Identifier
-
Mp00253:
Decorated permutations
—permutation⟶
Permutations
Mp00060: Permutations —Robinson-Schensted tableau shape⟶ Integer partitions
Mp00202: Integer partitions —first row removal⟶ Integer partitions
St001604: Integer partitions ⟶ ℤ
Values
=>
Cc0002;cc-rep-2
Cc0002;cc-rep
[4,3,2,1]=>[4,3,2,1]=>[1,1,1,1]=>[1,1,1]=>0
[+,5,4,3,2]=>[1,5,4,3,2]=>[2,1,1,1]=>[1,1,1]=>0
[-,5,4,3,2]=>[1,5,4,3,2]=>[2,1,1,1]=>[1,1,1]=>0
[2,1,5,+,3]=>[2,1,5,4,3]=>[2,2,1]=>[2,1]=>0
[2,1,5,-,3]=>[2,1,5,4,3]=>[2,2,1]=>[2,1]=>0
[2,5,1,+,3]=>[2,5,1,4,3]=>[2,2,1]=>[2,1]=>0
[2,5,1,-,3]=>[2,5,1,4,3]=>[2,2,1]=>[2,1]=>0
[2,5,4,1,3]=>[2,5,4,1,3]=>[2,2,1]=>[2,1]=>0
[2,5,4,3,1]=>[2,5,4,3,1]=>[2,1,1,1]=>[1,1,1]=>0
[3,1,5,+,2]=>[3,1,5,4,2]=>[2,2,1]=>[2,1]=>0
[3,1,5,-,2]=>[3,1,5,4,2]=>[2,2,1]=>[2,1]=>0
[3,+,1,5,4]=>[3,2,1,5,4]=>[2,2,1]=>[2,1]=>0
[3,-,1,5,4]=>[3,2,1,5,4]=>[2,2,1]=>[2,1]=>0
[3,+,5,1,4]=>[3,2,5,1,4]=>[2,2,1]=>[2,1]=>0
[3,-,5,1,4]=>[3,2,5,1,4]=>[2,2,1]=>[2,1]=>0
[3,+,5,+,1]=>[3,2,5,4,1]=>[2,2,1]=>[2,1]=>0
[3,-,5,+,1]=>[3,2,5,4,1]=>[2,2,1]=>[2,1]=>0
[3,+,5,-,1]=>[3,2,5,4,1]=>[2,2,1]=>[2,1]=>0
[3,-,5,-,1]=>[3,2,5,4,1]=>[2,2,1]=>[2,1]=>0
[3,5,1,+,2]=>[3,5,1,4,2]=>[2,2,1]=>[2,1]=>0
[3,5,1,-,2]=>[3,5,1,4,2]=>[2,2,1]=>[2,1]=>0
[3,5,2,1,4]=>[3,5,2,1,4]=>[2,2,1]=>[2,1]=>0
[3,5,2,+,1]=>[3,5,2,4,1]=>[2,2,1]=>[2,1]=>0
[3,5,2,-,1]=>[3,5,2,4,1]=>[2,2,1]=>[2,1]=>0
[3,5,4,1,2]=>[3,5,4,1,2]=>[2,2,1]=>[2,1]=>0
[3,5,4,2,1]=>[3,5,4,2,1]=>[2,1,1,1]=>[1,1,1]=>0
[4,1,5,3,2]=>[4,1,5,3,2]=>[2,2,1]=>[2,1]=>0
[4,+,1,5,3]=>[4,2,1,5,3]=>[2,2,1]=>[2,1]=>0
[4,-,1,5,3]=>[4,2,1,5,3]=>[2,2,1]=>[2,1]=>0
[4,+,5,1,3]=>[4,2,5,1,3]=>[2,2,1]=>[2,1]=>0
[4,-,5,1,3]=>[4,2,5,1,3]=>[2,2,1]=>[2,1]=>0
[4,+,5,3,1]=>[4,2,5,3,1]=>[2,2,1]=>[2,1]=>0
[4,-,5,3,1]=>[4,2,5,3,1]=>[2,2,1]=>[2,1]=>0
[4,3,1,5,2]=>[4,3,1,5,2]=>[2,2,1]=>[2,1]=>0
[4,3,2,1,+]=>[4,3,2,1,5]=>[2,1,1,1]=>[1,1,1]=>0
[4,3,2,1,-]=>[4,3,2,1,5]=>[2,1,1,1]=>[1,1,1]=>0
[4,3,2,5,1]=>[4,3,2,5,1]=>[2,1,1,1]=>[1,1,1]=>0
[4,3,5,1,2]=>[4,3,5,1,2]=>[2,2,1]=>[2,1]=>0
[4,3,5,2,1]=>[4,3,5,2,1]=>[2,1,1,1]=>[1,1,1]=>0
[4,5,1,3,2]=>[4,5,1,3,2]=>[2,2,1]=>[2,1]=>0
[4,5,2,1,3]=>[4,5,2,1,3]=>[2,2,1]=>[2,1]=>0
[4,5,2,3,1]=>[4,5,2,3,1]=>[2,2,1]=>[2,1]=>0
[4,5,+,1,2]=>[4,5,3,1,2]=>[2,2,1]=>[2,1]=>0
[4,5,-,1,2]=>[4,5,3,1,2]=>[2,2,1]=>[2,1]=>0
[4,5,+,2,1]=>[4,5,3,2,1]=>[2,1,1,1]=>[1,1,1]=>0
[4,5,-,2,1]=>[4,5,3,2,1]=>[2,1,1,1]=>[1,1,1]=>0
[5,1,4,3,2]=>[5,1,4,3,2]=>[2,1,1,1]=>[1,1,1]=>0
[5,+,1,+,3]=>[5,2,1,4,3]=>[2,2,1]=>[2,1]=>0
[5,-,1,+,3]=>[5,2,1,4,3]=>[2,2,1]=>[2,1]=>0
[5,+,1,-,3]=>[5,2,1,4,3]=>[2,2,1]=>[2,1]=>0
[5,-,1,-,3]=>[5,2,1,4,3]=>[2,2,1]=>[2,1]=>0
[5,+,4,1,3]=>[5,2,4,1,3]=>[2,2,1]=>[2,1]=>0
[5,-,4,1,3]=>[5,2,4,1,3]=>[2,2,1]=>[2,1]=>0
[5,+,4,3,1]=>[5,2,4,3,1]=>[2,1,1,1]=>[1,1,1]=>0
[5,-,4,3,1]=>[5,2,4,3,1]=>[2,1,1,1]=>[1,1,1]=>0
[5,3,1,+,2]=>[5,3,1,4,2]=>[2,2,1]=>[2,1]=>0
[5,3,1,-,2]=>[5,3,1,4,2]=>[2,2,1]=>[2,1]=>0
[5,3,2,1,4]=>[5,3,2,1,4]=>[2,1,1,1]=>[1,1,1]=>0
[5,3,2,+,1]=>[5,3,2,4,1]=>[2,1,1,1]=>[1,1,1]=>0
[5,3,2,-,1]=>[5,3,2,4,1]=>[2,1,1,1]=>[1,1,1]=>0
[5,3,4,1,2]=>[5,3,4,1,2]=>[2,2,1]=>[2,1]=>0
[5,3,4,2,1]=>[5,3,4,2,1]=>[2,1,1,1]=>[1,1,1]=>0
[5,4,1,3,2]=>[5,4,1,3,2]=>[2,1,1,1]=>[1,1,1]=>0
[5,4,2,1,3]=>[5,4,2,1,3]=>[2,1,1,1]=>[1,1,1]=>0
[5,4,2,3,1]=>[5,4,2,3,1]=>[2,1,1,1]=>[1,1,1]=>0
[5,4,+,1,2]=>[5,4,3,1,2]=>[2,1,1,1]=>[1,1,1]=>0
[5,4,-,1,2]=>[5,4,3,1,2]=>[2,1,1,1]=>[1,1,1]=>0
[5,4,+,2,1]=>[5,4,3,2,1]=>[1,1,1,1,1]=>[1,1,1,1]=>0
[5,4,-,2,1]=>[5,4,3,2,1]=>[1,1,1,1,1]=>[1,1,1,1]=>0
[+,+,6,5,4,3]=>[1,2,6,5,4,3]=>[3,1,1,1]=>[1,1,1]=>0
[-,+,6,5,4,3]=>[1,2,6,5,4,3]=>[3,1,1,1]=>[1,1,1]=>0
[+,-,6,5,4,3]=>[1,2,6,5,4,3]=>[3,1,1,1]=>[1,1,1]=>0
[-,-,6,5,4,3]=>[1,2,6,5,4,3]=>[3,1,1,1]=>[1,1,1]=>0
[+,3,2,6,+,4]=>[1,3,2,6,5,4]=>[3,2,1]=>[2,1]=>0
[-,3,2,6,+,4]=>[1,3,2,6,5,4]=>[3,2,1]=>[2,1]=>0
[+,3,2,6,-,4]=>[1,3,2,6,5,4]=>[3,2,1]=>[2,1]=>0
[-,3,2,6,-,4]=>[1,3,2,6,5,4]=>[3,2,1]=>[2,1]=>0
[+,3,6,2,+,4]=>[1,3,6,2,5,4]=>[3,2,1]=>[2,1]=>0
[-,3,6,2,+,4]=>[1,3,6,2,5,4]=>[3,2,1]=>[2,1]=>0
[+,3,6,2,-,4]=>[1,3,6,2,5,4]=>[3,2,1]=>[2,1]=>0
[-,3,6,2,-,4]=>[1,3,6,2,5,4]=>[3,2,1]=>[2,1]=>0
[+,3,6,5,2,4]=>[1,3,6,5,2,4]=>[3,2,1]=>[2,1]=>0
[-,3,6,5,2,4]=>[1,3,6,5,2,4]=>[3,2,1]=>[2,1]=>0
[+,3,6,5,4,2]=>[1,3,6,5,4,2]=>[3,1,1,1]=>[1,1,1]=>0
[-,3,6,5,4,2]=>[1,3,6,5,4,2]=>[3,1,1,1]=>[1,1,1]=>0
[+,4,2,6,+,3]=>[1,4,2,6,5,3]=>[3,2,1]=>[2,1]=>0
[-,4,2,6,+,3]=>[1,4,2,6,5,3]=>[3,2,1]=>[2,1]=>0
[+,4,2,6,-,3]=>[1,4,2,6,5,3]=>[3,2,1]=>[2,1]=>0
[-,4,2,6,-,3]=>[1,4,2,6,5,3]=>[3,2,1]=>[2,1]=>0
[+,4,+,2,6,5]=>[1,4,3,2,6,5]=>[3,2,1]=>[2,1]=>0
[-,4,+,2,6,5]=>[1,4,3,2,6,5]=>[3,2,1]=>[2,1]=>0
[+,4,-,2,6,5]=>[1,4,3,2,6,5]=>[3,2,1]=>[2,1]=>0
[-,4,-,2,6,5]=>[1,4,3,2,6,5]=>[3,2,1]=>[2,1]=>0
[+,4,+,6,2,5]=>[1,4,3,6,2,5]=>[3,2,1]=>[2,1]=>0
[-,4,+,6,2,5]=>[1,4,3,6,2,5]=>[3,2,1]=>[2,1]=>0
[+,4,-,6,2,5]=>[1,4,3,6,2,5]=>[3,2,1]=>[2,1]=>0
[-,4,-,6,2,5]=>[1,4,3,6,2,5]=>[3,2,1]=>[2,1]=>0
[+,4,+,6,+,2]=>[1,4,3,6,5,2]=>[3,2,1]=>[2,1]=>0
[-,4,+,6,+,2]=>[1,4,3,6,5,2]=>[3,2,1]=>[2,1]=>0
[+,4,-,6,+,2]=>[1,4,3,6,5,2]=>[3,2,1]=>[2,1]=>0
[+,4,+,6,-,2]=>[1,4,3,6,5,2]=>[3,2,1]=>[2,1]=>0
[-,4,-,6,+,2]=>[1,4,3,6,5,2]=>[3,2,1]=>[2,1]=>0
[-,4,+,6,-,2]=>[1,4,3,6,5,2]=>[3,2,1]=>[2,1]=>0
[+,4,-,6,-,2]=>[1,4,3,6,5,2]=>[3,2,1]=>[2,1]=>0
[-,4,-,6,-,2]=>[1,4,3,6,5,2]=>[3,2,1]=>[2,1]=>0
[+,4,6,2,+,3]=>[1,4,6,2,5,3]=>[3,2,1]=>[2,1]=>0
[-,4,6,2,+,3]=>[1,4,6,2,5,3]=>[3,2,1]=>[2,1]=>0
[+,4,6,2,-,3]=>[1,4,6,2,5,3]=>[3,2,1]=>[2,1]=>0
[-,4,6,2,-,3]=>[1,4,6,2,5,3]=>[3,2,1]=>[2,1]=>0
[+,4,6,3,2,5]=>[1,4,6,3,2,5]=>[3,2,1]=>[2,1]=>0
[-,4,6,3,2,5]=>[1,4,6,3,2,5]=>[3,2,1]=>[2,1]=>0
[+,4,6,3,+,2]=>[1,4,6,3,5,2]=>[3,2,1]=>[2,1]=>0
[-,4,6,3,+,2]=>[1,4,6,3,5,2]=>[3,2,1]=>[2,1]=>0
[+,4,6,3,-,2]=>[1,4,6,3,5,2]=>[3,2,1]=>[2,1]=>0
[-,4,6,3,-,2]=>[1,4,6,3,5,2]=>[3,2,1]=>[2,1]=>0
[+,4,6,5,2,3]=>[1,4,6,5,2,3]=>[3,2,1]=>[2,1]=>0
[-,4,6,5,2,3]=>[1,4,6,5,2,3]=>[3,2,1]=>[2,1]=>0
[+,4,6,5,3,2]=>[1,4,6,5,3,2]=>[3,1,1,1]=>[1,1,1]=>0
[-,4,6,5,3,2]=>[1,4,6,5,3,2]=>[3,1,1,1]=>[1,1,1]=>0
[+,5,2,6,4,3]=>[1,5,2,6,4,3]=>[3,2,1]=>[2,1]=>0
[-,5,2,6,4,3]=>[1,5,2,6,4,3]=>[3,2,1]=>[2,1]=>0
[+,5,+,2,6,4]=>[1,5,3,2,6,4]=>[3,2,1]=>[2,1]=>0
[-,5,+,2,6,4]=>[1,5,3,2,6,4]=>[3,2,1]=>[2,1]=>0
[+,5,-,2,6,4]=>[1,5,3,2,6,4]=>[3,2,1]=>[2,1]=>0
[-,5,-,2,6,4]=>[1,5,3,2,6,4]=>[3,2,1]=>[2,1]=>0
[+,5,+,6,2,4]=>[1,5,3,6,2,4]=>[3,2,1]=>[2,1]=>0
[-,5,+,6,2,4]=>[1,5,3,6,2,4]=>[3,2,1]=>[2,1]=>0
[+,5,-,6,2,4]=>[1,5,3,6,2,4]=>[3,2,1]=>[2,1]=>0
[-,5,-,6,2,4]=>[1,5,3,6,2,4]=>[3,2,1]=>[2,1]=>0
[+,5,+,6,4,2]=>[1,5,3,6,4,2]=>[3,2,1]=>[2,1]=>0
[-,5,+,6,4,2]=>[1,5,3,6,4,2]=>[3,2,1]=>[2,1]=>0
[+,5,-,6,4,2]=>[1,5,3,6,4,2]=>[3,2,1]=>[2,1]=>0
[-,5,-,6,4,2]=>[1,5,3,6,4,2]=>[3,2,1]=>[2,1]=>0
[+,5,4,2,6,3]=>[1,5,4,2,6,3]=>[3,2,1]=>[2,1]=>0
[-,5,4,2,6,3]=>[1,5,4,2,6,3]=>[3,2,1]=>[2,1]=>0
[+,5,4,3,2,+]=>[1,5,4,3,2,6]=>[3,1,1,1]=>[1,1,1]=>0
[-,5,4,3,2,+]=>[1,5,4,3,2,6]=>[3,1,1,1]=>[1,1,1]=>0
[+,5,4,3,2,-]=>[1,5,4,3,2,6]=>[3,1,1,1]=>[1,1,1]=>0
[-,5,4,3,2,-]=>[1,5,4,3,2,6]=>[3,1,1,1]=>[1,1,1]=>0
[+,5,4,3,6,2]=>[1,5,4,3,6,2]=>[3,1,1,1]=>[1,1,1]=>0
[-,5,4,3,6,2]=>[1,5,4,3,6,2]=>[3,1,1,1]=>[1,1,1]=>0
[+,5,4,6,2,3]=>[1,5,4,6,2,3]=>[3,2,1]=>[2,1]=>0
[-,5,4,6,2,3]=>[1,5,4,6,2,3]=>[3,2,1]=>[2,1]=>0
[+,5,4,6,3,2]=>[1,5,4,6,3,2]=>[3,1,1,1]=>[1,1,1]=>0
[-,5,4,6,3,2]=>[1,5,4,6,3,2]=>[3,1,1,1]=>[1,1,1]=>0
[+,5,6,2,4,3]=>[1,5,6,2,4,3]=>[3,2,1]=>[2,1]=>0
[-,5,6,2,4,3]=>[1,5,6,2,4,3]=>[3,2,1]=>[2,1]=>0
[+,5,6,3,2,4]=>[1,5,6,3,2,4]=>[3,2,1]=>[2,1]=>0
[-,5,6,3,2,4]=>[1,5,6,3,2,4]=>[3,2,1]=>[2,1]=>0
[+,5,6,3,4,2]=>[1,5,6,3,4,2]=>[3,2,1]=>[2,1]=>0
[-,5,6,3,4,2]=>[1,5,6,3,4,2]=>[3,2,1]=>[2,1]=>0
[+,5,6,+,2,3]=>[1,5,6,4,2,3]=>[3,2,1]=>[2,1]=>0
[-,5,6,+,2,3]=>[1,5,6,4,2,3]=>[3,2,1]=>[2,1]=>0
[+,5,6,-,2,3]=>[1,5,6,4,2,3]=>[3,2,1]=>[2,1]=>0
[-,5,6,-,2,3]=>[1,5,6,4,2,3]=>[3,2,1]=>[2,1]=>0
[+,5,6,+,3,2]=>[1,5,6,4,3,2]=>[3,1,1,1]=>[1,1,1]=>0
[-,5,6,+,3,2]=>[1,5,6,4,3,2]=>[3,1,1,1]=>[1,1,1]=>0
[+,5,6,-,3,2]=>[1,5,6,4,3,2]=>[3,1,1,1]=>[1,1,1]=>0
[-,5,6,-,3,2]=>[1,5,6,4,3,2]=>[3,1,1,1]=>[1,1,1]=>0
[+,6,2,5,4,3]=>[1,6,2,5,4,3]=>[3,1,1,1]=>[1,1,1]=>0
[-,6,2,5,4,3]=>[1,6,2,5,4,3]=>[3,1,1,1]=>[1,1,1]=>0
[+,6,+,2,+,4]=>[1,6,3,2,5,4]=>[3,2,1]=>[2,1]=>0
[-,6,+,2,+,4]=>[1,6,3,2,5,4]=>[3,2,1]=>[2,1]=>0
[+,6,-,2,+,4]=>[1,6,3,2,5,4]=>[3,2,1]=>[2,1]=>0
[+,6,+,2,-,4]=>[1,6,3,2,5,4]=>[3,2,1]=>[2,1]=>0
[-,6,-,2,+,4]=>[1,6,3,2,5,4]=>[3,2,1]=>[2,1]=>0
[-,6,+,2,-,4]=>[1,6,3,2,5,4]=>[3,2,1]=>[2,1]=>0
[+,6,-,2,-,4]=>[1,6,3,2,5,4]=>[3,2,1]=>[2,1]=>0
[-,6,-,2,-,4]=>[1,6,3,2,5,4]=>[3,2,1]=>[2,1]=>0
[+,6,+,5,2,4]=>[1,6,3,5,2,4]=>[3,2,1]=>[2,1]=>0
[-,6,+,5,2,4]=>[1,6,3,5,2,4]=>[3,2,1]=>[2,1]=>0
[+,6,-,5,2,4]=>[1,6,3,5,2,4]=>[3,2,1]=>[2,1]=>0
[-,6,-,5,2,4]=>[1,6,3,5,2,4]=>[3,2,1]=>[2,1]=>0
[+,6,+,5,4,2]=>[1,6,3,5,4,2]=>[3,1,1,1]=>[1,1,1]=>0
[-,6,+,5,4,2]=>[1,6,3,5,4,2]=>[3,1,1,1]=>[1,1,1]=>0
[+,6,-,5,4,2]=>[1,6,3,5,4,2]=>[3,1,1,1]=>[1,1,1]=>0
[-,6,-,5,4,2]=>[1,6,3,5,4,2]=>[3,1,1,1]=>[1,1,1]=>0
[+,6,4,2,+,3]=>[1,6,4,2,5,3]=>[3,2,1]=>[2,1]=>0
[-,6,4,2,+,3]=>[1,6,4,2,5,3]=>[3,2,1]=>[2,1]=>0
[+,6,4,2,-,3]=>[1,6,4,2,5,3]=>[3,2,1]=>[2,1]=>0
[-,6,4,2,-,3]=>[1,6,4,2,5,3]=>[3,2,1]=>[2,1]=>0
[+,6,4,3,2,5]=>[1,6,4,3,2,5]=>[3,1,1,1]=>[1,1,1]=>0
[-,6,4,3,2,5]=>[1,6,4,3,2,5]=>[3,1,1,1]=>[1,1,1]=>0
[+,6,4,3,+,2]=>[1,6,4,3,5,2]=>[3,1,1,1]=>[1,1,1]=>0
[-,6,4,3,+,2]=>[1,6,4,3,5,2]=>[3,1,1,1]=>[1,1,1]=>0
[+,6,4,3,-,2]=>[1,6,4,3,5,2]=>[3,1,1,1]=>[1,1,1]=>0
[-,6,4,3,-,2]=>[1,6,4,3,5,2]=>[3,1,1,1]=>[1,1,1]=>0
[+,6,4,5,2,3]=>[1,6,4,5,2,3]=>[3,2,1]=>[2,1]=>0
[-,6,4,5,2,3]=>[1,6,4,5,2,3]=>[3,2,1]=>[2,1]=>0
[+,6,4,5,3,2]=>[1,6,4,5,3,2]=>[3,1,1,1]=>[1,1,1]=>0
[-,6,4,5,3,2]=>[1,6,4,5,3,2]=>[3,1,1,1]=>[1,1,1]=>0
[+,6,5,2,4,3]=>[1,6,5,2,4,3]=>[3,1,1,1]=>[1,1,1]=>0
[-,6,5,2,4,3]=>[1,6,5,2,4,3]=>[3,1,1,1]=>[1,1,1]=>0
[+,6,5,3,2,4]=>[1,6,5,3,2,4]=>[3,1,1,1]=>[1,1,1]=>0
[-,6,5,3,2,4]=>[1,6,5,3,2,4]=>[3,1,1,1]=>[1,1,1]=>0
[+,6,5,3,4,2]=>[1,6,5,3,4,2]=>[3,1,1,1]=>[1,1,1]=>0
[-,6,5,3,4,2]=>[1,6,5,3,4,2]=>[3,1,1,1]=>[1,1,1]=>0
[+,6,5,+,2,3]=>[1,6,5,4,2,3]=>[3,1,1,1]=>[1,1,1]=>0
[-,6,5,+,2,3]=>[1,6,5,4,2,3]=>[3,1,1,1]=>[1,1,1]=>0
[+,6,5,-,2,3]=>[1,6,5,4,2,3]=>[3,1,1,1]=>[1,1,1]=>0
[-,6,5,-,2,3]=>[1,6,5,4,2,3]=>[3,1,1,1]=>[1,1,1]=>0
[+,6,5,+,3,2]=>[1,6,5,4,3,2]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[-,6,5,+,3,2]=>[1,6,5,4,3,2]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[+,6,5,-,3,2]=>[1,6,5,4,3,2]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[-,6,5,-,3,2]=>[1,6,5,4,3,2]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[2,1,+,6,+,4]=>[2,1,3,6,5,4]=>[3,2,1]=>[2,1]=>0
[2,1,-,6,+,4]=>[2,1,3,6,5,4]=>[3,2,1]=>[2,1]=>0
[2,1,+,6,-,4]=>[2,1,3,6,5,4]=>[3,2,1]=>[2,1]=>0
[2,1,-,6,-,4]=>[2,1,3,6,5,4]=>[3,2,1]=>[2,1]=>0
[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[3,3]=>[3]=>1
[2,1,4,6,3,5]=>[2,1,4,6,3,5]=>[3,3]=>[3]=>1
[2,1,4,6,+,3]=>[2,1,4,6,5,3]=>[3,2,1]=>[2,1]=>0
[2,1,4,6,-,3]=>[2,1,4,6,5,3]=>[3,2,1]=>[2,1]=>0
[2,1,5,3,6,4]=>[2,1,5,3,6,4]=>[3,3]=>[3]=>1
[2,1,5,+,3,+]=>[2,1,5,4,3,6]=>[3,2,1]=>[2,1]=>0
[2,1,5,-,3,+]=>[2,1,5,4,3,6]=>[3,2,1]=>[2,1]=>0
[2,1,5,+,3,-]=>[2,1,5,4,3,6]=>[3,2,1]=>[2,1]=>0
[2,1,5,-,3,-]=>[2,1,5,4,3,6]=>[3,2,1]=>[2,1]=>0
[2,1,5,+,6,3]=>[2,1,5,4,6,3]=>[3,2,1]=>[2,1]=>0
[2,1,5,-,6,3]=>[2,1,5,4,6,3]=>[3,2,1]=>[2,1]=>0
[2,1,5,6,3,4]=>[2,1,5,6,3,4]=>[3,3]=>[3]=>1
[2,1,5,6,4,3]=>[2,1,5,6,4,3]=>[3,2,1]=>[2,1]=>0
[2,1,6,3,+,4]=>[2,1,6,3,5,4]=>[3,2,1]=>[2,1]=>0
[2,1,6,3,-,4]=>[2,1,6,3,5,4]=>[3,2,1]=>[2,1]=>0
[2,1,6,+,3,5]=>[2,1,6,4,3,5]=>[3,2,1]=>[2,1]=>0
[2,1,6,-,3,5]=>[2,1,6,4,3,5]=>[3,2,1]=>[2,1]=>0
[2,1,6,+,+,3]=>[2,1,6,4,5,3]=>[3,2,1]=>[2,1]=>0
[2,1,6,-,+,3]=>[2,1,6,4,5,3]=>[3,2,1]=>[2,1]=>0
[2,1,6,+,-,3]=>[2,1,6,4,5,3]=>[3,2,1]=>[2,1]=>0
[2,1,6,-,-,3]=>[2,1,6,4,5,3]=>[3,2,1]=>[2,1]=>0
[2,1,6,5,3,4]=>[2,1,6,5,3,4]=>[3,2,1]=>[2,1]=>0
[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[2,2,1,1]=>[2,1,1]=>0
[2,3,1,6,+,4]=>[2,3,1,6,5,4]=>[3,2,1]=>[2,1]=>0
[2,3,1,6,-,4]=>[2,3,1,6,5,4]=>[3,2,1]=>[2,1]=>0
[2,3,6,1,+,4]=>[2,3,6,1,5,4]=>[3,2,1]=>[2,1]=>0
[2,3,6,1,-,4]=>[2,3,6,1,5,4]=>[3,2,1]=>[2,1]=>0
[2,3,6,5,1,4]=>[2,3,6,5,1,4]=>[3,2,1]=>[2,1]=>0
[2,3,6,5,4,1]=>[2,3,6,5,4,1]=>[3,1,1,1]=>[1,1,1]=>0
[2,4,1,3,6,5]=>[2,4,1,3,6,5]=>[3,3]=>[3]=>1
[2,4,1,6,3,5]=>[2,4,1,6,3,5]=>[3,3]=>[3]=>1
[2,4,1,6,+,3]=>[2,4,1,6,5,3]=>[3,2,1]=>[2,1]=>0
[2,4,1,6,-,3]=>[2,4,1,6,5,3]=>[3,2,1]=>[2,1]=>0
[2,4,+,1,6,5]=>[2,4,3,1,6,5]=>[3,2,1]=>[2,1]=>0
[2,4,-,1,6,5]=>[2,4,3,1,6,5]=>[3,2,1]=>[2,1]=>0
[2,4,+,6,1,5]=>[2,4,3,6,1,5]=>[3,2,1]=>[2,1]=>0
[2,4,-,6,1,5]=>[2,4,3,6,1,5]=>[3,2,1]=>[2,1]=>0
[2,4,+,6,+,1]=>[2,4,3,6,5,1]=>[3,2,1]=>[2,1]=>0
[2,4,-,6,+,1]=>[2,4,3,6,5,1]=>[3,2,1]=>[2,1]=>0
[2,4,+,6,-,1]=>[2,4,3,6,5,1]=>[3,2,1]=>[2,1]=>0
[2,4,-,6,-,1]=>[2,4,3,6,5,1]=>[3,2,1]=>[2,1]=>0
[2,4,6,1,3,5]=>[2,4,6,1,3,5]=>[3,3]=>[3]=>1
[2,4,6,1,+,3]=>[2,4,6,1,5,3]=>[3,2,1]=>[2,1]=>0
[2,4,6,1,-,3]=>[2,4,6,1,5,3]=>[3,2,1]=>[2,1]=>0
[2,4,6,3,1,5]=>[2,4,6,3,1,5]=>[3,2,1]=>[2,1]=>0
[2,4,6,3,+,1]=>[2,4,6,3,5,1]=>[3,2,1]=>[2,1]=>0
[2,4,6,3,-,1]=>[2,4,6,3,5,1]=>[3,2,1]=>[2,1]=>0
[2,4,6,5,1,3]=>[2,4,6,5,1,3]=>[3,2,1]=>[2,1]=>0
[2,4,6,5,3,1]=>[2,4,6,5,3,1]=>[3,1,1,1]=>[1,1,1]=>0
[2,5,1,3,6,4]=>[2,5,1,3,6,4]=>[3,3]=>[3]=>1
[2,5,1,+,3,+]=>[2,5,1,4,3,6]=>[3,2,1]=>[2,1]=>0
[2,5,1,-,3,+]=>[2,5,1,4,3,6]=>[3,2,1]=>[2,1]=>0
[2,5,1,+,3,-]=>[2,5,1,4,3,6]=>[3,2,1]=>[2,1]=>0
[2,5,1,-,3,-]=>[2,5,1,4,3,6]=>[3,2,1]=>[2,1]=>0
[2,5,1,+,6,3]=>[2,5,1,4,6,3]=>[3,2,1]=>[2,1]=>0
[2,5,1,-,6,3]=>[2,5,1,4,6,3]=>[3,2,1]=>[2,1]=>0
[2,5,1,6,3,4]=>[2,5,1,6,3,4]=>[3,3]=>[3]=>1
[2,5,1,6,4,3]=>[2,5,1,6,4,3]=>[3,2,1]=>[2,1]=>0
[2,5,+,1,6,4]=>[2,5,3,1,6,4]=>[3,2,1]=>[2,1]=>0
[2,5,-,1,6,4]=>[2,5,3,1,6,4]=>[3,2,1]=>[2,1]=>0
[2,5,+,6,1,4]=>[2,5,3,6,1,4]=>[3,2,1]=>[2,1]=>0
[2,5,-,6,1,4]=>[2,5,3,6,1,4]=>[3,2,1]=>[2,1]=>0
[2,5,+,6,4,1]=>[2,5,3,6,4,1]=>[3,2,1]=>[2,1]=>0
[2,5,-,6,4,1]=>[2,5,3,6,4,1]=>[3,2,1]=>[2,1]=>0
[2,5,4,1,3,+]=>[2,5,4,1,3,6]=>[3,2,1]=>[2,1]=>0
[2,5,4,1,3,-]=>[2,5,4,1,3,6]=>[3,2,1]=>[2,1]=>0
[2,5,4,1,6,3]=>[2,5,4,1,6,3]=>[3,2,1]=>[2,1]=>0
[2,5,4,3,1,+]=>[2,5,4,3,1,6]=>[3,1,1,1]=>[1,1,1]=>0
[2,5,4,3,1,-]=>[2,5,4,3,1,6]=>[3,1,1,1]=>[1,1,1]=>0
[2,5,4,3,6,1]=>[2,5,4,3,6,1]=>[3,1,1,1]=>[1,1,1]=>0
[2,5,4,6,1,3]=>[2,5,4,6,1,3]=>[3,2,1]=>[2,1]=>0
[2,5,4,6,3,1]=>[2,5,4,6,3,1]=>[3,1,1,1]=>[1,1,1]=>0
[2,5,6,1,3,4]=>[2,5,6,1,3,4]=>[3,3]=>[3]=>1
[2,5,6,1,4,3]=>[2,5,6,1,4,3]=>[3,2,1]=>[2,1]=>0
[2,5,6,3,1,4]=>[2,5,6,3,1,4]=>[3,2,1]=>[2,1]=>0
[2,5,6,3,4,1]=>[2,5,6,3,4,1]=>[3,2,1]=>[2,1]=>0
[2,5,6,+,1,3]=>[2,5,6,4,1,3]=>[3,2,1]=>[2,1]=>0
[2,5,6,-,1,3]=>[2,5,6,4,1,3]=>[3,2,1]=>[2,1]=>0
[2,5,6,+,3,1]=>[2,5,6,4,3,1]=>[3,1,1,1]=>[1,1,1]=>0
[2,5,6,-,3,1]=>[2,5,6,4,3,1]=>[3,1,1,1]=>[1,1,1]=>0
[2,6,1,3,+,4]=>[2,6,1,3,5,4]=>[3,2,1]=>[2,1]=>0
[2,6,1,3,-,4]=>[2,6,1,3,5,4]=>[3,2,1]=>[2,1]=>0
[2,6,1,+,3,5]=>[2,6,1,4,3,5]=>[3,2,1]=>[2,1]=>0
[2,6,1,-,3,5]=>[2,6,1,4,3,5]=>[3,2,1]=>[2,1]=>0
[2,6,1,+,+,3]=>[2,6,1,4,5,3]=>[3,2,1]=>[2,1]=>0
[2,6,1,-,+,3]=>[2,6,1,4,5,3]=>[3,2,1]=>[2,1]=>0
[2,6,1,+,-,3]=>[2,6,1,4,5,3]=>[3,2,1]=>[2,1]=>0
[2,6,1,-,-,3]=>[2,6,1,4,5,3]=>[3,2,1]=>[2,1]=>0
[2,6,1,5,3,4]=>[2,6,1,5,3,4]=>[3,2,1]=>[2,1]=>0
[2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[2,2,1,1]=>[2,1,1]=>0
[2,6,+,1,+,4]=>[2,6,3,1,5,4]=>[3,2,1]=>[2,1]=>0
[2,6,-,1,+,4]=>[2,6,3,1,5,4]=>[3,2,1]=>[2,1]=>0
[2,6,+,1,-,4]=>[2,6,3,1,5,4]=>[3,2,1]=>[2,1]=>0
[2,6,-,1,-,4]=>[2,6,3,1,5,4]=>[3,2,1]=>[2,1]=>0
[2,6,+,5,1,4]=>[2,6,3,5,1,4]=>[3,2,1]=>[2,1]=>0
[2,6,-,5,1,4]=>[2,6,3,5,1,4]=>[3,2,1]=>[2,1]=>0
[2,6,+,5,4,1]=>[2,6,3,5,4,1]=>[3,1,1,1]=>[1,1,1]=>0
[2,6,-,5,4,1]=>[2,6,3,5,4,1]=>[3,1,1,1]=>[1,1,1]=>0
[2,6,4,1,3,5]=>[2,6,4,1,3,5]=>[3,2,1]=>[2,1]=>0
[2,6,4,1,+,3]=>[2,6,4,1,5,3]=>[3,2,1]=>[2,1]=>0
[2,6,4,1,-,3]=>[2,6,4,1,5,3]=>[3,2,1]=>[2,1]=>0
[2,6,4,3,1,5]=>[2,6,4,3,1,5]=>[3,1,1,1]=>[1,1,1]=>0
[2,6,4,3,+,1]=>[2,6,4,3,5,1]=>[3,1,1,1]=>[1,1,1]=>0
[2,6,4,3,-,1]=>[2,6,4,3,5,1]=>[3,1,1,1]=>[1,1,1]=>0
[2,6,4,5,1,3]=>[2,6,4,5,1,3]=>[3,2,1]=>[2,1]=>0
[2,6,4,5,3,1]=>[2,6,4,5,3,1]=>[3,1,1,1]=>[1,1,1]=>0
[2,6,5,1,3,4]=>[2,6,5,1,3,4]=>[3,2,1]=>[2,1]=>0
[2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[2,2,1,1]=>[2,1,1]=>0
[2,6,5,3,1,4]=>[2,6,5,3,1,4]=>[3,1,1,1]=>[1,1,1]=>0
[2,6,5,3,4,1]=>[2,6,5,3,4,1]=>[3,1,1,1]=>[1,1,1]=>0
[2,6,5,+,1,3]=>[2,6,5,4,1,3]=>[2,2,1,1]=>[2,1,1]=>0
[2,6,5,-,1,3]=>[2,6,5,4,1,3]=>[2,2,1,1]=>[2,1,1]=>0
[2,6,5,+,3,1]=>[2,6,5,4,3,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[2,6,5,-,3,1]=>[2,6,5,4,3,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[3,1,2,6,+,4]=>[3,1,2,6,5,4]=>[3,2,1]=>[2,1]=>0
[3,1,2,6,-,4]=>[3,1,2,6,5,4]=>[3,2,1]=>[2,1]=>0
[3,1,4,2,6,5]=>[3,1,4,2,6,5]=>[3,3]=>[3]=>1
[3,1,4,6,2,5]=>[3,1,4,6,2,5]=>[3,3]=>[3]=>1
[3,1,4,6,+,2]=>[3,1,4,6,5,2]=>[3,2,1]=>[2,1]=>0
[3,1,4,6,-,2]=>[3,1,4,6,5,2]=>[3,2,1]=>[2,1]=>0
[3,1,5,2,6,4]=>[3,1,5,2,6,4]=>[3,3]=>[3]=>1
[3,1,5,+,2,+]=>[3,1,5,4,2,6]=>[3,2,1]=>[2,1]=>0
[3,1,5,-,2,+]=>[3,1,5,4,2,6]=>[3,2,1]=>[2,1]=>0
[3,1,5,+,2,-]=>[3,1,5,4,2,6]=>[3,2,1]=>[2,1]=>0
[3,1,5,-,2,-]=>[3,1,5,4,2,6]=>[3,2,1]=>[2,1]=>0
[3,1,5,+,6,2]=>[3,1,5,4,6,2]=>[3,2,1]=>[2,1]=>0
[3,1,5,-,6,2]=>[3,1,5,4,6,2]=>[3,2,1]=>[2,1]=>0
[3,1,5,6,2,4]=>[3,1,5,6,2,4]=>[3,3]=>[3]=>1
[3,1,5,6,4,2]=>[3,1,5,6,4,2]=>[3,2,1]=>[2,1]=>0
[3,1,6,2,+,4]=>[3,1,6,2,5,4]=>[3,2,1]=>[2,1]=>0
[3,1,6,2,-,4]=>[3,1,6,2,5,4]=>[3,2,1]=>[2,1]=>0
[3,1,6,+,2,5]=>[3,1,6,4,2,5]=>[3,2,1]=>[2,1]=>0
[3,1,6,-,2,5]=>[3,1,6,4,2,5]=>[3,2,1]=>[2,1]=>0
[3,1,6,+,+,2]=>[3,1,6,4,5,2]=>[3,2,1]=>[2,1]=>0
[3,1,6,-,+,2]=>[3,1,6,4,5,2]=>[3,2,1]=>[2,1]=>0
[3,1,6,+,-,2]=>[3,1,6,4,5,2]=>[3,2,1]=>[2,1]=>0
[3,1,6,-,-,2]=>[3,1,6,4,5,2]=>[3,2,1]=>[2,1]=>0
[3,1,6,5,2,4]=>[3,1,6,5,2,4]=>[3,2,1]=>[2,1]=>0
[3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[2,2,1,1]=>[2,1,1]=>0
[3,+,1,+,6,5]=>[3,2,1,4,6,5]=>[3,2,1]=>[2,1]=>0
[3,-,1,+,6,5]=>[3,2,1,4,6,5]=>[3,2,1]=>[2,1]=>0
[3,+,1,-,6,5]=>[3,2,1,4,6,5]=>[3,2,1]=>[2,1]=>0
[3,-,1,-,6,5]=>[3,2,1,4,6,5]=>[3,2,1]=>[2,1]=>0
[3,+,1,5,4,+]=>[3,2,1,5,4,6]=>[3,2,1]=>[2,1]=>0
[3,-,1,5,4,+]=>[3,2,1,5,4,6]=>[3,2,1]=>[2,1]=>0
[3,+,1,5,4,-]=>[3,2,1,5,4,6]=>[3,2,1]=>[2,1]=>0
[3,-,1,5,4,-]=>[3,2,1,5,4,6]=>[3,2,1]=>[2,1]=>0
[3,+,1,5,6,4]=>[3,2,1,5,6,4]=>[3,2,1]=>[2,1]=>0
[3,-,1,5,6,4]=>[3,2,1,5,6,4]=>[3,2,1]=>[2,1]=>0
[3,+,1,6,4,5]=>[3,2,1,6,4,5]=>[3,2,1]=>[2,1]=>0
[3,-,1,6,4,5]=>[3,2,1,6,4,5]=>[3,2,1]=>[2,1]=>0
[3,+,1,6,+,4]=>[3,2,1,6,5,4]=>[2,2,2]=>[2,2]=>1
[3,-,1,6,+,4]=>[3,2,1,6,5,4]=>[2,2,2]=>[2,2]=>1
[3,+,1,6,-,4]=>[3,2,1,6,5,4]=>[2,2,2]=>[2,2]=>1
[3,-,1,6,-,4]=>[3,2,1,6,5,4]=>[2,2,2]=>[2,2]=>1
[3,+,4,1,6,5]=>[3,2,4,1,6,5]=>[3,2,1]=>[2,1]=>0
[3,-,4,1,6,5]=>[3,2,4,1,6,5]=>[3,2,1]=>[2,1]=>0
[3,+,4,6,1,5]=>[3,2,4,6,1,5]=>[3,2,1]=>[2,1]=>0
[3,-,4,6,1,5]=>[3,2,4,6,1,5]=>[3,2,1]=>[2,1]=>0
[3,+,4,6,+,1]=>[3,2,4,6,5,1]=>[3,2,1]=>[2,1]=>0
[3,-,4,6,+,1]=>[3,2,4,6,5,1]=>[3,2,1]=>[2,1]=>0
[3,+,4,6,-,1]=>[3,2,4,6,5,1]=>[3,2,1]=>[2,1]=>0
[3,-,4,6,-,1]=>[3,2,4,6,5,1]=>[3,2,1]=>[2,1]=>0
[3,+,5,1,4,+]=>[3,2,5,1,4,6]=>[3,2,1]=>[2,1]=>0
[3,-,5,1,4,+]=>[3,2,5,1,4,6]=>[3,2,1]=>[2,1]=>0
[3,+,5,1,4,-]=>[3,2,5,1,4,6]=>[3,2,1]=>[2,1]=>0
[3,-,5,1,4,-]=>[3,2,5,1,4,6]=>[3,2,1]=>[2,1]=>0
[3,+,5,1,6,4]=>[3,2,5,1,6,4]=>[3,2,1]=>[2,1]=>0
[3,-,5,1,6,4]=>[3,2,5,1,6,4]=>[3,2,1]=>[2,1]=>0
[3,+,5,+,1,+]=>[3,2,5,4,1,6]=>[3,2,1]=>[2,1]=>0
[3,-,5,+,1,+]=>[3,2,5,4,1,6]=>[3,2,1]=>[2,1]=>0
[3,+,5,-,1,+]=>[3,2,5,4,1,6]=>[3,2,1]=>[2,1]=>0
[3,+,5,+,1,-]=>[3,2,5,4,1,6]=>[3,2,1]=>[2,1]=>0
[3,-,5,-,1,+]=>[3,2,5,4,1,6]=>[3,2,1]=>[2,1]=>0
[3,-,5,+,1,-]=>[3,2,5,4,1,6]=>[3,2,1]=>[2,1]=>0
[3,+,5,-,1,-]=>[3,2,5,4,1,6]=>[3,2,1]=>[2,1]=>0
[3,-,5,-,1,-]=>[3,2,5,4,1,6]=>[3,2,1]=>[2,1]=>0
[3,+,5,+,6,1]=>[3,2,5,4,6,1]=>[3,2,1]=>[2,1]=>0
[3,-,5,+,6,1]=>[3,2,5,4,6,1]=>[3,2,1]=>[2,1]=>0
[3,+,5,-,6,1]=>[3,2,5,4,6,1]=>[3,2,1]=>[2,1]=>0
[3,-,5,-,6,1]=>[3,2,5,4,6,1]=>[3,2,1]=>[2,1]=>0
[3,+,5,6,1,4]=>[3,2,5,6,1,4]=>[3,2,1]=>[2,1]=>0
[3,-,5,6,1,4]=>[3,2,5,6,1,4]=>[3,2,1]=>[2,1]=>0
[3,+,5,6,4,1]=>[3,2,5,6,4,1]=>[3,2,1]=>[2,1]=>0
[3,-,5,6,4,1]=>[3,2,5,6,4,1]=>[3,2,1]=>[2,1]=>0
[3,+,6,1,4,5]=>[3,2,6,1,4,5]=>[3,2,1]=>[2,1]=>0
[3,-,6,1,4,5]=>[3,2,6,1,4,5]=>[3,2,1]=>[2,1]=>0
[3,+,6,1,+,4]=>[3,2,6,1,5,4]=>[2,2,2]=>[2,2]=>1
[3,-,6,1,+,4]=>[3,2,6,1,5,4]=>[2,2,2]=>[2,2]=>1
[3,+,6,1,-,4]=>[3,2,6,1,5,4]=>[2,2,2]=>[2,2]=>1
[3,-,6,1,-,4]=>[3,2,6,1,5,4]=>[2,2,2]=>[2,2]=>1
[3,+,6,+,1,5]=>[3,2,6,4,1,5]=>[3,2,1]=>[2,1]=>0
[3,-,6,+,1,5]=>[3,2,6,4,1,5]=>[3,2,1]=>[2,1]=>0
[3,+,6,-,1,5]=>[3,2,6,4,1,5]=>[3,2,1]=>[2,1]=>0
[3,-,6,-,1,5]=>[3,2,6,4,1,5]=>[3,2,1]=>[2,1]=>0
[3,+,6,+,+,1]=>[3,2,6,4,5,1]=>[3,2,1]=>[2,1]=>0
[3,-,6,+,+,1]=>[3,2,6,4,5,1]=>[3,2,1]=>[2,1]=>0
[3,+,6,-,+,1]=>[3,2,6,4,5,1]=>[3,2,1]=>[2,1]=>0
[3,+,6,+,-,1]=>[3,2,6,4,5,1]=>[3,2,1]=>[2,1]=>0
[3,-,6,-,+,1]=>[3,2,6,4,5,1]=>[3,2,1]=>[2,1]=>0
[3,-,6,+,-,1]=>[3,2,6,4,5,1]=>[3,2,1]=>[2,1]=>0
[3,+,6,-,-,1]=>[3,2,6,4,5,1]=>[3,2,1]=>[2,1]=>0
[3,-,6,-,-,1]=>[3,2,6,4,5,1]=>[3,2,1]=>[2,1]=>0
[3,+,6,5,1,4]=>[3,2,6,5,1,4]=>[2,2,2]=>[2,2]=>1
[3,-,6,5,1,4]=>[3,2,6,5,1,4]=>[2,2,2]=>[2,2]=>1
[3,+,6,5,4,1]=>[3,2,6,5,4,1]=>[2,2,1,1]=>[2,1,1]=>0
[3,-,6,5,4,1]=>[3,2,6,5,4,1]=>[2,2,1,1]=>[2,1,1]=>0
[3,4,1,2,6,5]=>[3,4,1,2,6,5]=>[3,3]=>[3]=>1
[3,4,1,6,2,5]=>[3,4,1,6,2,5]=>[3,3]=>[3]=>1
[3,4,1,6,+,2]=>[3,4,1,6,5,2]=>[3,2,1]=>[2,1]=>0
[3,4,1,6,-,2]=>[3,4,1,6,5,2]=>[3,2,1]=>[2,1]=>0
[3,4,2,1,6,5]=>[3,4,2,1,6,5]=>[3,2,1]=>[2,1]=>0
[3,4,2,6,1,5]=>[3,4,2,6,1,5]=>[3,2,1]=>[2,1]=>0
[3,4,2,6,+,1]=>[3,4,2,6,5,1]=>[3,2,1]=>[2,1]=>0
[3,4,2,6,-,1]=>[3,4,2,6,5,1]=>[3,2,1]=>[2,1]=>0
[3,4,6,1,2,5]=>[3,4,6,1,2,5]=>[3,3]=>[3]=>1
[3,4,6,1,+,2]=>[3,4,6,1,5,2]=>[3,2,1]=>[2,1]=>0
[3,4,6,1,-,2]=>[3,4,6,1,5,2]=>[3,2,1]=>[2,1]=>0
[3,4,6,2,1,5]=>[3,4,6,2,1,5]=>[3,2,1]=>[2,1]=>0
[3,4,6,2,+,1]=>[3,4,6,2,5,1]=>[3,2,1]=>[2,1]=>0
[3,4,6,2,-,1]=>[3,4,6,2,5,1]=>[3,2,1]=>[2,1]=>0
[3,4,6,5,1,2]=>[3,4,6,5,1,2]=>[3,2,1]=>[2,1]=>0
[3,4,6,5,2,1]=>[3,4,6,5,2,1]=>[3,1,1,1]=>[1,1,1]=>0
[3,5,1,2,6,4]=>[3,5,1,2,6,4]=>[3,3]=>[3]=>1
[3,5,1,+,2,+]=>[3,5,1,4,2,6]=>[3,2,1]=>[2,1]=>0
[3,5,1,-,2,+]=>[3,5,1,4,2,6]=>[3,2,1]=>[2,1]=>0
[3,5,1,+,2,-]=>[3,5,1,4,2,6]=>[3,2,1]=>[2,1]=>0
[3,5,1,-,2,-]=>[3,5,1,4,2,6]=>[3,2,1]=>[2,1]=>0
[3,5,1,+,6,2]=>[3,5,1,4,6,2]=>[3,2,1]=>[2,1]=>0
[3,5,1,-,6,2]=>[3,5,1,4,6,2]=>[3,2,1]=>[2,1]=>0
[3,5,1,6,2,4]=>[3,5,1,6,2,4]=>[3,3]=>[3]=>1
[3,5,1,6,4,2]=>[3,5,1,6,4,2]=>[3,2,1]=>[2,1]=>0
[3,5,2,1,4,+]=>[3,5,2,1,4,6]=>[3,2,1]=>[2,1]=>0
[3,5,2,1,4,-]=>[3,5,2,1,4,6]=>[3,2,1]=>[2,1]=>0
[3,5,2,1,6,4]=>[3,5,2,1,6,4]=>[3,2,1]=>[2,1]=>0
[3,5,2,+,1,+]=>[3,5,2,4,1,6]=>[3,2,1]=>[2,1]=>0
[3,5,2,-,1,+]=>[3,5,2,4,1,6]=>[3,2,1]=>[2,1]=>0
[3,5,2,+,1,-]=>[3,5,2,4,1,6]=>[3,2,1]=>[2,1]=>0
[3,5,2,-,1,-]=>[3,5,2,4,1,6]=>[3,2,1]=>[2,1]=>0
[3,5,2,+,6,1]=>[3,5,2,4,6,1]=>[3,2,1]=>[2,1]=>0
[3,5,2,-,6,1]=>[3,5,2,4,6,1]=>[3,2,1]=>[2,1]=>0
[3,5,2,6,1,4]=>[3,5,2,6,1,4]=>[3,2,1]=>[2,1]=>0
[3,5,2,6,4,1]=>[3,5,2,6,4,1]=>[3,2,1]=>[2,1]=>0
[3,5,4,1,2,+]=>[3,5,4,1,2,6]=>[3,2,1]=>[2,1]=>0
[3,5,4,1,2,-]=>[3,5,4,1,2,6]=>[3,2,1]=>[2,1]=>0
[3,5,4,1,6,2]=>[3,5,4,1,6,2]=>[3,2,1]=>[2,1]=>0
[3,5,4,2,1,+]=>[3,5,4,2,1,6]=>[3,1,1,1]=>[1,1,1]=>0
[3,5,4,2,1,-]=>[3,5,4,2,1,6]=>[3,1,1,1]=>[1,1,1]=>0
[3,5,4,2,6,1]=>[3,5,4,2,6,1]=>[3,1,1,1]=>[1,1,1]=>0
[3,5,4,6,1,2]=>[3,5,4,6,1,2]=>[3,2,1]=>[2,1]=>0
[3,5,4,6,2,1]=>[3,5,4,6,2,1]=>[3,1,1,1]=>[1,1,1]=>0
[3,5,6,1,2,4]=>[3,5,6,1,2,4]=>[3,3]=>[3]=>1
[3,5,6,1,4,2]=>[3,5,6,1,4,2]=>[3,2,1]=>[2,1]=>0
[3,5,6,2,1,4]=>[3,5,6,2,1,4]=>[3,2,1]=>[2,1]=>0
[3,5,6,2,4,1]=>[3,5,6,2,4,1]=>[3,2,1]=>[2,1]=>0
[3,5,6,+,1,2]=>[3,5,6,4,1,2]=>[3,2,1]=>[2,1]=>0
[3,5,6,-,1,2]=>[3,5,6,4,1,2]=>[3,2,1]=>[2,1]=>0
[3,5,6,+,2,1]=>[3,5,6,4,2,1]=>[3,1,1,1]=>[1,1,1]=>0
[3,5,6,-,2,1]=>[3,5,6,4,2,1]=>[3,1,1,1]=>[1,1,1]=>0
[3,6,1,2,+,4]=>[3,6,1,2,5,4]=>[3,2,1]=>[2,1]=>0
[3,6,1,2,-,4]=>[3,6,1,2,5,4]=>[3,2,1]=>[2,1]=>0
[3,6,1,+,2,5]=>[3,6,1,4,2,5]=>[3,2,1]=>[2,1]=>0
[3,6,1,-,2,5]=>[3,6,1,4,2,5]=>[3,2,1]=>[2,1]=>0
[3,6,1,+,+,2]=>[3,6,1,4,5,2]=>[3,2,1]=>[2,1]=>0
[3,6,1,-,+,2]=>[3,6,1,4,5,2]=>[3,2,1]=>[2,1]=>0
[3,6,1,+,-,2]=>[3,6,1,4,5,2]=>[3,2,1]=>[2,1]=>0
[3,6,1,-,-,2]=>[3,6,1,4,5,2]=>[3,2,1]=>[2,1]=>0
[3,6,1,5,2,4]=>[3,6,1,5,2,4]=>[3,2,1]=>[2,1]=>0
[3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[2,2,1,1]=>[2,1,1]=>0
[3,6,2,1,4,5]=>[3,6,2,1,4,5]=>[3,2,1]=>[2,1]=>0
[3,6,2,1,+,4]=>[3,6,2,1,5,4]=>[2,2,2]=>[2,2]=>1
[3,6,2,1,-,4]=>[3,6,2,1,5,4]=>[2,2,2]=>[2,2]=>1
[3,6,2,+,1,5]=>[3,6,2,4,1,5]=>[3,2,1]=>[2,1]=>0
[3,6,2,-,1,5]=>[3,6,2,4,1,5]=>[3,2,1]=>[2,1]=>0
[3,6,2,+,+,1]=>[3,6,2,4,5,1]=>[3,2,1]=>[2,1]=>0
[3,6,2,-,+,1]=>[3,6,2,4,5,1]=>[3,2,1]=>[2,1]=>0
[3,6,2,+,-,1]=>[3,6,2,4,5,1]=>[3,2,1]=>[2,1]=>0
[3,6,2,-,-,1]=>[3,6,2,4,5,1]=>[3,2,1]=>[2,1]=>0
[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[2,2,2]=>[2,2]=>1
[3,6,2,5,4,1]=>[3,6,2,5,4,1]=>[2,2,1,1]=>[2,1,1]=>0
[3,6,4,1,2,5]=>[3,6,4,1,2,5]=>[3,2,1]=>[2,1]=>0
[3,6,4,1,+,2]=>[3,6,4,1,5,2]=>[3,2,1]=>[2,1]=>0
[3,6,4,1,-,2]=>[3,6,4,1,5,2]=>[3,2,1]=>[2,1]=>0
[3,6,4,2,1,5]=>[3,6,4,2,1,5]=>[3,1,1,1]=>[1,1,1]=>0
[3,6,4,2,+,1]=>[3,6,4,2,5,1]=>[3,1,1,1]=>[1,1,1]=>0
[3,6,4,2,-,1]=>[3,6,4,2,5,1]=>[3,1,1,1]=>[1,1,1]=>0
[3,6,4,5,1,2]=>[3,6,4,5,1,2]=>[3,2,1]=>[2,1]=>0
[3,6,4,5,2,1]=>[3,6,4,5,2,1]=>[3,1,1,1]=>[1,1,1]=>0
[3,6,5,1,2,4]=>[3,6,5,1,2,4]=>[3,2,1]=>[2,1]=>0
[3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[2,2,1,1]=>[2,1,1]=>0
[3,6,5,2,1,4]=>[3,6,5,2,1,4]=>[2,2,1,1]=>[2,1,1]=>0
[3,6,5,2,4,1]=>[3,6,5,2,4,1]=>[2,2,1,1]=>[2,1,1]=>0
[3,6,5,+,1,2]=>[3,6,5,4,1,2]=>[2,2,1,1]=>[2,1,1]=>0
[3,6,5,-,1,2]=>[3,6,5,4,1,2]=>[2,2,1,1]=>[2,1,1]=>0
[3,6,5,+,2,1]=>[3,6,5,4,2,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[3,6,5,-,2,1]=>[3,6,5,4,2,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[4,1,2,6,+,3]=>[4,1,2,6,5,3]=>[3,2,1]=>[2,1]=>0
[4,1,2,6,-,3]=>[4,1,2,6,5,3]=>[3,2,1]=>[2,1]=>0
[4,1,+,2,6,5]=>[4,1,3,2,6,5]=>[3,2,1]=>[2,1]=>0
[4,1,-,2,6,5]=>[4,1,3,2,6,5]=>[3,2,1]=>[2,1]=>0
[4,1,+,6,2,5]=>[4,1,3,6,2,5]=>[3,2,1]=>[2,1]=>0
[4,1,-,6,2,5]=>[4,1,3,6,2,5]=>[3,2,1]=>[2,1]=>0
[4,1,+,6,+,2]=>[4,1,3,6,5,2]=>[3,2,1]=>[2,1]=>0
[4,1,-,6,+,2]=>[4,1,3,6,5,2]=>[3,2,1]=>[2,1]=>0
[4,1,+,6,-,2]=>[4,1,3,6,5,2]=>[3,2,1]=>[2,1]=>0
[4,1,-,6,-,2]=>[4,1,3,6,5,2]=>[3,2,1]=>[2,1]=>0
[4,1,5,2,6,3]=>[4,1,5,2,6,3]=>[3,3]=>[3]=>1
[4,1,5,3,2,+]=>[4,1,5,3,2,6]=>[3,2,1]=>[2,1]=>0
[4,1,5,3,2,-]=>[4,1,5,3,2,6]=>[3,2,1]=>[2,1]=>0
[4,1,5,3,6,2]=>[4,1,5,3,6,2]=>[3,2,1]=>[2,1]=>0
[4,1,5,6,2,3]=>[4,1,5,6,2,3]=>[3,3]=>[3]=>1
[4,1,5,6,3,2]=>[4,1,5,6,3,2]=>[3,2,1]=>[2,1]=>0
[4,1,6,2,+,3]=>[4,1,6,2,5,3]=>[3,2,1]=>[2,1]=>0
[4,1,6,2,-,3]=>[4,1,6,2,5,3]=>[3,2,1]=>[2,1]=>0
[4,1,6,3,2,5]=>[4,1,6,3,2,5]=>[3,2,1]=>[2,1]=>0
[4,1,6,3,+,2]=>[4,1,6,3,5,2]=>[3,2,1]=>[2,1]=>0
[4,1,6,3,-,2]=>[4,1,6,3,5,2]=>[3,2,1]=>[2,1]=>0
[4,1,6,5,2,3]=>[4,1,6,5,2,3]=>[3,2,1]=>[2,1]=>0
[4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[2,2,1,1]=>[2,1,1]=>0
[4,+,1,3,6,5]=>[4,2,1,3,6,5]=>[3,2,1]=>[2,1]=>0
[4,-,1,3,6,5]=>[4,2,1,3,6,5]=>[3,2,1]=>[2,1]=>0
[4,+,1,5,3,+]=>[4,2,1,5,3,6]=>[3,2,1]=>[2,1]=>0
[4,-,1,5,3,+]=>[4,2,1,5,3,6]=>[3,2,1]=>[2,1]=>0
[4,+,1,5,3,-]=>[4,2,1,5,3,6]=>[3,2,1]=>[2,1]=>0
[4,-,1,5,3,-]=>[4,2,1,5,3,6]=>[3,2,1]=>[2,1]=>0
[4,+,1,5,6,3]=>[4,2,1,5,6,3]=>[3,2,1]=>[2,1]=>0
[4,-,1,5,6,3]=>[4,2,1,5,6,3]=>[3,2,1]=>[2,1]=>0
[4,+,1,6,3,5]=>[4,2,1,6,3,5]=>[3,2,1]=>[2,1]=>0
[4,-,1,6,3,5]=>[4,2,1,6,3,5]=>[3,2,1]=>[2,1]=>0
[4,+,1,6,+,3]=>[4,2,1,6,5,3]=>[2,2,2]=>[2,2]=>1
[4,-,1,6,+,3]=>[4,2,1,6,5,3]=>[2,2,2]=>[2,2]=>1
[4,+,1,6,-,3]=>[4,2,1,6,5,3]=>[2,2,2]=>[2,2]=>1
[4,-,1,6,-,3]=>[4,2,1,6,5,3]=>[2,2,2]=>[2,2]=>1
[4,+,+,1,6,5]=>[4,2,3,1,6,5]=>[3,2,1]=>[2,1]=>0
[4,-,+,1,6,5]=>[4,2,3,1,6,5]=>[3,2,1]=>[2,1]=>0
[4,+,-,1,6,5]=>[4,2,3,1,6,5]=>[3,2,1]=>[2,1]=>0
[4,-,-,1,6,5]=>[4,2,3,1,6,5]=>[3,2,1]=>[2,1]=>0
[4,+,+,6,1,5]=>[4,2,3,6,1,5]=>[3,2,1]=>[2,1]=>0
[4,-,+,6,1,5]=>[4,2,3,6,1,5]=>[3,2,1]=>[2,1]=>0
[4,+,-,6,1,5]=>[4,2,3,6,1,5]=>[3,2,1]=>[2,1]=>0
[4,-,-,6,1,5]=>[4,2,3,6,1,5]=>[3,2,1]=>[2,1]=>0
[4,+,+,6,+,1]=>[4,2,3,6,5,1]=>[3,2,1]=>[2,1]=>0
[4,-,+,6,+,1]=>[4,2,3,6,5,1]=>[3,2,1]=>[2,1]=>0
[4,+,-,6,+,1]=>[4,2,3,6,5,1]=>[3,2,1]=>[2,1]=>0
[4,+,+,6,-,1]=>[4,2,3,6,5,1]=>[3,2,1]=>[2,1]=>0
[4,-,-,6,+,1]=>[4,2,3,6,5,1]=>[3,2,1]=>[2,1]=>0
[4,-,+,6,-,1]=>[4,2,3,6,5,1]=>[3,2,1]=>[2,1]=>0
[4,+,-,6,-,1]=>[4,2,3,6,5,1]=>[3,2,1]=>[2,1]=>0
[4,-,-,6,-,1]=>[4,2,3,6,5,1]=>[3,2,1]=>[2,1]=>0
[4,+,5,1,3,+]=>[4,2,5,1,3,6]=>[3,2,1]=>[2,1]=>0
[4,-,5,1,3,+]=>[4,2,5,1,3,6]=>[3,2,1]=>[2,1]=>0
[4,+,5,1,3,-]=>[4,2,5,1,3,6]=>[3,2,1]=>[2,1]=>0
[4,-,5,1,3,-]=>[4,2,5,1,3,6]=>[3,2,1]=>[2,1]=>0
[4,+,5,1,6,3]=>[4,2,5,1,6,3]=>[3,2,1]=>[2,1]=>0
[4,-,5,1,6,3]=>[4,2,5,1,6,3]=>[3,2,1]=>[2,1]=>0
[4,+,5,3,1,+]=>[4,2,5,3,1,6]=>[3,2,1]=>[2,1]=>0
[4,-,5,3,1,+]=>[4,2,5,3,1,6]=>[3,2,1]=>[2,1]=>0
[4,+,5,3,1,-]=>[4,2,5,3,1,6]=>[3,2,1]=>[2,1]=>0
[4,-,5,3,1,-]=>[4,2,5,3,1,6]=>[3,2,1]=>[2,1]=>0
[4,+,5,3,6,1]=>[4,2,5,3,6,1]=>[3,2,1]=>[2,1]=>0
[4,-,5,3,6,1]=>[4,2,5,3,6,1]=>[3,2,1]=>[2,1]=>0
[4,+,5,6,1,3]=>[4,2,5,6,1,3]=>[3,2,1]=>[2,1]=>0
[4,-,5,6,1,3]=>[4,2,5,6,1,3]=>[3,2,1]=>[2,1]=>0
[4,+,5,6,3,1]=>[4,2,5,6,3,1]=>[3,2,1]=>[2,1]=>0
[4,-,5,6,3,1]=>[4,2,5,6,3,1]=>[3,2,1]=>[2,1]=>0
[4,+,6,1,3,5]=>[4,2,6,1,3,5]=>[3,2,1]=>[2,1]=>0
[4,-,6,1,3,5]=>[4,2,6,1,3,5]=>[3,2,1]=>[2,1]=>0
[4,+,6,1,+,3]=>[4,2,6,1,5,3]=>[2,2,2]=>[2,2]=>1
[4,-,6,1,+,3]=>[4,2,6,1,5,3]=>[2,2,2]=>[2,2]=>1
[4,+,6,1,-,3]=>[4,2,6,1,5,3]=>[2,2,2]=>[2,2]=>1
[4,-,6,1,-,3]=>[4,2,6,1,5,3]=>[2,2,2]=>[2,2]=>1
[4,+,6,3,1,5]=>[4,2,6,3,1,5]=>[3,2,1]=>[2,1]=>0
[4,-,6,3,1,5]=>[4,2,6,3,1,5]=>[3,2,1]=>[2,1]=>0
[4,+,6,3,+,1]=>[4,2,6,3,5,1]=>[3,2,1]=>[2,1]=>0
[4,-,6,3,+,1]=>[4,2,6,3,5,1]=>[3,2,1]=>[2,1]=>0
[4,+,6,3,-,1]=>[4,2,6,3,5,1]=>[3,2,1]=>[2,1]=>0
[4,-,6,3,-,1]=>[4,2,6,3,5,1]=>[3,2,1]=>[2,1]=>0
[4,+,6,5,1,3]=>[4,2,6,5,1,3]=>[2,2,2]=>[2,2]=>1
[4,-,6,5,1,3]=>[4,2,6,5,1,3]=>[2,2,2]=>[2,2]=>1
[4,+,6,5,3,1]=>[4,2,6,5,3,1]=>[2,2,1,1]=>[2,1,1]=>0
[4,-,6,5,3,1]=>[4,2,6,5,3,1]=>[2,2,1,1]=>[2,1,1]=>0
[4,3,1,2,6,5]=>[4,3,1,2,6,5]=>[3,2,1]=>[2,1]=>0
[4,3,1,5,2,+]=>[4,3,1,5,2,6]=>[3,2,1]=>[2,1]=>0
[4,3,1,5,2,-]=>[4,3,1,5,2,6]=>[3,2,1]=>[2,1]=>0
[4,3,1,5,6,2]=>[4,3,1,5,6,2]=>[3,2,1]=>[2,1]=>0
[4,3,1,6,2,5]=>[4,3,1,6,2,5]=>[3,2,1]=>[2,1]=>0
[4,3,1,6,+,2]=>[4,3,1,6,5,2]=>[2,2,2]=>[2,2]=>1
[4,3,1,6,-,2]=>[4,3,1,6,5,2]=>[2,2,2]=>[2,2]=>1
[4,3,2,1,+,+]=>[4,3,2,1,5,6]=>[3,1,1,1]=>[1,1,1]=>0
[4,3,2,1,-,+]=>[4,3,2,1,5,6]=>[3,1,1,1]=>[1,1,1]=>0
[4,3,2,1,+,-]=>[4,3,2,1,5,6]=>[3,1,1,1]=>[1,1,1]=>0
[4,3,2,1,-,-]=>[4,3,2,1,5,6]=>[3,1,1,1]=>[1,1,1]=>0
[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[2,2,1,1]=>[2,1,1]=>0
[4,3,2,5,1,+]=>[4,3,2,5,1,6]=>[3,1,1,1]=>[1,1,1]=>0
[4,3,2,5,1,-]=>[4,3,2,5,1,6]=>[3,1,1,1]=>[1,1,1]=>0
[4,3,2,5,6,1]=>[4,3,2,5,6,1]=>[3,1,1,1]=>[1,1,1]=>0
[4,3,2,6,1,5]=>[4,3,2,6,1,5]=>[2,2,1,1]=>[2,1,1]=>0
[4,3,2,6,+,1]=>[4,3,2,6,5,1]=>[2,2,1,1]=>[2,1,1]=>0
[4,3,2,6,-,1]=>[4,3,2,6,5,1]=>[2,2,1,1]=>[2,1,1]=>0
[4,3,5,1,2,+]=>[4,3,5,1,2,6]=>[3,2,1]=>[2,1]=>0
[4,3,5,1,2,-]=>[4,3,5,1,2,6]=>[3,2,1]=>[2,1]=>0
[4,3,5,1,6,2]=>[4,3,5,1,6,2]=>[3,2,1]=>[2,1]=>0
[4,3,5,2,1,+]=>[4,3,5,2,1,6]=>[3,1,1,1]=>[1,1,1]=>0
[4,3,5,2,1,-]=>[4,3,5,2,1,6]=>[3,1,1,1]=>[1,1,1]=>0
[4,3,5,2,6,1]=>[4,3,5,2,6,1]=>[3,1,1,1]=>[1,1,1]=>0
[4,3,5,6,1,2]=>[4,3,5,6,1,2]=>[3,2,1]=>[2,1]=>0
[4,3,5,6,2,1]=>[4,3,5,6,2,1]=>[3,1,1,1]=>[1,1,1]=>0
[4,3,6,1,2,5]=>[4,3,6,1,2,5]=>[3,2,1]=>[2,1]=>0
[4,3,6,1,+,2]=>[4,3,6,1,5,2]=>[2,2,2]=>[2,2]=>1
[4,3,6,1,-,2]=>[4,3,6,1,5,2]=>[2,2,2]=>[2,2]=>1
[4,3,6,2,1,5]=>[4,3,6,2,1,5]=>[2,2,1,1]=>[2,1,1]=>0
[4,3,6,2,+,1]=>[4,3,6,2,5,1]=>[2,2,1,1]=>[2,1,1]=>0
[4,3,6,2,-,1]=>[4,3,6,2,5,1]=>[2,2,1,1]=>[2,1,1]=>0
[4,3,6,5,1,2]=>[4,3,6,5,1,2]=>[2,2,2]=>[2,2]=>1
[4,3,6,5,2,1]=>[4,3,6,5,2,1]=>[2,2,1,1]=>[2,1,1]=>0
[4,5,1,2,6,3]=>[4,5,1,2,6,3]=>[3,3]=>[3]=>1
[4,5,1,3,2,+]=>[4,5,1,3,2,6]=>[3,2,1]=>[2,1]=>0
[4,5,1,3,2,-]=>[4,5,1,3,2,6]=>[3,2,1]=>[2,1]=>0
[4,5,1,3,6,2]=>[4,5,1,3,6,2]=>[3,2,1]=>[2,1]=>0
[4,5,1,6,2,3]=>[4,5,1,6,2,3]=>[3,3]=>[3]=>1
[4,5,1,6,3,2]=>[4,5,1,6,3,2]=>[3,2,1]=>[2,1]=>0
[4,5,2,1,3,+]=>[4,5,2,1,3,6]=>[3,2,1]=>[2,1]=>0
[4,5,2,1,3,-]=>[4,5,2,1,3,6]=>[3,2,1]=>[2,1]=>0
[4,5,2,1,6,3]=>[4,5,2,1,6,3]=>[3,2,1]=>[2,1]=>0
[4,5,2,3,1,+]=>[4,5,2,3,1,6]=>[3,2,1]=>[2,1]=>0
[4,5,2,3,1,-]=>[4,5,2,3,1,6]=>[3,2,1]=>[2,1]=>0
[4,5,2,3,6,1]=>[4,5,2,3,6,1]=>[3,2,1]=>[2,1]=>0
[4,5,2,6,1,3]=>[4,5,2,6,1,3]=>[3,2,1]=>[2,1]=>0
[4,5,2,6,3,1]=>[4,5,2,6,3,1]=>[3,2,1]=>[2,1]=>0
[4,5,+,1,2,+]=>[4,5,3,1,2,6]=>[3,2,1]=>[2,1]=>0
[4,5,-,1,2,+]=>[4,5,3,1,2,6]=>[3,2,1]=>[2,1]=>0
[4,5,+,1,2,-]=>[4,5,3,1,2,6]=>[3,2,1]=>[2,1]=>0
[4,5,-,1,2,-]=>[4,5,3,1,2,6]=>[3,2,1]=>[2,1]=>0
[4,5,+,1,6,2]=>[4,5,3,1,6,2]=>[3,2,1]=>[2,1]=>0
[4,5,-,1,6,2]=>[4,5,3,1,6,2]=>[3,2,1]=>[2,1]=>0
[4,5,+,2,1,+]=>[4,5,3,2,1,6]=>[3,1,1,1]=>[1,1,1]=>0
[4,5,-,2,1,+]=>[4,5,3,2,1,6]=>[3,1,1,1]=>[1,1,1]=>0
[4,5,+,2,1,-]=>[4,5,3,2,1,6]=>[3,1,1,1]=>[1,1,1]=>0
[4,5,-,2,1,-]=>[4,5,3,2,1,6]=>[3,1,1,1]=>[1,1,1]=>0
[4,5,+,2,6,1]=>[4,5,3,2,6,1]=>[3,1,1,1]=>[1,1,1]=>0
[4,5,-,2,6,1]=>[4,5,3,2,6,1]=>[3,1,1,1]=>[1,1,1]=>0
[4,5,+,6,1,2]=>[4,5,3,6,1,2]=>[3,2,1]=>[2,1]=>0
[4,5,-,6,1,2]=>[4,5,3,6,1,2]=>[3,2,1]=>[2,1]=>0
[4,5,+,6,2,1]=>[4,5,3,6,2,1]=>[3,1,1,1]=>[1,1,1]=>0
[4,5,-,6,2,1]=>[4,5,3,6,2,1]=>[3,1,1,1]=>[1,1,1]=>0
[4,5,6,1,2,3]=>[4,5,6,1,2,3]=>[3,3]=>[3]=>1
[4,5,6,1,3,2]=>[4,5,6,1,3,2]=>[3,2,1]=>[2,1]=>0
[4,5,6,2,1,3]=>[4,5,6,2,1,3]=>[3,2,1]=>[2,1]=>0
[4,5,6,2,3,1]=>[4,5,6,2,3,1]=>[3,2,1]=>[2,1]=>0
[4,5,6,3,1,2]=>[4,5,6,3,1,2]=>[3,2,1]=>[2,1]=>0
[4,5,6,3,2,1]=>[4,5,6,3,2,1]=>[3,1,1,1]=>[1,1,1]=>0
[4,6,1,2,+,3]=>[4,6,1,2,5,3]=>[3,2,1]=>[2,1]=>0
[4,6,1,2,-,3]=>[4,6,1,2,5,3]=>[3,2,1]=>[2,1]=>0
[4,6,1,3,2,5]=>[4,6,1,3,2,5]=>[3,2,1]=>[2,1]=>0
[4,6,1,3,+,2]=>[4,6,1,3,5,2]=>[3,2,1]=>[2,1]=>0
[4,6,1,3,-,2]=>[4,6,1,3,5,2]=>[3,2,1]=>[2,1]=>0
[4,6,1,5,2,3]=>[4,6,1,5,2,3]=>[3,2,1]=>[2,1]=>0
[4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[2,2,1,1]=>[2,1,1]=>0
[4,6,2,1,3,5]=>[4,6,2,1,3,5]=>[3,2,1]=>[2,1]=>0
[4,6,2,1,+,3]=>[4,6,2,1,5,3]=>[2,2,2]=>[2,2]=>1
[4,6,2,1,-,3]=>[4,6,2,1,5,3]=>[2,2,2]=>[2,2]=>1
[4,6,2,3,1,5]=>[4,6,2,3,1,5]=>[3,2,1]=>[2,1]=>0
[4,6,2,3,+,1]=>[4,6,2,3,5,1]=>[3,2,1]=>[2,1]=>0
[4,6,2,3,-,1]=>[4,6,2,3,5,1]=>[3,2,1]=>[2,1]=>0
[4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[2,2,2]=>[2,2]=>1
[4,6,2,5,3,1]=>[4,6,2,5,3,1]=>[2,2,1,1]=>[2,1,1]=>0
[4,6,+,1,2,5]=>[4,6,3,1,2,5]=>[3,2,1]=>[2,1]=>0
[4,6,-,1,2,5]=>[4,6,3,1,2,5]=>[3,2,1]=>[2,1]=>0
[4,6,+,1,+,2]=>[4,6,3,1,5,2]=>[2,2,2]=>[2,2]=>1
[4,6,-,1,+,2]=>[4,6,3,1,5,2]=>[2,2,2]=>[2,2]=>1
[4,6,+,1,-,2]=>[4,6,3,1,5,2]=>[2,2,2]=>[2,2]=>1
[4,6,-,1,-,2]=>[4,6,3,1,5,2]=>[2,2,2]=>[2,2]=>1
[4,6,+,2,1,5]=>[4,6,3,2,1,5]=>[2,2,1,1]=>[2,1,1]=>0
[4,6,-,2,1,5]=>[4,6,3,2,1,5]=>[2,2,1,1]=>[2,1,1]=>0
[4,6,+,2,+,1]=>[4,6,3,2,5,1]=>[2,2,1,1]=>[2,1,1]=>0
[4,6,-,2,+,1]=>[4,6,3,2,5,1]=>[2,2,1,1]=>[2,1,1]=>0
[4,6,+,2,-,1]=>[4,6,3,2,5,1]=>[2,2,1,1]=>[2,1,1]=>0
[4,6,-,2,-,1]=>[4,6,3,2,5,1]=>[2,2,1,1]=>[2,1,1]=>0
[4,6,+,5,1,2]=>[4,6,3,5,1,2]=>[2,2,2]=>[2,2]=>1
[4,6,-,5,1,2]=>[4,6,3,5,1,2]=>[2,2,2]=>[2,2]=>1
[4,6,+,5,2,1]=>[4,6,3,5,2,1]=>[2,2,1,1]=>[2,1,1]=>0
[4,6,-,5,2,1]=>[4,6,3,5,2,1]=>[2,2,1,1]=>[2,1,1]=>0
[4,6,5,1,2,3]=>[4,6,5,1,2,3]=>[3,2,1]=>[2,1]=>0
[4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[2,2,1,1]=>[2,1,1]=>0
[4,6,5,2,1,3]=>[4,6,5,2,1,3]=>[2,2,1,1]=>[2,1,1]=>0
[4,6,5,2,3,1]=>[4,6,5,2,3,1]=>[2,2,1,1]=>[2,1,1]=>0
[4,6,5,3,1,2]=>[4,6,5,3,1,2]=>[2,2,1,1]=>[2,1,1]=>0
[4,6,5,3,2,1]=>[4,6,5,3,2,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[5,1,2,6,4,3]=>[5,1,2,6,4,3]=>[3,2,1]=>[2,1]=>0
[5,1,+,2,6,4]=>[5,1,3,2,6,4]=>[3,2,1]=>[2,1]=>0
[5,1,-,2,6,4]=>[5,1,3,2,6,4]=>[3,2,1]=>[2,1]=>0
[5,1,+,6,2,4]=>[5,1,3,6,2,4]=>[3,2,1]=>[2,1]=>0
[5,1,-,6,2,4]=>[5,1,3,6,2,4]=>[3,2,1]=>[2,1]=>0
[5,1,+,6,4,2]=>[5,1,3,6,4,2]=>[3,2,1]=>[2,1]=>0
[5,1,-,6,4,2]=>[5,1,3,6,4,2]=>[3,2,1]=>[2,1]=>0
[5,1,4,2,6,3]=>[5,1,4,2,6,3]=>[3,2,1]=>[2,1]=>0
[5,1,4,3,2,+]=>[5,1,4,3,2,6]=>[3,1,1,1]=>[1,1,1]=>0
[5,1,4,3,2,-]=>[5,1,4,3,2,6]=>[3,1,1,1]=>[1,1,1]=>0
[5,1,4,3,6,2]=>[5,1,4,3,6,2]=>[3,1,1,1]=>[1,1,1]=>0
[5,1,4,6,2,3]=>[5,1,4,6,2,3]=>[3,2,1]=>[2,1]=>0
[5,1,4,6,3,2]=>[5,1,4,6,3,2]=>[3,1,1,1]=>[1,1,1]=>0
[5,1,6,2,4,3]=>[5,1,6,2,4,3]=>[3,2,1]=>[2,1]=>0
[5,1,6,3,2,4]=>[5,1,6,3,2,4]=>[3,2,1]=>[2,1]=>0
[5,1,6,3,4,2]=>[5,1,6,3,4,2]=>[3,2,1]=>[2,1]=>0
[5,1,6,+,2,3]=>[5,1,6,4,2,3]=>[3,2,1]=>[2,1]=>0
[5,1,6,-,2,3]=>[5,1,6,4,2,3]=>[3,2,1]=>[2,1]=>0
[5,1,6,+,3,2]=>[5,1,6,4,3,2]=>[2,2,1,1]=>[2,1,1]=>0
[5,1,6,-,3,2]=>[5,1,6,4,3,2]=>[2,2,1,1]=>[2,1,1]=>0
[5,+,1,3,6,4]=>[5,2,1,3,6,4]=>[3,2,1]=>[2,1]=>0
[5,-,1,3,6,4]=>[5,2,1,3,6,4]=>[3,2,1]=>[2,1]=>0
[5,+,1,+,3,+]=>[5,2,1,4,3,6]=>[3,2,1]=>[2,1]=>0
[5,-,1,+,3,+]=>[5,2,1,4,3,6]=>[3,2,1]=>[2,1]=>0
[5,+,1,-,3,+]=>[5,2,1,4,3,6]=>[3,2,1]=>[2,1]=>0
[5,+,1,+,3,-]=>[5,2,1,4,3,6]=>[3,2,1]=>[2,1]=>0
[5,-,1,-,3,+]=>[5,2,1,4,3,6]=>[3,2,1]=>[2,1]=>0
[5,-,1,+,3,-]=>[5,2,1,4,3,6]=>[3,2,1]=>[2,1]=>0
[5,+,1,-,3,-]=>[5,2,1,4,3,6]=>[3,2,1]=>[2,1]=>0
[5,-,1,-,3,-]=>[5,2,1,4,3,6]=>[3,2,1]=>[2,1]=>0
[5,+,1,+,6,3]=>[5,2,1,4,6,3]=>[3,2,1]=>[2,1]=>0
[5,-,1,+,6,3]=>[5,2,1,4,6,3]=>[3,2,1]=>[2,1]=>0
[5,+,1,-,6,3]=>[5,2,1,4,6,3]=>[3,2,1]=>[2,1]=>0
[5,-,1,-,6,3]=>[5,2,1,4,6,3]=>[3,2,1]=>[2,1]=>0
[5,+,1,6,3,4]=>[5,2,1,6,3,4]=>[3,2,1]=>[2,1]=>0
[5,-,1,6,3,4]=>[5,2,1,6,3,4]=>[3,2,1]=>[2,1]=>0
[5,+,1,6,4,3]=>[5,2,1,6,4,3]=>[2,2,2]=>[2,2]=>1
[5,-,1,6,4,3]=>[5,2,1,6,4,3]=>[2,2,2]=>[2,2]=>1
[5,+,+,1,6,4]=>[5,2,3,1,6,4]=>[3,2,1]=>[2,1]=>0
[5,-,+,1,6,4]=>[5,2,3,1,6,4]=>[3,2,1]=>[2,1]=>0
[5,+,-,1,6,4]=>[5,2,3,1,6,4]=>[3,2,1]=>[2,1]=>0
[5,-,-,1,6,4]=>[5,2,3,1,6,4]=>[3,2,1]=>[2,1]=>0
[5,+,+,6,1,4]=>[5,2,3,6,1,4]=>[3,2,1]=>[2,1]=>0
[5,-,+,6,1,4]=>[5,2,3,6,1,4]=>[3,2,1]=>[2,1]=>0
[5,+,-,6,1,4]=>[5,2,3,6,1,4]=>[3,2,1]=>[2,1]=>0
[5,-,-,6,1,4]=>[5,2,3,6,1,4]=>[3,2,1]=>[2,1]=>0
[5,+,+,6,4,1]=>[5,2,3,6,4,1]=>[3,2,1]=>[2,1]=>0
[5,-,+,6,4,1]=>[5,2,3,6,4,1]=>[3,2,1]=>[2,1]=>0
[5,+,-,6,4,1]=>[5,2,3,6,4,1]=>[3,2,1]=>[2,1]=>0
[5,-,-,6,4,1]=>[5,2,3,6,4,1]=>[3,2,1]=>[2,1]=>0
[5,+,4,1,3,+]=>[5,2,4,1,3,6]=>[3,2,1]=>[2,1]=>0
[5,-,4,1,3,+]=>[5,2,4,1,3,6]=>[3,2,1]=>[2,1]=>0
[5,+,4,1,3,-]=>[5,2,4,1,3,6]=>[3,2,1]=>[2,1]=>0
[5,-,4,1,3,-]=>[5,2,4,1,3,6]=>[3,2,1]=>[2,1]=>0
[5,+,4,1,6,3]=>[5,2,4,1,6,3]=>[3,2,1]=>[2,1]=>0
[5,-,4,1,6,3]=>[5,2,4,1,6,3]=>[3,2,1]=>[2,1]=>0
[5,+,4,3,1,+]=>[5,2,4,3,1,6]=>[3,1,1,1]=>[1,1,1]=>0
[5,-,4,3,1,+]=>[5,2,4,3,1,6]=>[3,1,1,1]=>[1,1,1]=>0
[5,+,4,3,1,-]=>[5,2,4,3,1,6]=>[3,1,1,1]=>[1,1,1]=>0
[5,-,4,3,1,-]=>[5,2,4,3,1,6]=>[3,1,1,1]=>[1,1,1]=>0
[5,+,4,3,6,1]=>[5,2,4,3,6,1]=>[3,1,1,1]=>[1,1,1]=>0
[5,-,4,3,6,1]=>[5,2,4,3,6,1]=>[3,1,1,1]=>[1,1,1]=>0
[5,+,4,6,1,3]=>[5,2,4,6,1,3]=>[3,2,1]=>[2,1]=>0
[5,-,4,6,1,3]=>[5,2,4,6,1,3]=>[3,2,1]=>[2,1]=>0
[5,+,4,6,3,1]=>[5,2,4,6,3,1]=>[3,1,1,1]=>[1,1,1]=>0
[5,-,4,6,3,1]=>[5,2,4,6,3,1]=>[3,1,1,1]=>[1,1,1]=>0
[5,+,6,1,3,4]=>[5,2,6,1,3,4]=>[3,2,1]=>[2,1]=>0
[5,-,6,1,3,4]=>[5,2,6,1,3,4]=>[3,2,1]=>[2,1]=>0
[5,+,6,1,4,3]=>[5,2,6,1,4,3]=>[2,2,2]=>[2,2]=>1
[5,-,6,1,4,3]=>[5,2,6,1,4,3]=>[2,2,2]=>[2,2]=>1
[5,+,6,3,1,4]=>[5,2,6,3,1,4]=>[3,2,1]=>[2,1]=>0
[5,-,6,3,1,4]=>[5,2,6,3,1,4]=>[3,2,1]=>[2,1]=>0
[5,+,6,3,4,1]=>[5,2,6,3,4,1]=>[3,2,1]=>[2,1]=>0
[5,-,6,3,4,1]=>[5,2,6,3,4,1]=>[3,2,1]=>[2,1]=>0
[5,+,6,+,1,3]=>[5,2,6,4,1,3]=>[2,2,2]=>[2,2]=>1
[5,-,6,+,1,3]=>[5,2,6,4,1,3]=>[2,2,2]=>[2,2]=>1
[5,+,6,-,1,3]=>[5,2,6,4,1,3]=>[2,2,2]=>[2,2]=>1
[5,-,6,-,1,3]=>[5,2,6,4,1,3]=>[2,2,2]=>[2,2]=>1
[5,+,6,+,3,1]=>[5,2,6,4,3,1]=>[2,2,1,1]=>[2,1,1]=>0
[5,-,6,+,3,1]=>[5,2,6,4,3,1]=>[2,2,1,1]=>[2,1,1]=>0
[5,+,6,-,3,1]=>[5,2,6,4,3,1]=>[2,2,1,1]=>[2,1,1]=>0
[5,-,6,-,3,1]=>[5,2,6,4,3,1]=>[2,2,1,1]=>[2,1,1]=>0
[5,3,1,2,6,4]=>[5,3,1,2,6,4]=>[3,2,1]=>[2,1]=>0
[5,3,1,+,2,+]=>[5,3,1,4,2,6]=>[3,2,1]=>[2,1]=>0
[5,3,1,-,2,+]=>[5,3,1,4,2,6]=>[3,2,1]=>[2,1]=>0
[5,3,1,+,2,-]=>[5,3,1,4,2,6]=>[3,2,1]=>[2,1]=>0
[5,3,1,-,2,-]=>[5,3,1,4,2,6]=>[3,2,1]=>[2,1]=>0
[5,3,1,+,6,2]=>[5,3,1,4,6,2]=>[3,2,1]=>[2,1]=>0
[5,3,1,-,6,2]=>[5,3,1,4,6,2]=>[3,2,1]=>[2,1]=>0
[5,3,1,6,2,4]=>[5,3,1,6,2,4]=>[3,2,1]=>[2,1]=>0
[5,3,1,6,4,2]=>[5,3,1,6,4,2]=>[2,2,2]=>[2,2]=>1
[5,3,2,1,4,+]=>[5,3,2,1,4,6]=>[3,1,1,1]=>[1,1,1]=>0
[5,3,2,1,4,-]=>[5,3,2,1,4,6]=>[3,1,1,1]=>[1,1,1]=>0
[5,3,2,1,6,4]=>[5,3,2,1,6,4]=>[2,2,1,1]=>[2,1,1]=>0
[5,3,2,+,1,+]=>[5,3,2,4,1,6]=>[3,1,1,1]=>[1,1,1]=>0
[5,3,2,-,1,+]=>[5,3,2,4,1,6]=>[3,1,1,1]=>[1,1,1]=>0
[5,3,2,+,1,-]=>[5,3,2,4,1,6]=>[3,1,1,1]=>[1,1,1]=>0
[5,3,2,-,1,-]=>[5,3,2,4,1,6]=>[3,1,1,1]=>[1,1,1]=>0
[5,3,2,+,6,1]=>[5,3,2,4,6,1]=>[3,1,1,1]=>[1,1,1]=>0
[5,3,2,-,6,1]=>[5,3,2,4,6,1]=>[3,1,1,1]=>[1,1,1]=>0
[5,3,2,6,1,4]=>[5,3,2,6,1,4]=>[2,2,1,1]=>[2,1,1]=>0
[5,3,2,6,4,1]=>[5,3,2,6,4,1]=>[2,2,1,1]=>[2,1,1]=>0
[5,3,4,1,2,+]=>[5,3,4,1,2,6]=>[3,2,1]=>[2,1]=>0
[5,3,4,1,2,-]=>[5,3,4,1,2,6]=>[3,2,1]=>[2,1]=>0
[5,3,4,1,6,2]=>[5,3,4,1,6,2]=>[3,2,1]=>[2,1]=>0
[5,3,4,2,1,+]=>[5,3,4,2,1,6]=>[3,1,1,1]=>[1,1,1]=>0
[5,3,4,2,1,-]=>[5,3,4,2,1,6]=>[3,1,1,1]=>[1,1,1]=>0
[5,3,4,2,6,1]=>[5,3,4,2,6,1]=>[3,1,1,1]=>[1,1,1]=>0
[5,3,4,6,1,2]=>[5,3,4,6,1,2]=>[3,2,1]=>[2,1]=>0
[5,3,4,6,2,1]=>[5,3,4,6,2,1]=>[3,1,1,1]=>[1,1,1]=>0
[5,3,6,1,2,4]=>[5,3,6,1,2,4]=>[3,2,1]=>[2,1]=>0
[5,3,6,1,4,2]=>[5,3,6,1,4,2]=>[2,2,2]=>[2,2]=>1
[5,3,6,2,1,4]=>[5,3,6,2,1,4]=>[2,2,1,1]=>[2,1,1]=>0
[5,3,6,2,4,1]=>[5,3,6,2,4,1]=>[2,2,1,1]=>[2,1,1]=>0
[5,3,6,+,1,2]=>[5,3,6,4,1,2]=>[2,2,2]=>[2,2]=>1
[5,3,6,-,1,2]=>[5,3,6,4,1,2]=>[2,2,2]=>[2,2]=>1
[5,3,6,+,2,1]=>[5,3,6,4,2,1]=>[2,2,1,1]=>[2,1,1]=>0
[5,3,6,-,2,1]=>[5,3,6,4,2,1]=>[2,2,1,1]=>[2,1,1]=>0
[5,4,1,2,6,3]=>[5,4,1,2,6,3]=>[3,2,1]=>[2,1]=>0
[5,4,1,3,2,+]=>[5,4,1,3,2,6]=>[3,1,1,1]=>[1,1,1]=>0
[5,4,1,3,2,-]=>[5,4,1,3,2,6]=>[3,1,1,1]=>[1,1,1]=>0
[5,4,1,3,6,2]=>[5,4,1,3,6,2]=>[3,1,1,1]=>[1,1,1]=>0
[5,4,1,6,2,3]=>[5,4,1,6,2,3]=>[3,2,1]=>[2,1]=>0
[5,4,1,6,3,2]=>[5,4,1,6,3,2]=>[2,2,1,1]=>[2,1,1]=>0
[5,4,2,1,3,+]=>[5,4,2,1,3,6]=>[3,1,1,1]=>[1,1,1]=>0
[5,4,2,1,3,-]=>[5,4,2,1,3,6]=>[3,1,1,1]=>[1,1,1]=>0
[5,4,2,1,6,3]=>[5,4,2,1,6,3]=>[2,2,1,1]=>[2,1,1]=>0
[5,4,2,3,1,+]=>[5,4,2,3,1,6]=>[3,1,1,1]=>[1,1,1]=>0
[5,4,2,3,1,-]=>[5,4,2,3,1,6]=>[3,1,1,1]=>[1,1,1]=>0
[5,4,2,3,6,1]=>[5,4,2,3,6,1]=>[3,1,1,1]=>[1,1,1]=>0
[5,4,2,6,1,3]=>[5,4,2,6,1,3]=>[2,2,1,1]=>[2,1,1]=>0
[5,4,2,6,3,1]=>[5,4,2,6,3,1]=>[2,2,1,1]=>[2,1,1]=>0
[5,4,+,1,2,+]=>[5,4,3,1,2,6]=>[3,1,1,1]=>[1,1,1]=>0
[5,4,-,1,2,+]=>[5,4,3,1,2,6]=>[3,1,1,1]=>[1,1,1]=>0
[5,4,+,1,2,-]=>[5,4,3,1,2,6]=>[3,1,1,1]=>[1,1,1]=>0
[5,4,-,1,2,-]=>[5,4,3,1,2,6]=>[3,1,1,1]=>[1,1,1]=>0
[5,4,+,1,6,2]=>[5,4,3,1,6,2]=>[2,2,1,1]=>[2,1,1]=>0
[5,4,-,1,6,2]=>[5,4,3,1,6,2]=>[2,2,1,1]=>[2,1,1]=>0
[5,4,+,2,1,+]=>[5,4,3,2,1,6]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[5,4,-,2,1,+]=>[5,4,3,2,1,6]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[5,4,+,2,1,-]=>[5,4,3,2,1,6]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[5,4,-,2,1,-]=>[5,4,3,2,1,6]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[5,4,+,2,6,1]=>[5,4,3,2,6,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[5,4,-,2,6,1]=>[5,4,3,2,6,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[5,4,+,6,1,2]=>[5,4,3,6,1,2]=>[2,2,1,1]=>[2,1,1]=>0
[5,4,-,6,1,2]=>[5,4,3,6,1,2]=>[2,2,1,1]=>[2,1,1]=>0
[5,4,+,6,2,1]=>[5,4,3,6,2,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[5,4,-,6,2,1]=>[5,4,3,6,2,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[5,4,6,1,2,3]=>[5,4,6,1,2,3]=>[3,2,1]=>[2,1]=>0
[5,4,6,1,3,2]=>[5,4,6,1,3,2]=>[2,2,1,1]=>[2,1,1]=>0
[5,4,6,2,1,3]=>[5,4,6,2,1,3]=>[2,2,1,1]=>[2,1,1]=>0
[5,4,6,2,3,1]=>[5,4,6,2,3,1]=>[2,2,1,1]=>[2,1,1]=>0
[5,4,6,3,1,2]=>[5,4,6,3,1,2]=>[2,2,1,1]=>[2,1,1]=>0
[5,4,6,3,2,1]=>[5,4,6,3,2,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[5,6,1,2,4,3]=>[5,6,1,2,4,3]=>[3,2,1]=>[2,1]=>0
[5,6,1,3,2,4]=>[5,6,1,3,2,4]=>[3,2,1]=>[2,1]=>0
[5,6,1,3,4,2]=>[5,6,1,3,4,2]=>[3,2,1]=>[2,1]=>0
[5,6,1,+,2,3]=>[5,6,1,4,2,3]=>[3,2,1]=>[2,1]=>0
[5,6,1,-,2,3]=>[5,6,1,4,2,3]=>[3,2,1]=>[2,1]=>0
[5,6,1,+,3,2]=>[5,6,1,4,3,2]=>[2,2,1,1]=>[2,1,1]=>0
[5,6,1,-,3,2]=>[5,6,1,4,3,2]=>[2,2,1,1]=>[2,1,1]=>0
[5,6,2,1,3,4]=>[5,6,2,1,3,4]=>[3,2,1]=>[2,1]=>0
[5,6,2,1,4,3]=>[5,6,2,1,4,3]=>[2,2,2]=>[2,2]=>1
[5,6,2,3,1,4]=>[5,6,2,3,1,4]=>[3,2,1]=>[2,1]=>0
[5,6,2,3,4,1]=>[5,6,2,3,4,1]=>[3,2,1]=>[2,1]=>0
[5,6,2,+,1,3]=>[5,6,2,4,1,3]=>[2,2,2]=>[2,2]=>1
[5,6,2,-,1,3]=>[5,6,2,4,1,3]=>[2,2,2]=>[2,2]=>1
[5,6,2,+,3,1]=>[5,6,2,4,3,1]=>[2,2,1,1]=>[2,1,1]=>0
[5,6,2,-,3,1]=>[5,6,2,4,3,1]=>[2,2,1,1]=>[2,1,1]=>0
[5,6,+,1,2,4]=>[5,6,3,1,2,4]=>[3,2,1]=>[2,1]=>0
[5,6,-,1,2,4]=>[5,6,3,1,2,4]=>[3,2,1]=>[2,1]=>0
[5,6,+,1,4,2]=>[5,6,3,1,4,2]=>[2,2,2]=>[2,2]=>1
[5,6,-,1,4,2]=>[5,6,3,1,4,2]=>[2,2,2]=>[2,2]=>1
[5,6,+,2,1,4]=>[5,6,3,2,1,4]=>[2,2,1,1]=>[2,1,1]=>0
[5,6,-,2,1,4]=>[5,6,3,2,1,4]=>[2,2,1,1]=>[2,1,1]=>0
[5,6,+,2,4,1]=>[5,6,3,2,4,1]=>[2,2,1,1]=>[2,1,1]=>0
[5,6,-,2,4,1]=>[5,6,3,2,4,1]=>[2,2,1,1]=>[2,1,1]=>0
[5,6,+,+,1,2]=>[5,6,3,4,1,2]=>[2,2,2]=>[2,2]=>1
[5,6,-,+,1,2]=>[5,6,3,4,1,2]=>[2,2,2]=>[2,2]=>1
[5,6,+,-,1,2]=>[5,6,3,4,1,2]=>[2,2,2]=>[2,2]=>1
[5,6,-,-,1,2]=>[5,6,3,4,1,2]=>[2,2,2]=>[2,2]=>1
[5,6,+,+,2,1]=>[5,6,3,4,2,1]=>[2,2,1,1]=>[2,1,1]=>0
[5,6,-,+,2,1]=>[5,6,3,4,2,1]=>[2,2,1,1]=>[2,1,1]=>0
[5,6,+,-,2,1]=>[5,6,3,4,2,1]=>[2,2,1,1]=>[2,1,1]=>0
[5,6,-,-,2,1]=>[5,6,3,4,2,1]=>[2,2,1,1]=>[2,1,1]=>0
[5,6,4,1,2,3]=>[5,6,4,1,2,3]=>[3,2,1]=>[2,1]=>0
[5,6,4,1,3,2]=>[5,6,4,1,3,2]=>[2,2,1,1]=>[2,1,1]=>0
[5,6,4,2,1,3]=>[5,6,4,2,1,3]=>[2,2,1,1]=>[2,1,1]=>0
[5,6,4,2,3,1]=>[5,6,4,2,3,1]=>[2,2,1,1]=>[2,1,1]=>0
[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[2,2,1,1]=>[2,1,1]=>0
[5,6,4,3,2,1]=>[5,6,4,3,2,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[6,1,2,5,4,3]=>[6,1,2,5,4,3]=>[3,1,1,1]=>[1,1,1]=>0
[6,1,+,2,+,4]=>[6,1,3,2,5,4]=>[3,2,1]=>[2,1]=>0
[6,1,-,2,+,4]=>[6,1,3,2,5,4]=>[3,2,1]=>[2,1]=>0
[6,1,+,2,-,4]=>[6,1,3,2,5,4]=>[3,2,1]=>[2,1]=>0
[6,1,-,2,-,4]=>[6,1,3,2,5,4]=>[3,2,1]=>[2,1]=>0
[6,1,+,5,2,4]=>[6,1,3,5,2,4]=>[3,2,1]=>[2,1]=>0
[6,1,-,5,2,4]=>[6,1,3,5,2,4]=>[3,2,1]=>[2,1]=>0
[6,1,+,5,4,2]=>[6,1,3,5,4,2]=>[3,1,1,1]=>[1,1,1]=>0
[6,1,-,5,4,2]=>[6,1,3,5,4,2]=>[3,1,1,1]=>[1,1,1]=>0
[6,1,4,2,+,3]=>[6,1,4,2,5,3]=>[3,2,1]=>[2,1]=>0
[6,1,4,2,-,3]=>[6,1,4,2,5,3]=>[3,2,1]=>[2,1]=>0
[6,1,4,3,2,5]=>[6,1,4,3,2,5]=>[3,1,1,1]=>[1,1,1]=>0
[6,1,4,3,+,2]=>[6,1,4,3,5,2]=>[3,1,1,1]=>[1,1,1]=>0
[6,1,4,3,-,2]=>[6,1,4,3,5,2]=>[3,1,1,1]=>[1,1,1]=>0
[6,1,4,5,2,3]=>[6,1,4,5,2,3]=>[3,2,1]=>[2,1]=>0
[6,1,4,5,3,2]=>[6,1,4,5,3,2]=>[3,1,1,1]=>[1,1,1]=>0
[6,1,5,2,4,3]=>[6,1,5,2,4,3]=>[3,1,1,1]=>[1,1,1]=>0
[6,1,5,3,2,4]=>[6,1,5,3,2,4]=>[3,1,1,1]=>[1,1,1]=>0
[6,1,5,3,4,2]=>[6,1,5,3,4,2]=>[3,1,1,1]=>[1,1,1]=>0
[6,1,5,+,2,3]=>[6,1,5,4,2,3]=>[3,1,1,1]=>[1,1,1]=>0
[6,1,5,-,2,3]=>[6,1,5,4,2,3]=>[3,1,1,1]=>[1,1,1]=>0
[6,1,5,+,3,2]=>[6,1,5,4,3,2]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[6,1,5,-,3,2]=>[6,1,5,4,3,2]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[6,+,1,3,+,4]=>[6,2,1,3,5,4]=>[3,2,1]=>[2,1]=>0
[6,-,1,3,+,4]=>[6,2,1,3,5,4]=>[3,2,1]=>[2,1]=>0
[6,+,1,3,-,4]=>[6,2,1,3,5,4]=>[3,2,1]=>[2,1]=>0
[6,-,1,3,-,4]=>[6,2,1,3,5,4]=>[3,2,1]=>[2,1]=>0
[6,+,1,+,3,5]=>[6,2,1,4,3,5]=>[3,2,1]=>[2,1]=>0
[6,-,1,+,3,5]=>[6,2,1,4,3,5]=>[3,2,1]=>[2,1]=>0
[6,+,1,-,3,5]=>[6,2,1,4,3,5]=>[3,2,1]=>[2,1]=>0
[6,-,1,-,3,5]=>[6,2,1,4,3,5]=>[3,2,1]=>[2,1]=>0
[6,+,1,+,+,3]=>[6,2,1,4,5,3]=>[3,2,1]=>[2,1]=>0
[6,-,1,+,+,3]=>[6,2,1,4,5,3]=>[3,2,1]=>[2,1]=>0
[6,+,1,-,+,3]=>[6,2,1,4,5,3]=>[3,2,1]=>[2,1]=>0
[6,+,1,+,-,3]=>[6,2,1,4,5,3]=>[3,2,1]=>[2,1]=>0
[6,-,1,-,+,3]=>[6,2,1,4,5,3]=>[3,2,1]=>[2,1]=>0
[6,-,1,+,-,3]=>[6,2,1,4,5,3]=>[3,2,1]=>[2,1]=>0
[6,+,1,-,-,3]=>[6,2,1,4,5,3]=>[3,2,1]=>[2,1]=>0
[6,-,1,-,-,3]=>[6,2,1,4,5,3]=>[3,2,1]=>[2,1]=>0
[6,+,1,5,3,4]=>[6,2,1,5,3,4]=>[3,2,1]=>[2,1]=>0
[6,-,1,5,3,4]=>[6,2,1,5,3,4]=>[3,2,1]=>[2,1]=>0
[6,+,1,5,4,3]=>[6,2,1,5,4,3]=>[2,2,1,1]=>[2,1,1]=>0
[6,-,1,5,4,3]=>[6,2,1,5,4,3]=>[2,2,1,1]=>[2,1,1]=>0
[6,+,+,1,+,4]=>[6,2,3,1,5,4]=>[3,2,1]=>[2,1]=>0
[6,-,+,1,+,4]=>[6,2,3,1,5,4]=>[3,2,1]=>[2,1]=>0
[6,+,-,1,+,4]=>[6,2,3,1,5,4]=>[3,2,1]=>[2,1]=>0
[6,+,+,1,-,4]=>[6,2,3,1,5,4]=>[3,2,1]=>[2,1]=>0
[6,-,-,1,+,4]=>[6,2,3,1,5,4]=>[3,2,1]=>[2,1]=>0
[6,-,+,1,-,4]=>[6,2,3,1,5,4]=>[3,2,1]=>[2,1]=>0
[6,+,-,1,-,4]=>[6,2,3,1,5,4]=>[3,2,1]=>[2,1]=>0
[6,-,-,1,-,4]=>[6,2,3,1,5,4]=>[3,2,1]=>[2,1]=>0
[6,+,+,5,1,4]=>[6,2,3,5,1,4]=>[3,2,1]=>[2,1]=>0
[6,-,+,5,1,4]=>[6,2,3,5,1,4]=>[3,2,1]=>[2,1]=>0
[6,+,-,5,1,4]=>[6,2,3,5,1,4]=>[3,2,1]=>[2,1]=>0
[6,-,-,5,1,4]=>[6,2,3,5,1,4]=>[3,2,1]=>[2,1]=>0
[6,+,+,5,4,1]=>[6,2,3,5,4,1]=>[3,1,1,1]=>[1,1,1]=>0
[6,-,+,5,4,1]=>[6,2,3,5,4,1]=>[3,1,1,1]=>[1,1,1]=>0
[6,+,-,5,4,1]=>[6,2,3,5,4,1]=>[3,1,1,1]=>[1,1,1]=>0
[6,-,-,5,4,1]=>[6,2,3,5,4,1]=>[3,1,1,1]=>[1,1,1]=>0
[6,+,4,1,3,5]=>[6,2,4,1,3,5]=>[3,2,1]=>[2,1]=>0
[6,-,4,1,3,5]=>[6,2,4,1,3,5]=>[3,2,1]=>[2,1]=>0
[6,+,4,1,+,3]=>[6,2,4,1,5,3]=>[3,2,1]=>[2,1]=>0
[6,-,4,1,+,3]=>[6,2,4,1,5,3]=>[3,2,1]=>[2,1]=>0
[6,+,4,1,-,3]=>[6,2,4,1,5,3]=>[3,2,1]=>[2,1]=>0
[6,-,4,1,-,3]=>[6,2,4,1,5,3]=>[3,2,1]=>[2,1]=>0
[6,+,4,3,1,5]=>[6,2,4,3,1,5]=>[3,1,1,1]=>[1,1,1]=>0
[6,-,4,3,1,5]=>[6,2,4,3,1,5]=>[3,1,1,1]=>[1,1,1]=>0
[6,+,4,3,+,1]=>[6,2,4,3,5,1]=>[3,1,1,1]=>[1,1,1]=>0
[6,-,4,3,+,1]=>[6,2,4,3,5,1]=>[3,1,1,1]=>[1,1,1]=>0
[6,+,4,3,-,1]=>[6,2,4,3,5,1]=>[3,1,1,1]=>[1,1,1]=>0
[6,-,4,3,-,1]=>[6,2,4,3,5,1]=>[3,1,1,1]=>[1,1,1]=>0
[6,+,4,5,1,3]=>[6,2,4,5,1,3]=>[3,2,1]=>[2,1]=>0
[6,-,4,5,1,3]=>[6,2,4,5,1,3]=>[3,2,1]=>[2,1]=>0
[6,+,4,5,3,1]=>[6,2,4,5,3,1]=>[3,1,1,1]=>[1,1,1]=>0
[6,-,4,5,3,1]=>[6,2,4,5,3,1]=>[3,1,1,1]=>[1,1,1]=>0
[6,+,5,1,3,4]=>[6,2,5,1,3,4]=>[3,2,1]=>[2,1]=>0
[6,-,5,1,3,4]=>[6,2,5,1,3,4]=>[3,2,1]=>[2,1]=>0
[6,+,5,1,4,3]=>[6,2,5,1,4,3]=>[2,2,1,1]=>[2,1,1]=>0
[6,-,5,1,4,3]=>[6,2,5,1,4,3]=>[2,2,1,1]=>[2,1,1]=>0
[6,+,5,3,1,4]=>[6,2,5,3,1,4]=>[3,1,1,1]=>[1,1,1]=>0
[6,-,5,3,1,4]=>[6,2,5,3,1,4]=>[3,1,1,1]=>[1,1,1]=>0
[6,+,5,3,4,1]=>[6,2,5,3,4,1]=>[3,1,1,1]=>[1,1,1]=>0
[6,-,5,3,4,1]=>[6,2,5,3,4,1]=>[3,1,1,1]=>[1,1,1]=>0
[6,+,5,+,1,3]=>[6,2,5,4,1,3]=>[2,2,1,1]=>[2,1,1]=>0
[6,-,5,+,1,3]=>[6,2,5,4,1,3]=>[2,2,1,1]=>[2,1,1]=>0
[6,+,5,-,1,3]=>[6,2,5,4,1,3]=>[2,2,1,1]=>[2,1,1]=>0
[6,-,5,-,1,3]=>[6,2,5,4,1,3]=>[2,2,1,1]=>[2,1,1]=>0
[6,+,5,+,3,1]=>[6,2,5,4,3,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[6,-,5,+,3,1]=>[6,2,5,4,3,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[6,+,5,-,3,1]=>[6,2,5,4,3,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[6,-,5,-,3,1]=>[6,2,5,4,3,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[6,3,1,2,+,4]=>[6,3,1,2,5,4]=>[3,2,1]=>[2,1]=>0
[6,3,1,2,-,4]=>[6,3,1,2,5,4]=>[3,2,1]=>[2,1]=>0
[6,3,1,+,2,5]=>[6,3,1,4,2,5]=>[3,2,1]=>[2,1]=>0
[6,3,1,-,2,5]=>[6,3,1,4,2,5]=>[3,2,1]=>[2,1]=>0
[6,3,1,+,+,2]=>[6,3,1,4,5,2]=>[3,2,1]=>[2,1]=>0
[6,3,1,-,+,2]=>[6,3,1,4,5,2]=>[3,2,1]=>[2,1]=>0
[6,3,1,+,-,2]=>[6,3,1,4,5,2]=>[3,2,1]=>[2,1]=>0
[6,3,1,-,-,2]=>[6,3,1,4,5,2]=>[3,2,1]=>[2,1]=>0
[6,3,1,5,2,4]=>[6,3,1,5,2,4]=>[3,2,1]=>[2,1]=>0
[6,3,1,5,4,2]=>[6,3,1,5,4,2]=>[2,2,1,1]=>[2,1,1]=>0
[6,3,2,1,4,5]=>[6,3,2,1,4,5]=>[3,1,1,1]=>[1,1,1]=>0
[6,3,2,1,+,4]=>[6,3,2,1,5,4]=>[2,2,1,1]=>[2,1,1]=>0
[6,3,2,1,-,4]=>[6,3,2,1,5,4]=>[2,2,1,1]=>[2,1,1]=>0
[6,3,2,+,1,5]=>[6,3,2,4,1,5]=>[3,1,1,1]=>[1,1,1]=>0
[6,3,2,-,1,5]=>[6,3,2,4,1,5]=>[3,1,1,1]=>[1,1,1]=>0
[6,3,2,+,+,1]=>[6,3,2,4,5,1]=>[3,1,1,1]=>[1,1,1]=>0
[6,3,2,-,+,1]=>[6,3,2,4,5,1]=>[3,1,1,1]=>[1,1,1]=>0
[6,3,2,+,-,1]=>[6,3,2,4,5,1]=>[3,1,1,1]=>[1,1,1]=>0
[6,3,2,-,-,1]=>[6,3,2,4,5,1]=>[3,1,1,1]=>[1,1,1]=>0
[6,3,2,5,1,4]=>[6,3,2,5,1,4]=>[2,2,1,1]=>[2,1,1]=>0
[6,3,2,5,4,1]=>[6,3,2,5,4,1]=>[2,2,1,1]=>[2,1,1]=>0
[6,3,4,1,2,5]=>[6,3,4,1,2,5]=>[3,2,1]=>[2,1]=>0
[6,3,4,1,+,2]=>[6,3,4,1,5,2]=>[3,2,1]=>[2,1]=>0
[6,3,4,1,-,2]=>[6,3,4,1,5,2]=>[3,2,1]=>[2,1]=>0
[6,3,4,2,1,5]=>[6,3,4,2,1,5]=>[3,1,1,1]=>[1,1,1]=>0
[6,3,4,2,+,1]=>[6,3,4,2,5,1]=>[3,1,1,1]=>[1,1,1]=>0
[6,3,4,2,-,1]=>[6,3,4,2,5,1]=>[3,1,1,1]=>[1,1,1]=>0
[6,3,4,5,1,2]=>[6,3,4,5,1,2]=>[3,2,1]=>[2,1]=>0
[6,3,4,5,2,1]=>[6,3,4,5,2,1]=>[3,1,1,1]=>[1,1,1]=>0
[6,3,5,1,2,4]=>[6,3,5,1,2,4]=>[3,2,1]=>[2,1]=>0
[6,3,5,1,4,2]=>[6,3,5,1,4,2]=>[2,2,1,1]=>[2,1,1]=>0
[6,3,5,2,1,4]=>[6,3,5,2,1,4]=>[2,2,1,1]=>[2,1,1]=>0
[6,3,5,2,4,1]=>[6,3,5,2,4,1]=>[2,2,1,1]=>[2,1,1]=>0
[6,3,5,+,1,2]=>[6,3,5,4,1,2]=>[2,2,1,1]=>[2,1,1]=>0
[6,3,5,-,1,2]=>[6,3,5,4,1,2]=>[2,2,1,1]=>[2,1,1]=>0
[6,3,5,+,2,1]=>[6,3,5,4,2,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[6,3,5,-,2,1]=>[6,3,5,4,2,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[6,4,1,2,+,3]=>[6,4,1,2,5,3]=>[3,2,1]=>[2,1]=>0
[6,4,1,2,-,3]=>[6,4,1,2,5,3]=>[3,2,1]=>[2,1]=>0
[6,4,1,3,2,5]=>[6,4,1,3,2,5]=>[3,1,1,1]=>[1,1,1]=>0
[6,4,1,3,+,2]=>[6,4,1,3,5,2]=>[3,1,1,1]=>[1,1,1]=>0
[6,4,1,3,-,2]=>[6,4,1,3,5,2]=>[3,1,1,1]=>[1,1,1]=>0
[6,4,1,5,2,3]=>[6,4,1,5,2,3]=>[3,2,1]=>[2,1]=>0
[6,4,1,5,3,2]=>[6,4,1,5,3,2]=>[2,2,1,1]=>[2,1,1]=>0
[6,4,2,1,3,5]=>[6,4,2,1,3,5]=>[3,1,1,1]=>[1,1,1]=>0
[6,4,2,1,+,3]=>[6,4,2,1,5,3]=>[2,2,1,1]=>[2,1,1]=>0
[6,4,2,1,-,3]=>[6,4,2,1,5,3]=>[2,2,1,1]=>[2,1,1]=>0
[6,4,2,3,1,5]=>[6,4,2,3,1,5]=>[3,1,1,1]=>[1,1,1]=>0
[6,4,2,3,+,1]=>[6,4,2,3,5,1]=>[3,1,1,1]=>[1,1,1]=>0
[6,4,2,3,-,1]=>[6,4,2,3,5,1]=>[3,1,1,1]=>[1,1,1]=>0
[6,4,2,5,1,3]=>[6,4,2,5,1,3]=>[2,2,1,1]=>[2,1,1]=>0
[6,4,2,5,3,1]=>[6,4,2,5,3,1]=>[2,2,1,1]=>[2,1,1]=>0
[6,4,+,1,2,5]=>[6,4,3,1,2,5]=>[3,1,1,1]=>[1,1,1]=>0
[6,4,-,1,2,5]=>[6,4,3,1,2,5]=>[3,1,1,1]=>[1,1,1]=>0
[6,4,+,1,+,2]=>[6,4,3,1,5,2]=>[2,2,1,1]=>[2,1,1]=>0
[6,4,-,1,+,2]=>[6,4,3,1,5,2]=>[2,2,1,1]=>[2,1,1]=>0
[6,4,+,1,-,2]=>[6,4,3,1,5,2]=>[2,2,1,1]=>[2,1,1]=>0
[6,4,-,1,-,2]=>[6,4,3,1,5,2]=>[2,2,1,1]=>[2,1,1]=>0
[6,4,+,2,1,5]=>[6,4,3,2,1,5]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[6,4,-,2,1,5]=>[6,4,3,2,1,5]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[6,4,+,2,+,1]=>[6,4,3,2,5,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[6,4,-,2,+,1]=>[6,4,3,2,5,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[6,4,+,2,-,1]=>[6,4,3,2,5,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[6,4,-,2,-,1]=>[6,4,3,2,5,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[6,4,+,5,1,2]=>[6,4,3,5,1,2]=>[2,2,1,1]=>[2,1,1]=>0
[6,4,-,5,1,2]=>[6,4,3,5,1,2]=>[2,2,1,1]=>[2,1,1]=>0
[6,4,+,5,2,1]=>[6,4,3,5,2,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[6,4,-,5,2,1]=>[6,4,3,5,2,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[6,4,5,1,2,3]=>[6,4,5,1,2,3]=>[3,2,1]=>[2,1]=>0
[6,4,5,1,3,2]=>[6,4,5,1,3,2]=>[2,2,1,1]=>[2,1,1]=>0
[6,4,5,2,1,3]=>[6,4,5,2,1,3]=>[2,2,1,1]=>[2,1,1]=>0
[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[2,2,1,1]=>[2,1,1]=>0
[6,4,5,3,1,2]=>[6,4,5,3,1,2]=>[2,2,1,1]=>[2,1,1]=>0
[6,4,5,3,2,1]=>[6,4,5,3,2,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[6,5,1,2,4,3]=>[6,5,1,2,4,3]=>[3,1,1,1]=>[1,1,1]=>0
[6,5,1,3,2,4]=>[6,5,1,3,2,4]=>[3,1,1,1]=>[1,1,1]=>0
[6,5,1,3,4,2]=>[6,5,1,3,4,2]=>[3,1,1,1]=>[1,1,1]=>0
[6,5,1,+,2,3]=>[6,5,1,4,2,3]=>[3,1,1,1]=>[1,1,1]=>0
[6,5,1,-,2,3]=>[6,5,1,4,2,3]=>[3,1,1,1]=>[1,1,1]=>0
[6,5,1,+,3,2]=>[6,5,1,4,3,2]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[6,5,1,-,3,2]=>[6,5,1,4,3,2]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[6,5,2,1,3,4]=>[6,5,2,1,3,4]=>[3,1,1,1]=>[1,1,1]=>0
[6,5,2,1,4,3]=>[6,5,2,1,4,3]=>[2,2,1,1]=>[2,1,1]=>0
[6,5,2,3,1,4]=>[6,5,2,3,1,4]=>[3,1,1,1]=>[1,1,1]=>0
[6,5,2,3,4,1]=>[6,5,2,3,4,1]=>[3,1,1,1]=>[1,1,1]=>0
[6,5,2,+,1,3]=>[6,5,2,4,1,3]=>[2,2,1,1]=>[2,1,1]=>0
[6,5,2,-,1,3]=>[6,5,2,4,1,3]=>[2,2,1,1]=>[2,1,1]=>0
[6,5,2,+,3,1]=>[6,5,2,4,3,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[6,5,2,-,3,1]=>[6,5,2,4,3,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[6,5,+,1,2,4]=>[6,5,3,1,2,4]=>[3,1,1,1]=>[1,1,1]=>0
[6,5,-,1,2,4]=>[6,5,3,1,2,4]=>[3,1,1,1]=>[1,1,1]=>0
[6,5,+,1,4,2]=>[6,5,3,1,4,2]=>[2,2,1,1]=>[2,1,1]=>0
[6,5,-,1,4,2]=>[6,5,3,1,4,2]=>[2,2,1,1]=>[2,1,1]=>0
[6,5,+,2,1,4]=>[6,5,3,2,1,4]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[6,5,-,2,1,4]=>[6,5,3,2,1,4]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[6,5,+,2,4,1]=>[6,5,3,2,4,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[6,5,-,2,4,1]=>[6,5,3,2,4,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[6,5,+,+,1,2]=>[6,5,3,4,1,2]=>[2,2,1,1]=>[2,1,1]=>0
[6,5,-,+,1,2]=>[6,5,3,4,1,2]=>[2,2,1,1]=>[2,1,1]=>0
[6,5,+,-,1,2]=>[6,5,3,4,1,2]=>[2,2,1,1]=>[2,1,1]=>0
[6,5,-,-,1,2]=>[6,5,3,4,1,2]=>[2,2,1,1]=>[2,1,1]=>0
[6,5,+,+,2,1]=>[6,5,3,4,2,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[6,5,-,+,2,1]=>[6,5,3,4,2,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[6,5,+,-,2,1]=>[6,5,3,4,2,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[6,5,-,-,2,1]=>[6,5,3,4,2,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[6,5,4,1,2,3]=>[6,5,4,1,2,3]=>[3,1,1,1]=>[1,1,1]=>0
[6,5,4,1,3,2]=>[6,5,4,1,3,2]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[6,5,4,2,1,3]=>[6,5,4,2,1,3]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[6,5,4,2,3,1]=>[6,5,4,2,3,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[6,5,4,3,1,2]=>[6,5,4,3,1,2]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[1,1,1,1,1,1]=>[1,1,1,1,1]=>1
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Description
The multiplicity of the irreducible representation corresponding to a partition in the relabelling action on polygons.
Equivalently, this is the multiplicity of the irreducible representation corresponding to a partition in the cycle index of the dihedral group.
This statistic is only defined for partitions of size at least 3, to avoid ambiguity.
Equivalently, this is the multiplicity of the irreducible representation corresponding to a partition in the cycle index of the dihedral group.
This statistic is only defined for partitions of size at least 3, to avoid ambiguity.
Map
permutation
Description
The underlying permutation of the decorated permutation.
Map
first row removal
Description
Removes the first entry of an integer partition
Map
Robinson-Schensted tableau shape
Description
Sends a permutation to its Robinson-Schensted tableau shape.
The Robinson-Schensted corrspondence is a bijection between permutations of length $n$ and pairs of standard Young tableaux of the same shape and of size $n$, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to the shape of its corresponding insertion and recording tableau.
The Robinson-Schensted corrspondence is a bijection between permutations of length $n$ and pairs of standard Young tableaux of the same shape and of size $n$, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to the shape of its corresponding insertion and recording tableau.
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