Identifier
Mp00055:
Parking functions
—to labelling permutation⟶
Permutations
Mp00068: Permutations —Simion-Schmidt map⟶ Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Mp00068: Permutations —Simion-Schmidt map⟶ Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Images
=>
Cc0010;cc-rep-3
[1]=>[1]=>[1]=>[.,.]
[1,1]=>[1,2]=>[1,2]=>[.,[.,.]]
[1,2]=>[1,2]=>[1,2]=>[.,[.,.]]
[2,1]=>[2,1]=>[2,1]=>[[.,.],.]
[1,1,1]=>[1,2,3]=>[1,3,2]=>[.,[[.,.],.]]
[1,1,2]=>[1,2,3]=>[1,3,2]=>[.,[[.,.],.]]
[1,2,1]=>[1,3,2]=>[1,3,2]=>[.,[[.,.],.]]
[2,1,1]=>[2,3,1]=>[2,3,1]=>[[.,.],[.,.]]
[1,1,3]=>[1,2,3]=>[1,3,2]=>[.,[[.,.],.]]
[1,3,1]=>[1,3,2]=>[1,3,2]=>[.,[[.,.],.]]
[3,1,1]=>[2,3,1]=>[2,3,1]=>[[.,.],[.,.]]
[1,2,2]=>[1,2,3]=>[1,3,2]=>[.,[[.,.],.]]
[2,1,2]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[2,2,1]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[1,2,3]=>[1,2,3]=>[1,3,2]=>[.,[[.,.],.]]
[1,3,2]=>[1,3,2]=>[1,3,2]=>[.,[[.,.],.]]
[2,1,3]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[2,3,1]=>[3,1,2]=>[3,1,2]=>[[.,[.,.]],.]
[3,1,2]=>[2,3,1]=>[2,3,1]=>[[.,.],[.,.]]
[3,2,1]=>[3,2,1]=>[3,2,1]=>[[[.,.],.],.]
[1,1,1,1]=>[1,2,3,4]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,1,1,2]=>[1,2,3,4]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,1,2,1]=>[1,2,4,3]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,2,1,1]=>[1,3,4,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[2,1,1,1]=>[2,3,4,1]=>[2,4,3,1]=>[[.,.],[[.,.],.]]
[1,1,1,3]=>[1,2,3,4]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,1,3,1]=>[1,2,4,3]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,3,1,1]=>[1,3,4,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[3,1,1,1]=>[2,3,4,1]=>[2,4,3,1]=>[[.,.],[[.,.],.]]
[1,1,1,4]=>[1,2,3,4]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,1,4,1]=>[1,2,4,3]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,4,1,1]=>[1,3,4,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[4,1,1,1]=>[2,3,4,1]=>[2,4,3,1]=>[[.,.],[[.,.],.]]
[1,1,2,2]=>[1,2,3,4]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,2,1,2]=>[1,3,2,4]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,2,2,1]=>[1,4,2,3]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[2,1,1,2]=>[2,3,1,4]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[2,1,2,1]=>[2,4,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[2,2,1,1]=>[3,4,1,2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[1,1,2,3]=>[1,2,3,4]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,1,3,2]=>[1,2,4,3]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,2,1,3]=>[1,3,2,4]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,2,3,1]=>[1,4,2,3]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,3,1,2]=>[1,3,4,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,3,2,1]=>[1,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[2,1,1,3]=>[2,3,1,4]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[2,1,3,1]=>[2,4,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[2,3,1,1]=>[3,4,1,2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[3,1,1,2]=>[2,3,4,1]=>[2,4,3,1]=>[[.,.],[[.,.],.]]
[3,1,2,1]=>[2,4,3,1]=>[2,4,3,1]=>[[.,.],[[.,.],.]]
[3,2,1,1]=>[3,4,2,1]=>[3,4,2,1]=>[[[.,.],.],[.,.]]
[1,1,2,4]=>[1,2,3,4]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,1,4,2]=>[1,2,4,3]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,2,1,4]=>[1,3,2,4]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,2,4,1]=>[1,4,2,3]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,4,1,2]=>[1,3,4,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,4,2,1]=>[1,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[2,1,1,4]=>[2,3,1,4]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[2,1,4,1]=>[2,4,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[2,4,1,1]=>[3,4,1,2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[4,1,1,2]=>[2,3,4,1]=>[2,4,3,1]=>[[.,.],[[.,.],.]]
[4,1,2,1]=>[2,4,3,1]=>[2,4,3,1]=>[[.,.],[[.,.],.]]
[4,2,1,1]=>[3,4,2,1]=>[3,4,2,1]=>[[[.,.],.],[.,.]]
[1,1,3,3]=>[1,2,3,4]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,3,1,3]=>[1,3,2,4]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,3,3,1]=>[1,4,2,3]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[3,1,1,3]=>[2,3,1,4]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[3,1,3,1]=>[2,4,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[3,3,1,1]=>[3,4,1,2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[1,1,3,4]=>[1,2,3,4]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,1,4,3]=>[1,2,4,3]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,3,1,4]=>[1,3,2,4]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,3,4,1]=>[1,4,2,3]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,4,1,3]=>[1,3,4,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,4,3,1]=>[1,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[3,1,1,4]=>[2,3,1,4]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[3,1,4,1]=>[2,4,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[3,4,1,1]=>[3,4,1,2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[4,1,1,3]=>[2,3,4,1]=>[2,4,3,1]=>[[.,.],[[.,.],.]]
[4,1,3,1]=>[2,4,3,1]=>[2,4,3,1]=>[[.,.],[[.,.],.]]
[4,3,1,1]=>[3,4,2,1]=>[3,4,2,1]=>[[[.,.],.],[.,.]]
[1,2,2,2]=>[1,2,3,4]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[2,1,2,2]=>[2,1,3,4]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[2,2,1,2]=>[3,1,2,4]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[2,2,2,1]=>[4,1,2,3]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[1,2,2,3]=>[1,2,3,4]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,2,3,2]=>[1,2,4,3]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,3,2,2]=>[1,3,4,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[2,1,2,3]=>[2,1,3,4]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[2,1,3,2]=>[2,1,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[2,2,1,3]=>[3,1,2,4]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[2,2,3,1]=>[4,1,2,3]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[2,3,1,2]=>[3,1,4,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[2,3,2,1]=>[4,1,3,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[3,1,2,2]=>[2,3,4,1]=>[2,4,3,1]=>[[.,.],[[.,.],.]]
[3,2,1,2]=>[3,2,4,1]=>[3,2,4,1]=>[[[.,.],.],[.,.]]
[3,2,2,1]=>[4,2,3,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[1,2,2,4]=>[1,2,3,4]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,2,4,2]=>[1,2,4,3]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,4,2,2]=>[1,3,4,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[2,1,2,4]=>[2,1,3,4]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[2,1,4,2]=>[2,1,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[2,2,1,4]=>[3,1,2,4]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[2,2,4,1]=>[4,1,2,3]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[2,4,1,2]=>[3,1,4,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[2,4,2,1]=>[4,1,3,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[4,1,2,2]=>[2,3,4,1]=>[2,4,3,1]=>[[.,.],[[.,.],.]]
[4,2,1,2]=>[3,2,4,1]=>[3,2,4,1]=>[[[.,.],.],[.,.]]
[4,2,2,1]=>[4,2,3,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[1,2,3,3]=>[1,2,3,4]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,3,2,3]=>[1,3,2,4]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,3,3,2]=>[1,4,2,3]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[2,1,3,3]=>[2,1,3,4]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[2,3,1,3]=>[3,1,2,4]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[2,3,3,1]=>[4,1,2,3]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[3,1,2,3]=>[2,3,1,4]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[3,1,3,2]=>[2,4,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[3,2,1,3]=>[3,2,1,4]=>[3,2,1,4]=>[[[.,.],.],[.,.]]
[3,2,3,1]=>[4,2,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[3,3,1,2]=>[3,4,1,2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[3,3,2,1]=>[4,3,1,2]=>[4,3,1,2]=>[[[.,[.,.]],.],.]
[1,2,3,4]=>[1,2,3,4]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,2,4,3]=>[1,2,4,3]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,3,2,4]=>[1,3,2,4]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,3,4,2]=>[1,4,2,3]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,4,2,3]=>[1,3,4,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[1,4,3,2]=>[1,4,3,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[2,1,3,4]=>[2,1,3,4]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[2,1,4,3]=>[2,1,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[2,3,1,4]=>[3,1,2,4]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[2,3,4,1]=>[4,1,2,3]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[2,4,1,3]=>[3,1,4,2]=>[3,1,4,2]=>[[.,[.,.]],[.,.]]
[2,4,3,1]=>[4,1,3,2]=>[4,1,3,2]=>[[.,[[.,.],.]],.]
[3,1,2,4]=>[2,3,1,4]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[3,1,4,2]=>[2,4,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>[[[.,.],.],[.,.]]
[3,2,4,1]=>[4,2,1,3]=>[4,2,1,3]=>[[[.,.],[.,.]],.]
[3,4,1,2]=>[3,4,1,2]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[3,4,2,1]=>[4,3,1,2]=>[4,3,1,2]=>[[[.,[.,.]],.],.]
[4,1,2,3]=>[2,3,4,1]=>[2,4,3,1]=>[[.,.],[[.,.],.]]
[4,1,3,2]=>[2,4,3,1]=>[2,4,3,1]=>[[.,.],[[.,.],.]]
[4,2,1,3]=>[3,2,4,1]=>[3,2,4,1]=>[[[.,.],.],[.,.]]
[4,2,3,1]=>[4,2,3,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[4,3,1,2]=>[3,4,2,1]=>[3,4,2,1]=>[[[.,.],.],[.,.]]
[4,3,2,1]=>[4,3,2,1]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[1,1,1,1,1]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,1,1,2]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,1,2,1]=>[1,2,3,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,2,1,1]=>[1,2,4,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,1,1,1]=>[1,3,4,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,1,1,1,1]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[1,1,1,1,3]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,1,3,1]=>[1,2,3,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,3,1,1]=>[1,2,4,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,1,1,1]=>[1,3,4,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[3,1,1,1,1]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[1,1,1,1,4]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,1,4,1]=>[1,2,3,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,4,1,1]=>[1,2,4,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,1,1,1]=>[1,3,4,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[4,1,1,1,1]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[1,1,1,1,5]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,1,5,1]=>[1,2,3,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,5,1,1]=>[1,2,4,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,1,1,1]=>[1,3,4,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[5,1,1,1,1]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[1,1,1,2,2]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,2,1,2]=>[1,2,4,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,2,2,1]=>[1,2,5,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,1,1,2]=>[1,3,4,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,1,2,1]=>[1,3,5,2,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,2,1,1]=>[1,4,5,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,1,1,1,2]=>[2,3,4,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,1,1,2,1]=>[2,3,5,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,1,2,1,1]=>[2,4,5,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,2,1,1,1]=>[3,4,5,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[1,1,1,2,3]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,1,3,2]=>[1,2,3,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,2,1,3]=>[1,2,4,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,2,3,1]=>[1,2,5,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,3,1,2]=>[1,2,4,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,3,2,1]=>[1,2,5,4,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,1,1,3]=>[1,3,4,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,1,3,1]=>[1,3,5,2,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,3,1,1]=>[1,4,5,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,1,1,2]=>[1,3,4,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,1,2,1]=>[1,3,5,4,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,2,1,1]=>[1,4,5,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,1,1,1,3]=>[2,3,4,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,1,1,3,1]=>[2,3,5,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,1,3,1,1]=>[2,4,5,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,3,1,1,1]=>[3,4,5,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[3,1,1,1,2]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[3,1,1,2,1]=>[2,3,5,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[3,1,2,1,1]=>[2,4,5,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[3,2,1,1,1]=>[3,4,5,2,1]=>[3,5,4,2,1]=>[[[.,.],.],[[.,.],.]]
[1,1,1,2,4]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,1,4,2]=>[1,2,3,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,2,1,4]=>[1,2,4,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,2,4,1]=>[1,2,5,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,4,1,2]=>[1,2,4,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,4,2,1]=>[1,2,5,4,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,1,1,4]=>[1,3,4,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,1,4,1]=>[1,3,5,2,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,4,1,1]=>[1,4,5,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,1,1,2]=>[1,3,4,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,1,2,1]=>[1,3,5,4,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,2,1,1]=>[1,4,5,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,1,1,1,4]=>[2,3,4,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,1,1,4,1]=>[2,3,5,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,1,4,1,1]=>[2,4,5,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,4,1,1,1]=>[3,4,5,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[4,1,1,1,2]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,1,1,2,1]=>[2,3,5,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,1,2,1,1]=>[2,4,5,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,2,1,1,1]=>[3,4,5,2,1]=>[3,5,4,2,1]=>[[[.,.],.],[[.,.],.]]
[1,1,1,2,5]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,1,5,2]=>[1,2,3,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,2,1,5]=>[1,2,4,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,2,5,1]=>[1,2,5,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,5,1,2]=>[1,2,4,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,5,2,1]=>[1,2,5,4,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,1,1,5]=>[1,3,4,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,1,5,1]=>[1,3,5,2,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,5,1,1]=>[1,4,5,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,1,1,2]=>[1,3,4,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,1,2,1]=>[1,3,5,4,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,2,1,1]=>[1,4,5,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,1,1,1,5]=>[2,3,4,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,1,1,5,1]=>[2,3,5,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,1,5,1,1]=>[2,4,5,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,5,1,1,1]=>[3,4,5,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[5,1,1,1,2]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,1,2,1]=>[2,3,5,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,2,1,1]=>[2,4,5,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,2,1,1,1]=>[3,4,5,2,1]=>[3,5,4,2,1]=>[[[.,.],.],[[.,.],.]]
[1,1,1,3,3]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,3,1,3]=>[1,2,4,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,3,3,1]=>[1,2,5,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,1,1,3]=>[1,3,4,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,1,3,1]=>[1,3,5,2,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,3,1,1]=>[1,4,5,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[3,1,1,1,3]=>[2,3,4,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,1,1,3,1]=>[2,3,5,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,1,3,1,1]=>[2,4,5,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,3,1,1,1]=>[3,4,5,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[1,1,1,3,4]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,1,4,3]=>[1,2,3,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,3,1,4]=>[1,2,4,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,3,4,1]=>[1,2,5,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,4,1,3]=>[1,2,4,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,4,3,1]=>[1,2,5,4,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,1,1,4]=>[1,3,4,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,1,4,1]=>[1,3,5,2,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,4,1,1]=>[1,4,5,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,1,1,3]=>[1,3,4,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,1,3,1]=>[1,3,5,4,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,3,1,1]=>[1,4,5,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[3,1,1,1,4]=>[2,3,4,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,1,1,4,1]=>[2,3,5,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,1,4,1,1]=>[2,4,5,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,4,1,1,1]=>[3,4,5,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[4,1,1,1,3]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,1,1,3,1]=>[2,3,5,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,1,3,1,1]=>[2,4,5,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,3,1,1,1]=>[3,4,5,2,1]=>[3,5,4,2,1]=>[[[.,.],.],[[.,.],.]]
[1,1,1,3,5]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,1,5,3]=>[1,2,3,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,3,1,5]=>[1,2,4,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,3,5,1]=>[1,2,5,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,5,1,3]=>[1,2,4,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,5,3,1]=>[1,2,5,4,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,1,1,5]=>[1,3,4,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,1,5,1]=>[1,3,5,2,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,5,1,1]=>[1,4,5,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,1,1,3]=>[1,3,4,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,1,3,1]=>[1,3,5,4,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,3,1,1]=>[1,4,5,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[3,1,1,1,5]=>[2,3,4,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,1,1,5,1]=>[2,3,5,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,1,5,1,1]=>[2,4,5,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,5,1,1,1]=>[3,4,5,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[5,1,1,1,3]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,1,3,1]=>[2,3,5,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,3,1,1]=>[2,4,5,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,3,1,1,1]=>[3,4,5,2,1]=>[3,5,4,2,1]=>[[[.,.],.],[[.,.],.]]
[1,1,1,4,4]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,4,1,4]=>[1,2,4,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,4,4,1]=>[1,2,5,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,1,1,4]=>[1,3,4,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,1,4,1]=>[1,3,5,2,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,4,1,1]=>[1,4,5,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[4,1,1,1,4]=>[2,3,4,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,1,4,1]=>[2,3,5,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,4,1,1]=>[2,4,5,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,4,1,1,1]=>[3,4,5,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[1,1,1,4,5]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,1,5,4]=>[1,2,3,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,4,1,5]=>[1,2,4,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,4,5,1]=>[1,2,5,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,5,1,4]=>[1,2,4,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,5,4,1]=>[1,2,5,4,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,1,1,5]=>[1,3,4,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,1,5,1]=>[1,3,5,2,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,5,1,1]=>[1,4,5,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,1,1,4]=>[1,3,4,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,1,4,1]=>[1,3,5,4,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,4,1,1]=>[1,4,5,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[4,1,1,1,5]=>[2,3,4,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,1,5,1]=>[2,3,5,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,5,1,1]=>[2,4,5,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,5,1,1,1]=>[3,4,5,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[5,1,1,1,4]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,1,4,1]=>[2,3,5,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,4,1,1]=>[2,4,5,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,4,1,1,1]=>[3,4,5,2,1]=>[3,5,4,2,1]=>[[[.,.],.],[[.,.],.]]
[1,1,2,2,2]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,1,2,2]=>[1,3,2,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,2,1,2]=>[1,4,2,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,2,2,1]=>[1,5,2,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,1,1,2,2]=>[2,3,1,4,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,2,1,2]=>[2,4,1,3,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,2,2,1]=>[2,5,1,3,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,2,1,1,2]=>[3,4,1,2,5]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,2,1,2,1]=>[3,5,1,2,4]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,2,2,1,1]=>[4,5,1,2,3]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[1,1,2,2,3]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,2,3,2]=>[1,2,3,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,3,2,2]=>[1,2,4,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,1,2,3]=>[1,3,2,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,1,3,2]=>[1,3,2,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,2,1,3]=>[1,4,2,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,2,3,1]=>[1,5,2,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,3,1,2]=>[1,4,2,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,3,2,1]=>[1,5,2,4,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,1,2,2]=>[1,3,4,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,2,1,2]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,2,2,1]=>[1,5,3,4,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,1,1,2,3]=>[2,3,1,4,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,1,3,2]=>[2,3,1,5,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,2,1,3]=>[2,4,1,3,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,2,3,1]=>[2,5,1,3,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,3,1,2]=>[2,4,1,5,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,3,2,1]=>[2,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,2,1,1,3]=>[3,4,1,2,5]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,2,1,3,1]=>[3,5,1,2,4]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,2,3,1,1]=>[4,5,1,2,3]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,3,1,1,2]=>[3,4,1,5,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,3,1,2,1]=>[3,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,3,2,1,1]=>[4,5,1,3,2]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[3,1,1,2,2]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[3,1,2,1,2]=>[2,4,3,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[3,1,2,2,1]=>[2,5,3,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[3,2,1,1,2]=>[3,4,2,5,1]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]
[3,2,1,2,1]=>[3,5,2,4,1]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]
[3,2,2,1,1]=>[4,5,2,3,1]=>[4,5,2,3,1]=>[[[.,.],[.,.]],[.,.]]
[1,1,2,2,4]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,2,4,2]=>[1,2,3,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,4,2,2]=>[1,2,4,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,1,2,4]=>[1,3,2,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,1,4,2]=>[1,3,2,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,2,1,4]=>[1,4,2,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,2,4,1]=>[1,5,2,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,4,1,2]=>[1,4,2,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,4,2,1]=>[1,5,2,4,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,1,2,2]=>[1,3,4,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,2,1,2]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,2,2,1]=>[1,5,3,4,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,1,1,2,4]=>[2,3,1,4,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,1,4,2]=>[2,3,1,5,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,2,1,4]=>[2,4,1,3,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,2,4,1]=>[2,5,1,3,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,4,1,2]=>[2,4,1,5,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,4,2,1]=>[2,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,2,1,1,4]=>[3,4,1,2,5]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,2,1,4,1]=>[3,5,1,2,4]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,2,4,1,1]=>[4,5,1,2,3]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,4,1,1,2]=>[3,4,1,5,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,4,1,2,1]=>[3,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,4,2,1,1]=>[4,5,1,3,2]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,1,1,2,2]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,1,2,1,2]=>[2,4,3,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,1,2,2,1]=>[2,5,3,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,2,1,1,2]=>[3,4,2,5,1]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]
[4,2,1,2,1]=>[3,5,2,4,1]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]
[4,2,2,1,1]=>[4,5,2,3,1]=>[4,5,2,3,1]=>[[[.,.],[.,.]],[.,.]]
[1,1,2,2,5]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,2,5,2]=>[1,2,3,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,5,2,2]=>[1,2,4,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,1,2,5]=>[1,3,2,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,1,5,2]=>[1,3,2,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,2,1,5]=>[1,4,2,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,2,5,1]=>[1,5,2,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,5,1,2]=>[1,4,2,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,5,2,1]=>[1,5,2,4,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,1,2,2]=>[1,3,4,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,2,1,2]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,2,2,1]=>[1,5,3,4,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,1,1,2,5]=>[2,3,1,4,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,1,5,2]=>[2,3,1,5,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,2,1,5]=>[2,4,1,3,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,2,5,1]=>[2,5,1,3,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,5,1,2]=>[2,4,1,5,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,5,2,1]=>[2,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,2,1,1,5]=>[3,4,1,2,5]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,2,1,5,1]=>[3,5,1,2,4]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,2,5,1,1]=>[4,5,1,2,3]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,5,1,1,2]=>[3,4,1,5,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,5,1,2,1]=>[3,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,5,2,1,1]=>[4,5,1,3,2]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[5,1,1,2,2]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,2,1,2]=>[2,4,3,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,2,2,1]=>[2,5,3,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,2,1,1,2]=>[3,4,2,5,1]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]
[5,2,1,2,1]=>[3,5,2,4,1]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]
[5,2,2,1,1]=>[4,5,2,3,1]=>[4,5,2,3,1]=>[[[.,.],[.,.]],[.,.]]
[1,1,2,3,3]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,3,2,3]=>[1,2,4,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,3,3,2]=>[1,2,5,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,1,3,3]=>[1,3,2,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,3,1,3]=>[1,4,2,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,3,3,1]=>[1,5,2,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,1,2,3]=>[1,3,4,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,1,3,2]=>[1,3,5,2,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,2,1,3]=>[1,4,3,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,2,3,1]=>[1,5,3,2,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,3,1,2]=>[1,4,5,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,3,2,1]=>[1,5,4,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,1,1,3,3]=>[2,3,1,4,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,3,1,3]=>[2,4,1,3,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,3,3,1]=>[2,5,1,3,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,3,1,1,3]=>[3,4,1,2,5]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,3,1,3,1]=>[3,5,1,2,4]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,3,3,1,1]=>[4,5,1,2,3]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[3,1,1,2,3]=>[2,3,4,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,1,1,3,2]=>[2,3,5,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,1,2,1,3]=>[2,4,3,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,1,2,3,1]=>[2,5,3,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,1,3,1,2]=>[2,4,5,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,1,3,2,1]=>[2,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,2,1,1,3]=>[3,4,2,1,5]=>[3,5,2,1,4]=>[[[.,.],.],[[.,.],.]]
[3,2,1,3,1]=>[3,5,2,1,4]=>[3,5,2,1,4]=>[[[.,.],.],[[.,.],.]]
[3,2,3,1,1]=>[4,5,2,1,3]=>[4,5,2,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,3,1,1,2]=>[3,4,5,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[3,3,1,2,1]=>[3,5,4,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[3,3,2,1,1]=>[4,5,3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[1,1,2,3,4]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,2,4,3]=>[1,2,3,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,3,2,4]=>[1,2,4,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,3,4,2]=>[1,2,5,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,4,2,3]=>[1,2,4,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,4,3,2]=>[1,2,5,4,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,1,3,4]=>[1,3,2,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,1,4,3]=>[1,3,2,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,3,1,4]=>[1,4,2,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,3,4,1]=>[1,5,2,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,4,1,3]=>[1,4,2,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,4,3,1]=>[1,5,2,4,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,1,2,4]=>[1,3,4,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,1,4,2]=>[1,3,5,2,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,2,1,4]=>[1,4,3,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,2,4,1]=>[1,5,3,2,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,4,1,2]=>[1,4,5,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,4,2,1]=>[1,5,4,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,1,2,3]=>[1,3,4,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,1,3,2]=>[1,3,5,4,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,2,1,3]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,2,3,1]=>[1,5,3,4,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,3,1,2]=>[1,4,5,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,3,2,1]=>[1,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,1,1,3,4]=>[2,3,1,4,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,1,4,3]=>[2,3,1,5,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,3,1,4]=>[2,4,1,3,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,3,4,1]=>[2,5,1,3,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,4,1,3]=>[2,4,1,5,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,4,3,1]=>[2,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,3,1,1,4]=>[3,4,1,2,5]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,3,1,4,1]=>[3,5,1,2,4]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,3,4,1,1]=>[4,5,1,2,3]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,4,1,1,3]=>[3,4,1,5,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,4,1,3,1]=>[3,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,4,3,1,1]=>[4,5,1,3,2]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[3,1,1,2,4]=>[2,3,4,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,1,1,4,2]=>[2,3,5,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,1,2,1,4]=>[2,4,3,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,1,2,4,1]=>[2,5,3,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,1,4,1,2]=>[2,4,5,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,1,4,2,1]=>[2,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,2,1,1,4]=>[3,4,2,1,5]=>[3,5,2,1,4]=>[[[.,.],.],[[.,.],.]]
[3,2,1,4,1]=>[3,5,2,1,4]=>[3,5,2,1,4]=>[[[.,.],.],[[.,.],.]]
[3,2,4,1,1]=>[4,5,2,1,3]=>[4,5,2,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,4,1,1,2]=>[3,4,5,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[3,4,1,2,1]=>[3,5,4,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[3,4,2,1,1]=>[4,5,3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[4,1,1,2,3]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,1,1,3,2]=>[2,3,5,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,1,2,1,3]=>[2,4,3,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,1,2,3,1]=>[2,5,3,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,1,3,1,2]=>[2,4,5,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,1,3,2,1]=>[2,5,4,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,2,1,1,3]=>[3,4,2,5,1]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]
[4,2,1,3,1]=>[3,5,2,4,1]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]
[4,2,3,1,1]=>[4,5,2,3,1]=>[4,5,2,3,1]=>[[[.,.],[.,.]],[.,.]]
[4,3,1,1,2]=>[3,4,5,2,1]=>[3,5,4,2,1]=>[[[.,.],.],[[.,.],.]]
[4,3,1,2,1]=>[3,5,4,2,1]=>[3,5,4,2,1]=>[[[.,.],.],[[.,.],.]]
[4,3,2,1,1]=>[4,5,3,2,1]=>[4,5,3,2,1]=>[[[[.,.],.],.],[.,.]]
[1,1,2,3,5]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,2,5,3]=>[1,2,3,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,3,2,5]=>[1,2,4,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,3,5,2]=>[1,2,5,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,5,2,3]=>[1,2,4,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,5,3,2]=>[1,2,5,4,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,1,3,5]=>[1,3,2,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,1,5,3]=>[1,3,2,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,3,1,5]=>[1,4,2,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,3,5,1]=>[1,5,2,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,5,1,3]=>[1,4,2,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,5,3,1]=>[1,5,2,4,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,1,2,5]=>[1,3,4,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,1,5,2]=>[1,3,5,2,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,2,1,5]=>[1,4,3,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,2,5,1]=>[1,5,3,2,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,5,1,2]=>[1,4,5,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,5,2,1]=>[1,5,4,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,1,2,3]=>[1,3,4,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,1,3,2]=>[1,3,5,4,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,2,1,3]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,2,3,1]=>[1,5,3,4,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,3,1,2]=>[1,4,5,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,3,2,1]=>[1,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,1,1,3,5]=>[2,3,1,4,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,1,5,3]=>[2,3,1,5,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,3,1,5]=>[2,4,1,3,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,3,5,1]=>[2,5,1,3,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,5,1,3]=>[2,4,1,5,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,5,3,1]=>[2,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,3,1,1,5]=>[3,4,1,2,5]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,3,1,5,1]=>[3,5,1,2,4]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,3,5,1,1]=>[4,5,1,2,3]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,5,1,1,3]=>[3,4,1,5,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,5,1,3,1]=>[3,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,5,3,1,1]=>[4,5,1,3,2]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[3,1,1,2,5]=>[2,3,4,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,1,1,5,2]=>[2,3,5,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,1,2,1,5]=>[2,4,3,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,1,2,5,1]=>[2,5,3,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,1,5,1,2]=>[2,4,5,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,1,5,2,1]=>[2,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,2,1,1,5]=>[3,4,2,1,5]=>[3,5,2,1,4]=>[[[.,.],.],[[.,.],.]]
[3,2,1,5,1]=>[3,5,2,1,4]=>[3,5,2,1,4]=>[[[.,.],.],[[.,.],.]]
[3,2,5,1,1]=>[4,5,2,1,3]=>[4,5,2,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,5,1,1,2]=>[3,4,5,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[3,5,1,2,1]=>[3,5,4,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[3,5,2,1,1]=>[4,5,3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[5,1,1,2,3]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,1,3,2]=>[2,3,5,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,2,1,3]=>[2,4,3,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,2,3,1]=>[2,5,3,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,3,1,2]=>[2,4,5,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,3,2,1]=>[2,5,4,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,2,1,1,3]=>[3,4,2,5,1]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]
[5,2,1,3,1]=>[3,5,2,4,1]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]
[5,2,3,1,1]=>[4,5,2,3,1]=>[4,5,2,3,1]=>[[[.,.],[.,.]],[.,.]]
[5,3,1,1,2]=>[3,4,5,2,1]=>[3,5,4,2,1]=>[[[.,.],.],[[.,.],.]]
[5,3,1,2,1]=>[3,5,4,2,1]=>[3,5,4,2,1]=>[[[.,.],.],[[.,.],.]]
[5,3,2,1,1]=>[4,5,3,2,1]=>[4,5,3,2,1]=>[[[[.,.],.],.],[.,.]]
[1,1,2,4,4]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,4,2,4]=>[1,2,4,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,4,4,2]=>[1,2,5,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,1,4,4]=>[1,3,2,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,4,1,4]=>[1,4,2,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,4,4,1]=>[1,5,2,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,1,2,4]=>[1,3,4,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,1,4,2]=>[1,3,5,2,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,2,1,4]=>[1,4,3,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,2,4,1]=>[1,5,3,2,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,4,1,2]=>[1,4,5,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,4,2,1]=>[1,5,4,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,1,1,4,4]=>[2,3,1,4,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,4,1,4]=>[2,4,1,3,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,4,4,1]=>[2,5,1,3,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,4,1,1,4]=>[3,4,1,2,5]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,4,1,4,1]=>[3,5,1,2,4]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,4,4,1,1]=>[4,5,1,2,3]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,1,1,2,4]=>[2,3,4,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,1,4,2]=>[2,3,5,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,2,1,4]=>[2,4,3,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,2,4,1]=>[2,5,3,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,4,1,2]=>[2,4,5,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,4,2,1]=>[2,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,2,1,1,4]=>[3,4,2,1,5]=>[3,5,2,1,4]=>[[[.,.],.],[[.,.],.]]
[4,2,1,4,1]=>[3,5,2,1,4]=>[3,5,2,1,4]=>[[[.,.],.],[[.,.],.]]
[4,2,4,1,1]=>[4,5,2,1,3]=>[4,5,2,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,4,1,1,2]=>[3,4,5,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[4,4,1,2,1]=>[3,5,4,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[4,4,2,1,1]=>[4,5,3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[1,1,2,4,5]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,2,5,4]=>[1,2,3,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,4,2,5]=>[1,2,4,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,4,5,2]=>[1,2,5,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,5,2,4]=>[1,2,4,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,5,4,2]=>[1,2,5,4,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,1,4,5]=>[1,3,2,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,1,5,4]=>[1,3,2,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,4,1,5]=>[1,4,2,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,4,5,1]=>[1,5,2,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,5,1,4]=>[1,4,2,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,5,4,1]=>[1,5,2,4,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,1,2,5]=>[1,3,4,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,1,5,2]=>[1,3,5,2,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,2,1,5]=>[1,4,3,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,2,5,1]=>[1,5,3,2,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,5,1,2]=>[1,4,5,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,5,2,1]=>[1,5,4,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,1,2,4]=>[1,3,4,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,1,4,2]=>[1,3,5,4,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,2,1,4]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,2,4,1]=>[1,5,3,4,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,4,1,2]=>[1,4,5,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,4,2,1]=>[1,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,1,1,4,5]=>[2,3,1,4,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,1,5,4]=>[2,3,1,5,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,4,1,5]=>[2,4,1,3,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,4,5,1]=>[2,5,1,3,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,5,1,4]=>[2,4,1,5,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,5,4,1]=>[2,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,4,1,1,5]=>[3,4,1,2,5]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,4,1,5,1]=>[3,5,1,2,4]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,4,5,1,1]=>[4,5,1,2,3]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,5,1,1,4]=>[3,4,1,5,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,5,1,4,1]=>[3,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,5,4,1,1]=>[4,5,1,3,2]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,1,1,2,5]=>[2,3,4,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,1,5,2]=>[2,3,5,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,2,1,5]=>[2,4,3,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,2,5,1]=>[2,5,3,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,5,1,2]=>[2,4,5,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,5,2,1]=>[2,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,2,1,1,5]=>[3,4,2,1,5]=>[3,5,2,1,4]=>[[[.,.],.],[[.,.],.]]
[4,2,1,5,1]=>[3,5,2,1,4]=>[3,5,2,1,4]=>[[[.,.],.],[[.,.],.]]
[4,2,5,1,1]=>[4,5,2,1,3]=>[4,5,2,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,5,1,1,2]=>[3,4,5,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[4,5,1,2,1]=>[3,5,4,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[4,5,2,1,1]=>[4,5,3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[5,1,1,2,4]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,1,4,2]=>[2,3,5,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,2,1,4]=>[2,4,3,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,2,4,1]=>[2,5,3,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,4,1,2]=>[2,4,5,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,4,2,1]=>[2,5,4,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,2,1,1,4]=>[3,4,2,5,1]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]
[5,2,1,4,1]=>[3,5,2,4,1]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]
[5,2,4,1,1]=>[4,5,2,3,1]=>[4,5,2,3,1]=>[[[.,.],[.,.]],[.,.]]
[5,4,1,1,2]=>[3,4,5,2,1]=>[3,5,4,2,1]=>[[[.,.],.],[[.,.],.]]
[5,4,1,2,1]=>[3,5,4,2,1]=>[3,5,4,2,1]=>[[[.,.],.],[[.,.],.]]
[5,4,2,1,1]=>[4,5,3,2,1]=>[4,5,3,2,1]=>[[[[.,.],.],.],[.,.]]
[1,1,3,3,3]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,1,3,3]=>[1,3,2,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,3,1,3]=>[1,4,2,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,3,3,1]=>[1,5,2,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[3,1,1,3,3]=>[2,3,1,4,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,3,1,3]=>[2,4,1,3,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,3,3,1]=>[2,5,1,3,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,3,1,1,3]=>[3,4,1,2,5]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,3,1,3,1]=>[3,5,1,2,4]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,3,3,1,1]=>[4,5,1,2,3]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[1,1,3,3,4]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,3,4,3]=>[1,2,3,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,4,3,3]=>[1,2,4,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,1,3,4]=>[1,3,2,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,1,4,3]=>[1,3,2,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,3,1,4]=>[1,4,2,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,3,4,1]=>[1,5,2,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,4,1,3]=>[1,4,2,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,4,3,1]=>[1,5,2,4,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,1,3,3]=>[1,3,4,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,3,1,3]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,3,3,1]=>[1,5,3,4,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[3,1,1,3,4]=>[2,3,1,4,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,1,4,3]=>[2,3,1,5,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,3,1,4]=>[2,4,1,3,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,3,4,1]=>[2,5,1,3,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,4,1,3]=>[2,4,1,5,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,4,3,1]=>[2,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,3,1,1,4]=>[3,4,1,2,5]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,3,1,4,1]=>[3,5,1,2,4]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,3,4,1,1]=>[4,5,1,2,3]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[3,4,1,1,3]=>[3,4,1,5,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,4,1,3,1]=>[3,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,4,3,1,1]=>[4,5,1,3,2]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,1,1,3,3]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,1,3,1,3]=>[2,4,3,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,1,3,3,1]=>[2,5,3,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,3,1,1,3]=>[3,4,2,5,1]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]
[4,3,1,3,1]=>[3,5,2,4,1]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]
[4,3,3,1,1]=>[4,5,2,3,1]=>[4,5,2,3,1]=>[[[.,.],[.,.]],[.,.]]
[1,1,3,3,5]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,3,5,3]=>[1,2,3,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,5,3,3]=>[1,2,4,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,1,3,5]=>[1,3,2,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,1,5,3]=>[1,3,2,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,3,1,5]=>[1,4,2,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,3,5,1]=>[1,5,2,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,5,1,3]=>[1,4,2,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,5,3,1]=>[1,5,2,4,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,1,3,3]=>[1,3,4,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,3,1,3]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,3,3,1]=>[1,5,3,4,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[3,1,1,3,5]=>[2,3,1,4,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,1,5,3]=>[2,3,1,5,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,3,1,5]=>[2,4,1,3,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,3,5,1]=>[2,5,1,3,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,5,1,3]=>[2,4,1,5,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,5,3,1]=>[2,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,3,1,1,5]=>[3,4,1,2,5]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,3,1,5,1]=>[3,5,1,2,4]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,3,5,1,1]=>[4,5,1,2,3]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[3,5,1,1,3]=>[3,4,1,5,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,5,1,3,1]=>[3,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,5,3,1,1]=>[4,5,1,3,2]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[5,1,1,3,3]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,3,1,3]=>[2,4,3,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,3,3,1]=>[2,5,3,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,3,1,1,3]=>[3,4,2,5,1]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]
[5,3,1,3,1]=>[3,5,2,4,1]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]
[5,3,3,1,1]=>[4,5,2,3,1]=>[4,5,2,3,1]=>[[[.,.],[.,.]],[.,.]]
[1,1,3,4,4]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,4,3,4]=>[1,2,4,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,4,4,3]=>[1,2,5,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,1,4,4]=>[1,3,2,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,4,1,4]=>[1,4,2,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,4,4,1]=>[1,5,2,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,1,3,4]=>[1,3,4,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,1,4,3]=>[1,3,5,2,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,3,1,4]=>[1,4,3,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,3,4,1]=>[1,5,3,2,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,4,1,3]=>[1,4,5,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,4,3,1]=>[1,5,4,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[3,1,1,4,4]=>[2,3,1,4,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,4,1,4]=>[2,4,1,3,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,4,4,1]=>[2,5,1,3,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,4,1,1,4]=>[3,4,1,2,5]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,4,1,4,1]=>[3,5,1,2,4]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,4,4,1,1]=>[4,5,1,2,3]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,1,1,3,4]=>[2,3,4,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,1,4,3]=>[2,3,5,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,3,1,4]=>[2,4,3,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,3,4,1]=>[2,5,3,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,4,1,3]=>[2,4,5,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,4,3,1]=>[2,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,3,1,1,4]=>[3,4,2,1,5]=>[3,5,2,1,4]=>[[[.,.],.],[[.,.],.]]
[4,3,1,4,1]=>[3,5,2,1,4]=>[3,5,2,1,4]=>[[[.,.],.],[[.,.],.]]
[4,3,4,1,1]=>[4,5,2,1,3]=>[4,5,2,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,4,1,1,3]=>[3,4,5,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[4,4,1,3,1]=>[3,5,4,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[4,4,3,1,1]=>[4,5,3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[1,1,3,4,5]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,3,5,4]=>[1,2,3,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,4,3,5]=>[1,2,4,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,4,5,3]=>[1,2,5,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,5,3,4]=>[1,2,4,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,1,5,4,3]=>[1,2,5,4,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,1,4,5]=>[1,3,2,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,1,5,4]=>[1,3,2,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,4,1,5]=>[1,4,2,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,4,5,1]=>[1,5,2,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,5,1,4]=>[1,4,2,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,5,4,1]=>[1,5,2,4,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,1,3,5]=>[1,3,4,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,1,5,3]=>[1,3,5,2,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,3,1,5]=>[1,4,3,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,3,5,1]=>[1,5,3,2,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,5,1,3]=>[1,4,5,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,5,3,1]=>[1,5,4,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,1,3,4]=>[1,3,4,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,1,4,3]=>[1,3,5,4,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,3,1,4]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,3,4,1]=>[1,5,3,4,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,4,1,3]=>[1,4,5,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,4,3,1]=>[1,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[3,1,1,4,5]=>[2,3,1,4,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,1,5,4]=>[2,3,1,5,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,4,1,5]=>[2,4,1,3,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,4,5,1]=>[2,5,1,3,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,5,1,4]=>[2,4,1,5,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,5,4,1]=>[2,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,4,1,1,5]=>[3,4,1,2,5]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,4,1,5,1]=>[3,5,1,2,4]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,4,5,1,1]=>[4,5,1,2,3]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[3,5,1,1,4]=>[3,4,1,5,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,5,1,4,1]=>[3,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,5,4,1,1]=>[4,5,1,3,2]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[4,1,1,3,5]=>[2,3,4,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,1,5,3]=>[2,3,5,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,3,1,5]=>[2,4,3,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,3,5,1]=>[2,5,3,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,5,1,3]=>[2,4,5,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,5,3,1]=>[2,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,3,1,1,5]=>[3,4,2,1,5]=>[3,5,2,1,4]=>[[[.,.],.],[[.,.],.]]
[4,3,1,5,1]=>[3,5,2,1,4]=>[3,5,2,1,4]=>[[[.,.],.],[[.,.],.]]
[4,3,5,1,1]=>[4,5,2,1,3]=>[4,5,2,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,5,1,1,3]=>[3,4,5,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[4,5,1,3,1]=>[3,5,4,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[4,5,3,1,1]=>[4,5,3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[5,1,1,3,4]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,1,4,3]=>[2,3,5,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,3,1,4]=>[2,4,3,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,3,4,1]=>[2,5,3,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,4,1,3]=>[2,4,5,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,4,3,1]=>[2,5,4,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,3,1,1,4]=>[3,4,2,5,1]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]
[5,3,1,4,1]=>[3,5,2,4,1]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]
[5,3,4,1,1]=>[4,5,2,3,1]=>[4,5,2,3,1]=>[[[.,.],[.,.]],[.,.]]
[5,4,1,1,3]=>[3,4,5,2,1]=>[3,5,4,2,1]=>[[[.,.],.],[[.,.],.]]
[5,4,1,3,1]=>[3,5,4,2,1]=>[3,5,4,2,1]=>[[[.,.],.],[[.,.],.]]
[5,4,3,1,1]=>[4,5,3,2,1]=>[4,5,3,2,1]=>[[[[.,.],.],.],[.,.]]
[1,2,2,2,2]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,1,2,2,2]=>[2,1,3,4,5]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,2,1,2,2]=>[3,1,2,4,5]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,2,2,1,2]=>[4,1,2,3,5]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,2,2,2,1]=>[5,1,2,3,4]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[1,2,2,2,3]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,2,3,2]=>[1,2,3,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,3,2,2]=>[1,2,4,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,2,2,2]=>[1,3,4,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,1,2,2,3]=>[2,1,3,4,5]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,2,3,2]=>[2,1,3,5,4]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,3,2,2]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,2,1,2,3]=>[3,1,2,4,5]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,2,1,3,2]=>[3,1,2,5,4]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,2,2,1,3]=>[4,1,2,3,5]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,2,2,3,1]=>[5,1,2,3,4]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,2,3,1,2]=>[4,1,2,5,3]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,2,3,2,1]=>[5,1,2,4,3]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,3,1,2,2]=>[3,1,4,5,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,3,2,1,2]=>[4,1,3,5,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,3,2,2,1]=>[5,1,3,4,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[3,1,2,2,2]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[3,2,1,2,2]=>[3,2,4,5,1]=>[3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]
[3,2,2,1,2]=>[4,2,3,5,1]=>[4,2,5,3,1]=>[[[.,.],[.,.]],[.,.]]
[3,2,2,2,1]=>[5,2,3,4,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[1,2,2,2,4]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,2,4,2]=>[1,2,3,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,4,2,2]=>[1,2,4,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,2,2,2]=>[1,3,4,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,1,2,2,4]=>[2,1,3,4,5]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,2,4,2]=>[2,1,3,5,4]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,4,2,2]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,2,1,2,4]=>[3,1,2,4,5]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,2,1,4,2]=>[3,1,2,5,4]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,2,2,1,4]=>[4,1,2,3,5]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,2,2,4,1]=>[5,1,2,3,4]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,2,4,1,2]=>[4,1,2,5,3]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,2,4,2,1]=>[5,1,2,4,3]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,4,1,2,2]=>[3,1,4,5,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,4,2,1,2]=>[4,1,3,5,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,4,2,2,1]=>[5,1,3,4,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[4,1,2,2,2]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,2,1,2,2]=>[3,2,4,5,1]=>[3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]
[4,2,2,1,2]=>[4,2,3,5,1]=>[4,2,5,3,1]=>[[[.,.],[.,.]],[.,.]]
[4,2,2,2,1]=>[5,2,3,4,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[1,2,2,2,5]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,2,5,2]=>[1,2,3,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,5,2,2]=>[1,2,4,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,2,2,2]=>[1,3,4,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,1,2,2,5]=>[2,1,3,4,5]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,2,5,2]=>[2,1,3,5,4]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,5,2,2]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,2,1,2,5]=>[3,1,2,4,5]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,2,1,5,2]=>[3,1,2,5,4]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,2,2,1,5]=>[4,1,2,3,5]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,2,2,5,1]=>[5,1,2,3,4]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,2,5,1,2]=>[4,1,2,5,3]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,2,5,2,1]=>[5,1,2,4,3]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,5,1,2,2]=>[3,1,4,5,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,5,2,1,2]=>[4,1,3,5,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,5,2,2,1]=>[5,1,3,4,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[5,1,2,2,2]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,2,1,2,2]=>[3,2,4,5,1]=>[3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]
[5,2,2,1,2]=>[4,2,3,5,1]=>[4,2,5,3,1]=>[[[.,.],[.,.]],[.,.]]
[5,2,2,2,1]=>[5,2,3,4,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[1,2,2,3,3]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,3,2,3]=>[1,2,4,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,3,3,2]=>[1,2,5,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,2,2,3]=>[1,3,4,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,2,3,2]=>[1,3,5,2,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,3,2,2]=>[1,4,5,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,1,2,3,3]=>[2,1,3,4,5]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,3,2,3]=>[2,1,4,3,5]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,3,3,2]=>[2,1,5,3,4]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,2,1,3,3]=>[3,1,2,4,5]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,2,3,1,3]=>[4,1,2,3,5]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,2,3,3,1]=>[5,1,2,3,4]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,3,1,2,3]=>[3,1,4,2,5]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,3,1,3,2]=>[3,1,5,2,4]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,3,2,1,3]=>[4,1,3,2,5]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,3,2,3,1]=>[5,1,3,2,4]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,3,3,1,2]=>[4,1,5,2,3]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,3,3,2,1]=>[5,1,4,2,3]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[3,1,2,2,3]=>[2,3,4,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,1,2,3,2]=>[2,3,5,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,1,3,2,2]=>[2,4,5,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,2,1,2,3]=>[3,2,4,1,5]=>[3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]
[3,2,1,3,2]=>[3,2,5,1,4]=>[3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]
[3,2,2,1,3]=>[4,2,3,1,5]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,2,2,3,1]=>[5,2,3,1,4]=>[5,2,4,1,3]=>[[[.,.],[[.,.],.]],.]
[3,2,3,1,2]=>[4,2,5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,2,3,2,1]=>[5,2,4,1,3]=>[5,2,4,1,3]=>[[[.,.],[[.,.],.]],.]
[3,3,1,2,2]=>[3,4,5,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[3,3,2,1,2]=>[4,3,5,1,2]=>[4,3,5,1,2]=>[[[.,[.,.]],.],[.,.]]
[3,3,2,2,1]=>[5,3,4,1,2]=>[5,3,4,1,2]=>[[[.,[.,.]],[.,.]],.]
[1,2,2,3,4]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,2,4,3]=>[1,2,3,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,3,2,4]=>[1,2,4,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,3,4,2]=>[1,2,5,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,4,2,3]=>[1,2,4,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,4,3,2]=>[1,2,5,4,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,2,2,4]=>[1,3,4,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,2,4,2]=>[1,3,5,2,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,4,2,2]=>[1,4,5,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,2,2,3]=>[1,3,4,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,2,3,2]=>[1,3,5,4,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,3,2,2]=>[1,4,5,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,1,2,3,4]=>[2,1,3,4,5]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,2,4,3]=>[2,1,3,5,4]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,3,2,4]=>[2,1,4,3,5]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,3,4,2]=>[2,1,5,3,4]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,4,2,3]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,4,3,2]=>[2,1,5,4,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,2,1,3,4]=>[3,1,2,4,5]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,2,1,4,3]=>[3,1,2,5,4]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,2,3,1,4]=>[4,1,2,3,5]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,2,3,4,1]=>[5,1,2,3,4]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,2,4,1,3]=>[4,1,2,5,3]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,2,4,3,1]=>[5,1,2,4,3]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,3,1,2,4]=>[3,1,4,2,5]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,3,1,4,2]=>[3,1,5,2,4]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,3,2,1,4]=>[4,1,3,2,5]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,3,2,4,1]=>[5,1,3,2,4]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,3,4,1,2]=>[4,1,5,2,3]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,3,4,2,1]=>[5,1,4,2,3]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,4,1,2,3]=>[3,1,4,5,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,4,1,3,2]=>[3,1,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,4,2,1,3]=>[4,1,3,5,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,4,2,3,1]=>[5,1,3,4,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,4,3,1,2]=>[4,1,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,4,3,2,1]=>[5,1,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[3,1,2,2,4]=>[2,3,4,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,1,2,4,2]=>[2,3,5,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,1,4,2,2]=>[2,4,5,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,2,1,2,4]=>[3,2,4,1,5]=>[3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]
[3,2,1,4,2]=>[3,2,5,1,4]=>[3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]
[3,2,2,1,4]=>[4,2,3,1,5]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,2,2,4,1]=>[5,2,3,1,4]=>[5,2,4,1,3]=>[[[.,.],[[.,.],.]],.]
[3,2,4,1,2]=>[4,2,5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,2,4,2,1]=>[5,2,4,1,3]=>[5,2,4,1,3]=>[[[.,.],[[.,.],.]],.]
[3,4,1,2,2]=>[3,4,5,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[3,4,2,1,2]=>[4,3,5,1,2]=>[4,3,5,1,2]=>[[[.,[.,.]],.],[.,.]]
[3,4,2,2,1]=>[5,3,4,1,2]=>[5,3,4,1,2]=>[[[.,[.,.]],[.,.]],.]
[4,1,2,2,3]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,1,2,3,2]=>[2,3,5,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,1,3,2,2]=>[2,4,5,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,2,1,2,3]=>[3,2,4,5,1]=>[3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]
[4,2,1,3,2]=>[3,2,5,4,1]=>[3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]
[4,2,2,1,3]=>[4,2,3,5,1]=>[4,2,5,3,1]=>[[[.,.],[.,.]],[.,.]]
[4,2,2,3,1]=>[5,2,3,4,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[4,2,3,1,2]=>[4,2,5,3,1]=>[4,2,5,3,1]=>[[[.,.],[.,.]],[.,.]]
[4,2,3,2,1]=>[5,2,4,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[4,3,1,2,2]=>[3,4,5,2,1]=>[3,5,4,2,1]=>[[[.,.],.],[[.,.],.]]
[4,3,2,1,2]=>[4,3,5,2,1]=>[4,3,5,2,1]=>[[[[.,.],.],.],[.,.]]
[4,3,2,2,1]=>[5,3,4,2,1]=>[5,3,4,2,1]=>[[[[.,.],.],[.,.]],.]
[1,2,2,3,5]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,2,5,3]=>[1,2,3,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,3,2,5]=>[1,2,4,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,3,5,2]=>[1,2,5,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,5,2,3]=>[1,2,4,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,5,3,2]=>[1,2,5,4,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,2,2,5]=>[1,3,4,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,2,5,2]=>[1,3,5,2,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,5,2,2]=>[1,4,5,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,2,2,3]=>[1,3,4,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,2,3,2]=>[1,3,5,4,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,3,2,2]=>[1,4,5,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,1,2,3,5]=>[2,1,3,4,5]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,2,5,3]=>[2,1,3,5,4]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,3,2,5]=>[2,1,4,3,5]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,3,5,2]=>[2,1,5,3,4]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,5,2,3]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,5,3,2]=>[2,1,5,4,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,2,1,3,5]=>[3,1,2,4,5]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,2,1,5,3]=>[3,1,2,5,4]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,2,3,1,5]=>[4,1,2,3,5]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,2,3,5,1]=>[5,1,2,3,4]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,2,5,1,3]=>[4,1,2,5,3]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,2,5,3,1]=>[5,1,2,4,3]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,3,1,2,5]=>[3,1,4,2,5]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,3,1,5,2]=>[3,1,5,2,4]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,3,2,1,5]=>[4,1,3,2,5]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,3,2,5,1]=>[5,1,3,2,4]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,3,5,1,2]=>[4,1,5,2,3]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,3,5,2,1]=>[5,1,4,2,3]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,5,1,2,3]=>[3,1,4,5,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,5,1,3,2]=>[3,1,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,5,2,1,3]=>[4,1,3,5,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,5,2,3,1]=>[5,1,3,4,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,5,3,1,2]=>[4,1,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,5,3,2,1]=>[5,1,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[3,1,2,2,5]=>[2,3,4,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,1,2,5,2]=>[2,3,5,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,1,5,2,2]=>[2,4,5,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,2,1,2,5]=>[3,2,4,1,5]=>[3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]
[3,2,1,5,2]=>[3,2,5,1,4]=>[3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]
[3,2,2,1,5]=>[4,2,3,1,5]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,2,2,5,1]=>[5,2,3,1,4]=>[5,2,4,1,3]=>[[[.,.],[[.,.],.]],.]
[3,2,5,1,2]=>[4,2,5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[3,2,5,2,1]=>[5,2,4,1,3]=>[5,2,4,1,3]=>[[[.,.],[[.,.],.]],.]
[3,5,1,2,2]=>[3,4,5,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[3,5,2,1,2]=>[4,3,5,1,2]=>[4,3,5,1,2]=>[[[.,[.,.]],.],[.,.]]
[3,5,2,2,1]=>[5,3,4,1,2]=>[5,3,4,1,2]=>[[[.,[.,.]],[.,.]],.]
[5,1,2,2,3]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,2,3,2]=>[2,3,5,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,3,2,2]=>[2,4,5,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,2,1,2,3]=>[3,2,4,5,1]=>[3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]
[5,2,1,3,2]=>[3,2,5,4,1]=>[3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]
[5,2,2,1,3]=>[4,2,3,5,1]=>[4,2,5,3,1]=>[[[.,.],[.,.]],[.,.]]
[5,2,2,3,1]=>[5,2,3,4,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[5,2,3,1,2]=>[4,2,5,3,1]=>[4,2,5,3,1]=>[[[.,.],[.,.]],[.,.]]
[5,2,3,2,1]=>[5,2,4,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[5,3,1,2,2]=>[3,4,5,2,1]=>[3,5,4,2,1]=>[[[.,.],.],[[.,.],.]]
[5,3,2,1,2]=>[4,3,5,2,1]=>[4,3,5,2,1]=>[[[[.,.],.],.],[.,.]]
[5,3,2,2,1]=>[5,3,4,2,1]=>[5,3,4,2,1]=>[[[[.,.],.],[.,.]],.]
[1,2,2,4,4]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,4,2,4]=>[1,2,4,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,4,4,2]=>[1,2,5,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,2,2,4]=>[1,3,4,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,2,4,2]=>[1,3,5,2,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,4,2,2]=>[1,4,5,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,1,2,4,4]=>[2,1,3,4,5]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,4,2,4]=>[2,1,4,3,5]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,4,4,2]=>[2,1,5,3,4]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,2,1,4,4]=>[3,1,2,4,5]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,2,4,1,4]=>[4,1,2,3,5]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,2,4,4,1]=>[5,1,2,3,4]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,4,1,2,4]=>[3,1,4,2,5]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,4,1,4,2]=>[3,1,5,2,4]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,4,2,1,4]=>[4,1,3,2,5]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,4,2,4,1]=>[5,1,3,2,4]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,4,4,1,2]=>[4,1,5,2,3]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,4,4,2,1]=>[5,1,4,2,3]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[4,1,2,2,4]=>[2,3,4,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,2,4,2]=>[2,3,5,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,4,2,2]=>[2,4,5,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,2,1,2,4]=>[3,2,4,1,5]=>[3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]
[4,2,1,4,2]=>[3,2,5,1,4]=>[3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]
[4,2,2,1,4]=>[4,2,3,1,5]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,2,2,4,1]=>[5,2,3,1,4]=>[5,2,4,1,3]=>[[[.,.],[[.,.],.]],.]
[4,2,4,1,2]=>[4,2,5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,2,4,2,1]=>[5,2,4,1,3]=>[5,2,4,1,3]=>[[[.,.],[[.,.],.]],.]
[4,4,1,2,2]=>[3,4,5,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[4,4,2,1,2]=>[4,3,5,1,2]=>[4,3,5,1,2]=>[[[.,[.,.]],.],[.,.]]
[4,4,2,2,1]=>[5,3,4,1,2]=>[5,3,4,1,2]=>[[[.,[.,.]],[.,.]],.]
[1,2,2,4,5]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,2,5,4]=>[1,2,3,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,4,2,5]=>[1,2,4,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,4,5,2]=>[1,2,5,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,5,2,4]=>[1,2,4,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,5,4,2]=>[1,2,5,4,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,2,2,5]=>[1,3,4,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,2,5,2]=>[1,3,5,2,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,5,2,2]=>[1,4,5,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,2,2,4]=>[1,3,4,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,2,4,2]=>[1,3,5,4,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,4,2,2]=>[1,4,5,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,1,2,4,5]=>[2,1,3,4,5]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,2,5,4]=>[2,1,3,5,4]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,4,2,5]=>[2,1,4,3,5]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,4,5,2]=>[2,1,5,3,4]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,5,2,4]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,5,4,2]=>[2,1,5,4,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,2,1,4,5]=>[3,1,2,4,5]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,2,1,5,4]=>[3,1,2,5,4]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,2,4,1,5]=>[4,1,2,3,5]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,2,4,5,1]=>[5,1,2,3,4]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,2,5,1,4]=>[4,1,2,5,3]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,2,5,4,1]=>[5,1,2,4,3]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,4,1,2,5]=>[3,1,4,2,5]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,4,1,5,2]=>[3,1,5,2,4]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,4,2,1,5]=>[4,1,3,2,5]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,4,2,5,1]=>[5,1,3,2,4]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,4,5,1,2]=>[4,1,5,2,3]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,4,5,2,1]=>[5,1,4,2,3]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,5,1,2,4]=>[3,1,4,5,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,5,1,4,2]=>[3,1,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,5,2,1,4]=>[4,1,3,5,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,5,2,4,1]=>[5,1,3,4,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,5,4,1,2]=>[4,1,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,5,4,2,1]=>[5,1,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[4,1,2,2,5]=>[2,3,4,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,2,5,2]=>[2,3,5,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,5,2,2]=>[2,4,5,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,2,1,2,5]=>[3,2,4,1,5]=>[3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]
[4,2,1,5,2]=>[3,2,5,1,4]=>[3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]
[4,2,2,1,5]=>[4,2,3,1,5]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,2,2,5,1]=>[5,2,3,1,4]=>[5,2,4,1,3]=>[[[.,.],[[.,.],.]],.]
[4,2,5,1,2]=>[4,2,5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,2,5,2,1]=>[5,2,4,1,3]=>[5,2,4,1,3]=>[[[.,.],[[.,.],.]],.]
[4,5,1,2,2]=>[3,4,5,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[4,5,2,1,2]=>[4,3,5,1,2]=>[4,3,5,1,2]=>[[[.,[.,.]],.],[.,.]]
[4,5,2,2,1]=>[5,3,4,1,2]=>[5,3,4,1,2]=>[[[.,[.,.]],[.,.]],.]
[5,1,2,2,4]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,2,4,2]=>[2,3,5,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,4,2,2]=>[2,4,5,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,2,1,2,4]=>[3,2,4,5,1]=>[3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]
[5,2,1,4,2]=>[3,2,5,4,1]=>[3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]
[5,2,2,1,4]=>[4,2,3,5,1]=>[4,2,5,3,1]=>[[[.,.],[.,.]],[.,.]]
[5,2,2,4,1]=>[5,2,3,4,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[5,2,4,1,2]=>[4,2,5,3,1]=>[4,2,5,3,1]=>[[[.,.],[.,.]],[.,.]]
[5,2,4,2,1]=>[5,2,4,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[5,4,1,2,2]=>[3,4,5,2,1]=>[3,5,4,2,1]=>[[[.,.],.],[[.,.],.]]
[5,4,2,1,2]=>[4,3,5,2,1]=>[4,3,5,2,1]=>[[[[.,.],.],.],[.,.]]
[5,4,2,2,1]=>[5,3,4,2,1]=>[5,3,4,2,1]=>[[[[.,.],.],[.,.]],.]
[1,2,3,3,3]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,2,3,3]=>[1,3,2,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,3,2,3]=>[1,4,2,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,3,3,2]=>[1,5,2,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,1,3,3,3]=>[2,1,3,4,5]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,3,1,3,3]=>[3,1,2,4,5]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,3,3,1,3]=>[4,1,2,3,5]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,3,3,3,1]=>[5,1,2,3,4]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[3,1,2,3,3]=>[2,3,1,4,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,3,2,3]=>[2,4,1,3,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,3,3,2]=>[2,5,1,3,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,2,1,3,3]=>[3,2,1,4,5]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[3,2,3,1,3]=>[4,2,1,3,5]=>[4,2,1,5,3]=>[[[.,.],[.,.]],[.,.]]
[3,2,3,3,1]=>[5,2,1,3,4]=>[5,2,1,4,3]=>[[[.,.],[[.,.],.]],.]
[3,3,1,2,3]=>[3,4,1,2,5]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,3,1,3,2]=>[3,5,1,2,4]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,3,2,1,3]=>[4,3,1,2,5]=>[4,3,1,5,2]=>[[[.,[.,.]],.],[.,.]]
[3,3,2,3,1]=>[5,3,1,2,4]=>[5,3,1,4,2]=>[[[.,[.,.]],[.,.]],.]
[3,3,3,1,2]=>[4,5,1,2,3]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[3,3,3,2,1]=>[5,4,1,2,3]=>[5,4,1,3,2]=>[[[.,[[.,.],.]],.],.]
[1,2,3,3,4]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,3,4,3]=>[1,2,3,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,4,3,3]=>[1,2,4,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,2,3,4]=>[1,3,2,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,2,4,3]=>[1,3,2,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,3,2,4]=>[1,4,2,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,3,4,2]=>[1,5,2,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,4,2,3]=>[1,4,2,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,4,3,2]=>[1,5,2,4,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,2,3,3]=>[1,3,4,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,3,2,3]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,3,3,2]=>[1,5,3,4,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,1,3,3,4]=>[2,1,3,4,5]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,3,4,3]=>[2,1,3,5,4]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,4,3,3]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,3,1,3,4]=>[3,1,2,4,5]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,3,1,4,3]=>[3,1,2,5,4]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,3,3,1,4]=>[4,1,2,3,5]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,3,3,4,1]=>[5,1,2,3,4]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,3,4,1,3]=>[4,1,2,5,3]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,3,4,3,1]=>[5,1,2,4,3]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,4,1,3,3]=>[3,1,4,5,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,4,3,1,3]=>[4,1,3,5,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,4,3,3,1]=>[5,1,3,4,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[3,1,2,3,4]=>[2,3,1,4,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,2,4,3]=>[2,3,1,5,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,3,2,4]=>[2,4,1,3,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,3,4,2]=>[2,5,1,3,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,4,2,3]=>[2,4,1,5,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,4,3,2]=>[2,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,2,1,3,4]=>[3,2,1,4,5]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[3,2,1,4,3]=>[3,2,1,5,4]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[3,2,3,1,4]=>[4,2,1,3,5]=>[4,2,1,5,3]=>[[[.,.],[.,.]],[.,.]]
[3,2,3,4,1]=>[5,2,1,3,4]=>[5,2,1,4,3]=>[[[.,.],[[.,.],.]],.]
[3,2,4,1,3]=>[4,2,1,5,3]=>[4,2,1,5,3]=>[[[.,.],[.,.]],[.,.]]
[3,2,4,3,1]=>[5,2,1,4,3]=>[5,2,1,4,3]=>[[[.,.],[[.,.],.]],.]
[3,3,1,2,4]=>[3,4,1,2,5]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,3,1,4,2]=>[3,5,1,2,4]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,3,2,1,4]=>[4,3,1,2,5]=>[4,3,1,5,2]=>[[[.,[.,.]],.],[.,.]]
[3,3,2,4,1]=>[5,3,1,2,4]=>[5,3,1,4,2]=>[[[.,[.,.]],[.,.]],.]
[3,3,4,1,2]=>[4,5,1,2,3]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[3,3,4,2,1]=>[5,4,1,2,3]=>[5,4,1,3,2]=>[[[.,[[.,.],.]],.],.]
[3,4,1,2,3]=>[3,4,1,5,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,4,1,3,2]=>[3,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,4,2,1,3]=>[4,3,1,5,2]=>[4,3,1,5,2]=>[[[.,[.,.]],.],[.,.]]
[3,4,2,3,1]=>[5,3,1,4,2]=>[5,3,1,4,2]=>[[[.,[.,.]],[.,.]],.]
[3,4,3,1,2]=>[4,5,1,3,2]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[3,4,3,2,1]=>[5,4,1,3,2]=>[5,4,1,3,2]=>[[[.,[[.,.],.]],.],.]
[4,1,2,3,3]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,1,3,2,3]=>[2,4,3,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,1,3,3,2]=>[2,5,3,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,2,1,3,3]=>[3,2,4,5,1]=>[3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]
[4,2,3,1,3]=>[4,2,3,5,1]=>[4,2,5,3,1]=>[[[.,.],[.,.]],[.,.]]
[4,2,3,3,1]=>[5,2,3,4,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[4,3,1,2,3]=>[3,4,2,5,1]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]
[4,3,1,3,2]=>[3,5,2,4,1]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]
[4,3,2,1,3]=>[4,3,2,5,1]=>[4,3,2,5,1]=>[[[[.,.],.],.],[.,.]]
[4,3,2,3,1]=>[5,3,2,4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[4,3,3,1,2]=>[4,5,2,3,1]=>[4,5,2,3,1]=>[[[.,.],[.,.]],[.,.]]
[4,3,3,2,1]=>[5,4,2,3,1]=>[5,4,2,3,1]=>[[[[.,.],[.,.]],.],.]
[1,2,3,3,5]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,3,5,3]=>[1,2,3,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,5,3,3]=>[1,2,4,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,2,3,5]=>[1,3,2,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,2,5,3]=>[1,3,2,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,3,2,5]=>[1,4,2,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,3,5,2]=>[1,5,2,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,5,2,3]=>[1,4,2,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,5,3,2]=>[1,5,2,4,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,2,3,3]=>[1,3,4,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,3,2,3]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,3,3,2]=>[1,5,3,4,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,1,3,3,5]=>[2,1,3,4,5]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,3,5,3]=>[2,1,3,5,4]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,5,3,3]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,3,1,3,5]=>[3,1,2,4,5]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,3,1,5,3]=>[3,1,2,5,4]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,3,3,1,5]=>[4,1,2,3,5]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,3,3,5,1]=>[5,1,2,3,4]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,3,5,1,3]=>[4,1,2,5,3]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,3,5,3,1]=>[5,1,2,4,3]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,5,1,3,3]=>[3,1,4,5,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,5,3,1,3]=>[4,1,3,5,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,5,3,3,1]=>[5,1,3,4,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[3,1,2,3,5]=>[2,3,1,4,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,2,5,3]=>[2,3,1,5,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,3,2,5]=>[2,4,1,3,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,3,5,2]=>[2,5,1,3,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,5,2,3]=>[2,4,1,5,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,5,3,2]=>[2,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,2,1,3,5]=>[3,2,1,4,5]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[3,2,1,5,3]=>[3,2,1,5,4]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[3,2,3,1,5]=>[4,2,1,3,5]=>[4,2,1,5,3]=>[[[.,.],[.,.]],[.,.]]
[3,2,3,5,1]=>[5,2,1,3,4]=>[5,2,1,4,3]=>[[[.,.],[[.,.],.]],.]
[3,2,5,1,3]=>[4,2,1,5,3]=>[4,2,1,5,3]=>[[[.,.],[.,.]],[.,.]]
[3,2,5,3,1]=>[5,2,1,4,3]=>[5,2,1,4,3]=>[[[.,.],[[.,.],.]],.]
[3,3,1,2,5]=>[3,4,1,2,5]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,3,1,5,2]=>[3,5,1,2,4]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,3,2,1,5]=>[4,3,1,2,5]=>[4,3,1,5,2]=>[[[.,[.,.]],.],[.,.]]
[3,3,2,5,1]=>[5,3,1,2,4]=>[5,3,1,4,2]=>[[[.,[.,.]],[.,.]],.]
[3,3,5,1,2]=>[4,5,1,2,3]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[3,3,5,2,1]=>[5,4,1,2,3]=>[5,4,1,3,2]=>[[[.,[[.,.],.]],.],.]
[3,5,1,2,3]=>[3,4,1,5,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,5,1,3,2]=>[3,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,5,2,1,3]=>[4,3,1,5,2]=>[4,3,1,5,2]=>[[[.,[.,.]],.],[.,.]]
[3,5,2,3,1]=>[5,3,1,4,2]=>[5,3,1,4,2]=>[[[.,[.,.]],[.,.]],.]
[3,5,3,1,2]=>[4,5,1,3,2]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[3,5,3,2,1]=>[5,4,1,3,2]=>[5,4,1,3,2]=>[[[.,[[.,.],.]],.],.]
[5,1,2,3,3]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,3,2,3]=>[2,4,3,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,3,3,2]=>[2,5,3,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,2,1,3,3]=>[3,2,4,5,1]=>[3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]
[5,2,3,1,3]=>[4,2,3,5,1]=>[4,2,5,3,1]=>[[[.,.],[.,.]],[.,.]]
[5,2,3,3,1]=>[5,2,3,4,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[5,3,1,2,3]=>[3,4,2,5,1]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]
[5,3,1,3,2]=>[3,5,2,4,1]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]
[5,3,2,1,3]=>[4,3,2,5,1]=>[4,3,2,5,1]=>[[[[.,.],.],.],[.,.]]
[5,3,2,3,1]=>[5,3,2,4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[5,3,3,1,2]=>[4,5,2,3,1]=>[4,5,2,3,1]=>[[[.,.],[.,.]],[.,.]]
[5,3,3,2,1]=>[5,4,2,3,1]=>[5,4,2,3,1]=>[[[[.,.],[.,.]],.],.]
[1,2,3,4,4]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,4,3,4]=>[1,2,4,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,4,4,3]=>[1,2,5,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,2,4,4]=>[1,3,2,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,4,2,4]=>[1,4,2,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,4,4,2]=>[1,5,2,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,2,3,4]=>[1,3,4,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,2,4,3]=>[1,3,5,2,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,3,2,4]=>[1,4,3,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,3,4,2]=>[1,5,3,2,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,4,2,3]=>[1,4,5,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,4,3,2]=>[1,5,4,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,1,3,4,4]=>[2,1,3,4,5]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,4,3,4]=>[2,1,4,3,5]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,4,4,3]=>[2,1,5,3,4]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,3,1,4,4]=>[3,1,2,4,5]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,3,4,1,4]=>[4,1,2,3,5]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,3,4,4,1]=>[5,1,2,3,4]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,4,1,3,4]=>[3,1,4,2,5]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,4,1,4,3]=>[3,1,5,2,4]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,4,3,1,4]=>[4,1,3,2,5]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,4,3,4,1]=>[5,1,3,2,4]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,4,4,1,3]=>[4,1,5,2,3]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,4,4,3,1]=>[5,1,4,2,3]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[3,1,2,4,4]=>[2,3,1,4,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,4,2,4]=>[2,4,1,3,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,4,4,2]=>[2,5,1,3,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,2,1,4,4]=>[3,2,1,4,5]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[3,2,4,1,4]=>[4,2,1,3,5]=>[4,2,1,5,3]=>[[[.,.],[.,.]],[.,.]]
[3,2,4,4,1]=>[5,2,1,3,4]=>[5,2,1,4,3]=>[[[.,.],[[.,.],.]],.]
[3,4,1,2,4]=>[3,4,1,2,5]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,4,1,4,2]=>[3,5,1,2,4]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,4,2,1,4]=>[4,3,1,2,5]=>[4,3,1,5,2]=>[[[.,[.,.]],.],[.,.]]
[3,4,2,4,1]=>[5,3,1,2,4]=>[5,3,1,4,2]=>[[[.,[.,.]],[.,.]],.]
[3,4,4,1,2]=>[4,5,1,2,3]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[3,4,4,2,1]=>[5,4,1,2,3]=>[5,4,1,3,2]=>[[[.,[[.,.],.]],.],.]
[4,1,2,3,4]=>[2,3,4,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,2,4,3]=>[2,3,5,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,3,2,4]=>[2,4,3,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,3,4,2]=>[2,5,3,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,4,2,3]=>[2,4,5,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,4,3,2]=>[2,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,2,1,3,4]=>[3,2,4,1,5]=>[3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]
[4,2,1,4,3]=>[3,2,5,1,4]=>[3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]
[4,2,3,1,4]=>[4,2,3,1,5]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,2,3,4,1]=>[5,2,3,1,4]=>[5,2,4,1,3]=>[[[.,.],[[.,.],.]],.]
[4,2,4,1,3]=>[4,2,5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,2,4,3,1]=>[5,2,4,1,3]=>[5,2,4,1,3]=>[[[.,.],[[.,.],.]],.]
[4,3,1,2,4]=>[3,4,2,1,5]=>[3,5,2,1,4]=>[[[.,.],.],[[.,.],.]]
[4,3,1,4,2]=>[3,5,2,1,4]=>[3,5,2,1,4]=>[[[.,.],.],[[.,.],.]]
[4,3,2,1,4]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]
[4,3,2,4,1]=>[5,3,2,1,4]=>[5,3,2,1,4]=>[[[[.,.],.],[.,.]],.]
[4,3,4,1,2]=>[4,5,2,1,3]=>[4,5,2,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,3,4,2,1]=>[5,4,2,1,3]=>[5,4,2,1,3]=>[[[[.,.],[.,.]],.],.]
[4,4,1,2,3]=>[3,4,5,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[4,4,1,3,2]=>[3,5,4,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[4,4,2,1,3]=>[4,3,5,1,2]=>[4,3,5,1,2]=>[[[.,[.,.]],.],[.,.]]
[4,4,2,3,1]=>[5,3,4,1,2]=>[5,3,4,1,2]=>[[[.,[.,.]],[.,.]],.]
[4,4,3,1,2]=>[4,5,3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[4,4,3,2,1]=>[5,4,3,1,2]=>[5,4,3,1,2]=>[[[[.,[.,.]],.],.],.]
[1,2,3,4,5]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,3,5,4]=>[1,2,3,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,4,3,5]=>[1,2,4,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,4,5,3]=>[1,2,5,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,5,3,4]=>[1,2,4,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,2,5,4,3]=>[1,2,5,4,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,2,4,5]=>[1,3,2,4,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,2,5,4]=>[1,3,2,5,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,4,2,5]=>[1,4,2,3,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,4,5,2]=>[1,5,2,3,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,5,2,4]=>[1,4,2,5,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,3,5,4,2]=>[1,5,2,4,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,2,3,5]=>[1,3,4,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,2,5,3]=>[1,3,5,2,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,3,2,5]=>[1,4,3,2,5]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,3,5,2]=>[1,5,3,2,4]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,5,2,3]=>[1,4,5,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,4,5,3,2]=>[1,5,4,2,3]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,2,3,4]=>[1,3,4,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,2,4,3]=>[1,3,5,4,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,3,2,4]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,3,4,2]=>[1,5,3,4,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,4,2,3]=>[1,4,5,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[1,5,4,3,2]=>[1,5,4,3,2]=>[1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]
[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,3,5,4]=>[2,1,3,5,4]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,4,3,5]=>[2,1,4,3,5]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,4,5,3]=>[2,1,5,3,4]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,5,3,4]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,1,5,4,3]=>[2,1,5,4,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[2,3,1,4,5]=>[3,1,2,4,5]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,3,1,5,4]=>[3,1,2,5,4]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,3,4,1,5]=>[4,1,2,3,5]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,3,4,5,1]=>[5,1,2,3,4]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,3,5,1,4]=>[4,1,2,5,3]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,3,5,4,1]=>[5,1,2,4,3]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,4,1,3,5]=>[3,1,4,2,5]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,4,1,5,3]=>[3,1,5,2,4]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,4,3,1,5]=>[4,1,3,2,5]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,4,3,5,1]=>[5,1,3,2,4]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,4,5,1,3]=>[4,1,5,2,3]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,4,5,3,1]=>[5,1,4,2,3]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,5,1,3,4]=>[3,1,4,5,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,5,1,4,3]=>[3,1,5,4,2]=>[3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]
[2,5,3,1,4]=>[4,1,3,5,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,5,3,4,1]=>[5,1,3,4,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[2,5,4,1,3]=>[4,1,5,3,2]=>[4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]
[2,5,4,3,1]=>[5,1,4,3,2]=>[5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]
[3,1,2,4,5]=>[2,3,1,4,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,2,5,4]=>[2,3,1,5,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,4,2,5]=>[2,4,1,3,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,4,5,2]=>[2,5,1,3,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,5,2,4]=>[2,4,1,5,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,5,4,2]=>[2,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[3,2,1,4,5]=>[3,2,1,4,5]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[3,2,1,5,4]=>[3,2,1,5,4]=>[3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]
[3,2,4,1,5]=>[4,2,1,3,5]=>[4,2,1,5,3]=>[[[.,.],[.,.]],[.,.]]
[3,2,4,5,1]=>[5,2,1,3,4]=>[5,2,1,4,3]=>[[[.,.],[[.,.],.]],.]
[3,2,5,1,4]=>[4,2,1,5,3]=>[4,2,1,5,3]=>[[[.,.],[.,.]],[.,.]]
[3,2,5,4,1]=>[5,2,1,4,3]=>[5,2,1,4,3]=>[[[.,.],[[.,.],.]],.]
[3,4,1,2,5]=>[3,4,1,2,5]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,4,1,5,2]=>[3,5,1,2,4]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,4,2,1,5]=>[4,3,1,2,5]=>[4,3,1,5,2]=>[[[.,[.,.]],.],[.,.]]
[3,4,2,5,1]=>[5,3,1,2,4]=>[5,3,1,4,2]=>[[[.,[.,.]],[.,.]],.]
[3,4,5,1,2]=>[4,5,1,2,3]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[3,4,5,2,1]=>[5,4,1,2,3]=>[5,4,1,3,2]=>[[[.,[[.,.],.]],.],.]
[3,5,1,2,4]=>[3,4,1,5,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,5,1,4,2]=>[3,5,1,4,2]=>[3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]
[3,5,2,1,4]=>[4,3,1,5,2]=>[4,3,1,5,2]=>[[[.,[.,.]],.],[.,.]]
[3,5,2,4,1]=>[5,3,1,4,2]=>[5,3,1,4,2]=>[[[.,[.,.]],[.,.]],.]
[3,5,4,1,2]=>[4,5,1,3,2]=>[4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]
[3,5,4,2,1]=>[5,4,1,3,2]=>[5,4,1,3,2]=>[[[.,[[.,.],.]],.],.]
[4,1,2,3,5]=>[2,3,4,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,2,5,3]=>[2,3,5,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,3,2,5]=>[2,4,3,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,3,5,2]=>[2,5,3,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,5,2,3]=>[2,4,5,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,1,5,3,2]=>[2,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[4,2,1,3,5]=>[3,2,4,1,5]=>[3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]
[4,2,1,5,3]=>[3,2,5,1,4]=>[3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]
[4,2,3,1,5]=>[4,2,3,1,5]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,2,3,5,1]=>[5,2,3,1,4]=>[5,2,4,1,3]=>[[[.,.],[[.,.],.]],.]
[4,2,5,1,3]=>[4,2,5,1,3]=>[4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,2,5,3,1]=>[5,2,4,1,3]=>[5,2,4,1,3]=>[[[.,.],[[.,.],.]],.]
[4,3,1,2,5]=>[3,4,2,1,5]=>[3,5,2,1,4]=>[[[.,.],.],[[.,.],.]]
[4,3,1,5,2]=>[3,5,2,1,4]=>[3,5,2,1,4]=>[[[.,.],.],[[.,.],.]]
[4,3,2,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]
[4,3,2,5,1]=>[5,3,2,1,4]=>[5,3,2,1,4]=>[[[[.,.],.],[.,.]],.]
[4,3,5,1,2]=>[4,5,2,1,3]=>[4,5,2,1,3]=>[[[.,.],[.,.]],[.,.]]
[4,3,5,2,1]=>[5,4,2,1,3]=>[5,4,2,1,3]=>[[[[.,.],[.,.]],.],.]
[4,5,1,2,3]=>[3,4,5,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[4,5,1,3,2]=>[3,5,4,1,2]=>[3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]
[4,5,2,1,3]=>[4,3,5,1,2]=>[4,3,5,1,2]=>[[[.,[.,.]],.],[.,.]]
[4,5,2,3,1]=>[5,3,4,1,2]=>[5,3,4,1,2]=>[[[.,[.,.]],[.,.]],.]
[4,5,3,1,2]=>[4,5,3,1,2]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[4,5,3,2,1]=>[5,4,3,1,2]=>[5,4,3,1,2]=>[[[[.,[.,.]],.],.],.]
[5,1,2,3,4]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,2,4,3]=>[2,3,5,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,3,2,4]=>[2,4,3,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,3,4,2]=>[2,5,3,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,4,2,3]=>[2,4,5,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,1,4,3,2]=>[2,5,4,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[5,2,1,3,4]=>[3,2,4,5,1]=>[3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]
[5,2,1,4,3]=>[3,2,5,4,1]=>[3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]
[5,2,3,1,4]=>[4,2,3,5,1]=>[4,2,5,3,1]=>[[[.,.],[.,.]],[.,.]]
[5,2,3,4,1]=>[5,2,3,4,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[5,2,4,1,3]=>[4,2,5,3,1]=>[4,2,5,3,1]=>[[[.,.],[.,.]],[.,.]]
[5,2,4,3,1]=>[5,2,4,3,1]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[5,3,1,2,4]=>[3,4,2,5,1]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]
[5,3,1,4,2]=>[3,5,2,4,1]=>[3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]
[5,3,2,1,4]=>[4,3,2,5,1]=>[4,3,2,5,1]=>[[[[.,.],.],.],[.,.]]
[5,3,2,4,1]=>[5,3,2,4,1]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[5,3,4,1,2]=>[4,5,2,3,1]=>[4,5,2,3,1]=>[[[.,.],[.,.]],[.,.]]
[5,3,4,2,1]=>[5,4,2,3,1]=>[5,4,2,3,1]=>[[[[.,.],[.,.]],.],.]
[5,4,1,2,3]=>[3,4,5,2,1]=>[3,5,4,2,1]=>[[[.,.],.],[[.,.],.]]
[5,4,1,3,2]=>[3,5,4,2,1]=>[3,5,4,2,1]=>[[[.,.],.],[[.,.],.]]
[5,4,2,1,3]=>[4,3,5,2,1]=>[4,3,5,2,1]=>[[[[.,.],.],.],[.,.]]
[5,4,2,3,1]=>[5,3,4,2,1]=>[5,3,4,2,1]=>[[[[.,.],.],[.,.]],.]
[5,4,3,1,2]=>[4,5,3,2,1]=>[4,5,3,2,1]=>[[[[.,.],.],.],[.,.]]
[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[1,1,1,1,1,1]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,1,1,2]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,1,2,1]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,2,1,1]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,1,1,1]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,1,1,1]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,1,1,1]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,1,1,1,1,3]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,1,3,1]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,3,1,1]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,1,1,1]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,1,1,1]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[3,1,1,1,1,1]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,1,1,1,1,4]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,1,4,1]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,4,1,1]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,1,1,1]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,1,1,1]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[4,1,1,1,1,1]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,1,1,1,1,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,1,5,1]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,5,1,1]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,1,1,1]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,1,1,1]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[5,1,1,1,1,1]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,1,1,1,1,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,1,6,1]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,6,1,1]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,1,1,1]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,1,1,1]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[6,1,1,1,1,1]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,1,1,1,2,2]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,2,1,2]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,2,2,1]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,1,1,2]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,1,2,1]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,2,1,1]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,1,1,2]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,1,2,1]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,2,1,1]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,1,1,1]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,1,1,2]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,1,2,1]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,2,1,1]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,1,1,1]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,1,1,1]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[1,1,1,1,2,3]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,1,3,2]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,2,1,3]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,2,3,1]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,3,1,2]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,3,2,1]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,1,1,3]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,1,3,1]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,3,1,1]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,1,1,2]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,1,2,1]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,2,1,1]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,1,1,3]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,1,3,1]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,3,1,1]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,1,1,1]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,1,1,2]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,1,2,1]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,2,1,1]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,1,1,1]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,1,1,3]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,1,3,1]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,3,1,1]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,1,1,1]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,1,1,1]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,1,1,1,1,2]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,1,2,1]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,2,1,1]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,1,1,1]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,1,1,1]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[1,1,1,1,2,4]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,1,4,2]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,2,1,4]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,2,4,1]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,4,1,2]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,4,2,1]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,1,1,4]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,1,4,1]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,4,1,1]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,1,1,2]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,1,2,1]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,2,1,1]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,1,1,4]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,1,4,1]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,4,1,1]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,1,1,1]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,1,1,2]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,1,2,1]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,2,1,1]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,1,1,1]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,1,1,4]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,1,4,1]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,4,1,1]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,1,1,1]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,1,1,1]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,1,1,1,1,2]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,1,2,1]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,2,1,1]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,1,1,1]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,1,1,1]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[1,1,1,1,2,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,1,5,2]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,2,1,5]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,2,5,1]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,5,1,2]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,5,2,1]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,1,1,5]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,1,5,1]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,5,1,1]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,1,1,2]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,1,2,1]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,2,1,1]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,1,1,5]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,1,5,1]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,5,1,1]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,1,1,1]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,1,1,2]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,1,2,1]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,2,1,1]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,1,1,1]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,1,1,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,1,5,1]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,5,1,1]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,1,1,1]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,1,1,1]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,1,1,1,1,2]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,1,2,1]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,2,1,1]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,1,1,1]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,1,1,1]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[1,1,1,1,2,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,1,6,2]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,2,1,6]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,2,6,1]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,6,1,2]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,6,2,1]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,1,1,6]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,1,6,1]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,6,1,1]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,1,1,2]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,1,2,1]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,2,1,1]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,1,1,6]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,1,6,1]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,6,1,1]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,1,1,1]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,1,1,2]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,1,2,1]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,2,1,1]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,1,1,1]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,1,1,6]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,1,6,1]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,6,1,1]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,1,1,1]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,1,1,1]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[6,1,1,1,1,2]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,1,2,1]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,2,1,1]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,1,1,1]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,1,1,1,1]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[1,1,1,1,3,3]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,3,1,3]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,3,3,1]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,1,1,3]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,1,3,1]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,3,1,1]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,1,1,3]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,1,3,1]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,3,1,1]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,1,1,1]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[3,1,1,1,1,3]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,1,3,1]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,3,1,1]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,1,1,1]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,3,1,1,1,1]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[1,1,1,1,3,4]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,1,4,3]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,3,1,4]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,3,4,1]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,4,1,3]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,4,3,1]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,1,1,4]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,1,4,1]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,4,1,1]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,1,1,3]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,1,3,1]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,3,1,1]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,1,1,4]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,1,4,1]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,4,1,1]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,1,1,1]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,1,1,3]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,1,3,1]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,3,1,1]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,1,1,1]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[3,1,1,1,1,4]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,1,4,1]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,4,1,1]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,1,1,1]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,1,1,1,1]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,1,1,1,1,3]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,1,3,1]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,3,1,1]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,1,1,1]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,1,1,1,1]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[1,1,1,1,3,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,1,5,3]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,3,1,5]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,3,5,1]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,5,1,3]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,5,3,1]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,1,1,5]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,1,5,1]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,5,1,1]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,1,1,3]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,1,3,1]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,3,1,1]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,1,1,5]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,1,5,1]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,5,1,1]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,1,1,1]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,1,1,3]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,1,3,1]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,3,1,1]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,1,1,1]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[3,1,1,1,1,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,1,5,1]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,5,1,1]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,1,1,1]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,5,1,1,1,1]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,1,1,1,1,3]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,1,3,1]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,3,1,1]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,1,1,1]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,1,1,1,1]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[1,1,1,1,3,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,1,6,3]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,3,1,6]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,3,6,1]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,6,1,3]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,6,3,1]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,1,1,6]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,1,6,1]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,6,1,1]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,1,1,3]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,1,3,1]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,3,1,1]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,1,1,6]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,1,6,1]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,6,1,1]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,1,1,1]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,1,1,3]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,1,3,1]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,3,1,1]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,1,1,1]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[3,1,1,1,1,6]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,1,6,1]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,6,1,1]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,1,1,1]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,6,1,1,1,1]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[6,1,1,1,1,3]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,1,3,1]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,3,1,1]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,1,1,1]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,3,1,1,1,1]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[1,1,1,1,4,4]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,4,1,4]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,4,4,1]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,1,1,4]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,1,4,1]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,4,1,1]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,1,1,4]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,1,4,1]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,4,1,1]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,1,1,1]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[4,1,1,1,1,4]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,1,4,1]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,4,1,1]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,1,1,1]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,4,1,1,1,1]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[1,1,1,1,4,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,1,5,4]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,4,1,5]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,4,5,1]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,5,1,4]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,5,4,1]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,1,1,5]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,1,5,1]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,5,1,1]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,1,1,4]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,1,4,1]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,4,1,1]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,1,1,5]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,1,5,1]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,5,1,1]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,1,1,1]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,1,1,4]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,1,4,1]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,4,1,1]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,1,1,1]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[4,1,1,1,1,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,1,5,1]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,5,1,1]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,1,1,1]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,5,1,1,1,1]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,1,1,1,1,4]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,1,4,1]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,4,1,1]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,1,1,1]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,4,1,1,1,1]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[1,1,1,1,4,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,1,6,4]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,4,1,6]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,4,6,1]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,6,1,4]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,6,4,1]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,1,1,6]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,1,6,1]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,6,1,1]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,1,1,4]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,1,4,1]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,4,1,1]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,1,1,6]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,1,6,1]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,6,1,1]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,1,1,1]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,1,1,4]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,1,4,1]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,4,1,1]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,1,1,1]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[4,1,1,1,1,6]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,1,6,1]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,6,1,1]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,1,1,1]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,6,1,1,1,1]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[6,1,1,1,1,4]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,1,4,1]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,4,1,1]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,1,1,1]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,4,1,1,1,1]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[1,1,1,1,5,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,5,1,5]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,5,5,1]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,1,1,5]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,1,5,1]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,5,1,1]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,1,1,5]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,1,5,1]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,5,1,1]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,1,1,1]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[5,1,1,1,1,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,1,5,1]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,5,1,1]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,1,1,1]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,5,1,1,1,1]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[1,1,1,1,5,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,1,6,5]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,5,1,6]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,5,6,1]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,6,1,5]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,6,5,1]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,1,1,6]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,1,6,1]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,6,1,1]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,1,1,5]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,1,5,1]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,5,1,1]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,1,1,6]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,1,6,1]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,6,1,1]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,6,1,1,1]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,1,1,5]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,1,5,1]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,5,1,1]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,5,1,1,1]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[5,1,1,1,1,6]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,1,6,1]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,6,1,1]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,1,1,1]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,6,1,1,1,1]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[6,1,1,1,1,5]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,1,5,1]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,5,1,1]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,1,1,1]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,5,1,1,1,1]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[1,1,1,2,2,2]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,1,2,2]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,2,1,2]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,2,2,1]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,1,2,2]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,2,1,2]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,2,2,1]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,1,1,2]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,1,2,1]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,2,1,1]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,1,2,2]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,2,1,2]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,2,2,1]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,1,1,2]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,1,2,1]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,2,1,1]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,1,1,2]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,1,2,1]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,2,1,1]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,2,1,1,1]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[1,1,1,2,2,3]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,2,3,2]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,3,2,2]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,1,2,3]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,1,3,2]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,2,1,3]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,2,3,1]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,3,1,2]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,3,2,1]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,1,2,2]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,2,1,2]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,2,2,1]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,1,2,3]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,1,3,2]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,2,1,3]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,2,3,1]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,3,1,2]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,3,2,1]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,1,1,3]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,1,3,1]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,3,1,1]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,1,1,2]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,1,2,1]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,2,1,1]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,1,2,2]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,2,1,2]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,2,2,1]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,1,1,2]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,1,2,1]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,2,1,1]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,1,2,3]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,1,3,2]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,2,1,3]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,2,3,1]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,3,1,2]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,3,2,1]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,1,1,3]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,1,3,1]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,3,1,1]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,1,1,2]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,1,2,1]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,2,1,1]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,1,1,3]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,1,3,1]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,3,1,1]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,3,1,1,1]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,1,1,1,2]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,1,2,1]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,2,1,1]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,2,1,1,1]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,1,1,1,2,2]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,2,1,2]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,2,2,1]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,1,1,2]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,1,2,1]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,2,1,1]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,1,1,2]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,1,2,1]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,2,1,1]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,2,1,1,1]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[1,1,1,2,2,4]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,2,4,2]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,4,2,2]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,1,2,4]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,1,4,2]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,2,1,4]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,2,4,1]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,4,1,2]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,4,2,1]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,1,2,2]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,2,1,2]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,2,2,1]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,1,2,4]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,1,4,2]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,2,1,4]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,2,4,1]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,4,1,2]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,4,2,1]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,1,1,4]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,1,4,1]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,4,1,1]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,1,1,2]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,1,2,1]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,2,1,1]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,1,2,2]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,2,1,2]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,2,2,1]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,1,1,2]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,1,2,1]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,2,1,1]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,1,2,4]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,1,4,2]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,2,1,4]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,2,4,1]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,4,1,2]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,4,2,1]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,1,1,4]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,1,4,1]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,4,1,1]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,1,1,2]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,1,2,1]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,2,1,1]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,1,1,4]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,1,4,1]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,4,1,1]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,4,1,1,1]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,1,1,1,2]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,1,2,1]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,2,1,1]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,2,1,1,1]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,1,1,2,2]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,2,1,2]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,2,2,1]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,1,1,2]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,1,2,1]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,2,1,1]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,1,1,2]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,1,2,1]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,2,1,1]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,2,1,1,1]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[1,1,1,2,2,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,2,5,2]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,5,2,2]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,1,2,5]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,1,5,2]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,2,1,5]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,2,5,1]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,5,1,2]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,5,2,1]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,1,2,2]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,2,1,2]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,2,2,1]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,1,2,5]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,1,5,2]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,2,1,5]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,2,5,1]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,5,1,2]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,5,2,1]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,1,1,5]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,1,5,1]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,5,1,1]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,1,1,2]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,1,2,1]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,2,1,1]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,1,2,2]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,2,1,2]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,2,2,1]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,1,1,2]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,1,2,1]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,2,1,1]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,1,2,5]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,1,5,2]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,2,1,5]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,2,5,1]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,5,1,2]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,5,2,1]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,1,1,5]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,1,5,1]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,5,1,1]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,1,1,2]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,1,2,1]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,2,1,1]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,1,1,5]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,1,5,1]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,5,1,1]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,5,1,1,1]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,1,1,1,2]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,1,2,1]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,2,1,1]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,2,1,1,1]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[5,1,1,1,2,2]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,2,1,2]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,2,2,1]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,1,1,2]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,1,2,1]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,2,1,1]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,1,1,2]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,1,2,1]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,2,1,1]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,2,1,1,1]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[1,1,1,2,2,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,2,6,2]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,6,2,2]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,1,2,6]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,1,6,2]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,2,1,6]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,2,6,1]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,6,1,2]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,6,2,1]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,1,2,2]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,2,1,2]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,2,2,1]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,1,2,6]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,1,6,2]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,2,1,6]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,2,6,1]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,6,1,2]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,6,2,1]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,1,1,6]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,1,6,1]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,6,1,1]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,1,1,2]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,1,2,1]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,2,1,1]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,1,2,2]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,2,1,2]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,2,2,1]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,1,1,2]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,1,2,1]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,2,1,1]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,1,2,6]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,1,6,2]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,2,1,6]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,2,6,1]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,6,1,2]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,6,2,1]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,1,1,6]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,1,6,1]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,6,1,1]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,1,1,2]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,1,2,1]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,2,1,1]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,1,1,6]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,1,6,1]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,6,1,1]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,6,1,1,1]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,1,1,1,2]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,1,2,1]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,2,1,1]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,2,1,1,1]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[6,1,1,1,2,2]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,2,1,2]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,2,2,1]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,1,1,2]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,1,2,1]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,2,1,1]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,1,1,1,2]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,1,2,1]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,2,1,1]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,2,1,1,1]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[1,1,1,2,3,3]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,3,2,3]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,3,3,2]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,1,3,3]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,3,1,3]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,3,3,1]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,1,2,3]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,1,3,2]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,2,1,3]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,2,3,1]=>[1,2,6,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,3,1,2]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,3,2,1]=>[1,2,6,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,1,3,3]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,3,1,3]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,3,3,1]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,1,1,3]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,1,3,1]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,3,1,1]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,1,2,3]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,1,3,2]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,2,1,3]=>[1,3,5,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,2,3,1]=>[1,3,6,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,3,1,2]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,3,2,1]=>[1,3,6,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,1,1,3]=>[1,4,5,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,1,3,1]=>[1,4,6,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,3,1,1]=>[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,1,1,2]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,1,2,1]=>[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,2,1,1]=>[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,1,3,3]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,3,1,3]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,3,3,1]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,1,1,3]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,1,3,1]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,3,1,1]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,1,1,3]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,1,3,1]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,3,1,1]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,3,1,1,1]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,1,1,1,2,3]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,1,3,2]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,2,1,3]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,2,3,1]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,3,1,2]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,3,2,1]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,1,1,3]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,1,3,1]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,3,1,1]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,1,1,2]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,1,2,1]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,2,1,1]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,1,1,3]=>[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,1,3,1]=>[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,3,1,1]=>[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,3,1,1,1]=>[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,3,1,1,1,2]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,1,2,1]=>[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,2,1,1]=>[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,2,1,1,1]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[1,1,1,2,3,4]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,2,4,3]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,3,2,4]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,3,4,2]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,4,2,3]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,4,3,2]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,1,3,4]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,1,4,3]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,3,1,4]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,3,4,1]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,4,1,3]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,4,3,1]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,1,2,4]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,1,4,2]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,2,1,4]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,2,4,1]=>[1,2,6,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,4,1,2]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,4,2,1]=>[1,2,6,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,1,2,3]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,1,3,2]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,2,1,3]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,2,3,1]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,3,1,2]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,3,2,1]=>[1,2,6,5,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,1,3,4]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,1,4,3]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,3,1,4]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,3,4,1]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,4,1,3]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,4,3,1]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,1,1,4]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,1,4,1]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,4,1,1]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,1,1,3]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,1,3,1]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,3,1,1]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,1,2,4]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,1,4,2]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,2,1,4]=>[1,3,5,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,2,4,1]=>[1,3,6,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,4,1,2]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,4,2,1]=>[1,3,6,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,1,1,4]=>[1,4,5,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,1,4,1]=>[1,4,6,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,4,1,1]=>[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,1,1,2]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,1,2,1]=>[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,2,1,1]=>[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,1,2,3]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,1,3,2]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,2,1,3]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,2,3,1]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,3,1,2]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,3,2,1]=>[1,3,6,5,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,1,1,3]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,1,3,1]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,3,1,1]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,1,1,2]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,1,2,1]=>[1,4,6,5,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,2,1,1]=>[1,5,6,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,1,3,4]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,1,4,3]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,3,1,4]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,3,4,1]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,4,1,3]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,4,3,1]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,1,1,4]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,1,4,1]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,4,1,1]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,1,1,3]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,1,3,1]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,3,1,1]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,1,1,4]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,1,4,1]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,4,1,1]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,4,1,1,1]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,1,1,1,3]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,1,3,1]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,3,1,1]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,3,1,1,1]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,1,1,1,2,4]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,1,4,2]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,2,1,4]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,2,4,1]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,4,1,2]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,4,2,1]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,1,1,4]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,1,4,1]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,4,1,1]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,1,1,2]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,1,2,1]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,2,1,1]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,1,1,4]=>[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,1,4,1]=>[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,4,1,1]=>[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,1,1,1]=>[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,4,1,1,1,2]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,1,2,1]=>[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,2,1,1]=>[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,2,1,1,1]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,1,1,1,2,3]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,1,3,2]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,2,1,3]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,2,3,1]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,3,1,2]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,3,2,1]=>[2,3,6,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,1,1,3]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,1,3,1]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,3,1,1]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,1,1,2]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,1,2,1]=>[2,4,6,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,2,1,1]=>[2,5,6,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,1,1,3]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,1,3,1]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,3,1,1]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,3,1,1,1]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,1,1,1,2]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,1,2,1]=>[3,4,6,5,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,2,1,1]=>[3,5,6,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,2,1,1,1]=>[4,5,6,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[1,1,1,2,3,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,2,5,3]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,3,2,5]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,3,5,2]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,5,2,3]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,5,3,2]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,1,3,5]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,1,5,3]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,3,1,5]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,3,5,1]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,5,1,3]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,5,3,1]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,1,2,5]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,1,5,2]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,2,1,5]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,2,5,1]=>[1,2,6,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,5,1,2]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,5,2,1]=>[1,2,6,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,1,2,3]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,1,3,2]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,2,1,3]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,2,3,1]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,3,1,2]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,3,2,1]=>[1,2,6,5,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,1,3,5]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,1,5,3]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,3,1,5]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,3,5,1]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,5,1,3]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,5,3,1]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,1,1,5]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,1,5,1]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,5,1,1]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,1,1,3]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,1,3,1]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,3,1,1]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,1,2,5]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,1,5,2]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,2,1,5]=>[1,3,5,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,2,5,1]=>[1,3,6,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,5,1,2]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,5,2,1]=>[1,3,6,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,1,1,5]=>[1,4,5,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,1,5,1]=>[1,4,6,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,5,1,1]=>[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,1,1,2]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,1,2,1]=>[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,2,1,1]=>[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,1,2,3]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,1,3,2]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,2,1,3]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,2,3,1]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,3,1,2]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,3,2,1]=>[1,3,6,5,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,1,1,3]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,1,3,1]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,3,1,1]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,1,1,2]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,1,2,1]=>[1,4,6,5,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,2,1,1]=>[1,5,6,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,1,3,5]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,1,5,3]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,3,1,5]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,3,5,1]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,5,1,3]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,5,3,1]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,1,1,5]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,1,5,1]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,5,1,1]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,1,1,3]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,1,3,1]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,3,1,1]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,1,1,5]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,1,5,1]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,5,1,1]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,5,1,1,1]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,1,1,1,3]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,1,3,1]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,3,1,1]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,3,1,1,1]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,1,1,1,2,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,1,5,2]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,2,1,5]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,2,5,1]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,5,1,2]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,5,2,1]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,1,1,5]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,1,5,1]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,5,1,1]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,1,1,2]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,1,2,1]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,2,1,1]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,1,1,5]=>[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,1,5,1]=>[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,5,1,1]=>[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,5,1,1,1]=>[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,5,1,1,1,2]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,1,2,1]=>[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,2,1,1]=>[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,2,1,1,1]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,1,1,1,2,3]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,1,3,2]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,2,1,3]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,2,3,1]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,3,1,2]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,3,2,1]=>[2,3,6,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,1,1,3]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,1,3,1]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,3,1,1]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,1,1,2]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,1,2,1]=>[2,4,6,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,2,1,1]=>[2,5,6,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,1,1,3]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,1,3,1]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,3,1,1]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,3,1,1,1]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,1,1,1,2]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,1,2,1]=>[3,4,6,5,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,2,1,1]=>[3,5,6,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,2,1,1,1]=>[4,5,6,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[1,1,1,2,3,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,2,6,3]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,3,2,6]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,3,6,2]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,6,2,3]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,6,3,2]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,1,3,6]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,1,6,3]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,3,1,6]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,3,6,1]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,6,1,3]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,6,3,1]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,1,2,6]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,1,6,2]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,2,1,6]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,2,6,1]=>[1,2,6,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,6,1,2]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,6,2,1]=>[1,2,6,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,1,2,3]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,1,3,2]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,2,1,3]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,2,3,1]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,3,1,2]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,3,2,1]=>[1,2,6,5,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,1,3,6]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,1,6,3]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,3,1,6]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,3,6,1]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,6,1,3]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,6,3,1]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,1,1,6]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,1,6,1]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,6,1,1]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,1,1,3]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,1,3,1]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,3,1,1]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,1,2,6]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,1,6,2]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,2,1,6]=>[1,3,5,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,2,6,1]=>[1,3,6,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,6,1,2]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,6,2,1]=>[1,3,6,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,1,1,6]=>[1,4,5,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,1,6,1]=>[1,4,6,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,6,1,1]=>[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,1,1,2]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,1,2,1]=>[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,2,1,1]=>[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,1,2,3]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,1,3,2]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,2,1,3]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,2,3,1]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,3,1,2]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,3,2,1]=>[1,3,6,5,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,1,1,3]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,1,3,1]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,3,1,1]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,1,1,2]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,1,2,1]=>[1,4,6,5,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,2,1,1]=>[1,5,6,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,1,3,6]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,1,6,3]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,3,1,6]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,3,6,1]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,6,1,3]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,6,3,1]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,1,1,6]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,1,6,1]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,6,1,1]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,1,1,3]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,1,3,1]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,3,1,1]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,1,1,6]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,1,6,1]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,6,1,1]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,6,1,1,1]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,1,1,1,3]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,1,3,1]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,3,1,1]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,3,1,1,1]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,1,1,1,2,6]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,1,6,2]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,2,1,6]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,2,6,1]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,6,1,2]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,6,2,1]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,1,1,6]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,1,6,1]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,6,1,1]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,1,1,2]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,1,2,1]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,2,1,1]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,1,1,6]=>[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,1,6,1]=>[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,6,1,1]=>[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,6,1,1,1]=>[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,6,1,1,1,2]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,1,2,1]=>[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,2,1,1]=>[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,2,1,1,1]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[6,1,1,1,2,3]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,1,3,2]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,2,1,3]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,2,3,1]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,3,1,2]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,3,2,1]=>[2,3,6,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,1,1,3]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,1,3,1]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,3,1,1]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,1,1,2]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,1,2,1]=>[2,4,6,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,2,1,1]=>[2,5,6,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,1,1,1,3]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,1,3,1]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,3,1,1]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,3,1,1,1]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,3,1,1,1,2]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,1,2,1]=>[3,4,6,5,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,2,1,1]=>[3,5,6,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,2,1,1,1]=>[4,5,6,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[1,1,1,2,4,4]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,4,2,4]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,4,4,2]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,1,4,4]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,4,1,4]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,4,4,1]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,1,2,4]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,1,4,2]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,2,1,4]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,2,4,1]=>[1,2,6,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,4,1,2]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,4,2,1]=>[1,2,6,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,1,4,4]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,4,1,4]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,4,4,1]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,1,1,4]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,1,4,1]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,4,1,1]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,1,2,4]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,1,4,2]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,2,1,4]=>[1,3,5,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,2,4,1]=>[1,3,6,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,4,1,2]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,4,2,1]=>[1,3,6,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,1,1,4]=>[1,4,5,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,1,4,1]=>[1,4,6,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,4,1,1]=>[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,1,1,2]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,1,2,1]=>[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,2,1,1]=>[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,1,4,4]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,4,1,4]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,4,4,1]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,1,1,4]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,1,4,1]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,4,1,1]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,1,1,4]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,1,4,1]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,4,1,1]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,4,1,1,1]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,1,1,2,4]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,1,4,2]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,2,1,4]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,2,4,1]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,4,1,2]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,4,2,1]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,1,1,4]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,1,4,1]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,4,1,1]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,1,1,2]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,1,2,1]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,2,1,1]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,1,1,4]=>[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,1,4,1]=>[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,4,1,1]=>[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,4,1,1,1]=>[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,4,1,1,1,2]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,1,2,1]=>[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,2,1,1]=>[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,2,1,1,1]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[1,1,1,2,4,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,2,5,4]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,4,2,5]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,4,5,2]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,5,2,4]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,5,4,2]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,1,4,5]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,1,5,4]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,4,1,5]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,4,5,1]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,5,1,4]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,5,4,1]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,1,2,5]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,1,5,2]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,2,1,5]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,2,5,1]=>[1,2,6,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,5,1,2]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,5,2,1]=>[1,2,6,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,1,2,4]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,1,4,2]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,2,1,4]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,2,4,1]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,4,1,2]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,4,2,1]=>[1,2,6,5,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,1,4,5]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,1,5,4]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,4,1,5]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,4,5,1]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,5,1,4]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,5,4,1]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,1,1,5]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,1,5,1]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,5,1,1]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,1,1,4]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,1,4,1]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,4,1,1]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,1,2,5]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,1,5,2]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,2,1,5]=>[1,3,5,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,2,5,1]=>[1,3,6,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,5,1,2]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,5,2,1]=>[1,3,6,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,1,1,5]=>[1,4,5,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,1,5,1]=>[1,4,6,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,5,1,1]=>[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,1,1,2]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,1,2,1]=>[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,2,1,1]=>[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,1,2,4]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,1,4,2]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,2,1,4]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,2,4,1]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,4,1,2]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,4,2,1]=>[1,3,6,5,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,1,1,4]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,1,4,1]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,4,1,1]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,1,1,2]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,1,2,1]=>[1,4,6,5,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,2,1,1]=>[1,5,6,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,1,4,5]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,1,5,4]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,4,1,5]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,4,5,1]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,5,1,4]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,5,4,1]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,1,1,5]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,1,5,1]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,5,1,1]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,1,1,4]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,1,4,1]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,4,1,1]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,1,1,5]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,1,5,1]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,5,1,1]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,5,1,1,1]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,1,1,1,4]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,1,4,1]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,4,1,1]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,4,1,1,1]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,1,1,2,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,1,5,2]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,2,1,5]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,2,5,1]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,5,1,2]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,5,2,1]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,1,1,5]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,1,5,1]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,5,1,1]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,1,1,2]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,1,2,1]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,2,1,1]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,1,1,5]=>[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,1,5,1]=>[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,5,1,1]=>[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,5,1,1,1]=>[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,1,1,1,2]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,1,2,1]=>[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,2,1,1]=>[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,2,1,1,1]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,1,1,1,2,4]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,1,4,2]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,2,1,4]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,2,4,1]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,4,1,2]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,4,2,1]=>[2,3,6,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,1,1,4]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,1,4,1]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,4,1,1]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,1,1,2]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,1,2,1]=>[2,4,6,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,2,1,1]=>[2,5,6,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,1,1,4]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,1,4,1]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,4,1,1]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,4,1,1,1]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,4,1,1,1,2]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,1,2,1]=>[3,4,6,5,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,2,1,1]=>[3,5,6,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,2,1,1,1]=>[4,5,6,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[1,1,1,2,4,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,2,6,4]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,4,2,6]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,4,6,2]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,6,2,4]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,6,4,2]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,1,4,6]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,1,6,4]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,4,1,6]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,4,6,1]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,6,1,4]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,6,4,1]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,1,2,6]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,1,6,2]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,2,1,6]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,2,6,1]=>[1,2,6,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,6,1,2]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,6,2,1]=>[1,2,6,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,1,2,4]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,1,4,2]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,2,1,4]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,2,4,1]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,4,1,2]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,4,2,1]=>[1,2,6,5,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,1,4,6]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,1,6,4]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,4,1,6]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,4,6,1]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,6,1,4]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,6,4,1]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,1,1,6]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,1,6,1]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,6,1,1]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,1,1,4]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,1,4,1]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,4,1,1]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,1,2,6]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,1,6,2]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,2,1,6]=>[1,3,5,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,2,6,1]=>[1,3,6,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,6,1,2]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,6,2,1]=>[1,3,6,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,1,1,6]=>[1,4,5,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,1,6,1]=>[1,4,6,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,6,1,1]=>[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,1,1,2]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,1,2,1]=>[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,2,1,1]=>[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,1,2,4]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,1,4,2]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,2,1,4]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,2,4,1]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,4,1,2]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,4,2,1]=>[1,3,6,5,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,1,1,4]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,1,4,1]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,4,1,1]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,1,1,2]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,1,2,1]=>[1,4,6,5,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,2,1,1]=>[1,5,6,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,1,4,6]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,1,6,4]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,4,1,6]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,4,6,1]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,6,1,4]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,6,4,1]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,1,1,6]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,1,6,1]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,6,1,1]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,1,1,4]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,1,4,1]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,4,1,1]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,1,1,6]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,1,6,1]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,6,1,1]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,6,1,1,1]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,1,1,1,4]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,1,4,1]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,4,1,1]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,4,1,1,1]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,1,1,2,6]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,1,6,2]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,2,1,6]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,2,6,1]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,6,1,2]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,6,2,1]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,1,1,6]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,1,6,1]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,6,1,1]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,1,1,2]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,1,2,1]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,2,1,1]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,1,1,6]=>[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,1,6,1]=>[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,6,1,1]=>[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,6,1,1,1]=>[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,1,1,1,2]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,1,2,1]=>[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,2,1,1]=>[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,2,1,1,1]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[6,1,1,1,2,4]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,1,4,2]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,2,1,4]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,2,4,1]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,4,1,2]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,4,2,1]=>[2,3,6,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,1,1,4]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,1,4,1]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,4,1,1]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,1,1,2]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,1,2,1]=>[2,4,6,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,2,1,1]=>[2,5,6,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,1,1,1,4]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,1,4,1]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,4,1,1]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,4,1,1,1]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,4,1,1,1,2]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,1,2,1]=>[3,4,6,5,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,2,1,1]=>[3,5,6,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,2,1,1,1]=>[4,5,6,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[1,1,1,2,5,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,5,2,5]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,5,5,2]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,1,5,5]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,5,1,5]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,5,5,1]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,1,2,5]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,1,5,2]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,2,1,5]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,2,5,1]=>[1,2,6,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,5,1,2]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,5,2,1]=>[1,2,6,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,1,5,5]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,5,1,5]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,5,5,1]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,1,1,5]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,1,5,1]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,5,1,1]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,1,2,5]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,1,5,2]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,2,1,5]=>[1,3,5,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,2,5,1]=>[1,3,6,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,5,1,2]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,5,2,1]=>[1,3,6,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,1,1,5]=>[1,4,5,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,1,5,1]=>[1,4,6,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,5,1,1]=>[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,1,1,2]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,1,2,1]=>[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,2,1,1]=>[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,1,5,5]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,5,1,5]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,5,5,1]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,1,1,5]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,1,5,1]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,5,1,1]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,1,1,5]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,1,5,1]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,5,1,1]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,5,1,1,1]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[5,1,1,1,2,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,1,5,2]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,2,1,5]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,2,5,1]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,5,1,2]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,5,2,1]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,1,1,5]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,1,5,1]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,5,1,1]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,1,1,2]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,1,2,1]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,2,1,1]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,1,1,5]=>[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,1,5,1]=>[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,5,1,1]=>[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,5,1,1,1]=>[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,5,1,1,1,2]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,1,1,2,1]=>[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,1,2,1,1]=>[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,2,1,1,1]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[1,1,1,2,5,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,2,6,5]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,5,2,6]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,5,6,2]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,6,2,5]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,6,5,2]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,1,5,6]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,1,6,5]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,5,1,6]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,5,6,1]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,6,1,5]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,6,5,1]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,1,2,6]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,1,6,2]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,2,1,6]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,2,6,1]=>[1,2,6,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,6,1,2]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,6,2,1]=>[1,2,6,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,1,2,5]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,1,5,2]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,2,1,5]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,2,5,1]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,5,1,2]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,5,2,1]=>[1,2,6,5,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,1,5,6]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,1,6,5]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,5,1,6]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,5,6,1]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,6,1,5]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,6,5,1]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,1,1,6]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,1,6,1]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,6,1,1]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,1,1,5]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,1,5,1]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,5,1,1]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,1,2,6]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,1,6,2]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,2,1,6]=>[1,3,5,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,2,6,1]=>[1,3,6,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,6,1,2]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,6,2,1]=>[1,3,6,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,1,1,6]=>[1,4,5,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,1,6,1]=>[1,4,6,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,6,1,1]=>[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,6,1,1,2]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,6,1,2,1]=>[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,6,2,1,1]=>[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,1,2,5]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,1,5,2]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,2,1,5]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,2,5,1]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,5,1,2]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,5,2,1]=>[1,3,6,5,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,1,1,5]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,1,5,1]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,5,1,1]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,5,1,1,2]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,5,1,2,1]=>[1,4,6,5,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,5,2,1,1]=>[1,5,6,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,1,5,6]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,1,6,5]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,5,1,6]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,5,6,1]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,6,1,5]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,6,5,1]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,1,1,6]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,1,6,1]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,6,1,1]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,1,1,5]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,1,5,1]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,5,1,1]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,1,1,6]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,1,6,1]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,6,1,1]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,6,1,1,1]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,1,1,1,5]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,1,5,1]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,5,1,1]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,5,1,1,1]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[5,1,1,1,2,6]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,1,6,2]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,2,1,6]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,2,6,1]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,6,1,2]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,6,2,1]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,1,1,6]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,1,6,1]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,6,1,1]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,1,1,2]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,1,2,1]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,2,1,1]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,1,1,6]=>[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,1,6,1]=>[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,6,1,1]=>[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,6,1,1,1]=>[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,6,1,1,1,2]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,1,1,2,1]=>[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,1,2,1,1]=>[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,2,1,1,1]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[6,1,1,1,2,5]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,1,5,2]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,2,1,5]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,2,5,1]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,5,1,2]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,5,2,1]=>[2,3,6,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,1,1,5]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,1,5,1]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,5,1,1]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,1,1,2]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,1,2,1]=>[2,4,6,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,2,1,1]=>[2,5,6,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,1,1,1,5]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,1,5,1]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,5,1,1]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,5,1,1,1]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,5,1,1,1,2]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,1,1,2,1]=>[3,4,6,5,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,1,2,1,1]=>[3,5,6,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,2,1,1,1]=>[4,5,6,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[1,1,1,3,3,3]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,1,3,3]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,3,1,3]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,3,3,1]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,1,3,3]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,3,1,3]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,3,3,1]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,1,1,3]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,1,3,1]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,3,1,1]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[3,1,1,1,3,3]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,3,1,3]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,3,3,1]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,1,1,3]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,1,3,1]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,3,1,1]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,3,1,1,1,3]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,1,3,1]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,3,1,1]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,3,1,1,1]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[1,1,1,3,3,4]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,3,4,3]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,4,3,3]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,1,3,4]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,1,4,3]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,3,1,4]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,3,4,1]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,4,1,3]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,4,3,1]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,1,3,3]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,3,1,3]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,3,3,1]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,1,3,4]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,1,4,3]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,3,1,4]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,3,4,1]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,4,1,3]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,4,3,1]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,1,1,4]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,1,4,1]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,4,1,1]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,1,1,3]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,1,3,1]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,3,1,1]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,1,3,3]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,3,1,3]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,3,3,1]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,1,1,3]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,1,3,1]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,3,1,1]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[3,1,1,1,3,4]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,1,4,3]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,3,1,4]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,3,4,1]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,4,1,3]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,4,3,1]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,1,1,4]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,1,4,1]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,4,1,1]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,1,1,3]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,1,3,1]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,3,1,1]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,3,1,1,1,4]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,1,4,1]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,4,1,1]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,4,1,1,1]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,1,1,1,3]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,1,3,1]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,3,1,1]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,3,1,1,1]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,1,1,3,3]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,3,1,3]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,3,3,1]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,1,1,3]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,1,3,1]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,3,1,1]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,1,1,1,3]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,1,3,1]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,3,1,1]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,3,1,1,1]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[1,1,1,3,3,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,3,5,3]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,5,3,3]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,1,3,5]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,1,5,3]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,3,1,5]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,3,5,1]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,5,1,3]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,5,3,1]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,1,3,3]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,3,1,3]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,3,3,1]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,1,3,5]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,1,5,3]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,3,1,5]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,3,5,1]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,5,1,3]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,5,3,1]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,1,1,5]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,1,5,1]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,5,1,1]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,1,1,3]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,1,3,1]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,3,1,1]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,1,3,3]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,3,1,3]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,3,3,1]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,1,1,3]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,1,3,1]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,3,1,1]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[3,1,1,1,3,5]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,1,5,3]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,3,1,5]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,3,5,1]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,5,1,3]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,5,3,1]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,1,1,5]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,1,5,1]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,5,1,1]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,1,1,3]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,1,3,1]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,3,1,1]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,3,1,1,1,5]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,1,5,1]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,5,1,1]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,5,1,1,1]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,1,1,1,3]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,1,3,1]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,3,1,1]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,3,1,1,1]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[5,1,1,1,3,3]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,3,1,3]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,3,3,1]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,1,1,3]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,1,3,1]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,3,1,1]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,1,1,1,3]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,1,3,1]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,3,1,1]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,3,1,1,1]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[1,1,1,3,3,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,3,6,3]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,6,3,3]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,1,3,6]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,1,6,3]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,3,1,6]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,3,6,1]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,6,1,3]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,6,3,1]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,1,3,3]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,3,1,3]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,3,3,1]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,1,3,6]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,1,6,3]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,3,1,6]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,3,6,1]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,6,1,3]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,6,3,1]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,1,1,6]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,1,6,1]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,6,1,1]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,1,1,3]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,1,3,1]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,3,1,1]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,1,3,3]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,3,1,3]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,3,3,1]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,1,1,3]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,1,3,1]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,3,1,1]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[3,1,1,1,3,6]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,1,6,3]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,3,1,6]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,3,6,1]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,6,1,3]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,6,3,1]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,1,1,6]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,1,6,1]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,6,1,1]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,1,1,3]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,1,3,1]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,3,1,1]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,3,1,1,1,6]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,1,6,1]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,6,1,1]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,6,1,1,1]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,1,1,1,3]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,1,3,1]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,3,1,1]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,3,1,1,1]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[6,1,1,1,3,3]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,3,1,3]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,3,3,1]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,1,1,3]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,1,3,1]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,3,1,1]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,3,1,1,1,3]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,1,3,1]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,3,1,1]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,3,1,1,1]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[1,1,1,3,4,4]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,4,3,4]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,4,4,3]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,1,4,4]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,4,1,4]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,4,4,1]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,1,3,4]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,1,4,3]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,3,1,4]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,3,4,1]=>[1,2,6,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,4,1,3]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,4,3,1]=>[1,2,6,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,1,4,4]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,4,1,4]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,4,4,1]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,1,1,4]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,1,4,1]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,4,1,1]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,1,3,4]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,1,4,3]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,3,1,4]=>[1,3,5,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,3,4,1]=>[1,3,6,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,4,1,3]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,4,3,1]=>[1,3,6,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,1,1,4]=>[1,4,5,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,1,4,1]=>[1,4,6,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,4,1,1]=>[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,1,1,3]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,1,3,1]=>[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,3,1,1]=>[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[3,1,1,1,4,4]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,4,1,4]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,4,4,1]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,1,1,4]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,1,4,1]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,4,1,1]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,1,1,1,4]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,1,4,1]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,4,1,1]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,4,1,1,1]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,1,1,3,4]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,1,4,3]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,3,1,4]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,3,4,1]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,4,1,3]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,4,3,1]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,1,1,4]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,1,4,1]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,4,1,1]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,1,1,3]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,1,3,1]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,3,1,1]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,1,1,1,4]=>[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,1,4,1]=>[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,4,1,1]=>[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,4,1,1,1]=>[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,4,1,1,1,3]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,1,3,1]=>[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,3,1,1]=>[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,3,1,1,1]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[1,1,1,3,4,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,3,5,4]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,4,3,5]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,4,5,3]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,5,3,4]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,5,4,3]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,1,4,5]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,1,5,4]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,4,1,5]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,4,5,1]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,5,1,4]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,5,4,1]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,1,3,5]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,1,5,3]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,3,1,5]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,3,5,1]=>[1,2,6,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,5,1,3]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,5,3,1]=>[1,2,6,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,1,3,4]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,1,4,3]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,3,1,4]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,3,4,1]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,4,1,3]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,4,3,1]=>[1,2,6,5,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,1,4,5]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,1,5,4]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,4,1,5]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,4,5,1]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,5,1,4]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,5,4,1]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,1,1,5]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,1,5,1]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,5,1,1]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,1,1,4]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,1,4,1]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,4,1,1]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,1,3,5]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,1,5,3]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,3,1,5]=>[1,3,5,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,3,5,1]=>[1,3,6,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,5,1,3]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,5,3,1]=>[1,3,6,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,1,1,5]=>[1,4,5,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,1,5,1]=>[1,4,6,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,5,1,1]=>[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,1,1,3]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,1,3,1]=>[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,3,1,1]=>[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,1,3,4]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,1,4,3]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,3,1,4]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,3,4,1]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,4,1,3]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,4,3,1]=>[1,3,6,5,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,1,1,4]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,1,4,1]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,4,1,1]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,1,1,3]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,1,3,1]=>[1,4,6,5,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,3,1,1]=>[1,5,6,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[3,1,1,1,4,5]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,1,5,4]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,4,1,5]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,4,5,1]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,5,1,4]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,5,4,1]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,1,1,5]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,1,5,1]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,5,1,1]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,1,1,4]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,1,4,1]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,4,1,1]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,1,1,1,5]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,1,5,1]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,5,1,1]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,5,1,1,1]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,1,1,1,4]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,1,4,1]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,4,1,1]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,4,1,1,1]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,1,1,3,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,1,5,3]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,3,1,5]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,3,5,1]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,5,1,3]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,5,3,1]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,1,1,5]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,1,5,1]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,5,1,1]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,1,1,3]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,1,3,1]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,3,1,1]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,1,1,1,5]=>[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,1,5,1]=>[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,5,1,1]=>[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,5,1,1,1]=>[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,5,1,1,1,3]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,1,3,1]=>[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,3,1,1]=>[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,3,1,1,1]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,1,1,1,3,4]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,1,4,3]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,3,1,4]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,3,4,1]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,4,1,3]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,4,3,1]=>[2,3,6,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,1,1,4]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,1,4,1]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,4,1,1]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,1,1,3]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,1,3,1]=>[2,4,6,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,3,1,1]=>[2,5,6,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,1,1,1,4]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,1,4,1]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,4,1,1]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,4,1,1,1]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,4,1,1,1,3]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,1,3,1]=>[3,4,6,5,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,3,1,1]=>[3,5,6,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,3,1,1,1]=>[4,5,6,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[1,1,1,3,4,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,3,6,4]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,4,3,6]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,4,6,3]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,6,3,4]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,6,4,3]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,1,4,6]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,1,6,4]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,4,1,6]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,4,6,1]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,6,1,4]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,6,4,1]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,1,3,6]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,1,6,3]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,3,1,6]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,3,6,1]=>[1,2,6,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,6,1,3]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,6,3,1]=>[1,2,6,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,1,3,4]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,1,4,3]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,3,1,4]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,3,4,1]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,4,1,3]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,4,3,1]=>[1,2,6,5,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,1,4,6]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,1,6,4]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,4,1,6]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,4,6,1]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,6,1,4]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,6,4,1]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,1,1,6]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,1,6,1]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,6,1,1]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,1,1,4]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,1,4,1]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,4,1,1]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,1,3,6]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,1,6,3]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,3,1,6]=>[1,3,5,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,3,6,1]=>[1,3,6,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,6,1,3]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,6,3,1]=>[1,3,6,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,1,1,6]=>[1,4,5,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,1,6,1]=>[1,4,6,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,6,1,1]=>[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,1,1,3]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,1,3,1]=>[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,3,1,1]=>[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,1,3,4]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,1,4,3]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,3,1,4]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,3,4,1]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,4,1,3]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,4,3,1]=>[1,3,6,5,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,1,1,4]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,1,4,1]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,4,1,1]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,1,1,3]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,1,3,1]=>[1,4,6,5,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,3,1,1]=>[1,5,6,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[3,1,1,1,4,6]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,1,6,4]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,4,1,6]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,4,6,1]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,6,1,4]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,6,4,1]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,1,1,6]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,1,6,1]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,6,1,1]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,1,1,4]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,1,4,1]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,4,1,1]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,1,1,1,6]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,1,6,1]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,6,1,1]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,6,1,1,1]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,1,1,1,4]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,1,4,1]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,4,1,1]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,4,1,1,1]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,1,1,1,3,6]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,1,6,3]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,3,1,6]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,3,6,1]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,6,1,3]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,6,3,1]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,1,1,6]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,1,6,1]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,6,1,1]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,1,1,3]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,1,3,1]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,3,1,1]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,1,1,1,6]=>[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,1,6,1]=>[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,6,1,1]=>[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,6,1,1,1]=>[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,6,1,1,1,3]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,1,3,1]=>[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,3,1,1]=>[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,3,1,1,1]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[6,1,1,1,3,4]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,1,4,3]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,3,1,4]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,3,4,1]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,4,1,3]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,4,3,1]=>[2,3,6,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,1,1,4]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,1,4,1]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,4,1,1]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,1,1,3]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,1,3,1]=>[2,4,6,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,3,1,1]=>[2,5,6,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,3,1,1,1,4]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,1,4,1]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,4,1,1]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,4,1,1,1]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,4,1,1,1,3]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,1,3,1]=>[3,4,6,5,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,3,1,1]=>[3,5,6,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,3,1,1,1]=>[4,5,6,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[1,1,1,3,5,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,5,3,5]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,5,5,3]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,1,5,5]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,5,1,5]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,5,5,1]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,1,3,5]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,1,5,3]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,3,1,5]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,3,5,1]=>[1,2,6,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,5,1,3]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,5,3,1]=>[1,2,6,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,1,5,5]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,5,1,5]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,5,5,1]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,1,1,5]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,1,5,1]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,5,1,1]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,1,3,5]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,1,5,3]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,3,1,5]=>[1,3,5,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,3,5,1]=>[1,3,6,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,5,1,3]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,5,3,1]=>[1,3,6,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,1,1,5]=>[1,4,5,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,1,5,1]=>[1,4,6,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,5,1,1]=>[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,1,1,3]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,1,3,1]=>[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,3,1,1]=>[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[3,1,1,1,5,5]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,5,1,5]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,5,5,1]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,1,1,5]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,1,5,1]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,5,1,1]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,5,1,1,1,5]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,1,5,1]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,5,1,1]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,5,1,1,1]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[5,1,1,1,3,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,1,5,3]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,3,1,5]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,3,5,1]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,5,1,3]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,5,3,1]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,1,1,5]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,1,5,1]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,5,1,1]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,1,1,3]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,1,3,1]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,3,1,1]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,1,1,1,5]=>[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,1,5,1]=>[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,5,1,1]=>[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,5,1,1,1]=>[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,5,1,1,1,3]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,1,1,3,1]=>[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,1,3,1,1]=>[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,3,1,1,1]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[1,1,1,3,5,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,3,6,5]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,5,3,6]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,5,6,3]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,6,3,5]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,6,5,3]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,1,5,6]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,1,6,5]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,5,1,6]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,5,6,1]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,6,1,5]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,6,5,1]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,1,3,6]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,1,6,3]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,3,1,6]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,3,6,1]=>[1,2,6,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,6,1,3]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,6,3,1]=>[1,2,6,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,1,3,5]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,1,5,3]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,3,1,5]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,3,5,1]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,5,1,3]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,5,3,1]=>[1,2,6,5,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,1,5,6]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,1,6,5]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,5,1,6]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,5,6,1]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,6,1,5]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,6,5,1]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,1,1,6]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,1,6,1]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,6,1,1]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,1,1,5]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,1,5,1]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,5,1,1]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,1,3,6]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,1,6,3]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,3,1,6]=>[1,3,5,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,3,6,1]=>[1,3,6,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,6,1,3]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,6,3,1]=>[1,3,6,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,1,1,6]=>[1,4,5,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,1,6,1]=>[1,4,6,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,6,1,1]=>[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,6,1,1,3]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,6,1,3,1]=>[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,6,3,1,1]=>[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,1,3,5]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,1,5,3]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,3,1,5]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,3,5,1]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,5,1,3]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,5,3,1]=>[1,3,6,5,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,1,1,5]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,1,5,1]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,5,1,1]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,5,1,1,3]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,5,1,3,1]=>[1,4,6,5,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,5,3,1,1]=>[1,5,6,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[3,1,1,1,5,6]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,1,6,5]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,5,1,6]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,5,6,1]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,6,1,5]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,6,5,1]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,1,1,6]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,1,6,1]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,6,1,1]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,1,1,5]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,1,5,1]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,5,1,1]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,5,1,1,1,6]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,1,6,1]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,6,1,1]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,6,1,1,1]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,1,1,1,5]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,1,5,1]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,5,1,1]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,5,1,1,1]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[5,1,1,1,3,6]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,1,6,3]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,3,1,6]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,3,6,1]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,6,1,3]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,6,3,1]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,1,1,6]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,1,6,1]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,6,1,1]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,1,1,3]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,1,3,1]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,3,1,1]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,1,1,1,6]=>[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,1,6,1]=>[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,6,1,1]=>[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,6,1,1,1]=>[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,6,1,1,1,3]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,1,1,3,1]=>[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,1,3,1,1]=>[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,3,1,1,1]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[6,1,1,1,3,5]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,1,5,3]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,3,1,5]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,3,5,1]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,5,1,3]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,5,3,1]=>[2,3,6,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,1,1,5]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,1,5,1]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,5,1,1]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,1,1,3]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,1,3,1]=>[2,4,6,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,3,1,1]=>[2,5,6,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,3,1,1,1,5]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,1,5,1]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,5,1,1]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,5,1,1,1]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,5,1,1,1,3]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,1,1,3,1]=>[3,4,6,5,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,1,3,1,1]=>[3,5,6,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,3,1,1,1]=>[4,5,6,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[1,1,1,4,4,4]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,1,4,4]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,4,1,4]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,4,4,1]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,1,4,4]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,4,1,4]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,4,4,1]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,1,1,4]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,1,4,1]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,4,1,1]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[4,1,1,1,4,4]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,4,1,4]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,4,4,1]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,1,1,4]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,1,4,1]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,4,1,1]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,4,1,1,1,4]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,1,4,1]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,4,1,1]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,4,1,1,1]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[1,1,1,4,4,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,4,5,4]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,5,4,4]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,1,4,5]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,1,5,4]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,4,1,5]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,4,5,1]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,5,1,4]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,5,4,1]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,1,4,4]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,4,1,4]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,4,4,1]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,1,4,5]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,1,5,4]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,4,1,5]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,4,5,1]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,5,1,4]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,5,4,1]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,1,1,5]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,1,5,1]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,5,1,1]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,1,1,4]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,1,4,1]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,4,1,1]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,1,4,4]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,4,1,4]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,4,4,1]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,1,1,4]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,1,4,1]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,4,1,1]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[4,1,1,1,4,5]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,1,5,4]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,4,1,5]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,4,5,1]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,5,1,4]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,5,4,1]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,1,1,5]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,1,5,1]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,5,1,1]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,1,1,4]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,1,4,1]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,4,1,1]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,4,1,1,1,5]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,1,5,1]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,5,1,1]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,5,1,1,1]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,1,1,1,4]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,1,4,1]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,4,1,1]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,4,1,1,1]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[5,1,1,1,4,4]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,4,1,4]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,4,4,1]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,1,1,4]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,1,4,1]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,4,1,1]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,4,1,1,1,4]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,1,4,1]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,4,1,1]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,4,1,1,1]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[1,1,1,4,4,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,4,6,4]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,6,4,4]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,1,4,6]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,1,6,4]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,4,1,6]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,4,6,1]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,6,1,4]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,6,4,1]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,1,4,4]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,4,1,4]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,4,4,1]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,1,4,6]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,1,6,4]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,4,1,6]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,4,6,1]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,6,1,4]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,6,4,1]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,1,1,6]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,1,6,1]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,6,1,1]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,1,1,4]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,1,4,1]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,4,1,1]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,1,4,4]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,4,1,4]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,4,4,1]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,1,1,4]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,1,4,1]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,4,1,1]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[4,1,1,1,4,6]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,1,6,4]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,4,1,6]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,4,6,1]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,6,1,4]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,6,4,1]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,1,1,6]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,1,6,1]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,6,1,1]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,1,1,4]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,1,4,1]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,4,1,1]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,4,1,1,1,6]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,1,6,1]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,6,1,1]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,6,1,1,1]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,1,1,4]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,1,4,1]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,4,1,1]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,4,1,1,1]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[6,1,1,1,4,4]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,4,1,4]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,4,4,1]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,1,1,4]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,1,4,1]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,4,1,1]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,4,1,1,1,4]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,1,4,1]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,4,1,1]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,4,1,1,1]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[1,1,1,4,5,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,5,4,5]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,5,5,4]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,1,5,5]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,5,1,5]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,5,5,1]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,1,4,5]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,1,5,4]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,4,1,5]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,4,5,1]=>[1,2,6,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,5,1,4]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,5,4,1]=>[1,2,6,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,1,5,5]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,5,1,5]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,5,5,1]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,1,1,5]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,1,5,1]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,5,1,1]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,1,4,5]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,1,5,4]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,4,1,5]=>[1,3,5,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,4,5,1]=>[1,3,6,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,5,1,4]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,5,4,1]=>[1,3,6,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,1,1,5]=>[1,4,5,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,1,5,1]=>[1,4,6,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,5,1,1]=>[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,1,1,4]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,1,4,1]=>[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,4,1,1]=>[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[4,1,1,1,5,5]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,5,1,5]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,5,5,1]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,1,1,5]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,1,5,1]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,5,1,1]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,5,1,1,1,5]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,1,5,1]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,5,1,1]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,5,1,1,1]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[5,1,1,1,4,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,1,5,4]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,4,1,5]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,4,5,1]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,5,1,4]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,5,4,1]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,1,1,5]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,1,5,1]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,5,1,1]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,1,1,4]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,1,4,1]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,4,1,1]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,4,1,1,1,5]=>[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,1,5,1]=>[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,5,1,1]=>[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,5,1,1,1]=>[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,5,1,1,1,4]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,1,1,4,1]=>[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,1,4,1,1]=>[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,4,1,1,1]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[1,1,1,4,5,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,4,6,5]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,5,4,6]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,5,6,4]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,6,4,5]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,1,6,5,4]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,1,5,6]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,1,6,5]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,5,1,6]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,5,6,1]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,6,1,5]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,6,5,1]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,1,4,6]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,1,6,4]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,4,1,6]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,4,6,1]=>[1,2,6,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,6,1,4]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,6,4,1]=>[1,2,6,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,1,4,5]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,1,5,4]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,4,1,5]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,4,5,1]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,5,1,4]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,5,4,1]=>[1,2,6,5,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,1,5,6]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,1,6,5]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,5,1,6]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,5,6,1]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,6,1,5]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,6,5,1]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,1,1,6]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,1,6,1]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,6,1,1]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,1,1,5]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,1,5,1]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,5,1,1]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,1,4,6]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,1,6,4]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,4,1,6]=>[1,3,5,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,4,6,1]=>[1,3,6,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,6,1,4]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,6,4,1]=>[1,3,6,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,1,1,6]=>[1,4,5,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,1,6,1]=>[1,4,6,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,6,1,1]=>[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,6,1,1,4]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,6,1,4,1]=>[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,6,4,1,1]=>[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,1,4,5]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,1,5,4]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,4,1,5]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,4,5,1]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,5,1,4]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,5,4,1]=>[1,3,6,5,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,1,1,5]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,1,5,1]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,5,1,1]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,5,1,1,4]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,5,1,4,1]=>[1,4,6,5,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,5,4,1,1]=>[1,5,6,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[4,1,1,1,5,6]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,1,6,5]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,5,1,6]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,5,6,1]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,6,1,5]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,6,5,1]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,1,1,6]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,1,6,1]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,6,1,1]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,1,1,5]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,1,5,1]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,5,1,1]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,5,1,1,1,6]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,1,6,1]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,6,1,1]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,6,1,1,1]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,1,1,1,5]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,1,5,1]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,5,1,1]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,5,1,1,1]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[5,1,1,1,4,6]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,1,6,4]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,4,1,6]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,4,6,1]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,6,1,4]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,6,4,1]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,1,1,6]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,1,6,1]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,6,1,1]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,1,1,4]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,1,4,1]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,4,1,1]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,4,1,1,1,6]=>[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,1,6,1]=>[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,6,1,1]=>[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,6,1,1,1]=>[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,6,1,1,1,4]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,1,1,4,1]=>[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,1,4,1,1]=>[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,4,1,1,1]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[6,1,1,1,4,5]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,1,5,4]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,4,1,5]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,4,5,1]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,5,1,4]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,5,4,1]=>[2,3,6,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,1,1,5]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,1,5,1]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,5,1,1]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,1,1,4]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,1,4,1]=>[2,4,6,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,4,1,1]=>[2,5,6,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,4,1,1,1,5]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,1,5,1]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,5,1,1]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,5,1,1,1]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,5,1,1,1,4]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,1,1,4,1]=>[3,4,6,5,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,1,4,1,1]=>[3,5,6,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,4,1,1,1]=>[4,5,6,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[1,1,2,2,2,2]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,2,2,2]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,1,2,2]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,2,1,2]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,2,2,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,2,2,2]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,1,2,2]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,2,1,2]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,2,2,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,1,2,2]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,2,1,2]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,2,2,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,2,1,1,2]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,2,1,2,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,2,2,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[1,1,2,2,2,3]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,2,3,2]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,3,2,2]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,2,2,2]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,2,2,3]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,2,3,2]=>[1,3,2,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,3,2,2]=>[1,3,2,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,1,2,3]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,1,3,2]=>[1,4,2,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,2,1,3]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,2,3,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,3,1,2]=>[1,5,2,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,3,2,1]=>[1,6,2,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,1,2,2]=>[1,4,2,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,2,1,2]=>[1,5,2,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,2,2,1]=>[1,6,2,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,2,2,2]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,1,2,2]=>[1,4,3,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,2,1,2]=>[1,5,3,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,2,2,1]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,2,2,3]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,2,3,2]=>[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,3,2,2]=>[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,1,2,3]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,1,3,2]=>[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,2,1,3]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,2,3,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,3,1,2]=>[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,3,2,1]=>[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,1,2,2]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,2,1,2]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,2,2,1]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,1,2,3]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,1,3,2]=>[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,2,1,3]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,2,3,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,3,1,2]=>[3,5,1,2,6,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,3,2,1]=>[3,6,1,2,5,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,2,1,1,3]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,2,1,3,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,2,3,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,3,1,1,2]=>[4,5,1,2,6,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,3,1,2,1]=>[4,6,1,2,5,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,3,2,1,1]=>[5,6,1,2,4,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,1,1,2,2]=>[3,4,1,5,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,2,1,2]=>[3,5,1,4,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,2,2,1]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,2,1,1,2]=>[4,5,1,3,6,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,2,1,2,1]=>[4,6,1,3,5,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,2,2,1,1]=>[5,6,1,3,4,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,1,1,2,2,2]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,1,2,2]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,2,1,2]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,2,2,1]=>[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,1,2,2]=>[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,2,1,2]=>[3,5,2,4,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,2,2,1]=>[3,6,2,4,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,2,1,1,2]=>[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,2,1,2,1]=>[4,6,2,3,5,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,2,2,1,1]=>[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[1,1,2,2,2,4]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,2,4,2]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,4,2,2]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,2,2,2]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,2,2,4]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,2,4,2]=>[1,3,2,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,4,2,2]=>[1,3,2,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,1,2,4]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,1,4,2]=>[1,4,2,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,2,1,4]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,2,4,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,4,1,2]=>[1,5,2,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,4,2,1]=>[1,6,2,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,1,2,2]=>[1,4,2,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,2,1,2]=>[1,5,2,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,2,2,1]=>[1,6,2,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,2,2,2]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,1,2,2]=>[1,4,3,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,2,1,2]=>[1,5,3,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,2,2,1]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,2,2,4]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,2,4,2]=>[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,4,2,2]=>[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,1,2,4]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,1,4,2]=>[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,2,1,4]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,2,4,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,4,1,2]=>[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,4,2,1]=>[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,1,2,2]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,2,1,2]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,2,2,1]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,1,2,4]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,1,4,2]=>[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,2,1,4]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,2,4,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,4,1,2]=>[3,5,1,2,6,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,4,2,1]=>[3,6,1,2,5,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,2,1,1,4]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,2,1,4,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,2,4,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,4,1,1,2]=>[4,5,1,2,6,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,4,1,2,1]=>[4,6,1,2,5,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,4,2,1,1]=>[5,6,1,2,4,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,1,1,2,2]=>[3,4,1,5,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,2,1,2]=>[3,5,1,4,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,2,2,1]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,2,1,1,2]=>[4,5,1,3,6,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,2,1,2,1]=>[4,6,1,3,5,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,2,2,1,1]=>[5,6,1,3,4,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[4,1,1,2,2,2]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,1,2,2]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,2,1,2]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,2,2,1]=>[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,1,2,2]=>[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,2,1,2]=>[3,5,2,4,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,2,2,1]=>[3,6,2,4,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,2,1,1,2]=>[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,2,1,2,1]=>[4,6,2,3,5,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,2,2,1,1]=>[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[1,1,2,2,2,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,2,5,2]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,5,2,2]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,2,2,2]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,2,2,5]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,2,5,2]=>[1,3,2,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,5,2,2]=>[1,3,2,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,1,2,5]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,1,5,2]=>[1,4,2,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,2,1,5]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,2,5,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,5,1,2]=>[1,5,2,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,5,2,1]=>[1,6,2,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,1,2,2]=>[1,4,2,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,2,1,2]=>[1,5,2,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,2,2,1]=>[1,6,2,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,2,2,2]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,1,2,2]=>[1,4,3,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,2,1,2]=>[1,5,3,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,2,2,1]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,2,2,5]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,2,5,2]=>[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,5,2,2]=>[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,1,2,5]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,1,5,2]=>[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,2,1,5]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,2,5,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,5,1,2]=>[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,5,2,1]=>[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,1,2,2]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,2,1,2]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,2,2,1]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,1,2,5]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,1,5,2]=>[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,2,1,5]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,2,5,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,5,1,2]=>[3,5,1,2,6,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,5,2,1]=>[3,6,1,2,5,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,2,1,1,5]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,2,1,5,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,2,5,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,5,1,1,2]=>[4,5,1,2,6,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,5,1,2,1]=>[4,6,1,2,5,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,5,2,1,1]=>[5,6,1,2,4,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,1,1,2,2]=>[3,4,1,5,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,2,1,2]=>[3,5,1,4,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,2,2,1]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,2,1,1,2]=>[4,5,1,3,6,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,2,1,2,1]=>[4,6,1,3,5,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,2,2,1,1]=>[5,6,1,3,4,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,1,2,2,2]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,1,2,2]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,2,1,2]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,2,2,1]=>[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,1,2,2]=>[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,2,1,2]=>[3,5,2,4,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,2,2,1]=>[3,6,2,4,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,2,1,1,2]=>[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,2,1,2,1]=>[4,6,2,3,5,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,2,2,1,1]=>[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[1,1,2,2,2,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,2,6,2]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,6,2,2]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,2,2,2]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,2,2,6]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,2,6,2]=>[1,3,2,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,6,2,2]=>[1,3,2,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,1,2,6]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,1,6,2]=>[1,4,2,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,2,1,6]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,2,6,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,6,1,2]=>[1,5,2,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,6,2,1]=>[1,6,2,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,1,2,2]=>[1,4,2,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,2,1,2]=>[1,5,2,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,2,2,1]=>[1,6,2,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,2,2,2]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,1,2,2]=>[1,4,3,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,2,1,2]=>[1,5,3,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,2,2,1]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,2,2,6]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,2,6,2]=>[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,6,2,2]=>[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,1,2,6]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,1,6,2]=>[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,2,1,6]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,2,6,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,6,1,2]=>[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,6,2,1]=>[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,1,2,2]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,2,1,2]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,2,2,1]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,1,2,6]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,1,6,2]=>[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,2,1,6]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,2,6,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,6,1,2]=>[3,5,1,2,6,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,6,2,1]=>[3,6,1,2,5,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,2,1,1,6]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,2,1,6,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,2,6,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,6,1,1,2]=>[4,5,1,2,6,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,6,1,2,1]=>[4,6,1,2,5,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,6,2,1,1]=>[5,6,1,2,4,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,1,1,2,2]=>[3,4,1,5,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,2,1,2]=>[3,5,1,4,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,2,2,1]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,2,1,1,2]=>[4,5,1,3,6,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,2,1,2,1]=>[4,6,1,3,5,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,2,2,1,1]=>[5,6,1,3,4,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[6,1,1,2,2,2]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,1,2,2]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,2,1,2]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,2,2,1]=>[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,1,1,2,2]=>[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,2,1,2]=>[3,5,2,4,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,2,2,1]=>[3,6,2,4,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,2,1,1,2]=>[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,2,1,2,1]=>[4,6,2,3,5,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,2,2,1,1]=>[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[1,1,2,2,3,3]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,3,2,3]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,3,3,2]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,2,2,3]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,2,3,2]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,3,2,2]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,2,3,3]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,3,2,3]=>[1,3,2,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,3,3,2]=>[1,3,2,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,1,3,3]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,3,1,3]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,3,3,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,1,2,3]=>[1,4,2,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,1,3,2]=>[1,4,2,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,2,1,3]=>[1,5,2,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,2,3,1]=>[1,6,2,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,3,1,2]=>[1,5,2,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,3,2,1]=>[1,6,2,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,2,2,3]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,2,3,2]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,3,2,2]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,1,2,3]=>[1,4,3,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,1,3,2]=>[1,4,3,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,2,1,3]=>[1,5,3,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,2,3,1]=>[1,6,3,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,3,1,2]=>[1,5,3,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,3,2,1]=>[1,6,3,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,1,2,2]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,2,1,2]=>[1,5,4,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,2,2,1]=>[1,6,4,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,2,3,3]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,3,2,3]=>[2,3,1,5,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,3,3,2]=>[2,3,1,6,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,1,3,3]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,3,1,3]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,3,3,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,1,2,3]=>[2,4,1,5,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,1,3,2]=>[2,4,1,6,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,2,1,3]=>[2,5,1,4,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,2,3,1]=>[2,6,1,4,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,3,1,2]=>[2,5,1,6,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,3,2,1]=>[2,6,1,5,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,1,3,3]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,3,1,3]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,3,3,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,3,1,1,3]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,3,1,3,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,3,3,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,1,1,2,3]=>[3,4,1,5,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,1,3,2]=>[3,4,1,6,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,2,1,3]=>[3,5,1,4,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,2,3,1]=>[3,6,1,4,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,3,1,2]=>[3,5,1,6,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,3,2,1]=>[3,6,1,5,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,2,1,1,3]=>[4,5,1,3,2,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,2,1,3,1]=>[4,6,1,3,2,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,2,3,1,1]=>[5,6,1,3,2,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,3,1,1,2]=>[4,5,1,6,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,3,1,2,1]=>[4,6,1,5,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,3,2,1,1]=>[5,6,1,4,2,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,1,1,2,2,3]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,2,3,2]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,3,2,2]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,1,2,3]=>[2,4,3,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,1,3,2]=>[2,4,3,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,2,1,3]=>[2,5,3,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,2,3,1]=>[2,6,3,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,3,1,2]=>[2,5,3,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,3,2,1]=>[2,6,3,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,1,2,2]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,2,1,2]=>[2,5,4,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,2,2,1]=>[2,6,4,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,1,2,3]=>[3,4,2,5,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,1,3,2]=>[3,4,2,6,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,2,1,3]=>[3,5,2,4,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,2,3,1]=>[3,6,2,4,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,3,1,2]=>[3,5,2,6,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,3,2,1]=>[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,2,1,1,3]=>[4,5,2,3,1,6]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,2,1,3,1]=>[4,6,2,3,1,5]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,2,3,1,1]=>[5,6,2,3,1,4]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,3,1,1,2]=>[4,5,2,6,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,3,1,2,1]=>[4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,3,2,1,1]=>[5,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,3,1,1,2,2]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,2,1,2]=>[3,5,4,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,2,2,1]=>[3,6,4,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,2,1,1,2]=>[4,5,3,6,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,3,2,1,2,1]=>[4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,3,2,2,1,1]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[1,1,2,2,3,4]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,2,4,3]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,3,2,4]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,3,4,2]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,4,2,3]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,4,3,2]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,2,2,4]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,2,4,2]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,4,2,2]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,2,2,3]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,2,3,2]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,3,2,2]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,2,3,4]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,2,4,3]=>[1,3,2,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,3,2,4]=>[1,3,2,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,3,4,2]=>[1,3,2,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,4,2,3]=>[1,3,2,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,4,3,2]=>[1,3,2,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,1,3,4]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,1,4,3]=>[1,4,2,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,3,1,4]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,3,4,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,4,1,3]=>[1,5,2,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,4,3,1]=>[1,6,2,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,1,2,4]=>[1,4,2,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,1,4,2]=>[1,4,2,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,2,1,4]=>[1,5,2,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,2,4,1]=>[1,6,2,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,4,1,2]=>[1,5,2,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,4,2,1]=>[1,6,2,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,1,2,3]=>[1,4,2,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,1,3,2]=>[1,4,2,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,2,1,3]=>[1,5,2,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,2,3,1]=>[1,6,2,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,3,1,2]=>[1,5,2,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,3,2,1]=>[1,6,2,5,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,2,2,4]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,2,4,2]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,4,2,2]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,1,2,4]=>[1,4,3,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,1,4,2]=>[1,4,3,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,2,1,4]=>[1,5,3,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,2,4,1]=>[1,6,3,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,4,1,2]=>[1,5,3,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,4,2,1]=>[1,6,3,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,1,2,2]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,2,1,2]=>[1,5,4,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,2,2,1]=>[1,6,4,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,2,2,3]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,2,3,2]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,3,2,2]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,1,2,3]=>[1,4,3,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,1,3,2]=>[1,4,3,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,2,1,3]=>[1,5,3,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,2,3,1]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,3,1,2]=>[1,5,3,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,3,2,1]=>[1,6,3,5,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,1,2,2]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,2,1,2]=>[1,5,4,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,2,2,1]=>[1,6,4,5,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,2,3,4]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,2,4,3]=>[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,3,2,4]=>[2,3,1,5,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,3,4,2]=>[2,3,1,6,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,4,2,3]=>[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,4,3,2]=>[2,3,1,6,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,1,3,4]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,1,4,3]=>[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,3,1,4]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,3,4,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,4,1,3]=>[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,4,3,1]=>[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,1,2,4]=>[2,4,1,5,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,1,4,2]=>[2,4,1,6,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,2,1,4]=>[2,5,1,4,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,2,4,1]=>[2,6,1,4,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,4,1,2]=>[2,5,1,6,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,4,2,1]=>[2,6,1,5,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,1,2,3]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,1,3,2]=>[2,4,1,6,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,2,1,3]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,2,3,1]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,3,1,2]=>[2,5,1,6,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,3,2,1]=>[2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,1,3,4]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,1,4,3]=>[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,3,1,4]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,3,4,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,4,1,3]=>[3,5,1,2,6,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,4,3,1]=>[3,6,1,2,5,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,3,1,1,4]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,3,1,4,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,3,4,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,4,1,1,3]=>[4,5,1,2,6,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,4,1,3,1]=>[4,6,1,2,5,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,4,3,1,1]=>[5,6,1,2,4,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,1,1,2,4]=>[3,4,1,5,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,1,4,2]=>[3,4,1,6,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,2,1,4]=>[3,5,1,4,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,2,4,1]=>[3,6,1,4,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,4,1,2]=>[3,5,1,6,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,4,2,1]=>[3,6,1,5,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,2,1,1,4]=>[4,5,1,3,2,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,2,1,4,1]=>[4,6,1,3,2,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,2,4,1,1]=>[5,6,1,3,2,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,4,1,1,2]=>[4,5,1,6,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,4,1,2,1]=>[4,6,1,5,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,4,2,1,1]=>[5,6,1,4,2,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,1,1,2,3]=>[3,4,1,5,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,1,3,2]=>[3,4,1,6,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,2,1,3]=>[3,5,1,4,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,2,3,1]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,3,1,2]=>[3,5,1,6,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,3,2,1]=>[3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,2,1,1,3]=>[4,5,1,3,6,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,2,1,3,1]=>[4,6,1,3,5,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,2,3,1,1]=>[5,6,1,3,4,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,3,1,1,2]=>[4,5,1,6,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,3,1,2,1]=>[4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,3,2,1,1]=>[5,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,1,1,2,2,4]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,2,4,2]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,4,2,2]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,1,2,4]=>[2,4,3,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,1,4,2]=>[2,4,3,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,2,1,4]=>[2,5,3,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,2,4,1]=>[2,6,3,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,4,1,2]=>[2,5,3,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,4,2,1]=>[2,6,3,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,1,2,2]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,2,1,2]=>[2,5,4,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,2,2,1]=>[2,6,4,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,1,2,4]=>[3,4,2,5,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,1,4,2]=>[3,4,2,6,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,2,1,4]=>[3,5,2,4,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,2,4,1]=>[3,6,2,4,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,4,1,2]=>[3,5,2,6,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,4,2,1]=>[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,2,1,1,4]=>[4,5,2,3,1,6]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,2,1,4,1]=>[4,6,2,3,1,5]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,2,4,1,1]=>[5,6,2,3,1,4]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,4,1,1,2]=>[4,5,2,6,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,4,1,2,1]=>[4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,4,2,1,1]=>[5,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,4,1,1,2,2]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,2,1,2]=>[3,5,4,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,2,2,1]=>[3,6,4,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,2,1,1,2]=>[4,5,3,6,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,4,2,1,2,1]=>[4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,4,2,2,1,1]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,1,1,2,2,3]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,2,3,2]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,3,2,2]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,1,2,3]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,1,3,2]=>[2,4,3,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,2,1,3]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,2,3,1]=>[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,3,1,2]=>[2,5,3,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,3,2,1]=>[2,6,3,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,1,2,2]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,2,1,2]=>[2,5,4,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,2,2,1]=>[2,6,4,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,1,2,3]=>[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,1,3,2]=>[3,4,2,6,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,2,1,3]=>[3,5,2,4,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,2,3,1]=>[3,6,2,4,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,3,1,2]=>[3,5,2,6,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,3,2,1]=>[3,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,2,1,1,3]=>[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,2,1,3,1]=>[4,6,2,3,5,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,2,3,1,1]=>[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,3,1,1,2]=>[4,5,2,6,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,1,2,1]=>[4,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,2,1,1]=>[5,6,2,4,3,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[4,3,1,1,2,2]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,2,1,2]=>[3,5,4,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,2,2,1]=>[3,6,4,5,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,2,1,1,2]=>[4,5,3,6,2,1]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,1,2,1]=>[4,6,3,5,2,1]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,2,1,1]=>[5,6,3,4,2,1]=>[5,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[1,1,2,2,3,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,2,5,3]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,3,2,5]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,3,5,2]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,5,2,3]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,5,3,2]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,2,2,5]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,2,5,2]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,5,2,2]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,2,2,3]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,2,3,2]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,3,2,2]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,2,3,5]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,2,5,3]=>[1,3,2,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,3,2,5]=>[1,3,2,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,3,5,2]=>[1,3,2,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,5,2,3]=>[1,3,2,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,5,3,2]=>[1,3,2,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,1,3,5]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,1,5,3]=>[1,4,2,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,3,1,5]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,3,5,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,5,1,3]=>[1,5,2,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,5,3,1]=>[1,6,2,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,1,2,5]=>[1,4,2,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,1,5,2]=>[1,4,2,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,2,1,5]=>[1,5,2,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,2,5,1]=>[1,6,2,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,5,1,2]=>[1,5,2,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,5,2,1]=>[1,6,2,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,1,2,3]=>[1,4,2,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,1,3,2]=>[1,4,2,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,2,1,3]=>[1,5,2,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,2,3,1]=>[1,6,2,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,3,1,2]=>[1,5,2,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,3,2,1]=>[1,6,2,5,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,2,2,5]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,2,5,2]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,5,2,2]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,1,2,5]=>[1,4,3,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,1,5,2]=>[1,4,3,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,2,1,5]=>[1,5,3,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,2,5,1]=>[1,6,3,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,5,1,2]=>[1,5,3,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,5,2,1]=>[1,6,3,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,1,2,2]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,2,1,2]=>[1,5,4,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,2,2,1]=>[1,6,4,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,2,2,3]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,2,3,2]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,3,2,2]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,1,2,3]=>[1,4,3,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,1,3,2]=>[1,4,3,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,2,1,3]=>[1,5,3,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,2,3,1]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,3,1,2]=>[1,5,3,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,3,2,1]=>[1,6,3,5,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,1,2,2]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,2,1,2]=>[1,5,4,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,2,2,1]=>[1,6,4,5,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,2,3,5]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,2,5,3]=>[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,3,2,5]=>[2,3,1,5,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,3,5,2]=>[2,3,1,6,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,5,2,3]=>[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,5,3,2]=>[2,3,1,6,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,1,3,5]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,1,5,3]=>[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,3,1,5]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,3,5,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,5,1,3]=>[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,5,3,1]=>[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,1,2,5]=>[2,4,1,5,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,1,5,2]=>[2,4,1,6,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,2,1,5]=>[2,5,1,4,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,2,5,1]=>[2,6,1,4,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,5,1,2]=>[2,5,1,6,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,5,2,1]=>[2,6,1,5,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,1,2,3]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,1,3,2]=>[2,4,1,6,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,2,1,3]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,2,3,1]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,3,1,2]=>[2,5,1,6,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,3,2,1]=>[2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,1,3,5]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,1,5,3]=>[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,3,1,5]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,3,5,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,5,1,3]=>[3,5,1,2,6,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,5,3,1]=>[3,6,1,2,5,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,3,1,1,5]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,3,1,5,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,3,5,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,5,1,1,3]=>[4,5,1,2,6,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,5,1,3,1]=>[4,6,1,2,5,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,5,3,1,1]=>[5,6,1,2,4,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,1,1,2,5]=>[3,4,1,5,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,1,5,2]=>[3,4,1,6,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,2,1,5]=>[3,5,1,4,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,2,5,1]=>[3,6,1,4,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,5,1,2]=>[3,5,1,6,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,5,2,1]=>[3,6,1,5,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,2,1,1,5]=>[4,5,1,3,2,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,2,1,5,1]=>[4,6,1,3,2,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,2,5,1,1]=>[5,6,1,3,2,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,5,1,1,2]=>[4,5,1,6,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,5,1,2,1]=>[4,6,1,5,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,5,2,1,1]=>[5,6,1,4,2,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,1,1,2,3]=>[3,4,1,5,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,1,3,2]=>[3,4,1,6,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,2,1,3]=>[3,5,1,4,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,2,3,1]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,3,1,2]=>[3,5,1,6,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,3,2,1]=>[3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,2,1,1,3]=>[4,5,1,3,6,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,2,1,3,1]=>[4,6,1,3,5,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,2,3,1,1]=>[5,6,1,3,4,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,3,1,1,2]=>[4,5,1,6,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,3,1,2,1]=>[4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,3,2,1,1]=>[5,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,1,1,2,2,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,2,5,2]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,5,2,2]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,1,2,5]=>[2,4,3,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,1,5,2]=>[2,4,3,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,2,1,5]=>[2,5,3,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,2,5,1]=>[2,6,3,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,5,1,2]=>[2,5,3,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,5,2,1]=>[2,6,3,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,1,2,2]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,2,1,2]=>[2,5,4,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,2,2,1]=>[2,6,4,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,1,2,5]=>[3,4,2,5,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,1,5,2]=>[3,4,2,6,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,2,1,5]=>[3,5,2,4,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,2,5,1]=>[3,6,2,4,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,5,1,2]=>[3,5,2,6,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,5,2,1]=>[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,2,1,1,5]=>[4,5,2,3,1,6]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,2,1,5,1]=>[4,6,2,3,1,5]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,2,5,1,1]=>[5,6,2,3,1,4]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,5,1,1,2]=>[4,5,2,6,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,5,1,2,1]=>[4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,5,2,1,1]=>[5,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,5,1,1,2,2]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,2,1,2]=>[3,5,4,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,2,2,1]=>[3,6,4,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,2,1,1,2]=>[4,5,3,6,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,5,2,1,2,1]=>[4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,5,2,2,1,1]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,1,1,2,2,3]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,2,3,2]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,3,2,2]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,1,2,3]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,1,3,2]=>[2,4,3,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,2,1,3]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,2,3,1]=>[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,3,1,2]=>[2,5,3,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,3,2,1]=>[2,6,3,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,1,2,2]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,2,1,2]=>[2,5,4,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,2,2,1]=>[2,6,4,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,1,2,3]=>[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,1,3,2]=>[3,4,2,6,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,2,1,3]=>[3,5,2,4,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,2,3,1]=>[3,6,2,4,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,3,1,2]=>[3,5,2,6,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,3,2,1]=>[3,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,2,1,1,3]=>[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,2,1,3,1]=>[4,6,2,3,5,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,2,3,1,1]=>[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,1,1,2]=>[4,5,2,6,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,3,1,2,1]=>[4,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,3,2,1,1]=>[5,6,2,4,3,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,3,1,1,2,2]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,2,1,2]=>[3,5,4,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,2,2,1]=>[3,6,4,5,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,2,1,1,2]=>[4,5,3,6,2,1]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[5,3,2,1,2,1]=>[4,6,3,5,2,1]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[5,3,2,2,1,1]=>[5,6,3,4,2,1]=>[5,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[1,1,2,2,3,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,2,6,3]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,3,2,6]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,3,6,2]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,6,2,3]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,6,3,2]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,2,2,6]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,2,6,2]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,6,2,2]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,2,2,3]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,2,3,2]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,3,2,2]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,2,3,6]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,2,6,3]=>[1,3,2,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,3,2,6]=>[1,3,2,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,3,6,2]=>[1,3,2,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,6,2,3]=>[1,3,2,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,6,3,2]=>[1,3,2,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,1,3,6]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,1,6,3]=>[1,4,2,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,3,1,6]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,3,6,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,6,1,3]=>[1,5,2,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,6,3,1]=>[1,6,2,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,1,2,6]=>[1,4,2,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,1,6,2]=>[1,4,2,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,2,1,6]=>[1,5,2,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,2,6,1]=>[1,6,2,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,6,1,2]=>[1,5,2,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,6,2,1]=>[1,6,2,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,1,2,3]=>[1,4,2,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,1,3,2]=>[1,4,2,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,2,1,3]=>[1,5,2,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,2,3,1]=>[1,6,2,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,3,1,2]=>[1,5,2,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,3,2,1]=>[1,6,2,5,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,2,2,6]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,2,6,2]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,6,2,2]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,1,2,6]=>[1,4,3,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,1,6,2]=>[1,4,3,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,2,1,6]=>[1,5,3,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,2,6,1]=>[1,6,3,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,6,1,2]=>[1,5,3,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,6,2,1]=>[1,6,3,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,1,2,2]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,2,1,2]=>[1,5,4,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,2,2,1]=>[1,6,4,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,2,2,3]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,2,3,2]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,3,2,2]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,1,2,3]=>[1,4,3,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,1,3,2]=>[1,4,3,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,2,1,3]=>[1,5,3,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,2,3,1]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,3,1,2]=>[1,5,3,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,3,2,1]=>[1,6,3,5,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,1,2,2]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,2,1,2]=>[1,5,4,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,2,2,1]=>[1,6,4,5,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,2,3,6]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,2,6,3]=>[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,3,2,6]=>[2,3,1,5,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,3,6,2]=>[2,3,1,6,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,6,2,3]=>[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,6,3,2]=>[2,3,1,6,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,1,3,6]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,1,6,3]=>[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,3,1,6]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,3,6,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,6,1,3]=>[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,6,3,1]=>[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,1,2,6]=>[2,4,1,5,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,1,6,2]=>[2,4,1,6,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,2,1,6]=>[2,5,1,4,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,2,6,1]=>[2,6,1,4,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,6,1,2]=>[2,5,1,6,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,6,2,1]=>[2,6,1,5,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,1,2,3]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,1,3,2]=>[2,4,1,6,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,2,1,3]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,2,3,1]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,3,1,2]=>[2,5,1,6,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,3,2,1]=>[2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,1,3,6]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,1,6,3]=>[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,3,1,6]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,3,6,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,6,1,3]=>[3,5,1,2,6,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,6,3,1]=>[3,6,1,2,5,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,3,1,1,6]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,3,1,6,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,3,6,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,6,1,1,3]=>[4,5,1,2,6,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,6,1,3,1]=>[4,6,1,2,5,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,6,3,1,1]=>[5,6,1,2,4,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,1,1,2,6]=>[3,4,1,5,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,1,6,2]=>[3,4,1,6,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,2,1,6]=>[3,5,1,4,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,2,6,1]=>[3,6,1,4,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,6,1,2]=>[3,5,1,6,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,6,2,1]=>[3,6,1,5,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,2,1,1,6]=>[4,5,1,3,2,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,2,1,6,1]=>[4,6,1,3,2,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,2,6,1,1]=>[5,6,1,3,2,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,6,1,1,2]=>[4,5,1,6,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,6,1,2,1]=>[4,6,1,5,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,6,2,1,1]=>[5,6,1,4,2,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,1,1,2,3]=>[3,4,1,5,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,1,3,2]=>[3,4,1,6,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,2,1,3]=>[3,5,1,4,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,2,3,1]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,3,1,2]=>[3,5,1,6,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,3,2,1]=>[3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,2,1,1,3]=>[4,5,1,3,6,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,2,1,3,1]=>[4,6,1,3,5,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,2,3,1,1]=>[5,6,1,3,4,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,3,1,1,2]=>[4,5,1,6,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,3,1,2,1]=>[4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,3,2,1,1]=>[5,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,1,1,2,2,6]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,2,6,2]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,6,2,2]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,1,2,6]=>[2,4,3,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,1,6,2]=>[2,4,3,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,2,1,6]=>[2,5,3,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,2,6,1]=>[2,6,3,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,6,1,2]=>[2,5,3,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,6,2,1]=>[2,6,3,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,1,2,2]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,2,1,2]=>[2,5,4,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,2,2,1]=>[2,6,4,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,1,2,6]=>[3,4,2,5,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,1,6,2]=>[3,4,2,6,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,2,1,6]=>[3,5,2,4,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,2,6,1]=>[3,6,2,4,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,6,1,2]=>[3,5,2,6,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,6,2,1]=>[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,2,1,1,6]=>[4,5,2,3,1,6]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,2,1,6,1]=>[4,6,2,3,1,5]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,2,6,1,1]=>[5,6,2,3,1,4]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,6,1,1,2]=>[4,5,2,6,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,6,1,2,1]=>[4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,6,2,1,1]=>[5,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,6,1,1,2,2]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,2,1,2]=>[3,5,4,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,2,2,1]=>[3,6,4,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,2,1,1,2]=>[4,5,3,6,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,6,2,1,2,1]=>[4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,6,2,2,1,1]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[6,1,1,2,2,3]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,2,3,2]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,3,2,2]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,1,2,3]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,1,3,2]=>[2,4,3,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,2,1,3]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,2,3,1]=>[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,3,1,2]=>[2,5,3,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,3,2,1]=>[2,6,3,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,1,2,2]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,2,1,2]=>[2,5,4,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,2,2,1]=>[2,6,4,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,1,1,2,3]=>[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,1,3,2]=>[3,4,2,6,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,2,1,3]=>[3,5,2,4,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,2,3,1]=>[3,6,2,4,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,3,1,2]=>[3,5,2,6,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,3,2,1]=>[3,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,2,1,1,3]=>[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,2,1,3,1]=>[4,6,2,3,5,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,2,3,1,1]=>[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,3,1,1,2]=>[4,5,2,6,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,3,1,2,1]=>[4,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,3,2,1,1]=>[5,6,2,4,3,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,3,1,1,2,2]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,2,1,2]=>[3,5,4,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,2,2,1]=>[3,6,4,5,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,2,1,1,2]=>[4,5,3,6,2,1]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,3,2,1,2,1]=>[4,6,3,5,2,1]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,3,2,2,1,1]=>[5,6,3,4,2,1]=>[5,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[1,1,2,2,4,4]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,4,2,4]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,4,4,2]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,2,2,4]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,2,4,2]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,4,2,2]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,2,4,4]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,4,2,4]=>[1,3,2,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,4,4,2]=>[1,3,2,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,1,4,4]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,4,1,4]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,4,4,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,1,2,4]=>[1,4,2,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,1,4,2]=>[1,4,2,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,2,1,4]=>[1,5,2,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,2,4,1]=>[1,6,2,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,4,1,2]=>[1,5,2,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,4,2,1]=>[1,6,2,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,2,2,4]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,2,4,2]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,4,2,2]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,1,2,4]=>[1,4,3,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,1,4,2]=>[1,4,3,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,2,1,4]=>[1,5,3,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,2,4,1]=>[1,6,3,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,4,1,2]=>[1,5,3,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,4,2,1]=>[1,6,3,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,1,2,2]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,2,1,2]=>[1,5,4,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,2,2,1]=>[1,6,4,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,2,4,4]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,4,2,4]=>[2,3,1,5,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,4,4,2]=>[2,3,1,6,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,1,4,4]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,4,1,4]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,4,4,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,1,2,4]=>[2,4,1,5,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,1,4,2]=>[2,4,1,6,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,2,1,4]=>[2,5,1,4,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,2,4,1]=>[2,6,1,4,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,4,1,2]=>[2,5,1,6,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,4,2,1]=>[2,6,1,5,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,1,4,4]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,4,1,4]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,4,4,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,4,1,1,4]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,4,1,4,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,4,4,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,1,1,2,4]=>[3,4,1,5,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,1,4,2]=>[3,4,1,6,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,2,1,4]=>[3,5,1,4,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,2,4,1]=>[3,6,1,4,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,4,1,2]=>[3,5,1,6,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,4,2,1]=>[3,6,1,5,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,2,1,1,4]=>[4,5,1,3,2,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,2,1,4,1]=>[4,6,1,3,2,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,2,4,1,1]=>[5,6,1,3,2,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,4,1,1,2]=>[4,5,1,6,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,4,1,2,1]=>[4,6,1,5,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,4,2,1,1]=>[5,6,1,4,2,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[4,1,1,2,2,4]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,2,4,2]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,4,2,2]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,1,2,4]=>[2,4,3,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,1,4,2]=>[2,4,3,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,2,1,4]=>[2,5,3,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,2,4,1]=>[2,6,3,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,4,1,2]=>[2,5,3,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,4,2,1]=>[2,6,3,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,1,2,2]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,2,1,2]=>[2,5,4,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,2,2,1]=>[2,6,4,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,1,2,4]=>[3,4,2,5,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,1,4,2]=>[3,4,2,6,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,2,1,4]=>[3,5,2,4,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,2,4,1]=>[3,6,2,4,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,4,1,2]=>[3,5,2,6,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,4,2,1]=>[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,2,1,1,4]=>[4,5,2,3,1,6]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,2,1,4,1]=>[4,6,2,3,1,5]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,2,4,1,1]=>[5,6,2,3,1,4]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,4,1,1,2]=>[4,5,2,6,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,4,1,2,1]=>[4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,4,2,1,1]=>[5,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,4,1,1,2,2]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,2,1,2]=>[3,5,4,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,2,2,1]=>[3,6,4,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,2,1,1,2]=>[4,5,3,6,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,4,2,1,2,1]=>[4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,4,2,2,1,1]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[1,1,2,2,4,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,2,5,4]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,4,2,5]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,4,5,2]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,5,2,4]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,5,4,2]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,2,2,5]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,2,5,2]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,5,2,2]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,2,2,4]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,2,4,2]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,4,2,2]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,2,4,5]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,2,5,4]=>[1,3,2,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,4,2,5]=>[1,3,2,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,4,5,2]=>[1,3,2,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,5,2,4]=>[1,3,2,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,5,4,2]=>[1,3,2,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,1,4,5]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,1,5,4]=>[1,4,2,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,4,1,5]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,4,5,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,5,1,4]=>[1,5,2,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,5,4,1]=>[1,6,2,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,1,2,5]=>[1,4,2,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,1,5,2]=>[1,4,2,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,2,1,5]=>[1,5,2,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,2,5,1]=>[1,6,2,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,5,1,2]=>[1,5,2,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,5,2,1]=>[1,6,2,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,1,2,4]=>[1,4,2,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,1,4,2]=>[1,4,2,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,2,1,4]=>[1,5,2,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,2,4,1]=>[1,6,2,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,4,1,2]=>[1,5,2,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,4,2,1]=>[1,6,2,5,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,2,2,5]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,2,5,2]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,5,2,2]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,1,2,5]=>[1,4,3,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,1,5,2]=>[1,4,3,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,2,1,5]=>[1,5,3,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,2,5,1]=>[1,6,3,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,5,1,2]=>[1,5,3,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,5,2,1]=>[1,6,3,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,1,2,2]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,2,1,2]=>[1,5,4,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,2,2,1]=>[1,6,4,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,2,2,4]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,2,4,2]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,4,2,2]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,1,2,4]=>[1,4,3,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,1,4,2]=>[1,4,3,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,2,1,4]=>[1,5,3,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,2,4,1]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,4,1,2]=>[1,5,3,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,4,2,1]=>[1,6,3,5,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,1,2,2]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,2,1,2]=>[1,5,4,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,2,2,1]=>[1,6,4,5,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,2,4,5]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,2,5,4]=>[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,4,2,5]=>[2,3,1,5,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,4,5,2]=>[2,3,1,6,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,5,2,4]=>[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,5,4,2]=>[2,3,1,6,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,1,4,5]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,1,5,4]=>[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,4,1,5]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,4,5,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,5,1,4]=>[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,5,4,1]=>[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,1,2,5]=>[2,4,1,5,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,1,5,2]=>[2,4,1,6,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,2,1,5]=>[2,5,1,4,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,2,5,1]=>[2,6,1,4,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,5,1,2]=>[2,5,1,6,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,5,2,1]=>[2,6,1,5,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,1,2,4]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,1,4,2]=>[2,4,1,6,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,2,1,4]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,2,4,1]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,4,1,2]=>[2,5,1,6,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,4,2,1]=>[2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,1,4,5]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,1,5,4]=>[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,4,1,5]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,4,5,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,5,1,4]=>[3,5,1,2,6,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,5,4,1]=>[3,6,1,2,5,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,4,1,1,5]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,4,1,5,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,4,5,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,5,1,1,4]=>[4,5,1,2,6,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,5,1,4,1]=>[4,6,1,2,5,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,5,4,1,1]=>[5,6,1,2,4,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,1,1,2,5]=>[3,4,1,5,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,1,5,2]=>[3,4,1,6,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,2,1,5]=>[3,5,1,4,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,2,5,1]=>[3,6,1,4,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,5,1,2]=>[3,5,1,6,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,5,2,1]=>[3,6,1,5,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,2,1,1,5]=>[4,5,1,3,2,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,2,1,5,1]=>[4,6,1,3,2,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,2,5,1,1]=>[5,6,1,3,2,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,5,1,1,2]=>[4,5,1,6,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,5,1,2,1]=>[4,6,1,5,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,5,2,1,1]=>[5,6,1,4,2,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,1,1,2,4]=>[3,4,1,5,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,1,4,2]=>[3,4,1,6,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,2,1,4]=>[3,5,1,4,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,2,4,1]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,4,1,2]=>[3,5,1,6,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,4,2,1]=>[3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,2,1,1,4]=>[4,5,1,3,6,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,2,1,4,1]=>[4,6,1,3,5,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,2,4,1,1]=>[5,6,1,3,4,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,4,1,1,2]=>[4,5,1,6,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,4,1,2,1]=>[4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,4,2,1,1]=>[5,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[4,1,1,2,2,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,2,5,2]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,5,2,2]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,1,2,5]=>[2,4,3,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,1,5,2]=>[2,4,3,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,2,1,5]=>[2,5,3,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,2,5,1]=>[2,6,3,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,5,1,2]=>[2,5,3,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,5,2,1]=>[2,6,3,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,1,2,2]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,2,1,2]=>[2,5,4,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,2,2,1]=>[2,6,4,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,1,2,5]=>[3,4,2,5,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,1,5,2]=>[3,4,2,6,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,2,1,5]=>[3,5,2,4,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,2,5,1]=>[3,6,2,4,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,5,1,2]=>[3,5,2,6,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,5,2,1]=>[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,2,1,1,5]=>[4,5,2,3,1,6]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,2,1,5,1]=>[4,6,2,3,1,5]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,2,5,1,1]=>[5,6,2,3,1,4]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,5,1,1,2]=>[4,5,2,6,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,1,2,1]=>[4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,2,1,1]=>[5,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,5,1,1,2,2]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,2,1,2]=>[3,5,4,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,2,2,1]=>[3,6,4,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,2,1,1,2]=>[4,5,3,6,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,2,1,2,1]=>[4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,2,2,1,1]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,1,1,2,2,4]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,2,4,2]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,4,2,2]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,1,2,4]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,1,4,2]=>[2,4,3,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,2,1,4]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,2,4,1]=>[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,4,1,2]=>[2,5,3,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,4,2,1]=>[2,6,3,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,1,2,2]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,2,1,2]=>[2,5,4,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,2,2,1]=>[2,6,4,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,1,2,4]=>[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,1,4,2]=>[3,4,2,6,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,2,1,4]=>[3,5,2,4,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,2,4,1]=>[3,6,2,4,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,4,1,2]=>[3,5,2,6,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,4,2,1]=>[3,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,2,1,1,4]=>[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,2,1,4,1]=>[4,6,2,3,5,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,2,4,1,1]=>[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,1,1,2]=>[4,5,2,6,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,4,1,2,1]=>[4,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,4,2,1,1]=>[5,6,2,4,3,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,4,1,1,2,2]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,2,1,2]=>[3,5,4,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,2,2,1]=>[3,6,4,5,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,2,1,1,2]=>[4,5,3,6,2,1]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[5,4,2,1,2,1]=>[4,6,3,5,2,1]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[5,4,2,2,1,1]=>[5,6,3,4,2,1]=>[5,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[1,1,2,2,4,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,2,6,4]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,4,2,6]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,4,6,2]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,6,2,4]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,6,4,2]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,2,2,6]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,2,6,2]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,6,2,2]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,2,2,4]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,2,4,2]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,4,2,2]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,2,4,6]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,2,6,4]=>[1,3,2,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,4,2,6]=>[1,3,2,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,4,6,2]=>[1,3,2,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,6,2,4]=>[1,3,2,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,6,4,2]=>[1,3,2,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,1,4,6]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,1,6,4]=>[1,4,2,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,4,1,6]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,4,6,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,6,1,4]=>[1,5,2,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,6,4,1]=>[1,6,2,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,1,2,6]=>[1,4,2,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,1,6,2]=>[1,4,2,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,2,1,6]=>[1,5,2,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,2,6,1]=>[1,6,2,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,6,1,2]=>[1,5,2,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,6,2,1]=>[1,6,2,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,1,2,4]=>[1,4,2,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,1,4,2]=>[1,4,2,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,2,1,4]=>[1,5,2,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,2,4,1]=>[1,6,2,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,4,1,2]=>[1,5,2,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,4,2,1]=>[1,6,2,5,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,2,2,6]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,2,6,2]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,6,2,2]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,1,2,6]=>[1,4,3,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,1,6,2]=>[1,4,3,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,2,1,6]=>[1,5,3,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,2,6,1]=>[1,6,3,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,6,1,2]=>[1,5,3,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,6,2,1]=>[1,6,3,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,1,2,2]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,2,1,2]=>[1,5,4,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,2,2,1]=>[1,6,4,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,2,2,4]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,2,4,2]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,4,2,2]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,1,2,4]=>[1,4,3,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,1,4,2]=>[1,4,3,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,2,1,4]=>[1,5,3,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,2,4,1]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,4,1,2]=>[1,5,3,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,4,2,1]=>[1,6,3,5,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,1,2,2]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,2,1,2]=>[1,5,4,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,2,2,1]=>[1,6,4,5,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,2,4,6]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,2,6,4]=>[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,4,2,6]=>[2,3,1,5,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,4,6,2]=>[2,3,1,6,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,6,2,4]=>[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,6,4,2]=>[2,3,1,6,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,1,4,6]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,1,6,4]=>[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,4,1,6]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,4,6,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,6,1,4]=>[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,6,4,1]=>[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,1,2,6]=>[2,4,1,5,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,1,6,2]=>[2,4,1,6,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,2,1,6]=>[2,5,1,4,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,2,6,1]=>[2,6,1,4,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,6,1,2]=>[2,5,1,6,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,6,2,1]=>[2,6,1,5,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,1,2,4]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,1,4,2]=>[2,4,1,6,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,2,1,4]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,2,4,1]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,4,1,2]=>[2,5,1,6,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,4,2,1]=>[2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,1,4,6]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,1,6,4]=>[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,4,1,6]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,4,6,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,6,1,4]=>[3,5,1,2,6,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,6,4,1]=>[3,6,1,2,5,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,4,1,1,6]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,4,1,6,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,4,6,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,6,1,1,4]=>[4,5,1,2,6,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,6,1,4,1]=>[4,6,1,2,5,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,6,4,1,1]=>[5,6,1,2,4,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,1,1,2,6]=>[3,4,1,5,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,1,6,2]=>[3,4,1,6,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,2,1,6]=>[3,5,1,4,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,2,6,1]=>[3,6,1,4,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,6,1,2]=>[3,5,1,6,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,6,2,1]=>[3,6,1,5,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,2,1,1,6]=>[4,5,1,3,2,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,2,1,6,1]=>[4,6,1,3,2,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,2,6,1,1]=>[5,6,1,3,2,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,6,1,1,2]=>[4,5,1,6,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,6,1,2,1]=>[4,6,1,5,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,6,2,1,1]=>[5,6,1,4,2,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,1,1,2,4]=>[3,4,1,5,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,1,4,2]=>[3,4,1,6,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,2,1,4]=>[3,5,1,4,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,2,4,1]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,4,1,2]=>[3,5,1,6,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,4,2,1]=>[3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,2,1,1,4]=>[4,5,1,3,6,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,2,1,4,1]=>[4,6,1,3,5,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,2,4,1,1]=>[5,6,1,3,4,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,4,1,1,2]=>[4,5,1,6,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,4,1,2,1]=>[4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,4,2,1,1]=>[5,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[4,1,1,2,2,6]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,2,6,2]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,6,2,2]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,1,2,6]=>[2,4,3,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,1,6,2]=>[2,4,3,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,2,1,6]=>[2,5,3,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,2,6,1]=>[2,6,3,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,6,1,2]=>[2,5,3,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,6,2,1]=>[2,6,3,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,1,2,2]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,2,1,2]=>[2,5,4,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,2,2,1]=>[2,6,4,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,1,2,6]=>[3,4,2,5,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,1,6,2]=>[3,4,2,6,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,2,1,6]=>[3,5,2,4,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,2,6,1]=>[3,6,2,4,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,6,1,2]=>[3,5,2,6,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,6,2,1]=>[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,2,1,1,6]=>[4,5,2,3,1,6]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,2,1,6,1]=>[4,6,2,3,1,5]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,2,6,1,1]=>[5,6,2,3,1,4]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,6,1,1,2]=>[4,5,2,6,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,1,2,1]=>[4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,2,1,1]=>[5,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,6,1,1,2,2]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,2,1,2]=>[3,5,4,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,2,2,1]=>[3,6,4,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,2,1,1,2]=>[4,5,3,6,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,2,1,2,1]=>[4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,2,2,1,1]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[6,1,1,2,2,4]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,2,4,2]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,4,2,2]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,1,2,4]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,1,4,2]=>[2,4,3,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,2,1,4]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,2,4,1]=>[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,4,1,2]=>[2,5,3,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,4,2,1]=>[2,6,3,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,1,2,2]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,2,1,2]=>[2,5,4,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,2,2,1]=>[2,6,4,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,1,1,2,4]=>[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,1,4,2]=>[3,4,2,6,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,2,1,4]=>[3,5,2,4,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,2,4,1]=>[3,6,2,4,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,4,1,2]=>[3,5,2,6,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,4,2,1]=>[3,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,2,1,1,4]=>[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,2,1,4,1]=>[4,6,2,3,5,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,2,4,1,1]=>[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,4,1,1,2]=>[4,5,2,6,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,4,1,2,1]=>[4,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,4,2,1,1]=>[5,6,2,4,3,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,4,1,1,2,2]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,2,1,2]=>[3,5,4,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,2,2,1]=>[3,6,4,5,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,2,1,1,2]=>[4,5,3,6,2,1]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,4,2,1,2,1]=>[4,6,3,5,2,1]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,4,2,2,1,1]=>[5,6,3,4,2,1]=>[5,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[1,1,2,2,5,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,5,2,5]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,5,5,2]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,2,2,5]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,2,5,2]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,5,2,2]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,2,5,5]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,5,2,5]=>[1,3,2,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,5,5,2]=>[1,3,2,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,1,5,5]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,5,1,5]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,5,5,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,1,2,5]=>[1,4,2,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,1,5,2]=>[1,4,2,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,2,1,5]=>[1,5,2,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,2,5,1]=>[1,6,2,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,5,1,2]=>[1,5,2,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,5,2,1]=>[1,6,2,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,2,2,5]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,2,5,2]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,5,2,2]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,1,2,5]=>[1,4,3,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,1,5,2]=>[1,4,3,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,2,1,5]=>[1,5,3,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,2,5,1]=>[1,6,3,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,5,1,2]=>[1,5,3,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,5,2,1]=>[1,6,3,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,1,2,2]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,2,1,2]=>[1,5,4,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,2,2,1]=>[1,6,4,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,2,5,5]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,5,2,5]=>[2,3,1,5,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,5,5,2]=>[2,3,1,6,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,1,5,5]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,5,1,5]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,5,5,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,1,2,5]=>[2,4,1,5,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,1,5,2]=>[2,4,1,6,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,2,1,5]=>[2,5,1,4,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,2,5,1]=>[2,6,1,4,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,5,1,2]=>[2,5,1,6,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,5,2,1]=>[2,6,1,5,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,1,5,5]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,5,1,5]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,5,5,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,5,1,1,5]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,5,1,5,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,5,5,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,1,1,2,5]=>[3,4,1,5,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,1,5,2]=>[3,4,1,6,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,2,1,5]=>[3,5,1,4,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,2,5,1]=>[3,6,1,4,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,5,1,2]=>[3,5,1,6,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,5,2,1]=>[3,6,1,5,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,2,1,1,5]=>[4,5,1,3,2,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,2,1,5,1]=>[4,6,1,3,2,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,2,5,1,1]=>[5,6,1,3,2,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,5,1,1,2]=>[4,5,1,6,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,5,1,2,1]=>[4,6,1,5,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,5,2,1,1]=>[5,6,1,4,2,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,1,2,2,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,2,5,2]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,5,2,2]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,1,2,5]=>[2,4,3,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,1,5,2]=>[2,4,3,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,2,1,5]=>[2,5,3,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,2,5,1]=>[2,6,3,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,5,1,2]=>[2,5,3,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,5,2,1]=>[2,6,3,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,1,2,2]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,2,1,2]=>[2,5,4,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,2,2,1]=>[2,6,4,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,1,2,5]=>[3,4,2,5,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,1,5,2]=>[3,4,2,6,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,2,1,5]=>[3,5,2,4,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,2,5,1]=>[3,6,2,4,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,5,1,2]=>[3,5,2,6,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,5,2,1]=>[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,2,1,1,5]=>[4,5,2,3,1,6]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,2,1,5,1]=>[4,6,2,3,1,5]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,2,5,1,1]=>[5,6,2,3,1,4]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,5,1,1,2]=>[4,5,2,6,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,5,1,2,1]=>[4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,5,2,1,1]=>[5,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,5,1,1,2,2]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,1,2,1,2]=>[3,5,4,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,1,2,2,1]=>[3,6,4,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,2,1,1,2]=>[4,5,3,6,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,5,2,1,2,1]=>[4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,5,2,2,1,1]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[1,1,2,2,5,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,2,6,5]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,5,2,6]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,5,6,2]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,6,2,5]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,6,5,2]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,2,2,6]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,2,6,2]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,6,2,2]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,2,2,5]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,2,5,2]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,5,2,2]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,2,5,6]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,2,6,5]=>[1,3,2,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,5,2,6]=>[1,3,2,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,5,6,2]=>[1,3,2,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,6,2,5]=>[1,3,2,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,6,5,2]=>[1,3,2,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,1,5,6]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,1,6,5]=>[1,4,2,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,5,1,6]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,5,6,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,6,1,5]=>[1,5,2,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,6,5,1]=>[1,6,2,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,1,2,6]=>[1,4,2,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,1,6,2]=>[1,4,2,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,2,1,6]=>[1,5,2,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,2,6,1]=>[1,6,2,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,6,1,2]=>[1,5,2,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,6,2,1]=>[1,6,2,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,1,2,5]=>[1,4,2,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,1,5,2]=>[1,4,2,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,2,1,5]=>[1,5,2,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,2,5,1]=>[1,6,2,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,5,1,2]=>[1,5,2,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,5,2,1]=>[1,6,2,5,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,2,2,6]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,2,6,2]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,6,2,2]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,1,2,6]=>[1,4,3,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,1,6,2]=>[1,4,3,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,2,1,6]=>[1,5,3,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,2,6,1]=>[1,6,3,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,6,1,2]=>[1,5,3,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,6,2,1]=>[1,6,3,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,6,1,2,2]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,6,2,1,2]=>[1,5,4,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,6,2,2,1]=>[1,6,4,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,2,2,5]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,2,5,2]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,5,2,2]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,1,2,5]=>[1,4,3,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,1,5,2]=>[1,4,3,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,2,1,5]=>[1,5,3,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,2,5,1]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,5,1,2]=>[1,5,3,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,5,2,1]=>[1,6,3,5,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,5,1,2,2]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,5,2,1,2]=>[1,5,4,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,5,2,2,1]=>[1,6,4,5,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,2,5,6]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,2,6,5]=>[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,5,2,6]=>[2,3,1,5,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,5,6,2]=>[2,3,1,6,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,6,2,5]=>[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,6,5,2]=>[2,3,1,6,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,1,5,6]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,1,6,5]=>[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,5,1,6]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,5,6,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,6,1,5]=>[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,6,5,1]=>[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,1,2,6]=>[2,4,1,5,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,1,6,2]=>[2,4,1,6,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,2,1,6]=>[2,5,1,4,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,2,6,1]=>[2,6,1,4,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,6,1,2]=>[2,5,1,6,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,6,2,1]=>[2,6,1,5,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,1,2,5]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,1,5,2]=>[2,4,1,6,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,2,1,5]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,2,5,1]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,5,1,2]=>[2,5,1,6,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,5,2,1]=>[2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,1,5,6]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,1,6,5]=>[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,5,1,6]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,5,6,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,6,1,5]=>[3,5,1,2,6,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,6,5,1]=>[3,6,1,2,5,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,5,1,1,6]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,5,1,6,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,5,6,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,6,1,1,5]=>[4,5,1,2,6,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,6,1,5,1]=>[4,6,1,2,5,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,6,5,1,1]=>[5,6,1,2,4,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,1,1,2,6]=>[3,4,1,5,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,1,6,2]=>[3,4,1,6,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,2,1,6]=>[3,5,1,4,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,2,6,1]=>[3,6,1,4,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,6,1,2]=>[3,5,1,6,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,6,2,1]=>[3,6,1,5,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,2,1,1,6]=>[4,5,1,3,2,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,2,1,6,1]=>[4,6,1,3,2,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,2,6,1,1]=>[5,6,1,3,2,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,6,1,1,2]=>[4,5,1,6,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,6,1,2,1]=>[4,6,1,5,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,6,2,1,1]=>[5,6,1,4,2,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,1,1,2,5]=>[3,4,1,5,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,1,5,2]=>[3,4,1,6,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,2,1,5]=>[3,5,1,4,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,2,5,1]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,5,1,2]=>[3,5,1,6,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,5,2,1]=>[3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,2,1,1,5]=>[4,5,1,3,6,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,2,1,5,1]=>[4,6,1,3,5,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,2,5,1,1]=>[5,6,1,3,4,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,5,1,1,2]=>[4,5,1,6,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,5,1,2,1]=>[4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,5,2,1,1]=>[5,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,1,2,2,6]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,2,6,2]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,6,2,2]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,1,2,6]=>[2,4,3,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,1,6,2]=>[2,4,3,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,2,1,6]=>[2,5,3,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,2,6,1]=>[2,6,3,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,6,1,2]=>[2,5,3,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,6,2,1]=>[2,6,3,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,1,2,2]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,2,1,2]=>[2,5,4,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,2,2,1]=>[2,6,4,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,1,2,6]=>[3,4,2,5,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,1,6,2]=>[3,4,2,6,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,2,1,6]=>[3,5,2,4,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,2,6,1]=>[3,6,2,4,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,6,1,2]=>[3,5,2,6,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,6,2,1]=>[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,2,1,1,6]=>[4,5,2,3,1,6]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,2,1,6,1]=>[4,6,2,3,1,5]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,2,6,1,1]=>[5,6,2,3,1,4]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,1,1,2]=>[4,5,2,6,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,6,1,2,1]=>[4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,6,2,1,1]=>[5,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,1,1,2,2]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,1,2,1,2]=>[3,5,4,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,1,2,2,1]=>[3,6,4,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,2,1,1,2]=>[4,5,3,6,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,2,1,2,1]=>[4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,2,2,1,1]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[6,1,1,2,2,5]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,2,5,2]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,5,2,2]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,1,2,5]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,1,5,2]=>[2,4,3,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,2,1,5]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,2,5,1]=>[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,5,1,2]=>[2,5,3,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,5,2,1]=>[2,6,3,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,1,2,2]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,2,1,2]=>[2,5,4,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,2,2,1]=>[2,6,4,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,1,1,2,5]=>[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,1,5,2]=>[3,4,2,6,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,2,1,5]=>[3,5,2,4,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,2,5,1]=>[3,6,2,4,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,5,1,2]=>[3,5,2,6,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,5,2,1]=>[3,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,2,1,1,5]=>[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,2,1,5,1]=>[4,6,2,3,5,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,2,5,1,1]=>[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,5,1,1,2]=>[4,5,2,6,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,5,1,2,1]=>[4,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,5,2,1,1]=>[5,6,2,4,3,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,5,1,1,2,2]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,1,2,1,2]=>[3,5,4,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,1,2,2,1]=>[3,6,4,5,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,2,1,1,2]=>[4,5,3,6,2,1]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,5,2,1,2,1]=>[4,6,3,5,2,1]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,5,2,2,1,1]=>[5,6,3,4,2,1]=>[5,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[1,1,2,3,3,3]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,2,3,3]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,3,2,3]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,3,3,2]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,3,3,3]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,1,3,3]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,3,1,3]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,3,3,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,2,3,3]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,3,2,3]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,3,3,2]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,1,3,3]=>[1,4,3,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,3,1,3]=>[1,5,3,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,3,3,1]=>[1,6,3,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,1,2,3]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,1,3,2]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,2,1,3]=>[1,5,4,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,2,3,1]=>[1,6,4,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,3,1,2]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,3,2,1]=>[1,6,5,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,3,3,3]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,1,3,3]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,3,1,3]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,3,3,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,1,3,3]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,3,1,3]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,3,3,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,3,1,1,3]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,3,1,3,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,3,3,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,1,1,2,3,3]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,3,2,3]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,3,3,2]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,1,3,3]=>[2,4,3,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,3,1,3]=>[2,5,3,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,3,3,1]=>[2,6,3,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,1,2,3]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,1,3,2]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,2,1,3]=>[2,5,4,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,2,3,1]=>[2,6,4,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,3,1,2]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,3,2,1]=>[2,6,5,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,1,3,3]=>[3,4,2,1,5,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,3,1,3]=>[3,5,2,1,4,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,3,3,1]=>[3,6,2,1,4,5]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,3,1,1,3]=>[4,5,2,1,3,6]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,3,1,3,1]=>[4,6,2,1,3,5]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,3,3,1,1]=>[5,6,2,1,3,4]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,3,1,1,2,3]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,1,3,2]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,2,1,3]=>[3,5,4,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,2,3,1]=>[3,6,4,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,3,1,2]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,3,2,1]=>[3,6,5,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,2,1,1,3]=>[4,5,3,1,2,6]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,3,2,1,3,1]=>[4,6,3,1,2,5]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,3,2,3,1,1]=>[5,6,3,1,2,4]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,3,3,1,1,2]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,3,1,2,1]=>[4,6,5,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,3,2,1,1]=>[5,6,4,1,2,3]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[1,1,2,3,3,4]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,3,4,3]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,4,3,3]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,2,3,4]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,2,4,3]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,3,2,4]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,3,4,2]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,4,2,3]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,4,3,2]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,2,3,3]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,3,2,3]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,3,3,2]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,3,3,4]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,3,4,3]=>[1,3,2,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,4,3,3]=>[1,3,2,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,1,3,4]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,1,4,3]=>[1,4,2,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,3,1,4]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,3,4,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,4,1,3]=>[1,5,2,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,4,3,1]=>[1,6,2,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,1,3,3]=>[1,4,2,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,3,1,3]=>[1,5,2,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,3,3,1]=>[1,6,2,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,2,3,4]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,2,4,3]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,3,2,4]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,3,4,2]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,4,2,3]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,4,3,2]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,1,3,4]=>[1,4,3,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,1,4,3]=>[1,4,3,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,3,1,4]=>[1,5,3,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,3,4,1]=>[1,6,3,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,4,1,3]=>[1,5,3,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,4,3,1]=>[1,6,3,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,1,2,4]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,1,4,2]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,2,1,4]=>[1,5,4,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,2,4,1]=>[1,6,4,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,4,1,2]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,4,2,1]=>[1,6,5,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,1,2,3]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,1,3,2]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,2,1,3]=>[1,5,4,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,2,3,1]=>[1,6,4,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,3,1,2]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,3,2,1]=>[1,6,5,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,2,3,3]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,3,2,3]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,3,3,2]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,1,3,3]=>[1,4,3,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,3,1,3]=>[1,5,3,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,3,3,1]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,1,2,3]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,1,3,2]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,2,1,3]=>[1,5,4,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,2,3,1]=>[1,6,4,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,3,1,2]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,3,2,1]=>[1,6,5,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,3,3,4]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,3,4,3]=>[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,4,3,3]=>[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,1,3,4]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,1,4,3]=>[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,3,1,4]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,3,4,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,4,1,3]=>[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,4,3,1]=>[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,1,3,3]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,3,1,3]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,3,3,1]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,1,3,4]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,1,4,3]=>[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,3,1,4]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,3,4,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,4,1,3]=>[3,5,1,2,6,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,4,3,1]=>[3,6,1,2,5,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,3,1,1,4]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,3,1,4,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,3,4,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,4,1,1,3]=>[4,5,1,2,6,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,4,1,3,1]=>[4,6,1,2,5,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,4,3,1,1]=>[5,6,1,2,4,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,1,1,3,3]=>[3,4,1,5,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,3,1,3]=>[3,5,1,4,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,3,3,1]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,3,1,1,3]=>[4,5,1,3,6,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,3,1,3,1]=>[4,6,1,3,5,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,3,3,1,1]=>[5,6,1,3,4,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,1,1,2,3,4]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,2,4,3]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,3,2,4]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,3,4,2]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,4,2,3]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,4,3,2]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,1,3,4]=>[2,4,3,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,1,4,3]=>[2,4,3,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,3,1,4]=>[2,5,3,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,3,4,1]=>[2,6,3,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,4,1,3]=>[2,5,3,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,4,3,1]=>[2,6,3,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,1,2,4]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,1,4,2]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,2,1,4]=>[2,5,4,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,2,4,1]=>[2,6,4,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,4,1,2]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,4,2,1]=>[2,6,5,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,1,2,3]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,1,3,2]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,2,1,3]=>[2,5,4,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,2,3,1]=>[2,6,4,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,3,1,2]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,3,2,1]=>[2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,1,3,4]=>[3,4,2,1,5,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,1,4,3]=>[3,4,2,1,6,5]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,3,1,4]=>[3,5,2,1,4,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,3,4,1]=>[3,6,2,1,4,5]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,4,1,3]=>[3,5,2,1,6,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,4,3,1]=>[3,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,3,1,1,4]=>[4,5,2,1,3,6]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,3,1,4,1]=>[4,6,2,1,3,5]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,3,4,1,1]=>[5,6,2,1,3,4]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,4,1,1,3]=>[4,5,2,1,6,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,4,1,3,1]=>[4,6,2,1,5,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,4,3,1,1]=>[5,6,2,1,4,3]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,3,1,1,2,4]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,1,4,2]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,2,1,4]=>[3,5,4,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,2,4,1]=>[3,6,4,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,4,1,2]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,4,2,1]=>[3,6,5,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,2,1,1,4]=>[4,5,3,1,2,6]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,3,2,1,4,1]=>[4,6,3,1,2,5]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,3,2,4,1,1]=>[5,6,3,1,2,4]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,3,4,1,1,2]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,4,1,2,1]=>[4,6,5,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,4,2,1,1]=>[5,6,4,1,2,3]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[3,4,1,1,2,3]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,1,3,2]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,2,1,3]=>[3,5,4,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,2,3,1]=>[3,6,4,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,3,1,2]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,3,2,1]=>[3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,2,1,1,3]=>[4,5,3,1,6,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,4,2,1,3,1]=>[4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,4,2,3,1,1]=>[5,6,3,1,4,2]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,4,3,1,1,2]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,3,1,2,1]=>[4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,3,2,1,1]=>[5,6,4,1,3,2]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[4,1,1,2,3,3]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,3,2,3]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,3,3,2]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,1,3,3]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,3,1,3]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,3,3,1]=>[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,1,2,3]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,1,3,2]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,2,1,3]=>[2,5,4,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,2,3,1]=>[2,6,4,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,3,1,2]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,3,2,1]=>[2,6,5,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,1,3,3]=>[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,3,1,3]=>[3,5,2,4,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,3,3,1]=>[3,6,2,4,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,3,1,1,3]=>[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,1,3,1]=>[4,6,2,3,5,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,3,1,1]=>[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[4,3,1,1,2,3]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,1,3,2]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,2,1,3]=>[3,5,4,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,2,3,1]=>[3,6,4,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,3,1,2]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,3,2,1]=>[3,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,2,1,1,3]=>[4,5,3,2,6,1]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,1,3,1]=>[4,6,3,2,5,1]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,3,1,1]=>[5,6,3,2,4,1]=>[5,6,3,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[4,3,3,1,1,2]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,3,1,2,1]=>[4,6,5,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,3,2,1,1]=>[5,6,4,2,3,1]=>[5,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[1,1,2,3,3,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,3,5,3]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,5,3,3]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,2,3,5]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,2,5,3]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,3,2,5]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,3,5,2]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,5,2,3]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,5,3,2]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,2,3,3]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,3,2,3]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,3,3,2]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,3,3,5]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,3,5,3]=>[1,3,2,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,5,3,3]=>[1,3,2,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,1,3,5]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,1,5,3]=>[1,4,2,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,3,1,5]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,3,5,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,5,1,3]=>[1,5,2,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,5,3,1]=>[1,6,2,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,1,3,3]=>[1,4,2,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,3,1,3]=>[1,5,2,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,3,3,1]=>[1,6,2,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,2,3,5]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,2,5,3]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,3,2,5]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,3,5,2]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,5,2,3]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,5,3,2]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,1,3,5]=>[1,4,3,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,1,5,3]=>[1,4,3,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,3,1,5]=>[1,5,3,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,3,5,1]=>[1,6,3,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,5,1,3]=>[1,5,3,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,5,3,1]=>[1,6,3,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,1,2,5]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,1,5,2]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,2,1,5]=>[1,5,4,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,2,5,1]=>[1,6,4,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,5,1,2]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,5,2,1]=>[1,6,5,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,1,2,3]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,1,3,2]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,2,1,3]=>[1,5,4,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,2,3,1]=>[1,6,4,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,3,1,2]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,3,2,1]=>[1,6,5,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,2,3,3]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,3,2,3]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,3,3,2]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,1,3,3]=>[1,4,3,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,3,1,3]=>[1,5,3,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,3,3,1]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,1,2,3]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,1,3,2]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,2,1,3]=>[1,5,4,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,2,3,1]=>[1,6,4,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,3,1,2]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,3,2,1]=>[1,6,5,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,3,3,5]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,3,5,3]=>[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,5,3,3]=>[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,1,3,5]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,1,5,3]=>[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,3,1,5]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,3,5,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,5,1,3]=>[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,5,3,1]=>[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,1,3,3]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,3,1,3]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,3,3,1]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,1,3,5]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,1,5,3]=>[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,3,1,5]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,3,5,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,5,1,3]=>[3,5,1,2,6,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,5,3,1]=>[3,6,1,2,5,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,3,1,1,5]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,3,1,5,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,3,5,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,5,1,1,3]=>[4,5,1,2,6,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,5,1,3,1]=>[4,6,1,2,5,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,5,3,1,1]=>[5,6,1,2,4,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,1,1,3,3]=>[3,4,1,5,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,3,1,3]=>[3,5,1,4,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,3,3,1]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,3,1,1,3]=>[4,5,1,3,6,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,3,1,3,1]=>[4,6,1,3,5,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,3,3,1,1]=>[5,6,1,3,4,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,1,1,2,3,5]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,2,5,3]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,3,2,5]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,3,5,2]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,5,2,3]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,5,3,2]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,1,3,5]=>[2,4,3,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,1,5,3]=>[2,4,3,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,3,1,5]=>[2,5,3,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,3,5,1]=>[2,6,3,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,5,1,3]=>[2,5,3,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,5,3,1]=>[2,6,3,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,1,2,5]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,1,5,2]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,2,1,5]=>[2,5,4,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,2,5,1]=>[2,6,4,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,5,1,2]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,5,2,1]=>[2,6,5,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,1,2,3]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,1,3,2]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,2,1,3]=>[2,5,4,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,2,3,1]=>[2,6,4,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,3,1,2]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,3,2,1]=>[2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,1,3,5]=>[3,4,2,1,5,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,1,5,3]=>[3,4,2,1,6,5]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,3,1,5]=>[3,5,2,1,4,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,3,5,1]=>[3,6,2,1,4,5]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,5,1,3]=>[3,5,2,1,6,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,5,3,1]=>[3,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,3,1,1,5]=>[4,5,2,1,3,6]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,3,1,5,1]=>[4,6,2,1,3,5]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,3,5,1,1]=>[5,6,2,1,3,4]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,5,1,1,3]=>[4,5,2,1,6,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,5,1,3,1]=>[4,6,2,1,5,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,5,3,1,1]=>[5,6,2,1,4,3]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,3,1,1,2,5]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,1,5,2]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,2,1,5]=>[3,5,4,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,2,5,1]=>[3,6,4,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,5,1,2]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,5,2,1]=>[3,6,5,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,2,1,1,5]=>[4,5,3,1,2,6]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,3,2,1,5,1]=>[4,6,3,1,2,5]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,3,2,5,1,1]=>[5,6,3,1,2,4]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,3,5,1,1,2]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,5,1,2,1]=>[4,6,5,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,5,2,1,1]=>[5,6,4,1,2,3]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[3,5,1,1,2,3]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,1,3,2]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,2,1,3]=>[3,5,4,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,2,3,1]=>[3,6,4,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,3,1,2]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,3,2,1]=>[3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,2,1,1,3]=>[4,5,3,1,6,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,5,2,1,3,1]=>[4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,5,2,3,1,1]=>[5,6,3,1,4,2]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,5,3,1,1,2]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,3,1,2,1]=>[4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,3,2,1,1]=>[5,6,4,1,3,2]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,1,1,2,3,3]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,3,2,3]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,3,3,2]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,1,3,3]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,3,1,3]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,3,3,1]=>[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,1,2,3]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,1,3,2]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,2,1,3]=>[2,5,4,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,2,3,1]=>[2,6,4,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,3,1,2]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,3,2,1]=>[2,6,5,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,1,3,3]=>[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,3,1,3]=>[3,5,2,4,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,3,3,1]=>[3,6,2,4,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,3,1,1,3]=>[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,3,1,3,1]=>[4,6,2,3,5,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,3,3,1,1]=>[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,3,1,1,2,3]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,1,3,2]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,2,1,3]=>[3,5,4,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,2,3,1]=>[3,6,4,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,3,1,2]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,3,2,1]=>[3,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,2,1,1,3]=>[4,5,3,2,6,1]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[5,3,2,1,3,1]=>[4,6,3,2,5,1]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[5,3,2,3,1,1]=>[5,6,3,2,4,1]=>[5,6,3,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,3,1,1,2]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,3,1,2,1]=>[4,6,5,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,3,2,1,1]=>[5,6,4,2,3,1]=>[5,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[1,1,2,3,3,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,3,6,3]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,6,3,3]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,2,3,6]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,2,6,3]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,3,2,6]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,3,6,2]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,6,2,3]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,6,3,2]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,2,3,3]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,3,2,3]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,3,3,2]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,3,3,6]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,3,6,3]=>[1,3,2,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,6,3,3]=>[1,3,2,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,1,3,6]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,1,6,3]=>[1,4,2,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,3,1,6]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,3,6,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,6,1,3]=>[1,5,2,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,6,3,1]=>[1,6,2,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,1,3,3]=>[1,4,2,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,3,1,3]=>[1,5,2,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,3,3,1]=>[1,6,2,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,2,3,6]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,2,6,3]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,3,2,6]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,3,6,2]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,6,2,3]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,6,3,2]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,1,3,6]=>[1,4,3,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,1,6,3]=>[1,4,3,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,3,1,6]=>[1,5,3,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,3,6,1]=>[1,6,3,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,6,1,3]=>[1,5,3,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,6,3,1]=>[1,6,3,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,1,2,6]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,1,6,2]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,2,1,6]=>[1,5,4,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,2,6,1]=>[1,6,4,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,6,1,2]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,6,2,1]=>[1,6,5,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,1,2,3]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,1,3,2]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,2,1,3]=>[1,5,4,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,2,3,1]=>[1,6,4,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,3,1,2]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,3,2,1]=>[1,6,5,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,2,3,3]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,3,2,3]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,3,3,2]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,1,3,3]=>[1,4,3,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,3,1,3]=>[1,5,3,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,3,3,1]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,1,2,3]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,1,3,2]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,2,1,3]=>[1,5,4,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,2,3,1]=>[1,6,4,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,3,1,2]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,3,2,1]=>[1,6,5,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,3,3,6]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,3,6,3]=>[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,6,3,3]=>[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,1,3,6]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,1,6,3]=>[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,3,1,6]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,3,6,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,6,1,3]=>[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,6,3,1]=>[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,1,3,3]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,3,1,3]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,3,3,1]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,1,3,6]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,1,6,3]=>[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,3,1,6]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,3,6,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,6,1,3]=>[3,5,1,2,6,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,6,3,1]=>[3,6,1,2,5,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,3,1,1,6]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,3,1,6,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,3,6,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,6,1,1,3]=>[4,5,1,2,6,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,6,1,3,1]=>[4,6,1,2,5,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,6,3,1,1]=>[5,6,1,2,4,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,1,1,3,3]=>[3,4,1,5,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,3,1,3]=>[3,5,1,4,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,3,3,1]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,3,1,1,3]=>[4,5,1,3,6,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,3,1,3,1]=>[4,6,1,3,5,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,3,3,1,1]=>[5,6,1,3,4,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,1,1,2,3,6]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,2,6,3]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,3,2,6]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,3,6,2]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,6,2,3]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,6,3,2]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,1,3,6]=>[2,4,3,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,1,6,3]=>[2,4,3,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,3,1,6]=>[2,5,3,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,3,6,1]=>[2,6,3,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,6,1,3]=>[2,5,3,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,6,3,1]=>[2,6,3,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,1,2,6]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,1,6,2]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,2,1,6]=>[2,5,4,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,2,6,1]=>[2,6,4,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,6,1,2]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,6,2,1]=>[2,6,5,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,1,2,3]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,1,3,2]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,2,1,3]=>[2,5,4,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,2,3,1]=>[2,6,4,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,3,1,2]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,3,2,1]=>[2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,1,3,6]=>[3,4,2,1,5,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,1,6,3]=>[3,4,2,1,6,5]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,3,1,6]=>[3,5,2,1,4,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,3,6,1]=>[3,6,2,1,4,5]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,6,1,3]=>[3,5,2,1,6,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,6,3,1]=>[3,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,3,1,1,6]=>[4,5,2,1,3,6]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,3,1,6,1]=>[4,6,2,1,3,5]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,3,6,1,1]=>[5,6,2,1,3,4]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,6,1,1,3]=>[4,5,2,1,6,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,6,1,3,1]=>[4,6,2,1,5,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,6,3,1,1]=>[5,6,2,1,4,3]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,3,1,1,2,6]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,1,6,2]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,2,1,6]=>[3,5,4,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,2,6,1]=>[3,6,4,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,6,1,2]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,6,2,1]=>[3,6,5,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,2,1,1,6]=>[4,5,3,1,2,6]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,3,2,1,6,1]=>[4,6,3,1,2,5]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,3,2,6,1,1]=>[5,6,3,1,2,4]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,3,6,1,1,2]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,6,1,2,1]=>[4,6,5,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,6,2,1,1]=>[5,6,4,1,2,3]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[3,6,1,1,2,3]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,1,3,2]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,2,1,3]=>[3,5,4,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,2,3,1]=>[3,6,4,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,3,1,2]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,3,2,1]=>[3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,2,1,1,3]=>[4,5,3,1,6,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,6,2,1,3,1]=>[4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,6,2,3,1,1]=>[5,6,3,1,4,2]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,6,3,1,1,2]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,3,1,2,1]=>[4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,3,2,1,1]=>[5,6,4,1,3,2]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[6,1,1,2,3,3]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,3,2,3]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,3,3,2]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,1,3,3]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,3,1,3]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,3,3,1]=>[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,1,2,3]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,1,3,2]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,2,1,3]=>[2,5,4,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,2,3,1]=>[2,6,4,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,3,1,2]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,3,2,1]=>[2,6,5,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,1,1,3,3]=>[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,3,1,3]=>[3,5,2,4,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,3,3,1]=>[3,6,2,4,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,3,1,1,3]=>[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,3,1,3,1]=>[4,6,2,3,5,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,3,3,1,1]=>[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,3,1,1,2,3]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,1,3,2]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,2,1,3]=>[3,5,4,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,2,3,1]=>[3,6,4,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,3,1,2]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,3,2,1]=>[3,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,2,1,1,3]=>[4,5,3,2,6,1]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,3,2,1,3,1]=>[4,6,3,2,5,1]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,3,2,3,1,1]=>[5,6,3,2,4,1]=>[5,6,3,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,3,3,1,1,2]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,3,3,1,2,1]=>[4,6,5,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,3,3,2,1,1]=>[5,6,4,2,3,1]=>[5,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[1,1,2,3,4,4]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,4,3,4]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,4,4,3]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,2,4,4]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,4,2,4]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,4,4,2]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,2,3,4]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,2,4,3]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,3,2,4]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,3,4,2]=>[1,2,6,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,4,2,3]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,4,3,2]=>[1,2,6,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,3,4,4]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,4,3,4]=>[1,3,2,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,4,4,3]=>[1,3,2,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,1,4,4]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,4,1,4]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,4,4,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,1,3,4]=>[1,4,2,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,1,4,3]=>[1,4,2,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,3,1,4]=>[1,5,2,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,3,4,1]=>[1,6,2,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,4,1,3]=>[1,5,2,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,4,3,1]=>[1,6,2,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,2,4,4]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,4,2,4]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,4,4,2]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,1,4,4]=>[1,4,3,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,4,1,4]=>[1,5,3,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,4,4,1]=>[1,6,3,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,1,2,4]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,1,4,2]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,2,1,4]=>[1,5,4,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,2,4,1]=>[1,6,4,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,4,1,2]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,4,2,1]=>[1,6,5,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,2,3,4]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,2,4,3]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,3,2,4]=>[1,3,5,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,3,4,2]=>[1,3,6,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,4,2,3]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,4,3,2]=>[1,3,6,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,1,3,4]=>[1,4,3,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,1,4,3]=>[1,4,3,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,3,1,4]=>[1,5,3,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,3,4,1]=>[1,6,3,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,4,1,3]=>[1,5,3,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,4,3,1]=>[1,6,3,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,1,2,4]=>[1,4,5,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,1,4,2]=>[1,4,6,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,2,1,4]=>[1,5,4,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,2,4,1]=>[1,6,4,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,4,1,2]=>[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,4,2,1]=>[1,6,5,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,1,2,3]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,1,3,2]=>[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,2,1,3]=>[1,5,4,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,2,3,1]=>[1,6,4,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,3,1,2]=>[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,3,2,1]=>[1,6,5,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,3,4,4]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,4,3,4]=>[2,3,1,5,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,4,4,3]=>[2,3,1,6,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,1,4,4]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,4,1,4]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,4,4,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,1,3,4]=>[2,4,1,5,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,1,4,3]=>[2,4,1,6,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,3,1,4]=>[2,5,1,4,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,3,4,1]=>[2,6,1,4,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,4,1,3]=>[2,5,1,6,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,4,3,1]=>[2,6,1,5,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,1,4,4]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,4,1,4]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,4,4,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,4,1,1,4]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,4,1,4,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,4,4,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,1,1,3,4]=>[3,4,1,5,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,1,4,3]=>[3,4,1,6,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,3,1,4]=>[3,5,1,4,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,3,4,1]=>[3,6,1,4,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,4,1,3]=>[3,5,1,6,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,4,3,1]=>[3,6,1,5,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,3,1,1,4]=>[4,5,1,3,2,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,3,1,4,1]=>[4,6,1,3,2,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,3,4,1,1]=>[5,6,1,3,2,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,4,1,1,3]=>[4,5,1,6,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,4,1,3,1]=>[4,6,1,5,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,4,3,1,1]=>[5,6,1,4,2,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,1,1,2,4,4]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,4,2,4]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,4,4,2]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,1,4,4]=>[2,4,3,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,4,1,4]=>[2,5,3,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,4,4,1]=>[2,6,3,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,1,2,4]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,1,4,2]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,2,1,4]=>[2,5,4,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,2,4,1]=>[2,6,4,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,4,1,2]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,4,2,1]=>[2,6,5,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,1,4,4]=>[3,4,2,1,5,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,4,1,4]=>[3,5,2,1,4,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,4,4,1]=>[3,6,2,1,4,5]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,1,1,4]=>[4,5,2,1,3,6]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,4,1,4,1]=>[4,6,2,1,3,5]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,4,4,1,1]=>[5,6,2,1,3,4]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,4,1,1,2,4]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,1,4,2]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,2,1,4]=>[3,5,4,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,2,4,1]=>[3,6,4,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,4,1,2]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,4,2,1]=>[3,6,5,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,2,1,1,4]=>[4,5,3,1,2,6]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,4,2,1,4,1]=>[4,6,3,1,2,5]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,4,2,4,1,1]=>[5,6,3,1,2,4]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,4,4,1,1,2]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,4,1,2,1]=>[4,6,5,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,4,2,1,1]=>[5,6,4,1,2,3]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[4,1,1,2,3,4]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,2,4,3]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,3,2,4]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,3,4,2]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,4,2,3]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,4,3,2]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,1,3,4]=>[2,4,3,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,1,4,3]=>[2,4,3,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,3,1,4]=>[2,5,3,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,3,4,1]=>[2,6,3,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,4,1,3]=>[2,5,3,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,4,3,1]=>[2,6,3,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,1,2,4]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,1,4,2]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,2,1,4]=>[2,5,4,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,2,4,1]=>[2,6,4,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,4,1,2]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,4,2,1]=>[2,6,5,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,1,2,3]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,1,3,2]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,2,1,3]=>[2,5,4,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,2,3,1]=>[2,6,4,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,3,1,2]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,3,2,1]=>[2,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,1,3,4]=>[3,4,2,5,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,1,4,3]=>[3,4,2,6,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,3,1,4]=>[3,5,2,4,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,3,4,1]=>[3,6,2,4,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,4,1,3]=>[3,5,2,6,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,4,3,1]=>[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,3,1,1,4]=>[4,5,2,3,1,6]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,1,4,1]=>[4,6,2,3,1,5]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,4,1,1]=>[5,6,2,3,1,4]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,4,1,1,3]=>[4,5,2,6,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,4,1,3,1]=>[4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,4,3,1,1]=>[5,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,3,1,1,2,4]=>[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,1,4,2]=>[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,2,1,4]=>[3,5,4,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,2,4,1]=>[3,6,4,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,4,1,2]=>[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,4,2,1]=>[3,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,2,1,1,4]=>[4,5,3,2,1,6]=>[4,6,3,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,1,4,1]=>[4,6,3,2,1,5]=>[4,6,3,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,4,1,1]=>[5,6,3,2,1,4]=>[5,6,3,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,3,4,1,1,2]=>[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,4,1,2,1]=>[4,6,5,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,4,2,1,1]=>[5,6,4,2,1,3]=>[5,6,4,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[4,4,1,1,2,3]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,1,3,2]=>[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,2,1,3]=>[3,5,4,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,2,3,1]=>[3,6,4,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,3,1,2]=>[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,3,2,1]=>[3,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,2,1,1,3]=>[4,5,3,6,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,4,2,1,3,1]=>[4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,4,2,3,1,1]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,4,3,1,1,2]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,4,3,1,2,1]=>[4,6,5,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,4,3,2,1,1]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[1,1,2,3,4,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,3,5,4]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,4,3,5]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,4,5,3]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,5,3,4]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,5,4,3]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,2,4,5]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,2,5,4]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,4,2,5]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,4,5,2]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,5,2,4]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,5,4,2]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,2,3,5]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,2,5,3]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,3,2,5]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,3,5,2]=>[1,2,6,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,5,2,3]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,5,3,2]=>[1,2,6,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,2,3,4]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,2,4,3]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,3,2,4]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,3,4,2]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,4,2,3]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,4,3,2]=>[1,2,6,5,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,3,4,5]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,3,5,4]=>[1,3,2,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,4,3,5]=>[1,3,2,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,4,5,3]=>[1,3,2,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,5,3,4]=>[1,3,2,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,5,4,3]=>[1,3,2,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,1,4,5]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,1,5,4]=>[1,4,2,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,4,1,5]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,4,5,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,5,1,4]=>[1,5,2,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,5,4,1]=>[1,6,2,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,1,3,5]=>[1,4,2,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,1,5,3]=>[1,4,2,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,3,1,5]=>[1,5,2,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,3,5,1]=>[1,6,2,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,5,1,3]=>[1,5,2,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,5,3,1]=>[1,6,2,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,1,3,4]=>[1,4,2,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,1,4,3]=>[1,4,2,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,3,1,4]=>[1,5,2,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,3,4,1]=>[1,6,2,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,4,1,3]=>[1,5,2,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,4,3,1]=>[1,6,2,5,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,2,4,5]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,2,5,4]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,4,2,5]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,4,5,2]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,5,2,4]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,5,4,2]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,1,4,5]=>[1,4,3,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,1,5,4]=>[1,4,3,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,4,1,5]=>[1,5,3,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,4,5,1]=>[1,6,3,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,5,1,4]=>[1,5,3,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,5,4,1]=>[1,6,3,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,1,2,5]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,1,5,2]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,2,1,5]=>[1,5,4,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,2,5,1]=>[1,6,4,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,5,1,2]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,5,2,1]=>[1,6,5,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,1,2,4]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,1,4,2]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,2,1,4]=>[1,5,4,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,2,4,1]=>[1,6,4,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,4,1,2]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,4,2,1]=>[1,6,5,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,2,3,5]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,2,5,3]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,3,2,5]=>[1,3,5,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,3,5,2]=>[1,3,6,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,5,2,3]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,5,3,2]=>[1,3,6,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,1,3,5]=>[1,4,3,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,1,5,3]=>[1,4,3,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,3,1,5]=>[1,5,3,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,3,5,1]=>[1,6,3,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,5,1,3]=>[1,5,3,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,5,3,1]=>[1,6,3,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,1,2,5]=>[1,4,5,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,1,5,2]=>[1,4,6,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,2,1,5]=>[1,5,4,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,2,5,1]=>[1,6,4,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,5,1,2]=>[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,5,2,1]=>[1,6,5,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,1,2,3]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,1,3,2]=>[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,2,1,3]=>[1,5,4,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,2,3,1]=>[1,6,4,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,3,1,2]=>[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,3,2,1]=>[1,6,5,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,2,3,4]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,2,4,3]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,3,2,4]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,3,4,2]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,4,2,3]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,4,3,2]=>[1,3,6,5,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,1,3,4]=>[1,4,3,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,1,4,3]=>[1,4,3,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,3,1,4]=>[1,5,3,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,3,4,1]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,4,1,3]=>[1,5,3,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,4,3,1]=>[1,6,3,5,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,1,2,4]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,1,4,2]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,2,1,4]=>[1,5,4,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,2,4,1]=>[1,6,4,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,4,1,2]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,4,2,1]=>[1,6,5,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,1,2,3]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,1,3,2]=>[1,4,6,5,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,2,1,3]=>[1,5,4,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,2,3,1]=>[1,6,4,5,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,3,1,2]=>[1,5,6,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,3,2,1]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,3,4,5]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,3,5,4]=>[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,4,3,5]=>[2,3,1,5,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,4,5,3]=>[2,3,1,6,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,5,3,4]=>[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,5,4,3]=>[2,3,1,6,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,1,4,5]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,1,5,4]=>[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,4,1,5]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,4,5,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,5,1,4]=>[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,5,4,1]=>[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,1,3,5]=>[2,4,1,5,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,1,5,3]=>[2,4,1,6,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,3,1,5]=>[2,5,1,4,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,3,5,1]=>[2,6,1,4,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,5,1,3]=>[2,5,1,6,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,5,3,1]=>[2,6,1,5,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,1,3,4]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,1,4,3]=>[2,4,1,6,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,3,1,4]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,3,4,1]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,4,1,3]=>[2,5,1,6,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,4,3,1]=>[2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,1,4,5]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,1,5,4]=>[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,4,1,5]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,4,5,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,5,1,4]=>[3,5,1,2,6,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,5,4,1]=>[3,6,1,2,5,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,4,1,1,5]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,4,1,5,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,4,5,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,5,1,1,4]=>[4,5,1,2,6,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,5,1,4,1]=>[4,6,1,2,5,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,5,4,1,1]=>[5,6,1,2,4,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,1,1,3,5]=>[3,4,1,5,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,1,5,3]=>[3,4,1,6,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,3,1,5]=>[3,5,1,4,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,3,5,1]=>[3,6,1,4,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,5,1,3]=>[3,5,1,6,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,5,3,1]=>[3,6,1,5,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,3,1,1,5]=>[4,5,1,3,2,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,3,1,5,1]=>[4,6,1,3,2,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,3,5,1,1]=>[5,6,1,3,2,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,5,1,1,3]=>[4,5,1,6,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,5,1,3,1]=>[4,6,1,5,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,5,3,1,1]=>[5,6,1,4,2,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,1,1,3,4]=>[3,4,1,5,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,1,4,3]=>[3,4,1,6,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,3,1,4]=>[3,5,1,4,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,3,4,1]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,4,1,3]=>[3,5,1,6,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,4,3,1]=>[3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,3,1,1,4]=>[4,5,1,3,6,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,3,1,4,1]=>[4,6,1,3,5,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,3,4,1,1]=>[5,6,1,3,4,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,4,1,1,3]=>[4,5,1,6,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,4,1,3,1]=>[4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,4,3,1,1]=>[5,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,1,1,2,4,5]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,2,5,4]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,4,2,5]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,4,5,2]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,5,2,4]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,5,4,2]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,1,4,5]=>[2,4,3,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,1,5,4]=>[2,4,3,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,4,1,5]=>[2,5,3,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,4,5,1]=>[2,6,3,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,5,1,4]=>[2,5,3,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,5,4,1]=>[2,6,3,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,1,2,5]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,1,5,2]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,2,1,5]=>[2,5,4,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,2,5,1]=>[2,6,4,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,5,1,2]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,5,2,1]=>[2,6,5,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,1,2,4]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,1,4,2]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,2,1,4]=>[2,5,4,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,2,4,1]=>[2,6,4,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,4,1,2]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,4,2,1]=>[2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,1,4,5]=>[3,4,2,1,5,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,1,5,4]=>[3,4,2,1,6,5]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,4,1,5]=>[3,5,2,1,4,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,4,5,1]=>[3,6,2,1,4,5]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,5,1,4]=>[3,5,2,1,6,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,5,4,1]=>[3,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,1,1,5]=>[4,5,2,1,3,6]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,4,1,5,1]=>[4,6,2,1,3,5]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,4,5,1,1]=>[5,6,2,1,3,4]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,5,1,1,4]=>[4,5,2,1,6,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,5,1,4,1]=>[4,6,2,1,5,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,5,4,1,1]=>[5,6,2,1,4,3]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,4,1,1,2,5]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,1,5,2]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,2,1,5]=>[3,5,4,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,2,5,1]=>[3,6,4,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,5,1,2]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,5,2,1]=>[3,6,5,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,2,1,1,5]=>[4,5,3,1,2,6]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,4,2,1,5,1]=>[4,6,3,1,2,5]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,4,2,5,1,1]=>[5,6,3,1,2,4]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,4,5,1,1,2]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,5,1,2,1]=>[4,6,5,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,5,2,1,1]=>[5,6,4,1,2,3]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[3,5,1,1,2,4]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,1,4,2]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,2,1,4]=>[3,5,4,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,2,4,1]=>[3,6,4,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,4,1,2]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,4,2,1]=>[3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,2,1,1,4]=>[4,5,3,1,6,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,5,2,1,4,1]=>[4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,5,2,4,1,1]=>[5,6,3,1,4,2]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,5,4,1,1,2]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,4,1,2,1]=>[4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,4,2,1,1]=>[5,6,4,1,3,2]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[4,1,1,2,3,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,2,5,3]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,3,2,5]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,3,5,2]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,5,2,3]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,5,3,2]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,1,3,5]=>[2,4,3,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,1,5,3]=>[2,4,3,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,3,1,5]=>[2,5,3,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,3,5,1]=>[2,6,3,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,5,1,3]=>[2,5,3,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,5,3,1]=>[2,6,3,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,1,2,5]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,1,5,2]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,2,1,5]=>[2,5,4,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,2,5,1]=>[2,6,4,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,5,1,2]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,5,2,1]=>[2,6,5,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,1,2,3]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,1,3,2]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,2,1,3]=>[2,5,4,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,2,3,1]=>[2,6,4,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,3,1,2]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,3,2,1]=>[2,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,1,3,5]=>[3,4,2,5,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,1,5,3]=>[3,4,2,6,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,3,1,5]=>[3,5,2,4,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,3,5,1]=>[3,6,2,4,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,5,1,3]=>[3,5,2,6,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,5,3,1]=>[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,3,1,1,5]=>[4,5,2,3,1,6]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,1,5,1]=>[4,6,2,3,1,5]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,5,1,1]=>[5,6,2,3,1,4]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,5,1,1,3]=>[4,5,2,6,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,1,3,1]=>[4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,3,1,1]=>[5,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,3,1,1,2,5]=>[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,1,5,2]=>[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,2,1,5]=>[3,5,4,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,2,5,1]=>[3,6,4,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,5,1,2]=>[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,5,2,1]=>[3,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,2,1,1,5]=>[4,5,3,2,1,6]=>[4,6,3,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,1,5,1]=>[4,6,3,2,1,5]=>[4,6,3,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,5,1,1]=>[5,6,3,2,1,4]=>[5,6,3,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,3,5,1,1,2]=>[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,5,1,2,1]=>[4,6,5,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,5,2,1,1]=>[5,6,4,2,1,3]=>[5,6,4,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[4,5,1,1,2,3]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,1,3,2]=>[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,2,1,3]=>[3,5,4,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,2,3,1]=>[3,6,4,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,3,1,2]=>[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,3,2,1]=>[3,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,2,1,1,3]=>[4,5,3,6,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,2,1,3,1]=>[4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,2,3,1,1]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,5,3,1,1,2]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,3,1,2,1]=>[4,6,5,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,3,2,1,1]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,1,1,2,3,4]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,2,4,3]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,3,2,4]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,3,4,2]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,4,2,3]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,4,3,2]=>[2,3,6,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,1,3,4]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,1,4,3]=>[2,4,3,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,3,1,4]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,3,4,1]=>[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,4,1,3]=>[2,5,3,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,4,3,1]=>[2,6,3,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,1,2,4]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,1,4,2]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,2,1,4]=>[2,5,4,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,2,4,1]=>[2,6,4,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,4,1,2]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,4,2,1]=>[2,6,5,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,1,2,3]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,1,3,2]=>[2,4,6,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,2,1,3]=>[2,5,4,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,2,3,1]=>[2,6,4,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,3,1,2]=>[2,5,6,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,3,2,1]=>[2,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,1,3,4]=>[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,1,4,3]=>[3,4,2,6,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,3,1,4]=>[3,5,2,4,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,3,4,1]=>[3,6,2,4,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,4,1,3]=>[3,5,2,6,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,4,3,1]=>[3,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,3,1,1,4]=>[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,3,1,4,1]=>[4,6,2,3,5,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,3,4,1,1]=>[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,1,1,3]=>[4,5,2,6,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,4,1,3,1]=>[4,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,4,3,1,1]=>[5,6,2,4,3,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,3,1,1,2,4]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,1,4,2]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,2,1,4]=>[3,5,4,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,2,4,1]=>[3,6,4,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,4,1,2]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,4,2,1]=>[3,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,2,1,1,4]=>[4,5,3,2,6,1]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[5,3,2,1,4,1]=>[4,6,3,2,5,1]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[5,3,2,4,1,1]=>[5,6,3,2,4,1]=>[5,6,3,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,4,1,1,2]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,4,1,2,1]=>[4,6,5,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,4,2,1,1]=>[5,6,4,2,3,1]=>[5,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,1,1,2,3]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,1,3,2]=>[3,4,6,5,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,2,1,3]=>[3,5,4,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,2,3,1]=>[3,6,4,5,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,3,1,2]=>[3,5,6,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,3,2,1]=>[3,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,2,1,1,3]=>[4,5,3,6,2,1]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[5,4,2,1,3,1]=>[4,6,3,5,2,1]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[5,4,2,3,1,1]=>[5,6,3,4,2,1]=>[5,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,4,3,1,1,2]=>[4,5,6,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[5,4,3,1,2,1]=>[4,6,5,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[5,4,3,2,1,1]=>[5,6,4,3,2,1]=>[5,6,4,3,2,1]=>[[[[[.,.],.],.],.],[.,.]]
[1,1,2,3,4,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,3,6,4]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,4,3,6]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,4,6,3]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,6,3,4]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,6,4,3]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,2,4,6]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,2,6,4]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,4,2,6]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,4,6,2]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,6,2,4]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,6,4,2]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,2,3,6]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,2,6,3]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,3,2,6]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,3,6,2]=>[1,2,6,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,6,2,3]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,6,3,2]=>[1,2,6,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,2,3,4]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,2,4,3]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,3,2,4]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,3,4,2]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,4,2,3]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,4,3,2]=>[1,2,6,5,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,3,4,6]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,3,6,4]=>[1,3,2,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,4,3,6]=>[1,3,2,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,4,6,3]=>[1,3,2,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,6,3,4]=>[1,3,2,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,6,4,3]=>[1,3,2,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,1,4,6]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,1,6,4]=>[1,4,2,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,4,1,6]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,4,6,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,6,1,4]=>[1,5,2,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,6,4,1]=>[1,6,2,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,1,3,6]=>[1,4,2,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,1,6,3]=>[1,4,2,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,3,1,6]=>[1,5,2,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,3,6,1]=>[1,6,2,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,6,1,3]=>[1,5,2,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,6,3,1]=>[1,6,2,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,1,3,4]=>[1,4,2,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,1,4,3]=>[1,4,2,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,3,1,4]=>[1,5,2,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,3,4,1]=>[1,6,2,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,4,1,3]=>[1,5,2,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,4,3,1]=>[1,6,2,5,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,2,4,6]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,2,6,4]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,4,2,6]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,4,6,2]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,6,2,4]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,6,4,2]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,1,4,6]=>[1,4,3,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,1,6,4]=>[1,4,3,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,4,1,6]=>[1,5,3,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,4,6,1]=>[1,6,3,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,6,1,4]=>[1,5,3,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,6,4,1]=>[1,6,3,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,1,2,6]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,1,6,2]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,2,1,6]=>[1,5,4,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,2,6,1]=>[1,6,4,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,6,1,2]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,6,2,1]=>[1,6,5,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,1,2,4]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,1,4,2]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,2,1,4]=>[1,5,4,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,2,4,1]=>[1,6,4,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,4,1,2]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,4,2,1]=>[1,6,5,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,2,3,6]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,2,6,3]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,3,2,6]=>[1,3,5,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,3,6,2]=>[1,3,6,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,6,2,3]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,6,3,2]=>[1,3,6,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,1,3,6]=>[1,4,3,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,1,6,3]=>[1,4,3,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,3,1,6]=>[1,5,3,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,3,6,1]=>[1,6,3,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,6,1,3]=>[1,5,3,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,6,3,1]=>[1,6,3,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,1,2,6]=>[1,4,5,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,1,6,2]=>[1,4,6,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,2,1,6]=>[1,5,4,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,2,6,1]=>[1,6,4,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,6,1,2]=>[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,6,2,1]=>[1,6,5,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,1,2,3]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,1,3,2]=>[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,2,1,3]=>[1,5,4,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,2,3,1]=>[1,6,4,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,3,1,2]=>[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,3,2,1]=>[1,6,5,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,2,3,4]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,2,4,3]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,3,2,4]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,3,4,2]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,4,2,3]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,4,3,2]=>[1,3,6,5,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,1,3,4]=>[1,4,3,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,1,4,3]=>[1,4,3,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,3,1,4]=>[1,5,3,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,3,4,1]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,4,1,3]=>[1,5,3,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,4,3,1]=>[1,6,3,5,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,1,2,4]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,1,4,2]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,2,1,4]=>[1,5,4,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,2,4,1]=>[1,6,4,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,4,1,2]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,4,2,1]=>[1,6,5,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,1,2,3]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,1,3,2]=>[1,4,6,5,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,2,1,3]=>[1,5,4,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,2,3,1]=>[1,6,4,5,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,3,1,2]=>[1,5,6,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,3,2,1]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,3,4,6]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,3,6,4]=>[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,4,3,6]=>[2,3,1,5,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,4,6,3]=>[2,3,1,6,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,6,3,4]=>[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,6,4,3]=>[2,3,1,6,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,1,4,6]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,1,6,4]=>[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,4,1,6]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,4,6,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,6,1,4]=>[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,6,4,1]=>[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,1,3,6]=>[2,4,1,5,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,1,6,3]=>[2,4,1,6,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,3,1,6]=>[2,5,1,4,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,3,6,1]=>[2,6,1,4,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,6,1,3]=>[2,5,1,6,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,6,3,1]=>[2,6,1,5,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,1,3,4]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,1,4,3]=>[2,4,1,6,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,3,1,4]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,3,4,1]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,4,1,3]=>[2,5,1,6,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,4,3,1]=>[2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,1,4,6]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,1,6,4]=>[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,4,1,6]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,4,6,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,6,1,4]=>[3,5,1,2,6,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,6,4,1]=>[3,6,1,2,5,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,4,1,1,6]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,4,1,6,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,4,6,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,6,1,1,4]=>[4,5,1,2,6,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,6,1,4,1]=>[4,6,1,2,5,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,6,4,1,1]=>[5,6,1,2,4,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,1,1,3,6]=>[3,4,1,5,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,1,6,3]=>[3,4,1,6,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,3,1,6]=>[3,5,1,4,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,3,6,1]=>[3,6,1,4,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,6,1,3]=>[3,5,1,6,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,6,3,1]=>[3,6,1,5,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,3,1,1,6]=>[4,5,1,3,2,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,3,1,6,1]=>[4,6,1,3,2,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,3,6,1,1]=>[5,6,1,3,2,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,6,1,1,3]=>[4,5,1,6,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,6,1,3,1]=>[4,6,1,5,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,6,3,1,1]=>[5,6,1,4,2,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,1,1,3,4]=>[3,4,1,5,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,1,4,3]=>[3,4,1,6,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,3,1,4]=>[3,5,1,4,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,3,4,1]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,4,1,3]=>[3,5,1,6,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,4,3,1]=>[3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,3,1,1,4]=>[4,5,1,3,6,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,3,1,4,1]=>[4,6,1,3,5,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,3,4,1,1]=>[5,6,1,3,4,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,4,1,1,3]=>[4,5,1,6,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,4,1,3,1]=>[4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,4,3,1,1]=>[5,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,1,1,2,4,6]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,2,6,4]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,4,2,6]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,4,6,2]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,6,2,4]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,6,4,2]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,1,4,6]=>[2,4,3,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,1,6,4]=>[2,4,3,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,4,1,6]=>[2,5,3,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,4,6,1]=>[2,6,3,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,6,1,4]=>[2,5,3,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,6,4,1]=>[2,6,3,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,1,2,6]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,1,6,2]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,2,1,6]=>[2,5,4,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,2,6,1]=>[2,6,4,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,6,1,2]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,6,2,1]=>[2,6,5,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,1,2,4]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,1,4,2]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,2,1,4]=>[2,5,4,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,2,4,1]=>[2,6,4,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,4,1,2]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,4,2,1]=>[2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,1,4,6]=>[3,4,2,1,5,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,1,6,4]=>[3,4,2,1,6,5]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,4,1,6]=>[3,5,2,1,4,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,4,6,1]=>[3,6,2,1,4,5]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,6,1,4]=>[3,5,2,1,6,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,6,4,1]=>[3,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,4,1,1,6]=>[4,5,2,1,3,6]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,4,1,6,1]=>[4,6,2,1,3,5]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,4,6,1,1]=>[5,6,2,1,3,4]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,6,1,1,4]=>[4,5,2,1,6,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,6,1,4,1]=>[4,6,2,1,5,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,6,4,1,1]=>[5,6,2,1,4,3]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,4,1,1,2,6]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,1,6,2]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,2,1,6]=>[3,5,4,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,2,6,1]=>[3,6,4,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,6,1,2]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,6,2,1]=>[3,6,5,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,2,1,1,6]=>[4,5,3,1,2,6]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,4,2,1,6,1]=>[4,6,3,1,2,5]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,4,2,6,1,1]=>[5,6,3,1,2,4]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,4,6,1,1,2]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,6,1,2,1]=>[4,6,5,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,6,2,1,1]=>[5,6,4,1,2,3]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[3,6,1,1,2,4]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,1,4,2]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,2,1,4]=>[3,5,4,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,2,4,1]=>[3,6,4,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,4,1,2]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,4,2,1]=>[3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,2,1,1,4]=>[4,5,3,1,6,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,6,2,1,4,1]=>[4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,6,2,4,1,1]=>[5,6,3,1,4,2]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,6,4,1,1,2]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,4,1,2,1]=>[4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,4,2,1,1]=>[5,6,4,1,3,2]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[4,1,1,2,3,6]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,2,6,3]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,3,2,6]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,3,6,2]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,6,2,3]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,6,3,2]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,1,3,6]=>[2,4,3,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,1,6,3]=>[2,4,3,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,3,1,6]=>[2,5,3,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,3,6,1]=>[2,6,3,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,6,1,3]=>[2,5,3,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,6,3,1]=>[2,6,3,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,1,2,6]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,1,6,2]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,2,1,6]=>[2,5,4,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,2,6,1]=>[2,6,4,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,6,1,2]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,6,2,1]=>[2,6,5,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,1,2,3]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,1,3,2]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,2,1,3]=>[2,5,4,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,2,3,1]=>[2,6,4,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,3,1,2]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,3,2,1]=>[2,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,1,3,6]=>[3,4,2,5,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,1,6,3]=>[3,4,2,6,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,3,1,6]=>[3,5,2,4,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,3,6,1]=>[3,6,2,4,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,6,1,3]=>[3,5,2,6,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,6,3,1]=>[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,3,1,1,6]=>[4,5,2,3,1,6]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,1,6,1]=>[4,6,2,3,1,5]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,6,1,1]=>[5,6,2,3,1,4]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,6,1,1,3]=>[4,5,2,6,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,1,3,1]=>[4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,3,1,1]=>[5,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,3,1,1,2,6]=>[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,1,6,2]=>[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,2,1,6]=>[3,5,4,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,2,6,1]=>[3,6,4,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,6,1,2]=>[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,6,2,1]=>[3,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,2,1,1,6]=>[4,5,3,2,1,6]=>[4,6,3,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,1,6,1]=>[4,6,3,2,1,5]=>[4,6,3,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,6,1,1]=>[5,6,3,2,1,4]=>[5,6,3,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,3,6,1,1,2]=>[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,6,1,2,1]=>[4,6,5,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,6,2,1,1]=>[5,6,4,2,1,3]=>[5,6,4,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[4,6,1,1,2,3]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,1,3,2]=>[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,2,1,3]=>[3,5,4,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,2,3,1]=>[3,6,4,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,3,1,2]=>[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,3,2,1]=>[3,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,2,1,1,3]=>[4,5,3,6,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,2,1,3,1]=>[4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,2,3,1,1]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,6,3,1,1,2]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,3,1,2,1]=>[4,6,5,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,3,2,1,1]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[6,1,1,2,3,4]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,2,4,3]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,3,2,4]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,3,4,2]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,4,2,3]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,4,3,2]=>[2,3,6,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,1,3,4]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,1,4,3]=>[2,4,3,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,3,1,4]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,3,4,1]=>[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,4,1,3]=>[2,5,3,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,4,3,1]=>[2,6,3,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,1,2,4]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,1,4,2]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,2,1,4]=>[2,5,4,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,2,4,1]=>[2,6,4,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,4,1,2]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,4,2,1]=>[2,6,5,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,1,2,3]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,1,3,2]=>[2,4,6,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,2,1,3]=>[2,5,4,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,2,3,1]=>[2,6,4,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,3,1,2]=>[2,5,6,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,3,2,1]=>[2,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,1,1,3,4]=>[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,1,4,3]=>[3,4,2,6,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,3,1,4]=>[3,5,2,4,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,3,4,1]=>[3,6,2,4,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,4,1,3]=>[3,5,2,6,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,4,3,1]=>[3,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,3,1,1,4]=>[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,3,1,4,1]=>[4,6,2,3,5,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,3,4,1,1]=>[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,4,1,1,3]=>[4,5,2,6,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,4,1,3,1]=>[4,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,4,3,1,1]=>[5,6,2,4,3,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,3,1,1,2,4]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,1,4,2]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,2,1,4]=>[3,5,4,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,2,4,1]=>[3,6,4,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,4,1,2]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,4,2,1]=>[3,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,2,1,1,4]=>[4,5,3,2,6,1]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,3,2,1,4,1]=>[4,6,3,2,5,1]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,3,2,4,1,1]=>[5,6,3,2,4,1]=>[5,6,3,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,3,4,1,1,2]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,3,4,1,2,1]=>[4,6,5,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,3,4,2,1,1]=>[5,6,4,2,3,1]=>[5,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[6,4,1,1,2,3]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,1,3,2]=>[3,4,6,5,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,2,1,3]=>[3,5,4,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,2,3,1]=>[3,6,4,5,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,3,1,2]=>[3,5,6,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,3,2,1]=>[3,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,2,1,1,3]=>[4,5,3,6,2,1]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,4,2,1,3,1]=>[4,6,3,5,2,1]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,4,2,3,1,1]=>[5,6,3,4,2,1]=>[5,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,4,3,1,1,2]=>[4,5,6,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,4,3,1,2,1]=>[4,6,5,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,4,3,2,1,1]=>[5,6,4,3,2,1]=>[5,6,4,3,2,1]=>[[[[[.,.],.],.],.],[.,.]]
[1,1,2,3,5,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,5,3,5]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,5,5,3]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,2,5,5]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,5,2,5]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,5,5,2]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,2,3,5]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,2,5,3]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,3,2,5]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,3,5,2]=>[1,2,6,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,5,2,3]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,5,3,2]=>[1,2,6,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,3,5,5]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,5,3,5]=>[1,3,2,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,5,5,3]=>[1,3,2,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,1,5,5]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,5,1,5]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,5,5,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,1,3,5]=>[1,4,2,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,1,5,3]=>[1,4,2,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,3,1,5]=>[1,5,2,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,3,5,1]=>[1,6,2,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,5,1,3]=>[1,5,2,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,5,3,1]=>[1,6,2,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,2,5,5]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,5,2,5]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,5,5,2]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,1,5,5]=>[1,4,3,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,5,1,5]=>[1,5,3,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,5,5,1]=>[1,6,3,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,1,2,5]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,1,5,2]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,2,1,5]=>[1,5,4,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,2,5,1]=>[1,6,4,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,5,1,2]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,5,2,1]=>[1,6,5,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,2,3,5]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,2,5,3]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,3,2,5]=>[1,3,5,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,3,5,2]=>[1,3,6,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,5,2,3]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,5,3,2]=>[1,3,6,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,1,3,5]=>[1,4,3,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,1,5,3]=>[1,4,3,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,3,1,5]=>[1,5,3,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,3,5,1]=>[1,6,3,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,5,1,3]=>[1,5,3,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,5,3,1]=>[1,6,3,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,1,2,5]=>[1,4,5,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,1,5,2]=>[1,4,6,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,2,1,5]=>[1,5,4,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,2,5,1]=>[1,6,4,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,5,1,2]=>[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,5,2,1]=>[1,6,5,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,1,2,3]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,1,3,2]=>[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,2,1,3]=>[1,5,4,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,2,3,1]=>[1,6,4,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,3,1,2]=>[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,3,2,1]=>[1,6,5,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,3,5,5]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,5,3,5]=>[2,3,1,5,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,5,5,3]=>[2,3,1,6,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,1,5,5]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,5,1,5]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,5,5,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,1,3,5]=>[2,4,1,5,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,1,5,3]=>[2,4,1,6,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,3,1,5]=>[2,5,1,4,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,3,5,1]=>[2,6,1,4,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,5,1,3]=>[2,5,1,6,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,5,3,1]=>[2,6,1,5,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,1,5,5]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,5,1,5]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,5,5,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,5,1,1,5]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,5,1,5,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,5,5,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,1,1,3,5]=>[3,4,1,5,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,1,5,3]=>[3,4,1,6,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,3,1,5]=>[3,5,1,4,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,3,5,1]=>[3,6,1,4,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,5,1,3]=>[3,5,1,6,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,5,3,1]=>[3,6,1,5,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,3,1,1,5]=>[4,5,1,3,2,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,3,1,5,1]=>[4,6,1,3,2,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,3,5,1,1]=>[5,6,1,3,2,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,5,1,1,3]=>[4,5,1,6,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,5,1,3,1]=>[4,6,1,5,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,5,3,1,1]=>[5,6,1,4,2,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,1,1,2,5,5]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,5,2,5]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,5,5,2]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,1,5,5]=>[2,4,3,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,5,1,5]=>[2,5,3,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,5,5,1]=>[2,6,3,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,1,2,5]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,1,5,2]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,2,1,5]=>[2,5,4,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,2,5,1]=>[2,6,4,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,5,1,2]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,5,2,1]=>[2,6,5,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,1,5,5]=>[3,4,2,1,5,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,5,1,5]=>[3,5,2,1,4,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,5,5,1]=>[3,6,2,1,4,5]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,5,1,1,5]=>[4,5,2,1,3,6]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,5,1,5,1]=>[4,6,2,1,3,5]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,5,5,1,1]=>[5,6,2,1,3,4]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,5,1,1,2,5]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,1,5,2]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,2,1,5]=>[3,5,4,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,2,5,1]=>[3,6,4,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,5,1,2]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,5,2,1]=>[3,6,5,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,2,1,1,5]=>[4,5,3,1,2,6]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,5,2,1,5,1]=>[4,6,3,1,2,5]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,5,2,5,1,1]=>[5,6,3,1,2,4]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,5,5,1,1,2]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,5,1,2,1]=>[4,6,5,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,5,2,1,1]=>[5,6,4,1,2,3]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,1,1,2,3,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,2,5,3]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,3,2,5]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,3,5,2]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,5,2,3]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,5,3,2]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,1,3,5]=>[2,4,3,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,1,5,3]=>[2,4,3,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,3,1,5]=>[2,5,3,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,3,5,1]=>[2,6,3,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,5,1,3]=>[2,5,3,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,5,3,1]=>[2,6,3,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,1,2,5]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,1,5,2]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,2,1,5]=>[2,5,4,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,2,5,1]=>[2,6,4,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,5,1,2]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,5,2,1]=>[2,6,5,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,1,2,3]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,1,3,2]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,2,1,3]=>[2,5,4,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,2,3,1]=>[2,6,4,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,3,1,2]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,3,2,1]=>[2,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,1,3,5]=>[3,4,2,5,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,1,5,3]=>[3,4,2,6,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,3,1,5]=>[3,5,2,4,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,3,5,1]=>[3,6,2,4,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,5,1,3]=>[3,5,2,6,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,5,3,1]=>[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,3,1,1,5]=>[4,5,2,3,1,6]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,3,1,5,1]=>[4,6,2,3,1,5]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,3,5,1,1]=>[5,6,2,3,1,4]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,5,1,1,3]=>[4,5,2,6,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,5,1,3,1]=>[4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,5,3,1,1]=>[5,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,3,1,1,2,5]=>[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,1,5,2]=>[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,2,1,5]=>[3,5,4,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,2,5,1]=>[3,6,4,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,5,1,2]=>[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,5,2,1]=>[3,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,2,1,1,5]=>[4,5,3,2,1,6]=>[4,6,3,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[5,3,2,1,5,1]=>[4,6,3,2,1,5]=>[4,6,3,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[5,3,2,5,1,1]=>[5,6,3,2,1,4]=>[5,6,3,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,5,1,1,2]=>[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,5,1,2,1]=>[4,6,5,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,5,2,1,1]=>[5,6,4,2,1,3]=>[5,6,4,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,5,1,1,2,3]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,1,1,3,2]=>[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,1,2,1,3]=>[3,5,4,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,1,2,3,1]=>[3,6,4,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,1,3,1,2]=>[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,1,3,2,1]=>[3,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,2,1,1,3]=>[4,5,3,6,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,5,2,1,3,1]=>[4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,5,2,3,1,1]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,5,3,1,1,2]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,5,3,1,2,1]=>[4,6,5,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,5,3,2,1,1]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[1,1,2,3,5,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,3,6,5]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,5,3,6]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,5,6,3]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,6,3,5]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,6,5,3]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,2,5,6]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,2,6,5]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,5,2,6]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,5,6,2]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,6,2,5]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,6,5,2]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,2,3,6]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,2,6,3]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,3,2,6]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,3,6,2]=>[1,2,6,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,6,2,3]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,6,3,2]=>[1,2,6,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,2,3,5]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,2,5,3]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,3,2,5]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,3,5,2]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,5,2,3]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,5,3,2]=>[1,2,6,5,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,3,5,6]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,3,6,5]=>[1,3,2,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,5,3,6]=>[1,3,2,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,5,6,3]=>[1,3,2,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,6,3,5]=>[1,3,2,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,6,5,3]=>[1,3,2,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,1,5,6]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,1,6,5]=>[1,4,2,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,5,1,6]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,5,6,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,6,1,5]=>[1,5,2,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,6,5,1]=>[1,6,2,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,1,3,6]=>[1,4,2,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,1,6,3]=>[1,4,2,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,3,1,6]=>[1,5,2,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,3,6,1]=>[1,6,2,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,6,1,3]=>[1,5,2,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,6,3,1]=>[1,6,2,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,1,3,5]=>[1,4,2,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,1,5,3]=>[1,4,2,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,3,1,5]=>[1,5,2,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,3,5,1]=>[1,6,2,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,5,1,3]=>[1,5,2,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,5,3,1]=>[1,6,2,5,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,2,5,6]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,2,6,5]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,5,2,6]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,5,6,2]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,6,2,5]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,6,5,2]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,1,5,6]=>[1,4,3,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,1,6,5]=>[1,4,3,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,5,1,6]=>[1,5,3,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,5,6,1]=>[1,6,3,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,6,1,5]=>[1,5,3,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,6,5,1]=>[1,6,3,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,1,2,6]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,1,6,2]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,2,1,6]=>[1,5,4,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,2,6,1]=>[1,6,4,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,6,1,2]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,6,2,1]=>[1,6,5,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,1,2,5]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,1,5,2]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,2,1,5]=>[1,5,4,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,2,5,1]=>[1,6,4,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,5,1,2]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,5,2,1]=>[1,6,5,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,2,3,6]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,2,6,3]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,3,2,6]=>[1,3,5,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,3,6,2]=>[1,3,6,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,6,2,3]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,6,3,2]=>[1,3,6,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,1,3,6]=>[1,4,3,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,1,6,3]=>[1,4,3,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,3,1,6]=>[1,5,3,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,3,6,1]=>[1,6,3,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,6,1,3]=>[1,5,3,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,6,3,1]=>[1,6,3,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,1,2,6]=>[1,4,5,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,1,6,2]=>[1,4,6,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,2,1,6]=>[1,5,4,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,2,6,1]=>[1,6,4,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,6,1,2]=>[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,6,2,1]=>[1,6,5,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,6,1,2,3]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,6,1,3,2]=>[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,6,2,1,3]=>[1,5,4,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,6,2,3,1]=>[1,6,4,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,6,3,1,2]=>[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,6,3,2,1]=>[1,6,5,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,2,3,5]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,2,5,3]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,3,2,5]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,3,5,2]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,5,2,3]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,5,3,2]=>[1,3,6,5,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,1,3,5]=>[1,4,3,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,1,5,3]=>[1,4,3,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,3,1,5]=>[1,5,3,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,3,5,1]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,5,1,3]=>[1,5,3,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,5,3,1]=>[1,6,3,5,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,1,2,5]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,1,5,2]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,2,1,5]=>[1,5,4,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,2,5,1]=>[1,6,4,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,5,1,2]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,5,2,1]=>[1,6,5,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,5,1,2,3]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,5,1,3,2]=>[1,4,6,5,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,5,2,1,3]=>[1,5,4,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,5,2,3,1]=>[1,6,4,5,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,5,3,1,2]=>[1,5,6,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,5,3,2,1]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,3,5,6]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,3,6,5]=>[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,5,3,6]=>[2,3,1,5,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,5,6,3]=>[2,3,1,6,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,6,3,5]=>[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,6,5,3]=>[2,3,1,6,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,1,5,6]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,1,6,5]=>[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,5,1,6]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,5,6,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,6,1,5]=>[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,6,5,1]=>[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,1,3,6]=>[2,4,1,5,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,1,6,3]=>[2,4,1,6,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,3,1,6]=>[2,5,1,4,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,3,6,1]=>[2,6,1,4,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,6,1,3]=>[2,5,1,6,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,6,3,1]=>[2,6,1,5,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,1,3,5]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,1,5,3]=>[2,4,1,6,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,3,1,5]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,3,5,1]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,5,1,3]=>[2,5,1,6,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,5,3,1]=>[2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,1,5,6]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,1,6,5]=>[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,5,1,6]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,5,6,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,6,1,5]=>[3,5,1,2,6,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,6,5,1]=>[3,6,1,2,5,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,5,1,1,6]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,5,1,6,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,5,6,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,6,1,1,5]=>[4,5,1,2,6,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,6,1,5,1]=>[4,6,1,2,5,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,6,5,1,1]=>[5,6,1,2,4,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,1,1,3,6]=>[3,4,1,5,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,1,6,3]=>[3,4,1,6,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,3,1,6]=>[3,5,1,4,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,3,6,1]=>[3,6,1,4,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,6,1,3]=>[3,5,1,6,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,6,3,1]=>[3,6,1,5,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,3,1,1,6]=>[4,5,1,3,2,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,3,1,6,1]=>[4,6,1,3,2,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,3,6,1,1]=>[5,6,1,3,2,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,6,1,1,3]=>[4,5,1,6,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,6,1,3,1]=>[4,6,1,5,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,6,3,1,1]=>[5,6,1,4,2,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,1,1,3,5]=>[3,4,1,5,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,1,5,3]=>[3,4,1,6,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,3,1,5]=>[3,5,1,4,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,3,5,1]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,5,1,3]=>[3,5,1,6,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,5,3,1]=>[3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,3,1,1,5]=>[4,5,1,3,6,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,3,1,5,1]=>[4,6,1,3,5,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,3,5,1,1]=>[5,6,1,3,4,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,5,1,1,3]=>[4,5,1,6,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,5,1,3,1]=>[4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,5,3,1,1]=>[5,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,1,1,2,5,6]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,2,6,5]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,5,2,6]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,5,6,2]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,6,2,5]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,6,5,2]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,1,5,6]=>[2,4,3,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,1,6,5]=>[2,4,3,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,5,1,6]=>[2,5,3,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,5,6,1]=>[2,6,3,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,6,1,5]=>[2,5,3,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,6,5,1]=>[2,6,3,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,1,2,6]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,1,6,2]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,2,1,6]=>[2,5,4,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,2,6,1]=>[2,6,4,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,6,1,2]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,6,2,1]=>[2,6,5,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,1,2,5]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,1,5,2]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,2,1,5]=>[2,5,4,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,2,5,1]=>[2,6,4,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,5,1,2]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,5,2,1]=>[2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,1,5,6]=>[3,4,2,1,5,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,1,6,5]=>[3,4,2,1,6,5]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,5,1,6]=>[3,5,2,1,4,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,5,6,1]=>[3,6,2,1,4,5]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,6,1,5]=>[3,5,2,1,6,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,6,5,1]=>[3,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,5,1,1,6]=>[4,5,2,1,3,6]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,5,1,6,1]=>[4,6,2,1,3,5]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,5,6,1,1]=>[5,6,2,1,3,4]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,6,1,1,5]=>[4,5,2,1,6,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,6,1,5,1]=>[4,6,2,1,5,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,6,5,1,1]=>[5,6,2,1,4,3]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,5,1,1,2,6]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,1,6,2]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,2,1,6]=>[3,5,4,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,2,6,1]=>[3,6,4,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,6,1,2]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,6,2,1]=>[3,6,5,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,2,1,1,6]=>[4,5,3,1,2,6]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,5,2,1,6,1]=>[4,6,3,1,2,5]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,5,2,6,1,1]=>[5,6,3,1,2,4]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,5,6,1,1,2]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,6,1,2,1]=>[4,6,5,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,6,2,1,1]=>[5,6,4,1,2,3]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[3,6,1,1,2,5]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,1,5,2]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,2,1,5]=>[3,5,4,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,2,5,1]=>[3,6,4,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,5,1,2]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,5,2,1]=>[3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,2,1,1,5]=>[4,5,3,1,6,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,6,2,1,5,1]=>[4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,6,2,5,1,1]=>[5,6,3,1,4,2]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,6,5,1,1,2]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,5,1,2,1]=>[4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,5,2,1,1]=>[5,6,4,1,3,2]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,1,1,2,3,6]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,2,6,3]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,3,2,6]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,3,6,2]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,6,2,3]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,6,3,2]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,1,3,6]=>[2,4,3,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,1,6,3]=>[2,4,3,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,3,1,6]=>[2,5,3,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,3,6,1]=>[2,6,3,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,6,1,3]=>[2,5,3,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,6,3,1]=>[2,6,3,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,1,2,6]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,1,6,2]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,2,1,6]=>[2,5,4,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,2,6,1]=>[2,6,4,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,6,1,2]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,6,2,1]=>[2,6,5,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,1,2,3]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,1,3,2]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,2,1,3]=>[2,5,4,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,2,3,1]=>[2,6,4,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,3,1,2]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,3,2,1]=>[2,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,1,3,6]=>[3,4,2,5,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,1,6,3]=>[3,4,2,6,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,3,1,6]=>[3,5,2,4,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,3,6,1]=>[3,6,2,4,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,6,1,3]=>[3,5,2,6,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,6,3,1]=>[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,3,1,1,6]=>[4,5,2,3,1,6]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,3,1,6,1]=>[4,6,2,3,1,5]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,3,6,1,1]=>[5,6,2,3,1,4]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,1,1,3]=>[4,5,2,6,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,6,1,3,1]=>[4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,6,3,1,1]=>[5,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,3,1,1,2,6]=>[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,1,6,2]=>[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,2,1,6]=>[3,5,4,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,2,6,1]=>[3,6,4,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,6,1,2]=>[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,6,2,1]=>[3,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,2,1,1,6]=>[4,5,3,2,1,6]=>[4,6,3,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[5,3,2,1,6,1]=>[4,6,3,2,1,5]=>[4,6,3,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[5,3,2,6,1,1]=>[5,6,3,2,1,4]=>[5,6,3,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,6,1,1,2]=>[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,6,1,2,1]=>[4,6,5,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,6,2,1,1]=>[5,6,4,2,1,3]=>[5,6,4,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,6,1,1,2,3]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,1,1,3,2]=>[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,1,2,1,3]=>[3,5,4,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,1,2,3,1]=>[3,6,4,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,1,3,1,2]=>[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,1,3,2,1]=>[3,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,2,1,1,3]=>[4,5,3,6,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,2,1,3,1]=>[4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,2,3,1,1]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,6,3,1,1,2]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,3,1,2,1]=>[4,6,5,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,3,2,1,1]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[6,1,1,2,3,5]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,2,5,3]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,3,2,5]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,3,5,2]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,5,2,3]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,5,3,2]=>[2,3,6,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,1,3,5]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,1,5,3]=>[2,4,3,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,3,1,5]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,3,5,1]=>[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,5,1,3]=>[2,5,3,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,5,3,1]=>[2,6,3,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,1,2,5]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,1,5,2]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,2,1,5]=>[2,5,4,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,2,5,1]=>[2,6,4,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,5,1,2]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,5,2,1]=>[2,6,5,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,1,2,3]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,1,3,2]=>[2,4,6,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,2,1,3]=>[2,5,4,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,2,3,1]=>[2,6,4,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,3,1,2]=>[2,5,6,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,3,2,1]=>[2,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,1,1,3,5]=>[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,1,5,3]=>[3,4,2,6,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,3,1,5]=>[3,5,2,4,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,3,5,1]=>[3,6,2,4,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,5,1,3]=>[3,5,2,6,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,5,3,1]=>[3,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,3,1,1,5]=>[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,3,1,5,1]=>[4,6,2,3,5,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,3,5,1,1]=>[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,5,1,1,3]=>[4,5,2,6,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,5,1,3,1]=>[4,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,5,3,1,1]=>[5,6,2,4,3,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,3,1,1,2,5]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,1,5,2]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,2,1,5]=>[3,5,4,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,2,5,1]=>[3,6,4,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,5,1,2]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,5,2,1]=>[3,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,2,1,1,5]=>[4,5,3,2,6,1]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,3,2,1,5,1]=>[4,6,3,2,5,1]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,3,2,5,1,1]=>[5,6,3,2,4,1]=>[5,6,3,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,3,5,1,1,2]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,3,5,1,2,1]=>[4,6,5,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,3,5,2,1,1]=>[5,6,4,2,3,1]=>[5,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[6,5,1,1,2,3]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,1,1,3,2]=>[3,4,6,5,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,1,2,1,3]=>[3,5,4,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,1,2,3,1]=>[3,6,4,5,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,1,3,1,2]=>[3,5,6,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,1,3,2,1]=>[3,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,2,1,1,3]=>[4,5,3,6,2,1]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,5,2,1,3,1]=>[4,6,3,5,2,1]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,5,2,3,1,1]=>[5,6,3,4,2,1]=>[5,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,5,3,1,1,2]=>[4,5,6,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,5,3,1,2,1]=>[4,6,5,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,5,3,2,1,1]=>[5,6,4,3,2,1]=>[5,6,4,3,2,1]=>[[[[[.,.],.],.],.],[.,.]]
[1,1,2,4,4,4]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,2,4,4]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,4,2,4]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,4,4,2]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,4,4,4]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,1,4,4]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,4,1,4]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,4,4,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,2,4,4]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,4,2,4]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,4,4,2]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,1,4,4]=>[1,4,3,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,4,1,4]=>[1,5,3,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,4,4,1]=>[1,6,3,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,1,2,4]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,1,4,2]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,2,1,4]=>[1,5,4,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,2,4,1]=>[1,6,4,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,4,1,2]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,4,2,1]=>[1,6,5,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,4,4,4]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,1,4,4]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,4,1,4]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,4,4,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,1,4,4]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,4,1,4]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,4,4,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,4,1,1,4]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,4,1,4,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,4,4,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[4,1,1,2,4,4]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,4,2,4]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,4,4,2]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,1,4,4]=>[2,4,3,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,4,1,4]=>[2,5,3,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,4,4,1]=>[2,6,3,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,1,2,4]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,1,4,2]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,2,1,4]=>[2,5,4,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,2,4,1]=>[2,6,4,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,4,1,2]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,4,2,1]=>[2,6,5,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,1,4,4]=>[3,4,2,1,5,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,4,1,4]=>[3,5,2,1,4,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,4,4,1]=>[3,6,2,1,4,5]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,4,1,1,4]=>[4,5,2,1,3,6]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,4,1,4,1]=>[4,6,2,1,3,5]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,4,4,1,1]=>[5,6,2,1,3,4]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,4,1,1,2,4]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,1,4,2]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,2,1,4]=>[3,5,4,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,2,4,1]=>[3,6,4,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,4,1,2]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,4,2,1]=>[3,6,5,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,2,1,1,4]=>[4,5,3,1,2,6]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,4,2,1,4,1]=>[4,6,3,1,2,5]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,4,2,4,1,1]=>[5,6,3,1,2,4]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,4,4,1,1,2]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,4,4,1,2,1]=>[4,6,5,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,4,4,2,1,1]=>[5,6,4,1,2,3]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[1,1,2,4,4,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,4,5,4]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,5,4,4]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,2,4,5]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,2,5,4]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,4,2,5]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,4,5,2]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,5,2,4]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,5,4,2]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,2,4,4]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,4,2,4]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,4,4,2]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,4,4,5]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,4,5,4]=>[1,3,2,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,5,4,4]=>[1,3,2,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,1,4,5]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,1,5,4]=>[1,4,2,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,4,1,5]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,4,5,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,5,1,4]=>[1,5,2,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,5,4,1]=>[1,6,2,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,1,4,4]=>[1,4,2,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,4,1,4]=>[1,5,2,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,4,4,1]=>[1,6,2,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,2,4,5]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,2,5,4]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,4,2,5]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,4,5,2]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,5,2,4]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,5,4,2]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,1,4,5]=>[1,4,3,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,1,5,4]=>[1,4,3,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,4,1,5]=>[1,5,3,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,4,5,1]=>[1,6,3,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,5,1,4]=>[1,5,3,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,5,4,1]=>[1,6,3,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,1,2,5]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,1,5,2]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,2,1,5]=>[1,5,4,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,2,5,1]=>[1,6,4,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,5,1,2]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,5,2,1]=>[1,6,5,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,1,2,4]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,1,4,2]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,2,1,4]=>[1,5,4,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,2,4,1]=>[1,6,4,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,4,1,2]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,4,2,1]=>[1,6,5,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,2,4,4]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,4,2,4]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,4,4,2]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,1,4,4]=>[1,4,3,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,4,1,4]=>[1,5,3,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,4,4,1]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,1,2,4]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,1,4,2]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,2,1,4]=>[1,5,4,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,2,4,1]=>[1,6,4,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,4,1,2]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,4,2,1]=>[1,6,5,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,4,4,5]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,4,5,4]=>[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,5,4,4]=>[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,1,4,5]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,1,5,4]=>[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,4,1,5]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,4,5,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,5,1,4]=>[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,5,4,1]=>[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,1,4,4]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,4,1,4]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,4,4,1]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,1,4,5]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,1,5,4]=>[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,4,1,5]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,4,5,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,5,1,4]=>[3,5,1,2,6,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,5,4,1]=>[3,6,1,2,5,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,4,1,1,5]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,4,1,5,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,4,5,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,5,1,1,4]=>[4,5,1,2,6,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,5,1,4,1]=>[4,6,1,2,5,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,5,4,1,1]=>[5,6,1,2,4,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,1,1,4,4]=>[3,4,1,5,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,4,1,4]=>[3,5,1,4,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,4,4,1]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,4,1,1,4]=>[4,5,1,3,6,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,4,1,4,1]=>[4,6,1,3,5,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,4,4,1,1]=>[5,6,1,3,4,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[4,1,1,2,4,5]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,2,5,4]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,4,2,5]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,4,5,2]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,5,2,4]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,5,4,2]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,1,4,5]=>[2,4,3,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,1,5,4]=>[2,4,3,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,4,1,5]=>[2,5,3,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,4,5,1]=>[2,6,3,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,5,1,4]=>[2,5,3,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,5,4,1]=>[2,6,3,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,1,2,5]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,1,5,2]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,2,1,5]=>[2,5,4,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,2,5,1]=>[2,6,4,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,5,1,2]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,5,2,1]=>[2,6,5,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,1,2,4]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,1,4,2]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,2,1,4]=>[2,5,4,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,2,4,1]=>[2,6,4,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,4,1,2]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,4,2,1]=>[2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,1,4,5]=>[3,4,2,1,5,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,1,5,4]=>[3,4,2,1,6,5]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,4,1,5]=>[3,5,2,1,4,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,4,5,1]=>[3,6,2,1,4,5]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,5,1,4]=>[3,5,2,1,6,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,5,4,1]=>[3,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,4,1,1,5]=>[4,5,2,1,3,6]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,4,1,5,1]=>[4,6,2,1,3,5]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,4,5,1,1]=>[5,6,2,1,3,4]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,5,1,1,4]=>[4,5,2,1,6,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,1,4,1]=>[4,6,2,1,5,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,4,1,1]=>[5,6,2,1,4,3]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,4,1,1,2,5]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,1,5,2]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,2,1,5]=>[3,5,4,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,2,5,1]=>[3,6,4,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,5,1,2]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,5,2,1]=>[3,6,5,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,2,1,1,5]=>[4,5,3,1,2,6]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,4,2,1,5,1]=>[4,6,3,1,2,5]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,4,2,5,1,1]=>[5,6,3,1,2,4]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,4,5,1,1,2]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,4,5,1,2,1]=>[4,6,5,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,4,5,2,1,1]=>[5,6,4,1,2,3]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[4,5,1,1,2,4]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,1,4,2]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,2,1,4]=>[3,5,4,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,2,4,1]=>[3,6,4,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,4,1,2]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,4,2,1]=>[3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,2,1,1,4]=>[4,5,3,1,6,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,2,1,4,1]=>[4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,2,4,1,1]=>[5,6,3,1,4,2]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,5,4,1,1,2]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,4,1,2,1]=>[4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,4,2,1,1]=>[5,6,4,1,3,2]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,1,1,2,4,4]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,4,2,4]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,4,4,2]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,1,4,4]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,4,1,4]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,4,4,1]=>[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,1,2,4]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,1,4,2]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,2,1,4]=>[2,5,4,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,2,4,1]=>[2,6,4,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,4,1,2]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,4,2,1]=>[2,6,5,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,1,4,4]=>[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,4,1,4]=>[3,5,2,4,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,4,4,1]=>[3,6,2,4,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,4,1,1,4]=>[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,4,1,4,1]=>[4,6,2,3,5,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,4,4,1,1]=>[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,4,1,1,2,4]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,1,4,2]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,2,1,4]=>[3,5,4,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,2,4,1]=>[3,6,4,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,4,1,2]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,4,2,1]=>[3,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,2,1,1,4]=>[4,5,3,2,6,1]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[5,4,2,1,4,1]=>[4,6,3,2,5,1]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[5,4,2,4,1,1]=>[5,6,3,2,4,1]=>[5,6,3,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,4,4,1,1,2]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,4,4,1,2,1]=>[4,6,5,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,4,4,2,1,1]=>[5,6,4,2,3,1]=>[5,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[1,1,2,4,4,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,4,6,4]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,6,4,4]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,2,4,6]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,2,6,4]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,4,2,6]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,4,6,2]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,6,2,4]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,6,4,2]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,2,4,4]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,4,2,4]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,4,4,2]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,4,4,6]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,4,6,4]=>[1,3,2,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,6,4,4]=>[1,3,2,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,1,4,6]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,1,6,4]=>[1,4,2,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,4,1,6]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,4,6,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,6,1,4]=>[1,5,2,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,6,4,1]=>[1,6,2,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,1,4,4]=>[1,4,2,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,4,1,4]=>[1,5,2,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,4,4,1]=>[1,6,2,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,2,4,6]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,2,6,4]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,4,2,6]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,4,6,2]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,6,2,4]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,6,4,2]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,1,4,6]=>[1,4,3,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,1,6,4]=>[1,4,3,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,4,1,6]=>[1,5,3,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,4,6,1]=>[1,6,3,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,6,1,4]=>[1,5,3,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,6,4,1]=>[1,6,3,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,1,2,6]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,1,6,2]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,2,1,6]=>[1,5,4,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,2,6,1]=>[1,6,4,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,6,1,2]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,6,2,1]=>[1,6,5,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,1,2,4]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,1,4,2]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,2,1,4]=>[1,5,4,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,2,4,1]=>[1,6,4,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,4,1,2]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,4,2,1]=>[1,6,5,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,2,4,4]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,4,2,4]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,4,4,2]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,1,4,4]=>[1,4,3,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,4,1,4]=>[1,5,3,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,4,4,1]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,1,2,4]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,1,4,2]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,2,1,4]=>[1,5,4,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,2,4,1]=>[1,6,4,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,4,1,2]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,4,2,1]=>[1,6,5,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,4,4,6]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,4,6,4]=>[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,6,4,4]=>[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,1,4,6]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,1,6,4]=>[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,4,1,6]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,4,6,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,6,1,4]=>[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,6,4,1]=>[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,1,4,4]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,4,1,4]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,4,4,1]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,1,4,6]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,1,6,4]=>[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,4,1,6]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,4,6,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,6,1,4]=>[3,5,1,2,6,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,6,4,1]=>[3,6,1,2,5,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,4,1,1,6]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,4,1,6,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,4,6,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,6,1,1,4]=>[4,5,1,2,6,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,6,1,4,1]=>[4,6,1,2,5,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,6,4,1,1]=>[5,6,1,2,4,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,1,1,4,4]=>[3,4,1,5,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,4,1,4]=>[3,5,1,4,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,4,4,1]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,4,1,1,4]=>[4,5,1,3,6,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,4,1,4,1]=>[4,6,1,3,5,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,4,4,1,1]=>[5,6,1,3,4,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[4,1,1,2,4,6]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,2,6,4]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,4,2,6]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,4,6,2]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,6,2,4]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,6,4,2]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,1,4,6]=>[2,4,3,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,1,6,4]=>[2,4,3,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,4,1,6]=>[2,5,3,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,4,6,1]=>[2,6,3,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,6,1,4]=>[2,5,3,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,6,4,1]=>[2,6,3,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,1,2,6]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,1,6,2]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,2,1,6]=>[2,5,4,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,2,6,1]=>[2,6,4,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,6,1,2]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,6,2,1]=>[2,6,5,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,1,2,4]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,1,4,2]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,2,1,4]=>[2,5,4,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,2,4,1]=>[2,6,4,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,4,1,2]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,4,2,1]=>[2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,1,4,6]=>[3,4,2,1,5,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,1,6,4]=>[3,4,2,1,6,5]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,4,1,6]=>[3,5,2,1,4,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,4,6,1]=>[3,6,2,1,4,5]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,6,1,4]=>[3,5,2,1,6,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,6,4,1]=>[3,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,4,1,1,6]=>[4,5,2,1,3,6]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,4,1,6,1]=>[4,6,2,1,3,5]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,4,6,1,1]=>[5,6,2,1,3,4]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,6,1,1,4]=>[4,5,2,1,6,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,1,4,1]=>[4,6,2,1,5,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,4,1,1]=>[5,6,2,1,4,3]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,4,1,1,2,6]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,1,6,2]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,2,1,6]=>[3,5,4,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,2,6,1]=>[3,6,4,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,6,1,2]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,6,2,1]=>[3,6,5,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,2,1,1,6]=>[4,5,3,1,2,6]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,4,2,1,6,1]=>[4,6,3,1,2,5]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,4,2,6,1,1]=>[5,6,3,1,2,4]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,4,6,1,1,2]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,4,6,1,2,1]=>[4,6,5,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,4,6,2,1,1]=>[5,6,4,1,2,3]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[4,6,1,1,2,4]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,1,4,2]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,2,1,4]=>[3,5,4,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,2,4,1]=>[3,6,4,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,4,1,2]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,4,2,1]=>[3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,2,1,1,4]=>[4,5,3,1,6,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,2,1,4,1]=>[4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,2,4,1,1]=>[5,6,3,1,4,2]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,6,4,1,1,2]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,4,1,2,1]=>[4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,4,2,1,1]=>[5,6,4,1,3,2]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[6,1,1,2,4,4]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,4,2,4]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,4,4,2]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,1,4,4]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,4,1,4]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,4,4,1]=>[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,1,2,4]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,1,4,2]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,2,1,4]=>[2,5,4,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,2,4,1]=>[2,6,4,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,4,1,2]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,4,2,1]=>[2,6,5,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,1,1,4,4]=>[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,4,1,4]=>[3,5,2,4,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,4,4,1]=>[3,6,2,4,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,4,1,1,4]=>[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,4,1,4,1]=>[4,6,2,3,5,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,4,4,1,1]=>[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,4,1,1,2,4]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,1,4,2]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,2,1,4]=>[3,5,4,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,2,4,1]=>[3,6,4,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,4,1,2]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,4,2,1]=>[3,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,2,1,1,4]=>[4,5,3,2,6,1]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,4,2,1,4,1]=>[4,6,3,2,5,1]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,4,2,4,1,1]=>[5,6,3,2,4,1]=>[5,6,3,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,4,4,1,1,2]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,4,4,1,2,1]=>[4,6,5,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,4,4,2,1,1]=>[5,6,4,2,3,1]=>[5,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[1,1,2,4,5,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,5,4,5]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,5,5,4]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,2,5,5]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,5,2,5]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,5,5,2]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,2,4,5]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,2,5,4]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,4,2,5]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,4,5,2]=>[1,2,6,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,5,2,4]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,5,4,2]=>[1,2,6,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,4,5,5]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,5,4,5]=>[1,3,2,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,5,5,4]=>[1,3,2,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,1,5,5]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,5,1,5]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,5,5,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,1,4,5]=>[1,4,2,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,1,5,4]=>[1,4,2,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,4,1,5]=>[1,5,2,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,4,5,1]=>[1,6,2,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,5,1,4]=>[1,5,2,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,5,4,1]=>[1,6,2,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,2,5,5]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,5,2,5]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,5,5,2]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,1,5,5]=>[1,4,3,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,5,1,5]=>[1,5,3,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,5,5,1]=>[1,6,3,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,1,2,5]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,1,5,2]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,2,1,5]=>[1,5,4,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,2,5,1]=>[1,6,4,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,5,1,2]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,5,2,1]=>[1,6,5,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,2,4,5]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,2,5,4]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,4,2,5]=>[1,3,5,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,4,5,2]=>[1,3,6,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,5,2,4]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,5,4,2]=>[1,3,6,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,1,4,5]=>[1,4,3,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,1,5,4]=>[1,4,3,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,4,1,5]=>[1,5,3,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,4,5,1]=>[1,6,3,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,5,1,4]=>[1,5,3,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,5,4,1]=>[1,6,3,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,1,2,5]=>[1,4,5,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,1,5,2]=>[1,4,6,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,2,1,5]=>[1,5,4,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,2,5,1]=>[1,6,4,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,5,1,2]=>[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,5,2,1]=>[1,6,5,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,1,2,4]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,1,4,2]=>[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,2,1,4]=>[1,5,4,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,2,4,1]=>[1,6,4,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,4,1,2]=>[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,4,2,1]=>[1,6,5,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,1,4,5,5]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,5,4,5]=>[2,3,1,5,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,1,5,5,4]=>[2,3,1,6,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,1,5,5]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,5,1,5]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,5,5,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,1,4,5]=>[2,4,1,5,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,1,5,4]=>[2,4,1,6,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,4,1,5]=>[2,5,1,4,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,4,5,1]=>[2,6,1,4,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,5,1,4]=>[2,5,1,6,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,5,4,1]=>[2,6,1,5,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,1,5,5]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,5,1,5]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,5,5,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,5,1,1,5]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,5,1,5,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,5,5,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,1,1,4,5]=>[3,4,1,5,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,1,5,4]=>[3,4,1,6,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,4,1,5]=>[3,5,1,4,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,4,5,1]=>[3,6,1,4,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,5,1,4]=>[3,5,1,6,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,5,4,1]=>[3,6,1,5,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,4,1,1,5]=>[4,5,1,3,2,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,4,1,5,1]=>[4,6,1,3,2,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,4,5,1,1]=>[5,6,1,3,2,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,5,1,1,4]=>[4,5,1,6,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,5,1,4,1]=>[4,6,1,5,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,5,4,1,1]=>[5,6,1,4,2,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[4,1,1,2,5,5]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,5,2,5]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,5,5,2]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,1,5,5]=>[2,4,3,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,5,1,5]=>[2,5,3,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,5,5,1]=>[2,6,3,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,1,2,5]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,1,5,2]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,2,1,5]=>[2,5,4,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,2,5,1]=>[2,6,4,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,5,1,2]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,5,2,1]=>[2,6,5,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,1,5,5]=>[3,4,2,1,5,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,5,1,5]=>[3,5,2,1,4,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,5,5,1]=>[3,6,2,1,4,5]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,5,1,1,5]=>[4,5,2,1,3,6]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,1,5,1]=>[4,6,2,1,3,5]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,5,1,1]=>[5,6,2,1,3,4]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,5,1,1,2,5]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,1,5,2]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,2,1,5]=>[3,5,4,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,2,5,1]=>[3,6,4,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,5,1,2]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,5,2,1]=>[3,6,5,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,2,1,1,5]=>[4,5,3,1,2,6]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,2,1,5,1]=>[4,6,3,1,2,5]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,2,5,1,1]=>[5,6,3,1,2,4]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,5,5,1,1,2]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,5,1,2,1]=>[4,6,5,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,5,2,1,1]=>[5,6,4,1,2,3]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,1,1,2,4,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,2,5,4]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,4,2,5]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,4,5,2]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,5,2,4]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,5,4,2]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,1,4,5]=>[2,4,3,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,1,5,4]=>[2,4,3,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,4,1,5]=>[2,5,3,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,4,5,1]=>[2,6,3,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,5,1,4]=>[2,5,3,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,5,4,1]=>[2,6,3,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,1,2,5]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,1,5,2]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,2,1,5]=>[2,5,4,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,2,5,1]=>[2,6,4,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,5,1,2]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,5,2,1]=>[2,6,5,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,1,2,4]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,1,4,2]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,2,1,4]=>[2,5,4,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,2,4,1]=>[2,6,4,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,4,1,2]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,4,2,1]=>[2,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,1,4,5]=>[3,4,2,5,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,1,5,4]=>[3,4,2,6,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,4,1,5]=>[3,5,2,4,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,4,5,1]=>[3,6,2,4,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,5,1,4]=>[3,5,2,6,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,5,4,1]=>[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,4,1,1,5]=>[4,5,2,3,1,6]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,4,1,5,1]=>[4,6,2,3,1,5]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,4,5,1,1]=>[5,6,2,3,1,4]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,5,1,1,4]=>[4,5,2,6,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,5,1,4,1]=>[4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,5,4,1,1]=>[5,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,4,1,1,2,5]=>[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,1,5,2]=>[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,2,1,5]=>[3,5,4,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,2,5,1]=>[3,6,4,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,5,1,2]=>[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,5,2,1]=>[3,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,2,1,1,5]=>[4,5,3,2,1,6]=>[4,6,3,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[5,4,2,1,5,1]=>[4,6,3,2,1,5]=>[4,6,3,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[5,4,2,5,1,1]=>[5,6,3,2,1,4]=>[5,6,3,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,4,5,1,1,2]=>[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,4,5,1,2,1]=>[4,6,5,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,4,5,2,1,1]=>[5,6,4,2,1,3]=>[5,6,4,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,5,1,1,2,4]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,1,1,4,2]=>[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,1,2,1,4]=>[3,5,4,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,1,2,4,1]=>[3,6,4,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,1,4,1,2]=>[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,1,4,2,1]=>[3,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,2,1,1,4]=>[4,5,3,6,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,5,2,1,4,1]=>[4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,5,2,4,1,1]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,5,4,1,1,2]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,5,4,1,2,1]=>[4,6,5,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,5,4,2,1,1]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[1,1,2,4,5,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,4,6,5]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,5,4,6]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,5,6,4]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,6,4,5]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,2,6,5,4]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,2,5,6]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
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[1,1,4,5,2,6]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,5,6,2]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,6,2,5]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,6,5,2]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,2,4,6]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,2,6,4]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,4,2,6]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,4,6,2]=>[1,2,6,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,6,2,4]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,6,4,2]=>[1,2,6,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,2,4,5]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,2,5,4]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,4,2,5]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,4,5,2]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,5,2,4]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,5,4,2]=>[1,2,6,5,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,4,5,6]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,4,6,5]=>[1,3,2,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,5,4,6]=>[1,3,2,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,5,6,4]=>[1,3,2,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,6,4,5]=>[1,3,2,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,1,6,5,4]=>[1,3,2,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,1,5,6]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,1,6,5]=>[1,4,2,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,5,1,6]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,5,6,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,6,1,5]=>[1,5,2,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,6,5,1]=>[1,6,2,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,1,4,6]=>[1,4,2,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,1,6,4]=>[1,4,2,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,4,1,6]=>[1,5,2,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,4,6,1]=>[1,6,2,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,6,1,4]=>[1,5,2,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,6,4,1]=>[1,6,2,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,1,4,5]=>[1,4,2,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,1,5,4]=>[1,4,2,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,4,1,5]=>[1,5,2,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,4,5,1]=>[1,6,2,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,5,1,4]=>[1,5,2,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,5,4,1]=>[1,6,2,5,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,2,5,6]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,2,6,5]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,5,2,6]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,5,6,2]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,6,2,5]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,6,5,2]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,1,5,6]=>[1,4,3,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,1,6,5]=>[1,4,3,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,5,1,6]=>[1,5,3,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
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[1,4,2,6,1,5]=>[1,5,3,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,6,5,1]=>[1,6,3,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,1,2,6]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,1,6,2]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,2,1,6]=>[1,5,4,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,2,6,1]=>[1,6,4,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,6,1,2]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
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[1,4,6,1,2,5]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
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[1,5,1,2,4,6]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,2,6,4]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,4,2,6]=>[1,3,5,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,4,6,2]=>[1,3,6,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
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[1,5,1,6,4,2]=>[1,3,6,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,1,4,6]=>[1,4,3,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,1,6,4]=>[1,4,3,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,4,1,6]=>[1,5,3,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
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[1,5,2,6,1,4]=>[1,5,3,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
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[1,5,4,1,2,6]=>[1,4,5,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
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[2,1,5,1,4,6]=>[2,4,1,5,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,1,6,4]=>[2,4,1,6,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,4,1,6]=>[2,5,1,4,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,4,6,1]=>[2,6,1,4,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,6,1,4]=>[2,5,1,6,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,6,4,1]=>[2,6,1,5,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,1,4,5]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,1,5,4]=>[2,4,1,6,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,4,1,5]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,4,5,1]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,5,1,4]=>[2,5,1,6,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,5,4,1]=>[2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,1,5,6]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,1,6,5]=>[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,5,1,6]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,5,6,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,6,1,5]=>[3,5,1,2,6,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,6,5,1]=>[3,6,1,2,5,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,5,1,1,6]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,5,1,6,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,5,6,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,6,1,1,5]=>[4,5,1,2,6,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,6,1,5,1]=>[4,6,1,2,5,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,6,5,1,1]=>[5,6,1,2,4,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,1,1,4,6]=>[3,4,1,5,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,1,6,4]=>[3,4,1,6,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,4,1,6]=>[3,5,1,4,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,4,6,1]=>[3,6,1,4,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,6,1,4]=>[3,5,1,6,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,6,4,1]=>[3,6,1,5,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,4,1,1,6]=>[4,5,1,3,2,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,4,1,6,1]=>[4,6,1,3,2,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,4,6,1,1]=>[5,6,1,3,2,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,6,1,1,4]=>[4,5,1,6,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,6,1,4,1]=>[4,6,1,5,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,6,4,1,1]=>[5,6,1,4,2,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,1,1,4,5]=>[3,4,1,5,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,1,5,4]=>[3,4,1,6,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,4,1,5]=>[3,5,1,4,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,4,5,1]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,5,1,4]=>[3,5,1,6,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,5,4,1]=>[3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,4,1,1,5]=>[4,5,1,3,6,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,4,1,5,1]=>[4,6,1,3,5,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,4,5,1,1]=>[5,6,1,3,4,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,5,1,1,4]=>[4,5,1,6,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,5,1,4,1]=>[4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,5,4,1,1]=>[5,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[4,1,1,2,5,6]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,2,6,5]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,5,2,6]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,5,6,2]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,6,2,5]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,6,5,2]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,1,5,6]=>[2,4,3,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,1,6,5]=>[2,4,3,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,5,1,6]=>[2,5,3,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,5,6,1]=>[2,6,3,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,6,1,5]=>[2,5,3,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,6,5,1]=>[2,6,3,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,1,2,6]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,1,6,2]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,2,1,6]=>[2,5,4,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,2,6,1]=>[2,6,4,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,6,1,2]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,6,2,1]=>[2,6,5,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,1,2,5]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,1,5,2]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,2,1,5]=>[2,5,4,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,2,5,1]=>[2,6,4,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,5,1,2]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,5,2,1]=>[2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,1,5,6]=>[3,4,2,1,5,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,1,6,5]=>[3,4,2,1,6,5]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,5,1,6]=>[3,5,2,1,4,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,5,6,1]=>[3,6,2,1,4,5]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,6,1,5]=>[3,5,2,1,6,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,6,5,1]=>[3,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,5,1,1,6]=>[4,5,2,1,3,6]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,1,6,1]=>[4,6,2,1,3,5]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,6,1,1]=>[5,6,2,1,3,4]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,6,1,1,5]=>[4,5,2,1,6,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,1,5,1]=>[4,6,2,1,5,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,5,1,1]=>[5,6,2,1,4,3]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,5,1,1,2,6]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,1,6,2]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,2,1,6]=>[3,5,4,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,2,6,1]=>[3,6,4,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,6,1,2]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,6,2,1]=>[3,6,5,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,2,1,1,6]=>[4,5,3,1,2,6]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,2,1,6,1]=>[4,6,3,1,2,5]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,2,6,1,1]=>[5,6,3,1,2,4]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,5,6,1,1,2]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,6,1,2,1]=>[4,6,5,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,6,2,1,1]=>[5,6,4,1,2,3]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[4,6,1,1,2,5]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,1,5,2]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,2,1,5]=>[3,5,4,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,2,5,1]=>[3,6,4,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,5,1,2]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,5,2,1]=>[3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,2,1,1,5]=>[4,5,3,1,6,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,2,1,5,1]=>[4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,2,5,1,1]=>[5,6,3,1,4,2]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,6,5,1,1,2]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,5,1,2,1]=>[4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,5,2,1,1]=>[5,6,4,1,3,2]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,1,1,2,4,6]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,2,6,4]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,4,2,6]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,4,6,2]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,6,2,4]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,6,4,2]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,1,4,6]=>[2,4,3,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,1,6,4]=>[2,4,3,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,4,1,6]=>[2,5,3,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,4,6,1]=>[2,6,3,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,6,1,4]=>[2,5,3,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,6,4,1]=>[2,6,3,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,1,2,6]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,1,6,2]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,2,1,6]=>[2,5,4,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,2,6,1]=>[2,6,4,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,6,1,2]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,6,2,1]=>[2,6,5,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,1,2,4]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,1,4,2]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,2,1,4]=>[2,5,4,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,2,4,1]=>[2,6,4,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,4,1,2]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,4,2,1]=>[2,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,1,4,6]=>[3,4,2,5,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,1,6,4]=>[3,4,2,6,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,4,1,6]=>[3,5,2,4,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,4,6,1]=>[3,6,2,4,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,6,1,4]=>[3,5,2,6,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,6,4,1]=>[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,4,1,1,6]=>[4,5,2,3,1,6]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,4,1,6,1]=>[4,6,2,3,1,5]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,4,6,1,1]=>[5,6,2,3,1,4]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,1,1,4]=>[4,5,2,6,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,6,1,4,1]=>[4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,6,4,1,1]=>[5,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,4,1,1,2,6]=>[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,1,6,2]=>[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,2,1,6]=>[3,5,4,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,2,6,1]=>[3,6,4,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,6,1,2]=>[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,6,2,1]=>[3,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,2,1,1,6]=>[4,5,3,2,1,6]=>[4,6,3,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[5,4,2,1,6,1]=>[4,6,3,2,1,5]=>[4,6,3,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[5,4,2,6,1,1]=>[5,6,3,2,1,4]=>[5,6,3,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,4,6,1,1,2]=>[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,4,6,1,2,1]=>[4,6,5,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,4,6,2,1,1]=>[5,6,4,2,1,3]=>[5,6,4,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,6,1,1,2,4]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,1,1,4,2]=>[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,1,2,1,4]=>[3,5,4,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,1,2,4,1]=>[3,6,4,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,1,4,1,2]=>[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,1,4,2,1]=>[3,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,2,1,1,4]=>[4,5,3,6,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,2,1,4,1]=>[4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,2,4,1,1]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,6,4,1,1,2]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,4,1,2,1]=>[4,6,5,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,4,2,1,1]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[6,1,1,2,4,5]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,2,5,4]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,4,2,5]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,4,5,2]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,5,2,4]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,5,4,2]=>[2,3,6,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,1,4,5]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,1,5,4]=>[2,4,3,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,4,1,5]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,4,5,1]=>[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,5,1,4]=>[2,5,3,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,5,4,1]=>[2,6,3,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,1,2,5]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,1,5,2]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,2,1,5]=>[2,5,4,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,2,5,1]=>[2,6,4,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,5,1,2]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,5,2,1]=>[2,6,5,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,1,2,4]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,1,4,2]=>[2,4,6,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,2,1,4]=>[2,5,4,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,2,4,1]=>[2,6,4,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,4,1,2]=>[2,5,6,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,4,2,1]=>[2,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,1,1,4,5]=>[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,1,5,4]=>[3,4,2,6,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,4,1,5]=>[3,5,2,4,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,4,5,1]=>[3,6,2,4,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,5,1,4]=>[3,5,2,6,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,5,4,1]=>[3,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,4,1,1,5]=>[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,4,1,5,1]=>[4,6,2,3,5,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,4,5,1,1]=>[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,5,1,1,4]=>[4,5,2,6,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,5,1,4,1]=>[4,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,5,4,1,1]=>[5,6,2,4,3,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,4,1,1,2,5]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,1,5,2]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,2,1,5]=>[3,5,4,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,2,5,1]=>[3,6,4,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,5,1,2]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,5,2,1]=>[3,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,2,1,1,5]=>[4,5,3,2,6,1]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,4,2,1,5,1]=>[4,6,3,2,5,1]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,4,2,5,1,1]=>[5,6,3,2,4,1]=>[5,6,3,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,4,5,1,1,2]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,4,5,1,2,1]=>[4,6,5,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,4,5,2,1,1]=>[5,6,4,2,3,1]=>[5,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[6,5,1,1,2,4]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,1,1,4,2]=>[3,4,6,5,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,1,2,1,4]=>[3,5,4,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,1,2,4,1]=>[3,6,4,5,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,1,4,1,2]=>[3,5,6,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,1,4,2,1]=>[3,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,2,1,1,4]=>[4,5,3,6,2,1]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,5,2,1,4,1]=>[4,6,3,5,2,1]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,5,2,4,1,1]=>[5,6,3,4,2,1]=>[5,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,5,4,1,1,2]=>[4,5,6,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,5,4,1,2,1]=>[4,6,5,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,5,4,2,1,1]=>[5,6,4,3,2,1]=>[5,6,4,3,2,1]=>[[[[[.,.],.],.],.],[.,.]]
[1,1,3,3,3,3]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,3,3,3]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,1,3,3]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,3,1,3]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,3,3,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[3,1,1,3,3,3]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,1,3,3]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,3,1,3]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,3,3,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,3,1,1,3,3]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,3,1,3]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,3,3,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,3,1,1,3]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,3,1,3,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,3,3,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[1,1,3,3,3,4]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,3,4,3]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,4,3,3]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,3,3,3]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,3,3,4]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,3,4,3]=>[1,3,2,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,4,3,3]=>[1,3,2,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,1,3,4]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,1,4,3]=>[1,4,2,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,3,1,4]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,3,4,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,4,1,3]=>[1,5,2,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,4,3,1]=>[1,6,2,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,1,3,3]=>[1,4,2,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,3,1,3]=>[1,5,2,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,3,3,1]=>[1,6,2,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,3,3,3]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,1,3,3]=>[1,4,3,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,3,1,3]=>[1,5,3,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,3,3,1]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[3,1,1,3,3,4]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,3,4,3]=>[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,4,3,3]=>[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,1,3,4]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,1,4,3]=>[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,3,1,4]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,3,4,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,4,1,3]=>[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,4,3,1]=>[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,1,3,3]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,3,1,3]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,3,3,1]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,3,1,1,3,4]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,1,4,3]=>[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,3,1,4]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,3,4,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,4,1,3]=>[3,5,1,2,6,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,4,3,1]=>[3,6,1,2,5,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,3,1,1,4]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,3,1,4,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,3,4,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,3,4,1,1,3]=>[4,5,1,2,6,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,4,1,3,1]=>[4,6,1,2,5,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,4,3,1,1]=>[5,6,1,2,4,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,4,1,1,3,3]=>[3,4,1,5,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,3,1,3]=>[3,5,1,4,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,3,3,1]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,3,1,1,3]=>[4,5,1,3,6,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,3,1,3,1]=>[4,6,1,3,5,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,3,3,1,1]=>[5,6,1,3,4,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[4,1,1,3,3,3]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,1,3,3]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,3,1,3]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,3,3,1]=>[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,1,1,3,3]=>[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,3,1,3]=>[3,5,2,4,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,3,3,1]=>[3,6,2,4,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,3,1,1,3]=>[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,3,1,3,1]=>[4,6,2,3,5,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,3,3,1,1]=>[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[1,1,3,3,3,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,3,5,3]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,5,3,3]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,3,3,3]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,3,3,5]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,3,5,3]=>[1,3,2,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,5,3,3]=>[1,3,2,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,1,3,5]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,1,5,3]=>[1,4,2,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,3,1,5]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,3,5,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,5,1,3]=>[1,5,2,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,5,3,1]=>[1,6,2,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,1,3,3]=>[1,4,2,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,3,1,3]=>[1,5,2,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,3,3,1]=>[1,6,2,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,3,3,3]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,1,3,3]=>[1,4,3,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,3,1,3]=>[1,5,3,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,3,3,1]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[3,1,1,3,3,5]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,3,5,3]=>[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,5,3,3]=>[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,1,3,5]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,1,5,3]=>[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,3,1,5]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,3,5,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,5,1,3]=>[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,5,3,1]=>[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,1,3,3]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,3,1,3]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,3,3,1]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,3,1,1,3,5]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,1,5,3]=>[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,3,1,5]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,3,5,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,5,1,3]=>[3,5,1,2,6,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,5,3,1]=>[3,6,1,2,5,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,3,1,1,5]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,3,1,5,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,3,5,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,3,5,1,1,3]=>[4,5,1,2,6,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,5,1,3,1]=>[4,6,1,2,5,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,5,3,1,1]=>[5,6,1,2,4,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,5,1,1,3,3]=>[3,4,1,5,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,3,1,3]=>[3,5,1,4,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,3,3,1]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,3,1,1,3]=>[4,5,1,3,6,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,3,1,3,1]=>[4,6,1,3,5,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,3,3,1,1]=>[5,6,1,3,4,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,1,3,3,3]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,1,3,3]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,3,1,3]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,3,3,1]=>[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,1,1,3,3]=>[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,3,1,3]=>[3,5,2,4,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,3,3,1]=>[3,6,2,4,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,3,1,1,3]=>[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,3,1,3,1]=>[4,6,2,3,5,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,3,3,1,1]=>[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[1,1,3,3,3,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,3,6,3]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,6,3,3]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,3,3,3]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,3,3,6]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,3,6,3]=>[1,3,2,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,6,3,3]=>[1,3,2,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,1,3,6]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,1,6,3]=>[1,4,2,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,3,1,6]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,3,6,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,6,1,3]=>[1,5,2,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,6,3,1]=>[1,6,2,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,1,3,3]=>[1,4,2,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,3,1,3]=>[1,5,2,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,3,3,1]=>[1,6,2,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,3,3,3]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,1,3,3]=>[1,4,3,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,3,1,3]=>[1,5,3,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,3,3,1]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[3,1,1,3,3,6]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,3,6,3]=>[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,6,3,3]=>[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,1,3,6]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,1,6,3]=>[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,3,1,6]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,3,6,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,6,1,3]=>[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,6,3,1]=>[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,1,3,3]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,3,1,3]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,3,3,1]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,3,1,1,3,6]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,1,6,3]=>[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,3,1,6]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,3,6,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,6,1,3]=>[3,5,1,2,6,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,6,3,1]=>[3,6,1,2,5,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,3,1,1,6]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,3,1,6,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,3,6,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,3,6,1,1,3]=>[4,5,1,2,6,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,6,1,3,1]=>[4,6,1,2,5,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,6,3,1,1]=>[5,6,1,2,4,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,6,1,1,3,3]=>[3,4,1,5,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,3,1,3]=>[3,5,1,4,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,3,3,1]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,3,1,1,3]=>[4,5,1,3,6,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,3,1,3,1]=>[4,6,1,3,5,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,3,3,1,1]=>[5,6,1,3,4,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[6,1,1,3,3,3]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,1,3,3]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,3,1,3]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,3,3,1]=>[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,3,1,1,3,3]=>[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,3,1,3]=>[3,5,2,4,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,3,3,1]=>[3,6,2,4,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,3,1,1,3]=>[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,3,3,1,3,1]=>[4,6,2,3,5,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,3,3,3,1,1]=>[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[1,1,3,3,4,4]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,4,3,4]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,4,4,3]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,3,3,4]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,3,4,3]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,4,3,3]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,3,4,4]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,4,3,4]=>[1,3,2,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,4,4,3]=>[1,3,2,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,1,4,4]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,4,1,4]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,4,4,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,1,3,4]=>[1,4,2,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,1,4,3]=>[1,4,2,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,3,1,4]=>[1,5,2,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,3,4,1]=>[1,6,2,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,4,1,3]=>[1,5,2,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,4,3,1]=>[1,6,2,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,3,3,4]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,3,4,3]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,4,3,3]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,1,3,4]=>[1,4,3,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,1,4,3]=>[1,4,3,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,3,1,4]=>[1,5,3,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,3,4,1]=>[1,6,3,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,4,1,3]=>[1,5,3,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,4,3,1]=>[1,6,3,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,1,3,3]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,3,1,3]=>[1,5,4,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,3,3,1]=>[1,6,4,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[3,1,1,3,4,4]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,4,3,4]=>[2,3,1,5,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,4,4,3]=>[2,3,1,6,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,1,4,4]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,4,1,4]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,4,4,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,1,3,4]=>[2,4,1,5,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,1,4,3]=>[2,4,1,6,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,3,1,4]=>[2,5,1,4,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,3,4,1]=>[2,6,1,4,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,4,1,3]=>[2,5,1,6,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,4,3,1]=>[2,6,1,5,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,3,1,1,4,4]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,4,1,4]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,4,4,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,4,1,1,4]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,4,1,4,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,4,4,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,4,1,1,3,4]=>[3,4,1,5,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,1,4,3]=>[3,4,1,6,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,3,1,4]=>[3,5,1,4,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,3,4,1]=>[3,6,1,4,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,4,1,3]=>[3,5,1,6,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,4,3,1]=>[3,6,1,5,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,3,1,1,4]=>[4,5,1,3,2,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,3,1,4,1]=>[4,6,1,3,2,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,3,4,1,1]=>[5,6,1,3,2,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,4,4,1,1,3]=>[4,5,1,6,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,4,1,3,1]=>[4,6,1,5,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,4,3,1,1]=>[5,6,1,4,2,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[4,1,1,3,3,4]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,3,4,3]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,4,3,3]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,1,3,4]=>[2,4,3,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,1,4,3]=>[2,4,3,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,3,1,4]=>[2,5,3,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,3,4,1]=>[2,6,3,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,4,1,3]=>[2,5,3,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,4,3,1]=>[2,6,3,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,1,3,3]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,3,1,3]=>[2,5,4,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,3,3,1]=>[2,6,4,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,1,1,3,4]=>[3,4,2,5,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,1,4,3]=>[3,4,2,6,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,3,1,4]=>[3,5,2,4,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,3,4,1]=>[3,6,2,4,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,4,1,3]=>[3,5,2,6,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,4,3,1]=>[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,3,1,1,4]=>[4,5,2,3,1,6]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,3,1,4,1]=>[4,6,2,3,1,5]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,3,4,1,1]=>[5,6,2,3,1,4]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,3,4,1,1,3]=>[4,5,2,6,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,4,1,3,1]=>[4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,4,3,1,1]=>[5,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,4,1,1,3,3]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,3,1,3]=>[3,5,4,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,3,3,1]=>[3,6,4,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,3,1,1,3]=>[4,5,3,6,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,4,3,1,3,1]=>[4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,4,3,3,1,1]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[1,1,3,3,4,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,3,5,4]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,4,3,5]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,4,5,3]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,5,3,4]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,5,4,3]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,3,3,5]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,3,5,3]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,5,3,3]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,3,3,4]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,3,4,3]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,4,3,3]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,3,4,5]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,3,5,4]=>[1,3,2,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,4,3,5]=>[1,3,2,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,4,5,3]=>[1,3,2,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,5,3,4]=>[1,3,2,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,5,4,3]=>[1,3,2,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,1,4,5]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,1,5,4]=>[1,4,2,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,4,1,5]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,4,5,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,5,1,4]=>[1,5,2,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,5,4,1]=>[1,6,2,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,1,3,5]=>[1,4,2,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,1,5,3]=>[1,4,2,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,3,1,5]=>[1,5,2,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,3,5,1]=>[1,6,2,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,5,1,3]=>[1,5,2,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,5,3,1]=>[1,6,2,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,1,3,4]=>[1,4,2,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,1,4,3]=>[1,4,2,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,3,1,4]=>[1,5,2,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,3,4,1]=>[1,6,2,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,4,1,3]=>[1,5,2,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,4,3,1]=>[1,6,2,5,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,3,3,5]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,3,5,3]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,5,3,3]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,1,3,5]=>[1,4,3,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,1,5,3]=>[1,4,3,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,3,1,5]=>[1,5,3,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,3,5,1]=>[1,6,3,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,5,1,3]=>[1,5,3,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,5,3,1]=>[1,6,3,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,1,3,3]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,3,1,3]=>[1,5,4,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,3,3,1]=>[1,6,4,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,3,3,4]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,3,4,3]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,4,3,3]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,1,3,4]=>[1,4,3,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,1,4,3]=>[1,4,3,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,3,1,4]=>[1,5,3,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,3,4,1]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,4,1,3]=>[1,5,3,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,4,3,1]=>[1,6,3,5,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,1,3,3]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,3,1,3]=>[1,5,4,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,3,3,1]=>[1,6,4,5,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[3,1,1,3,4,5]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,3,5,4]=>[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,4,3,5]=>[2,3,1,5,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,4,5,3]=>[2,3,1,6,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,5,3,4]=>[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,5,4,3]=>[2,3,1,6,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,1,4,5]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,1,5,4]=>[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,4,1,5]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,4,5,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,5,1,4]=>[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,5,4,1]=>[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,1,3,5]=>[2,4,1,5,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,1,5,3]=>[2,4,1,6,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,3,1,5]=>[2,5,1,4,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,3,5,1]=>[2,6,1,4,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,5,1,3]=>[2,5,1,6,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,5,3,1]=>[2,6,1,5,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,1,3,4]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,1,4,3]=>[2,4,1,6,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,3,1,4]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,3,4,1]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,4,1,3]=>[2,5,1,6,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,4,3,1]=>[2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,3,1,1,4,5]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,1,5,4]=>[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,4,1,5]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,4,5,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,5,1,4]=>[3,5,1,2,6,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,5,4,1]=>[3,6,1,2,5,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,4,1,1,5]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,4,1,5,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,4,5,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,3,5,1,1,4]=>[4,5,1,2,6,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,5,1,4,1]=>[4,6,1,2,5,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,5,4,1,1]=>[5,6,1,2,4,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,4,1,1,3,5]=>[3,4,1,5,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,1,5,3]=>[3,4,1,6,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,3,1,5]=>[3,5,1,4,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,3,5,1]=>[3,6,1,4,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,5,1,3]=>[3,5,1,6,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,5,3,1]=>[3,6,1,5,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,3,1,1,5]=>[4,5,1,3,2,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,3,1,5,1]=>[4,6,1,3,2,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,3,5,1,1]=>[5,6,1,3,2,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,4,5,1,1,3]=>[4,5,1,6,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,5,1,3,1]=>[4,6,1,5,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,5,3,1,1]=>[5,6,1,4,2,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,5,1,1,3,4]=>[3,4,1,5,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,1,4,3]=>[3,4,1,6,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,3,1,4]=>[3,5,1,4,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,3,4,1]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,4,1,3]=>[3,5,1,6,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,4,3,1]=>[3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,3,1,1,4]=>[4,5,1,3,6,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,3,1,4,1]=>[4,6,1,3,5,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,3,4,1,1]=>[5,6,1,3,4,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,5,4,1,1,3]=>[4,5,1,6,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,4,1,3,1]=>[4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,4,3,1,1]=>[5,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[4,1,1,3,3,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,3,5,3]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,5,3,3]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,1,3,5]=>[2,4,3,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,1,5,3]=>[2,4,3,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,3,1,5]=>[2,5,3,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,3,5,1]=>[2,6,3,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,5,1,3]=>[2,5,3,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,5,3,1]=>[2,6,3,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,1,3,3]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,3,1,3]=>[2,5,4,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,3,3,1]=>[2,6,4,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,1,1,3,5]=>[3,4,2,5,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,1,5,3]=>[3,4,2,6,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,3,1,5]=>[3,5,2,4,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,3,5,1]=>[3,6,2,4,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,5,1,3]=>[3,5,2,6,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,5,3,1]=>[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,3,1,1,5]=>[4,5,2,3,1,6]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,3,1,5,1]=>[4,6,2,3,1,5]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,3,5,1,1]=>[5,6,2,3,1,4]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,3,5,1,1,3]=>[4,5,2,6,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,5,1,3,1]=>[4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,5,3,1,1]=>[5,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,5,1,1,3,3]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,3,1,3]=>[3,5,4,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,3,3,1]=>[3,6,4,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,3,1,1,3]=>[4,5,3,6,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,3,1,3,1]=>[4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,3,3,1,1]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,1,1,3,3,4]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,3,4,3]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,4,3,3]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,1,3,4]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,1,4,3]=>[2,4,3,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,3,1,4]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,3,4,1]=>[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,4,1,3]=>[2,5,3,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,4,3,1]=>[2,6,3,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,1,3,3]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,3,1,3]=>[2,5,4,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,3,3,1]=>[2,6,4,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,1,1,3,4]=>[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,1,4,3]=>[3,4,2,6,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,3,1,4]=>[3,5,2,4,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,3,4,1]=>[3,6,2,4,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,4,1,3]=>[3,5,2,6,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,4,3,1]=>[3,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,3,1,1,4]=>[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,3,1,4,1]=>[4,6,2,3,5,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,3,4,1,1]=>[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,3,4,1,1,3]=>[4,5,2,6,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,4,1,3,1]=>[4,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,4,3,1,1]=>[5,6,2,4,3,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,4,1,1,3,3]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,3,1,3]=>[3,5,4,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,3,3,1]=>[3,6,4,5,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,3,1,1,3]=>[4,5,3,6,2,1]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[5,4,3,1,3,1]=>[4,6,3,5,2,1]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[5,4,3,3,1,1]=>[5,6,3,4,2,1]=>[5,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[1,1,3,3,4,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,3,6,4]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,4,3,6]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,4,6,3]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,6,3,4]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,6,4,3]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,3,3,6]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,3,6,3]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,6,3,3]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,3,3,4]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,3,4,3]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,4,3,3]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,3,4,6]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,3,6,4]=>[1,3,2,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,4,3,6]=>[1,3,2,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,4,6,3]=>[1,3,2,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,6,3,4]=>[1,3,2,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,6,4,3]=>[1,3,2,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,1,4,6]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,1,6,4]=>[1,4,2,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,4,1,6]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,4,6,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,6,1,4]=>[1,5,2,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,6,4,1]=>[1,6,2,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,1,3,6]=>[1,4,2,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,1,6,3]=>[1,4,2,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,3,1,6]=>[1,5,2,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,3,6,1]=>[1,6,2,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,6,1,3]=>[1,5,2,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,6,3,1]=>[1,6,2,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,1,3,4]=>[1,4,2,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,1,4,3]=>[1,4,2,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,3,1,4]=>[1,5,2,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,3,4,1]=>[1,6,2,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,4,1,3]=>[1,5,2,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,4,3,1]=>[1,6,2,5,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,3,3,6]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,3,6,3]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,6,3,3]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,1,3,6]=>[1,4,3,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,1,6,3]=>[1,4,3,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,3,1,6]=>[1,5,3,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,3,6,1]=>[1,6,3,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,6,1,3]=>[1,5,3,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,6,3,1]=>[1,6,3,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,1,3,3]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,3,1,3]=>[1,5,4,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,3,3,1]=>[1,6,4,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,3,3,4]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,3,4,3]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,4,3,3]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,1,3,4]=>[1,4,3,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,1,4,3]=>[1,4,3,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,3,1,4]=>[1,5,3,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,3,4,1]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,4,1,3]=>[1,5,3,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,4,3,1]=>[1,6,3,5,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,1,3,3]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,3,1,3]=>[1,5,4,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,3,3,1]=>[1,6,4,5,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[3,1,1,3,4,6]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,3,6,4]=>[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,4,3,6]=>[2,3,1,5,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,4,6,3]=>[2,3,1,6,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,6,3,4]=>[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,6,4,3]=>[2,3,1,6,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,1,4,6]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,1,6,4]=>[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,4,1,6]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,4,6,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,6,1,4]=>[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,6,4,1]=>[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,1,3,6]=>[2,4,1,5,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,1,6,3]=>[2,4,1,6,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,3,1,6]=>[2,5,1,4,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,3,6,1]=>[2,6,1,4,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,6,1,3]=>[2,5,1,6,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,6,3,1]=>[2,6,1,5,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,1,3,4]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,1,4,3]=>[2,4,1,6,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,3,1,4]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,3,4,1]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,4,1,3]=>[2,5,1,6,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,4,3,1]=>[2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,3,1,1,4,6]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,1,6,4]=>[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,4,1,6]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,4,6,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,6,1,4]=>[3,5,1,2,6,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,6,4,1]=>[3,6,1,2,5,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,4,1,1,6]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,4,1,6,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,4,6,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,3,6,1,1,4]=>[4,5,1,2,6,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,6,1,4,1]=>[4,6,1,2,5,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,6,4,1,1]=>[5,6,1,2,4,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,4,1,1,3,6]=>[3,4,1,5,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,1,6,3]=>[3,4,1,6,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,3,1,6]=>[3,5,1,4,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,3,6,1]=>[3,6,1,4,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,6,1,3]=>[3,5,1,6,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,6,3,1]=>[3,6,1,5,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,3,1,1,6]=>[4,5,1,3,2,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,3,1,6,1]=>[4,6,1,3,2,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,3,6,1,1]=>[5,6,1,3,2,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,4,6,1,1,3]=>[4,5,1,6,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,6,1,3,1]=>[4,6,1,5,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,6,3,1,1]=>[5,6,1,4,2,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,6,1,1,3,4]=>[3,4,1,5,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,1,4,3]=>[3,4,1,6,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,3,1,4]=>[3,5,1,4,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,3,4,1]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,4,1,3]=>[3,5,1,6,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,4,3,1]=>[3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,3,1,1,4]=>[4,5,1,3,6,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,3,1,4,1]=>[4,6,1,3,5,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,3,4,1,1]=>[5,6,1,3,4,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,6,4,1,1,3]=>[4,5,1,6,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,4,1,3,1]=>[4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,4,3,1,1]=>[5,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[4,1,1,3,3,6]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,3,6,3]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,6,3,3]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,1,3,6]=>[2,4,3,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,1,6,3]=>[2,4,3,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,3,1,6]=>[2,5,3,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,3,6,1]=>[2,6,3,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,6,1,3]=>[2,5,3,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,6,3,1]=>[2,6,3,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,1,3,3]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,3,1,3]=>[2,5,4,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,3,3,1]=>[2,6,4,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,1,1,3,6]=>[3,4,2,5,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,1,6,3]=>[3,4,2,6,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,3,1,6]=>[3,5,2,4,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,3,6,1]=>[3,6,2,4,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,6,1,3]=>[3,5,2,6,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,6,3,1]=>[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,3,1,1,6]=>[4,5,2,3,1,6]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,3,1,6,1]=>[4,6,2,3,1,5]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,3,6,1,1]=>[5,6,2,3,1,4]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,3,6,1,1,3]=>[4,5,2,6,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,6,1,3,1]=>[4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,6,3,1,1]=>[5,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,6,1,1,3,3]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,3,1,3]=>[3,5,4,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,3,3,1]=>[3,6,4,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,3,1,1,3]=>[4,5,3,6,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,3,1,3,1]=>[4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,3,3,1,1]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[6,1,1,3,3,4]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,3,4,3]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,4,3,3]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,1,3,4]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,1,4,3]=>[2,4,3,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,3,1,4]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,3,4,1]=>[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,4,1,3]=>[2,5,3,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,4,3,1]=>[2,6,3,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,1,3,3]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,3,1,3]=>[2,5,4,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,3,3,1]=>[2,6,4,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,3,1,1,3,4]=>[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,1,4,3]=>[3,4,2,6,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,3,1,4]=>[3,5,2,4,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,3,4,1]=>[3,6,2,4,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,4,1,3]=>[3,5,2,6,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,4,3,1]=>[3,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,3,1,1,4]=>[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,3,3,1,4,1]=>[4,6,2,3,5,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,3,3,4,1,1]=>[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,3,4,1,1,3]=>[4,5,2,6,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,3,4,1,3,1]=>[4,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,3,4,3,1,1]=>[5,6,2,4,3,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,4,1,1,3,3]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,3,1,3]=>[3,5,4,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,3,3,1]=>[3,6,4,5,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,3,1,1,3]=>[4,5,3,6,2,1]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,4,3,1,3,1]=>[4,6,3,5,2,1]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,4,3,3,1,1]=>[5,6,3,4,2,1]=>[5,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[1,1,3,3,5,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,5,3,5]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,5,5,3]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,3,3,5]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,3,5,3]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,5,3,3]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,3,5,5]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,5,3,5]=>[1,3,2,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,5,5,3]=>[1,3,2,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,1,5,5]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,5,1,5]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,5,5,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,1,3,5]=>[1,4,2,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,1,5,3]=>[1,4,2,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,3,1,5]=>[1,5,2,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,3,5,1]=>[1,6,2,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,5,1,3]=>[1,5,2,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,5,3,1]=>[1,6,2,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,3,3,5]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,3,5,3]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,5,3,3]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,1,3,5]=>[1,4,3,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,1,5,3]=>[1,4,3,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,3,1,5]=>[1,5,3,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,3,5,1]=>[1,6,3,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,5,1,3]=>[1,5,3,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,5,3,1]=>[1,6,3,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,1,3,3]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,3,1,3]=>[1,5,4,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,3,3,1]=>[1,6,4,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[3,1,1,3,5,5]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,5,3,5]=>[2,3,1,5,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,5,5,3]=>[2,3,1,6,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,1,5,5]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,5,1,5]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,5,5,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,1,3,5]=>[2,4,1,5,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,1,5,3]=>[2,4,1,6,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,3,1,5]=>[2,5,1,4,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,3,5,1]=>[2,6,1,4,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,5,1,3]=>[2,5,1,6,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,5,3,1]=>[2,6,1,5,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,3,1,1,5,5]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,5,1,5]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,5,5,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,5,1,1,5]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,5,1,5,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,5,5,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,5,1,1,3,5]=>[3,4,1,5,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,1,5,3]=>[3,4,1,6,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,3,1,5]=>[3,5,1,4,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,3,5,1]=>[3,6,1,4,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,5,1,3]=>[3,5,1,6,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,5,3,1]=>[3,6,1,5,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,3,1,1,5]=>[4,5,1,3,2,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,3,1,5,1]=>[4,6,1,3,2,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,3,5,1,1]=>[5,6,1,3,2,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,5,5,1,1,3]=>[4,5,1,6,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,5,1,3,1]=>[4,6,1,5,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,5,3,1,1]=>[5,6,1,4,2,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,1,3,3,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,3,5,3]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,5,3,3]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,1,3,5]=>[2,4,3,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,1,5,3]=>[2,4,3,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,3,1,5]=>[2,5,3,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,3,5,1]=>[2,6,3,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,5,1,3]=>[2,5,3,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,5,3,1]=>[2,6,3,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,1,3,3]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,3,1,3]=>[2,5,4,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,3,3,1]=>[2,6,4,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,1,1,3,5]=>[3,4,2,5,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,1,5,3]=>[3,4,2,6,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,3,1,5]=>[3,5,2,4,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,3,5,1]=>[3,6,2,4,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,5,1,3]=>[3,5,2,6,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,5,3,1]=>[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,3,1,1,5]=>[4,5,2,3,1,6]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,3,1,5,1]=>[4,6,2,3,1,5]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,3,5,1,1]=>[5,6,2,3,1,4]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,3,5,1,1,3]=>[4,5,2,6,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,5,1,3,1]=>[4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,5,3,1,1]=>[5,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,5,1,1,3,3]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,1,3,1,3]=>[3,5,4,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,1,3,3,1]=>[3,6,4,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,3,1,1,3]=>[4,5,3,6,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,5,3,1,3,1]=>[4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,5,3,3,1,1]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[1,1,3,3,5,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,3,6,5]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,5,3,6]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,5,6,3]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,6,3,5]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,6,5,3]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,3,3,6]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,3,6,3]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,6,3,3]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,3,3,5]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,3,5,3]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,5,3,3]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,3,5,6]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,3,6,5]=>[1,3,2,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,5,3,6]=>[1,3,2,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,5,6,3]=>[1,3,2,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,6,3,5]=>[1,3,2,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,6,5,3]=>[1,3,2,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,1,5,6]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,1,6,5]=>[1,4,2,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,5,1,6]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,5,6,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,6,1,5]=>[1,5,2,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,6,5,1]=>[1,6,2,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,1,3,6]=>[1,4,2,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,1,6,3]=>[1,4,2,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,3,1,6]=>[1,5,2,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,3,6,1]=>[1,6,2,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,6,1,3]=>[1,5,2,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,6,3,1]=>[1,6,2,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,1,3,5]=>[1,4,2,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,1,5,3]=>[1,4,2,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,3,1,5]=>[1,5,2,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,3,5,1]=>[1,6,2,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,5,1,3]=>[1,5,2,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,5,3,1]=>[1,6,2,5,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,3,3,6]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,3,6,3]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,6,3,3]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,1,3,6]=>[1,4,3,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,1,6,3]=>[1,4,3,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,3,1,6]=>[1,5,3,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,3,6,1]=>[1,6,3,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,6,1,3]=>[1,5,3,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,6,3,1]=>[1,6,3,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,6,1,3,3]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,6,3,1,3]=>[1,5,4,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,6,3,3,1]=>[1,6,4,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,3,3,5]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,3,5,3]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,5,3,3]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,1,3,5]=>[1,4,3,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,1,5,3]=>[1,4,3,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,3,1,5]=>[1,5,3,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,3,5,1]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,5,1,3]=>[1,5,3,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,5,3,1]=>[1,6,3,5,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,5,1,3,3]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,5,3,1,3]=>[1,5,4,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,5,3,3,1]=>[1,6,4,5,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[3,1,1,3,5,6]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,3,6,5]=>[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,5,3,6]=>[2,3,1,5,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,5,6,3]=>[2,3,1,6,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,6,3,5]=>[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,6,5,3]=>[2,3,1,6,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,1,5,6]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,1,6,5]=>[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,5,1,6]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,5,6,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,6,1,5]=>[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,6,5,1]=>[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,1,3,6]=>[2,4,1,5,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,1,6,3]=>[2,4,1,6,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,3,1,6]=>[2,5,1,4,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,3,6,1]=>[2,6,1,4,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,6,1,3]=>[2,5,1,6,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,6,3,1]=>[2,6,1,5,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,1,3,5]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,1,5,3]=>[2,4,1,6,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,3,1,5]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,3,5,1]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,5,1,3]=>[2,5,1,6,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,5,3,1]=>[2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,3,1,1,5,6]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,1,6,5]=>[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,5,1,6]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,5,6,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,6,1,5]=>[3,5,1,2,6,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,6,5,1]=>[3,6,1,2,5,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,5,1,1,6]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,5,1,6,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,5,6,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,3,6,1,1,5]=>[4,5,1,2,6,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,6,1,5,1]=>[4,6,1,2,5,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,6,5,1,1]=>[5,6,1,2,4,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,5,1,1,3,6]=>[3,4,1,5,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,1,6,3]=>[3,4,1,6,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,3,1,6]=>[3,5,1,4,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,3,6,1]=>[3,6,1,4,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,6,1,3]=>[3,5,1,6,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,6,3,1]=>[3,6,1,5,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,3,1,1,6]=>[4,5,1,3,2,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,3,1,6,1]=>[4,6,1,3,2,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,3,6,1,1]=>[5,6,1,3,2,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,5,6,1,1,3]=>[4,5,1,6,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,6,1,3,1]=>[4,6,1,5,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,6,3,1,1]=>[5,6,1,4,2,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,6,1,1,3,5]=>[3,4,1,5,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,1,5,3]=>[3,4,1,6,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,3,1,5]=>[3,5,1,4,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,3,5,1]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,5,1,3]=>[3,5,1,6,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,5,3,1]=>[3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,3,1,1,5]=>[4,5,1,3,6,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,3,1,5,1]=>[4,6,1,3,5,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,3,5,1,1]=>[5,6,1,3,4,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,6,5,1,1,3]=>[4,5,1,6,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,5,1,3,1]=>[4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,5,3,1,1]=>[5,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[5,1,1,3,3,6]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,3,6,3]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,6,3,3]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,1,3,6]=>[2,4,3,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,1,6,3]=>[2,4,3,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,3,1,6]=>[2,5,3,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,3,6,1]=>[2,6,3,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,6,1,3]=>[2,5,3,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,6,3,1]=>[2,6,3,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,1,3,3]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,3,1,3]=>[2,5,4,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,3,3,1]=>[2,6,4,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,1,1,3,6]=>[3,4,2,5,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,1,6,3]=>[3,4,2,6,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,3,1,6]=>[3,5,2,4,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,3,6,1]=>[3,6,2,4,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,6,1,3]=>[3,5,2,6,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,6,3,1]=>[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,3,1,1,6]=>[4,5,2,3,1,6]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,3,1,6,1]=>[4,6,2,3,1,5]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,3,6,1,1]=>[5,6,2,3,1,4]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,3,6,1,1,3]=>[4,5,2,6,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,6,1,3,1]=>[4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,6,3,1,1]=>[5,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,6,1,1,3,3]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,1,3,1,3]=>[3,5,4,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,1,3,3,1]=>[3,6,4,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,3,1,1,3]=>[4,5,3,6,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,3,1,3,1]=>[4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,3,3,1,1]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[6,1,1,3,3,5]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,3,5,3]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,5,3,3]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,1,3,5]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,1,5,3]=>[2,4,3,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,3,1,5]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,3,5,1]=>[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,5,1,3]=>[2,5,3,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,5,3,1]=>[2,6,3,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,1,3,3]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,3,1,3]=>[2,5,4,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,3,3,1]=>[2,6,4,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,3,1,1,3,5]=>[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,1,5,3]=>[3,4,2,6,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,3,1,5]=>[3,5,2,4,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,3,5,1]=>[3,6,2,4,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,5,1,3]=>[3,5,2,6,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,5,3,1]=>[3,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,3,1,1,5]=>[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,3,3,1,5,1]=>[4,6,2,3,5,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,3,3,5,1,1]=>[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,3,5,1,1,3]=>[4,5,2,6,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,3,5,1,3,1]=>[4,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,3,5,3,1,1]=>[5,6,2,4,3,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,5,1,1,3,3]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,1,3,1,3]=>[3,5,4,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,1,3,3,1]=>[3,6,4,5,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,3,1,1,3]=>[4,5,3,6,2,1]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,5,3,1,3,1]=>[4,6,3,5,2,1]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,5,3,3,1,1]=>[5,6,3,4,2,1]=>[5,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[1,1,3,4,4,4]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,3,4,4]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,4,3,4]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,4,4,3]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,4,4,4]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,1,4,4]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,4,1,4]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,4,4,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,3,4,4]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,4,3,4]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,4,4,3]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,1,4,4]=>[1,4,3,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,4,1,4]=>[1,5,3,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,4,4,1]=>[1,6,3,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,1,3,4]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,1,4,3]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,3,1,4]=>[1,5,4,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,3,4,1]=>[1,6,4,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,4,1,3]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,4,3,1]=>[1,6,5,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[3,1,1,4,4,4]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,1,4,4]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,4,1,4]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,4,4,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,1,1,4,4]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,4,1,4]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,4,4,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,4,1,1,4]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,4,1,4,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,4,4,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[4,1,1,3,4,4]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,4,3,4]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,4,4,3]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,1,4,4]=>[2,4,3,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,4,1,4]=>[2,5,3,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,4,4,1]=>[2,6,3,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,1,3,4]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,1,4,3]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,3,1,4]=>[2,5,4,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,3,4,1]=>[2,6,4,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,4,1,3]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,4,3,1]=>[2,6,5,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,1,1,4,4]=>[3,4,2,1,5,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,4,1,4]=>[3,5,2,1,4,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,4,4,1]=>[3,6,2,1,4,5]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,4,1,1,4]=>[4,5,2,1,3,6]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,4,1,4,1]=>[4,6,2,1,3,5]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,4,4,1,1]=>[5,6,2,1,3,4]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,4,1,1,3,4]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,1,4,3]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,3,1,4]=>[3,5,4,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,3,4,1]=>[3,6,4,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,4,1,3]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,4,3,1]=>[3,6,5,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,3,1,1,4]=>[4,5,3,1,2,6]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,4,3,1,4,1]=>[4,6,3,1,2,5]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,4,3,4,1,1]=>[5,6,3,1,2,4]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,4,4,1,1,3]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,4,4,1,3,1]=>[4,6,5,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,4,4,3,1,1]=>[5,6,4,1,2,3]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[1,1,3,4,4,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,4,5,4]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,5,4,4]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,3,4,5]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,3,5,4]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,4,3,5]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,4,5,3]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,5,3,4]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,5,4,3]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,3,4,4]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,4,3,4]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,4,4,3]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,4,4,5]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,4,5,4]=>[1,3,2,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,5,4,4]=>[1,3,2,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,1,4,5]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,1,5,4]=>[1,4,2,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,4,1,5]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,4,5,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,5,1,4]=>[1,5,2,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,5,4,1]=>[1,6,2,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,1,4,4]=>[1,4,2,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,4,1,4]=>[1,5,2,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,4,4,1]=>[1,6,2,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,3,4,5]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,3,5,4]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,4,3,5]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,4,5,3]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,5,3,4]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,5,4,3]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,1,4,5]=>[1,4,3,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,1,5,4]=>[1,4,3,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,4,1,5]=>[1,5,3,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,4,5,1]=>[1,6,3,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,5,1,4]=>[1,5,3,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,5,4,1]=>[1,6,3,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,1,3,5]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,1,5,3]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,3,1,5]=>[1,5,4,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,3,5,1]=>[1,6,4,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,5,1,3]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,5,3,1]=>[1,6,5,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,1,3,4]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,1,4,3]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,3,1,4]=>[1,5,4,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,3,4,1]=>[1,6,4,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,4,1,3]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,4,3,1]=>[1,6,5,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,3,4,4]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,4,3,4]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,4,4,3]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,1,4,4]=>[1,4,3,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,4,1,4]=>[1,5,3,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,4,4,1]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,1,3,4]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,1,4,3]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,3,1,4]=>[1,5,4,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,3,4,1]=>[1,6,4,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,4,1,3]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,4,3,1]=>[1,6,5,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[3,1,1,4,4,5]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,4,5,4]=>[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,5,4,4]=>[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,1,4,5]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,1,5,4]=>[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,4,1,5]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,4,5,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,5,1,4]=>[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,5,4,1]=>[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,1,4,4]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,4,1,4]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,4,4,1]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,1,1,4,5]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,1,5,4]=>[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,4,1,5]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,4,5,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,5,1,4]=>[3,5,1,2,6,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,5,4,1]=>[3,6,1,2,5,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,4,1,1,5]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,4,1,5,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,4,5,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,4,5,1,1,4]=>[4,5,1,2,6,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,5,1,4,1]=>[4,6,1,2,5,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,5,4,1,1]=>[5,6,1,2,4,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,5,1,1,4,4]=>[3,4,1,5,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,4,1,4]=>[3,5,1,4,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,4,4,1]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,4,1,1,4]=>[4,5,1,3,6,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,4,1,4,1]=>[4,6,1,3,5,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,4,4,1,1]=>[5,6,1,3,4,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[4,1,1,3,4,5]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,3,5,4]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,4,3,5]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,4,5,3]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,5,3,4]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,5,4,3]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,1,4,5]=>[2,4,3,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,1,5,4]=>[2,4,3,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,4,1,5]=>[2,5,3,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,4,5,1]=>[2,6,3,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,5,1,4]=>[2,5,3,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,5,4,1]=>[2,6,3,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,1,3,5]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,1,5,3]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,3,1,5]=>[2,5,4,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,3,5,1]=>[2,6,4,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,5,1,3]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,5,3,1]=>[2,6,5,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,1,3,4]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,1,4,3]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,3,1,4]=>[2,5,4,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,3,4,1]=>[2,6,4,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,4,1,3]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,4,3,1]=>[2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,1,1,4,5]=>[3,4,2,1,5,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,1,5,4]=>[3,4,2,1,6,5]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,4,1,5]=>[3,5,2,1,4,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,4,5,1]=>[3,6,2,1,4,5]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,5,1,4]=>[3,5,2,1,6,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,5,4,1]=>[3,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,4,1,1,5]=>[4,5,2,1,3,6]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,4,1,5,1]=>[4,6,2,1,3,5]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,4,5,1,1]=>[5,6,2,1,3,4]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,3,5,1,1,4]=>[4,5,2,1,6,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,5,1,4,1]=>[4,6,2,1,5,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,5,4,1,1]=>[5,6,2,1,4,3]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,4,1,1,3,5]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,1,5,3]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,3,1,5]=>[3,5,4,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,3,5,1]=>[3,6,4,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,5,1,3]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,5,3,1]=>[3,6,5,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,3,1,1,5]=>[4,5,3,1,2,6]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,4,3,1,5,1]=>[4,6,3,1,2,5]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,4,3,5,1,1]=>[5,6,3,1,2,4]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,4,5,1,1,3]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,4,5,1,3,1]=>[4,6,5,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,4,5,3,1,1]=>[5,6,4,1,2,3]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[4,5,1,1,3,4]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,1,4,3]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,3,1,4]=>[3,5,4,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,3,4,1]=>[3,6,4,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,4,1,3]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,4,3,1]=>[3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,3,1,1,4]=>[4,5,3,1,6,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,3,1,4,1]=>[4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,3,4,1,1]=>[5,6,3,1,4,2]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,5,4,1,1,3]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,4,1,3,1]=>[4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,4,3,1,1]=>[5,6,4,1,3,2]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,1,1,3,4,4]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,4,3,4]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,4,4,3]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,1,4,4]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,4,1,4]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,4,4,1]=>[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,1,3,4]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,1,4,3]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,3,1,4]=>[2,5,4,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,3,4,1]=>[2,6,4,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,4,1,3]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,4,3,1]=>[2,6,5,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,1,1,4,4]=>[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,4,1,4]=>[3,5,2,4,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,4,4,1]=>[3,6,2,4,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,4,1,1,4]=>[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,4,1,4,1]=>[4,6,2,3,5,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,4,4,1,1]=>[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,4,1,1,3,4]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,1,4,3]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,3,1,4]=>[3,5,4,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,3,4,1]=>[3,6,4,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,4,1,3]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,4,3,1]=>[3,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,3,1,1,4]=>[4,5,3,2,6,1]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[5,4,3,1,4,1]=>[4,6,3,2,5,1]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[5,4,3,4,1,1]=>[5,6,3,2,4,1]=>[5,6,3,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,4,4,1,1,3]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,4,4,1,3,1]=>[4,6,5,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,4,4,3,1,1]=>[5,6,4,2,3,1]=>[5,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[1,1,3,4,4,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,4,6,4]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,6,4,4]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,3,4,6]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,3,6,4]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,4,3,6]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,4,6,3]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,6,3,4]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,6,4,3]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,3,4,4]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,4,3,4]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,4,4,3]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,4,4,6]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,4,6,4]=>[1,3,2,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,6,4,4]=>[1,3,2,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,1,4,6]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,1,6,4]=>[1,4,2,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,4,1,6]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,4,6,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,6,1,4]=>[1,5,2,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,6,4,1]=>[1,6,2,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,1,4,4]=>[1,4,2,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,4,1,4]=>[1,5,2,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,4,4,1]=>[1,6,2,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,3,4,6]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,3,6,4]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,4,3,6]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,4,6,3]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,6,3,4]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,6,4,3]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,1,4,6]=>[1,4,3,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,1,6,4]=>[1,4,3,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,4,1,6]=>[1,5,3,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,4,6,1]=>[1,6,3,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,6,1,4]=>[1,5,3,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,6,4,1]=>[1,6,3,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,1,3,6]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,1,6,3]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,3,1,6]=>[1,5,4,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,3,6,1]=>[1,6,4,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,6,1,3]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,6,3,1]=>[1,6,5,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,1,3,4]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,1,4,3]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,3,1,4]=>[1,5,4,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,3,4,1]=>[1,6,4,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,4,1,3]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,4,3,1]=>[1,6,5,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,3,4,4]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,4,3,4]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,4,4,3]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,1,4,4]=>[1,4,3,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,4,1,4]=>[1,5,3,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,4,4,1]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,1,3,4]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,1,4,3]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,3,1,4]=>[1,5,4,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,3,4,1]=>[1,6,4,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,4,1,3]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,4,3,1]=>[1,6,5,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[3,1,1,4,4,6]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,4,6,4]=>[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,6,4,4]=>[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,1,4,6]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,1,6,4]=>[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,4,1,6]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,4,6,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,6,1,4]=>[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,6,4,1]=>[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,1,4,4]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,4,1,4]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,4,4,1]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,1,1,4,6]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,1,6,4]=>[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,4,1,6]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,4,6,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,6,1,4]=>[3,5,1,2,6,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,6,4,1]=>[3,6,1,2,5,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,4,1,1,6]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,4,1,6,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,4,6,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,4,6,1,1,4]=>[4,5,1,2,6,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,6,1,4,1]=>[4,6,1,2,5,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,6,4,1,1]=>[5,6,1,2,4,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,6,1,1,4,4]=>[3,4,1,5,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,4,1,4]=>[3,5,1,4,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,4,4,1]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,4,1,1,4]=>[4,5,1,3,6,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,4,1,4,1]=>[4,6,1,3,5,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,4,4,1,1]=>[5,6,1,3,4,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[4,1,1,3,4,6]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,3,6,4]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,4,3,6]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,4,6,3]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,6,3,4]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,6,4,3]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,1,4,6]=>[2,4,3,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,1,6,4]=>[2,4,3,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,4,1,6]=>[2,5,3,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,4,6,1]=>[2,6,3,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,6,1,4]=>[2,5,3,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,6,4,1]=>[2,6,3,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,1,3,6]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,1,6,3]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,3,1,6]=>[2,5,4,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,3,6,1]=>[2,6,4,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,6,1,3]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,6,3,1]=>[2,6,5,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,1,3,4]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,1,4,3]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,3,1,4]=>[2,5,4,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,3,4,1]=>[2,6,4,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,4,1,3]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,4,3,1]=>[2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,1,1,4,6]=>[3,4,2,1,5,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,1,6,4]=>[3,4,2,1,6,5]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,4,1,6]=>[3,5,2,1,4,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,4,6,1]=>[3,6,2,1,4,5]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,6,1,4]=>[3,5,2,1,6,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,6,4,1]=>[3,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,4,1,1,6]=>[4,5,2,1,3,6]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,4,1,6,1]=>[4,6,2,1,3,5]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,4,6,1,1]=>[5,6,2,1,3,4]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,3,6,1,1,4]=>[4,5,2,1,6,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,6,1,4,1]=>[4,6,2,1,5,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,6,4,1,1]=>[5,6,2,1,4,3]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,4,1,1,3,6]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,1,6,3]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,3,1,6]=>[3,5,4,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,3,6,1]=>[3,6,4,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,6,1,3]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,6,3,1]=>[3,6,5,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,3,1,1,6]=>[4,5,3,1,2,6]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,4,3,1,6,1]=>[4,6,3,1,2,5]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,4,3,6,1,1]=>[5,6,3,1,2,4]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,4,6,1,1,3]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,4,6,1,3,1]=>[4,6,5,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,4,6,3,1,1]=>[5,6,4,1,2,3]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[4,6,1,1,3,4]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,1,4,3]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,3,1,4]=>[3,5,4,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,3,4,1]=>[3,6,4,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,4,1,3]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,4,3,1]=>[3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,3,1,1,4]=>[4,5,3,1,6,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,3,1,4,1]=>[4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,3,4,1,1]=>[5,6,3,1,4,2]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,6,4,1,1,3]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,4,1,3,1]=>[4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,4,3,1,1]=>[5,6,4,1,3,2]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[6,1,1,3,4,4]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,4,3,4]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,4,4,3]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,1,4,4]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,4,1,4]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,4,4,1]=>[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,1,3,4]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,1,4,3]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,3,1,4]=>[2,5,4,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,3,4,1]=>[2,6,4,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,4,1,3]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,4,3,1]=>[2,6,5,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,3,1,1,4,4]=>[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,4,1,4]=>[3,5,2,4,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,4,4,1]=>[3,6,2,4,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,4,1,1,4]=>[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,3,4,1,4,1]=>[4,6,2,3,5,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,3,4,4,1,1]=>[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,4,1,1,3,4]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,1,4,3]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,3,1,4]=>[3,5,4,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,3,4,1]=>[3,6,4,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,4,1,3]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,4,3,1]=>[3,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,3,1,1,4]=>[4,5,3,2,6,1]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,4,3,1,4,1]=>[4,6,3,2,5,1]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,4,3,4,1,1]=>[5,6,3,2,4,1]=>[5,6,3,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,4,4,1,1,3]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,4,4,1,3,1]=>[4,6,5,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,4,4,3,1,1]=>[5,6,4,2,3,1]=>[5,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[1,1,3,4,5,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,5,4,5]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,5,5,4]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,3,5,5]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,5,3,5]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,5,5,3]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,3,4,5]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,3,5,4]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,4,3,5]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,4,5,3]=>[1,2,6,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,5,3,4]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,5,4,3]=>[1,2,6,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,4,5,5]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,5,4,5]=>[1,3,2,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,5,5,4]=>[1,3,2,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,1,5,5]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,5,1,5]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,5,5,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,1,4,5]=>[1,4,2,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,1,5,4]=>[1,4,2,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,4,1,5]=>[1,5,2,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,4,5,1]=>[1,6,2,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,5,1,4]=>[1,5,2,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,5,4,1]=>[1,6,2,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,3,5,5]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,5,3,5]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,5,5,3]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,1,5,5]=>[1,4,3,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,5,1,5]=>[1,5,3,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,5,5,1]=>[1,6,3,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,1,3,5]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,1,5,3]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,3,1,5]=>[1,5,4,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,3,5,1]=>[1,6,4,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,5,1,3]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,5,3,1]=>[1,6,5,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,3,4,5]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,3,5,4]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,4,3,5]=>[1,3,5,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,4,5,3]=>[1,3,6,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,5,3,4]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,5,4,3]=>[1,3,6,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,1,4,5]=>[1,4,3,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,1,5,4]=>[1,4,3,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,4,1,5]=>[1,5,3,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,4,5,1]=>[1,6,3,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,5,1,4]=>[1,5,3,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,5,4,1]=>[1,6,3,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,1,3,5]=>[1,4,5,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,1,5,3]=>[1,4,6,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,3,1,5]=>[1,5,4,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,3,5,1]=>[1,6,4,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,5,1,3]=>[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,5,3,1]=>[1,6,5,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,1,3,4]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,1,4,3]=>[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,3,1,4]=>[1,5,4,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,3,4,1]=>[1,6,4,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,4,1,3]=>[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,4,3,1]=>[1,6,5,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[3,1,1,4,5,5]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,5,4,5]=>[2,3,1,5,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,5,5,4]=>[2,3,1,6,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,1,5,5]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,5,1,5]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,5,5,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,1,4,5]=>[2,4,1,5,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,1,5,4]=>[2,4,1,6,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,4,1,5]=>[2,5,1,4,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,4,5,1]=>[2,6,1,4,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,5,1,4]=>[2,5,1,6,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,5,4,1]=>[2,6,1,5,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,1,1,5,5]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,5,1,5]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,5,5,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,5,1,1,5]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,5,1,5,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,5,5,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,5,1,1,4,5]=>[3,4,1,5,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,1,5,4]=>[3,4,1,6,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,4,1,5]=>[3,5,1,4,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,4,5,1]=>[3,6,1,4,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,5,1,4]=>[3,5,1,6,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,5,4,1]=>[3,6,1,5,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,4,1,1,5]=>[4,5,1,3,2,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,4,1,5,1]=>[4,6,1,3,2,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,4,5,1,1]=>[5,6,1,3,2,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,5,5,1,1,4]=>[4,5,1,6,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,5,1,4,1]=>[4,6,1,5,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,5,4,1,1]=>[5,6,1,4,2,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[4,1,1,3,5,5]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,5,3,5]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,5,5,3]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,1,5,5]=>[2,4,3,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,5,1,5]=>[2,5,3,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,5,5,1]=>[2,6,3,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,1,3,5]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,1,5,3]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,3,1,5]=>[2,5,4,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,3,5,1]=>[2,6,4,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,5,1,3]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,5,3,1]=>[2,6,5,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,1,1,5,5]=>[3,4,2,1,5,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,5,1,5]=>[3,5,2,1,4,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,5,5,1]=>[3,6,2,1,4,5]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,5,1,1,5]=>[4,5,2,1,3,6]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,5,1,5,1]=>[4,6,2,1,3,5]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,5,5,1,1]=>[5,6,2,1,3,4]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,5,1,1,3,5]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,1,5,3]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,3,1,5]=>[3,5,4,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,3,5,1]=>[3,6,4,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,5,1,3]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,5,3,1]=>[3,6,5,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,3,1,1,5]=>[4,5,3,1,2,6]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,3,1,5,1]=>[4,6,3,1,2,5]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,3,5,1,1]=>[5,6,3,1,2,4]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,5,5,1,1,3]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,5,1,3,1]=>[4,6,5,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,5,3,1,1]=>[5,6,4,1,2,3]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,1,1,3,4,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,3,5,4]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,4,3,5]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,4,5,3]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,5,3,4]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,5,4,3]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,1,4,5]=>[2,4,3,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,1,5,4]=>[2,4,3,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,4,1,5]=>[2,5,3,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,4,5,1]=>[2,6,3,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,5,1,4]=>[2,5,3,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,5,4,1]=>[2,6,3,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,1,3,5]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,1,5,3]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,3,1,5]=>[2,5,4,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,3,5,1]=>[2,6,4,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,5,1,3]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,5,3,1]=>[2,6,5,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,1,3,4]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,1,4,3]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,3,1,4]=>[2,5,4,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,3,4,1]=>[2,6,4,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,4,1,3]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,4,3,1]=>[2,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,1,1,4,5]=>[3,4,2,5,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,1,5,4]=>[3,4,2,6,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,4,1,5]=>[3,5,2,4,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,4,5,1]=>[3,6,2,4,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,5,1,4]=>[3,5,2,6,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,5,4,1]=>[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,4,1,1,5]=>[4,5,2,3,1,6]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,4,1,5,1]=>[4,6,2,3,1,5]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,4,5,1,1]=>[5,6,2,3,1,4]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,3,5,1,1,4]=>[4,5,2,6,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,5,1,4,1]=>[4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,5,4,1,1]=>[5,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,4,1,1,3,5]=>[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,1,5,3]=>[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,3,1,5]=>[3,5,4,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,3,5,1]=>[3,6,4,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,5,1,3]=>[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,5,3,1]=>[3,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,3,1,1,5]=>[4,5,3,2,1,6]=>[4,6,3,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[5,4,3,1,5,1]=>[4,6,3,2,1,5]=>[4,6,3,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[5,4,3,5,1,1]=>[5,6,3,2,1,4]=>[5,6,3,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,4,5,1,1,3]=>[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,4,5,1,3,1]=>[4,6,5,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,4,5,3,1,1]=>[5,6,4,2,1,3]=>[5,6,4,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,5,1,1,3,4]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,1,1,4,3]=>[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,1,3,1,4]=>[3,5,4,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,1,3,4,1]=>[3,6,4,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,1,4,1,3]=>[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,1,4,3,1]=>[3,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,3,1,1,4]=>[4,5,3,6,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,5,3,1,4,1]=>[4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,5,3,4,1,1]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,5,4,1,1,3]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,5,4,1,3,1]=>[4,6,5,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,5,4,3,1,1]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[1,1,3,4,5,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,4,6,5]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,5,4,6]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,5,6,4]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,6,4,5]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,3,6,5,4]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,3,5,6]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,3,6,5]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,5,3,6]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,5,6,3]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,6,3,5]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,4,6,5,3]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,3,4,6]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,3,6,4]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,4,3,6]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,4,6,3]=>[1,2,6,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,6,3,4]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,5,6,4,3]=>[1,2,6,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,3,4,5]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,3,5,4]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,4,3,5]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,4,5,3]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,5,3,4]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,1,6,5,4,3]=>[1,2,6,5,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,4,5,6]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,4,6,5]=>[1,3,2,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,5,4,6]=>[1,3,2,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,5,6,4]=>[1,3,2,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,6,4,5]=>[1,3,2,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,1,6,5,4]=>[1,3,2,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,1,5,6]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,1,6,5]=>[1,4,2,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,5,1,6]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,5,6,1]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,6,1,5]=>[1,5,2,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,6,5,1]=>[1,6,2,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,1,4,6]=>[1,4,2,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,1,6,4]=>[1,4,2,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,4,1,6]=>[1,5,2,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,4,6,1]=>[1,6,2,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,6,1,4]=>[1,5,2,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,6,4,1]=>[1,6,2,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,1,4,5]=>[1,4,2,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,1,5,4]=>[1,4,2,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,4,1,5]=>[1,5,2,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,4,5,1]=>[1,6,2,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,5,1,4]=>[1,5,2,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,5,4,1]=>[1,6,2,5,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,3,5,6]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,3,6,5]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,5,3,6]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,5,6,3]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,6,3,5]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,1,6,5,3]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,1,5,6]=>[1,4,3,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,1,6,5]=>[1,4,3,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,5,1,6]=>[1,5,3,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,5,6,1]=>[1,6,3,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,6,1,5]=>[1,5,3,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,6,5,1]=>[1,6,3,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,1,3,6]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,1,6,3]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,3,1,6]=>[1,5,4,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,3,6,1]=>[1,6,4,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,6,1,3]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,6,3,1]=>[1,6,5,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,1,3,5]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,1,5,3]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,3,1,5]=>[1,5,4,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,3,5,1]=>[1,6,4,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,5,1,3]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,5,3,1]=>[1,6,5,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,3,4,6]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,3,6,4]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,4,3,6]=>[1,3,5,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,4,6,3]=>[1,3,6,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,6,3,4]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,1,6,4,3]=>[1,3,6,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,1,4,6]=>[1,4,3,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,1,6,4]=>[1,4,3,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,4,1,6]=>[1,5,3,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,4,6,1]=>[1,6,3,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,6,1,4]=>[1,5,3,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,6,4,1]=>[1,6,3,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,1,3,6]=>[1,4,5,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,1,6,3]=>[1,4,6,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,3,1,6]=>[1,5,4,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,3,6,1]=>[1,6,4,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,6,1,3]=>[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,6,3,1]=>[1,6,5,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,6,1,3,4]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,6,1,4,3]=>[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,6,3,1,4]=>[1,5,4,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,6,3,4,1]=>[1,6,4,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,6,4,1,3]=>[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,6,4,3,1]=>[1,6,5,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,3,4,5]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,3,5,4]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,4,3,5]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,4,5,3]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,5,3,4]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,1,5,4,3]=>[1,3,6,5,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,1,4,5]=>[1,4,3,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,1,5,4]=>[1,4,3,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,4,1,5]=>[1,5,3,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,4,5,1]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,5,1,4]=>[1,5,3,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,5,4,1]=>[1,6,3,5,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,1,3,5]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,1,5,3]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,3,1,5]=>[1,5,4,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,3,5,1]=>[1,6,4,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,5,1,3]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,5,3,1]=>[1,6,5,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,5,1,3,4]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,5,1,4,3]=>[1,4,6,5,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,5,3,1,4]=>[1,5,4,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,5,3,4,1]=>[1,6,4,5,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,5,4,1,3]=>[1,5,6,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,5,4,3,1]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[3,1,1,4,5,6]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,4,6,5]=>[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,5,4,6]=>[2,3,1,5,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,5,6,4]=>[2,3,1,6,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,6,4,5]=>[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,1,6,5,4]=>[2,3,1,6,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,1,5,6]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,1,6,5]=>[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,5,1,6]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,5,6,1]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,6,1,5]=>[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,6,5,1]=>[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,1,4,6]=>[2,4,1,5,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,1,6,4]=>[2,4,1,6,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,4,1,6]=>[2,5,1,4,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,4,6,1]=>[2,6,1,4,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,6,1,4]=>[2,5,1,6,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,6,4,1]=>[2,6,1,5,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,1,4,5]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,1,5,4]=>[2,4,1,6,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,4,1,5]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,4,5,1]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,5,1,4]=>[2,5,1,6,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,5,4,1]=>[2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,1,1,5,6]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,1,6,5]=>[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,5,1,6]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,5,6,1]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,6,1,5]=>[3,5,1,2,6,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,6,5,1]=>[3,6,1,2,5,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,5,1,1,6]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,5,1,6,1]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,5,6,1,1]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,4,6,1,1,5]=>[4,5,1,2,6,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,6,1,5,1]=>[4,6,1,2,5,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,6,5,1,1]=>[5,6,1,2,4,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,5,1,1,4,6]=>[3,4,1,5,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,1,6,4]=>[3,4,1,6,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,4,1,6]=>[3,5,1,4,2,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,4,6,1]=>[3,6,1,4,2,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,6,1,4]=>[3,5,1,6,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,6,4,1]=>[3,6,1,5,2,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,4,1,1,6]=>[4,5,1,3,2,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,4,1,6,1]=>[4,6,1,3,2,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,4,6,1,1]=>[5,6,1,3,2,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,5,6,1,1,4]=>[4,5,1,6,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,6,1,4,1]=>[4,6,1,5,2,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,6,4,1,1]=>[5,6,1,4,2,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,6,1,1,4,5]=>[3,4,1,5,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,1,5,4]=>[3,4,1,6,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,4,1,5]=>[3,5,1,4,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,4,5,1]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,5,1,4]=>[3,5,1,6,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,5,4,1]=>[3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,4,1,1,5]=>[4,5,1,3,6,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,4,1,5,1]=>[4,6,1,3,5,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,4,5,1,1]=>[5,6,1,3,4,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,6,5,1,1,4]=>[4,5,1,6,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,5,1,4,1]=>[4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,5,4,1,1]=>[5,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[4,1,1,3,5,6]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,3,6,5]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,5,3,6]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,5,6,3]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,6,3,5]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,1,6,5,3]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,1,5,6]=>[2,4,3,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,1,6,5]=>[2,4,3,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,5,1,6]=>[2,5,3,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,5,6,1]=>[2,6,3,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,6,1,5]=>[2,5,3,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,6,5,1]=>[2,6,3,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,1,3,6]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,1,6,3]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,3,1,6]=>[2,5,4,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,3,6,1]=>[2,6,4,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,6,1,3]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,6,3,1]=>[2,6,5,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,1,3,5]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,1,5,3]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,3,1,5]=>[2,5,4,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,3,5,1]=>[2,6,4,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,5,1,3]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,5,3,1]=>[2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,1,1,5,6]=>[3,4,2,1,5,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,1,6,5]=>[3,4,2,1,6,5]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,5,1,6]=>[3,5,2,1,4,6]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,5,6,1]=>[3,6,2,1,4,5]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,6,1,5]=>[3,5,2,1,6,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,6,5,1]=>[3,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,5,1,1,6]=>[4,5,2,1,3,6]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,5,1,6,1]=>[4,6,2,1,3,5]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,5,6,1,1]=>[5,6,2,1,3,4]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,3,6,1,1,5]=>[4,5,2,1,6,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,6,1,5,1]=>[4,6,2,1,5,3]=>[4,6,2,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,6,5,1,1]=>[5,6,2,1,4,3]=>[5,6,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,5,1,1,3,6]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,1,6,3]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,3,1,6]=>[3,5,4,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,3,6,1]=>[3,6,4,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,6,1,3]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,6,3,1]=>[3,6,5,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,3,1,1,6]=>[4,5,3,1,2,6]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,3,1,6,1]=>[4,6,3,1,2,5]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,3,6,1,1]=>[5,6,3,1,2,4]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,5,6,1,1,3]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,6,1,3,1]=>[4,6,5,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,6,3,1,1]=>[5,6,4,1,2,3]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[4,6,1,1,3,5]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,1,5,3]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,3,1,5]=>[3,5,4,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,3,5,1]=>[3,6,4,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,5,1,3]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,5,3,1]=>[3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,3,1,1,5]=>[4,5,3,1,6,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,3,1,5,1]=>[4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,3,5,1,1]=>[5,6,3,1,4,2]=>[5,6,3,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,6,5,1,1,3]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,5,1,3,1]=>[4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,5,3,1,1]=>[5,6,4,1,3,2]=>[5,6,4,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[5,1,1,3,4,6]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,3,6,4]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,4,3,6]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,4,6,3]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,6,3,4]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,1,6,4,3]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,1,4,6]=>[2,4,3,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,1,6,4]=>[2,4,3,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,4,1,6]=>[2,5,3,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,4,6,1]=>[2,6,3,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,6,1,4]=>[2,5,3,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,6,4,1]=>[2,6,3,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,1,3,6]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,1,6,3]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,3,1,6]=>[2,5,4,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,3,6,1]=>[2,6,4,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,6,1,3]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,6,3,1]=>[2,6,5,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,1,3,4]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,1,4,3]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,3,1,4]=>[2,5,4,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,3,4,1]=>[2,6,4,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,4,1,3]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,4,3,1]=>[2,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,1,1,4,6]=>[3,4,2,5,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,1,6,4]=>[3,4,2,6,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,4,1,6]=>[3,5,2,4,1,6]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,4,6,1]=>[3,6,2,4,1,5]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,6,1,4]=>[3,5,2,6,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,6,4,1]=>[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,4,1,1,6]=>[4,5,2,3,1,6]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,4,1,6,1]=>[4,6,2,3,1,5]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,4,6,1,1]=>[5,6,2,3,1,4]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,3,6,1,1,4]=>[4,5,2,6,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,6,1,4,1]=>[4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,6,4,1,1]=>[5,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,4,1,1,3,6]=>[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,1,6,3]=>[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,3,1,6]=>[3,5,4,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,3,6,1]=>[3,6,4,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,6,1,3]=>[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,6,3,1]=>[3,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,3,1,1,6]=>[4,5,3,2,1,6]=>[4,6,3,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[5,4,3,1,6,1]=>[4,6,3,2,1,5]=>[4,6,3,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[5,4,3,6,1,1]=>[5,6,3,2,1,4]=>[5,6,3,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,4,6,1,1,3]=>[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,4,6,1,3,1]=>[4,6,5,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,4,6,3,1,1]=>[5,6,4,2,1,3]=>[5,6,4,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,6,1,1,3,4]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,1,1,4,3]=>[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,1,3,1,4]=>[3,5,4,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,1,3,4,1]=>[3,6,4,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,1,4,1,3]=>[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,1,4,3,1]=>[3,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,3,1,1,4]=>[4,5,3,6,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,3,1,4,1]=>[4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,3,4,1,1]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,6,4,1,1,3]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,4,1,3,1]=>[4,6,5,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,4,3,1,1]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[6,1,1,3,4,5]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,3,5,4]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,4,3,5]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,4,5,3]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,5,3,4]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,1,5,4,3]=>[2,3,6,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,1,4,5]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,1,5,4]=>[2,4,3,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,4,1,5]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,4,5,1]=>[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,5,1,4]=>[2,5,3,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,5,4,1]=>[2,6,3,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,1,3,5]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,1,5,3]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,3,1,5]=>[2,5,4,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,3,5,1]=>[2,6,4,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,5,1,3]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,5,3,1]=>[2,6,5,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,1,3,4]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,1,4,3]=>[2,4,6,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,3,1,4]=>[2,5,4,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,3,4,1]=>[2,6,4,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,4,1,3]=>[2,5,6,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,4,3,1]=>[2,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,3,1,1,4,5]=>[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,1,5,4]=>[3,4,2,6,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,4,1,5]=>[3,5,2,4,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,4,5,1]=>[3,6,2,4,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,5,1,4]=>[3,5,2,6,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,5,4,1]=>[3,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,4,1,1,5]=>[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,3,4,1,5,1]=>[4,6,2,3,5,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,3,4,5,1,1]=>[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,3,5,1,1,4]=>[4,5,2,6,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,3,5,1,4,1]=>[4,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,3,5,4,1,1]=>[5,6,2,4,3,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,4,1,1,3,5]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,1,5,3]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,3,1,5]=>[3,5,4,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,3,5,1]=>[3,6,4,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,5,1,3]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,5,3,1]=>[3,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,3,1,1,5]=>[4,5,3,2,6,1]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,4,3,1,5,1]=>[4,6,3,2,5,1]=>[4,6,3,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,4,3,5,1,1]=>[5,6,3,2,4,1]=>[5,6,3,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,4,5,1,1,3]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,4,5,1,3,1]=>[4,6,5,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,4,5,3,1,1]=>[5,6,4,2,3,1]=>[5,6,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[6,5,1,1,3,4]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,1,1,4,3]=>[3,4,6,5,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,1,3,1,4]=>[3,5,4,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,1,3,4,1]=>[3,6,4,5,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,1,4,1,3]=>[3,5,6,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,1,4,3,1]=>[3,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,3,1,1,4]=>[4,5,3,6,2,1]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,5,3,1,4,1]=>[4,6,3,5,2,1]=>[4,6,3,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,5,3,4,1,1]=>[5,6,3,4,2,1]=>[5,6,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,5,4,1,1,3]=>[4,5,6,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,5,4,1,3,1]=>[4,6,5,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,5,4,3,1,1]=>[5,6,4,3,2,1]=>[5,6,4,3,2,1]=>[[[[[.,.],.],.],.],[.,.]]
[1,2,2,2,2,2]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,2,2,2,2]=>[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,2,2,2]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,2,1,2,2]=>[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,2,2,1,2]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,2,2,2,1]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[1,2,2,2,2,3]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,2,3,2]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,3,2,2]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,2,2,2]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,2,2,2]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,2,2,2,3]=>[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,2,3,2]=>[2,1,3,4,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,3,2,2]=>[2,1,3,5,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,2,2,2]=>[2,1,4,5,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,2,2,3]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,2,3,2]=>[3,1,2,4,6,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,3,2,2]=>[3,1,2,5,6,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,2,1,2,3]=>[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,2,1,3,2]=>[4,1,2,3,6,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,2,2,1,3]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,2,2,3,1]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,2,3,1,2]=>[5,1,2,3,6,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,2,3,2,1]=>[6,1,2,3,5,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,3,1,2,2]=>[4,1,2,5,6,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,3,2,1,2]=>[5,1,2,4,6,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,3,2,2,1]=>[6,1,2,4,5,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,1,2,2,2]=>[3,1,4,5,6,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,2,1,2,2]=>[4,1,3,5,6,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,2,2,1,2]=>[5,1,3,4,6,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,2,2,2,1]=>[6,1,3,4,5,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[3,1,2,2,2,2]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,2,2,2]=>[3,2,4,5,6,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,2,1,2,2]=>[4,2,3,5,6,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,2,2,1,2]=>[5,2,3,4,6,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,2,2,2,1]=>[6,2,3,4,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[1,2,2,2,2,4]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,2,4,2]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,4,2,2]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,2,2,2]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,2,2,2]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,2,2,2,4]=>[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,2,4,2]=>[2,1,3,4,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,4,2,2]=>[2,1,3,5,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,2,2,2]=>[2,1,4,5,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,2,2,4]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,2,4,2]=>[3,1,2,4,6,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,4,2,2]=>[3,1,2,5,6,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,2,1,2,4]=>[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,2,1,4,2]=>[4,1,2,3,6,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,2,2,1,4]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,2,2,4,1]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,2,4,1,2]=>[5,1,2,3,6,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,2,4,2,1]=>[6,1,2,3,5,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,4,1,2,2]=>[4,1,2,5,6,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,4,2,1,2]=>[5,1,2,4,6,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,4,2,2,1]=>[6,1,2,4,5,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,1,2,2,2]=>[3,1,4,5,6,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,2,1,2,2]=>[4,1,3,5,6,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,2,2,1,2]=>[5,1,3,4,6,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,2,2,2,1]=>[6,1,3,4,5,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[4,1,2,2,2,2]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,2,2,2]=>[3,2,4,5,6,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,2,1,2,2]=>[4,2,3,5,6,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,2,2,1,2]=>[5,2,3,4,6,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,2,2,2,1]=>[6,2,3,4,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[1,2,2,2,2,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,2,5,2]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,5,2,2]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,2,2,2]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,2,2,2]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,2,2,2,5]=>[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,2,5,2]=>[2,1,3,4,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,5,2,2]=>[2,1,3,5,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,2,2,2]=>[2,1,4,5,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,2,2,5]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,2,5,2]=>[3,1,2,4,6,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,5,2,2]=>[3,1,2,5,6,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,2,1,2,5]=>[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,2,1,5,2]=>[4,1,2,3,6,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,2,2,1,5]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,2,2,5,1]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,2,5,1,2]=>[5,1,2,3,6,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,2,5,2,1]=>[6,1,2,3,5,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,5,1,2,2]=>[4,1,2,5,6,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,5,2,1,2]=>[5,1,2,4,6,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,5,2,2,1]=>[6,1,2,4,5,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,1,2,2,2]=>[3,1,4,5,6,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,2,1,2,2]=>[4,1,3,5,6,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,2,2,1,2]=>[5,1,3,4,6,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,2,2,2,1]=>[6,1,3,4,5,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[5,1,2,2,2,2]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,2,2,2]=>[3,2,4,5,6,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,2,1,2,2]=>[4,2,3,5,6,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,2,2,1,2]=>[5,2,3,4,6,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,2,2,2,1]=>[6,2,3,4,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[1,2,2,2,2,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,2,6,2]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,6,2,2]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,2,2,2]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,2,2,2]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,2,2,2,6]=>[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,2,6,2]=>[2,1,3,4,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,6,2,2]=>[2,1,3,5,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,2,2,2]=>[2,1,4,5,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,2,2,6]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,2,6,2]=>[3,1,2,4,6,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,6,2,2]=>[3,1,2,5,6,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,2,1,2,6]=>[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,2,1,6,2]=>[4,1,2,3,6,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,2,2,1,6]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,2,2,6,1]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,2,6,1,2]=>[5,1,2,3,6,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,2,6,2,1]=>[6,1,2,3,5,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,6,1,2,2]=>[4,1,2,5,6,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,6,2,1,2]=>[5,1,2,4,6,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,6,2,2,1]=>[6,1,2,4,5,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,1,2,2,2]=>[3,1,4,5,6,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,2,1,2,2]=>[4,1,3,5,6,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,2,2,1,2]=>[5,1,3,4,6,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,2,2,2,1]=>[6,1,3,4,5,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[6,1,2,2,2,2]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,1,2,2,2]=>[3,2,4,5,6,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,2,1,2,2]=>[4,2,3,5,6,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,2,2,1,2]=>[5,2,3,4,6,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,2,2,2,1]=>[6,2,3,4,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[1,2,2,2,3,3]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,3,2,3]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,3,3,2]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,2,2,3]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,2,3,2]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,3,2,2]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,2,2,3]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,2,3,2]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,3,2,2]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,2,2,2]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,2,2,3,3]=>[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,3,2,3]=>[2,1,3,5,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,3,3,2]=>[2,1,3,6,4,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,2,2,3]=>[2,1,4,5,3,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,2,3,2]=>[2,1,4,6,3,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,3,2,2]=>[2,1,5,6,3,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,2,3,3]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,3,2,3]=>[3,1,2,5,4,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,3,3,2]=>[3,1,2,6,4,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,2,1,3,3]=>[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,2,3,1,3]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,2,3,3,1]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,3,1,2,3]=>[4,1,2,5,3,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,3,1,3,2]=>[4,1,2,6,3,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,3,2,1,3]=>[5,1,2,4,3,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,3,2,3,1]=>[6,1,2,4,3,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,3,3,1,2]=>[5,1,2,6,3,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,3,3,2,1]=>[6,1,2,5,3,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,1,2,2,3]=>[3,1,4,5,2,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,2,3,2]=>[3,1,4,6,2,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,3,2,2]=>[3,1,5,6,2,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,2,1,2,3]=>[4,1,3,5,2,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,2,1,3,2]=>[4,1,3,6,2,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,2,2,1,3]=>[5,1,3,4,2,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,2,2,3,1]=>[6,1,3,4,2,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,2,3,1,2]=>[5,1,3,6,2,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,2,3,2,1]=>[6,1,3,5,2,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,3,1,2,2]=>[4,1,5,6,2,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,3,2,1,2]=>[5,1,4,6,2,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,3,2,2,1]=>[6,1,4,5,2,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[3,1,2,2,2,3]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,2,3,2]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,3,2,2]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,2,2,2]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,2,2,3]=>[3,2,4,5,1,6]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,2,3,2]=>[3,2,4,6,1,5]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,3,2,2]=>[3,2,5,6,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,2,1,2,3]=>[4,2,3,5,1,6]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,2,1,3,2]=>[4,2,3,6,1,5]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,2,2,1,3]=>[5,2,3,4,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,2,2,3,1]=>[6,2,3,4,1,5]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,2,3,1,2]=>[5,2,3,6,1,4]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,2,3,2,1]=>[6,2,3,5,1,4]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,3,1,2,2]=>[4,2,5,6,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,3,2,1,2]=>[5,2,4,6,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,3,2,2,1]=>[6,2,4,5,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,3,1,2,2,2]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,2,1,2,2]=>[4,3,5,6,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,3,2,2,1,2]=>[5,3,4,6,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,3,2,2,2,1]=>[6,3,4,5,1,2]=>[6,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],.]
[1,2,2,2,3,4]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,2,4,3]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,3,2,4]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,3,4,2]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,4,2,3]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,4,3,2]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,2,2,4]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,2,4,2]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,4,2,2]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,2,2,3]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,2,3,2]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,3,2,2]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,2,2,4]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,2,4,2]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,4,2,2]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,2,2,2]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,2,2,3]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,2,3,2]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,3,2,2]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,2,2,2]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,2,2,3,4]=>[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,2,4,3]=>[2,1,3,4,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,3,2,4]=>[2,1,3,5,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,3,4,2]=>[2,1,3,6,4,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,4,2,3]=>[2,1,3,5,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,4,3,2]=>[2,1,3,6,5,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,2,2,4]=>[2,1,4,5,3,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,2,4,2]=>[2,1,4,6,3,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,4,2,2]=>[2,1,5,6,3,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,2,2,3]=>[2,1,4,5,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,2,3,2]=>[2,1,4,6,5,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,3,2,2]=>[2,1,5,6,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,2,3,4]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,2,4,3]=>[3,1,2,4,6,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,3,2,4]=>[3,1,2,5,4,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,3,4,2]=>[3,1,2,6,4,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,4,2,3]=>[3,1,2,5,6,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,4,3,2]=>[3,1,2,6,5,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,2,1,3,4]=>[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,2,1,4,3]=>[4,1,2,3,6,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,2,3,1,4]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,2,3,4,1]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,2,4,1,3]=>[5,1,2,3,6,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,2,4,3,1]=>[6,1,2,3,5,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,3,1,2,4]=>[4,1,2,5,3,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,3,1,4,2]=>[4,1,2,6,3,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,3,2,1,4]=>[5,1,2,4,3,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,3,2,4,1]=>[6,1,2,4,3,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,3,4,1,2]=>[5,1,2,6,3,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,3,4,2,1]=>[6,1,2,5,3,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,4,1,2,3]=>[4,1,2,5,6,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,4,1,3,2]=>[4,1,2,6,5,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,4,2,1,3]=>[5,1,2,4,6,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,4,2,3,1]=>[6,1,2,4,5,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,4,3,1,2]=>[5,1,2,6,4,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,4,3,2,1]=>[6,1,2,5,4,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,1,2,2,4]=>[3,1,4,5,2,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,2,4,2]=>[3,1,4,6,2,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,4,2,2]=>[3,1,5,6,2,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,2,1,2,4]=>[4,1,3,5,2,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,2,1,4,2]=>[4,1,3,6,2,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,2,2,1,4]=>[5,1,3,4,2,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,2,2,4,1]=>[6,1,3,4,2,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,2,4,1,2]=>[5,1,3,6,2,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,2,4,2,1]=>[6,1,3,5,2,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,4,1,2,2]=>[4,1,5,6,2,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,4,2,1,2]=>[5,1,4,6,2,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,4,2,2,1]=>[6,1,4,5,2,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,1,2,2,3]=>[3,1,4,5,6,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,2,3,2]=>[3,1,4,6,5,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,3,2,2]=>[3,1,5,6,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,2,1,2,3]=>[4,1,3,5,6,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,2,1,3,2]=>[4,1,3,6,5,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,2,2,1,3]=>[5,1,3,4,6,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,2,2,3,1]=>[6,1,3,4,5,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,2,3,1,2]=>[5,1,3,6,4,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,2,3,2,1]=>[6,1,3,5,4,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,3,1,2,2]=>[4,1,5,6,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,3,2,1,2]=>[5,1,4,6,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,3,2,2,1]=>[6,1,4,5,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[3,1,2,2,2,4]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,2,4,2]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,4,2,2]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,2,2,2]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,2,2,4]=>[3,2,4,5,1,6]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,2,4,2]=>[3,2,4,6,1,5]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,4,2,2]=>[3,2,5,6,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,2,1,2,4]=>[4,2,3,5,1,6]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,2,1,4,2]=>[4,2,3,6,1,5]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,2,2,1,4]=>[5,2,3,4,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,2,2,4,1]=>[6,2,3,4,1,5]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,2,4,1,2]=>[5,2,3,6,1,4]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,2,4,2,1]=>[6,2,3,5,1,4]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,4,1,2,2]=>[4,2,5,6,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,4,2,1,2]=>[5,2,4,6,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,4,2,2,1]=>[6,2,4,5,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,4,1,2,2,2]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,2,1,2,2]=>[4,3,5,6,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,4,2,2,1,2]=>[5,3,4,6,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,4,2,2,2,1]=>[6,3,4,5,1,2]=>[6,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],.]
[4,1,2,2,2,3]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,2,3,2]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,3,2,2]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,2,2,2]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,2,2,3]=>[3,2,4,5,6,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,2,3,2]=>[3,2,4,6,5,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,3,2,2]=>[3,2,5,6,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,2,1,2,3]=>[4,2,3,5,6,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,2,1,3,2]=>[4,2,3,6,5,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,2,2,1,3]=>[5,2,3,4,6,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,2,2,3,1]=>[6,2,3,4,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,2,3,1,2]=>[5,2,3,6,4,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,2,3,2,1]=>[6,2,3,5,4,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,3,1,2,2]=>[4,2,5,6,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,2,1,2]=>[5,2,4,6,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,3,2,2,1]=>[6,2,4,5,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[4,3,1,2,2,2]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,2,1,2,2]=>[4,3,5,6,2,1]=>[4,3,6,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,2,1,2]=>[5,3,4,6,2,1]=>[5,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[4,3,2,2,2,1]=>[6,3,4,5,2,1]=>[6,3,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,2,2,2,3,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,2,5,3]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,3,2,5]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,3,5,2]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,5,2,3]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,5,3,2]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,2,2,5]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,2,5,2]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,5,2,2]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,2,2,3]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,2,3,2]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,3,2,2]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,2,2,5]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,2,5,2]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,5,2,2]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,2,2,2]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,2,2,3]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,2,3,2]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,3,2,2]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,2,2,2]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,2,2,3,5]=>[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,2,5,3]=>[2,1,3,4,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,3,2,5]=>[2,1,3,5,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,3,5,2]=>[2,1,3,6,4,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,5,2,3]=>[2,1,3,5,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,5,3,2]=>[2,1,3,6,5,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,2,2,5]=>[2,1,4,5,3,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,2,5,2]=>[2,1,4,6,3,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,5,2,2]=>[2,1,5,6,3,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,2,2,3]=>[2,1,4,5,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,2,3,2]=>[2,1,4,6,5,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,3,2,2]=>[2,1,5,6,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,2,3,5]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,2,5,3]=>[3,1,2,4,6,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,3,2,5]=>[3,1,2,5,4,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,3,5,2]=>[3,1,2,6,4,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,5,2,3]=>[3,1,2,5,6,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,5,3,2]=>[3,1,2,6,5,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,2,1,3,5]=>[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,2,1,5,3]=>[4,1,2,3,6,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,2,3,1,5]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,2,3,5,1]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,2,5,1,3]=>[5,1,2,3,6,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,2,5,3,1]=>[6,1,2,3,5,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,3,1,2,5]=>[4,1,2,5,3,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,3,1,5,2]=>[4,1,2,6,3,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,3,2,1,5]=>[5,1,2,4,3,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,3,2,5,1]=>[6,1,2,4,3,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,3,5,1,2]=>[5,1,2,6,3,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,3,5,2,1]=>[6,1,2,5,3,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,5,1,2,3]=>[4,1,2,5,6,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,5,1,3,2]=>[4,1,2,6,5,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,5,2,1,3]=>[5,1,2,4,6,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,5,2,3,1]=>[6,1,2,4,5,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,5,3,1,2]=>[5,1,2,6,4,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,5,3,2,1]=>[6,1,2,5,4,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,1,2,2,5]=>[3,1,4,5,2,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,2,5,2]=>[3,1,4,6,2,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,5,2,2]=>[3,1,5,6,2,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,2,1,2,5]=>[4,1,3,5,2,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,2,1,5,2]=>[4,1,3,6,2,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,2,2,1,5]=>[5,1,3,4,2,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,2,2,5,1]=>[6,1,3,4,2,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,2,5,1,2]=>[5,1,3,6,2,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,2,5,2,1]=>[6,1,3,5,2,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,5,1,2,2]=>[4,1,5,6,2,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,5,2,1,2]=>[5,1,4,6,2,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,5,2,2,1]=>[6,1,4,5,2,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,1,2,2,3]=>[3,1,4,5,6,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,2,3,2]=>[3,1,4,6,5,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,3,2,2]=>[3,1,5,6,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,2,1,2,3]=>[4,1,3,5,6,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,2,1,3,2]=>[4,1,3,6,5,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,2,2,1,3]=>[5,1,3,4,6,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,2,2,3,1]=>[6,1,3,4,5,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,2,3,1,2]=>[5,1,3,6,4,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,2,3,2,1]=>[6,1,3,5,4,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,3,1,2,2]=>[4,1,5,6,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,3,2,1,2]=>[5,1,4,6,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,3,2,2,1]=>[6,1,4,5,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[3,1,2,2,2,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,2,5,2]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,5,2,2]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,2,2,2]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,2,2,5]=>[3,2,4,5,1,6]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,2,5,2]=>[3,2,4,6,1,5]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,5,2,2]=>[3,2,5,6,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,2,1,2,5]=>[4,2,3,5,1,6]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,2,1,5,2]=>[4,2,3,6,1,5]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,2,2,1,5]=>[5,2,3,4,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,2,2,5,1]=>[6,2,3,4,1,5]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,2,5,1,2]=>[5,2,3,6,1,4]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,2,5,2,1]=>[6,2,3,5,1,4]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,5,1,2,2]=>[4,2,5,6,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,5,2,1,2]=>[5,2,4,6,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,5,2,2,1]=>[6,2,4,5,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,5,1,2,2,2]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,2,1,2,2]=>[4,3,5,6,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,5,2,2,1,2]=>[5,3,4,6,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,5,2,2,2,1]=>[6,3,4,5,1,2]=>[6,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],.]
[5,1,2,2,2,3]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,2,3,2]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,3,2,2]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,2,2,2]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,2,2,3]=>[3,2,4,5,6,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,2,3,2]=>[3,2,4,6,5,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,3,2,2]=>[3,2,5,6,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,2,1,2,3]=>[4,2,3,5,6,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,2,1,3,2]=>[4,2,3,6,5,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,2,2,1,3]=>[5,2,3,4,6,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,2,2,3,1]=>[6,2,3,4,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,2,3,1,2]=>[5,2,3,6,4,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,2,3,2,1]=>[6,2,3,5,4,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,3,1,2,2]=>[4,2,5,6,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,3,2,1,2]=>[5,2,4,6,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,2,2,1]=>[6,2,4,5,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,3,1,2,2,2]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,2,1,2,2]=>[4,3,5,6,2,1]=>[4,3,6,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[5,3,2,2,1,2]=>[5,3,4,6,2,1]=>[5,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,2,2,1]=>[6,3,4,5,2,1]=>[6,3,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,2,2,2,3,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,2,6,3]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,3,2,6]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,3,6,2]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,6,2,3]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,6,3,2]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,2,2,6]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,2,6,2]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,6,2,2]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,2,2,3]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,2,3,2]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,3,2,2]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,2,2,6]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,2,6,2]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,6,2,2]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,2,2,2]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,2,2,3]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,2,3,2]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,3,2,2]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,2,2,2]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,2,2,3,6]=>[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,2,6,3]=>[2,1,3,4,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,3,2,6]=>[2,1,3,5,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,3,6,2]=>[2,1,3,6,4,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,6,2,3]=>[2,1,3,5,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,6,3,2]=>[2,1,3,6,5,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,2,2,6]=>[2,1,4,5,3,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,2,6,2]=>[2,1,4,6,3,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,6,2,2]=>[2,1,5,6,3,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,2,2,3]=>[2,1,4,5,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,2,3,2]=>[2,1,4,6,5,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,3,2,2]=>[2,1,5,6,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,2,3,6]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,2,6,3]=>[3,1,2,4,6,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,3,2,6]=>[3,1,2,5,4,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,3,6,2]=>[3,1,2,6,4,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,6,2,3]=>[3,1,2,5,6,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,6,3,2]=>[3,1,2,6,5,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,2,1,3,6]=>[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,2,1,6,3]=>[4,1,2,3,6,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,2,3,1,6]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,2,3,6,1]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,2,6,1,3]=>[5,1,2,3,6,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,2,6,3,1]=>[6,1,2,3,5,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,3,1,2,6]=>[4,1,2,5,3,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,3,1,6,2]=>[4,1,2,6,3,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,3,2,1,6]=>[5,1,2,4,3,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,3,2,6,1]=>[6,1,2,4,3,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,3,6,1,2]=>[5,1,2,6,3,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,3,6,2,1]=>[6,1,2,5,3,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,6,1,2,3]=>[4,1,2,5,6,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,6,1,3,2]=>[4,1,2,6,5,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,6,2,1,3]=>[5,1,2,4,6,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,6,2,3,1]=>[6,1,2,4,5,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,6,3,1,2]=>[5,1,2,6,4,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,6,3,2,1]=>[6,1,2,5,4,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,1,2,2,6]=>[3,1,4,5,2,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,2,6,2]=>[3,1,4,6,2,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,6,2,2]=>[3,1,5,6,2,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,2,1,2,6]=>[4,1,3,5,2,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,2,1,6,2]=>[4,1,3,6,2,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,2,2,1,6]=>[5,1,3,4,2,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,2,2,6,1]=>[6,1,3,4,2,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,2,6,1,2]=>[5,1,3,6,2,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,2,6,2,1]=>[6,1,3,5,2,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,6,1,2,2]=>[4,1,5,6,2,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,6,2,1,2]=>[5,1,4,6,2,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,6,2,2,1]=>[6,1,4,5,2,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,1,2,2,3]=>[3,1,4,5,6,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,2,3,2]=>[3,1,4,6,5,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,3,2,2]=>[3,1,5,6,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,2,1,2,3]=>[4,1,3,5,6,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,2,1,3,2]=>[4,1,3,6,5,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,2,2,1,3]=>[5,1,3,4,6,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,2,2,3,1]=>[6,1,3,4,5,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,2,3,1,2]=>[5,1,3,6,4,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,2,3,2,1]=>[6,1,3,5,4,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,3,1,2,2]=>[4,1,5,6,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,3,2,1,2]=>[5,1,4,6,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,3,2,2,1]=>[6,1,4,5,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[3,1,2,2,2,6]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,2,6,2]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,6,2,2]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,2,2,2]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,2,2,6]=>[3,2,4,5,1,6]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,2,6,2]=>[3,2,4,6,1,5]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,6,2,2]=>[3,2,5,6,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,2,1,2,6]=>[4,2,3,5,1,6]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,2,1,6,2]=>[4,2,3,6,1,5]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,2,2,1,6]=>[5,2,3,4,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,2,2,6,1]=>[6,2,3,4,1,5]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,2,6,1,2]=>[5,2,3,6,1,4]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,2,6,2,1]=>[6,2,3,5,1,4]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,6,1,2,2]=>[4,2,5,6,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,6,2,1,2]=>[5,2,4,6,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,6,2,2,1]=>[6,2,4,5,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,6,1,2,2,2]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,2,1,2,2]=>[4,3,5,6,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,6,2,2,1,2]=>[5,3,4,6,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,6,2,2,2,1]=>[6,3,4,5,1,2]=>[6,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,1,2,2,2,3]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,2,3,2]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,3,2,2]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,2,2,2]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,1,2,2,3]=>[3,2,4,5,6,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,2,3,2]=>[3,2,4,6,5,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,3,2,2]=>[3,2,5,6,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,2,1,2,3]=>[4,2,3,5,6,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,2,1,3,2]=>[4,2,3,6,5,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,2,2,1,3]=>[5,2,3,4,6,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,2,2,3,1]=>[6,2,3,4,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,2,3,1,2]=>[5,2,3,6,4,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,2,3,2,1]=>[6,2,3,5,4,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,3,1,2,2]=>[4,2,5,6,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,3,2,1,2]=>[5,2,4,6,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,3,2,2,1]=>[6,2,4,5,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,3,1,2,2,2]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,2,1,2,2]=>[4,3,5,6,2,1]=>[4,3,6,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,3,2,2,1,2]=>[5,3,4,6,2,1]=>[5,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,3,2,2,2,1]=>[6,3,4,5,2,1]=>[6,3,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,2,2,2,4,4]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,4,2,4]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,4,4,2]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,2,2,4]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,2,4,2]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,4,2,2]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,2,2,4]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,2,4,2]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,4,2,2]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,2,2,2]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,2,2,4,4]=>[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,4,2,4]=>[2,1,3,5,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,4,4,2]=>[2,1,3,6,4,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,2,2,4]=>[2,1,4,5,3,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,2,4,2]=>[2,1,4,6,3,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,4,2,2]=>[2,1,5,6,3,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,2,4,4]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,4,2,4]=>[3,1,2,5,4,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,4,4,2]=>[3,1,2,6,4,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,2,1,4,4]=>[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,2,4,1,4]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,2,4,4,1]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,4,1,2,4]=>[4,1,2,5,3,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,4,1,4,2]=>[4,1,2,6,3,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,4,2,1,4]=>[5,1,2,4,3,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,4,2,4,1]=>[6,1,2,4,3,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,4,4,1,2]=>[5,1,2,6,3,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,4,4,2,1]=>[6,1,2,5,3,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,1,2,2,4]=>[3,1,4,5,2,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,2,4,2]=>[3,1,4,6,2,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,4,2,2]=>[3,1,5,6,2,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,2,1,2,4]=>[4,1,3,5,2,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,2,1,4,2]=>[4,1,3,6,2,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,2,2,1,4]=>[5,1,3,4,2,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,2,2,4,1]=>[6,1,3,4,2,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,2,4,1,2]=>[5,1,3,6,2,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,2,4,2,1]=>[6,1,3,5,2,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,4,1,2,2]=>[4,1,5,6,2,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,4,2,1,2]=>[5,1,4,6,2,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,4,2,2,1]=>[6,1,4,5,2,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[4,1,2,2,2,4]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,2,4,2]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,4,2,2]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,2,2,2]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,2,2,4]=>[3,2,4,5,1,6]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,2,4,2]=>[3,2,4,6,1,5]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,4,2,2]=>[3,2,5,6,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,2,1,2,4]=>[4,2,3,5,1,6]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,2,1,4,2]=>[4,2,3,6,1,5]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,2,2,1,4]=>[5,2,3,4,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,2,2,4,1]=>[6,2,3,4,1,5]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,2,4,1,2]=>[5,2,3,6,1,4]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,2,4,2,1]=>[6,2,3,5,1,4]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,4,1,2,2]=>[4,2,5,6,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,4,2,1,2]=>[5,2,4,6,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,4,2,2,1]=>[6,2,4,5,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,4,1,2,2,2]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,2,1,2,2]=>[4,3,5,6,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,4,2,2,1,2]=>[5,3,4,6,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,4,2,2,2,1]=>[6,3,4,5,1,2]=>[6,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],.]
[1,2,2,2,4,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,2,5,4]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,4,2,5]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,4,5,2]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,5,2,4]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,5,4,2]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,2,2,5]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,2,5,2]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,5,2,2]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,2,2,4]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,2,4,2]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,4,2,2]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,2,2,5]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,2,5,2]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,5,2,2]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,2,2,2]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,2,2,4]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,2,4,2]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,4,2,2]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,2,2,2]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,2,2,4,5]=>[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,2,5,4]=>[2,1,3,4,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,4,2,5]=>[2,1,3,5,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,4,5,2]=>[2,1,3,6,4,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,5,2,4]=>[2,1,3,5,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,5,4,2]=>[2,1,3,6,5,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,2,2,5]=>[2,1,4,5,3,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,2,5,2]=>[2,1,4,6,3,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,5,2,2]=>[2,1,5,6,3,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,2,2,4]=>[2,1,4,5,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,2,4,2]=>[2,1,4,6,5,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,4,2,2]=>[2,1,5,6,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,2,4,5]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,2,5,4]=>[3,1,2,4,6,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,4,2,5]=>[3,1,2,5,4,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,4,5,2]=>[3,1,2,6,4,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,5,2,4]=>[3,1,2,5,6,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,5,4,2]=>[3,1,2,6,5,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,2,1,4,5]=>[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,2,1,5,4]=>[4,1,2,3,6,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,2,4,1,5]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,2,4,5,1]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,2,5,1,4]=>[5,1,2,3,6,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,2,5,4,1]=>[6,1,2,3,5,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,4,1,2,5]=>[4,1,2,5,3,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,4,1,5,2]=>[4,1,2,6,3,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,4,2,1,5]=>[5,1,2,4,3,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,4,2,5,1]=>[6,1,2,4,3,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,4,5,1,2]=>[5,1,2,6,3,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,4,5,2,1]=>[6,1,2,5,3,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,5,1,2,4]=>[4,1,2,5,6,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,5,1,4,2]=>[4,1,2,6,5,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,5,2,1,4]=>[5,1,2,4,6,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,5,2,4,1]=>[6,1,2,4,5,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,5,4,1,2]=>[5,1,2,6,4,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,5,4,2,1]=>[6,1,2,5,4,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,1,2,2,5]=>[3,1,4,5,2,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,2,5,2]=>[3,1,4,6,2,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,5,2,2]=>[3,1,5,6,2,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,2,1,2,5]=>[4,1,3,5,2,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,2,1,5,2]=>[4,1,3,6,2,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,2,2,1,5]=>[5,1,3,4,2,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,2,2,5,1]=>[6,1,3,4,2,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,2,5,1,2]=>[5,1,3,6,2,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,2,5,2,1]=>[6,1,3,5,2,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,5,1,2,2]=>[4,1,5,6,2,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,5,2,1,2]=>[5,1,4,6,2,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,5,2,2,1]=>[6,1,4,5,2,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,1,2,2,4]=>[3,1,4,5,6,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,2,4,2]=>[3,1,4,6,5,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,4,2,2]=>[3,1,5,6,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,2,1,2,4]=>[4,1,3,5,6,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,2,1,4,2]=>[4,1,3,6,5,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,2,2,1,4]=>[5,1,3,4,6,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,2,2,4,1]=>[6,1,3,4,5,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,2,4,1,2]=>[5,1,3,6,4,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,2,4,2,1]=>[6,1,3,5,4,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,4,1,2,2]=>[4,1,5,6,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,4,2,1,2]=>[5,1,4,6,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,4,2,2,1]=>[6,1,4,5,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[4,1,2,2,2,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,2,5,2]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,5,2,2]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,2,2,2]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,2,2,5]=>[3,2,4,5,1,6]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,2,5,2]=>[3,2,4,6,1,5]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,5,2,2]=>[3,2,5,6,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,2,1,2,5]=>[4,2,3,5,1,6]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,2,1,5,2]=>[4,2,3,6,1,5]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,2,2,1,5]=>[5,2,3,4,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,2,2,5,1]=>[6,2,3,4,1,5]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,2,5,1,2]=>[5,2,3,6,1,4]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,2,5,2,1]=>[6,2,3,5,1,4]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,5,1,2,2]=>[4,2,5,6,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,2,1,2]=>[5,2,4,6,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,5,2,2,1]=>[6,2,4,5,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,5,1,2,2,2]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,2,1,2,2]=>[4,3,5,6,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,2,2,1,2]=>[5,3,4,6,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,5,2,2,2,1]=>[6,3,4,5,1,2]=>[6,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],.]
[5,1,2,2,2,4]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,2,4,2]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,4,2,2]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,2,2,2]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,2,2,4]=>[3,2,4,5,6,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,2,4,2]=>[3,2,4,6,5,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,4,2,2]=>[3,2,5,6,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,2,1,2,4]=>[4,2,3,5,6,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,2,1,4,2]=>[4,2,3,6,5,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,2,2,1,4]=>[5,2,3,4,6,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,2,2,4,1]=>[6,2,3,4,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,2,4,1,2]=>[5,2,3,6,4,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,2,4,2,1]=>[6,2,3,5,4,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,4,1,2,2]=>[4,2,5,6,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,4,2,1,2]=>[5,2,4,6,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,2,2,1]=>[6,2,4,5,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,4,1,2,2,2]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,2,1,2,2]=>[4,3,5,6,2,1]=>[4,3,6,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[5,4,2,2,1,2]=>[5,3,4,6,2,1]=>[5,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,4,2,2,2,1]=>[6,3,4,5,2,1]=>[6,3,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,2,2,2,4,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,2,6,4]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,4,2,6]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,4,6,2]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,6,2,4]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,6,4,2]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,2,2,6]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,2,6,2]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,6,2,2]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,2,2,4]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,2,4,2]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,4,2,2]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,2,2,6]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,2,6,2]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,6,2,2]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,2,2,2]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,2,2,4]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,2,4,2]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,4,2,2]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,2,2,2]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,2,2,4,6]=>[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,2,6,4]=>[2,1,3,4,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,4,2,6]=>[2,1,3,5,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,4,6,2]=>[2,1,3,6,4,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,6,2,4]=>[2,1,3,5,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,6,4,2]=>[2,1,3,6,5,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,2,2,6]=>[2,1,4,5,3,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,2,6,2]=>[2,1,4,6,3,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,6,2,2]=>[2,1,5,6,3,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,2,2,4]=>[2,1,4,5,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,2,4,2]=>[2,1,4,6,5,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,4,2,2]=>[2,1,5,6,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,2,4,6]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,2,6,4]=>[3,1,2,4,6,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,4,2,6]=>[3,1,2,5,4,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,4,6,2]=>[3,1,2,6,4,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,6,2,4]=>[3,1,2,5,6,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,6,4,2]=>[3,1,2,6,5,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,2,1,4,6]=>[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,2,1,6,4]=>[4,1,2,3,6,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,2,4,1,6]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,2,4,6,1]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,2,6,1,4]=>[5,1,2,3,6,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,2,6,4,1]=>[6,1,2,3,5,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,4,1,2,6]=>[4,1,2,5,3,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,4,1,6,2]=>[4,1,2,6,3,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,4,2,1,6]=>[5,1,2,4,3,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,4,2,6,1]=>[6,1,2,4,3,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,4,6,1,2]=>[5,1,2,6,3,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,4,6,2,1]=>[6,1,2,5,3,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,6,1,2,4]=>[4,1,2,5,6,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,6,1,4,2]=>[4,1,2,6,5,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,6,2,1,4]=>[5,1,2,4,6,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,6,2,4,1]=>[6,1,2,4,5,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,6,4,1,2]=>[5,1,2,6,4,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,6,4,2,1]=>[6,1,2,5,4,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,1,2,2,6]=>[3,1,4,5,2,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,2,6,2]=>[3,1,4,6,2,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,6,2,2]=>[3,1,5,6,2,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,2,1,2,6]=>[4,1,3,5,2,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,2,1,6,2]=>[4,1,3,6,2,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,2,2,1,6]=>[5,1,3,4,2,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,2,2,6,1]=>[6,1,3,4,2,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,2,6,1,2]=>[5,1,3,6,2,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,2,6,2,1]=>[6,1,3,5,2,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,6,1,2,2]=>[4,1,5,6,2,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,6,2,1,2]=>[5,1,4,6,2,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,6,2,2,1]=>[6,1,4,5,2,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,1,2,2,4]=>[3,1,4,5,6,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,2,4,2]=>[3,1,4,6,5,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,4,2,2]=>[3,1,5,6,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,2,1,2,4]=>[4,1,3,5,6,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,2,1,4,2]=>[4,1,3,6,5,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,2,2,1,4]=>[5,1,3,4,6,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,2,2,4,1]=>[6,1,3,4,5,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,2,4,1,2]=>[5,1,3,6,4,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,2,4,2,1]=>[6,1,3,5,4,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,4,1,2,2]=>[4,1,5,6,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,4,2,1,2]=>[5,1,4,6,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,4,2,2,1]=>[6,1,4,5,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[4,1,2,2,2,6]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,2,6,2]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,6,2,2]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,2,2,2]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,2,2,6]=>[3,2,4,5,1,6]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,2,6,2]=>[3,2,4,6,1,5]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,6,2,2]=>[3,2,5,6,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,2,1,2,6]=>[4,2,3,5,1,6]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,2,1,6,2]=>[4,2,3,6,1,5]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,2,2,1,6]=>[5,2,3,4,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,2,2,6,1]=>[6,2,3,4,1,5]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,2,6,1,2]=>[5,2,3,6,1,4]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,2,6,2,1]=>[6,2,3,5,1,4]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,6,1,2,2]=>[4,2,5,6,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,2,1,2]=>[5,2,4,6,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,6,2,2,1]=>[6,2,4,5,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,6,1,2,2,2]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,2,1,2,2]=>[4,3,5,6,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,2,2,1,2]=>[5,3,4,6,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,6,2,2,2,1]=>[6,3,4,5,1,2]=>[6,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,1,2,2,2,4]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,2,4,2]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,4,2,2]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,2,2,2]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,1,2,2,4]=>[3,2,4,5,6,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,2,4,2]=>[3,2,4,6,5,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,4,2,2]=>[3,2,5,6,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,2,1,2,4]=>[4,2,3,5,6,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,2,1,4,2]=>[4,2,3,6,5,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,2,2,1,4]=>[5,2,3,4,6,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,2,2,4,1]=>[6,2,3,4,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,2,4,1,2]=>[5,2,3,6,4,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,2,4,2,1]=>[6,2,3,5,4,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,1,2,2]=>[4,2,5,6,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,4,2,1,2]=>[5,2,4,6,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,4,2,2,1]=>[6,2,4,5,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,4,1,2,2,2]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,2,1,2,2]=>[4,3,5,6,2,1]=>[4,3,6,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,4,2,2,1,2]=>[5,3,4,6,2,1]=>[5,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,4,2,2,2,1]=>[6,3,4,5,2,1]=>[6,3,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,2,2,2,5,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,5,2,5]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,5,5,2]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,2,2,5]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,2,5,2]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,5,2,2]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,2,2,5]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,2,5,2]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,5,2,2]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,2,2,2]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,2,2,5,5]=>[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,5,2,5]=>[2,1,3,5,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,5,5,2]=>[2,1,3,6,4,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,2,2,5]=>[2,1,4,5,3,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,2,5,2]=>[2,1,4,6,3,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,5,2,2]=>[2,1,5,6,3,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,2,5,5]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,5,2,5]=>[3,1,2,5,4,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,5,5,2]=>[3,1,2,6,4,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,2,1,5,5]=>[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,2,5,1,5]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,2,5,5,1]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,5,1,2,5]=>[4,1,2,5,3,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,5,1,5,2]=>[4,1,2,6,3,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,5,2,1,5]=>[5,1,2,4,3,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,5,2,5,1]=>[6,1,2,4,3,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,5,5,1,2]=>[5,1,2,6,3,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,5,5,2,1]=>[6,1,2,5,3,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,1,2,2,5]=>[3,1,4,5,2,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,2,5,2]=>[3,1,4,6,2,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,5,2,2]=>[3,1,5,6,2,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,2,1,2,5]=>[4,1,3,5,2,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,2,1,5,2]=>[4,1,3,6,2,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,2,2,1,5]=>[5,1,3,4,2,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,2,2,5,1]=>[6,1,3,4,2,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,2,5,1,2]=>[5,1,3,6,2,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,2,5,2,1]=>[6,1,3,5,2,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,5,1,2,2]=>[4,1,5,6,2,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,5,2,1,2]=>[5,1,4,6,2,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,5,2,2,1]=>[6,1,4,5,2,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[5,1,2,2,2,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,2,5,2]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,5,2,2]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,2,2,2]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,2,2,5]=>[3,2,4,5,1,6]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,2,5,2]=>[3,2,4,6,1,5]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,5,2,2]=>[3,2,5,6,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,2,1,2,5]=>[4,2,3,5,1,6]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,2,1,5,2]=>[4,2,3,6,1,5]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,2,2,1,5]=>[5,2,3,4,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,2,2,5,1]=>[6,2,3,4,1,5]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,2,5,1,2]=>[5,2,3,6,1,4]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,2,5,2,1]=>[6,2,3,5,1,4]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,5,1,2,2]=>[4,2,5,6,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,5,2,1,2]=>[5,2,4,6,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,5,2,2,1]=>[6,2,4,5,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[5,5,1,2,2,2]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,2,1,2,2]=>[4,3,5,6,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,5,2,2,1,2]=>[5,3,4,6,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,5,2,2,2,1]=>[6,3,4,5,1,2]=>[6,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],.]
[1,2,2,2,5,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,2,6,5]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,5,2,6]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,5,6,2]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,6,2,5]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,6,5,2]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,2,2,6]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,2,6,2]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,6,2,2]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,2,2,5]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,2,5,2]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,5,2,2]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,2,2,6]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,2,6,2]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,6,2,2]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,6,2,2,2]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,2,2,5]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,2,5,2]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,5,2,2]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,5,2,2,2]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,2,2,5,6]=>[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,2,6,5]=>[2,1,3,4,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,5,2,6]=>[2,1,3,5,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,5,6,2]=>[2,1,3,6,4,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,6,2,5]=>[2,1,3,5,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,6,5,2]=>[2,1,3,6,5,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,2,2,6]=>[2,1,4,5,3,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,2,6,2]=>[2,1,4,6,3,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,6,2,2]=>[2,1,5,6,3,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,2,2,5]=>[2,1,4,5,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,2,5,2]=>[2,1,4,6,5,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,5,2,2]=>[2,1,5,6,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,2,5,6]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,2,6,5]=>[3,1,2,4,6,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,5,2,6]=>[3,1,2,5,4,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,5,6,2]=>[3,1,2,6,4,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,6,2,5]=>[3,1,2,5,6,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,6,5,2]=>[3,1,2,6,5,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,2,1,5,6]=>[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,2,1,6,5]=>[4,1,2,3,6,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,2,5,1,6]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,2,5,6,1]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,2,6,1,5]=>[5,1,2,3,6,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,2,6,5,1]=>[6,1,2,3,5,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,5,1,2,6]=>[4,1,2,5,3,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,5,1,6,2]=>[4,1,2,6,3,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,5,2,1,6]=>[5,1,2,4,3,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,5,2,6,1]=>[6,1,2,4,3,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,5,6,1,2]=>[5,1,2,6,3,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,5,6,2,1]=>[6,1,2,5,3,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,6,1,2,5]=>[4,1,2,5,6,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,6,1,5,2]=>[4,1,2,6,5,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,6,2,1,5]=>[5,1,2,4,6,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,6,2,5,1]=>[6,1,2,4,5,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,6,5,1,2]=>[5,1,2,6,4,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,6,5,2,1]=>[6,1,2,5,4,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,1,2,2,6]=>[3,1,4,5,2,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,2,6,2]=>[3,1,4,6,2,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,6,2,2]=>[3,1,5,6,2,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,2,1,2,6]=>[4,1,3,5,2,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,2,1,6,2]=>[4,1,3,6,2,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,2,2,1,6]=>[5,1,3,4,2,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,2,2,6,1]=>[6,1,3,4,2,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,2,6,1,2]=>[5,1,3,6,2,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,2,6,2,1]=>[6,1,3,5,2,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,6,1,2,2]=>[4,1,5,6,2,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,6,2,1,2]=>[5,1,4,6,2,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,6,2,2,1]=>[6,1,4,5,2,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,1,2,2,5]=>[3,1,4,5,6,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,2,5,2]=>[3,1,4,6,5,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,5,2,2]=>[3,1,5,6,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,2,1,2,5]=>[4,1,3,5,6,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,2,1,5,2]=>[4,1,3,6,5,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,2,2,1,5]=>[5,1,3,4,6,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,2,2,5,1]=>[6,1,3,4,5,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,2,5,1,2]=>[5,1,3,6,4,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,2,5,2,1]=>[6,1,3,5,4,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,5,1,2,2]=>[4,1,5,6,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,5,2,1,2]=>[5,1,4,6,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,5,2,2,1]=>[6,1,4,5,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[5,1,2,2,2,6]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,2,6,2]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,6,2,2]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,2,2,2]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,2,2,6]=>[3,2,4,5,1,6]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,2,6,2]=>[3,2,4,6,1,5]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,6,2,2]=>[3,2,5,6,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,2,1,2,6]=>[4,2,3,5,1,6]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,2,1,6,2]=>[4,2,3,6,1,5]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,2,2,1,6]=>[5,2,3,4,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,2,2,6,1]=>[6,2,3,4,1,5]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,2,6,1,2]=>[5,2,3,6,1,4]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,2,6,2,1]=>[6,2,3,5,1,4]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,6,1,2,2]=>[4,2,5,6,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,6,2,1,2]=>[5,2,4,6,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,2,2,1]=>[6,2,4,5,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[5,6,1,2,2,2]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,2,1,2,2]=>[4,3,5,6,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,2,2,1,2]=>[5,3,4,6,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,6,2,2,2,1]=>[6,3,4,5,1,2]=>[6,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],.]
[6,1,2,2,2,5]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,2,5,2]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,5,2,2]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,2,2,2]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,1,2,2,5]=>[3,2,4,5,6,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,2,5,2]=>[3,2,4,6,5,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,5,2,2]=>[3,2,5,6,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,2,1,2,5]=>[4,2,3,5,6,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,2,1,5,2]=>[4,2,3,6,5,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,2,2,1,5]=>[5,2,3,4,6,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,2,2,5,1]=>[6,2,3,4,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,2,5,1,2]=>[5,2,3,6,4,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,2,5,2,1]=>[6,2,3,5,4,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,1,2,2]=>[4,2,5,6,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,5,2,1,2]=>[5,2,4,6,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,5,2,2,1]=>[6,2,4,5,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,5,1,2,2,2]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,2,1,2,2]=>[4,3,5,6,2,1]=>[4,3,6,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,5,2,2,1,2]=>[5,3,4,6,2,1]=>[5,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,5,2,2,2,1]=>[6,3,4,5,2,1]=>[6,3,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,2,2,3,3,3]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,2,3,3]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,3,2,3]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,3,3,2]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,2,3,3]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,3,2,3]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,3,3,2]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,2,2,3]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,2,3,2]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,3,2,2]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,2,3,3,3]=>[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,2,3,3]=>[2,1,4,3,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,3,2,3]=>[2,1,5,3,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,3,3,2]=>[2,1,6,3,4,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,3,3,3]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,3,1,3,3]=>[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,3,3,1,3]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,3,3,3,1]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,1,2,3,3]=>[3,1,4,2,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,3,2,3]=>[3,1,5,2,4,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,3,3,2]=>[3,1,6,2,4,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,2,1,3,3]=>[4,1,3,2,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,2,3,1,3]=>[5,1,3,2,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,2,3,3,1]=>[6,1,3,2,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,3,1,2,3]=>[4,1,5,2,3,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,3,1,3,2]=>[4,1,6,2,3,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,3,2,1,3]=>[5,1,4,2,3,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,3,2,3,1]=>[6,1,4,2,3,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,3,3,1,2]=>[5,1,6,2,3,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,3,3,2,1]=>[6,1,5,2,3,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[3,1,2,2,3,3]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,3,2,3]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,3,3,2]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,2,2,3]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,2,3,2]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,3,2,2]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,2,3,3]=>[3,2,4,1,5,6]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,3,2,3]=>[3,2,5,1,4,6]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,3,3,2]=>[3,2,6,1,4,5]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,2,1,3,3]=>[4,2,3,1,5,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,2,3,1,3]=>[5,2,3,1,4,6]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,2,3,3,1]=>[6,2,3,1,4,5]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,3,1,2,3]=>[4,2,5,1,3,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,3,1,3,2]=>[4,2,6,1,3,5]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,3,2,1,3]=>[5,2,4,1,3,6]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,3,2,3,1]=>[6,2,4,1,3,5]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,3,3,1,2]=>[5,2,6,1,3,4]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,3,3,2,1]=>[6,2,5,1,3,4]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,3,1,2,2,3]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,2,3,2]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,3,2,2]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,2,1,2,3]=>[4,3,5,1,2,6]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,3,2,1,3,2]=>[4,3,6,1,2,5]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,3,2,2,1,3]=>[5,3,4,1,2,6]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,3,2,2,3,1]=>[6,3,4,1,2,5]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,3,2,3,1,2]=>[5,3,6,1,2,4]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,3,2,3,2,1]=>[6,3,5,1,2,4]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,3,3,1,2,2]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,3,2,1,2]=>[5,4,6,1,2,3]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[3,3,3,2,2,1]=>[6,4,5,1,2,3]=>[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[1,2,2,3,3,4]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,3,4,3]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,4,3,3]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,2,3,4]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,2,4,3]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,3,2,4]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,3,4,2]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,4,2,3]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,4,3,2]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,2,3,3]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,3,2,3]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,3,3,2]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,2,3,4]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,2,4,3]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,3,2,4]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,3,4,2]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,4,2,3]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,4,3,2]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,2,2,4]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,2,4,2]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,4,2,2]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,2,2,3]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,2,3,2]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,3,2,2]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,2,3,3]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,3,2,3]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,3,3,2]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,2,2,3]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,2,3,2]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,3,2,2]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,2,3,3,4]=>[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,3,4,3]=>[2,1,3,4,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,4,3,3]=>[2,1,3,5,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,2,3,4]=>[2,1,4,3,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,2,4,3]=>[2,1,4,3,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,3,2,4]=>[2,1,5,3,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,3,4,2]=>[2,1,6,3,4,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,4,2,3]=>[2,1,5,3,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,4,3,2]=>[2,1,6,3,5,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,2,3,3]=>[2,1,4,5,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,3,2,3]=>[2,1,5,4,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,3,3,2]=>[2,1,6,4,5,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,3,3,4]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,3,4,3]=>[3,1,2,4,6,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,4,3,3]=>[3,1,2,5,6,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,3,1,3,4]=>[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,3,1,4,3]=>[4,1,2,3,6,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,3,3,1,4]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,3,3,4,1]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,3,4,1,3]=>[5,1,2,3,6,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,3,4,3,1]=>[6,1,2,3,5,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,4,1,3,3]=>[4,1,2,5,6,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,4,3,1,3]=>[5,1,2,4,6,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,4,3,3,1]=>[6,1,2,4,5,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,1,2,3,4]=>[3,1,4,2,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,2,4,3]=>[3,1,4,2,6,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,3,2,4]=>[3,1,5,2,4,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,3,4,2]=>[3,1,6,2,4,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,4,2,3]=>[3,1,5,2,6,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,4,3,2]=>[3,1,6,2,5,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,2,1,3,4]=>[4,1,3,2,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,2,1,4,3]=>[4,1,3,2,6,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,2,3,1,4]=>[5,1,3,2,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,2,3,4,1]=>[6,1,3,2,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,2,4,1,3]=>[5,1,3,2,6,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,2,4,3,1]=>[6,1,3,2,5,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,3,1,2,4]=>[4,1,5,2,3,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,3,1,4,2]=>[4,1,6,2,3,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,3,2,1,4]=>[5,1,4,2,3,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,3,2,4,1]=>[6,1,4,2,3,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,3,4,1,2]=>[5,1,6,2,3,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,3,4,2,1]=>[6,1,5,2,3,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,4,1,2,3]=>[4,1,5,2,6,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,4,1,3,2]=>[4,1,6,2,5,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,4,2,1,3]=>[5,1,4,2,6,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,4,2,3,1]=>[6,1,4,2,5,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,4,3,1,2]=>[5,1,6,2,4,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,4,3,2,1]=>[6,1,5,2,4,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,1,2,3,3]=>[3,1,4,5,6,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,3,2,3]=>[3,1,5,4,6,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,3,3,2]=>[3,1,6,4,5,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,2,1,3,3]=>[4,1,3,5,6,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,2,3,1,3]=>[5,1,3,4,6,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,2,3,3,1]=>[6,1,3,4,5,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,3,1,2,3]=>[4,1,5,3,6,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,3,1,3,2]=>[4,1,6,3,5,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,3,2,1,3]=>[5,1,4,3,6,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,3,2,3,1]=>[6,1,4,3,5,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,3,3,1,2]=>[5,1,6,3,4,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,3,3,2,1]=>[6,1,5,3,4,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[3,1,2,2,3,4]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,2,4,3]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,3,2,4]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,3,4,2]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,4,2,3]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,4,3,2]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,2,2,4]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,2,4,2]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,4,2,2]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,2,2,3]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,2,3,2]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,3,2,2]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,2,3,4]=>[3,2,4,1,5,6]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,2,4,3]=>[3,2,4,1,6,5]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,3,2,4]=>[3,2,5,1,4,6]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,3,4,2]=>[3,2,6,1,4,5]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,4,2,3]=>[3,2,5,1,6,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,4,3,2]=>[3,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,2,1,3,4]=>[4,2,3,1,5,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,2,1,4,3]=>[4,2,3,1,6,5]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,2,3,1,4]=>[5,2,3,1,4,6]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,2,3,4,1]=>[6,2,3,1,4,5]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,2,4,1,3]=>[5,2,3,1,6,4]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,2,4,3,1]=>[6,2,3,1,5,4]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,3,1,2,4]=>[4,2,5,1,3,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,3,1,4,2]=>[4,2,6,1,3,5]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,3,2,1,4]=>[5,2,4,1,3,6]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,3,2,4,1]=>[6,2,4,1,3,5]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,3,4,1,2]=>[5,2,6,1,3,4]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,3,4,2,1]=>[6,2,5,1,3,4]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,4,1,2,3]=>[4,2,5,1,6,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,4,1,3,2]=>[4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,4,2,1,3]=>[5,2,4,1,6,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,4,2,3,1]=>[6,2,4,1,5,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,4,3,1,2]=>[5,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,4,3,2,1]=>[6,2,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,3,1,2,2,4]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,2,4,2]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,4,2,2]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,2,1,2,4]=>[4,3,5,1,2,6]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,3,2,1,4,2]=>[4,3,6,1,2,5]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,3,2,2,1,4]=>[5,3,4,1,2,6]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,3,2,2,4,1]=>[6,3,4,1,2,5]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,3,2,4,1,2]=>[5,3,6,1,2,4]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,3,2,4,2,1]=>[6,3,5,1,2,4]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,3,4,1,2,2]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,4,2,1,2]=>[5,4,6,1,2,3]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[3,3,4,2,2,1]=>[6,4,5,1,2,3]=>[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[3,4,1,2,2,3]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,2,3,2]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,3,2,2]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,2,1,2,3]=>[4,3,5,1,6,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,4,2,1,3,2]=>[4,3,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,4,2,2,1,3]=>[5,3,4,1,6,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,4,2,2,3,1]=>[6,3,4,1,5,2]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,4,2,3,1,2]=>[5,3,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,4,2,3,2,1]=>[6,3,5,1,4,2]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,4,3,1,2,2]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,3,2,1,2]=>[5,4,6,1,3,2]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[3,4,3,2,2,1]=>[6,4,5,1,3,2]=>[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[4,1,2,2,3,3]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,3,2,3]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,3,3,2]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,2,2,3]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,2,3,2]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,3,2,2]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,2,3,3]=>[3,2,4,5,6,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,3,2,3]=>[3,2,5,4,6,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,3,3,2]=>[3,2,6,4,5,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,2,1,3,3]=>[4,2,3,5,6,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,2,3,1,3]=>[5,2,3,4,6,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,2,3,3,1]=>[6,2,3,4,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,3,1,2,3]=>[4,2,5,3,6,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,1,3,2]=>[4,2,6,3,5,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,2,1,3]=>[5,2,4,3,6,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,3,2,3,1]=>[6,2,4,3,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,3,3,1,2]=>[5,2,6,3,4,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,3,3,2,1]=>[6,2,5,3,4,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[4,3,1,2,2,3]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,2,3,2]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,3,2,2]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,2,1,2,3]=>[4,3,5,2,6,1]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,1,3,2]=>[4,3,6,2,5,1]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,2,1,3]=>[5,3,4,2,6,1]=>[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[4,3,2,2,3,1]=>[6,3,4,2,5,1]=>[6,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[4,3,2,3,1,2]=>[5,3,6,2,4,1]=>[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[4,3,2,3,2,1]=>[6,3,5,2,4,1]=>[6,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[4,3,3,1,2,2]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,3,2,1,2]=>[5,4,6,2,3,1]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[4,3,3,2,2,1]=>[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,2,2,3,3,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,3,5,3]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,5,3,3]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,2,3,5]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,2,5,3]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,3,2,5]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,3,5,2]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,5,2,3]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,5,3,2]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,2,3,3]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,3,2,3]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,3,3,2]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,2,3,5]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,2,5,3]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,3,2,5]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,3,5,2]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,5,2,3]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,5,3,2]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,2,2,5]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,2,5,2]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,5,2,2]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,2,2,3]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,2,3,2]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,3,2,2]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,2,3,3]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,3,2,3]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,3,3,2]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,2,2,3]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,2,3,2]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,3,2,2]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,2,3,3,5]=>[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,3,5,3]=>[2,1,3,4,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,5,3,3]=>[2,1,3,5,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,2,3,5]=>[2,1,4,3,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,2,5,3]=>[2,1,4,3,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,3,2,5]=>[2,1,5,3,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,3,5,2]=>[2,1,6,3,4,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,5,2,3]=>[2,1,5,3,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,5,3,2]=>[2,1,6,3,5,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,2,3,3]=>[2,1,4,5,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,3,2,3]=>[2,1,5,4,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,3,3,2]=>[2,1,6,4,5,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,3,3,5]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,3,5,3]=>[3,1,2,4,6,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,5,3,3]=>[3,1,2,5,6,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,3,1,3,5]=>[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,3,1,5,3]=>[4,1,2,3,6,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,3,3,1,5]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,3,3,5,1]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,3,5,1,3]=>[5,1,2,3,6,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,3,5,3,1]=>[6,1,2,3,5,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,5,1,3,3]=>[4,1,2,5,6,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,5,3,1,3]=>[5,1,2,4,6,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,5,3,3,1]=>[6,1,2,4,5,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,1,2,3,5]=>[3,1,4,2,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,2,5,3]=>[3,1,4,2,6,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,3,2,5]=>[3,1,5,2,4,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,3,5,2]=>[3,1,6,2,4,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,5,2,3]=>[3,1,5,2,6,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,5,3,2]=>[3,1,6,2,5,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,2,1,3,5]=>[4,1,3,2,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,2,1,5,3]=>[4,1,3,2,6,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,2,3,1,5]=>[5,1,3,2,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,2,3,5,1]=>[6,1,3,2,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,2,5,1,3]=>[5,1,3,2,6,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,2,5,3,1]=>[6,1,3,2,5,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,3,1,2,5]=>[4,1,5,2,3,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,3,1,5,2]=>[4,1,6,2,3,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,3,2,1,5]=>[5,1,4,2,3,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,3,2,5,1]=>[6,1,4,2,3,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,3,5,1,2]=>[5,1,6,2,3,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,3,5,2,1]=>[6,1,5,2,3,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,5,1,2,3]=>[4,1,5,2,6,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,5,1,3,2]=>[4,1,6,2,5,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,5,2,1,3]=>[5,1,4,2,6,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,5,2,3,1]=>[6,1,4,2,5,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,5,3,1,2]=>[5,1,6,2,4,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,5,3,2,1]=>[6,1,5,2,4,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,1,2,3,3]=>[3,1,4,5,6,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,3,2,3]=>[3,1,5,4,6,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,3,3,2]=>[3,1,6,4,5,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,2,1,3,3]=>[4,1,3,5,6,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,2,3,1,3]=>[5,1,3,4,6,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,2,3,3,1]=>[6,1,3,4,5,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,3,1,2,3]=>[4,1,5,3,6,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,3,1,3,2]=>[4,1,6,3,5,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,3,2,1,3]=>[5,1,4,3,6,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,3,2,3,1]=>[6,1,4,3,5,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,3,3,1,2]=>[5,1,6,3,4,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,3,3,2,1]=>[6,1,5,3,4,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[3,1,2,2,3,5]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,2,5,3]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,3,2,5]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,3,5,2]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,5,2,3]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,5,3,2]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,2,2,5]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,2,5,2]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,5,2,2]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,2,2,3]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,2,3,2]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,3,2,2]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,2,3,5]=>[3,2,4,1,5,6]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,2,5,3]=>[3,2,4,1,6,5]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,3,2,5]=>[3,2,5,1,4,6]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,3,5,2]=>[3,2,6,1,4,5]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,5,2,3]=>[3,2,5,1,6,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,5,3,2]=>[3,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,2,1,3,5]=>[4,2,3,1,5,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,2,1,5,3]=>[4,2,3,1,6,5]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,2,3,1,5]=>[5,2,3,1,4,6]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,2,3,5,1]=>[6,2,3,1,4,5]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,2,5,1,3]=>[5,2,3,1,6,4]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,2,5,3,1]=>[6,2,3,1,5,4]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,3,1,2,5]=>[4,2,5,1,3,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,3,1,5,2]=>[4,2,6,1,3,5]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,3,2,1,5]=>[5,2,4,1,3,6]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,3,2,5,1]=>[6,2,4,1,3,5]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,3,5,1,2]=>[5,2,6,1,3,4]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,3,5,2,1]=>[6,2,5,1,3,4]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,5,1,2,3]=>[4,2,5,1,6,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,5,1,3,2]=>[4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,5,2,1,3]=>[5,2,4,1,6,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,5,2,3,1]=>[6,2,4,1,5,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,5,3,1,2]=>[5,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,5,3,2,1]=>[6,2,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,3,1,2,2,5]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,2,5,2]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,5,2,2]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,2,1,2,5]=>[4,3,5,1,2,6]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,3,2,1,5,2]=>[4,3,6,1,2,5]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,3,2,2,1,5]=>[5,3,4,1,2,6]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,3,2,2,5,1]=>[6,3,4,1,2,5]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,3,2,5,1,2]=>[5,3,6,1,2,4]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,3,2,5,2,1]=>[6,3,5,1,2,4]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,3,5,1,2,2]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,5,2,1,2]=>[5,4,6,1,2,3]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[3,3,5,2,2,1]=>[6,4,5,1,2,3]=>[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[3,5,1,2,2,3]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,2,3,2]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,3,2,2]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,2,1,2,3]=>[4,3,5,1,6,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,5,2,1,3,2]=>[4,3,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,5,2,2,1,3]=>[5,3,4,1,6,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,5,2,2,3,1]=>[6,3,4,1,5,2]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,5,2,3,1,2]=>[5,3,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,5,2,3,2,1]=>[6,3,5,1,4,2]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,5,3,1,2,2]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,3,2,1,2]=>[5,4,6,1,3,2]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[3,5,3,2,2,1]=>[6,4,5,1,3,2]=>[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[5,1,2,2,3,3]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,3,2,3]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,3,3,2]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,2,2,3]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,2,3,2]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,3,2,2]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,2,3,3]=>[3,2,4,5,6,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,3,2,3]=>[3,2,5,4,6,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,3,3,2]=>[3,2,6,4,5,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,2,1,3,3]=>[4,2,3,5,6,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,2,3,1,3]=>[5,2,3,4,6,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,2,3,3,1]=>[6,2,3,4,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,3,1,2,3]=>[4,2,5,3,6,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,3,1,3,2]=>[4,2,6,3,5,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,3,2,1,3]=>[5,2,4,3,6,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,2,3,1]=>[6,2,4,3,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,3,3,1,2]=>[5,2,6,3,4,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,3,2,1]=>[6,2,5,3,4,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,3,1,2,2,3]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,2,3,2]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,3,2,2]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,2,1,2,3]=>[4,3,5,2,6,1]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[5,3,2,1,3,2]=>[4,3,6,2,5,1]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[5,3,2,2,1,3]=>[5,3,4,2,6,1]=>[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,2,3,1]=>[6,3,4,2,5,1]=>[6,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[5,3,2,3,1,2]=>[5,3,6,2,4,1]=>[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,3,2,1]=>[6,3,5,2,4,1]=>[6,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[5,3,3,1,2,2]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,3,2,1,2]=>[5,4,6,2,3,1]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[5,3,3,2,2,1]=>[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,2,2,3,3,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,3,6,3]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,6,3,3]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,2,3,6]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,2,6,3]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,3,2,6]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,3,6,2]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,6,2,3]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,6,3,2]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,2,3,3]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,3,2,3]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,3,3,2]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,2,3,6]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,2,6,3]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,3,2,6]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,3,6,2]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,6,2,3]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,6,3,2]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,2,2,6]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,2,6,2]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,6,2,2]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,2,2,3]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,2,3,2]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,3,2,2]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,2,3,3]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,3,2,3]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,3,3,2]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,2,2,3]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,2,3,2]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,3,2,2]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,2,3,3,6]=>[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,3,6,3]=>[2,1,3,4,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,6,3,3]=>[2,1,3,5,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,2,3,6]=>[2,1,4,3,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,2,6,3]=>[2,1,4,3,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,3,2,6]=>[2,1,5,3,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,3,6,2]=>[2,1,6,3,4,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,6,2,3]=>[2,1,5,3,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,6,3,2]=>[2,1,6,3,5,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,2,3,3]=>[2,1,4,5,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,3,2,3]=>[2,1,5,4,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,3,3,2]=>[2,1,6,4,5,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,3,3,6]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,3,6,3]=>[3,1,2,4,6,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,6,3,3]=>[3,1,2,5,6,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,3,1,3,6]=>[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,3,1,6,3]=>[4,1,2,3,6,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,3,3,1,6]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,3,3,6,1]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,3,6,1,3]=>[5,1,2,3,6,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,3,6,3,1]=>[6,1,2,3,5,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,6,1,3,3]=>[4,1,2,5,6,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,6,3,1,3]=>[5,1,2,4,6,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,6,3,3,1]=>[6,1,2,4,5,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,1,2,3,6]=>[3,1,4,2,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,2,6,3]=>[3,1,4,2,6,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,3,2,6]=>[3,1,5,2,4,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,3,6,2]=>[3,1,6,2,4,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,6,2,3]=>[3,1,5,2,6,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,6,3,2]=>[3,1,6,2,5,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,2,1,3,6]=>[4,1,3,2,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,2,1,6,3]=>[4,1,3,2,6,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,2,3,1,6]=>[5,1,3,2,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,2,3,6,1]=>[6,1,3,2,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,2,6,1,3]=>[5,1,3,2,6,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,2,6,3,1]=>[6,1,3,2,5,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,3,1,2,6]=>[4,1,5,2,3,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,3,1,6,2]=>[4,1,6,2,3,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,3,2,1,6]=>[5,1,4,2,3,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,3,2,6,1]=>[6,1,4,2,3,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,3,6,1,2]=>[5,1,6,2,3,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,3,6,2,1]=>[6,1,5,2,3,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,6,1,2,3]=>[4,1,5,2,6,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,6,1,3,2]=>[4,1,6,2,5,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,6,2,1,3]=>[5,1,4,2,6,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,6,2,3,1]=>[6,1,4,2,5,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,6,3,1,2]=>[5,1,6,2,4,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,6,3,2,1]=>[6,1,5,2,4,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,1,2,3,3]=>[3,1,4,5,6,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,3,2,3]=>[3,1,5,4,6,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,3,3,2]=>[3,1,6,4,5,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,2,1,3,3]=>[4,1,3,5,6,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,2,3,1,3]=>[5,1,3,4,6,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,2,3,3,1]=>[6,1,3,4,5,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,3,1,2,3]=>[4,1,5,3,6,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,3,1,3,2]=>[4,1,6,3,5,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,3,2,1,3]=>[5,1,4,3,6,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,3,2,3,1]=>[6,1,4,3,5,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,3,3,1,2]=>[5,1,6,3,4,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,3,3,2,1]=>[6,1,5,3,4,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[3,1,2,2,3,6]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,2,6,3]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,3,2,6]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,3,6,2]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,6,2,3]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,6,3,2]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,2,2,6]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,2,6,2]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,6,2,2]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,2,2,3]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,2,3,2]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,3,2,2]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,2,3,6]=>[3,2,4,1,5,6]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,2,6,3]=>[3,2,4,1,6,5]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,3,2,6]=>[3,2,5,1,4,6]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,3,6,2]=>[3,2,6,1,4,5]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,6,2,3]=>[3,2,5,1,6,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,6,3,2]=>[3,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,2,1,3,6]=>[4,2,3,1,5,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,2,1,6,3]=>[4,2,3,1,6,5]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,2,3,1,6]=>[5,2,3,1,4,6]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,2,3,6,1]=>[6,2,3,1,4,5]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,2,6,1,3]=>[5,2,3,1,6,4]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,2,6,3,1]=>[6,2,3,1,5,4]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,3,1,2,6]=>[4,2,5,1,3,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,3,1,6,2]=>[4,2,6,1,3,5]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,3,2,1,6]=>[5,2,4,1,3,6]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,3,2,6,1]=>[6,2,4,1,3,5]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,3,6,1,2]=>[5,2,6,1,3,4]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,3,6,2,1]=>[6,2,5,1,3,4]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,6,1,2,3]=>[4,2,5,1,6,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,6,1,3,2]=>[4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,6,2,1,3]=>[5,2,4,1,6,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,6,2,3,1]=>[6,2,4,1,5,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,6,3,1,2]=>[5,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,6,3,2,1]=>[6,2,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,3,1,2,2,6]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,2,6,2]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,6,2,2]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,2,1,2,6]=>[4,3,5,1,2,6]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,3,2,1,6,2]=>[4,3,6,1,2,5]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,3,2,2,1,6]=>[5,3,4,1,2,6]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,3,2,2,6,1]=>[6,3,4,1,2,5]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,3,2,6,1,2]=>[5,3,6,1,2,4]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,3,2,6,2,1]=>[6,3,5,1,2,4]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,3,6,1,2,2]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,6,2,1,2]=>[5,4,6,1,2,3]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[3,3,6,2,2,1]=>[6,4,5,1,2,3]=>[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[3,6,1,2,2,3]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,2,3,2]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,3,2,2]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,2,1,2,3]=>[4,3,5,1,6,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,6,2,1,3,2]=>[4,3,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,6,2,2,1,3]=>[5,3,4,1,6,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,6,2,2,3,1]=>[6,3,4,1,5,2]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,6,2,3,1,2]=>[5,3,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,6,2,3,2,1]=>[6,3,5,1,4,2]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,6,3,1,2,2]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,3,2,1,2]=>[5,4,6,1,3,2]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[3,6,3,2,2,1]=>[6,4,5,1,3,2]=>[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[6,1,2,2,3,3]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,3,2,3]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,3,3,2]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,2,2,3]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,2,3,2]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,3,2,2]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,1,2,3,3]=>[3,2,4,5,6,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,3,2,3]=>[3,2,5,4,6,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,3,3,2]=>[3,2,6,4,5,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,2,1,3,3]=>[4,2,3,5,6,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,2,3,1,3]=>[5,2,3,4,6,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,2,3,3,1]=>[6,2,3,4,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,3,1,2,3]=>[4,2,5,3,6,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,3,1,3,2]=>[4,2,6,3,5,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,3,2,1,3]=>[5,2,4,3,6,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,3,2,3,1]=>[6,2,4,3,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,3,3,1,2]=>[5,2,6,3,4,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,3,3,2,1]=>[6,2,5,3,4,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,3,1,2,2,3]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,2,3,2]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,3,2,2]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,2,1,2,3]=>[4,3,5,2,6,1]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,3,2,1,3,2]=>[4,3,6,2,5,1]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,3,2,2,1,3]=>[5,3,4,2,6,1]=>[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,3,2,2,3,1]=>[6,3,4,2,5,1]=>[6,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,3,2,3,1,2]=>[5,3,6,2,4,1]=>[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,3,2,3,2,1]=>[6,3,5,2,4,1]=>[6,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,3,3,1,2,2]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,3,3,2,1,2]=>[5,4,6,2,3,1]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[6,3,3,2,2,1]=>[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,2,2,3,4,4]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,4,3,4]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,4,4,3]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,2,4,4]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,4,2,4]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,4,4,2]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,2,3,4]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,2,4,3]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,3,2,4]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,3,4,2]=>[1,2,6,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,4,2,3]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,4,3,2]=>[1,2,6,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,2,4,4]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,4,2,4]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,4,4,2]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,2,2,4]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,2,4,2]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,4,2,2]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,2,3,4]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,2,4,3]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,3,2,4]=>[1,3,5,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,3,4,2]=>[1,3,6,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,4,2,3]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,4,3,2]=>[1,3,6,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,2,2,4]=>[1,4,5,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,2,4,2]=>[1,4,6,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,4,2,2]=>[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,2,2,3]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,2,3,2]=>[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,3,2,2]=>[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,2,3,4,4]=>[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,4,3,4]=>[2,1,3,5,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,4,4,3]=>[2,1,3,6,4,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,2,4,4]=>[2,1,4,3,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,4,2,4]=>[2,1,5,3,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,4,4,2]=>[2,1,6,3,4,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,2,3,4]=>[2,1,4,5,3,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,2,4,3]=>[2,1,4,6,3,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,3,2,4]=>[2,1,5,4,3,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,3,4,2]=>[2,1,6,4,3,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,4,2,3]=>[2,1,5,6,3,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,4,3,2]=>[2,1,6,5,3,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,3,4,4]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,4,3,4]=>[3,1,2,5,4,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,4,4,3]=>[3,1,2,6,4,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,3,1,4,4]=>[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,3,4,1,4]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,3,4,4,1]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,4,1,3,4]=>[4,1,2,5,3,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,4,1,4,3]=>[4,1,2,6,3,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,4,3,1,4]=>[5,1,2,4,3,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,4,3,4,1]=>[6,1,2,4,3,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,4,4,1,3]=>[5,1,2,6,3,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,4,4,3,1]=>[6,1,2,5,3,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,1,2,4,4]=>[3,1,4,2,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,4,2,4]=>[3,1,5,2,4,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,4,4,2]=>[3,1,6,2,4,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,2,1,4,4]=>[4,1,3,2,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,2,4,1,4]=>[5,1,3,2,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,2,4,4,1]=>[6,1,3,2,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,4,1,2,4]=>[4,1,5,2,3,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,4,1,4,2]=>[4,1,6,2,3,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,4,2,1,4]=>[5,1,4,2,3,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,4,2,4,1]=>[6,1,4,2,3,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,4,4,1,2]=>[5,1,6,2,3,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,4,4,2,1]=>[6,1,5,2,3,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,1,2,3,4]=>[3,1,4,5,2,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,2,4,3]=>[3,1,4,6,2,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,3,2,4]=>[3,1,5,4,2,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,3,4,2]=>[3,1,6,4,2,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,4,2,3]=>[3,1,5,6,2,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,4,3,2]=>[3,1,6,5,2,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,2,1,3,4]=>[4,1,3,5,2,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,2,1,4,3]=>[4,1,3,6,2,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,2,3,1,4]=>[5,1,3,4,2,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,2,3,4,1]=>[6,1,3,4,2,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,2,4,1,3]=>[5,1,3,6,2,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,2,4,3,1]=>[6,1,3,5,2,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,3,1,2,4]=>[4,1,5,3,2,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,3,1,4,2]=>[4,1,6,3,2,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,3,2,1,4]=>[5,1,4,3,2,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,3,2,4,1]=>[6,1,4,3,2,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,3,4,1,2]=>[5,1,6,3,2,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,3,4,2,1]=>[6,1,5,3,2,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,4,1,2,3]=>[4,1,5,6,2,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,4,1,3,2]=>[4,1,6,5,2,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,4,2,1,3]=>[5,1,4,6,2,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,4,2,3,1]=>[6,1,4,5,2,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,4,3,1,2]=>[5,1,6,4,2,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,4,3,2,1]=>[6,1,5,4,2,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[3,1,2,2,4,4]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,4,2,4]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,4,4,2]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,2,2,4]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,2,4,2]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,4,2,2]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,2,4,4]=>[3,2,4,1,5,6]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,4,2,4]=>[3,2,5,1,4,6]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,4,4,2]=>[3,2,6,1,4,5]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,2,1,4,4]=>[4,2,3,1,5,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,2,4,1,4]=>[5,2,3,1,4,6]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,2,4,4,1]=>[6,2,3,1,4,5]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,4,1,2,4]=>[4,2,5,1,3,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,4,1,4,2]=>[4,2,6,1,3,5]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,4,2,1,4]=>[5,2,4,1,3,6]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,4,2,4,1]=>[6,2,4,1,3,5]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,4,4,1,2]=>[5,2,6,1,3,4]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,4,4,2,1]=>[6,2,5,1,3,4]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,4,1,2,2,4]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,2,4,2]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,4,2,2]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,2,1,2,4]=>[4,3,5,1,2,6]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,4,2,1,4,2]=>[4,3,6,1,2,5]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,4,2,2,1,4]=>[5,3,4,1,2,6]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,4,2,2,4,1]=>[6,3,4,1,2,5]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,4,2,4,1,2]=>[5,3,6,1,2,4]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,4,2,4,2,1]=>[6,3,5,1,2,4]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,4,4,1,2,2]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,4,2,1,2]=>[5,4,6,1,2,3]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[3,4,4,2,2,1]=>[6,4,5,1,2,3]=>[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[4,1,2,2,3,4]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,2,4,3]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,3,2,4]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,3,4,2]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,4,2,3]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,4,3,2]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,2,2,4]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,2,4,2]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,4,2,2]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,2,2,3]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,2,3,2]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,3,2,2]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,2,3,4]=>[3,2,4,5,1,6]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,2,4,3]=>[3,2,4,6,1,5]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,3,2,4]=>[3,2,5,4,1,6]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,3,4,2]=>[3,2,6,4,1,5]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,4,2,3]=>[3,2,5,6,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,4,3,2]=>[3,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,2,1,3,4]=>[4,2,3,5,1,6]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,2,1,4,3]=>[4,2,3,6,1,5]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,2,3,1,4]=>[5,2,3,4,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,2,3,4,1]=>[6,2,3,4,1,5]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,2,4,1,3]=>[5,2,3,6,1,4]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,2,4,3,1]=>[6,2,3,5,1,4]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,3,1,2,4]=>[4,2,5,3,1,6]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,1,4,2]=>[4,2,6,3,1,5]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,2,1,4]=>[5,2,4,3,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,3,2,4,1]=>[6,2,4,3,1,5]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,3,4,1,2]=>[5,2,6,3,1,4]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,3,4,2,1]=>[6,2,5,3,1,4]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,4,1,2,3]=>[4,2,5,6,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,4,1,3,2]=>[4,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,4,2,1,3]=>[5,2,4,6,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,4,2,3,1]=>[6,2,4,5,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,4,3,1,2]=>[5,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,4,3,2,1]=>[6,2,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,3,1,2,2,4]=>[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,2,4,2]=>[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,4,2,2]=>[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,2,1,2,4]=>[4,3,5,2,1,6]=>[4,3,6,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,1,4,2]=>[4,3,6,2,1,5]=>[4,3,6,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,2,1,4]=>[5,3,4,2,1,6]=>[5,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,3,2,2,4,1]=>[6,3,4,2,1,5]=>[6,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],.]
[4,3,2,4,1,2]=>[5,3,6,2,1,4]=>[5,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,3,2,4,2,1]=>[6,3,5,2,1,4]=>[6,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],.]
[4,3,4,1,2,2]=>[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,4,2,1,2]=>[5,4,6,2,1,3]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[4,3,4,2,2,1]=>[6,4,5,2,1,3]=>[6,4,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],.]
[4,4,1,2,2,3]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,2,3,2]=>[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,3,2,2]=>[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,2,1,2,3]=>[4,3,5,6,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,4,2,1,3,2]=>[4,3,6,5,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,4,2,2,1,3]=>[5,3,4,6,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,4,2,2,3,1]=>[6,3,4,5,1,2]=>[6,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],.]
[4,4,2,3,1,2]=>[5,3,6,4,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,4,2,3,2,1]=>[6,3,5,4,1,2]=>[6,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],.]
[4,4,3,1,2,2]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,4,3,2,1,2]=>[5,4,6,3,1,2]=>[5,4,6,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[4,4,3,2,2,1]=>[6,4,5,3,1,2]=>[6,4,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],.]
[1,2,2,3,4,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,3,5,4]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,4,3,5]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,4,5,3]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,5,3,4]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,5,4,3]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,2,4,5]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,2,5,4]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,4,2,5]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,4,5,2]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,5,2,4]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,5,4,2]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,2,3,5]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,2,5,3]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,3,2,5]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,3,5,2]=>[1,2,6,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,5,2,3]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,5,3,2]=>[1,2,6,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,2,3,4]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,2,4,3]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,3,2,4]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,3,4,2]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,4,2,3]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,4,3,2]=>[1,2,6,5,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,2,4,5]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,2,5,4]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,4,2,5]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,4,5,2]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,5,2,4]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,5,4,2]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,2,2,5]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,2,5,2]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,5,2,2]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,2,2,4]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,2,4,2]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,4,2,2]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,2,3,5]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,2,5,3]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,3,2,5]=>[1,3,5,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,3,5,2]=>[1,3,6,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,5,2,3]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,5,3,2]=>[1,3,6,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,2,2,5]=>[1,4,5,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,2,5,2]=>[1,4,6,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,5,2,2]=>[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,2,2,3]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,2,3,2]=>[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,3,2,2]=>[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,2,3,4]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,2,4,3]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,3,2,4]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,3,4,2]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,4,2,3]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,4,3,2]=>[1,3,6,5,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,2,2,4]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,2,4,2]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,4,2,2]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,2,2,3]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,2,3,2]=>[1,4,6,5,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,3,2,2]=>[1,5,6,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,2,3,4,5]=>[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,3,5,4]=>[2,1,3,4,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,4,3,5]=>[2,1,3,5,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,4,5,3]=>[2,1,3,6,4,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,5,3,4]=>[2,1,3,5,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,5,4,3]=>[2,1,3,6,5,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,2,4,5]=>[2,1,4,3,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,2,5,4]=>[2,1,4,3,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,4,2,5]=>[2,1,5,3,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,4,5,2]=>[2,1,6,3,4,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,5,2,4]=>[2,1,5,3,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,5,4,2]=>[2,1,6,3,5,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,2,3,5]=>[2,1,4,5,3,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,2,5,3]=>[2,1,4,6,3,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,3,2,5]=>[2,1,5,4,3,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,3,5,2]=>[2,1,6,4,3,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,5,2,3]=>[2,1,5,6,3,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,5,3,2]=>[2,1,6,5,3,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,2,3,4]=>[2,1,4,5,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,2,4,3]=>[2,1,4,6,5,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,3,2,4]=>[2,1,5,4,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,3,4,2]=>[2,1,6,4,5,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,4,2,3]=>[2,1,5,6,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,4,3,2]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,3,4,5]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,3,5,4]=>[3,1,2,4,6,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,4,3,5]=>[3,1,2,5,4,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,4,5,3]=>[3,1,2,6,4,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,5,3,4]=>[3,1,2,5,6,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,5,4,3]=>[3,1,2,6,5,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,3,1,4,5]=>[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,3,1,5,4]=>[4,1,2,3,6,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,3,4,1,5]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,3,4,5,1]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,3,5,1,4]=>[5,1,2,3,6,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,3,5,4,1]=>[6,1,2,3,5,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,4,1,3,5]=>[4,1,2,5,3,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,4,1,5,3]=>[4,1,2,6,3,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,4,3,1,5]=>[5,1,2,4,3,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,4,3,5,1]=>[6,1,2,4,3,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,4,5,1,3]=>[5,1,2,6,3,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,4,5,3,1]=>[6,1,2,5,3,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,5,1,3,4]=>[4,1,2,5,6,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,5,1,4,3]=>[4,1,2,6,5,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,5,3,1,4]=>[5,1,2,4,6,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,5,3,4,1]=>[6,1,2,4,5,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,5,4,1,3]=>[5,1,2,6,4,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,5,4,3,1]=>[6,1,2,5,4,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,1,2,4,5]=>[3,1,4,2,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,2,5,4]=>[3,1,4,2,6,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,4,2,5]=>[3,1,5,2,4,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,4,5,2]=>[3,1,6,2,4,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,5,2,4]=>[3,1,5,2,6,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,5,4,2]=>[3,1,6,2,5,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,2,1,4,5]=>[4,1,3,2,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,2,1,5,4]=>[4,1,3,2,6,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,2,4,1,5]=>[5,1,3,2,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,2,4,5,1]=>[6,1,3,2,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,2,5,1,4]=>[5,1,3,2,6,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,2,5,4,1]=>[6,1,3,2,5,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,4,1,2,5]=>[4,1,5,2,3,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,4,1,5,2]=>[4,1,6,2,3,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,4,2,1,5]=>[5,1,4,2,3,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,4,2,5,1]=>[6,1,4,2,3,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,4,5,1,2]=>[5,1,6,2,3,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,4,5,2,1]=>[6,1,5,2,3,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,5,1,2,4]=>[4,1,5,2,6,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,5,1,4,2]=>[4,1,6,2,5,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,5,2,1,4]=>[5,1,4,2,6,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,5,2,4,1]=>[6,1,4,2,5,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,5,4,1,2]=>[5,1,6,2,4,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,5,4,2,1]=>[6,1,5,2,4,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,1,2,3,5]=>[3,1,4,5,2,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,2,5,3]=>[3,1,4,6,2,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,3,2,5]=>[3,1,5,4,2,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,3,5,2]=>[3,1,6,4,2,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,5,2,3]=>[3,1,5,6,2,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,5,3,2]=>[3,1,6,5,2,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,2,1,3,5]=>[4,1,3,5,2,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,2,1,5,3]=>[4,1,3,6,2,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,2,3,1,5]=>[5,1,3,4,2,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,2,3,5,1]=>[6,1,3,4,2,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,2,5,1,3]=>[5,1,3,6,2,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,2,5,3,1]=>[6,1,3,5,2,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,3,1,2,5]=>[4,1,5,3,2,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,3,1,5,2]=>[4,1,6,3,2,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,3,2,1,5]=>[5,1,4,3,2,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,3,2,5,1]=>[6,1,4,3,2,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,3,5,1,2]=>[5,1,6,3,2,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,3,5,2,1]=>[6,1,5,3,2,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,5,1,2,3]=>[4,1,5,6,2,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,5,1,3,2]=>[4,1,6,5,2,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,5,2,1,3]=>[5,1,4,6,2,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,5,2,3,1]=>[6,1,4,5,2,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,5,3,1,2]=>[5,1,6,4,2,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,5,3,2,1]=>[6,1,5,4,2,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,1,2,3,4]=>[3,1,4,5,6,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,2,4,3]=>[3,1,4,6,5,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,3,2,4]=>[3,1,5,4,6,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,3,4,2]=>[3,1,6,4,5,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,4,2,3]=>[3,1,5,6,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,4,3,2]=>[3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,2,1,3,4]=>[4,1,3,5,6,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,2,1,4,3]=>[4,1,3,6,5,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,2,3,1,4]=>[5,1,3,4,6,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,2,3,4,1]=>[6,1,3,4,5,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,2,4,1,3]=>[5,1,3,6,4,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,2,4,3,1]=>[6,1,3,5,4,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,3,1,2,4]=>[4,1,5,3,6,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,3,1,4,2]=>[4,1,6,3,5,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,3,2,1,4]=>[5,1,4,3,6,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,3,2,4,1]=>[6,1,4,3,5,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,3,4,1,2]=>[5,1,6,3,4,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,3,4,2,1]=>[6,1,5,3,4,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,4,1,2,3]=>[4,1,5,6,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,4,1,3,2]=>[4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,4,2,1,3]=>[5,1,4,6,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,4,2,3,1]=>[6,1,4,5,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,4,3,1,2]=>[5,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,4,3,2,1]=>[6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[3,1,2,2,4,5]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,2,5,4]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,4,2,5]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,4,5,2]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,5,2,4]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,5,4,2]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,2,2,5]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,2,5,2]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,5,2,2]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,2,2,4]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,2,4,2]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,4,2,2]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,2,4,5]=>[3,2,4,1,5,6]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,2,5,4]=>[3,2,4,1,6,5]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,4,2,5]=>[3,2,5,1,4,6]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,4,5,2]=>[3,2,6,1,4,5]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,5,2,4]=>[3,2,5,1,6,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,5,4,2]=>[3,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,2,1,4,5]=>[4,2,3,1,5,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,2,1,5,4]=>[4,2,3,1,6,5]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,2,4,1,5]=>[5,2,3,1,4,6]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,2,4,5,1]=>[6,2,3,1,4,5]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,2,5,1,4]=>[5,2,3,1,6,4]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,2,5,4,1]=>[6,2,3,1,5,4]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,4,1,2,5]=>[4,2,5,1,3,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,4,1,5,2]=>[4,2,6,1,3,5]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,4,2,1,5]=>[5,2,4,1,3,6]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,4,2,5,1]=>[6,2,4,1,3,5]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,4,5,1,2]=>[5,2,6,1,3,4]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,4,5,2,1]=>[6,2,5,1,3,4]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,5,1,2,4]=>[4,2,5,1,6,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,5,1,4,2]=>[4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,5,2,1,4]=>[5,2,4,1,6,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,5,2,4,1]=>[6,2,4,1,5,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,5,4,1,2]=>[5,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,5,4,2,1]=>[6,2,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,4,1,2,2,5]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,2,5,2]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,5,2,2]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,2,1,2,5]=>[4,3,5,1,2,6]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,4,2,1,5,2]=>[4,3,6,1,2,5]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,4,2,2,1,5]=>[5,3,4,1,2,6]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,4,2,2,5,1]=>[6,3,4,1,2,5]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,4,2,5,1,2]=>[5,3,6,1,2,4]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,4,2,5,2,1]=>[6,3,5,1,2,4]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,4,5,1,2,2]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,5,2,1,2]=>[5,4,6,1,2,3]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[3,4,5,2,2,1]=>[6,4,5,1,2,3]=>[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[3,5,1,2,2,4]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,2,4,2]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,4,2,2]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,2,1,2,4]=>[4,3,5,1,6,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,5,2,1,4,2]=>[4,3,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,5,2,2,1,4]=>[5,3,4,1,6,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,5,2,2,4,1]=>[6,3,4,1,5,2]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,5,2,4,1,2]=>[5,3,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,5,2,4,2,1]=>[6,3,5,1,4,2]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,5,4,1,2,2]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,4,2,1,2]=>[5,4,6,1,3,2]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[3,5,4,2,2,1]=>[6,4,5,1,3,2]=>[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[4,1,2,2,3,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,2,5,3]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,3,2,5]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,3,5,2]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,5,2,3]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,5,3,2]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,2,2,5]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,2,5,2]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,5,2,2]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,2,2,3]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,2,3,2]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,3,2,2]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,2,3,5]=>[3,2,4,5,1,6]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,2,5,3]=>[3,2,4,6,1,5]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,3,2,5]=>[3,2,5,4,1,6]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,3,5,2]=>[3,2,6,4,1,5]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,5,2,3]=>[3,2,5,6,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,5,3,2]=>[3,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,2,1,3,5]=>[4,2,3,5,1,6]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,2,1,5,3]=>[4,2,3,6,1,5]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,2,3,1,5]=>[5,2,3,4,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,2,3,5,1]=>[6,2,3,4,1,5]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,2,5,1,3]=>[5,2,3,6,1,4]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,2,5,3,1]=>[6,2,3,5,1,4]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,3,1,2,5]=>[4,2,5,3,1,6]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,1,5,2]=>[4,2,6,3,1,5]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,2,1,5]=>[5,2,4,3,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,3,2,5,1]=>[6,2,4,3,1,5]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,3,5,1,2]=>[5,2,6,3,1,4]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,3,5,2,1]=>[6,2,5,3,1,4]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,5,1,2,3]=>[4,2,5,6,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,1,3,2]=>[4,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,2,1,3]=>[5,2,4,6,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,5,2,3,1]=>[6,2,4,5,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,5,3,1,2]=>[5,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,5,3,2,1]=>[6,2,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,3,1,2,2,5]=>[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,2,5,2]=>[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,5,2,2]=>[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,2,1,2,5]=>[4,3,5,2,1,6]=>[4,3,6,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,1,5,2]=>[4,3,6,2,1,5]=>[4,3,6,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,2,1,5]=>[5,3,4,2,1,6]=>[5,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,3,2,2,5,1]=>[6,3,4,2,1,5]=>[6,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],.]
[4,3,2,5,1,2]=>[5,3,6,2,1,4]=>[5,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,3,2,5,2,1]=>[6,3,5,2,1,4]=>[6,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],.]
[4,3,5,1,2,2]=>[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,5,2,1,2]=>[5,4,6,2,1,3]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[4,3,5,2,2,1]=>[6,4,5,2,1,3]=>[6,4,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],.]
[4,5,1,2,2,3]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,2,3,2]=>[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,3,2,2]=>[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,2,1,2,3]=>[4,3,5,6,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,2,1,3,2]=>[4,3,6,5,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,2,2,1,3]=>[5,3,4,6,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,5,2,2,3,1]=>[6,3,4,5,1,2]=>[6,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],.]
[4,5,2,3,1,2]=>[5,3,6,4,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,5,2,3,2,1]=>[6,3,5,4,1,2]=>[6,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],.]
[4,5,3,1,2,2]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,3,2,1,2]=>[5,4,6,3,1,2]=>[5,4,6,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[4,5,3,2,2,1]=>[6,4,5,3,1,2]=>[6,4,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],.]
[5,1,2,2,3,4]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,2,4,3]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,3,2,4]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,3,4,2]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,4,2,3]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,4,3,2]=>[2,3,6,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,2,2,4]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,2,4,2]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,4,2,2]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,2,2,3]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,2,3,2]=>[2,4,6,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,3,2,2]=>[2,5,6,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,2,3,4]=>[3,2,4,5,6,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,2,4,3]=>[3,2,4,6,5,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,3,2,4]=>[3,2,5,4,6,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,3,4,2]=>[3,2,6,4,5,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,4,2,3]=>[3,2,5,6,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,4,3,2]=>[3,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,2,1,3,4]=>[4,2,3,5,6,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,2,1,4,3]=>[4,2,3,6,5,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,2,3,1,4]=>[5,2,3,4,6,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,2,3,4,1]=>[6,2,3,4,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,2,4,1,3]=>[5,2,3,6,4,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,2,4,3,1]=>[6,2,3,5,4,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,3,1,2,4]=>[4,2,5,3,6,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,3,1,4,2]=>[4,2,6,3,5,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,3,2,1,4]=>[5,2,4,3,6,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,2,4,1]=>[6,2,4,3,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,3,4,1,2]=>[5,2,6,3,4,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,4,2,1]=>[6,2,5,3,4,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,4,1,2,3]=>[4,2,5,6,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,4,1,3,2]=>[4,2,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,4,2,1,3]=>[5,2,4,6,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,2,3,1]=>[6,2,4,5,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,4,3,1,2]=>[5,2,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,3,2,1]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,3,1,2,2,4]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,2,4,2]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,4,2,2]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,2,1,2,4]=>[4,3,5,2,6,1]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[5,3,2,1,4,2]=>[4,3,6,2,5,1]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[5,3,2,2,1,4]=>[5,3,4,2,6,1]=>[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,2,4,1]=>[6,3,4,2,5,1]=>[6,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[5,3,2,4,1,2]=>[5,3,6,2,4,1]=>[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,4,2,1]=>[6,3,5,2,4,1]=>[6,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[5,3,4,1,2,2]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,4,2,1,2]=>[5,4,6,2,3,1]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[5,3,4,2,2,1]=>[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[5,4,1,2,2,3]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,2,3,2]=>[3,4,6,5,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,3,2,2]=>[3,5,6,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,2,1,2,3]=>[4,3,5,6,2,1]=>[4,3,6,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[5,4,2,1,3,2]=>[4,3,6,5,2,1]=>[4,3,6,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[5,4,2,2,1,3]=>[5,3,4,6,2,1]=>[5,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,4,2,2,3,1]=>[6,3,4,5,2,1]=>[6,3,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],.]
[5,4,2,3,1,2]=>[5,3,6,4,2,1]=>[5,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,4,2,3,2,1]=>[6,3,5,4,2,1]=>[6,3,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],.]
[5,4,3,1,2,2]=>[4,5,6,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[5,4,3,2,1,2]=>[5,4,6,3,2,1]=>[5,4,6,3,2,1]=>[[[[[.,.],.],.],.],[.,.]]
[5,4,3,2,2,1]=>[6,4,5,3,2,1]=>[6,4,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,2,2,3,4,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,3,6,4]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,4,3,6]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,4,6,3]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,6,3,4]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,6,4,3]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,2,4,6]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,2,6,4]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,4,2,6]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,4,6,2]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,6,2,4]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,6,4,2]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,2,3,6]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,2,6,3]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,3,2,6]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,3,6,2]=>[1,2,6,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,6,2,3]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,6,3,2]=>[1,2,6,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,2,3,4]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,2,4,3]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,3,2,4]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,3,4,2]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,4,2,3]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,4,3,2]=>[1,2,6,5,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,2,4,6]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,2,6,4]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,4,2,6]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,4,6,2]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,6,2,4]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,6,4,2]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,2,2,6]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,2,6,2]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,6,2,2]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,2,2,4]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,2,4,2]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,4,2,2]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,2,3,6]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,2,6,3]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,3,2,6]=>[1,3,5,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,3,6,2]=>[1,3,6,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,6,2,3]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,6,3,2]=>[1,3,6,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,2,2,6]=>[1,4,5,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,2,6,2]=>[1,4,6,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,6,2,2]=>[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,2,2,3]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,2,3,2]=>[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,3,2,2]=>[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,2,3,4]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,2,4,3]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,3,2,4]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,3,4,2]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,4,2,3]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,4,3,2]=>[1,3,6,5,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,2,2,4]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,2,4,2]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,4,2,2]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,2,2,3]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,2,3,2]=>[1,4,6,5,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,3,2,2]=>[1,5,6,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,2,3,4,6]=>[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,3,6,4]=>[2,1,3,4,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,4,3,6]=>[2,1,3,5,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,4,6,3]=>[2,1,3,6,4,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,6,3,4]=>[2,1,3,5,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,6,4,3]=>[2,1,3,6,5,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,2,4,6]=>[2,1,4,3,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,2,6,4]=>[2,1,4,3,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,4,2,6]=>[2,1,5,3,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,4,6,2]=>[2,1,6,3,4,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,6,2,4]=>[2,1,5,3,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,6,4,2]=>[2,1,6,3,5,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,2,3,6]=>[2,1,4,5,3,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,2,6,3]=>[2,1,4,6,3,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,3,2,6]=>[2,1,5,4,3,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,3,6,2]=>[2,1,6,4,3,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,6,2,3]=>[2,1,5,6,3,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,6,3,2]=>[2,1,6,5,3,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,2,3,4]=>[2,1,4,5,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,2,4,3]=>[2,1,4,6,5,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,3,2,4]=>[2,1,5,4,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,3,4,2]=>[2,1,6,4,5,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,4,2,3]=>[2,1,5,6,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,4,3,2]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,3,4,6]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,3,6,4]=>[3,1,2,4,6,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,4,3,6]=>[3,1,2,5,4,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,4,6,3]=>[3,1,2,6,4,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,6,3,4]=>[3,1,2,5,6,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,6,4,3]=>[3,1,2,6,5,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,3,1,4,6]=>[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,3,1,6,4]=>[4,1,2,3,6,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,3,4,1,6]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,3,4,6,1]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,3,6,1,4]=>[5,1,2,3,6,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,3,6,4,1]=>[6,1,2,3,5,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,4,1,3,6]=>[4,1,2,5,3,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,4,1,6,3]=>[4,1,2,6,3,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,4,3,1,6]=>[5,1,2,4,3,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,4,3,6,1]=>[6,1,2,4,3,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,4,6,1,3]=>[5,1,2,6,3,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,4,6,3,1]=>[6,1,2,5,3,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,6,1,3,4]=>[4,1,2,5,6,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,6,1,4,3]=>[4,1,2,6,5,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,6,3,1,4]=>[5,1,2,4,6,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,6,3,4,1]=>[6,1,2,4,5,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,6,4,1,3]=>[5,1,2,6,4,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,6,4,3,1]=>[6,1,2,5,4,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,1,2,4,6]=>[3,1,4,2,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,2,6,4]=>[3,1,4,2,6,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,4,2,6]=>[3,1,5,2,4,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,4,6,2]=>[3,1,6,2,4,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,6,2,4]=>[3,1,5,2,6,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,6,4,2]=>[3,1,6,2,5,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,2,1,4,6]=>[4,1,3,2,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,2,1,6,4]=>[4,1,3,2,6,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,2,4,1,6]=>[5,1,3,2,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,2,4,6,1]=>[6,1,3,2,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,2,6,1,4]=>[5,1,3,2,6,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,2,6,4,1]=>[6,1,3,2,5,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,4,1,2,6]=>[4,1,5,2,3,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,4,1,6,2]=>[4,1,6,2,3,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,4,2,1,6]=>[5,1,4,2,3,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,4,2,6,1]=>[6,1,4,2,3,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,4,6,1,2]=>[5,1,6,2,3,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,4,6,2,1]=>[6,1,5,2,3,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,6,1,2,4]=>[4,1,5,2,6,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,6,1,4,2]=>[4,1,6,2,5,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,6,2,1,4]=>[5,1,4,2,6,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,6,2,4,1]=>[6,1,4,2,5,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,6,4,1,2]=>[5,1,6,2,4,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,6,4,2,1]=>[6,1,5,2,4,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,1,2,3,6]=>[3,1,4,5,2,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,2,6,3]=>[3,1,4,6,2,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,3,2,6]=>[3,1,5,4,2,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,3,6,2]=>[3,1,6,4,2,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,6,2,3]=>[3,1,5,6,2,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,6,3,2]=>[3,1,6,5,2,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,2,1,3,6]=>[4,1,3,5,2,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,2,1,6,3]=>[4,1,3,6,2,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,2,3,1,6]=>[5,1,3,4,2,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,2,3,6,1]=>[6,1,3,4,2,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,2,6,1,3]=>[5,1,3,6,2,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,2,6,3,1]=>[6,1,3,5,2,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,3,1,2,6]=>[4,1,5,3,2,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,3,1,6,2]=>[4,1,6,3,2,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,3,2,1,6]=>[5,1,4,3,2,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,3,2,6,1]=>[6,1,4,3,2,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,3,6,1,2]=>[5,1,6,3,2,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,3,6,2,1]=>[6,1,5,3,2,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,6,1,2,3]=>[4,1,5,6,2,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,6,1,3,2]=>[4,1,6,5,2,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,6,2,1,3]=>[5,1,4,6,2,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,6,2,3,1]=>[6,1,4,5,2,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,6,3,1,2]=>[5,1,6,4,2,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,6,3,2,1]=>[6,1,5,4,2,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,1,2,3,4]=>[3,1,4,5,6,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,2,4,3]=>[3,1,4,6,5,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,3,2,4]=>[3,1,5,4,6,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,3,4,2]=>[3,1,6,4,5,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,4,2,3]=>[3,1,5,6,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,4,3,2]=>[3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,2,1,3,4]=>[4,1,3,5,6,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,2,1,4,3]=>[4,1,3,6,5,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,2,3,1,4]=>[5,1,3,4,6,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,2,3,4,1]=>[6,1,3,4,5,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,2,4,1,3]=>[5,1,3,6,4,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,2,4,3,1]=>[6,1,3,5,4,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,3,1,2,4]=>[4,1,5,3,6,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,3,1,4,2]=>[4,1,6,3,5,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,3,2,1,4]=>[5,1,4,3,6,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,3,2,4,1]=>[6,1,4,3,5,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,3,4,1,2]=>[5,1,6,3,4,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,3,4,2,1]=>[6,1,5,3,4,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,4,1,2,3]=>[4,1,5,6,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,4,1,3,2]=>[4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,4,2,1,3]=>[5,1,4,6,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,4,2,3,1]=>[6,1,4,5,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,4,3,1,2]=>[5,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,4,3,2,1]=>[6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[3,1,2,2,4,6]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,2,6,4]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,4,2,6]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,4,6,2]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,6,2,4]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,6,4,2]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,2,2,6]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,2,6,2]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,6,2,2]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,2,2,4]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,2,4,2]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,4,2,2]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,2,4,6]=>[3,2,4,1,5,6]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,2,6,4]=>[3,2,4,1,6,5]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,4,2,6]=>[3,2,5,1,4,6]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,4,6,2]=>[3,2,6,1,4,5]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,6,2,4]=>[3,2,5,1,6,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,6,4,2]=>[3,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,2,1,4,6]=>[4,2,3,1,5,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,2,1,6,4]=>[4,2,3,1,6,5]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,2,4,1,6]=>[5,2,3,1,4,6]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,2,4,6,1]=>[6,2,3,1,4,5]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,2,6,1,4]=>[5,2,3,1,6,4]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,2,6,4,1]=>[6,2,3,1,5,4]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,4,1,2,6]=>[4,2,5,1,3,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,4,1,6,2]=>[4,2,6,1,3,5]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,4,2,1,6]=>[5,2,4,1,3,6]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,4,2,6,1]=>[6,2,4,1,3,5]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,4,6,1,2]=>[5,2,6,1,3,4]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,4,6,2,1]=>[6,2,5,1,3,4]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,6,1,2,4]=>[4,2,5,1,6,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,6,1,4,2]=>[4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,6,2,1,4]=>[5,2,4,1,6,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,6,2,4,1]=>[6,2,4,1,5,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,6,4,1,2]=>[5,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,6,4,2,1]=>[6,2,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,4,1,2,2,6]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,2,6,2]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,6,2,2]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,2,1,2,6]=>[4,3,5,1,2,6]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,4,2,1,6,2]=>[4,3,6,1,2,5]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,4,2,2,1,6]=>[5,3,4,1,2,6]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,4,2,2,6,1]=>[6,3,4,1,2,5]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,4,2,6,1,2]=>[5,3,6,1,2,4]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,4,2,6,2,1]=>[6,3,5,1,2,4]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,4,6,1,2,2]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,6,2,1,2]=>[5,4,6,1,2,3]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[3,4,6,2,2,1]=>[6,4,5,1,2,3]=>[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[3,6,1,2,2,4]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,2,4,2]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,4,2,2]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,2,1,2,4]=>[4,3,5,1,6,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,6,2,1,4,2]=>[4,3,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,6,2,2,1,4]=>[5,3,4,1,6,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,6,2,2,4,1]=>[6,3,4,1,5,2]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,6,2,4,1,2]=>[5,3,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,6,2,4,2,1]=>[6,3,5,1,4,2]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,6,4,1,2,2]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,4,2,1,2]=>[5,4,6,1,3,2]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[3,6,4,2,2,1]=>[6,4,5,1,3,2]=>[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[4,1,2,2,3,6]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,2,6,3]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,3,2,6]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,3,6,2]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,6,2,3]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,6,3,2]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,2,2,6]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,2,6,2]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,6,2,2]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,2,2,3]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,2,3,2]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,3,2,2]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,2,3,6]=>[3,2,4,5,1,6]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,2,6,3]=>[3,2,4,6,1,5]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,3,2,6]=>[3,2,5,4,1,6]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,3,6,2]=>[3,2,6,4,1,5]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,6,2,3]=>[3,2,5,6,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,6,3,2]=>[3,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,2,1,3,6]=>[4,2,3,5,1,6]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,2,1,6,3]=>[4,2,3,6,1,5]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,2,3,1,6]=>[5,2,3,4,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,2,3,6,1]=>[6,2,3,4,1,5]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,2,6,1,3]=>[5,2,3,6,1,4]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,2,6,3,1]=>[6,2,3,5,1,4]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,3,1,2,6]=>[4,2,5,3,1,6]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,1,6,2]=>[4,2,6,3,1,5]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,2,1,6]=>[5,2,4,3,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,3,2,6,1]=>[6,2,4,3,1,5]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,3,6,1,2]=>[5,2,6,3,1,4]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,3,6,2,1]=>[6,2,5,3,1,4]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,6,1,2,3]=>[4,2,5,6,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,1,3,2]=>[4,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,2,1,3]=>[5,2,4,6,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,6,2,3,1]=>[6,2,4,5,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,6,3,1,2]=>[5,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,6,3,2,1]=>[6,2,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,3,1,2,2,6]=>[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,2,6,2]=>[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,6,2,2]=>[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,2,1,2,6]=>[4,3,5,2,1,6]=>[4,3,6,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,1,6,2]=>[4,3,6,2,1,5]=>[4,3,6,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,2,1,6]=>[5,3,4,2,1,6]=>[5,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,3,2,2,6,1]=>[6,3,4,2,1,5]=>[6,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],.]
[4,3,2,6,1,2]=>[5,3,6,2,1,4]=>[5,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[4,3,2,6,2,1]=>[6,3,5,2,1,4]=>[6,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],.]
[4,3,6,1,2,2]=>[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,6,2,1,2]=>[5,4,6,2,1,3]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[4,3,6,2,2,1]=>[6,4,5,2,1,3]=>[6,4,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],.]
[4,6,1,2,2,3]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,2,3,2]=>[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,3,2,2]=>[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,2,1,2,3]=>[4,3,5,6,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,2,1,3,2]=>[4,3,6,5,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,2,2,1,3]=>[5,3,4,6,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,6,2,2,3,1]=>[6,3,4,5,1,2]=>[6,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],.]
[4,6,2,3,1,2]=>[5,3,6,4,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,6,2,3,2,1]=>[6,3,5,4,1,2]=>[6,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],.]
[4,6,3,1,2,2]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,3,2,1,2]=>[5,4,6,3,1,2]=>[5,4,6,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[4,6,3,2,2,1]=>[6,4,5,3,1,2]=>[6,4,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],.]
[6,1,2,2,3,4]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,2,4,3]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,3,2,4]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,3,4,2]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,4,2,3]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,4,3,2]=>[2,3,6,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,2,2,4]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,2,4,2]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,4,2,2]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,2,2,3]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,2,3,2]=>[2,4,6,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,3,2,2]=>[2,5,6,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,1,2,3,4]=>[3,2,4,5,6,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,2,4,3]=>[3,2,4,6,5,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,3,2,4]=>[3,2,5,4,6,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,3,4,2]=>[3,2,6,4,5,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,4,2,3]=>[3,2,5,6,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,4,3,2]=>[3,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,2,1,3,4]=>[4,2,3,5,6,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,2,1,4,3]=>[4,2,3,6,5,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,2,3,1,4]=>[5,2,3,4,6,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,2,3,4,1]=>[6,2,3,4,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,2,4,1,3]=>[5,2,3,6,4,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,2,4,3,1]=>[6,2,3,5,4,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,3,1,2,4]=>[4,2,5,3,6,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,3,1,4,2]=>[4,2,6,3,5,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,3,2,1,4]=>[5,2,4,3,6,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,3,2,4,1]=>[6,2,4,3,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,3,4,1,2]=>[5,2,6,3,4,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,3,4,2,1]=>[6,2,5,3,4,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,1,2,3]=>[4,2,5,6,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,4,1,3,2]=>[4,2,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,4,2,1,3]=>[5,2,4,6,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,4,2,3,1]=>[6,2,4,5,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,3,1,2]=>[5,2,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,4,3,2,1]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,3,1,2,2,4]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,2,4,2]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,4,2,2]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,2,1,2,4]=>[4,3,5,2,6,1]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,3,2,1,4,2]=>[4,3,6,2,5,1]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,3,2,2,1,4]=>[5,3,4,2,6,1]=>[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,3,2,2,4,1]=>[6,3,4,2,5,1]=>[6,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,3,2,4,1,2]=>[5,3,6,2,4,1]=>[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,3,2,4,2,1]=>[6,3,5,2,4,1]=>[6,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,3,4,1,2,2]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,3,4,2,1,2]=>[5,4,6,2,3,1]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[6,3,4,2,2,1]=>[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,4,1,2,2,3]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,2,3,2]=>[3,4,6,5,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,3,2,2]=>[3,5,6,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,2,1,2,3]=>[4,3,5,6,2,1]=>[4,3,6,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,4,2,1,3,2]=>[4,3,6,5,2,1]=>[4,3,6,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,4,2,2,1,3]=>[5,3,4,6,2,1]=>[5,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,4,2,2,3,1]=>[6,3,4,5,2,1]=>[6,3,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,4,2,3,1,2]=>[5,3,6,4,2,1]=>[5,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,4,2,3,2,1]=>[6,3,5,4,2,1]=>[6,3,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,4,3,1,2,2]=>[4,5,6,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,4,3,2,1,2]=>[5,4,6,3,2,1]=>[5,4,6,3,2,1]=>[[[[[.,.],.],.],.],[.,.]]
[6,4,3,2,2,1]=>[6,4,5,3,2,1]=>[6,4,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,2,2,3,5,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,5,3,5]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,5,5,3]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,2,5,5]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,5,2,5]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,5,5,2]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,2,3,5]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,2,5,3]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,3,2,5]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,3,5,2]=>[1,2,6,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,5,2,3]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,5,3,2]=>[1,2,6,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,2,5,5]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,5,2,5]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,5,5,2]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,2,2,5]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,2,5,2]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,5,2,2]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,2,3,5]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,2,5,3]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,3,2,5]=>[1,3,5,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,3,5,2]=>[1,3,6,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,5,2,3]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,5,3,2]=>[1,3,6,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,2,2,5]=>[1,4,5,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,2,5,2]=>[1,4,6,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,5,2,2]=>[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,2,2,3]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,2,3,2]=>[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,3,2,2]=>[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,2,3,5,5]=>[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,5,3,5]=>[2,1,3,5,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,5,5,3]=>[2,1,3,6,4,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,2,5,5]=>[2,1,4,3,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,5,2,5]=>[2,1,5,3,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,5,5,2]=>[2,1,6,3,4,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,2,3,5]=>[2,1,4,5,3,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,2,5,3]=>[2,1,4,6,3,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,3,2,5]=>[2,1,5,4,3,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,3,5,2]=>[2,1,6,4,3,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,5,2,3]=>[2,1,5,6,3,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,5,3,2]=>[2,1,6,5,3,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,3,5,5]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,5,3,5]=>[3,1,2,5,4,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,5,5,3]=>[3,1,2,6,4,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,3,1,5,5]=>[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,3,5,1,5]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,3,5,5,1]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,5,1,3,5]=>[4,1,2,5,3,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,5,1,5,3]=>[4,1,2,6,3,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,5,3,1,5]=>[5,1,2,4,3,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,5,3,5,1]=>[6,1,2,4,3,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,5,5,1,3]=>[5,1,2,6,3,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,5,5,3,1]=>[6,1,2,5,3,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,1,2,5,5]=>[3,1,4,2,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,5,2,5]=>[3,1,5,2,4,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,5,5,2]=>[3,1,6,2,4,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,2,1,5,5]=>[4,1,3,2,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,2,5,1,5]=>[5,1,3,2,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,2,5,5,1]=>[6,1,3,2,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,5,1,2,5]=>[4,1,5,2,3,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,5,1,5,2]=>[4,1,6,2,3,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,5,2,1,5]=>[5,1,4,2,3,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,5,2,5,1]=>[6,1,4,2,3,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,5,5,1,2]=>[5,1,6,2,3,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,5,5,2,1]=>[6,1,5,2,3,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,1,2,3,5]=>[3,1,4,5,2,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,2,5,3]=>[3,1,4,6,2,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,3,2,5]=>[3,1,5,4,2,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,3,5,2]=>[3,1,6,4,2,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,5,2,3]=>[3,1,5,6,2,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,5,3,2]=>[3,1,6,5,2,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,2,1,3,5]=>[4,1,3,5,2,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,2,1,5,3]=>[4,1,3,6,2,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,2,3,1,5]=>[5,1,3,4,2,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,2,3,5,1]=>[6,1,3,4,2,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,2,5,1,3]=>[5,1,3,6,2,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,2,5,3,1]=>[6,1,3,5,2,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,3,1,2,5]=>[4,1,5,3,2,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,3,1,5,2]=>[4,1,6,3,2,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,3,2,1,5]=>[5,1,4,3,2,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,3,2,5,1]=>[6,1,4,3,2,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,3,5,1,2]=>[5,1,6,3,2,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,3,5,2,1]=>[6,1,5,3,2,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,5,1,2,3]=>[4,1,5,6,2,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,5,1,3,2]=>[4,1,6,5,2,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,5,2,1,3]=>[5,1,4,6,2,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,5,2,3,1]=>[6,1,4,5,2,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,5,3,1,2]=>[5,1,6,4,2,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,5,3,2,1]=>[6,1,5,4,2,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[3,1,2,2,5,5]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,5,2,5]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,5,5,2]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,2,2,5]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,2,5,2]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,5,2,2]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,2,5,5]=>[3,2,4,1,5,6]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,5,2,5]=>[3,2,5,1,4,6]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,5,5,2]=>[3,2,6,1,4,5]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,2,1,5,5]=>[4,2,3,1,5,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,2,5,1,5]=>[5,2,3,1,4,6]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,2,5,5,1]=>[6,2,3,1,4,5]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,5,1,2,5]=>[4,2,5,1,3,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,5,1,5,2]=>[4,2,6,1,3,5]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,5,2,1,5]=>[5,2,4,1,3,6]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,5,2,5,1]=>[6,2,4,1,3,5]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,5,5,1,2]=>[5,2,6,1,3,4]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,5,5,2,1]=>[6,2,5,1,3,4]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,5,1,2,2,5]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,2,5,2]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,5,2,2]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,2,1,2,5]=>[4,3,5,1,2,6]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,5,2,1,5,2]=>[4,3,6,1,2,5]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,5,2,2,1,5]=>[5,3,4,1,2,6]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,5,2,2,5,1]=>[6,3,4,1,2,5]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,5,2,5,1,2]=>[5,3,6,1,2,4]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,5,2,5,2,1]=>[6,3,5,1,2,4]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,5,5,1,2,2]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,5,2,1,2]=>[5,4,6,1,2,3]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[3,5,5,2,2,1]=>[6,4,5,1,2,3]=>[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[5,1,2,2,3,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,2,5,3]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,3,2,5]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,3,5,2]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,5,2,3]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,5,3,2]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,2,2,5]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,2,5,2]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,5,2,2]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,2,2,3]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,2,3,2]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,3,2,2]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,2,3,5]=>[3,2,4,5,1,6]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,2,5,3]=>[3,2,4,6,1,5]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,3,2,5]=>[3,2,5,4,1,6]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,3,5,2]=>[3,2,6,4,1,5]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,5,2,3]=>[3,2,5,6,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,5,3,2]=>[3,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,2,1,3,5]=>[4,2,3,5,1,6]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,2,1,5,3]=>[4,2,3,6,1,5]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,2,3,1,5]=>[5,2,3,4,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,2,3,5,1]=>[6,2,3,4,1,5]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,2,5,1,3]=>[5,2,3,6,1,4]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,2,5,3,1]=>[6,2,3,5,1,4]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,3,1,2,5]=>[4,2,5,3,1,6]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,3,1,5,2]=>[4,2,6,3,1,5]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,3,2,1,5]=>[5,2,4,3,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,2,5,1]=>[6,2,4,3,1,5]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,3,5,1,2]=>[5,2,6,3,1,4]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,5,2,1]=>[6,2,5,3,1,4]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,5,1,2,3]=>[4,2,5,6,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,5,1,3,2]=>[4,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,5,2,1,3]=>[5,2,4,6,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,5,2,3,1]=>[6,2,4,5,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,5,3,1,2]=>[5,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,5,3,2,1]=>[6,2,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[5,3,1,2,2,5]=>[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,2,5,2]=>[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,5,2,2]=>[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,2,1,2,5]=>[4,3,5,2,1,6]=>[4,3,6,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[5,3,2,1,5,2]=>[4,3,6,2,1,5]=>[4,3,6,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[5,3,2,2,1,5]=>[5,3,4,2,1,6]=>[5,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,2,5,1]=>[6,3,4,2,1,5]=>[6,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],.]
[5,3,2,5,1,2]=>[5,3,6,2,1,4]=>[5,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,5,2,1]=>[6,3,5,2,1,4]=>[6,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],.]
[5,3,5,1,2,2]=>[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,5,2,1,2]=>[5,4,6,2,1,3]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,3,5,2,2,1]=>[6,4,5,2,1,3]=>[6,4,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],.]
[5,5,1,2,2,3]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,1,2,3,2]=>[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,1,3,2,2]=>[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,2,1,2,3]=>[4,3,5,6,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,5,2,1,3,2]=>[4,3,6,5,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,5,2,2,1,3]=>[5,3,4,6,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,5,2,2,3,1]=>[6,3,4,5,1,2]=>[6,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],.]
[5,5,2,3,1,2]=>[5,3,6,4,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,5,2,3,2,1]=>[6,3,5,4,1,2]=>[6,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],.]
[5,5,3,1,2,2]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,5,3,2,1,2]=>[5,4,6,3,1,2]=>[5,4,6,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,5,3,2,2,1]=>[6,4,5,3,1,2]=>[6,4,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],.]
[1,2,2,3,5,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,3,6,5]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,5,3,6]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,5,6,3]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,6,3,5]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,6,5,3]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,2,5,6]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,2,6,5]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,5,2,6]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,5,6,2]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,6,2,5]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,6,5,2]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,2,3,6]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,2,6,3]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,3,2,6]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,3,6,2]=>[1,2,6,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,6,2,3]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,6,3,2]=>[1,2,6,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,2,3,5]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,2,5,3]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,3,2,5]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,3,5,2]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,5,2,3]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,5,3,2]=>[1,2,6,5,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,2,5,6]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,2,6,5]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,5,2,6]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,5,6,2]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,6,2,5]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,6,5,2]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,2,2,6]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,2,6,2]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,6,2,2]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,2,2,5]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,2,5,2]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,5,2,2]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,2,3,6]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,2,6,3]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,3,2,6]=>[1,3,5,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,3,6,2]=>[1,3,6,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,6,2,3]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,6,3,2]=>[1,3,6,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,2,2,6]=>[1,4,5,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,2,6,2]=>[1,4,6,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,6,2,2]=>[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,6,2,2,3]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,6,2,3,2]=>[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,6,3,2,2]=>[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,2,3,5]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,2,5,3]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,3,2,5]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,3,5,2]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,5,2,3]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,5,3,2]=>[1,3,6,5,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,2,2,5]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,2,5,2]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,5,2,2]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,5,2,2,3]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,5,2,3,2]=>[1,4,6,5,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,5,3,2,2]=>[1,5,6,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,2,3,5,6]=>[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,3,6,5]=>[2,1,3,4,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,5,3,6]=>[2,1,3,5,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,5,6,3]=>[2,1,3,6,4,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,6,3,5]=>[2,1,3,5,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,6,5,3]=>[2,1,3,6,5,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,2,5,6]=>[2,1,4,3,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,2,6,5]=>[2,1,4,3,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,5,2,6]=>[2,1,5,3,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,5,6,2]=>[2,1,6,3,4,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,6,2,5]=>[2,1,5,3,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,6,5,2]=>[2,1,6,3,5,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,2,3,6]=>[2,1,4,5,3,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,2,6,3]=>[2,1,4,6,3,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,3,2,6]=>[2,1,5,4,3,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,3,6,2]=>[2,1,6,4,3,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,6,2,3]=>[2,1,5,6,3,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,6,3,2]=>[2,1,6,5,3,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,2,3,5]=>[2,1,4,5,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,2,5,3]=>[2,1,4,6,5,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,3,2,5]=>[2,1,5,4,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,3,5,2]=>[2,1,6,4,5,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,5,2,3]=>[2,1,5,6,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,5,3,2]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,3,5,6]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,3,6,5]=>[3,1,2,4,6,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,5,3,6]=>[3,1,2,5,4,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,5,6,3]=>[3,1,2,6,4,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,6,3,5]=>[3,1,2,5,6,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,6,5,3]=>[3,1,2,6,5,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,3,1,5,6]=>[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,3,1,6,5]=>[4,1,2,3,6,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,3,5,1,6]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,3,5,6,1]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,3,6,1,5]=>[5,1,2,3,6,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,3,6,5,1]=>[6,1,2,3,5,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,5,1,3,6]=>[4,1,2,5,3,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,5,1,6,3]=>[4,1,2,6,3,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,5,3,1,6]=>[5,1,2,4,3,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,5,3,6,1]=>[6,1,2,4,3,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,5,6,1,3]=>[5,1,2,6,3,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,5,6,3,1]=>[6,1,2,5,3,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,6,1,3,5]=>[4,1,2,5,6,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,6,1,5,3]=>[4,1,2,6,5,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,6,3,1,5]=>[5,1,2,4,6,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,6,3,5,1]=>[6,1,2,4,5,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,6,5,1,3]=>[5,1,2,6,4,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,6,5,3,1]=>[6,1,2,5,4,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,1,2,5,6]=>[3,1,4,2,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,2,6,5]=>[3,1,4,2,6,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,5,2,6]=>[3,1,5,2,4,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,5,6,2]=>[3,1,6,2,4,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,6,2,5]=>[3,1,5,2,6,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,6,5,2]=>[3,1,6,2,5,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,2,1,5,6]=>[4,1,3,2,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,2,1,6,5]=>[4,1,3,2,6,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,2,5,1,6]=>[5,1,3,2,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,2,5,6,1]=>[6,1,3,2,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,2,6,1,5]=>[5,1,3,2,6,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,2,6,5,1]=>[6,1,3,2,5,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,5,1,2,6]=>[4,1,5,2,3,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,5,1,6,2]=>[4,1,6,2,3,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,5,2,1,6]=>[5,1,4,2,3,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,5,2,6,1]=>[6,1,4,2,3,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,5,6,1,2]=>[5,1,6,2,3,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,5,6,2,1]=>[6,1,5,2,3,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,6,1,2,5]=>[4,1,5,2,6,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,6,1,5,2]=>[4,1,6,2,5,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,6,2,1,5]=>[5,1,4,2,6,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,6,2,5,1]=>[6,1,4,2,5,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,6,5,1,2]=>[5,1,6,2,4,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,6,5,2,1]=>[6,1,5,2,4,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,1,2,3,6]=>[3,1,4,5,2,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,2,6,3]=>[3,1,4,6,2,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,3,2,6]=>[3,1,5,4,2,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,3,6,2]=>[3,1,6,4,2,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,6,2,3]=>[3,1,5,6,2,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,6,3,2]=>[3,1,6,5,2,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,2,1,3,6]=>[4,1,3,5,2,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,2,1,6,3]=>[4,1,3,6,2,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,2,3,1,6]=>[5,1,3,4,2,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,2,3,6,1]=>[6,1,3,4,2,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,2,6,1,3]=>[5,1,3,6,2,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,2,6,3,1]=>[6,1,3,5,2,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,3,1,2,6]=>[4,1,5,3,2,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,3,1,6,2]=>[4,1,6,3,2,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,3,2,1,6]=>[5,1,4,3,2,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,3,2,6,1]=>[6,1,4,3,2,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,3,6,1,2]=>[5,1,6,3,2,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,3,6,2,1]=>[6,1,5,3,2,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,6,1,2,3]=>[4,1,5,6,2,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,6,1,3,2]=>[4,1,6,5,2,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,6,2,1,3]=>[5,1,4,6,2,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,6,2,3,1]=>[6,1,4,5,2,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,6,3,1,2]=>[5,1,6,4,2,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,6,3,2,1]=>[6,1,5,4,2,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,1,2,3,5]=>[3,1,4,5,6,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,2,5,3]=>[3,1,4,6,5,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,3,2,5]=>[3,1,5,4,6,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,3,5,2]=>[3,1,6,4,5,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,5,2,3]=>[3,1,5,6,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,5,3,2]=>[3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,2,1,3,5]=>[4,1,3,5,6,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,2,1,5,3]=>[4,1,3,6,5,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,2,3,1,5]=>[5,1,3,4,6,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,2,3,5,1]=>[6,1,3,4,5,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,2,5,1,3]=>[5,1,3,6,4,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,2,5,3,1]=>[6,1,3,5,4,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,3,1,2,5]=>[4,1,5,3,6,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,3,1,5,2]=>[4,1,6,3,5,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,3,2,1,5]=>[5,1,4,3,6,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,3,2,5,1]=>[6,1,4,3,5,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,3,5,1,2]=>[5,1,6,3,4,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,3,5,2,1]=>[6,1,5,3,4,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,5,1,2,3]=>[4,1,5,6,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,5,1,3,2]=>[4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,5,2,1,3]=>[5,1,4,6,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,5,2,3,1]=>[6,1,4,5,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,5,3,1,2]=>[5,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,5,3,2,1]=>[6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[3,1,2,2,5,6]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,2,6,5]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,5,2,6]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,5,6,2]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,6,2,5]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,6,5,2]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,2,2,6]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,2,6,2]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,6,2,2]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,2,2,5]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,2,5,2]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,5,2,2]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,2,5,6]=>[3,2,4,1,5,6]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,2,6,5]=>[3,2,4,1,6,5]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,5,2,6]=>[3,2,5,1,4,6]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,5,6,2]=>[3,2,6,1,4,5]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,6,2,5]=>[3,2,5,1,6,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,6,5,2]=>[3,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,2,1,5,6]=>[4,2,3,1,5,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,2,1,6,5]=>[4,2,3,1,6,5]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,2,5,1,6]=>[5,2,3,1,4,6]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,2,5,6,1]=>[6,2,3,1,4,5]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,2,6,1,5]=>[5,2,3,1,6,4]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,2,6,5,1]=>[6,2,3,1,5,4]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,5,1,2,6]=>[4,2,5,1,3,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,5,1,6,2]=>[4,2,6,1,3,5]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,5,2,1,6]=>[5,2,4,1,3,6]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,5,2,6,1]=>[6,2,4,1,3,5]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,5,6,1,2]=>[5,2,6,1,3,4]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,5,6,2,1]=>[6,2,5,1,3,4]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,6,1,2,5]=>[4,2,5,1,6,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,6,1,5,2]=>[4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,6,2,1,5]=>[5,2,4,1,6,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,6,2,5,1]=>[6,2,4,1,5,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,6,5,1,2]=>[5,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,6,5,2,1]=>[6,2,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,5,1,2,2,6]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,2,6,2]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,6,2,2]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,2,1,2,6]=>[4,3,5,1,2,6]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,5,2,1,6,2]=>[4,3,6,1,2,5]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,5,2,2,1,6]=>[5,3,4,1,2,6]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,5,2,2,6,1]=>[6,3,4,1,2,5]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,5,2,6,1,2]=>[5,3,6,1,2,4]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,5,2,6,2,1]=>[6,3,5,1,2,4]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,5,6,1,2,2]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,6,2,1,2]=>[5,4,6,1,2,3]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[3,5,6,2,2,1]=>[6,4,5,1,2,3]=>[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[3,6,1,2,2,5]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,2,5,2]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,1,5,2,2]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,6,2,1,2,5]=>[4,3,5,1,6,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,6,2,1,5,2]=>[4,3,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,6,2,2,1,5]=>[5,3,4,1,6,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,6,2,2,5,1]=>[6,3,4,1,5,2]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,6,2,5,1,2]=>[5,3,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,6,2,5,2,1]=>[6,3,5,1,4,2]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,6,5,1,2,2]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,6,5,2,1,2]=>[5,4,6,1,3,2]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[3,6,5,2,2,1]=>[6,4,5,1,3,2]=>[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[5,1,2,2,3,6]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,2,6,3]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,3,2,6]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,3,6,2]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,6,2,3]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,6,3,2]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,2,2,6]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,2,6,2]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,6,2,2]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,2,2,3]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,2,3,2]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,3,2,2]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,2,3,6]=>[3,2,4,5,1,6]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,2,6,3]=>[3,2,4,6,1,5]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,3,2,6]=>[3,2,5,4,1,6]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,3,6,2]=>[3,2,6,4,1,5]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,6,2,3]=>[3,2,5,6,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,6,3,2]=>[3,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,2,1,3,6]=>[4,2,3,5,1,6]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,2,1,6,3]=>[4,2,3,6,1,5]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,2,3,1,6]=>[5,2,3,4,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,2,3,6,1]=>[6,2,3,4,1,5]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,2,6,1,3]=>[5,2,3,6,1,4]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,2,6,3,1]=>[6,2,3,5,1,4]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,3,1,2,6]=>[4,2,5,3,1,6]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,3,1,6,2]=>[4,2,6,3,1,5]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,3,2,1,6]=>[5,2,4,3,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,2,6,1]=>[6,2,4,3,1,5]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,3,6,1,2]=>[5,2,6,3,1,4]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,6,2,1]=>[6,2,5,3,1,4]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,6,1,2,3]=>[4,2,5,6,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,6,1,3,2]=>[4,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,6,2,1,3]=>[5,2,4,6,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,2,3,1]=>[6,2,4,5,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,6,3,1,2]=>[5,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,3,2,1]=>[6,2,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[5,3,1,2,2,6]=>[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,2,6,2]=>[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,6,2,2]=>[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,2,1,2,6]=>[4,3,5,2,1,6]=>[4,3,6,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[5,3,2,1,6,2]=>[4,3,6,2,1,5]=>[4,3,6,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[5,3,2,2,1,6]=>[5,3,4,2,1,6]=>[5,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,2,6,1]=>[6,3,4,2,1,5]=>[6,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],.]
[5,3,2,6,1,2]=>[5,3,6,2,1,4]=>[5,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,6,2,1]=>[6,3,5,2,1,4]=>[6,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],.]
[5,3,6,1,2,2]=>[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,6,2,1,2]=>[5,4,6,2,1,3]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,3,6,2,2,1]=>[6,4,5,2,1,3]=>[6,4,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],.]
[5,6,1,2,2,3]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,1,2,3,2]=>[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,1,3,2,2]=>[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,2,1,2,3]=>[4,3,5,6,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,2,1,3,2]=>[4,3,6,5,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,2,2,1,3]=>[5,3,4,6,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,6,2,2,3,1]=>[6,3,4,5,1,2]=>[6,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],.]
[5,6,2,3,1,2]=>[5,3,6,4,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,6,2,3,2,1]=>[6,3,5,4,1,2]=>[6,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],.]
[5,6,3,1,2,2]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,3,2,1,2]=>[5,4,6,3,1,2]=>[5,4,6,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,6,3,2,2,1]=>[6,4,5,3,1,2]=>[6,4,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],.]
[6,1,2,2,3,5]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,2,5,3]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,3,2,5]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,3,5,2]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,5,2,3]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,5,3,2]=>[2,3,6,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,2,2,5]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,2,5,2]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,5,2,2]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,2,2,3]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,2,3,2]=>[2,4,6,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,3,2,2]=>[2,5,6,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,1,2,3,5]=>[3,2,4,5,6,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,2,5,3]=>[3,2,4,6,5,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,3,2,5]=>[3,2,5,4,6,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,3,5,2]=>[3,2,6,4,5,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,5,2,3]=>[3,2,5,6,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,5,3,2]=>[3,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,2,1,3,5]=>[4,2,3,5,6,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,2,1,5,3]=>[4,2,3,6,5,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,2,3,1,5]=>[5,2,3,4,6,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,2,3,5,1]=>[6,2,3,4,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,2,5,1,3]=>[5,2,3,6,4,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,2,5,3,1]=>[6,2,3,5,4,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,3,1,2,5]=>[4,2,5,3,6,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,3,1,5,2]=>[4,2,6,3,5,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,3,2,1,5]=>[5,2,4,3,6,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,3,2,5,1]=>[6,2,4,3,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,3,5,1,2]=>[5,2,6,3,4,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,3,5,2,1]=>[6,2,5,3,4,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,1,2,3]=>[4,2,5,6,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,5,1,3,2]=>[4,2,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,5,2,1,3]=>[5,2,4,6,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,5,2,3,1]=>[6,2,4,5,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,3,1,2]=>[5,2,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,5,3,2,1]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,3,1,2,2,5]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,2,5,2]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,1,5,2,2]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,3,2,1,2,5]=>[4,3,5,2,6,1]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,3,2,1,5,2]=>[4,3,6,2,5,1]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,3,2,2,1,5]=>[5,3,4,2,6,1]=>[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,3,2,2,5,1]=>[6,3,4,2,5,1]=>[6,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,3,2,5,1,2]=>[5,3,6,2,4,1]=>[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,3,2,5,2,1]=>[6,3,5,2,4,1]=>[6,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,3,5,1,2,2]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,3,5,2,1,2]=>[5,4,6,2,3,1]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[6,3,5,2,2,1]=>[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,5,1,2,2,3]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,1,2,3,2]=>[3,4,6,5,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,1,3,2,2]=>[3,5,6,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,2,1,2,3]=>[4,3,5,6,2,1]=>[4,3,6,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,5,2,1,3,2]=>[4,3,6,5,2,1]=>[4,3,6,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,5,2,2,1,3]=>[5,3,4,6,2,1]=>[5,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,5,2,2,3,1]=>[6,3,4,5,2,1]=>[6,3,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,5,2,3,1,2]=>[5,3,6,4,2,1]=>[5,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,5,2,3,2,1]=>[6,3,5,4,2,1]=>[6,3,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,5,3,1,2,2]=>[4,5,6,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,5,3,2,1,2]=>[5,4,6,3,2,1]=>[5,4,6,3,2,1]=>[[[[[.,.],.],.],.],[.,.]]
[6,5,3,2,2,1]=>[6,4,5,3,2,1]=>[6,4,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,2,2,4,4,4]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,2,4,4]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,4,2,4]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,4,4,2]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,2,4,4]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,4,2,4]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,4,4,2]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,2,2,4]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,2,4,2]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,4,2,2]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,2,4,4,4]=>[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,2,4,4]=>[2,1,4,3,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,4,2,4]=>[2,1,5,3,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,4,4,2]=>[2,1,6,3,4,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,4,4,4]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,4,1,4,4]=>[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,4,4,1,4]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,4,4,4,1]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,1,2,4,4]=>[3,1,4,2,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,4,2,4]=>[3,1,5,2,4,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,4,4,2]=>[3,1,6,2,4,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,2,1,4,4]=>[4,1,3,2,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,2,4,1,4]=>[5,1,3,2,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,2,4,4,1]=>[6,1,3,2,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,4,1,2,4]=>[4,1,5,2,3,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,4,1,4,2]=>[4,1,6,2,3,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,4,2,1,4]=>[5,1,4,2,3,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,4,2,4,1]=>[6,1,4,2,3,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,4,4,1,2]=>[5,1,6,2,3,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,4,4,2,1]=>[6,1,5,2,3,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[4,1,2,2,4,4]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,4,2,4]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,4,4,2]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,2,2,4]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,2,4,2]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,4,2,2]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,2,4,4]=>[3,2,4,1,5,6]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,4,2,4]=>[3,2,5,1,4,6]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,4,4,2]=>[3,2,6,1,4,5]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,2,1,4,4]=>[4,2,3,1,5,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,2,4,1,4]=>[5,2,3,1,4,6]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,2,4,4,1]=>[6,2,3,1,4,5]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,4,1,2,4]=>[4,2,5,1,3,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,4,1,4,2]=>[4,2,6,1,3,5]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,4,2,1,4]=>[5,2,4,1,3,6]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,4,2,4,1]=>[6,2,4,1,3,5]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,4,4,1,2]=>[5,2,6,1,3,4]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,4,4,2,1]=>[6,2,5,1,3,4]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,4,1,2,2,4]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,2,4,2]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,4,2,2]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,2,1,2,4]=>[4,3,5,1,2,6]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,4,2,1,4,2]=>[4,3,6,1,2,5]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,4,2,2,1,4]=>[5,3,4,1,2,6]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,4,2,2,4,1]=>[6,3,4,1,2,5]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[4,4,2,4,1,2]=>[5,3,6,1,2,4]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,4,2,4,2,1]=>[6,3,5,1,2,4]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[4,4,4,1,2,2]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,4,4,2,1,2]=>[5,4,6,1,2,3]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[4,4,4,2,2,1]=>[6,4,5,1,2,3]=>[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[1,2,2,4,4,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,4,5,4]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,5,4,4]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,2,4,5]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,2,5,4]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,4,2,5]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,4,5,2]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,5,2,4]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,5,4,2]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,2,4,4]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,4,2,4]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,4,4,2]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,2,4,5]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,2,5,4]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,4,2,5]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,4,5,2]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,5,2,4]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,5,4,2]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,2,2,5]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,2,5,2]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,5,2,2]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,2,2,4]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,2,4,2]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,4,2,2]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,2,4,4]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,4,2,4]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,4,4,2]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,2,2,4]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,2,4,2]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,4,2,2]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,2,4,4,5]=>[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,4,5,4]=>[2,1,3,4,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,5,4,4]=>[2,1,3,5,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,2,4,5]=>[2,1,4,3,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,2,5,4]=>[2,1,4,3,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,4,2,5]=>[2,1,5,3,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,4,5,2]=>[2,1,6,3,4,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,5,2,4]=>[2,1,5,3,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,5,4,2]=>[2,1,6,3,5,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,2,4,4]=>[2,1,4,5,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,4,2,4]=>[2,1,5,4,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,4,4,2]=>[2,1,6,4,5,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,4,4,5]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,4,5,4]=>[3,1,2,4,6,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,5,4,4]=>[3,1,2,5,6,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,4,1,4,5]=>[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,4,1,5,4]=>[4,1,2,3,6,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,4,4,1,5]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,4,4,5,1]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,4,5,1,4]=>[5,1,2,3,6,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,4,5,4,1]=>[6,1,2,3,5,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,5,1,4,4]=>[4,1,2,5,6,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,5,4,1,4]=>[5,1,2,4,6,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,5,4,4,1]=>[6,1,2,4,5,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,1,2,4,5]=>[3,1,4,2,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,2,5,4]=>[3,1,4,2,6,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,4,2,5]=>[3,1,5,2,4,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,4,5,2]=>[3,1,6,2,4,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,5,2,4]=>[3,1,5,2,6,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,5,4,2]=>[3,1,6,2,5,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,2,1,4,5]=>[4,1,3,2,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,2,1,5,4]=>[4,1,3,2,6,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,2,4,1,5]=>[5,1,3,2,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,2,4,5,1]=>[6,1,3,2,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,2,5,1,4]=>[5,1,3,2,6,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,2,5,4,1]=>[6,1,3,2,5,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,4,1,2,5]=>[4,1,5,2,3,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,4,1,5,2]=>[4,1,6,2,3,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,4,2,1,5]=>[5,1,4,2,3,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,4,2,5,1]=>[6,1,4,2,3,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,4,5,1,2]=>[5,1,6,2,3,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,4,5,2,1]=>[6,1,5,2,3,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,5,1,2,4]=>[4,1,5,2,6,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,5,1,4,2]=>[4,1,6,2,5,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,5,2,1,4]=>[5,1,4,2,6,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,5,2,4,1]=>[6,1,4,2,5,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,5,4,1,2]=>[5,1,6,2,4,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,5,4,2,1]=>[6,1,5,2,4,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,1,2,4,4]=>[3,1,4,5,6,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,4,2,4]=>[3,1,5,4,6,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,4,4,2]=>[3,1,6,4,5,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,2,1,4,4]=>[4,1,3,5,6,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,2,4,1,4]=>[5,1,3,4,6,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,2,4,4,1]=>[6,1,3,4,5,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,4,1,2,4]=>[4,1,5,3,6,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,4,1,4,2]=>[4,1,6,3,5,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,4,2,1,4]=>[5,1,4,3,6,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,4,2,4,1]=>[6,1,4,3,5,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,4,4,1,2]=>[5,1,6,3,4,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,4,4,2,1]=>[6,1,5,3,4,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[4,1,2,2,4,5]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,2,5,4]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,4,2,5]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,4,5,2]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,5,2,4]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,5,4,2]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,2,2,5]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,2,5,2]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,5,2,2]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,2,2,4]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,2,4,2]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,4,2,2]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,2,4,5]=>[3,2,4,1,5,6]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,2,5,4]=>[3,2,4,1,6,5]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,4,2,5]=>[3,2,5,1,4,6]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,4,5,2]=>[3,2,6,1,4,5]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,5,2,4]=>[3,2,5,1,6,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,5,4,2]=>[3,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,2,1,4,5]=>[4,2,3,1,5,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,2,1,5,4]=>[4,2,3,1,6,5]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,2,4,1,5]=>[5,2,3,1,4,6]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,2,4,5,1]=>[6,2,3,1,4,5]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,2,5,1,4]=>[5,2,3,1,6,4]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,2,5,4,1]=>[6,2,3,1,5,4]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,4,1,2,5]=>[4,2,5,1,3,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,4,1,5,2]=>[4,2,6,1,3,5]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,4,2,1,5]=>[5,2,4,1,3,6]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,4,2,5,1]=>[6,2,4,1,3,5]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,4,5,1,2]=>[5,2,6,1,3,4]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,4,5,2,1]=>[6,2,5,1,3,4]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,5,1,2,4]=>[4,2,5,1,6,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,1,4,2]=>[4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,2,1,4]=>[5,2,4,1,6,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,5,2,4,1]=>[6,2,4,1,5,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,5,4,1,2]=>[5,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,5,4,2,1]=>[6,2,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,4,1,2,2,5]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,2,5,2]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,5,2,2]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,2,1,2,5]=>[4,3,5,1,2,6]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,4,2,1,5,2]=>[4,3,6,1,2,5]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,4,2,2,1,5]=>[5,3,4,1,2,6]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,4,2,2,5,1]=>[6,3,4,1,2,5]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[4,4,2,5,1,2]=>[5,3,6,1,2,4]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,4,2,5,2,1]=>[6,3,5,1,2,4]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[4,4,5,1,2,2]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,4,5,2,1,2]=>[5,4,6,1,2,3]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[4,4,5,2,2,1]=>[6,4,5,1,2,3]=>[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[4,5,1,2,2,4]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,2,4,2]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,4,2,2]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,2,1,2,4]=>[4,3,5,1,6,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,2,1,4,2]=>[4,3,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,2,2,1,4]=>[5,3,4,1,6,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,5,2,2,4,1]=>[6,3,4,1,5,2]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[4,5,2,4,1,2]=>[5,3,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,5,2,4,2,1]=>[6,3,5,1,4,2]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[4,5,4,1,2,2]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,4,2,1,2]=>[5,4,6,1,3,2]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[4,5,4,2,2,1]=>[6,4,5,1,3,2]=>[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[5,1,2,2,4,4]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,4,2,4]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,4,4,2]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,2,2,4]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,2,4,2]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,4,2,2]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,2,4,4]=>[3,2,4,5,6,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,4,2,4]=>[3,2,5,4,6,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,4,4,2]=>[3,2,6,4,5,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,2,1,4,4]=>[4,2,3,5,6,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,2,4,1,4]=>[5,2,3,4,6,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,2,4,4,1]=>[6,2,3,4,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,4,1,2,4]=>[4,2,5,3,6,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,4,1,4,2]=>[4,2,6,3,5,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,4,2,1,4]=>[5,2,4,3,6,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,2,4,1]=>[6,2,4,3,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,4,4,1,2]=>[5,2,6,3,4,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,4,2,1]=>[6,2,5,3,4,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,4,1,2,2,4]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,2,4,2]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,4,2,2]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,2,1,2,4]=>[4,3,5,2,6,1]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[5,4,2,1,4,2]=>[4,3,6,2,5,1]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[5,4,2,2,1,4]=>[5,3,4,2,6,1]=>[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,4,2,2,4,1]=>[6,3,4,2,5,1]=>[6,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[5,4,2,4,1,2]=>[5,3,6,2,4,1]=>[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,4,2,4,2,1]=>[6,3,5,2,4,1]=>[6,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[5,4,4,1,2,2]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,4,4,2,1,2]=>[5,4,6,2,3,1]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,4,2,2,1]=>[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,2,2,4,4,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,4,6,4]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,6,4,4]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,2,4,6]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,2,6,4]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,4,2,6]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,4,6,2]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,6,2,4]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,6,4,2]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,2,4,4]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,4,2,4]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,4,4,2]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,2,4,6]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,2,6,4]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,4,2,6]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,4,6,2]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,6,2,4]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,6,4,2]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,2,2,6]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,2,6,2]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,4,6,2,2]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,2,2,4]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,2,4,2]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,4,2,2]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,2,4,4]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,4,2,4]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,4,4,2]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,2,2,4]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,2,4,2]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,4,2,2]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,2,4,4,6]=>[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,4,6,4]=>[2,1,3,4,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,6,4,4]=>[2,1,3,5,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,2,4,6]=>[2,1,4,3,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,2,6,4]=>[2,1,4,3,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,4,2,6]=>[2,1,5,3,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,4,6,2]=>[2,1,6,3,4,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,6,2,4]=>[2,1,5,3,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,6,4,2]=>[2,1,6,3,5,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,2,4,4]=>[2,1,4,5,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,4,2,4]=>[2,1,5,4,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,4,4,2]=>[2,1,6,4,5,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,4,4,6]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,4,6,4]=>[3,1,2,4,6,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,6,4,4]=>[3,1,2,5,6,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,4,1,4,6]=>[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,4,1,6,4]=>[4,1,2,3,6,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,4,4,1,6]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,4,4,6,1]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,4,6,1,4]=>[5,1,2,3,6,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,4,6,4,1]=>[6,1,2,3,5,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,6,1,4,4]=>[4,1,2,5,6,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,6,4,1,4]=>[5,1,2,4,6,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,6,4,4,1]=>[6,1,2,4,5,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,1,2,4,6]=>[3,1,4,2,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,2,6,4]=>[3,1,4,2,6,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,4,2,6]=>[3,1,5,2,4,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,4,6,2]=>[3,1,6,2,4,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,6,2,4]=>[3,1,5,2,6,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,6,4,2]=>[3,1,6,2,5,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,2,1,4,6]=>[4,1,3,2,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,2,1,6,4]=>[4,1,3,2,6,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,2,4,1,6]=>[5,1,3,2,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,2,4,6,1]=>[6,1,3,2,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,2,6,1,4]=>[5,1,3,2,6,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,2,6,4,1]=>[6,1,3,2,5,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,4,1,2,6]=>[4,1,5,2,3,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,4,1,6,2]=>[4,1,6,2,3,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,4,2,1,6]=>[5,1,4,2,3,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,4,2,6,1]=>[6,1,4,2,3,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,4,6,1,2]=>[5,1,6,2,3,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,4,6,2,1]=>[6,1,5,2,3,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,6,1,2,4]=>[4,1,5,2,6,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,6,1,4,2]=>[4,1,6,2,5,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,6,2,1,4]=>[5,1,4,2,6,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,6,2,4,1]=>[6,1,4,2,5,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,6,4,1,2]=>[5,1,6,2,4,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,6,4,2,1]=>[6,1,5,2,4,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,1,2,4,4]=>[3,1,4,5,6,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,4,2,4]=>[3,1,5,4,6,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,4,4,2]=>[3,1,6,4,5,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,2,1,4,4]=>[4,1,3,5,6,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,2,4,1,4]=>[5,1,3,4,6,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,2,4,4,1]=>[6,1,3,4,5,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,4,1,2,4]=>[4,1,5,3,6,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,4,1,4,2]=>[4,1,6,3,5,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,4,2,1,4]=>[5,1,4,3,6,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,4,2,4,1]=>[6,1,4,3,5,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,4,4,1,2]=>[5,1,6,3,4,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,4,4,2,1]=>[6,1,5,3,4,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[4,1,2,2,4,6]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,2,6,4]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,4,2,6]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,4,6,2]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,6,2,4]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,6,4,2]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,2,2,6]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,2,6,2]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,4,6,2,2]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,2,2,4]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,2,4,2]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,4,2,2]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,2,4,6]=>[3,2,4,1,5,6]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,2,6,4]=>[3,2,4,1,6,5]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,4,2,6]=>[3,2,5,1,4,6]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,4,6,2]=>[3,2,6,1,4,5]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,6,2,4]=>[3,2,5,1,6,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,6,4,2]=>[3,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,2,1,4,6]=>[4,2,3,1,5,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,2,1,6,4]=>[4,2,3,1,6,5]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,2,4,1,6]=>[5,2,3,1,4,6]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,2,4,6,1]=>[6,2,3,1,4,5]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,2,6,1,4]=>[5,2,3,1,6,4]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,2,6,4,1]=>[6,2,3,1,5,4]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,4,1,2,6]=>[4,2,5,1,3,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,4,1,6,2]=>[4,2,6,1,3,5]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,4,2,1,6]=>[5,2,4,1,3,6]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,4,2,6,1]=>[6,2,4,1,3,5]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,4,6,1,2]=>[5,2,6,1,3,4]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,4,6,2,1]=>[6,2,5,1,3,4]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,6,1,2,4]=>[4,2,5,1,6,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,1,4,2]=>[4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,2,1,4]=>[5,2,4,1,6,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,6,2,4,1]=>[6,2,4,1,5,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,6,4,1,2]=>[5,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,6,4,2,1]=>[6,2,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,4,1,2,2,6]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,2,6,2]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,1,6,2,2]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,4,2,1,2,6]=>[4,3,5,1,2,6]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,4,2,1,6,2]=>[4,3,6,1,2,5]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,4,2,2,1,6]=>[5,3,4,1,2,6]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,4,2,2,6,1]=>[6,3,4,1,2,5]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[4,4,2,6,1,2]=>[5,3,6,1,2,4]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,4,2,6,2,1]=>[6,3,5,1,2,4]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[4,4,6,1,2,2]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,4,6,2,1,2]=>[5,4,6,1,2,3]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[4,4,6,2,2,1]=>[6,4,5,1,2,3]=>[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[4,6,1,2,2,4]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,2,4,2]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,4,2,2]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,2,1,2,4]=>[4,3,5,1,6,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,2,1,4,2]=>[4,3,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,2,2,1,4]=>[5,3,4,1,6,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,6,2,2,4,1]=>[6,3,4,1,5,2]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[4,6,2,4,1,2]=>[5,3,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,6,2,4,2,1]=>[6,3,5,1,4,2]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[4,6,4,1,2,2]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,4,2,1,2]=>[5,4,6,1,3,2]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[4,6,4,2,2,1]=>[6,4,5,1,3,2]=>[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[6,1,2,2,4,4]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,4,2,4]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,4,4,2]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,2,2,4]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,2,4,2]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,4,2,2]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,1,2,4,4]=>[3,2,4,5,6,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,4,2,4]=>[3,2,5,4,6,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,4,4,2]=>[3,2,6,4,5,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,2,1,4,4]=>[4,2,3,5,6,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,2,4,1,4]=>[5,2,3,4,6,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,2,4,4,1]=>[6,2,3,4,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,1,2,4]=>[4,2,5,3,6,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,4,1,4,2]=>[4,2,6,3,5,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,4,2,1,4]=>[5,2,4,3,6,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,4,2,4,1]=>[6,2,4,3,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,4,1,2]=>[5,2,6,3,4,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,4,4,2,1]=>[6,2,5,3,4,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,4,1,2,2,4]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,2,4,2]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,4,2,2]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,2,1,2,4]=>[4,3,5,2,6,1]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,4,2,1,4,2]=>[4,3,6,2,5,1]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,4,2,2,1,4]=>[5,3,4,2,6,1]=>[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,4,2,2,4,1]=>[6,3,4,2,5,1]=>[6,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,4,2,4,1,2]=>[5,3,6,2,4,1]=>[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,4,2,4,2,1]=>[6,3,5,2,4,1]=>[6,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,4,4,1,2,2]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,4,4,2,1,2]=>[5,4,6,2,3,1]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[6,4,4,2,2,1]=>[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,2,2,4,5,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,5,4,5]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,5,5,4]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,2,5,5]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,5,2,5]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,5,5,2]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,2,4,5]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,2,5,4]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,4,2,5]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,4,5,2]=>[1,2,6,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,5,2,4]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,5,4,2]=>[1,2,6,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,2,5,5]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,5,2,5]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,5,5,2]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,2,2,5]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,2,5,2]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,5,2,2]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,2,4,5]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,2,5,4]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,4,2,5]=>[1,3,5,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,4,5,2]=>[1,3,6,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,5,2,4]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,5,4,2]=>[1,3,6,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,2,2,5]=>[1,4,5,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,2,5,2]=>[1,4,6,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,5,2,2]=>[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,2,2,4]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,2,4,2]=>[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,5,4,2,2]=>[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,2,4,5,5]=>[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,5,4,5]=>[2,1,3,5,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,5,5,4]=>[2,1,3,6,4,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,2,5,5]=>[2,1,4,3,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,5,2,5]=>[2,1,5,3,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,5,5,2]=>[2,1,6,3,4,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,2,4,5]=>[2,1,4,5,3,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,2,5,4]=>[2,1,4,6,3,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,4,2,5]=>[2,1,5,4,3,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,4,5,2]=>[2,1,6,4,3,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,5,2,4]=>[2,1,5,6,3,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,5,4,2]=>[2,1,6,5,3,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,4,5,5]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,5,4,5]=>[3,1,2,5,4,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,5,5,4]=>[3,1,2,6,4,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,4,1,5,5]=>[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,4,5,1,5]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,4,5,5,1]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,5,1,4,5]=>[4,1,2,5,3,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,5,1,5,4]=>[4,1,2,6,3,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,5,4,1,5]=>[5,1,2,4,3,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,5,4,5,1]=>[6,1,2,4,3,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,5,5,1,4]=>[5,1,2,6,3,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,5,5,4,1]=>[6,1,2,5,3,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,1,2,5,5]=>[3,1,4,2,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,5,2,5]=>[3,1,5,2,4,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,5,5,2]=>[3,1,6,2,4,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,2,1,5,5]=>[4,1,3,2,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,2,5,1,5]=>[5,1,3,2,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,2,5,5,1]=>[6,1,3,2,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,5,1,2,5]=>[4,1,5,2,3,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,5,1,5,2]=>[4,1,6,2,3,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,5,2,1,5]=>[5,1,4,2,3,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,5,2,5,1]=>[6,1,4,2,3,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,5,5,1,2]=>[5,1,6,2,3,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,5,5,2,1]=>[6,1,5,2,3,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,1,2,4,5]=>[3,1,4,5,2,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,2,5,4]=>[3,1,4,6,2,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,4,2,5]=>[3,1,5,4,2,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,4,5,2]=>[3,1,6,4,2,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,5,2,4]=>[3,1,5,6,2,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,5,4,2]=>[3,1,6,5,2,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,2,1,4,5]=>[4,1,3,5,2,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,2,1,5,4]=>[4,1,3,6,2,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,2,4,1,5]=>[5,1,3,4,2,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,2,4,5,1]=>[6,1,3,4,2,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,2,5,1,4]=>[5,1,3,6,2,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,2,5,4,1]=>[6,1,3,5,2,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,4,1,2,5]=>[4,1,5,3,2,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,4,1,5,2]=>[4,1,6,3,2,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,4,2,1,5]=>[5,1,4,3,2,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,4,2,5,1]=>[6,1,4,3,2,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,4,5,1,2]=>[5,1,6,3,2,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,4,5,2,1]=>[6,1,5,3,2,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,5,1,2,4]=>[4,1,5,6,2,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,5,1,4,2]=>[4,1,6,5,2,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,5,2,1,4]=>[5,1,4,6,2,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,5,2,4,1]=>[6,1,4,5,2,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,5,4,1,2]=>[5,1,6,4,2,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,5,4,2,1]=>[6,1,5,4,2,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[4,1,2,2,5,5]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,5,2,5]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,5,5,2]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,2,2,5]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,2,5,2]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,5,2,2]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,2,5,5]=>[3,2,4,1,5,6]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,5,2,5]=>[3,2,5,1,4,6]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,5,5,2]=>[3,2,6,1,4,5]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,2,1,5,5]=>[4,2,3,1,5,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,2,5,1,5]=>[5,2,3,1,4,6]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,2,5,5,1]=>[6,2,3,1,4,5]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,5,1,2,5]=>[4,2,5,1,3,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,1,5,2]=>[4,2,6,1,3,5]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,2,1,5]=>[5,2,4,1,3,6]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,5,2,5,1]=>[6,2,4,1,3,5]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,5,5,1,2]=>[5,2,6,1,3,4]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,5,5,2,1]=>[6,2,5,1,3,4]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,5,1,2,2,5]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,2,5,2]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,5,2,2]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,2,1,2,5]=>[4,3,5,1,2,6]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,2,1,5,2]=>[4,3,6,1,2,5]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,2,2,1,5]=>[5,3,4,1,2,6]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,5,2,2,5,1]=>[6,3,4,1,2,5]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[4,5,2,5,1,2]=>[5,3,6,1,2,4]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,5,2,5,2,1]=>[6,3,5,1,2,4]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[4,5,5,1,2,2]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,5,2,1,2]=>[5,4,6,1,2,3]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[4,5,5,2,2,1]=>[6,4,5,1,2,3]=>[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[5,1,2,2,4,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,2,5,4]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,4,2,5]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,4,5,2]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,5,2,4]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,5,4,2]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,2,2,5]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,2,5,2]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,5,2,2]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,2,2,4]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,2,4,2]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,5,4,2,2]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,2,4,5]=>[3,2,4,5,1,6]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,2,5,4]=>[3,2,4,6,1,5]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,4,2,5]=>[3,2,5,4,1,6]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,4,5,2]=>[3,2,6,4,1,5]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,5,2,4]=>[3,2,5,6,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,5,4,2]=>[3,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,2,1,4,5]=>[4,2,3,5,1,6]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,2,1,5,4]=>[4,2,3,6,1,5]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,2,4,1,5]=>[5,2,3,4,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,2,4,5,1]=>[6,2,3,4,1,5]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,2,5,1,4]=>[5,2,3,6,1,4]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,2,5,4,1]=>[6,2,3,5,1,4]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,4,1,2,5]=>[4,2,5,3,1,6]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,4,1,5,2]=>[4,2,6,3,1,5]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,4,2,1,5]=>[5,2,4,3,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,2,5,1]=>[6,2,4,3,1,5]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,4,5,1,2]=>[5,2,6,3,1,4]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,5,2,1]=>[6,2,5,3,1,4]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,5,1,2,4]=>[4,2,5,6,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,5,1,4,2]=>[4,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,5,2,1,4]=>[5,2,4,6,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,5,2,4,1]=>[6,2,4,5,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,5,4,1,2]=>[5,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,5,4,2,1]=>[6,2,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[5,4,1,2,2,5]=>[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,2,5,2]=>[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,5,2,2]=>[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,2,1,2,5]=>[4,3,5,2,1,6]=>[4,3,6,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[5,4,2,1,5,2]=>[4,3,6,2,1,5]=>[4,3,6,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[5,4,2,2,1,5]=>[5,3,4,2,1,6]=>[5,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,4,2,2,5,1]=>[6,3,4,2,1,5]=>[6,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],.]
[5,4,2,5,1,2]=>[5,3,6,2,1,4]=>[5,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,4,2,5,2,1]=>[6,3,5,2,1,4]=>[6,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],.]
[5,4,5,1,2,2]=>[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,4,5,2,1,2]=>[5,4,6,2,1,3]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,5,2,2,1]=>[6,4,5,2,1,3]=>[6,4,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],.]
[5,5,1,2,2,4]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,1,2,4,2]=>[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,1,4,2,2]=>[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,5,2,1,2,4]=>[4,3,5,6,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,5,2,1,4,2]=>[4,3,6,5,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,5,2,2,1,4]=>[5,3,4,6,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,5,2,2,4,1]=>[6,3,4,5,1,2]=>[6,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],.]
[5,5,2,4,1,2]=>[5,3,6,4,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,5,2,4,2,1]=>[6,3,5,4,1,2]=>[6,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],.]
[5,5,4,1,2,2]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,5,4,2,1,2]=>[5,4,6,3,1,2]=>[5,4,6,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,5,4,2,2,1]=>[6,4,5,3,1,2]=>[6,4,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],.]
[1,2,2,4,5,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,4,6,5]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,5,4,6]=>[1,2,3,5,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,5,6,4]=>[1,2,3,6,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,6,4,5]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,2,6,5,4]=>[1,2,3,6,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,2,5,6]=>[1,2,4,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,2,6,5]=>[1,2,4,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,5,2,6]=>[1,2,5,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,5,6,2]=>[1,2,6,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,6,2,5]=>[1,2,5,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,6,5,2]=>[1,2,6,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,2,4,6]=>[1,2,4,5,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,2,6,4]=>[1,2,4,6,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,4,2,6]=>[1,2,5,4,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,4,6,2]=>[1,2,6,4,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,6,2,4]=>[1,2,5,6,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,6,4,2]=>[1,2,6,5,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,2,4,5]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,2,5,4]=>[1,2,4,6,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,4,2,5]=>[1,2,5,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,4,5,2]=>[1,2,6,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,5,2,4]=>[1,2,5,6,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,5,4,2]=>[1,2,6,5,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,2,5,6]=>[1,3,4,2,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,2,6,5]=>[1,3,4,2,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,5,2,6]=>[1,3,5,2,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,5,6,2]=>[1,3,6,2,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,6,2,5]=>[1,3,5,2,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,6,5,2]=>[1,3,6,2,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,2,2,6]=>[1,4,5,2,3,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,2,6,2]=>[1,4,6,2,3,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,5,6,2,2]=>[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,2,2,5]=>[1,4,5,2,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,2,5,2]=>[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,6,5,2,2]=>[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,2,4,6]=>[1,3,4,5,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,2,6,4]=>[1,3,4,6,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,4,2,6]=>[1,3,5,4,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,4,6,2]=>[1,3,6,4,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,6,2,4]=>[1,3,5,6,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,6,4,2]=>[1,3,6,5,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,2,2,6]=>[1,4,5,3,2,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,2,6,2]=>[1,4,6,3,2,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,4,6,2,2]=>[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,6,2,2,4]=>[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,6,2,4,2]=>[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,6,4,2,2]=>[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,2,4,5]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,2,5,4]=>[1,3,4,6,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,4,2,5]=>[1,3,5,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,4,5,2]=>[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,5,2,4]=>[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,5,4,2]=>[1,3,6,5,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,2,2,5]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,2,5,2]=>[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,4,5,2,2]=>[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,5,2,2,4]=>[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,5,2,4,2]=>[1,4,6,5,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,5,4,2,2]=>[1,5,6,4,3,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,2,4,5,6]=>[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,4,6,5]=>[2,1,3,4,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,5,4,6]=>[2,1,3,5,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,5,6,4]=>[2,1,3,6,4,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,6,4,5]=>[2,1,3,5,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,2,6,5,4]=>[2,1,3,6,5,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,2,5,6]=>[2,1,4,3,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,2,6,5]=>[2,1,4,3,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,5,2,6]=>[2,1,5,3,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,5,6,2]=>[2,1,6,3,4,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,6,2,5]=>[2,1,5,3,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,6,5,2]=>[2,1,6,3,5,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,2,4,6]=>[2,1,4,5,3,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,2,6,4]=>[2,1,4,6,3,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,4,2,6]=>[2,1,5,4,3,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,4,6,2]=>[2,1,6,4,3,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,6,2,4]=>[2,1,5,6,3,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,6,4,2]=>[2,1,6,5,3,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,2,4,5]=>[2,1,4,5,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,2,5,4]=>[2,1,4,6,5,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,4,2,5]=>[2,1,5,4,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,4,5,2]=>[2,1,6,4,5,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,5,2,4]=>[2,1,5,6,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,5,4,2]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,2,1,4,5,6]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,4,6,5]=>[3,1,2,4,6,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,5,4,6]=>[3,1,2,5,4,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,5,6,4]=>[3,1,2,6,4,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,6,4,5]=>[3,1,2,5,6,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,1,6,5,4]=>[3,1,2,6,5,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,2,4,1,5,6]=>[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,4,1,6,5]=>[4,1,2,3,6,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,4,5,1,6]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,4,5,6,1]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,4,6,1,5]=>[5,1,2,3,6,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,4,6,5,1]=>[6,1,2,3,5,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,5,1,4,6]=>[4,1,2,5,3,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,5,1,6,4]=>[4,1,2,6,3,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,5,4,1,6]=>[5,1,2,4,3,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,5,4,6,1]=>[6,1,2,4,3,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,5,6,1,4]=>[5,1,2,6,3,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,5,6,4,1]=>[6,1,2,5,3,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,6,1,4,5]=>[4,1,2,5,6,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,6,1,5,4]=>[4,1,2,6,5,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,2,6,4,1,5]=>[5,1,2,4,6,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,6,4,5,1]=>[6,1,2,4,5,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,2,6,5,1,4]=>[5,1,2,6,4,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,2,6,5,4,1]=>[6,1,2,5,4,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,1,2,5,6]=>[3,1,4,2,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,2,6,5]=>[3,1,4,2,6,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,5,2,6]=>[3,1,5,2,4,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,5,6,2]=>[3,1,6,2,4,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,6,2,5]=>[3,1,5,2,6,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,1,6,5,2]=>[3,1,6,2,5,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,2,1,5,6]=>[4,1,3,2,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,2,1,6,5]=>[4,1,3,2,6,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,2,5,1,6]=>[5,1,3,2,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,2,5,6,1]=>[6,1,3,2,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,2,6,1,5]=>[5,1,3,2,6,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,2,6,5,1]=>[6,1,3,2,5,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,5,1,2,6]=>[4,1,5,2,3,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,5,1,6,2]=>[4,1,6,2,3,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,5,2,1,6]=>[5,1,4,2,3,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,5,2,6,1]=>[6,1,4,2,3,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,5,6,1,2]=>[5,1,6,2,3,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,5,6,2,1]=>[6,1,5,2,3,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,6,1,2,5]=>[4,1,5,2,6,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,6,1,5,2]=>[4,1,6,2,5,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,6,2,1,5]=>[5,1,4,2,6,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,6,2,5,1]=>[6,1,4,2,5,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,6,5,1,2]=>[5,1,6,2,4,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,6,5,2,1]=>[6,1,5,2,4,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,1,2,4,6]=>[3,1,4,5,2,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,2,6,4]=>[3,1,4,6,2,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,4,2,6]=>[3,1,5,4,2,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,4,6,2]=>[3,1,6,4,2,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,6,2,4]=>[3,1,5,6,2,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,1,6,4,2]=>[3,1,6,5,2,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,2,1,4,6]=>[4,1,3,5,2,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,2,1,6,4]=>[4,1,3,6,2,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,2,4,1,6]=>[5,1,3,4,2,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,2,4,6,1]=>[6,1,3,4,2,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,2,6,1,4]=>[5,1,3,6,2,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,2,6,4,1]=>[6,1,3,5,2,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,4,1,2,6]=>[4,1,5,3,2,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,4,1,6,2]=>[4,1,6,3,2,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,4,2,1,6]=>[5,1,4,3,2,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,4,2,6,1]=>[6,1,4,3,2,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,4,6,1,2]=>[5,1,6,3,2,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,4,6,2,1]=>[6,1,5,3,2,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,6,1,2,4]=>[4,1,5,6,2,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,6,1,4,2]=>[4,1,6,5,2,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,6,2,1,4]=>[5,1,4,6,2,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,6,2,4,1]=>[6,1,4,5,2,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,6,4,1,2]=>[5,1,6,4,2,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,6,4,2,1]=>[6,1,5,4,2,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,1,2,4,5]=>[3,1,4,5,6,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,2,5,4]=>[3,1,4,6,5,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,4,2,5]=>[3,1,5,4,6,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,4,5,2]=>[3,1,6,4,5,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,5,2,4]=>[3,1,5,6,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,1,5,4,2]=>[3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,2,1,4,5]=>[4,1,3,5,6,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,2,1,5,4]=>[4,1,3,6,5,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,2,4,1,5]=>[5,1,3,4,6,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,2,4,5,1]=>[6,1,3,4,5,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,2,5,1,4]=>[5,1,3,6,4,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,2,5,4,1]=>[6,1,3,5,4,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,4,1,2,5]=>[4,1,5,3,6,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,4,1,5,2]=>[4,1,6,3,5,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,4,2,1,5]=>[5,1,4,3,6,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,4,2,5,1]=>[6,1,4,3,5,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,4,5,1,2]=>[5,1,6,3,4,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,4,5,2,1]=>[6,1,5,3,4,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,5,1,2,4]=>[4,1,5,6,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,5,1,4,2]=>[4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,5,2,1,4]=>[5,1,4,6,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,5,2,4,1]=>[6,1,4,5,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,5,4,1,2]=>[5,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,5,4,2,1]=>[6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[4,1,2,2,5,6]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,2,6,5]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,5,2,6]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,5,6,2]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,6,2,5]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,6,5,2]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,2,2,6]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,2,6,2]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,6,2,2]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,2,2,5]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,2,5,2]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,5,2,2]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,2,5,6]=>[3,2,4,1,5,6]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,2,6,5]=>[3,2,4,1,6,5]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,5,2,6]=>[3,2,5,1,4,6]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,5,6,2]=>[3,2,6,1,4,5]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,6,2,5]=>[3,2,5,1,6,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,1,6,5,2]=>[3,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,2,1,5,6]=>[4,2,3,1,5,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,2,1,6,5]=>[4,2,3,1,6,5]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,2,5,1,6]=>[5,2,3,1,4,6]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,2,5,6,1]=>[6,2,3,1,4,5]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,2,6,1,5]=>[5,2,3,1,6,4]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,2,6,5,1]=>[6,2,3,1,5,4]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,5,1,2,6]=>[4,2,5,1,3,6]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,1,6,2]=>[4,2,6,1,3,5]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,5,2,1,6]=>[5,2,4,1,3,6]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,5,2,6,1]=>[6,2,4,1,3,5]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,5,6,1,2]=>[5,2,6,1,3,4]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,5,6,2,1]=>[6,2,5,1,3,4]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,6,1,2,5]=>[4,2,5,1,6,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,1,5,2]=>[4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,6,2,1,5]=>[5,2,4,1,6,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,6,2,5,1]=>[6,2,4,1,5,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,6,5,1,2]=>[5,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,6,5,2,1]=>[6,2,5,1,4,3]=>[6,2,5,1,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[4,5,1,2,2,6]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,2,6,2]=>[3,4,6,1,2,5]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,1,6,2,2]=>[3,5,6,1,2,4]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,5,2,1,2,6]=>[4,3,5,1,2,6]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,2,1,6,2]=>[4,3,6,1,2,5]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,5,2,2,1,6]=>[5,3,4,1,2,6]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,5,2,2,6,1]=>[6,3,4,1,2,5]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[4,5,2,6,1,2]=>[5,3,6,1,2,4]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,5,2,6,2,1]=>[6,3,5,1,2,4]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[4,5,6,1,2,2]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,5,6,2,1,2]=>[5,4,6,1,2,3]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[4,5,6,2,2,1]=>[6,4,5,1,2,3]=>[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[4,6,1,2,2,5]=>[3,4,5,1,6,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,2,5,2]=>[3,4,6,1,5,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,1,5,2,2]=>[3,5,6,1,4,2]=>[3,6,5,1,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[4,6,2,1,2,5]=>[4,3,5,1,6,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,2,1,5,2]=>[4,3,6,1,5,2]=>[4,3,6,1,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[4,6,2,2,1,5]=>[5,3,4,1,6,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,6,2,2,5,1]=>[6,3,4,1,5,2]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[4,6,2,5,1,2]=>[5,3,6,1,4,2]=>[5,3,6,1,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[4,6,2,5,2,1]=>[6,3,5,1,4,2]=>[6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[4,6,5,1,2,2]=>[4,5,6,1,3,2]=>[4,6,5,1,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[4,6,5,2,1,2]=>[5,4,6,1,3,2]=>[5,4,6,1,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[4,6,5,2,2,1]=>[6,4,5,1,3,2]=>[6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[5,1,2,2,4,6]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,2,6,4]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,4,2,6]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,4,6,2]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,6,2,4]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,6,4,2]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,2,2,6]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,2,6,2]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,6,2,2]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,2,2,4]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,2,4,2]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,4,2,2]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,2,4,6]=>[3,2,4,5,1,6]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,2,6,4]=>[3,2,4,6,1,5]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,4,2,6]=>[3,2,5,4,1,6]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,4,6,2]=>[3,2,6,4,1,5]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,6,2,4]=>[3,2,5,6,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,1,6,4,2]=>[3,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,2,1,4,6]=>[4,2,3,5,1,6]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,2,1,6,4]=>[4,2,3,6,1,5]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,2,4,1,6]=>[5,2,3,4,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,2,4,6,1]=>[6,2,3,4,1,5]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,2,6,1,4]=>[5,2,3,6,1,4]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,2,6,4,1]=>[6,2,3,5,1,4]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,4,1,2,6]=>[4,2,5,3,1,6]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,4,1,6,2]=>[4,2,6,3,1,5]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,4,2,1,6]=>[5,2,4,3,1,6]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,2,6,1]=>[6,2,4,3,1,5]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,4,6,1,2]=>[5,2,6,3,1,4]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,4,6,2,1]=>[6,2,5,3,1,4]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,6,1,2,4]=>[4,2,5,6,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,6,1,4,2]=>[4,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,6,2,1,4]=>[5,2,4,6,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,2,4,1]=>[6,2,4,5,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[5,2,6,4,1,2]=>[5,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,6,4,2,1]=>[6,2,5,4,1,3]=>[6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]
[5,4,1,2,2,6]=>[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,2,6,2]=>[3,4,6,2,1,5]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,1,6,2,2]=>[3,5,6,2,1,4]=>[3,6,5,2,1,4]=>[[[.,.],.],[[[.,.],.],.]]
[5,4,2,1,2,6]=>[4,3,5,2,1,6]=>[4,3,6,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[5,4,2,1,6,2]=>[4,3,6,2,1,5]=>[4,3,6,2,1,5]=>[[[[.,.],.],.],[[.,.],.]]
[5,4,2,2,1,6]=>[5,3,4,2,1,6]=>[5,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,4,2,2,6,1]=>[6,3,4,2,1,5]=>[6,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],.]
[5,4,2,6,1,2]=>[5,3,6,2,1,4]=>[5,3,6,2,1,4]=>[[[[.,.],.],[.,.]],[.,.]]
[5,4,2,6,2,1]=>[6,3,5,2,1,4]=>[6,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],.]
[5,4,6,1,2,2]=>[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[[[.,.],[.,.]],[[.,.],.]]
[5,4,6,2,1,2]=>[5,4,6,2,1,3]=>[5,4,6,2,1,3]=>[[[[.,.],[.,.]],.],[.,.]]
[5,4,6,2,2,1]=>[6,4,5,2,1,3]=>[6,4,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],.]
[5,6,1,2,2,4]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,1,2,4,2]=>[3,4,6,5,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,1,4,2,2]=>[3,5,6,4,1,2]=>[3,6,5,4,1,2]=>[[.,[.,.]],[[[.,.],.],.]]
[5,6,2,1,2,4]=>[4,3,5,6,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,2,1,4,2]=>[4,3,6,5,1,2]=>[4,3,6,5,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,2,2,1,4]=>[5,3,4,6,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,6,2,2,4,1]=>[6,3,4,5,1,2]=>[6,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],.]
[5,6,2,4,1,2]=>[5,3,6,4,1,2]=>[5,3,6,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[5,6,2,4,2,1]=>[6,3,5,4,1,2]=>[6,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],.]
[5,6,4,1,2,2]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[[[.,[.,.]],.],[[.,.],.]]
[5,6,4,2,1,2]=>[5,4,6,3,1,2]=>[5,4,6,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[5,6,4,2,2,1]=>[6,4,5,3,1,2]=>[6,4,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],.]
[6,1,2,2,4,5]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,2,5,4]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,4,2,5]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,4,5,2]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,5,2,4]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,5,4,2]=>[2,3,6,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,2,2,5]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,2,5,2]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,5,2,2]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,2,2,4]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,2,4,2]=>[2,4,6,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,4,2,2]=>[2,5,6,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,1,2,4,5]=>[3,2,4,5,6,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,2,5,4]=>[3,2,4,6,5,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,4,2,5]=>[3,2,5,4,6,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,4,5,2]=>[3,2,6,4,5,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,5,2,4]=>[3,2,5,6,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,1,5,4,2]=>[3,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,2,2,1,4,5]=>[4,2,3,5,6,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,2,1,5,4]=>[4,2,3,6,5,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,2,4,1,5]=>[5,2,3,4,6,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,2,4,5,1]=>[6,2,3,4,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,2,5,1,4]=>[5,2,3,6,4,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,2,5,4,1]=>[6,2,3,5,4,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,1,2,5]=>[4,2,5,3,6,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,4,1,5,2]=>[4,2,6,3,5,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,4,2,1,5]=>[5,2,4,3,6,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,4,2,5,1]=>[6,2,4,3,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,4,5,1,2]=>[5,2,6,3,4,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,4,5,2,1]=>[6,2,5,3,4,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,1,2,4]=>[4,2,5,6,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,5,1,4,2]=>[4,2,6,5,3,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,2,5,2,1,4]=>[5,2,4,6,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,5,2,4,1]=>[6,2,4,5,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,2,5,4,1,2]=>[5,2,6,4,3,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[6,2,5,4,2,1]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[6,4,1,2,2,5]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,2,5,2]=>[3,4,6,2,5,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,1,5,2,2]=>[3,5,6,2,4,1]=>[3,6,5,2,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,4,2,1,2,5]=>[4,3,5,2,6,1]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,4,2,1,5,2]=>[4,3,6,2,5,1]=>[4,3,6,2,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,4,2,2,1,5]=>[5,3,4,2,6,1]=>[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,4,2,2,5,1]=>[6,3,4,2,5,1]=>[6,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,4,2,5,1,2]=>[5,3,6,2,4,1]=>[5,3,6,2,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,4,2,5,2,1]=>[6,3,5,2,4,1]=>[6,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,4,5,1,2,2]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[6,4,5,2,1,2]=>[5,4,6,2,3,1]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[6,4,5,2,2,1]=>[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[6,5,1,2,2,4]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,1,2,4,2]=>[3,4,6,5,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,1,4,2,2]=>[3,5,6,4,2,1]=>[3,6,5,4,2,1]=>[[[.,.],.],[[[.,.],.],.]]
[6,5,2,1,2,4]=>[4,3,5,6,2,1]=>[4,3,6,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,5,2,1,4,2]=>[4,3,6,5,2,1]=>[4,3,6,5,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,5,2,2,1,4]=>[5,3,4,6,2,1]=>[5,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,5,2,2,4,1]=>[6,3,4,5,2,1]=>[6,3,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,5,2,4,1,2]=>[5,3,6,4,2,1]=>[5,3,6,4,2,1]=>[[[[.,.],.],[.,.]],[.,.]]
[6,5,2,4,2,1]=>[6,3,5,4,2,1]=>[6,3,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],.]
[6,5,4,1,2,2]=>[4,5,6,3,2,1]=>[4,6,5,3,2,1]=>[[[[.,.],.],.],[[.,.],.]]
[6,5,4,2,1,2]=>[5,4,6,3,2,1]=>[5,4,6,3,2,1]=>[[[[[.,.],.],.],.],[.,.]]
[6,5,4,2,2,1]=>[6,4,5,3,2,1]=>[6,4,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,2,3,3,3,3]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,3,3,3]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,2,3,3]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,3,2,3]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,3,3,2]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,3,3,3,3]=>[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,3,3,3]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,3,1,3,3]=>[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,3,3,1,3]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,3,3,3,1]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[3,1,2,3,3,3]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,2,3,3]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,3,2,3]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,3,3,2]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,3,3,3]=>[3,2,1,4,5,6]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,3,1,3,3]=>[4,2,1,3,5,6]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,3,3,1,3]=>[5,2,1,3,4,6]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,3,3,3,1]=>[6,2,1,3,4,5]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,3,1,2,3,3]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,3,2,3]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,3,3,2]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,2,1,3,3]=>[4,3,1,2,5,6]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,3,2,3,1,3]=>[5,3,1,2,4,6]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,3,2,3,3,1]=>[6,3,1,2,4,5]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,3,3,1,2,3]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,3,1,3,2]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,3,2,1,3]=>[5,4,1,2,3,6]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[3,3,3,2,3,1]=>[6,4,1,2,3,5]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[3,3,3,3,1,2]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,3,3,3,2,1]=>[6,5,1,2,3,4]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
[1,2,3,3,3,4]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,3,4,3]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,4,3,3]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,4,3,3,3]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,3,3,4]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,3,4,3]=>[1,3,2,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,4,3,3]=>[1,3,2,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,2,3,4]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,2,4,3]=>[1,4,2,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,3,2,4]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,3,4,2]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,4,2,3]=>[1,5,2,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,4,3,2]=>[1,6,2,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,2,3,3]=>[1,4,2,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,3,2,3]=>[1,5,2,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,4,3,3,2]=>[1,6,2,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,2,3,3,3]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,2,3,3]=>[1,4,3,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,3,2,3]=>[1,5,3,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,4,3,3,3,2]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,3,3,3,4]=>[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,3,4,3]=>[2,1,3,4,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,4,3,3]=>[2,1,3,5,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,3,3,3]=>[2,1,4,5,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,3,3,4]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,3,4,3]=>[3,1,2,4,6,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,4,3,3]=>[3,1,2,5,6,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,3,1,3,4]=>[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,3,1,4,3]=>[4,1,2,3,6,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,3,3,1,4]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,3,3,4,1]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,3,4,1,3]=>[5,1,2,3,6,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,3,4,3,1]=>[6,1,2,3,5,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,4,1,3,3]=>[4,1,2,5,6,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,4,3,1,3]=>[5,1,2,4,6,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,4,3,3,1]=>[6,1,2,4,5,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,4,1,3,3,3]=>[3,1,4,5,6,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,4,3,1,3,3]=>[4,1,3,5,6,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,4,3,3,1,3]=>[5,1,3,4,6,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,4,3,3,3,1]=>[6,1,3,4,5,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[3,1,2,3,3,4]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,3,4,3]=>[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,4,3,3]=>[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,2,3,4]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,2,4,3]=>[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,3,2,4]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,3,4,2]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,4,2,3]=>[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,4,3,2]=>[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,2,3,3]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,3,2,3]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,3,3,2]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,3,3,4]=>[3,2,1,4,5,6]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,3,4,3]=>[3,2,1,4,6,5]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,4,3,3]=>[3,2,1,5,6,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,3,1,3,4]=>[4,2,1,3,5,6]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,3,1,4,3]=>[4,2,1,3,6,5]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,3,3,1,4]=>[5,2,1,3,4,6]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,3,3,4,1]=>[6,2,1,3,4,5]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,3,4,1,3]=>[5,2,1,3,6,4]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,3,4,3,1]=>[6,2,1,3,5,4]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,4,1,3,3]=>[4,2,1,5,6,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,4,3,1,3]=>[5,2,1,4,6,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,4,3,3,1]=>[6,2,1,4,5,3]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,3,1,2,3,4]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,2,4,3]=>[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,3,2,4]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,3,4,2]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,4,2,3]=>[3,5,1,2,6,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,4,3,2]=>[3,6,1,2,5,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,2,1,3,4]=>[4,3,1,2,5,6]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,3,2,1,4,3]=>[4,3,1,2,6,5]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,3,2,3,1,4]=>[5,3,1,2,4,6]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,3,2,3,4,1]=>[6,3,1,2,4,5]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,3,2,4,1,3]=>[5,3,1,2,6,4]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,3,2,4,3,1]=>[6,3,1,2,5,4]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,3,3,1,2,4]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,3,1,4,2]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,3,2,1,4]=>[5,4,1,2,3,6]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[3,3,3,2,4,1]=>[6,4,1,2,3,5]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[3,3,3,4,1,2]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,3,3,4,2,1]=>[6,5,1,2,3,4]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
[3,3,4,1,2,3]=>[4,5,1,2,6,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,4,1,3,2]=>[4,6,1,2,5,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,4,2,1,3]=>[5,4,1,2,6,3]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[3,3,4,2,3,1]=>[6,4,1,2,5,3]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[3,3,4,3,1,2]=>[5,6,1,2,4,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,3,4,3,2,1]=>[6,5,1,2,4,3]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
[3,4,1,2,3,3]=>[3,4,1,5,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,3,2,3]=>[3,5,1,4,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,1,3,3,2]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,4,2,1,3,3]=>[4,3,1,5,6,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,4,2,3,1,3]=>[5,3,1,4,6,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,4,2,3,3,1]=>[6,3,1,4,5,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,4,3,1,2,3]=>[4,5,1,3,6,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,3,1,3,2]=>[4,6,1,3,5,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,4,3,2,1,3]=>[5,4,1,3,6,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[3,4,3,2,3,1]=>[6,4,1,3,5,2]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[3,4,3,3,1,2]=>[5,6,1,3,4,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,4,3,3,2,1]=>[6,5,1,3,4,2]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
[4,1,2,3,3,3]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,2,3,3]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,3,2,3]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,3,3,2]=>[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,3,3,3]=>[3,2,4,5,6,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,2,3,1,3,3]=>[4,2,3,5,6,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,2,3,3,1,3]=>[5,2,3,4,6,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[4,2,3,3,3,1]=>[6,2,3,4,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[4,3,1,2,3,3]=>[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,3,2,3]=>[3,5,2,4,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,1,3,3,2]=>[3,6,2,4,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[4,3,2,1,3,3]=>[4,3,2,5,6,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[4,3,2,3,1,3]=>[5,3,2,4,6,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[4,3,2,3,3,1]=>[6,3,2,4,5,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[4,3,3,1,2,3]=>[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,3,1,3,2]=>[4,6,2,3,5,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[4,3,3,2,1,3]=>[5,4,2,3,6,1]=>[5,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[4,3,3,2,3,1]=>[6,4,2,3,5,1]=>[6,4,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[4,3,3,3,1,2]=>[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[4,3,3,3,2,1]=>[6,5,2,3,4,1]=>[6,5,2,4,3,1]=>[[[[.,.],[[.,.],.]],.],.]
[1,2,3,3,3,5]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,3,5,3]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,5,3,3]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,5,3,3,3]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,3,3,5]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,3,5,3]=>[1,3,2,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,5,3,3]=>[1,3,2,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,2,3,5]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,2,5,3]=>[1,4,2,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,3,2,5]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,3,5,2]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,5,2,3]=>[1,5,2,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,5,3,2]=>[1,6,2,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,2,3,3]=>[1,4,2,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,3,2,3]=>[1,5,2,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,5,3,3,2]=>[1,6,2,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,2,3,3,3]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,2,3,3]=>[1,4,3,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,3,2,3]=>[1,5,3,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,5,3,3,3,2]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,3,3,3,5]=>[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,3,5,3]=>[2,1,3,4,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,5,3,3]=>[2,1,3,5,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,3,3,3]=>[2,1,4,5,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,3,3,5]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,3,5,3]=>[3,1,2,4,6,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,5,3,3]=>[3,1,2,5,6,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,3,1,3,5]=>[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,3,1,5,3]=>[4,1,2,3,6,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,3,3,1,5]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,3,3,5,1]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,3,5,1,3]=>[5,1,2,3,6,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,3,5,3,1]=>[6,1,2,3,5,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,5,1,3,3]=>[4,1,2,5,6,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,5,3,1,3]=>[5,1,2,4,6,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,5,3,3,1]=>[6,1,2,4,5,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,5,1,3,3,3]=>[3,1,4,5,6,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,5,3,1,3,3]=>[4,1,3,5,6,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,5,3,3,1,3]=>[5,1,3,4,6,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,5,3,3,3,1]=>[6,1,3,4,5,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[3,1,2,3,3,5]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,3,5,3]=>[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,5,3,3]=>[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,2,3,5]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,2,5,3]=>[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,3,2,5]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,3,5,2]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,5,2,3]=>[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,5,3,2]=>[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,2,3,3]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,3,2,3]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,3,3,2]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,3,3,5]=>[3,2,1,4,5,6]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,3,5,3]=>[3,2,1,4,6,5]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,5,3,3]=>[3,2,1,5,6,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,3,1,3,5]=>[4,2,1,3,5,6]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,3,1,5,3]=>[4,2,1,3,6,5]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,3,3,1,5]=>[5,2,1,3,4,6]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,3,3,5,1]=>[6,2,1,3,4,5]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,3,5,1,3]=>[5,2,1,3,6,4]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,3,5,3,1]=>[6,2,1,3,5,4]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,5,1,3,3]=>[4,2,1,5,6,3]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,5,3,1,3]=>[5,2,1,4,6,3]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,5,3,3,1]=>[6,2,1,4,5,3]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,3,1,2,3,5]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,2,5,3]=>[3,4,1,2,6,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,3,2,5]=>[3,5,1,2,4,6]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,3,5,2]=>[3,6,1,2,4,5]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,5,2,3]=>[3,5,1,2,6,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,1,5,3,2]=>[3,6,1,2,5,4]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,3,2,1,3,5]=>[4,3,1,2,5,6]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,3,2,1,5,3]=>[4,3,1,2,6,5]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,3,2,3,1,5]=>[5,3,1,2,4,6]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,3,2,3,5,1]=>[6,3,1,2,4,5]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,3,2,5,1,3]=>[5,3,1,2,6,4]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,3,2,5,3,1]=>[6,3,1,2,5,4]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,3,3,1,2,5]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,3,1,5,2]=>[4,6,1,2,3,5]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,3,2,1,5]=>[5,4,1,2,3,6]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[3,3,3,2,5,1]=>[6,4,1,2,3,5]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[3,3,3,5,1,2]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,3,3,5,2,1]=>[6,5,1,2,3,4]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
[3,3,5,1,2,3]=>[4,5,1,2,6,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,5,1,3,2]=>[4,6,1,2,5,3]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,3,5,2,1,3]=>[5,4,1,2,6,3]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[3,3,5,2,3,1]=>[6,4,1,2,5,3]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[3,3,5,3,1,2]=>[5,6,1,2,4,3]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,3,5,3,2,1]=>[6,5,1,2,4,3]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
[3,5,1,2,3,3]=>[3,4,1,5,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,3,2,3]=>[3,5,1,4,6,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,1,3,3,2]=>[3,6,1,4,5,2]=>[3,6,1,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[3,5,2,1,3,3]=>[4,3,1,5,6,2]=>[4,3,1,6,5,2]=>[[[.,[.,.]],.],[[.,.],.]]
[3,5,2,3,1,3]=>[5,3,1,4,6,2]=>[5,3,1,6,4,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[3,5,2,3,3,1]=>[6,3,1,4,5,2]=>[6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]
[3,5,3,1,2,3]=>[4,5,1,3,6,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,3,1,3,2]=>[4,6,1,3,5,2]=>[4,6,1,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[3,5,3,2,1,3]=>[5,4,1,3,6,2]=>[5,4,1,6,3,2]=>[[[.,[[.,.],.]],.],[.,.]]
[3,5,3,2,3,1]=>[6,4,1,3,5,2]=>[6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]
[3,5,3,3,1,2]=>[5,6,1,3,4,2]=>[5,6,1,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[3,5,3,3,2,1]=>[6,5,1,3,4,2]=>[6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]
[5,1,2,3,3,3]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,2,3,3]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,3,2,3]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,3,3,2]=>[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,3,3,3]=>[3,2,4,5,6,1]=>[3,2,6,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,2,3,1,3,3]=>[4,2,3,5,6,1]=>[4,2,6,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,2,3,3,1,3]=>[5,2,3,4,6,1]=>[5,2,6,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,2,3,3,3,1]=>[6,2,3,4,5,1]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[5,3,1,2,3,3]=>[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,3,2,3]=>[3,5,2,4,6,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,1,3,3,2]=>[3,6,2,4,5,1]=>[3,6,2,5,4,1]=>[[[.,.],.],[[[.,.],.],.]]
[5,3,2,1,3,3]=>[4,3,2,5,6,1]=>[4,3,2,6,5,1]=>[[[[.,.],.],.],[[.,.],.]]
[5,3,2,3,1,3]=>[5,3,2,4,6,1]=>[5,3,2,6,4,1]=>[[[[.,.],.],[.,.]],[.,.]]
[5,3,2,3,3,1]=>[6,3,2,4,5,1]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[5,3,3,1,2,3]=>[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,3,1,3,2]=>[4,6,2,3,5,1]=>[4,6,2,5,3,1]=>[[[.,.],[.,.]],[[.,.],.]]
[5,3,3,2,1,3]=>[5,4,2,3,6,1]=>[5,4,2,6,3,1]=>[[[[.,.],[.,.]],.],[.,.]]
[5,3,3,2,3,1]=>[6,4,2,3,5,1]=>[6,4,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[5,3,3,3,1,2]=>[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>[[[.,.],[[.,.],.]],[.,.]]
[5,3,3,3,2,1]=>[6,5,2,3,4,1]=>[6,5,2,4,3,1]=>[[[[.,.],[[.,.],.]],.],.]
[1,2,3,3,3,6]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,3,6,3]=>[1,2,3,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,3,6,3,3]=>[1,2,3,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,2,6,3,3,3]=>[1,2,4,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,3,3,6]=>[1,3,2,4,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,3,6,3]=>[1,3,2,4,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,2,6,3,3]=>[1,3,2,5,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,2,3,6]=>[1,4,2,3,5,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,2,6,3]=>[1,4,2,3,6,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,3,2,6]=>[1,5,2,3,4,6]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,3,6,2]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,6,2,3]=>[1,5,2,3,6,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,3,6,3,2]=>[1,6,2,3,5,4]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,2,3,3]=>[1,4,2,5,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,3,2,3]=>[1,5,2,4,6,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,3,6,3,3,2]=>[1,6,2,4,5,3]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,2,3,3,3]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,2,3,3]=>[1,4,3,5,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,3,2,3]=>[1,5,3,4,6,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[1,6,3,3,3,2]=>[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[.,[[[[[.,.],.],.],.],.]]
[2,1,3,3,3,6]=>[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,3,6,3]=>[2,1,3,4,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,6,3,3]=>[2,1,3,5,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,3,3,3]=>[2,1,4,5,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,3,3,6]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,3,6,3]=>[3,1,2,4,6,5]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,1,6,3,3]=>[3,1,2,5,6,4]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,3,3,1,3,6]=>[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,3,1,6,3]=>[4,1,2,3,6,5]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,3,3,1,6]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,3,3,6,1]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,3,6,1,3]=>[5,1,2,3,6,4]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,3,6,3,1]=>[6,1,2,3,5,4]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,3,6,1,3,3]=>[4,1,2,5,6,3]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,6,3,1,3]=>[5,1,2,4,6,3]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,3,6,3,3,1]=>[6,1,2,4,5,3]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,1,3,3,3]=>[3,1,4,5,6,2]=>[3,1,6,5,4,2]=>[[.,[.,.]],[[[.,.],.],.]]
[2,6,3,1,3,3]=>[4,1,3,5,6,2]=>[4,1,6,5,3,2]=>[[.,[[.,.],.]],[[.,.],.]]
[2,6,3,3,1,3]=>[5,1,3,4,6,2]=>[5,1,6,4,3,2]=>[[.,[[[.,.],.],.]],[.,.]]
[2,6,3,3,3,1]=>[6,1,3,4,5,2]=>[6,1,5,4,3,2]=>[[.,[[[[.,.],.],.],.]],.]
[3,1,2,3,3,6]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,3,6,3]=>[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,6,3,3]=>[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,2,3,6]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,2,6,3]=>[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,3,2,6]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,3,6,2]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,6,2,3]=>[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,3,6,3,2]=>[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,2,3,3]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,3,2,3]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,3,3,2]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,3,3,6]=>[3,2,1,4,5,6]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,3,6,3]=>[3,2,1,4,6,5]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,1,6,3,3]=>[3,2,1,5,6,4]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[3,2,3,1,3,6]=>[4,2,1,3,5,6]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,3,1,6,3]=>[4,2,1,3,6,5]=>[4,2,1,6,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[3,2,3,3,1,6]=>[5,2,1,3,4,6]=>[5,2,1,6,4,3]=>[[[.,.],[[.,.],.]],[.,.]]
[3,2,3,3,6,1]=>[6,2,1,3,4,5]=>[6,2,1,5,4,3]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,3,6,1,3]=>[5,2,1,3,6,4]=>[5,2,1,6,4,3]=>[[[.,.]