,5,4,1,3]=>[[[[.,.],[[[.,.],.],.]],.],.]
[1,3,4,5,2,7,6]=>[7,3,1,4,5,2,6]=>[6,2,5,4,1,3,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[1,3,4,5,6,2,7]=>[3,1,4,5,6,2,7]=>[7,2,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[1,3,4,5,6,7,2]=>[3,1,4,5,6,7,2]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,4,5,7,2,6]=>[3,1,4,5,2,7,6]=>[6,7,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[1,3,4,5,7,6,2]=>[7,3,1,4,5,6,2]=>[2,6,5,4,1,3,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,3,4,6,2,5,7]=>[3,1,4,2,6,5,7]=>[7,5,6,2,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[1,3,4,6,2,7,5]=>[6,3,1,4,7,2,5]=>[5,2,7,4,1,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,3,4,6,5,2,7]=>[6,3,1,4,5,2,7]=>[7,2,5,4,1,3,6]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[1,3,4,6,5,7,2]=>[6,3,1,4,5,7,2]=>[2,7,5,4,1,3,6]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[1,3,4,6,7,2,5]=>[3,1,4,2,6,7,5]=>[5,7,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,3,4,6,7,5,2]=>[6,3,1,4,7,5,2]=>[2,5,7,4,1,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[1,3,4,7,2,5,6]=>[3,1,4,2,5,7,6]=>[6,7,5,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[1,3,4,7,2,6,5]=>[7,3,1,4,2,6,5]=>[5,6,2,4,1,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,3,4,7,5,2,6]=>[3,7,1,4,5,2,6]=>[6,2,5,4,1,7,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[1,3,4,7,5,6,2]=>[7,1,3,4,5,6,2]=>[2,6,5,4,3,1,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,3,4,7,6,2,5]=>[3,7,1,4,2,6,5]=>[5,6,2,4,1,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,3,4,7,6,5,2]=>[7,6,3,1,4,5,2]=>[2,5,4,1,3,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,3,5,2,4,6,7]=>[3,1,2,5,4,6,7]=>[7,6,4,5,2,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[1,3,5,2,4,7,6]=>[7,3,1,2,5,4,6]=>[6,4,5,2,1,3,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,3,5,2,6,4,7]=>[5,3,1,6,2,4,7]=>[7,4,2,6,1,3,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,3,5,2,6,7,4]=>[5,3,1,6,2,7,4]=>[4,7,2,6,1,3,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,3,5,2,7,4,6]=>[5,3,1,2,7,4,6]=>[6,4,7,2,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,3,5,2,7,6,4]=>[7,5,3,1,6,2,4]=>[4,2,6,1,3,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,3,5,4,2,6,7]=>[5,3,1,4,2,6,7]=>[7,6,2,4,1,3,5]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[1,3,5,4,2,7,6]=>[7,5,3,1,4,2,6]=>[6,2,4,1,3,5,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,3,5,4,6,2,7]=>[5,3,1,4,6,2,7]=>[7,2,6,4,1,3,5]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[1,3,5,4,6,7,2]=>[5,3,1,4,6,7,2]=>[2,7,6,4,1,3,5]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[1,3,5,4,7,2,6]=>[5,3,1,4,2,7,6]=>[6,7,2,4,1,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,3,5,4,7,6,2]=>[7,5,3,1,4,6,2]=>[2,6,4,1,3,5,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,3,5,6,2,4,7]=>[3,1,2,5,6,4,7]=>[7,4,6,5,2,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,3,5,6,2,7,4]=>[5,3,1,6,7,2,4]=>[4,2,7,6,1,3,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,3,5,6,4,2,7]=>[5,3,1,6,4,2,7]=>[7,2,4,6,1,3,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[1,3,5,6,4,7,2]=>[5,3,1,6,4,7,2]=>[2,7,4,6,1,3,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[1,3,5,6,7,2,4]=>[3,1,2,5,6,7,4]=>[4,7,6,5,2,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,3,5,6,7,4,2]=>[5,3,1,6,7,4,2]=>[2,4,7,6,1,3,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[1,3,5,7,2,4,6]=>[3,1,2,5,4,7,6]=>[6,7,4,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,3,5,7,2,6,4]=>[5,3,1,7,2,6,4]=>[4,6,2,7,1,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,3,5,7,4,2,6]=>[5,3,1,4,7,2,6]=>[6,2,7,4,1,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,3,5,7,4,6,2]=>[5,3,1,4,7,6,2]=>[2,6,7,4,1,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,3,5,7,6,2,4]=>[3,7,1,2,5,6,4]=>[4,6,5,2,1,7,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,3,5,7,6,4,2]=>[7,5,3,1,6,4,2]=>[2,4,6,1,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,3,6,2,4,5,7]=>[3,1,2,4,6,5,7]=>[7,5,6,4,2,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[1,3,6,2,4,7,5]=>[6,3,1,2,7,4,5]=>[5,4,7,2,1,3,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,3,6,2,5,4,7]=>[6,3,1,2,5,4,7]=>[7,4,5,2,1,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,3,6,2,5,7,4]=>[6,3,1,2,5,7,4]=>[4,7,5,2,1,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,3,6,2,7,4,5]=>[3,6,1,2,7,4,5]=>[5,4,7,2,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,3,6,2,7,5,4]=>[6,7,3,1,5,2,4]=>[4,2,5,1,3,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,3,6,4,2,5,7]=>[3,6,1,4,2,5,7]=>[7,5,2,4,1,6,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[1,3,6,4,2,7,5]=>[6,7,3,1,4,2,5]=>[5,2,4,1,3,7,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,3,6,4,5,2,7]=>[6,1,3,4,5,2,7]=>[7,2,5,4,3,1,6]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[1,3,6,4,5,7,2]=>[6,1,3,4,5,7,2]=>[2,7,5,4,3,1,6]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[1,3,6,4,7,2,5]=>[3,6,1,4,2,7,5]=>[5,7,2,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,3,6,4,7,5,2]=>[6,7,3,1,4,5,2]=>[2,5,4,1,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[1,3,6,5,2,4,7]=>[3,6,1,2,5,4,7]=>[7,4,5,2,1,6,3]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,3,6,5,2,7,4]=>[6,5,3,1,7,2,4]=>[4,2,7,1,3,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,3,6,5,4,2,7]=>[6,5,3,1,4,2,7]=>[7,2,4,1,3,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,3,6,5,4,7,2]=>[6,5,3,1,4,7,2]=>[2,7,4,1,3,5,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[1,3,6,5,7,2,4]=>[3,6,1,2,5,7,4]=>[4,7,5,2,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,3,6,5,7,4,2]=>[6,5,3,1,7,4,2]=>[2,4,7,1,3,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[1,3,6,7,2,4,5]=>[3,1,2,4,6,7,5]=>[5,7,6,4,2,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,3,6,7,2,5,4]=>[6,3,1,2,7,5,4]=>[4,5,7,2,1,3,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,3,6,7,4,2,5]=>[3,6,1,4,7,2,5]=>[5,2,7,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,3,6,7,4,5,2]=>[6,1,3,4,7,5,2]=>[2,5,7,4,3,1,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[1,3,6,7,5,2,4]=>[3,6,1,2,7,5,4]=>[4,5,7,2,1,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,3,6,7,5,4,2]=>[6,7,3,1,5,4,2]=>[2,4,5,1,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[1,3,7,2,4,5,6]=>[3,1,2,4,5,7,6]=>[6,7,5,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[1,3,7,2,4,6,5]=>[7,3,1,2,4,6,5]=>[5,6,4,2,1,3,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,3,7,2,5,4,6]=>[3,7,1,2,5,4,6]=>[6,4,5,2,1,7,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,3,7,2,5,6,4]=>[5,3,1,2,7,6,4]=>[4,6,7,2,1,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,3,7,2,6,4,5]=>[3,7,1,2,4,6,5]=>[5,6,4,2,1,7,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,3,7,2,6,5,4]=>[7,6,3,1,2,5,4]=>[4,5,2,1,3,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,3,7,4,2,5,6]=>[3,1,7,4,2,5,6]=>[6,5,2,4,7,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[1,3,7,4,2,6,5]=>[7,3,6,1,4,2,5]=>[5,2,4,1,6,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,3,7,4,5,2,6]=>[1,7,3,4,5,2,6]=>[6,2,5,4,3,7,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[1,3,7,4,5,6,2]=>[3,1,7,4,5,6,2]=>[2,6,5,4,7,1,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,3,7,4,6,2,5]=>[1,7,3,4,2,6,5]=>[5,6,2,4,3,7,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,3,7,4,6,5,2]=>[7,6,1,3,4,5,2]=>[2,5,4,3,1,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,3,7,5,2,4,6]=>[3,1,7,2,5,4,6]=>[6,4,5,2,7,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,3,7,5,2,6,4]=>[7,3,5,1,6,2,4]=>[4,2,6,1,5,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,3,7,5,4,2,6]=>[5,7,3,1,4,2,6]=>[6,2,4,1,3,7,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,3,7,5,4,6,2]=>[5,7,3,1,4,6,2]=>[2,6,4,1,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,3,7,5,6,2,4]=>[1,7,3,2,5,6,4]=>[4,6,5,2,3,7,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,3,7,5,6,4,2]=>[7,5,1,3,6,4,2]=>[2,4,6,3,1,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,3,7,6,2,4,5]=>[3,1,7,2,4,6,5]=>[5,6,4,2,7,1,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,3,7,6,2,5,4]=>[7,3,6,1,2,5,4]=>[4,5,2,1,6,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,3,7,6,4,2,5]=>[3,7,6,1,4,2,5]=>[5,2,4,1,6,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,3,7,6,4,5,2]=>[7,1,6,3,4,5,2]=>[2,5,4,3,6,1,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,3,7,6,5,2,4]=>[3,7,6,1,2,5,4]=>[4,5,2,1,6,7,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,3,7,6,5,4,2]=>[7,6,5,3,1,4,2]=>[2,4,1,3,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[1,4,2,3,5,7,6]=>[7,1,4,2,3,5,6]=>[6,5,3,2,4,1,7]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,4,2,3,6,5,7]=>[6,1,4,2,3,5,7]=>[7,5,3,2,4,1,6]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,4,2,3,6,7,5]=>[6,1,4,2,3,7,5]=>[5,7,3,2,4,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,4,2,3,7,5,6]=>[1,7,4,2,3,5,6]=>[6,5,3,2,4,7,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,4,2,3,7,6,5]=>[7,6,1,4,2,3,5]=>[5,3,2,4,1,6,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,4,2,5,3,6,7]=>[4,5,1,2,3,6,7]=>[7,6,3,2,1,5,4]=>[[[[[.,.],.],[[.,.],.]],.],.]
[1,4,2,5,3,7,6]=>[7,4,5,1,2,3,6]=>[6,3,2,1,5,4,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,4,2,5,6,3,7]=>[4,5,1,2,6,3,7]=>[7,3,6,2,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[1,4,2,5,6,7,3]=>[4,5,1,2,6,7,3]=>[3,7,6,2,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,4,2,5,7,3,6]=>[4,5,1,2,3,7,6]=>[6,7,3,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,4,2,5,7,6,3]=>[7,4,5,1,2,6,3]=>[3,6,2,1,5,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,4,2,6,3,5,7]=>[4,1,6,2,3,5,7]=>[7,5,3,2,6,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,4,2,6,3,7,5]=>[6,4,7,1,2,3,5]=>[5,3,2,1,7,4,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,4,2,6,5,3,7]=>[6,4,5,1,2,3,7]=>[7,3,2,1,5,4,6]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,4,2,6,5,7,3]=>[6,4,5,1,2,7,3]=>[3,7,2,1,5,4,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,4,2,6,7,3,5]=>[4,1,6,2,3,7,5]=>[5,7,3,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,4,2,6,7,5,3]=>[6,4,7,1,2,5,3]=>[3,5,2,1,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,4,2,7,3,5,6]=>[4,1,2,7,3,5,6]=>[6,5,3,7,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,4,2,7,3,6,5]=>[7,4,1,6,2,3,5]=>[5,3,2,6,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,4,2,7,5,3,6]=>[4,7,5,1,2,3,6]=>[6,3,2,1,5,7,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,4,2,7,5,6,3]=>[4,7,5,1,2,6,3]=>[3,6,2,1,5,7,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,4,2,7,6,3,5]=>[4,7,1,6,2,3,5]=>[5,3,2,6,1,7,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,4,2,7,6,5,3]=>[7,6,4,5,1,2,3]=>[3,2,1,5,4,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,4,3,2,5,6,7]=>[4,3,1,2,5,6,7]=>[7,6,5,2,1,3,4]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[1,4,3,2,5,7,6]=>[7,4,3,1,2,5,6]=>[6,5,2,1,3,4,7]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,4,3,2,6,5,7]=>[6,4,3,1,2,5,7]=>[7,5,2,1,3,4,6]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[1,4,3,2,6,7,5]=>[6,4,3,1,2,7,5]=>[5,7,2,1,3,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,4,3,2,7,5,6]=>[4,7,3,1,2,5,6]=>[6,5,2,1,3,7,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,4,3,2,7,6,5]=>[7,6,4,3,1,2,5]=>[5,2,1,3,4,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,4,3,5,2,6,7]=>[4,3,1,5,2,6,7]=>[7,6,2,5,1,3,4]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[1,4,3,5,2,7,6]=>[7,4,3,1,5,2,6]=>[6,2,5,1,3,4,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[1,4,3,5,6,2,7]=>[4,3,1,5,6,2,7]=>[7,2,6,5,1,3,4]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[1,4,3,5,6,7,2]=>[4,3,1,5,6,7,2]=>[2,7,6,5,1,3,4]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[1,4,3,5,7,2,6]=>[4,3,1,5,2,7,6]=>[6,7,2,5,1,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[1,4,3,5,7,6,2]=>[7,4,3,1,5,6,2]=>[2,6,5,1,3,4,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,4,3,6,2,5,7]=>[4,3,1,2,6,5,7]=>[7,5,6,2,1,3,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[1,4,3,6,2,7,5]=>[6,4,3,1,7,2,5]=>[5,2,7,1,3,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,4,3,6,5,2,7]=>[6,4,3,1,5,2,7]=>[7,2,5,1,3,4,6]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,4,3,6,5,7,2]=>[6,4,3,1,5,7,2]=>[2,7,5,1,3,4,6]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[1,4,3,6,7,2,5]=>[4,3,1,2,6,7,5]=>[5,7,6,2,1,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,4,3,6,7,5,2]=>[6,4,3,1,7,5,2]=>[2,5,7,1,3,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[1,4,3,7,2,5,6]=>[4,3,1,2,5,7,6]=>[6,7,5,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,4,3,7,2,6,5]=>[7,4,3,1,2,6,5]=>[5,6,2,1,3,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,4,3,7,5,2,6]=>[4,7,3,1,5,2,6]=>[6,2,5,1,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[1,4,3,7,5,6,2]=>[4,7,3,1,5,6,2]=>[2,6,5,1,3,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,4,3,7,6,2,5]=>[4,7,3,1,2,6,5]=>[5,6,2,1,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,4,3,7,6,5,2]=>[7,6,4,3,1,5,2]=>[2,5,1,3,4,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,4,5,2,3,6,7]=>[1,4,2,5,3,6,7]=>[7,6,3,5,2,4,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[1,4,5,2,3,7,6]=>[7,1,4,2,5,3,6]=>[6,3,5,2,4,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,4,5,2,6,3,7]=>[4,5,1,6,2,3,7]=>[7,3,2,6,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[1,4,5,2,6,7,3]=>[4,5,1,6,2,7,3]=>[3,7,2,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,4,5,2,7,3,6]=>[4,5,1,2,7,3,6]=>[6,3,7,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,4,5,2,7,6,3]=>[7,4,5,1,6,2,3]=>[3,2,6,1,5,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,4,5,3,2,6,7]=>[4,5,1,3,2,6,7]=>[7,6,2,3,1,5,4]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[1,4,5,3,2,7,6]=>[7,4,5,1,3,2,6]=>[6,2,3,1,5,4,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[1,4,5,3,6,2,7]=>[4,5,1,3,6,2,7]=>[7,2,6,3,1,5,4]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[1,4,5,3,6,7,2]=>[4,5,1,3,6,7,2]=>[2,7,6,3,1,5,4]=>[[.,.],[[[.,[[.,.],.]],.],.]]
[1,4,5,3,7,2,6]=>[4,5,1,3,2,7,6]=>[6,7,2,3,1,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[1,4,5,3,7,6,2]=>[7,4,5,1,3,6,2]=>[2,6,3,1,5,4,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[1,4,5,6,2,3,7]=>[1,4,2,5,6,3,7]=>[7,3,6,5,2,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[1,4,5,6,2,7,3]=>[4,5,1,6,7,2,3]=>[3,2,7,6,1,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,4,5,6,3,2,7]=>[4,5,1,6,3,2,7]=>[7,2,3,6,1,5,4]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[1,4,5,6,3,7,2]=>[4,5,1,6,3,7,2]=>[2,7,3,6,1,5,4]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[1,4,5,6,7,2,3]=>[1,4,2,5,6,7,3]=>[3,7,6,5,2,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[1,4,5,6,7,3,2]=>[4,5,1,6,7,3,2]=>[2,3,7,6,1,5,4]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[1,4,5,7,2,3,6]=>[1,4,2,5,3,7,6]=>[6,7,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,4,5,7,2,6,3]=>[4,5,1,7,2,6,3]=>[3,6,2,7,1,5,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,4,5,7,3,2,6]=>[4,5,1,3,7,2,6]=>[6,2,7,3,1,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[1,4,5,7,3,6,2]=>[4,5,1,3,7,6,2]=>[2,6,7,3,1,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[1,4,5,7,6,2,3]=>[1,7,4,2,5,6,3]=>[3,6,5,2,4,7,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,4,5,7,6,3,2]=>[7,4,5,1,6,3,2]=>[2,3,6,1,5,4,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[1,4,6,2,3,5,7]=>[1,4,2,3,6,5,7]=>[7,5,6,3,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,4,6,2,3,7,5]=>[6,1,4,2,7,3,5]=>[5,3,7,2,4,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,4,6,2,5,3,7]=>[4,6,1,2,5,3,7]=>[7,3,5,2,1,6,4]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,4,6,2,5,7,3]=>[4,6,1,2,5,7,3]=>[3,7,5,2,1,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,4,6,2,7,3,5]=>[4,1,6,2,7,3,5]=>[5,3,7,2,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,4,6,2,7,5,3]=>[6,4,7,1,5,2,3]=>[3,2,5,1,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,4,6,3,2,5,7]=>[4,1,6,3,2,5,7]=>[7,5,2,3,6,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[1,4,6,3,2,7,5]=>[6,4,7,1,3,2,5]=>[5,2,3,1,7,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,4,6,3,5,2,7]=>[4,3,1,6,5,2,7]=>[7,2,5,6,1,3,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,4,6,3,5,7,2]=>[4,3,1,6,5,7,2]=>[2,7,5,6,1,3,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[1,4,6,3,7,2,5]=>[4,1,6,3,2,7,5]=>[5,7,2,3,6,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,4,6,3,7,5,2]=>[6,4,7,1,3,5,2]=>[2,5,3,1,7,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[1,4,6,5,2,3,7]=>[1,6,4,2,5,3,7]=>[7,3,5,2,4,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,4,6,5,2,7,3]=>[6,4,5,1,7,2,3]=>[3,2,7,1,5,4,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,4,6,5,3,2,7]=>[6,4,5,1,3,2,7]=>[7,2,3,1,5,4,6]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[1,4,6,5,3,7,2]=>[6,4,5,1,3,7,2]=>[2,7,3,1,5,4,6]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[1,4,6,5,7,2,3]=>[1,6,4,2,5,7,3]=>[3,7,5,2,4,6,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,4,6,5,7,3,2]=>[6,4,5,1,7,3,2]=>[2,3,7,1,5,4,6]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[1,4,6,7,2,3,5]=>[1,4,2,3,6,7,5]=>[5,7,6,3,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,4,6,7,2,5,3]=>[4,6,1,2,7,5,3]=>[3,5,7,2,1,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,4,6,7,3,2,5]=>[4,1,6,3,7,2,5]=>[5,2,7,3,6,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,4,6,7,3,5,2]=>[4,3,1,6,7,5,2]=>[2,5,7,6,1,3,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[1,4,6,7,5,2,3]=>[1,6,4,2,7,5,3]=>[3,5,7,2,4,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,4,6,7,5,3,2]=>[6,4,7,1,5,3,2]=>[2,3,5,1,7,4,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[1,4,7,2,3,5,6]=>[1,4,2,3,5,7,6]=>[6,7,5,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,4,7,2,3,6,5]=>[7,1,4,2,3,6,5]=>[5,6,3,2,4,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,4,7,2,5,3,6]=>[4,1,7,2,5,3,6]=>[6,3,5,2,7,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,4,7,2,5,6,3]=>[4,5,1,2,7,6,3]=>[3,6,7,2,1,5,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,4,7,2,6,3,5]=>[4,1,7,2,3,6,5]=>[5,6,3,2,7,1,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,4,7,2,6,5,3]=>[7,4,6,1,2,5,3]=>[3,5,2,1,6,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,4,7,3,2,5,6]=>[4,1,3,7,2,5,6]=>[6,5,2,7,3,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,4,7,3,2,6,5]=>[7,4,1,6,3,2,5]=>[5,2,3,6,1,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,4,7,3,5,2,6]=>[4,3,1,5,7,2,6]=>[6,2,7,5,1,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[1,4,7,3,5,6,2]=>[4,3,1,5,7,6,2]=>[2,6,7,5,1,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,4,7,3,6,2,5]=>[4,3,1,2,7,6,5]=>[5,6,7,2,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,4,7,3,6,5,2]=>[7,4,3,1,6,5,2]=>[2,5,6,1,3,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,4,7,5,2,3,6]=>[1,4,7,2,5,3,6]=>[6,3,5,2,7,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,4,7,5,2,6,3]=>[4,7,5,1,6,2,3]=>[3,2,6,1,5,7,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,4,7,5,3,2,6]=>[4,7,5,1,3,2,6]=>[6,2,3,1,5,7,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[1,4,7,5,3,6,2]=>[4,7,5,1,3,6,2]=>[2,6,3,1,5,7,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[1,4,7,5,6,2,3]=>[1,7,2,4,5,6,3]=>[3,6,5,4,2,7,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,4,7,5,6,3,2]=>[7,4,1,5,6,3,2]=>[2,3,6,5,1,4,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[1,4,7,6,2,3,5]=>[1,4,7,2,3,6,5]=>[5,6,3,2,7,4,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,4,7,6,2,5,3]=>[4,7,6,1,2,5,3]=>[3,5,2,1,6,7,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,4,7,6,3,2,5]=>[4,7,1,6,3,2,5]=>[5,2,3,6,1,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,4,7,6,3,5,2]=>[4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,4,7,6,5,2,3]=>[1,7,6,4,2,5,3]=>[3,5,2,4,6,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,4,7,6,5,3,2]=>[7,6,4,5,1,3,2]=>[2,3,1,5,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,2,3,4,6,7]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[1,5,2,3,4,7,6]=>[7,1,2,5,3,4,6]=>[6,4,3,5,2,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,5,2,3,6,4,7]=>[5,1,6,2,3,4,7]=>[7,4,3,2,6,1,5]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,5,2,3,6,7,4]=>[5,1,6,2,3,7,4]=>[4,7,3,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,5,2,3,7,4,6]=>[5,1,2,7,3,4,6]=>[6,4,3,7,2,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,5,2,3,7,6,4]=>[7,5,1,6,2,3,4]=>[4,3,2,6,1,5,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,5,2,4,3,6,7]=>[5,1,4,2,3,6,7]=>[7,6,3,2,4,1,5]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[1,5,2,4,3,7,6]=>[7,5,1,4,2,3,6]=>[6,3,2,4,1,5,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,5,2,4,6,3,7]=>[5,1,4,2,6,3,7]=>[7,3,6,2,4,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[1,5,2,4,6,7,3]=>[5,1,4,2,6,7,3]=>[3,7,6,2,4,1,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[1,5,2,4,7,3,6]=>[5,1,4,2,3,7,6]=>[6,7,3,2,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,5,2,4,7,6,3]=>[7,5,1,4,2,6,3]=>[3,6,2,4,1,5,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,5,2,6,3,4,7]=>[1,5,6,2,3,4,7]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,5,2,6,3,7,4]=>[5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,5,2,6,4,3,7]=>[5,6,4,1,2,3,7]=>[7,3,2,1,4,6,5]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[1,5,2,6,4,7,3]=>[5,6,4,1,2,7,3]=>[3,7,2,1,4,6,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[1,5,2,6,7,3,4]=>[1,5,6,2,3,7,4]=>[4,7,3,2,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,5,2,6,7,4,3]=>[5,6,7,1,2,4,3]=>[3,4,2,1,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[1,5,2,7,3,4,6]=>[1,5,2,7,3,4,6]=>[6,4,3,7,2,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,5,2,7,3,6,4]=>[5,7,1,6,2,3,4]=>[4,3,2,6,1,7,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,5,2,7,4,3,6]=>[5,4,7,1,2,3,6]=>[6,3,2,1,7,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,5,2,7,4,6,3]=>[5,7,1,4,2,6,3]=>[3,6,2,4,1,7,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,5,2,7,6,3,4]=>[1,7,5,6,2,3,4]=>[4,3,2,6,5,7,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,5,2,7,6,4,3]=>[7,5,6,4,1,2,3]=>[3,2,1,4,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,5,3,2,4,6,7]=>[3,5,1,2,4,6,7]=>[7,6,4,2,1,5,3]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[1,5,3,2,4,7,6]=>[7,3,5,1,2,4,6]=>[6,4,2,1,5,3,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,5,3,2,6,4,7]=>[5,6,3,1,2,4,7]=>[7,4,2,1,3,6,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,5,3,2,6,7,4]=>[5,6,3,1,2,7,4]=>[4,7,2,1,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,5,3,2,7,4,6]=>[5,3,7,1,2,4,6]=>[6,4,2,1,7,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,5,3,2,7,6,4]=>[7,5,6,3,1,2,4]=>[4,2,1,3,6,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,5,3,4,2,6,7]=>[5,1,3,4,2,6,7]=>[7,6,2,4,3,1,5]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[1,5,3,4,2,7,6]=>[7,5,1,3,4,2,6]=>[6,2,4,3,1,5,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,5,3,4,6,2,7]=>[5,1,3,4,6,2,7]=>[7,2,6,4,3,1,5]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[1,5,3,4,6,7,2]=>[5,1,3,4,6,7,2]=>[2,7,6,4,3,1,5]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[1,5,3,4,7,2,6]=>[5,1,3,4,2,7,6]=>[6,7,2,4,3,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,5,3,4,7,6,2]=>[7,5,1,3,4,6,2]=>[2,6,4,3,1,5,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,5,3,6,2,4,7]=>[3,5,1,2,6,4,7]=>[7,4,6,2,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,5,3,6,2,7,4]=>[5,6,3,1,7,2,4]=>[4,2,7,1,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,5,3,6,4,2,7]=>[5,6,3,1,4,2,7]=>[7,2,4,1,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[1,5,3,6,4,7,2]=>[5,6,3,1,4,7,2]=>[2,7,4,1,3,6,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[1,5,3,6,7,2,4]=>[3,5,1,2,6,7,4]=>[4,7,6,2,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,5,3,6,7,4,2]=>[5,6,3,1,7,4,2]=>[2,4,7,1,3,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[1,5,3,7,2,4,6]=>[3,5,1,2,4,7,6]=>[6,7,4,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,5,3,7,2,6,4]=>[5,7,3,1,2,6,4]=>[4,6,2,1,3,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,5,3,7,4,2,6]=>[5,3,7,1,4,2,6]=>[6,2,4,1,7,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,5,3,7,4,6,2]=>[5,7,1,3,4,6,2]=>[2,6,4,3,1,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,5,3,7,6,2,4]=>[3,7,5,1,2,6,4]=>[4,6,2,1,5,7,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,5,3,7,6,4,2]=>[7,5,6,3,1,4,2]=>[2,4,1,3,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,5,4,2,3,6,7]=>[1,5,4,2,3,6,7]=>[7,6,3,2,4,5,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[1,5,4,2,3,7,6]=>[7,1,5,4,2,3,6]=>[6,3,2,4,5,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,5,4,2,6,3,7]=>[5,4,6,1,2,3,7]=>[7,3,2,1,6,4,5]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[1,5,4,2,6,7,3]=>[5,4,6,1,2,7,3]=>[3,7,2,1,6,4,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[1,5,4,2,7,3,6]=>[5,4,1,7,2,3,6]=>[6,3,2,7,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,5,4,2,7,6,3]=>[7,5,4,6,1,2,3]=>[3,2,1,6,4,5,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,5,4,3,2,6,7]=>[5,4,3,1,2,6,7]=>[7,6,2,1,3,4,5]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[1,5,4,3,2,7,6]=>[7,5,4,3,1,2,6]=>[6,2,1,3,4,5,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,5,4,3,6,2,7]=>[5,4,3,1,6,2,7]=>[7,2,6,1,3,4,5]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[1,5,4,3,6,7,2]=>[5,4,3,1,6,7,2]=>[2,7,6,1,3,4,5]=>[[.,.],[[[.,[.,[.,.]]],.],.]]
[1,5,4,3,7,2,6]=>[5,4,3,1,2,7,6]=>[6,7,2,1,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,5,4,3,7,6,2]=>[7,5,4,3,1,6,2]=>[2,6,1,3,4,5,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,5,4,6,2,3,7]=>[1,5,4,2,6,3,7]=>[7,3,6,2,4,5,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[1,5,4,6,2,7,3]=>[5,4,6,1,7,2,3]=>[3,2,7,1,6,4,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[1,5,4,6,3,2,7]=>[5,4,6,1,3,2,7]=>[7,2,3,1,6,4,5]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[1,5,4,6,3,7,2]=>[5,4,6,1,3,7,2]=>[2,7,3,1,6,4,5]=>[[.,.],[[.,[[.,[.,.]],.]],.]]
[1,5,4,6,7,2,3]=>[1,5,4,2,6,7,3]=>[3,7,6,2,4,5,1]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[1,5,4,6,7,3,2]=>[5,4,6,1,7,3,2]=>[2,3,7,1,6,4,5]=>[[.,.],[.,[[[.,[.,.]],.],.]]]
[1,5,4,7,2,3,6]=>[1,5,4,2,3,7,6]=>[6,7,3,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,5,4,7,2,6,3]=>[5,4,7,1,2,6,3]=>[3,6,2,1,7,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,5,4,7,3,2,6]=>[5,4,1,7,3,2,6]=>[6,2,3,7,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,5,4,7,3,6,2]=>[5,4,3,1,7,6,2]=>[2,6,7,1,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,5,4,7,6,2,3]=>[1,7,5,4,2,6,3]=>[3,6,2,4,5,7,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,5,4,7,6,3,2]=>[7,5,4,6,1,3,2]=>[2,3,1,6,4,5,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[1,5,6,2,3,4,7]=>[1,2,5,3,6,4,7]=>[7,4,6,3,5,2,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,5,6,2,3,7,4]=>[5,1,6,2,7,3,4]=>[4,3,7,2,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,5,6,2,4,3,7]=>[5,1,6,2,4,3,7]=>[7,3,4,2,6,1,5]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[1,5,6,2,4,7,3]=>[5,1,6,2,4,7,3]=>[3,7,4,2,6,1,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[1,5,6,2,7,3,4]=>[1,5,6,2,7,3,4]=>[4,3,7,2,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,5,6,2,7,4,3]=>[5,6,7,1,4,2,3]=>[3,2,4,1,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[1,5,6,3,2,4,7]=>[1,5,6,3,2,4,7]=>[7,4,2,3,6,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,5,6,3,2,7,4]=>[5,6,7,1,3,2,4]=>[4,2,3,1,7,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,5,6,3,4,2,7]=>[5,1,3,6,4,2,7]=>[7,2,4,6,3,1,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[1,5,6,3,4,7,2]=>[5,1,3,6,4,7,2]=>[2,7,4,6,3,1,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[1,5,6,3,7,2,4]=>[1,5,6,3,2,7,4]=>[4,7,2,3,6,5,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,5,6,3,7,4,2]=>[5,6,7,1,3,4,2]=>[2,4,3,1,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[1,5,6,4,2,3,7]=>[1,5,6,2,4,3,7]=>[7,3,4,2,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[1,5,6,4,2,7,3]=>[5,6,4,1,7,2,3]=>[3,2,7,1,4,6,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[1,5,6,4,3,2,7]=>[5,6,4,1,3,2,7]=>[7,2,3,1,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[1,5,6,4,3,7,2]=>[5,6,4,1,3,7,2]=>[2,7,3,1,4,6,5]=>[[.,.],[[.,[.,[[.,.],.]]],.]]
[1,5,6,4,7,2,3]=>[1,5,6,2,4,7,3]=>[3,7,4,2,6,5,1]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[1,5,6,4,7,3,2]=>[5,6,4,1,7,3,2]=>[2,3,7,1,4,6,5]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[1,5,6,7,2,3,4]=>[1,2,5,3,6,7,4]=>[4,7,6,3,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,5,6,7,2,4,3]=>[5,1,6,2,7,4,3]=>[3,4,7,2,6,1,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[1,5,6,7,3,2,4]=>[1,5,6,3,7,2,4]=>[4,2,7,3,6,5,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[1,5,6,7,3,4,2]=>[5,1,3,6,7,4,2]=>[2,4,7,6,3,1,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[1,5,6,7,4,2,3]=>[1,5,6,2,7,4,3]=>[3,4,7,2,6,5,1]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[1,5,6,7,4,3,2]=>[5,6,7,1,4,3,2]=>[2,3,4,1,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[1,5,7,2,3,4,6]=>[1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,5,7,2,3,6,4]=>[5,1,7,2,3,6,4]=>[4,6,3,2,7,1,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,5,7,2,4,3,6]=>[5,1,2,7,4,3,6]=>[6,3,4,7,2,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,5,7,2,4,6,3]=>[5,1,4,2,7,6,3]=>[3,6,7,2,4,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,5,7,2,6,3,4]=>[1,5,7,2,3,6,4]=>[4,6,3,2,7,5,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,5,7,2,6,4,3]=>[5,7,6,1,2,4,3]=>[3,4,2,1,6,7,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,5,7,3,2,4,6]=>[1,5,3,7,2,4,6]=>[6,4,2,7,3,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,5,7,3,2,6,4]=>[5,7,1,6,3,2,4]=>[4,2,3,6,1,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,5,7,3,4,2,6]=>[5,1,3,4,7,2,6]=>[6,2,7,4,3,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,5,7,3,4,6,2]=>[5,1,3,4,7,6,2]=>[2,6,7,4,3,1,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,5,7,3,6,2,4]=>[3,5,1,2,7,6,4]=>[4,6,7,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,5,7,3,6,4,2]=>[5,7,3,1,6,4,2]=>[2,4,6,1,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,5,7,4,2,3,6]=>[1,5,2,7,4,3,6]=>[6,3,4,7,2,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,5,7,4,2,6,3]=>[5,7,1,4,6,2,3]=>[3,2,6,4,1,7,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,5,7,4,3,2,6]=>[5,4,7,1,3,2,6]=>[6,2,3,1,7,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,5,7,4,3,6,2]=>[5,7,1,4,3,6,2]=>[2,6,3,4,1,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,5,7,4,6,2,3]=>[1,5,4,2,7,6,3]=>[3,6,7,2,4,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,5,7,4,6,3,2]=>[5,4,7,1,6,3,2]=>[2,3,6,1,7,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[1,5,7,6,2,3,4]=>[1,2,7,5,3,6,4]=>[4,6,3,5,7,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,5,7,6,2,4,3]=>[7,1,5,6,2,4,3]=>[3,4,2,6,5,1,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,5,7,6,3,2,4]=>[1,7,5,6,3,2,4]=>[4,2,3,6,5,7,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,5,7,6,3,4,2]=>[7,1,5,3,6,4,2]=>[2,4,6,3,5,1,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,5,7,6,4,2,3]=>[1,7,5,6,2,4,3]=>[3,4,2,6,5,7,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,5,7,6,4,3,2]=>[7,5,6,4,1,3,2]=>[2,3,1,4,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[1,6,2,3,4,5,7]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[1,6,2,3,4,7,5]=>[6,1,2,7,3,4,5]=>[5,4,3,7,2,1,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,6,2,3,5,4,7]=>[6,1,2,5,3,4,7]=>[7,4,3,5,2,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,6,2,3,5,7,4]=>[6,1,2,5,3,7,4]=>[4,7,3,5,2,1,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,6,2,3,7,4,5]=>[1,6,2,7,3,4,5]=>[5,4,3,7,2,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,6,2,3,7,5,4]=>[6,7,1,5,2,3,4]=>[4,3,2,5,1,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[7,5,3,2,4,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,6,2,4,3,7,5]=>[6,7,1,4,2,3,5]=>[5,3,2,4,1,7,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,6,2,4,5,3,7]=>[6,1,2,4,5,3,7]=>[7,3,5,4,2,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,6,2,4,5,7,3]=>[6,1,2,4,5,7,3]=>[3,7,5,4,2,1,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,6,2,4,7,3,5]=>[1,6,4,2,3,7,5]=>[5,7,3,2,4,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,6,2,4,7,5,3]=>[6,7,1,4,2,5,3]=>[3,5,2,4,1,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,6,2,5,3,4,7]=>[1,6,2,5,3,4,7]=>[7,4,3,5,2,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,6,2,5,3,7,4]=>[6,5,1,7,2,3,4]=>[4,3,2,7,1,5,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,6,2,5,4,3,7]=>[6,5,1,4,2,3,7]=>[7,3,2,4,1,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,6,2,5,4,7,3]=>[6,5,1,4,2,7,3]=>[3,7,2,4,1,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[1,6,2,5,7,3,4]=>[1,6,2,5,3,7,4]=>[4,7,3,5,2,6,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,6,2,5,7,4,3]=>[6,5,1,7,2,4,3]=>[3,4,2,7,1,5,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[1,6,2,7,3,4,5]=>[1,2,6,7,3,4,5]=>[5,4,3,7,6,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,6,2,7,3,5,4]=>[6,1,7,5,2,3,4]=>[4,3,2,5,7,1,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,6,2,7,4,3,5]=>[4,6,7,1,2,3,5]=>[5,3,2,1,7,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,6,2,7,4,5,3]=>[6,1,7,4,2,5,3]=>[3,5,2,4,7,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,6,2,7,5,3,4]=>[1,6,7,5,2,3,4]=>[4,3,2,5,7,6,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,6,2,7,5,4,3]=>[6,7,5,4,1,2,3]=>[3,2,1,4,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,6,3,2,4,5,7]=>[3,1,6,2,4,5,7]=>[7,5,4,2,6,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[1,6,3,2,4,7,5]=>[6,3,7,1,2,4,5]=>[5,4,2,1,7,3,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,6,3,2,5,4,7]=>[6,3,5,1,2,4,7]=>[7,4,2,1,5,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,6,3,2,5,7,4]=>[6,3,5,1,2,7,4]=>[4,7,2,1,5,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,6,3,2,7,4,5]=>[3,6,7,1,2,4,5]=>[5,4,2,1,7,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,6,3,2,7,5,4]=>[6,7,5,3,1,2,4]=>[4,2,1,3,5,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,6,3,4,2,5,7]=>[1,6,3,4,2,5,7]=>[7,5,2,4,3,6,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[1,6,3,4,2,7,5]=>[6,7,1,3,4,2,5]=>[5,2,4,3,1,7,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,6,3,4,5,2,7]=>[3,1,6,4,5,2,7]=>[7,2,5,4,6,1,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[1,6,3,4,5,7,2]=>[3,1,6,4,5,7,2]=>[2,7,5,4,6,1,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[1,6,3,4,7,2,5]=>[1,6,3,4,2,7,5]=>[5,7,2,4,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,6,3,4,7,5,2]=>[6,7,1,3,4,5,2]=>[2,5,4,3,1,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[1,6,3,5,2,4,7]=>[1,6,3,2,5,4,7]=>[7,4,5,2,3,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,6,3,5,2,7,4]=>[6,5,1,3,7,2,4]=>[4,2,7,3,1,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,6,3,5,4,2,7]=>[6,5,1,3,4,2,7]=>[7,2,4,3,1,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,6,3,5,4,7,2]=>[6,5,1,3,4,7,2]=>[2,7,4,3,1,5,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[1,6,3,5,7,2,4]=>[1,6,3,2,5,7,4]=>[4,7,5,2,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,6,3,5,7,4,2]=>[6,5,1,3,7,4,2]=>[2,4,7,3,1,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[1,6,3,7,2,4,5]=>[3,1,6,2,4,7,5]=>[5,7,4,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,6,3,7,2,5,4]=>[6,3,7,1,2,5,4]=>[4,5,2,1,7,3,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,6,3,7,4,2,5]=>[3,6,7,1,4,2,5]=>[5,2,4,1,7,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,6,3,7,4,5,2]=>[6,1,7,3,4,5,2]=>[2,5,4,3,7,1,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[1,6,3,7,5,2,4]=>[3,6,7,1,2,5,4]=>[4,5,2,1,7,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,6,3,7,5,4,2]=>[6,7,5,3,1,4,2]=>[2,4,1,3,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[1,6,4,2,3,5,7]=>[1,4,6,2,3,5,7]=>[7,5,3,2,6,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,6,4,2,3,7,5]=>[6,1,7,4,2,3,5]=>[5,3,2,4,7,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,6,4,2,5,3,7]=>[4,6,5,1,2,3,7]=>[7,3,2,1,5,6,4]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,6,4,2,5,7,3]=>[4,6,5,1,2,7,3]=>[3,7,2,1,5,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,6,4,2,7,3,5]=>[4,6,1,7,2,3,5]=>[5,3,2,7,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,6,4,2,7,5,3]=>[6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,6,4,3,2,5,7]=>[4,6,3,1,2,5,7]=>[7,5,2,1,3,6,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[1,6,4,3,2,7,5]=>[6,7,4,3,1,2,5]=>[5,2,1,3,4,7,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,6,4,3,5,2,7]=>[4,6,3,1,5,2,7]=>[7,2,5,1,3,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,6,4,3,5,7,2]=>[4,6,3,1,5,7,2]=>[2,7,5,1,3,6,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[1,6,4,3,7,2,5]=>[4,6,3,1,2,7,5]=>[5,7,2,1,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,6,4,3,7,5,2]=>[6,7,4,3,1,5,2]=>[2,5,1,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[1,6,4,5,2,3,7]=>[1,6,2,4,5,3,7]=>[7,3,5,4,2,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,6,4,5,2,7,3]=>[6,4,1,5,7,2,3]=>[3,2,7,5,1,4,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,6,4,5,3,2,7]=>[6,4,1,5,3,2,7]=>[7,2,3,5,1,4,6]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[1,6,4,5,3,7,2]=>[6,4,1,5,3,7,2]=>[2,7,3,5,1,4,6]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[1,6,4,5,7,2,3]=>[1,6,2,4,5,7,3]=>[3,7,5,4,2,6,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[1,6,4,5,7,3,2]=>[6,4,1,5,7,3,2]=>[2,3,7,5,1,4,6]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[1,6,4,7,2,3,5]=>[1,4,6,2,3,7,5]=>[5,7,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,6,4,7,2,5,3]=>[4,6,7,1,2,5,3]=>[3,5,2,1,7,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,6,4,7,3,2,5]=>[4,6,1,7,3,2,5]=>[5,2,3,7,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,6,4,7,3,5,2]=>[4,6,3,1,7,5,2]=>[2,5,7,1,3,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[1,6,4,7,5,2,3]=>[1,6,7,4,2,5,3]=>[3,5,2,4,7,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,6,4,7,5,3,2]=>[6,7,4,5,1,3,2]=>[2,3,1,5,4,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[1,6,5,2,3,4,7]=>[1,2,6,5,3,4,7]=>[7,4,3,5,6,2,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,6,5,2,3,7,4]=>[6,1,5,7,2,3,4]=>[4,3,2,7,5,1,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,6,5,2,4,3,7]=>[6,1,5,4,2,3,7]=>[7,3,2,4,5,1,6]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,6,5,2,4,7,3]=>[6,1,5,4,2,7,3]=>[3,7,2,4,5,1,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[1,6,5,2,7,3,4]=>[1,6,5,7,2,3,4]=>[4,3,2,7,5,6,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,6,5,2,7,4,3]=>[6,5,7,4,1,2,3]=>[3,2,1,4,7,5,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[1,6,5,3,2,4,7]=>[3,6,5,1,2,4,7]=>[7,4,2,1,5,6,3]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,6,5,3,2,7,4]=>[6,5,7,3,1,2,4]=>[4,2,1,3,7,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,6,5,3,4,2,7]=>[6,1,5,3,4,2,7]=>[7,2,4,3,5,1,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,6,5,3,4,7,2]=>[6,1,5,3,4,7,2]=>[2,7,4,3,5,1,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[1,6,5,3,7,2,4]=>[3,6,5,1,2,7,4]=>[4,7,2,1,5,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,6,5,3,7,4,2]=>[6,5,7,3,1,4,2]=>[2,4,1,3,7,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[1,6,5,4,2,3,7]=>[1,6,5,4,2,3,7]=>[7,3,2,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,6,5,4,2,7,3]=>[6,5,4,7,1,2,3]=>[3,2,1,7,4,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[1,6,5,4,3,2,7]=>[6,5,4,3,1,2,7]=>[7,2,1,3,4,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,6,5,4,3,7,2]=>[6,5,4,3,1,7,2]=>[2,7,1,3,4,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[1,6,5,4,7,2,3]=>[1,6,5,4,2,7,3]=>[3,7,2,4,5,6,1]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[1,6,5,4,7,3,2]=>[6,5,4,7,1,3,2]=>[2,3,1,7,4,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[1,6,5,7,2,3,4]=>[1,2,6,5,3,7,4]=>[4,7,3,5,6,2,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[1,6,5,7,2,4,3]=>[6,1,5,7,2,4,3]=>[3,4,2,7,5,1,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[1,6,5,7,3,2,4]=>[1,6,5,7,3,2,4]=>[4,2,3,7,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,6,5,7,3,4,2]=>[6,1,5,3,7,4,2]=>[2,4,7,3,5,1,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[1,6,5,7,4,2,3]=>[1,6,5,7,2,4,3]=>[3,4,2,7,5,6,1]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[1,6,5,7,4,3,2]=>[6,5,7,4,1,3,2]=>[2,3,1,4,7,5,6]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[1,6,7,2,3,4,5]=>[1,2,3,6,4,7,5]=>[5,7,4,6,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,6,7,2,3,5,4]=>[6,1,2,7,3,5,4]=>[4,5,3,7,2,1,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,6,7,2,4,3,5]=>[1,6,2,7,4,3,5]=>[5,3,4,7,2,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,6,7,2,4,5,3]=>[6,1,2,4,7,5,3]=>[3,5,7,4,2,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,6,7,2,5,3,4]=>[1,6,2,7,3,5,4]=>[4,5,3,7,2,6,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,6,7,2,5,4,3]=>[6,7,1,5,2,4,3]=>[3,4,2,5,1,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,6,7,3,2,4,5]=>[1,3,6,7,2,4,5]=>[5,4,2,7,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,6,7,3,2,5,4]=>[6,1,7,5,3,2,4]=>[4,2,3,5,7,1,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,6,7,3,4,2,5]=>[1,6,3,4,7,2,5]=>[5,2,7,4,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,6,7,3,4,5,2]=>[3,1,6,4,7,5,2]=>[2,5,7,4,6,1,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[1,6,7,3,5,2,4]=>[1,6,3,2,7,5,4]=>[4,5,7,2,3,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,6,7,3,5,4,2]=>[6,7,1,3,5,4,2]=>[2,4,5,3,1,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[1,6,7,4,2,3,5]=>[1,2,6,7,4,3,5]=>[5,3,4,7,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,6,7,4,2,5,3]=>[6,1,7,4,5,2,3]=>[3,2,5,4,7,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,6,7,4,3,2,5]=>[4,6,7,1,3,2,5]=>[5,2,3,1,7,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,6,7,4,3,5,2]=>[6,1,7,4,3,5,2]=>[2,5,3,4,7,1,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[1,6,7,4,5,2,3]=>[1,6,2,4,7,5,3]=>[3,5,7,4,2,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,6,7,4,5,3,2]=>[6,4,1,7,5,3,2]=>[2,3,5,7,1,4,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[1,6,7,5,2,3,4]=>[1,2,6,7,3,5,4]=>[4,5,3,7,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,6,7,5,2,4,3]=>[6,1,7,5,2,4,3]=>[3,4,2,5,7,1,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,6,7,5,3,2,4]=>[1,6,7,5,3,2,4]=>[4,2,3,5,7,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,6,7,5,3,4,2]=>[6,1,7,3,5,4,2]=>[2,4,5,3,7,1,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[1,6,7,5,4,2,3]=>[1,6,7,5,2,4,3]=>[3,4,2,5,7,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,6,7,5,4,3,2]=>[6,7,5,4,1,3,2]=>[2,3,1,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[1,7,2,3,4,5,6]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,.]]
[1,7,2,3,4,6,5]=>[7,1,2,3,6,4,5]=>[5,4,6,3,2,1,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[6,4,3,5,2,7,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,7,2,3,5,6,4]=>[7,1,2,3,5,6,4]=>[4,6,5,3,2,1,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,7,2,3,6,4,5]=>[1,7,2,3,6,4,5]=>[5,4,6,3,2,7,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,7,2,3,6,5,4]=>[7,6,1,2,5,3,4]=>[4,3,5,2,1,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>[6,5,3,2,7,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,7,2,4,3,6,5]=>[7,1,6,4,2,3,5]=>[5,3,2,4,6,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,7,2,4,5,3,6]=>[1,7,2,4,5,3,6]=>[6,3,5,4,2,7,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,7,2,4,5,6,3]=>[4,1,2,7,5,6,3]=>[3,6,5,7,2,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,7,2,4,6,3,5]=>[1,7,2,4,3,6,5]=>[5,6,3,4,2,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,7,2,4,6,5,3]=>[7,6,1,2,4,5,3]=>[3,5,4,2,1,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,7,2,5,3,4,6]=>[1,2,7,5,3,4,6]=>[6,4,3,5,7,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,7,2,5,3,6,4]=>[7,1,5,6,2,3,4]=>[4,3,2,6,5,1,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,7,2,5,4,3,6]=>[5,7,1,4,2,3,6]=>[6,3,2,4,1,7,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,7,2,5,4,6,3]=>[7,1,5,4,2,6,3]=>[3,6,2,4,5,1,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,7,2,5,6,3,4]=>[1,7,2,3,5,6,4]=>[4,6,5,3,2,7,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,7,2,5,6,4,3]=>[7,5,1,2,6,4,3]=>[3,4,6,2,1,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,7,2,6,3,4,5]=>[1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,7,2,6,3,5,4]=>[7,1,6,2,5,3,4]=>[4,3,5,2,6,1,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,7,2,6,4,3,5]=>[1,7,6,4,2,3,5]=>[5,3,2,4,6,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,7,2,6,4,5,3]=>[7,1,6,2,4,5,3]=>[3,5,4,2,6,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,7,2,6,5,3,4]=>[1,7,6,2,5,3,4]=>[4,3,5,2,6,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,7,2,6,5,4,3]=>[7,6,5,1,4,2,3]=>[3,2,4,1,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,7,3,2,4,5,6]=>[3,1,2,7,4,5,6]=>[6,5,4,7,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[1,7,3,2,4,6,5]=>[7,3,1,6,2,4,5]=>[5,4,2,6,1,3,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,7,3,2,5,4,6]=>[3,7,5,1,2,4,6]=>[6,4,2,1,5,7,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,7,3,2,5,6,4]=>[7,3,1,5,2,6,4]=>[4,6,2,5,1,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,7,3,2,6,4,5]=>[3,7,1,6,2,4,5]=>[5,4,2,6,1,7,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,7,3,2,6,5,4]=>[7,6,3,5,1,2,4]=>[4,2,1,5,3,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,7,3,4,2,5,6]=>[1,3,7,4,2,5,6]=>[6,5,2,4,7,3,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[1,7,3,4,2,6,5]=>[7,1,6,3,4,2,5]=>[5,2,4,3,6,1,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,7,3,4,5,2,6]=>[3,1,4,7,5,2,6]=>[6,2,5,7,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[1,7,3,4,5,6,2]=>[3,1,4,7,5,6,2]=>[2,6,5,7,4,1,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,7,3,4,6,2,5]=>[3,1,4,7,2,6,5]=>[5,6,2,7,4,1,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,7,3,4,6,5,2]=>[7,3,1,6,4,5,2]=>[2,5,4,6,1,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,7,3,5,2,4,6]=>[1,3,7,2,5,4,6]=>[6,4,5,2,7,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,7,3,5,2,6,4]=>[7,1,5,3,6,2,4]=>[4,2,6,3,5,1,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,7,3,5,4,2,6]=>[5,7,1,3,4,2,6]=>[6,2,4,3,1,7,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,7,3,5,4,6,2]=>[7,1,5,3,4,6,2]=>[2,6,4,3,5,1,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,7,3,5,6,2,4]=>[3,1,2,7,5,6,4]=>[4,6,5,7,2,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,7,3,5,6,4,2]=>[7,3,1,5,6,4,2]=>[2,4,6,5,1,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,7,3,6,2,4,5]=>[1,3,7,2,4,6,5]=>[5,6,4,2,7,3,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,7,3,6,2,5,4]=>[7,1,6,3,2,5,4]=>[4,5,2,3,6,1,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,7,3,6,4,2,5]=>[1,7,6,3,4,2,5]=>[5,2,4,3,6,7,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,7,3,6,4,5,2]=>[7,1,3,6,4,5,2]=>[2,5,4,6,3,1,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,7,3,6,5,2,4]=>[1,7,6,3,2,5,4]=>[4,5,2,3,6,7,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,7,3,6,5,4,2]=>[7,6,5,1,3,4,2]=>[2,4,3,1,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,4,2,3,5,6]=>[1,4,2,7,3,5,6]=>[6,5,3,7,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,7,4,2,3,6,5]=>[7,1,4,6,2,3,5]=>[5,3,2,6,4,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,7,4,2,5,3,6]=>[4,5,7,1,2,3,6]=>[6,3,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,7,4,2,5,6,3]=>[4,7,1,5,2,6,3]=>[3,6,2,5,1,7,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,7,4,2,6,3,5]=>[4,1,7,6,2,3,5]=>[5,3,2,6,7,1,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,7,4,2,6,5,3]=>[7,4,6,5,1,2,3]=>[3,2,1,5,6,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,7,4,3,2,5,6]=>[4,3,7,1,2,5,6]=>[6,5,2,1,7,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,7,4,3,2,6,5]=>[7,4,6,3,1,2,5]=>[5,2,1,3,6,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,7,4,3,5,2,6]=>[4,3,7,1,5,2,6]=>[6,2,5,1,7,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[1,7,4,3,5,6,2]=>[4,7,1,3,5,6,2]=>[2,6,5,3,1,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,7,4,3,6,2,5]=>[4,3,7,1,2,6,5]=>[5,6,2,1,7,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,7,4,3,6,5,2]=>[7,4,6,3,1,5,2]=>[2,5,1,3,6,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,7,4,5,2,3,6]=>[1,2,7,4,5,3,6]=>[6,3,5,4,7,2,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,7,4,5,2,6,3]=>[7,1,4,5,6,2,3]=>[3,2,6,5,4,1,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,7,4,5,3,2,6]=>[4,7,1,5,3,2,6]=>[6,2,3,5,1,7,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[1,7,4,5,3,6,2]=>[7,1,4,5,3,6,2]=>[2,6,3,5,4,1,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[1,7,4,5,6,2,3]=>[1,4,2,7,5,6,3]=>[3,6,5,7,2,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,7,4,5,6,3,2]=>[4,7,1,5,6,3,2]=>[2,3,6,5,1,7,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[1,7,4,6,2,3,5]=>[1,2,7,4,3,6,5]=>[5,6,3,4,7,2,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,7,4,6,2,5,3]=>[7,1,4,6,2,5,3]=>[3,5,2,6,4,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,7,4,6,3,2,5]=>[4,7,1,3,6,2,5]=>[5,2,6,3,1,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,7,4,6,3,5,2]=>[7,1,4,3,6,5,2]=>[2,5,6,3,4,1,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,7,4,6,5,2,3]=>[1,7,6,2,4,5,3]=>[3,5,4,2,6,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,7,4,6,5,3,2]=>[7,6,4,1,5,3,2]=>[2,3,5,1,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,5,2,3,4,6]=>[1,2,5,7,3,4,6]=>[6,4,3,7,5,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,7,5,2,3,6,4]=>[5,1,7,6,2,3,4]=>[4,3,2,6,7,1,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,7,5,2,4,3,6]=>[1,7,5,4,2,3,6]=>[6,3,2,4,5,7,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,7,5,2,4,6,3]=>[5,1,7,4,2,6,3]=>[3,6,2,4,7,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,7,5,2,6,3,4]=>[1,5,7,6,2,3,4]=>[4,3,2,6,7,5,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,7,5,2,6,4,3]=>[5,7,6,4,1,2,3]=>[3,2,1,4,6,7,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,7,5,3,2,4,6]=>[3,5,7,1,2,4,6]=>[6,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,7,5,3,2,6,4]=>[5,7,6,3,1,2,4]=>[4,2,1,3,6,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,7,5,3,4,2,6]=>[1,7,5,3,4,2,6]=>[6,2,4,3,5,7,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,7,5,3,4,6,2]=>[5,1,7,3,4,6,2]=>[2,6,4,3,7,1,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,7,5,3,6,2,4]=>[3,5,7,1,2,6,4]=>[4,6,2,1,7,5,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,7,5,3,6,4,2]=>[5,7,6,3,1,4,2]=>[2,4,1,3,6,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,7,5,4,2,3,6]=>[1,5,7,4,2,3,6]=>[6,3,2,4,7,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,7,5,4,2,6,3]=>[5,7,4,6,1,2,3]=>[3,2,1,6,4,7,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,7,5,4,3,2,6]=>[5,7,4,3,1,2,6]=>[6,2,1,3,4,7,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,7,5,4,3,6,2]=>[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,7,5,4,6,2,3]=>[1,5,7,4,2,6,3]=>[3,6,2,4,7,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,7,5,4,6,3,2]=>[5,7,4,6,1,3,2]=>[2,3,1,6,4,7,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[1,7,5,6,2,3,4]=>[1,2,7,3,5,6,4]=>[4,6,5,3,7,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,7,5,6,2,4,3]=>[7,1,5,2,6,4,3]=>[3,4,6,2,5,1,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,7,5,6,3,2,4]=>[1,7,5,3,6,2,4]=>[4,2,6,3,5,7,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,7,5,6,3,4,2]=>[7,1,3,5,6,4,2]=>[2,4,6,5,3,1,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,7,5,6,4,2,3]=>[1,7,5,2,6,4,3]=>[3,4,6,2,5,7,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,7,5,6,4,3,2]=>[7,5,6,1,4,3,2]=>[2,3,4,1,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[1,7,6,2,3,4,5]=>[1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,7,6,2,3,5,4]=>[7,1,2,6,5,3,4]=>[4,3,5,6,2,1,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,7,6,2,4,3,5]=>[1,7,4,6,2,3,5]=>[5,3,2,6,4,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,7,6,2,4,5,3]=>[7,1,2,6,4,5,3]=>[3,5,4,6,2,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,7,6,2,5,3,4]=>[1,7,2,6,5,3,4]=>[4,3,5,6,2,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,7,6,2,5,4,3]=>[7,6,1,5,4,2,3]=>[3,2,4,5,1,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,7,6,3,2,4,5]=>[3,1,7,6,2,4,5]=>[5,4,2,6,7,1,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,7,6,3,2,5,4]=>[7,3,6,5,1,2,4]=>[4,2,1,5,6,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,7,6,3,4,2,5]=>[1,7,3,6,4,2,5]=>[5,2,4,6,3,7,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[1,7,6,3,4,5,2]=>[3,1,7,6,4,5,2]=>[2,5,4,6,7,1,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,7,6,3,5,2,4]=>[1,7,3,6,2,5,4]=>[4,5,2,6,3,7,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,7,6,3,5,4,2]=>[7,6,1,5,3,4,2]=>[2,4,3,5,1,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,6,4,2,3,5]=>[1,4,7,6,2,3,5]=>[5,3,2,6,7,4,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,7,6,4,2,5,3]=>[4,7,6,5,1,2,3]=>[3,2,1,5,6,7,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,7,6,4,3,2,5]=>[4,7,6,3,1,2,5]=>[5,2,1,3,6,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,7,6,4,3,5,2]=>[4,7,6,3,1,5,2]=>[2,5,1,3,6,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,7,6,4,5,2,3]=>[1,7,2,6,4,5,3]=>[3,5,4,6,2,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,7,6,4,5,3,2]=>[7,6,1,4,5,3,2]=>[2,3,5,4,1,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,6,5,2,3,4]=>[1,2,7,6,5,3,4]=>[4,3,5,6,7,2,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,7,6,5,2,4,3]=>[7,1,6,5,4,2,3]=>[3,2,4,5,6,1,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,7,6,5,3,2,4]=>[3,7,6,5,1,2,4]=>[4,2,1,5,6,7,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,7,6,5,3,4,2]=>[7,1,6,5,3,4,2]=>[2,4,3,5,6,1,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,6,5,4,2,3]=>[1,7,6,5,4,2,3]=>[3,2,4,5,6,7,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,7,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],.],.]
[2,1,3,4,5,7,6]=>[7,2,1,3,4,5,6]=>[6,5,4,3,1,2,7]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,1,3,4,6,5,7]=>[6,2,1,3,4,5,7]=>[7,5,4,3,1,2,6]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[2,1,3,4,6,7,5]=>[6,2,1,3,4,7,5]=>[5,7,4,3,1,2,6]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,1,3,4,7,5,6]=>[2,7,1,3,4,5,6]=>[6,5,4,3,1,7,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,1,3,4,7,6,5]=>[7,6,2,1,3,4,5]=>[5,4,3,1,2,6,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,1,3,5,4,6,7]=>[5,2,1,3,4,6,7]=>[7,6,4,3,1,2,5]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[2,1,3,5,4,7,6]=>[7,5,2,1,3,4,6]=>[6,4,3,1,2,5,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,1,3,5,6,4,7]=>[5,2,1,3,6,4,7]=>[7,4,6,3,1,2,5]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[2,1,3,5,6,7,4]=>[5,2,1,3,6,7,4]=>[4,7,6,3,1,2,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,1,3,5,7,4,6]=>[5,2,1,3,4,7,6]=>[6,7,4,3,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,1,3,5,7,6,4]=>[7,5,2,1,3,6,4]=>[4,6,3,1,2,5,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,3,6,4,5,7]=>[2,6,1,3,4,5,7]=>[7,5,4,3,1,6,2]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[2,1,3,6,4,7,5]=>[6,7,2,1,3,4,5]=>[5,4,3,1,2,7,6]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,1,3,6,5,4,7]=>[6,5,2,1,3,4,7]=>[7,4,3,1,2,5,6]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[2,1,3,6,5,7,4]=>[6,5,2,1,3,7,4]=>[4,7,3,1,2,5,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[2,1,3,6,7,4,5]=>[2,6,1,3,4,7,5]=>[5,7,4,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,1,3,6,7,5,4]=>[6,7,2,1,3,5,4]=>[4,5,3,1,2,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[2,1,3,7,4,5,6]=>[2,1,7,3,4,5,6]=>[6,5,4,3,7,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,1,3,7,4,6,5]=>[7,2,6,1,3,4,5]=>[5,4,3,1,6,2,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,1,3,7,5,4,6]=>[5,7,2,1,3,4,6]=>[6,4,3,1,2,7,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,1,3,7,5,6,4]=>[7,2,5,1,3,6,4]=>[4,6,3,1,5,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,3,7,6,4,5]=>[2,7,6,1,3,4,5]=>[5,4,3,1,6,7,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,1,3,7,6,5,4]=>[7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,1,4,3,5,6,7]=>[4,2,1,3,5,6,7]=>[7,6,5,3,1,2,4]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[2,1,4,3,5,7,6]=>[7,4,2,1,3,5,6]=>[6,5,3,1,2,4,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[2,1,4,3,6,5,7]=>[6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[2,1,4,3,6,7,5]=>[6,4,2,1,3,7,5]=>[5,7,3,1,2,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,4,3,7,5,6]=>[4,7,2,1,3,5,6]=>[6,5,3,1,2,7,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[2,1,4,3,7,6,5]=>[7,6,4,2,1,3,5]=>[5,3,1,2,4,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,1,4,5,3,6,7]=>[4,2,1,5,3,6,7]=>[7,6,3,5,1,2,4]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[2,1,4,5,3,7,6]=>[7,4,2,1,5,3,6]=>[6,3,5,1,2,4,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,1,4,5,6,3,7]=>[4,2,1,5,6,3,7]=>[7,3,6,5,1,2,4]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[2,1,4,5,6,7,3]=>[4,2,1,5,6,7,3]=>[3,7,6,5,1,2,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,1,4,5,7,3,6]=>[4,2,1,5,3,7,6]=>[6,7,3,5,1,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,1,4,5,7,6,3]=>[7,4,2,1,5,6,3]=>[3,6,5,1,2,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,4,6,3,5,7]=>[4,2,1,3,6,5,7]=>[7,5,6,3,1,2,4]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[2,1,4,6,3,7,5]=>[6,4,2,1,7,3,5]=>[5,3,7,1,2,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,4,6,5,3,7]=>[6,4,2,1,5,3,7]=>[7,3,5,1,2,4,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,1,4,6,5,7,3]=>[6,4,2,1,5,7,3]=>[3,7,5,1,2,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[2,1,4,6,7,3,5]=>[4,2,1,3,6,7,5]=>[5,7,6,3,1,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,4,6,7,5,3]=>[6,4,2,1,7,5,3]=>[3,5,7,1,2,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,1,4,7,3,5,6]=>[4,2,1,3,5,7,6]=>[6,7,5,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[2,1,4,7,3,6,5]=>[7,4,2,1,3,6,5]=>[5,6,3,1,2,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,1,4,7,5,3,6]=>[4,7,2,1,5,3,6]=>[6,3,5,1,2,7,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,1,4,7,5,6,3]=>[7,2,4,1,5,6,3]=>[3,6,5,1,4,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,4,7,6,3,5]=>[4,7,2,1,3,6,5]=>[5,6,3,1,2,7,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,1,4,7,6,5,3]=>[7,6,4,2,1,5,3]=>[3,5,1,2,4,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,5,3,4,6,7]=>[2,5,1,3,4,6,7]=>[7,6,4,3,1,5,2]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[2,1,5,3,4,7,6]=>[7,2,5,1,3,4,6]=>[6,4,3,1,5,2,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,1,5,3,6,4,7]=>[5,6,2,1,3,4,7]=>[7,4,3,1,2,6,5]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[2,1,5,3,6,7,4]=>[5,6,2,1,3,7,4]=>[4,7,3,1,2,6,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,1,5,3,7,4,6]=>[5,2,7,1,3,4,6]=>[6,4,3,1,7,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,1,5,3,7,6,4]=>[7,5,6,2,1,3,4]=>[4,3,1,2,6,5,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,5,4,3,6,7]=>[5,4,2,1,3,6,7]=>[7,6,3,1,2,4,5]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[2,1,5,4,3,7,6]=>[7,5,4,2,1,3,6]=>[6,3,1,2,4,5,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,1,5,4,6,3,7]=>[5,4,2,1,6,3,7]=>[7,3,6,1,2,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[2,1,5,4,6,7,3]=>[5,4,2,1,6,7,3]=>[3,7,6,1,2,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[2,1,5,4,7,3,6]=>[5,4,2,1,3,7,6]=>[6,7,3,1,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,1,5,4,7,6,3]=>[7,5,4,2,1,6,3]=>[3,6,1,2,4,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,5,6,3,4,7]=>[2,5,1,3,6,4,7]=>[7,4,6,3,1,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[2,1,5,6,3,7,4]=>[5,6,2,1,7,3,4]=>[4,3,7,1,2,6,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,1,5,6,4,3,7]=>[5,6,2,1,4,3,7]=>[7,3,4,1,2,6,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[2,1,5,6,4,7,3]=>[5,6,2,1,4,7,3]=>[3,7,4,1,2,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[2,1,5,6,7,3,4]=>[2,5,1,3,6,7,4]=>[4,7,6,3,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,1,5,6,7,4,3]=>[5,6,2,1,7,4,3]=>[3,4,7,1,2,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[2,1,5,7,3,4,6]=>[2,5,1,3,4,7,6]=>[6,7,4,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,1,5,7,3,6,4]=>[5,7,2,1,3,6,4]=>[4,6,3,1,2,7,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,5,7,4,3,6]=>[5,2,7,1,4,3,6]=>[6,3,4,1,7,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,1,5,7,4,6,3]=>[5,4,2,1,7,6,3]=>[3,6,7,1,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,5,7,6,3,4]=>[2,7,5,1,3,6,4]=>[4,6,3,1,5,7,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,5,7,6,4,3]=>[7,5,6,2,1,4,3]=>[3,4,1,2,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,1,6,3,4,5,7]=>[2,1,6,3,4,5,7]=>[7,5,4,3,6,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[2,1,6,3,4,7,5]=>[6,2,7,1,3,4,5]=>[5,4,3,1,7,2,6]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,1,6,3,5,4,7]=>[6,2,5,1,3,4,7]=>[7,4,3,1,5,2,6]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[2,1,6,3,5,7,4]=>[6,2,5,1,3,7,4]=>[4,7,3,1,5,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[2,1,6,3,7,4,5]=>[2,6,7,1,3,4,5]=>[5,4,3,1,7,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,1,6,3,7,5,4]=>[6,7,5,2,1,3,4]=>[4,3,1,2,5,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[2,1,6,4,3,5,7]=>[4,6,2,1,3,5,7]=>[7,5,3,1,2,6,4]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[2,1,6,4,3,7,5]=>[6,7,4,2,1,3,5]=>[5,3,1,2,4,7,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,6,4,5,3,7]=>[6,2,4,1,5,3,7]=>[7,3,5,1,4,2,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,1,6,4,5,7,3]=>[6,2,4,1,5,7,3]=>[3,7,5,1,4,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[2,1,6,4,7,3,5]=>[4,6,2,1,3,7,5]=>[5,7,3,1,2,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,6,4,7,5,3]=>[6,7,4,2,1,5,3]=>[3,5,1,2,4,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,1,6,5,3,4,7]=>[2,6,5,1,3,4,7]=>[7,4,3,1,5,6,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[2,1,6,5,3,7,4]=>[6,5,7,2,1,3,4]=>[4,3,1,2,7,5,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[2,1,6,5,4,3,7]=>[6,5,4,2,1,3,7]=>[7,3,1,2,4,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,1,6,5,4,7,3]=>[6,5,4,2,1,7,3]=>[3,7,1,2,4,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[2,1,6,5,7,3,4]=>[2,6,5,1,3,7,4]=>[4,7,3,1,5,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[2,1,6,5,7,4,3]=>[6,5,7,2,1,4,3]=>[3,4,1,2,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[2,1,6,7,3,4,5]=>[2,1,6,3,4,7,5]=>[5,7,4,3,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,1,6,7,3,5,4]=>[6,2,7,1,3,5,4]=>[4,5,3,1,7,2,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[2,1,6,7,4,3,5]=>[2,6,7,1,4,3,5]=>[5,3,4,1,7,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,6,7,4,5,3]=>[6,2,4,1,7,5,3]=>[3,5,7,1,4,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,1,6,7,5,3,4]=>[2,6,7,1,3,5,4]=>[4,5,3,1,7,6,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[2,1,6,7,5,4,3]=>[6,7,5,2,1,4,3]=>[3,4,1,2,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[2,1,7,3,4,5,6]=>[2,1,3,7,4,5,6]=>[6,5,4,7,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,1,7,3,4,6,5]=>[7,2,1,6,3,4,5]=>[5,4,3,6,1,2,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,1,7,3,5,4,6]=>[2,7,5,1,3,4,6]=>[6,4,3,1,5,7,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,1,7,3,5,6,4]=>[7,2,1,5,3,6,4]=>[4,6,3,5,1,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,7,3,6,4,5]=>[2,7,1,6,3,4,5]=>[5,4,3,6,1,7,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,1,7,3,6,5,4]=>[7,6,2,5,1,3,4]=>[4,3,1,5,2,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,1,7,4,3,5,6]=>[4,2,7,1,3,5,6]=>[6,5,3,1,7,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[2,1,7,4,3,6,5]=>[7,4,6,2,1,3,5]=>[5,3,1,2,6,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,1,7,4,5,3,6]=>[2,7,4,1,5,3,6]=>[6,3,5,1,4,7,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,1,7,4,5,6,3]=>[7,2,1,4,5,6,3]=>[3,6,5,4,1,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,7,4,6,3,5]=>[2,7,4,1,3,6,5]=>[5,6,3,1,4,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,1,7,4,6,5,3]=>[7,6,2,4,1,5,3]=>[3,5,1,4,2,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,7,5,3,4,6]=>[2,5,7,1,3,4,6]=>[6,4,3,1,7,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,1,7,5,3,6,4]=>[5,7,6,2,1,3,4]=>[4,3,1,2,6,7,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,7,5,4,3,6]=>[5,7,4,2,1,3,6]=>[6,3,1,2,4,7,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,1,7,5,4,6,3]=>[5,7,4,2,1,6,3]=>[3,6,1,2,4,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,7,5,6,3,4]=>[2,7,1,5,3,6,4]=>[4,6,3,5,1,7,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,7,5,6,4,3]=>[7,5,2,6,1,4,3]=>[3,4,1,6,2,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,1,7,6,3,4,5]=>[2,1,7,6,3,4,5]=>[5,4,3,6,7,1,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,1,7,6,3,5,4]=>[7,2,6,5,1,3,4]=>[4,3,1,5,6,2,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,1,7,6,4,3,5]=>[4,7,6,2,1,3,5]=>[5,3,1,2,6,7,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,1,7,6,4,5,3]=>[7,2,6,4,1,5,3]=>[3,5,1,4,6,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,7,6,5,3,4]=>[2,7,6,5,1,3,4]=>[4,3,1,5,6,7,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,1,7,6,5,4,3]=>[7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,3,1,4,5,6,7]=>[2,3,1,4,5,6,7]=>[7,6,5,4,1,3,2]=>[[[[[.,[[.,.],.]],.],.],.],.]
[2,3,1,4,5,7,6]=>[7,2,3,1,4,5,6]=>[6,5,4,1,3,2,7]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[2,3,1,4,6,5,7]=>[6,2,3,1,4,5,7]=>[7,5,4,1,3,2,6]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[2,3,1,4,6,7,5]=>[6,2,3,1,4,7,5]=>[5,7,4,1,3,2,6]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,3,1,4,7,5,6]=>[2,7,3,1,4,5,6]=>[6,5,4,1,3,7,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[2,3,1,4,7,6,5]=>[7,6,2,3,1,4,5]=>[5,4,1,3,2,6,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[2,3,1,5,4,6,7]=>[5,2,3,1,4,6,7]=>[7,6,4,1,3,2,5]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[2,3,1,5,4,7,6]=>[7,5,2,3,1,4,6]=>[6,4,1,3,2,5,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[2,3,1,5,6,4,7]=>[5,2,3,1,6,4,7]=>[7,4,6,1,3,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[2,3,1,5,6,7,4]=>[5,2,3,1,6,7,4]=>[4,7,6,1,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,3,1,5,7,4,6]=>[5,2,3,1,4,7,6]=>[6,7,4,1,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[2,3,1,5,7,6,4]=>[7,5,2,3,1,6,4]=>[4,6,1,3,2,5,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,3,1,6,4,5,7]=>[2,6,3,1,4,5,7]=>[7,5,4,1,3,6,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[2,3,1,6,4,7,5]=>[6,7,2,3,1,4,5]=>[5,4,1,3,2,7,6]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,3,1,6,5,4,7]=>[6,5,2,3,1,4,7]=>[7,4,1,3,2,5,6]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[2,3,1,6,5,7,4]=>[6,5,2,3,1,7,4]=>[4,7,1,3,2,5,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[2,3,1,6,7,4,5]=>[2,6,3,1,4,7,5]=>[5,7,4,1,3,6,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,3,1,6,7,5,4]=>[6,7,2,3,1,5,4]=>[4,5,1,3,2,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[2,3,1,7,4,5,6]=>[2,3,7,1,4,5,6]=>[6,5,4,1,7,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[2,3,1,7,4,6,5]=>[7,2,6,3,1,4,5]=>[5,4,1,3,6,2,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[2,3,1,7,5,4,6]=>[5,7,2,3,1,4,6]=>[6,4,1,3,2,7,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[2,3,1,7,5,6,4]=>[7,2,5,3,1,6,4]=>[4,6,1,3,5,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,3,1,7,6,4,5]=>[2,7,6,3,1,4,5]=>[5,4,1,3,6,7,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[2,3,1,7,6,5,4]=>[7,6,5,2,3,1,4]=>[4,1,3,2,5,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[2,3,4,1,5,6,7]=>[2,3,4,1,5,6,7]=>[7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]
[2,3,4,1,5,7,6]=>[7,2,3,4,1,5,6]=>[6,5,1,4,3,2,7]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[2,3,4,1,6,5,7]=>[6,2,3,4,1,5,7]=>[7,5,1,4,3,2,6]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[2,3,4,1,6,7,5]=>[6,2,3,4,1,7,5]=>[5,7,1,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,3,4,1,7,5,6]=>[2,7,3,4,1,5,6]=>[6,5,1,4,3,7,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[2,3,4,1,7,6,5]=>[7,6,2,3,4,1,5]=>[5,1,4,3,2,6,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[2,3,4,5,1,6,7]=>[2,3,4,5,1,6,7]=>[7,6,1,5,4,3,2]=>[[[.,[[[[.,.],.],.],.]],.],.]
[2,3,4,5,1,7,6]=>[7,2,3,4,5,1,6]=>[6,1,5,4,3,2,7]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,3,4,5,6,1,7]=>[2,3,4,5,6,1,7]=>[7,1,6,5,4,3,2]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,3,4,5,6,7,1]=>[2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2]=>[.,[[[[[[.,.],.],.],.],.],.]]
[2,3,4,5,7,1,6]=>[2,3,4,5,1,7,6]=>[6,7,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,3,4,5,7,6,1]=>[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[2,3,4,6,1,5,7]=>[2,3,4,1,6,5,7]=>[7,5,6,1,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[2,3,4,6,1,7,5]=>[6,2,3,4,7,1,5]=>[5,1,7,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,3,4,6,5,1,7]=>[6,2,3,4,5,1,7]=>[7,1,5,4,3,2,6]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[2,3,4,6,5,7,1]=>[6,2,3,4,5,7,1]=>[1,7,5,4,3,2,6]=>[.,[[[[[.,.],.],.],[.,.]],.]]
[2,3,4,6,7,1,5]=>[2,3,4,1,6,7,5]=>[5,7,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,3,4,6,7,5,1]=>[6,2,3,4,7,5,1]=>[1,5,7,4,3,2,6]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[2,3,4,7,1,5,6]=>[2,3,4,1,5,7,6]=>[6,7,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[2,3,4,7,1,6,5]=>[7,2,3,4,1,6,5]=>[5,6,1,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[2,3,4,7,5,1,6]=>[2,7,3,4,5,1,6]=>[6,1,5,4,3,7,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,3,4,7,5,6,1]=>[2,7,3,4,5,6,1]=>[1,6,5,4,3,7,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[2,3,4,7,6,1,5]=>[2,7,3,4,1,6,5]=>[5,6,1,4,3,7,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[2,3,4,7,6,5,1]=>[7,6,2,3,4,5,1]=>[1,5,4,3,2,6,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[2,3,5,1,4,6,7]=>[2,3,1,5,4,6,7]=>[7,6,4,5,1,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[2,3,5,1,4,7,6]=>[7,2,3,1,5,4,6]=>[6,4,5,1,3,2,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[2,3,5,1,6,4,7]=>[5,2,3,6,1,4,7]=>[7,4,1,6,3,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[2,3,5,1,6,7,4]=>[5,2,3,6,1,7,4]=>[4,7,1,6,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,3,5,1,7,4,6]=>[5,2,3,1,7,4,6]=>[6,4,7,1,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[2,3,5,1,7,6,4]=>[7,5,2,3,6,1,4]=>[4,1,6,3,2,5,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,3,5,4,1,6,7]=>[5,2,3,4,1,6,7]=>[7,6,1,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[2,3,5,4,1,7,6]=>[7,5,2,3,4,1,6]=>[6,1,4,3,2,5,7]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[2,3,5,4,6,1,7]=>[5,2,3,4,6,1,7]=>[7,1,6,4,3,2,5]=>[[.,[[[[.,.],.],[.,.]],.]],.]
[2,3,5,4,6,7,1]=>[5,2,3,4,6,7,1]=>[1,7,6,4,3,2,5]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[2,3,5,4,7,1,6]=>[5,2,3,4,1,7,6]=>[6,7,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[2,3,5,4,7,6,1]=>[7,5,2,3,4,6,1]=>[1,6,4,3,2,5,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,3,5,6,1,4,7]=>[2,3,1,5,6,4,7]=>[7,4,6,5,1,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[2,3,5,6,1,7,4]=>[5,2,3,6,7,1,4]=>[4,1,7,6,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,3,5,6,4,1,7]=>[5,2,3,6,4,1,7]=>[7,1,4,6,3,2,5]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[2,3,5,6,4,7,1]=>[5,2,3,6,4,7,1]=>[1,7,4,6,3,2,5]=>[.,[[[[.,.],.],[[.,.],.]],.]]
[2,3,5,6,7,1,4]=>[2,3,1,5,6,7,4]=>[4,7,6,5,1,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,3,5,6,7,4,1]=>[5,2,3,6,7,4,1]=>[1,4,7,6,3,2,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[2,3,5,7,1,4,6]=>[2,3,1,5,4,7,6]=>[6,7,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[2,3,5,7,1,6,4]=>[5,2,3,7,1,6,4]=>[4,6,1,7,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,3,5,7,4,1,6]=>[5,2,3,4,7,1,6]=>[6,1,7,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[2,3,5,7,4,6,1]=>[5,2,3,4,7,6,1]=>[1,6,7,4,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,3,5,7,6,1,4]=>[2,7,3,1,5,6,4]=>[4,6,5,1,3,7,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,3,5,7,6,4,1]=>[7,5,2,3,6,4,1]=>[1,4,6,3,2,5,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,3,6,1,4,5,7]=>[2,3,1,4,6,5,7]=>[7,5,6,4,1,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[2,3,6,1,4,7,5]=>[6,2,3,1,7,4,5]=>[5,4,7,1,3,2,6]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,3,6,1,5,4,7]=>[6,2,3,1,5,4,7]=>[7,4,5,1,3,2,6]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[2,3,6,1,5,7,4]=>[6,2,3,1,5,7,4]=>[4,7,5,1,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[2,3,6,1,7,4,5]=>[2,6,3,1,7,4,5]=>[5,4,7,1,3,6,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,3,6,1,7,5,4]=>[6,7,2,3,5,1,4]=>[4,1,5,3,2,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[2,3,6,4,1,5,7]=>[2,6,3,4,1,5,7]=>[7,5,1,4,3,6,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[2,3,6,4,1,7,5]=>[6,7,2,3,4,1,5]=>[5,1,4,3,2,7,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,3,6,4,5,1,7]=>[2,6,3,4,5,1,7]=>[7,1,5,4,3,6,2]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[2,3,6,4,5,7,1]=>[2,6,3,4,5,7,1]=>[1,7,5,4,3,6,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]
[2,3,6,4,7,1,5]=>[2,6,3,4,1,7,5]=>[5,7,1,4,3,6,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,3,6,4,7,5,1]=>[6,7,2,3,4,5,1]=>[1,5,4,3,2,7,6]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[2,3,6,5,1,4,7]=>[2,6,3,1,5,4,7]=>[7,4,5,1,3,6,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[2,3,6,5,1,7,4]=>[6,5,2,3,7,1,4]=>[4,1,7,3,2,5,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[2,3,6,5,4,1,7]=>[6,5,2,3,4,1,7]=>[7,1,4,3,2,5,6]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[2,3,6,5,4,7,1]=>[6,5,2,3,4,7,1]=>[1,7,4,3,2,5,6]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[2,3,6,5,7,1,4]=>[2,6,3,1,5,7,4]=>[4,7,5,1,3,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[2,3,6,5,7,4,1]=>[6,5,2,3,7,4,1]=>[1,4,7,3,2,5,6]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[2,3,6,7,1,4,5]=>[2,3,1,4,6,7,5]=>[5,7,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,3,6,7,1,5,4]=>[6,2,3,1,7,5,4]=>[4,5,7,1,3,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[2,3,6,7,4,1,5]=>[2,6,3,4,7,1,5]=>[5,1,7,4,3,6,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,3,6,7,4,5,1]=>[2,6,3,4,7,5,1]=>[1,5,7,4,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[2,3,6,7,5,1,4]=>[2,6,3,1,7,5,4]=>[4,5,7,1,3,6,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[2,3,6,7,5,4,1]=>[6,7,2,3,5,4,1]=>[1,4,5,3,2,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[2,3,7,1,4,5,6]=>[2,3,1,4,5,7,6]=>[6,7,5,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[2,3,7,1,4,6,5]=>[7,2,3,1,4,6,5]=>[5,6,4,1,3,2,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[2,3,7,1,5,4,6]=>[2,7,3,1,5,4,6]=>[6,4,5,1,3,7,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[2,3,7,1,5,6,4]=>[5,2,3,1,7,6,4]=>[4,6,7,1,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,3,7,1,6,4,5]=>[2,7,3,1,4,6,5]=>[5,6,4,1,3,7,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[2,3,7,1,6,5,4]=>[7,6,2,3,1,5,4]=>[4,5,1,3,2,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[2,3,7,4,1,5,6]=>[2,3,7,4,1,5,6]=>[6,5,1,4,7,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[2,3,7,4,1,6,5]=>[7,2,6,3,4,1,5]=>[5,1,4,3,6,2,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[2,3,7,4,5,1,6]=>[2,3,7,4,5,1,6]=>[6,1,5,4,7,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,3,7,4,5,6,1]=>[2,3,7,4,5,6,1]=>[1,6,5,4,7,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[2,3,7,4,6,1,5]=>[2,3,7,4,1,6,5]=>[5,6,1,4,7,3,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[2,3,7,4,6,5,1]=>[7,2,6,3,4,5,1]=>[1,5,4,3,6,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[2,3,7,5,1,4,6]=>[2,3,7,1,5,4,6]=>[6,4,5,1,7,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[2,3,7,5,1,6,4]=>[7,2,5,3,6,1,4]=>[4,1,6,3,5,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,3,7,5,4,1,6]=>[5,7,2,3,4,1,6]=>[6,1,4,3,2,7,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[2,3,7,5,4,6,1]=>[5,7,2,3,4,6,1]=>[1,6,4,3,2,7,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,3,7,5,6,1,4]=>[2,3,7,1,5,6,4]=>[4,6,5,1,7,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,3,7,5,6,4,1]=>[7,2,5,3,6,4,1]=>[1,4,6,3,5,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,3,7,6,1,4,5]=>[2,3,7,1,4,6,5]=>[5,6,4,1,7,3,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[2,3,7,6,1,5,4]=>[7,2,6,3,1,5,4]=>[4,5,1,3,6,2,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[2,3,7,6,4,1,5]=>[2,7,6,3,4,1,5]=>[5,1,4,3,6,7,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[2,3,7,6,4,5,1]=>[2,7,6,3,4,5,1]=>[1,5,4,3,6,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[2,3,7,6,5,1,4]=>[2,7,6,3,1,5,4]=>[4,5,1,3,6,7,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[2,3,7,6,5,4,1]=>[7,6,5,2,3,4,1]=>[1,4,3,2,5,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,4,1,3,5,6,7]=>[2,1,4,3,5,6,7]=>[7,6,5,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[2,4,1,3,5,7,6]=>[7,2,1,4,3,5,6]=>[6,5,3,4,1,2,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[2,4,1,3,6,5,7]=>[6,2,1,4,3,5,7]=>[7,5,3,4,1,2,6]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[2,4,1,3,6,7,5]=>[6,2,1,4,3,7,5]=>[5,7,3,4,1,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,4,1,3,7,5,6]=>[2,7,1,4,3,5,6]=>[6,5,3,4,1,7,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[2,4,1,3,7,6,5]=>[7,6,2,1,4,3,5]=>[5,3,4,1,2,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,4,1,5,3,6,7]=>[4,2,5,1,3,6,7]=>[7,6,3,1,5,2,4]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[2,4,1,5,3,7,6]=>[7,4,2,5,1,3,6]=>[6,3,1,5,2,4,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,4,1,5,6,3,7]=>[4,2,5,1,6,3,7]=>[7,3,6,1,5,2,4]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[2,4,1,5,6,7,3]=>[4,2,5,1,6,7,3]=>[3,7,6,1,5,2,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,1,5,7,3,6]=>[4,2,5,1,3,7,6]=>[6,7,3,1,5,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,4,1,5,7,6,3]=>[7,4,2,5,1,6,3]=>[3,6,1,5,2,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,4,1,6,3,5,7]=>[4,2,1,6,3,5,7]=>[7,5,3,6,1,2,4]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[2,4,1,6,3,7,5]=>[6,4,2,7,1,3,5]=>[5,3,1,7,2,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,4,1,6,5,3,7]=>[6,4,2,5,1,3,7]=>[7,3,1,5,2,4,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,4,1,6,5,7,3]=>[6,4,2,5,1,7,3]=>[3,7,1,5,2,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[2,4,1,6,7,3,5]=>[4,2,1,6,3,7,5]=>[5,7,3,6,1,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,4,1,6,7,5,3]=>[6,4,2,7,1,5,3]=>[3,5,1,7,2,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,4,1,7,3,5,6]=>[4,2,1,3,7,5,6]=>[6,5,7,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[2,4,1,7,3,6,5]=>[7,4,2,1,6,3,5]=>[5,3,6,1,2,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,4,1,7,5,3,6]=>[4,7,2,5,1,3,6]=>[6,3,1,5,2,7,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,4,1,7,5,6,3]=>[7,2,4,5,1,6,3]=>[3,6,1,5,4,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,4,1,7,6,3,5]=>[4,7,2,1,6,3,5]=>[5,3,6,1,2,7,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,4,1,7,6,5,3]=>[7,6,4,2,5,1,3]=>[3,1,5,2,4,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,4,3,1,5,6,7]=>[4,2,3,1,5,6,7]=>[7,6,5,1,3,2,4]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[2,4,3,1,5,7,6]=>[7,4,2,3,1,5,6]=>[6,5,1,3,2,4,7]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[2,4,3,1,6,5,7]=>[6,4,2,3,1,5,7]=>[7,5,1,3,2,4,6]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[2,4,3,1,6,7,5]=>[6,4,2,3,1,7,5]=>[5,7,1,3,2,4,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[2,4,3,1,7,5,6]=>[4,7,2,3,1,5,6]=>[6,5,1,3,2,7,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[2,4,3,1,7,6,5]=>[7,6,4,2,3,1,5]=>[5,1,3,2,4,6,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,4,3,5,1,6,7]=>[4,2,3,5,1,6,7]=>[7,6,1,5,3,2,4]=>[[[.,[[[.,.],[.,.]],.]],.],.]
[2,4,3,5,1,7,6]=>[7,4,2,3,5,1,6]=>[6,1,5,3,2,4,7]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[2,4,3,5,6,1,7]=>[4,2,3,5,6,1,7]=>[7,1,6,5,3,2,4]=>[[.,[[[[.,.],[.,.]],.],.]],.]
[2,4,3,5,6,7,1]=>[4,2,3,5,6,7,1]=>[1,7,6,5,3,2,4]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[2,4,3,5,7,1,6]=>[4,2,3,5,1,7,6]=>[6,7,1,5,3,2,4]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[2,4,3,5,7,6,1]=>[7,4,2,3,5,6,1]=>[1,6,5,3,2,4,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,4,3,6,1,5,7]=>[4,2,3,1,6,5,7]=>[7,5,6,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[2,4,3,6,1,7,5]=>[6,4,2,3,7,1,5]=>[5,1,7,3,2,4,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[2,4,3,6,5,1,7]=>[6,4,2,3,5,1,7]=>[7,1,5,3,2,4,6]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[2,4,3,6,5,7,1]=>[6,4,2,3,5,7,1]=>[1,7,5,3,2,4,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,4,3,6,7,1,5]=>[4,2,3,1,6,7,5]=>[5,7,6,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[2,4,3,6,7,5,1]=>[6,4,2,3,7,5,1]=>[1,5,7,3,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,4,3,7,1,5,6]=>[4,2,3,1,5,7,6]=>[6,7,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[2,4,3,7,1,6,5]=>[7,4,2,3,1,6,5]=>[5,6,1,3,2,4,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,4,3,7,5,1,6]=>[4,7,2,3,5,1,6]=>[6,1,5,3,2,7,4]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[2,4,3,7,5,6,1]=>[4,7,2,3,5,6,1]=>[1,6,5,3,2,7,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,4,3,7,6,1,5]=>[4,7,2,3,1,6,5]=>[5,6,1,3,2,7,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,4,3,7,6,5,1]=>[7,6,4,2,3,5,1]=>[1,5,3,2,4,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,4,5,1,3,6,7]=>[2,1,4,5,3,6,7]=>[7,6,3,5,4,1,2]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[2,4,5,1,3,7,6]=>[7,2,1,4,5,3,6]=>[6,3,5,4,1,2,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,4,5,1,6,3,7]=>[4,2,5,6,1,3,7]=>[7,3,1,6,5,2,4]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[2,4,5,1,6,7,3]=>[4,2,5,6,1,7,3]=>[3,7,1,6,5,2,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,5,1,7,3,6]=>[4,2,5,1,7,3,6]=>[6,3,7,1,5,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,4,5,1,7,6,3]=>[7,4,2,5,6,1,3]=>[3,1,6,5,2,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,4,5,3,1,6,7]=>[4,2,5,3,1,6,7]=>[7,6,1,3,5,2,4]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[2,4,5,3,1,7,6]=>[7,4,2,5,3,1,6]=>[6,1,3,5,2,4,7]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[2,4,5,3,6,1,7]=>[4,2,5,3,6,1,7]=>[7,1,6,3,5,2,4]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[2,4,5,3,6,7,1]=>[4,2,5,3,6,7,1]=>[1,7,6,3,5,2,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[2,4,5,3,7,1,6]=>[4,2,5,3,1,7,6]=>[6,7,1,3,5,2,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[2,4,5,3,7,6,1]=>[7,4,2,5,3,6,1]=>[1,6,3,5,2,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,4,5,6,1,3,7]=>[2,1,4,5,6,3,7]=>[7,3,6,5,4,1,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[2,4,5,6,1,7,3]=>[4,2,5,6,7,1,3]=>[3,1,7,6,5,2,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,5,6,3,1,7]=>[4,2,5,6,3,1,7]=>[7,1,3,6,5,2,4]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[2,4,5,6,3,7,1]=>[4,2,5,6,3,7,1]=>[1,7,3,6,5,2,4]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[2,4,5,6,7,1,3]=>[2,1,4,5,6,7,3]=>[3,7,6,5,4,1,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[2,4,5,6,7,3,1]=>[4,2,5,6,7,3,1]=>[1,3,7,6,5,2,4]=>[.,[[.,.],[[[[.,.],.],.],.]]]
[2,4,5,7,1,3,6]=>[2,1,4,5,3,7,6]=>[6,7,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,4,5,7,1,6,3]=>[4,2,5,7,1,6,3]=>[3,6,1,7,5,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,4,5,7,3,1,6]=>[4,2,5,3,7,1,6]=>[6,1,7,3,5,2,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[2,4,5,7,3,6,1]=>[4,2,5,3,7,6,1]=>[1,6,7,3,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,4,5,7,6,1,3]=>[2,7,1,4,5,6,3]=>[3,6,5,4,1,7,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,4,5,7,6,3,1]=>[7,4,2,5,6,3,1]=>[1,3,6,5,2,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[2,4,6,1,3,5,7]=>[2,1,4,3,6,5,7]=>[7,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[2,4,6,1,3,7,5]=>[6,2,1,4,7,3,5]=>[5,3,7,4,1,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,4,6,1,5,3,7]=>[4,2,6,1,5,3,7]=>[7,3,5,1,6,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,4,6,1,5,7,3]=>[4,2,6,1,5,7,3]=>[3,7,5,1,6,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[2,4,6,1,7,3,5]=>[4,2,1,6,7,3,5]=>[5,3,7,6,1,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,4,6,1,7,5,3]=>[6,4,2,7,5,1,3]=>[3,1,5,7,2,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,4,6,3,1,5,7]=>[4,2,3,6,1,5,7]=>[7,5,1,6,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[2,4,6,3,1,7,5]=>[6,4,2,7,3,1,5]=>[5,1,3,7,2,4,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[2,4,6,3,5,1,7]=>[4,2,3,6,5,1,7]=>[7,1,5,6,3,2,4]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[2,4,6,3,5,7,1]=>[4,2,3,6,5,7,1]=>[1,7,5,6,3,2,4]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,4,6,3,7,1,5]=>[4,2,3,6,1,7,5]=>[5,7,1,6,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[2,4,6,3,7,5,1]=>[6,4,2,7,3,5,1]=>[1,5,3,7,2,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,4,6,5,1,3,7]=>[2,6,1,4,5,3,7]=>[7,3,5,4,1,6,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,4,6,5,1,7,3]=>[6,4,2,5,7,1,3]=>[3,1,7,5,2,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[2,4,6,5,3,1,7]=>[6,4,2,5,3,1,7]=>[7,1,3,5,2,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,6,5,3,7,1]=>[6,4,2,5,3,7,1]=>[1,7,3,5,2,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[2,4,6,5,7,1,3]=>[2,6,1,4,5,7,3]=>[3,7,5,4,1,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[2,4,6,5,7,3,1]=>[6,4,2,5,7,3,1]=>[1,3,7,5,2,4,6]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[2,4,6,7,1,3,5]=>[2,1,4,3,6,7,5]=>[5,7,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,4,6,7,1,5,3]=>[4,2,6,1,7,5,3]=>[3,5,7,1,6,2,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,4,6,7,3,1,5]=>[4,2,3,6,7,1,5]=>[5,1,7,6,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[2,4,6,7,3,5,1]=>[4,2,3,6,7,5,1]=>[1,5,7,6,3,2,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,4,6,7,5,1,3]=>[2,6,1,4,7,5,3]=>[3,5,7,4,1,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,4,6,7,5,3,1]=>[6,4,2,7,5,3,1]=>[1,3,5,7,2,4,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[2,4,7,1,3,5,6]=>[2,1,4,3,5,7,6]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[2,4,7,1,3,6,5]=>[7,2,1,4,3,6,5]=>[5,6,3,4,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,4,7,1,5,3,6]=>[4,2,1,7,5,3,6]=>[6,3,5,7,1,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,4,7,1,5,6,3]=>[4,2,5,1,7,6,3]=>[3,6,7,1,5,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,4,7,1,6,3,5]=>[4,2,1,7,3,6,5]=>[5,6,3,7,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,4,7,1,6,5,3]=>[7,4,2,6,1,5,3]=>[3,5,1,6,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,4,7,3,1,5,6]=>[4,2,3,1,7,5,6]=>[6,5,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[2,4,7,3,1,6,5]=>[7,4,2,3,6,1,5]=>[5,1,6,3,2,4,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,4,7,3,5,1,6]=>[4,2,3,5,7,1,6]=>[6,1,7,5,3,2,4]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[2,4,7,3,5,6,1]=>[4,2,3,5,7,6,1]=>[1,6,7,5,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,4,7,3,6,1,5]=>[4,2,3,1,7,6,5]=>[5,6,7,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,4,7,3,6,5,1]=>[7,4,2,3,6,5,1]=>[1,5,6,3,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,4,7,5,1,3,6]=>[2,1,7,4,5,3,6]=>[6,3,5,4,7,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,4,7,5,1,6,3]=>[7,2,4,5,6,1,3]=>[3,1,6,5,4,2,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,4,7,5,3,1,6]=>[4,7,2,5,3,1,6]=>[6,1,3,5,2,7,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[2,4,7,5,3,6,1]=>[4,7,2,5,3,6,1]=>[1,6,3,5,2,7,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,4,7,5,6,1,3]=>[2,1,7,4,5,6,3]=>[3,6,5,4,7,1,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,4,7,5,6,3,1]=>[7,2,4,5,6,3,1]=>[1,3,6,5,4,2,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[2,4,7,6,1,3,5]=>[2,1,7,4,3,6,5]=>[5,6,3,4,7,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,4,7,6,1,5,3]=>[7,2,4,6,1,5,3]=>[3,5,1,6,4,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,4,7,6,3,1,5]=>[4,7,2,3,6,1,5]=>[5,1,6,3,2,7,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,4,7,6,3,5,1]=>[4,7,2,3,6,5,1]=>[1,5,6,3,2,7,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,4,7,6,5,1,3]=>[2,7,6,1,4,5,3]=>[3,5,4,1,6,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,4,7,6,5,3,1]=>[7,6,4,2,5,3,1]=>[1,3,5,2,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,5,1,3,4,6,7]=>[2,1,3,5,4,6,7]=>[7,6,4,5,3,1,2]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[2,5,1,3,4,7,6]=>[7,2,1,3,5,4,6]=>[6,4,5,3,1,2,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,5,1,3,6,4,7]=>[5,2,1,6,3,4,7]=>[7,4,3,6,1,2,5]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[2,5,1,3,6,7,4]=>[5,2,1,6,3,7,4]=>[4,7,3,6,1,2,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,5,1,3,7,4,6]=>[5,2,1,3,7,4,6]=>[6,4,7,3,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,5,1,3,7,6,4]=>[7,5,2,1,6,3,4]=>[4,3,6,1,2,5,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,5,1,4,3,6,7]=>[5,2,1,4,3,6,7]=>[7,6,3,4,1,2,5]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[2,5,1,4,3,7,6]=>[7,5,2,1,4,3,6]=>[6,3,4,1,2,5,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,5,1,4,6,3,7]=>[5,2,1,4,6,3,7]=>[7,3,6,4,1,2,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[2,5,1,4,6,7,3]=>[5,2,1,4,6,7,3]=>[3,7,6,4,1,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[2,5,1,4,7,3,6]=>[5,2,1,4,3,7,6]=>[6,7,3,4,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,5,1,4,7,6,3]=>[7,5,2,1,4,6,3]=>[3,6,4,1,2,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,5,1,6,3,4,7]=>[2,5,1,6,3,4,7]=>[7,4,3,6,1,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[2,5,1,6,3,7,4]=>[5,6,2,7,1,3,4]=>[4,3,1,7,2,6,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,5,1,6,4,3,7]=>[5,6,2,4,1,3,7]=>[7,3,1,4,2,6,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[2,5,1,6,4,7,3]=>[5,6,2,4,1,7,3]=>[3,7,1,4,2,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[2,5,1,6,7,3,4]=>[2,5,1,6,3,7,4]=>[4,7,3,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,5,1,6,7,4,3]=>[5,6,2,7,1,4,3]=>[3,4,1,7,2,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[2,5,1,7,3,4,6]=>[2,5,1,3,7,4,6]=>[6,4,7,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,5,1,7,3,6,4]=>[5,7,2,1,6,3,4]=>[4,3,6,1,2,7,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,5,1,7,4,3,6]=>[5,2,7,4,1,3,6]=>[6,3,1,4,7,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,5,1,7,4,6,3]=>[5,7,2,1,4,6,3]=>[3,6,4,1,2,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,5,1,7,6,3,4]=>[2,7,5,1,6,3,4]=>[4,3,6,1,5,7,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,5,1,7,6,4,3]=>[7,5,6,2,4,1,3]=>[3,1,4,2,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,5,3,1,4,6,7]=>[2,5,3,1,4,6,7]=>[7,6,4,1,3,5,2]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[2,5,3,1,4,7,6]=>[7,2,5,3,1,4,6]=>[6,4,1,3,5,2,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[2,5,3,1,6,4,7]=>[5,6,2,3,1,4,7]=>[7,4,1,3,2,6,5]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[2,5,3,1,6,7,4]=>[5,6,2,3,1,7,4]=>[4,7,1,3,2,6,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,3,1,7,4,6]=>[5,2,7,3,1,4,6]=>[6,4,1,3,7,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[2,5,3,1,7,6,4]=>[7,5,6,2,3,1,4]=>[4,1,3,2,6,5,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,5,3,4,1,6,7]=>[2,5,3,4,1,6,7]=>[7,6,1,4,3,5,2]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[2,5,3,4,1,7,6]=>[7,2,5,3,4,1,6]=>[6,1,4,3,5,2,7]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[2,5,3,4,6,1,7]=>[2,5,3,4,6,1,7]=>[7,1,6,4,3,5,2]=>[[.,[[[[.,.],.],[.,.]],.]],.]
[2,5,3,4,6,7,1]=>[2,5,3,4,6,7,1]=>[1,7,6,4,3,5,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[2,5,3,4,7,1,6]=>[2,5,3,4,1,7,6]=>[6,7,1,4,3,5,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[2,5,3,4,7,6,1]=>[7,2,5,3,4,6,1]=>[1,6,4,3,5,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,5,3,6,1,4,7]=>[2,5,3,1,6,4,7]=>[7,4,6,1,3,5,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[2,5,3,6,1,7,4]=>[5,6,2,3,7,1,4]=>[4,1,7,3,2,6,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,3,6,4,1,7]=>[5,6,2,3,4,1,7]=>[7,1,4,3,2,6,5]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[2,5,3,6,4,7,1]=>[5,6,2,3,4,7,1]=>[1,7,4,3,2,6,5]=>[.,[[[[.,.],.],[[.,.],.]],.]]
[2,5,3,6,7,1,4]=>[2,5,3,1,6,7,4]=>[4,7,6,1,3,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,3,6,7,4,1]=>[5,6,2,3,7,4,1]=>[1,4,7,3,2,6,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[2,5,3,7,1,4,6]=>[2,5,3,1,4,7,6]=>[6,7,4,1,3,5,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[2,5,3,7,1,6,4]=>[5,7,2,3,1,6,4]=>[4,6,1,3,2,7,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,5,3,7,4,1,6]=>[5,2,7,3,4,1,6]=>[6,1,4,3,7,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[2,5,3,7,4,6,1]=>[5,2,7,3,4,6,1]=>[1,6,4,3,7,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,5,3,7,6,1,4]=>[2,7,5,3,1,6,4]=>[4,6,1,3,5,7,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,5,3,7,6,4,1]=>[7,5,6,2,3,4,1]=>[1,4,3,2,6,5,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,5,4,1,3,6,7]=>[2,5,1,4,3,6,7]=>[7,6,3,4,1,5,2]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[2,5,4,1,3,7,6]=>[7,2,5,1,4,3,6]=>[6,3,4,1,5,2,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,5,4,1,6,3,7]=>[5,4,2,6,1,3,7]=>[7,3,1,6,2,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[2,5,4,1,6,7,3]=>[5,4,2,6,1,7,3]=>[3,7,1,6,2,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[2,5,4,1,7,3,6]=>[5,4,2,1,7,3,6]=>[6,3,7,1,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,5,4,1,7,6,3]=>[7,5,4,2,6,1,3]=>[3,1,6,2,4,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,5,4,3,1,6,7]=>[5,4,2,3,1,6,7]=>[7,6,1,3,2,4,5]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[2,5,4,3,1,7,6]=>[7,5,4,2,3,1,6]=>[6,1,3,2,4,5,7]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[2,5,4,3,6,1,7]=>[5,4,2,3,6,1,7]=>[7,1,6,3,2,4,5]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[2,5,4,3,6,7,1]=>[5,4,2,3,6,7,1]=>[1,7,6,3,2,4,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[2,5,4,3,7,1,6]=>[5,4,2,3,1,7,6]=>[6,7,1,3,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[2,5,4,3,7,6,1]=>[7,5,4,2,3,6,1]=>[1,6,3,2,4,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,5,4,6,1,3,7]=>[2,5,1,4,6,3,7]=>[7,3,6,4,1,5,2]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[2,5,4,6,1,7,3]=>[5,4,2,6,7,1,3]=>[3,1,7,6,2,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[2,5,4,6,3,1,7]=>[5,4,2,6,3,1,7]=>[7,1,3,6,2,4,5]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[2,5,4,6,3,7,1]=>[5,4,2,6,3,7,1]=>[1,7,3,6,2,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[2,5,4,6,7,1,3]=>[2,5,1,4,6,7,3]=>[3,7,6,4,1,5,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[2,5,4,6,7,3,1]=>[5,4,2,6,7,3,1]=>[1,3,7,6,2,4,5]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[2,5,4,7,1,3,6]=>[2,5,1,4,3,7,6]=>[6,7,3,4,1,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,5,4,7,1,6,3]=>[5,4,2,7,1,6,3]=>[3,6,1,7,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,5,4,7,3,1,6]=>[5,4,2,3,7,1,6]=>[6,1,7,3,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[2,5,4,7,3,6,1]=>[5,4,2,3,7,6,1]=>[1,6,7,3,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,5,4,7,6,1,3]=>[2,7,5,1,4,6,3]=>[3,6,4,1,5,7,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,5,4,7,6,3,1]=>[7,5,4,2,6,3,1]=>[1,3,6,2,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[2,5,6,1,3,4,7]=>[2,1,3,5,6,4,7]=>[7,4,6,5,3,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[2,5,6,1,3,7,4]=>[5,2,1,6,7,3,4]=>[4,3,7,6,1,2,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,5,6,1,4,3,7]=>[5,2,1,6,4,3,7]=>[7,3,4,6,1,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[2,5,6,1,4,7,3]=>[5,2,1,6,4,7,3]=>[3,7,4,6,1,2,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[2,5,6,1,7,3,4]=>[2,5,1,6,7,3,4]=>[4,3,7,6,1,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,5,6,1,7,4,3]=>[5,6,2,7,4,1,3]=>[3,1,4,7,2,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[2,5,6,3,1,4,7]=>[2,5,3,6,1,4,7]=>[7,4,1,6,3,5,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[2,5,6,3,1,7,4]=>[5,6,2,7,3,1,4]=>[4,1,3,7,2,6,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,6,3,4,1,7]=>[2,5,3,6,4,1,7]=>[7,1,4,6,3,5,2]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[2,5,6,3,4,7,1]=>[2,5,3,6,4,7,1]=>[1,7,4,6,3,5,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]
[2,5,6,3,7,1,4]=>[2,5,3,6,1,7,4]=>[4,7,1,6,3,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,6,3,7,4,1]=>[5,6,2,7,3,4,1]=>[1,4,3,7,2,6,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[2,5,6,4,1,3,7]=>[2,5,1,6,4,3,7]=>[7,3,4,6,1,5,2]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[2,5,6,4,1,7,3]=>[5,6,2,4,7,1,3]=>[3,1,7,4,2,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[2,5,6,4,3,1,7]=>[5,6,2,4,3,1,7]=>[7,1,3,4,2,6,5]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[2,5,6,4,3,7,1]=>[5,6,2,4,3,7,1]=>[1,7,3,4,2,6,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[2,5,6,4,7,1,3]=>[2,5,1,6,4,7,3]=>[3,7,4,6,1,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[2,5,6,4,7,3,1]=>[5,6,2,4,7,3,1]=>[1,3,7,4,2,6,5]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[2,5,6,7,1,3,4]=>[2,1,3,5,6,7,4]=>[4,7,6,5,3,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,5,6,7,1,4,3]=>[5,2,1,6,7,4,3]=>[3,4,7,6,1,2,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[2,5,6,7,3,1,4]=>[2,5,3,6,7,1,4]=>[4,1,7,6,3,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[2,5,6,7,3,4,1]=>[2,5,3,6,7,4,1]=>[1,4,7,6,3,5,2]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[2,5,6,7,4,1,3]=>[2,5,1,6,7,4,3]=>[3,4,7,6,1,5,2]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[2,5,6,7,4,3,1]=>[5,6,2,7,4,3,1]=>[1,3,4,7,2,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[2,5,7,1,3,4,6]=>[2,1,3,5,4,7,6]=>[6,7,4,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,5,7,1,3,6,4]=>[5,2,1,7,3,6,4]=>[4,6,3,7,1,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,5,7,1,4,3,6]=>[5,2,1,4,7,3,6]=>[6,3,7,4,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,5,7,1,4,6,3]=>[5,2,1,4,7,6,3]=>[3,6,7,4,1,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,5,7,1,6,3,4]=>[2,5,1,7,3,6,4]=>[4,6,3,7,1,5,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,5,7,1,6,4,3]=>[5,7,2,6,1,4,3]=>[3,4,1,6,2,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,5,7,3,1,4,6]=>[2,5,3,1,7,4,6]=>[6,4,7,1,3,5,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[2,5,7,3,1,6,4]=>[5,7,2,3,6,1,4]=>[4,1,6,3,2,7,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,5,7,3,4,1,6]=>[2,5,3,4,7,1,6]=>[6,1,7,4,3,5,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[2,5,7,3,4,6,1]=>[2,5,3,4,7,6,1]=>[1,6,7,4,3,5,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,5,7,3,6,1,4]=>[2,5,3,1,7,6,4]=>[4,6,7,1,3,5,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,5,7,3,6,4,1]=>[5,7,2,3,6,4,1]=>[1,4,6,3,2,7,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,5,7,4,1,3,6]=>[2,5,1,4,7,3,6]=>[6,3,7,4,1,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,5,7,4,1,6,3]=>[5,4,2,7,6,1,3]=>[3,1,6,7,2,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,5,7,4,3,1,6]=>[5,2,7,4,3,1,6]=>[6,1,3,4,7,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[2,5,7,4,3,6,1]=>[5,2,7,4,3,6,1]=>[1,6,3,4,7,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,5,7,4,6,1,3]=>[2,5,1,4,7,6,3]=>[3,6,7,4,1,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,5,7,4,6,3,1]=>[5,4,2,7,6,3,1]=>[1,3,6,7,2,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[2,5,7,6,1,3,4]=>[2,1,7,3,5,6,4]=>[4,6,5,3,7,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,5,7,6,1,4,3]=>[7,2,5,1,6,4,3]=>[3,4,6,1,5,2,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,5,7,6,3,1,4]=>[2,7,5,3,6,1,4]=>[4,1,6,3,5,7,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,5,7,6,3,4,1]=>[2,7,5,3,6,4,1]=>[1,4,6,3,5,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,5,7,6,4,1,3]=>[2,7,5,1,6,4,3]=>[3,4,6,1,5,7,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,5,7,6,4,3,1]=>[7,5,6,2,4,3,1]=>[1,3,4,2,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,6,1,3,4,5,7]=>[2,1,3,4,6,5,7]=>[7,5,6,4,3,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[2,6,1,3,4,7,5]=>[6,2,1,3,7,4,5]=>[5,4,7,3,1,2,6]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,6,1,3,5,4,7]=>[6,2,1,3,5,4,7]=>[7,4,5,3,1,2,6]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[2,6,1,3,5,7,4]=>[6,2,1,3,5,7,4]=>[4,7,5,3,1,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[2,6,1,3,7,4,5]=>[2,6,1,3,7,4,5]=>[5,4,7,3,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,6,1,3,7,5,4]=>[6,7,2,1,5,3,4]=>[4,3,5,1,2,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[2,6,1,4,3,5,7]=>[2,6,1,4,3,5,7]=>[7,5,3,4,1,6,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[2,6,1,4,3,7,5]=>[6,7,2,1,4,3,5]=>[5,3,4,1,2,7,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,6,1,4,5,3,7]=>[4,2,1,6,5,3,7]=>[7,3,5,6,1,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,6,1,4,5,7,3]=>[4,2,1,6,5,7,3]=>[3,7,5,6,1,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[2,6,1,4,7,3,5]=>[2,6,1,4,3,7,5]=>[5,7,3,4,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,6,1,4,7,5,3]=>[6,7,2,1,4,5,3]=>[3,5,4,1,2,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,6,1,5,3,4,7]=>[2,6,1,3,5,4,7]=>[7,4,5,3,1,6,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[2,6,1,5,3,7,4]=>[6,5,2,1,7,3,4]=>[4,3,7,1,2,5,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[2,6,1,5,4,3,7]=>[6,5,2,1,4,3,7]=>[7,3,4,1,2,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,6,1,5,4,7,3]=>[6,5,2,1,4,7,3]=>[3,7,4,1,2,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[2,6,1,5,7,3,4]=>[2,6,1,3,5,7,4]=>[4,7,5,3,1,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[2,6,1,5,7,4,3]=>[6,5,2,1,7,4,3]=>[3,4,7,1,2,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[2,6,1,7,3,4,5]=>[2,1,6,3,7,4,5]=>[5,4,7,3,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,6,1,7,3,5,4]=>[6,2,7,1,5,3,4]=>[4,3,5,1,7,2,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[2,6,1,7,4,3,5]=>[2,6,7,4,1,3,5]=>[5,3,1,4,7,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,6,1,7,4,5,3]=>[6,2,7,1,4,5,3]=>[3,5,4,1,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,6,1,7,5,3,4]=>[2,6,7,1,5,3,4]=>[4,3,5,1,7,6,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[2,6,1,7,5,4,3]=>[6,7,5,2,4,1,3]=>[3,1,4,2,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[2,6,3,1,4,5,7]=>[2,3,6,1,4,5,7]=>[7,5,4,1,6,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[2,6,3,1,4,7,5]=>[6,2,7,3,1,4,5]=>[5,4,1,3,7,2,6]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,6,3,1,5,4,7]=>[6,2,5,3,1,4,7]=>[7,4,1,3,5,2,6]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[2,6,3,1,5,7,4]=>[6,2,5,3,1,7,4]=>[4,7,1,3,5,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[2,6,3,1,7,4,5]=>[2,6,7,3,1,4,5]=>[5,4,1,3,7,6,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,6,3,1,7,5,4]=>[6,7,5,2,3,1,4]=>[4,1,3,2,5,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[2,6,3,4,1,5,7]=>[2,3,6,4,1,5,7]=>[7,5,1,4,6,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[2,6,3,4,1,7,5]=>[6,2,7,3,4,1,5]=>[5,1,4,3,7,2,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,6,3,4,5,1,7]=>[2,3,6,4,5,1,7]=>[7,1,5,4,6,3,2]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[2,6,3,4,5,7,1]=>[2,3,6,4,5,7,1]=>[1,7,5,4,6,3,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]
[2,6,3,4,7,1,5]=>[2,3,6,4,1,7,5]=>[5,7,1,4,6,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,6,3,4,7,5,1]=>[6,2,7,3,4,5,1]=>[1,5,4,3,7,2,6]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[2,6,3,5,1,4,7]=>[2,3,6,1,5,4,7]=>[7,4,5,1,6,3,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[2,6,3,5,1,7,4]=>[6,2,5,3,7,1,4]=>[4,1,7,3,5,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[2,6,3,5,4,1,7]=>[6,2,5,3,4,1,7]=>[7,1,4,3,5,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[2,6,3,5,4,7,1]=>[6,2,5,3,4,7,1]=>[1,7,4,3,5,2,6]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[2,6,3,5,7,1,4]=>[2,3,6,1,5,7,4]=>[4,7,5,1,6,3,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[2,6,3,5,7,4,1]=>[6,2,5,3,7,4,1]=>[1,4,7,3,5,2,6]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[2,6,3,7,1,4,5]=>[2,3,6,1,4,7,5]=>[5,7,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,6,3,7,1,5,4]=>[6,2,7,3,1,5,4]=>[4,5,1,3,7,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[2,6,3,7,4,1,5]=>[2,6,7,3,4,1,5]=>[5,1,4,3,7,6,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,6,3,7,4,5,1]=>[2,6,7,3,4,5,1]=>[1,5,4,3,7,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[2,6,3,7,5,1,4]=>[2,6,7,3,1,5,4]=>[4,5,1,3,7,6,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[2,6,3,7,5,4,1]=>[6,7,5,2,3,4,1]=>[1,4,3,2,5,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[2,6,4,1,3,5,7]=>[2,1,6,4,3,5,7]=>[7,5,3,4,6,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[2,6,4,1,3,7,5]=>[6,2,7,1,4,3,5]=>[5,3,4,1,7,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,6,4,1,5,3,7]=>[6,2,4,5,1,3,7]=>[7,3,1,5,4,2,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,6,4,1,5,7,3]=>[6,2,4,5,1,7,3]=>[3,7,1,5,4,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[2,6,4,1,7,3,5]=>[4,6,2,1,7,3,5]=>[5,3,7,1,2,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,6,4,1,7,5,3]=>[6,7,4,2,5,1,3]=>[3,1,5,2,4,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,6,4,3,1,5,7]=>[4,6,2,3,1,5,7]=>[7,5,1,3,2,6,4]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[2,6,4,3,1,7,5]=>[6,7,4,2,3,1,5]=>[5,1,3,2,4,7,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[2,6,4,3,5,1,7]=>[4,6,2,3,5,1,7]=>[7,1,5,3,2,6,4]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[2,6,4,3,5,7,1]=>[4,6,2,3,5,7,1]=>[1,7,5,3,2,6,4]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[2,6,4,3,7,1,5]=>[4,6,2,3,1,7,5]=>[5,7,1,3,2,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[2,6,4,3,7,5,1]=>[6,7,4,2,3,5,1]=>[1,5,3,2,4,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,6,4,5,1,3,7]=>[2,1,6,4,5,3,7]=>[7,3,5,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,6,4,5,1,7,3]=>[6,2,4,5,7,1,3]=>[3,1,7,5,4,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[2,6,4,5,3,1,7]=>[6,2,4,5,3,1,7]=>[7,1,3,5,4,2,6]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,6,4,5,3,7,1]=>[6,2,4,5,3,7,1]=>[1,7,3,5,4,2,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[2,6,4,5,7,1,3]=>[2,1,6,4,5,7,3]=>[3,7,5,4,6,1,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[2,6,4,5,7,3,1]=>[6,2,4,5,7,3,1]=>[1,3,7,5,4,2,6]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[2,6,4,7,1,3,5]=>[2,1,6,4,3,7,5]=>[5,7,3,4,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,6,4,7,1,5,3]=>[6,2,4,7,1,5,3]=>[3,5,1,7,4,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,6,4,7,3,1,5]=>[4,6,2,3,7,1,5]=>[5,1,7,3,2,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[2,6,4,7,3,5,1]=>[4,6,2,3,7,5,1]=>[1,5,7,3,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,6,4,7,5,1,3]=>[2,6,7,1,4,5,3]=>[3,5,4,1,7,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,6,4,7,5,3,1]=>[6,7,4,2,5,3,1]=>[1,3,5,2,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[2,6,5,1,3,4,7]=>[2,1,6,3,5,4,7]=>[7,4,5,3,6,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[2,6,5,1,3,7,4]=>[6,2,5,1,7,3,4]=>[4,3,7,1,5,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[2,6,5,1,4,3,7]=>[6,2,5,1,4,3,7]=>[7,3,4,1,5,2,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,6,5,1,4,7,3]=>[6,2,5,1,4,7,3]=>[3,7,4,1,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[2,6,5,1,7,3,4]=>[2,6,5,1,7,3,4]=>[4,3,7,1,5,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[2,6,5,1,7,4,3]=>[6,5,7,2,4,1,3]=>[3,1,4,2,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[2,6,5,3,1,4,7]=>[2,6,5,3,1,4,7]=>[7,4,1,3,5,6,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[2,6,5,3,1,7,4]=>[6,5,7,2,3,1,4]=>[4,1,3,2,7,5,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[2,6,5,3,4,1,7]=>[2,6,5,3,4,1,7]=>[7,1,4,3,5,6,2]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[2,6,5,3,4,7,1]=>[2,6,5,3,4,7,1]=>[1,7,4,3,5,6,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[2,6,5,3,7,1,4]=>[2,6,5,3,1,7,4]=>[4,7,1,3,5,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[2,6,5,3,7,4,1]=>[6,5,7,2,3,4,1]=>[1,4,3,2,7,5,6]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[2,6,5,4,1,3,7]=>[2,6,5,1,4,3,7]=>[7,3,4,1,5,6,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,6,5,4,1,7,3]=>[6,5,4,2,7,1,3]=>[3,1,7,2,4,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[2,6,5,4,3,1,7]=>[6,5,4,2,3,1,7]=>[7,1,3,2,4,5,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,6,5,4,3,7,1]=>[6,5,4,2,3,7,1]=>[1,7,3,2,4,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[2,6,5,4,7,1,3]=>[2,6,5,1,4,7,3]=>[3,7,4,1,5,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[2,6,5,4,7,3,1]=>[6,5,4,2,7,3,1]=>[1,3,7,2,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[2,6,5,7,1,3,4]=>[2,1,6,3,5,7,4]=>[4,7,5,3,6,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[2,6,5,7,1,4,3]=>[6,2,5,1,7,4,3]=>[3,4,7,1,5,2,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[2,6,5,7,3,1,4]=>[2,6,5,3,7,1,4]=>[4,1,7,3,5,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[2,6,5,7,3,4,1]=>[2,6,5,3,7,4,1]=>[1,4,7,3,5,6,2]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[2,6,5,7,4,1,3]=>[2,6,5,1,7,4,3]=>[3,4,7,1,5,6,2]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[2,6,5,7,4,3,1]=>[6,5,7,2,4,3,1]=>[1,3,4,2,7,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[2,6,7,1,3,4,5]=>[2,1,3,4,6,7,5]=>[5,7,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,6,7,1,3,5,4]=>[6,2,1,3,7,5,4]=>[4,5,7,3,1,2,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[2,6,7,1,4,3,5]=>[2,6,1,4,7,3,5]=>[5,3,7,4,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,6,7,1,4,5,3]=>[4,2,1,6,7,5,3]=>[3,5,7,6,1,2,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,6,7,1,5,3,4]=>[2,6,1,3,7,5,4]=>[4,5,7,3,1,6,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[2,6,7,1,5,4,3]=>[6,7,2,1,5,4,3]=>[3,4,5,1,2,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[2,6,7,3,1,4,5]=>[2,3,6,1,7,4,5]=>[5,4,7,1,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[2,6,7,3,1,5,4]=>[6,2,7,3,5,1,4]=>[4,1,5,3,7,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[2,6,7,3,4,1,5]=>[2,3,6,4,7,1,5]=>[5,1,7,4,6,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,6,7,3,4,5,1]=>[2,3,6,4,7,5,1]=>[1,5,7,4,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[2,6,7,3,5,1,4]=>[2,3,6,1,7,5,4]=>[4,5,7,1,6,3,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[2,6,7,3,5,4,1]=>[6,2,7,3,5,4,1]=>[1,4,5,3,7,2,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[2,6,7,4,1,3,5]=>[2,1,6,4,7,3,5]=>[5,3,7,4,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,6,7,4,1,5,3]=>[6,2,4,7,5,1,3]=>[3,1,5,7,4,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,6,7,4,3,1,5]=>[2,6,7,4,3,1,5]=>[5,1,3,4,7,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[2,6,7,4,3,5,1]=>[2,6,7,4,3,5,1]=>[1,5,3,4,7,6,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[2,6,7,4,5,1,3]=>[2,1,6,4,7,5,3]=>[3,5,7,4,6,1,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,6,7,4,5,3,1]=>[6,2,4,7,5,3,1]=>[1,3,5,7,4,2,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[2,6,7,5,1,3,4]=>[2,1,6,3,7,5,4]=>[4,5,7,3,6,1,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[2,6,7,5,1,4,3]=>[6,2,7,1,5,4,3]=>[3,4,5,1,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[2,6,7,5,3,1,4]=>[2,6,7,3,5,1,4]=>[4,1,5,3,7,6,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[2,6,7,5,3,4,1]=>[2,6,7,3,5,4,1]=>[1,4,5,3,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[2,6,7,5,4,1,3]=>[2,6,7,1,5,4,3]=>[3,4,5,1,7,6,2]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[2,6,7,5,4,3,1]=>[6,7,5,2,4,3,1]=>[1,3,4,2,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[2,7,1,3,4,5,6]=>[2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,7,1,3,4,6,5]=>[7,2,1,3,4,6,5]=>[5,6,4,3,1,2,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,7,1,3,5,4,6]=>[2,7,1,3,5,4,6]=>[6,4,5,3,1,7,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,7,1,3,5,6,4]=>[5,2,1,3,7,6,4]=>[4,6,7,3,1,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,7,1,3,6,4,5]=>[2,7,1,3,4,6,5]=>[5,6,4,3,1,7,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,7,1,3,6,5,4]=>[7,6,2,1,3,5,4]=>[4,5,3,1,2,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,7,1,4,3,5,6]=>[2,1,7,4,3,5,6]=>[6,5,3,4,7,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[2,7,1,4,3,6,5]=>[7,2,6,1,4,3,5]=>[5,3,4,1,6,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,7,1,4,5,3,6]=>[4,2,1,5,7,3,6]=>[6,3,7,5,1,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,7,1,4,5,6,3]=>[4,2,1,5,7,6,3]=>[3,6,7,5,1,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,7,1,4,6,3,5]=>[4,2,1,3,7,6,5]=>[5,6,7,3,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,7,1,4,6,5,3]=>[7,4,2,1,6,5,3]=>[3,5,6,1,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,7,1,5,3,4,6]=>[2,1,7,3,5,4,6]=>[6,4,5,3,7,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,7,1,5,3,6,4]=>[7,2,5,1,6,3,4]=>[4,3,6,1,5,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,7,1,5,4,3,6]=>[5,7,2,1,4,3,6]=>[6,3,4,1,2,7,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,7,1,5,4,6,3]=>[7,2,5,1,4,6,3]=>[3,6,4,1,5,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,7,1,5,6,3,4]=>[2,5,1,3,7,6,4]=>[4,6,7,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,7,1,5,6,4,3]=>[5,7,2,1,6,4,3]=>[3,4,6,1,2,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,7,1,6,3,4,5]=>[2,1,7,3,4,6,5]=>[5,6,4,3,7,1,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,7,1,6,3,5,4]=>[7,2,6,1,3,5,4]=>[4,5,3,1,6,2,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,7,1,6,4,3,5]=>[2,7,6,1,4,3,5]=>[5,3,4,1,6,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,7,1,6,4,5,3]=>[7,2,4,1,6,5,3]=>[3,5,6,1,4,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,7,1,6,5,3,4]=>[2,7,6,1,3,5,4]=>[4,5,3,1,6,7,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,7,1,6,5,4,3]=>[7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,7,3,1,4,5,6]=>[2,3,1,7,4,5,6]=>[6,5,4,7,1,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[2,7,3,1,4,6,5]=>[7,2,3,6,1,4,5]=>[5,4,1,6,3,2,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[2,7,3,1,5,4,6]=>[2,7,5,3,1,4,6]=>[6,4,1,3,5,7,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[2,7,3,1,5,6,4]=>[7,2,3,5,1,6,4]=>[4,6,1,5,3,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,7,3,1,6,4,5]=>[2,7,3,6,1,4,5]=>[5,4,1,6,3,7,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[2,7,3,1,6,5,4]=>[7,6,2,5,3,1,4]=>[4,1,3,5,2,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[2,7,3,4,1,5,6]=>[2,3,4,7,1,5,6]=>[6,5,1,7,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[2,7,3,4,1,6,5]=>[7,2,3,6,4,1,5]=>[5,1,4,6,3,2,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[2,7,3,4,5,1,6]=>[2,3,4,7,5,1,6]=>[6,1,5,7,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[2,7,3,4,5,6,1]=>[2,3,4,7,5,6,1]=>[1,6,5,7,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[2,7,3,4,6,1,5]=>[2,3,4,7,1,6,5]=>[5,6,1,7,4,3,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[2,7,3,4,6,5,1]=>[7,2,3,6,4,5,1]=>[1,5,4,6,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[2,7,3,5,1,4,6]=>[2,3,1,7,5,4,6]=>[6,4,5,7,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[2,7,3,5,1,6,4]=>[7,2,3,5,6,1,4]=>[4,1,6,5,3,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,7,3,5,4,1,6]=>[2,7,5,3,4,1,6]=>[6,1,4,3,5,7,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[2,7,3,5,4,6,1]=>[2,7,5,3,4,6,1]=>[1,6,4,3,5,7,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,7,3,5,6,1,4]=>[2,3,1,7,5,6,4]=>[4,6,5,7,1,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,7,3,5,6,4,1]=>[7,2,3,5,6,4,1]=>[1,4,6,5,3,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,7,3,6,1,4,5]=>[2,3,1,7,4,6,5]=>[5,6,4,7,1,3,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[2,7,3,6,1,5,4]=>[7,2,3,6,1,5,4]=>[4,5,1,6,3,2,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[2,7,3,6,4,1,5]=>[2,7,3,6,4,1,5]=>[5,1,4,6,3,7,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[2,7,3,6,4,5,1]=>[2,7,3,6,4,5,1]=>[1,5,4,6,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[2,7,3,6,5,1,4]=>[2,7,3,6,1,5,4]=>[4,5,1,6,3,7,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[2,7,3,6,5,4,1]=>[7,6,2,5,3,4,1]=>[1,4,3,5,2,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,7,4,1,3,5,6]=>[2,1,4,7,3,5,6]=>[6,5,3,7,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[2,7,4,1,3,6,5]=>[7,2,1,6,4,3,5]=>[5,3,4,6,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,7,4,1,5,3,6]=>[2,7,4,5,1,3,6]=>[6,3,1,5,4,7,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,7,4,1,5,6,3]=>[4,2,7,5,1,6,3]=>[3,6,1,5,7,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,7,4,1,6,3,5]=>[2,7,4,1,6,3,5]=>[5,3,6,1,4,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,7,4,1,6,5,3]=>[7,6,2,4,5,1,3]=>[3,1,5,4,2,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,7,4,3,1,5,6]=>[4,2,7,3,1,5,6]=>[6,5,1,3,7,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[2,7,4,3,1,6,5]=>[7,4,6,2,3,1,5]=>[5,1,3,2,6,4,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,7,4,3,5,1,6]=>[4,2,7,3,5,1,6]=>[6,1,5,3,7,2,4]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[2,7,4,3,5,6,1]=>[4,2,7,3,5,6,1]=>[1,6,5,3,7,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,7,4,3,6,1,5]=>[4,2,7,3,1,6,5]=>[5,6,1,3,7,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,7,4,3,6,5,1]=>[7,4,6,2,3,5,1]=>[1,5,3,2,6,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,7,4,5,1,3,6]=>[2,1,4,7,5,3,6]=>[6,3,5,7,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,7,4,5,1,6,3]=>[4,2,7,5,6,1,3]=>[3,1,6,5,7,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,7,4,5,3,1,6]=>[2,7,4,5,3,1,6]=>[6,1,3,5,4,7,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[2,7,4,5,3,6,1]=>[2,7,4,5,3,6,1]=>[1,6,3,5,4,7,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,7,4,5,6,1,3]=>[2,1,4,7,5,6,3]=>[3,6,5,7,4,1,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,7,4,5,6,3,1]=>[4,2,7,5,6,3,1]=>[1,3,6,5,7,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[2,7,4,6,1,3,5]=>[2,1,4,7,3,6,5]=>[5,6,3,7,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,7,4,6,1,5,3]=>[4,2,7,6,1,5,3]=>[3,5,1,6,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,7,4,6,3,1,5]=>[2,7,4,3,6,1,5]=>[5,1,6,3,4,7,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,7,4,6,3,5,1]=>[2,7,4,3,6,5,1]=>[1,5,6,3,4,7,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,7,4,6,5,1,3]=>[2,7,1,6,4,5,3]=>[3,5,4,6,1,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,7,4,6,5,3,1]=>[7,6,2,4,5,3,1]=>[1,3,5,4,2,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,7,5,1,3,4,6]=>[2,1,3,7,5,4,6]=>[6,4,5,7,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,7,5,1,3,6,4]=>[7,2,1,5,6,3,4]=>[4,3,6,5,1,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,7,5,1,4,3,6]=>[2,7,5,1,4,3,6]=>[6,3,4,1,5,7,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,7,5,1,4,6,3]=>[7,2,1,5,4,6,3]=>[3,6,4,5,1,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,7,5,1,6,3,4]=>[2,7,1,5,6,3,4]=>[4,3,6,5,1,7,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,7,5,1,6,4,3]=>[7,5,2,6,4,1,3]=>[3,1,4,6,2,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,7,5,3,1,4,6]=>[2,5,7,3,1,4,6]=>[6,4,1,3,7,5,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[2,7,5,3,1,6,4]=>[5,7,6,2,3,1,4]=>[4,1,3,2,6,7,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,7,5,3,4,1,6]=>[2,5,7,3,4,1,6]=>[6,1,4,3,7,5,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[2,7,5,3,4,6,1]=>[2,5,7,3,4,6,1]=>[1,6,4,3,7,5,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,7,5,3,6,1,4]=>[2,5,7,3,1,6,4]=>[4,6,1,3,7,5,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,7,5,3,6,4,1]=>[5,7,6,2,3,4,1]=>[1,4,3,2,6,7,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,7,5,4,1,3,6]=>[2,5,7,1,4,3,6]=>[6,3,4,1,7,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,7,5,4,1,6,3]=>[5,7,4,2,6,1,3]=>[3,1,6,2,4,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,7,5,4,3,1,6]=>[5,7,4,2,3,1,6]=>[6,1,3,2,4,7,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[2,7,5,4,3,6,1]=>[5,7,4,2,3,6,1]=>[1,6,3,2,4,7,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,7,5,4,6,1,3]=>[2,5,7,1,4,6,3]=>[3,6,4,1,7,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,7,5,4,6,3,1]=>[5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[2,7,5,6,1,3,4]=>[2,1,3,7,5,6,4]=>[4,6,5,7,3,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,7,5,6,1,4,3]=>[7,2,1,5,6,4,3]=>[3,4,6,5,1,2,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,7,5,6,3,1,4]=>[2,7,3,5,6,1,4]=>[4,1,6,5,3,7,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,7,5,6,3,4,1]=>[2,7,3,5,6,4,1]=>[1,4,6,5,3,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,7,5,6,4,1,3]=>[2,7,1,5,6,4,3]=>[3,4,6,5,1,7,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,7,5,6,4,3,1]=>[7,5,2,6,4,3,1]=>[1,3,4,6,2,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,7,6,1,3,4,5]=>[2,1,3,7,4,6,5]=>[5,6,4,7,3,1,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,7,6,1,3,5,4]=>[7,2,1,6,3,5,4]=>[4,5,3,6,1,2,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,7,6,1,4,3,5]=>[2,7,1,6,4,3,5]=>[5,3,4,6,1,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,7,6,1,4,5,3]=>[7,2,1,4,6,5,3]=>[3,5,6,4,1,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,7,6,1,5,3,4]=>[2,7,1,6,3,5,4]=>[4,5,3,6,1,7,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,7,6,1,5,4,3]=>[7,6,2,5,1,4,3]=>[3,4,1,5,2,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,7,6,3,1,4,5]=>[2,3,7,6,1,4,5]=>[5,4,1,6,7,3,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[2,7,6,3,1,5,4]=>[7,2,6,5,3,1,4]=>[4,1,3,5,6,2,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[2,7,6,3,4,1,5]=>[2,3,7,6,4,1,5]=>[5,1,4,6,7,3,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[2,7,6,3,4,5,1]=>[2,3,7,6,4,5,1]=>[1,5,4,6,7,3,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[2,7,6,3,5,1,4]=>[2,3,7,6,1,5,4]=>[4,5,1,6,7,3,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[2,7,6,3,5,4,1]=>[7,2,6,5,3,4,1]=>[1,4,3,5,6,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,7,6,4,1,3,5]=>[2,1,7,6,4,3,5]=>[5,3,4,6,7,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,7,6,4,1,5,3]=>[7,2,6,4,5,1,3]=>[3,1,5,4,6,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,7,6,4,3,1,5]=>[4,7,6,2,3,1,5]=>[5,1,3,2,6,7,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,7,6,4,3,5,1]=>[4,7,6,2,3,5,1]=>[1,5,3,2,6,7,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,7,6,4,5,1,3]=>[2,1,7,6,4,5,3]=>[3,5,4,6,7,1,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,7,6,4,5,3,1]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,7,6,5,1,3,4]=>[2,1,7,6,3,5,4]=>[4,5,3,6,7,1,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,7,6,5,1,4,3]=>[7,2,6,5,1,4,3]=>[3,4,1,5,6,2,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,7,6,5,3,1,4]=>[2,7,6,5,3,1,4]=>[4,1,3,5,6,7,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[2,7,6,5,3,4,1]=>[2,7,6,5,3,4,1]=>[1,4,3,5,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,7,6,5,4,1,3]=>[2,7,6,5,1,4,3]=>[3,4,1,5,6,7,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,7,6,5,4,3,1]=>[7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,1,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],.],.]
[3,1,2,4,5,7,6]=>[7,1,3,2,4,5,6]=>[6,5,4,2,3,1,7]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[3,1,2,4,6,5,7]=>[6,1,3,2,4,5,7]=>[7,5,4,2,3,1,6]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[3,1,2,4,6,7,5]=>[6,1,3,2,4,7,5]=>[5,7,4,2,3,1,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,1,2,4,7,5,6]=>[1,7,3,2,4,5,6]=>[6,5,4,2,3,7,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[3,1,2,4,7,6,5]=>[7,6,1,3,2,4,5]=>[5,4,2,3,1,6,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[3,1,2,5,4,6,7]=>[5,1,3,2,4,6,7]=>[7,6,4,2,3,1,5]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[3,1,2,5,4,7,6]=>[7,5,1,3,2,4,6]=>[6,4,2,3,1,5,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,1,2,5,6,4,7]=>[5,1,3,2,6,4,7]=>[7,4,6,2,3,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[3,1,2,5,6,7,4]=>[5,1,3,2,6,7,4]=>[4,7,6,2,3,1,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,1,2,5,7,4,6]=>[5,1,3,2,4,7,6]=>[6,7,4,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,1,2,5,7,6,4]=>[7,5,1,3,2,6,4]=>[4,6,2,3,1,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,1,2,6,4,5,7]=>[1,6,3,2,4,5,7]=>[7,5,4,2,3,6,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[3,1,2,6,4,7,5]=>[6,7,1,3,2,4,5]=>[5,4,2,3,1,7,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,1,2,6,5,4,7]=>[6,5,1,3,2,4,7]=>[7,4,2,3,1,5,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[3,1,2,6,5,7,4]=>[6,5,1,3,2,7,4]=>[4,7,2,3,1,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,1,2,6,7,4,5]=>[1,6,3,2,4,7,5]=>[5,7,4,2,3,6,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,1,2,6,7,5,4]=>[6,7,1,3,2,5,4]=>[4,5,2,3,1,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,1,2,7,4,5,6]=>[1,3,7,2,4,5,6]=>[6,5,4,2,7,3,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[3,1,2,7,4,6,5]=>[7,1,6,3,2,4,5]=>[5,4,2,3,6,1,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[3,1,2,7,5,4,6]=>[5,7,1,3,2,4,6]=>[6,4,2,3,1,7,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,1,2,7,5,6,4]=>[7,1,5,3,2,6,4]=>[4,6,2,3,5,1,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,1,2,7,6,4,5]=>[1,7,6,3,2,4,5]=>[5,4,2,3,6,7,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[3,1,2,7,6,5,4]=>[7,6,5,1,3,2,4]=>[4,2,3,1,5,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,1,4,2,5,6,7]=>[3,4,1,2,5,6,7]=>[7,6,5,2,1,4,3]=>[[[[[.,.],[[.,.],.]],.],.],.]
[3,1,4,2,5,7,6]=>[7,3,4,1,2,5,6]=>[6,5,2,1,4,3,7]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,1,4,2,6,5,7]=>[6,3,4,1,2,5,7]=>[7,5,2,1,4,3,6]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[3,1,4,2,6,7,5]=>[6,3,4,1,2,7,5]=>[5,7,2,1,4,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,1,4,2,7,5,6]=>[3,7,4,1,2,5,6]=>[6,5,2,1,4,7,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,1,4,2,7,6,5]=>[7,6,3,4,1,2,5]=>[5,2,1,4,3,6,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,1,4,5,2,6,7]=>[3,4,1,5,2,6,7]=>[7,6,2,5,1,4,3]=>[[[[.,.],[[[.,.],.],.]],.],.]
[3,1,4,5,2,7,6]=>[7,3,4,1,5,2,6]=>[6,2,5,1,4,3,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,1,4,5,6,2,7]=>[3,4,1,5,6,2,7]=>[7,2,6,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,1,4,5,6,7,2]=>[3,4,1,5,6,7,2]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,5,7,2,6]=>[3,4,1,5,2,7,6]=>[6,7,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,1,4,5,7,6,2]=>[7,3,4,1,5,6,2]=>[2,6,5,1,4,3,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[3,1,4,6,2,5,7]=>[3,4,1,2,6,5,7]=>[7,5,6,2,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[3,1,4,6,2,7,5]=>[6,3,4,1,7,2,5]=>[5,2,7,1,4,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,1,4,6,5,2,7]=>[6,3,4,1,5,2,7]=>[7,2,5,1,4,3,6]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,1,4,6,5,7,2]=>[6,3,4,1,5,7,2]=>[2,7,5,1,4,3,6]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[3,1,4,6,7,2,5]=>[3,4,1,2,6,7,5]=>[5,7,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,1,4,6,7,5,2]=>[6,3,4,1,7,5,2]=>[2,5,7,1,4,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,1,4,7,2,5,6]=>[3,4,1,2,5,7,6]=>[6,7,5,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,1,4,7,2,6,5]=>[7,3,4,1,2,6,5]=>[5,6,2,1,4,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,1,4,7,5,2,6]=>[3,7,4,1,5,2,6]=>[6,2,5,1,4,7,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,1,4,7,5,6,2]=>[3,7,4,1,5,6,2]=>[2,6,5,1,4,7,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[3,1,4,7,6,2,5]=>[3,7,4,1,2,6,5]=>[5,6,2,1,4,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,1,4,7,6,5,2]=>[7,6,3,4,1,5,2]=>[2,5,1,4,3,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,1,5,2,4,6,7]=>[3,1,5,2,4,6,7]=>[7,6,4,2,5,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[3,1,5,2,4,7,6]=>[7,3,1,5,2,4,6]=>[6,4,2,5,1,3,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,1,5,2,6,4,7]=>[5,3,6,1,2,4,7]=>[7,4,2,1,6,3,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[3,1,5,2,6,7,4]=>[5,3,6,1,2,7,4]=>[4,7,2,1,6,3,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,1,5,2,7,4,6]=>[5,3,1,7,2,4,6]=>[6,4,2,7,1,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,1,5,2,7,6,4]=>[7,5,3,6,1,2,4]=>[4,2,1,6,3,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,1,5,4,2,6,7]=>[5,3,4,1,2,6,7]=>[7,6,2,1,4,3,5]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[3,1,5,4,2,7,6]=>[7,5,3,4,1,2,6]=>[6,2,1,4,3,5,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,1,5,4,6,2,7]=>[5,3,4,1,6,2,7]=>[7,2,6,1,4,3,5]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,1,5,4,6,7,2]=>[5,3,4,1,6,7,2]=>[2,7,6,1,4,3,5]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[3,1,5,4,7,2,6]=>[5,3,4,1,2,7,6]=>[6,7,2,1,4,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,1,5,4,7,6,2]=>[7,5,3,4,1,6,2]=>[2,6,1,4,3,5,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,1,5,6,2,4,7]=>[3,1,5,2,6,4,7]=>[7,4,6,2,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[3,1,5,6,2,7,4]=>[5,3,6,1,7,2,4]=>[4,2,7,1,6,3,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,1,5,6,4,2,7]=>[5,3,6,1,4,2,7]=>[7,2,4,1,6,3,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,1,5,6,4,7,2]=>[5,3,6,1,4,7,2]=>[2,7,4,1,6,3,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[3,1,5,6,7,2,4]=>[3,1,5,2,6,7,4]=>[4,7,6,2,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,1,5,6,7,4,2]=>[5,3,6,1,7,4,2]=>[2,4,7,1,6,3,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[3,1,5,7,2,4,6]=>[3,1,5,2,4,7,6]=>[6,7,4,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,1,5,7,2,6,4]=>[5,3,7,1,2,6,4]=>[4,6,2,1,7,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,1,5,7,4,2,6]=>[5,3,1,7,4,2,6]=>[6,2,4,7,1,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,1,5,7,4,6,2]=>[5,3,4,1,7,6,2]=>[2,6,7,1,4,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,1,5,7,6,2,4]=>[3,7,1,5,2,6,4]=>[4,6,2,5,1,7,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,1,5,7,6,4,2]=>[7,5,3,6,1,4,2]=>[2,4,1,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,1,6,2,4,5,7]=>[3,1,2,6,4,5,7]=>[7,5,4,6,2,1,3]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[3,1,6,2,4,7,5]=>[6,3,1,7,2,4,5]=>[5,4,2,7,1,3,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,1,6,2,5,4,7]=>[6,3,1,5,2,4,7]=>[7,4,2,5,1,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[3,1,6,2,5,7,4]=>[6,3,1,5,2,7,4]=>[4,7,2,5,1,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,1,6,2,7,4,5]=>[3,6,1,7,2,4,5]=>[5,4,2,7,1,6,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,1,6,2,7,5,4]=>[6,7,3,5,1,2,4]=>[4,2,1,5,3,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,1,6,4,2,5,7]=>[3,6,4,1,2,5,7]=>[7,5,2,1,4,6,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[3,1,6,4,2,7,5]=>[6,7,3,4,1,2,5]=>[5,2,1,4,3,7,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,1,6,4,5,2,7]=>[3,6,4,1,5,2,7]=>[7,2,5,1,4,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,1,6,4,5,7,2]=>[3,6,4,1,5,7,2]=>[2,7,5,1,4,6,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[3,1,6,4,7,2,5]=>[3,6,4,1,2,7,5]=>[5,7,2,1,4,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,1,6,4,7,5,2]=>[6,7,3,4,1,5,2]=>[2,5,1,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,1,6,5,2,4,7]=>[3,6,1,5,2,4,7]=>[7,4,2,5,1,6,3]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[3,1,6,5,2,7,4]=>[6,5,3,7,1,2,4]=>[4,2,1,7,3,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,1,6,5,4,2,7]=>[6,5,3,4,1,2,7]=>[7,2,1,4,3,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,1,6,5,4,7,2]=>[6,5,3,4,1,7,2]=>[2,7,1,4,3,5,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[3,1,6,5,7,2,4]=>[3,6,1,5,2,7,4]=>[4,7,2,5,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,1,6,5,7,4,2]=>[6,5,3,7,1,4,2]=>[2,4,1,7,3,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[3,1,6,7,2,4,5]=>[3,1,2,6,4,7,5]=>[5,7,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,1,6,7,2,5,4]=>[6,3,1,7,2,5,4]=>[4,5,2,7,1,3,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,1,6,7,4,2,5]=>[3,6,1,7,4,2,5]=>[5,2,4,7,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,1,6,7,4,5,2]=>[3,6,4,1,7,5,2]=>[2,5,7,1,4,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,1,6,7,5,2,4]=>[3,6,1,7,2,5,4]=>[4,5,2,7,1,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,1,6,7,5,4,2]=>[6,7,3,5,1,4,2]=>[2,4,1,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,1,7,2,4,5,6]=>[3,1,2,4,7,5,6]=>[6,5,7,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[3,1,7,2,4,6,5]=>[7,3,1,2,6,4,5]=>[5,4,6,2,1,3,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[3,1,7,2,5,4,6]=>[3,7,1,5,2,4,6]=>[6,4,2,5,1,7,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,1,7,2,5,6,4]=>[7,3,1,2,5,6,4]=>[4,6,5,2,1,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,1,7,2,6,4,5]=>[3,7,1,2,6,4,5]=>[5,4,6,2,1,7,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[3,1,7,2,6,5,4]=>[7,6,3,1,5,2,4]=>[4,2,5,1,3,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,1,7,4,2,5,6]=>[3,4,7,1,2,5,6]=>[6,5,2,1,7,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,1,7,4,2,6,5]=>[7,3,6,4,1,2,5]=>[5,2,1,4,6,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,1,7,4,5,2,6]=>[3,4,7,1,5,2,6]=>[6,2,5,1,7,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,1,7,4,5,6,2]=>[3,7,1,4,5,6,2]=>[2,6,5,4,1,7,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[3,1,7,4,6,2,5]=>[3,4,7,1,2,6,5]=>[5,6,2,1,7,4,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,1,7,4,6,5,2]=>[7,3,6,4,1,5,2]=>[2,5,1,4,6,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,1,7,5,2,4,6]=>[3,1,7,5,2,4,6]=>[6,4,2,5,7,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,1,7,5,2,6,4]=>[7,3,5,6,1,2,4]=>[4,2,1,6,5,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,1,7,5,4,2,6]=>[5,7,3,4,1,2,6]=>[6,2,1,4,3,7,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,1,7,5,4,6,2]=>[5,7,3,4,1,6,2]=>[2,6,1,4,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,1,7,5,6,2,4]=>[3,1,7,5,2,6,4]=>[4,6,2,5,7,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,1,7,5,6,4,2]=>[7,3,5,6,1,4,2]=>[2,4,1,6,5,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,1,7,6,2,4,5]=>[3,1,7,2,6,4,5]=>[5,4,6,2,7,1,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[3,1,7,6,2,5,4]=>[7,3,6,1,5,2,4]=>[4,2,5,1,6,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,1,7,6,4,2,5]=>[3,7,6,4,1,2,5]=>[5,2,1,4,6,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,1,7,6,4,5,2]=>[3,7,6,4,1,5,2]=>[2,5,1,4,6,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,1,7,6,5,2,4]=>[3,7,6,1,5,2,4]=>[4,2,5,1,6,7,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,1,7,6,5,4,2]=>[7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3]=>[[[[[.,[.,[.,.]]],.],.],.],.]
[3,2,1,4,5,7,6]=>[7,3,2,1,4,5,6]=>[6,5,4,1,2,3,7]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[3,2,1,4,6,5,7]=>[6,3,2,1,4,5,7]=>[7,5,4,1,2,3,6]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[3,2,1,4,6,7,5]=>[6,3,2,1,4,7,5]=>[5,7,4,1,2,3,6]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[3,2,1,4,7,5,6]=>[3,7,2,1,4,5,6]=>[6,5,4,1,2,7,3]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[3,2,1,4,7,6,5]=>[7,6,3,2,1,4,5]=>[5,4,1,2,3,6,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[3,2,1,5,4,6,7]=>[5,3,2,1,4,6,7]=>[7,6,4,1,2,3,5]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[3,2,1,5,4,7,6]=>[7,5,3,2,1,4,6]=>[6,4,1,2,3,5,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[3,2,1,5,6,4,7]=>[5,3,2,1,6,4,7]=>[7,4,6,1,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,2,1,5,6,7,4]=>[5,3,2,1,6,7,4]=>[4,7,6,1,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[3,2,1,5,7,4,6]=>[5,3,2,1,4,7,6]=>[6,7,4,1,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[3,2,1,5,7,6,4]=>[7,5,3,2,1,6,4]=>[4,6,1,2,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,2,1,6,4,5,7]=>[3,6,2,1,4,5,7]=>[7,5,4,1,2,6,3]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[3,2,1,6,4,7,5]=>[6,7,3,2,1,4,5]=>[5,4,1,2,3,7,6]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[3,2,1,6,5,4,7]=>[6,5,3,2,1,4,7]=>[7,4,1,2,3,5,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,2,1,6,5,7,4]=>[6,5,3,2,1,7,4]=>[4,7,1,2,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[3,2,1,6,7,4,5]=>[3,6,2,1,4,7,5]=>[5,7,4,1,2,6,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[3,2,1,6,7,5,4]=>[6,7,3,2,1,5,4]=>[4,5,1,2,3,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,2,1,7,4,5,6]=>[3,2,7,1,4,5,6]=>[6,5,4,1,7,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[3,2,1,7,4,6,5]=>[7,3,6,2,1,4,5]=>[5,4,1,2,6,3,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[3,2,1,7,5,4,6]=>[5,7,3,2,1,4,6]=>[6,4,1,2,3,7,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[3,2,1,7,5,6,4]=>[7,3,5,2,1,6,4]=>[4,6,1,2,5,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,2,1,7,6,4,5]=>[3,7,6,2,1,4,5]=>[5,4,1,2,6,7,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[3,2,1,7,6,5,4]=>[7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,4,1,5,6,7]=>[3,2,4,1,5,6,7]=>[7,6,5,1,4,2,3]=>[[[[.,[[.,[.,.]],.]],.],.],.]
[3,2,4,1,5,7,6]=>[7,3,2,4,1,5,6]=>[6,5,1,4,2,3,7]=>[[[.,[[.,[.,.]],.]],.],[.,.]]
[3,2,4,1,6,5,7]=>[6,3,2,4,1,5,7]=>[7,5,1,4,2,3,6]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[3,2,4,1,6,7,5]=>[6,3,2,4,1,7,5]=>[5,7,1,4,2,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[3,2,4,1,7,5,6]=>[3,7,2,4,1,5,6]=>[6,5,1,4,2,7,3]=>[[[.,[[.,[.,.]],.]],.],[.,.]]
[3,2,4,1,7,6,5]=>[7,6,3,2,4,1,5]=>[5,1,4,2,3,6,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[3,2,4,5,1,6,7]=>[3,2,4,5,1,6,7]=>[7,6,1,5,4,2,3]=>[[[.,[[[.,[.,.]],.],.]],.],.]
[3,2,4,5,1,7,6]=>[7,3,2,4,5,1,6]=>[6,1,5,4,2,3,7]=>[[.,[[[.,[.,.]],.],.]],[.,.]]
[3,2,4,5,6,1,7]=>[3,2,4,5,6,1,7]=>[7,1,6,5,4,2,3]=>[[.,[[[[.,[.,.]],.],.],.]],.]
[3,2,4,5,6,7,1]=>[3,2,4,5,6,7,1]=>[1,7,6,5,4,2,3]=>[.,[[[[[.,[.,.]],.],.],.],.]]
[3,2,4,5,7,1,6]=>[3,2,4,5,1,7,6]=>[6,7,1,5,4,2,3]=>[[.,[[[.,[.,.]],.],.]],[.,.]]
[3,2,4,5,7,6,1]=>[7,3,2,4,5,6,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[3,2,4,6,1,5,7]=>[3,2,4,1,6,5,7]=>[7,5,6,1,4,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[3,2,4,6,1,7,5]=>[6,3,2,4,7,1,5]=>[5,1,7,4,2,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[3,2,4,6,5,1,7]=>[6,3,2,4,5,1,7]=>[7,1,5,4,2,3,6]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[3,2,4,6,5,7,1]=>[6,3,2,4,5,7,1]=>[1,7,5,4,2,3,6]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[3,2,4,6,7,1,5]=>[3,2,4,1,6,7,5]=>[5,7,6,1,4,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[3,2,4,6,7,5,1]=>[6,3,2,4,7,5,1]=>[1,5,7,4,2,3,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,2,4,7,1,5,6]=>[3,2,4,1,5,7,6]=>[6,7,5,1,4,2,3]=>[[[.,[[.,[.,.]],.]],.],[.,.]]
[3,2,4,7,1,6,5]=>[7,3,2,4,1,6,5]=>[5,6,1,4,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[3,2,4,7,5,1,6]=>[3,7,2,4,5,1,6]=>[6,1,5,4,2,7,3]=>[[.,[[[.,[.,.]],.],.]],[.,.]]
[3,2,4,7,5,6,1]=>[3,7,2,4,5,6,1]=>[1,6,5,4,2,7,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[3,2,4,7,6,1,5]=>[3,7,2,4,1,6,5]=>[5,6,1,4,2,7,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[3,2,4,7,6,5,1]=>[7,6,3,2,4,5,1]=>[1,5,4,2,3,6,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,2,5,1,4,6,7]=>[3,2,1,5,4,6,7]=>[7,6,4,5,1,2,3]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[3,2,5,1,4,7,6]=>[7,3,2,1,5,4,6]=>[6,4,5,1,2,3,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[3,2,5,1,6,4,7]=>[5,3,2,6,1,4,7]=>[7,4,1,6,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,2,5,1,6,7,4]=>[5,3,2,6,1,7,4]=>[4,7,1,6,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[3,2,5,1,7,4,6]=>[5,3,2,1,7,4,6]=>[6,4,7,1,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[3,2,5,1,7,6,4]=>[7,5,3,2,6,1,4]=>[4,1,6,2,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,2,5,4,1,6,7]=>[5,3,2,4,1,6,7]=>[7,6,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[3,2,5,4,1,7,6]=>[7,5,3,2,4,1,6]=>[6,1,4,2,3,5,7]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[3,2,5,4,6,1,7]=>[5,3,2,4,6,1,7]=>[7,1,6,4,2,3,5]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[3,2,5,4,6,7,1]=>[5,3,2,4,6,7,1]=>[1,7,6,4,2,3,5]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[3,2,5,4,7,1,6]=>[5,3,2,4,1,7,6]=>[6,7,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[3,2,5,4,7,6,1]=>[7,5,3,2,4,6,1]=>[1,6,4,2,3,5,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,2,5,6,1,4,7]=>[3,2,1,5,6,4,7]=>[7,4,6,5,1,2,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,2,5,6,1,7,4]=>[5,3,2,6,7,1,4]=>[4,1,7,6,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[3,2,5,6,4,1,7]=>[5,3,2,6,4,1,7]=>[7,1,4,6,2,3,5]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[3,2,5,6,4,7,1]=>[5,3,2,6,4,7,1]=>[1,7,4,6,2,3,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[3,2,5,6,7,1,4]=>[3,2,1,5,6,7,4]=>[4,7,6,5,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[3,2,5,6,7,4,1]=>[5,3,2,6,7,4,1]=>[1,4,7,6,2,3,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[3,2,5,7,1,4,6]=>[3,2,1,5,4,7,6]=>[6,7,4,5,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[3,2,5,7,1,6,4]=>[5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,2,5,7,4,1,6]=>[5,3,2,4,7,1,6]=>[6,1,7,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[3,2,5,7,4,6,1]=>[5,3,2,4,7,6,1]=>[1,6,7,4,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,2,5,7,6,1,4]=>[3,7,2,1,5,6,4]=>[4,6,5,1,2,7,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,2,5,7,6,4,1]=>[7,5,3,2,6,4,1]=>[1,4,6,2,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,2,6,1,4,5,7]=>[3,2,1,4,6,5,7]=>[7,5,6,4,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[3,2,6,1,4,7,5]=>[6,3,2,1,7,4,5]=>[5,4,7,1,2,3,6]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[3,2,6,1,5,4,7]=>[6,3,2,1,5,4,7]=>[7,4,5,1,2,3,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,2,6,1,5,7,4]=>[6,3,2,1,5,7,4]=>[4,7,5,1,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[3,2,6,1,7,4,5]=>[3,6,2,1,7,4,5]=>[5,4,7,1,2,6,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[3,2,6,1,7,5,4]=>[6,7,3,2,5,1,4]=>[4,1,5,2,3,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,2,6,4,1,5,7]=>[3,6,2,4,1,5,7]=>[7,5,1,4,2,6,3]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[3,2,6,4,1,7,5]=>[6,7,3,2,4,1,5]=>[5,1,4,2,3,7,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[3,2,6,4,5,1,7]=>[3,6,2,4,5,1,7]=>[7,1,5,4,2,6,3]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[3,2,6,4,5,7,1]=>[3,6,2,4,5,7,1]=>[1,7,5,4,2,6,3]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[3,2,6,4,7,1,5]=>[3,6,2,4,1,7,5]=>[5,7,1,4,2,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[3,2,6,4,7,5,1]=>[6,7,3,2,4,5,1]=>[1,5,4,2,3,7,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,2,6,5,1,4,7]=>[3,6,2,1,5,4,7]=>[7,4,5,1,2,6,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,2,6,5,1,7,4]=>[6,5,3,2,7,1,4]=>[4,1,7,2,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[3,2,6,5,4,1,7]=>[6,5,3,2,4,1,7]=>[7,1,4,2,3,5,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[3,2,6,5,4,7,1]=>[6,5,3,2,4,7,1]=>[1,7,4,2,3,5,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[3,2,6,5,7,1,4]=>[3,6,2,1,5,7,4]=>[4,7,5,1,2,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[3,2,6,5,7,4,1]=>[6,5,3,2,7,4,1]=>[1,4,7,2,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,2,6,7,1,4,5]=>[3,2,1,4,6,7,5]=>[5,7,6,4,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[3,2,6,7,1,5,4]=>[6,3,2,1,7,5,4]=>[4,5,7,1,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,2,6,7,4,1,5]=>[3,6,2,4,7,1,5]=>[5,1,7,4,2,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[3,2,6,7,4,5,1]=>[3,6,2,4,7,5,1]=>[1,5,7,4,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,2,6,7,5,1,4]=>[3,6,2,1,7,5,4]=>[4,5,7,1,2,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,2,6,7,5,4,1]=>[6,7,3,2,5,4,1]=>[1,4,5,2,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[3,2,7,1,4,5,6]=>[3,2,1,4,5,7,6]=>[6,7,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[3,2,7,1,4,6,5]=>[7,3,2,1,4,6,5]=>[5,6,4,1,2,3,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[3,2,7,1,5,4,6]=>[3,7,2,1,5,4,6]=>[6,4,5,1,2,7,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[3,2,7,1,5,6,4]=>[5,3,2,1,7,6,4]=>[4,6,7,1,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,2,7,1,6,4,5]=>[3,7,2,1,4,6,5]=>[5,6,4,1,2,7,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[3,2,7,1,6,5,4]=>[7,6,3,2,1,5,4]=>[4,5,1,2,3,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,7,4,1,5,6]=>[3,2,7,4,1,5,6]=>[6,5,1,4,7,2,3]=>[[[.,[[.,[.,.]],.]],.],[.,.]]
[3,2,7,4,1,6,5]=>[7,3,6,2,4,1,5]=>[5,1,4,2,6,3,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[3,2,7,4,5,1,6]=>[3,2,7,4,5,1,6]=>[6,1,5,4,7,2,3]=>[[.,[[[.,[.,.]],.],.]],[.,.]]
[3,2,7,4,5,6,1]=>[3,2,7,4,5,6,1]=>[1,6,5,4,7,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[3,2,7,4,6,1,5]=>[3,2,7,4,1,6,5]=>[5,6,1,4,7,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[3,2,7,4,6,5,1]=>[7,3,6,2,4,5,1]=>[1,5,4,2,6,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,2,7,5,1,4,6]=>[3,2,7,1,5,4,6]=>[6,4,5,1,7,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[3,2,7,5,1,6,4]=>[7,3,5,2,6,1,4]=>[4,1,6,2,5,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,2,7,5,4,1,6]=>[5,7,3,2,4,1,6]=>[6,1,4,2,3,7,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[3,2,7,5,4,6,1]=>[5,7,3,2,4,6,1]=>[1,6,4,2,3,7,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,2,7,5,6,1,4]=>[3,2,7,1,5,6,4]=>[4,6,5,1,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,2,7,5,6,4,1]=>[7,3,5,2,6,4,1]=>[1,4,6,2,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,2,7,6,1,4,5]=>[3,2,7,1,4,6,5]=>[5,6,4,1,7,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[3,2,7,6,1,5,4]=>[7,3,6,2,1,5,4]=>[4,5,1,2,6,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,7,6,4,1,5]=>[3,7,6,2,4,1,5]=>[5,1,4,2,6,7,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[3,2,7,6,4,5,1]=>[3,7,6,2,4,5,1]=>[1,5,4,2,6,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,2,7,6,5,1,4]=>[3,7,6,2,1,5,4]=>[4,5,1,2,6,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,7,6,5,4,1]=>[7,6,5,3,2,4,1]=>[1,4,2,3,5,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,4,1,2,5,6,7]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[3,4,1,2,5,7,6]=>[7,1,3,4,2,5,6]=>[6,5,2,4,3,1,7]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,4,1,2,6,5,7]=>[6,1,3,4,2,5,7]=>[7,5,2,4,3,1,6]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[3,4,1,2,6,7,5]=>[6,1,3,4,2,7,5]=>[5,7,2,4,3,1,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,4,1,2,7,5,6]=>[1,7,3,4,2,5,6]=>[6,5,2,4,3,7,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,4,1,2,7,6,5]=>[7,6,1,3,4,2,5]=>[5,2,4,3,1,6,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,4,1,5,2,6,7]=>[3,4,5,1,2,6,7]=>[7,6,2,1,5,4,3]=>[[[[.,.],[[[.,.],.],.]],.],.]
[3,4,1,5,2,7,6]=>[7,3,4,5,1,2,6]=>[6,2,1,5,4,3,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,4,1,5,6,2,7]=>[3,4,5,1,6,2,7]=>[7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,4,1,5,6,7,2]=>[3,4,5,1,6,7,2]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,1,5,7,2,6]=>[3,4,5,1,2,7,6]=>[6,7,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,4,1,5,7,6,2]=>[7,3,4,5,1,6,2]=>[2,6,1,5,4,3,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[3,4,1,6,2,5,7]=>[3,4,1,6,2,5,7]=>[7,5,2,6,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[3,4,1,6,2,7,5]=>[6,3,4,7,1,2,5]=>[5,2,1,7,4,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,4,1,6,5,2,7]=>[6,3,4,5,1,2,7]=>[7,2,1,5,4,3,6]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,4,1,6,5,7,2]=>[6,3,4,5,1,7,2]=>[2,7,1,5,4,3,6]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[3,4,1,6,7,2,5]=>[3,4,1,6,2,7,5]=>[5,7,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,4,1,6,7,5,2]=>[6,3,4,7,1,5,2]=>[2,5,1,7,4,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,4,1,7,2,5,6]=>[3,4,1,2,7,5,6]=>[6,5,7,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,4,1,7,2,6,5]=>[7,3,4,1,6,2,5]=>[5,2,6,1,4,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,4,1,7,5,2,6]=>[3,7,4,5,1,2,6]=>[6,2,1,5,4,7,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,4,1,7,5,6,2]=>[3,7,4,5,1,6,2]=>[2,6,1,5,4,7,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[3,4,1,7,6,2,5]=>[3,7,4,1,6,2,5]=>[5,2,6,1,4,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,4,1,7,6,5,2]=>[7,6,3,4,5,1,2]=>[2,1,5,4,3,6,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,4,2,1,5,6,7]=>[3,4,2,1,5,6,7]=>[7,6,5,1,2,4,3]=>[[[[.,[.,[[.,.],.]]],.],.],.]
[3,4,2,1,5,7,6]=>[7,3,4,2,1,5,6]=>[6,5,1,2,4,3,7]=>[[[.,[.,[[.,.],.]]],.],[.,.]]
[3,4,2,1,6,5,7]=>[6,3,4,2,1,5,7]=>[7,5,1,2,4,3,6]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[3,4,2,1,6,7,5]=>[6,3,4,2,1,7,5]=>[5,7,1,2,4,3,6]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[3,4,2,1,7,5,6]=>[3,7,4,2,1,5,6]=>[6,5,1,2,4,7,3]=>[[[.,[.,[[.,.],.]]],.],[.,.]]
[3,4,2,1,7,6,5]=>[7,6,3,4,2,1,5]=>[5,1,2,4,3,6,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[3,4,2,5,1,6,7]=>[3,4,2,5,1,6,7]=>[7,6,1,5,2,4,3]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[3,4,2,5,1,7,6]=>[7,3,4,2,5,1,6]=>[6,1,5,2,4,3,7]=>[[.,[[.,[[.,.],.]],.]],[.,.]]
[3,4,2,5,6,1,7]=>[3,4,2,5,6,1,7]=>[7,1,6,5,2,4,3]=>[[.,[[[.,[[.,.],.]],.],.]],.]
[3,4,2,5,6,7,1]=>[3,4,2,5,6,7,1]=>[1,7,6,5,2,4,3]=>[.,[[[[.,[[.,.],.]],.],.],.]]
[3,4,2,5,7,1,6]=>[3,4,2,5,1,7,6]=>[6,7,1,5,2,4,3]=>[[.,[[.,[[.,.],.]],.]],[.,.]]
[3,4,2,5,7,6,1]=>[7,3,4,2,5,6,1]=>[1,6,5,2,4,3,7]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[3,4,2,6,1,5,7]=>[3,4,2,1,6,5,7]=>[7,5,6,1,2,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[3,4,2,6,1,7,5]=>[6,3,4,2,7,1,5]=>[5,1,7,2,4,3,6]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[3,4,2,6,5,1,7]=>[6,3,4,2,5,1,7]=>[7,1,5,2,4,3,6]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[3,4,2,6,5,7,1]=>[6,3,4,2,5,7,1]=>[1,7,5,2,4,3,6]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[3,4,2,6,7,1,5]=>[3,4,2,1,6,7,5]=>[5,7,6,1,2,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[3,4,2,6,7,5,1]=>[6,3,4,2,7,5,1]=>[1,5,7,2,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[3,4,2,7,1,5,6]=>[3,4,2,1,5,7,6]=>[6,7,5,1,2,4,3]=>[[[.,[.,[[.,.],.]]],.],[.,.]]
[3,4,2,7,1,6,5]=>[7,3,4,2,1,6,5]=>[5,6,1,2,4,3,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[3,4,2,7,5,1,6]=>[3,7,4,2,5,1,6]=>[6,1,5,2,4,7,3]=>[[.,[[.,[[.,.],.]],.]],[.,.]]
[3,4,2,7,5,6,1]=>[3,7,4,2,5,6,1]=>[1,6,5,2,4,7,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[3,4,2,7,6,1,5]=>[3,7,4,2,1,6,5]=>[5,6,1,2,4,7,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[3,4,2,7,6,5,1]=>[7,6,3,4,2,5,1]=>[1,5,2,4,3,6,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[3,4,5,1,2,6,7]=>[1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[3,4,5,1,2,7,6]=>[7,1,3,4,5,2,6]=>[6,2,5,4,3,1,7]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,4,5,1,6,2,7]=>[3,4,5,6,1,2,7]=>[7,2,1,6,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,4,5,1,6,7,2]=>[3,4,5,6,1,7,2]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,5,1,7,2,6]=>[3,4,5,1,7,2,6]=>[6,2,7,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,4,5,1,7,6,2]=>[7,3,4,5,6,1,2]=>[2,1,6,5,4,3,7]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[3,4,5,2,1,6,7]=>[3,4,5,2,1,6,7]=>[7,6,1,2,5,4,3]=>[[[.,[.,[[[.,.],.],.]]],.],.]
[3,4,5,2,1,7,6]=>[7,3,4,5,2,1,6]=>[6,1,2,5,4,3,7]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[3,4,5,2,6,1,7]=>[3,4,5,2,6,1,7]=>[7,1,6,2,5,4,3]=>[[.,[[.,[[[.,.],.],.]],.]],.]
[3,4,5,2,6,7,1]=>[3,4,5,2,6,7,1]=>[1,7,6,2,5,4,3]=>[.,[[[.,[[[.,.],.],.]],.],.]]
[3,4,5,2,7,1,6]=>[3,4,5,2,1,7,6]=>[6,7,1,2,5,4,3]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[3,4,5,2,7,6,1]=>[7,3,4,5,2,6,1]=>[1,6,2,5,4,3,7]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[3,4,5,6,1,2,7]=>[1,3,4,5,6,2,7]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,4,5,6,1,7,2]=>[3,4,5,6,7,1,2]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,5,6,2,1,7]=>[3,4,5,6,2,1,7]=>[7,1,2,6,5,4,3]=>[[.,[.,[[[[.,.],.],.],.]]],.]
[3,4,5,6,2,7,1]=>[3,4,5,6,2,7,1]=>[1,7,2,6,5,4,3]=>[.,[[.,[[[[.,.],.],.],.]],.]]
[3,4,5,6,7,1,2]=>[1,3,4,5,6,7,2]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,5,6,7,2,1]=>[3,4,5,6,7,2,1]=>[1,2,7,6,5,4,3]=>[.,[.,[[[[[.,.],.],.],.],.]]]
[3,4,5,7,1,2,6]=>[1,3,4,5,2,7,6]=>[6,7,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,4,5,7,1,6,2]=>[3,4,5,7,1,6,2]=>[2,6,1,7,5,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[3,4,5,7,2,1,6]=>[3,4,5,2,7,1,6]=>[6,1,7,2,5,4,3]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[3,4,5,7,2,6,1]=>[3,4,5,2,7,6,1]=>[1,6,7,2,5,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[3,4,5,7,6,1,2]=>[1,7,3,4,5,6,2]=>[2,6,5,4,3,7,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[3,4,5,7,6,2,1]=>[7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[3,4,6,1,2,5,7]=>[1,3,4,2,6,5,7]=>[7,5,6,2,4,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[3,4,6,1,2,7,5]=>[6,1,3,4,7,2,5]=>[5,2,7,4,3,1,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,4,6,1,5,2,7]=>[3,4,6,1,5,2,7]=>[7,2,5,1,6,4,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,4,6,1,5,7,2]=>[3,4,6,1,5,7,2]=>[2,7,5,1,6,4,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[3,4,6,1,7,2,5]=>[3,4,1,6,7,2,5]=>[5,2,7,6,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,4,6,1,7,5,2]=>[6,3,4,7,5,1,2]=>[2,1,5,7,4,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,4,6,2,1,5,7]=>[3,4,2,6,1,5,7]=>[7,5,1,6,2,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[3,4,6,2,1,7,5]=>[6,3,4,7,2,1,5]=>[5,1,2,7,4,3,6]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[3,4,6,2,5,1,7]=>[3,4,2,6,5,1,7]=>[7,1,5,6,2,4,3]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[3,4,6,2,5,7,1]=>[3,4,2,6,5,7,1]=>[1,7,5,6,2,4,3]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[3,4,6,2,7,1,5]=>[3,4,2,6,1,7,5]=>[5,7,1,6,2,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[3,4,6,2,7,5,1]=>[6,3,4,7,2,5,1]=>[1,5,2,7,4,3,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[3,4,6,5,1,2,7]=>[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,4,6,5,1,7,2]=>[6,3,4,5,7,1,2]=>[2,1,7,5,4,3,6]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[3,4,6,5,2,1,7]=>[6,3,4,5,2,1,7]=>[7,1,2,5,4,3,6]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[3,4,6,5,2,7,1]=>[6,3,4,5,2,7,1]=>[1,7,2,5,4,3,6]=>[.,[[.,[[[.,.],.],[.,.]]],.]]
[3,4,6,5,7,1,2]=>[1,6,3,4,5,7,2]=>[2,7,5,4,3,6,1]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[3,4,6,5,7,2,1]=>[6,3,4,5,7,2,1]=>[1,2,7,5,4,3,6]=>[.,[.,[[[[.,.],.],[.,.]],.]]]
[3,4,6,7,1,2,5]=>[1,3,4,2,6,7,5]=>[5,7,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,4,6,7,1,5,2]=>[3,4,6,1,7,5,2]=>[2,5,7,1,6,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,4,6,7,2,1,5]=>[3,4,2,6,7,1,5]=>[5,1,7,6,2,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[3,4,6,7,2,5,1]=>[3,4,2,6,7,5,1]=>[1,5,7,6,2,4,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[3,4,6,7,5,1,2]=>[1,6,3,4,7,5,2]=>[2,5,7,4,3,6,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,4,6,7,5,2,1]=>[6,3,4,7,5,2,1]=>[1,2,5,7,4,3,6]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[3,4,7,1,2,5,6]=>[1,3,4,2,5,7,6]=>[6,7,5,2,4,3,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,4,7,1,2,6,5]=>[7,1,3,4,2,6,5]=>[5,6,2,4,3,1,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,4,7,1,5,2,6]=>[3,4,1,7,5,2,6]=>[6,2,5,7,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,4,7,1,5,6,2]=>[3,4,5,1,7,6,2]=>[2,6,7,1,5,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[3,4,7,1,6,2,5]=>[3,4,1,7,2,6,5]=>[5,6,2,7,1,4,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,4,7,1,6,5,2]=>[7,3,4,6,1,5,2]=>[2,5,1,6,4,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,4,7,2,1,5,6]=>[3,4,2,1,7,5,6]=>[6,5,7,1,2,4,3]=>[[[.,[.,[[.,.],.]]],.],[.,.]]
[3,4,7,2,1,6,5]=>[7,3,4,2,6,1,5]=>[5,1,6,2,4,3,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[3,4,7,2,5,1,6]=>[3,4,2,5,7,1,6]=>[6,1,7,5,2,4,3]=>[[.,[[.,[[.,.],.]],.]],[.,.]]
[3,4,7,2,5,6,1]=>[3,4,2,5,7,6,1]=>[1,6,7,5,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[3,4,7,2,6,1,5]=>[3,4,2,1,7,6,5]=>[5,6,7,1,2,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[3,4,7,2,6,5,1]=>[7,3,4,2,6,5,1]=>[1,5,6,2,4,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[3,4,7,5,1,2,6]=>[1,3,7,4,5,2,6]=>[6,2,5,4,7,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,4,7,5,1,6,2]=>[3,7,4,5,6,1,2]=>[2,1,6,5,4,7,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[3,4,7,5,2,1,6]=>[3,7,4,5,2,1,6]=>[6,1,2,5,4,7,3]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[3,4,7,5,2,6,1]=>[3,7,4,5,2,6,1]=>[1,6,2,5,4,7,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[3,4,7,5,6,1,2]=>[1,3,7,4,5,6,2]=>[2,6,5,4,7,3,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[3,4,7,5,6,2,1]=>[3,7,4,5,6,2,1]=>[1,2,6,5,4,7,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[3,4,7,6,1,2,5]=>[1,3,7,4,2,6,5]=>[5,6,2,4,7,3,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,4,7,6,1,5,2]=>[3,7,4,6,1,5,2]=>[2,5,1,6,4,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,4,7,6,2,1,5]=>[3,7,4,2,6,1,5]=>[5,1,6,2,4,7,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[3,4,7,6,2,5,1]=>[3,7,4,2,6,5,1]=>[1,5,6,2,4,7,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[3,4,7,6,5,1,2]=>[1,7,6,3,4,5,2]=>[2,5,4,3,6,7,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,4,7,6,5,2,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,5,1,2,4,6,7]=>[1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[3,5,1,2,4,7,6]=>[7,1,3,2,5,4,6]=>[6,4,5,2,3,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,5,1,2,6,4,7]=>[5,1,3,6,2,4,7]=>[7,4,2,6,3,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[3,5,1,2,6,7,4]=>[5,1,3,6,2,7,4]=>[4,7,2,6,3,1,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,5,1,2,7,4,6]=>[5,1,3,2,7,4,6]=>[6,4,7,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,5,1,2,7,6,4]=>[7,5,1,3,6,2,4]=>[4,2,6,3,1,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,5,1,4,2,6,7]=>[3,5,1,4,2,6,7]=>[7,6,2,4,1,5,3]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[3,5,1,4,2,7,6]=>[7,3,5,1,4,2,6]=>[6,2,4,1,5,3,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,5,1,4,6,2,7]=>[3,5,1,4,6,2,7]=>[7,2,6,4,1,5,3]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,5,1,4,6,7,2]=>[3,5,1,4,6,7,2]=>[2,7,6,4,1,5,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[3,5,1,4,7,2,6]=>[3,5,1,4,2,7,6]=>[6,7,2,4,1,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,5,1,4,7,6,2]=>[7,3,5,1,4,6,2]=>[2,6,4,1,5,3,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,5,1,6,2,4,7]=>[3,1,5,6,2,4,7]=>[7,4,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[3,5,1,6,2,7,4]=>[5,3,6,7,1,2,4]=>[4,2,1,7,6,3,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,5,1,6,4,2,7]=>[5,3,6,4,1,2,7]=>[7,2,1,4,6,3,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,5,1,6,4,7,2]=>[5,3,6,4,1,7,2]=>[2,7,1,4,6,3,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[3,5,1,6,7,2,4]=>[3,1,5,6,2,7,4]=>[4,7,2,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,5,1,6,7,4,2]=>[5,3,6,7,1,4,2]=>[2,4,1,7,6,3,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[3,5,1,7,2,4,6]=>[3,1,5,2,7,4,6]=>[6,4,7,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,5,1,7,2,6,4]=>[5,3,7,1,6,2,4]=>[4,2,6,1,7,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,5,1,7,4,2,6]=>[5,3,4,7,1,2,6]=>[6,2,1,7,4,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,5,1,7,4,6,2]=>[5,3,7,1,4,6,2]=>[2,6,4,1,7,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,5,1,7,6,2,4]=>[3,7,1,5,6,2,4]=>[4,2,6,5,1,7,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,5,1,7,6,4,2]=>[7,5,3,6,4,1,2]=>[2,1,4,6,3,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,5,2,1,4,6,7]=>[3,2,5,1,4,6,7]=>[7,6,4,1,5,2,3]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[3,5,2,1,4,7,6]=>[7,3,2,5,1,4,6]=>[6,4,1,5,2,3,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[3,5,2,1,6,4,7]=>[5,3,6,2,1,4,7]=>[7,4,1,2,6,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,5,2,1,6,7,4]=>[5,3,6,2,1,7,4]=>[4,7,1,2,6,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[3,5,2,1,7,4,6]=>[5,3,2,7,1,4,6]=>[6,4,1,7,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[3,5,2,1,7,6,4]=>[7,5,3,6,2,1,4]=>[4,1,2,6,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,5,2,4,1,6,7]=>[3,2,5,4,1,6,7]=>[7,6,1,4,5,2,3]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[3,5,2,4,1,7,6]=>[7,3,2,5,4,1,6]=>[6,1,4,5,2,3,7]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[3,5,2,4,6,1,7]=>[3,2,5,4,6,1,7]=>[7,1,6,4,5,2,3]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[3,5,2,4,6,7,1]=>[3,2,5,4,6,7,1]=>[1,7,6,4,5,2,3]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[3,5,2,4,7,1,6]=>[3,2,5,4,1,7,6]=>[6,7,1,4,5,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[3,5,2,4,7,6,1]=>[7,3,2,5,4,6,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,5,2,6,1,4,7]=>[3,2,5,1,6,4,7]=>[7,4,6,1,5,2,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,5,2,6,1,7,4]=>[5,3,6,2,7,1,4]=>[4,1,7,2,6,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[3,5,2,6,4,1,7]=>[5,3,6,2,4,1,7]=>[7,1,4,2,6,3,5]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[3,5,2,6,4,7,1]=>[5,3,6,2,4,7,1]=>[1,7,4,2,6,3,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[3,5,2,6,7,1,4]=>[3,2,5,1,6,7,4]=>[4,7,6,1,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[3,5,2,6,7,4,1]=>[5,3,6,2,7,4,1]=>[1,4,7,2,6,3,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[3,5,2,7,1,4,6]=>[3,2,5,1,4,7,6]=>[6,7,4,1,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[3,5,2,7,1,6,4]=>[5,3,7,2,1,6,4]=>[4,6,1,2,7,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,5,2,7,4,1,6]=>[5,3,2,7,4,1,6]=>[6,1,4,7,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[3,5,2,7,4,6,1]=>[5,3,2,7,4,6,1]=>[1,6,4,7,2,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,5,2,7,6,1,4]=>[3,7,2,5,1,6,4]=>[4,6,1,5,2,7,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,5,2,7,6,4,1]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,5,4,1,2,6,7]=>[1,5,3,4,2,6,7]=>[7,6,2,4,3,5,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[3,5,4,1,2,7,6]=>[7,1,5,3,4,2,6]=>[6,2,4,3,5,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,5,4,1,6,2,7]=>[5,3,4,6,1,2,7]=>[7,2,1,6,4,3,5]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,5,4,1,6,7,2]=>[5,3,4,6,1,7,2]=>[2,7,1,6,4,3,5]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[3,5,4,1,7,2,6]=>[5,3,4,1,7,2,6]=>[6,2,7,1,4,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,5,4,1,7,6,2]=>[7,5,3,4,6,1,2]=>[2,1,6,4,3,5,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,5,4,2,1,6,7]=>[5,3,4,2,1,6,7]=>[7,6,1,2,4,3,5]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[3,5,4,2,1,7,6]=>[7,5,3,4,2,1,6]=>[6,1,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[3,5,4,2,6,1,7]=>[5,3,4,2,6,1,7]=>[7,1,6,2,4,3,5]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[3,5,4,2,6,7,1]=>[5,3,4,2,6,7,1]=>[1,7,6,2,4,3,5]=>[.,[[[.,[[.,.],[.,.]]],.],.]]
[3,5,4,2,7,1,6]=>[5,3,4,2,1,7,6]=>[6,7,1,2,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[3,5,4,2,7,6,1]=>[7,5,3,4,2,6,1]=>[1,6,2,4,3,5,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,5,4,6,1,2,7]=>[1,5,3,4,6,2,7]=>[7,2,6,4,3,5,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,5,4,6,1,7,2]=>[5,3,4,6,7,1,2]=>[2,1,7,6,4,3,5]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[3,5,4,6,2,1,7]=>[5,3,4,6,2,1,7]=>[7,1,2,6,4,3,5]=>[[.,[.,[[[.,.],[.,.]],.]]],.]
[3,5,4,6,2,7,1]=>[5,3,4,6,2,7,1]=>[1,7,2,6,4,3,5]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[3,5,4,6,7,1,2]=>[1,5,3,4,6,7,2]=>[2,7,6,4,3,5,1]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[3,5,4,6,7,2,1]=>[5,3,4,6,7,2,1]=>[1,2,7,6,4,3,5]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[3,5,4,7,1,2,6]=>[1,5,3,4,2,7,6]=>[6,7,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,5,4,7,1,6,2]=>[5,3,4,7,1,6,2]=>[2,6,1,7,4,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,5,4,7,2,1,6]=>[5,3,4,2,7,1,6]=>[6,1,7,2,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[3,5,4,7,2,6,1]=>[5,3,4,2,7,6,1]=>[1,6,7,2,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,5,4,7,6,1,2]=>[1,7,5,3,4,6,2]=>[2,6,4,3,5,7,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,5,4,7,6,2,1]=>[7,5,3,4,6,2,1]=>[1,2,6,4,3,5,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,5,6,1,2,4,7]=>[1,3,2,5,6,4,7]=>[7,4,6,5,2,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[3,5,6,1,2,7,4]=>[5,1,3,6,7,2,4]=>[4,2,7,6,3,1,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,5,6,1,4,2,7]=>[3,5,1,6,4,2,7]=>[7,2,4,6,1,5,3]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,5,6,1,4,7,2]=>[3,5,1,6,4,7,2]=>[2,7,4,6,1,5,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[3,5,6,1,7,2,4]=>[3,1,5,6,7,2,4]=>[4,2,7,6,5,1,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,5,6,1,7,4,2]=>[5,3,6,7,4,1,2]=>[2,1,4,7,6,3,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[3,5,6,2,1,4,7]=>[3,2,5,6,1,4,7]=>[7,4,1,6,5,2,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,5,6,2,1,7,4]=>[5,3,6,7,2,1,4]=>[4,1,2,7,6,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[3,5,6,2,4,1,7]=>[3,2,5,6,4,1,7]=>[7,1,4,6,5,2,3]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[3,5,6,2,4,7,1]=>[3,2,5,6,4,7,1]=>[1,7,4,6,5,2,3]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[3,5,6,2,7,1,4]=>[3,2,5,6,1,7,4]=>[4,7,1,6,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[3,5,6,2,7,4,1]=>[5,3,6,7,2,4,1]=>[1,4,2,7,6,3,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[3,5,6,4,1,2,7]=>[1,5,3,6,4,2,7]=>[7,2,4,6,3,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,5,6,4,1,7,2]=>[5,3,6,4,7,1,2]=>[2,1,7,4,6,3,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[3,5,6,4,2,1,7]=>[5,3,6,4,2,1,7]=>[7,1,2,4,6,3,5]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[3,5,6,4,2,7,1]=>[5,3,6,4,2,7,1]=>[1,7,2,4,6,3,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[3,5,6,4,7,1,2]=>[1,5,3,6,4,7,2]=>[2,7,4,6,3,5,1]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[3,5,6,4,7,2,1]=>[5,3,6,4,7,2,1]=>[1,2,7,4,6,3,5]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[3,5,6,7,1,2,4]=>[1,3,2,5,6,7,4]=>[4,7,6,5,2,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,5,6,7,1,4,2]=>[3,5,1,6,7,4,2]=>[2,4,7,6,1,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[3,5,6,7,2,1,4]=>[3,2,5,6,7,1,4]=>[4,1,7,6,5,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[3,5,6,7,2,4,1]=>[3,2,5,6,7,4,1]=>[1,4,7,6,5,2,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[3,5,6,7,4,1,2]=>[1,5,3,6,7,4,2]=>[2,4,7,6,3,5,1]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[3,5,6,7,4,2,1]=>[5,3,6,7,4,2,1]=>[1,2,4,7,6,3,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[3,5,7,1,2,4,6]=>[1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,5,7,1,2,6,4]=>[5,1,3,7,2,6,4]=>[4,6,2,7,3,1,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,5,7,1,4,2,6]=>[3,5,1,4,7,2,6]=>[6,2,7,4,1,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,5,7,1,4,6,2]=>[3,5,1,4,7,6,2]=>[2,6,7,4,1,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,5,7,1,6,2,4]=>[3,1,5,7,2,6,4]=>[4,6,2,7,5,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,5,7,1,6,4,2]=>[5,3,7,6,1,4,2]=>[2,4,1,6,7,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,5,7,2,1,4,6]=>[3,2,5,1,7,4,6]=>[6,4,7,1,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[3,5,7,2,1,6,4]=>[5,3,7,2,6,1,4]=>[4,1,6,2,7,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,5,7,2,4,1,6]=>[3,2,5,4,7,1,6]=>[6,1,7,4,5,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[3,5,7,2,4,6,1]=>[3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,5,7,2,6,1,4]=>[3,2,5,1,7,6,4]=>[4,6,7,1,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,5,7,2,6,4,1]=>[5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,5,7,4,1,2,6]=>[1,5,3,4,7,2,6]=>[6,2,7,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,5,7,4,1,6,2]=>[5,3,4,7,6,1,2]=>[2,1,6,7,4,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,5,7,4,2,1,6]=>[5,3,4,7,2,1,6]=>[6,1,2,7,4,3,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[3,5,7,4,2,6,1]=>[5,3,4,7,2,6,1]=>[1,6,2,7,4,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,5,7,4,6,1,2]=>[1,5,3,4,7,6,2]=>[2,6,7,4,3,5,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,5,7,4,6,2,1]=>[5,3,4,7,6,2,1]=>[1,2,6,7,4,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,5,7,6,1,2,4]=>[1,3,7,2,5,6,4]=>[4,6,5,2,7,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,5,7,6,1,4,2]=>[3,7,5,1,6,4,2]=>[2,4,6,1,5,7,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,5,7,6,2,1,4]=>[3,7,2,5,6,1,4]=>[4,1,6,5,2,7,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,5,7,6,2,4,1]=>[3,7,2,5,6,4,1]=>[1,4,6,5,2,7,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,5,7,6,4,1,2]=>[1,7,5,3,6,4,2]=>[2,4,6,3,5,7,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,5,7,6,4,2,1]=>[7,5,3,6,4,2,1]=>[1,2,4,6,3,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,6,1,2,4,5,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[3,6,1,2,4,7,5]=>[6,1,3,2,7,4,5]=>[5,4,7,2,3,1,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,6,1,2,5,4,7]=>[6,1,3,2,5,4,7]=>[7,4,5,2,3,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[3,6,1,2,5,7,4]=>[6,1,3,2,5,7,4]=>[4,7,5,2,3,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,6,1,2,7,4,5]=>[1,6,3,2,7,4,5]=>[5,4,7,2,3,6,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,6,1,2,7,5,4]=>[6,7,1,3,5,2,4]=>[4,2,5,3,1,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,6,1,4,2,5,7]=>[3,1,6,4,2,5,7]=>[7,5,2,4,6,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[3,6,1,4,2,7,5]=>[6,3,7,1,4,2,5]=>[5,2,4,1,7,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,6,1,4,5,2,7]=>[3,4,1,6,5,2,7]=>[7,2,5,6,1,4,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,6,1,4,5,7,2]=>[3,4,1,6,5,7,2]=>[2,7,5,6,1,4,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[3,6,1,4,7,2,5]=>[3,1,6,4,2,7,5]=>[5,7,2,4,6,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,6,1,4,7,5,2]=>[6,3,7,1,4,5,2]=>[2,5,4,1,7,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,6,1,5,2,4,7]=>[3,1,6,2,5,4,7]=>[7,4,5,2,6,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[3,6,1,5,2,7,4]=>[6,3,5,1,7,2,4]=>[4,2,7,1,5,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,6,1,5,4,2,7]=>[6,3,5,1,4,2,7]=>[7,2,4,1,5,3,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,6,1,5,4,7,2]=>[6,3,5,1,4,7,2]=>[2,7,4,1,5,3,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[3,6,1,5,7,2,4]=>[3,1,6,2,5,7,4]=>[4,7,5,2,6,1,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,6,1,5,7,4,2]=>[6,3,5,1,7,4,2]=>[2,4,7,1,5,3,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[3,6,1,7,2,4,5]=>[3,1,2,6,7,4,5]=>[5,4,7,6,2,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,6,1,7,2,5,4]=>[6,3,1,7,5,2,4]=>[4,2,5,7,1,3,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,6,1,7,4,2,5]=>[3,6,4,7,1,2,5]=>[5,2,1,7,4,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,6,1,7,4,5,2]=>[3,6,7,1,4,5,2]=>[2,5,4,1,7,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,6,1,7,5,2,4]=>[3,6,1,7,5,2,4]=>[4,2,5,7,1,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,6,1,7,5,4,2]=>[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,6,2,1,4,5,7]=>[3,2,1,6,4,5,7]=>[7,5,4,6,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[3,6,2,1,4,7,5]=>[6,3,2,7,1,4,5]=>[5,4,1,7,2,3,6]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[3,6,2,1,5,4,7]=>[6,3,2,5,1,4,7]=>[7,4,1,5,2,3,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,6,2,1,5,7,4]=>[6,3,2,5,1,7,4]=>[4,7,1,5,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[3,6,2,1,7,4,5]=>[3,6,2,7,1,4,5]=>[5,4,1,7,2,6,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[3,6,2,1,7,5,4]=>[6,7,3,5,2,1,4]=>[4,1,2,5,3,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,6,2,4,1,5,7]=>[3,2,4,6,1,5,7]=>[7,5,1,6,4,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[3,6,2,4,1,7,5]=>[6,3,2,7,4,1,5]=>[5,1,4,7,2,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[3,6,2,4,5,1,7]=>[3,2,4,6,5,1,7]=>[7,1,5,6,4,2,3]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[3,6,2,4,5,7,1]=>[3,2,4,6,5,7,1]=>[1,7,5,6,4,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[3,6,2,4,7,1,5]=>[3,2,4,6,1,7,5]=>[5,7,1,6,4,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[3,6,2,4,7,5,1]=>[6,3,2,7,4,5,1]=>[1,5,4,7,2,3,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,6,2,5,1,4,7]=>[3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,6,2,5,1,7,4]=>[6,3,2,5,7,1,4]=>[4,1,7,5,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[3,6,2,5,4,1,7]=>[6,3,2,5,4,1,7]=>[7,1,4,5,2,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[3,6,2,5,4,7,1]=>[6,3,2,5,4,7,1]=>[1,7,4,5,2,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[3,6,2,5,7,1,4]=>[3,2,1,6,5,7,4]=>[4,7,5,6,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[3,6,2,5,7,4,1]=>[6,3,2,5,7,4,1]=>[1,4,7,5,2,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,6,2,7,1,4,5]=>[3,2,1,6,4,7,5]=>[5,7,4,6,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[3,6,2,7,1,5,4]=>[6,3,2,7,1,5,4]=>[4,5,1,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,6,2,7,4,1,5]=>[3,6,2,7,4,1,5]=>[5,1,4,7,2,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[3,6,2,7,4,5,1]=>[3,6,2,7,4,5,1]=>[1,5,4,7,2,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,6,2,7,5,1,4]=>[3,6,2,7,1,5,4]=>[4,5,1,7,2,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,6,2,7,5,4,1]=>[6,7,3,5,2,4,1]=>[1,4,2,5,3,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[3,6,4,1,2,5,7]=>[1,3,6,4,2,5,7]=>[7,5,2,4,6,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[3,6,4,1,2,7,5]=>[6,1,7,3,4,2,5]=>[5,2,4,3,7,1,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,6,4,1,5,2,7]=>[3,6,4,5,1,2,7]=>[7,2,1,5,4,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,6,4,1,5,7,2]=>[3,6,4,5,1,7,2]=>[2,7,1,5,4,6,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[3,6,4,1,7,2,5]=>[3,6,4,1,7,2,5]=>[5,2,7,1,4,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,6,4,1,7,5,2]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,6,4,2,1,5,7]=>[3,6,4,2,1,5,7]=>[7,5,1,2,4,6,3]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[3,6,4,2,1,7,5]=>[6,7,3,4,2,1,5]=>[5,1,2,4,3,7,6]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[3,6,4,2,5,1,7]=>[3,6,4,2,5,1,7]=>[7,1,5,2,4,6,3]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[3,6,4,2,5,7,1]=>[3,6,4,2,5,7,1]=>[1,7,5,2,4,6,3]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[3,6,4,2,7,1,5]=>[3,6,4,2,1,7,5]=>[5,7,1,2,4,6,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[3,6,4,2,7,5,1]=>[6,7,3,4,2,5,1]=>[1,5,2,4,3,7,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[3,6,4,5,1,2,7]=>[1,3,6,4,5,2,7]=>[7,2,5,4,6,3,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,6,4,5,1,7,2]=>[3,6,4,5,7,1,2]=>[2,1,7,5,4,6,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[3,6,4,5,2,1,7]=>[3,6,4,5,2,1,7]=>[7,1,2,5,4,6,3]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[3,6,4,5,2,7,1]=>[3,6,4,5,2,7,1]=>[1,7,2,5,4,6,3]=>[.,[[.,[[[.,.],.],[.,.]]],.]]
[3,6,4,5,7,1,2]=>[1,3,6,4,5,7,2]=>[2,7,5,4,6,3,1]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[3,6,4,5,7,2,1]=>[3,6,4,5,7,2,1]=>[1,2,7,5,4,6,3]=>[.,[.,[[[[.,.],.],[.,.]],.]]]
[3,6,4,7,1,2,5]=>[1,3,6,4,2,7,5]=>[5,7,2,4,6,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,6,4,7,1,5,2]=>[3,6,4,7,1,5,2]=>[2,5,1,7,4,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,6,4,7,2,1,5]=>[3,6,4,2,7,1,5]=>[5,1,7,2,4,6,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[3,6,4,7,2,5,1]=>[3,6,4,2,7,5,1]=>[1,5,7,2,4,6,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[3,6,4,7,5,1,2]=>[1,6,7,3,4,5,2]=>[2,5,4,3,7,6,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,6,4,7,5,2,1]=>[6,7,3,4,5,2,1]=>[1,2,5,4,3,7,6]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[3,6,5,1,2,4,7]=>[1,3,6,2,5,4,7]=>[7,4,5,2,6,3,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[3,6,5,1,2,7,4]=>[6,1,5,3,7,2,4]=>[4,2,7,3,5,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,6,5,1,4,2,7]=>[3,6,5,1,4,2,7]=>[7,2,4,1,5,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,6,5,1,4,7,2]=>[3,6,5,1,4,7,2]=>[2,7,4,1,5,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[3,6,5,1,7,2,4]=>[3,6,1,5,7,2,4]=>[4,2,7,5,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,6,5,1,7,4,2]=>[6,5,3,7,4,1,2]=>[2,1,4,7,3,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[3,6,5,2,1,4,7]=>[3,6,2,5,1,4,7]=>[7,4,1,5,2,6,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,6,5,2,1,7,4]=>[6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[3,6,5,2,4,1,7]=>[3,6,2,5,4,1,7]=>[7,1,4,5,2,6,3]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[3,6,5,2,4,7,1]=>[3,6,2,5,4,7,1]=>[1,7,4,5,2,6,3]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[3,6,5,2,7,1,4]=>[3,6,2,5,1,7,4]=>[4,7,1,5,2,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[3,6,5,2,7,4,1]=>[6,5,3,7,2,4,1]=>[1,4,2,7,3,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,6,5,4,1,2,7]=>[1,6,5,3,4,2,7]=>[7,2,4,3,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,6,5,4,1,7,2]=>[6,5,3,4,7,1,2]=>[2,1,7,4,3,5,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[3,6,5,4,2,1,7]=>[6,5,3,4,2,1,7]=>[7,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,6,5,4,2,7,1]=>[6,5,3,4,2,7,1]=>[1,7,2,4,3,5,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[3,6,5,4,7,1,2]=>[1,6,5,3,4,7,2]=>[2,7,4,3,5,6,1]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[3,6,5,4,7,2,1]=>[6,5,3,4,7,2,1]=>[1,2,7,4,3,5,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[3,6,5,7,1,2,4]=>[1,3,6,2,5,7,4]=>[4,7,5,2,6,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[3,6,5,7,1,4,2]=>[3,6,5,1,7,4,2]=>[2,4,7,1,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[3,6,5,7,2,1,4]=>[3,6,2,5,7,1,4]=>[4,1,7,5,2,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[3,6,5,7,2,4,1]=>[3,6,2,5,7,4,1]=>[1,4,7,5,2,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[3,6,5,7,4,1,2]=>[1,6,5,3,7,4,2]=>[2,4,7,3,5,6,1]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[3,6,5,7,4,2,1]=>[6,5,3,7,4,2,1]=>[1,2,4,7,3,5,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[3,6,7,1,2,4,5]=>[1,3,2,4,6,7,5]=>[5,7,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[3,6,7,1,2,5,4]=>[6,1,3,2,7,5,4]=>[4,5,7,2,3,1,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,6,7,1,4,2,5]=>[3,1,6,4,7,2,5]=>[5,2,7,4,6,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,6,7,1,4,5,2]=>[3,4,1,6,7,5,2]=>[2,5,7,6,1,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,6,7,1,5,2,4]=>[3,1,6,2,7,5,4]=>[4,5,7,2,6,1,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,6,7,1,5,4,2]=>[6,3,7,1,5,4,2]=>[2,4,5,1,7,3,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,6,7,2,1,4,5]=>[3,2,1,6,7,4,5]=>[5,4,7,6,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[3,6,7,2,1,5,4]=>[6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,6,7,2,4,1,5]=>[3,2,4,6,7,1,5]=>[5,1,7,6,4,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[3,6,7,2,4,5,1]=>[3,2,4,6,7,5,1]=>[1,5,7,6,4,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[3,6,7,2,5,1,4]=>[3,2,1,6,7,5,4]=>[4,5,7,6,1,2,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,6,7,2,5,4,1]=>[6,3,2,7,5,4,1]=>[1,4,5,7,2,3,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[3,6,7,4,1,2,5]=>[1,3,6,4,7,2,5]=>[5,2,7,4,6,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[3,6,7,4,1,5,2]=>[3,6,4,7,5,1,2]=>[2,1,5,7,4,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,6,7,4,2,1,5]=>[3,6,4,7,2,1,5]=>[5,1,2,7,4,6,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[3,6,7,4,2,5,1]=>[3,6,4,7,2,5,1]=>[1,5,2,7,4,6,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[3,6,7,4,5,1,2]=>[1,3,6,4,7,5,2]=>[2,5,7,4,6,3,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,6,7,4,5,2,1]=>[3,6,4,7,5,2,1]=>[1,2,5,7,4,6,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[3,6,7,5,1,2,4]=>[1,3,6,2,7,5,4]=>[4,5,7,2,6,3,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[3,6,7,5,1,4,2]=>[3,6,7,1,5,4,2]=>[2,4,5,1,7,6,3]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,6,7,5,2,1,4]=>[3,6,2,7,5,1,4]=>[4,1,5,7,2,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,6,7,5,2,4,1]=>[3,6,2,7,5,4,1]=>[1,4,5,7,2,6,3]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[3,6,7,5,4,1,2]=>[1,6,7,3,5,4,2]=>[2,4,5,3,7,6,1]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,6,7,5,4,2,1]=>[6,7,3,5,4,2,1]=>[1,2,4,5,3,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[3,7,1,2,4,5,6]=>[1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[3,7,1,2,4,6,5]=>[7,1,3,2,4,6,5]=>[5,6,4,2,3,1,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[3,7,1,2,5,4,6]=>[1,7,3,2,5,4,6]=>[6,4,5,2,3,7,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,7,1,2,5,6,4]=>[5,1,3,2,7,6,4]=>[4,6,7,2,3,1,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,7,1,2,6,4,5]=>[1,7,3,2,4,6,5]=>[5,6,4,2,3,7,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[3,7,1,2,6,5,4]=>[7,6,1,3,2,5,4]=>[4,5,2,3,1,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,7,1,4,2,5,6]=>[3,1,4,7,2,5,6]=>[6,5,2,7,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,7,1,4,2,6,5]=>[7,3,1,6,4,2,5]=>[5,2,4,6,1,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,7,1,4,5,2,6]=>[3,4,1,5,7,2,6]=>[6,2,7,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,7,1,4,5,6,2]=>[3,4,1,5,7,6,2]=>[2,6,7,5,1,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[3,7,1,4,6,2,5]=>[3,4,1,2,7,6,5]=>[5,6,7,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,7,1,4,6,5,2]=>[7,3,4,1,6,5,2]=>[2,5,6,1,4,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,7,1,5,2,4,6]=>[3,1,2,7,5,4,6]=>[6,4,5,7,2,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,7,1,5,2,6,4]=>[7,3,1,5,6,2,4]=>[4,2,6,5,1,3,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,7,1,5,4,2,6]=>[3,7,5,1,4,2,6]=>[6,2,4,1,5,7,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,7,1,5,4,6,2]=>[3,7,5,1,4,6,2]=>[2,6,4,1,5,7,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,7,1,5,6,2,4]=>[3,1,5,2,7,6,4]=>[4,6,7,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,7,1,5,6,4,2]=>[5,3,7,1,6,4,2]=>[2,4,6,1,7,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,1,6,2,4,5]=>[3,1,2,7,4,6,5]=>[5,6,4,7,2,1,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[3,7,1,6,2,5,4]=>[7,3,1,6,2,5,4]=>[4,5,2,6,1,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,7,1,6,4,2,5]=>[3,7,1,6,4,2,5]=>[5,2,4,6,1,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,7,1,6,4,5,2]=>[3,7,4,1,6,5,2]=>[2,5,6,1,4,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,7,1,6,5,2,4]=>[3,7,1,6,2,5,4]=>[4,5,2,6,1,7,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,7,1,6,5,4,2]=>[7,6,3,5,1,4,2]=>[2,4,1,5,3,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[3,7,2,1,4,5,6]=>[3,2,1,4,7,5,6]=>[6,5,7,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[3,7,2,1,4,6,5]=>[7,3,2,1,6,4,5]=>[5,4,6,1,2,3,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[3,7,2,1,5,4,6]=>[3,7,2,5,1,4,6]=>[6,4,1,5,2,7,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[3,7,2,1,5,6,4]=>[7,3,2,1,5,6,4]=>[4,6,5,1,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,7,2,1,6,4,5]=>[3,7,2,1,6,4,5]=>[5,4,6,1,2,7,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[3,7,2,1,6,5,4]=>[7,6,3,2,5,1,4]=>[4,1,5,2,3,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,7,2,4,1,5,6]=>[3,2,4,1,7,5,6]=>[6,5,7,1,4,2,3]=>[[[.,[[.,[.,.]],.]],.],[.,.]]
[3,7,2,4,1,6,5]=>[7,3,2,4,6,1,5]=>[5,1,6,4,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[3,7,2,4,5,1,6]=>[3,2,4,5,7,1,6]=>[6,1,7,5,4,2,3]=>[[.,[[[.,[.,.]],.],.]],[.,.]]
[3,7,2,4,5,6,1]=>[3,2,4,5,7,6,1]=>[1,6,7,5,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[3,7,2,4,6,1,5]=>[3,2,4,1,7,6,5]=>[5,6,7,1,4,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[3,7,2,4,6,5,1]=>[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,7,2,5,1,4,6]=>[3,2,1,5,7,4,6]=>[6,4,7,5,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[3,7,2,5,1,6,4]=>[5,3,2,7,6,1,4]=>[4,1,6,7,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,7,2,5,4,1,6]=>[3,7,2,5,4,1,6]=>[6,1,4,5,2,7,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[3,7,2,5,4,6,1]=>[3,7,2,5,4,6,1]=>[1,6,4,5,2,7,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,7,2,5,6,1,4]=>[3,2,1,5,7,6,4]=>[4,6,7,5,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,7,2,5,6,4,1]=>[5,3,2,7,6,4,1]=>[1,4,6,7,2,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,7,2,6,1,4,5]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[3,7,2,6,1,5,4]=>[7,3,2,1,6,5,4]=>[4,5,6,1,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,7,2,6,4,1,5]=>[3,7,2,4,6,1,5]=>[5,1,6,4,2,7,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[3,7,2,6,4,5,1]=>[3,7,2,4,6,5,1]=>[1,5,6,4,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,7,2,6,5,1,4]=>[3,7,2,1,6,5,4]=>[4,5,6,1,2,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,7,2,6,5,4,1]=>[7,6,3,2,5,4,1]=>[1,4,5,2,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,7,4,1,2,5,6]=>[1,3,4,7,2,5,6]=>[6,5,2,7,4,3,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[3,7,4,1,2,6,5]=>[7,1,3,6,4,2,5]=>[5,2,4,6,3,1,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,7,4,1,5,2,6]=>[3,4,7,5,1,2,6]=>[6,2,1,5,7,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,7,4,1,5,6,2]=>[3,4,7,5,1,6,2]=>[2,6,1,5,7,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[3,7,4,1,6,2,5]=>[3,4,7,1,6,2,5]=>[5,2,6,1,7,4,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,7,4,1,6,5,2]=>[7,3,6,4,5,1,2]=>[2,1,5,4,6,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,7,4,2,1,5,6]=>[3,4,7,2,1,5,6]=>[6,5,1,2,7,4,3]=>[[[.,[.,[[.,.],.]]],.],[.,.]]
[3,7,4,2,1,6,5]=>[7,3,6,4,2,1,5]=>[5,1,2,4,6,3,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[3,7,4,2,5,1,6]=>[3,4,7,2,5,1,6]=>[6,1,5,2,7,4,3]=>[[.,[[.,[[.,.],.]],.]],[.,.]]
[3,7,4,2,5,6,1]=>[3,4,7,2,5,6,1]=>[1,6,5,2,7,4,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[3,7,4,2,6,1,5]=>[3,4,7,2,1,6,5]=>[5,6,1,2,7,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[3,7,4,2,6,5,1]=>[7,3,6,4,2,5,1]=>[1,5,2,4,6,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[3,7,4,5,1,2,6]=>[1,3,4,7,5,2,6]=>[6,2,5,7,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[3,7,4,5,1,6,2]=>[3,4,7,5,6,1,2]=>[2,1,6,5,7,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[3,7,4,5,2,1,6]=>[3,4,7,5,2,1,6]=>[6,1,2,5,7,4,3]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[3,7,4,5,2,6,1]=>[3,4,7,5,2,6,1]=>[1,6,2,5,7,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[3,7,4,5,6,1,2]=>[1,3,4,7,5,6,2]=>[2,6,5,7,4,3,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[3,7,4,5,6,2,1]=>[3,4,7,5,6,2,1]=>[1,2,6,5,7,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[3,7,4,6,1,2,5]=>[1,3,4,7,2,6,5]=>[5,6,2,7,4,3,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,7,4,6,1,5,2]=>[3,4,7,6,1,5,2]=>[2,5,1,6,7,4,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,7,4,6,2,1,5]=>[3,4,7,2,6,1,5]=>[5,1,6,2,7,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[3,7,4,6,2,5,1]=>[3,4,7,2,6,5,1]=>[1,5,6,2,7,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[3,7,4,6,5,1,2]=>[1,7,3,6,4,5,2]=>[2,5,4,6,3,7,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,7,4,6,5,2,1]=>[7,3,6,4,5,2,1]=>[1,2,5,4,6,3,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,7,5,1,2,4,6]=>[1,3,2,7,5,4,6]=>[6,4,5,7,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[3,7,5,1,2,6,4]=>[7,1,3,5,6,2,4]=>[4,2,6,5,3,1,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,7,5,1,4,2,6]=>[3,5,7,1,4,2,6]=>[6,2,4,1,7,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,7,5,1,4,6,2]=>[3,7,1,5,4,6,2]=>[2,6,4,5,1,7,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,7,5,1,6,2,4]=>[3,1,7,5,6,2,4]=>[4,2,6,5,7,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,7,5,1,6,4,2]=>[7,3,5,6,4,1,2]=>[2,1,4,6,5,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,5,2,1,4,6]=>[3,2,7,5,1,4,6]=>[6,4,1,5,7,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[3,7,5,2,1,6,4]=>[7,3,5,6,2,1,4]=>[4,1,2,6,5,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,7,5,2,4,1,6]=>[3,2,7,5,4,1,6]=>[6,1,4,5,7,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[3,7,5,2,4,6,1]=>[3,2,7,5,4,6,1]=>[1,6,4,5,7,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,7,5,2,6,1,4]=>[3,2,7,5,1,6,4]=>[4,6,1,5,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,7,5,2,6,4,1]=>[7,3,5,6,2,4,1]=>[1,4,2,6,5,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,7,5,4,1,2,6]=>[1,5,7,3,4,2,6]=>[6,2,4,3,7,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[3,7,5,4,1,6,2]=>[5,7,3,4,6,1,2]=>[2,1,6,4,3,7,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,7,5,4,2,1,6]=>[5,7,3,4,2,1,6]=>[6,1,2,4,3,7,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[3,7,5,4,2,6,1]=>[5,7,3,4,2,6,1]=>[1,6,2,4,3,7,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,7,5,4,6,1,2]=>[1,5,7,3,4,6,2]=>[2,6,4,3,7,5,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,7,5,4,6,2,1]=>[5,7,3,4,6,2,1]=>[1,2,6,4,3,7,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[3,7,5,6,1,2,4]=>[1,3,2,7,5,6,4]=>[4,6,5,7,2,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[3,7,5,6,1,4,2]=>[3,7,1,5,6,4,2]=>[2,4,6,5,1,7,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,5,6,2,1,4]=>[3,2,7,5,6,1,4]=>[4,1,6,5,7,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,7,5,6,2,4,1]=>[3,2,7,5,6,4,1]=>[1,4,6,5,7,2,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,7,5,6,4,1,2]=>[1,7,3,5,6,4,2]=>[2,4,6,5,3,7,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,5,6,4,2,1]=>[7,3,5,6,4,2,1]=>[1,2,4,6,5,3,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[3,7,6,1,2,4,5]=>[1,3,2,7,4,6,5]=>[5,6,4,7,2,3,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[3,7,6,1,2,5,4]=>[7,1,3,6,2,5,4]=>[4,5,2,6,3,1,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,7,6,1,4,2,5]=>[3,1,7,6,4,2,5]=>[5,2,4,6,7,1,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,7,6,1,4,5,2]=>[3,7,1,4,6,5,2]=>[2,5,6,4,1,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,7,6,1,5,2,4]=>[3,1,7,6,2,5,4]=>[4,5,2,6,7,1,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,7,6,1,5,4,2]=>[7,3,6,5,1,4,2]=>[2,4,1,5,6,3,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[3,7,6,2,1,4,5]=>[3,2,7,1,6,4,5]=>[5,4,6,1,7,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[3,7,6,2,1,5,4]=>[7,3,6,2,5,1,4]=>[4,1,5,2,6,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,7,6,2,4,1,5]=>[3,2,7,4,6,1,5]=>[5,1,6,4,7,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[3,7,6,2,4,5,1]=>[3,2,7,4,6,5,1]=>[1,5,6,4,7,2,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,7,6,2,5,1,4]=>[3,2,7,1,6,5,4]=>[4,5,6,1,7,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,7,6,2,5,4,1]=>[7,3,6,2,5,4,1]=>[1,4,5,2,6,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,7,6,4,1,2,5]=>[1,3,7,6,4,2,5]=>[5,2,4,6,7,3,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[3,7,6,4,1,5,2]=>[3,7,6,4,5,1,2]=>[2,1,5,4,6,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,7,6,4,2,1,5]=>[3,7,6,4,2,1,5]=>[5,1,2,4,6,7,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[3,7,6,4,2,5,1]=>[3,7,6,4,2,5,1]=>[1,5,2,4,6,7,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[3,7,6,4,5,1,2]=>[1,3,7,6,4,5,2]=>[2,5,4,6,7,3,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[3,7,6,4,5,2,1]=>[3,7,6,4,5,2,1]=>[1,2,5,4,6,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,7,6,5,1,2,4]=>[1,3,7,6,2,5,4]=>[4,5,2,6,7,3,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[3,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[2,4,1,5,6,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[3,7,6,5,2,1,4]=>[3,7,6,2,5,1,4]=>[4,1,5,2,6,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,7,6,5,2,4,1]=>[3,7,6,2,5,4,1]=>[1,4,5,2,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,7,6,5,4,1,2]=>[1,7,6,5,3,4,2]=>[2,4,3,5,6,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[3,7,6,5,4,2,1]=>[7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,1,2,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[4,1,2,3,5,7,6]=>[7,1,2,4,3,5,6]=>[6,5,3,4,2,1,7]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[4,1,2,3,6,5,7]=>[6,1,2,4,3,5,7]=>[7,5,3,4,2,1,6]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[4,1,2,3,6,7,5]=>[6,1,2,4,3,7,5]=>[5,7,3,4,2,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,1,2,3,7,5,6]=>[1,7,2,4,3,5,6]=>[6,5,3,4,2,7,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[4,1,2,3,7,6,5]=>[7,6,1,2,4,3,5]=>[5,3,4,2,1,6,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[4,1,2,5,3,6,7]=>[4,1,5,2,3,6,7]=>[7,6,3,2,5,1,4]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,1,2,5,3,7,6]=>[7,4,1,5,2,3,6]=>[6,3,2,5,1,4,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,1,2,5,6,3,7]=>[4,1,5,2,6,3,7]=>[7,3,6,2,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,1,2,5,6,7,3]=>[4,1,5,2,6,7,3]=>[3,7,6,2,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,1,2,5,7,3,6]=>[4,1,5,2,3,7,6]=>[6,7,3,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,1,2,5,7,6,3]=>[7,4,1,5,2,6,3]=>[3,6,2,5,1,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,1,2,6,3,5,7]=>[4,1,2,6,3,5,7]=>[7,5,3,6,2,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[4,1,2,6,3,7,5]=>[6,4,1,7,2,3,5]=>[5,3,2,7,1,4,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,1,2,6,5,3,7]=>[6,4,1,5,2,3,7]=>[7,3,2,5,1,4,6]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,1,2,6,5,7,3]=>[6,4,1,5,2,7,3]=>[3,7,2,5,1,4,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[4,1,2,6,7,3,5]=>[4,1,2,6,3,7,5]=>[5,7,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,1,2,6,7,5,3]=>[6,4,1,7,2,5,3]=>[3,5,2,7,1,4,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,1,2,7,3,5,6]=>[4,1,2,3,7,5,6]=>[6,5,7,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[4,1,2,7,3,6,5]=>[7,4,1,2,6,3,5]=>[5,3,6,2,1,4,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[4,1,2,7,5,3,6]=>[4,7,1,5,2,3,6]=>[6,3,2,5,1,7,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,1,2,7,5,6,3]=>[7,1,4,5,2,6,3]=>[3,6,2,5,4,1,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,1,2,7,6,3,5]=>[4,7,1,2,6,3,5]=>[5,3,6,2,1,7,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[4,1,2,7,6,5,3]=>[7,6,4,1,5,2,3]=>[3,2,5,1,4,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,1,3,2,5,6,7]=>[4,1,3,2,5,6,7]=>[7,6,5,2,3,1,4]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[4,1,3,2,5,7,6]=>[7,4,1,3,2,5,6]=>[6,5,2,3,1,4,7]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[4,1,3,2,6,5,7]=>[6,4,1,3,2,5,7]=>[7,5,2,3,1,4,6]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[4,1,3,2,6,7,5]=>[6,4,1,3,2,7,5]=>[5,7,2,3,1,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,1,3,2,7,5,6]=>[4,7,1,3,2,5,6]=>[6,5,2,3,1,7,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[4,1,3,2,7,6,5]=>[7,6,4,1,3,2,5]=>[5,2,3,1,4,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,1,3,5,2,6,7]=>[4,1,3,5,2,6,7]=>[7,6,2,5,3,1,4]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[4,1,3,5,2,7,6]=>[7,4,1,3,5,2,6]=>[6,2,5,3,1,4,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[4,1,3,5,6,2,7]=>[4,1,3,5,6,2,7]=>[7,2,6,5,3,1,4]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[4,1,3,5,6,7,2]=>[4,1,3,5,6,7,2]=>[2,7,6,5,3,1,4]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[4,1,3,5,7,2,6]=>[4,1,3,5,2,7,6]=>[6,7,2,5,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[4,1,3,5,7,6,2]=>[7,4,1,3,5,6,2]=>[2,6,5,3,1,4,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,1,3,6,2,5,7]=>[4,1,3,2,6,5,7]=>[7,5,6,2,3,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[4,1,3,6,2,7,5]=>[6,4,1,3,7,2,5]=>[5,2,7,3,1,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,1,3,6,5,2,7]=>[6,4,1,3,5,2,7]=>[7,2,5,3,1,4,6]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,1,3,6,5,7,2]=>[6,4,1,3,5,7,2]=>[2,7,5,3,1,4,6]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[4,1,3,6,7,2,5]=>[4,1,3,2,6,7,5]=>[5,7,6,2,3,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,1,3,6,7,5,2]=>[6,4,1,3,7,5,2]=>[2,5,7,3,1,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,1,3,7,2,5,6]=>[4,1,3,2,5,7,6]=>[6,7,5,2,3,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[4,1,3,7,2,6,5]=>[7,4,1,3,2,6,5]=>[5,6,2,3,1,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,1,3,7,5,2,6]=>[4,7,1,3,5,2,6]=>[6,2,5,3,1,7,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[4,1,3,7,5,6,2]=>[7,1,4,3,5,6,2]=>[2,6,5,3,4,1,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,1,3,7,6,2,5]=>[4,7,1,3,2,6,5]=>[5,6,2,3,1,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,1,3,7,6,5,2]=>[7,6,4,1,3,5,2]=>[2,5,3,1,4,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,1,5,2,3,6,7]=>[1,4,5,2,3,6,7]=>[7,6,3,2,5,4,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,1,5,2,3,7,6]=>[7,1,4,5,2,3,6]=>[6,3,2,5,4,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,1,5,2,6,3,7]=>[4,5,6,1,2,3,7]=>[7,3,2,1,6,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,1,5,2,6,7,3]=>[4,5,6,1,2,7,3]=>[3,7,2,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,1,5,2,7,3,6]=>[4,5,1,7,2,3,6]=>[6,3,2,7,1,5,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,1,5,2,7,6,3]=>[7,4,5,6,1,2,3]=>[3,2,1,6,5,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,1,5,3,2,6,7]=>[4,5,3,1,2,6,7]=>[7,6,2,1,3,5,4]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[4,1,5,3,2,7,6]=>[7,4,5,3,1,2,6]=>[6,2,1,3,5,4,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[4,1,5,3,6,2,7]=>[4,5,3,1,6,2,7]=>[7,2,6,1,3,5,4]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[4,1,5,3,6,7,2]=>[4,5,3,1,6,7,2]=>[2,7,6,1,3,5,4]=>[[.,.],[[[.,[[.,.],.]],.],.]]
[4,1,5,3,7,2,6]=>[4,5,3,1,2,7,6]=>[6,7,2,1,3,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[4,1,5,3,7,6,2]=>[7,4,5,3,1,6,2]=>[2,6,1,3,5,4,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[4,1,5,6,2,3,7]=>[1,4,5,2,6,3,7]=>[7,3,6,2,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,1,5,6,2,7,3]=>[4,5,6,1,7,2,3]=>[3,2,7,1,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,1,5,6,3,2,7]=>[4,5,6,1,3,2,7]=>[7,2,3,1,6,5,4]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[4,1,5,6,3,7,2]=>[4,5,6,1,3,7,2]=>[2,7,3,1,6,5,4]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[4,1,5,6,7,2,3]=>[1,4,5,2,6,7,3]=>[3,7,6,2,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,1,5,6,7,3,2]=>[4,5,6,1,7,3,2]=>[2,3,7,1,6,5,4]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[4,1,5,7,2,3,6]=>[1,4,5,2,3,7,6]=>[6,7,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,1,5,7,2,6,3]=>[4,5,7,1,2,6,3]=>[3,6,2,1,7,5,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,1,5,7,3,2,6]=>[4,5,1,7,3,2,6]=>[6,2,3,7,1,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[4,1,5,7,3,6,2]=>[4,5,3,1,7,6,2]=>[2,6,7,1,3,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[4,1,5,7,6,2,3]=>[1,7,4,5,2,6,3]=>[3,6,2,5,4,7,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,1,5,7,6,3,2]=>[7,4,5,6,1,3,2]=>[2,3,1,6,5,4,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[4,1,6,2,3,5,7]=>[1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[4,1,6,2,3,7,5]=>[6,1,4,7,2,3,5]=>[5,3,2,7,4,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,1,6,2,5,3,7]=>[4,6,1,5,2,3,7]=>[7,3,2,5,1,6,4]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,1,6,2,5,7,3]=>[4,6,1,5,2,7,3]=>[3,7,2,5,1,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[4,1,6,2,7,3,5]=>[4,1,6,7,2,3,5]=>[5,3,2,7,6,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,1,6,2,7,5,3]=>[6,4,7,5,1,2,3]=>[3,2,1,5,7,4,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,1,6,3,2,5,7]=>[4,3,6,1,2,5,7]=>[7,5,2,1,6,3,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[4,1,6,3,2,7,5]=>[6,4,7,3,1,2,5]=>[5,2,1,3,7,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,1,6,3,5,2,7]=>[4,6,1,3,5,2,7]=>[7,2,5,3,1,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,1,6,3,5,7,2]=>[4,6,1,3,5,7,2]=>[2,7,5,3,1,6,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[4,1,6,3,7,2,5]=>[4,3,6,1,2,7,5]=>[5,7,2,1,6,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,1,6,3,7,5,2]=>[6,4,7,3,1,5,2]=>[2,5,1,3,7,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,1,6,5,2,3,7]=>[1,6,4,5,2,3,7]=>[7,3,2,5,4,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,1,6,5,2,7,3]=>[6,4,5,7,1,2,3]=>[3,2,1,7,5,4,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[4,1,6,5,3,2,7]=>[6,4,5,3,1,2,7]=>[7,2,1,3,5,4,6]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[4,1,6,5,3,7,2]=>[6,4,5,3,1,7,2]=>[2,7,1,3,5,4,6]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[4,1,6,5,7,2,3]=>[1,6,4,5,2,7,3]=>[3,7,2,5,4,6,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[4,1,6,5,7,3,2]=>[6,4,5,7,1,3,2]=>[2,3,1,7,5,4,6]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[4,1,6,7,2,3,5]=>[1,4,2,6,3,7,5]=>[5,7,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,1,6,7,2,5,3]=>[4,6,1,7,2,5,3]=>[3,5,2,7,1,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,1,6,7,3,2,5]=>[4,1,6,7,3,2,5]=>[5,2,3,7,6,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,1,6,7,3,5,2]=>[4,6,1,3,7,5,2]=>[2,5,7,3,1,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,1,6,7,5,2,3]=>[1,6,4,7,2,5,3]=>[3,5,2,7,4,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,1,6,7,5,3,2]=>[6,4,7,5,1,3,2]=>[2,3,1,5,7,4,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[4,1,7,2,3,5,6]=>[1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[4,1,7,2,3,6,5]=>[7,1,4,2,6,3,5]=>[5,3,6,2,4,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[4,1,7,2,5,3,6]=>[4,1,7,5,2,3,6]=>[6,3,2,5,7,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,1,7,2,5,6,3]=>[4,7,1,2,5,6,3]=>[3,6,5,2,1,7,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,1,7,2,6,3,5]=>[4,1,7,2,6,3,5]=>[5,3,6,2,7,1,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[4,1,7,2,6,5,3]=>[7,4,6,1,5,2,3]=>[3,2,5,1,6,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,1,7,3,2,5,6]=>[4,3,1,7,2,5,6]=>[6,5,2,7,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[4,1,7,3,2,6,5]=>[7,4,3,6,1,2,5]=>[5,2,1,6,3,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,1,7,3,5,2,6]=>[4,1,7,3,5,2,6]=>[6,2,5,3,7,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[4,1,7,3,5,6,2]=>[4,3,1,7,5,6,2]=>[2,6,5,7,1,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,1,7,3,6,2,5]=>[4,1,7,3,2,6,5]=>[5,6,2,3,7,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,1,7,3,6,5,2]=>[7,4,6,1,3,5,2]=>[2,5,3,1,6,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,1,7,5,2,3,6]=>[1,4,7,5,2,3,6]=>[6,3,2,5,7,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,1,7,5,2,6,3]=>[4,7,5,6,1,2,3]=>[3,2,1,6,5,7,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,1,7,5,3,2,6]=>[4,7,5,3,1,2,6]=>[6,2,1,3,5,7,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[4,1,7,5,3,6,2]=>[4,7,5,3,1,6,2]=>[2,6,1,3,5,7,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[4,1,7,5,6,2,3]=>[1,4,7,5,2,6,3]=>[3,6,2,5,7,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,1,7,5,6,3,2]=>[4,7,5,6,1,3,2]=>[2,3,1,6,5,7,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[4,1,7,6,2,3,5]=>[1,4,7,2,6,3,5]=>[5,3,6,2,7,4,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[4,1,7,6,2,5,3]=>[4,7,6,1,5,2,3]=>[3,2,5,1,6,7,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,1,7,6,3,2,5]=>[4,7,3,6,1,2,5]=>[5,2,1,6,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,1,7,6,3,5,2]=>[4,7,6,1,3,5,2]=>[2,5,3,1,6,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,1,7,6,5,2,3]=>[1,7,6,4,5,2,3]=>[3,2,5,4,6,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,1,7,6,5,3,2]=>[7,6,4,5,3,1,2]=>[2,1,3,5,4,6,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[4,2,1,3,5,6,7]=>[2,4,1,3,5,6,7]=>[7,6,5,3,1,4,2]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[4,2,1,3,5,7,6]=>[7,2,4,1,3,5,6]=>[6,5,3,1,4,2,7]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[4,2,1,3,6,5,7]=>[6,2,4,1,3,5,7]=>[7,5,3,1,4,2,6]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[4,2,1,3,6,7,5]=>[6,2,4,1,3,7,5]=>[5,7,3,1,4,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,2,1,3,7,5,6]=>[2,7,4,1,3,5,6]=>[6,5,3,1,4,7,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[4,2,1,3,7,6,5]=>[7,6,2,4,1,3,5]=>[5,3,1,4,2,6,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,2,1,5,3,6,7]=>[4,5,2,1,3,6,7]=>[7,6,3,1,2,5,4]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[4,2,1,5,3,7,6]=>[7,4,5,2,1,3,6]=>[6,3,1,2,5,4,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,2,1,5,6,3,7]=>[4,5,2,1,6,3,7]=>[7,3,6,1,2,5,4]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,2,1,5,6,7,3]=>[4,5,2,1,6,7,3]=>[3,7,6,1,2,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,2,1,5,7,3,6]=>[4,5,2,1,3,7,6]=>[6,7,3,1,2,5,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,2,1,5,7,6,3]=>[7,4,5,2,1,6,3]=>[3,6,1,2,5,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,2,1,6,3,5,7]=>[4,2,6,1,3,5,7]=>[7,5,3,1,6,2,4]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[4,2,1,6,3,7,5]=>[6,4,7,2,1,3,5]=>[5,3,1,2,7,4,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,2,1,6,5,3,7]=>[6,4,5,2,1,3,7]=>[7,3,1,2,5,4,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,2,1,6,5,7,3]=>[6,4,5,2,1,7,3]=>[3,7,1,2,5,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[4,2,1,6,7,3,5]=>[4,2,6,1,3,7,5]=>[5,7,3,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,2,1,6,7,5,3]=>[6,4,7,2,1,5,3]=>[3,5,1,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,1,7,3,5,6]=>[4,2,1,7,3,5,6]=>[6,5,3,7,1,2,4]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[4,2,1,7,3,6,5]=>[7,4,2,6,1,3,5]=>[5,3,1,6,2,4,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,2,1,7,5,3,6]=>[4,7,5,2,1,3,6]=>[6,3,1,2,5,7,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,2,1,7,5,6,3]=>[4,7,5,2,1,6,3]=>[3,6,1,2,5,7,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,2,1,7,6,3,5]=>[4,7,2,6,1,3,5]=>[5,3,1,6,2,7,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,2,1,7,6,5,3]=>[7,6,4,5,2,1,3]=>[3,1,2,5,4,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,2,3,1,5,6,7]=>[2,4,3,1,5,6,7]=>[7,6,5,1,3,4,2]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[4,2,3,1,5,7,6]=>[7,2,4,3,1,5,6]=>[6,5,1,3,4,2,7]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[4,2,3,1,6,5,7]=>[6,2,4,3,1,5,7]=>[7,5,1,3,4,2,6]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[4,2,3,1,6,7,5]=>[6,2,4,3,1,7,5]=>[5,7,1,3,4,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[4,2,3,1,7,5,6]=>[2,7,4,3,1,5,6]=>[6,5,1,3,4,7,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[4,2,3,1,7,6,5]=>[7,6,2,4,3,1,5]=>[5,1,3,4,2,6,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,2,3,5,1,6,7]=>[2,4,3,5,1,6,7]=>[7,6,1,5,3,4,2]=>[[[.,[[[.,.],[.,.]],.]],.],.]
[4,2,3,5,1,7,6]=>[7,2,4,3,5,1,6]=>[6,1,5,3,4,2,7]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[4,2,3,5,6,1,7]=>[2,4,3,5,6,1,7]=>[7,1,6,5,3,4,2]=>[[.,[[[[.,.],[.,.]],.],.]],.]
[4,2,3,5,6,7,1]=>[2,4,3,5,6,7,1]=>[1,7,6,5,3,4,2]=>[.,[[[[[.,.],[.,.]],.],.],.]]
[4,2,3,5,7,1,6]=>[2,4,3,5,1,7,6]=>[6,7,1,5,3,4,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[4,2,3,5,7,6,1]=>[7,2,4,3,5,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,2,3,6,1,5,7]=>[2,4,3,1,6,5,7]=>[7,5,6,1,3,4,2]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[4,2,3,6,1,7,5]=>[6,2,4,3,7,1,5]=>[5,1,7,3,4,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[4,2,3,6,5,1,7]=>[6,2,4,3,5,1,7]=>[7,1,5,3,4,2,6]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[4,2,3,6,5,7,1]=>[6,2,4,3,5,7,1]=>[1,7,5,3,4,2,6]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,2,3,6,7,1,5]=>[2,4,3,1,6,7,5]=>[5,7,6,1,3,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[4,2,3,6,7,5,1]=>[6,2,4,3,7,5,1]=>[1,5,7,3,4,2,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,2,3,7,1,5,6]=>[2,4,3,1,5,7,6]=>[6,7,5,1,3,4,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[4,2,3,7,1,6,5]=>[7,2,4,3,1,6,5]=>[5,6,1,3,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,2,3,7,5,1,6]=>[2,7,4,3,5,1,6]=>[6,1,5,3,4,7,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[4,2,3,7,5,6,1]=>[2,7,4,3,5,6,1]=>[1,6,5,3,4,7,2]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,2,3,7,6,1,5]=>[2,7,4,3,1,6,5]=>[5,6,1,3,4,7,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,2,3,7,6,5,1]=>[7,6,2,4,3,5,1]=>[1,5,3,4,2,6,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,2,5,1,3,6,7]=>[2,4,1,5,3,6,7]=>[7,6,3,5,1,4,2]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[4,2,5,1,3,7,6]=>[7,2,4,1,5,3,6]=>[6,3,5,1,4,2,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,2,5,1,6,3,7]=>[4,5,2,6,1,3,7]=>[7,3,1,6,2,5,4]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,2,5,1,6,7,3]=>[4,5,2,6,1,7,3]=>[3,7,1,6,2,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,2,5,1,7,3,6]=>[4,5,2,1,7,3,6]=>[6,3,7,1,2,5,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,2,5,1,7,6,3]=>[7,4,5,2,6,1,3]=>[3,1,6,2,5,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,2,5,3,1,6,7]=>[4,5,2,3,1,6,7]=>[7,6,1,3,2,5,4]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[4,2,5,3,1,7,6]=>[7,4,5,2,3,1,6]=>[6,1,3,2,5,4,7]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[4,2,5,3,6,1,7]=>[4,5,2,3,6,1,7]=>[7,1,6,3,2,5,4]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[4,2,5,3,6,7,1]=>[4,5,2,3,6,7,1]=>[1,7,6,3,2,5,4]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[4,2,5,3,7,1,6]=>[4,5,2,3,1,7,6]=>[6,7,1,3,2,5,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[4,2,5,3,7,6,1]=>[7,4,5,2,3,6,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,2,5,6,1,3,7]=>[2,4,1,5,6,3,7]=>[7,3,6,5,1,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,2,5,6,1,7,3]=>[4,5,2,6,7,1,3]=>[3,1,7,6,2,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,2,5,6,3,1,7]=>[4,5,2,6,3,1,7]=>[7,1,3,6,2,5,4]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[4,2,5,6,3,7,1]=>[4,5,2,6,3,7,1]=>[1,7,3,6,2,5,4]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[4,2,5,6,7,1,3]=>[2,4,1,5,6,7,3]=>[3,7,6,5,1,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,2,5,6,7,3,1]=>[4,5,2,6,7,3,1]=>[1,3,7,6,2,5,4]=>[.,[[.,.],[[[[.,.],.],.],.]]]
[4,2,5,7,1,3,6]=>[2,4,1,5,3,7,6]=>[6,7,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,2,5,7,1,6,3]=>[4,5,2,7,1,6,3]=>[3,6,1,7,2,5,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,2,5,7,3,1,6]=>[4,5,2,3,7,1,6]=>[6,1,7,3,2,5,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[4,2,5,7,3,6,1]=>[4,5,2,3,7,6,1]=>[1,6,7,3,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,2,5,7,6,1,3]=>[2,7,4,1,5,6,3]=>[3,6,5,1,4,7,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,2,5,7,6,3,1]=>[7,4,5,2,6,3,1]=>[1,3,6,2,5,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,2,6,1,3,5,7]=>[2,4,1,3,6,5,7]=>[7,5,6,3,1,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[4,2,6,1,3,7,5]=>[6,2,4,1,7,3,5]=>[5,3,7,1,4,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,2,6,1,5,3,7]=>[4,6,2,1,5,3,7]=>[7,3,5,1,2,6,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,2,6,1,5,7,3]=>[4,6,2,1,5,7,3]=>[3,7,5,1,2,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[4,2,6,1,7,3,5]=>[4,2,6,1,7,3,5]=>[5,3,7,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,2,6,1,7,5,3]=>[6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,6,3,1,5,7]=>[4,2,6,3,1,5,7]=>[7,5,1,3,6,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[4,2,6,3,1,7,5]=>[6,4,7,2,3,1,5]=>[5,1,3,2,7,4,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[4,2,6,3,5,1,7]=>[4,2,6,3,5,1,7]=>[7,1,5,3,6,2,4]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[4,2,6,3,5,7,1]=>[4,2,6,3,5,7,1]=>[1,7,5,3,6,2,4]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,2,6,3,7,1,5]=>[4,2,6,3,1,7,5]=>[5,7,1,3,6,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[4,2,6,3,7,5,1]=>[6,4,7,2,3,5,1]=>[1,5,3,2,7,4,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,2,6,5,1,3,7]=>[2,6,4,1,5,3,7]=>[7,3,5,1,4,6,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,2,6,5,1,7,3]=>[6,4,5,2,7,1,3]=>[3,1,7,2,5,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[4,2,6,5,3,1,7]=>[6,4,5,2,3,1,7]=>[7,1,3,2,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[4,2,6,5,3,7,1]=>[6,4,5,2,3,7,1]=>[1,7,3,2,5,4,6]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[4,2,6,5,7,1,3]=>[2,6,4,1,5,7,3]=>[3,7,5,1,4,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[4,2,6,5,7,3,1]=>[6,4,5,2,7,3,1]=>[1,3,7,2,5,4,6]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[4,2,6,7,1,3,5]=>[2,4,1,3,6,7,5]=>[5,7,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,2,6,7,1,5,3]=>[4,6,2,1,7,5,3]=>[3,5,7,1,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,6,7,3,1,5]=>[4,2,6,3,7,1,5]=>[5,1,7,3,6,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[4,2,6,7,3,5,1]=>[4,2,6,3,7,5,1]=>[1,5,7,3,6,2,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,2,6,7,5,1,3]=>[2,6,4,1,7,5,3]=>[3,5,7,1,4,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,6,7,5,3,1]=>[6,4,7,2,5,3,1]=>[1,3,5,2,7,4,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,2,7,1,3,5,6]=>[2,4,1,3,5,7,6]=>[6,7,5,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[4,2,7,1,3,6,5]=>[7,2,4,1,3,6,5]=>[5,6,3,1,4,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,2,7,1,5,3,6]=>[4,2,7,1,5,3,6]=>[6,3,5,1,7,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,2,7,1,5,6,3]=>[4,5,2,1,7,6,3]=>[3,6,7,1,2,5,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,2,7,1,6,3,5]=>[4,2,7,1,3,6,5]=>[5,6,3,1,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,2,7,1,6,5,3]=>[7,4,6,2,1,5,3]=>[3,5,1,2,6,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,2,7,3,1,5,6]=>[4,2,3,7,1,5,6]=>[6,5,1,7,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[4,2,7,3,1,6,5]=>[7,4,2,6,3,1,5]=>[5,1,3,6,2,4,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,2,7,3,5,1,6]=>[4,2,3,7,5,1,6]=>[6,1,5,7,3,2,4]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[4,2,7,3,5,6,1]=>[4,2,3,7,5,6,1]=>[1,6,5,7,3,2,4]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,2,7,3,6,1,5]=>[4,2,3,7,1,6,5]=>[5,6,1,7,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,2,7,3,6,5,1]=>[7,4,2,6,3,5,1]=>[1,5,3,6,2,4,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,2,7,5,1,3,6]=>[2,4,7,1,5,3,6]=>[6,3,5,1,7,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,2,7,5,1,6,3]=>[4,7,5,2,6,1,3]=>[3,1,6,2,5,7,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,2,7,5,3,1,6]=>[4,7,5,2,3,1,6]=>[6,1,3,2,5,7,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[4,2,7,5,3,6,1]=>[4,7,5,2,3,6,1]=>[1,6,3,2,5,7,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,2,7,5,6,1,3]=>[2,4,7,1,5,6,3]=>[3,6,5,1,7,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,2,7,5,6,3,1]=>[4,7,5,2,6,3,1]=>[1,3,6,2,5,7,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,2,7,6,1,3,5]=>[2,4,7,1,3,6,5]=>[5,6,3,1,7,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,2,7,6,1,5,3]=>[4,7,6,2,1,5,3]=>[3,5,1,2,6,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,2,7,6,3,1,5]=>[4,7,2,6,3,1,5]=>[5,1,3,6,2,7,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,2,7,6,3,5,1]=>[4,7,2,6,3,5,1]=>[1,5,3,6,2,7,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,2,7,6,5,1,3]=>[2,7,6,4,1,5,3]=>[3,5,1,4,6,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,2,7,6,5,3,1]=>[7,6,4,5,2,3,1]=>[1,3,2,5,4,6,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,3,1,2,5,6,7]=>[1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[4,3,1,2,5,7,6]=>[7,1,4,3,2,5,6]=>[6,5,2,3,4,1,7]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[4,3,1,2,6,5,7]=>[6,1,4,3,2,5,7]=>[7,5,2,3,4,1,6]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[4,3,1,2,6,7,5]=>[6,1,4,3,2,7,5]=>[5,7,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,3,1,2,7,5,6]=>[1,7,4,3,2,5,6]=>[6,5,2,3,4,7,1]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[4,3,1,2,7,6,5]=>[7,6,1,4,3,2,5]=>[5,2,3,4,1,6,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,3,1,5,2,6,7]=>[4,3,5,1,2,6,7]=>[7,6,2,1,5,3,4]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[4,3,1,5,2,7,6]=>[7,4,3,5,1,2,6]=>[6,2,1,5,3,4,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[4,3,1,5,6,2,7]=>[4,3,5,1,6,2,7]=>[7,2,6,1,5,3,4]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[4,3,1,5,6,7,2]=>[4,3,5,1,6,7,2]=>[2,7,6,1,5,3,4]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[4,3,1,5,7,2,6]=>[4,3,5,1,2,7,6]=>[6,7,2,1,5,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[4,3,1,5,7,6,2]=>[7,4,3,5,1,6,2]=>[2,6,1,5,3,4,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,3,1,6,2,5,7]=>[4,3,1,6,2,5,7]=>[7,5,2,6,1,3,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[4,3,1,6,2,7,5]=>[6,4,3,7,1,2,5]=>[5,2,1,7,3,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,3,1,6,5,2,7]=>[6,4,3,5,1,2,7]=>[7,2,1,5,3,4,6]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,3,1,6,5,7,2]=>[6,4,3,5,1,7,2]=>[2,7,1,5,3,4,6]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[4,3,1,6,7,2,5]=>[4,3,1,6,2,7,5]=>[5,7,2,6,1,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,3,1,6,7,5,2]=>[6,4,3,7,1,5,2]=>[2,5,1,7,3,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,3,1,7,2,5,6]=>[4,3,1,2,7,5,6]=>[6,5,7,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[4,3,1,7,2,6,5]=>[7,4,3,1,6,2,5]=>[5,2,6,1,3,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,3,1,7,5,2,6]=>[4,7,3,5,1,2,6]=>[6,2,1,5,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[4,3,1,7,5,6,2]=>[4,7,3,5,1,6,2]=>[2,6,1,5,3,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,3,1,7,6,2,5]=>[4,7,3,1,6,2,5]=>[5,2,6,1,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,3,1,7,6,5,2]=>[7,6,4,3,5,1,2]=>[2,1,5,3,4,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[4,3,2,1,5,7,6]=>[7,4,3,2,1,5,6]=>[6,5,1,2,3,4,7]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[4,3,2,1,6,5,7]=>[6,4,3,2,1,5,7]=>[7,5,1,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,3,2,1,6,7,5]=>[6,4,3,2,1,7,5]=>[5,7,1,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,3,2,1,7,5,6]=>[4,7,3,2,1,5,6]=>[6,5,1,2,3,7,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[4,3,2,1,7,6,5]=>[7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,3,2,5,1,6,7]=>[4,3,2,5,1,6,7]=>[7,6,1,5,2,3,4]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[4,3,2,5,1,7,6]=>[7,4,3,2,5,1,6]=>[6,1,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[4,3,2,5,6,1,7]=>[4,3,2,5,6,1,7]=>[7,1,6,5,2,3,4]=>[[.,[[[.,[.,[.,.]]],.],.]],.]
[4,3,2,5,6,7,1]=>[4,3,2,5,6,7,1]=>[1,7,6,5,2,3,4]=>[.,[[[[.,[.,[.,.]]],.],.],.]]
[4,3,2,5,7,1,6]=>[4,3,2,5,1,7,6]=>[6,7,1,5,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[4,3,2,5,7,6,1]=>[7,4,3,2,5,6,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,3,2,6,1,5,7]=>[4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,3,2,6,1,7,5]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,3,2,6,5,1,7]=>[6,4,3,2,5,1,7]=>[7,1,5,2,3,4,6]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,3,2,6,5,7,1]=>[6,4,3,2,5,7,1]=>[1,7,5,2,3,4,6]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[4,3,2,6,7,1,5]=>[4,3,2,1,6,7,5]=>[5,7,6,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,3,2,6,7,5,1]=>[6,4,3,2,7,5,1]=>[1,5,7,2,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,3,2,7,1,5,6]=>[4,3,2,1,5,7,6]=>[6,7,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[4,3,2,7,1,6,5]=>[7,4,3,2,1,6,5]=>[5,6,1,2,3,4,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,3,2,7,5,1,6]=>[4,7,3,2,5,1,6]=>[6,1,5,2,3,7,4]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[4,3,2,7,5,6,1]=>[4,7,3,2,5,6,1]=>[1,6,5,2,3,7,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,3,2,7,6,1,5]=>[4,7,3,2,1,6,5]=>[5,6,1,2,3,7,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,3,2,7,6,5,1]=>[7,6,4,3,2,5,1]=>[1,5,2,3,4,6,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,3,5,1,2,6,7]=>[1,4,3,5,2,6,7]=>[7,6,2,5,3,4,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[4,3,5,1,2,7,6]=>[7,1,4,3,5,2,6]=>[6,2,5,3,4,1,7]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[4,3,5,1,6,2,7]=>[4,3,5,6,1,2,7]=>[7,2,1,6,5,3,4]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[4,3,5,1,6,7,2]=>[4,3,5,6,1,7,2]=>[2,7,1,6,5,3,4]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[4,3,5,1,7,2,6]=>[4,3,5,1,7,2,6]=>[6,2,7,1,5,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[4,3,5,1,7,6,2]=>[7,4,3,5,6,1,2]=>[2,1,6,5,3,4,7]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,3,5,2,1,6,7]=>[4,3,5,2,1,6,7]=>[7,6,1,2,5,3,4]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[4,3,5,2,1,7,6]=>[7,4,3,5,2,1,6]=>[6,1,2,5,3,4,7]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]
[4,3,5,2,6,1,7]=>[4,3,5,2,6,1,7]=>[7,1,6,2,5,3,4]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[4,3,5,2,6,7,1]=>[4,3,5,2,6,7,1]=>[1,7,6,2,5,3,4]=>[.,[[[.,[[.,[.,.]],.]],.],.]]
[4,3,5,2,7,1,6]=>[4,3,5,2,1,7,6]=>[6,7,1,2,5,3,4]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]
[4,3,5,2,7,6,1]=>[7,4,3,5,2,6,1]=>[1,6,2,5,3,4,7]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[4,3,5,6,1,2,7]=>[1,4,3,5,6,2,7]=>[7,2,6,5,3,4,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[4,3,5,6,1,7,2]=>[4,3,5,6,7,1,2]=>[2,1,7,6,5,3,4]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[4,3,5,6,2,1,7]=>[4,3,5,6,2,1,7]=>[7,1,2,6,5,3,4]=>[[.,[.,[[[.,[.,.]],.],.]]],.]
[4,3,5,6,2,7,1]=>[4,3,5,6,2,7,1]=>[1,7,2,6,5,3,4]=>[.,[[.,[[[.,[.,.]],.],.]],.]]
[4,3,5,6,7,1,2]=>[1,4,3,5,6,7,2]=>[2,7,6,5,3,4,1]=>[[.,.],[[[[.,[.,.]],.],.],.]]
[4,3,5,6,7,2,1]=>[4,3,5,6,7,2,1]=>[1,2,7,6,5,3,4]=>[.,[.,[[[[.,[.,.]],.],.],.]]]
[4,3,5,7,1,2,6]=>[1,4,3,5,2,7,6]=>[6,7,2,5,3,4,1]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[4,3,5,7,1,6,2]=>[4,3,5,7,1,6,2]=>[2,6,1,7,5,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,3,5,7,2,1,6]=>[4,3,5,2,7,1,6]=>[6,1,7,2,5,3,4]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]
[4,3,5,7,2,6,1]=>[4,3,5,2,7,6,1]=>[1,6,7,2,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[4,3,5,7,6,1,2]=>[1,7,4,3,5,6,2]=>[2,6,5,3,4,7,1]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,3,5,7,6,2,1]=>[7,4,3,5,6,2,1]=>[1,2,6,5,3,4,7]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,3,6,1,2,5,7]=>[1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[4,3,6,1,2,7,5]=>[6,1,4,3,7,2,5]=>[5,2,7,3,4,1,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,3,6,1,5,2,7]=>[4,3,6,1,5,2,7]=>[7,2,5,1,6,3,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,3,6,1,5,7,2]=>[4,3,6,1,5,7,2]=>[2,7,5,1,6,3,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[4,3,6,1,7,2,5]=>[4,3,1,6,7,2,5]=>[5,2,7,6,1,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,3,6,1,7,5,2]=>[6,4,3,7,5,1,2]=>[2,1,5,7,3,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,3,6,2,1,5,7]=>[4,3,2,6,1,5,7]=>[7,5,1,6,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,3,6,2,1,7,5]=>[6,4,3,7,2,1,5]=>[5,1,2,7,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,3,6,2,5,1,7]=>[4,3,2,6,5,1,7]=>[7,1,5,6,2,3,4]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,3,6,2,5,7,1]=>[4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[4,3,6,2,7,1,5]=>[4,3,2,6,1,7,5]=>[5,7,1,6,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,3,6,2,7,5,1]=>[6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,3,6,5,1,2,7]=>[1,6,4,3,5,2,7]=>[7,2,5,3,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,3,6,5,1,7,2]=>[6,4,3,5,7,1,2]=>[2,1,7,5,3,4,6]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[4,3,6,5,2,1,7]=>[6,4,3,5,2,1,7]=>[7,1,2,5,3,4,6]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[4,3,6,5,2,7,1]=>[6,4,3,5,2,7,1]=>[1,7,2,5,3,4,6]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,3,6,5,7,1,2]=>[1,6,4,3,5,7,2]=>[2,7,5,3,4,6,1]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[4,3,6,5,7,2,1]=>[6,4,3,5,7,2,1]=>[1,2,7,5,3,4,6]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[4,3,6,7,1,2,5]=>[1,4,3,2,6,7,5]=>[5,7,6,2,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,3,6,7,1,5,2]=>[4,3,6,1,7,5,2]=>[2,5,7,1,6,3,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,3,6,7,2,1,5]=>[4,3,2,6,7,1,5]=>[5,1,7,6,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,3,6,7,2,5,1]=>[4,3,2,6,7,5,1]=>[1,5,7,6,2,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,3,6,7,5,1,2]=>[1,6,4,3,7,5,2]=>[2,5,7,3,4,6,1]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,3,6,7,5,2,1]=>[6,4,3,7,5,2,1]=>[1,2,5,7,3,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,3,7,1,2,5,6]=>[1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[4,3,7,1,2,6,5]=>[7,1,4,3,2,6,5]=>[5,6,2,3,4,1,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,3,7,1,5,2,6]=>[4,3,1,7,5,2,6]=>[6,2,5,7,1,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[4,3,7,1,5,6,2]=>[4,3,5,1,7,6,2]=>[2,6,7,1,5,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,3,7,1,6,2,5]=>[4,3,1,7,2,6,5]=>[5,6,2,7,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,3,7,1,6,5,2]=>[7,4,3,6,1,5,2]=>[2,5,1,6,3,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,3,7,2,1,5,6]=>[4,3,2,1,7,5,6]=>[6,5,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[4,3,7,2,1,6,5]=>[7,4,3,2,6,1,5]=>[5,1,6,2,3,4,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,3,7,2,5,1,6]=>[4,3,2,5,7,1,6]=>[6,1,7,5,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[4,3,7,2,5,6,1]=>[4,3,2,5,7,6,1]=>[1,6,7,5,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,3,7,2,6,1,5]=>[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,3,7,2,6,5,1]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,3,7,5,1,2,6]=>[1,4,7,3,5,2,6]=>[6,2,5,3,7,4,1]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[4,3,7,5,1,6,2]=>[4,7,3,5,6,1,2]=>[2,1,6,5,3,7,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,3,7,5,2,1,6]=>[4,7,3,5,2,1,6]=>[6,1,2,5,3,7,4]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]
[4,3,7,5,2,6,1]=>[4,7,3,5,2,6,1]=>[1,6,2,5,3,7,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[4,3,7,5,6,1,2]=>[1,4,7,3,5,6,2]=>[2,6,5,3,7,4,1]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,3,7,5,6,2,1]=>[4,7,3,5,6,2,1]=>[1,2,6,5,3,7,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,3,7,6,1,2,5]=>[1,4,7,3,2,6,5]=>[5,6,2,3,7,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,3,7,6,1,5,2]=>[4,7,3,6,1,5,2]=>[2,5,1,6,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,3,7,6,2,1,5]=>[4,7,3,2,6,1,5]=>[5,1,6,2,3,7,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,3,7,6,2,5,1]=>[4,7,3,2,6,5,1]=>[1,5,6,2,3,7,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,3,7,6,5,1,2]=>[1,7,6,4,3,5,2]=>[2,5,3,4,6,7,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,3,7,6,5,2,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,5,1,2,3,6,7]=>[1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[4,5,1,2,3,7,6]=>[7,1,2,4,5,3,6]=>[6,3,5,4,2,1,7]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,5,1,2,6,3,7]=>[4,1,5,6,2,3,7]=>[7,3,2,6,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,5,1,2,6,7,3]=>[4,1,5,6,2,7,3]=>[3,7,2,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,5,1,2,7,3,6]=>[4,1,5,2,7,3,6]=>[6,3,7,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,5,1,2,7,6,3]=>[7,4,1,5,6,2,3]=>[3,2,6,5,1,4,7]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,5,1,3,2,6,7]=>[4,1,5,3,2,6,7]=>[7,6,2,3,5,1,4]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[4,5,1,3,2,7,6]=>[7,4,1,5,3,2,6]=>[6,2,3,5,1,4,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[4,5,1,3,6,2,7]=>[4,1,5,3,6,2,7]=>[7,2,6,3,5,1,4]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[4,5,1,3,6,7,2]=>[4,1,5,3,6,7,2]=>[2,7,6,3,5,1,4]=>[[.,.],[[[.,[[.,.],.]],.],.]]
[4,5,1,3,7,2,6]=>[4,1,5,3,2,7,6]=>[6,7,2,3,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[4,5,1,3,7,6,2]=>[7,4,1,5,3,6,2]=>[2,6,3,5,1,4,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[4,5,1,6,2,3,7]=>[1,4,5,6,2,3,7]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,5,1,6,2,7,3]=>[4,5,6,7,1,2,3]=>[3,2,1,7,6,5,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,5,1,6,3,2,7]=>[4,5,6,3,1,2,7]=>[7,2,1,3,6,5,4]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[4,5,1,6,3,7,2]=>[4,5,6,3,1,7,2]=>[2,7,1,3,6,5,4]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[4,5,1,6,7,2,3]=>[1,4,5,6,2,7,3]=>[3,7,2,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,5,1,6,7,3,2]=>[4,5,6,7,1,3,2]=>[2,3,1,7,6,5,4]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[4,5,1,7,2,3,6]=>[1,4,5,2,7,3,6]=>[6,3,7,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,5,1,7,2,6,3]=>[4,5,7,1,6,2,3]=>[3,2,6,1,7,5,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,5,1,7,3,2,6]=>[4,5,3,7,1,2,6]=>[6,2,1,7,3,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[4,5,1,7,3,6,2]=>[4,5,7,1,3,6,2]=>[2,6,3,1,7,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[4,5,1,7,6,2,3]=>[1,7,4,5,6,2,3]=>[3,2,6,5,4,7,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,5,1,7,6,3,2]=>[7,4,5,6,3,1,2]=>[2,1,3,6,5,4,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[4,5,2,1,3,6,7]=>[2,4,5,1,3,6,7]=>[7,6,3,1,5,4,2]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[4,5,2,1,3,7,6]=>[7,2,4,5,1,3,6]=>[6,3,1,5,4,2,7]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,5,2,1,6,3,7]=>[4,5,6,2,1,3,7]=>[7,3,1,2,6,5,4]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,5,2,1,6,7,3]=>[4,5,6,2,1,7,3]=>[3,7,1,2,6,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,2,1,7,3,6]=>[4,5,2,7,1,3,6]=>[6,3,1,7,2,5,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,5,2,1,7,6,3]=>[7,4,5,6,2,1,3]=>[3,1,2,6,5,4,7]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,5,2,3,1,6,7]=>[2,4,5,3,1,6,7]=>[7,6,1,3,5,4,2]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[4,5,2,3,1,7,6]=>[7,2,4,5,3,1,6]=>[6,1,3,5,4,2,7]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[4,5,2,3,6,1,7]=>[2,4,5,3,6,1,7]=>[7,1,6,3,5,4,2]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[4,5,2,3,6,7,1]=>[2,4,5,3,6,7,1]=>[1,7,6,3,5,4,2]=>[.,[[[[.,.],[[.,.],.]],.],.]]
[4,5,2,3,7,1,6]=>[2,4,5,3,1,7,6]=>[6,7,1,3,5,4,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[4,5,2,3,7,6,1]=>[7,2,4,5,3,6,1]=>[1,6,3,5,4,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,5,2,6,1,3,7]=>[2,4,5,1,6,3,7]=>[7,3,6,1,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,5,2,6,1,7,3]=>[4,5,6,2,7,1,3]=>[3,1,7,2,6,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,2,6,3,1,7]=>[4,5,6,2,3,1,7]=>[7,1,3,2,6,5,4]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[4,5,2,6,3,7,1]=>[4,5,6,2,3,7,1]=>[1,7,3,2,6,5,4]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[4,5,2,6,7,1,3]=>[2,4,5,1,6,7,3]=>[3,7,6,1,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,2,6,7,3,1]=>[4,5,6,2,7,3,1]=>[1,3,7,2,6,5,4]=>[.,[[.,.],[[[[.,.],.],.],.]]]
[4,5,2,7,1,3,6]=>[2,4,5,1,3,7,6]=>[6,7,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,5,2,7,1,6,3]=>[4,5,7,2,1,6,3]=>[3,6,1,2,7,5,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,5,2,7,3,1,6]=>[4,5,2,7,3,1,6]=>[6,1,3,7,2,5,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[4,5,2,7,3,6,1]=>[4,5,2,7,3,6,1]=>[1,6,3,7,2,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,5,2,7,6,1,3]=>[2,7,4,5,1,6,3]=>[3,6,1,5,4,7,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,5,2,7,6,3,1]=>[7,4,5,6,2,3,1]=>[1,3,2,6,5,4,7]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,5,3,1,2,6,7]=>[1,4,5,3,2,6,7]=>[7,6,2,3,5,4,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[4,5,3,1,2,7,6]=>[7,1,4,5,3,2,6]=>[6,2,3,5,4,1,7]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[4,5,3,1,6,2,7]=>[4,5,3,6,1,2,7]=>[7,2,1,6,3,5,4]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[4,5,3,1,6,7,2]=>[4,5,3,6,1,7,2]=>[2,7,1,6,3,5,4]=>[[.,.],[[[.,[[.,.],.]],.],.]]
[4,5,3,1,7,2,6]=>[4,5,3,1,7,2,6]=>[6,2,7,1,3,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[4,5,3,1,7,6,2]=>[7,4,5,3,6,1,2]=>[2,1,6,3,5,4,7]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[4,5,3,2,1,6,7]=>[4,5,3,2,1,6,7]=>[7,6,1,2,3,5,4]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[4,5,3,2,1,7,6]=>[7,4,5,3,2,1,6]=>[6,1,2,3,5,4,7]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[4,5,3,2,6,1,7]=>[4,5,3,2,6,1,7]=>[7,1,6,2,3,5,4]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[4,5,3,2,6,7,1]=>[4,5,3,2,6,7,1]=>[1,7,6,2,3,5,4]=>[.,[[[.,[.,[[.,.],.]]],.],.]]
[4,5,3,2,7,1,6]=>[4,5,3,2,1,7,6]=>[6,7,1,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[4,5,3,2,7,6,1]=>[7,4,5,3,2,6,1]=>[1,6,2,3,5,4,7]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[4,5,3,6,1,2,7]=>[1,4,5,3,6,2,7]=>[7,2,6,3,5,4,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[4,5,3,6,1,7,2]=>[4,5,3,6,7,1,2]=>[2,1,7,6,3,5,4]=>[[.,.],[[[.,[[.,.],.]],.],.]]
[4,5,3,6,2,1,7]=>[4,5,3,6,2,1,7]=>[7,1,2,6,3,5,4]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[4,5,3,6,2,7,1]=>[4,5,3,6,2,7,1]=>[1,7,2,6,3,5,4]=>[.,[[.,[[.,[[.,.],.]],.]],.]]
[4,5,3,6,7,1,2]=>[1,4,5,3,6,7,2]=>[2,7,6,3,5,4,1]=>[[.,.],[[[.,[[.,.],.]],.],.]]
[4,5,3,6,7,2,1]=>[4,5,3,6,7,2,1]=>[1,2,7,6,3,5,4]=>[.,[.,[[[.,[[.,.],.]],.],.]]]
[4,5,3,7,1,2,6]=>[1,4,5,3,2,7,6]=>[6,7,2,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[4,5,3,7,1,6,2]=>[4,5,3,7,1,6,2]=>[2,6,1,7,3,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[4,5,3,7,2,1,6]=>[4,5,3,2,7,1,6]=>[6,1,7,2,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[4,5,3,7,2,6,1]=>[4,5,3,2,7,6,1]=>[1,6,7,2,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[4,5,3,7,6,1,2]=>[1,7,4,5,3,6,2]=>[2,6,3,5,4,7,1]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[4,5,3,7,6,2,1]=>[7,4,5,3,6,2,1]=>[1,2,6,3,5,4,7]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[4,5,6,1,2,3,7]=>[1,2,4,5,6,3,7]=>[7,3,6,5,4,2,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,5,6,1,2,7,3]=>[4,1,5,6,7,2,3]=>[3,2,7,6,5,1,4]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,5,6,1,3,2,7]=>[4,1,5,6,3,2,7]=>[7,2,3,6,5,1,4]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[4,5,6,1,3,7,2]=>[4,1,5,6,3,7,2]=>[2,7,3,6,5,1,4]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[4,5,6,1,7,2,3]=>[1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,5,6,1,7,3,2]=>[4,5,6,7,3,1,2]=>[2,1,3,7,6,5,4]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[4,5,6,2,1,3,7]=>[2,4,5,6,1,3,7]=>[7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,5,6,2,1,7,3]=>[4,5,6,7,2,1,3]=>[3,1,2,7,6,5,4]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,6,2,3,1,7]=>[2,4,5,6,3,1,7]=>[7,1,3,6,5,4,2]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[4,5,6,2,3,7,1]=>[2,4,5,6,3,7,1]=>[1,7,3,6,5,4,2]=>[.,[[[.,.],[[[.,.],.],.]],.]]
[4,5,6,2,7,1,3]=>[2,4,5,6,1,7,3]=>[3,7,1,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,6,2,7,3,1]=>[4,5,6,7,2,3,1]=>[1,3,2,7,6,5,4]=>[.,[[.,.],[[[[.,.],.],.],.]]]
[4,5,6,3,1,2,7]=>[1,4,5,6,3,2,7]=>[7,2,3,6,5,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[4,5,6,3,1,7,2]=>[4,5,6,3,7,1,2]=>[2,1,7,3,6,5,4]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[4,5,6,3,2,1,7]=>[4,5,6,3,2,1,7]=>[7,1,2,3,6,5,4]=>[[.,[.,[.,[[[.,.],.],.]]]],.]
[4,5,6,3,2,7,1]=>[4,5,6,3,2,7,1]=>[1,7,2,3,6,5,4]=>[.,[[.,[.,[[[.,.],.],.]]],.]]
[4,5,6,3,7,1,2]=>[1,4,5,6,3,7,2]=>[2,7,3,6,5,4,1]=>[[.,.],[[.,[[[.,.],.],.]],.]]
[4,5,6,3,7,2,1]=>[4,5,6,3,7,2,1]=>[1,2,7,3,6,5,4]=>[.,[.,[[.,[[[.,.],.],.]],.]]]
[4,5,6,7,1,2,3]=>[1,2,4,5,6,7,3]=>[3,7,6,5,4,2,1]=>[[[.,.],.],[[[[.,.],.],.],.]]
[4,5,6,7,1,3,2]=>[4,1,5,6,7,3,2]=>[2,3,7,6,5,1,4]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[4,5,6,7,2,1,3]=>[2,4,5,6,7,1,3]=>[3,1,7,6,5,4,2]=>[[.,[.,.]],[[[[.,.],.],.],.]]
[4,5,6,7,2,3,1]=>[2,4,5,6,7,3,1]=>[1,3,7,6,5,4,2]=>[.,[[.,.],[[[[.,.],.],.],.]]]
[4,5,6,7,3,1,2]=>[1,4,5,6,7,3,2]=>[2,3,7,6,5,4,1]=>[[.,.],[.,[[[[.,.],.],.],.]]]
[4,5,6,7,3,2,1]=>[4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4]=>[.,[.,[.,[[[[.,.],.],.],.]]]]
[4,5,7,1,2,3,6]=>[1,2,4,5,3,7,6]=>[6,7,3,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,5,7,1,2,6,3]=>[4,1,5,7,2,6,3]=>[3,6,2,7,5,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,5,7,1,3,2,6]=>[4,1,5,3,7,2,6]=>[6,2,7,3,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[4,5,7,1,3,6,2]=>[4,1,5,3,7,6,2]=>[2,6,7,3,5,1,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[4,5,7,1,6,2,3]=>[1,4,5,7,2,6,3]=>[3,6,2,7,5,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,5,7,1,6,3,2]=>[4,5,7,6,1,3,2]=>[2,3,1,6,7,5,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[4,5,7,2,1,3,6]=>[2,4,5,1,7,3,6]=>[6,3,7,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,5,7,2,1,6,3]=>[4,5,7,2,6,1,3]=>[3,1,6,2,7,5,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,5,7,2,3,1,6]=>[2,4,5,3,7,1,6]=>[6,1,7,3,5,4,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[4,5,7,2,3,6,1]=>[2,4,5,3,7,6,1]=>[1,6,7,3,5,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,5,7,2,6,1,3]=>[2,4,5,1,7,6,3]=>[3,6,7,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,5,7,2,6,3,1]=>[4,5,7,2,6,3,1]=>[1,3,6,2,7,5,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,5,7,3,1,2,6]=>[1,4,5,3,7,2,6]=>[6,2,7,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[4,5,7,3,1,6,2]=>[4,5,3,7,6,1,2]=>[2,1,6,7,3,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[4,5,7,3,2,1,6]=>[4,5,3,7,2,1,6]=>[6,1,2,7,3,5,4]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[4,5,7,3,2,6,1]=>[4,5,3,7,2,6,1]=>[1,6,2,7,3,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[4,5,7,3,6,1,2]=>[1,4,5,3,7,6,2]=>[2,6,7,3,5,4,1]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[4,5,7,3,6,2,1]=>[4,5,3,7,6,2,1]=>[1,2,6,7,3,5,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[4,5,7,6,1,2,3]=>[1,2,7,4,5,6,3]=>[3,6,5,4,7,2,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,5,7,6,1,3,2]=>[7,1,4,5,6,3,2]=>[2,3,6,5,4,1,7]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[4,5,7,6,2,1,3]=>[2,7,4,5,6,1,3]=>[3,1,6,5,4,7,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,5,7,6,2,3,1]=>[2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,5,7,6,3,1,2]=>[1,7,4,5,6,3,2]=>[2,3,6,5,4,7,1]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[4,5,7,6,3,2,1]=>[7,4,5,6,3,2,1]=>[1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[4,6,1,2,3,5,7]=>[1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[4,6,1,2,3,7,5]=>[6,1,2,4,7,3,5]=>[5,3,7,4,2,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,6,1,2,5,3,7]=>[4,1,6,2,5,3,7]=>[7,3,5,2,6,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,6,1,2,5,7,3]=>[4,1,6,2,5,7,3]=>[3,7,5,2,6,1,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[4,6,1,2,7,3,5]=>[4,1,2,6,7,3,5]=>[5,3,7,6,2,1,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,6,1,2,7,5,3]=>[6,4,1,7,5,2,3]=>[3,2,5,7,1,4,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,6,1,3,2,5,7]=>[4,1,3,6,2,5,7]=>[7,5,2,6,3,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[4,6,1,3,2,7,5]=>[6,4,1,7,3,2,5]=>[5,2,3,7,1,4,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,6,1,3,5,2,7]=>[4,1,3,6,5,2,7]=>[7,2,5,6,3,1,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,6,1,3,5,7,2]=>[4,1,3,6,5,7,2]=>[2,7,5,6,3,1,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[4,6,1,3,7,2,5]=>[4,1,3,6,2,7,5]=>[5,7,2,6,3,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,6,1,3,7,5,2]=>[6,4,1,7,3,5,2]=>[2,5,3,7,1,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,6,1,5,2,3,7]=>[1,4,6,2,5,3,7]=>[7,3,5,2,6,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,6,1,5,2,7,3]=>[4,6,5,1,7,2,3]=>[3,2,7,1,5,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[4,6,1,5,3,2,7]=>[4,6,5,1,3,2,7]=>[7,2,3,1,5,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[4,6,1,5,3,7,2]=>[4,6,5,1,3,7,2]=>[2,7,3,1,5,6,4]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[4,6,1,5,7,2,3]=>[1,4,6,2,5,7,3]=>[3,7,5,2,6,4,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[4,6,1,5,7,3,2]=>[4,6,5,1,7,3,2]=>[2,3,7,1,5,6,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[4,6,1,7,2,3,5]=>[1,4,2,6,7,3,5]=>[5,3,7,6,2,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,6,1,7,2,5,3]=>[4,6,1,7,5,2,3]=>[3,2,5,7,1,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,6,1,7,3,2,5]=>[4,3,6,7,1,2,5]=>[5,2,1,7,6,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,6,1,7,3,5,2]=>[4,6,1,7,3,5,2]=>[2,5,3,7,1,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,6,1,7,5,2,3]=>[1,6,4,7,5,2,3]=>[3,2,5,7,4,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,6,1,7,5,3,2]=>[6,4,7,5,3,1,2]=>[2,1,3,5,7,4,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[4,6,2,1,3,5,7]=>[2,4,1,6,3,5,7]=>[7,5,3,6,1,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[4,6,2,1,3,7,5]=>[6,2,4,7,1,3,5]=>[5,3,1,7,4,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,6,2,1,5,3,7]=>[4,6,2,5,1,3,7]=>[7,3,1,5,2,6,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,2,1,5,7,3]=>[4,6,2,5,1,7,3]=>[3,7,1,5,2,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[4,6,2,1,7,3,5]=>[4,2,6,7,1,3,5]=>[5,3,1,7,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,6,2,1,7,5,3]=>[6,4,7,5,2,1,3]=>[3,1,2,5,7,4,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,6,2,3,1,5,7]=>[2,4,3,6,1,5,7]=>[7,5,1,6,3,4,2]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[4,6,2,3,1,7,5]=>[6,2,4,7,3,1,5]=>[5,1,3,7,4,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[4,6,2,3,5,1,7]=>[2,4,3,6,5,1,7]=>[7,1,5,6,3,4,2]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[4,6,2,3,5,7,1]=>[2,4,3,6,5,7,1]=>[1,7,5,6,3,4,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[4,6,2,3,7,1,5]=>[2,4,3,6,1,7,5]=>[5,7,1,6,3,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[4,6,2,3,7,5,1]=>[6,2,4,7,3,5,1]=>[1,5,3,7,4,2,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,6,2,5,1,3,7]=>[2,4,1,6,5,3,7]=>[7,3,5,6,1,4,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,2,5,1,7,3]=>[4,6,2,5,7,1,3]=>[3,1,7,5,2,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[4,6,2,5,3,1,7]=>[4,6,2,5,3,1,7]=>[7,1,3,5,2,6,4]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[4,6,2,5,3,7,1]=>[4,6,2,5,3,7,1]=>[1,7,3,5,2,6,4]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[4,6,2,5,7,1,3]=>[2,4,1,6,5,7,3]=>[3,7,5,6,1,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[4,6,2,5,7,3,1]=>[4,6,2,5,7,3,1]=>[1,3,7,5,2,6,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[4,6,2,7,1,3,5]=>[2,4,1,6,3,7,5]=>[5,7,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,6,2,7,1,5,3]=>[4,6,2,7,1,5,3]=>[3,5,1,7,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,6,2,7,3,1,5]=>[4,2,6,7,3,1,5]=>[5,1,3,7,6,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[4,6,2,7,3,5,1]=>[4,2,6,7,3,5,1]=>[1,5,3,7,6,2,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,6,2,7,5,1,3]=>[2,6,4,7,1,5,3]=>[3,5,1,7,4,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,6,2,7,5,3,1]=>[6,4,7,5,2,3,1]=>[1,3,2,5,7,4,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,6,3,1,2,5,7]=>[1,4,3,6,2,5,7]=>[7,5,2,6,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[4,6,3,1,2,7,5]=>[6,1,4,7,3,2,5]=>[5,2,3,7,4,1,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,6,3,1,5,2,7]=>[4,3,6,5,1,2,7]=>[7,2,1,5,6,3,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,6,3,1,5,7,2]=>[4,3,6,5,1,7,2]=>[2,7,1,5,6,3,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[4,6,3,1,7,2,5]=>[4,3,6,1,7,2,5]=>[5,2,7,1,6,3,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,6,3,1,7,5,2]=>[6,4,7,3,5,1,2]=>[2,1,5,3,7,4,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,6,3,2,1,5,7]=>[4,3,6,2,1,5,7]=>[7,5,1,2,6,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,6,3,2,1,7,5]=>[6,4,7,3,2,1,5]=>[5,1,2,3,7,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,6,3,2,5,1,7]=>[4,3,6,2,5,1,7]=>[7,1,5,2,6,3,4]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,6,3,2,5,7,1]=>[4,3,6,2,5,7,1]=>[1,7,5,2,6,3,4]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[4,6,3,2,7,1,5]=>[4,3,6,2,1,7,5]=>[5,7,1,2,6,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,6,3,2,7,5,1]=>[6,4,7,3,2,5,1]=>[1,5,2,3,7,4,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,6,3,5,1,2,7]=>[1,4,3,6,5,2,7]=>[7,2,5,6,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,6,3,5,1,7,2]=>[4,3,6,5,7,1,2]=>[2,1,7,5,6,3,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[4,6,3,5,2,1,7]=>[4,3,6,5,2,1,7]=>[7,1,2,5,6,3,4]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[4,6,3,5,2,7,1]=>[4,3,6,5,2,7,1]=>[1,7,2,5,6,3,4]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[4,6,3,5,7,1,2]=>[1,4,3,6,5,7,2]=>[2,7,5,6,3,4,1]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[4,6,3,5,7,2,1]=>[4,3,6,5,7,2,1]=>[1,2,7,5,6,3,4]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[4,6,3,7,1,2,5]=>[1,4,3,6,2,7,5]=>[5,7,2,6,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,6,3,7,1,5,2]=>[4,3,6,7,1,5,2]=>[2,5,1,7,6,3,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,6,3,7,2,1,5]=>[4,3,6,2,7,1,5]=>[5,1,7,2,6,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,6,3,7,2,5,1]=>[4,3,6,2,7,5,1]=>[1,5,7,2,6,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,6,3,7,5,1,2]=>[1,6,4,7,3,5,2]=>[2,5,3,7,4,6,1]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,6,3,7,5,2,1]=>[6,4,7,3,5,2,1]=>[1,2,5,3,7,4,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,6,5,1,2,3,7]=>[1,2,6,4,5,3,7]=>[7,3,5,4,6,2,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,6,5,1,2,7,3]=>[6,1,4,5,7,2,3]=>[3,2,7,5,4,1,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[4,6,5,1,3,2,7]=>[6,1,4,5,3,2,7]=>[7,2,3,5,4,1,6]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[4,6,5,1,3,7,2]=>[6,1,4,5,3,7,2]=>[2,7,3,5,4,1,6]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[4,6,5,1,7,2,3]=>[1,6,4,5,7,2,3]=>[3,2,7,5,4,6,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[4,6,5,1,7,3,2]=>[6,4,5,7,3,1,2]=>[2,1,3,7,5,4,6]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[4,6,5,2,1,3,7]=>[2,6,4,5,1,3,7]=>[7,3,1,5,4,6,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,5,2,1,7,3]=>[6,4,5,7,2,1,3]=>[3,1,2,7,5,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[4,6,5,2,3,1,7]=>[2,6,4,5,3,1,7]=>[7,1,3,5,4,6,2]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[4,6,5,2,3,7,1]=>[2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[4,6,5,2,7,1,3]=>[2,6,4,5,1,7,3]=>[3,7,1,5,4,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[4,6,5,2,7,3,1]=>[6,4,5,7,2,3,1]=>[1,3,2,7,5,4,6]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[4,6,5,3,1,2,7]=>[1,6,4,5,3,2,7]=>[7,2,3,5,4,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[4,6,5,3,1,7,2]=>[6,4,5,3,7,1,2]=>[2,1,7,3,5,4,6]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[4,6,5,3,2,1,7]=>[6,4,5,3,2,1,7]=>[7,1,2,3,5,4,6]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[4,6,5,3,2,7,1]=>[6,4,5,3,2,7,1]=>[1,7,2,3,5,4,6]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[4,6,5,3,7,1,2]=>[1,6,4,5,3,7,2]=>[2,7,3,5,4,6,1]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[4,6,5,3,7,2,1]=>[6,4,5,3,7,2,1]=>[1,2,7,3,5,4,6]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[4,6,5,7,1,2,3]=>[1,2,6,4,5,7,3]=>[3,7,5,4,6,2,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[4,6,5,7,1,3,2]=>[6,1,4,5,7,3,2]=>[2,3,7,5,4,1,6]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[4,6,5,7,2,1,3]=>[2,6,4,5,7,1,3]=>[3,1,7,5,4,6,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[4,6,5,7,2,3,1]=>[2,6,4,5,7,3,1]=>[1,3,7,5,4,6,2]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[4,6,5,7,3,1,2]=>[1,6,4,5,7,3,2]=>[2,3,7,5,4,6,1]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[4,6,5,7,3,2,1]=>[6,4,5,7,3,2,1]=>[1,2,3,7,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[4,6,7,1,2,3,5]=>[1,2,4,3,6,7,5]=>[5,7,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[4,6,7,1,2,5,3]=>[4,1,6,2,7,5,3]=>[3,5,7,2,6,1,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,6,7,1,3,2,5]=>[4,1,3,6,7,2,5]=>[5,2,7,6,3,1,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,6,7,1,3,5,2]=>[4,1,3,6,7,5,2]=>[2,5,7,6,3,1,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,6,7,1,5,2,3]=>[1,4,6,2,7,5,3]=>[3,5,7,2,6,4,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,6,7,1,5,3,2]=>[4,6,7,1,5,3,2]=>[2,3,5,1,7,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[4,6,7,2,1,3,5]=>[2,4,1,6,7,3,5]=>[5,3,7,6,1,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[4,6,7,2,1,5,3]=>[4,6,2,7,5,1,3]=>[3,1,5,7,2,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,6,7,2,3,1,5]=>[2,4,3,6,7,1,5]=>[5,1,7,6,3,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[4,6,7,2,3,5,1]=>[2,4,3,6,7,5,1]=>[1,5,7,6,3,4,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[4,6,7,2,5,1,3]=>[2,4,1,6,7,5,3]=>[3,5,7,6,1,4,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,6,7,2,5,3,1]=>[4,6,2,7,5,3,1]=>[1,3,5,7,2,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,6,7,3,1,2,5]=>[1,4,3,6,7,2,5]=>[5,2,7,6,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[4,6,7,3,1,5,2]=>[4,3,6,7,5,1,2]=>[2,1,5,7,6,3,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,6,7,3,2,1,5]=>[4,3,6,7,2,1,5]=>[5,1,2,7,6,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,6,7,3,2,5,1]=>[4,3,6,7,2,5,1]=>[1,5,2,7,6,3,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[4,6,7,3,5,1,2]=>[1,4,3,6,7,5,2]=>[2,5,7,6,3,4,1]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,6,7,3,5,2,1]=>[4,3,6,7,5,2,1]=>[1,2,5,7,6,3,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[4,6,7,5,1,2,3]=>[1,2,6,4,7,5,3]=>[3,5,7,4,6,2,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[4,6,7,5,1,3,2]=>[6,1,4,7,5,3,2]=>[2,3,5,7,4,1,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[4,6,7,5,2,1,3]=>[2,6,4,7,5,1,3]=>[3,1,5,7,4,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,6,7,5,2,3,1]=>[2,6,4,7,5,3,1]=>[1,3,5,7,4,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[4,6,7,5,3,1,2]=>[1,6,4,7,5,3,2]=>[2,3,5,7,4,6,1]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[4,6,7,5,3,2,1]=>[6,4,7,5,3,2,1]=>[1,2,3,5,7,4,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[4,7,1,2,3,5,6]=>[1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[4,7,1,2,3,6,5]=>[7,1,2,4,3,6,5]=>[5,6,3,4,2,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[4,7,1,2,5,3,6]=>[4,1,2,7,5,3,6]=>[6,3,5,7,2,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,7,1,2,5,6,3]=>[4,1,5,2,7,6,3]=>[3,6,7,2,5,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,7,1,2,6,3,5]=>[4,1,2,7,3,6,5]=>[5,6,3,7,2,1,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[4,7,1,2,6,5,3]=>[7,4,1,6,2,5,3]=>[3,5,2,6,1,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,7,1,3,2,5,6]=>[4,1,3,2,7,5,6]=>[6,5,7,2,3,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[4,7,1,3,2,6,5]=>[7,4,1,3,6,2,5]=>[5,2,6,3,1,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,7,1,3,5,2,6]=>[4,1,3,5,7,2,6]=>[6,2,7,5,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[4,7,1,3,5,6,2]=>[4,1,3,5,7,6,2]=>[2,6,7,5,3,1,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,7,1,3,6,2,5]=>[4,1,3,2,7,6,5]=>[5,6,7,2,3,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,7,1,3,6,5,2]=>[7,4,1,3,6,5,2]=>[2,5,6,3,1,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,7,1,5,2,3,6]=>[1,4,2,7,5,3,6]=>[6,3,5,7,2,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,7,1,5,2,6,3]=>[4,7,1,5,6,2,3]=>[3,2,6,5,1,7,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,7,1,5,3,2,6]=>[4,5,7,1,3,2,6]=>[6,2,3,1,7,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[4,7,1,5,3,6,2]=>[4,7,1,5,3,6,2]=>[2,6,3,5,1,7,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[4,7,1,5,6,2,3]=>[1,4,5,2,7,6,3]=>[3,6,7,2,5,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,7,1,5,6,3,2]=>[4,5,7,1,6,3,2]=>[2,3,6,1,7,5,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[4,7,1,6,2,3,5]=>[1,4,2,7,3,6,5]=>[5,6,3,7,2,4,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[4,7,1,6,2,5,3]=>[4,7,1,6,2,5,3]=>[3,5,2,6,1,7,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,7,1,6,3,2,5]=>[4,1,7,6,3,2,5]=>[5,2,3,6,7,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,7,1,6,3,5,2]=>[4,7,1,3,6,5,2]=>[2,5,6,3,1,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,7,1,6,5,2,3]=>[1,7,4,6,2,5,3]=>[3,5,2,6,4,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,7,1,6,5,3,2]=>[7,4,6,5,1,3,2]=>[2,3,1,5,6,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[4,7,2,1,3,5,6]=>[2,4,1,3,7,5,6]=>[6,5,7,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[4,7,2,1,3,6,5]=>[7,2,4,1,6,3,5]=>[5,3,6,1,4,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,7,2,1,5,3,6]=>[4,2,7,5,1,3,6]=>[6,3,1,5,7,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,7,2,1,5,6,3]=>[4,7,2,1,5,6,3]=>[3,6,5,1,2,7,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,7,2,1,6,3,5]=>[4,2,7,1,6,3,5]=>[5,3,6,1,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,7,2,1,6,5,3]=>[7,4,6,2,5,1,3]=>[3,1,5,2,6,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,7,2,3,1,5,6]=>[2,4,3,1,7,5,6]=>[6,5,7,1,3,4,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[4,7,2,3,1,6,5]=>[7,2,4,3,6,1,5]=>[5,1,6,3,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,7,2,3,5,1,6]=>[2,4,3,5,7,1,6]=>[6,1,7,5,3,4,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[4,7,2,3,5,6,1]=>[2,4,3,5,7,6,1]=>[1,6,7,5,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,7,2,3,6,1,5]=>[2,4,3,1,7,6,5]=>[5,6,7,1,3,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,7,2,3,6,5,1]=>[7,2,4,3,6,5,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,7,2,5,1,3,6]=>[2,4,1,5,7,3,6]=>[6,3,7,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,7,2,5,1,6,3]=>[4,5,2,7,6,1,3]=>[3,1,6,7,2,5,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,7,2,5,3,1,6]=>[4,2,7,5,3,1,6]=>[6,1,3,5,7,2,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[4,7,2,5,3,6,1]=>[4,2,7,5,3,6,1]=>[1,6,3,5,7,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,7,2,5,6,1,3]=>[2,4,1,5,7,6,3]=>[3,6,7,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,7,2,5,6,3,1]=>[4,5,2,7,6,3,1]=>[1,3,6,7,2,5,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,7,2,6,1,3,5]=>[2,4,1,3,7,6,5]=>[5,6,7,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,7,2,6,1,5,3]=>[4,7,2,1,6,5,3]=>[3,5,6,1,2,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,7,2,6,3,1,5]=>[4,2,7,3,6,1,5]=>[5,1,6,3,7,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,7,2,6,3,5,1]=>[4,2,7,3,6,5,1]=>[1,5,6,3,7,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,7,2,6,5,1,3]=>[2,7,4,1,6,5,3]=>[3,5,6,1,4,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,7,2,6,5,3,1]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,7,3,1,2,5,6]=>[1,4,3,2,7,5,6]=>[6,5,7,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[4,7,3,1,2,6,5]=>[7,1,4,3,6,2,5]=>[5,2,6,3,4,1,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,7,3,1,5,2,6]=>[4,3,5,7,1,2,6]=>[6,2,1,7,5,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[4,7,3,1,5,6,2]=>[4,3,7,1,5,6,2]=>[2,6,5,1,7,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,7,3,1,6,2,5]=>[4,3,1,7,6,2,5]=>[5,2,6,7,1,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,7,3,1,6,5,2]=>[7,4,3,6,5,1,2]=>[2,1,5,6,3,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,7,3,2,1,5,6]=>[4,3,2,7,1,5,6]=>[6,5,1,7,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[4,7,3,2,1,6,5]=>[7,4,3,6,2,1,5]=>[5,1,2,6,3,4,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,7,3,2,5,1,6]=>[4,3,2,7,5,1,6]=>[6,1,5,7,2,3,4]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[4,7,3,2,5,6,1]=>[4,3,2,7,5,6,1]=>[1,6,5,7,2,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,7,3,2,6,1,5]=>[4,3,2,7,1,6,5]=>[5,6,1,7,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,7,3,2,6,5,1]=>[7,4,3,6,2,5,1]=>[1,5,2,6,3,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,7,3,5,1,2,6]=>[1,4,3,5,7,2,6]=>[6,2,7,5,3,4,1]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[4,7,3,5,1,6,2]=>[4,3,5,7,6,1,2]=>[2,1,6,7,5,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,7,3,5,2,1,6]=>[4,3,5,7,2,1,6]=>[6,1,2,7,5,3,4]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]
[4,7,3,5,2,6,1]=>[4,3,5,7,2,6,1]=>[1,6,2,7,5,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[4,7,3,5,6,1,2]=>[1,4,3,5,7,6,2]=>[2,6,7,5,3,4,1]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[4,7,3,5,6,2,1]=>[4,3,5,7,6,2,1]=>[1,2,6,7,5,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[4,7,3,6,1,2,5]=>[1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,7,3,6,1,5,2]=>[4,3,7,1,6,5,2]=>[2,5,6,1,7,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,7,3,6,2,1,5]=>[4,3,2,7,6,1,5]=>[5,1,6,7,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,7,3,6,2,5,1]=>[4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,7,3,6,5,1,2]=>[1,7,4,3,6,5,2]=>[2,5,6,3,4,7,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,7,3,6,5,2,1]=>[7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,5,1,2,3,6]=>[1,2,4,7,5,3,6]=>[6,3,5,7,4,2,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[4,7,5,1,2,6,3]=>[4,1,7,5,6,2,3]=>[3,2,6,5,7,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,7,5,1,3,2,6]=>[1,7,4,5,3,2,6]=>[6,2,3,5,4,7,1]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[4,7,5,1,3,6,2]=>[4,1,7,5,3,6,2]=>[2,6,3,5,7,1,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[4,7,5,1,6,2,3]=>[1,4,7,5,6,2,3]=>[3,2,6,5,7,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,7,5,1,6,3,2]=>[4,7,5,6,3,1,2]=>[2,1,3,6,5,7,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[4,7,5,2,1,3,6]=>[2,4,7,5,1,3,6]=>[6,3,1,5,7,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[4,7,5,2,1,6,3]=>[4,7,5,6,2,1,3]=>[3,1,2,6,5,7,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,7,5,2,3,1,6]=>[2,4,7,5,3,1,6]=>[6,1,3,5,7,4,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[4,7,5,2,3,6,1]=>[2,4,7,5,3,6,1]=>[1,6,3,5,7,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,7,5,2,6,1,3]=>[2,4,7,5,1,6,3]=>[3,6,1,5,7,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,7,5,2,6,3,1]=>[4,7,5,6,2,3,1]=>[1,3,2,6,5,7,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,7,5,3,1,2,6]=>[1,4,7,5,3,2,6]=>[6,2,3,5,7,4,1]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[4,7,5,3,1,6,2]=>[4,7,5,3,6,1,2]=>[2,1,6,3,5,7,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[4,7,5,3,2,1,6]=>[4,7,5,3,2,1,6]=>[6,1,2,3,5,7,4]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[4,7,5,3,2,6,1]=>[4,7,5,3,2,6,1]=>[1,6,2,3,5,7,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[4,7,5,3,6,1,2]=>[1,4,7,5,3,6,2]=>[2,6,3,5,7,4,1]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[4,7,5,3,6,2,1]=>[4,7,5,3,6,2,1]=>[1,2,6,3,5,7,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[4,7,5,6,1,2,3]=>[1,2,4,7,5,6,3]=>[3,6,5,7,4,2,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[4,7,5,6,1,3,2]=>[4,1,7,5,6,3,2]=>[2,3,6,5,7,1,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[4,7,5,6,2,1,3]=>[2,4,7,5,6,1,3]=>[3,1,6,5,7,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[4,7,5,6,2,3,1]=>[2,4,7,5,6,3,1]=>[1,3,6,5,7,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[4,7,5,6,3,1,2]=>[1,4,7,5,6,3,2]=>[2,3,6,5,7,4,1]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[4,7,5,6,3,2,1]=>[4,7,5,6,3,2,1]=>[1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[4,7,6,1,2,3,5]=>[1,2,4,7,3,6,5]=>[5,6,3,7,4,2,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[4,7,6,1,2,5,3]=>[4,1,7,6,2,5,3]=>[3,5,2,6,7,1,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,7,6,1,3,2,5]=>[1,7,4,3,6,2,5]=>[5,2,6,3,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,7,6,1,3,5,2]=>[4,1,7,3,6,5,2]=>[2,5,6,3,7,1,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,7,6,1,5,2,3]=>[1,4,7,6,2,5,3]=>[3,5,2,6,7,4,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,7,6,1,5,3,2]=>[4,7,6,5,1,3,2]=>[2,3,1,5,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[4,7,6,2,1,3,5]=>[2,4,7,1,6,3,5]=>[5,3,6,1,7,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[4,7,6,2,1,5,3]=>[4,7,6,2,5,1,3]=>[3,1,5,2,6,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,7,6,2,3,1,5]=>[2,4,7,3,6,1,5]=>[5,1,6,3,7,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,7,6,2,3,5,1]=>[2,4,7,3,6,5,1]=>[1,5,6,3,7,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,7,6,2,5,1,3]=>[2,4,7,1,6,5,3]=>[3,5,6,1,7,4,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,7,6,2,5,3,1]=>[4,7,6,2,5,3,1]=>[1,3,5,2,6,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,7,6,3,1,2,5]=>[1,4,7,3,6,2,5]=>[5,2,6,3,7,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[4,7,6,3,1,5,2]=>[4,7,3,6,5,1,2]=>[2,1,5,6,3,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,7,6,3,2,1,5]=>[4,7,3,6,2,1,5]=>[5,1,2,6,3,7,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,7,6,3,2,5,1]=>[4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,7,6,3,5,1,2]=>[1,4,7,3,6,5,2]=>[2,5,6,3,7,4,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[4,7,6,3,5,2,1]=>[4,7,3,6,5,2,1]=>[1,2,5,6,3,7,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,6,5,1,2,3]=>[1,2,7,6,4,5,3]=>[3,5,4,6,7,2,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[4,7,6,5,1,3,2]=>[7,1,6,4,5,3,2]=>[2,3,5,4,6,1,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[4,7,6,5,2,1,3]=>[2,7,6,4,5,1,3]=>[3,1,5,4,6,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[4,7,6,5,2,3,1]=>[2,7,6,4,5,3,1]=>[1,3,5,4,6,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,7,6,5,3,1,2]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[4,7,6,5,3,2,1]=>[7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[5,1,2,3,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[5,1,2,3,4,7,6]=>[7,1,2,3,5,4,6]=>[6,4,5,3,2,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,1,2,3,6,4,7]=>[5,1,2,6,3,4,7]=>[7,4,3,6,2,1,5]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,1,2,3,6,7,4]=>[5,1,2,6,3,7,4]=>[4,7,3,6,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,1,2,3,7,4,6]=>[5,1,2,3,7,4,6]=>[6,4,7,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,1,2,3,7,6,4]=>[7,5,1,2,6,3,4]=>[4,3,6,2,1,5,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,1,2,4,3,6,7]=>[5,1,2,4,3,6,7]=>[7,6,3,4,2,1,5]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[5,1,2,4,3,7,6]=>[7,5,1,2,4,3,6]=>[6,3,4,2,1,5,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,1,2,4,6,3,7]=>[5,1,2,4,6,3,7]=>[7,3,6,4,2,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[5,1,2,4,6,7,3]=>[5,1,2,4,6,7,3]=>[3,7,6,4,2,1,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[5,1,2,4,7,3,6]=>[5,1,2,4,3,7,6]=>[6,7,3,4,2,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,1,2,4,7,6,3]=>[7,5,1,2,4,6,3]=>[3,6,4,2,1,5,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,1,2,6,3,4,7]=>[1,5,2,6,3,4,7]=>[7,4,3,6,2,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,1,2,6,3,7,4]=>[5,6,1,7,2,3,4]=>[4,3,2,7,1,6,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,1,2,6,4,3,7]=>[5,6,1,4,2,3,7]=>[7,3,2,4,1,6,5]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[5,1,2,6,4,7,3]=>[5,6,1,4,2,7,3]=>[3,7,2,4,1,6,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[5,1,2,6,7,3,4]=>[1,5,2,6,3,7,4]=>[4,7,3,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,1,2,6,7,4,3]=>[5,6,1,7,2,4,3]=>[3,4,2,7,1,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[5,1,2,7,3,4,6]=>[1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,1,2,7,3,6,4]=>[5,7,1,2,6,3,4]=>[4,3,6,2,1,7,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,1,2,7,4,3,6]=>[5,1,7,4,2,3,6]=>[6,3,2,4,7,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,1,2,7,4,6,3]=>[5,7,1,2,4,6,3]=>[3,6,4,2,1,7,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,1,2,7,6,3,4]=>[1,7,5,2,6,3,4]=>[4,3,6,2,5,7,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,1,2,7,6,4,3]=>[7,5,6,1,4,2,3]=>[3,2,4,1,6,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[5,1,3,2,4,6,7]=>[1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[5,1,3,2,4,7,6]=>[7,1,5,3,2,4,6]=>[6,4,2,3,5,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,1,3,2,6,4,7]=>[5,6,1,3,2,4,7]=>[7,4,2,3,1,6,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,1,3,2,6,7,4]=>[5,6,1,3,2,7,4]=>[4,7,2,3,1,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,1,3,2,7,4,6]=>[5,1,7,3,2,4,6]=>[6,4,2,3,7,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,1,3,2,7,6,4]=>[7,5,6,1,3,2,4]=>[4,2,3,1,6,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,1,3,4,2,6,7]=>[3,1,5,4,2,6,7]=>[7,6,2,4,5,1,3]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[5,1,3,4,2,7,6]=>[7,3,1,5,4,2,6]=>[6,2,4,5,1,3,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,1,3,4,6,2,7]=>[3,1,5,4,6,2,7]=>[7,2,6,4,5,1,3]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[5,1,3,4,6,7,2]=>[3,1,5,4,6,7,2]=>[2,7,6,4,5,1,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[5,1,3,4,7,2,6]=>[3,1,5,4,2,7,6]=>[6,7,2,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,1,3,4,7,6,2]=>[7,3,1,5,4,6,2]=>[2,6,4,5,1,3,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,1,3,6,2,4,7]=>[1,5,3,2,6,4,7]=>[7,4,6,2,3,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,1,3,6,2,7,4]=>[5,6,1,3,7,2,4]=>[4,2,7,3,1,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,1,3,6,4,2,7]=>[5,6,1,3,4,2,7]=>[7,2,4,3,1,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[5,1,3,6,4,7,2]=>[5,6,1,3,4,7,2]=>[2,7,4,3,1,6,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[5,1,3,6,7,2,4]=>[1,5,3,2,6,7,4]=>[4,7,6,2,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,1,3,6,7,4,2]=>[5,6,1,3,7,4,2]=>[2,4,7,3,1,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,1,3,7,2,4,6]=>[1,5,3,2,4,7,6]=>[6,7,4,2,3,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,1,3,7,2,6,4]=>[5,7,1,3,2,6,4]=>[4,6,2,3,1,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,1,3,7,4,2,6]=>[5,1,7,3,4,2,6]=>[6,2,4,3,7,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,1,3,7,4,6,2]=>[5,3,1,7,4,6,2]=>[2,6,4,7,1,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,1,3,7,6,2,4]=>[1,7,5,3,2,6,4]=>[4,6,2,3,5,7,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,1,3,7,6,4,2]=>[7,5,6,1,3,4,2]=>[2,4,3,1,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,1,4,2,3,6,7]=>[1,5,2,4,3,6,7]=>[7,6,3,4,2,5,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[5,1,4,2,3,7,6]=>[7,1,5,2,4,3,6]=>[6,3,4,2,5,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,1,4,2,6,3,7]=>[5,4,1,6,2,3,7]=>[7,3,2,6,1,4,5]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[5,1,4,2,6,7,3]=>[5,4,1,6,2,7,3]=>[3,7,2,6,1,4,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[5,1,4,2,7,3,6]=>[5,4,1,2,7,3,6]=>[6,3,7,2,1,4,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,1,4,2,7,6,3]=>[7,5,4,1,6,2,3]=>[3,2,6,1,4,5,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,1,4,3,2,6,7]=>[5,4,1,3,2,6,7]=>[7,6,2,3,1,4,5]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[5,1,4,3,2,7,6]=>[7,5,4,1,3,2,6]=>[6,2,3,1,4,5,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[5,1,4,3,6,2,7]=>[5,4,1,3,6,2,7]=>[7,2,6,3,1,4,5]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[5,1,4,3,6,7,2]=>[5,4,1,3,6,7,2]=>[2,7,6,3,1,4,5]=>[[.,.],[[[.,[.,[.,.]]],.],.]]
[5,1,4,3,7,2,6]=>[5,4,1,3,2,7,6]=>[6,7,2,3,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[5,1,4,3,7,6,2]=>[7,5,4,1,3,6,2]=>[2,6,3,1,4,5,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[5,1,4,6,2,3,7]=>[1,5,2,4,6,3,7]=>[7,3,6,4,2,5,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[5,1,4,6,2,7,3]=>[5,4,1,6,7,2,3]=>[3,2,7,6,1,4,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[5,1,4,6,3,2,7]=>[5,4,1,6,3,2,7]=>[7,2,3,6,1,4,5]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[5,1,4,6,3,7,2]=>[5,4,1,6,3,7,2]=>[2,7,3,6,1,4,5]=>[[.,.],[[.,[[.,[.,.]],.]],.]]
[5,1,4,6,7,2,3]=>[1,5,2,4,6,7,3]=>[3,7,6,4,2,5,1]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[5,1,4,6,7,3,2]=>[5,4,1,6,7,3,2]=>[2,3,7,6,1,4,5]=>[[.,.],[.,[[[.,[.,.]],.],.]]]
[5,1,4,7,2,3,6]=>[1,5,2,4,3,7,6]=>[6,7,3,4,2,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,1,4,7,2,6,3]=>[5,4,1,7,2,6,3]=>[3,6,2,7,1,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,1,4,7,3,2,6]=>[5,4,1,3,7,2,6]=>[6,2,7,3,1,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[5,1,4,7,3,6,2]=>[5,4,1,3,7,6,2]=>[2,6,7,3,1,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[5,1,4,7,6,2,3]=>[1,7,5,2,4,6,3]=>[3,6,4,2,5,7,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,1,4,7,6,3,2]=>[7,5,4,1,6,3,2]=>[2,3,6,1,4,5,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,1,6,2,3,4,7]=>[1,2,5,6,3,4,7]=>[7,4,3,6,5,2,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,1,6,2,3,7,4]=>[5,1,6,7,2,3,4]=>[4,3,2,7,6,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,1,6,2,4,3,7]=>[5,1,6,4,2,3,7]=>[7,3,2,4,6,1,5]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[5,1,6,2,4,7,3]=>[5,1,6,4,2,7,3]=>[3,7,2,4,6,1,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[5,1,6,2,7,3,4]=>[1,5,6,7,2,3,4]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,1,6,2,7,4,3]=>[5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[5,1,6,3,2,4,7]=>[3,5,6,1,2,4,7]=>[7,4,2,1,6,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,1,6,3,2,7,4]=>[5,6,7,3,1,2,4]=>[4,2,1,3,7,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,1,6,3,4,2,7]=>[5,1,6,3,4,2,7]=>[7,2,4,3,6,1,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[5,1,6,3,4,7,2]=>[5,1,6,3,4,7,2]=>[2,7,4,3,6,1,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[5,1,6,3,7,2,4]=>[3,5,6,1,2,7,4]=>[4,7,2,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,1,6,3,7,4,2]=>[5,6,7,3,1,4,2]=>[2,4,1,3,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,1,6,4,2,3,7]=>[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[5,1,6,4,2,7,3]=>[5,6,4,7,1,2,3]=>[3,2,1,7,4,6,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[5,1,6,4,3,2,7]=>[5,6,4,3,1,2,7]=>[7,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[5,1,6,4,3,7,2]=>[5,6,4,3,1,7,2]=>[2,7,1,3,4,6,5]=>[[.,.],[[.,[.,[[.,.],.]]],.]]
[5,1,6,4,7,2,3]=>[1,5,6,4,2,7,3]=>[3,7,2,4,6,5,1]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[5,1,6,4,7,3,2]=>[5,6,4,7,1,3,2]=>[2,3,1,7,4,6,5]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[5,1,6,7,2,3,4]=>[1,2,5,6,3,7,4]=>[4,7,3,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,1,6,7,2,4,3]=>[5,1,6,7,2,4,3]=>[3,4,2,7,6,1,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[5,1,6,7,3,2,4]=>[1,5,6,7,3,2,4]=>[4,2,3,7,6,5,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,1,6,7,3,4,2]=>[5,1,6,3,7,4,2]=>[2,4,7,3,6,1,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,1,6,7,4,2,3]=>[1,5,6,7,2,4,3]=>[3,4,2,7,6,5,1]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[5,1,6,7,4,3,2]=>[5,6,7,4,1,3,2]=>[2,3,1,4,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[5,1,7,2,3,4,6]=>[1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,1,7,2,3,6,4]=>[5,1,7,2,6,3,4]=>[4,3,6,2,7,1,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,1,7,2,4,3,6]=>[5,1,4,7,2,3,6]=>[6,3,2,7,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,1,7,2,4,6,3]=>[5,1,7,2,4,6,3]=>[3,6,4,2,7,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,1,7,2,6,3,4]=>[1,5,7,2,6,3,4]=>[4,3,6,2,7,5,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,1,7,2,6,4,3]=>[5,7,6,1,4,2,3]=>[3,2,4,1,6,7,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[5,1,7,3,2,4,6]=>[3,5,1,7,2,4,6]=>[6,4,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,1,7,3,2,6,4]=>[5,7,3,6,1,2,4]=>[4,2,1,6,3,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,1,7,3,4,2,6]=>[5,1,3,7,4,2,6]=>[6,2,4,7,3,1,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,1,7,3,4,6,2]=>[5,1,3,7,4,6,2]=>[2,6,4,7,3,1,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,1,7,3,6,2,4]=>[1,5,7,3,2,6,4]=>[4,6,2,3,7,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,1,7,3,6,4,2]=>[5,7,6,1,3,4,2]=>[2,4,3,1,6,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,1,7,4,2,3,6]=>[1,5,4,7,2,3,6]=>[6,3,2,7,4,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,1,7,4,2,6,3]=>[5,4,7,6,1,2,3]=>[3,2,1,6,7,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,1,7,4,3,2,6]=>[5,4,7,3,1,2,6]=>[6,2,1,3,7,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[5,1,7,4,3,6,2]=>[5,4,7,3,1,6,2]=>[2,6,1,3,7,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[5,1,7,4,6,2,3]=>[1,5,7,2,4,6,3]=>[3,6,4,2,7,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,1,7,4,6,3,2]=>[5,7,4,1,6,3,2]=>[2,3,6,1,4,7,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,1,7,6,2,3,4]=>[1,2,7,5,6,3,4]=>[4,3,6,5,7,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,1,7,6,2,4,3]=>[7,1,5,6,4,2,3]=>[3,2,4,6,5,1,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[5,1,7,6,3,2,4]=>[3,7,5,6,1,2,4]=>[4,2,1,6,5,7,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,1,7,6,3,4,2]=>[7,1,5,6,3,4,2]=>[2,4,3,6,5,1,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,1,7,6,4,2,3]=>[1,7,5,6,4,2,3]=>[3,2,4,6,5,7,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[5,1,7,6,4,3,2]=>[7,5,6,4,3,1,2]=>[2,1,3,4,6,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[5,2,1,3,4,6,7]=>[2,1,5,3,4,6,7]=>[7,6,4,3,5,1,2]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[5,2,1,3,4,7,6]=>[7,2,1,5,3,4,6]=>[6,4,3,5,1,2,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,2,1,3,6,4,7]=>[5,2,6,1,3,4,7]=>[7,4,3,1,6,2,5]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,2,1,3,6,7,4]=>[5,2,6,1,3,7,4]=>[4,7,3,1,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,2,1,3,7,4,6]=>[5,2,1,7,3,4,6]=>[6,4,3,7,1,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,2,1,3,7,6,4]=>[7,5,2,6,1,3,4]=>[4,3,1,6,2,5,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,2,1,4,3,6,7]=>[5,2,4,1,3,6,7]=>[7,6,3,1,4,2,5]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[5,2,1,4,3,7,6]=>[7,5,2,4,1,3,6]=>[6,3,1,4,2,5,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,2,1,4,6,3,7]=>[5,2,4,1,6,3,7]=>[7,3,6,1,4,2,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,2,1,4,6,7,3]=>[5,2,4,1,6,7,3]=>[3,7,6,1,4,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[5,2,1,4,7,3,6]=>[5,2,4,1,3,7,6]=>[6,7,3,1,4,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,2,1,4,7,6,3]=>[7,5,2,4,1,6,3]=>[3,6,1,4,2,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,2,1,6,3,4,7]=>[2,5,6,1,3,4,7]=>[7,4,3,1,6,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,2,1,6,3,7,4]=>[5,6,7,2,1,3,4]=>[4,3,1,2,7,6,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,2,1,6,4,3,7]=>[5,6,4,2,1,3,7]=>[7,3,1,2,4,6,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[5,2,1,6,4,7,3]=>[5,6,4,2,1,7,3]=>[3,7,1,2,4,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[5,2,1,6,7,3,4]=>[2,5,6,1,3,7,4]=>[4,7,3,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,2,1,6,7,4,3]=>[5,6,7,2,1,4,3]=>[3,4,1,2,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[5,2,1,7,3,4,6]=>[2,5,1,7,3,4,6]=>[6,4,3,7,1,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,2,1,7,3,6,4]=>[5,7,2,6,1,3,4]=>[4,3,1,6,2,7,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,2,1,7,4,3,6]=>[5,4,7,2,1,3,6]=>[6,3,1,2,7,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,2,1,7,4,6,3]=>[5,7,2,4,1,6,3]=>[3,6,1,4,2,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,2,1,7,6,3,4]=>[2,7,5,6,1,3,4]=>[4,3,1,6,5,7,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,2,1,7,6,4,3]=>[7,5,6,4,2,1,3]=>[3,1,2,4,6,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[5,2,3,1,4,6,7]=>[2,3,5,1,4,6,7]=>[7,6,4,1,5,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[5,2,3,1,4,7,6]=>[7,2,3,5,1,4,6]=>[6,4,1,5,3,2,7]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[5,2,3,1,6,4,7]=>[5,2,6,3,1,4,7]=>[7,4,1,3,6,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,2,3,1,6,7,4]=>[5,2,6,3,1,7,4]=>[4,7,1,3,6,2,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,2,3,1,7,4,6]=>[5,2,3,7,1,4,6]=>[6,4,1,7,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[5,2,3,1,7,6,4]=>[7,5,2,6,3,1,4]=>[4,1,3,6,2,5,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,2,3,4,1,6,7]=>[2,3,5,4,1,6,7]=>[7,6,1,4,5,3,2]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[5,2,3,4,1,7,6]=>[7,2,3,5,4,1,6]=>[6,1,4,5,3,2,7]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[5,2,3,4,6,1,7]=>[2,3,5,4,6,1,7]=>[7,1,6,4,5,3,2]=>[[.,[[[[.,.],.],[.,.]],.]],.]
[5,2,3,4,6,7,1]=>[2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2]=>[.,[[[[[.,.],.],[.,.]],.],.]]
[5,2,3,4,7,1,6]=>[2,3,5,4,1,7,6]=>[6,7,1,4,5,3,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[5,2,3,4,7,6,1]=>[7,2,3,5,4,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,2,3,6,1,4,7]=>[2,3,5,1,6,4,7]=>[7,4,6,1,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,2,3,6,1,7,4]=>[5,2,6,3,7,1,4]=>[4,1,7,3,6,2,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,2,3,6,4,1,7]=>[5,2,6,3,4,1,7]=>[7,1,4,3,6,2,5]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[5,2,3,6,4,7,1]=>[5,2,6,3,4,7,1]=>[1,7,4,3,6,2,5]=>[.,[[[[.,.],.],[[.,.],.]],.]]
[5,2,3,6,7,1,4]=>[2,3,5,1,6,7,4]=>[4,7,6,1,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,2,3,6,7,4,1]=>[5,2,6,3,7,4,1]=>[1,4,7,3,6,2,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[5,2,3,7,1,4,6]=>[2,3,5,1,4,7,6]=>[6,7,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[5,2,3,7,1,6,4]=>[5,2,7,3,1,6,4]=>[4,6,1,3,7,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,2,3,7,4,1,6]=>[5,2,3,7,4,1,6]=>[6,1,4,7,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[5,2,3,7,4,6,1]=>[5,2,3,7,4,6,1]=>[1,6,4,7,3,2,5]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,2,3,7,6,1,4]=>[2,7,3,5,1,6,4]=>[4,6,1,5,3,7,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,2,3,7,6,4,1]=>[7,5,2,6,3,4,1]=>[1,4,3,6,2,5,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,2,4,1,3,6,7]=>[2,1,5,4,3,6,7]=>[7,6,3,4,5,1,2]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[5,2,4,1,3,7,6]=>[7,2,1,5,4,3,6]=>[6,3,4,5,1,2,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,2,4,1,6,3,7]=>[5,2,4,6,1,3,7]=>[7,3,1,6,4,2,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,2,4,1,6,7,3]=>[5,2,4,6,1,7,3]=>[3,7,1,6,4,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[5,2,4,1,7,3,6]=>[5,2,4,1,7,3,6]=>[6,3,7,1,4,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,2,4,1,7,6,3]=>[7,5,2,4,6,1,3]=>[3,1,6,4,2,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,2,4,3,1,6,7]=>[5,2,4,3,1,6,7]=>[7,6,1,3,4,2,5]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[5,2,4,3,1,7,6]=>[7,5,2,4,3,1,6]=>[6,1,3,4,2,5,7]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[5,2,4,3,6,1,7]=>[5,2,4,3,6,1,7]=>[7,1,6,3,4,2,5]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[5,2,4,3,6,7,1]=>[5,2,4,3,6,7,1]=>[1,7,6,3,4,2,5]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,2,4,3,7,1,6]=>[5,2,4,3,1,7,6]=>[6,7,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[5,2,4,3,7,6,1]=>[7,5,2,4,3,6,1]=>[1,6,3,4,2,5,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,2,4,6,1,3,7]=>[2,1,5,4,6,3,7]=>[7,3,6,4,5,1,2]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,2,4,6,1,7,3]=>[5,2,4,6,7,1,3]=>[3,1,7,6,4,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[5,2,4,6,3,1,7]=>[5,2,4,6,3,1,7]=>[7,1,3,6,4,2,5]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[5,2,4,6,3,7,1]=>[5,2,4,6,3,7,1]=>[1,7,3,6,4,2,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[5,2,4,6,7,1,3]=>[2,1,5,4,6,7,3]=>[3,7,6,4,5,1,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[5,2,4,6,7,3,1]=>[5,2,4,6,7,3,1]=>[1,3,7,6,4,2,5]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[5,2,4,7,1,3,6]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,2,4,7,1,6,3]=>[5,2,4,7,1,6,3]=>[3,6,1,7,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,2,4,7,3,1,6]=>[5,2,4,3,7,1,6]=>[6,1,7,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[5,2,4,7,3,6,1]=>[5,2,4,3,7,6,1]=>[1,6,7,3,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,2,4,7,6,1,3]=>[2,7,1,5,4,6,3]=>[3,6,4,5,1,7,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,2,4,7,6,3,1]=>[7,5,2,4,6,3,1]=>[1,3,6,4,2,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,2,6,1,3,4,7]=>[2,1,5,3,6,4,7]=>[7,4,6,3,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,2,6,1,3,7,4]=>[5,2,6,1,7,3,4]=>[4,3,7,1,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,2,6,1,4,3,7]=>[5,2,6,1,4,3,7]=>[7,3,4,1,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[5,2,6,1,4,7,3]=>[5,2,6,1,4,7,3]=>[3,7,4,1,6,2,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[5,2,6,1,7,3,4]=>[2,5,6,1,7,3,4]=>[4,3,7,1,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,2,6,1,7,4,3]=>[5,6,7,2,4,1,3]=>[3,1,4,2,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[5,2,6,3,1,4,7]=>[2,5,6,3,1,4,7]=>[7,4,1,3,6,5,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,2,6,3,1,7,4]=>[5,6,7,2,3,1,4]=>[4,1,3,2,7,6,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,2,6,3,4,1,7]=>[2,5,6,3,4,1,7]=>[7,1,4,3,6,5,2]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[5,2,6,3,4,7,1]=>[2,5,6,3,4,7,1]=>[1,7,4,3,6,5,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]
[5,2,6,3,7,1,4]=>[2,5,6,3,1,7,4]=>[4,7,1,3,6,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,2,6,3,7,4,1]=>[5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[5,2,6,4,1,3,7]=>[2,5,6,1,4,3,7]=>[7,3,4,1,6,5,2]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[5,2,6,4,1,7,3]=>[5,6,4,2,7,1,3]=>[3,1,7,2,4,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[5,2,6,4,3,1,7]=>[5,6,4,2,3,1,7]=>[7,1,3,2,4,6,5]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[5,2,6,4,3,7,1]=>[5,6,4,2,3,7,1]=>[1,7,3,2,4,6,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[5,2,6,4,7,1,3]=>[2,5,6,1,4,7,3]=>[3,7,4,1,6,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[5,2,6,4,7,3,1]=>[5,6,4,2,7,3,1]=>[1,3,7,2,4,6,5]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[5,2,6,7,1,3,4]=>[2,1,5,3,6,7,4]=>[4,7,6,3,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,2,6,7,1,4,3]=>[5,2,6,1,7,4,3]=>[3,4,7,1,6,2,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[5,2,6,7,3,1,4]=>[2,5,6,3,7,1,4]=>[4,1,7,3,6,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,2,6,7,3,4,1]=>[2,5,6,3,7,4,1]=>[1,4,7,3,6,5,2]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[5,2,6,7,4,1,3]=>[2,5,6,1,7,4,3]=>[3,4,7,1,6,5,2]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[5,2,6,7,4,3,1]=>[5,6,7,2,4,3,1]=>[1,3,4,2,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[5,2,7,1,3,4,6]=>[2,1,5,3,4,7,6]=>[6,7,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,2,7,1,3,6,4]=>[5,2,7,1,3,6,4]=>[4,6,3,1,7,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,2,7,1,4,3,6]=>[5,2,1,7,4,3,6]=>[6,3,4,7,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,2,7,1,4,6,3]=>[5,2,4,1,7,6,3]=>[3,6,7,1,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,2,7,1,6,3,4]=>[2,5,7,1,3,6,4]=>[4,6,3,1,7,5,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,2,7,1,6,4,3]=>[5,7,6,2,1,4,3]=>[3,4,1,2,6,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[5,2,7,3,1,4,6]=>[2,5,3,7,1,4,6]=>[6,4,1,7,3,5,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[5,2,7,3,1,6,4]=>[5,7,2,6,3,1,4]=>[4,1,3,6,2,7,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,2,7,3,4,1,6]=>[2,5,3,7,4,1,6]=>[6,1,4,7,3,5,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[5,2,7,3,4,6,1]=>[2,5,3,7,4,6,1]=>[1,6,4,7,3,5,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,2,7,3,6,1,4]=>[2,5,3,7,1,6,4]=>[4,6,1,7,3,5,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,2,7,3,6,4,1]=>[5,7,2,6,3,4,1]=>[1,4,3,6,2,7,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,2,7,4,1,3,6]=>[2,5,1,7,4,3,6]=>[6,3,4,7,1,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,2,7,4,1,6,3]=>[5,7,2,4,6,1,3]=>[3,1,6,4,2,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,2,7,4,3,1,6]=>[5,4,7,2,3,1,6]=>[6,1,3,2,7,4,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[5,2,7,4,3,6,1]=>[5,4,7,2,3,6,1]=>[1,6,3,2,7,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,2,7,4,6,1,3]=>[2,5,1,7,4,6,3]=>[3,6,4,7,1,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,2,7,4,6,3,1]=>[5,7,2,4,6,3,1]=>[1,3,6,4,2,7,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,2,7,6,1,3,4]=>[2,1,7,5,3,6,4]=>[4,6,3,5,7,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,2,7,6,1,4,3]=>[7,2,5,6,1,4,3]=>[3,4,1,6,5,2,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[5,2,7,6,3,1,4]=>[2,7,5,6,3,1,4]=>[4,1,3,6,5,7,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,2,7,6,3,4,1]=>[2,7,5,6,3,4,1]=>[1,4,3,6,5,7,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,2,7,6,4,1,3]=>[2,7,5,6,1,4,3]=>[3,4,1,6,5,7,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[5,2,7,6,4,3,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,3,1,2,4,6,7]=>[1,3,5,2,4,6,7]=>[7,6,4,2,5,3,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[5,3,1,2,4,7,6]=>[7,1,3,5,2,4,6]=>[6,4,2,5,3,1,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,3,1,2,6,4,7]=>[5,1,6,3,2,4,7]=>[7,4,2,3,6,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,3,1,2,6,7,4]=>[5,1,6,3,2,7,4]=>[4,7,2,3,6,1,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,3,1,2,7,4,6]=>[5,1,3,7,2,4,6]=>[6,4,2,7,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,3,1,2,7,6,4]=>[7,5,1,6,3,2,4]=>[4,2,3,6,1,5,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,3,1,4,2,6,7]=>[3,5,4,1,2,6,7]=>[7,6,2,1,4,5,3]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[5,3,1,4,2,7,6]=>[7,3,5,4,1,2,6]=>[6,2,1,4,5,3,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,3,1,4,6,2,7]=>[3,5,4,1,6,2,7]=>[7,2,6,1,4,5,3]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[5,3,1,4,6,7,2]=>[3,5,4,1,6,7,2]=>[2,7,6,1,4,5,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[5,3,1,4,7,2,6]=>[3,5,4,1,2,7,6]=>[6,7,2,1,4,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,3,1,4,7,6,2]=>[7,3,5,4,1,6,2]=>[2,6,1,4,5,3,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,3,1,6,2,4,7]=>[3,5,1,6,2,4,7]=>[7,4,2,6,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,3,1,6,2,7,4]=>[5,6,3,7,1,2,4]=>[4,2,1,7,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,3,1,6,4,2,7]=>[5,6,3,4,1,2,7]=>[7,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[5,3,1,6,4,7,2]=>[5,6,3,4,1,7,2]=>[2,7,1,4,3,6,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[5,3,1,6,7,2,4]=>[3,5,1,6,2,7,4]=>[4,7,2,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,3,1,6,7,4,2]=>[5,6,3,7,1,4,2]=>[2,4,1,7,3,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,3,1,7,2,4,6]=>[3,5,1,2,7,4,6]=>[6,4,7,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,3,1,7,2,6,4]=>[5,7,3,1,6,2,4]=>[4,2,6,1,3,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,3,1,7,4,2,6]=>[5,3,7,4,1,2,6]=>[6,2,1,4,7,3,5]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,3,1,7,4,6,2]=>[5,3,7,4,1,6,2]=>[2,6,1,4,7,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,3,1,7,6,2,4]=>[3,7,5,1,6,2,4]=>[4,2,6,1,5,7,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,3,1,7,6,4,2]=>[7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,3,2,1,4,6,7]=>[3,5,2,1,4,6,7]=>[7,6,4,1,2,5,3]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[5,3,2,1,4,7,6]=>[7,3,5,2,1,4,6]=>[6,4,1,2,5,3,7]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[5,3,2,1,6,4,7]=>[5,6,3,2,1,4,7]=>[7,4,1,2,3,6,5]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,2,1,6,7,4]=>[5,6,3,2,1,7,4]=>[4,7,1,2,3,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[5,3,2,1,7,4,6]=>[5,3,7,2,1,4,6]=>[6,4,1,2,7,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[5,3,2,1,7,6,4]=>[7,5,6,3,2,1,4]=>[4,1,2,3,6,5,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,3,2,4,1,6,7]=>[3,5,2,4,1,6,7]=>[7,6,1,4,2,5,3]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[5,3,2,4,1,7,6]=>[7,3,5,2,4,1,6]=>[6,1,4,2,5,3,7]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[5,3,2,4,6,1,7]=>[3,5,2,4,6,1,7]=>[7,1,6,4,2,5,3]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[5,3,2,4,6,7,1]=>[3,5,2,4,6,7,1]=>[1,7,6,4,2,5,3]=>[.,[[[[.,[.,.]],[.,.]],.],.]]
[5,3,2,4,7,1,6]=>[3,5,2,4,1,7,6]=>[6,7,1,4,2,5,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[5,3,2,4,7,6,1]=>[7,3,5,2,4,6,1]=>[1,6,4,2,5,3,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,3,2,6,1,4,7]=>[3,5,2,1,6,4,7]=>[7,4,6,1,2,5,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,2,6,1,7,4]=>[5,6,3,2,7,1,4]=>[4,1,7,2,3,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[5,3,2,6,4,1,7]=>[5,6,3,2,4,1,7]=>[7,1,4,2,3,6,5]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[5,3,2,6,4,7,1]=>[5,6,3,2,4,7,1]=>[1,7,4,2,3,6,5]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[5,3,2,6,7,1,4]=>[3,5,2,1,6,7,4]=>[4,7,6,1,2,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[5,3,2,6,7,4,1]=>[5,6,3,2,7,4,1]=>[1,4,7,2,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,3,2,7,1,4,6]=>[3,5,2,1,4,7,6]=>[6,7,4,1,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[5,3,2,7,1,6,4]=>[5,7,3,2,1,6,4]=>[4,6,1,2,3,7,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,3,2,7,4,1,6]=>[5,3,7,2,4,1,6]=>[6,1,4,2,7,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[5,3,2,7,4,6,1]=>[5,3,7,2,4,6,1]=>[1,6,4,2,7,3,5]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,3,2,7,6,1,4]=>[3,7,5,2,1,6,4]=>[4,6,1,2,5,7,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,3,2,7,6,4,1]=>[7,5,6,3,2,4,1]=>[1,4,2,3,6,5,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,4,1,2,6,7]=>[1,3,5,4,2,6,7]=>[7,6,2,4,5,3,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[5,3,4,1,2,7,6]=>[7,1,3,5,4,2,6]=>[6,2,4,5,3,1,7]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,3,4,1,6,2,7]=>[3,5,4,6,1,2,7]=>[7,2,1,6,4,5,3]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[5,3,4,1,6,7,2]=>[3,5,4,6,1,7,2]=>[2,7,1,6,4,5,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[5,3,4,1,7,2,6]=>[3,5,4,1,7,2,6]=>[6,2,7,1,4,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,3,4,1,7,6,2]=>[7,3,5,4,6,1,2]=>[2,1,6,4,5,3,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,3,4,2,1,6,7]=>[3,5,4,2,1,6,7]=>[7,6,1,2,4,5,3]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[5,3,4,2,1,7,6]=>[7,3,5,4,2,1,6]=>[6,1,2,4,5,3,7]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[5,3,4,2,6,1,7]=>[3,5,4,2,6,1,7]=>[7,1,6,2,4,5,3]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[5,3,4,2,6,7,1]=>[3,5,4,2,6,7,1]=>[1,7,6,2,4,5,3]=>[.,[[[.,[[.,.],[.,.]]],.],.]]
[5,3,4,2,7,1,6]=>[3,5,4,2,1,7,6]=>[6,7,1,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[5,3,4,2,7,6,1]=>[7,3,5,4,2,6,1]=>[1,6,2,4,5,3,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,3,4,6,1,2,7]=>[1,3,5,4,6,2,7]=>[7,2,6,4,5,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[5,3,4,6,1,7,2]=>[3,5,4,6,7,1,2]=>[2,1,7,6,4,5,3]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[5,3,4,6,2,1,7]=>[3,5,4,6,2,1,7]=>[7,1,2,6,4,5,3]=>[[.,[.,[[[.,.],[.,.]],.]]],.]
[5,3,4,6,2,7,1]=>[3,5,4,6,2,7,1]=>[1,7,2,6,4,5,3]=>[.,[[.,[[[.,.],[.,.]],.]],.]]
[5,3,4,6,7,1,2]=>[1,3,5,4,6,7,2]=>[2,7,6,4,5,3,1]=>[[.,.],[[[[.,.],[.,.]],.],.]]
[5,3,4,6,7,2,1]=>[3,5,4,6,7,2,1]=>[1,2,7,6,4,5,3]=>[.,[.,[[[[.,.],[.,.]],.],.]]]
[5,3,4,7,1,2,6]=>[1,3,5,4,2,7,6]=>[6,7,2,4,5,3,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,3,4,7,1,6,2]=>[3,5,4,7,1,6,2]=>[2,6,1,7,4,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,3,4,7,2,1,6]=>[3,5,4,2,7,1,6]=>[6,1,7,2,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[5,3,4,7,2,6,1]=>[3,5,4,2,7,6,1]=>[1,6,7,2,4,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,3,4,7,6,1,2]=>[1,7,3,5,4,6,2]=>[2,6,4,5,3,7,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,3,4,7,6,2,1]=>[7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,3,6,1,2,4,7]=>[1,3,5,2,6,4,7]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,3,6,1,2,7,4]=>[5,1,6,3,7,2,4]=>[4,2,7,3,6,1,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,3,6,1,4,2,7]=>[3,5,6,1,4,2,7]=>[7,2,4,1,6,5,3]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[5,3,6,1,4,7,2]=>[3,5,6,1,4,7,2]=>[2,7,4,1,6,5,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[5,3,6,1,7,2,4]=>[3,5,1,6,7,2,4]=>[4,2,7,6,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,3,6,1,7,4,2]=>[5,6,3,7,4,1,2]=>[2,1,4,7,3,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,3,6,2,1,4,7]=>[3,5,2,6,1,4,7]=>[7,4,1,6,2,5,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,6,2,1,7,4]=>[5,6,3,7,2,1,4]=>[4,1,2,7,3,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[5,3,6,2,4,1,7]=>[3,5,2,6,4,1,7]=>[7,1,4,6,2,5,3]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[5,3,6,2,4,7,1]=>[3,5,2,6,4,7,1]=>[1,7,4,6,2,5,3]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[5,3,6,2,7,1,4]=>[3,5,2,6,1,7,4]=>[4,7,1,6,2,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[5,3,6,2,7,4,1]=>[5,6,3,7,2,4,1]=>[1,4,2,7,3,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,3,6,4,1,2,7]=>[1,5,6,3,4,2,7]=>[7,2,4,3,6,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[5,3,6,4,1,7,2]=>[5,6,3,4,7,1,2]=>[2,1,7,4,3,6,5]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[5,3,6,4,2,1,7]=>[5,6,3,4,2,1,7]=>[7,1,2,4,3,6,5]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[5,3,6,4,2,7,1]=>[5,6,3,4,2,7,1]=>[1,7,2,4,3,6,5]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[5,3,6,4,7,1,2]=>[1,5,6,3,4,7,2]=>[2,7,4,3,6,5,1]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[5,3,6,4,7,2,1]=>[5,6,3,4,7,2,1]=>[1,2,7,4,3,6,5]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[5,3,6,7,1,2,4]=>[1,3,5,2,6,7,4]=>[4,7,6,2,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,3,6,7,1,4,2]=>[3,5,6,1,7,4,2]=>[2,4,7,1,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,3,6,7,2,1,4]=>[3,5,2,6,7,1,4]=>[4,1,7,6,2,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[5,3,6,7,2,4,1]=>[3,5,2,6,7,4,1]=>[1,4,7,6,2,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,3,6,7,4,1,2]=>[1,5,6,3,7,4,2]=>[2,4,7,3,6,5,1]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,3,6,7,4,2,1]=>[5,6,3,7,4,2,1]=>[1,2,4,7,3,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[5,3,7,1,2,4,6]=>[1,3,5,2,4,7,6]=>[6,7,4,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,3,7,1,2,6,4]=>[5,1,7,3,2,6,4]=>[4,6,2,3,7,1,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,3,7,1,4,2,6]=>[3,5,1,7,4,2,6]=>[6,2,4,7,1,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,3,7,1,4,6,2]=>[3,5,4,1,7,6,2]=>[2,6,7,1,4,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,3,7,1,6,2,4]=>[3,5,1,7,2,6,4]=>[4,6,2,7,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,3,7,1,6,4,2]=>[5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,3,7,2,1,4,6]=>[3,5,2,1,7,4,6]=>[6,4,7,1,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[5,3,7,2,1,6,4]=>[5,7,3,2,6,1,4]=>[4,1,6,2,3,7,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,3,7,2,4,1,6]=>[3,5,2,4,7,1,6]=>[6,1,7,4,2,5,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[5,3,7,2,4,6,1]=>[3,5,2,4,7,6,1]=>[1,6,7,4,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,3,7,2,6,1,4]=>[3,5,2,1,7,6,4]=>[4,6,7,1,2,5,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,3,7,2,6,4,1]=>[5,7,3,2,6,4,1]=>[1,4,6,2,3,7,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,7,4,1,2,6]=>[1,5,3,7,4,2,6]=>[6,2,4,7,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,3,7,4,1,6,2]=>[5,3,7,4,6,1,2]=>[2,1,6,4,7,3,5]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,3,7,4,2,1,6]=>[5,3,7,4,2,1,6]=>[6,1,2,4,7,3,5]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[5,3,7,4,2,6,1]=>[5,3,7,4,2,6,1]=>[1,6,2,4,7,3,5]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,3,7,4,6,1,2]=>[1,5,3,7,4,6,2]=>[2,6,4,7,3,5,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,3,7,4,6,2,1]=>[5,3,7,4,6,2,1]=>[1,2,6,4,7,3,5]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,3,7,6,1,2,4]=>[1,3,7,5,2,6,4]=>[4,6,2,5,7,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,3,7,6,1,4,2]=>[3,7,5,6,1,4,2]=>[2,4,1,6,5,7,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,3,7,6,2,1,4]=>[3,7,5,2,6,1,4]=>[4,1,6,2,5,7,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,3,7,6,2,4,1]=>[3,7,5,2,6,4,1]=>[1,4,6,2,5,7,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,7,6,4,1,2]=>[1,7,5,6,3,4,2]=>[2,4,3,6,5,7,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,3,7,6,4,2,1]=>[7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,4,1,2,3,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[5,4,1,2,3,7,6]=>[7,1,2,5,4,3,6]=>[6,3,4,5,2,1,7]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,4,1,2,6,3,7]=>[5,1,4,6,2,3,7]=>[7,3,2,6,4,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[5,4,1,2,6,7,3]=>[5,1,4,6,2,7,3]=>[3,7,2,6,4,1,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[5,4,1,2,7,3,6]=>[5,1,4,2,7,3,6]=>[6,3,7,2,4,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,4,1,2,7,6,3]=>[7,5,1,4,6,2,3]=>[3,2,6,4,1,5,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,4,1,3,2,6,7]=>[5,1,4,3,2,6,7]=>[7,6,2,3,4,1,5]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[5,4,1,3,2,7,6]=>[7,5,1,4,3,2,6]=>[6,2,3,4,1,5,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[5,4,1,3,6,2,7]=>[5,1,4,3,6,2,7]=>[7,2,6,3,4,1,5]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[5,4,1,3,6,7,2]=>[5,1,4,3,6,7,2]=>[2,7,6,3,4,1,5]=>[[.,.],[[[.,[.,[.,.]]],.],.]]
[5,4,1,3,7,2,6]=>[5,1,4,3,2,7,6]=>[6,7,2,3,4,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[5,4,1,3,7,6,2]=>[7,5,1,4,3,6,2]=>[2,6,3,4,1,5,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[5,4,1,6,2,3,7]=>[1,5,4,6,2,3,7]=>[7,3,2,6,4,5,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[5,4,1,6,2,7,3]=>[5,4,6,7,1,2,3]=>[3,2,1,7,6,4,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[5,4,1,6,3,2,7]=>[5,4,6,3,1,2,7]=>[7,2,1,3,6,4,5]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[5,4,1,6,3,7,2]=>[5,4,6,3,1,7,2]=>[2,7,1,3,6,4,5]=>[[.,.],[[.,[[.,[.,.]],.]],.]]
[5,4,1,6,7,2,3]=>[1,5,4,6,2,7,3]=>[3,7,2,6,4,5,1]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[5,4,1,6,7,3,2]=>[5,4,6,7,1,3,2]=>[2,3,1,7,6,4,5]=>[[.,.],[.,[[[.,[.,.]],.],.]]]
[5,4,1,7,2,3,6]=>[1,5,4,2,7,3,6]=>[6,3,7,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,4,1,7,2,6,3]=>[5,4,7,1,6,2,3]=>[3,2,6,1,7,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,4,1,7,3,2,6]=>[5,4,3,7,1,2,6]=>[6,2,1,7,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[5,4,1,7,3,6,2]=>[5,4,7,1,3,6,2]=>[2,6,3,1,7,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[5,4,1,7,6,2,3]=>[1,7,5,4,6,2,3]=>[3,2,6,4,5,7,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,4,1,7,6,3,2]=>[7,5,4,6,3,1,2]=>[2,1,3,6,4,5,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,4,2,1,3,6,7]=>[2,5,4,1,3,6,7]=>[7,6,3,1,4,5,2]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[5,4,2,1,3,7,6]=>[7,2,5,4,1,3,6]=>[6,3,1,4,5,2,7]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,4,2,1,6,3,7]=>[5,4,6,2,1,3,7]=>[7,3,1,2,6,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,4,2,1,6,7,3]=>[5,4,6,2,1,7,3]=>[3,7,1,2,6,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[5,4,2,1,7,3,6]=>[5,4,2,7,1,3,6]=>[6,3,1,7,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,4,2,1,7,6,3]=>[7,5,4,6,2,1,3]=>[3,1,2,6,4,5,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,4,2,3,1,6,7]=>[2,5,4,3,1,6,7]=>[7,6,1,3,4,5,2]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[5,4,2,3,1,7,6]=>[7,2,5,4,3,1,6]=>[6,1,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[5,4,2,3,6,1,7]=>[2,5,4,3,6,1,7]=>[7,1,6,3,4,5,2]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[5,4,2,3,6,7,1]=>[2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2]=>[.,[[[[.,.],[.,[.,.]]],.],.]]
[5,4,2,3,7,1,6]=>[2,5,4,3,1,7,6]=>[6,7,1,3,4,5,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[5,4,2,3,7,6,1]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,4,2,6,1,3,7]=>[2,5,4,1,6,3,7]=>[7,3,6,1,4,5,2]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,4,2,6,1,7,3]=>[5,4,6,2,7,1,3]=>[3,1,7,2,6,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[5,4,2,6,3,1,7]=>[5,4,6,2,3,1,7]=>[7,1,3,2,6,4,5]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[5,4,2,6,3,7,1]=>[5,4,6,2,3,7,1]=>[1,7,3,2,6,4,5]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[5,4,2,6,7,1,3]=>[2,5,4,1,6,7,3]=>[3,7,6,1,4,5,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[5,4,2,6,7,3,1]=>[5,4,6,2,7,3,1]=>[1,3,7,2,6,4,5]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[5,4,2,7,1,3,6]=>[2,5,4,1,3,7,6]=>[6,7,3,1,4,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,4,2,7,1,6,3]=>[5,4,7,2,1,6,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,4,2,7,3,1,6]=>[5,4,2,7,3,1,6]=>[6,1,3,7,2,4,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[5,4,2,7,3,6,1]=>[5,4,2,7,3,6,1]=>[1,6,3,7,2,4,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,4,2,7,6,1,3]=>[2,7,5,4,1,6,3]=>[3,6,1,4,5,7,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,4,2,7,6,3,1]=>[7,5,4,6,2,3,1]=>[1,3,2,6,4,5,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,4,3,1,2,6,7]=>[1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[5,4,3,1,2,7,6]=>[7,1,5,4,3,2,6]=>[6,2,3,4,5,1,7]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[5,4,3,1,6,2,7]=>[5,4,3,6,1,2,7]=>[7,2,1,6,3,4,5]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[5,4,3,1,6,7,2]=>[5,4,3,6,1,7,2]=>[2,7,1,6,3,4,5]=>[[.,.],[[[.,[.,[.,.]]],.],.]]
[5,4,3,1,7,2,6]=>[5,4,3,1,7,2,6]=>[6,2,7,1,3,4,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[5,4,3,1,7,6,2]=>[7,5,4,3,6,1,2]=>[2,1,6,3,4,5,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,4,3,2,1,7,6]=>[7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,4,3,2,6,1,7]=>[5,4,3,2,6,1,7]=>[7,1,6,2,3,4,5]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[5,4,3,2,6,7,1]=>[5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5]=>[.,[[[.,[.,[.,[.,.]]]],.],.]]
[5,4,3,2,7,1,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,4,3,2,7,6,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,3,6,1,2,7]=>[1,5,4,3,6,2,7]=>[7,2,6,3,4,5,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[5,4,3,6,1,7,2]=>[5,4,3,6,7,1,2]=>[2,1,7,6,3,4,5]=>[[.,.],[[[.,[.,[.,.]]],.],.]]
[5,4,3,6,2,1,7]=>[5,4,3,6,2,1,7]=>[7,1,2,6,3,4,5]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[5,4,3,6,2,7,1]=>[5,4,3,6,2,7,1]=>[1,7,2,6,3,4,5]=>[.,[[.,[[.,[.,[.,.]]],.]],.]]
[5,4,3,6,7,1,2]=>[1,5,4,3,6,7,2]=>[2,7,6,3,4,5,1]=>[[.,.],[[[.,[.,[.,.]]],.],.]]
[5,4,3,6,7,2,1]=>[5,4,3,6,7,2,1]=>[1,2,7,6,3,4,5]=>[.,[.,[[[.,[.,[.,.]]],.],.]]]
[5,4,3,7,1,2,6]=>[1,5,4,3,2,7,6]=>[6,7,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[5,4,3,7,1,6,2]=>[5,4,3,7,1,6,2]=>[2,6,1,7,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[5,4,3,7,2,1,6]=>[5,4,3,2,7,1,6]=>[6,1,7,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,4,3,7,2,6,1]=>[5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,3,7,6,1,2]=>[1,7,5,4,3,6,2]=>[2,6,3,4,5,7,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[5,4,3,7,6,2,1]=>[7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,4,6,1,2,3,7]=>[1,2,5,4,6,3,7]=>[7,3,6,4,5,2,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[5,4,6,1,2,7,3]=>[5,1,4,6,7,2,3]=>[3,2,7,6,4,1,5]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[5,4,6,1,3,2,7]=>[5,1,4,6,3,2,7]=>[7,2,3,6,4,1,5]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[5,4,6,1,3,7,2]=>[5,1,4,6,3,7,2]=>[2,7,3,6,4,1,5]=>[[.,.],[[.,[[.,[.,.]],.]],.]]
[5,4,6,1,7,2,3]=>[1,5,4,6,7,2,3]=>[3,2,7,6,4,5,1]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[5,4,6,1,7,3,2]=>[5,4,6,7,3,1,2]=>[2,1,3,7,6,4,5]=>[[.,.],[.,[[[.,[.,.]],.],.]]]
[5,4,6,2,1,3,7]=>[2,5,4,6,1,3,7]=>[7,3,1,6,4,5,2]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,4,6,2,1,7,3]=>[5,4,6,7,2,1,3]=>[3,1,2,7,6,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[5,4,6,2,3,1,7]=>[2,5,4,6,3,1,7]=>[7,1,3,6,4,5,2]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[5,4,6,2,3,7,1]=>[2,5,4,6,3,7,1]=>[1,7,3,6,4,5,2]=>[.,[[[.,.],[[.,[.,.]],.]],.]]
[5,4,6,2,7,1,3]=>[2,5,4,6,1,7,3]=>[3,7,1,6,4,5,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[5,4,6,2,7,3,1]=>[5,4,6,7,2,3,1]=>[1,3,2,7,6,4,5]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[5,4,6,3,1,2,7]=>[1,5,4,6,3,2,7]=>[7,2,3,6,4,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[5,4,6,3,1,7,2]=>[5,4,6,3,7,1,2]=>[2,1,7,3,6,4,5]=>[[.,.],[[.,[[.,[.,.]],.]],.]]
[5,4,6,3,2,1,7]=>[5,4,6,3,2,1,7]=>[7,1,2,3,6,4,5]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[5,4,6,3,2,7,1]=>[5,4,6,3,2,7,1]=>[1,7,2,3,6,4,5]=>[.,[[.,[.,[[.,[.,.]],.]]],.]]
[5,4,6,3,7,1,2]=>[1,5,4,6,3,7,2]=>[2,7,3,6,4,5,1]=>[[.,.],[[.,[[.,[.,.]],.]],.]]
[5,4,6,3,7,2,1]=>[5,4,6,3,7,2,1]=>[1,2,7,3,6,4,5]=>[.,[.,[[.,[[.,[.,.]],.]],.]]]
[5,4,6,7,1,2,3]=>[1,2,5,4,6,7,3]=>[3,7,6,4,5,2,1]=>[[[.,.],.],[[[.,[.,.]],.],.]]
[5,4,6,7,1,3,2]=>[5,1,4,6,7,3,2]=>[2,3,7,6,4,1,5]=>[[.,.],[.,[[[.,[.,.]],.],.]]]
[5,4,6,7,2,1,3]=>[2,5,4,6,7,1,3]=>[3,1,7,6,4,5,2]=>[[.,[.,.]],[[[.,[.,.]],.],.]]
[5,4,6,7,2,3,1]=>[2,5,4,6,7,3,1]=>[1,3,7,6,4,5,2]=>[.,[[.,.],[[[.,[.,.]],.],.]]]
[5,4,6,7,3,1,2]=>[1,5,4,6,7,3,2]=>[2,3,7,6,4,5,1]=>[[.,.],[.,[[[.,[.,.]],.],.]]]
[5,4,6,7,3,2,1]=>[5,4,6,7,3,2,1]=>[1,2,3,7,6,4,5]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]
[5,4,7,1,2,3,6]=>[1,2,5,4,3,7,6]=>[6,7,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,4,7,1,2,6,3]=>[5,1,4,7,2,6,3]=>[3,6,2,7,4,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,4,7,1,3,2,6]=>[5,1,4,3,7,2,6]=>[6,2,7,3,4,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[5,4,7,1,3,6,2]=>[5,1,4,3,7,6,2]=>[2,6,7,3,4,1,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[5,4,7,1,6,2,3]=>[1,5,4,7,2,6,3]=>[3,6,2,7,4,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,4,7,1,6,3,2]=>[5,4,7,6,1,3,2]=>[2,3,1,6,7,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,4,7,2,1,3,6]=>[2,5,4,1,7,3,6]=>[6,3,7,1,4,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,4,7,2,1,6,3]=>[5,4,7,2,6,1,3]=>[3,1,6,2,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,4,7,2,3,1,6]=>[2,5,4,3,7,1,6]=>[6,1,7,3,4,5,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[5,4,7,2,3,6,1]=>[2,5,4,3,7,6,1]=>[1,6,7,3,4,5,2]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,4,7,2,6,1,3]=>[2,5,4,1,7,6,3]=>[3,6,7,1,4,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,4,7,2,6,3,1]=>[5,4,7,2,6,3,1]=>[1,3,6,2,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,4,7,3,1,2,6]=>[1,5,4,3,7,2,6]=>[6,2,7,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[5,4,7,3,1,6,2]=>[5,4,3,7,6,1,2]=>[2,1,6,7,3,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[5,4,7,3,2,1,6]=>[5,4,3,7,2,1,6]=>[6,1,2,7,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,4,7,3,2,6,1]=>[5,4,3,7,2,6,1]=>[1,6,2,7,3,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,7,3,6,1,2]=>[1,5,4,3,7,6,2]=>[2,6,7,3,4,5,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[5,4,7,3,6,2,1]=>[5,4,3,7,6,2,1]=>[1,2,6,7,3,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,4,7,6,1,2,3]=>[1,2,7,5,4,6,3]=>[3,6,4,5,7,2,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,4,7,6,1,3,2]=>[7,1,5,4,6,3,2]=>[2,3,6,4,5,1,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,4,7,6,2,1,3]=>[2,7,5,4,6,1,3]=>[3,1,6,4,5,7,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,4,7,6,2,3,1]=>[2,7,5,4,6,3,1]=>[1,3,6,4,5,7,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,4,7,6,3,1,2]=>[1,7,5,4,6,3,2]=>[2,3,6,4,5,7,1]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,4,7,6,3,2,1]=>[7,5,4,6,3,2,1]=>[1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,6,1,2,3,4,7]=>[1,2,3,5,6,4,7]=>[7,4,6,5,3,2,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,6,1,2,3,7,4]=>[5,1,2,6,7,3,4]=>[4,3,7,6,2,1,5]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,6,1,2,4,3,7]=>[5,1,2,6,4,3,7]=>[7,3,4,6,2,1,5]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[5,6,1,2,4,7,3]=>[5,1,2,6,4,7,3]=>[3,7,4,6,2,1,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[5,6,1,2,7,3,4]=>[1,5,2,6,7,3,4]=>[4,3,7,6,2,5,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,6,1,2,7,4,3]=>[5,6,1,7,4,2,3]=>[3,2,4,7,1,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[5,6,1,3,2,4,7]=>[1,5,3,6,2,4,7]=>[7,4,2,6,3,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,6,1,3,2,7,4]=>[5,6,1,7,3,2,4]=>[4,2,3,7,1,6,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,6,1,3,4,2,7]=>[3,1,5,6,4,2,7]=>[7,2,4,6,5,1,3]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[5,6,1,3,4,7,2]=>[3,1,5,6,4,7,2]=>[2,7,4,6,5,1,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[5,6,1,3,7,2,4]=>[1,5,3,6,2,7,4]=>[4,7,2,6,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,6,1,3,7,4,2]=>[5,6,1,7,3,4,2]=>[2,4,3,7,1,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,6,1,4,2,3,7]=>[1,5,2,6,4,3,7]=>[7,3,4,6,2,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[5,6,1,4,2,7,3]=>[5,6,1,4,7,2,3]=>[3,2,7,4,1,6,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[5,6,1,4,3,2,7]=>[5,6,1,4,3,2,7]=>[7,2,3,4,1,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[5,6,1,4,3,7,2]=>[5,6,1,4,3,7,2]=>[2,7,3,4,1,6,5]=>[[.,.],[[.,[.,[[.,.],.]]],.]]
[5,6,1,4,7,2,3]=>[1,5,2,6,4,7,3]=>[3,7,4,6,2,5,1]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[5,6,1,4,7,3,2]=>[5,6,1,4,7,3,2]=>[2,3,7,4,1,6,5]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[5,6,1,7,2,3,4]=>[1,2,5,6,7,3,4]=>[4,3,7,6,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,6,1,7,2,4,3]=>[5,1,6,7,4,2,3]=>[3,2,4,7,6,1,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[5,6,1,7,3,2,4]=>[3,5,6,7,1,2,4]=>[4,2,1,7,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,6,1,7,3,4,2]=>[5,1,6,7,3,4,2]=>[2,4,3,7,6,1,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,6,1,7,4,2,3]=>[1,5,6,7,4,2,3]=>[3,2,4,7,6,5,1]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[5,6,1,7,4,3,2]=>[5,6,7,4,3,1,2]=>[2,1,3,4,7,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[5,6,2,1,3,4,7]=>[2,1,5,6,3,4,7]=>[7,4,3,6,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,6,2,1,3,7,4]=>[5,2,6,7,1,3,4]=>[4,3,1,7,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,6,2,1,4,3,7]=>[5,2,6,4,1,3,7]=>[7,3,1,4,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[5,6,2,1,4,7,3]=>[5,2,6,4,1,7,3]=>[3,7,1,4,6,2,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[5,6,2,1,7,3,4]=>[2,5,6,7,1,3,4]=>[4,3,1,7,6,5,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,6,2,1,7,4,3]=>[5,6,7,4,2,1,3]=>[3,1,2,4,7,6,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[5,6,2,3,1,4,7]=>[2,3,5,6,1,4,7]=>[7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,6,2,3,1,7,4]=>[5,2,6,7,3,1,4]=>[4,1,3,7,6,2,5]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,6,2,3,4,1,7]=>[2,3,5,6,4,1,7]=>[7,1,4,6,5,3,2]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[5,6,2,3,4,7,1]=>[2,3,5,6,4,7,1]=>[1,7,4,6,5,3,2]=>[.,[[[[.,.],.],[[.,.],.]],.]]
[5,6,2,3,7,1,4]=>[2,3,5,6,1,7,4]=>[4,7,1,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,6,2,3,7,4,1]=>[5,2,6,7,3,4,1]=>[1,4,3,7,6,2,5]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[5,6,2,4,1,3,7]=>[2,1,5,6,4,3,7]=>[7,3,4,6,5,1,2]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[5,6,2,4,1,7,3]=>[5,2,6,4,7,1,3]=>[3,1,7,4,6,2,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[5,6,2,4,3,1,7]=>[5,2,6,4,3,1,7]=>[7,1,3,4,6,2,5]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[5,6,2,4,3,7,1]=>[5,2,6,4,3,7,1]=>[1,7,3,4,6,2,5]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[5,6,2,4,7,1,3]=>[2,1,5,6,4,7,3]=>[3,7,4,6,5,1,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[5,6,2,4,7,3,1]=>[5,2,6,4,7,3,1]=>[1,3,7,4,6,2,5]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[5,6,2,7,1,3,4]=>[2,1,5,6,3,7,4]=>[4,7,3,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,6,2,7,1,4,3]=>[5,2,6,7,1,4,3]=>[3,4,1,7,6,2,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[5,6,2,7,3,1,4]=>[2,5,6,7,3,1,4]=>[4,1,3,7,6,5,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,6,2,7,3,4,1]=>[2,5,6,7,3,4,1]=>[1,4,3,7,6,5,2]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[5,6,2,7,4,1,3]=>[2,5,6,7,1,4,3]=>[3,4,1,7,6,5,2]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[5,6,2,7,4,3,1]=>[5,6,7,4,2,3,1]=>[1,3,2,4,7,6,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[5,6,3,1,2,4,7]=>[1,3,5,6,2,4,7]=>[7,4,2,6,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,6,3,1,2,7,4]=>[5,1,6,7,3,2,4]=>[4,2,3,7,6,1,5]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,6,3,1,4,2,7]=>[3,5,6,4,1,2,7]=>[7,2,1,4,6,5,3]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[5,6,3,1,4,7,2]=>[3,5,6,4,1,7,2]=>[2,7,1,4,6,5,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[5,6,3,1,7,2,4]=>[3,5,6,1,7,2,4]=>[4,2,7,1,6,5,3]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,6,3,1,7,4,2]=>[5,6,7,3,4,1,2]=>[2,1,4,3,7,6,5]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,6,3,2,1,4,7]=>[3,5,6,2,1,4,7]=>[7,4,1,2,6,5,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,6,3,2,1,7,4]=>[5,6,7,3,2,1,4]=>[4,1,2,3,7,6,5]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[5,6,3,2,4,1,7]=>[3,5,6,2,4,1,7]=>[7,1,4,2,6,5,3]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[5,6,3,2,4,7,1]=>[3,5,6,2,4,7,1]=>[1,7,4,2,6,5,3]=>[.,[[[.,[.,.]],[[.,.],.]],.]]
[5,6,3,2,7,1,4]=>[3,5,6,2,1,7,4]=>[4,7,1,2,6,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[5,6,3,2,7,4,1]=>[5,6,7,3,2,4,1]=>[1,4,2,3,7,6,5]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,6,3,4,1,2,7]=>[1,3,5,6,4,2,7]=>[7,2,4,6,5,3,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[5,6,3,4,1,7,2]=>[3,5,6,4,7,1,2]=>[2,1,7,4,6,5,3]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[5,6,3,4,2,1,7]=>[3,5,6,4,2,1,7]=>[7,1,2,4,6,5,3]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[5,6,3,4,2,7,1]=>[3,5,6,4,2,7,1]=>[1,7,2,4,6,5,3]=>[.,[[.,[[.,.],[[.,.],.]]],.]]
[5,6,3,4,7,1,2]=>[1,3,5,6,4,7,2]=>[2,7,4,6,5,3,1]=>[[.,.],[[[.,.],[[.,.],.]],.]]
[5,6,3,4,7,2,1]=>[3,5,6,4,7,2,1]=>[1,2,7,4,6,5,3]=>[.,[.,[[[.,.],[[.,.],.]],.]]]
[5,6,3,7,1,2,4]=>[1,3,5,6,2,7,4]=>[4,7,2,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,6,3,7,1,4,2]=>[3,5,6,7,1,4,2]=>[2,4,1,7,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,6,3,7,2,1,4]=>[3,5,6,2,7,1,4]=>[4,1,7,2,6,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[5,6,3,7,2,4,1]=>[3,5,6,2,7,4,1]=>[1,4,7,2,6,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,6,3,7,4,1,2]=>[1,5,6,7,3,4,2]=>[2,4,3,7,6,5,1]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,6,3,7,4,2,1]=>[5,6,7,3,4,2,1]=>[1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[5,6,4,1,2,3,7]=>[1,2,5,6,4,3,7]=>[7,3,4,6,5,2,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[5,6,4,1,2,7,3]=>[5,1,6,4,7,2,3]=>[3,2,7,4,6,1,5]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[5,6,4,1,3,2,7]=>[5,1,6,4,3,2,7]=>[7,2,3,4,6,1,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[5,6,4,1,3,7,2]=>[5,1,6,4,3,7,2]=>[2,7,3,4,6,1,5]=>[[.,.],[[.,[.,[[.,.],.]]],.]]
[5,6,4,1,7,2,3]=>[1,5,6,4,7,2,3]=>[3,2,7,4,6,5,1]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[5,6,4,1,7,3,2]=>[5,6,4,7,3,1,2]=>[2,1,3,7,4,6,5]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[5,6,4,2,1,3,7]=>[2,5,6,4,1,3,7]=>[7,3,1,4,6,5,2]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[5,6,4,2,1,7,3]=>[5,6,4,7,2,1,3]=>[3,1,2,7,4,6,5]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[5,6,4,2,3,1,7]=>[2,5,6,4,3,1,7]=>[7,1,3,4,6,5,2]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[5,6,4,2,3,7,1]=>[2,5,6,4,3,7,1]=>[1,7,3,4,6,5,2]=>[.,[[[.,.],[.,[[.,.],.]]],.]]
[5,6,4,2,7,1,3]=>[2,5,6,4,1,7,3]=>[3,7,1,4,6,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[5,6,4,2,7,3,1]=>[5,6,4,7,2,3,1]=>[1,3,2,7,4,6,5]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[5,6,4,3,1,2,7]=>[1,5,6,4,3,2,7]=>[7,2,3,4,6,5,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[5,6,4,3,1,7,2]=>[5,6,4,3,7,1,2]=>[2,1,7,3,4,6,5]=>[[.,.],[[.,[.,[[.,.],.]]],.]]
[5,6,4,3,2,1,7]=>[5,6,4,3,2,1,7]=>[7,1,2,3,4,6,5]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[5,6,4,3,2,7,1]=>[5,6,4,3,2,7,1]=>[1,7,2,3,4,6,5]=>[.,[[.,[.,[.,[[.,.],.]]]],.]]
[5,6,4,3,7,1,2]=>[1,5,6,4,3,7,2]=>[2,7,3,4,6,5,1]=>[[.,.],[[.,[.,[[.,.],.]]],.]]
[5,6,4,3,7,2,1]=>[5,6,4,3,7,2,1]=>[1,2,7,3,4,6,5]=>[.,[.,[[.,[.,[[.,.],.]]],.]]]
[5,6,4,7,1,2,3]=>[1,2,5,6,4,7,3]=>[3,7,4,6,5,2,1]=>[[[.,.],.],[[.,[[.,.],.]],.]]
[5,6,4,7,1,3,2]=>[5,1,6,4,7,3,2]=>[2,3,7,4,6,1,5]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[5,6,4,7,2,1,3]=>[2,5,6,4,7,1,3]=>[3,1,7,4,6,5,2]=>[[.,[.,.]],[[.,[[.,.],.]],.]]
[5,6,4,7,2,3,1]=>[2,5,6,4,7,3,1]=>[1,3,7,4,6,5,2]=>[.,[[.,.],[[.,[[.,.],.]],.]]]
[5,6,4,7,3,1,2]=>[1,5,6,4,7,3,2]=>[2,3,7,4,6,5,1]=>[[.,.],[.,[[.,[[.,.],.]],.]]]
[5,6,4,7,3,2,1]=>[5,6,4,7,3,2,1]=>[1,2,3,7,4,6,5]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]
[5,6,7,1,2,3,4]=>[1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],.]]
[5,6,7,1,2,4,3]=>[5,1,2,6,7,4,3]=>[3,4,7,6,2,1,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[5,6,7,1,3,2,4]=>[1,5,3,6,7,2,4]=>[4,2,7,6,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,6,7,1,3,4,2]=>[3,1,5,6,7,4,2]=>[2,4,7,6,5,1,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,6,7,1,4,2,3]=>[1,5,2,6,7,4,3]=>[3,4,7,6,2,5,1]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[5,6,7,1,4,3,2]=>[5,6,1,7,4,3,2]=>[2,3,4,7,1,6,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[5,6,7,2,1,3,4]=>[2,1,5,6,7,3,4]=>[4,3,7,6,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[5,6,7,2,1,4,3]=>[5,2,6,7,4,1,3]=>[3,1,4,7,6,2,5]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[5,6,7,2,3,1,4]=>[2,3,5,6,7,1,4]=>[4,1,7,6,5,3,2]=>[[.,[[.,.],.]],[[[.,.],.],.]]
[5,6,7,2,3,4,1]=>[2,3,5,6,7,4,1]=>[1,4,7,6,5,3,2]=>[.,[[[.,.],.],[[[.,.],.],.]]]
[5,6,7,2,4,1,3]=>[2,1,5,6,7,4,3]=>[3,4,7,6,5,1,2]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[5,6,7,2,4,3,1]=>[5,2,6,7,4,3,1]=>[1,3,4,7,6,2,5]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[5,6,7,3,1,2,4]=>[1,3,5,6,7,2,4]=>[4,2,7,6,5,3,1]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[5,6,7,3,1,4,2]=>[3,5,6,7,4,1,2]=>[2,1,4,7,6,5,3]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,6,7,3,2,1,4]=>[3,5,6,7,2,1,4]=>[4,1,2,7,6,5,3]=>[[.,[.,[.,.]]],[[[.,.],.],.]]
[5,6,7,3,2,4,1]=>[3,5,6,7,2,4,1]=>[1,4,2,7,6,5,3]=>[.,[[.,[.,.]],[[[.,.],.],.]]]
[5,6,7,3,4,1,2]=>[1,3,5,6,7,4,2]=>[2,4,7,6,5,3,1]=>[[.,.],[[.,.],[[[.,.],.],.]]]
[5,6,7,3,4,2,1]=>[3,5,6,7,4,2,1]=>[1,2,4,7,6,5,3]=>[.,[.,[[.,.],[[[.,.],.],.]]]]
[5,6,7,4,1,2,3]=>[1,2,5,6,7,4,3]=>[3,4,7,6,5,2,1]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[5,6,7,4,1,3,2]=>[5,1,6,7,4,3,2]=>[2,3,4,7,6,1,5]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[5,6,7,4,2,1,3]=>[2,5,6,7,4,1,3]=>[3,1,4,7,6,5,2]=>[[.,[.,.]],[.,[[[.,.],.],.]]]
[5,6,7,4,2,3,1]=>[2,5,6,7,4,3,1]=>[1,3,4,7,6,5,2]=>[.,[[.,.],[.,[[[.,.],.],.]]]]
[5,6,7,4,3,1,2]=>[1,5,6,7,4,3,2]=>[2,3,4,7,6,5,1]=>[[.,.],[.,[.,[[[.,.],.],.]]]]
[5,6,7,4,3,2,1]=>[5,6,7,4,3,2,1]=>[1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]
[5,7,1,2,3,4,6]=>[1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[5,7,1,2,3,6,4]=>[5,1,2,7,3,6,4]=>[4,6,3,7,2,1,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,7,1,2,4,3,6]=>[5,1,2,4,7,3,6]=>[6,3,7,4,2,1,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,7,1,2,4,6,3]=>[5,1,2,4,7,6,3]=>[3,6,7,4,2,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,7,1,2,6,3,4]=>[1,5,2,7,3,6,4]=>[4,6,3,7,2,5,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,7,1,2,6,4,3]=>[5,7,1,6,2,4,3]=>[3,4,2,6,1,7,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[5,7,1,3,2,4,6]=>[1,5,3,2,7,4,6]=>[6,4,7,2,3,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,7,1,3,2,6,4]=>[5,7,1,3,6,2,4]=>[4,2,6,3,1,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,7,1,3,4,2,6]=>[3,1,5,4,7,2,6]=>[6,2,7,4,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,7,1,3,4,6,2]=>[3,1,5,4,7,6,2]=>[2,6,7,4,5,1,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,7,1,3,6,2,4]=>[1,5,3,2,7,6,4]=>[4,6,7,2,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,7,1,3,6,4,2]=>[5,7,1,3,6,4,2]=>[2,4,6,3,1,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,7,1,4,2,3,6]=>[1,5,2,4,7,3,6]=>[6,3,7,4,2,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,7,1,4,2,6,3]=>[5,4,1,7,6,2,3]=>[3,2,6,7,1,4,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,7,1,4,3,2,6]=>[5,1,7,4,3,2,6]=>[6,2,3,4,7,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[5,7,1,4,3,6,2]=>[5,4,1,7,3,6,2]=>[2,6,3,7,1,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[5,7,1,4,6,2,3]=>[1,5,2,4,7,6,3]=>[3,6,7,4,2,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,7,1,4,6,3,2]=>[5,4,1,7,6,3,2]=>[2,3,6,7,1,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,7,1,6,2,3,4]=>[1,2,5,7,3,6,4]=>[4,6,3,7,5,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,7,1,6,2,4,3]=>[5,1,7,6,2,4,3]=>[3,4,2,6,7,1,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[5,7,1,6,3,2,4]=>[1,5,7,6,3,2,4]=>[4,2,3,6,7,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,7,1,6,3,4,2]=>[5,1,7,3,6,4,2]=>[2,4,6,3,7,1,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,7,1,6,4,2,3]=>[1,5,7,6,2,4,3]=>[3,4,2,6,7,5,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[5,7,1,6,4,3,2]=>[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[5,7,2,1,3,4,6]=>[2,1,5,3,7,4,6]=>[6,4,7,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[5,7,2,1,3,6,4]=>[5,2,7,1,6,3,4]=>[4,3,6,1,7,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,7,2,1,4,3,6]=>[5,2,4,7,1,3,6]=>[6,3,1,7,4,2,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,7,2,1,4,6,3]=>[5,2,7,1,4,6,3]=>[3,6,4,1,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,7,2,1,6,3,4]=>[2,5,7,1,6,3,4]=>[4,3,6,1,7,5,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,7,2,1,6,4,3]=>[5,7,6,2,4,1,3]=>[3,1,4,2,6,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[5,7,2,3,1,4,6]=>[2,3,5,1,7,4,6]=>[6,4,7,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[5,7,2,3,1,6,4]=>[5,2,7,3,6,1,4]=>[4,1,6,3,7,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,7,2,3,4,1,6]=>[2,3,5,4,7,1,6]=>[6,1,7,4,5,3,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[5,7,2,3,4,6,1]=>[2,3,5,4,7,6,1]=>[1,6,7,4,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,7,2,3,6,1,4]=>[2,3,5,1,7,6,4]=>[4,6,7,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,7,2,3,6,4,1]=>[5,2,7,3,6,4,1]=>[1,4,6,3,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,7,2,4,1,3,6]=>[2,1,5,4,7,3,6]=>[6,3,7,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,7,2,4,1,6,3]=>[5,2,4,7,6,1,3]=>[3,1,6,7,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,7,2,4,3,1,6]=>[5,2,4,7,3,1,6]=>[6,1,3,7,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[5,7,2,4,3,6,1]=>[5,2,4,7,3,6,1]=>[1,6,3,7,4,2,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,7,2,4,6,1,3]=>[2,1,5,4,7,6,3]=>[3,6,7,4,5,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,7,2,4,6,3,1]=>[5,2,4,7,6,3,1]=>[1,3,6,7,4,2,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,7,2,6,1,3,4]=>[2,1,5,3,7,6,4]=>[4,6,7,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,7,2,6,1,4,3]=>[5,2,7,1,6,4,3]=>[3,4,6,1,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[5,7,2,6,3,1,4]=>[2,5,7,3,6,1,4]=>[4,1,6,3,7,5,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,7,2,6,3,4,1]=>[2,5,7,3,6,4,1]=>[1,4,6,3,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,7,2,6,4,1,3]=>[2,5,7,1,6,4,3]=>[3,4,6,1,7,5,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[5,7,2,6,4,3,1]=>[5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,7,3,1,2,4,6]=>[1,3,5,2,7,4,6]=>[6,4,7,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[5,7,3,1,2,6,4]=>[5,1,7,3,6,2,4]=>[4,2,6,3,7,1,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,7,3,1,4,2,6]=>[3,5,4,7,1,2,6]=>[6,2,1,7,4,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,7,3,1,4,6,2]=>[3,5,7,1,4,6,2]=>[2,6,4,1,7,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,7,3,1,6,2,4]=>[3,5,1,7,6,2,4]=>[4,2,6,7,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,7,3,1,6,4,2]=>[5,7,3,6,4,1,2]=>[2,1,4,6,3,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,7,3,2,1,4,6]=>[3,5,2,7,1,4,6]=>[6,4,1,7,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[5,7,3,2,1,6,4]=>[5,7,3,6,2,1,4]=>[4,1,2,6,3,7,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,7,3,2,4,1,6]=>[3,5,2,7,4,1,6]=>[6,1,4,7,2,5,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[5,7,3,2,4,6,1]=>[3,5,2,7,4,6,1]=>[1,6,4,7,2,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,7,3,2,6,1,4]=>[3,5,2,7,1,6,4]=>[4,6,1,7,2,5,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,7,3,2,6,4,1]=>[5,7,3,6,2,4,1]=>[1,4,2,6,3,7,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,7,3,4,1,2,6]=>[1,3,5,4,7,2,6]=>[6,2,7,4,5,3,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[5,7,3,4,1,6,2]=>[3,5,4,7,6,1,2]=>[2,1,6,7,4,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,7,3,4,2,1,6]=>[3,5,4,7,2,1,6]=>[6,1,2,7,4,5,3]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[5,7,3,4,2,6,1]=>[3,5,4,7,2,6,1]=>[1,6,2,7,4,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,7,3,4,6,1,2]=>[1,3,5,4,7,6,2]=>[2,6,7,4,5,3,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[5,7,3,4,6,2,1]=>[3,5,4,7,6,2,1]=>[1,2,6,7,4,5,3]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[5,7,3,6,1,2,4]=>[1,3,5,2,7,6,4]=>[4,6,7,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,7,3,6,1,4,2]=>[3,5,7,1,6,4,2]=>[2,4,6,1,7,5,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,7,3,6,2,1,4]=>[3,5,2,7,6,1,4]=>[4,1,6,7,2,5,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,7,3,6,2,4,1]=>[3,5,2,7,6,4,1]=>[1,4,6,7,2,5,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,7,3,6,4,1,2]=>[1,5,7,3,6,4,2]=>[2,4,6,3,7,5,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,7,3,6,4,2,1]=>[5,7,3,6,4,2,1]=>[1,2,4,6,3,7,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,7,4,1,2,3,6]=>[1,2,5,4,7,3,6]=>[6,3,7,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[5,7,4,1,2,6,3]=>[5,1,4,7,6,2,3]=>[3,2,6,7,4,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,7,4,1,3,2,6]=>[5,1,4,7,3,2,6]=>[6,2,3,7,4,1,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[5,7,4,1,3,6,2]=>[5,1,4,7,3,6,2]=>[2,6,3,7,4,1,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[5,7,4,1,6,2,3]=>[1,5,4,7,6,2,3]=>[3,2,6,7,4,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,7,4,1,6,3,2]=>[5,4,7,6,3,1,2]=>[2,1,3,6,7,4,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,7,4,2,1,3,6]=>[2,5,4,7,1,3,6]=>[6,3,1,7,4,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[5,7,4,2,1,6,3]=>[5,4,7,6,2,1,3]=>[3,1,2,6,7,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,7,4,2,3,1,6]=>[2,5,4,7,3,1,6]=>[6,1,3,7,4,5,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[5,7,4,2,3,6,1]=>[2,5,4,7,3,6,1]=>[1,6,3,7,4,5,2]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,7,4,2,6,1,3]=>[2,5,4,7,1,6,3]=>[3,6,1,7,4,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,7,4,2,6,3,1]=>[5,4,7,6,2,3,1]=>[1,3,2,6,7,4,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,7,4,3,1,2,6]=>[1,5,4,7,3,2,6]=>[6,2,3,7,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[5,7,4,3,1,6,2]=>[5,4,7,3,6,1,2]=>[2,1,6,3,7,4,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[5,7,4,3,2,1,6]=>[5,4,7,3,2,1,6]=>[6,1,2,3,7,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,7,4,3,2,6,1]=>[5,4,7,3,2,6,1]=>[1,6,2,3,7,4,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,4,3,6,1,2]=>[1,5,4,7,3,6,2]=>[2,6,3,7,4,5,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[5,7,4,3,6,2,1]=>[5,4,7,3,6,2,1]=>[1,2,6,3,7,4,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[5,7,4,6,1,2,3]=>[1,2,5,4,7,6,3]=>[3,6,7,4,5,2,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[5,7,4,6,1,3,2]=>[5,1,4,7,6,3,2]=>[2,3,6,7,4,1,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,7,4,6,2,1,3]=>[2,5,4,7,6,1,3]=>[3,1,6,7,4,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[5,7,4,6,2,3,1]=>[2,5,4,7,6,3,1]=>[1,3,6,7,4,5,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[5,7,4,6,3,1,2]=>[1,5,4,7,6,3,2]=>[2,3,6,7,4,5,1]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[5,7,4,6,3,2,1]=>[5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[5,7,6,1,2,3,4]=>[1,2,3,7,5,6,4]=>[4,6,5,7,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[5,7,6,1,2,4,3]=>[7,1,2,5,6,4,3]=>[3,4,6,5,2,1,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[5,7,6,1,3,2,4]=>[1,7,3,5,6,2,4]=>[4,2,6,5,3,7,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,7,6,1,3,4,2]=>[3,1,7,5,6,4,2]=>[2,4,6,5,7,1,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,7,6,1,4,2,3]=>[1,7,2,5,6,4,3]=>[3,4,6,5,2,7,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[5,7,6,1,4,3,2]=>[7,5,1,6,4,3,2]=>[2,3,4,6,1,5,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[5,7,6,2,1,3,4]=>[2,1,7,5,6,3,4]=>[4,3,6,5,7,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[5,7,6,2,1,4,3]=>[7,2,5,6,4,1,3]=>[3,1,4,6,5,2,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[5,7,6,2,3,1,4]=>[2,3,7,5,6,1,4]=>[4,1,6,5,7,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[5,7,6,2,3,4,1]=>[2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,7,6,2,4,1,3]=>[2,1,7,5,6,4,3]=>[3,4,6,5,7,1,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[5,7,6,2,4,3,1]=>[7,2,5,6,4,3,1]=>[1,3,4,6,5,2,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,7,6,3,1,2,4]=>[1,3,7,5,6,2,4]=>[4,2,6,5,7,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[5,7,6,3,1,4,2]=>[3,7,5,6,4,1,2]=>[2,1,4,6,5,7,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,7,6,3,2,1,4]=>[3,7,5,6,2,1,4]=>[4,1,2,6,5,7,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[5,7,6,3,2,4,1]=>[3,7,5,6,2,4,1]=>[1,4,2,6,5,7,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,7,6,3,4,1,2]=>[1,3,7,5,6,4,2]=>[2,4,6,5,7,3,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[5,7,6,3,4,2,1]=>[3,7,5,6,4,2,1]=>[1,2,4,6,5,7,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[5,7,6,4,1,2,3]=>[1,2,7,5,6,4,3]=>[3,4,6,5,7,2,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[5,7,6,4,1,3,2]=>[7,1,5,6,4,3,2]=>[2,3,4,6,5,1,7]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[5,7,6,4,2,1,3]=>[2,7,5,6,4,1,3]=>[3,1,4,6,5,7,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[5,7,6,4,2,3,1]=>[2,7,5,6,4,3,1]=>[1,3,4,6,5,7,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,7,6,4,3,1,2]=>[1,7,5,6,4,3,2]=>[2,3,4,6,5,7,1]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[5,7,6,4,3,2,1]=>[7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[6,1,2,3,4,5,7]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,1,2,3,4,7,5]=>[6,1,2,3,7,4,5]=>[5,4,7,3,2,1,6]=>[[[[[.,.],.],.],.],[[.,.],.]]
[6,1,2,3,5,4,7]=>[6,1,2,3,5,4,7]=>[7,4,5,3,2,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[6,1,2,3,5,7,4]=>[6,1,2,3,5,7,4]=>[4,7,5,3,2,1,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[6,1,2,3,7,4,5]=>[1,6,2,3,7,4,5]=>[5,4,7,3,2,6,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[6,1,2,3,7,5,4]=>[6,7,1,2,5,3,4]=>[4,3,5,2,1,7,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[6,1,2,4,3,5,7]=>[1,6,2,4,3,5,7]=>[7,5,3,4,2,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,1,2,4,3,7,5]=>[6,7,1,2,4,3,5]=>[5,3,4,2,1,7,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,1,2,4,5,3,7]=>[4,1,2,6,5,3,7]=>[7,3,5,6,2,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[6,1,2,4,5,7,3]=>[4,1,2,6,5,7,3]=>[3,7,5,6,2,1,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,1,2,4,7,3,5]=>[1,6,2,4,3,7,5]=>[5,7,3,4,2,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,1,2,4,7,5,3]=>[6,7,1,2,4,5,3]=>[3,5,4,2,1,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,1,2,5,3,4,7]=>[1,6,2,3,5,4,7]=>[7,4,5,3,2,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[6,1,2,5,3,7,4]=>[6,5,1,2,7,3,4]=>[4,3,7,2,1,5,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[6,1,2,5,4,3,7]=>[6,5,1,2,4,3,7]=>[7,3,4,2,1,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[6,1,2,5,4,7,3]=>[6,5,1,2,4,7,3]=>[3,7,4,2,1,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[6,1,2,5,7,3,4]=>[1,6,2,3,5,7,4]=>[4,7,5,3,2,6,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[6,1,2,5,7,4,3]=>[6,5,1,2,7,4,3]=>[3,4,7,2,1,5,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[6,1,2,7,3,4,5]=>[1,2,6,3,7,4,5]=>[5,4,7,3,6,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[6,1,2,7,3,5,4]=>[6,1,7,2,5,3,4]=>[4,3,5,2,7,1,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[6,1,2,7,4,3,5]=>[1,6,7,4,2,3,5]=>[5,3,2,4,7,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,1,2,7,4,5,3]=>[6,1,7,2,4,5,3]=>[3,5,4,2,7,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,1,2,7,5,3,4]=>[1,6,7,2,5,3,4]=>[4,3,5,2,7,6,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[6,1,2,7,5,4,3]=>[6,7,5,1,4,2,3]=>[3,2,4,1,5,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[6,1,3,2,4,5,7]=>[1,3,6,2,4,5,7]=>[7,5,4,2,6,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,1,3,2,4,7,5]=>[6,1,7,3,2,4,5]=>[5,4,2,3,7,1,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,1,3,2,5,4,7]=>[6,1,5,3,2,4,7]=>[7,4,2,3,5,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[6,1,3,2,5,7,4]=>[6,1,5,3,2,7,4]=>[4,7,2,3,5,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,1,3,2,7,4,5]=>[1,6,7,3,2,4,5]=>[5,4,2,3,7,6,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,1,3,2,7,5,4]=>[6,7,5,1,3,2,4]=>[4,2,3,1,5,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,1,3,4,2,5,7]=>[3,1,4,6,2,5,7]=>[7,5,2,6,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,1,3,4,2,7,5]=>[6,3,1,7,4,2,5]=>[5,2,4,7,1,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,1,3,4,5,2,7]=>[3,1,4,6,5,2,7]=>[7,2,5,6,4,1,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[6,1,3,4,5,7,2]=>[3,1,4,6,5,7,2]=>[2,7,5,6,4,1,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[6,1,3,4,7,2,5]=>[3,1,4,6,2,7,5]=>[5,7,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,1,3,4,7,5,2]=>[6,3,1,7,4,5,2]=>[2,5,4,7,1,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[6,1,3,5,2,4,7]=>[3,1,2,6,5,4,7]=>[7,4,5,6,2,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[6,1,3,5,2,7,4]=>[6,3,1,5,7,2,4]=>[4,2,7,5,1,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,1,3,5,4,2,7]=>[6,3,1,5,4,2,7]=>[7,2,4,5,1,3,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,1,3,5,4,7,2]=>[6,3,1,5,4,7,2]=>[2,7,4,5,1,3,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[6,1,3,5,7,2,4]=>[3,1,2,6,5,7,4]=>[4,7,5,6,2,1,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,1,3,5,7,4,2]=>[6,3,1,5,7,4,2]=>[2,4,7,5,1,3,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[6,1,3,7,2,4,5]=>[1,3,6,2,4,7,5]=>[5,7,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,1,3,7,2,5,4]=>[6,1,7,3,2,5,4]=>[4,5,2,3,7,1,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,1,3,7,4,2,5]=>[1,6,7,3,4,2,5]=>[5,2,4,3,7,6,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,1,3,7,4,5,2]=>[6,1,3,7,4,5,2]=>[2,5,4,7,3,1,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[6,1,3,7,5,2,4]=>[1,6,7,3,2,5,4]=>[4,5,2,3,7,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,1,3,7,5,4,2]=>[6,7,5,1,3,4,2]=>[2,4,3,1,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,1,4,2,3,5,7]=>[1,2,6,4,3,5,7]=>[7,5,3,4,6,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,1,4,2,3,7,5]=>[6,1,7,2,4,3,5]=>[5,3,4,2,7,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,1,4,2,5,3,7]=>[6,1,4,5,2,3,7]=>[7,3,2,5,4,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[6,1,4,2,5,7,3]=>[6,1,4,5,2,7,3]=>[3,7,2,5,4,1,6]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,1,4,2,7,3,5]=>[4,6,1,2,7,3,5]=>[5,3,7,2,1,6,4]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,1,4,2,7,5,3]=>[6,7,4,1,5,2,3]=>[3,2,5,1,4,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,1,4,3,2,5,7]=>[4,6,1,3,2,5,7]=>[7,5,2,3,1,6,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,1,4,3,2,7,5]=>[6,7,4,1,3,2,5]=>[5,2,3,1,4,7,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,1,4,3,5,2,7]=>[6,1,4,3,5,2,7]=>[7,2,5,3,4,1,6]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[6,1,4,3,5,7,2]=>[6,1,4,3,5,7,2]=>[2,7,5,3,4,1,6]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[6,1,4,3,7,2,5]=>[4,6,1,3,2,7,5]=>[5,7,2,3,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,1,4,3,7,5,2]=>[6,7,4,1,3,5,2]=>[2,5,3,1,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[6,1,4,5,2,3,7]=>[1,4,2,6,5,3,7]=>[7,3,5,6,2,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[6,1,4,5,2,7,3]=>[4,6,1,5,7,2,3]=>[3,2,7,5,1,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,1,4,5,3,2,7]=>[4,6,1,5,3,2,7]=>[7,2,3,5,1,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[6,1,4,5,3,7,2]=>[4,6,1,5,3,7,2]=>[2,7,3,5,1,6,4]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[6,1,4,5,7,2,3]=>[1,4,2,6,5,7,3]=>[3,7,5,6,2,4,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,1,4,5,7,3,2]=>[4,6,1,5,7,3,2]=>[2,3,7,5,1,6,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[6,1,4,7,2,3,5]=>[1,2,6,4,3,7,5]=>[5,7,3,4,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,1,4,7,2,5,3]=>[6,1,4,7,2,5,3]=>[3,5,2,7,4,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,1,4,7,3,2,5]=>[4,6,1,3,7,2,5]=>[5,2,7,3,1,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,1,4,7,3,5,2]=>[6,1,4,3,7,5,2]=>[2,5,7,3,4,1,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[6,1,4,7,5,2,3]=>[1,6,7,2,4,5,3]=>[3,5,4,2,7,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,1,4,7,5,3,2]=>[6,7,4,1,5,3,2]=>[2,3,5,1,4,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[6,1,5,2,3,4,7]=>[1,2,6,3,5,4,7]=>[7,4,5,3,6,2,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[6,1,5,2,3,7,4]=>[6,1,5,2,7,3,4]=>[4,3,7,2,5,1,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[6,1,5,2,4,3,7]=>[6,1,5,2,4,3,7]=>[7,3,4,2,5,1,6]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[6,1,5,2,4,7,3]=>[6,1,5,2,4,7,3]=>[3,7,4,2,5,1,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[6,1,5,2,7,3,4]=>[1,6,5,2,7,3,4]=>[4,3,7,2,5,6,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[6,1,5,2,7,4,3]=>[6,5,7,1,4,2,3]=>[3,2,4,1,7,5,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[6,1,5,3,2,4,7]=>[1,6,5,3,2,4,7]=>[7,4,2,3,5,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[6,1,5,3,2,7,4]=>[6,5,7,1,3,2,4]=>[4,2,3,1,7,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,1,5,3,4,2,7]=>[6,1,3,5,4,2,7]=>[7,2,4,5,3,1,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,1,5,3,4,7,2]=>[6,1,3,5,4,7,2]=>[2,7,4,5,3,1,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[6,1,5,3,7,2,4]=>[1,6,5,3,2,7,4]=>[4,7,2,3,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,1,5,3,7,4,2]=>[6,5,7,1,3,4,2]=>[2,4,3,1,7,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[6,1,5,4,2,3,7]=>[1,6,5,2,4,3,7]=>[7,3,4,2,5,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[6,1,5,4,2,7,3]=>[6,5,4,1,7,2,3]=>[3,2,7,1,4,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[6,1,5,4,3,2,7]=>[6,5,4,1,3,2,7]=>[7,2,3,1,4,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[6,1,5,4,3,7,2]=>[6,5,4,1,3,7,2]=>[2,7,3,1,4,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[6,1,5,4,7,2,3]=>[1,6,5,2,4,7,3]=>[3,7,4,2,5,6,1]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[6,1,5,4,7,3,2]=>[6,5,4,1,7,3,2]=>[2,3,7,1,4,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[6,1,5,7,2,3,4]=>[1,2,6,3,5,7,4]=>[4,7,5,3,6,2,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[6,1,5,7,2,4,3]=>[6,1,5,2,7,4,3]=>[3,4,7,2,5,1,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[6,1,5,7,3,2,4]=>[1,6,5,3,7,2,4]=>[4,2,7,3,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,1,5,7,3,4,2]=>[6,1,3,5,7,4,2]=>[2,4,7,5,3,1,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[6,1,5,7,4,2,3]=>[1,6,5,2,7,4,3]=>[3,4,7,2,5,6,1]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[6,1,5,7,4,3,2]=>[6,5,7,1,4,3,2]=>[2,3,4,1,7,5,6]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[6,1,7,2,3,4,5]=>[1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[6,1,7,2,3,5,4]=>[6,1,2,7,5,3,4]=>[4,3,5,7,2,1,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[6,1,7,2,4,3,5]=>[1,6,4,7,2,3,5]=>[5,3,2,7,4,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,1,7,2,4,5,3]=>[6,1,2,7,4,5,3]=>[3,5,4,7,2,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,1,7,2,5,3,4]=>[1,6,2,7,5,3,4]=>[4,3,5,7,2,6,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[6,1,7,2,5,4,3]=>[6,7,1,5,4,2,3]=>[3,2,4,5,1,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[6,1,7,3,2,4,5]=>[3,1,6,7,2,4,5]=>[5,4,2,7,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,1,7,3,2,5,4]=>[6,3,7,5,1,2,4]=>[4,2,1,5,7,3,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,1,7,3,4,2,5]=>[1,6,3,7,4,2,5]=>[5,2,4,7,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,1,7,3,4,5,2]=>[3,1,6,7,4,5,2]=>[2,5,4,7,6,1,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[6,1,7,3,5,2,4]=>[1,6,3,7,2,5,4]=>[4,5,2,7,3,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,1,7,3,5,4,2]=>[6,7,1,5,3,4,2]=>[2,4,3,5,1,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,1,7,4,2,3,5]=>[1,4,6,7,2,3,5]=>[5,3,2,7,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,1,7,4,2,5,3]=>[4,6,7,5,1,2,3]=>[3,2,1,5,7,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,1,7,4,3,2,5]=>[4,6,7,3,1,2,5]=>[5,2,1,3,7,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,1,7,4,3,5,2]=>[4,6,7,3,1,5,2]=>[2,5,1,3,7,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[6,1,7,4,5,2,3]=>[1,6,2,7,4,5,3]=>[3,5,4,7,2,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,1,7,4,5,3,2]=>[6,7,1,4,5,3,2]=>[2,3,5,4,1,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[6,1,7,5,2,3,4]=>[1,2,6,7,5,3,4]=>[4,3,5,7,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[6,1,7,5,2,4,3]=>[6,1,7,5,4,2,3]=>[3,2,4,5,7,1,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[6,1,7,5,3,2,4]=>[3,6,7,5,1,2,4]=>[4,2,1,5,7,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,1,7,5,3,4,2]=>[6,1,7,5,3,4,2]=>[2,4,3,5,7,1,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,1,7,5,4,2,3]=>[1,6,7,5,4,2,3]=>[3,2,4,5,7,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[6,1,7,5,4,3,2]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[6,2,1,3,4,5,7]=>[2,1,3,6,4,5,7]=>[7,5,4,6,3,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,2,1,3,4,7,5]=>[6,2,1,7,3,4,5]=>[5,4,3,7,1,2,6]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[6,2,1,3,5,4,7]=>[6,2,1,5,3,4,7]=>[7,4,3,5,1,2,6]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[6,2,1,3,5,7,4]=>[6,2,1,5,3,7,4]=>[4,7,3,5,1,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[6,2,1,3,7,4,5]=>[2,6,1,7,3,4,5]=>[5,4,3,7,1,6,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[6,2,1,3,7,5,4]=>[6,7,2,5,1,3,4]=>[4,3,1,5,2,7,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[6,2,1,4,3,5,7]=>[2,6,4,1,3,5,7]=>[7,5,3,1,4,6,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,2,1,4,3,7,5]=>[6,7,2,4,1,3,5]=>[5,3,1,4,2,7,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,2,1,4,5,3,7]=>[6,2,1,4,5,3,7]=>[7,3,5,4,1,2,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[6,2,1,4,5,7,3]=>[6,2,1,4,5,7,3]=>[3,7,5,4,1,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,2,1,4,7,3,5]=>[2,6,4,1,3,7,5]=>[5,7,3,1,4,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,2,1,4,7,5,3]=>[6,7,2,4,1,5,3]=>[3,5,1,4,2,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,2,1,5,3,4,7]=>[2,6,1,5,3,4,7]=>[7,4,3,5,1,6,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[6,2,1,5,3,7,4]=>[6,5,2,7,1,3,4]=>[4,3,1,7,2,5,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[6,2,1,5,4,3,7]=>[6,5,2,4,1,3,7]=>[7,3,1,4,2,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[6,2,1,5,4,7,3]=>[6,5,2,4,1,7,3]=>[3,7,1,4,2,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[6,2,1,5,7,3,4]=>[2,6,1,5,3,7,4]=>[4,7,3,5,1,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[6,2,1,5,7,4,3]=>[6,5,2,7,1,4,3]=>[3,4,1,7,2,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[6,2,1,7,3,4,5]=>[2,1,6,7,3,4,5]=>[5,4,3,7,6,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[6,2,1,7,3,5,4]=>[6,2,7,5,1,3,4]=>[4,3,1,5,7,2,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[6,2,1,7,4,3,5]=>[4,6,7,2,1,3,5]=>[5,3,1,2,7,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,2,1,7,4,5,3]=>[6,2,7,4,1,5,3]=>[3,5,1,4,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,2,1,7,5,3,4]=>[2,6,7,5,1,3,4]=>[4,3,1,5,7,6,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[6,2,1,7,5,4,3]=>[6,7,5,4,2,1,3]=>[3,1,2,4,5,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[6,2,3,1,4,5,7]=>[2,3,1,6,4,5,7]=>[7,5,4,6,1,3,2]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,2,3,1,4,7,5]=>[6,2,3,7,1,4,5]=>[5,4,1,7,3,2,6]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[6,2,3,1,5,4,7]=>[6,2,3,5,1,4,7]=>[7,4,1,5,3,2,6]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[6,2,3,1,5,7,4]=>[6,2,3,5,1,7,4]=>[4,7,1,5,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[6,2,3,1,7,4,5]=>[2,6,3,7,1,4,5]=>[5,4,1,7,3,6,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[6,2,3,1,7,5,4]=>[6,7,2,5,3,1,4]=>[4,1,3,5,2,7,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[6,2,3,4,1,5,7]=>[2,3,4,6,1,5,7]=>[7,5,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,2,3,4,1,7,5]=>[6,2,3,7,4,1,5]=>[5,1,4,7,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[6,2,3,4,5,1,7]=>[2,3,4,6,5,1,7]=>[7,1,5,6,4,3,2]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[6,2,3,4,5,7,1]=>[2,3,4,6,5,7,1]=>[1,7,5,6,4,3,2]=>[.,[[[[[.,.],.],.],[.,.]],.]]
[6,2,3,4,7,1,5]=>[2,3,4,6,1,7,5]=>[5,7,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[6,2,3,4,7,5,1]=>[6,2,3,7,4,5,1]=>[1,5,4,7,3,2,6]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[6,2,3,5,1,4,7]=>[2,3,1,6,5,4,7]=>[7,4,5,6,1,3,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[6,2,3,5,1,7,4]=>[6,2,3,5,7,1,4]=>[4,1,7,5,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[6,2,3,5,4,1,7]=>[6,2,3,5,4,1,7]=>[7,1,4,5,3,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[6,2,3,5,4,7,1]=>[6,2,3,5,4,7,1]=>[1,7,4,5,3,2,6]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[6,2,3,5,7,1,4]=>[2,3,1,6,5,7,4]=>[4,7,5,6,1,3,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[6,2,3,5,7,4,1]=>[6,2,3,5,7,4,1]=>[1,4,7,5,3,2,6]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[6,2,3,7,1,4,5]=>[2,3,1,6,4,7,5]=>[5,7,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[6,2,3,7,1,5,4]=>[6,2,3,7,1,5,4]=>[4,5,1,7,3,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[6,2,3,7,4,1,5]=>[2,6,3,7,4,1,5]=>[5,1,4,7,3,6,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[6,2,3,7,4,5,1]=>[2,6,3,7,4,5,1]=>[1,5,4,7,3,6,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[6,2,3,7,5,1,4]=>[2,6,3,7,1,5,4]=>[4,5,1,7,3,6,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[6,2,3,7,5,4,1]=>[6,7,2,5,3,4,1]=>[1,4,3,5,2,7,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[6,2,4,1,3,5,7]=>[2,1,4,6,3,5,7]=>[7,5,3,6,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,2,4,1,3,7,5]=>[6,2,1,7,4,3,5]=>[5,3,4,7,1,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,2,4,1,5,3,7]=>[4,2,6,5,1,3,7]=>[7,3,1,5,6,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[6,2,4,1,5,7,3]=>[4,2,6,5,1,7,3]=>[3,7,1,5,6,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,2,4,1,7,3,5]=>[2,6,4,1,7,3,5]=>[5,3,7,1,4,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,2,4,1,7,5,3]=>[6,7,2,4,5,1,3]=>[3,1,5,4,2,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,2,4,3,1,5,7]=>[2,6,4,3,1,5,7]=>[7,5,1,3,4,6,2]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,2,4,3,1,7,5]=>[6,7,2,4,3,1,5]=>[5,1,3,4,2,7,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,2,4,3,5,1,7]=>[2,6,4,3,5,1,7]=>[7,1,5,3,4,6,2]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[6,2,4,3,5,7,1]=>[2,6,4,3,5,7,1]=>[1,7,5,3,4,6,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,2,4,3,7,1,5]=>[2,6,4,3,1,7,5]=>[5,7,1,3,4,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,2,4,3,7,5,1]=>[6,7,2,4,3,5,1]=>[1,5,3,4,2,7,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,2,4,5,1,3,7]=>[2,1,4,6,5,3,7]=>[7,3,5,6,4,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[6,2,4,5,1,7,3]=>[4,2,6,5,7,1,3]=>[3,1,7,5,6,2,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,2,4,5,3,1,7]=>[4,2,6,5,3,1,7]=>[7,1,3,5,6,2,4]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[6,2,4,5,3,7,1]=>[4,2,6,5,3,7,1]=>[1,7,3,5,6,2,4]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,2,4,5,7,1,3]=>[2,1,4,6,5,7,3]=>[3,7,5,6,4,1,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,2,4,5,7,3,1]=>[4,2,6,5,7,3,1]=>[1,3,7,5,6,2,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[6,2,4,7,1,3,5]=>[2,1,4,6,3,7,5]=>[5,7,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,2,4,7,1,5,3]=>[4,2,6,7,1,5,3]=>[3,5,1,7,6,2,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,2,4,7,3,1,5]=>[2,6,4,3,7,1,5]=>[5,1,7,3,4,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,2,4,7,3,5,1]=>[2,6,4,3,7,5,1]=>[1,5,7,3,4,6,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,2,4,7,5,1,3]=>[2,6,1,7,4,5,3]=>[3,5,4,7,1,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,2,4,7,5,3,1]=>[6,7,2,4,5,3,1]=>[1,3,5,4,2,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[6,2,5,1,3,4,7]=>[2,1,3,6,5,4,7]=>[7,4,5,6,3,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[6,2,5,1,3,7,4]=>[6,2,1,5,7,3,4]=>[4,3,7,5,1,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[6,2,5,1,4,3,7]=>[6,2,1,5,4,3,7]=>[7,3,4,5,1,2,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[6,2,5,1,4,7,3]=>[6,2,1,5,4,7,3]=>[3,7,4,5,1,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[6,2,5,1,7,3,4]=>[2,6,1,5,7,3,4]=>[4,3,7,5,1,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[6,2,5,1,7,4,3]=>[6,5,2,7,4,1,3]=>[3,1,4,7,2,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[6,2,5,3,1,4,7]=>[2,6,3,5,1,4,7]=>[7,4,1,5,3,6,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[6,2,5,3,1,7,4]=>[6,5,2,7,3,1,4]=>[4,1,3,7,2,5,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[6,2,5,3,4,1,7]=>[2,6,3,5,4,1,7]=>[7,1,4,5,3,6,2]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[6,2,5,3,4,7,1]=>[2,6,3,5,4,7,1]=>[1,7,4,5,3,6,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[6,2,5,3,7,1,4]=>[2,6,3,5,1,7,4]=>[4,7,1,5,3,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[6,2,5,3,7,4,1]=>[6,5,2,7,3,4,1]=>[1,4,3,7,2,5,6]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[6,2,5,4,1,3,7]=>[2,6,1,5,4,3,7]=>[7,3,4,5,1,6,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[6,2,5,4,1,7,3]=>[6,5,2,4,7,1,3]=>[3,1,7,4,2,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[6,2,5,4,3,1,7]=>[6,5,2,4,3,1,7]=>[7,1,3,4,2,5,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,2,5,4,3,7,1]=>[6,5,2,4,3,7,1]=>[1,7,3,4,2,5,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,2,5,4,7,1,3]=>[2,6,1,5,4,7,3]=>[3,7,4,5,1,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[6,2,5,4,7,3,1]=>[6,5,2,4,7,3,1]=>[1,3,7,4,2,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[6,2,5,7,1,3,4]=>[2,1,3,6,5,7,4]=>[4,7,5,6,3,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[6,2,5,7,1,4,3]=>[6,2,1,5,7,4,3]=>[3,4,7,5,1,2,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[6,2,5,7,3,1,4]=>[2,6,3,5,7,1,4]=>[4,1,7,5,3,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[6,2,5,7,3,4,1]=>[2,6,3,5,7,4,1]=>[1,4,7,5,3,6,2]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[6,2,5,7,4,1,3]=>[2,6,1,5,7,4,3]=>[3,4,7,5,1,6,2]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[6,2,5,7,4,3,1]=>[6,5,2,7,4,3,1]=>[1,3,4,7,2,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[6,2,7,1,3,4,5]=>[2,1,3,6,4,7,5]=>[5,7,4,6,3,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[6,2,7,1,3,5,4]=>[6,2,1,7,3,5,4]=>[4,5,3,7,1,2,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[6,2,7,1,4,3,5]=>[2,6,1,7,4,3,5]=>[5,3,4,7,1,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,2,7,1,4,5,3]=>[6,2,1,4,7,5,3]=>[3,5,7,4,1,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,2,7,1,5,3,4]=>[2,6,1,7,3,5,4]=>[4,5,3,7,1,6,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[6,2,7,1,5,4,3]=>[6,7,2,5,1,4,3]=>[3,4,1,5,2,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[6,2,7,3,1,4,5]=>[2,3,6,7,1,4,5]=>[5,4,1,7,6,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[6,2,7,3,1,5,4]=>[6,2,7,5,3,1,4]=>[4,1,3,5,7,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[6,2,7,3,4,1,5]=>[2,3,6,7,4,1,5]=>[5,1,4,7,6,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[6,2,7,3,4,5,1]=>[2,3,6,7,4,5,1]=>[1,5,4,7,6,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[6,2,7,3,5,1,4]=>[2,3,6,7,1,5,4]=>[4,5,1,7,6,3,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[6,2,7,3,5,4,1]=>[6,2,7,5,3,4,1]=>[1,4,3,5,7,2,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[6,2,7,4,1,3,5]=>[2,1,6,7,4,3,5]=>[5,3,4,7,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,2,7,4,1,5,3]=>[6,2,7,4,5,1,3]=>[3,1,5,4,7,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,2,7,4,3,1,5]=>[4,6,7,2,3,1,5]=>[5,1,3,2,7,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,2,7,4,3,5,1]=>[4,6,7,2,3,5,1]=>[1,5,3,2,7,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,2,7,4,5,1,3]=>[2,1,6,7,4,5,3]=>[3,5,4,7,6,1,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,2,7,4,5,3,1]=>[6,2,7,4,5,3,1]=>[1,3,5,4,7,2,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[6,2,7,5,1,3,4]=>[2,1,6,7,3,5,4]=>[4,5,3,7,6,1,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[6,2,7,5,1,4,3]=>[6,2,7,5,1,4,3]=>[3,4,1,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[6,2,7,5,3,1,4]=>[2,6,7,5,3,1,4]=>[4,1,3,5,7,6,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[6,2,7,5,3,4,1]=>[2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[6,2,7,5,4,1,3]=>[2,6,7,5,1,4,3]=>[3,4,1,5,7,6,2]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[6,2,7,5,4,3,1]=>[6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[6,3,1,2,4,5,7]=>[1,3,2,6,4,5,7]=>[7,5,4,6,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,3,1,2,4,7,5]=>[6,1,3,7,2,4,5]=>[5,4,2,7,3,1,6]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,3,1,2,5,4,7]=>[6,1,3,5,2,4,7]=>[7,4,2,5,3,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[6,3,1,2,5,7,4]=>[6,1,3,5,2,7,4]=>[4,7,2,5,3,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,3,1,2,7,4,5]=>[1,6,3,7,2,4,5]=>[5,4,2,7,3,6,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,3,1,2,7,5,4]=>[6,7,1,5,3,2,4]=>[4,2,3,5,1,7,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,3,1,4,2,5,7]=>[3,4,6,1,2,5,7]=>[7,5,2,1,6,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,3,1,4,2,7,5]=>[6,3,7,4,1,2,5]=>[5,2,1,4,7,3,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,3,1,4,5,2,7]=>[3,6,1,4,5,2,7]=>[7,2,5,4,1,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[6,3,1,4,5,7,2]=>[3,6,1,4,5,7,2]=>[2,7,5,4,1,6,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[6,3,1,4,7,2,5]=>[3,4,6,1,2,7,5]=>[5,7,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,3,1,4,7,5,2]=>[6,3,7,4,1,5,2]=>[2,5,1,4,7,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[6,3,1,5,2,4,7]=>[3,1,6,5,2,4,7]=>[7,4,2,5,6,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[6,3,1,5,2,7,4]=>[6,3,5,7,1,2,4]=>[4,2,1,7,5,3,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,3,1,5,4,2,7]=>[6,3,5,4,1,2,7]=>[7,2,1,4,5,3,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,3,1,5,4,7,2]=>[6,3,5,4,1,7,2]=>[2,7,1,4,5,3,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[6,3,1,5,7,2,4]=>[3,1,6,5,2,7,4]=>[4,7,2,5,6,1,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,3,1,5,7,4,2]=>[6,3,5,7,1,4,2]=>[2,4,1,7,5,3,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[6,3,1,7,2,4,5]=>[3,1,6,2,7,4,5]=>[5,4,7,2,6,1,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,3,1,7,2,5,4]=>[6,3,7,1,5,2,4]=>[4,2,5,1,7,3,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,3,1,7,4,2,5]=>[3,6,7,4,1,2,5]=>[5,2,1,4,7,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,3,1,7,4,5,2]=>[3,6,7,4,1,5,2]=>[2,5,1,4,7,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[6,3,1,7,5,2,4]=>[3,6,7,1,5,2,4]=>[4,2,5,1,7,6,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,3,1,7,5,4,2]=>[6,7,5,3,4,1,2]=>[2,1,4,3,5,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,3,2,1,4,5,7]=>[3,2,6,1,4,5,7]=>[7,5,4,1,6,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,2,1,4,7,5]=>[6,3,7,2,1,4,5]=>[5,4,1,2,7,3,6]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[6,3,2,1,5,4,7]=>[6,3,5,2,1,4,7]=>[7,4,1,2,5,3,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[6,3,2,1,5,7,4]=>[6,3,5,2,1,7,4]=>[4,7,1,2,5,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,3,2,1,7,4,5]=>[3,6,7,2,1,4,5]=>[5,4,1,2,7,6,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[6,3,2,1,7,5,4]=>[6,7,5,3,2,1,4]=>[4,1,2,3,5,7,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[6,3,2,4,1,5,7]=>[3,2,6,4,1,5,7]=>[7,5,1,4,6,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,3,2,4,1,7,5]=>[6,3,7,2,4,1,5]=>[5,1,4,2,7,3,6]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[6,3,2,4,5,1,7]=>[3,2,6,4,5,1,7]=>[7,1,5,4,6,2,3]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[6,3,2,4,5,7,1]=>[3,2,6,4,5,7,1]=>[1,7,5,4,6,2,3]=>[.,[[[[.,[.,.]],.],[.,.]],.]]
[6,3,2,4,7,1,5]=>[3,2,6,4,1,7,5]=>[5,7,1,4,6,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[6,3,2,4,7,5,1]=>[6,3,7,2,4,5,1]=>[1,5,4,2,7,3,6]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[6,3,2,5,1,4,7]=>[3,2,6,1,5,4,7]=>[7,4,5,1,6,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[6,3,2,5,1,7,4]=>[6,3,5,2,7,1,4]=>[4,1,7,2,5,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,3,2,5,4,1,7]=>[6,3,5,2,4,1,7]=>[7,1,4,2,5,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[6,3,2,5,4,7,1]=>[6,3,5,2,4,7,1]=>[1,7,4,2,5,3,6]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,3,2,5,7,1,4]=>[3,2,6,1,5,7,4]=>[4,7,5,1,6,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,3,2,5,7,4,1]=>[6,3,5,2,7,4,1]=>[1,4,7,2,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,3,2,7,1,4,5]=>[3,2,6,1,4,7,5]=>[5,7,4,1,6,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[6,3,2,7,1,5,4]=>[6,3,7,2,1,5,4]=>[4,5,1,2,7,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[6,3,2,7,4,1,5]=>[3,6,7,2,4,1,5]=>[5,1,4,2,7,6,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[6,3,2,7,4,5,1]=>[3,6,7,2,4,5,1]=>[1,5,4,2,7,6,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[6,3,2,7,5,1,4]=>[3,6,7,2,1,5,4]=>[4,5,1,2,7,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[6,3,2,7,5,4,1]=>[6,7,5,3,2,4,1]=>[1,4,2,3,5,7,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,3,4,1,2,5,7]=>[1,3,4,6,2,5,7]=>[7,5,2,6,4,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,3,4,1,2,7,5]=>[6,1,3,7,4,2,5]=>[5,2,4,7,3,1,6]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,3,4,1,5,2,7]=>[3,4,6,5,1,2,7]=>[7,2,1,5,6,4,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[6,3,4,1,5,7,2]=>[3,4,6,5,1,7,2]=>[2,7,1,5,6,4,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[6,3,4,1,7,2,5]=>[3,4,6,1,7,2,5]=>[5,2,7,1,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,3,4,1,7,5,2]=>[6,3,7,4,5,1,2]=>[2,1,5,4,7,3,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[6,3,4,2,1,5,7]=>[3,4,6,2,1,5,7]=>[7,5,1,2,6,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,3,4,2,1,7,5]=>[6,3,7,4,2,1,5]=>[5,1,2,4,7,3,6]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[6,3,4,2,5,1,7]=>[3,4,6,2,5,1,7]=>[7,1,5,2,6,4,3]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[6,3,4,2,5,7,1]=>[3,4,6,2,5,7,1]=>[1,7,5,2,6,4,3]=>[.,[[[.,[[.,.],.]],[.,.]],.]]
[6,3,4,2,7,1,5]=>[3,4,6,2,1,7,5]=>[5,7,1,2,6,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[6,3,4,2,7,5,1]=>[6,3,7,4,2,5,1]=>[1,5,2,4,7,3,6]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[6,3,4,5,1,2,7]=>[1,3,4,6,5,2,7]=>[7,2,5,6,4,3,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[6,3,4,5,1,7,2]=>[3,4,6,5,7,1,2]=>[2,1,7,5,6,4,3]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[6,3,4,5,2,1,7]=>[3,4,6,5,2,1,7]=>[7,1,2,5,6,4,3]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[6,3,4,5,2,7,1]=>[3,4,6,5,2,7,1]=>[1,7,2,5,6,4,3]=>[.,[[.,[[[.,.],.],[.,.]]],.]]
[6,3,4,5,7,1,2]=>[1,3,4,6,5,7,2]=>[2,7,5,6,4,3,1]=>[[.,.],[[[[.,.],.],[.,.]],.]]
[6,3,4,5,7,2,1]=>[3,4,6,5,7,2,1]=>[1,2,7,5,6,4,3]=>[.,[.,[[[[.,.],.],[.,.]],.]]]
[6,3,4,7,1,2,5]=>[1,3,4,6,2,7,5]=>[5,7,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,3,4,7,1,5,2]=>[3,4,6,7,1,5,2]=>[2,5,1,7,6,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[6,3,4,7,2,1,5]=>[3,4,6,2,7,1,5]=>[5,1,7,2,6,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[6,3,4,7,2,5,1]=>[3,4,6,2,7,5,1]=>[1,5,7,2,6,4,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[6,3,4,7,5,1,2]=>[1,6,3,7,4,5,2]=>[2,5,4,7,3,6,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[6,3,4,7,5,2,1]=>[6,3,7,4,5,2,1]=>[1,2,5,4,7,3,6]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[6,3,5,1,2,4,7]=>[1,3,2,6,5,4,7]=>[7,4,5,6,2,3,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[6,3,5,1,2,7,4]=>[6,1,3,5,7,2,4]=>[4,2,7,5,3,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,3,5,1,4,2,7]=>[3,6,1,5,4,2,7]=>[7,2,4,5,1,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,3,5,1,4,7,2]=>[3,6,1,5,4,7,2]=>[2,7,4,5,1,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[6,3,5,1,7,2,4]=>[3,1,6,5,7,2,4]=>[4,2,7,5,6,1,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,3,5,1,7,4,2]=>[6,3,5,7,4,1,2]=>[2,1,4,7,5,3,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[6,3,5,2,1,4,7]=>[3,2,6,5,1,4,7]=>[7,4,1,5,6,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[6,3,5,2,1,7,4]=>[6,3,5,7,2,1,4]=>[4,1,2,7,5,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,3,5,2,4,1,7]=>[3,2,6,5,4,1,7]=>[7,1,4,5,6,2,3]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[6,3,5,2,4,7,1]=>[3,2,6,5,4,7,1]=>[1,7,4,5,6,2,3]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,3,5,2,7,1,4]=>[3,2,6,5,1,7,4]=>[4,7,1,5,6,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,3,5,2,7,4,1]=>[6,3,5,7,2,4,1]=>[1,4,2,7,5,3,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,3,5,4,1,2,7]=>[1,6,3,5,4,2,7]=>[7,2,4,5,3,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,3,5,4,1,7,2]=>[6,3,5,4,7,1,2]=>[2,1,7,4,5,3,6]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[6,3,5,4,2,1,7]=>[6,3,5,4,2,1,7]=>[7,1,2,4,5,3,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,3,5,4,2,7,1]=>[6,3,5,4,2,7,1]=>[1,7,2,4,5,3,6]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,3,5,4,7,1,2]=>[1,6,3,5,4,7,2]=>[2,7,4,5,3,6,1]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[6,3,5,4,7,2,1]=>[6,3,5,4,7,2,1]=>[1,2,7,4,5,3,6]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,3,5,7,1,2,4]=>[1,3,2,6,5,7,4]=>[4,7,5,6,2,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,3,5,7,1,4,2]=>[3,6,1,5,7,4,2]=>[2,4,7,5,1,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[6,3,5,7,2,1,4]=>[3,2,6,5,7,1,4]=>[4,1,7,5,6,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,3,5,7,2,4,1]=>[3,2,6,5,7,4,1]=>[1,4,7,5,6,2,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,3,5,7,4,1,2]=>[1,6,3,5,7,4,2]=>[2,4,7,5,3,6,1]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[6,3,5,7,4,2,1]=>[6,3,5,7,4,2,1]=>[1,2,4,7,5,3,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[6,3,7,1,2,4,5]=>[1,3,2,6,4,7,5]=>[5,7,4,6,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,3,7,1,2,5,4]=>[6,1,3,7,2,5,4]=>[4,5,2,7,3,1,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,3,7,1,4,2,5]=>[3,1,6,7,4,2,5]=>[5,2,4,7,6,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,3,7,1,4,5,2]=>[3,6,1,4,7,5,2]=>[2,5,7,4,1,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[6,3,7,1,5,2,4]=>[3,1,6,7,2,5,4]=>[4,5,2,7,6,1,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,3,7,1,5,4,2]=>[6,3,7,5,1,4,2]=>[2,4,1,5,7,3,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,3,7,2,1,4,5]=>[3,2,6,1,7,4,5]=>[5,4,7,1,6,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[6,3,7,2,1,5,4]=>[6,3,7,2,5,1,4]=>[4,1,5,2,7,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[6,3,7,2,4,1,5]=>[3,2,6,4,7,1,5]=>[5,1,7,4,6,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[6,3,7,2,4,5,1]=>[3,2,6,4,7,5,1]=>[1,5,7,4,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[6,3,7,2,5,1,4]=>[3,2,6,1,7,5,4]=>[4,5,7,1,6,2,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[6,3,7,2,5,4,1]=>[6,3,7,2,5,4,1]=>[1,4,5,2,7,3,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,3,7,4,1,2,5]=>[1,3,6,7,4,2,5]=>[5,2,4,7,6,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,3,7,4,1,5,2]=>[3,6,7,4,5,1,2]=>[2,1,5,4,7,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[6,3,7,4,2,1,5]=>[3,6,7,4,2,1,5]=>[5,1,2,4,7,6,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[6,3,7,4,2,5,1]=>[3,6,7,4,2,5,1]=>[1,5,2,4,7,6,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[6,3,7,4,5,1,2]=>[1,3,6,7,4,5,2]=>[2,5,4,7,6,3,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[6,3,7,4,5,2,1]=>[3,6,7,4,5,2,1]=>[1,2,5,4,7,6,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[6,3,7,5,1,2,4]=>[1,3,6,7,2,5,4]=>[4,5,2,7,6,3,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,3,7,5,1,4,2]=>[3,6,7,5,1,4,2]=>[2,4,1,5,7,6,3]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,3,7,5,2,1,4]=>[3,6,7,2,5,1,4]=>[4,1,5,2,7,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[6,3,7,5,2,4,1]=>[3,6,7,2,5,4,1]=>[1,4,5,2,7,6,3]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,3,7,5,4,1,2]=>[1,6,7,5,3,4,2]=>[2,4,3,5,7,6,1]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,3,7,5,4,2,1]=>[6,7,5,3,4,2,1]=>[1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[6,4,1,2,3,5,7]=>[1,2,4,6,3,5,7]=>[7,5,3,6,4,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,4,1,2,3,7,5]=>[6,1,2,7,4,3,5]=>[5,3,4,7,2,1,6]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,4,1,2,5,3,7]=>[4,1,6,5,2,3,7]=>[7,3,2,5,6,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[6,4,1,2,5,7,3]=>[4,1,6,5,2,7,3]=>[3,7,2,5,6,1,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,4,1,2,7,3,5]=>[1,6,4,2,7,3,5]=>[5,3,7,2,4,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,4,1,2,7,5,3]=>[6,7,1,4,5,2,3]=>[3,2,5,4,1,7,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,4,1,3,2,5,7]=>[1,6,4,3,2,5,7]=>[7,5,2,3,4,6,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,4,1,3,2,7,5]=>[6,7,1,4,3,2,5]=>[5,2,3,4,1,7,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,4,1,3,5,2,7]=>[4,1,6,3,5,2,7]=>[7,2,5,3,6,1,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[6,4,1,3,5,7,2]=>[4,1,6,3,5,7,2]=>[2,7,5,3,6,1,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[6,4,1,3,7,2,5]=>[1,6,4,3,2,7,5]=>[5,7,2,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,4,1,3,7,5,2]=>[6,7,1,4,3,5,2]=>[2,5,3,4,1,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[6,4,1,5,2,3,7]=>[1,4,6,5,2,3,7]=>[7,3,2,5,6,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[6,4,1,5,2,7,3]=>[4,6,5,7,1,2,3]=>[3,2,1,7,5,6,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,4,1,5,3,2,7]=>[4,6,5,3,1,2,7]=>[7,2,1,3,5,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[6,4,1,5,3,7,2]=>[4,6,5,3,1,7,2]=>[2,7,1,3,5,6,4]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[6,4,1,5,7,2,3]=>[1,4,6,5,2,7,3]=>[3,7,2,5,6,4,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,4,1,5,7,3,2]=>[4,6,5,7,1,3,2]=>[2,3,1,7,5,6,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[6,4,1,7,2,3,5]=>[1,4,6,2,7,3,5]=>[5,3,7,2,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,4,1,7,2,5,3]=>[4,6,7,1,5,2,3]=>[3,2,5,1,7,6,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,4,1,7,3,2,5]=>[4,6,3,7,1,2,5]=>[5,2,1,7,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,4,1,7,3,5,2]=>[4,6,7,1,3,5,2]=>[2,5,3,1,7,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[6,4,1,7,5,2,3]=>[1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,4,1,7,5,3,2]=>[6,7,4,5,3,1,2]=>[2,1,3,5,4,7,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[6,4,2,1,3,5,7]=>[2,4,6,1,3,5,7]=>[7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,4,2,1,3,7,5]=>[6,2,7,4,1,3,5]=>[5,3,1,4,7,2,6]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,4,2,1,5,3,7]=>[4,6,5,2,1,3,7]=>[7,3,1,2,5,6,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[6,4,2,1,5,7,3]=>[4,6,5,2,1,7,3]=>[3,7,1,2,5,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,4,2,1,7,3,5]=>[4,6,2,7,1,3,5]=>[5,3,1,7,2,6,4]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,4,2,1,7,5,3]=>[6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,4,2,3,1,5,7]=>[2,4,6,3,1,5,7]=>[7,5,1,3,6,4,2]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,2,3,1,7,5]=>[6,2,7,4,3,1,5]=>[5,1,3,4,7,2,6]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,4,2,3,5,1,7]=>[2,4,6,3,5,1,7]=>[7,1,5,3,6,4,2]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[6,4,2,3,5,7,1]=>[2,4,6,3,5,7,1]=>[1,7,5,3,6,4,2]=>[.,[[[[.,.],[.,.]],[.,.]],.]]
[6,4,2,3,7,1,5]=>[2,4,6,3,1,7,5]=>[5,7,1,3,6,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,4,2,3,7,5,1]=>[6,2,7,4,3,5,1]=>[1,5,3,4,7,2,6]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,4,2,5,1,3,7]=>[2,4,6,1,5,3,7]=>[7,3,5,1,6,4,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[6,4,2,5,1,7,3]=>[4,6,5,2,7,1,3]=>[3,1,7,2,5,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,4,2,5,3,1,7]=>[4,6,5,2,3,1,7]=>[7,1,3,2,5,6,4]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[6,4,2,5,3,7,1]=>[4,6,5,2,3,7,1]=>[1,7,3,2,5,6,4]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,4,2,5,7,1,3]=>[2,4,6,1,5,7,3]=>[3,7,5,1,6,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,4,2,5,7,3,1]=>[4,6,5,2,7,3,1]=>[1,3,7,2,5,6,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[6,4,2,7,1,3,5]=>[2,4,6,1,3,7,5]=>[5,7,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,4,2,7,1,5,3]=>[4,6,7,2,1,5,3]=>[3,5,1,2,7,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,4,2,7,3,1,5]=>[4,6,2,7,3,1,5]=>[5,1,3,7,2,6,4]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,4,2,7,3,5,1]=>[4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,4,2,7,5,1,3]=>[2,6,7,4,1,5,3]=>[3,5,1,4,7,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,4,2,7,5,3,1]=>[6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[6,4,3,1,2,5,7]=>[1,4,6,3,2,5,7]=>[7,5,2,3,6,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,4,3,1,2,7,5]=>[6,1,7,4,3,2,5]=>[5,2,3,4,7,1,6]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,4,3,1,5,2,7]=>[4,6,3,5,1,2,7]=>[7,2,1,5,3,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[6,4,3,1,5,7,2]=>[4,6,3,5,1,7,2]=>[2,7,1,5,3,6,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[6,4,3,1,7,2,5]=>[4,6,3,1,7,2,5]=>[5,2,7,1,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,4,3,1,7,5,2]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[6,4,3,2,1,5,7]=>[4,6,3,2,1,5,7]=>[7,5,1,2,3,6,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,4,3,2,1,7,5]=>[6,7,4,3,2,1,5]=>[5,1,2,3,4,7,6]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[6,4,3,2,5,1,7]=>[4,6,3,2,5,1,7]=>[7,1,5,2,3,6,4]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[6,4,3,2,5,7,1]=>[4,6,3,2,5,7,1]=>[1,7,5,2,3,6,4]=>[.,[[[.,[.,[.,.]]],[.,.]],.]]
[6,4,3,2,7,1,5]=>[4,6,3,2,1,7,5]=>[5,7,1,2,3,6,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[6,4,3,2,7,5,1]=>[6,7,4,3,2,5,1]=>[1,5,2,3,4,7,6]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,4,3,5,1,2,7]=>[1,4,6,3,5,2,7]=>[7,2,5,3,6,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[6,4,3,5,1,7,2]=>[4,6,3,5,7,1,2]=>[2,1,7,5,3,6,4]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[6,4,3,5,2,1,7]=>[4,6,3,5,2,1,7]=>[7,1,2,5,3,6,4]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[6,4,3,5,2,7,1]=>[4,6,3,5,2,7,1]=>[1,7,2,5,3,6,4]=>[.,[[.,[[.,[.,.]],[.,.]]],.]]
[6,4,3,5,7,1,2]=>[1,4,6,3,5,7,2]=>[2,7,5,3,6,4,1]=>[[.,.],[[[.,[.,.]],[.,.]],.]]
[6,4,3,5,7,2,1]=>[4,6,3,5,7,2,1]=>[1,2,7,5,3,6,4]=>[.,[.,[[[.,[.,.]],[.,.]],.]]]
[6,4,3,7,1,2,5]=>[1,4,6,3,2,7,5]=>[5,7,2,3,6,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,4,3,7,1,5,2]=>[4,6,3,7,1,5,2]=>[2,5,1,7,3,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[6,4,3,7,2,1,5]=>[4,6,3,2,7,1,5]=>[5,1,7,2,3,6,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[6,4,3,7,2,5,1]=>[4,6,3,2,7,5,1]=>[1,5,7,2,3,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,4,3,7,5,1,2]=>[1,6,7,4,3,5,2]=>[2,5,3,4,7,6,1]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[6,4,3,7,5,2,1]=>[6,7,4,3,5,2,1]=>[1,2,5,3,4,7,6]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,4,5,1,2,3,7]=>[1,2,4,6,5,3,7]=>[7,3,5,6,4,2,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[6,4,5,1,2,7,3]=>[4,1,6,5,7,2,3]=>[3,2,7,5,6,1,4]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,4,5,1,3,2,7]=>[4,1,6,5,3,2,7]=>[7,2,3,5,6,1,4]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[6,4,5,1,3,7,2]=>[4,1,6,5,3,7,2]=>[2,7,3,5,6,1,4]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[6,4,5,1,7,2,3]=>[1,4,6,5,7,2,3]=>[3,2,7,5,6,4,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,4,5,1,7,3,2]=>[4,6,5,7,3,1,2]=>[2,1,3,7,5,6,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[6,4,5,2,1,3,7]=>[2,4,6,5,1,3,7]=>[7,3,1,5,6,4,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[6,4,5,2,1,7,3]=>[4,6,5,7,2,1,3]=>[3,1,2,7,5,6,4]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,4,5,2,3,1,7]=>[2,4,6,5,3,1,7]=>[7,1,3,5,6,4,2]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[6,4,5,2,3,7,1]=>[2,4,6,5,3,7,1]=>[1,7,3,5,6,4,2]=>[.,[[[.,.],[[.,.],[.,.]]],.]]
[6,4,5,2,7,1,3]=>[2,4,6,5,1,7,3]=>[3,7,1,5,6,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,4,5,2,7,3,1]=>[4,6,5,7,2,3,1]=>[1,3,2,7,5,6,4]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[6,4,5,3,1,2,7]=>[1,4,6,5,3,2,7]=>[7,2,3,5,6,4,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[6,4,5,3,1,7,2]=>[4,6,5,3,7,1,2]=>[2,1,7,3,5,6,4]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[6,4,5,3,2,1,7]=>[4,6,5,3,2,1,7]=>[7,1,2,3,5,6,4]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[6,4,5,3,2,7,1]=>[4,6,5,3,2,7,1]=>[1,7,2,3,5,6,4]=>[.,[[.,[.,[[.,.],[.,.]]]],.]]
[6,4,5,3,7,1,2]=>[1,4,6,5,3,7,2]=>[2,7,3,5,6,4,1]=>[[.,.],[[.,[[.,.],[.,.]]],.]]
[6,4,5,3,7,2,1]=>[4,6,5,3,7,2,1]=>[1,2,7,3,5,6,4]=>[.,[.,[[.,[[.,.],[.,.]]],.]]]
[6,4,5,7,1,2,3]=>[1,2,4,6,5,7,3]=>[3,7,5,6,4,2,1]=>[[[.,.],.],[[[.,.],[.,.]],.]]
[6,4,5,7,1,3,2]=>[4,1,6,5,7,3,2]=>[2,3,7,5,6,1,4]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[6,4,5,7,2,1,3]=>[2,4,6,5,7,1,3]=>[3,1,7,5,6,4,2]=>[[.,[.,.]],[[[.,.],[.,.]],.]]
[6,4,5,7,2,3,1]=>[2,4,6,5,7,3,1]=>[1,3,7,5,6,4,2]=>[.,[[.,.],[[[.,.],[.,.]],.]]]
[6,4,5,7,3,1,2]=>[1,4,6,5,7,3,2]=>[2,3,7,5,6,4,1]=>[[.,.],[.,[[[.,.],[.,.]],.]]]
[6,4,5,7,3,2,1]=>[4,6,5,7,3,2,1]=>[1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]
[6,4,7,1,2,3,5]=>[1,2,4,6,3,7,5]=>[5,7,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,4,7,1,2,5,3]=>[4,1,6,7,2,5,3]=>[3,5,2,7,6,1,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,4,7,1,3,2,5]=>[1,6,4,3,7,2,5]=>[5,2,7,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,4,7,1,3,5,2]=>[4,1,6,3,7,5,2]=>[2,5,7,3,6,1,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[6,4,7,1,5,2,3]=>[1,4,6,7,2,5,3]=>[3,5,2,7,6,4,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,4,7,1,5,3,2]=>[4,6,7,5,1,3,2]=>[2,3,1,5,7,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[6,4,7,2,1,3,5]=>[2,4,6,1,7,3,5]=>[5,3,7,1,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,4,7,2,1,5,3]=>[4,6,7,2,5,1,3]=>[3,1,5,2,7,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,4,7,2,3,1,5]=>[2,4,6,3,7,1,5]=>[5,1,7,3,6,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,4,7,2,3,5,1]=>[2,4,6,3,7,5,1]=>[1,5,7,3,6,4,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,4,7,2,5,1,3]=>[2,4,6,1,7,5,3]=>[3,5,7,1,6,4,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,4,7,2,5,3,1]=>[4,6,7,2,5,3,1]=>[1,3,5,2,7,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[6,4,7,3,1,2,5]=>[1,4,6,3,7,2,5]=>[5,2,7,3,6,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,4,7,3,1,5,2]=>[4,6,3,7,5,1,2]=>[2,1,5,7,3,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[6,4,7,3,2,1,5]=>[4,6,3,7,2,1,5]=>[5,1,2,7,3,6,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[6,4,7,3,2,5,1]=>[4,6,3,7,2,5,1]=>[1,5,2,7,3,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,4,7,3,5,1,2]=>[1,4,6,3,7,5,2]=>[2,5,7,3,6,4,1]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[6,4,7,3,5,2,1]=>[4,6,3,7,5,2,1]=>[1,2,5,7,3,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,4,7,5,1,2,3]=>[1,2,6,7,4,5,3]=>[3,5,4,7,6,2,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,4,7,5,1,3,2]=>[6,1,7,4,5,3,2]=>[2,3,5,4,7,1,6]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[6,4,7,5,2,1,3]=>[2,6,7,4,5,1,3]=>[3,1,5,4,7,6,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,4,7,5,2,3,1]=>[2,6,7,4,5,3,1]=>[1,3,5,4,7,6,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[6,4,7,5,3,1,2]=>[1,6,7,4,5,3,2]=>[2,3,5,4,7,6,1]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[6,4,7,5,3,2,1]=>[6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[6,5,1,2,3,4,7]=>[1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[6,5,1,2,3,7,4]=>[6,1,2,5,7,3,4]=>[4,3,7,5,2,1,6]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[6,5,1,2,4,3,7]=>[6,1,2,5,4,3,7]=>[7,3,4,5,2,1,6]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[6,5,1,2,4,7,3]=>[6,1,2,5,4,7,3]=>[3,7,4,5,2,1,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[6,5,1,2,7,3,4]=>[1,6,2,5,7,3,4]=>[4,3,7,5,2,6,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[6,5,1,2,7,4,3]=>[6,5,1,7,4,2,3]=>[3,2,4,7,1,5,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[6,5,1,3,2,4,7]=>[1,6,3,5,2,4,7]=>[7,4,2,5,3,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[6,5,1,3,2,7,4]=>[6,5,1,7,3,2,4]=>[4,2,3,7,1,5,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,5,1,3,4,2,7]=>[3,1,6,5,4,2,7]=>[7,2,4,5,6,1,3]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,5,1,3,4,7,2]=>[3,1,6,5,4,7,2]=>[2,7,4,5,6,1,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[6,5,1,3,7,2,4]=>[1,6,3,5,2,7,4]=>[4,7,2,5,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,5,1,3,7,4,2]=>[6,5,1,7,3,4,2]=>[2,4,3,7,1,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[6,5,1,4,2,3,7]=>[1,6,2,5,4,3,7]=>[7,3,4,5,2,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[6,5,1,4,2,7,3]=>[6,5,1,4,7,2,3]=>[3,2,7,4,1,5,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[6,5,1,4,3,2,7]=>[6,5,1,4,3,2,7]=>[7,2,3,4,1,5,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[6,5,1,4,3,7,2]=>[6,5,1,4,3,7,2]=>[2,7,3,4,1,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[6,5,1,4,7,2,3]=>[1,6,2,5,4,7,3]=>[3,7,4,5,2,6,1]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[6,5,1,4,7,3,2]=>[6,5,1,4,7,3,2]=>[2,3,7,4,1,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[6,5,1,7,2,3,4]=>[1,2,6,5,7,3,4]=>[4,3,7,5,6,2,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[6,5,1,7,2,4,3]=>[6,1,5,7,4,2,3]=>[3,2,4,7,5,1,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[6,5,1,7,3,2,4]=>[3,6,5,7,1,2,4]=>[4,2,1,7,5,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,5,1,7,3,4,2]=>[6,1,5,7,3,4,2]=>[2,4,3,7,5,1,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[6,5,1,7,4,2,3]=>[1,6,5,7,4,2,3]=>[3,2,4,7,5,6,1]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[6,5,1,7,4,3,2]=>[6,5,7,4,3,1,2]=>[2,1,3,4,7,5,6]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[6,5,2,1,3,4,7]=>[2,1,6,5,3,4,7]=>[7,4,3,5,6,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[6,5,2,1,3,7,4]=>[6,2,5,7,1,3,4]=>[4,3,1,7,5,2,6]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[6,5,2,1,4,3,7]=>[6,2,5,4,1,3,7]=>[7,3,1,4,5,2,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[6,5,2,1,4,7,3]=>[6,2,5,4,1,7,3]=>[3,7,1,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[6,5,2,1,7,3,4]=>[2,6,5,7,1,3,4]=>[4,3,1,7,5,6,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[6,5,2,1,7,4,3]=>[6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[6,5,2,3,1,4,7]=>[2,3,6,5,1,4,7]=>[7,4,1,5,6,3,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[6,5,2,3,1,7,4]=>[6,2,5,7,3,1,4]=>[4,1,3,7,5,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[6,5,2,3,4,1,7]=>[2,3,6,5,4,1,7]=>[7,1,4,5,6,3,2]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[6,5,2,3,4,7,1]=>[2,3,6,5,4,7,1]=>[1,7,4,5,6,3,2]=>[.,[[[[.,.],.],[.,[.,.]]],.]]
[6,5,2,3,7,1,4]=>[2,3,6,5,1,7,4]=>[4,7,1,5,6,3,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[6,5,2,3,7,4,1]=>[6,2,5,7,3,4,1]=>[1,4,3,7,5,2,6]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[6,5,2,4,1,3,7]=>[2,1,6,5,4,3,7]=>[7,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[6,5,2,4,1,7,3]=>[6,2,5,4,7,1,3]=>[3,1,7,4,5,2,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[6,5,2,4,3,1,7]=>[6,2,5,4,3,1,7]=>[7,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,5,2,4,3,7,1]=>[6,2,5,4,3,7,1]=>[1,7,3,4,5,2,6]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,5,2,4,7,1,3]=>[2,1,6,5,4,7,3]=>[3,7,4,5,6,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[6,5,2,4,7,3,1]=>[6,2,5,4,7,3,1]=>[1,3,7,4,5,2,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[6,5,2,7,1,3,4]=>[2,1,6,5,3,7,4]=>[4,7,3,5,6,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[6,5,2,7,1,4,3]=>[6,2,5,7,1,4,3]=>[3,4,1,7,5,2,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[6,5,2,7,3,1,4]=>[2,6,5,7,3,1,4]=>[4,1,3,7,5,6,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[6,5,2,7,3,4,1]=>[2,6,5,7,3,4,1]=>[1,4,3,7,5,6,2]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[6,5,2,7,4,1,3]=>[2,6,5,7,1,4,3]=>[3,4,1,7,5,6,2]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[6,5,2,7,4,3,1]=>[6,5,7,4,2,3,1]=>[1,3,2,4,7,5,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[6,5,3,1,2,4,7]=>[1,3,6,5,2,4,7]=>[7,4,2,5,6,3,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[6,5,3,1,2,7,4]=>[6,1,5,7,3,2,4]=>[4,2,3,7,5,1,6]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,5,3,1,4,2,7]=>[3,6,5,4,1,2,7]=>[7,2,1,4,5,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,5,3,1,4,7,2]=>[3,6,5,4,1,7,2]=>[2,7,1,4,5,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[6,5,3,1,7,2,4]=>[3,6,5,1,7,2,4]=>[4,2,7,1,5,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,5,3,1,7,4,2]=>[6,5,7,3,4,1,2]=>[2,1,4,3,7,5,6]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[6,5,3,2,1,4,7]=>[3,6,5,2,1,4,7]=>[7,4,1,2,5,6,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[6,5,3,2,1,7,4]=>[6,5,7,3,2,1,4]=>[4,1,2,3,7,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,5,3,2,4,1,7]=>[3,6,5,2,4,1,7]=>[7,1,4,2,5,6,3]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[6,5,3,2,4,7,1]=>[3,6,5,2,4,7,1]=>[1,7,4,2,5,6,3]=>[.,[[[.,[.,.]],[.,[.,.]]],.]]
[6,5,3,2,7,1,4]=>[3,6,5,2,1,7,4]=>[4,7,1,2,5,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,5,3,2,7,4,1]=>[6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,5,3,4,1,2,7]=>[1,3,6,5,4,2,7]=>[7,2,4,5,6,3,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,5,3,4,1,7,2]=>[3,6,5,4,7,1,2]=>[2,1,7,4,5,6,3]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[6,5,3,4,2,1,7]=>[3,6,5,4,2,1,7]=>[7,1,2,4,5,6,3]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,5,3,4,2,7,1]=>[3,6,5,4,2,7,1]=>[1,7,2,4,5,6,3]=>[.,[[.,[[.,.],[.,[.,.]]]],.]]
[6,5,3,4,7,1,2]=>[1,3,6,5,4,7,2]=>[2,7,4,5,6,3,1]=>[[.,.],[[[.,.],[.,[.,.]]],.]]
[6,5,3,4,7,2,1]=>[3,6,5,4,7,2,1]=>[1,2,7,4,5,6,3]=>[.,[.,[[[.,.],[.,[.,.]]],.]]]
[6,5,3,7,1,2,4]=>[1,3,6,5,2,7,4]=>[4,7,2,5,6,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,5,3,7,1,4,2]=>[3,6,5,7,1,4,2]=>[2,4,1,7,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[6,5,3,7,2,1,4]=>[3,6,5,2,7,1,4]=>[4,1,7,2,5,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,5,3,7,2,4,1]=>[3,6,5,2,7,4,1]=>[1,4,7,2,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,5,3,7,4,1,2]=>[1,6,5,7,3,4,2]=>[2,4,3,7,5,6,1]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[6,5,3,7,4,2,1]=>[6,5,7,3,4,2,1]=>[1,2,4,3,7,5,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[6,5,4,1,2,3,7]=>[1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[6,5,4,1,2,7,3]=>[6,1,5,4,7,2,3]=>[3,2,7,4,5,1,6]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[6,5,4,1,3,2,7]=>[6,1,5,4,3,2,7]=>[7,2,3,4,5,1,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[6,5,4,1,3,7,2]=>[6,1,5,4,3,7,2]=>[2,7,3,4,5,1,6]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[6,5,4,1,7,2,3]=>[1,6,5,4,7,2,3]=>[3,2,7,4,5,6,1]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[6,5,4,1,7,3,2]=>[6,5,4,7,3,1,2]=>[2,1,3,7,4,5,6]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[6,5,4,2,1,3,7]=>[2,6,5,4,1,3,7]=>[7,3,1,4,5,6,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[6,5,4,2,1,7,3]=>[6,5,4,7,2,1,3]=>[3,1,2,7,4,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[6,5,4,2,3,1,7]=>[2,6,5,4,3,1,7]=>[7,1,3,4,5,6,2]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,5,4,2,3,7,1]=>[2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2]=>[.,[[[.,.],[.,[.,[.,.]]]],.]]
[6,5,4,2,7,1,3]=>[2,6,5,4,1,7,3]=>[3,7,1,4,5,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[6,5,4,2,7,3,1]=>[6,5,4,7,2,3,1]=>[1,3,2,7,4,5,6]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[6,5,4,3,1,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[6,5,4,3,1,7,2]=>[6,5,4,3,7,1,2]=>[2,1,7,3,4,5,6]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,4,3,2,7,1]=>[6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6]=>[.,[[.,[.,[.,[.,[.,.]]]]],.]]
[6,5,4,3,7,1,2]=>[1,6,5,4,3,7,2]=>[2,7,3,4,5,6,1]=>[[.,.],[[.,[.,[.,[.,.]]]],.]]
[6,5,4,3,7,2,1]=>[6,5,4,3,7,2,1]=>[1,2,7,3,4,5,6]=>[.,[.,[[.,[.,[.,[.,.]]]],.]]]
[6,5,4,7,1,2,3]=>[1,2,6,5,4,7,3]=>[3,7,4,5,6,2,1]=>[[[.,.],.],[[.,[.,[.,.]]],.]]
[6,5,4,7,1,3,2]=>[6,1,5,4,7,3,2]=>[2,3,7,4,5,1,6]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[6,5,4,7,2,1,3]=>[2,6,5,4,7,1,3]=>[3,1,7,4,5,6,2]=>[[.,[.,.]],[[.,[.,[.,.]]],.]]
[6,5,4,7,2,3,1]=>[2,6,5,4,7,3,1]=>[1,3,7,4,5,6,2]=>[.,[[.,.],[[.,[.,[.,.]]],.]]]
[6,5,4,7,3,1,2]=>[1,6,5,4,7,3,2]=>[2,3,7,4,5,6,1]=>[[.,.],[.,[[.,[.,[.,.]]],.]]]
[6,5,4,7,3,2,1]=>[6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]
[6,5,7,1,2,3,4]=>[1,2,3,6,5,7,4]=>[4,7,5,6,3,2,1]=>[[[[.,.],.],.],[[.,[.,.]],.]]
[6,5,7,1,2,4,3]=>[6,1,2,5,7,4,3]=>[3,4,7,5,2,1,6]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[6,5,7,1,3,2,4]=>[1,6,3,5,7,2,4]=>[4,2,7,5,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,5,7,1,3,4,2]=>[3,1,6,5,7,4,2]=>[2,4,7,5,6,1,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[6,5,7,1,4,2,3]=>[1,6,2,5,7,4,3]=>[3,4,7,5,2,6,1]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[6,5,7,1,4,3,2]=>[6,5,1,7,4,3,2]=>[2,3,4,7,1,5,6]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[6,5,7,2,1,3,4]=>[2,1,6,5,7,3,4]=>[4,3,7,5,6,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],.]]
[6,5,7,2,1,4,3]=>[6,2,5,7,4,1,3]=>[3,1,4,7,5,2,6]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[6,5,7,2,3,1,4]=>[2,3,6,5,7,1,4]=>[4,1,7,5,6,3,2]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[6,5,7,2,3,4,1]=>[2,3,6,5,7,4,1]=>[1,4,7,5,6,3,2]=>[.,[[[.,.],.],[[.,[.,.]],.]]]
[6,5,7,2,4,1,3]=>[2,1,6,5,7,4,3]=>[3,4,7,5,6,1,2]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[6,5,7,2,4,3,1]=>[6,2,5,7,4,3,1]=>[1,3,4,7,5,2,6]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[6,5,7,3,1,2,4]=>[1,3,6,5,7,2,4]=>[4,2,7,5,6,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[6,5,7,3,1,4,2]=>[3,6,5,7,4,1,2]=>[2,1,4,7,5,6,3]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[6,5,7,3,2,1,4]=>[3,6,5,7,2,1,4]=>[4,1,2,7,5,6,3]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[6,5,7,3,2,4,1]=>[3,6,5,7,2,4,1]=>[1,4,2,7,5,6,3]=>[.,[[.,[.,.]],[[.,[.,.]],.]]]
[6,5,7,3,4,1,2]=>[1,3,6,5,7,4,2]=>[2,4,7,5,6,3,1]=>[[.,.],[[.,.],[[.,[.,.]],.]]]
[6,5,7,3,4,2,1]=>[3,6,5,7,4,2,1]=>[1,2,4,7,5,6,3]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]
[6,5,7,4,1,2,3]=>[1,2,6,5,7,4,3]=>[3,4,7,5,6,2,1]=>[[[.,.],.],[.,[[.,[.,.]],.]]]
[6,5,7,4,1,3,2]=>[6,1,5,7,4,3,2]=>[2,3,4,7,5,1,6]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[6,5,7,4,2,1,3]=>[2,6,5,7,4,1,3]=>[3,1,4,7,5,6,2]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[6,5,7,4,2,3,1]=>[2,6,5,7,4,3,1]=>[1,3,4,7,5,6,2]=>[.,[[.,.],[.,[[.,[.,.]],.]]]]
[6,5,7,4,3,1,2]=>[1,6,5,7,4,3,2]=>[2,3,4,7,5,6,1]=>[[.,.],[.,[.,[[.,[.,.]],.]]]]
[6,5,7,4,3,2,1]=>[6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]
[6,7,1,2,3,4,5]=>[1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],.]]
[6,7,1,2,3,5,4]=>[6,1,2,3,7,5,4]=>[4,5,7,3,2,1,6]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[6,7,1,2,4,3,5]=>[1,6,2,4,7,3,5]=>[5,3,7,4,2,6,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,7,1,2,4,5,3]=>[4,1,2,6,7,5,3]=>[3,5,7,6,2,1,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,7,1,2,5,3,4]=>[1,6,2,3,7,5,4]=>[4,5,7,3,2,6,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[6,7,1,2,5,4,3]=>[6,7,1,2,5,4,3]=>[3,4,5,2,1,7,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[6,7,1,3,2,4,5]=>[1,3,6,2,7,4,5]=>[5,4,7,2,6,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,7,1,3,2,5,4]=>[6,1,7,3,5,2,4]=>[4,2,5,3,7,1,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,7,1,3,4,2,5]=>[3,1,4,6,7,2,5]=>[5,2,7,6,4,1,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,7,1,3,4,5,2]=>[3,1,4,6,7,5,2]=>[2,5,7,6,4,1,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[6,7,1,3,5,2,4]=>[3,1,2,6,7,5,4]=>[4,5,7,6,2,1,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,7,1,3,5,4,2]=>[6,3,1,7,5,4,2]=>[2,4,5,7,1,3,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,7,1,4,2,3,5]=>[1,2,6,4,7,3,5]=>[5,3,7,4,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,7,1,4,2,5,3]=>[6,1,4,7,5,2,3]=>[3,2,5,7,4,1,6]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,7,1,4,3,2,5]=>[1,6,7,4,3,2,5]=>[5,2,3,4,7,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,7,1,4,3,5,2]=>[6,1,4,7,3,5,2]=>[2,5,3,7,4,1,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[6,7,1,4,5,2,3]=>[1,4,2,6,7,5,3]=>[3,5,7,6,2,4,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,7,1,4,5,3,2]=>[4,6,1,7,5,3,2]=>[2,3,5,7,1,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[6,7,1,5,2,3,4]=>[1,2,6,3,7,5,4]=>[4,5,7,3,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[6,7,1,5,2,4,3]=>[6,1,7,2,5,4,3]=>[3,4,5,2,7,1,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[6,7,1,5,3,2,4]=>[1,6,7,3,5,2,4]=>[4,2,5,3,7,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,7,1,5,3,4,2]=>[6,1,3,7,5,4,2]=>[2,4,5,7,3,1,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,7,1,5,4,2,3]=>[1,6,7,2,5,4,3]=>[3,4,5,2,7,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[6,7,1,5,4,3,2]=>[6,7,5,1,4,3,2]=>[2,3,4,1,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[6,7,2,1,3,4,5]=>[2,1,3,6,7,4,5]=>[5,4,7,6,3,1,2]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[6,7,2,1,3,5,4]=>[6,2,1,7,5,3,4]=>[4,3,5,7,1,2,6]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[6,7,2,1,4,3,5]=>[2,6,4,7,1,3,5]=>[5,3,1,7,4,6,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,7,2,1,4,5,3]=>[6,2,1,7,4,5,3]=>[3,5,4,7,1,2,6]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,7,2,1,5,3,4]=>[2,6,1,7,5,3,4]=>[4,3,5,7,1,6,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[6,7,2,1,5,4,3]=>[6,7,2,5,4,1,3]=>[3,1,4,5,2,7,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[6,7,2,3,1,4,5]=>[2,3,1,6,7,4,5]=>[5,4,7,6,1,3,2]=>[[[.,[[.,.],.]],.],[[.,.],.]]
[6,7,2,3,1,5,4]=>[6,2,3,7,5,1,4]=>[4,1,5,7,3,2,6]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[6,7,2,3,4,1,5]=>[2,3,4,6,7,1,5]=>[5,1,7,6,4,3,2]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[6,7,2,3,4,5,1]=>[2,3,4,6,7,5,1]=>[1,5,7,6,4,3,2]=>[.,[[[[.,.],.],.],[[.,.],.]]]
[6,7,2,3,5,1,4]=>[2,3,1,6,7,5,4]=>[4,5,7,6,1,3,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[6,7,2,3,5,4,1]=>[6,2,3,7,5,4,1]=>[1,4,5,7,3,2,6]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[6,7,2,4,1,3,5]=>[2,1,4,6,7,3,5]=>[5,3,7,6,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,7,2,4,1,5,3]=>[4,2,6,7,5,1,3]=>[3,1,5,7,6,2,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,7,2,4,3,1,5]=>[2,6,4,7,3,1,5]=>[5,1,3,7,4,6,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,7,2,4,3,5,1]=>[2,6,4,7,3,5,1]=>[1,5,3,7,4,6,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,7,2,4,5,1,3]=>[2,1,4,6,7,5,3]=>[3,5,7,6,4,1,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,7,2,4,5,3,1]=>[4,2,6,7,5,3,1]=>[1,3,5,7,6,2,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[6,7,2,5,1,3,4]=>[2,1,3,6,7,5,4]=>[4,5,7,6,3,1,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[6,7,2,5,1,4,3]=>[6,2,1,7,5,4,3]=>[3,4,5,7,1,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[6,7,2,5,3,1,4]=>[2,6,3,7,5,1,4]=>[4,1,5,7,3,6,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[6,7,2,5,3,4,1]=>[2,6,3,7,5,4,1]=>[1,4,5,7,3,6,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[6,7,2,5,4,1,3]=>[2,6,1,7,5,4,3]=>[3,4,5,7,1,6,2]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[6,7,2,5,4,3,1]=>[6,7,2,5,4,3,1]=>[1,3,4,5,2,7,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[6,7,3,1,2,4,5]=>[1,3,2,6,7,4,5]=>[5,4,7,6,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[6,7,3,1,2,5,4]=>[6,1,3,7,5,2,4]=>[4,2,5,7,3,1,6]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,7,3,1,4,2,5]=>[3,4,6,7,1,2,5]=>[5,2,1,7,6,4,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,7,3,1,4,5,2]=>[3,6,1,7,4,5,2]=>[2,5,4,7,1,6,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[6,7,3,1,5,2,4]=>[3,1,6,7,5,2,4]=>[4,2,5,7,6,1,3]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,7,3,1,5,4,2]=>[6,3,7,5,4,1,2]=>[2,1,4,5,7,3,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,7,3,2,1,4,5]=>[3,2,6,7,1,4,5]=>[5,4,1,7,6,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[6,7,3,2,1,5,4]=>[6,3,7,5,2,1,4]=>[4,1,2,5,7,3,6]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[6,7,3,2,4,1,5]=>[3,2,6,7,4,1,5]=>[5,1,4,7,6,2,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[6,7,3,2,4,5,1]=>[3,2,6,7,4,5,1]=>[1,5,4,7,6,2,3]=>[.,[[[.,[.,.]],.],[[.,.],.]]]
[6,7,3,2,5,1,4]=>[3,2,6,7,1,5,4]=>[4,5,1,7,6,2,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[6,7,3,2,5,4,1]=>[6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,7,3,4,1,2,5]=>[1,3,4,6,7,2,5]=>[5,2,7,6,4,3,1]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[6,7,3,4,1,5,2]=>[3,4,6,7,5,1,2]=>[2,1,5,7,6,4,3]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[6,7,3,4,2,1,5]=>[3,4,6,7,2,1,5]=>[5,1,2,7,6,4,3]=>[[.,[.,[[.,.],.]]],[[.,.],.]]
[6,7,3,4,2,5,1]=>[3,4,6,7,2,5,1]=>[1,5,2,7,6,4,3]=>[.,[[.,[[.,.],.]],[[.,.],.]]]
[6,7,3,4,5,1,2]=>[1,3,4,6,7,5,2]=>[2,5,7,6,4,3,1]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[6,7,3,4,5,2,1]=>[3,4,6,7,5,2,1]=>[1,2,5,7,6,4,3]=>[.,[.,[[[.,.],.],[[.,.],.]]]]
[6,7,3,5,1,2,4]=>[1,3,2,6,7,5,4]=>[4,5,7,6,2,3,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,7,3,5,1,4,2]=>[3,6,1,7,5,4,2]=>[2,4,5,7,1,6,3]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,7,3,5,2,1,4]=>[3,2,6,7,5,1,4]=>[4,1,5,7,6,2,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[6,7,3,5,2,4,1]=>[3,2,6,7,5,4,1]=>[1,4,5,7,6,2,3]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,7,3,5,4,1,2]=>[1,6,3,7,5,4,2]=>[2,4,5,7,3,6,1]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,7,3,5,4,2,1]=>[6,3,7,5,4,2,1]=>[1,2,4,5,7,3,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[6,7,4,1,2,3,5]=>[1,2,4,6,7,3,5]=>[5,3,7,6,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[6,7,4,1,2,5,3]=>[4,1,6,7,5,2,3]=>[3,2,5,7,6,1,4]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,7,4,1,3,2,5]=>[1,6,4,7,3,2,5]=>[5,2,3,7,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,7,4,1,3,5,2]=>[4,1,6,7,3,5,2]=>[2,5,3,7,6,1,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[6,7,4,1,5,2,3]=>[1,4,6,7,5,2,3]=>[3,2,5,7,6,4,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,7,4,1,5,3,2]=>[4,6,7,5,3,1,2]=>[2,1,3,5,7,6,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[6,7,4,2,1,3,5]=>[2,4,6,7,1,3,5]=>[5,3,1,7,6,4,2]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[6,7,4,2,1,5,3]=>[4,6,7,5,2,1,3]=>[3,1,2,5,7,6,4]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,7,4,2,3,1,5]=>[2,4,6,7,3,1,5]=>[5,1,3,7,6,4,2]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[6,7,4,2,3,5,1]=>[2,4,6,7,3,5,1]=>[1,5,3,7,6,4,2]=>[.,[[[.,.],[.,.]],[[.,.],.]]]
[6,7,4,2,5,1,3]=>[2,4,6,7,1,5,3]=>[3,5,1,7,6,4,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,7,4,2,5,3,1]=>[4,6,7,5,2,3,1]=>[1,3,2,5,7,6,4]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[6,7,4,3,1,2,5]=>[1,4,6,7,3,2,5]=>[5,2,3,7,6,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[6,7,4,3,1,5,2]=>[4,6,7,3,5,1,2]=>[2,1,5,3,7,6,4]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[6,7,4,3,2,1,5]=>[4,6,7,3,2,1,5]=>[5,1,2,3,7,6,4]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[6,7,4,3,2,5,1]=>[4,6,7,3,2,5,1]=>[1,5,2,3,7,6,4]=>[.,[[.,[.,[.,.]]],[[.,.],.]]]
[6,7,4,3,5,1,2]=>[1,4,6,7,3,5,2]=>[2,5,3,7,6,4,1]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[6,7,4,3,5,2,1]=>[4,6,7,3,5,2,1]=>[1,2,5,3,7,6,4]=>[.,[.,[[.,[.,.]],[[.,.],.]]]]
[6,7,4,5,1,2,3]=>[1,2,4,6,7,5,3]=>[3,5,7,6,4,2,1]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[6,7,4,5,1,3,2]=>[4,1,6,7,5,3,2]=>[2,3,5,7,6,1,4]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[6,7,4,5,2,1,3]=>[2,4,6,7,5,1,3]=>[3,1,5,7,6,4,2]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[6,7,4,5,2,3,1]=>[2,4,6,7,5,3,1]=>[1,3,5,7,6,4,2]=>[.,[[.,.],[[.,.],[[.,.],.]]]]
[6,7,4,5,3,1,2]=>[1,4,6,7,5,3,2]=>[2,3,5,7,6,4,1]=>[[.,.],[.,[[.,.],[[.,.],.]]]]
[6,7,4,5,3,2,1]=>[4,6,7,5,3,2,1]=>[1,2,3,5,7,6,4]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]
[6,7,5,1,2,3,4]=>[1,2,3,6,7,5,4]=>[4,5,7,6,3,2,1]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[6,7,5,1,2,4,3]=>[6,1,2,7,5,4,3]=>[3,4,5,7,2,1,6]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[6,7,5,1,3,2,4]=>[1,6,3,7,5,2,4]=>[4,2,5,7,3,6,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,7,5,1,3,4,2]=>[3,1,6,7,5,4,2]=>[2,4,5,7,6,1,3]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,7,5,1,4,2,3]=>[1,6,2,7,5,4,3]=>[3,4,5,7,2,6,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[6,7,5,1,4,3,2]=>[6,7,1,5,4,3,2]=>[2,3,4,5,1,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[6,7,5,2,1,3,4]=>[2,1,6,7,5,3,4]=>[4,3,5,7,6,1,2]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[6,7,5,2,1,4,3]=>[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[6,7,5,2,3,1,4]=>[2,3,6,7,5,1,4]=>[4,1,5,7,6,3,2]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[6,7,5,2,3,4,1]=>[2,3,6,7,5,4,1]=>[1,4,5,7,6,3,2]=>[.,[[[.,.],.],[.,[[.,.],.]]]]
[6,7,5,2,4,1,3]=>[2,1,6,7,5,4,3]=>[3,4,5,7,6,1,2]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[6,7,5,2,4,3,1]=>[6,2,7,5,4,3,1]=>[1,3,4,5,7,2,6]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[6,7,5,3,1,2,4]=>[1,3,6,7,5,2,4]=>[4,2,5,7,6,3,1]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[6,7,5,3,1,4,2]=>[3,6,7,5,4,1,2]=>[2,1,4,5,7,6,3]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,7,5,3,2,1,4]=>[3,6,7,5,2,1,4]=>[4,1,2,5,7,6,3]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[6,7,5,3,2,4,1]=>[3,6,7,5,2,4,1]=>[1,4,2,5,7,6,3]=>[.,[[.,[.,.]],[.,[[.,.],.]]]]
[6,7,5,3,4,1,2]=>[1,3,6,7,5,4,2]=>[2,4,5,7,6,3,1]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[6,7,5,3,4,2,1]=>[3,6,7,5,4,2,1]=>[1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]
[6,7,5,4,1,2,3]=>[1,2,6,7,5,4,3]=>[3,4,5,7,6,2,1]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[6,7,5,4,1,3,2]=>[6,1,7,5,4,3,2]=>[2,3,4,5,7,1,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[6,7,5,4,2,1,3]=>[2,6,7,5,4,1,3]=>[3,1,4,5,7,6,2]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[6,7,5,4,2,3,1]=>[2,6,7,5,4,3,1]=>[1,3,4,5,7,6,2]=>[.,[[.,.],[.,[.,[[.,.],.]]]]]
[6,7,5,4,3,1,2]=>[1,6,7,5,4,3,2]=>[2,3,4,5,7,6,1]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[6,7,5,4,3,2,1]=>[6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]
[7,1,2,3,4,5,6]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,.]]
[7,1,2,3,4,6,5]=>[7,1,2,3,4,6,5]=>[5,6,4,3,2,1,7]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[7,1,2,3,5,4,6]=>[1,7,2,3,5,4,6]=>[6,4,5,3,2,7,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[7,1,2,3,5,6,4]=>[5,1,2,3,7,6,4]=>[4,6,7,3,2,1,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[7,1,2,3,6,4,5]=>[1,7,2,3,4,6,5]=>[5,6,4,3,2,7,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[7,1,2,3,6,5,4]=>[7,6,1,2,3,5,4]=>[4,5,3,2,1,6,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[7,1,2,4,3,5,6]=>[1,2,7,4,3,5,6]=>[6,5,3,4,7,2,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[7,1,2,4,3,6,5]=>[7,1,6,2,4,3,5]=>[5,3,4,2,6,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,1,2,4,5,3,6]=>[4,1,2,5,7,3,6]=>[6,3,7,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,1,2,4,5,6,3]=>[4,1,2,5,7,6,3]=>[3,6,7,5,2,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[7,1,2,4,6,3,5]=>[4,1,2,3,7,6,5]=>[5,6,7,3,2,1,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,1,2,4,6,5,3]=>[7,4,1,2,6,5,3]=>[3,5,6,2,1,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,1,2,5,3,4,6]=>[1,2,7,3,5,4,6]=>[6,4,5,3,7,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[7,1,2,5,3,6,4]=>[7,1,5,2,6,3,4]=>[4,3,6,2,5,1,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[7,1,2,5,4,3,6]=>[5,7,1,2,4,3,6]=>[6,3,4,2,1,7,5]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[7,1,2,5,4,6,3]=>[7,1,5,2,4,6,3]=>[3,6,4,2,5,1,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[7,1,2,5,6,3,4]=>[1,5,2,3,7,6,4]=>[4,6,7,3,2,5,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[7,1,2,5,6,4,3]=>[5,7,1,2,6,4,3]=>[3,4,6,2,1,7,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[7,1,2,6,3,4,5]=>[1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[7,1,2,6,3,5,4]=>[7,1,6,2,3,5,4]=>[4,5,3,2,6,1,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[7,1,2,6,4,3,5]=>[1,7,6,2,4,3,5]=>[5,3,4,2,6,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,1,2,6,4,5,3]=>[7,1,4,2,6,5,3]=>[3,5,6,2,4,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,1,2,6,5,3,4]=>[1,7,6,2,3,5,4]=>[4,5,3,2,6,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[7,1,2,6,5,4,3]=>[7,6,5,1,2,4,3]=>[3,4,2,1,5,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[7,1,3,2,4,5,6]=>[1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[7,1,3,2,4,6,5]=>[7,1,3,6,2,4,5]=>[5,4,2,6,3,1,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[7,1,3,2,5,4,6]=>[1,7,5,3,2,4,6]=>[6,4,2,3,5,7,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,1,3,2,5,6,4]=>[7,1,3,5,2,6,4]=>[4,6,2,5,3,1,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,1,3,2,6,4,5]=>[1,7,3,6,2,4,5]=>[5,4,2,6,3,7,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[7,1,3,2,6,5,4]=>[7,6,1,5,3,2,4]=>[4,2,3,5,1,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,1,3,4,2,5,6]=>[3,1,4,2,7,5,6]=>[6,5,7,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[7,1,3,4,2,6,5]=>[7,3,1,4,6,2,5]=>[5,2,6,4,1,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[7,1,3,4,5,2,6]=>[3,1,4,5,7,2,6]=>[6,2,7,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,1,3,4,5,6,2]=>[3,1,4,5,7,6,2]=>[2,6,7,5,4,1,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[7,1,3,4,6,2,5]=>[3,1,4,2,7,6,5]=>[5,6,7,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[7,1,3,4,6,5,2]=>[7,3,1,4,6,5,2]=>[2,5,6,4,1,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[7,1,3,5,2,4,6]=>[3,1,2,5,7,4,6]=>[6,4,7,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,1,3,5,2,6,4]=>[5,3,1,7,6,2,4]=>[4,2,6,7,1,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,1,3,5,4,2,6]=>[3,7,1,5,4,2,6]=>[6,2,4,5,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[7,1,3,5,4,6,2]=>[7,1,3,5,4,6,2]=>[2,6,4,5,3,1,7]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[7,1,3,5,6,2,4]=>[3,1,2,5,7,6,4]=>[4,6,7,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,1,3,5,6,4,2]=>[5,3,1,7,6,4,2]=>[2,4,6,7,1,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,1,3,6,2,4,5]=>[3,1,2,4,7,6,5]=>[5,6,7,4,2,1,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[7,1,3,6,2,5,4]=>[7,3,1,2,6,5,4]=>[4,5,6,2,1,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,1,3,6,4,2,5]=>[3,7,1,4,6,2,5]=>[5,2,6,4,1,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[7,1,3,6,4,5,2]=>[7,1,3,4,6,5,2]=>[2,5,6,4,3,1,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[7,1,3,6,5,2,4]=>[3,7,1,2,6,5,4]=>[4,5,6,2,1,7,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,1,3,6,5,4,2]=>[7,6,3,1,5,4,2]=>[2,4,5,1,3,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[7,1,4,2,3,5,6]=>[1,2,4,7,3,5,6]=>[6,5,3,7,4,2,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[7,1,4,2,3,6,5]=>[7,1,2,6,4,3,5]=>[5,3,4,6,2,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,1,4,2,5,3,6]=>[1,7,4,5,2,3,6]=>[6,3,2,5,4,7,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,1,4,2,5,6,3]=>[4,1,7,5,2,6,3]=>[3,6,2,5,7,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[7,1,4,2,6,3,5]=>[1,7,4,2,6,3,5]=>[5,3,6,2,4,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,1,4,2,6,5,3]=>[7,6,1,4,5,2,3]=>[3,2,5,4,1,6,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,1,4,3,2,5,6]=>[4,1,7,3,2,5,6]=>[6,5,2,3,7,1,4]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[7,1,4,3,2,6,5]=>[7,4,6,1,3,2,5]=>[5,2,3,1,6,4,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[7,1,4,3,5,2,6]=>[1,7,4,3,5,2,6]=>[6,2,5,3,4,7,1]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[7,1,4,3,5,6,2]=>[4,1,7,3,5,6,2]=>[2,6,5,3,7,1,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[7,1,4,3,6,2,5]=>[1,7,4,3,2,6,5]=>[5,6,2,3,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[7,1,4,3,6,5,2]=>[7,6,1,4,3,5,2]=>[2,5,3,4,1,6,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[7,1,4,5,2,3,6]=>[1,4,2,5,7,3,6]=>[6,3,7,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,1,4,5,2,6,3]=>[4,5,1,7,6,2,3]=>[3,2,6,7,1,5,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[7,1,4,5,3,2,6]=>[4,1,7,5,3,2,6]=>[6,2,3,5,7,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[7,1,4,5,3,6,2]=>[4,5,1,7,3,6,2]=>[2,6,3,7,1,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[7,1,4,5,6,2,3]=>[1,4,2,5,7,6,3]=>[3,6,7,5,2,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[7,1,4,5,6,3,2]=>[4,5,1,7,6,3,2]=>[2,3,6,7,1,5,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[7,1,4,6,2,3,5]=>[1,4,2,3,7,6,5]=>[5,6,7,3,2,4,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,1,4,6,2,5,3]=>[4,7,1,2,6,5,3]=>[3,5,6,2,1,7,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,1,4,6,3,2,5]=>[4,1,7,3,6,2,5]=>[5,2,6,3,7,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[7,1,4,6,3,5,2]=>[4,3,1,7,6,5,2]=>[2,5,6,7,1,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[7,1,4,6,5,2,3]=>[1,7,4,2,6,5,3]=>[3,5,6,2,4,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,1,4,6,5,3,2]=>[7,4,6,1,5,3,2]=>[2,3,5,1,6,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[7,1,5,2,3,4,6]=>[1,2,3,7,5,4,6]=>[6,4,5,7,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[7,1,5,2,3,6,4]=>[7,1,2,5,6,3,4]=>[4,3,6,5,2,1,7]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[7,1,5,2,4,3,6]=>[1,7,5,2,4,3,6]=>[6,3,4,2,5,7,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[7,1,5,2,4,6,3]=>[7,1,2,5,4,6,3]=>[3,6,4,5,2,1,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[7,1,5,2,6,3,4]=>[1,7,2,5,6,3,4]=>[4,3,6,5,2,7,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[7,1,5,2,6,4,3]=>[7,5,1,6,4,2,3]=>[3,2,4,6,1,5,7]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[7,1,5,3,2,4,6]=>[1,5,7,3,2,4,6]=>[6,4,2,3,7,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,1,5,3,2,6,4]=>[5,7,6,1,3,2,4]=>[4,2,3,1,6,7,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,1,5,3,4,2,6]=>[1,7,3,5,4,2,6]=>[6,2,4,5,3,7,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[7,1,5,3,4,6,2]=>[3,1,7,5,4,6,2]=>[2,6,4,5,7,1,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[7,1,5,3,6,2,4]=>[1,7,3,5,2,6,4]=>[4,6,2,5,3,7,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,1,5,3,6,4,2]=>[7,5,1,6,3,4,2]=>[2,4,3,6,1,5,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,1,5,4,2,3,6]=>[1,5,7,2,4,3,6]=>[6,3,4,2,7,5,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[7,1,5,4,2,6,3]=>[5,7,4,1,6,2,3]=>[3,2,6,1,4,7,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[7,1,5,4,3,2,6]=>[5,7,4,1,3,2,6]=>[6,2,3,1,4,7,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[7,1,5,4,3,6,2]=>[5,7,4,1,3,6,2]=>[2,6,3,1,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[7,1,5,4,6,2,3]=>[1,7,2,5,4,6,3]=>[3,6,4,5,2,7,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[7,1,5,4,6,3,2]=>[7,5,1,4,6,3,2]=>[2,3,6,4,1,5,7]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[7,1,5,6,2,3,4]=>[1,2,5,3,7,6,4]=>[4,6,7,3,5,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[7,1,5,6,2,4,3]=>[5,1,7,2,6,4,3]=>[3,4,6,2,7,1,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[7,1,5,6,3,2,4]=>[1,5,7,3,6,2,4]=>[4,2,6,3,7,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,1,5,6,3,4,2]=>[5,1,3,7,6,4,2]=>[2,4,6,7,3,1,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,1,5,6,4,2,3]=>[1,5,7,2,6,4,3]=>[3,4,6,2,7,5,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[7,1,5,6,4,3,2]=>[5,7,6,1,4,3,2]=>[2,3,4,1,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[7,1,6,2,3,4,5]=>[1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[7,1,6,2,3,5,4]=>[7,1,2,6,3,5,4]=>[4,5,3,6,2,1,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[7,1,6,2,4,3,5]=>[1,7,2,6,4,3,5]=>[5,3,4,6,2,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,1,6,2,4,5,3]=>[7,1,2,4,6,5,3]=>[3,5,6,4,2,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,1,6,2,5,3,4]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[7,1,6,2,5,4,3]=>[7,6,1,5,2,4,3]=>[3,4,2,5,1,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[7,1,6,3,2,4,5]=>[1,3,7,6,2,4,5]=>[5,4,2,6,7,3,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[7,1,6,3,2,5,4]=>[7,1,6,5,3,2,4]=>[4,2,3,5,6,1,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,1,6,3,4,2,5]=>[1,7,3,4,6,2,5]=>[5,2,6,4,3,7,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[7,1,6,3,4,5,2]=>[3,1,7,4,6,5,2]=>[2,5,6,4,7,1,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[7,1,6,3,5,2,4]=>[1,7,3,2,6,5,4]=>[4,5,6,2,3,7,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,1,6,3,5,4,2]=>[7,6,1,3,5,4,2]=>[2,4,5,3,1,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[7,1,6,4,2,3,5]=>[1,2,7,6,4,3,5]=>[5,3,4,6,7,2,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,1,6,4,2,5,3]=>[7,1,6,4,5,2,3]=>[3,2,5,4,6,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,1,6,4,3,2,5]=>[4,7,6,1,3,2,5]=>[5,2,3,1,6,7,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[7,1,6,4,3,5,2]=>[7,1,6,4,3,5,2]=>[2,5,3,4,6,1,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[7,1,6,4,5,2,3]=>[1,7,2,4,6,5,3]=>[3,5,6,4,2,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,1,6,4,5,3,2]=>[7,4,1,6,5,3,2]=>[2,3,5,6,1,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[7,1,6,5,2,3,4]=>[1,2,7,6,3,5,4]=>[4,5,3,6,7,2,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[7,1,6,5,2,4,3]=>[7,1,6,5,2,4,3]=>[3,4,2,5,6,1,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[7,1,6,5,3,2,4]=>[1,7,6,5,3,2,4]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,1,6,5,3,4,2]=>[7,1,6,3,5,4,2]=>[2,4,5,3,6,1,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[7,1,6,5,4,2,3]=>[1,7,6,5,2,4,3]=>[3,4,2,5,6,7,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[7,1,6,5,4,3,2]=>[7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[7,2,1,3,4,5,6]=>[2,1,3,4,7,5,6]=>[6,5,7,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[7,2,1,3,4,6,5]=>[7,2,1,3,6,4,5]=>[5,4,6,3,1,2,7]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[7,2,1,3,5,4,6]=>[2,7,1,5,3,4,6]=>[6,4,3,5,1,7,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[7,2,1,3,5,6,4]=>[7,2,1,3,5,6,4]=>[4,6,5,3,1,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[7,2,1,3,6,4,5]=>[2,7,1,3,6,4,5]=>[5,4,6,3,1,7,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[7,2,1,3,6,5,4]=>[7,6,2,1,5,3,4]=>[4,3,5,1,2,6,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[7,2,1,4,3,5,6]=>[2,4,7,1,3,5,6]=>[6,5,3,1,7,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[7,2,1,4,3,6,5]=>[7,2,6,4,1,3,5]=>[5,3,1,4,6,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[7,2,1,4,5,3,6]=>[2,7,1,4,5,3,6]=>[6,3,5,4,1,7,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[7,2,1,4,5,6,3]=>[4,2,1,7,5,6,3]=>[3,6,5,7,1,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,2,1,4,6,3,5]=>[2,7,1,4,3,6,5]=>[5,6,3,4,1,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[7,2,1,4,6,5,3]=>[7,6,2,1,4,5,3]=>[3,5,4,1,2,6,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,2,1,5,3,4,6]=>[2,1,7,5,3,4,6]=>[6,4,3,5,7,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[7,2,1,5,3,6,4]=>[7,2,5,6,1,3,4]=>[4,3,1,6,5,2,7]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[7,2,1,5,4,3,6]=>[5,7,2,4,1,3,6]=>[6,3,1,4,2,7,5]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[7,2,1,5,4,6,3]=>[7,2,5,4,1,6,3]=>[3,6,1,4,5,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[7,2,1,5,6,3,4]=>[2,7,1,3,5,6,4]=>[4,6,5,3,1,7,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[7,2,1,5,6,4,3]=>[7,5,2,1,6,4,3]=>[3,4,6,1,2,5,7]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[7,2,1,6,3,4,5]=>[2,1,7,3,6,4,5]=>[5,4,6,3,7,1,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[7,2,1,6,3,5,4]=>[7,2,6,1,5,3,4]=>[4,3,5,1,6,2,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[7,2,1,6,4,3,5]=>[2,7,6,4,1,3,5]=>[5,3,1,4,6,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[7,2,1,6,4,5,3]=>[7,2,6,1,4,5,3]=>[3,5,4,1,6,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,2,1,6,5,3,4]=>[2,7,6,1,5,3,4]=>[4,3,5,1,6,7,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[7,2,1,6,5,4,3]=>[7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[7,2,3,1,4,5,6]=>[2,3,1,4,7,5,6]=>[6,5,7,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],[.,.]]
[7,2,3,1,4,6,5]=>[7,2,3,1,6,4,5]=>[5,4,6,1,3,2,7]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[7,2,3,1,5,4,6]=>[2,7,3,5,1,4,6]=>[6,4,1,5,3,7,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[7,2,3,1,5,6,4]=>[7,2,3,1,5,6,4]=>[4,6,5,1,3,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,2,3,1,6,4,5]=>[2,7,3,1,6,4,5]=>[5,4,6,1,3,7,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[7,2,3,1,6,5,4]=>[7,6,2,3,5,1,4]=>[4,1,5,3,2,6,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[7,2,3,4,1,5,6]=>[2,3,4,1,7,5,6]=>[6,5,7,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],[.,.]]
[7,2,3,4,1,6,5]=>[7,2,3,4,6,1,5]=>[5,1,6,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[7,2,3,4,5,1,6]=>[2,3,4,5,7,1,6]=>[6,1,7,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],[.,.]]
[7,2,3,4,5,6,1]=>[2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[7,2,3,4,6,1,5]=>[2,3,4,1,7,6,5]=>[5,6,7,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[7,2,3,4,6,5,1]=>[7,2,3,4,6,5,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[7,2,3,5,1,4,6]=>[2,3,1,5,7,4,6]=>[6,4,7,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[7,2,3,5,1,6,4]=>[5,2,3,7,6,1,4]=>[4,1,6,7,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,2,3,5,4,1,6]=>[2,7,3,5,4,1,6]=>[6,1,4,5,3,7,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[7,2,3,5,4,6,1]=>[2,7,3,5,4,6,1]=>[1,6,4,5,3,7,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[7,2,3,5,6,1,4]=>[2,3,1,5,7,6,4]=>[4,6,7,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,2,3,5,6,4,1]=>[5,2,3,7,6,4,1]=>[1,4,6,7,3,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,2,3,6,1,4,5]=>[2,3,1,4,7,6,5]=>[5,6,7,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[7,2,3,6,1,5,4]=>[7,2,3,1,6,5,4]=>[4,5,6,1,3,2,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[7,2,3,6,4,1,5]=>[2,7,3,4,6,1,5]=>[5,1,6,4,3,7,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[7,2,3,6,4,5,1]=>[2,7,3,4,6,5,1]=>[1,5,6,4,3,7,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[7,2,3,6,5,1,4]=>[2,7,3,1,6,5,4]=>[4,5,6,1,3,7,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[7,2,3,6,5,4,1]=>[7,6,2,3,5,4,1]=>[1,4,5,3,2,6,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,2,4,1,3,5,6]=>[2,1,4,3,7,5,6]=>[6,5,7,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[7,2,4,1,3,6,5]=>[7,2,1,4,6,3,5]=>[5,3,6,4,1,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[7,2,4,1,5,3,6]=>[4,2,5,7,1,3,6]=>[6,3,1,7,5,2,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[7,2,4,1,5,6,3]=>[4,2,7,1,5,6,3]=>[3,6,5,1,7,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,2,4,1,6,3,5]=>[4,2,1,7,6,3,5]=>[5,3,6,7,1,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[7,2,4,1,6,5,3]=>[7,4,2,6,5,1,3]=>[3,1,5,6,2,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,2,4,3,1,5,6]=>[2,4,7,3,1,5,6]=>[6,5,1,3,7,4,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[7,2,4,3,1,6,5]=>[7,2,6,4,3,1,5]=>[5,1,3,4,6,2,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,2,4,3,5,1,6]=>[2,4,7,3,5,1,6]=>[6,1,5,3,7,4,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[7,2,4,3,5,6,1]=>[2,4,7,3,5,6,1]=>[1,6,5,3,7,4,2]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,2,4,3,6,1,5]=>[2,4,7,3,1,6,5]=>[5,6,1,3,7,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,2,4,3,6,5,1]=>[7,2,6,4,3,5,1]=>[1,5,3,4,6,2,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,4,5,1,3,6]=>[2,1,4,5,7,3,6]=>[6,3,7,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[7,2,4,5,1,6,3]=>[4,2,5,7,6,1,3]=>[3,1,6,7,5,2,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,2,4,5,3,1,6]=>[4,2,5,7,3,1,6]=>[6,1,3,7,5,2,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[7,2,4,5,3,6,1]=>[4,2,5,7,3,6,1]=>[1,6,3,7,5,2,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,2,4,5,6,1,3]=>[2,1,4,5,7,6,3]=>[3,6,7,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,2,4,5,6,3,1]=>[4,2,5,7,6,3,1]=>[1,3,6,7,5,2,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[7,2,4,6,1,3,5]=>[2,1,4,3,7,6,5]=>[5,6,7,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[7,2,4,6,1,5,3]=>[4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,2,4,6,3,1,5]=>[4,2,3,7,6,1,5]=>[5,1,6,7,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,2,4,6,3,5,1]=>[4,2,3,7,6,5,1]=>[1,5,6,7,3,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,4,6,5,1,3]=>[2,7,1,4,6,5,3]=>[3,5,6,4,1,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,2,4,6,5,3,1]=>[7,4,2,6,5,3,1]=>[1,3,5,6,2,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,5,1,3,4,6]=>[2,1,3,5,7,4,6]=>[6,4,7,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[7,2,5,1,3,6,4]=>[5,2,1,7,6,3,4]=>[4,3,6,7,1,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[7,2,5,1,4,3,6]=>[2,7,1,5,4,3,6]=>[6,3,4,5,1,7,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[7,2,5,1,4,6,3]=>[5,2,1,7,4,6,3]=>[3,6,4,7,1,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[7,2,5,1,6,3,4]=>[2,5,1,7,6,3,4]=>[4,3,6,7,1,5,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[7,2,5,1,6,4,3]=>[5,7,2,6,4,1,3]=>[3,1,4,6,2,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[7,2,5,3,1,4,6]=>[2,3,7,5,1,4,6]=>[6,4,1,5,7,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[7,2,5,3,1,6,4]=>[7,2,5,6,3,1,4]=>[4,1,3,6,5,2,7]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,2,5,3,4,1,6]=>[2,3,7,5,4,1,6]=>[6,1,4,5,7,3,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[7,2,5,3,4,6,1]=>[2,3,7,5,4,6,1]=>[1,6,4,5,7,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[7,2,5,3,6,1,4]=>[2,3,7,5,1,6,4]=>[4,6,1,5,7,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,2,5,3,6,4,1]=>[7,2,5,6,3,4,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,2,5,4,1,3,6]=>[2,1,7,5,4,3,6]=>[6,3,4,5,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[7,2,5,4,1,6,3]=>[7,2,5,4,6,1,3]=>[3,1,6,4,5,2,7]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[7,2,5,4,3,1,6]=>[5,7,2,4,3,1,6]=>[6,1,3,4,2,7,5]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[7,2,5,4,3,6,1]=>[5,7,2,4,3,6,1]=>[1,6,3,4,2,7,5]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,2,5,4,6,1,3]=>[2,1,7,5,4,6,3]=>[3,6,4,5,7,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[7,2,5,4,6,3,1]=>[7,2,5,4,6,3,1]=>[1,3,6,4,5,2,7]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,2,5,6,1,3,4]=>[2,1,3,5,7,6,4]=>[4,6,7,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[7,2,5,6,1,4,3]=>[5,2,1,7,6,4,3]=>[3,4,6,7,1,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[7,2,5,6,3,1,4]=>[2,5,3,7,6,1,4]=>[4,1,6,7,3,5,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,2,5,6,3,4,1]=>[2,5,3,7,6,4,1]=>[1,4,6,7,3,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,2,5,6,4,1,3]=>[2,5,1,7,6,4,3]=>[3,4,6,7,1,5,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[7,2,5,6,4,3,1]=>[5,7,2,6,4,3,1]=>[1,3,4,6,2,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,6,1,3,4,5]=>[2,1,3,4,7,6,5]=>[5,6,7,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[7,2,6,1,3,5,4]=>[7,2,1,3,6,5,4]=>[4,5,6,3,1,2,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[7,2,6,1,4,3,5]=>[2,7,1,4,6,3,5]=>[5,3,6,4,1,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[7,2,6,1,4,5,3]=>[4,2,1,7,6,5,3]=>[3,5,6,7,1,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,2,6,1,5,3,4]=>[2,7,1,3,6,5,4]=>[4,5,6,3,1,7,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[7,2,6,1,5,4,3]=>[7,6,2,1,5,4,3]=>[3,4,5,1,2,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[7,2,6,3,1,4,5]=>[2,3,7,1,6,4,5]=>[5,4,6,1,7,3,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[7,2,6,3,1,5,4]=>[7,2,6,3,5,1,4]=>[4,1,5,3,6,2,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[7,2,6,3,4,1,5]=>[2,3,7,4,6,1,5]=>[5,1,6,4,7,3,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[7,2,6,3,4,5,1]=>[2,3,7,4,6,5,1]=>[1,5,6,4,7,3,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[7,2,6,3,5,1,4]=>[2,3,7,1,6,5,4]=>[4,5,6,1,7,3,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[7,2,6,3,5,4,1]=>[7,2,6,3,5,4,1]=>[1,4,5,3,6,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,2,6,4,1,3,5]=>[2,1,7,4,6,3,5]=>[5,3,6,4,7,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[7,2,6,4,1,5,3]=>[7,2,4,6,5,1,3]=>[3,1,5,6,4,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,2,6,4,3,1,5]=>[2,7,6,4,3,1,5]=>[5,1,3,4,6,7,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,2,6,4,3,5,1]=>[2,7,6,4,3,5,1]=>[1,5,3,4,6,7,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,2,6,4,5,1,3]=>[2,1,7,4,6,5,3]=>[3,5,6,4,7,1,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,2,6,4,5,3,1]=>[7,2,4,6,5,3,1]=>[1,3,5,6,4,2,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,6,5,1,3,4]=>[2,1,7,3,6,5,4]=>[4,5,6,3,7,1,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[7,2,6,5,1,4,3]=>[7,2,6,1,5,4,3]=>[3,4,5,1,6,2,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[7,2,6,5,3,1,4]=>[2,7,6,3,5,1,4]=>[4,1,5,3,6,7,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[7,2,6,5,3,4,1]=>[2,7,6,3,5,4,1]=>[1,4,5,3,6,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,2,6,5,4,1,3]=>[2,7,6,1,5,4,3]=>[3,4,5,1,6,7,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[7,2,6,5,4,3,1]=>[7,6,5,2,4,3,1]=>[1,3,4,2,5,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,3,1,2,4,5,6]=>[1,3,2,4,7,5,6]=>[6,5,7,4,2,3,1]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[7,3,1,2,4,6,5]=>[7,1,3,2,6,4,5]=>[5,4,6,2,3,1,7]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[7,3,1,2,5,4,6]=>[1,7,3,5,2,4,6]=>[6,4,2,5,3,7,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,3,1,2,5,6,4]=>[7,1,3,2,5,6,4]=>[4,6,5,2,3,1,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,3,1,2,6,4,5]=>[1,7,3,2,6,4,5]=>[5,4,6,2,3,7,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[7,3,1,2,6,5,4]=>[7,6,1,3,5,2,4]=>[4,2,5,3,1,6,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,3,1,4,2,5,6]=>[3,4,1,7,2,5,6]=>[6,5,2,7,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[7,3,1,4,2,6,5]=>[7,3,4,6,1,2,5]=>[5,2,1,6,4,3,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[7,3,1,4,5,2,6]=>[3,1,7,4,5,2,6]=>[6,2,5,4,7,1,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,3,1,4,5,6,2]=>[3,4,1,7,5,6,2]=>[2,6,5,7,1,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[7,3,1,4,6,2,5]=>[3,1,7,4,2,6,5]=>[5,6,2,4,7,1,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[7,3,1,4,6,5,2]=>[7,3,6,1,4,5,2]=>[2,5,4,1,6,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[7,3,1,5,2,4,6]=>[3,1,5,7,2,4,6]=>[6,4,2,7,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,3,1,5,2,6,4]=>[5,3,7,6,1,2,4]=>[4,2,1,6,7,3,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,3,1,5,4,2,6]=>[3,7,5,4,1,2,6]=>[6,2,1,4,5,7,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[7,3,1,5,4,6,2]=>[3,7,5,4,1,6,2]=>[2,6,1,4,5,7,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[7,3,1,5,6,2,4]=>[3,1,7,2,5,6,4]=>[4,6,5,2,7,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,3,1,5,6,4,2]=>[7,3,5,1,6,4,2]=>[2,4,6,1,5,3,7]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,3,1,6,2,4,5]=>[3,1,2,7,6,4,5]=>[5,4,6,7,2,1,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[7,3,1,6,2,5,4]=>[7,3,1,6,5,2,4]=>[4,2,5,6,1,3,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,3,1,6,4,2,5]=>[3,7,4,6,1,2,5]=>[5,2,1,6,4,7,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[7,3,1,6,4,5,2]=>[3,7,6,1,4,5,2]=>[2,5,4,1,6,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[7,3,1,6,5,2,4]=>[3,7,1,6,5,2,4]=>[4,2,5,6,1,7,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,3,1,6,5,4,2]=>[7,6,3,5,4,1,2]=>[2,1,4,5,3,6,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[7,3,2,1,4,5,6]=>[3,2,1,7,4,5,6]=>[6,5,4,7,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[7,3,2,1,4,6,5]=>[7,3,2,6,1,4,5]=>[5,4,1,6,2,3,7]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[7,3,2,1,5,4,6]=>[3,7,5,2,1,4,6]=>[6,4,1,2,5,7,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[7,3,2,1,5,6,4]=>[7,3,2,5,1,6,4]=>[4,6,1,5,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,3,2,1,6,4,5]=>[3,7,2,6,1,4,5]=>[5,4,1,6,2,7,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[7,3,2,1,6,5,4]=>[7,6,3,5,2,1,4]=>[4,1,2,5,3,6,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,3,2,4,1,5,6]=>[3,2,4,7,1,5,6]=>[6,5,1,7,4,2,3]=>[[[.,[[.,[.,.]],.]],.],[.,.]]
[7,3,2,4,1,6,5]=>[7,3,2,6,4,1,5]=>[5,1,4,6,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[7,3,2,4,5,1,6]=>[3,2,4,7,5,1,6]=>[6,1,5,7,4,2,3]=>[[.,[[[.,[.,.]],.],.]],[.,.]]
[7,3,2,4,5,6,1]=>[3,2,4,7,5,6,1]=>[1,6,5,7,4,2,3]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[7,3,2,4,6,1,5]=>[3,2,4,7,1,6,5]=>[5,6,1,7,4,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[7,3,2,4,6,5,1]=>[7,3,2,6,4,5,1]=>[1,5,4,6,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,3,2,5,1,4,6]=>[3,2,1,7,5,4,6]=>[6,4,5,7,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[7,3,2,5,1,6,4]=>[7,3,2,5,6,1,4]=>[4,1,6,5,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,3,2,5,4,1,6]=>[3,7,5,2,4,1,6]=>[6,1,4,2,5,7,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[7,3,2,5,4,6,1]=>[3,7,5,2,4,6,1]=>[1,6,4,2,5,7,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,3,2,5,6,1,4]=>[3,2,1,7,5,6,4]=>[4,6,5,7,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,3,2,5,6,4,1]=>[7,3,2,5,6,4,1]=>[1,4,6,5,2,3,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,2,6,1,4,5]=>[3,2,1,7,4,6,5]=>[5,6,4,7,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[7,3,2,6,1,5,4]=>[7,3,2,6,1,5,4]=>[4,5,1,6,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,3,2,6,4,1,5]=>[3,7,2,6,4,1,5]=>[5,1,4,6,2,7,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[7,3,2,6,4,5,1]=>[3,7,2,6,4,5,1]=>[1,5,4,6,2,7,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,3,2,6,5,1,4]=>[3,7,2,6,1,5,4]=>[4,5,1,6,2,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,3,2,6,5,4,1]=>[7,6,3,5,2,4,1]=>[1,4,2,5,3,6,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,3,4,1,2,5,6]=>[1,3,4,2,7,5,6]=>[6,5,7,2,4,3,1]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[7,3,4,1,2,6,5]=>[7,1,3,4,6,2,5]=>[5,2,6,4,3,1,7]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[7,3,4,1,5,2,6]=>[3,4,5,7,1,2,6]=>[6,2,1,7,5,4,3]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,3,4,1,5,6,2]=>[3,4,7,1,5,6,2]=>[2,6,5,1,7,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[7,3,4,1,6,2,5]=>[3,4,1,7,6,2,5]=>[5,2,6,7,1,4,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[7,3,4,1,6,5,2]=>[7,3,4,6,5,1,2]=>[2,1,5,6,4,3,7]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[7,3,4,2,1,5,6]=>[3,4,2,7,1,5,6]=>[6,5,1,7,2,4,3]=>[[[.,[.,[[.,.],.]]],.],[.,.]]
[7,3,4,2,1,6,5]=>[7,3,4,6,2,1,5]=>[5,1,2,6,4,3,7]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[7,3,4,2,5,1,6]=>[3,4,2,7,5,1,6]=>[6,1,5,7,2,4,3]=>[[.,[[.,[[.,.],.]],.]],[.,.]]
[7,3,4,2,5,6,1]=>[3,4,2,7,5,6,1]=>[1,6,5,7,2,4,3]=>[.,[[[.,[[.,.],.]],.],[.,.]]]
[7,3,4,2,6,1,5]=>[3,4,2,7,1,6,5]=>[5,6,1,7,2,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[7,3,4,2,6,5,1]=>[7,3,4,6,2,5,1]=>[1,5,2,6,4,3,7]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,3,4,5,1,2,6]=>[1,3,4,5,7,2,6]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],[.,.]]
[7,3,4,5,1,6,2]=>[3,4,5,7,6,1,2]=>[2,1,6,7,5,4,3]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[7,3,4,5,2,1,6]=>[3,4,5,7,2,1,6]=>[6,1,2,7,5,4,3]=>[[.,[.,[[[.,.],.],.]]],[.,.]]
[7,3,4,5,2,6,1]=>[3,4,5,7,2,6,1]=>[1,6,2,7,5,4,3]=>[.,[[.,[[[.,.],.],.]],[.,.]]]
[7,3,4,5,6,1,2]=>[1,3,4,5,7,6,2]=>[2,6,7,5,4,3,1]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[7,3,4,5,6,2,1]=>[3,4,5,7,6,2,1]=>[1,2,6,7,5,4,3]=>[.,[.,[[[[.,.],.],.],[.,.]]]]
[7,3,4,6,1,2,5]=>[1,3,4,2,7,6,5]=>[5,6,7,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[7,3,4,6,1,5,2]=>[3,4,7,1,6,5,2]=>[2,5,6,1,7,4,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[7,3,4,6,2,1,5]=>[3,4,2,7,6,1,5]=>[5,1,6,7,2,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[7,3,4,6,2,5,1]=>[3,4,2,7,6,5,1]=>[1,5,6,7,2,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,3,4,6,5,1,2]=>[1,7,3,4,6,5,2]=>[2,5,6,4,3,7,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[7,3,4,6,5,2,1]=>[7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,3,5,1,2,4,6]=>[1,3,2,5,7,4,6]=>[6,4,7,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,3,5,1,2,6,4]=>[5,1,3,7,6,2,4]=>[4,2,6,7,3,1,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,3,5,1,4,2,6]=>[3,1,7,5,4,2,6]=>[6,2,4,5,7,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[7,3,5,1,4,6,2]=>[3,5,1,7,4,6,2]=>[2,6,4,7,1,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[7,3,5,1,6,2,4]=>[3,1,5,7,6,2,4]=>[4,2,6,7,5,1,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,3,5,1,6,4,2]=>[5,3,7,6,4,1,2]=>[2,1,4,6,7,3,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,3,5,2,1,4,6]=>[3,2,5,7,1,4,6]=>[6,4,1,7,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[7,3,5,2,1,6,4]=>[5,3,7,6,2,1,4]=>[4,1,2,6,7,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,3,5,2,4,1,6]=>[3,2,5,7,4,1,6]=>[6,1,4,7,5,2,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[7,3,5,2,4,6,1]=>[3,2,5,7,4,6,1]=>[1,6,4,7,5,2,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,3,5,2,6,1,4]=>[3,2,5,7,1,6,4]=>[4,6,1,7,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,3,5,2,6,4,1]=>[5,3,7,6,2,4,1]=>[1,4,2,6,7,3,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,5,4,1,2,6]=>[1,3,7,5,4,2,6]=>[6,2,4,5,7,3,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[7,3,5,4,1,6,2]=>[3,7,5,4,6,1,2]=>[2,1,6,4,5,7,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[7,3,5,4,2,1,6]=>[3,7,5,4,2,1,6]=>[6,1,2,4,5,7,3]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[7,3,5,4,2,6,1]=>[3,7,5,4,2,6,1]=>[1,6,2,4,5,7,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,3,5,4,6,1,2]=>[1,3,7,5,4,6,2]=>[2,6,4,5,7,3,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[7,3,5,4,6,2,1]=>[3,7,5,4,6,2,1]=>[1,2,6,4,5,7,3]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,3,5,6,1,2,4]=>[1,3,2,5,7,6,4]=>[4,6,7,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,3,5,6,1,4,2]=>[3,5,1,7,6,4,2]=>[2,4,6,7,1,5,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,3,5,6,2,1,4]=>[3,2,5,7,6,1,4]=>[4,1,6,7,5,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,3,5,6,2,4,1]=>[3,2,5,7,6,4,1]=>[1,4,6,7,5,2,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,5,6,4,1,2]=>[1,5,3,7,6,4,2]=>[2,4,6,7,3,5,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,3,5,6,4,2,1]=>[5,3,7,6,4,2,1]=>[1,2,4,6,7,3,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[7,3,6,1,2,4,5]=>[1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[7,3,6,1,2,5,4]=>[7,1,3,2,6,5,4]=>[4,5,6,2,3,1,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,3,6,1,4,2,5]=>[3,1,7,4,6,2,5]=>[5,2,6,4,7,1,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[7,3,6,1,4,5,2]=>[3,4,1,7,6,5,2]=>[2,5,6,7,1,4,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[7,3,6,1,5,2,4]=>[3,1,7,2,6,5,4]=>[4,5,6,2,7,1,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,3,6,1,5,4,2]=>[7,3,6,1,5,4,2]=>[2,4,5,1,6,3,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[7,3,6,2,1,4,5]=>[3,2,1,7,6,4,5]=>[5,4,6,7,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[7,3,6,2,1,5,4]=>[7,3,2,6,5,1,4]=>[4,1,5,6,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,3,6,2,4,1,5]=>[3,2,4,7,6,1,5]=>[5,1,6,7,4,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[7,3,6,2,4,5,1]=>[3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,3,6,2,5,1,4]=>[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,3,6,2,5,4,1]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,3,6,4,1,2,5]=>[1,3,7,4,6,2,5]=>[5,2,6,4,7,3,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[7,3,6,4,1,5,2]=>[3,7,4,6,5,1,2]=>[2,1,5,6,4,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[7,3,6,4,2,1,5]=>[3,7,4,6,2,1,5]=>[5,1,2,6,4,7,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[7,3,6,4,2,5,1]=>[3,7,4,6,2,5,1]=>[1,5,2,6,4,7,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,3,6,4,5,1,2]=>[1,3,7,4,6,5,2]=>[2,5,6,4,7,3,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[7,3,6,4,5,2,1]=>[3,7,4,6,5,2,1]=>[1,2,5,6,4,7,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,3,6,5,1,2,4]=>[1,3,7,2,6,5,4]=>[4,5,6,2,7,3,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,3,6,5,1,4,2]=>[3,7,6,1,5,4,2]=>[2,4,5,1,6,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[7,3,6,5,2,1,4]=>[3,7,2,6,5,1,4]=>[4,1,5,6,2,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,3,6,5,2,4,1]=>[3,7,2,6,5,4,1]=>[1,4,5,6,2,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,3,6,5,4,1,2]=>[1,7,6,3,5,4,2]=>[2,4,5,3,6,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[7,3,6,5,4,2,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,2,3,5,6]=>[1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[7,4,1,2,3,6,5]=>[7,1,2,4,6,3,5]=>[5,3,6,4,2,1,7]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,4,1,2,5,3,6]=>[4,1,5,7,2,3,6]=>[6,3,2,7,5,1,4]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,4,1,2,5,6,3]=>[4,1,7,2,5,6,3]=>[3,6,5,2,7,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[7,4,1,2,6,3,5]=>[4,1,2,7,6,3,5]=>[5,3,6,7,2,1,4]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,4,1,2,6,5,3]=>[7,4,1,6,5,2,3]=>[3,2,5,6,1,4,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,4,1,3,2,5,6]=>[1,4,7,3,2,5,6]=>[6,5,2,3,7,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[7,4,1,3,2,6,5]=>[7,1,6,4,3,2,5]=>[5,2,3,4,6,1,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[7,4,1,3,5,2,6]=>[4,1,3,7,5,2,6]=>[6,2,5,7,3,1,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[7,4,1,3,5,6,2]=>[4,1,3,7,5,6,2]=>[2,6,5,7,3,1,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[7,4,1,3,6,2,5]=>[4,1,3,7,2,6,5]=>[5,6,2,7,3,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[7,4,1,3,6,5,2]=>[7,4,1,6,3,5,2]=>[2,5,3,6,1,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[7,4,1,5,2,3,6]=>[1,4,5,7,2,3,6]=>[6,3,2,7,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,4,1,5,2,6,3]=>[4,5,7,6,1,2,3]=>[3,2,1,6,7,5,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[7,4,1,5,3,2,6]=>[4,5,7,3,1,2,6]=>[6,2,1,3,7,5,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[7,4,1,5,3,6,2]=>[4,5,7,3,1,6,2]=>[2,6,1,3,7,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[7,4,1,5,6,2,3]=>[1,4,7,2,5,6,3]=>[3,6,5,2,7,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[7,4,1,5,6,3,2]=>[4,7,5,1,6,3,2]=>[2,3,6,1,5,7,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[7,4,1,6,2,3,5]=>[1,4,2,7,6,3,5]=>[5,3,6,7,2,4,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,4,1,6,2,5,3]=>[4,7,1,6,5,2,3]=>[3,2,5,6,1,7,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,4,1,6,3,2,5]=>[4,3,7,6,1,2,5]=>[5,2,1,6,7,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[7,4,1,6,3,5,2]=>[4,7,1,6,3,5,2]=>[2,5,3,6,1,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[7,4,1,6,5,2,3]=>[1,7,4,6,5,2,3]=>[3,2,5,6,4,7,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,4,1,6,5,3,2]=>[7,4,6,5,3,1,2]=>[2,1,3,5,6,4,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[7,4,2,1,3,5,6]=>[2,4,1,7,3,5,6]=>[6,5,3,7,1,4,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[7,4,2,1,3,6,5]=>[7,2,4,6,1,3,5]=>[5,3,1,6,4,2,7]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[7,4,2,1,5,3,6]=>[4,5,7,2,1,3,6]=>[6,3,1,2,7,5,4]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[7,4,2,1,5,6,3]=>[4,7,2,5,1,6,3]=>[3,6,1,5,2,7,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,4,2,1,6,3,5]=>[4,2,7,6,1,3,5]=>[5,3,1,6,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[7,4,2,1,6,5,3]=>[7,4,6,5,2,1,3]=>[3,1,2,5,6,4,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,4,2,3,1,5,6]=>[2,4,3,7,1,5,6]=>[6,5,1,7,3,4,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[7,4,2,3,1,6,5]=>[7,2,4,6,3,1,5]=>[5,1,3,6,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,4,2,3,5,1,6]=>[2,4,3,7,5,1,6]=>[6,1,5,7,3,4,2]=>[[.,[[[.,.],[.,.]],.]],[.,.]]
[7,4,2,3,5,6,1]=>[2,4,3,7,5,6,1]=>[1,6,5,7,3,4,2]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,4,2,3,6,1,5]=>[2,4,3,7,1,6,5]=>[5,6,1,7,3,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,4,2,3,6,5,1]=>[7,2,4,6,3,5,1]=>[1,5,3,6,4,2,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,4,2,5,1,3,6]=>[2,4,1,7,5,3,6]=>[6,3,5,7,1,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[7,4,2,5,1,6,3]=>[4,7,2,5,6,1,3]=>[3,1,6,5,2,7,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,4,2,5,3,1,6]=>[4,5,7,2,3,1,6]=>[6,1,3,2,7,5,4]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[7,4,2,5,3,6,1]=>[4,5,7,2,3,6,1]=>[1,6,3,2,7,5,4]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,4,2,5,6,1,3]=>[2,4,1,7,5,6,3]=>[3,6,5,7,1,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,4,2,5,6,3,1]=>[4,7,2,5,6,3,1]=>[1,3,6,5,2,7,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[7,4,2,6,1,3,5]=>[2,4,1,7,3,6,5]=>[5,6,3,7,1,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[7,4,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[3,5,1,6,2,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,4,2,6,3,1,5]=>[4,2,7,6,3,1,5]=>[5,1,3,6,7,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,4,2,6,3,5,1]=>[4,2,7,6,3,5,1]=>[1,5,3,6,7,2,4]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,4,2,6,5,1,3]=>[2,7,4,6,1,5,3]=>[3,5,1,6,4,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,4,2,6,5,3,1]=>[7,4,6,5,2,3,1]=>[1,3,2,5,6,4,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,4,3,1,2,5,6]=>[1,4,3,7,2,5,6]=>[6,5,2,7,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[7,4,3,1,2,6,5]=>[7,1,4,6,3,2,5]=>[5,2,3,6,4,1,7]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[7,4,3,1,5,2,6]=>[4,3,7,5,1,2,6]=>[6,2,1,5,7,3,4]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[7,4,3,1,5,6,2]=>[4,3,7,5,1,6,2]=>[2,6,1,5,7,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[7,4,3,1,6,2,5]=>[4,3,7,1,6,2,5]=>[5,2,6,1,7,3,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[7,4,3,1,6,5,2]=>[7,4,6,3,5,1,2]=>[2,1,5,3,6,4,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[7,4,3,2,1,5,6]=>[4,3,7,2,1,5,6]=>[6,5,1,2,7,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[7,4,3,2,1,6,5]=>[7,4,6,3,2,1,5]=>[5,1,2,3,6,4,7]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[7,4,3,2,5,1,6]=>[4,3,7,2,5,1,6]=>[6,1,5,2,7,3,4]=>[[.,[[.,[.,[.,.]]],.]],[.,.]]
[7,4,3,2,5,6,1]=>[4,3,7,2,5,6,1]=>[1,6,5,2,7,3,4]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[7,4,3,2,6,1,5]=>[4,3,7,2,1,6,5]=>[5,6,1,2,7,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[7,4,3,2,6,5,1]=>[7,4,6,3,2,5,1]=>[1,5,2,3,6,4,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,4,3,5,1,2,6]=>[1,4,3,7,5,2,6]=>[6,2,5,7,3,4,1]=>[[[.,.],[[.,[.,.]],.]],[.,.]]
[7,4,3,5,1,6,2]=>[4,3,7,5,6,1,2]=>[2,1,6,5,7,3,4]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[7,4,3,5,2,1,6]=>[4,3,7,5,2,1,6]=>[6,1,2,5,7,3,4]=>[[.,[.,[[.,[.,.]],.]]],[.,.]]
[7,4,3,5,2,6,1]=>[4,3,7,5,2,6,1]=>[1,6,2,5,7,3,4]=>[.,[[.,[[.,[.,.]],.]],[.,.]]]
[7,4,3,5,6,1,2]=>[1,4,3,7,5,6,2]=>[2,6,5,7,3,4,1]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[7,4,3,5,6,2,1]=>[4,3,7,5,6,2,1]=>[1,2,6,5,7,3,4]=>[.,[.,[[[.,[.,.]],.],[.,.]]]]
[7,4,3,6,1,2,5]=>[1,4,3,7,2,6,5]=>[5,6,2,7,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[7,4,3,6,1,5,2]=>[4,3,7,6,1,5,2]=>[2,5,1,6,7,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[7,4,3,6,2,1,5]=>[4,3,7,2,6,1,5]=>[5,1,6,2,7,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[7,4,3,6,2,5,1]=>[4,3,7,2,6,5,1]=>[1,5,6,2,7,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,4,3,6,5,1,2]=>[1,7,4,6,3,5,2]=>[2,5,3,6,4,7,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[7,4,3,6,5,2,1]=>[7,4,6,3,5,2,1]=>[1,2,5,3,6,4,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,5,1,2,3,6]=>[1,2,4,5,7,3,6]=>[6,3,7,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[7,4,5,1,2,6,3]=>[4,1,5,7,6,2,3]=>[3,2,6,7,5,1,4]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[7,4,5,1,3,2,6]=>[4,1,5,7,3,2,6]=>[6,2,3,7,5,1,4]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[7,4,5,1,3,6,2]=>[4,1,5,7,3,6,2]=>[2,6,3,7,5,1,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[7,4,5,1,6,2,3]=>[1,4,5,7,6,2,3]=>[3,2,6,7,5,4,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[7,4,5,1,6,3,2]=>[4,5,7,6,3,1,2]=>[2,1,3,6,7,5,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[7,4,5,2,1,3,6]=>[2,4,5,7,1,3,6]=>[6,3,1,7,5,4,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[7,4,5,2,1,6,3]=>[4,5,7,6,2,1,3]=>[3,1,2,6,7,5,4]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,4,5,2,3,1,6]=>[2,4,5,7,3,1,6]=>[6,1,3,7,5,4,2]=>[[.,[[.,.],[[.,.],.]]],[.,.]]
[7,4,5,2,3,6,1]=>[2,4,5,7,3,6,1]=>[1,6,3,7,5,4,2]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,4,5,2,6,1,3]=>[2,4,5,7,1,6,3]=>[3,6,1,7,5,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,4,5,2,6,3,1]=>[4,5,7,6,2,3,1]=>[1,3,2,6,7,5,4]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[7,4,5,3,1,2,6]=>[1,4,5,7,3,2,6]=>[6,2,3,7,5,4,1]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[7,4,5,3,1,6,2]=>[4,5,7,3,6,1,2]=>[2,1,6,3,7,5,4]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[7,4,5,3,2,1,6]=>[4,5,7,3,2,1,6]=>[6,1,2,3,7,5,4]=>[[.,[.,[.,[[.,.],.]]]],[.,.]]
[7,4,5,3,2,6,1]=>[4,5,7,3,2,6,1]=>[1,6,2,3,7,5,4]=>[.,[[.,[.,[[.,.],.]]],[.,.]]]
[7,4,5,3,6,1,2]=>[1,4,5,7,3,6,2]=>[2,6,3,7,5,4,1]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[7,4,5,3,6,2,1]=>[4,5,7,3,6,2,1]=>[1,2,6,3,7,5,4]=>[.,[.,[[.,[[.,.],.]],[.,.]]]]
[7,4,5,6,1,2,3]=>[1,2,4,5,7,6,3]=>[3,6,7,5,4,2,1]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[7,4,5,6,1,3,2]=>[4,1,5,7,6,3,2]=>[2,3,6,7,5,1,4]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[7,4,5,6,2,1,3]=>[2,4,5,7,6,1,3]=>[3,1,6,7,5,4,2]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[7,4,5,6,2,3,1]=>[2,4,5,7,6,3,1]=>[1,3,6,7,5,4,2]=>[.,[[.,.],[[[.,.],.],[.,.]]]]
[7,4,5,6,3,1,2]=>[1,4,5,7,6,3,2]=>[2,3,6,7,5,4,1]=>[[.,.],[.,[[[.,.],.],[.,.]]]]
[7,4,5,6,3,2,1]=>[4,5,7,6,3,2,1]=>[1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]
[7,4,6,1,2,3,5]=>[1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,4,6,1,2,5,3]=>[4,1,7,2,6,5,3]=>[3,5,6,2,7,1,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,4,6,1,3,2,5]=>[4,1,3,7,6,2,5]=>[5,2,6,7,3,1,4]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[7,4,6,1,3,5,2]=>[4,1,3,7,6,5,2]=>[2,5,6,7,3,1,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[7,4,6,1,5,2,3]=>[1,4,7,2,6,5,3]=>[3,5,6,2,7,4,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,4,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[7,4,6,2,1,3,5]=>[2,4,1,7,6,3,5]=>[5,3,6,7,1,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[7,4,6,2,1,5,3]=>[4,7,2,6,5,1,3]=>[3,1,5,6,2,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,4,6,2,3,1,5]=>[2,4,3,7,6,1,5]=>[5,1,6,7,3,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,4,6,2,3,5,1]=>[2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,4,6,2,5,1,3]=>[2,4,1,7,6,5,3]=>[3,5,6,7,1,4,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,4,6,2,5,3,1]=>[4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,4,6,3,1,2,5]=>[1,4,3,7,6,2,5]=>[5,2,6,7,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[7,4,6,3,1,5,2]=>[4,3,7,6,5,1,2]=>[2,1,5,6,7,3,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[7,4,6,3,2,1,5]=>[4,3,7,6,2,1,5]=>[5,1,2,6,7,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[7,4,6,3,2,5,1]=>[4,3,7,6,2,5,1]=>[1,5,2,6,7,3,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,4,6,3,5,1,2]=>[1,4,3,7,6,5,2]=>[2,5,6,7,3,4,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[7,4,6,3,5,2,1]=>[4,3,7,6,5,2,1]=>[1,2,5,6,7,3,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,6,5,1,2,3]=>[1,2,7,4,6,5,3]=>[3,5,6,4,7,2,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,4,6,5,1,3,2]=>[7,1,4,6,5,3,2]=>[2,3,5,6,4,1,7]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[7,4,6,5,2,1,3]=>[2,7,4,6,5,1,3]=>[3,1,5,6,4,7,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,4,6,5,2,3,1]=>[2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,4,6,5,3,1,2]=>[1,7,4,6,5,3,2]=>[2,3,5,6,4,7,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[7,4,6,5,3,2,1]=>[7,4,6,5,3,2,1]=>[1,2,3,5,6,4,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,5,1,2,3,4,6]=>[1,2,3,5,7,4,6]=>[6,4,7,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[7,5,1,2,3,6,4]=>[5,1,2,7,6,3,4]=>[4,3,6,7,2,1,5]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[7,5,1,2,4,3,6]=>[1,7,2,5,4,3,6]=>[6,3,4,5,2,7,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[7,5,1,2,4,6,3]=>[5,1,2,7,4,6,3]=>[3,6,4,7,2,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[7,5,1,2,6,3,4]=>[1,5,2,7,6,3,4]=>[4,3,6,7,2,5,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[7,5,1,2,6,4,3]=>[5,7,1,6,4,2,3]=>[3,2,4,6,1,7,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[7,5,1,3,2,4,6]=>[1,3,7,5,2,4,6]=>[6,4,2,5,7,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,5,1,3,2,6,4]=>[7,1,5,6,3,2,4]=>[4,2,3,6,5,1,7]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,5,1,3,4,2,6]=>[3,1,5,7,4,2,6]=>[6,2,4,7,5,1,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[7,5,1,3,4,6,2]=>[3,1,5,7,4,6,2]=>[2,6,4,7,5,1,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[7,5,1,3,6,2,4]=>[1,5,3,7,2,6,4]=>[4,6,2,7,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,5,1,3,6,4,2]=>[5,7,1,6,3,4,2]=>[2,4,3,6,1,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,5,1,4,2,3,6]=>[1,2,7,5,4,3,6]=>[6,3,4,5,7,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[7,5,1,4,2,6,3]=>[7,1,5,4,6,2,3]=>[3,2,6,4,5,1,7]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[7,5,1,4,3,2,6]=>[5,7,1,4,3,2,6]=>[6,2,3,4,1,7,5]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[7,5,1,4,3,6,2]=>[7,1,5,4,3,6,2]=>[2,6,3,4,5,1,7]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[7,5,1,4,6,2,3]=>[1,5,2,7,4,6,3]=>[3,6,4,7,2,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[7,5,1,4,6,3,2]=>[5,7,1,4,6,3,2]=>[2,3,6,4,1,7,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[7,5,1,6,2,3,4]=>[1,2,5,7,6,3,4]=>[4,3,6,7,5,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[7,5,1,6,2,4,3]=>[5,1,7,6,4,2,3]=>[3,2,4,6,7,1,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[7,5,1,6,3,2,4]=>[3,5,7,6,1,2,4]=>[4,2,1,6,7,5,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,5,1,6,3,4,2]=>[5,1,7,6,3,4,2]=>[2,4,3,6,7,1,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,5,1,6,4,2,3]=>[1,5,7,6,4,2,3]=>[3,2,4,6,7,5,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[7,5,1,6,4,3,2]=>[5,7,6,4,3,1,2]=>[2,1,3,4,6,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[7,5,2,1,3,4,6]=>[2,1,5,7,3,4,6]=>[6,4,3,7,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[7,5,2,1,3,6,4]=>[5,2,7,6,1,3,4]=>[4,3,1,6,7,2,5]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[7,5,2,1,4,3,6]=>[2,7,5,4,1,3,6]=>[6,3,1,4,5,7,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[7,5,2,1,4,6,3]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[7,5,2,1,6,3,4]=>[2,5,7,6,1,3,4]=>[4,3,1,6,7,5,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[7,5,2,1,6,4,3]=>[5,7,6,4,2,1,3]=>[3,1,2,4,6,7,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[7,5,2,3,1,4,6]=>[2,3,5,7,1,4,6]=>[6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]
[7,5,2,3,1,6,4]=>[5,2,7,6,3,1,4]=>[4,1,3,6,7,2,5]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,5,2,3,4,1,6]=>[2,3,5,7,4,1,6]=>[6,1,4,7,5,3,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[7,5,2,3,4,6,1]=>[2,3,5,7,4,6,1]=>[1,6,4,7,5,3,2]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[7,5,2,3,6,1,4]=>[2,3,5,7,1,6,4]=>[4,6,1,7,5,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,5,2,3,6,4,1]=>[5,2,7,6,3,4,1]=>[1,4,3,6,7,2,5]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,5,2,4,1,3,6]=>[2,1,5,7,4,3,6]=>[6,3,4,7,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[7,5,2,4,1,6,3]=>[5,2,7,4,6,1,3]=>[3,1,6,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[7,5,2,4,3,1,6]=>[2,7,5,4,3,1,6]=>[6,1,3,4,5,7,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[7,5,2,4,3,6,1]=>[2,7,5,4,3,6,1]=>[1,6,3,4,5,7,2]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,5,2,4,6,1,3]=>[2,1,5,7,4,6,3]=>[3,6,4,7,5,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[7,5,2,4,6,3,1]=>[5,2,7,4,6,3,1]=>[1,3,6,4,7,2,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,5,2,6,1,3,4]=>[2,1,5,7,3,6,4]=>[4,6,3,7,5,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[7,5,2,6,1,4,3]=>[5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[7,5,2,6,3,1,4]=>[2,5,7,6,3,1,4]=>[4,1,3,6,7,5,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,5,2,6,3,4,1]=>[2,5,7,6,3,4,1]=>[1,4,3,6,7,5,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,5,2,6,4,1,3]=>[2,5,7,6,1,4,3]=>[3,4,1,6,7,5,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[7,5,2,6,4,3,1]=>[5,7,6,4,2,3,1]=>[1,3,2,4,6,7,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,5,3,1,2,4,6]=>[1,3,5,7,2,4,6]=>[6,4,2,7,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[7,5,3,1,2,6,4]=>[5,1,7,6,3,2,4]=>[4,2,3,6,7,1,5]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,5,3,1,4,2,6]=>[3,5,7,4,1,2,6]=>[6,2,1,4,7,5,3]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[7,5,3,1,4,6,2]=>[3,5,7,4,1,6,2]=>[2,6,1,4,7,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[7,5,3,1,6,2,4]=>[3,5,7,1,6,2,4]=>[4,2,6,1,7,5,3]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,5,3,1,6,4,2]=>[5,7,6,3,4,1,2]=>[2,1,4,3,6,7,5]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,5,3,2,1,4,6]=>[3,5,7,2,1,4,6]=>[6,4,1,2,7,5,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[7,5,3,2,1,6,4]=>[5,7,6,3,2,1,4]=>[4,1,2,3,6,7,5]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,5,3,2,4,1,6]=>[3,5,7,2,4,1,6]=>[6,1,4,2,7,5,3]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[7,5,3,2,4,6,1]=>[3,5,7,2,4,6,1]=>[1,6,4,2,7,5,3]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,5,3,2,6,1,4]=>[3,5,7,2,1,6,4]=>[4,6,1,2,7,5,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,5,3,2,6,4,1]=>[5,7,6,3,2,4,1]=>[1,4,2,3,6,7,5]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,3,4,1,2,6]=>[1,3,5,7,4,2,6]=>[6,2,4,7,5,3,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[7,5,3,4,1,6,2]=>[3,5,7,4,6,1,2]=>[2,1,6,4,7,5,3]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[7,5,3,4,2,1,6]=>[3,5,7,4,2,1,6]=>[6,1,2,4,7,5,3]=>[[.,[.,[[.,.],[.,.]]]],[.,.]]
[7,5,3,4,2,6,1]=>[3,5,7,4,2,6,1]=>[1,6,2,4,7,5,3]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,5,3,4,6,1,2]=>[1,3,5,7,4,6,2]=>[2,6,4,7,5,3,1]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[7,5,3,4,6,2,1]=>[3,5,7,4,6,2,1]=>[1,2,6,4,7,5,3]=>[.,[.,[[[.,.],[.,.]],[.,.]]]]
[7,5,3,6,1,2,4]=>[1,3,5,7,2,6,4]=>[4,6,2,7,5,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,5,3,6,1,4,2]=>[3,5,7,6,1,4,2]=>[2,4,1,6,7,5,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,5,3,6,2,1,4]=>[3,5,7,2,6,1,4]=>[4,1,6,2,7,5,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,5,3,6,2,4,1]=>[3,5,7,2,6,4,1]=>[1,4,6,2,7,5,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,3,6,4,1,2]=>[1,5,7,6,3,4,2]=>[2,4,3,6,7,5,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,5,3,6,4,2,1]=>[5,7,6,3,4,2,1]=>[1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[7,5,4,1,2,3,6]=>[1,2,5,7,4,3,6]=>[6,3,4,7,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[7,5,4,1,2,6,3]=>[5,1,7,4,6,2,3]=>[3,2,6,4,7,1,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[7,5,4,1,3,2,6]=>[1,7,5,4,3,2,6]=>[6,2,3,4,5,7,1]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[7,5,4,1,3,6,2]=>[5,1,7,4,3,6,2]=>[2,6,3,4,7,1,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[7,5,4,1,6,2,3]=>[1,5,7,4,6,2,3]=>[3,2,6,4,7,5,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[7,5,4,1,6,3,2]=>[5,7,4,6,3,1,2]=>[2,1,3,6,4,7,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[7,5,4,2,1,3,6]=>[2,5,7,4,1,3,6]=>[6,3,1,4,7,5,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[7,5,4,2,1,6,3]=>[5,7,4,6,2,1,3]=>[3,1,2,6,4,7,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[7,5,4,2,3,1,6]=>[2,5,7,4,3,1,6]=>[6,1,3,4,7,5,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[7,5,4,2,3,6,1]=>[2,5,7,4,3,6,1]=>[1,6,3,4,7,5,2]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,5,4,2,6,1,3]=>[2,5,7,4,1,6,3]=>[3,6,1,4,7,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[7,5,4,2,6,3,1]=>[5,7,4,6,2,3,1]=>[1,3,2,6,4,7,5]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,5,4,3,1,2,6]=>[1,5,7,4,3,2,6]=>[6,2,3,4,7,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[7,5,4,3,1,6,2]=>[5,7,4,3,6,1,2]=>[2,1,6,3,4,7,5]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[7,5,4,3,2,1,6]=>[5,7,4,3,2,1,6]=>[6,1,2,3,4,7,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[7,5,4,3,2,6,1]=>[5,7,4,3,2,6,1]=>[1,6,2,3,4,7,5]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,5,4,3,6,1,2]=>[1,5,7,4,3,6,2]=>[2,6,3,4,7,5,1]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[7,5,4,3,6,2,1]=>[5,7,4,3,6,2,1]=>[1,2,6,3,4,7,5]=>[.,[.,[[.,[.,[.,.]]],[.,.]]]]
[7,5,4,6,1,2,3]=>[1,2,5,7,4,6,3]=>[3,6,4,7,5,2,1]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[7,5,4,6,1,3,2]=>[5,1,7,4,6,3,2]=>[2,3,6,4,7,1,5]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[7,5,4,6,2,1,3]=>[2,5,7,4,6,1,3]=>[3,1,6,4,7,5,2]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[7,5,4,6,2,3,1]=>[2,5,7,4,6,3,1]=>[1,3,6,4,7,5,2]=>[.,[[.,.],[[.,[.,.]],[.,.]]]]
[7,5,4,6,3,1,2]=>[1,5,7,4,6,3,2]=>[2,3,6,4,7,5,1]=>[[.,.],[.,[[.,[.,.]],[.,.]]]]
[7,5,4,6,3,2,1]=>[5,7,4,6,3,2,1]=>[1,2,3,6,4,7,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]
[7,5,6,1,2,3,4]=>[1,2,3,5,7,6,4]=>[4,6,7,5,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[7,5,6,1,2,4,3]=>[5,1,2,7,6,4,3]=>[3,4,6,7,2,1,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[7,5,6,1,3,2,4]=>[1,5,3,7,6,2,4]=>[4,2,6,7,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,5,6,1,3,4,2]=>[3,1,5,7,6,4,2]=>[2,4,6,7,5,1,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,5,6,1,4,2,3]=>[1,5,2,7,6,4,3]=>[3,4,6,7,2,5,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[7,5,6,1,4,3,2]=>[5,7,1,6,4,3,2]=>[2,3,4,6,1,7,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[7,5,6,2,1,3,4]=>[2,1,5,7,6,3,4]=>[4,3,6,7,5,1,2]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[7,5,6,2,1,4,3]=>[5,2,7,6,4,1,3]=>[3,1,4,6,7,2,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[7,5,6,2,3,1,4]=>[2,3,5,7,6,1,4]=>[4,1,6,7,5,3,2]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[7,5,6,2,3,4,1]=>[2,3,5,7,6,4,1]=>[1,4,6,7,5,3,2]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,5,6,2,4,1,3]=>[2,1,5,7,6,4,3]=>[3,4,6,7,5,1,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[7,5,6,2,4,3,1]=>[5,2,7,6,4,3,1]=>[1,3,4,6,7,2,5]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,5,6,3,1,2,4]=>[1,3,5,7,6,2,4]=>[4,2,6,7,5,3,1]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[7,5,6,3,1,4,2]=>[3,5,7,6,4,1,2]=>[2,1,4,6,7,5,3]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,5,6,3,2,1,4]=>[3,5,7,6,2,1,4]=>[4,1,2,6,7,5,3]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[7,5,6,3,2,4,1]=>[3,5,7,6,2,4,1]=>[1,4,2,6,7,5,3]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,5,6,3,4,1,2]=>[1,3,5,7,6,4,2]=>[2,4,6,7,5,3,1]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[7,5,6,3,4,2,1]=>[3,5,7,6,4,2,1]=>[1,2,4,6,7,5,3]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]
[7,5,6,4,1,2,3]=>[1,2,5,7,6,4,3]=>[3,4,6,7,5,2,1]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[7,5,6,4,1,3,2]=>[5,1,7,6,4,3,2]=>[2,3,4,6,7,1,5]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[7,5,6,4,2,1,3]=>[2,5,7,6,4,1,3]=>[3,1,4,6,7,5,2]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[7,5,6,4,2,3,1]=>[2,5,7,6,4,3,1]=>[1,3,4,6,7,5,2]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,5,6,4,3,1,2]=>[1,5,7,6,4,3,2]=>[2,3,4,6,7,5,1]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[7,5,6,4,3,2,1]=>[5,7,6,4,3,2,1]=>[1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]
[7,6,1,2,3,4,5]=>[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[7,6,1,2,3,5,4]=>[7,1,2,3,6,5,4]=>[4,5,6,3,2,1,7]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[7,6,1,2,4,3,5]=>[1,7,2,4,6,3,5]=>[5,3,6,4,2,7,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,6,1,2,4,5,3]=>[4,1,2,7,6,5,3]=>[3,5,6,7,2,1,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,6,1,2,5,3,4]=>[1,7,2,3,6,5,4]=>[4,5,6,3,2,7,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[7,6,1,2,5,4,3]=>[7,6,1,2,5,4,3]=>[3,4,5,2,1,6,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[7,6,1,3,2,4,5]=>[1,3,7,2,6,4,5]=>[5,4,6,2,7,3,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[7,6,1,3,2,5,4]=>[7,1,6,3,5,2,4]=>[4,2,5,3,6,1,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,6,1,3,4,2,5]=>[3,1,4,7,6,2,5]=>[5,2,6,7,4,1,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[7,6,1,3,4,5,2]=>[3,1,4,7,6,5,2]=>[2,5,6,7,4,1,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[7,6,1,3,5,2,4]=>[3,1,2,7,6,5,4]=>[4,5,6,7,2,1,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,6,1,3,5,4,2]=>[7,3,1,6,5,4,2]=>[2,4,5,6,1,3,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[7,6,1,4,2,3,5]=>[1,2,7,4,6,3,5]=>[5,3,6,4,7,2,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,6,1,4,2,5,3]=>[7,1,4,6,5,2,3]=>[3,2,5,6,4,1,7]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,6,1,4,3,2,5]=>[1,7,6,4,3,2,5]=>[5,2,3,4,6,7,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[7,6,1,4,3,5,2]=>[7,1,4,6,3,5,2]=>[2,5,3,6,4,1,7]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[7,6,1,4,5,2,3]=>[1,4,2,7,6,5,3]=>[3,5,6,7,2,4,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,6,1,4,5,3,2]=>[4,7,1,6,5,3,2]=>[2,3,5,6,1,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[7,6,1,5,2,3,4]=>[1,2,7,3,6,5,4]=>[4,5,6,3,7,2,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[7,6,1,5,2,4,3]=>[7,1,6,2,5,4,3]=>[3,4,5,2,6,1,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[7,6,1,5,3,2,4]=>[1,7,6,3,5,2,4]=>[4,2,5,3,6,7,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,6,1,5,3,4,2]=>[7,1,3,6,5,4,2]=>[2,4,5,6,3,1,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[7,6,1,5,4,2,3]=>[1,7,6,2,5,4,3]=>[3,4,5,2,6,7,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[7,6,1,5,4,3,2]=>[7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[7,6,2,1,3,4,5]=>[2,1,3,7,6,4,5]=>[5,4,6,7,3,1,2]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[7,6,2,1,3,5,4]=>[7,2,1,6,5,3,4]=>[4,3,5,6,1,2,7]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[7,6,2,1,4,3,5]=>[2,7,4,6,1,3,5]=>[5,3,1,6,4,7,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[7,6,2,1,4,5,3]=>[7,2,1,6,4,5,3]=>[3,5,4,6,1,2,7]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,6,2,1,5,3,4]=>[2,7,1,6,5,3,4]=>[4,3,5,6,1,7,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[7,6,2,1,5,4,3]=>[7,6,2,5,4,1,3]=>[3,1,4,5,2,6,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[7,6,2,3,1,4,5]=>[2,3,1,7,6,4,5]=>[5,4,6,7,1,3,2]=>[[[.,[[.,.],.]],.],[.,[.,.]]]
[7,6,2,3,1,5,4]=>[7,2,3,6,5,1,4]=>[4,1,5,6,3,2,7]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[7,6,2,3,4,1,5]=>[2,3,4,7,6,1,5]=>[5,1,6,7,4,3,2]=>[[.,[[[.,.],.],.]],[.,[.,.]]]
[7,6,2,3,4,5,1]=>[2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[7,6,2,3,5,1,4]=>[2,3,1,7,6,5,4]=>[4,5,6,7,1,3,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[7,6,2,3,5,4,1]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,6,2,4,1,3,5]=>[2,1,4,7,6,3,5]=>[5,3,6,7,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[7,6,2,4,1,5,3]=>[4,2,7,6,5,1,3]=>[3,1,5,6,7,2,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,6,2,4,3,1,5]=>[2,7,4,6,3,1,5]=>[5,1,3,6,4,7,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,6,2,4,3,5,1]=>[2,7,4,6,3,5,1]=>[1,5,3,6,4,7,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,6,2,4,5,1,3]=>[2,1,4,7,6,5,3]=>[3,5,6,7,4,1,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,6,2,4,5,3,1]=>[4,2,7,6,5,3,1]=>[1,3,5,6,7,2,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,6,2,5,1,3,4]=>[2,1,3,7,6,5,4]=>[4,5,6,7,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[7,6,2,5,1,4,3]=>[7,2,1,6,5,4,3]=>[3,4,5,6,1,2,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[7,6,2,5,3,1,4]=>[2,7,3,6,5,1,4]=>[4,1,5,6,3,7,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[7,6,2,5,3,4,1]=>[2,7,3,6,5,4,1]=>[1,4,5,6,3,7,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,6,2,5,4,1,3]=>[2,7,1,6,5,4,3]=>[3,4,5,6,1,7,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[7,6,2,5,4,3,1]=>[7,6,2,5,4,3,1]=>[1,3,4,5,2,6,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,3,1,2,4,5]=>[1,3,2,7,6,4,5]=>[5,4,6,7,2,3,1]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[7,6,3,1,2,5,4]=>[7,1,3,6,5,2,4]=>[4,2,5,6,3,1,7]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,6,3,1,4,2,5]=>[3,4,7,6,1,2,5]=>[5,2,1,6,7,4,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[7,6,3,1,4,5,2]=>[3,7,1,6,4,5,2]=>[2,5,4,6,1,7,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[7,6,3,1,5,2,4]=>[3,1,7,6,5,2,4]=>[4,2,5,6,7,1,3]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,6,3,1,5,4,2]=>[7,3,6,5,4,1,2]=>[2,1,4,5,6,3,7]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[7,6,3,2,1,4,5]=>[3,2,7,6,1,4,5]=>[5,4,1,6,7,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[7,6,3,2,1,5,4]=>[7,3,6,5,2,1,4]=>[4,1,2,5,6,3,7]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,6,3,2,4,1,5]=>[3,2,7,6,4,1,5]=>[5,1,4,6,7,2,3]=>[[.,[[.,[.,.]],.]],[.,[.,.]]]
[7,6,3,2,4,5,1]=>[3,2,7,6,4,5,1]=>[1,5,4,6,7,2,3]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,6,3,2,5,1,4]=>[3,2,7,6,1,5,4]=>[4,5,1,6,7,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,6,3,2,5,4,1]=>[7,3,6,5,2,4,1]=>[1,4,2,5,6,3,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,3,4,1,2,5]=>[1,3,4,7,6,2,5]=>[5,2,6,7,4,3,1]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[7,6,3,4,1,5,2]=>[3,4,7,6,5,1,2]=>[2,1,5,6,7,4,3]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[7,6,3,4,2,1,5]=>[3,4,7,6,2,1,5]=>[5,1,2,6,7,4,3]=>[[.,[.,[[.,.],.]]],[.,[.,.]]]
[7,6,3,4,2,5,1]=>[3,4,7,6,2,5,1]=>[1,5,2,6,7,4,3]=>[.,[[.,[[.,.],.]],[.,[.,.]]]]
[7,6,3,4,5,1,2]=>[1,3,4,7,6,5,2]=>[2,5,6,7,4,3,1]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[7,6,3,4,5,2,1]=>[3,4,7,6,5,2,1]=>[1,2,5,6,7,4,3]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,6,3,5,1,2,4]=>[1,3,2,7,6,5,4]=>[4,5,6,7,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,6,3,5,1,4,2]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[7,6,3,5,2,1,4]=>[3,2,7,6,5,1,4]=>[4,1,5,6,7,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,6,3,5,2,4,1]=>[3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,3,5,4,1,2]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[7,6,3,5,4,2,1]=>[7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,4,1,2,3,5]=>[1,2,4,7,6,3,5]=>[5,3,6,7,4,2,1]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[7,6,4,1,2,5,3]=>[4,1,7,6,5,2,3]=>[3,2,5,6,7,1,4]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,6,4,1,3,2,5]=>[1,7,4,6,3,2,5]=>[5,2,3,6,4,7,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[7,6,4,1,3,5,2]=>[4,1,7,6,3,5,2]=>[2,5,3,6,7,1,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[7,6,4,1,5,2,3]=>[1,4,7,6,5,2,3]=>[3,2,5,6,7,4,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,6,4,1,5,3,2]=>[4,7,6,5,3,1,2]=>[2,1,3,5,6,7,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[7,6,4,2,1,3,5]=>[2,4,7,6,1,3,5]=>[5,3,1,6,7,4,2]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[7,6,4,2,1,5,3]=>[4,7,6,5,2,1,3]=>[3,1,2,5,6,7,4]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,6,4,2,3,1,5]=>[2,4,7,6,3,1,5]=>[5,1,3,6,7,4,2]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[7,6,4,2,3,5,1]=>[2,4,7,6,3,5,1]=>[1,5,3,6,7,4,2]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,6,4,2,5,1,3]=>[2,4,7,6,1,5,3]=>[3,5,1,6,7,4,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,6,4,2,5,3,1]=>[4,7,6,5,2,3,1]=>[1,3,2,5,6,7,4]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,6,4,3,1,2,5]=>[1,4,7,6,3,2,5]=>[5,2,3,6,7,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[7,6,4,3,1,5,2]=>[4,7,6,3,5,1,2]=>[2,1,5,3,6,7,4]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[7,6,4,3,2,1,5]=>[4,7,6,3,2,1,5]=>[5,1,2,3,6,7,4]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[7,6,4,3,2,5,1]=>[4,7,6,3,2,5,1]=>[1,5,2,3,6,7,4]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,6,4,3,5,1,2]=>[1,4,7,6,3,5,2]=>[2,5,3,6,7,4,1]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[7,6,4,3,5,2,1]=>[4,7,6,3,5,2,1]=>[1,2,5,3,6,7,4]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,4,5,1,2,3]=>[1,2,4,7,6,5,3]=>[3,5,6,7,4,2,1]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[7,6,4,5,1,3,2]=>[4,1,7,6,5,3,2]=>[2,3,5,6,7,1,4]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[7,6,4,5,2,1,3]=>[2,4,7,6,5,1,3]=>[3,1,5,6,7,4,2]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[7,6,4,5,2,3,1]=>[2,4,7,6,5,3,1]=>[1,3,5,6,7,4,2]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,6,4,5,3,1,2]=>[1,4,7,6,5,3,2]=>[2,3,5,6,7,4,1]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[7,6,4,5,3,2,1]=>[4,7,6,5,3,2,1]=>[1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]
[7,6,5,1,2,3,4]=>[1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[7,6,5,1,2,4,3]=>[7,1,2,6,5,4,3]=>[3,4,5,6,2,1,7]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[7,6,5,1,3,2,4]=>[1,7,3,6,5,2,4]=>[4,2,5,6,3,7,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,6,5,1,3,4,2]=>[3,1,7,6,5,4,2]=>[2,4,5,6,7,1,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[7,6,5,1,4,2,3]=>[1,7,2,6,5,4,3]=>[3,4,5,6,2,7,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[7,6,5,1,4,3,2]=>[7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[7,6,5,2,1,3,4]=>[2,1,7,6,5,3,4]=>[4,3,5,6,7,1,2]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[7,6,5,2,1,4,3]=>[7,2,6,5,4,1,3]=>[3,1,4,5,6,2,7]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[7,6,5,2,3,1,4]=>[2,3,7,6,5,1,4]=>[4,1,5,6,7,3,2]=>[[.,[[.,.],.]],[.,[.,[.,.]]]]
[7,6,5,2,3,4,1]=>[2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,6,5,2,4,1,3]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[7,6,5,2,4,3,1]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,5,3,1,2,4]=>[1,3,7,6,5,2,4]=>[4,2,5,6,7,3,1]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[7,6,5,3,1,4,2]=>[3,7,6,5,4,1,2]=>[2,1,4,5,6,7,3]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[7,6,5,3,2,1,4]=>[3,7,6,5,2,1,4]=>[4,1,2,5,6,7,3]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[7,6,5,3,2,4,1]=>[3,7,6,5,2,4,1]=>[1,4,2,5,6,7,3]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,6,5,3,4,1,2]=>[1,3,7,6,5,4,2]=>[2,4,5,6,7,3,1]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[7,6,5,3,4,2,1]=>[3,7,6,5,4,2,1]=>[1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,5,4,1,2,3]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[7,6,5,4,1,3,2]=>[7,1,6,5,4,3,2]=>[2,3,4,5,6,1,7]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[7,6,5,4,2,1,3]=>[2,7,6,5,4,1,3]=>[3,1,4,5,6,7,2]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[7,6,5,4,2,3,1]=>[2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,5,4,3,1,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[2,3,7,8,1,4,5,6]=>[2,3,1,4,5,7,8,6]=>[6,8,7,5,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],[[.,.],.]]
[2,8,1,3,4,5,6,7]=>[2,1,3,4,5,6,8,7]=>[7,8,6,5,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]
[3,4,5,6,7,1,8,2]=>[3,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]
[3,1,8,2,4,5,6,7]=>[3,1,2,4,5,8,6,7]=>[7,6,8,5,4,2,1,3]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]
[5,1,6,2,7,3,8,4]=>[5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[1,5,2,7,3,4,6,8]=>[1,5,2,7,3,4,6,8]=>[8,6,4,3,7,2,5,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[8,4,7,2,6,5,3,1]=>[8,4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,2,5,3,7,1,8,6]=>[7,4,5,2,3,8,1,6]=>[6,1,8,3,2,5,4,7]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]
[4,2,6,1,7,3,8,5]=>[6,4,7,2,8,1,3,5]=>[5,3,1,8,2,7,4,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[8,7,6,3,5,1,4,2]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
Map
Foata bijection
Description
Sends a permutation to its image under the Foata bijection.
The Foata bijection $\phi$ is a bijection on the set of words with no two equal letters. It can be defined by induction on the size of the word:
Given a word $w_1 w_2 ... w_n$, compute the image inductively by starting with $\phi(w_1) = w_1$.
At the $i$-th step, if $\phi(w_1 w_2 ... w_i) = v_1 v_2 ... v_i$, define $\phi(w_1 w_2 ... w_i w_{i+1})$ by placing $w_{i+1}$ on the end of the word $v_1 v_2 ... v_i$ and breaking the word up into blocks as follows.
To compute $\phi([1,4,2,5,3])$, the sequence of words is
This bijection sends the major index (St000004The major index of a permutation.) to the number of inversions (St000018The number of inversions of a permutation.).
The Foata bijection $\phi$ is a bijection on the set of words with no two equal letters. It can be defined by induction on the size of the word:
Given a word $w_1 w_2 ... w_n$, compute the image inductively by starting with $\phi(w_1) = w_1$.
At the $i$-th step, if $\phi(w_1 w_2 ... w_i) = v_1 v_2 ... v_i$, define $\phi(w_1 w_2 ... w_i w_{i+1})$ by placing $w_{i+1}$ on the end of the word $v_1 v_2 ... v_i$ and breaking the word up into blocks as follows.
- If $w_{i+1} \geq v_i$, place a vertical line to the right of each $v_k$ for which $w_{i+1} \geq v_k$.
- If $w_{i+1} < v_i$, place a vertical line to the right of each $v_k$ for which $w_{i+1} < v_k$.
To compute $\phi([1,4,2,5,3])$, the sequence of words is
- $1$
- $|1|4 \to 14$
- $|14|2 \to 412$
- $|4|1|2|5 \to 4125$
- $|4|125|3 \to 45123.$
This bijection sends the major index (St000004The major index of a permutation.) to the number of inversions (St000018The number of inversions of a permutation.).
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
binary search tree: left to right
Description
Return the shape of the binary search tree of the permutation as a non labelled binary tree.
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