Identifier
Mp00256:
Decorated permutations
—upper permutation⟶
Permutations
Mp00086: Permutations —first fundamental transformation⟶ Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Mp00086: Permutations —first fundamental transformation⟶ Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Images
=>
Cc0010;cc-rep-3
[+]=>[1]=>[1]=>[.,.]
[-]=>[1]=>[1]=>[.,.]
[+,+]=>[1,2]=>[1,2]=>[.,[.,.]]
[-,+]=>[2,1]=>[2,1]=>[[.,.],.]
[+,-]=>[1,2]=>[1,2]=>[.,[.,.]]
[-,-]=>[1,2]=>[1,2]=>[.,[.,.]]
[2,1]=>[2,1]=>[2,1]=>[[.,.],.]
[+,+,+]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[-,+,+]=>[2,3,1]=>[3,2,1]=>[[[.,.],.],.]
[+,-,+]=>[1,3,2]=>[1,3,2]=>[.,[[.,.],.]]
[+,+,-]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[-,-,+]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[-,+,-]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[+,-,-]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[-,-,-]=>[1,2,3]=>[1,2,3]=>[.,[.,[.,.]]]
[+,3,2]=>[1,3,2]=>[1,3,2]=>[.,[[.,.],.]]
[-,3,2]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[2,1,+]=>[2,3,1]=>[3,2,1]=>[[[.,.],.],.]
[2,1,-]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[2,3,1]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[3,1,2]=>[2,3,1]=>[3,2,1]=>[[[.,.],.],.]
[3,+,1]=>[2,3,1]=>[3,2,1]=>[[[.,.],.],.]
[3,-,1]=>[3,1,2]=>[2,3,1]=>[[.,[.,.]],.]
[+,+,+,+]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[-,+,+,+]=>[2,3,4,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[+,-,+,+]=>[1,3,4,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[+,+,-,+]=>[1,2,4,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]
[+,+,+,-]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[-,-,+,+]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[-,+,-,+]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[-,+,+,-]=>[2,3,1,4]=>[3,2,1,4]=>[[[.,.],.],[.,.]]
[+,-,-,+]=>[1,4,2,3]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]
[+,-,+,-]=>[1,3,2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[+,+,-,-]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[-,-,-,+]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[-,-,+,-]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[-,+,-,-]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[+,-,-,-]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[-,-,-,-]=>[1,2,3,4]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[+,+,4,3]=>[1,2,4,3]=>[1,2,4,3]=>[.,[.,[[.,.],.]]]
[-,+,4,3]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[+,-,4,3]=>[1,4,2,3]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]
[-,-,4,3]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[+,3,2,+]=>[1,3,4,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[-,3,2,+]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[+,3,2,-]=>[1,3,2,4]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[-,3,2,-]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[+,3,4,2]=>[1,4,2,3]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]
[-,3,4,2]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[+,4,2,3]=>[1,3,4,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[-,4,2,3]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[+,4,+,2]=>[1,3,4,2]=>[1,4,3,2]=>[.,[[[.,.],.],.]]
[-,4,+,2]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[+,4,-,2]=>[1,4,2,3]=>[1,3,4,2]=>[.,[[.,[.,.]],.]]
[-,4,-,2]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[2,1,+,+]=>[2,3,4,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[2,1,-,+]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[2,1,+,-]=>[2,3,1,4]=>[3,2,1,4]=>[[[.,.],.],[.,.]]
[2,1,-,-]=>[2,1,3,4]=>[2,1,3,4]=>[[.,.],[.,[.,.]]]
[2,1,4,3]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[2,3,1,+]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[2,3,1,-]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[2,3,4,1]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[2,4,1,3]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[2,4,+,1]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[2,4,-,1]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[3,1,2,+]=>[2,3,4,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[3,1,2,-]=>[2,3,1,4]=>[3,2,1,4]=>[[[.,.],.],[.,.]]
[3,1,4,2]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[3,+,1,+]=>[2,3,4,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[3,-,1,+]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[3,+,1,-]=>[2,3,1,4]=>[3,2,1,4]=>[[[.,.],.],[.,.]]
[3,-,1,-]=>[3,1,2,4]=>[2,3,1,4]=>[[.,[.,.]],[.,.]]
[3,+,4,1]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[3,-,4,1]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[3,4,1,2]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[3,4,2,1]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[4,1,2,3]=>[2,3,4,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[4,1,+,2]=>[2,3,4,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[4,1,-,2]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[4,+,1,3]=>[2,3,4,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[4,-,1,3]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[4,+,+,1]=>[2,3,4,1]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[4,-,+,1]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[4,+,-,1]=>[2,4,1,3]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[4,-,-,1]=>[4,1,2,3]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[4,3,1,2]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[4,3,2,1]=>[3,4,1,2]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[+,+,+,+,+]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[-,+,+,+,+]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[+,-,+,+,+]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[.,[[[.,.],[.,.]],.]]
[+,+,-,+,+]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]
[+,+,+,-,+]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]
[+,+,+,+,-]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[-,-,+,+,+]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[-,+,-,+,+]=>[2,4,5,1,3]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[-,+,+,-,+]=>[2,3,5,1,4]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[-,+,+,+,-]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[[[.,.],[.,.]],[.,.]]
[+,-,-,+,+]=>[1,4,5,2,3]=>[1,3,5,4,2]=>[.,[[.,[[.,.],.]],.]]
[+,-,+,-,+]=>[1,3,5,2,4]=>[1,4,3,5,2]=>[.,[[[.,.],[.,.]],.]]
[+,-,+,+,-]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]
[+,+,-,-,+]=>[1,2,5,3,4]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[+,+,-,+,-]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]
[+,+,+,-,-]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[-,-,-,+,+]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[-,-,+,-,+]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[-,-,+,+,-]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[-,+,-,-,+]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[-,+,-,+,-]=>[2,4,1,3,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[-,+,+,-,-]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[[[.,.],.],[.,[.,.]]]
[+,-,-,-,+]=>[1,5,2,3,4]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]
[+,-,-,+,-]=>[1,4,2,3,5]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[+,-,+,-,-]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]
[+,+,-,-,-]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[-,-,-,-,+]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[-,-,-,+,-]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[-,-,+,-,-]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[[.,[.,.]],[.,[.,.]]]
[-,+,-,-,-]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[+,-,-,-,-]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[-,-,-,-,-]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[+,+,+,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]
[-,+,+,5,4]=>[2,3,5,1,4]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[+,-,+,5,4]=>[1,3,5,2,4]=>[1,4,3,5,2]=>[.,[[[.,.],[.,.]],.]]
[+,+,-,5,4]=>[1,2,5,3,4]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[-,-,+,5,4]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[-,+,-,5,4]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[+,-,-,5,4]=>[1,5,2,3,4]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]
[-,-,-,5,4]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[+,+,4,3,+]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]
[-,+,4,3,+]=>[2,4,5,1,3]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[+,-,4,3,+]=>[1,4,5,2,3]=>[1,3,5,4,2]=>[.,[[.,[[.,.],.]],.]]
[+,+,4,3,-]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]
[-,-,4,3,+]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[-,+,4,3,-]=>[2,4,1,3,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[+,-,4,3,-]=>[1,4,2,3,5]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[-,-,4,3,-]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[+,+,4,5,3]=>[1,2,5,3,4]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[-,+,4,5,3]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[+,-,4,5,3]=>[1,5,2,3,4]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]
[-,-,4,5,3]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[+,+,5,3,4]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]
[-,+,5,3,4]=>[2,4,5,1,3]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[+,-,5,3,4]=>[1,4,5,2,3]=>[1,3,5,4,2]=>[.,[[.,[[.,.],.]],.]]
[-,-,5,3,4]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[+,+,5,+,3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]
[-,+,5,+,3]=>[2,4,5,1,3]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[+,-,5,+,3]=>[1,4,5,2,3]=>[1,3,5,4,2]=>[.,[[.,[[.,.],.]],.]]
[+,+,5,-,3]=>[1,2,5,3,4]=>[1,2,4,5,3]=>[.,[.,[[.,[.,.]],.]]]
[-,-,5,+,3]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[-,+,5,-,3]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[+,-,5,-,3]=>[1,5,2,3,4]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]
[-,-,5,-,3]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[+,3,2,+,+]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[.,[[[.,.],[.,.]],.]]
[-,3,2,+,+]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[+,3,2,-,+]=>[1,3,5,2,4]=>[1,4,3,5,2]=>[.,[[[.,.],[.,.]],.]]
[+,3,2,+,-]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]
[-,3,2,-,+]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[-,3,2,+,-]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[+,3,2,-,-]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]
[-,3,2,-,-]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[[.,[.,.]],[.,[.,.]]]
[+,3,2,5,4]=>[1,3,5,2,4]=>[1,4,3,5,2]=>[.,[[[.,.],[.,.]],.]]
[-,3,2,5,4]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[+,3,4,2,+]=>[1,4,5,2,3]=>[1,3,5,4,2]=>[.,[[.,[[.,.],.]],.]]
[-,3,4,2,+]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[+,3,4,2,-]=>[1,4,2,3,5]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[-,3,4,2,-]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[+,3,4,5,2]=>[1,5,2,3,4]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]
[-,3,4,5,2]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[+,3,5,2,4]=>[1,4,5,2,3]=>[1,3,5,4,2]=>[.,[[.,[[.,.],.]],.]]
[-,3,5,2,4]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[+,3,5,+,2]=>[1,4,5,2,3]=>[1,3,5,4,2]=>[.,[[.,[[.,.],.]],.]]
[-,3,5,+,2]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[+,3,5,-,2]=>[1,5,2,3,4]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]
[-,3,5,-,2]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[+,4,2,3,+]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[.,[[[.,.],[.,.]],.]]
[-,4,2,3,+]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[+,4,2,3,-]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]
[-,4,2,3,-]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[+,4,2,5,3]=>[1,3,5,2,4]=>[1,4,3,5,2]=>[.,[[[.,.],[.,.]],.]]
[-,4,2,5,3]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[+,4,+,2,+]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[.,[[[.,.],[.,.]],.]]
[-,4,+,2,+]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[+,4,-,2,+]=>[1,4,5,2,3]=>[1,3,5,4,2]=>[.,[[.,[[.,.],.]],.]]
[+,4,+,2,-]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]
[-,4,-,2,+]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[-,4,+,2,-]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[+,4,-,2,-]=>[1,4,2,3,5]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[-,4,-,2,-]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[+,4,+,5,2]=>[1,3,5,2,4]=>[1,4,3,5,2]=>[.,[[[.,.],[.,.]],.]]
[-,4,+,5,2]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[+,4,-,5,2]=>[1,5,2,3,4]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]
[-,4,-,5,2]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[+,4,5,2,3]=>[1,4,5,2,3]=>[1,3,5,4,2]=>[.,[[.,[[.,.],.]],.]]
[-,4,5,2,3]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[+,4,5,3,2]=>[1,4,5,2,3]=>[1,3,5,4,2]=>[.,[[.,[[.,.],.]],.]]
[-,4,5,3,2]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[+,5,2,3,4]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[.,[[[.,.],[.,.]],.]]
[-,5,2,3,4]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[+,5,2,+,3]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[.,[[[.,.],[.,.]],.]]
[-,5,2,+,3]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[+,5,2,-,3]=>[1,3,5,2,4]=>[1,4,3,5,2]=>[.,[[[.,.],[.,.]],.]]
[-,5,2,-,3]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[+,5,+,2,4]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[.,[[[.,.],[.,.]],.]]
[-,5,+,2,4]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[+,5,-,2,4]=>[1,4,5,2,3]=>[1,3,5,4,2]=>[.,[[.,[[.,.],.]],.]]
[-,5,-,2,4]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[+,5,+,+,2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[.,[[[.,.],[.,.]],.]]
[-,5,+,+,2]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[+,5,-,+,2]=>[1,4,5,2,3]=>[1,3,5,4,2]=>[.,[[.,[[.,.],.]],.]]
[+,5,+,-,2]=>[1,3,5,2,4]=>[1,4,3,5,2]=>[.,[[[.,.],[.,.]],.]]
[-,5,-,+,2]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[-,5,+,-,2]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[+,5,-,-,2]=>[1,5,2,3,4]=>[1,3,4,5,2]=>[.,[[.,[.,[.,.]]],.]]
[-,5,-,-,2]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[+,5,4,2,3]=>[1,4,5,2,3]=>[1,3,5,4,2]=>[.,[[.,[[.,.],.]],.]]
[-,5,4,2,3]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[+,5,4,3,2]=>[1,4,5,2,3]=>[1,3,5,4,2]=>[.,[[.,[[.,.],.]],.]]
[-,5,4,3,2]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[2,1,+,+,+]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[2,1,-,+,+]=>[2,4,5,1,3]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[2,1,+,-,+]=>[2,3,5,1,4]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[2,1,+,+,-]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[[[.,.],[.,.]],[.,.]]
[2,1,-,-,+]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[2,1,-,+,-]=>[2,4,1,3,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[2,1,+,-,-]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[[[.,.],.],[.,[.,.]]]
[2,1,-,-,-]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]
[2,1,+,5,4]=>[2,3,5,1,4]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[2,1,-,5,4]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[2,1,4,3,+]=>[2,4,5,1,3]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[2,1,4,3,-]=>[2,4,1,3,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[2,1,4,5,3]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[2,1,5,3,4]=>[2,4,5,1,3]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[2,1,5,+,3]=>[2,4,5,1,3]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[2,1,5,-,3]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[2,3,1,+,+]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[2,3,1,-,+]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[2,3,1,+,-]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[2,3,1,-,-]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[[.,[.,.]],[.,[.,.]]]
[2,3,1,5,4]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[2,3,4,1,+]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[2,3,4,1,-]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[2,3,4,5,1]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[2,3,5,1,4]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[2,3,5,+,1]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[2,3,5,-,1]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[2,4,1,3,+]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[2,4,1,3,-]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[2,4,1,5,3]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[2,4,+,1,+]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[2,4,-,1,+]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[2,4,+,1,-]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[2,4,-,1,-]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[2,4,+,5,1]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[2,4,-,5,1]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[2,4,5,1,3]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[2,4,5,3,1]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[2,5,1,3,4]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[2,5,1,+,3]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[2,5,1,-,3]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[2,5,+,1,4]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[2,5,-,1,4]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[2,5,+,+,1]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[2,5,-,+,1]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[2,5,+,-,1]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[2,5,-,-,1]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[2,5,4,1,3]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[2,5,4,3,1]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[3,1,2,+,+]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[3,1,2,-,+]=>[2,3,5,1,4]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[3,1,2,+,-]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[[[.,.],[.,.]],[.,.]]
[3,1,2,-,-]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[[[.,.],.],[.,[.,.]]]
[3,1,2,5,4]=>[2,3,5,1,4]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[3,1,4,2,+]=>[2,4,5,1,3]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[3,1,4,2,-]=>[2,4,1,3,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[3,1,4,5,2]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[3,1,5,2,4]=>[2,4,5,1,3]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[3,1,5,+,2]=>[2,4,5,1,3]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[3,1,5,-,2]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[3,+,1,+,+]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[3,-,1,+,+]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[3,+,1,-,+]=>[2,3,5,1,4]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[3,+,1,+,-]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[[[.,.],[.,.]],[.,.]]
[3,-,1,-,+]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[3,-,1,+,-]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[3,+,1,-,-]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[[[.,.],.],[.,[.,.]]]
[3,-,1,-,-]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[[.,[.,.]],[.,[.,.]]]
[3,+,1,5,4]=>[2,3,5,1,4]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[3,-,1,5,4]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[3,+,4,1,+]=>[2,4,5,1,3]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[3,-,4,1,+]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[3,+,4,1,-]=>[2,4,1,3,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[3,-,4,1,-]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[3,+,4,5,1]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[3,-,4,5,1]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[3,+,5,1,4]=>[2,4,5,1,3]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[3,-,5,1,4]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[3,+,5,+,1]=>[2,4,5,1,3]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[3,-,5,+,1]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[3,+,5,-,1]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[3,-,5,-,1]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[3,4,1,2,+]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[3,4,1,2,-]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[3,4,1,5,2]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[3,4,2,1,+]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[3,4,2,1,-]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[3,4,2,5,1]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[3,4,5,1,2]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[3,4,5,2,1]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[3,5,1,2,4]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[3,5,1,+,2]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[3,5,1,-,2]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[3,5,2,1,4]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[3,5,2,+,1]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[3,5,2,-,1]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[3,5,4,1,2]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[3,5,4,2,1]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[4,1,2,3,+]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[4,1,2,3,-]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[[[.,.],[.,.]],[.,.]]
[4,1,2,5,3]=>[2,3,5,1,4]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[4,1,+,2,+]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[4,1,-,2,+]=>[2,4,5,1,3]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[4,1,+,2,-]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[[[.,.],[.,.]],[.,.]]
[4,1,-,2,-]=>[2,4,1,3,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[4,1,+,5,2]=>[2,3,5,1,4]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[4,1,-,5,2]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[4,1,5,2,3]=>[2,4,5,1,3]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[4,1,5,3,2]=>[2,4,5,1,3]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[4,+,1,3,+]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[4,-,1,3,+]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[4,+,1,3,-]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[[[.,.],[.,.]],[.,.]]
[4,-,1,3,-]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[4,+,1,5,3]=>[2,3,5,1,4]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[4,-,1,5,3]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[4,+,+,1,+]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[4,-,+,1,+]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[4,+,-,1,+]=>[2,4,5,1,3]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[4,+,+,1,-]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[[[.,.],[.,.]],[.,.]]
[4,-,-,1,+]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[4,-,+,1,-]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[4,+,-,1,-]=>[2,4,1,3,5]=>[3,2,4,1,5]=>[[[.,.],[.,.]],[.,.]]
[4,-,-,1,-]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[[.,[.,[.,.]]],[.,.]]
[4,+,+,5,1]=>[2,3,5,1,4]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[4,-,+,5,1]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[4,+,-,5,1]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[4,-,-,5,1]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[4,+,5,1,3]=>[2,4,5,1,3]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[4,-,5,1,3]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[4,+,5,3,1]=>[2,4,5,1,3]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[4,-,5,3,1]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[4,3,1,2,+]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[4,3,1,2,-]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[4,3,1,5,2]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[4,3,2,1,+]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[4,3,2,1,-]=>[3,4,1,2,5]=>[2,4,3,1,5]=>[[.,[[.,.],.]],[.,.]]
[4,3,2,5,1]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[4,3,5,1,2]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[4,3,5,2,1]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[4,5,1,2,3]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[4,5,1,3,2]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[4,5,2,1,3]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[4,5,2,3,1]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[4,5,+,1,2]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[4,5,-,1,2]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[4,5,+,2,1]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[4,5,-,2,1]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[5,1,2,3,4]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[5,1,2,+,3]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[5,1,2,-,3]=>[2,3,5,1,4]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[5,1,+,2,4]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[5,1,-,2,4]=>[2,4,5,1,3]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[5,1,+,+,2]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[5,1,-,+,2]=>[2,4,5,1,3]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[5,1,+,-,2]=>[2,3,5,1,4]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[5,1,-,-,2]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[5,1,4,2,3]=>[2,4,5,1,3]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[5,1,4,3,2]=>[2,4,5,1,3]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[5,+,1,3,4]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[5,-,1,3,4]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[5,+,1,+,3]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[5,-,1,+,3]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[5,+,1,-,3]=>[2,3,5,1,4]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[5,-,1,-,3]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[5,+,+,1,4]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[5,-,+,1,4]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[5,+,-,1,4]=>[2,4,5,1,3]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[5,-,-,1,4]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[5,+,+,+,1]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[5,-,+,+,1]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[5,+,-,+,1]=>[2,4,5,1,3]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[5,+,+,-,1]=>[2,3,5,1,4]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[5,-,-,+,1]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[5,-,+,-,1]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[5,+,-,-,1]=>[2,5,1,3,4]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[5,-,-,-,1]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[5,+,4,1,3]=>[2,4,5,1,3]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
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[5,+,4,3,1]=>[2,4,5,1,3]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[5,-,4,3,1]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[5,3,1,2,4]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[5,3,1,+,2]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[5,3,1,-,2]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[5,3,2,1,4]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[5,3,2,+,1]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[5,3,2,-,1]=>[3,5,1,2,4]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[5,3,4,1,2]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[5,3,4,2,1]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[5,4,1,2,3]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[5,4,1,3,2]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[5,4,2,1,3]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[5,4,2,3,1]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[5,4,+,1,2]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[5,4,-,1,2]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[5,4,+,2,1]=>[3,4,5,1,2]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[5,4,-,2,1]=>[4,5,1,2,3]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
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[+,+,-,+,+,+]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>[.,[.,[[[.,.],[.,.]],.]]]
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[-,+,-,+,+,+]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[-,+,+,-,+,+]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
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[+,-,-,+,+,+]=>[1,4,5,6,2,3]=>[1,3,6,4,5,2]=>[.,[[.,[[.,.],[.,.]]],.]]
[+,-,+,-,+,+]=>[1,3,5,6,2,4]=>[1,4,3,6,5,2]=>[.,[[[.,.],[[.,.],.]],.]]
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[+,+,-,-,+,+]=>[1,2,5,6,3,4]=>[1,2,4,6,5,3]=>[.,[.,[[.,[[.,.],.]],.]]]
[+,+,-,+,-,+]=>[1,2,4,6,3,5]=>[1,2,5,4,6,3]=>[.,[.,[[[.,.],[.,.]],.]]]
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[-,+,-,-,+,+]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[-,+,-,+,-,+]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[-,+,-,+,+,-]=>[2,4,5,1,3,6]=>[3,2,5,4,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
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[+,-,-,-,+,+]=>[1,5,6,2,3,4]=>[1,3,4,6,5,2]=>[.,[[.,[.,[[.,.],.]]],.]]
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[-,-,+,-,-,+]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
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[-,+,-,-,-,+]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[-,+,-,-,+,-]=>[2,5,1,3,4,6]=>[3,2,4,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[-,+,-,+,-,-]=>[2,4,1,3,5,6]=>[3,2,4,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[-,+,+,-,-,-]=>[2,3,1,4,5,6]=>[3,2,1,4,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[+,-,-,-,-,+]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
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[+,+,-,-,-,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[-,-,-,-,-,+]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[-,-,-,-,+,-]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[[.,[.,[.,[.,.]]]],[.,.]]
[-,-,-,+,-,-]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[-,-,+,-,-,-]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[-,+,-,-,-,-]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[[.,.],[.,[.,[.,[.,.]]]]]
[+,-,-,-,-,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[-,-,-,-,-,-]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
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[+,-,+,+,6,5]=>[1,3,4,6,2,5]=>[1,5,3,4,6,2]=>[.,[[[.,.],[.,[.,.]]],.]]
[+,+,-,+,6,5]=>[1,2,4,6,3,5]=>[1,2,5,4,6,3]=>[.,[.,[[[.,.],[.,.]],.]]]
[+,+,+,-,6,5]=>[1,2,3,6,4,5]=>[1,2,3,5,6,4]=>[.,[.,[.,[[.,[.,.]],.]]]]
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[-,+,-,+,6,5]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[-,+,+,-,6,5]=>[2,3,6,1,4,5]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[+,-,-,+,6,5]=>[1,4,6,2,3,5]=>[1,3,5,4,6,2]=>[.,[[.,[[.,.],[.,.]]],.]]
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[+,+,-,-,6,5]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[.,[.,[[.,[.,[.,.]]],.]]]
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[-,-,+,-,6,5]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[-,+,-,-,6,5]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[+,-,-,-,6,5]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[.,[[.,[.,[.,[.,.]]]],.]]
[-,-,-,-,6,5]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[+,+,+,5,4,+]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]]
[-,+,+,5,4,+]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[+,-,+,5,4,+]=>[1,3,5,6,2,4]=>[1,4,3,6,5,2]=>[.,[[[.,.],[[.,.],.]],.]]
[+,+,-,5,4,+]=>[1,2,5,6,3,4]=>[1,2,4,6,5,3]=>[.,[.,[[.,[[.,.],.]],.]]]
[+,+,+,5,4,-]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]
[-,-,+,5,4,+]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[-,+,-,5,4,+]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[-,+,+,5,4,-]=>[2,3,5,1,4,6]=>[4,2,3,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[+,-,-,5,4,+]=>[1,5,6,2,3,4]=>[1,3,4,6,5,2]=>[.,[[.,[.,[[.,.],.]]],.]]
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[+,+,-,5,4,-]=>[1,2,5,3,4,6]=>[1,2,4,5,3,6]=>[.,[.,[[.,[.,.]],[.,.]]]]
[-,-,-,5,4,+]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
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[-,+,-,5,4,-]=>[2,5,1,3,4,6]=>[3,2,4,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[+,-,-,5,4,-]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
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[2,1,+,5,4,-]=>[2,3,5,1,4,6]=>[4,2,3,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[2,1,-,5,4,-]=>[2,5,1,3,4,6]=>[3,2,4,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[2,1,+,5,6,4]=>[2,3,6,1,4,5]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[2,1,-,5,6,4]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[2,1,+,6,4,5]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[2,1,-,6,4,5]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[2,1,+,6,+,4]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[2,1,-,6,+,4]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[2,1,+,6,-,4]=>[2,3,6,1,4,5]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[2,1,-,6,-,4]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[2,1,4,3,+,+]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[2,1,4,3,-,+]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[2,1,4,3,+,-]=>[2,4,5,1,3,6]=>[3,2,5,4,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[2,1,4,3,-,-]=>[2,4,1,3,5,6]=>[3,2,4,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[2,1,4,3,6,5]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[2,1,4,5,3,+]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[2,1,4,5,3,-]=>[2,5,1,3,4,6]=>[3,2,4,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[2,1,4,5,6,3]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[2,1,4,6,3,5]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[2,1,4,6,+,3]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[2,1,4,6,-,3]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[2,1,5,3,4,+]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[2,1,5,3,4,-]=>[2,4,5,1,3,6]=>[3,2,5,4,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[2,1,5,3,6,4]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[2,1,5,+,3,+]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[2,1,5,-,3,+]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[2,1,5,+,3,-]=>[2,4,5,1,3,6]=>[3,2,5,4,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[2,1,5,-,3,-]=>[2,5,1,3,4,6]=>[3,2,4,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[2,1,5,+,6,3]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[2,1,5,-,6,3]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[2,1,5,6,3,4]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[2,1,5,6,4,3]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[2,1,6,3,4,5]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[2,1,6,3,+,4]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[2,1,6,3,-,4]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[2,1,6,+,3,5]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[2,1,6,-,3,5]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[2,1,6,+,+,3]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[2,1,6,-,+,3]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[2,1,6,+,-,3]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[2,1,6,-,-,3]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[2,1,6,5,3,4]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[2,1,6,5,4,3]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[2,3,1,+,+,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,3,1,-,+,+]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,3,1,+,-,+]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,3,1,+,+,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[2,3,1,-,-,+]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,3,1,-,+,-]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[2,3,1,+,-,-]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[2,3,1,-,-,-]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[2,3,1,+,6,5]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,3,1,-,6,5]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,3,1,5,4,+]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,3,1,5,4,-]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[2,3,1,5,6,4]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,3,1,6,4,5]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,3,1,6,+,4]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,3,1,6,-,4]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,3,4,1,+,+]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,3,4,1,-,+]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,3,4,1,+,-]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[2,3,4,1,-,-]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[2,3,4,1,6,5]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,3,4,5,1,+]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,3,4,5,1,-]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[[.,[.,[.,[.,.]]]],[.,.]]
[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[2,3,4,6,1,5]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,3,4,6,+,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,3,4,6,-,1]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[2,3,5,1,4,+]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,3,5,1,4,-]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[2,3,5,1,6,4]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,3,5,+,1,+]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,3,5,-,1,+]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,3,5,+,1,-]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[2,3,5,-,1,-]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[[.,[.,[.,[.,.]]]],[.,.]]
[2,3,5,+,6,1]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,3,5,-,6,1]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[2,3,5,6,1,4]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,3,5,6,4,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,3,6,1,4,5]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,3,6,1,+,4]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,3,6,1,-,4]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,3,6,+,1,5]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,3,6,-,1,5]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,3,6,+,+,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,3,6,-,+,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,3,6,+,-,1]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,3,6,-,-,1]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[2,3,6,5,1,4]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,3,6,5,4,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,4,1,3,+,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,4,1,3,-,+]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,4,1,3,+,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[2,4,1,3,-,-]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[2,4,1,3,6,5]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,4,1,5,3,+]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,4,1,5,3,-]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[2,4,1,5,6,3]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,4,1,6,3,5]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,4,1,6,+,3]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,4,1,6,-,3]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,4,+,1,+,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,4,-,1,+,+]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,4,+,1,-,+]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,4,+,1,+,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[2,4,-,1,-,+]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,4,-,1,+,-]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[2,4,+,1,-,-]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[2,4,-,1,-,-]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[2,4,+,1,6,5]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,4,-,1,6,5]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,4,+,5,1,+]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,4,-,5,1,+]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,4,+,5,1,-]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[2,4,-,5,1,-]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[[.,[.,[.,[.,.]]]],[.,.]]
[2,4,+,5,6,1]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,4,-,5,6,1]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[2,4,+,6,1,5]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,4,-,6,1,5]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,4,+,6,+,1]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,4,-,6,+,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,4,+,6,-,1]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,4,-,6,-,1]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[2,4,5,1,3,+]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,4,5,1,3,-]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[2,4,5,1,6,3]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,4,5,3,1,+]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,4,5,3,1,-]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[2,4,5,3,6,1]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,4,5,6,1,3]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,4,5,6,3,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,4,6,1,3,5]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,4,6,1,+,3]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,4,6,1,-,3]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,4,6,3,1,5]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,4,6,3,+,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,4,6,3,-,1]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,4,6,5,1,3]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,4,6,5,3,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,5,1,3,4,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,5,1,3,4,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[2,5,1,3,6,4]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,5,1,+,3,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,5,1,-,3,+]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,5,1,+,3,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[2,5,1,-,3,-]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[2,5,1,+,6,3]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,5,1,-,6,3]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,5,1,6,3,4]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,5,1,6,4,3]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,5,+,1,4,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,5,-,1,4,+]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,5,+,1,4,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[2,5,-,1,4,-]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[2,5,+,1,6,4]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,5,-,1,6,4]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,5,+,+,1,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,5,-,+,1,+]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,5,+,-,1,+]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,5,+,+,1,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[2,5,-,-,1,+]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,5,-,+,1,-]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[2,5,+,-,1,-]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[2,5,-,-,1,-]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[[.,[.,[.,[.,.]]]],[.,.]]
[2,5,+,+,6,1]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,5,-,+,6,1]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,5,+,-,6,1]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,5,-,-,6,1]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[2,5,+,6,1,4]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,5,-,6,1,4]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,5,+,6,4,1]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,5,-,6,4,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,5,4,1,3,+]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,5,4,1,3,-]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[2,5,4,1,6,3]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,5,4,3,1,+]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,5,4,3,1,-]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[2,5,4,3,6,1]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,5,4,6,1,3]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,5,4,6,3,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,5,6,1,3,4]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,5,6,1,4,3]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,5,6,3,1,4]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,5,6,3,4,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,5,6,+,1,3]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,5,6,-,1,3]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,5,6,+,3,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,5,6,-,3,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,6,1,3,4,5]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,6,1,3,+,4]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,6,1,3,-,4]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,6,1,+,3,5]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,6,1,-,3,5]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,6,1,+,+,3]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,6,1,-,+,3]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,6,1,+,-,3]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,6,1,-,-,3]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,6,1,5,3,4]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,6,1,5,4,3]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,6,+,1,4,5]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,6,-,1,4,5]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,6,+,1,+,4]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,6,-,1,+,4]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,6,+,1,-,4]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,6,-,1,-,4]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,6,+,+,1,5]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,6,-,+,1,5]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,6,+,-,1,5]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,6,-,-,1,5]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,6,+,+,+,1]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,6,-,+,+,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,6,+,-,+,1]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,6,+,+,-,1]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,6,-,-,+,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,6,-,+,-,1]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,6,+,-,-,1]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,6,-,-,-,1]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[2,6,+,5,1,4]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,6,-,5,1,4]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,6,+,5,4,1]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,6,-,5,4,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,6,4,1,3,5]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,6,4,1,+,3]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,6,4,1,-,3]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,6,4,3,1,5]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,6,4,3,+,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,6,4,3,-,1]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,6,4,5,1,3]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,6,4,5,3,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,6,5,1,3,4]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,6,5,1,4,3]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,6,5,3,1,4]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,6,5,3,4,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,6,5,+,1,3]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,6,5,-,1,3]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,6,5,+,3,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,6,5,-,3,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[3,1,2,+,+,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,1,2,-,+,+]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,1,2,+,-,+]=>[2,3,4,6,1,5]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,1,2,+,+,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,1,2,-,-,+]=>[2,3,6,1,4,5]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,1,2,-,+,-]=>[2,3,5,1,4,6]=>[4,2,3,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,1,2,+,-,-]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[3,1,2,-,-,-]=>[2,3,1,4,5,6]=>[3,2,1,4,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[3,1,2,+,6,5]=>[2,3,4,6,1,5]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,1,2,-,6,5]=>[2,3,6,1,4,5]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,1,2,5,4,+]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,1,2,5,4,-]=>[2,3,5,1,4,6]=>[4,2,3,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,1,2,5,6,4]=>[2,3,6,1,4,5]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,1,2,6,4,5]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,1,2,6,+,4]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,1,2,6,-,4]=>[2,3,6,1,4,5]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,1,4,2,+,+]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,1,4,2,-,+]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,1,4,2,+,-]=>[2,4,5,1,3,6]=>[3,2,5,4,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[3,1,4,2,-,-]=>[2,4,1,3,5,6]=>[3,2,4,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[3,1,4,2,6,5]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,1,4,5,2,+]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,1,4,5,2,-]=>[2,5,1,3,4,6]=>[3,2,4,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,1,4,5,6,2]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,1,4,6,2,5]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,1,4,6,+,2]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,1,4,6,-,2]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,1,5,2,4,+]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,1,5,2,4,-]=>[2,4,5,1,3,6]=>[3,2,5,4,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[3,1,5,2,6,4]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,1,5,+,2,+]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,1,5,-,2,+]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,1,5,+,2,-]=>[2,4,5,1,3,6]=>[3,2,5,4,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[3,1,5,-,2,-]=>[2,5,1,3,4,6]=>[3,2,4,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,1,5,+,6,2]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,1,5,-,6,2]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,1,5,6,2,4]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,1,5,6,4,2]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,1,6,2,4,5]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,1,6,2,+,4]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,1,6,2,-,4]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,1,6,+,2,5]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,1,6,-,2,5]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,1,6,+,+,2]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,1,6,-,+,2]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,1,6,+,-,2]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,1,6,-,-,2]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,1,6,5,2,4]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,1,6,5,4,2]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,+,1,+,+,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,-,1,+,+,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,+,1,-,+,+]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,+,1,+,-,+]=>[2,3,4,6,1,5]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,+,1,+,+,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,-,1,-,+,+]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[3,-,1,+,-,+]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,-,1,+,+,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[3,+,1,-,-,+]=>[2,3,6,1,4,5]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,+,1,-,+,-]=>[2,3,5,1,4,6]=>[4,2,3,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,+,1,+,-,-]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[3,-,1,-,-,+]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,-,1,-,+,-]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[3,-,1,+,-,-]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[3,+,1,-,-,-]=>[2,3,1,4,5,6]=>[3,2,1,4,5,6]=>[[[.,.],.],[.,[.,[.,.]]]]
[3,-,1,-,-,-]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[[.,[.,.]],[.,[.,[.,.]]]]
[3,+,1,+,6,5]=>[2,3,4,6,1,5]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,-,1,+,6,5]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,+,1,-,6,5]=>[2,3,6,1,4,5]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,-,1,-,6,5]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,+,1,5,4,+]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,-,1,5,4,+]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[3,+,1,5,4,-]=>[2,3,5,1,4,6]=>[4,2,3,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,-,1,5,4,-]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[3,+,1,5,6,4]=>[2,3,6,1,4,5]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,-,1,5,6,4]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,+,1,6,4,5]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,-,1,6,4,5]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[3,+,1,6,+,4]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,-,1,6,+,4]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[3,+,1,6,-,4]=>[2,3,6,1,4,5]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,-,1,6,-,4]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,+,4,1,+,+]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,-,4,1,+,+]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,+,4,1,-,+]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,+,4,1,+,-]=>[2,4,5,1,3,6]=>[3,2,5,4,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[3,-,4,1,-,+]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,-,4,1,+,-]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[3,+,4,1,-,-]=>[2,4,1,3,5,6]=>[3,2,4,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[3,-,4,1,-,-]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[3,+,4,1,6,5]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,-,4,1,6,5]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,+,4,5,1,+]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,-,4,5,1,+]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[3,+,4,5,1,-]=>[2,5,1,3,4,6]=>[3,2,4,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,-,4,5,1,-]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[[.,[.,[.,[.,.]]]],[.,.]]
[3,+,4,5,6,1]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,-,4,5,6,1]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[3,+,4,6,1,5]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,-,4,6,1,5]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[3,+,4,6,+,1]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,-,4,6,+,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[3,+,4,6,-,1]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,-,4,6,-,1]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[3,+,5,1,4,+]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,-,5,1,4,+]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,+,5,1,4,-]=>[2,4,5,1,3,6]=>[3,2,5,4,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[3,-,5,1,4,-]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[3,+,5,1,6,4]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,-,5,1,6,4]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,+,5,+,1,+]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,-,5,+,1,+]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,+,5,-,1,+]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,+,5,+,1,-]=>[2,4,5,1,3,6]=>[3,2,5,4,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[3,-,5,-,1,+]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[3,-,5,+,1,-]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[3,+,5,-,1,-]=>[2,5,1,3,4,6]=>[3,2,4,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[3,-,5,-,1,-]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[[.,[.,[.,[.,.]]]],[.,.]]
[3,+,5,+,6,1]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,-,5,+,6,1]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,+,5,-,6,1]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,-,5,-,6,1]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[3,+,5,6,1,4]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,-,5,6,1,4]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[3,+,5,6,4,1]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,-,5,6,4,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[3,+,6,1,4,5]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,-,6,1,4,5]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,+,6,1,+,4]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,-,6,1,+,4]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,+,6,1,-,4]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,-,6,1,-,4]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,+,6,+,1,5]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,-,6,+,1,5]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,+,6,-,1,5]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,-,6,-,1,5]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[3,+,6,+,+,1]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,-,6,+,+,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,+,6,-,+,1]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,+,6,+,-,1]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,-,6,-,+,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[3,-,6,+,-,1]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,+,6,-,-,1]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,-,6,-,-,1]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[3,+,6,5,1,4]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,-,6,5,1,4]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[3,+,6,5,4,1]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,-,6,5,4,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[3,4,1,2,+,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,4,1,2,-,+]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,4,1,2,+,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[3,4,1,2,-,-]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[3,4,1,2,6,5]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,4,1,5,2,+]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[3,4,1,5,2,-]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[3,4,1,5,6,2]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,4,1,6,2,5]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[3,4,1,6,+,2]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[3,4,1,6,-,2]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,4,2,1,+,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,4,2,1,-,+]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,4,2,1,+,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[3,4,2,1,-,-]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[3,4,2,1,6,5]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,4,2,5,1,+]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[3,4,2,5,1,-]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[3,4,2,5,6,1]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,4,2,6,1,5]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[3,4,2,6,+,1]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[3,4,2,6,-,1]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,4,5,1,2,+]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,4,5,1,2,-]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[3,4,5,1,6,2]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,4,5,2,1,+]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,4,5,2,1,-]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[3,4,5,2,6,1]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,4,5,6,1,2]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[3,4,5,6,2,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[3,4,6,1,2,5]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,4,6,1,+,2]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,4,6,1,-,2]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,4,6,2,1,5]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,4,6,2,+,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,4,6,2,-,1]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,4,6,5,1,2]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[3,4,6,5,2,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[3,5,1,2,4,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,5,1,2,4,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[3,5,1,2,6,4]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,5,1,+,2,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,5,1,-,2,+]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[3,5,1,+,2,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[3,5,1,-,2,-]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[3,5,1,+,6,2]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,5,1,-,6,2]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,5,1,6,2,4]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[3,5,1,6,4,2]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[3,5,2,1,4,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,5,2,1,4,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[3,5,2,1,6,4]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,5,2,+,1,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,5,2,-,1,+]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[3,5,2,+,1,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[3,5,2,-,1,-]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[3,5,2,+,6,1]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,5,2,-,6,1]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,5,2,6,1,4]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[3,5,2,6,4,1]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[3,5,4,1,2,+]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,5,4,1,2,-]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[3,5,4,1,6,2]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,5,4,2,1,+]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,5,4,2,1,-]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[3,5,4,2,6,1]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,5,4,6,1,2]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[3,5,4,6,2,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[3,5,6,1,2,4]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,5,6,1,4,2]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,5,6,2,1,4]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,5,6,2,4,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,5,6,+,1,2]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,5,6,-,1,2]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[3,5,6,+,2,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,5,6,-,2,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[3,6,1,2,4,5]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,6,1,2,+,4]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,6,1,2,-,4]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,6,1,+,2,5]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,6,1,-,2,5]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[3,6,1,+,+,2]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,6,1,-,+,2]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[3,6,1,+,-,2]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,6,1,-,-,2]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,6,1,5,2,4]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[3,6,1,5,4,2]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[3,6,2,1,4,5]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,6,2,1,+,4]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,6,2,1,-,4]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,6,2,+,1,5]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,6,2,-,1,5]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[3,6,2,+,+,1]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,6,2,-,+,1]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[3,6,2,+,-,1]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,6,2,-,-,1]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,6,2,5,1,4]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[3,6,2,5,4,1]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[3,6,4,1,2,5]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,6,4,1,+,2]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,6,4,1,-,2]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,6,4,2,1,5]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,6,4,2,+,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,6,4,2,-,1]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,6,4,5,1,2]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[3,6,4,5,2,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[3,6,5,1,2,4]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,6,5,1,4,2]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,6,5,2,1,4]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,6,5,2,4,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,6,5,+,1,2]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,6,5,-,1,2]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[3,6,5,+,2,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,6,5,-,2,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[4,1,2,3,+,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[4,1,2,3,-,+]=>[2,3,4,6,1,5]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[4,1,2,3,+,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,1,2,3,-,-]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,1,2,3,6,5]=>[2,3,4,6,1,5]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[4,1,2,5,3,+]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[4,1,2,5,3,-]=>[2,3,5,1,4,6]=>[4,2,3,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,1,2,5,6,3]=>[2,3,6,1,4,5]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[4,1,2,6,3,5]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[4,1,2,6,+,3]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[4,1,2,6,-,3]=>[2,3,6,1,4,5]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[4,1,+,2,+,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[4,1,-,2,+,+]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,1,+,2,-,+]=>[2,3,4,6,1,5]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[4,1,+,2,+,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,1,-,2,-,+]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,1,-,2,+,-]=>[2,4,5,1,3,6]=>[3,2,5,4,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[4,1,+,2,-,-]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,1,-,2,-,-]=>[2,4,1,3,5,6]=>[3,2,4,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,1,+,2,6,5]=>[2,3,4,6,1,5]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[4,1,-,2,6,5]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,1,+,5,2,+]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[4,1,-,5,2,+]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[4,1,+,5,2,-]=>[2,3,5,1,4,6]=>[4,2,3,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,1,-,5,2,-]=>[2,5,1,3,4,6]=>[3,2,4,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,1,+,5,6,2]=>[2,3,6,1,4,5]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[4,1,-,5,6,2]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[4,1,+,6,2,5]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[4,1,-,6,2,5]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[4,1,+,6,+,2]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[4,1,-,6,+,2]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[4,1,+,6,-,2]=>[2,3,6,1,4,5]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[4,1,-,6,-,2]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[4,1,5,2,3,+]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,1,5,2,3,-]=>[2,4,5,1,3,6]=>[3,2,5,4,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[4,1,5,2,6,3]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,1,5,3,2,+]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,1,5,3,2,-]=>[2,4,5,1,3,6]=>[3,2,5,4,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[4,1,5,3,6,2]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,1,5,6,2,3]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[4,1,5,6,3,2]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[4,1,6,2,3,5]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,1,6,2,+,3]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,1,6,2,-,3]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,1,6,3,2,5]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,1,6,3,+,2]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,1,6,3,-,2]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,1,6,5,2,3]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[4,1,6,5,3,2]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[4,+,1,3,+,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[4,-,1,3,+,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,+,1,3,-,+]=>[2,3,4,6,1,5]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[4,+,1,3,+,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,-,1,3,-,+]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,-,1,3,+,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,+,1,3,-,-]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,-,1,3,-,-]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[4,+,1,3,6,5]=>[2,3,4,6,1,5]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[4,-,1,3,6,5]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,+,1,5,3,+]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[4,-,1,5,3,+]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[4,+,1,5,3,-]=>[2,3,5,1,4,6]=>[4,2,3,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,-,1,5,3,-]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,+,1,5,6,3]=>[2,3,6,1,4,5]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[4,-,1,5,6,3]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,+,1,6,3,5]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[4,-,1,6,3,5]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[4,+,1,6,+,3]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[4,-,1,6,+,3]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[4,+,1,6,-,3]=>[2,3,6,1,4,5]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[4,-,1,6,-,3]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,+,+,1,+,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[4,-,+,1,+,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,+,-,1,+,+]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,+,+,1,-,+]=>[2,3,4,6,1,5]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[4,+,+,1,+,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,-,-,1,+,+]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,-,+,1,-,+]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,-,+,1,+,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,+,-,1,-,+]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,+,-,1,+,-]=>[2,4,5,1,3,6]=>[3,2,5,4,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[4,+,+,1,-,-]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,-,-,1,-,+]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,-,-,1,+,-]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[4,-,+,1,-,-]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[4,+,-,1,-,-]=>[2,4,1,3,5,6]=>[3,2,4,1,5,6]=>[[[.,.],[.,.]],[.,[.,.]]]
[4,-,-,1,-,-]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[[.,[.,[.,.]]],[.,[.,.]]]
[4,+,+,1,6,5]=>[2,3,4,6,1,5]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[4,-,+,1,6,5]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,+,-,1,6,5]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,-,-,1,6,5]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,+,+,5,1,+]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[4,-,+,5,1,+]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[4,+,-,5,1,+]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[4,+,+,5,1,-]=>[2,3,5,1,4,6]=>[4,2,3,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,-,-,5,1,+]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[4,-,+,5,1,-]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,+,-,5,1,-]=>[2,5,1,3,4,6]=>[3,2,4,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[4,-,-,5,1,-]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[[.,[.,[.,[.,.]]]],[.,.]]
[4,+,+,5,6,1]=>[2,3,6,1,4,5]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[4,-,+,5,6,1]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,+,-,5,6,1]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[4,-,-,5,6,1]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[4,+,+,6,1,5]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[4,-,+,6,1,5]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[4,+,-,6,1,5]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[4,-,-,6,1,5]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[4,+,+,6,+,1]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[4,-,+,6,+,1]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[4,+,-,6,+,1]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[4,+,+,6,-,1]=>[2,3,6,1,4,5]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[4,-,-,6,+,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[4,-,+,6,-,1]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,+,-,6,-,1]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[4,-,-,6,-,1]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[4,+,5,1,3,+]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,-,5,1,3,+]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,+,5,1,3,-]=>[2,4,5,1,3,6]=>[3,2,5,4,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[4,-,5,1,3,-]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[4,+,5,1,6,3]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,-,5,1,6,3]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,+,5,3,1,+]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,-,5,3,1,+]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,+,5,3,1,-]=>[2,4,5,1,3,6]=>[3,2,5,4,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[4,-,5,3,1,-]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[4,+,5,3,6,1]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,-,5,3,6,1]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,+,5,6,1,3]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[4,-,5,6,1,3]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[4,+,5,6,3,1]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[4,-,5,6,3,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[4,+,6,1,3,5]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,-,6,1,3,5]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,+,6,1,+,3]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,-,6,1,+,3]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,+,6,1,-,3]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,-,6,1,-,3]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,+,6,3,1,5]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,-,6,3,1,5]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,+,6,3,+,1]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,-,6,3,+,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,+,6,3,-,1]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,-,6,3,-,1]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,+,6,5,1,3]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[4,-,6,5,1,3]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[4,+,6,5,3,1]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[4,-,6,5,3,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[4,3,1,2,+,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,3,1,2,-,+]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,3,1,2,+,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,3,1,2,-,-]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[4,3,1,2,6,5]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,3,1,5,2,+]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[4,3,1,5,2,-]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,3,1,5,6,2]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,3,1,6,2,5]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[4,3,1,6,+,2]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[4,3,1,6,-,2]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,3,2,1,+,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,3,2,1,-,+]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,3,2,1,+,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,3,2,1,-,-]=>[3,4,1,2,5,6]=>[2,4,3,1,5,6]=>[[.,[[.,.],.]],[.,[.,.]]]
[4,3,2,1,6,5]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,3,2,5,1,+]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[4,3,2,5,1,-]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,3,2,5,6,1]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,3,2,6,1,5]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[4,3,2,6,+,1]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[4,3,2,6,-,1]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,3,5,1,2,+]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,3,5,1,2,-]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[4,3,5,1,6,2]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,3,5,2,1,+]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,3,5,2,1,-]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[4,3,5,2,6,1]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,3,5,6,1,2]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[4,3,5,6,2,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[4,3,6,1,2,5]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,3,6,1,+,2]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,3,6,1,-,2]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,3,6,2,1,5]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,3,6,2,+,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,3,6,2,-,1]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,3,6,5,1,2]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[4,3,6,5,2,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[4,5,1,2,3,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,5,1,2,3,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,5,1,2,6,3]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,5,1,3,2,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,5,1,3,2,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,5,1,3,6,2]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,5,1,6,2,3]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[4,5,1,6,3,2]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[4,5,2,1,3,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,5,2,1,3,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,5,2,1,6,3]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,5,2,3,1,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,5,2,3,1,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,5,2,3,6,1]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,5,2,6,1,3]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[4,5,2,6,3,1]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[4,5,+,1,2,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,5,-,1,2,+]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,5,+,1,2,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,5,-,1,2,-]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[4,5,+,1,6,2]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,5,-,1,6,2]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,5,+,2,1,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,5,-,2,1,+]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,5,+,2,1,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[4,5,-,2,1,-]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[4,5,+,2,6,1]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,5,-,2,6,1]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,5,+,6,1,2]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[4,5,-,6,1,2]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[4,5,+,6,2,1]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[4,5,-,6,2,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[4,5,6,1,2,3]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,5,6,1,3,2]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,5,6,2,1,3]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,5,6,2,3,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,5,6,3,1,2]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,5,6,3,2,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,6,1,2,3,5]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,6,1,2,+,3]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,6,1,2,-,3]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,6,1,3,2,5]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,6,1,3,+,2]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,6,1,3,-,2]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,6,1,5,2,3]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[4,6,1,5,3,2]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[4,6,2,1,3,5]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,6,2,1,+,3]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,6,2,1,-,3]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,6,2,3,1,5]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,6,2,3,+,1]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,6,2,3,-,1]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,6,2,5,1,3]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[4,6,2,5,3,1]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[4,6,+,1,2,5]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,6,-,1,2,5]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,6,+,1,+,2]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,6,-,1,+,2]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,6,+,1,-,2]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,6,-,1,-,2]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,6,+,2,1,5]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,6,-,2,1,5]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,6,+,2,+,1]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,6,-,2,+,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,6,+,2,-,1]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[4,6,-,2,-,1]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,6,+,5,1,2]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[4,6,-,5,1,2]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[4,6,+,5,2,1]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[4,6,-,5,2,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[4,6,5,1,2,3]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,6,5,1,3,2]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,6,5,2,1,3]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,6,5,2,3,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,6,5,3,1,2]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,6,5,3,2,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,1,2,3,4,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[5,1,2,3,4,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,1,2,3,6,4]=>[2,3,4,6,1,5]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[5,1,2,+,3,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[5,1,2,-,3,+]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,1,2,+,3,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,1,2,-,3,-]=>[2,3,5,1,4,6]=>[4,2,3,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,1,2,+,6,3]=>[2,3,4,6,1,5]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[5,1,2,-,6,3]=>[2,3,6,1,4,5]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[5,1,2,6,3,4]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,1,2,6,4,3]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,1,+,2,4,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[5,1,-,2,4,+]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,1,+,2,4,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,1,-,2,4,-]=>[2,4,5,1,3,6]=>[3,2,5,4,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[5,1,+,2,6,4]=>[2,3,4,6,1,5]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[5,1,-,2,6,4]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,1,+,+,2,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[5,1,-,+,2,+]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,1,+,-,2,+]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,1,+,+,2,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,1,-,-,2,+]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,1,-,+,2,-]=>[2,4,5,1,3,6]=>[3,2,5,4,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[5,1,+,-,2,-]=>[2,3,5,1,4,6]=>[4,2,3,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,1,-,-,2,-]=>[2,5,1,3,4,6]=>[3,2,4,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,1,+,+,6,2]=>[2,3,4,6,1,5]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[5,1,-,+,6,2]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,1,+,-,6,2]=>[2,3,6,1,4,5]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[5,1,-,-,6,2]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[5,1,+,6,2,4]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,1,-,6,2,4]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,1,+,6,4,2]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,1,-,6,4,2]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,1,4,2,3,+]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,1,4,2,3,-]=>[2,4,5,1,3,6]=>[3,2,5,4,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[5,1,4,2,6,3]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,1,4,3,2,+]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,1,4,3,2,-]=>[2,4,5,1,3,6]=>[3,2,5,4,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[5,1,4,3,6,2]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,1,4,6,2,3]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,1,4,6,3,2]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,1,6,2,3,4]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,1,6,2,4,3]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,1,6,3,2,4]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,1,6,3,4,2]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,1,6,+,2,3]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,1,6,-,2,3]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,1,6,+,3,2]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,1,6,-,3,2]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,+,1,3,4,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[5,-,1,3,4,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,+,1,3,4,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,-,1,3,4,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,+,1,3,6,4]=>[2,3,4,6,1,5]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[5,-,1,3,6,4]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,+,1,+,3,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[5,-,1,+,3,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,+,1,-,3,+]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,+,1,+,3,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,-,1,-,3,+]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[5,-,1,+,3,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,+,1,-,3,-]=>[2,3,5,1,4,6]=>[4,2,3,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,-,1,-,3,-]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,+,1,+,6,3]=>[2,3,4,6,1,5]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[5,-,1,+,6,3]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,+,1,-,6,3]=>[2,3,6,1,4,5]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[5,-,1,-,6,3]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,+,1,6,3,4]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,-,1,6,3,4]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[5,+,1,6,4,3]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,-,1,6,4,3]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[5,+,+,1,4,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[5,-,+,1,4,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,+,-,1,4,+]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,+,+,1,4,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,-,-,1,4,+]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,-,+,1,4,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,+,-,1,4,-]=>[2,4,5,1,3,6]=>[3,2,5,4,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[5,-,-,1,4,-]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[5,+,+,1,6,4]=>[2,3,4,6,1,5]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[5,-,+,1,6,4]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,+,-,1,6,4]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,-,-,1,6,4]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,+,+,+,1,+]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[5,-,+,+,1,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,+,-,+,1,+]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,+,+,-,1,+]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,+,+,+,1,-]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,-,-,+,1,+]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,-,+,-,1,+]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[5,-,+,+,1,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,+,-,-,1,+]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,+,-,+,1,-]=>[2,4,5,1,3,6]=>[3,2,5,4,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[5,+,+,-,1,-]=>[2,3,5,1,4,6]=>[4,2,3,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,-,-,-,1,+]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[5,-,-,+,1,-]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[5,-,+,-,1,-]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,+,-,-,1,-]=>[2,5,1,3,4,6]=>[3,2,4,5,1,6]=>[[[.,.],[.,[.,.]]],[.,.]]
[5,-,-,-,1,-]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[[.,[.,[.,[.,.]]]],[.,.]]
[5,+,+,+,6,1]=>[2,3,4,6,1,5]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[5,-,+,+,6,1]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,+,-,+,6,1]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,+,+,-,6,1]=>[2,3,6,1,4,5]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[5,-,-,+,6,1]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,-,+,-,6,1]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,+,-,-,6,1]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[5,-,-,-,6,1]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[5,+,+,6,1,4]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,-,+,6,1,4]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[5,+,-,6,1,4]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,-,-,6,1,4]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[5,+,+,6,4,1]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,-,+,6,4,1]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[5,+,-,6,4,1]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,-,-,6,4,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[5,+,4,1,3,+]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,-,4,1,3,+]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,+,4,1,3,-]=>[2,4,5,1,3,6]=>[3,2,5,4,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[5,-,4,1,3,-]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[5,+,4,1,6,3]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,-,4,1,6,3]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,+,4,3,1,+]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,-,4,3,1,+]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,+,4,3,1,-]=>[2,4,5,1,3,6]=>[3,2,5,4,1,6]=>[[[.,.],[[.,.],.]],[.,.]]
[5,-,4,3,1,-]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[5,+,4,3,6,1]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,-,4,3,6,1]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,+,4,6,1,3]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,-,4,6,1,3]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[5,+,4,6,3,1]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,-,4,6,3,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[5,+,6,1,3,4]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,-,6,1,3,4]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,+,6,1,4,3]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,-,6,1,4,3]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,+,6,3,1,4]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,-,6,3,1,4]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,+,6,3,4,1]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,-,6,3,4,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,+,6,+,1,3]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,-,6,+,1,3]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,+,6,-,1,3]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,-,6,-,1,3]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[5,+,6,+,3,1]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[5,-,6,+,3,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,+,6,-,3,1]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,-,6,-,3,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[5,3,1,2,4,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,3,1,2,4,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,3,1,2,6,4]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,3,1,+,2,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,3,1,-,2,+]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[5,3,1,+,2,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,3,1,-,2,-]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,3,1,+,6,2]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,3,1,-,6,2]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,3,1,6,2,4]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[5,3,1,6,4,2]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[5,3,2,1,4,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,3,2,1,4,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,3,2,1,6,4]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,3,2,+,1,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,3,2,-,1,+]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[5,3,2,+,1,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,3,2,-,1,-]=>[3,5,1,2,4,6]=>[2,4,3,5,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,3,2,+,6,1]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,3,2,-,6,1]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,3,2,6,1,4]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[5,3,2,6,4,1]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[5,3,4,1,2,+]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,3,4,1,2,-]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[5,3,4,1,6,2]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,3,4,2,1,+]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,3,4,2,1,-]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[5,3,4,2,6,1]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,3,4,6,1,2]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[5,3,4,6,2,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[5,3,6,1,2,4]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,3,6,1,4,2]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,3,6,2,1,4]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,3,6,2,4,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,3,6,+,1,2]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,3,6,-,1,2]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[5,3,6,+,2,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,3,6,-,2,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[5,4,1,2,3,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,4,1,2,3,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,4,1,2,6,3]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,4,1,3,2,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,4,1,3,2,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,4,1,3,6,2]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,4,1,6,2,3]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[5,4,1,6,3,2]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[5,4,2,1,3,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,4,2,1,3,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,4,2,1,6,3]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,4,2,3,1,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,4,2,3,1,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,4,2,3,6,1]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,4,2,6,1,3]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[5,4,2,6,3,1]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[5,4,+,1,2,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,4,-,1,2,+]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,4,+,1,2,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,4,-,1,2,-]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[5,4,+,1,6,2]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,4,-,1,6,2]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,4,+,2,1,+]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,4,-,2,1,+]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,4,+,2,1,-]=>[3,4,5,1,2,6]=>[2,5,3,4,1,6]=>[[.,[[.,.],[.,.]]],[.,.]]
[5,4,-,2,1,-]=>[4,5,1,2,3,6]=>[2,3,5,4,1,6]=>[[.,[.,[[.,.],.]]],[.,.]]
[5,4,+,2,6,1]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,4,-,2,6,1]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,4,+,6,1,2]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[5,4,-,6,1,2]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[5,4,+,6,2,1]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[5,4,-,6,2,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[5,4,6,1,2,3]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,4,6,1,3,2]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,4,6,2,1,3]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,4,6,2,3,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,4,6,3,1,2]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,4,6,3,2,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,6,1,2,3,4]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,6,1,2,4,3]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,6,1,3,2,4]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,6,1,3,4,2]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,6,1,+,2,3]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,6,1,-,2,3]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[5,6,1,+,3,2]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,6,1,-,3,2]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[5,6,2,1,3,4]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,6,2,1,4,3]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,6,2,3,1,4]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,6,2,3,4,1]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,6,2,+,1,3]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,6,2,-,1,3]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[5,6,2,+,3,1]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,6,2,-,3,1]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[5,6,+,1,2,4]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,6,-,1,2,4]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,6,+,1,4,2]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,6,-,1,4,2]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,6,+,2,1,4]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,6,-,2,1,4]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,6,+,2,4,1]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,6,-,2,4,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,6,+,+,1,2]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,6,-,+,1,2]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,6,+,-,1,2]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[5,6,-,-,1,2]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[5,6,+,+,2,1]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,6,-,+,2,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,6,+,-,2,1]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[5,6,-,-,2,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[5,6,4,1,2,3]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,6,4,1,3,2]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,6,4,2,1,3]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,6,4,2,3,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,6,4,3,1,2]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[5,6,4,3,2,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,1,2,3,+,4]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,1,2,3,-,4]=>[2,3,4,6,1,5]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,1,2,+,3,5]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,1,2,-,3,5]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[6,1,2,+,+,3]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,1,2,-,+,3]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[6,1,2,+,-,3]=>[2,3,4,6,1,5]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,1,2,-,-,3]=>[2,3,6,1,4,5]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,1,2,5,3,4]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[6,1,2,5,4,3]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[6,1,+,2,4,5]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,1,-,2,4,5]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,1,+,2,+,4]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,1,-,2,+,4]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,1,+,2,-,4]=>[2,3,4,6,1,5]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,1,-,2,-,4]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,1,+,+,2,5]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,1,-,+,2,5]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,1,+,-,2,5]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[6,1,-,-,2,5]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[6,1,+,+,+,2]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,1,-,+,+,2]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,1,+,-,+,2]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[6,1,+,+,-,2]=>[2,3,4,6,1,5]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,1,-,-,+,2]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[6,1,-,+,-,2]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,1,+,-,-,2]=>[2,3,6,1,4,5]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,1,-,-,-,2]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,1,+,5,2,4]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[6,1,-,5,2,4]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[6,1,+,5,4,2]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[6,1,-,5,4,2]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[6,1,4,2,3,5]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,1,4,2,+,3]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,1,4,2,-,3]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,1,4,3,2,5]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,1,4,3,+,2]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,1,4,3,-,2]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,1,4,5,2,3]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[6,1,4,5,3,2]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[6,1,5,2,3,4]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,1,5,2,4,3]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,1,5,3,2,4]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,1,5,3,4,2]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,1,5,+,2,3]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,1,5,-,2,3]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[6,1,5,+,3,2]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,1,5,-,3,2]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[6,+,1,3,4,5]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,-,1,3,4,5]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,+,1,3,+,4]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,-,1,3,+,4]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,+,1,3,-,4]=>[2,3,4,6,1,5]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,-,1,3,-,4]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,+,1,+,3,5]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,-,1,+,3,5]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,+,1,-,3,5]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[6,-,1,-,3,5]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[6,+,1,+,+,3]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,-,1,+,+,3]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,+,1,-,+,3]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[6,+,1,+,-,3]=>[2,3,4,6,1,5]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,-,1,-,+,3]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[6,-,1,+,-,3]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,+,1,-,-,3]=>[2,3,6,1,4,5]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,-,1,-,-,3]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,+,1,5,3,4]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[6,-,1,5,3,4]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[6,+,1,5,4,3]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[6,-,1,5,4,3]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[6,+,+,1,4,5]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,-,+,1,4,5]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,+,-,1,4,5]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,-,-,1,4,5]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,+,+,1,+,4]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,-,+,1,+,4]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,+,-,1,+,4]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,+,+,1,-,4]=>[2,3,4,6,1,5]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,-,-,1,+,4]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,-,+,1,-,4]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,+,-,1,-,4]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,-,-,1,-,4]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,+,+,+,1,5]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,-,+,+,1,5]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,+,-,+,1,5]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,+,+,-,1,5]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[6,-,-,+,1,5]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,-,+,-,1,5]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[6,+,-,-,1,5]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[6,-,-,-,1,5]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[6,+,+,+,+,1]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,-,+,+,+,1]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,+,-,+,+,1]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,+,+,-,+,1]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[6,+,+,+,-,1]=>[2,3,4,6,1,5]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,-,-,+,+,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,-,+,-,+,1]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[6,-,+,+,-,1]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,+,-,-,+,1]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[6,+,-,+,-,1]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,+,+,-,-,1]=>[2,3,6,1,4,5]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,-,-,-,+,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[6,-,-,+,-,1]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,-,+,-,-,1]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,+,-,-,-,1]=>[2,6,1,3,4,5]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,-,-,-,-,1]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[6,+,+,5,1,4]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[6,-,+,5,1,4]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[6,+,-,5,1,4]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[6,-,-,5,1,4]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[6,+,+,5,4,1]=>[2,3,5,6,1,4]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[6,-,+,5,4,1]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[6,+,-,5,4,1]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[6,-,-,5,4,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[6,+,4,1,3,5]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,-,4,1,3,5]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,+,4,1,+,3]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,-,4,1,+,3]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,+,4,1,-,3]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,-,4,1,-,3]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,+,4,3,1,5]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,-,4,3,1,5]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,+,4,3,+,1]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,-,4,3,+,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,+,4,3,-,1]=>[2,4,6,1,3,5]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,-,4,3,-,1]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,+,4,5,1,3]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[6,-,4,5,1,3]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[6,+,4,5,3,1]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[6,-,4,5,3,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[6,+,5,1,3,4]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,-,5,1,3,4]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,+,5,1,4,3]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,-,5,1,4,3]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,+,5,3,1,4]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,-,5,3,1,4]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,+,5,3,4,1]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,-,5,3,4,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,+,5,+,1,3]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,-,5,+,1,3]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,+,5,-,1,3]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[6,-,5,-,1,3]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[6,+,5,+,3,1]=>[2,4,5,6,1,3]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,-,5,+,3,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,+,5,-,3,1]=>[2,5,6,1,3,4]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[6,-,5,-,3,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[6,3,1,2,4,5]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,3,1,2,+,4]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,3,1,2,-,4]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,3,1,+,2,5]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,3,1,-,2,5]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[6,3,1,+,+,2]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,3,1,-,+,2]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[6,3,1,+,-,2]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,3,1,-,-,2]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,3,1,5,2,4]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[6,3,1,5,4,2]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[6,3,2,1,4,5]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,3,2,1,+,4]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,3,2,1,-,4]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,3,2,+,1,5]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,3,2,-,1,5]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[6,3,2,+,+,1]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,3,2,-,+,1]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[6,3,2,+,-,1]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,3,2,-,-,1]=>[3,6,1,2,4,5]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,3,2,5,1,4]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[6,3,2,5,4,1]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[6,3,4,1,2,5]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,3,4,1,+,2]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,3,4,1,-,2]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,3,4,2,1,5]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,3,4,2,+,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,3,4,2,-,1]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,3,4,5,1,2]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[6,3,4,5,2,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[6,3,5,1,2,4]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,3,5,1,4,2]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,3,5,2,1,4]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,3,5,2,4,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,3,5,+,1,2]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,3,5,-,1,2]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[6,3,5,+,2,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,3,5,-,2,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[6,4,1,2,3,5]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,4,1,2,+,3]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,4,1,2,-,3]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,4,1,3,2,5]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,4,1,3,+,2]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,4,1,3,-,2]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,4,1,5,2,3]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[6,4,1,5,3,2]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[6,4,2,1,3,5]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,4,2,1,+,3]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,4,2,1,-,3]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,4,2,3,1,5]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,4,2,3,+,1]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,4,2,3,-,1]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,4,2,5,1,3]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[6,4,2,5,3,1]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[6,4,+,1,2,5]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,4,-,1,2,5]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,4,+,1,+,2]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,4,-,1,+,2]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,4,+,1,-,2]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,4,-,1,-,2]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,4,+,2,1,5]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,4,-,2,1,5]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,4,+,2,+,1]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,4,-,2,+,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,4,+,2,-,1]=>[3,4,6,1,2,5]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,4,-,2,-,1]=>[4,6,1,2,3,5]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,4,+,5,1,2]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[6,4,-,5,1,2]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[6,4,+,5,2,1]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[6,4,-,5,2,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[6,4,5,1,2,3]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,4,5,1,3,2]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,4,5,2,1,3]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,4,5,2,3,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,4,5,3,1,2]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,4,5,3,2,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,5,1,2,3,4]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,5,1,2,4,3]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,5,1,3,2,4]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,5,1,3,4,2]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,5,1,+,2,3]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,5,1,-,2,3]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[6,5,1,+,3,2]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,5,1,-,3,2]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[6,5,2,1,3,4]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,5,2,1,4,3]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,5,2,3,1,4]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,5,2,3,4,1]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,5,2,+,1,3]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,5,2,-,1,3]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[6,5,2,+,3,1]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,5,2,-,3,1]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[6,5,+,1,2,4]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,5,-,1,2,4]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,5,+,1,4,2]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,5,-,1,4,2]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,5,+,2,1,4]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,5,-,2,1,4]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,5,+,2,4,1]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,5,-,2,4,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,5,+,+,1,2]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,5,-,+,1,2]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,5,+,-,1,2]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[6,5,-,-,1,2]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[6,5,+,+,2,1]=>[3,4,5,6,1,2]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,5,-,+,2,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,5,+,-,2,1]=>[3,5,6,1,2,4]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[6,5,-,-,2,1]=>[5,6,1,2,3,4]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[6,5,4,1,2,3]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,5,4,1,3,2]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,5,4,2,1,3]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,5,4,2,3,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,5,4,3,1,2]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,5,4,3,2,1]=>[4,5,6,1,2,3]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
Map
upper permutation
Description
The upper bound in the Grassmann interval corresponding to the decorated permutation.
Let $I$ be the anti-exceedance set of a decorated permutation $w$. Let $v$ be the $k$-Grassmannian permutation determined by $v[k] = w^{-1}(I)$ and let $u$ be the permutation satisfying $u = wv$. Then $[u, v]$ is the Grassmann interval corresponding to $w$.
This map returns $v$.
Let $I$ be the anti-exceedance set of a decorated permutation $w$. Let $v$ be the $k$-Grassmannian permutation determined by $v[k] = w^{-1}(I)$ and let $u$ be the permutation satisfying $u = wv$. Then $[u, v]$ is the Grassmann interval corresponding to $w$.
This map returns $v$.
Map
first fundamental transformation
Description
Return the permutation whose cycles are the subsequences between successive left to right maxima.
Map
to increasing tree
Description
Sends a permutation to its associated increasing tree.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.
searching the database
Sorry, this map was not found in the database.