Identifier
-
Mp00253:
Decorated permutations
—permutation⟶
Permutations
Mp00060: Permutations —Robinson-Schensted tableau shape⟶ Integer partitions
Mp00202: Integer partitions —first row removal⟶ Integer partitions
St000566: Integer partitions ⟶ ℤ
Values
=>
Cc0002;cc-rep-2
Cc0002;cc-rep
[3,+,1]=>[3,2,1]=>[1,1,1]=>[1,1]=>0
[3,-,1]=>[3,2,1]=>[1,1,1]=>[1,1]=>0
[+,4,+,2]=>[1,4,3,2]=>[2,1,1]=>[1,1]=>0
[-,4,+,2]=>[1,4,3,2]=>[2,1,1]=>[1,1]=>0
[+,4,-,2]=>[1,4,3,2]=>[2,1,1]=>[1,1]=>0
[-,4,-,2]=>[1,4,3,2]=>[2,1,1]=>[1,1]=>0
[2,1,4,3]=>[2,1,4,3]=>[2,2]=>[2]=>1
[2,4,1,3]=>[2,4,1,3]=>[2,2]=>[2]=>1
[2,4,+,1]=>[2,4,3,1]=>[2,1,1]=>[1,1]=>0
[2,4,-,1]=>[2,4,3,1]=>[2,1,1]=>[1,1]=>0
[3,1,4,2]=>[3,1,4,2]=>[2,2]=>[2]=>1
[3,+,1,+]=>[3,2,1,4]=>[2,1,1]=>[1,1]=>0
[3,-,1,+]=>[3,2,1,4]=>[2,1,1]=>[1,1]=>0
[3,+,1,-]=>[3,2,1,4]=>[2,1,1]=>[1,1]=>0
[3,-,1,-]=>[3,2,1,4]=>[2,1,1]=>[1,1]=>0
[3,+,4,1]=>[3,2,4,1]=>[2,1,1]=>[1,1]=>0
[3,-,4,1]=>[3,2,4,1]=>[2,1,1]=>[1,1]=>0
[3,4,1,2]=>[3,4,1,2]=>[2,2]=>[2]=>1
[3,4,2,1]=>[3,4,2,1]=>[2,1,1]=>[1,1]=>0
[4,1,+,2]=>[4,1,3,2]=>[2,1,1]=>[1,1]=>0
[4,1,-,2]=>[4,1,3,2]=>[2,1,1]=>[1,1]=>0
[4,+,1,3]=>[4,2,1,3]=>[2,1,1]=>[1,1]=>0
[4,-,1,3]=>[4,2,1,3]=>[2,1,1]=>[1,1]=>0
[4,+,+,1]=>[4,2,3,1]=>[2,1,1]=>[1,1]=>0
[4,-,+,1]=>[4,2,3,1]=>[2,1,1]=>[1,1]=>0
[4,+,-,1]=>[4,2,3,1]=>[2,1,1]=>[1,1]=>0
[4,-,-,1]=>[4,2,3,1]=>[2,1,1]=>[1,1]=>0
[4,3,1,2]=>[4,3,1,2]=>[2,1,1]=>[1,1]=>0
[4,3,2,1]=>[4,3,2,1]=>[1,1,1,1]=>[1,1,1]=>0
[+,+,5,+,3]=>[1,2,5,4,3]=>[3,1,1]=>[1,1]=>0
[-,+,5,+,3]=>[1,2,5,4,3]=>[3,1,1]=>[1,1]=>0
[+,-,5,+,3]=>[1,2,5,4,3]=>[3,1,1]=>[1,1]=>0
[+,+,5,-,3]=>[1,2,5,4,3]=>[3,1,1]=>[1,1]=>0
[-,-,5,+,3]=>[1,2,5,4,3]=>[3,1,1]=>[1,1]=>0
[-,+,5,-,3]=>[1,2,5,4,3]=>[3,1,1]=>[1,1]=>0
[+,-,5,-,3]=>[1,2,5,4,3]=>[3,1,1]=>[1,1]=>0
[-,-,5,-,3]=>[1,2,5,4,3]=>[3,1,1]=>[1,1]=>0
[+,3,2,5,4]=>[1,3,2,5,4]=>[3,2]=>[2]=>1
[-,3,2,5,4]=>[1,3,2,5,4]=>[3,2]=>[2]=>1
[+,3,5,2,4]=>[1,3,5,2,4]=>[3,2]=>[2]=>1
[-,3,5,2,4]=>[1,3,5,2,4]=>[3,2]=>[2]=>1
[+,3,5,+,2]=>[1,3,5,4,2]=>[3,1,1]=>[1,1]=>0
[-,3,5,+,2]=>[1,3,5,4,2]=>[3,1,1]=>[1,1]=>0
[+,3,5,-,2]=>[1,3,5,4,2]=>[3,1,1]=>[1,1]=>0
[-,3,5,-,2]=>[1,3,5,4,2]=>[3,1,1]=>[1,1]=>0
[+,4,2,5,3]=>[1,4,2,5,3]=>[3,2]=>[2]=>1
[-,4,2,5,3]=>[1,4,2,5,3]=>[3,2]=>[2]=>1
[+,4,+,2,+]=>[1,4,3,2,5]=>[3,1,1]=>[1,1]=>0
[-,4,+,2,+]=>[1,4,3,2,5]=>[3,1,1]=>[1,1]=>0
[+,4,-,2,+]=>[1,4,3,2,5]=>[3,1,1]=>[1,1]=>0
[+,4,+,2,-]=>[1,4,3,2,5]=>[3,1,1]=>[1,1]=>0
[-,4,-,2,+]=>[1,4,3,2,5]=>[3,1,1]=>[1,1]=>0
[-,4,+,2,-]=>[1,4,3,2,5]=>[3,1,1]=>[1,1]=>0
[+,4,-,2,-]=>[1,4,3,2,5]=>[3,1,1]=>[1,1]=>0
[-,4,-,2,-]=>[1,4,3,2,5]=>[3,1,1]=>[1,1]=>0
[+,4,+,5,2]=>[1,4,3,5,2]=>[3,1,1]=>[1,1]=>0
[-,4,+,5,2]=>[1,4,3,5,2]=>[3,1,1]=>[1,1]=>0
[+,4,-,5,2]=>[1,4,3,5,2]=>[3,1,1]=>[1,1]=>0
[-,4,-,5,2]=>[1,4,3,5,2]=>[3,1,1]=>[1,1]=>0
[+,4,5,2,3]=>[1,4,5,2,3]=>[3,2]=>[2]=>1
[-,4,5,2,3]=>[1,4,5,2,3]=>[3,2]=>[2]=>1
[+,4,5,3,2]=>[1,4,5,3,2]=>[3,1,1]=>[1,1]=>0
[-,4,5,3,2]=>[1,4,5,3,2]=>[3,1,1]=>[1,1]=>0
[+,5,2,+,3]=>[1,5,2,4,3]=>[3,1,1]=>[1,1]=>0
[-,5,2,+,3]=>[1,5,2,4,3]=>[3,1,1]=>[1,1]=>0
[+,5,2,-,3]=>[1,5,2,4,3]=>[3,1,1]=>[1,1]=>0
[-,5,2,-,3]=>[1,5,2,4,3]=>[3,1,1]=>[1,1]=>0
[+,5,+,2,4]=>[1,5,3,2,4]=>[3,1,1]=>[1,1]=>0
[-,5,+,2,4]=>[1,5,3,2,4]=>[3,1,1]=>[1,1]=>0
[+,5,-,2,4]=>[1,5,3,2,4]=>[3,1,1]=>[1,1]=>0
[-,5,-,2,4]=>[1,5,3,2,4]=>[3,1,1]=>[1,1]=>0
[+,5,+,+,2]=>[1,5,3,4,2]=>[3,1,1]=>[1,1]=>0
[-,5,+,+,2]=>[1,5,3,4,2]=>[3,1,1]=>[1,1]=>0
[+,5,-,+,2]=>[1,5,3,4,2]=>[3,1,1]=>[1,1]=>0
[+,5,+,-,2]=>[1,5,3,4,2]=>[3,1,1]=>[1,1]=>0
[-,5,-,+,2]=>[1,5,3,4,2]=>[3,1,1]=>[1,1]=>0
[-,5,+,-,2]=>[1,5,3,4,2]=>[3,1,1]=>[1,1]=>0
[+,5,-,-,2]=>[1,5,3,4,2]=>[3,1,1]=>[1,1]=>0
[-,5,-,-,2]=>[1,5,3,4,2]=>[3,1,1]=>[1,1]=>0
[+,5,4,2,3]=>[1,5,4,2,3]=>[3,1,1]=>[1,1]=>0
[-,5,4,2,3]=>[1,5,4,2,3]=>[3,1,1]=>[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,+,5,4]=>[2,1,3,5,4]=>[3,2]=>[2]=>1
[2,1,-,5,4]=>[2,1,3,5,4]=>[3,2]=>[2]=>1
[2,1,4,3,+]=>[2,1,4,3,5]=>[3,2]=>[2]=>1
[2,1,4,3,-]=>[2,1,4,3,5]=>[3,2]=>[2]=>1
[2,1,4,5,3]=>[2,1,4,5,3]=>[3,2]=>[2]=>1
[2,1,5,3,4]=>[2,1,5,3,4]=>[3,2]=>[2]=>1
[2,1,5,+,3]=>[2,1,5,4,3]=>[2,2,1]=>[2,1]=>1
[2,1,5,-,3]=>[2,1,5,4,3]=>[2,2,1]=>[2,1]=>1
[2,3,1,5,4]=>[2,3,1,5,4]=>[3,2]=>[2]=>1
[2,3,5,1,4]=>[2,3,5,1,4]=>[3,2]=>[2]=>1
[2,3,5,+,1]=>[2,3,5,4,1]=>[3,1,1]=>[1,1]=>0
[2,3,5,-,1]=>[2,3,5,4,1]=>[3,1,1]=>[1,1]=>0
[2,4,1,3,+]=>[2,4,1,3,5]=>[3,2]=>[2]=>1
[2,4,1,3,-]=>[2,4,1,3,5]=>[3,2]=>[2]=>1
[2,4,1,5,3]=>[2,4,1,5,3]=>[3,2]=>[2]=>1
[2,4,+,1,+]=>[2,4,3,1,5]=>[3,1,1]=>[1,1]=>0
[2,4,-,1,+]=>[2,4,3,1,5]=>[3,1,1]=>[1,1]=>0
[2,4,+,1,-]=>[2,4,3,1,5]=>[3,1,1]=>[1,1]=>0
[2,4,-,1,-]=>[2,4,3,1,5]=>[3,1,1]=>[1,1]=>0
[2,4,+,5,1]=>[2,4,3,5,1]=>[3,1,1]=>[1,1]=>0
[2,4,-,5,1]=>[2,4,3,5,1]=>[3,1,1]=>[1,1]=>0
[2,4,5,1,3]=>[2,4,5,1,3]=>[3,2]=>[2]=>1
[2,4,5,3,1]=>[2,4,5,3,1]=>[3,1,1]=>[1,1]=>0
[2,5,1,3,4]=>[2,5,1,3,4]=>[3,2]=>[2]=>1
[2,5,1,+,3]=>[2,5,1,4,3]=>[2,2,1]=>[2,1]=>1
[2,5,1,-,3]=>[2,5,1,4,3]=>[2,2,1]=>[2,1]=>1
[2,5,+,1,4]=>[2,5,3,1,4]=>[3,1,1]=>[1,1]=>0
[2,5,-,1,4]=>[2,5,3,1,4]=>[3,1,1]=>[1,1]=>0
[2,5,+,+,1]=>[2,5,3,4,1]=>[3,1,1]=>[1,1]=>0
[2,5,-,+,1]=>[2,5,3,4,1]=>[3,1,1]=>[1,1]=>0
[2,5,+,-,1]=>[2,5,3,4,1]=>[3,1,1]=>[1,1]=>0
[2,5,-,-,1]=>[2,5,3,4,1]=>[3,1,1]=>[1,1]=>0
[2,5,4,1,3]=>[2,5,4,1,3]=>[2,2,1]=>[2,1]=>1
[2,5,4,3,1]=>[2,5,4,3,1]=>[2,1,1,1]=>[1,1,1]=>0
[3,1,2,5,4]=>[3,1,2,5,4]=>[3,2]=>[2]=>1
[3,1,4,2,+]=>[3,1,4,2,5]=>[3,2]=>[2]=>1
[3,1,4,2,-]=>[3,1,4,2,5]=>[3,2]=>[2]=>1
[3,1,4,5,2]=>[3,1,4,5,2]=>[3,2]=>[2]=>1
[3,1,5,2,4]=>[3,1,5,2,4]=>[3,2]=>[2]=>1
[3,1,5,+,2]=>[3,1,5,4,2]=>[2,2,1]=>[2,1]=>1
[3,1,5,-,2]=>[3,1,5,4,2]=>[2,2,1]=>[2,1]=>1
[3,+,1,+,+]=>[3,2,1,4,5]=>[3,1,1]=>[1,1]=>0
[3,-,1,+,+]=>[3,2,1,4,5]=>[3,1,1]=>[1,1]=>0
[3,+,1,-,+]=>[3,2,1,4,5]=>[3,1,1]=>[1,1]=>0
[3,+,1,+,-]=>[3,2,1,4,5]=>[3,1,1]=>[1,1]=>0
[3,-,1,-,+]=>[3,2,1,4,5]=>[3,1,1]=>[1,1]=>0
[3,-,1,+,-]=>[3,2,1,4,5]=>[3,1,1]=>[1,1]=>0
[3,+,1,-,-]=>[3,2,1,4,5]=>[3,1,1]=>[1,1]=>0
[3,-,1,-,-]=>[3,2,1,4,5]=>[3,1,1]=>[1,1]=>0
[3,+,1,5,4]=>[3,2,1,5,4]=>[2,2,1]=>[2,1]=>1
[3,-,1,5,4]=>[3,2,1,5,4]=>[2,2,1]=>[2,1]=>1
[3,+,4,1,+]=>[3,2,4,1,5]=>[3,1,1]=>[1,1]=>0
[3,-,4,1,+]=>[3,2,4,1,5]=>[3,1,1]=>[1,1]=>0
[3,+,4,1,-]=>[3,2,4,1,5]=>[3,1,1]=>[1,1]=>0
[3,-,4,1,-]=>[3,2,4,1,5]=>[3,1,1]=>[1,1]=>0
[3,+,4,5,1]=>[3,2,4,5,1]=>[3,1,1]=>[1,1]=>0
[3,-,4,5,1]=>[3,2,4,5,1]=>[3,1,1]=>[1,1]=>0
[3,+,5,1,4]=>[3,2,5,1,4]=>[2,2,1]=>[2,1]=>1
[3,-,5,1,4]=>[3,2,5,1,4]=>[2,2,1]=>[2,1]=>1
[3,+,5,+,1]=>[3,2,5,4,1]=>[2,2,1]=>[2,1]=>1
[3,-,5,+,1]=>[3,2,5,4,1]=>[2,2,1]=>[2,1]=>1
[3,+,5,-,1]=>[3,2,5,4,1]=>[2,2,1]=>[2,1]=>1
[3,-,5,-,1]=>[3,2,5,4,1]=>[2,2,1]=>[2,1]=>1
[3,4,1,2,+]=>[3,4,1,2,5]=>[3,2]=>[2]=>1
[3,4,1,2,-]=>[3,4,1,2,5]=>[3,2]=>[2]=>1
[3,4,1,5,2]=>[3,4,1,5,2]=>[3,2]=>[2]=>1
[3,4,2,1,+]=>[3,4,2,1,5]=>[3,1,1]=>[1,1]=>0
[3,4,2,1,-]=>[3,4,2,1,5]=>[3,1,1]=>[1,1]=>0
[3,4,2,5,1]=>[3,4,2,5,1]=>[3,1,1]=>[1,1]=>0
[3,4,5,1,2]=>[3,4,5,1,2]=>[3,2]=>[2]=>1
[3,4,5,2,1]=>[3,4,5,2,1]=>[3,1,1]=>[1,1]=>0
[3,5,1,2,4]=>[3,5,1,2,4]=>[3,2]=>[2]=>1
[3,5,1,+,2]=>[3,5,1,4,2]=>[2,2,1]=>[2,1]=>1
[3,5,1,-,2]=>[3,5,1,4,2]=>[2,2,1]=>[2,1]=>1
[3,5,2,1,4]=>[3,5,2,1,4]=>[2,2,1]=>[2,1]=>1
[3,5,2,+,1]=>[3,5,2,4,1]=>[2,2,1]=>[2,1]=>1
[3,5,2,-,1]=>[3,5,2,4,1]=>[2,2,1]=>[2,1]=>1
[3,5,4,1,2]=>[3,5,4,1,2]=>[2,2,1]=>[2,1]=>1
[3,5,4,2,1]=>[3,5,4,2,1]=>[2,1,1,1]=>[1,1,1]=>0
[4,1,2,5,3]=>[4,1,2,5,3]=>[3,2]=>[2]=>1
[4,1,+,2,+]=>[4,1,3,2,5]=>[3,1,1]=>[1,1]=>0
[4,1,-,2,+]=>[4,1,3,2,5]=>[3,1,1]=>[1,1]=>0
[4,1,+,2,-]=>[4,1,3,2,5]=>[3,1,1]=>[1,1]=>0
[4,1,-,2,-]=>[4,1,3,2,5]=>[3,1,1]=>[1,1]=>0
[4,1,+,5,2]=>[4,1,3,5,2]=>[3,1,1]=>[1,1]=>0
[4,1,-,5,2]=>[4,1,3,5,2]=>[3,1,1]=>[1,1]=>0
[4,1,5,2,3]=>[4,1,5,2,3]=>[3,2]=>[2]=>1
[4,1,5,3,2]=>[4,1,5,3,2]=>[2,2,1]=>[2,1]=>1
[4,+,1,3,+]=>[4,2,1,3,5]=>[3,1,1]=>[1,1]=>0
[4,-,1,3,+]=>[4,2,1,3,5]=>[3,1,1]=>[1,1]=>0
[4,+,1,3,-]=>[4,2,1,3,5]=>[3,1,1]=>[1,1]=>0
[4,-,1,3,-]=>[4,2,1,3,5]=>[3,1,1]=>[1,1]=>0
[4,+,1,5,3]=>[4,2,1,5,3]=>[2,2,1]=>[2,1]=>1
[4,-,1,5,3]=>[4,2,1,5,3]=>[2,2,1]=>[2,1]=>1
[4,+,+,1,+]=>[4,2,3,1,5]=>[3,1,1]=>[1,1]=>0
[4,-,+,1,+]=>[4,2,3,1,5]=>[3,1,1]=>[1,1]=>0
[4,+,-,1,+]=>[4,2,3,1,5]=>[3,1,1]=>[1,1]=>0
[4,+,+,1,-]=>[4,2,3,1,5]=>[3,1,1]=>[1,1]=>0
[4,-,-,1,+]=>[4,2,3,1,5]=>[3,1,1]=>[1,1]=>0
[4,-,+,1,-]=>[4,2,3,1,5]=>[3,1,1]=>[1,1]=>0
[4,+,-,1,-]=>[4,2,3,1,5]=>[3,1,1]=>[1,1]=>0
[4,-,-,1,-]=>[4,2,3,1,5]=>[3,1,1]=>[1,1]=>0
[4,+,+,5,1]=>[4,2,3,5,1]=>[3,1,1]=>[1,1]=>0
[4,-,+,5,1]=>[4,2,3,5,1]=>[3,1,1]=>[1,1]=>0
[4,+,-,5,1]=>[4,2,3,5,1]=>[3,1,1]=>[1,1]=>0
[4,-,-,5,1]=>[4,2,3,5,1]=>[3,1,1]=>[1,1]=>0
[4,+,5,1,3]=>[4,2,5,1,3]=>[2,2,1]=>[2,1]=>1
[4,-,5,1,3]=>[4,2,5,1,3]=>[2,2,1]=>[2,1]=>1
[4,+,5,3,1]=>[4,2,5,3,1]=>[2,2,1]=>[2,1]=>1
[4,-,5,3,1]=>[4,2,5,3,1]=>[2,2,1]=>[2,1]=>1
[4,3,1,2,+]=>[4,3,1,2,5]=>[3,1,1]=>[1,1]=>0
[4,3,1,2,-]=>[4,3,1,2,5]=>[3,1,1]=>[1,1]=>0
[4,3,1,5,2]=>[4,3,1,5,2]=>[2,2,1]=>[2,1]=>1
[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]=>1
[4,3,5,2,1]=>[4,3,5,2,1]=>[2,1,1,1]=>[1,1,1]=>0
[4,5,1,2,3]=>[4,5,1,2,3]=>[3,2]=>[2]=>1
[4,5,1,3,2]=>[4,5,1,3,2]=>[2,2,1]=>[2,1]=>1
[4,5,2,1,3]=>[4,5,2,1,3]=>[2,2,1]=>[2,1]=>1
[4,5,2,3,1]=>[4,5,2,3,1]=>[2,2,1]=>[2,1]=>1
[4,5,+,1,2]=>[4,5,3,1,2]=>[2,2,1]=>[2,1]=>1
[4,5,-,1,2]=>[4,5,3,1,2]=>[2,2,1]=>[2,1]=>1
[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
[5,1,2,+,3]=>[5,1,2,4,3]=>[3,1,1]=>[1,1]=>0
[5,1,2,-,3]=>[5,1,2,4,3]=>[3,1,1]=>[1,1]=>0
[5,1,+,2,4]=>[5,1,3,2,4]=>[3,1,1]=>[1,1]=>0
[5,1,-,2,4]=>[5,1,3,2,4]=>[3,1,1]=>[1,1]=>0
[5,1,+,+,2]=>[5,1,3,4,2]=>[3,1,1]=>[1,1]=>0
[5,1,-,+,2]=>[5,1,3,4,2]=>[3,1,1]=>[1,1]=>0
[5,1,+,-,2]=>[5,1,3,4,2]=>[3,1,1]=>[1,1]=>0
[5,1,-,-,2]=>[5,1,3,4,2]=>[3,1,1]=>[1,1]=>0
[5,1,4,2,3]=>[5,1,4,2,3]=>[3,1,1]=>[1,1]=>0
[5,1,4,3,2]=>[5,1,4,3,2]=>[2,1,1,1]=>[1,1,1]=>0
[5,+,1,3,4]=>[5,2,1,3,4]=>[3,1,1]=>[1,1]=>0
[5,-,1,3,4]=>[5,2,1,3,4]=>[3,1,1]=>[1,1]=>0
[5,+,1,+,3]=>[5,2,1,4,3]=>[2,2,1]=>[2,1]=>1
[5,-,1,+,3]=>[5,2,1,4,3]=>[2,2,1]=>[2,1]=>1
[5,+,1,-,3]=>[5,2,1,4,3]=>[2,2,1]=>[2,1]=>1
[5,-,1,-,3]=>[5,2,1,4,3]=>[2,2,1]=>[2,1]=>1
[5,+,+,1,4]=>[5,2,3,1,4]=>[3,1,1]=>[1,1]=>0
[5,-,+,1,4]=>[5,2,3,1,4]=>[3,1,1]=>[1,1]=>0
[5,+,-,1,4]=>[5,2,3,1,4]=>[3,1,1]=>[1,1]=>0
[5,-,-,1,4]=>[5,2,3,1,4]=>[3,1,1]=>[1,1]=>0
[5,+,+,+,1]=>[5,2,3,4,1]=>[3,1,1]=>[1,1]=>0
[5,-,+,+,1]=>[5,2,3,4,1]=>[3,1,1]=>[1,1]=>0
[5,+,-,+,1]=>[5,2,3,4,1]=>[3,1,1]=>[1,1]=>0
[5,+,+,-,1]=>[5,2,3,4,1]=>[3,1,1]=>[1,1]=>0
[5,-,-,+,1]=>[5,2,3,4,1]=>[3,1,1]=>[1,1]=>0
[5,-,+,-,1]=>[5,2,3,4,1]=>[3,1,1]=>[1,1]=>0
[5,+,-,-,1]=>[5,2,3,4,1]=>[3,1,1]=>[1,1]=>0
[5,-,-,-,1]=>[5,2,3,4,1]=>[3,1,1]=>[1,1]=>0
[5,+,4,1,3]=>[5,2,4,1,3]=>[2,2,1]=>[2,1]=>1
[5,-,4,1,3]=>[5,2,4,1,3]=>[2,2,1]=>[2,1]=>1
[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
[5,3,1,2,4]=>[5,3,1,2,4]=>[3,1,1]=>[1,1]=>0
[5,3,1,+,2]=>[5,3,1,4,2]=>[2,2,1]=>[2,1]=>1
[5,3,1,-,2]=>[5,3,1,4,2]=>[2,2,1]=>[2,1]=>1
[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]=>1
[5,3,4,2,1]=>[5,3,4,2,1]=>[2,1,1,1]=>[1,1,1]=>0
[5,4,1,2,3]=>[5,4,1,2,3]=>[3,1,1]=>[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,+,4]=>[1,2,3,6,5,4]=>[4,1,1]=>[1,1]=>0
[-,+,+,6,+,4]=>[1,2,3,6,5,4]=>[4,1,1]=>[1,1]=>0
[+,-,+,6,+,4]=>[1,2,3,6,5,4]=>[4,1,1]=>[1,1]=>0
[+,+,-,6,+,4]=>[1,2,3,6,5,4]=>[4,1,1]=>[1,1]=>0
[+,+,+,6,-,4]=>[1,2,3,6,5,4]=>[4,1,1]=>[1,1]=>0
[-,-,+,6,+,4]=>[1,2,3,6,5,4]=>[4,1,1]=>[1,1]=>0
[-,+,-,6,+,4]=>[1,2,3,6,5,4]=>[4,1,1]=>[1,1]=>0
[-,+,+,6,-,4]=>[1,2,3,6,5,4]=>[4,1,1]=>[1,1]=>0
[+,-,-,6,+,4]=>[1,2,3,6,5,4]=>[4,1,1]=>[1,1]=>0
[+,-,+,6,-,4]=>[1,2,3,6,5,4]=>[4,1,1]=>[1,1]=>0
[+,+,-,6,-,4]=>[1,2,3,6,5,4]=>[4,1,1]=>[1,1]=>0
[-,-,-,6,+,4]=>[1,2,3,6,5,4]=>[4,1,1]=>[1,1]=>0
[-,-,+,6,-,4]=>[1,2,3,6,5,4]=>[4,1,1]=>[1,1]=>0
[-,+,-,6,-,4]=>[1,2,3,6,5,4]=>[4,1,1]=>[1,1]=>0
[+,-,-,6,-,4]=>[1,2,3,6,5,4]=>[4,1,1]=>[1,1]=>0
[-,-,-,6,-,4]=>[1,2,3,6,5,4]=>[4,1,1]=>[1,1]=>0
[+,+,4,3,6,5]=>[1,2,4,3,6,5]=>[4,2]=>[2]=>1
[-,+,4,3,6,5]=>[1,2,4,3,6,5]=>[4,2]=>[2]=>1
[+,-,4,3,6,5]=>[1,2,4,3,6,5]=>[4,2]=>[2]=>1
[-,-,4,3,6,5]=>[1,2,4,3,6,5]=>[4,2]=>[2]=>1
[+,+,4,6,3,5]=>[1,2,4,6,3,5]=>[4,2]=>[2]=>1
[-,+,4,6,3,5]=>[1,2,4,6,3,5]=>[4,2]=>[2]=>1
[+,-,4,6,3,5]=>[1,2,4,6,3,5]=>[4,2]=>[2]=>1
[-,-,4,6,3,5]=>[1,2,4,6,3,5]=>[4,2]=>[2]=>1
[+,+,4,6,+,3]=>[1,2,4,6,5,3]=>[4,1,1]=>[1,1]=>0
[-,+,4,6,+,3]=>[1,2,4,6,5,3]=>[4,1,1]=>[1,1]=>0
[+,-,4,6,+,3]=>[1,2,4,6,5,3]=>[4,1,1]=>[1,1]=>0
[+,+,4,6,-,3]=>[1,2,4,6,5,3]=>[4,1,1]=>[1,1]=>0
[-,-,4,6,+,3]=>[1,2,4,6,5,3]=>[4,1,1]=>[1,1]=>0
[-,+,4,6,-,3]=>[1,2,4,6,5,3]=>[4,1,1]=>[1,1]=>0
[+,-,4,6,-,3]=>[1,2,4,6,5,3]=>[4,1,1]=>[1,1]=>0
[-,-,4,6,-,3]=>[1,2,4,6,5,3]=>[4,1,1]=>[1,1]=>0
[+,+,5,3,6,4]=>[1,2,5,3,6,4]=>[4,2]=>[2]=>1
[-,+,5,3,6,4]=>[1,2,5,3,6,4]=>[4,2]=>[2]=>1
[+,-,5,3,6,4]=>[1,2,5,3,6,4]=>[4,2]=>[2]=>1
[-,-,5,3,6,4]=>[1,2,5,3,6,4]=>[4,2]=>[2]=>1
[+,+,5,+,3,+]=>[1,2,5,4,3,6]=>[4,1,1]=>[1,1]=>0
[-,+,5,+,3,+]=>[1,2,5,4,3,6]=>[4,1,1]=>[1,1]=>0
[+,-,5,+,3,+]=>[1,2,5,4,3,6]=>[4,1,1]=>[1,1]=>0
[+,+,5,-,3,+]=>[1,2,5,4,3,6]=>[4,1,1]=>[1,1]=>0
[+,+,5,+,3,-]=>[1,2,5,4,3,6]=>[4,1,1]=>[1,1]=>0
[-,-,5,+,3,+]=>[1,2,5,4,3,6]=>[4,1,1]=>[1,1]=>0
[-,+,5,-,3,+]=>[1,2,5,4,3,6]=>[4,1,1]=>[1,1]=>0
[-,+,5,+,3,-]=>[1,2,5,4,3,6]=>[4,1,1]=>[1,1]=>0
[+,-,5,-,3,+]=>[1,2,5,4,3,6]=>[4,1,1]=>[1,1]=>0
[+,-,5,+,3,-]=>[1,2,5,4,3,6]=>[4,1,1]=>[1,1]=>0
[+,+,5,-,3,-]=>[1,2,5,4,3,6]=>[4,1,1]=>[1,1]=>0
[-,-,5,-,3,+]=>[1,2,5,4,3,6]=>[4,1,1]=>[1,1]=>0
[-,-,5,+,3,-]=>[1,2,5,4,3,6]=>[4,1,1]=>[1,1]=>0
[-,+,5,-,3,-]=>[1,2,5,4,3,6]=>[4,1,1]=>[1,1]=>0
[+,-,5,-,3,-]=>[1,2,5,4,3,6]=>[4,1,1]=>[1,1]=>0
[-,-,5,-,3,-]=>[1,2,5,4,3,6]=>[4,1,1]=>[1,1]=>0
[+,+,5,+,6,3]=>[1,2,5,4,6,3]=>[4,1,1]=>[1,1]=>0
[-,+,5,+,6,3]=>[1,2,5,4,6,3]=>[4,1,1]=>[1,1]=>0
[+,-,5,+,6,3]=>[1,2,5,4,6,3]=>[4,1,1]=>[1,1]=>0
[+,+,5,-,6,3]=>[1,2,5,4,6,3]=>[4,1,1]=>[1,1]=>0
[-,-,5,+,6,3]=>[1,2,5,4,6,3]=>[4,1,1]=>[1,1]=>0
[-,+,5,-,6,3]=>[1,2,5,4,6,3]=>[4,1,1]=>[1,1]=>0
[+,-,5,-,6,3]=>[1,2,5,4,6,3]=>[4,1,1]=>[1,1]=>0
[-,-,5,-,6,3]=>[1,2,5,4,6,3]=>[4,1,1]=>[1,1]=>0
[+,+,5,6,3,4]=>[1,2,5,6,3,4]=>[4,2]=>[2]=>1
[-,+,5,6,3,4]=>[1,2,5,6,3,4]=>[4,2]=>[2]=>1
[+,-,5,6,3,4]=>[1,2,5,6,3,4]=>[4,2]=>[2]=>1
[-,-,5,6,3,4]=>[1,2,5,6,3,4]=>[4,2]=>[2]=>1
[+,+,5,6,4,3]=>[1,2,5,6,4,3]=>[4,1,1]=>[1,1]=>0
[-,+,5,6,4,3]=>[1,2,5,6,4,3]=>[4,1,1]=>[1,1]=>0
[+,-,5,6,4,3]=>[1,2,5,6,4,3]=>[4,1,1]=>[1,1]=>0
[-,-,5,6,4,3]=>[1,2,5,6,4,3]=>[4,1,1]=>[1,1]=>0
[+,+,6,3,+,4]=>[1,2,6,3,5,4]=>[4,1,1]=>[1,1]=>0
[-,+,6,3,+,4]=>[1,2,6,3,5,4]=>[4,1,1]=>[1,1]=>0
[+,-,6,3,+,4]=>[1,2,6,3,5,4]=>[4,1,1]=>[1,1]=>0
[+,+,6,3,-,4]=>[1,2,6,3,5,4]=>[4,1,1]=>[1,1]=>0
[-,-,6,3,+,4]=>[1,2,6,3,5,4]=>[4,1,1]=>[1,1]=>0
[-,+,6,3,-,4]=>[1,2,6,3,5,4]=>[4,1,1]=>[1,1]=>0
[+,-,6,3,-,4]=>[1,2,6,3,5,4]=>[4,1,1]=>[1,1]=>0
[-,-,6,3,-,4]=>[1,2,6,3,5,4]=>[4,1,1]=>[1,1]=>0
[+,+,6,+,3,5]=>[1,2,6,4,3,5]=>[4,1,1]=>[1,1]=>0
[-,+,6,+,3,5]=>[1,2,6,4,3,5]=>[4,1,1]=>[1,1]=>0
[+,-,6,+,3,5]=>[1,2,6,4,3,5]=>[4,1,1]=>[1,1]=>0
[+,+,6,-,3,5]=>[1,2,6,4,3,5]=>[4,1,1]=>[1,1]=>0
[-,-,6,+,3,5]=>[1,2,6,4,3,5]=>[4,1,1]=>[1,1]=>0
[-,+,6,-,3,5]=>[1,2,6,4,3,5]=>[4,1,1]=>[1,1]=>0
[+,-,6,-,3,5]=>[1,2,6,4,3,5]=>[4,1,1]=>[1,1]=>0
[-,-,6,-,3,5]=>[1,2,6,4,3,5]=>[4,1,1]=>[1,1]=>0
[+,+,6,+,+,3]=>[1,2,6,4,5,3]=>[4,1,1]=>[1,1]=>0
[-,+,6,+,+,3]=>[1,2,6,4,5,3]=>[4,1,1]=>[1,1]=>0
[+,-,6,+,+,3]=>[1,2,6,4,5,3]=>[4,1,1]=>[1,1]=>0
[+,+,6,-,+,3]=>[1,2,6,4,5,3]=>[4,1,1]=>[1,1]=>0
[+,+,6,+,-,3]=>[1,2,6,4,5,3]=>[4,1,1]=>[1,1]=>0
[-,-,6,+,+,3]=>[1,2,6,4,5,3]=>[4,1,1]=>[1,1]=>0
[-,+,6,-,+,3]=>[1,2,6,4,5,3]=>[4,1,1]=>[1,1]=>0
[-,+,6,+,-,3]=>[1,2,6,4,5,3]=>[4,1,1]=>[1,1]=>0
[+,-,6,-,+,3]=>[1,2,6,4,5,3]=>[4,1,1]=>[1,1]=>0
[+,-,6,+,-,3]=>[1,2,6,4,5,3]=>[4,1,1]=>[1,1]=>0
[+,+,6,-,-,3]=>[1,2,6,4,5,3]=>[4,1,1]=>[1,1]=>0
[-,-,6,-,+,3]=>[1,2,6,4,5,3]=>[4,1,1]=>[1,1]=>0
[-,-,6,+,-,3]=>[1,2,6,4,5,3]=>[4,1,1]=>[1,1]=>0
[-,+,6,-,-,3]=>[1,2,6,4,5,3]=>[4,1,1]=>[1,1]=>0
[+,-,6,-,-,3]=>[1,2,6,4,5,3]=>[4,1,1]=>[1,1]=>0
[-,-,6,-,-,3]=>[1,2,6,4,5,3]=>[4,1,1]=>[1,1]=>0
[+,+,6,5,3,4]=>[1,2,6,5,3,4]=>[4,1,1]=>[1,1]=>0
[-,+,6,5,3,4]=>[1,2,6,5,3,4]=>[4,1,1]=>[1,1]=>0
[+,-,6,5,3,4]=>[1,2,6,5,3,4]=>[4,1,1]=>[1,1]=>0
[-,-,6,5,3,4]=>[1,2,6,5,3,4]=>[4,1,1]=>[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,+,6,5]=>[1,3,2,4,6,5]=>[4,2]=>[2]=>1
[-,3,2,+,6,5]=>[1,3,2,4,6,5]=>[4,2]=>[2]=>1
[+,3,2,-,6,5]=>[1,3,2,4,6,5]=>[4,2]=>[2]=>1
[-,3,2,-,6,5]=>[1,3,2,4,6,5]=>[4,2]=>[2]=>1
[+,3,2,5,4,+]=>[1,3,2,5,4,6]=>[4,2]=>[2]=>1
[-,3,2,5,4,+]=>[1,3,2,5,4,6]=>[4,2]=>[2]=>1
[+,3,2,5,4,-]=>[1,3,2,5,4,6]=>[4,2]=>[2]=>1
[-,3,2,5,4,-]=>[1,3,2,5,4,6]=>[4,2]=>[2]=>1
[+,3,2,5,6,4]=>[1,3,2,5,6,4]=>[4,2]=>[2]=>1
[-,3,2,5,6,4]=>[1,3,2,5,6,4]=>[4,2]=>[2]=>1
[+,3,2,6,4,5]=>[1,3,2,6,4,5]=>[4,2]=>[2]=>1
[-,3,2,6,4,5]=>[1,3,2,6,4,5]=>[4,2]=>[2]=>1
[+,3,2,6,+,4]=>[1,3,2,6,5,4]=>[3,2,1]=>[2,1]=>1
[-,3,2,6,+,4]=>[1,3,2,6,5,4]=>[3,2,1]=>[2,1]=>1
[+,3,2,6,-,4]=>[1,3,2,6,5,4]=>[3,2,1]=>[2,1]=>1
[-,3,2,6,-,4]=>[1,3,2,6,5,4]=>[3,2,1]=>[2,1]=>1
[+,3,4,2,6,5]=>[1,3,4,2,6,5]=>[4,2]=>[2]=>1
[-,3,4,2,6,5]=>[1,3,4,2,6,5]=>[4,2]=>[2]=>1
[+,3,4,6,2,5]=>[1,3,4,6,2,5]=>[4,2]=>[2]=>1
[-,3,4,6,2,5]=>[1,3,4,6,2,5]=>[4,2]=>[2]=>1
[+,3,4,6,+,2]=>[1,3,4,6,5,2]=>[4,1,1]=>[1,1]=>0
[-,3,4,6,+,2]=>[1,3,4,6,5,2]=>[4,1,1]=>[1,1]=>0
[+,3,4,6,-,2]=>[1,3,4,6,5,2]=>[4,1,1]=>[1,1]=>0
[-,3,4,6,-,2]=>[1,3,4,6,5,2]=>[4,1,1]=>[1,1]=>0
[+,3,5,2,4,+]=>[1,3,5,2,4,6]=>[4,2]=>[2]=>1
[-,3,5,2,4,+]=>[1,3,5,2,4,6]=>[4,2]=>[2]=>1
[+,3,5,2,4,-]=>[1,3,5,2,4,6]=>[4,2]=>[2]=>1
[-,3,5,2,4,-]=>[1,3,5,2,4,6]=>[4,2]=>[2]=>1
[+,3,5,2,6,4]=>[1,3,5,2,6,4]=>[4,2]=>[2]=>1
[-,3,5,2,6,4]=>[1,3,5,2,6,4]=>[4,2]=>[2]=>1
[+,3,5,+,2,+]=>[1,3,5,4,2,6]=>[4,1,1]=>[1,1]=>0
[-,3,5,+,2,+]=>[1,3,5,4,2,6]=>[4,1,1]=>[1,1]=>0
[+,3,5,-,2,+]=>[1,3,5,4,2,6]=>[4,1,1]=>[1,1]=>0
[+,3,5,+,2,-]=>[1,3,5,4,2,6]=>[4,1,1]=>[1,1]=>0
[-,3,5,-,2,+]=>[1,3,5,4,2,6]=>[4,1,1]=>[1,1]=>0
[-,3,5,+,2,-]=>[1,3,5,4,2,6]=>[4,1,1]=>[1,1]=>0
[+,3,5,-,2,-]=>[1,3,5,4,2,6]=>[4,1,1]=>[1,1]=>0
[-,3,5,-,2,-]=>[1,3,5,4,2,6]=>[4,1,1]=>[1,1]=>0
[+,3,5,+,6,2]=>[1,3,5,4,6,2]=>[4,1,1]=>[1,1]=>0
[-,3,5,+,6,2]=>[1,3,5,4,6,2]=>[4,1,1]=>[1,1]=>0
[+,3,5,-,6,2]=>[1,3,5,4,6,2]=>[4,1,1]=>[1,1]=>0
[-,3,5,-,6,2]=>[1,3,5,4,6,2]=>[4,1,1]=>[1,1]=>0
[+,3,5,6,2,4]=>[1,3,5,6,2,4]=>[4,2]=>[2]=>1
[-,3,5,6,2,4]=>[1,3,5,6,2,4]=>[4,2]=>[2]=>1
[+,3,5,6,4,2]=>[1,3,5,6,4,2]=>[4,1,1]=>[1,1]=>0
[-,3,5,6,4,2]=>[1,3,5,6,4,2]=>[4,1,1]=>[1,1]=>0
[+,3,6,2,4,5]=>[1,3,6,2,4,5]=>[4,2]=>[2]=>1
[-,3,6,2,4,5]=>[1,3,6,2,4,5]=>[4,2]=>[2]=>1
[+,3,6,2,+,4]=>[1,3,6,2,5,4]=>[3,2,1]=>[2,1]=>1
[-,3,6,2,+,4]=>[1,3,6,2,5,4]=>[3,2,1]=>[2,1]=>1
[+,3,6,2,-,4]=>[1,3,6,2,5,4]=>[3,2,1]=>[2,1]=>1
[-,3,6,2,-,4]=>[1,3,6,2,5,4]=>[3,2,1]=>[2,1]=>1
[+,3,6,+,2,5]=>[1,3,6,4,2,5]=>[4,1,1]=>[1,1]=>0
[-,3,6,+,2,5]=>[1,3,6,4,2,5]=>[4,1,1]=>[1,1]=>0
[+,3,6,-,2,5]=>[1,3,6,4,2,5]=>[4,1,1]=>[1,1]=>0
[-,3,6,-,2,5]=>[1,3,6,4,2,5]=>[4,1,1]=>[1,1]=>0
[+,3,6,+,+,2]=>[1,3,6,4,5,2]=>[4,1,1]=>[1,1]=>0
[-,3,6,+,+,2]=>[1,3,6,4,5,2]=>[4,1,1]=>[1,1]=>0
[+,3,6,-,+,2]=>[1,3,6,4,5,2]=>[4,1,1]=>[1,1]=>0
[+,3,6,+,-,2]=>[1,3,6,4,5,2]=>[4,1,1]=>[1,1]=>0
[-,3,6,-,+,2]=>[1,3,6,4,5,2]=>[4,1,1]=>[1,1]=>0
[-,3,6,+,-,2]=>[1,3,6,4,5,2]=>[4,1,1]=>[1,1]=>0
[+,3,6,-,-,2]=>[1,3,6,4,5,2]=>[4,1,1]=>[1,1]=>0
[-,3,6,-,-,2]=>[1,3,6,4,5,2]=>[4,1,1]=>[1,1]=>0
[+,3,6,5,2,4]=>[1,3,6,5,2,4]=>[3,2,1]=>[2,1]=>1
[-,3,6,5,2,4]=>[1,3,6,5,2,4]=>[3,2,1]=>[2,1]=>1
[+,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
[+,4,2,3,6,5]=>[1,4,2,3,6,5]=>[4,2]=>[2]=>1
[-,4,2,3,6,5]=>[1,4,2,3,6,5]=>[4,2]=>[2]=>1
[+,4,2,5,3,+]=>[1,4,2,5,3,6]=>[4,2]=>[2]=>1
[-,4,2,5,3,+]=>[1,4,2,5,3,6]=>[4,2]=>[2]=>1
[+,4,2,5,3,-]=>[1,4,2,5,3,6]=>[4,2]=>[2]=>1
[-,4,2,5,3,-]=>[1,4,2,5,3,6]=>[4,2]=>[2]=>1
[+,4,2,5,6,3]=>[1,4,2,5,6,3]=>[4,2]=>[2]=>1
[-,4,2,5,6,3]=>[1,4,2,5,6,3]=>[4,2]=>[2]=>1
[+,4,2,6,3,5]=>[1,4,2,6,3,5]=>[4,2]=>[2]=>1
[-,4,2,6,3,5]=>[1,4,2,6,3,5]=>[4,2]=>[2]=>1
[+,4,2,6,+,3]=>[1,4,2,6,5,3]=>[3,2,1]=>[2,1]=>1
[-,4,2,6,+,3]=>[1,4,2,6,5,3]=>[3,2,1]=>[2,1]=>1
[+,4,2,6,-,3]=>[1,4,2,6,5,3]=>[3,2,1]=>[2,1]=>1
[-,4,2,6,-,3]=>[1,4,2,6,5,3]=>[3,2,1]=>[2,1]=>1
[+,4,+,2,+,+]=>[1,4,3,2,5,6]=>[4,1,1]=>[1,1]=>0
[-,4,+,2,+,+]=>[1,4,3,2,5,6]=>[4,1,1]=>[1,1]=>0
[+,4,-,2,+,+]=>[1,4,3,2,5,6]=>[4,1,1]=>[1,1]=>0
[+,4,+,2,-,+]=>[1,4,3,2,5,6]=>[4,1,1]=>[1,1]=>0
[+,4,+,2,+,-]=>[1,4,3,2,5,6]=>[4,1,1]=>[1,1]=>0
[-,4,-,2,+,+]=>[1,4,3,2,5,6]=>[4,1,1]=>[1,1]=>0
[-,4,+,2,-,+]=>[1,4,3,2,5,6]=>[4,1,1]=>[1,1]=>0
[-,4,+,2,+,-]=>[1,4,3,2,5,6]=>[4,1,1]=>[1,1]=>0
[+,4,-,2,-,+]=>[1,4,3,2,5,6]=>[4,1,1]=>[1,1]=>0
[+,4,-,2,+,-]=>[1,4,3,2,5,6]=>[4,1,1]=>[1,1]=>0
[+,4,+,2,-,-]=>[1,4,3,2,5,6]=>[4,1,1]=>[1,1]=>0
[-,4,-,2,-,+]=>[1,4,3,2,5,6]=>[4,1,1]=>[1,1]=>0
[-,4,-,2,+,-]=>[1,4,3,2,5,6]=>[4,1,1]=>[1,1]=>0
[-,4,+,2,-,-]=>[1,4,3,2,5,6]=>[4,1,1]=>[1,1]=>0
[+,4,-,2,-,-]=>[1,4,3,2,5,6]=>[4,1,1]=>[1,1]=>0
[-,4,-,2,-,-]=>[1,4,3,2,5,6]=>[4,1,1]=>[1,1]=>0
[+,4,+,2,6,5]=>[1,4,3,2,6,5]=>[3,2,1]=>[2,1]=>1
[-,4,+,2,6,5]=>[1,4,3,2,6,5]=>[3,2,1]=>[2,1]=>1
[+,4,-,2,6,5]=>[1,4,3,2,6,5]=>[3,2,1]=>[2,1]=>1
[-,4,-,2,6,5]=>[1,4,3,2,6,5]=>[3,2,1]=>[2,1]=>1
[+,4,+,5,2,+]=>[1,4,3,5,2,6]=>[4,1,1]=>[1,1]=>0
[-,4,+,5,2,+]=>[1,4,3,5,2,6]=>[4,1,1]=>[1,1]=>0
[+,4,-,5,2,+]=>[1,4,3,5,2,6]=>[4,1,1]=>[1,1]=>0
[+,4,+,5,2,-]=>[1,4,3,5,2,6]=>[4,1,1]=>[1,1]=>0
[-,4,-,5,2,+]=>[1,4,3,5,2,6]=>[4,1,1]=>[1,1]=>0
[-,4,+,5,2,-]=>[1,4,3,5,2,6]=>[4,1,1]=>[1,1]=>0
[+,4,-,5,2,-]=>[1,4,3,5,2,6]=>[4,1,1]=>[1,1]=>0
[-,4,-,5,2,-]=>[1,4,3,5,2,6]=>[4,1,1]=>[1,1]=>0
[+,4,+,5,6,2]=>[1,4,3,5,6,2]=>[4,1,1]=>[1,1]=>0
[-,4,+,5,6,2]=>[1,4,3,5,6,2]=>[4,1,1]=>[1,1]=>0
[+,4,-,5,6,2]=>[1,4,3,5,6,2]=>[4,1,1]=>[1,1]=>0
[-,4,-,5,6,2]=>[1,4,3,5,6,2]=>[4,1,1]=>[1,1]=>0
[+,4,+,6,2,5]=>[1,4,3,6,2,5]=>[3,2,1]=>[2,1]=>1
[-,4,+,6,2,5]=>[1,4,3,6,2,5]=>[3,2,1]=>[2,1]=>1
[+,4,-,6,2,5]=>[1,4,3,6,2,5]=>[3,2,1]=>[2,1]=>1
[-,4,-,6,2,5]=>[1,4,3,6,2,5]=>[3,2,1]=>[2,1]=>1
[+,4,+,6,+,2]=>[1,4,3,6,5,2]=>[3,2,1]=>[2,1]=>1
[-,4,+,6,+,2]=>[1,4,3,6,5,2]=>[3,2,1]=>[2,1]=>1
[+,4,-,6,+,2]=>[1,4,3,6,5,2]=>[3,2,1]=>[2,1]=>1
[+,4,+,6,-,2]=>[1,4,3,6,5,2]=>[3,2,1]=>[2,1]=>1
[-,4,-,6,+,2]=>[1,4,3,6,5,2]=>[3,2,1]=>[2,1]=>1
[-,4,+,6,-,2]=>[1,4,3,6,5,2]=>[3,2,1]=>[2,1]=>1
[+,4,-,6,-,2]=>[1,4,3,6,5,2]=>[3,2,1]=>[2,1]=>1
[-,4,-,6,-,2]=>[1,4,3,6,5,2]=>[3,2,1]=>[2,1]=>1
[+,4,5,2,3,+]=>[1,4,5,2,3,6]=>[4,2]=>[2]=>1
[-,4,5,2,3,+]=>[1,4,5,2,3,6]=>[4,2]=>[2]=>1
[+,4,5,2,3,-]=>[1,4,5,2,3,6]=>[4,2]=>[2]=>1
[-,4,5,2,3,-]=>[1,4,5,2,3,6]=>[4,2]=>[2]=>1
[+,4,5,2,6,3]=>[1,4,5,2,6,3]=>[4,2]=>[2]=>1
[-,4,5,2,6,3]=>[1,4,5,2,6,3]=>[4,2]=>[2]=>1
[+,4,5,3,2,+]=>[1,4,5,3,2,6]=>[4,1,1]=>[1,1]=>0
[-,4,5,3,2,+]=>[1,4,5,3,2,6]=>[4,1,1]=>[1,1]=>0
[+,4,5,3,2,-]=>[1,4,5,3,2,6]=>[4,1,1]=>[1,1]=>0
[-,4,5,3,2,-]=>[1,4,5,3,2,6]=>[4,1,1]=>[1,1]=>0
[+,4,5,3,6,2]=>[1,4,5,3,6,2]=>[4,1,1]=>[1,1]=>0
[-,4,5,3,6,2]=>[1,4,5,3,6,2]=>[4,1,1]=>[1,1]=>0
[+,4,5,6,2,3]=>[1,4,5,6,2,3]=>[4,2]=>[2]=>1
[-,4,5,6,2,3]=>[1,4,5,6,2,3]=>[4,2]=>[2]=>1
[+,4,5,6,3,2]=>[1,4,5,6,3,2]=>[4,1,1]=>[1,1]=>0
[-,4,5,6,3,2]=>[1,4,5,6,3,2]=>[4,1,1]=>[1,1]=>0
[+,4,6,2,3,5]=>[1,4,6,2,3,5]=>[4,2]=>[2]=>1
[-,4,6,2,3,5]=>[1,4,6,2,3,5]=>[4,2]=>[2]=>1
[+,4,6,2,+,3]=>[1,4,6,2,5,3]=>[3,2,1]=>[2,1]=>1
[-,4,6,2,+,3]=>[1,4,6,2,5,3]=>[3,2,1]=>[2,1]=>1
[+,4,6,2,-,3]=>[1,4,6,2,5,3]=>[3,2,1]=>[2,1]=>1
[-,4,6,2,-,3]=>[1,4,6,2,5,3]=>[3,2,1]=>[2,1]=>1
[+,4,6,3,2,5]=>[1,4,6,3,2,5]=>[3,2,1]=>[2,1]=>1
[-,4,6,3,2,5]=>[1,4,6,3,2,5]=>[3,2,1]=>[2,1]=>1
[+,4,6,3,+,2]=>[1,4,6,3,5,2]=>[3,2,1]=>[2,1]=>1
[-,4,6,3,+,2]=>[1,4,6,3,5,2]=>[3,2,1]=>[2,1]=>1
[+,4,6,3,-,2]=>[1,4,6,3,5,2]=>[3,2,1]=>[2,1]=>1
[-,4,6,3,-,2]=>[1,4,6,3,5,2]=>[3,2,1]=>[2,1]=>1
[+,4,6,5,2,3]=>[1,4,6,5,2,3]=>[3,2,1]=>[2,1]=>1
[-,4,6,5,2,3]=>[1,4,6,5,2,3]=>[3,2,1]=>[2,1]=>1
[+,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
[+,5,2,3,6,4]=>[1,5,2,3,6,4]=>[4,2]=>[2]=>1
[-,5,2,3,6,4]=>[1,5,2,3,6,4]=>[4,2]=>[2]=>1
[+,5,2,+,3,+]=>[1,5,2,4,3,6]=>[4,1,1]=>[1,1]=>0
[-,5,2,+,3,+]=>[1,5,2,4,3,6]=>[4,1,1]=>[1,1]=>0
[+,5,2,-,3,+]=>[1,5,2,4,3,6]=>[4,1,1]=>[1,1]=>0
[+,5,2,+,3,-]=>[1,5,2,4,3,6]=>[4,1,1]=>[1,1]=>0
[-,5,2,-,3,+]=>[1,5,2,4,3,6]=>[4,1,1]=>[1,1]=>0
[-,5,2,+,3,-]=>[1,5,2,4,3,6]=>[4,1,1]=>[1,1]=>0
[+,5,2,-,3,-]=>[1,5,2,4,3,6]=>[4,1,1]=>[1,1]=>0
[-,5,2,-,3,-]=>[1,5,2,4,3,6]=>[4,1,1]=>[1,1]=>0
[+,5,2,+,6,3]=>[1,5,2,4,6,3]=>[4,1,1]=>[1,1]=>0
[-,5,2,+,6,3]=>[1,5,2,4,6,3]=>[4,1,1]=>[1,1]=>0
[+,5,2,-,6,3]=>[1,5,2,4,6,3]=>[4,1,1]=>[1,1]=>0
[-,5,2,-,6,3]=>[1,5,2,4,6,3]=>[4,1,1]=>[1,1]=>0
[+,5,2,6,3,4]=>[1,5,2,6,3,4]=>[4,2]=>[2]=>1
[-,5,2,6,3,4]=>[1,5,2,6,3,4]=>[4,2]=>[2]=>1
[+,5,2,6,4,3]=>[1,5,2,6,4,3]=>[3,2,1]=>[2,1]=>1
[-,5,2,6,4,3]=>[1,5,2,6,4,3]=>[3,2,1]=>[2,1]=>1
[+,5,+,2,4,+]=>[1,5,3,2,4,6]=>[4,1,1]=>[1,1]=>0
[-,5,+,2,4,+]=>[1,5,3,2,4,6]=>[4,1,1]=>[1,1]=>0
[+,5,-,2,4,+]=>[1,5,3,2,4,6]=>[4,1,1]=>[1,1]=>0
[+,5,+,2,4,-]=>[1,5,3,2,4,6]=>[4,1,1]=>[1,1]=>0
[-,5,-,2,4,+]=>[1,5,3,2,4,6]=>[4,1,1]=>[1,1]=>0
[-,5,+,2,4,-]=>[1,5,3,2,4,6]=>[4,1,1]=>[1,1]=>0
[+,5,-,2,4,-]=>[1,5,3,2,4,6]=>[4,1,1]=>[1,1]=>0
[-,5,-,2,4,-]=>[1,5,3,2,4,6]=>[4,1,1]=>[1,1]=>0
[+,5,+,2,6,4]=>[1,5,3,2,6,4]=>[3,2,1]=>[2,1]=>1
[-,5,+,2,6,4]=>[1,5,3,2,6,4]=>[3,2,1]=>[2,1]=>1
[+,5,-,2,6,4]=>[1,5,3,2,6,4]=>[3,2,1]=>[2,1]=>1
[-,5,-,2,6,4]=>[1,5,3,2,6,4]=>[3,2,1]=>[2,1]=>1
[+,5,+,+,2,+]=>[1,5,3,4,2,6]=>[4,1,1]=>[1,1]=>0
[-,5,+,+,2,+]=>[1,5,3,4,2,6]=>[4,1,1]=>[1,1]=>0
[+,5,-,+,2,+]=>[1,5,3,4,2,6]=>[4,1,1]=>[1,1]=>0
[+,5,+,-,2,+]=>[1,5,3,4,2,6]=>[4,1,1]=>[1,1]=>0
[+,5,+,+,2,-]=>[1,5,3,4,2,6]=>[4,1,1]=>[1,1]=>0
[-,5,-,+,2,+]=>[1,5,3,4,2,6]=>[4,1,1]=>[1,1]=>0
[-,5,+,-,2,+]=>[1,5,3,4,2,6]=>[4,1,1]=>[1,1]=>0
[-,5,+,+,2,-]=>[1,5,3,4,2,6]=>[4,1,1]=>[1,1]=>0
[+,5,-,-,2,+]=>[1,5,3,4,2,6]=>[4,1,1]=>[1,1]=>0
[+,5,-,+,2,-]=>[1,5,3,4,2,6]=>[4,1,1]=>[1,1]=>0
[+,5,+,-,2,-]=>[1,5,3,4,2,6]=>[4,1,1]=>[1,1]=>0
[-,5,-,-,2,+]=>[1,5,3,4,2,6]=>[4,1,1]=>[1,1]=>0
[-,5,-,+,2,-]=>[1,5,3,4,2,6]=>[4,1,1]=>[1,1]=>0
[-,5,+,-,2,-]=>[1,5,3,4,2,6]=>[4,1,1]=>[1,1]=>0
[+,5,-,-,2,-]=>[1,5,3,4,2,6]=>[4,1,1]=>[1,1]=>0
[-,5,-,-,2,-]=>[1,5,3,4,2,6]=>[4,1,1]=>[1,1]=>0
[+,5,+,+,6,2]=>[1,5,3,4,6,2]=>[4,1,1]=>[1,1]=>0
[-,5,+,+,6,2]=>[1,5,3,4,6,2]=>[4,1,1]=>[1,1]=>0
[+,5,-,+,6,2]=>[1,5,3,4,6,2]=>[4,1,1]=>[1,1]=>0
[+,5,+,-,6,2]=>[1,5,3,4,6,2]=>[4,1,1]=>[1,1]=>0
[-,5,-,+,6,2]=>[1,5,3,4,6,2]=>[4,1,1]=>[1,1]=>0
[-,5,+,-,6,2]=>[1,5,3,4,6,2]=>[4,1,1]=>[1,1]=>0
[+,5,-,-,6,2]=>[1,5,3,4,6,2]=>[4,1,1]=>[1,1]=>0
[-,5,-,-,6,2]=>[1,5,3,4,6,2]=>[4,1,1]=>[1,1]=>0
[+,5,+,6,2,4]=>[1,5,3,6,2,4]=>[3,2,1]=>[2,1]=>1
[-,5,+,6,2,4]=>[1,5,3,6,2,4]=>[3,2,1]=>[2,1]=>1
[+,5,-,6,2,4]=>[1,5,3,6,2,4]=>[3,2,1]=>[2,1]=>1
[-,5,-,6,2,4]=>[1,5,3,6,2,4]=>[3,2,1]=>[2,1]=>1
[+,5,+,6,4,2]=>[1,5,3,6,4,2]=>[3,2,1]=>[2,1]=>1
[-,5,+,6,4,2]=>[1,5,3,6,4,2]=>[3,2,1]=>[2,1]=>1
[+,5,-,6,4,2]=>[1,5,3,6,4,2]=>[3,2,1]=>[2,1]=>1
[-,5,-,6,4,2]=>[1,5,3,6,4,2]=>[3,2,1]=>[2,1]=>1
[+,5,4,2,3,+]=>[1,5,4,2,3,6]=>[4,1,1]=>[1,1]=>0
[-,5,4,2,3,+]=>[1,5,4,2,3,6]=>[4,1,1]=>[1,1]=>0
[+,5,4,2,3,-]=>[1,5,4,2,3,6]=>[4,1,1]=>[1,1]=>0
[-,5,4,2,3,-]=>[1,5,4,2,3,6]=>[4,1,1]=>[1,1]=>0
[+,5,4,2,6,3]=>[1,5,4,2,6,3]=>[3,2,1]=>[2,1]=>1
[-,5,4,2,6,3]=>[1,5,4,2,6,3]=>[3,2,1]=>[2,1]=>1
[+,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]=>1
[-,5,4,6,2,3]=>[1,5,4,6,2,3]=>[3,2,1]=>[2,1]=>1
[+,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
[+,5,6,2,3,4]=>[1,5,6,2,3,4]=>[4,2]=>[2]=>1
[-,5,6,2,3,4]=>[1,5,6,2,3,4]=>[4,2]=>[2]=>1
[+,5,6,2,4,3]=>[1,5,6,2,4,3]=>[3,2,1]=>[2,1]=>1
[-,5,6,2,4,3]=>[1,5,6,2,4,3]=>[3,2,1]=>[2,1]=>1
[+,5,6,3,2,4]=>[1,5,6,3,2,4]=>[3,2,1]=>[2,1]=>1
[-,5,6,3,2,4]=>[1,5,6,3,2,4]=>[3,2,1]=>[2,1]=>1
[+,5,6,3,4,2]=>[1,5,6,3,4,2]=>[3,2,1]=>[2,1]=>1
[-,5,6,3,4,2]=>[1,5,6,3,4,2]=>[3,2,1]=>[2,1]=>1
[+,5,6,+,2,3]=>[1,5,6,4,2,3]=>[3,2,1]=>[2,1]=>1
[-,5,6,+,2,3]=>[1,5,6,4,2,3]=>[3,2,1]=>[2,1]=>1
[+,5,6,-,2,3]=>[1,5,6,4,2,3]=>[3,2,1]=>[2,1]=>1
[-,5,6,-,2,3]=>[1,5,6,4,2,3]=>[3,2,1]=>[2,1]=>1
[+,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
[+,6,2,3,+,4]=>[1,6,2,3,5,4]=>[4,1,1]=>[1,1]=>0
[-,6,2,3,+,4]=>[1,6,2,3,5,4]=>[4,1,1]=>[1,1]=>0
[+,6,2,3,-,4]=>[1,6,2,3,5,4]=>[4,1,1]=>[1,1]=>0
[-,6,2,3,-,4]=>[1,6,2,3,5,4]=>[4,1,1]=>[1,1]=>0
[+,6,2,+,3,5]=>[1,6,2,4,3,5]=>[4,1,1]=>[1,1]=>0
[-,6,2,+,3,5]=>[1,6,2,4,3,5]=>[4,1,1]=>[1,1]=>0
[+,6,2,-,3,5]=>[1,6,2,4,3,5]=>[4,1,1]=>[1,1]=>0
[-,6,2,-,3,5]=>[1,6,2,4,3,5]=>[4,1,1]=>[1,1]=>0
[+,6,2,+,+,3]=>[1,6,2,4,5,3]=>[4,1,1]=>[1,1]=>0
[-,6,2,+,+,3]=>[1,6,2,4,5,3]=>[4,1,1]=>[1,1]=>0
[+,6,2,-,+,3]=>[1,6,2,4,5,3]=>[4,1,1]=>[1,1]=>0
[+,6,2,+,-,3]=>[1,6,2,4,5,3]=>[4,1,1]=>[1,1]=>0
[-,6,2,-,+,3]=>[1,6,2,4,5,3]=>[4,1,1]=>[1,1]=>0
[-,6,2,+,-,3]=>[1,6,2,4,5,3]=>[4,1,1]=>[1,1]=>0
[+,6,2,-,-,3]=>[1,6,2,4,5,3]=>[4,1,1]=>[1,1]=>0
[-,6,2,-,-,3]=>[1,6,2,4,5,3]=>[4,1,1]=>[1,1]=>0
[+,6,2,5,3,4]=>[1,6,2,5,3,4]=>[4,1,1]=>[1,1]=>0
[-,6,2,5,3,4]=>[1,6,2,5,3,4]=>[4,1,1]=>[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,+,2,4,5]=>[1,6,3,2,4,5]=>[4,1,1]=>[1,1]=>0
[-,6,+,2,4,5]=>[1,6,3,2,4,5]=>[4,1,1]=>[1,1]=>0
[+,6,-,2,4,5]=>[1,6,3,2,4,5]=>[4,1,1]=>[1,1]=>0
[-,6,-,2,4,5]=>[1,6,3,2,4,5]=>[4,1,1]=>[1,1]=>0
[+,6,+,2,+,4]=>[1,6,3,2,5,4]=>[3,2,1]=>[2,1]=>1
[-,6,+,2,+,4]=>[1,6,3,2,5,4]=>[3,2,1]=>[2,1]=>1
[+,6,-,2,+,4]=>[1,6,3,2,5,4]=>[3,2,1]=>[2,1]=>1
[+,6,+,2,-,4]=>[1,6,3,2,5,4]=>[3,2,1]=>[2,1]=>1
[-,6,-,2,+,4]=>[1,6,3,2,5,4]=>[3,2,1]=>[2,1]=>1
[-,6,+,2,-,4]=>[1,6,3,2,5,4]=>[3,2,1]=>[2,1]=>1
[+,6,-,2,-,4]=>[1,6,3,2,5,4]=>[3,2,1]=>[2,1]=>1
[-,6,-,2,-,4]=>[1,6,3,2,5,4]=>[3,2,1]=>[2,1]=>1
[+,6,+,+,2,5]=>[1,6,3,4,2,5]=>[4,1,1]=>[1,1]=>0
[-,6,+,+,2,5]=>[1,6,3,4,2,5]=>[4,1,1]=>[1,1]=>0
[+,6,-,+,2,5]=>[1,6,3,4,2,5]=>[4,1,1]=>[1,1]=>0
[+,6,+,-,2,5]=>[1,6,3,4,2,5]=>[4,1,1]=>[1,1]=>0
[-,6,-,+,2,5]=>[1,6,3,4,2,5]=>[4,1,1]=>[1,1]=>0
[-,6,+,-,2,5]=>[1,6,3,4,2,5]=>[4,1,1]=>[1,1]=>0
[+,6,-,-,2,5]=>[1,6,3,4,2,5]=>[4,1,1]=>[1,1]=>0
[-,6,-,-,2,5]=>[1,6,3,4,2,5]=>[4,1,1]=>[1,1]=>0
[+,6,+,+,+,2]=>[1,6,3,4,5,2]=>[4,1,1]=>[1,1]=>0
[-,6,+,+,+,2]=>[1,6,3,4,5,2]=>[4,1,1]=>[1,1]=>0
[+,6,-,+,+,2]=>[1,6,3,4,5,2]=>[4,1,1]=>[1,1]=>0
[+,6,+,-,+,2]=>[1,6,3,4,5,2]=>[4,1,1]=>[1,1]=>0
[+,6,+,+,-,2]=>[1,6,3,4,5,2]=>[4,1,1]=>[1,1]=>0
[-,6,-,+,+,2]=>[1,6,3,4,5,2]=>[4,1,1]=>[1,1]=>0
[-,6,+,-,+,2]=>[1,6,3,4,5,2]=>[4,1,1]=>[1,1]=>0
[-,6,+,+,-,2]=>[1,6,3,4,5,2]=>[4,1,1]=>[1,1]=>0
[+,6,-,-,+,2]=>[1,6,3,4,5,2]=>[4,1,1]=>[1,1]=>0
[+,6,-,+,-,2]=>[1,6,3,4,5,2]=>[4,1,1]=>[1,1]=>0
[+,6,+,-,-,2]=>[1,6,3,4,5,2]=>[4,1,1]=>[1,1]=>0
[-,6,-,-,+,2]=>[1,6,3,4,5,2]=>[4,1,1]=>[1,1]=>0
[-,6,-,+,-,2]=>[1,6,3,4,5,2]=>[4,1,1]=>[1,1]=>0
[-,6,+,-,-,2]=>[1,6,3,4,5,2]=>[4,1,1]=>[1,1]=>0
[+,6,-,-,-,2]=>[1,6,3,4,5,2]=>[4,1,1]=>[1,1]=>0
[-,6,-,-,-,2]=>[1,6,3,4,5,2]=>[4,1,1]=>[1,1]=>0
[+,6,+,5,2,4]=>[1,6,3,5,2,4]=>[3,2,1]=>[2,1]=>1
[-,6,+,5,2,4]=>[1,6,3,5,2,4]=>[3,2,1]=>[2,1]=>1
[+,6,-,5,2,4]=>[1,6,3,5,2,4]=>[3,2,1]=>[2,1]=>1
[-,6,-,5,2,4]=>[1,6,3,5,2,4]=>[3,2,1]=>[2,1]=>1
[+,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
[+,6,4,2,3,5]=>[1,6,4,2,3,5]=>[4,1,1]=>[1,1]=>0
[-,6,4,2,3,5]=>[1,6,4,2,3,5]=>[4,1,1]=>[1,1]=>0
[+,6,4,2,+,3]=>[1,6,4,2,5,3]=>[3,2,1]=>[2,1]=>1
[-,6,4,2,+,3]=>[1,6,4,2,5,3]=>[3,2,1]=>[2,1]=>1
[+,6,4,2,-,3]=>[1,6,4,2,5,3]=>[3,2,1]=>[2,1]=>1
[-,6,4,2,-,3]=>[1,6,4,2,5,3]=>[3,2,1]=>[2,1]=>1
[+,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]=>1
[-,6,4,5,2,3]=>[1,6,4,5,2,3]=>[3,2,1]=>[2,1]=>1
[+,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
[+,6,5,2,3,4]=>[1,6,5,2,3,4]=>[4,1,1]=>[1,1]=>0
[-,6,5,2,3,4]=>[1,6,5,2,3,4]=>[4,1,1]=>[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,+,+,6,5]=>[2,1,3,4,6,5]=>[4,2]=>[2]=>1
[2,1,-,+,6,5]=>[2,1,3,4,6,5]=>[4,2]=>[2]=>1
[2,1,+,-,6,5]=>[2,1,3,4,6,5]=>[4,2]=>[2]=>1
[2,1,-,-,6,5]=>[2,1,3,4,6,5]=>[4,2]=>[2]=>1
[2,1,+,5,4,+]=>[2,1,3,5,4,6]=>[4,2]=>[2]=>1
[2,1,-,5,4,+]=>[2,1,3,5,4,6]=>[4,2]=>[2]=>1
[2,1,+,5,4,-]=>[2,1,3,5,4,6]=>[4,2]=>[2]=>1
[2,1,-,5,4,-]=>[2,1,3,5,4,6]=>[4,2]=>[2]=>1
[2,1,+,5,6,4]=>[2,1,3,5,6,4]=>[4,2]=>[2]=>1
[2,1,-,5,6,4]=>[2,1,3,5,6,4]=>[4,2]=>[2]=>1
[2,1,+,6,4,5]=>[2,1,3,6,4,5]=>[4,2]=>[2]=>1
[2,1,-,6,4,5]=>[2,1,3,6,4,5]=>[4,2]=>[2]=>1
[2,1,+,6,+,4]=>[2,1,3,6,5,4]=>[3,2,1]=>[2,1]=>1
[2,1,-,6,+,4]=>[2,1,3,6,5,4]=>[3,2,1]=>[2,1]=>1
[2,1,+,6,-,4]=>[2,1,3,6,5,4]=>[3,2,1]=>[2,1]=>1
[2,1,-,6,-,4]=>[2,1,3,6,5,4]=>[3,2,1]=>[2,1]=>1
[2,1,4,3,+,+]=>[2,1,4,3,5,6]=>[4,2]=>[2]=>1
[2,1,4,3,-,+]=>[2,1,4,3,5,6]=>[4,2]=>[2]=>1
[2,1,4,3,+,-]=>[2,1,4,3,5,6]=>[4,2]=>[2]=>1
[2,1,4,3,-,-]=>[2,1,4,3,5,6]=>[4,2]=>[2]=>1
[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[3,3]=>[3]=>3
[2,1,4,5,3,+]=>[2,1,4,5,3,6]=>[4,2]=>[2]=>1
[2,1,4,5,3,-]=>[2,1,4,5,3,6]=>[4,2]=>[2]=>1
[2,1,4,5,6,3]=>[2,1,4,5,6,3]=>[4,2]=>[2]=>1
[2,1,4,6,3,5]=>[2,1,4,6,3,5]=>[3,3]=>[3]=>3
[2,1,4,6,+,3]=>[2,1,4,6,5,3]=>[3,2,1]=>[2,1]=>1
[2,1,4,6,-,3]=>[2,1,4,6,5,3]=>[3,2,1]=>[2,1]=>1
[2,1,5,3,4,+]=>[2,1,5,3,4,6]=>[4,2]=>[2]=>1
[2,1,5,3,4,-]=>[2,1,5,3,4,6]=>[4,2]=>[2]=>1
[2,1,5,3,6,4]=>[2,1,5,3,6,4]=>[3,3]=>[3]=>3
[2,1,5,+,3,+]=>[2,1,5,4,3,6]=>[3,2,1]=>[2,1]=>1
[2,1,5,-,3,+]=>[2,1,5,4,3,6]=>[3,2,1]=>[2,1]=>1
[2,1,5,+,3,-]=>[2,1,5,4,3,6]=>[3,2,1]=>[2,1]=>1
[2,1,5,-,3,-]=>[2,1,5,4,3,6]=>[3,2,1]=>[2,1]=>1
[2,1,5,+,6,3]=>[2,1,5,4,6,3]=>[3,2,1]=>[2,1]=>1
[2,1,5,-,6,3]=>[2,1,5,4,6,3]=>[3,2,1]=>[2,1]=>1
[2,1,5,6,3,4]=>[2,1,5,6,3,4]=>[3,3]=>[3]=>3
[2,1,5,6,4,3]=>[2,1,5,6,4,3]=>[3,2,1]=>[2,1]=>1
[2,1,6,3,4,5]=>[2,1,6,3,4,5]=>[4,2]=>[2]=>1
[2,1,6,3,+,4]=>[2,1,6,3,5,4]=>[3,2,1]=>[2,1]=>1
[2,1,6,3,-,4]=>[2,1,6,3,5,4]=>[3,2,1]=>[2,1]=>1
[2,1,6,+,3,5]=>[2,1,6,4,3,5]=>[3,2,1]=>[2,1]=>1
[2,1,6,-,3,5]=>[2,1,6,4,3,5]=>[3,2,1]=>[2,1]=>1
[2,1,6,+,+,3]=>[2,1,6,4,5,3]=>[3,2,1]=>[2,1]=>1
[2,1,6,-,+,3]=>[2,1,6,4,5,3]=>[3,2,1]=>[2,1]=>1
[2,1,6,+,-,3]=>[2,1,6,4,5,3]=>[3,2,1]=>[2,1]=>1
[2,1,6,-,-,3]=>[2,1,6,4,5,3]=>[3,2,1]=>[2,1]=>1
[2,1,6,5,3,4]=>[2,1,6,5,3,4]=>[3,2,1]=>[2,1]=>1
[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[2,2,1,1]=>[2,1,1]=>1
[2,3,1,+,6,5]=>[2,3,1,4,6,5]=>[4,2]=>[2]=>1
[2,3,1,-,6,5]=>[2,3,1,4,6,5]=>[4,2]=>[2]=>1
[2,3,1,5,4,+]=>[2,3,1,5,4,6]=>[4,2]=>[2]=>1
[2,3,1,5,4,-]=>[2,3,1,5,4,6]=>[4,2]=>[2]=>1
[2,3,1,5,6,4]=>[2,3,1,5,6,4]=>[4,2]=>[2]=>1
[2,3,1,6,4,5]=>[2,3,1,6,4,5]=>[4,2]=>[2]=>1
[2,3,1,6,+,4]=>[2,3,1,6,5,4]=>[3,2,1]=>[2,1]=>1
[2,3,1,6,-,4]=>[2,3,1,6,5,4]=>[3,2,1]=>[2,1]=>1
[2,3,4,1,6,5]=>[2,3,4,1,6,5]=>[4,2]=>[2]=>1
[2,3,4,6,1,5]=>[2,3,4,6,1,5]=>[4,2]=>[2]=>1
[2,3,4,6,+,1]=>[2,3,4,6,5,1]=>[4,1,1]=>[1,1]=>0
[2,3,4,6,-,1]=>[2,3,4,6,5,1]=>[4,1,1]=>[1,1]=>0
[2,3,5,1,4,+]=>[2,3,5,1,4,6]=>[4,2]=>[2]=>1
[2,3,5,1,4,-]=>[2,3,5,1,4,6]=>[4,2]=>[2]=>1
[2,3,5,1,6,4]=>[2,3,5,1,6,4]=>[4,2]=>[2]=>1
[2,3,5,+,1,+]=>[2,3,5,4,1,6]=>[4,1,1]=>[1,1]=>0
[2,3,5,-,1,+]=>[2,3,5,4,1,6]=>[4,1,1]=>[1,1]=>0
[2,3,5,+,1,-]=>[2,3,5,4,1,6]=>[4,1,1]=>[1,1]=>0
[2,3,5,-,1,-]=>[2,3,5,4,1,6]=>[4,1,1]=>[1,1]=>0
[2,3,5,+,6,1]=>[2,3,5,4,6,1]=>[4,1,1]=>[1,1]=>0
[2,3,5,-,6,1]=>[2,3,5,4,6,1]=>[4,1,1]=>[1,1]=>0
[2,3,5,6,1,4]=>[2,3,5,6,1,4]=>[4,2]=>[2]=>1
[2,3,5,6,4,1]=>[2,3,5,6,4,1]=>[4,1,1]=>[1,1]=>0
[2,3,6,1,4,5]=>[2,3,6,1,4,5]=>[4,2]=>[2]=>1
[2,3,6,1,+,4]=>[2,3,6,1,5,4]=>[3,2,1]=>[2,1]=>1
[2,3,6,1,-,4]=>[2,3,6,1,5,4]=>[3,2,1]=>[2,1]=>1
[2,3,6,+,1,5]=>[2,3,6,4,1,5]=>[4,1,1]=>[1,1]=>0
[2,3,6,-,1,5]=>[2,3,6,4,1,5]=>[4,1,1]=>[1,1]=>0
[2,3,6,+,+,1]=>[2,3,6,4,5,1]=>[4,1,1]=>[1,1]=>0
[2,3,6,-,+,1]=>[2,3,6,4,5,1]=>[4,1,1]=>[1,1]=>0
[2,3,6,+,-,1]=>[2,3,6,4,5,1]=>[4,1,1]=>[1,1]=>0
[2,3,6,-,-,1]=>[2,3,6,4,5,1]=>[4,1,1]=>[1,1]=>0
[2,3,6,5,1,4]=>[2,3,6,5,1,4]=>[3,2,1]=>[2,1]=>1
[2,3,6,5,4,1]=>[2,3,6,5,4,1]=>[3,1,1,1]=>[1,1,1]=>0
[2,4,1,3,+,+]=>[2,4,1,3,5,6]=>[4,2]=>[2]=>1
[2,4,1,3,-,+]=>[2,4,1,3,5,6]=>[4,2]=>[2]=>1
[2,4,1,3,+,-]=>[2,4,1,3,5,6]=>[4,2]=>[2]=>1
[2,4,1,3,-,-]=>[2,4,1,3,5,6]=>[4,2]=>[2]=>1
[2,4,1,3,6,5]=>[2,4,1,3,6,5]=>[3,3]=>[3]=>3
[2,4,1,5,3,+]=>[2,4,1,5,3,6]=>[4,2]=>[2]=>1
[2,4,1,5,3,-]=>[2,4,1,5,3,6]=>[4,2]=>[2]=>1
[2,4,1,5,6,3]=>[2,4,1,5,6,3]=>[4,2]=>[2]=>1
[2,4,1,6,3,5]=>[2,4,1,6,3,5]=>[3,3]=>[3]=>3
[2,4,1,6,+,3]=>[2,4,1,6,5,3]=>[3,2,1]=>[2,1]=>1
[2,4,1,6,-,3]=>[2,4,1,6,5,3]=>[3,2,1]=>[2,1]=>1
[2,4,+,1,+,+]=>[2,4,3,1,5,6]=>[4,1,1]=>[1,1]=>0
[2,4,-,1,+,+]=>[2,4,3,1,5,6]=>[4,1,1]=>[1,1]=>0
[2,4,+,1,-,+]=>[2,4,3,1,5,6]=>[4,1,1]=>[1,1]=>0
[2,4,+,1,+,-]=>[2,4,3,1,5,6]=>[4,1,1]=>[1,1]=>0
[2,4,-,1,-,+]=>[2,4,3,1,5,6]=>[4,1,1]=>[1,1]=>0
[2,4,-,1,+,-]=>[2,4,3,1,5,6]=>[4,1,1]=>[1,1]=>0
[2,4,+,1,-,-]=>[2,4,3,1,5,6]=>[4,1,1]=>[1,1]=>0
[2,4,-,1,-,-]=>[2,4,3,1,5,6]=>[4,1,1]=>[1,1]=>0
[2,4,+,1,6,5]=>[2,4,3,1,6,5]=>[3,2,1]=>[2,1]=>1
[2,4,-,1,6,5]=>[2,4,3,1,6,5]=>[3,2,1]=>[2,1]=>1
[2,4,+,5,1,+]=>[2,4,3,5,1,6]=>[4,1,1]=>[1,1]=>0
[2,4,-,5,1,+]=>[2,4,3,5,1,6]=>[4,1,1]=>[1,1]=>0
[2,4,+,5,1,-]=>[2,4,3,5,1,6]=>[4,1,1]=>[1,1]=>0
[2,4,-,5,1,-]=>[2,4,3,5,1,6]=>[4,1,1]=>[1,1]=>0
[2,4,+,5,6,1]=>[2,4,3,5,6,1]=>[4,1,1]=>[1,1]=>0
[2,4,-,5,6,1]=>[2,4,3,5,6,1]=>[4,1,1]=>[1,1]=>0
[2,4,+,6,1,5]=>[2,4,3,6,1,5]=>[3,2,1]=>[2,1]=>1
[2,4,-,6,1,5]=>[2,4,3,6,1,5]=>[3,2,1]=>[2,1]=>1
[2,4,+,6,+,1]=>[2,4,3,6,5,1]=>[3,2,1]=>[2,1]=>1
[2,4,-,6,+,1]=>[2,4,3,6,5,1]=>[3,2,1]=>[2,1]=>1
[2,4,+,6,-,1]=>[2,4,3,6,5,1]=>[3,2,1]=>[2,1]=>1
[2,4,-,6,-,1]=>[2,4,3,6,5,1]=>[3,2,1]=>[2,1]=>1
[2,4,5,1,3,+]=>[2,4,5,1,3,6]=>[4,2]=>[2]=>1
[2,4,5,1,3,-]=>[2,4,5,1,3,6]=>[4,2]=>[2]=>1
[2,4,5,1,6,3]=>[2,4,5,1,6,3]=>[4,2]=>[2]=>1
[2,4,5,3,1,+]=>[2,4,5,3,1,6]=>[4,1,1]=>[1,1]=>0
[2,4,5,3,1,-]=>[2,4,5,3,1,6]=>[4,1,1]=>[1,1]=>0
[2,4,5,3,6,1]=>[2,4,5,3,6,1]=>[4,1,1]=>[1,1]=>0
[2,4,5,6,1,3]=>[2,4,5,6,1,3]=>[4,2]=>[2]=>1
[2,4,5,6,3,1]=>[2,4,5,6,3,1]=>[4,1,1]=>[1,1]=>0
[2,4,6,1,3,5]=>[2,4,6,1,3,5]=>[3,3]=>[3]=>3
[2,4,6,1,+,3]=>[2,4,6,1,5,3]=>[3,2,1]=>[2,1]=>1
[2,4,6,1,-,3]=>[2,4,6,1,5,3]=>[3,2,1]=>[2,1]=>1
[2,4,6,3,1,5]=>[2,4,6,3,1,5]=>[3,2,1]=>[2,1]=>1
[2,4,6,3,+,1]=>[2,4,6,3,5,1]=>[3,2,1]=>[2,1]=>1
[2,4,6,3,-,1]=>[2,4,6,3,5,1]=>[3,2,1]=>[2,1]=>1
[2,4,6,5,1,3]=>[2,4,6,5,1,3]=>[3,2,1]=>[2,1]=>1
[2,4,6,5,3,1]=>[2,4,6,5,3,1]=>[3,1,1,1]=>[1,1,1]=>0
[2,5,1,3,4,+]=>[2,5,1,3,4,6]=>[4,2]=>[2]=>1
[2,5,1,3,4,-]=>[2,5,1,3,4,6]=>[4,2]=>[2]=>1
[2,5,1,3,6,4]=>[2,5,1,3,6,4]=>[3,3]=>[3]=>3
[2,5,1,+,3,+]=>[2,5,1,4,3,6]=>[3,2,1]=>[2,1]=>1
[2,5,1,-,3,+]=>[2,5,1,4,3,6]=>[3,2,1]=>[2,1]=>1
[2,5,1,+,3,-]=>[2,5,1,4,3,6]=>[3,2,1]=>[2,1]=>1
[2,5,1,-,3,-]=>[2,5,1,4,3,6]=>[3,2,1]=>[2,1]=>1
[2,5,1,+,6,3]=>[2,5,1,4,6,3]=>[3,2,1]=>[2,1]=>1
[2,5,1,-,6,3]=>[2,5,1,4,6,3]=>[3,2,1]=>[2,1]=>1
[2,5,1,6,3,4]=>[2,5,1,6,3,4]=>[3,3]=>[3]=>3
[2,5,1,6,4,3]=>[2,5,1,6,4,3]=>[3,2,1]=>[2,1]=>1
[2,5,+,1,4,+]=>[2,5,3,1,4,6]=>[4,1,1]=>[1,1]=>0
[2,5,-,1,4,+]=>[2,5,3,1,4,6]=>[4,1,1]=>[1,1]=>0
[2,5,+,1,4,-]=>[2,5,3,1,4,6]=>[4,1,1]=>[1,1]=>0
[2,5,-,1,4,-]=>[2,5,3,1,4,6]=>[4,1,1]=>[1,1]=>0
[2,5,+,1,6,4]=>[2,5,3,1,6,4]=>[3,2,1]=>[2,1]=>1
[2,5,-,1,6,4]=>[2,5,3,1,6,4]=>[3,2,1]=>[2,1]=>1
[2,5,+,+,1,+]=>[2,5,3,4,1,6]=>[4,1,1]=>[1,1]=>0
[2,5,-,+,1,+]=>[2,5,3,4,1,6]=>[4,1,1]=>[1,1]=>0
[2,5,+,-,1,+]=>[2,5,3,4,1,6]=>[4,1,1]=>[1,1]=>0
[2,5,+,+,1,-]=>[2,5,3,4,1,6]=>[4,1,1]=>[1,1]=>0
[2,5,-,-,1,+]=>[2,5,3,4,1,6]=>[4,1,1]=>[1,1]=>0
[2,5,-,+,1,-]=>[2,5,3,4,1,6]=>[4,1,1]=>[1,1]=>0
[2,5,+,-,1,-]=>[2,5,3,4,1,6]=>[4,1,1]=>[1,1]=>0
[2,5,-,-,1,-]=>[2,5,3,4,1,6]=>[4,1,1]=>[1,1]=>0
[2,5,+,+,6,1]=>[2,5,3,4,6,1]=>[4,1,1]=>[1,1]=>0
[2,5,-,+,6,1]=>[2,5,3,4,6,1]=>[4,1,1]=>[1,1]=>0
[2,5,+,-,6,1]=>[2,5,3,4,6,1]=>[4,1,1]=>[1,1]=>0
[2,5,-,-,6,1]=>[2,5,3,4,6,1]=>[4,1,1]=>[1,1]=>0
[2,5,+,6,1,4]=>[2,5,3,6,1,4]=>[3,2,1]=>[2,1]=>1
[2,5,-,6,1,4]=>[2,5,3,6,1,4]=>[3,2,1]=>[2,1]=>1
[2,5,+,6,4,1]=>[2,5,3,6,4,1]=>[3,2,1]=>[2,1]=>1
[2,5,-,6,4,1]=>[2,5,3,6,4,1]=>[3,2,1]=>[2,1]=>1
[2,5,4,1,3,+]=>[2,5,4,1,3,6]=>[3,2,1]=>[2,1]=>1
[2,5,4,1,3,-]=>[2,5,4,1,3,6]=>[3,2,1]=>[2,1]=>1
[2,5,4,1,6,3]=>[2,5,4,1,6,3]=>[3,2,1]=>[2,1]=>1
[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]=>1
[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]=>3
[2,5,6,1,4,3]=>[2,5,6,1,4,3]=>[3,2,1]=>[2,1]=>1
[2,5,6,3,1,4]=>[2,5,6,3,1,4]=>[3,2,1]=>[2,1]=>1
[2,5,6,3,4,1]=>[2,5,6,3,4,1]=>[3,2,1]=>[2,1]=>1
[2,5,6,+,1,3]=>[2,5,6,4,1,3]=>[3,2,1]=>[2,1]=>1
[2,5,6,-,1,3]=>[2,5,6,4,1,3]=>[3,2,1]=>[2,1]=>1
[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
[2,6,1,3,4,5]=>[2,6,1,3,4,5]=>[4,2]=>[2]=>1
[2,6,1,3,+,4]=>[2,6,1,3,5,4]=>[3,2,1]=>[2,1]=>1
[2,6,1,3,-,4]=>[2,6,1,3,5,4]=>[3,2,1]=>[2,1]=>1
[2,6,1,+,3,5]=>[2,6,1,4,3,5]=>[3,2,1]=>[2,1]=>1
[2,6,1,-,3,5]=>[2,6,1,4,3,5]=>[3,2,1]=>[2,1]=>1
[2,6,1,+,+,3]=>[2,6,1,4,5,3]=>[3,2,1]=>[2,1]=>1
[2,6,1,-,+,3]=>[2,6,1,4,5,3]=>[3,2,1]=>[2,1]=>1
[2,6,1,+,-,3]=>[2,6,1,4,5,3]=>[3,2,1]=>[2,1]=>1
[2,6,1,-,-,3]=>[2,6,1,4,5,3]=>[3,2,1]=>[2,1]=>1
[2,6,1,5,3,4]=>[2,6,1,5,3,4]=>[3,2,1]=>[2,1]=>1
[2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[2,2,1,1]=>[2,1,1]=>1
[2,6,+,1,4,5]=>[2,6,3,1,4,5]=>[4,1,1]=>[1,1]=>0
[2,6,-,1,4,5]=>[2,6,3,1,4,5]=>[4,1,1]=>[1,1]=>0
[2,6,+,1,+,4]=>[2,6,3,1,5,4]=>[3,2,1]=>[2,1]=>1
[2,6,-,1,+,4]=>[2,6,3,1,5,4]=>[3,2,1]=>[2,1]=>1
[2,6,+,1,-,4]=>[2,6,3,1,5,4]=>[3,2,1]=>[2,1]=>1
[2,6,-,1,-,4]=>[2,6,3,1,5,4]=>[3,2,1]=>[2,1]=>1
[2,6,+,+,1,5]=>[2,6,3,4,1,5]=>[4,1,1]=>[1,1]=>0
[2,6,-,+,1,5]=>[2,6,3,4,1,5]=>[4,1,1]=>[1,1]=>0
[2,6,+,-,1,5]=>[2,6,3,4,1,5]=>[4,1,1]=>[1,1]=>0
[2,6,-,-,1,5]=>[2,6,3,4,1,5]=>[4,1,1]=>[1,1]=>0
[2,6,+,+,+,1]=>[2,6,3,4,5,1]=>[4,1,1]=>[1,1]=>0
[2,6,-,+,+,1]=>[2,6,3,4,5,1]=>[4,1,1]=>[1,1]=>0
[2,6,+,-,+,1]=>[2,6,3,4,5,1]=>[4,1,1]=>[1,1]=>0
[2,6,+,+,-,1]=>[2,6,3,4,5,1]=>[4,1,1]=>[1,1]=>0
[2,6,-,-,+,1]=>[2,6,3,4,5,1]=>[4,1,1]=>[1,1]=>0
[2,6,-,+,-,1]=>[2,6,3,4,5,1]=>[4,1,1]=>[1,1]=>0
[2,6,+,-,-,1]=>[2,6,3,4,5,1]=>[4,1,1]=>[1,1]=>0
[2,6,-,-,-,1]=>[2,6,3,4,5,1]=>[4,1,1]=>[1,1]=>0
[2,6,+,5,1,4]=>[2,6,3,5,1,4]=>[3,2,1]=>[2,1]=>1
[2,6,-,5,1,4]=>[2,6,3,5,1,4]=>[3,2,1]=>[2,1]=>1
[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]=>1
[2,6,4,1,+,3]=>[2,6,4,1,5,3]=>[3,2,1]=>[2,1]=>1
[2,6,4,1,-,3]=>[2,6,4,1,5,3]=>[3,2,1]=>[2,1]=>1
[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]=>1
[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]=>1
[2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[2,2,1,1]=>[2,1,1]=>1
[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]=>1
[2,6,5,-,1,3]=>[2,6,5,4,1,3]=>[2,2,1,1]=>[2,1,1]=>1
[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,+,6,5]=>[3,1,2,4,6,5]=>[4,2]=>[2]=>1
[3,1,2,-,6,5]=>[3,1,2,4,6,5]=>[4,2]=>[2]=>1
[3,1,2,5,4,+]=>[3,1,2,5,4,6]=>[4,2]=>[2]=>1
[3,1,2,5,4,-]=>[3,1,2,5,4,6]=>[4,2]=>[2]=>1
[3,1,2,5,6,4]=>[3,1,2,5,6,4]=>[4,2]=>[2]=>1
[3,1,2,6,4,5]=>[3,1,2,6,4,5]=>[4,2]=>[2]=>1
[3,1,2,6,+,4]=>[3,1,2,6,5,4]=>[3,2,1]=>[2,1]=>1
[3,1,2,6,-,4]=>[3,1,2,6,5,4]=>[3,2,1]=>[2,1]=>1
[3,1,4,2,+,+]=>[3,1,4,2,5,6]=>[4,2]=>[2]=>1
[3,1,4,2,-,+]=>[3,1,4,2,5,6]=>[4,2]=>[2]=>1
[3,1,4,2,+,-]=>[3,1,4,2,5,6]=>[4,2]=>[2]=>1
[3,1,4,2,-,-]=>[3,1,4,2,5,6]=>[4,2]=>[2]=>1
[3,1,4,2,6,5]=>[3,1,4,2,6,5]=>[3,3]=>[3]=>3
[3,1,4,5,2,+]=>[3,1,4,5,2,6]=>[4,2]=>[2]=>1
[3,1,4,5,2,-]=>[3,1,4,5,2,6]=>[4,2]=>[2]=>1
[3,1,4,5,6,2]=>[3,1,4,5,6,2]=>[4,2]=>[2]=>1
[3,1,4,6,2,5]=>[3,1,4,6,2,5]=>[3,3]=>[3]=>3
[3,1,4,6,+,2]=>[3,1,4,6,5,2]=>[3,2,1]=>[2,1]=>1
[3,1,4,6,-,2]=>[3,1,4,6,5,2]=>[3,2,1]=>[2,1]=>1
[3,1,5,2,4,+]=>[3,1,5,2,4,6]=>[4,2]=>[2]=>1
[3,1,5,2,4,-]=>[3,1,5,2,4,6]=>[4,2]=>[2]=>1
[3,1,5,2,6,4]=>[3,1,5,2,6,4]=>[3,3]=>[3]=>3
[3,1,5,+,2,+]=>[3,1,5,4,2,6]=>[3,2,1]=>[2,1]=>1
[3,1,5,-,2,+]=>[3,1,5,4,2,6]=>[3,2,1]=>[2,1]=>1
[3,1,5,+,2,-]=>[3,1,5,4,2,6]=>[3,2,1]=>[2,1]=>1
[3,1,5,-,2,-]=>[3,1,5,4,2,6]=>[3,2,1]=>[2,1]=>1
[3,1,5,+,6,2]=>[3,1,5,4,6,2]=>[3,2,1]=>[2,1]=>1
[3,1,5,-,6,2]=>[3,1,5,4,6,2]=>[3,2,1]=>[2,1]=>1
[3,1,5,6,2,4]=>[3,1,5,6,2,4]=>[3,3]=>[3]=>3
[3,1,5,6,4,2]=>[3,1,5,6,4,2]=>[3,2,1]=>[2,1]=>1
[3,1,6,2,4,5]=>[3,1,6,2,4,5]=>[4,2]=>[2]=>1
[3,1,6,2,+,4]=>[3,1,6,2,5,4]=>[3,2,1]=>[2,1]=>1
[3,1,6,2,-,4]=>[3,1,6,2,5,4]=>[3,2,1]=>[2,1]=>1
[3,1,6,+,2,5]=>[3,1,6,4,2,5]=>[3,2,1]=>[2,1]=>1
[3,1,6,-,2,5]=>[3,1,6,4,2,5]=>[3,2,1]=>[2,1]=>1
[3,1,6,+,+,2]=>[3,1,6,4,5,2]=>[3,2,1]=>[2,1]=>1
[3,1,6,-,+,2]=>[3,1,6,4,5,2]=>[3,2,1]=>[2,1]=>1
[3,1,6,+,-,2]=>[3,1,6,4,5,2]=>[3,2,1]=>[2,1]=>1
[3,1,6,-,-,2]=>[3,1,6,4,5,2]=>[3,2,1]=>[2,1]=>1
[3,1,6,5,2,4]=>[3,1,6,5,2,4]=>[3,2,1]=>[2,1]=>1
[3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[2,2,1,1]=>[2,1,1]=>1
[3,+,1,+,+,+]=>[3,2,1,4,5,6]=>[4,1,1]=>[1,1]=>0
[3,-,1,+,+,+]=>[3,2,1,4,5,6]=>[4,1,1]=>[1,1]=>0
[3,+,1,-,+,+]=>[3,2,1,4,5,6]=>[4,1,1]=>[1,1]=>0
[3,+,1,+,-,+]=>[3,2,1,4,5,6]=>[4,1,1]=>[1,1]=>0
[3,+,1,+,+,-]=>[3,2,1,4,5,6]=>[4,1,1]=>[1,1]=>0
[3,-,1,-,+,+]=>[3,2,1,4,5,6]=>[4,1,1]=>[1,1]=>0
[3,-,1,+,-,+]=>[3,2,1,4,5,6]=>[4,1,1]=>[1,1]=>0
[3,-,1,+,+,-]=>[3,2,1,4,5,6]=>[4,1,1]=>[1,1]=>0
[3,+,1,-,-,+]=>[3,2,1,4,5,6]=>[4,1,1]=>[1,1]=>0
[3,+,1,-,+,-]=>[3,2,1,4,5,6]=>[4,1,1]=>[1,1]=>0
[3,+,1,+,-,-]=>[3,2,1,4,5,6]=>[4,1,1]=>[1,1]=>0
[3,-,1,-,-,+]=>[3,2,1,4,5,6]=>[4,1,1]=>[1,1]=>0
[3,-,1,-,+,-]=>[3,2,1,4,5,6]=>[4,1,1]=>[1,1]=>0
[3,-,1,+,-,-]=>[3,2,1,4,5,6]=>[4,1,1]=>[1,1]=>0
[3,+,1,-,-,-]=>[3,2,1,4,5,6]=>[4,1,1]=>[1,1]=>0
[3,-,1,-,-,-]=>[3,2,1,4,5,6]=>[4,1,1]=>[1,1]=>0
[3,+,1,+,6,5]=>[3,2,1,4,6,5]=>[3,2,1]=>[2,1]=>1
[3,-,1,+,6,5]=>[3,2,1,4,6,5]=>[3,2,1]=>[2,1]=>1
[3,+,1,-,6,5]=>[3,2,1,4,6,5]=>[3,2,1]=>[2,1]=>1
[3,-,1,-,6,5]=>[3,2,1,4,6,5]=>[3,2,1]=>[2,1]=>1
[3,+,1,5,4,+]=>[3,2,1,5,4,6]=>[3,2,1]=>[2,1]=>1
[3,-,1,5,4,+]=>[3,2,1,5,4,6]=>[3,2,1]=>[2,1]=>1
[3,+,1,5,4,-]=>[3,2,1,5,4,6]=>[3,2,1]=>[2,1]=>1
[3,-,1,5,4,-]=>[3,2,1,5,4,6]=>[3,2,1]=>[2,1]=>1
[3,+,1,5,6,4]=>[3,2,1,5,6,4]=>[3,2,1]=>[2,1]=>1
[3,-,1,5,6,4]=>[3,2,1,5,6,4]=>[3,2,1]=>[2,1]=>1
[3,+,1,6,4,5]=>[3,2,1,6,4,5]=>[3,2,1]=>[2,1]=>1
[3,-,1,6,4,5]=>[3,2,1,6,4,5]=>[3,2,1]=>[2,1]=>1
[3,+,1,6,+,4]=>[3,2,1,6,5,4]=>[2,2,2]=>[2,2]=>2
[3,-,1,6,+,4]=>[3,2,1,6,5,4]=>[2,2,2]=>[2,2]=>2
[3,+,1,6,-,4]=>[3,2,1,6,5,4]=>[2,2,2]=>[2,2]=>2
[3,-,1,6,-,4]=>[3,2,1,6,5,4]=>[2,2,2]=>[2,2]=>2
[3,+,4,1,+,+]=>[3,2,4,1,5,6]=>[4,1,1]=>[1,1]=>0
[3,-,4,1,+,+]=>[3,2,4,1,5,6]=>[4,1,1]=>[1,1]=>0
[3,+,4,1,-,+]=>[3,2,4,1,5,6]=>[4,1,1]=>[1,1]=>0
[3,+,4,1,+,-]=>[3,2,4,1,5,6]=>[4,1,1]=>[1,1]=>0
[3,-,4,1,-,+]=>[3,2,4,1,5,6]=>[4,1,1]=>[1,1]=>0
[3,-,4,1,+,-]=>[3,2,4,1,5,6]=>[4,1,1]=>[1,1]=>0
[3,+,4,1,-,-]=>[3,2,4,1,5,6]=>[4,1,1]=>[1,1]=>0
[3,-,4,1,-,-]=>[3,2,4,1,5,6]=>[4,1,1]=>[1,1]=>0
[3,+,4,1,6,5]=>[3,2,4,1,6,5]=>[3,2,1]=>[2,1]=>1
[3,-,4,1,6,5]=>[3,2,4,1,6,5]=>[3,2,1]=>[2,1]=>1
[3,+,4,5,1,+]=>[3,2,4,5,1,6]=>[4,1,1]=>[1,1]=>0
[3,-,4,5,1,+]=>[3,2,4,5,1,6]=>[4,1,1]=>[1,1]=>0
[3,+,4,5,1,-]=>[3,2,4,5,1,6]=>[4,1,1]=>[1,1]=>0
[3,-,4,5,1,-]=>[3,2,4,5,1,6]=>[4,1,1]=>[1,1]=>0
[3,+,4,5,6,1]=>[3,2,4,5,6,1]=>[4,1,1]=>[1,1]=>0
[3,-,4,5,6,1]=>[3,2,4,5,6,1]=>[4,1,1]=>[1,1]=>0
[3,+,4,6,1,5]=>[3,2,4,6,1,5]=>[3,2,1]=>[2,1]=>1
[3,-,4,6,1,5]=>[3,2,4,6,1,5]=>[3,2,1]=>[2,1]=>1
[3,+,4,6,+,1]=>[3,2,4,6,5,1]=>[3,2,1]=>[2,1]=>1
[3,-,4,6,+,1]=>[3,2,4,6,5,1]=>[3,2,1]=>[2,1]=>1
[3,+,4,6,-,1]=>[3,2,4,6,5,1]=>[3,2,1]=>[2,1]=>1
[3,-,4,6,-,1]=>[3,2,4,6,5,1]=>[3,2,1]=>[2,1]=>1
[3,+,5,1,4,+]=>[3,2,5,1,4,6]=>[3,2,1]=>[2,1]=>1
[3,-,5,1,4,+]=>[3,2,5,1,4,6]=>[3,2,1]=>[2,1]=>1
[3,+,5,1,4,-]=>[3,2,5,1,4,6]=>[3,2,1]=>[2,1]=>1
[3,-,5,1,4,-]=>[3,2,5,1,4,6]=>[3,2,1]=>[2,1]=>1
[3,+,5,1,6,4]=>[3,2,5,1,6,4]=>[3,2,1]=>[2,1]=>1
[3,-,5,1,6,4]=>[3,2,5,1,6,4]=>[3,2,1]=>[2,1]=>1
[3,+,5,+,1,+]=>[3,2,5,4,1,6]=>[3,2,1]=>[2,1]=>1
[3,-,5,+,1,+]=>[3,2,5,4,1,6]=>[3,2,1]=>[2,1]=>1
[3,+,5,-,1,+]=>[3,2,5,4,1,6]=>[3,2,1]=>[2,1]=>1
[3,+,5,+,1,-]=>[3,2,5,4,1,6]=>[3,2,1]=>[2,1]=>1
[3,-,5,-,1,+]=>[3,2,5,4,1,6]=>[3,2,1]=>[2,1]=>1
[3,-,5,+,1,-]=>[3,2,5,4,1,6]=>[3,2,1]=>[2,1]=>1
[3,+,5,-,1,-]=>[3,2,5,4,1,6]=>[3,2,1]=>[2,1]=>1
[3,-,5,-,1,-]=>[3,2,5,4,1,6]=>[3,2,1]=>[2,1]=>1
[3,+,5,+,6,1]=>[3,2,5,4,6,1]=>[3,2,1]=>[2,1]=>1
[3,-,5,+,6,1]=>[3,2,5,4,6,1]=>[3,2,1]=>[2,1]=>1
[3,+,5,-,6,1]=>[3,2,5,4,6,1]=>[3,2,1]=>[2,1]=>1
[3,-,5,-,6,1]=>[3,2,5,4,6,1]=>[3,2,1]=>[2,1]=>1
[3,+,5,6,1,4]=>[3,2,5,6,1,4]=>[3,2,1]=>[2,1]=>1
[3,-,5,6,1,4]=>[3,2,5,6,1,4]=>[3,2,1]=>[2,1]=>1
[3,+,5,6,4,1]=>[3,2,5,6,4,1]=>[3,2,1]=>[2,1]=>1
[3,-,5,6,4,1]=>[3,2,5,6,4,1]=>[3,2,1]=>[2,1]=>1
[3,+,6,1,4,5]=>[3,2,6,1,4,5]=>[3,2,1]=>[2,1]=>1
[3,-,6,1,4,5]=>[3,2,6,1,4,5]=>[3,2,1]=>[2,1]=>1
[3,+,6,1,+,4]=>[3,2,6,1,5,4]=>[2,2,2]=>[2,2]=>2
[3,-,6,1,+,4]=>[3,2,6,1,5,4]=>[2,2,2]=>[2,2]=>2
[3,+,6,1,-,4]=>[3,2,6,1,5,4]=>[2,2,2]=>[2,2]=>2
[3,-,6,1,-,4]=>[3,2,6,1,5,4]=>[2,2,2]=>[2,2]=>2
[3,+,6,+,1,5]=>[3,2,6,4,1,5]=>[3,2,1]=>[2,1]=>1
[3,-,6,+,1,5]=>[3,2,6,4,1,5]=>[3,2,1]=>[2,1]=>1
[3,+,6,-,1,5]=>[3,2,6,4,1,5]=>[3,2,1]=>[2,1]=>1
[3,-,6,-,1,5]=>[3,2,6,4,1,5]=>[3,2,1]=>[2,1]=>1
[3,+,6,+,+,1]=>[3,2,6,4,5,1]=>[3,2,1]=>[2,1]=>1
[3,-,6,+,+,1]=>[3,2,6,4,5,1]=>[3,2,1]=>[2,1]=>1
[3,+,6,-,+,1]=>[3,2,6,4,5,1]=>[3,2,1]=>[2,1]=>1
[3,+,6,+,-,1]=>[3,2,6,4,5,1]=>[3,2,1]=>[2,1]=>1
[3,-,6,-,+,1]=>[3,2,6,4,5,1]=>[3,2,1]=>[2,1]=>1
[3,-,6,+,-,1]=>[3,2,6,4,5,1]=>[3,2,1]=>[2,1]=>1
[3,+,6,-,-,1]=>[3,2,6,4,5,1]=>[3,2,1]=>[2,1]=>1
[3,-,6,-,-,1]=>[3,2,6,4,5,1]=>[3,2,1]=>[2,1]=>1
[3,+,6,5,1,4]=>[3,2,6,5,1,4]=>[2,2,2]=>[2,2]=>2
[3,-,6,5,1,4]=>[3,2,6,5,1,4]=>[2,2,2]=>[2,2]=>2
[3,+,6,5,4,1]=>[3,2,6,5,4,1]=>[2,2,1,1]=>[2,1,1]=>1
[3,-,6,5,4,1]=>[3,2,6,5,4,1]=>[2,2,1,1]=>[2,1,1]=>1
[3,4,1,2,+,+]=>[3,4,1,2,5,6]=>[4,2]=>[2]=>1
[3,4,1,2,-,+]=>[3,4,1,2,5,6]=>[4,2]=>[2]=>1
[3,4,1,2,+,-]=>[3,4,1,2,5,6]=>[4,2]=>[2]=>1
[3,4,1,2,-,-]=>[3,4,1,2,5,6]=>[4,2]=>[2]=>1
[3,4,1,2,6,5]=>[3,4,1,2,6,5]=>[3,3]=>[3]=>3
[3,4,1,5,2,+]=>[3,4,1,5,2,6]=>[4,2]=>[2]=>1
[3,4,1,5,2,-]=>[3,4,1,5,2,6]=>[4,2]=>[2]=>1
[3,4,1,5,6,2]=>[3,4,1,5,6,2]=>[4,2]=>[2]=>1
[3,4,1,6,2,5]=>[3,4,1,6,2,5]=>[3,3]=>[3]=>3
[3,4,1,6,+,2]=>[3,4,1,6,5,2]=>[3,2,1]=>[2,1]=>1
[3,4,1,6,-,2]=>[3,4,1,6,5,2]=>[3,2,1]=>[2,1]=>1
[3,4,2,1,+,+]=>[3,4,2,1,5,6]=>[4,1,1]=>[1,1]=>0
[3,4,2,1,-,+]=>[3,4,2,1,5,6]=>[4,1,1]=>[1,1]=>0
[3,4,2,1,+,-]=>[3,4,2,1,5,6]=>[4,1,1]=>[1,1]=>0
[3,4,2,1,-,-]=>[3,4,2,1,5,6]=>[4,1,1]=>[1,1]=>0
[3,4,2,1,6,5]=>[3,4,2,1,6,5]=>[3,2,1]=>[2,1]=>1
[3,4,2,5,1,+]=>[3,4,2,5,1,6]=>[4,1,1]=>[1,1]=>0
[3,4,2,5,1,-]=>[3,4,2,5,1,6]=>[4,1,1]=>[1,1]=>0
[3,4,2,5,6,1]=>[3,4,2,5,6,1]=>[4,1,1]=>[1,1]=>0
[3,4,2,6,1,5]=>[3,4,2,6,1,5]=>[3,2,1]=>[2,1]=>1
[3,4,2,6,+,1]=>[3,4,2,6,5,1]=>[3,2,1]=>[2,1]=>1
[3,4,2,6,-,1]=>[3,4,2,6,5,1]=>[3,2,1]=>[2,1]=>1
[3,4,5,1,2,+]=>[3,4,5,1,2,6]=>[4,2]=>[2]=>1
[3,4,5,1,2,-]=>[3,4,5,1,2,6]=>[4,2]=>[2]=>1
[3,4,5,1,6,2]=>[3,4,5,1,6,2]=>[4,2]=>[2]=>1
[3,4,5,2,1,+]=>[3,4,5,2,1,6]=>[4,1,1]=>[1,1]=>0
[3,4,5,2,1,-]=>[3,4,5,2,1,6]=>[4,1,1]=>[1,1]=>0
[3,4,5,2,6,1]=>[3,4,5,2,6,1]=>[4,1,1]=>[1,1]=>0
[3,4,5,6,1,2]=>[3,4,5,6,1,2]=>[4,2]=>[2]=>1
[3,4,5,6,2,1]=>[3,4,5,6,2,1]=>[4,1,1]=>[1,1]=>0
[3,4,6,1,2,5]=>[3,4,6,1,2,5]=>[3,3]=>[3]=>3
[3,4,6,1,+,2]=>[3,4,6,1,5,2]=>[3,2,1]=>[2,1]=>1
[3,4,6,1,-,2]=>[3,4,6,1,5,2]=>[3,2,1]=>[2,1]=>1
[3,4,6,2,1,5]=>[3,4,6,2,1,5]=>[3,2,1]=>[2,1]=>1
[3,4,6,2,+,1]=>[3,4,6,2,5,1]=>[3,2,1]=>[2,1]=>1
[3,4,6,2,-,1]=>[3,4,6,2,5,1]=>[3,2,1]=>[2,1]=>1
[3,4,6,5,1,2]=>[3,4,6,5,1,2]=>[3,2,1]=>[2,1]=>1
[3,4,6,5,2,1]=>[3,4,6,5,2,1]=>[3,1,1,1]=>[1,1,1]=>0
[3,5,1,2,4,+]=>[3,5,1,2,4,6]=>[4,2]=>[2]=>1
[3,5,1,2,4,-]=>[3,5,1,2,4,6]=>[4,2]=>[2]=>1
[3,5,1,2,6,4]=>[3,5,1,2,6,4]=>[3,3]=>[3]=>3
[3,5,1,+,2,+]=>[3,5,1,4,2,6]=>[3,2,1]=>[2,1]=>1
[3,5,1,-,2,+]=>[3,5,1,4,2,6]=>[3,2,1]=>[2,1]=>1
[3,5,1,+,2,-]=>[3,5,1,4,2,6]=>[3,2,1]=>[2,1]=>1
[3,5,1,-,2,-]=>[3,5,1,4,2,6]=>[3,2,1]=>[2,1]=>1
[3,5,1,+,6,2]=>[3,5,1,4,6,2]=>[3,2,1]=>[2,1]=>1
[3,5,1,-,6,2]=>[3,5,1,4,6,2]=>[3,2,1]=>[2,1]=>1
[3,5,1,6,2,4]=>[3,5,1,6,2,4]=>[3,3]=>[3]=>3
[3,5,1,6,4,2]=>[3,5,1,6,4,2]=>[3,2,1]=>[2,1]=>1
[3,5,2,1,4,+]=>[3,5,2,1,4,6]=>[3,2,1]=>[2,1]=>1
[3,5,2,1,4,-]=>[3,5,2,1,4,6]=>[3,2,1]=>[2,1]=>1
[3,5,2,1,6,4]=>[3,5,2,1,6,4]=>[3,2,1]=>[2,1]=>1
[3,5,2,+,1,+]=>[3,5,2,4,1,6]=>[3,2,1]=>[2,1]=>1
[3,5,2,-,1,+]=>[3,5,2,4,1,6]=>[3,2,1]=>[2,1]=>1
[3,5,2,+,1,-]=>[3,5,2,4,1,6]=>[3,2,1]=>[2,1]=>1
[3,5,2,-,1,-]=>[3,5,2,4,1,6]=>[3,2,1]=>[2,1]=>1
[3,5,2,+,6,1]=>[3,5,2,4,6,1]=>[3,2,1]=>[2,1]=>1
[3,5,2,-,6,1]=>[3,5,2,4,6,1]=>[3,2,1]=>[2,1]=>1
[3,5,2,6,1,4]=>[3,5,2,6,1,4]=>[3,2,1]=>[2,1]=>1
[3,5,2,6,4,1]=>[3,5,2,6,4,1]=>[3,2,1]=>[2,1]=>1
[3,5,4,1,2,+]=>[3,5,4,1,2,6]=>[3,2,1]=>[2,1]=>1
[3,5,4,1,2,-]=>[3,5,4,1,2,6]=>[3,2,1]=>[2,1]=>1
[3,5,4,1,6,2]=>[3,5,4,1,6,2]=>[3,2,1]=>[2,1]=>1
[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]=>1
[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]=>3
[3,5,6,1,4,2]=>[3,5,6,1,4,2]=>[3,2,1]=>[2,1]=>1
[3,5,6,2,1,4]=>[3,5,6,2,1,4]=>[3,2,1]=>[2,1]=>1
[3,5,6,2,4,1]=>[3,5,6,2,4,1]=>[3,2,1]=>[2,1]=>1
[3,5,6,+,1,2]=>[3,5,6,4,1,2]=>[3,2,1]=>[2,1]=>1
[3,5,6,-,1,2]=>[3,5,6,4,1,2]=>[3,2,1]=>[2,1]=>1
[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
[3,6,1,2,4,5]=>[3,6,1,2,4,5]=>[4,2]=>[2]=>1
[3,6,1,2,+,4]=>[3,6,1,2,5,4]=>[3,2,1]=>[2,1]=>1
[3,6,1,2,-,4]=>[3,6,1,2,5,4]=>[3,2,1]=>[2,1]=>1
[3,6,1,+,2,5]=>[3,6,1,4,2,5]=>[3,2,1]=>[2,1]=>1
[3,6,1,-,2,5]=>[3,6,1,4,2,5]=>[3,2,1]=>[2,1]=>1
[3,6,1,+,+,2]=>[3,6,1,4,5,2]=>[3,2,1]=>[2,1]=>1
[3,6,1,-,+,2]=>[3,6,1,4,5,2]=>[3,2,1]=>[2,1]=>1
[3,6,1,+,-,2]=>[3,6,1,4,5,2]=>[3,2,1]=>[2,1]=>1
[3,6,1,-,-,2]=>[3,6,1,4,5,2]=>[3,2,1]=>[2,1]=>1
[3,6,1,5,2,4]=>[3,6,1,5,2,4]=>[3,2,1]=>[2,1]=>1
[3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[2,2,1,1]=>[2,1,1]=>1
[3,6,2,1,4,5]=>[3,6,2,1,4,5]=>[3,2,1]=>[2,1]=>1
[3,6,2,1,+,4]=>[3,6,2,1,5,4]=>[2,2,2]=>[2,2]=>2
[3,6,2,1,-,4]=>[3,6,2,1,5,4]=>[2,2,2]=>[2,2]=>2
[3,6,2,+,1,5]=>[3,6,2,4,1,5]=>[3,2,1]=>[2,1]=>1
[3,6,2,-,1,5]=>[3,6,2,4,1,5]=>[3,2,1]=>[2,1]=>1
[3,6,2,+,+,1]=>[3,6,2,4,5,1]=>[3,2,1]=>[2,1]=>1
[3,6,2,-,+,1]=>[3,6,2,4,5,1]=>[3,2,1]=>[2,1]=>1
[3,6,2,+,-,1]=>[3,6,2,4,5,1]=>[3,2,1]=>[2,1]=>1
[3,6,2,-,-,1]=>[3,6,2,4,5,1]=>[3,2,1]=>[2,1]=>1
[3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[2,2,2]=>[2,2]=>2
[3,6,2,5,4,1]=>[3,6,2,5,4,1]=>[2,2,1,1]=>[2,1,1]=>1
[3,6,4,1,2,5]=>[3,6,4,1,2,5]=>[3,2,1]=>[2,1]=>1
[3,6,4,1,+,2]=>[3,6,4,1,5,2]=>[3,2,1]=>[2,1]=>1
[3,6,4,1,-,2]=>[3,6,4,1,5,2]=>[3,2,1]=>[2,1]=>1
[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]=>1
[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]=>1
[3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[2,2,1,1]=>[2,1,1]=>1
[3,6,5,2,1,4]=>[3,6,5,2,1,4]=>[2,2,1,1]=>[2,1,1]=>1
[3,6,5,2,4,1]=>[3,6,5,2,4,1]=>[2,2,1,1]=>[2,1,1]=>1
[3,6,5,+,1,2]=>[3,6,5,4,1,2]=>[2,2,1,1]=>[2,1,1]=>1
[3,6,5,-,1,2]=>[3,6,5,4,1,2]=>[2,2,1,1]=>[2,1,1]=>1
[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
[4,1,2,3,6,5]=>[4,1,2,3,6,5]=>[4,2]=>[2]=>1
[4,1,2,5,3,+]=>[4,1,2,5,3,6]=>[4,2]=>[2]=>1
[4,1,2,5,3,-]=>[4,1,2,5,3,6]=>[4,2]=>[2]=>1
[4,1,2,5,6,3]=>[4,1,2,5,6,3]=>[4,2]=>[2]=>1
[4,1,2,6,3,5]=>[4,1,2,6,3,5]=>[4,2]=>[2]=>1
[4,1,2,6,+,3]=>[4,1,2,6,5,3]=>[3,2,1]=>[2,1]=>1
[4,1,2,6,-,3]=>[4,1,2,6,5,3]=>[3,2,1]=>[2,1]=>1
[4,1,+,2,+,+]=>[4,1,3,2,5,6]=>[4,1,1]=>[1,1]=>0
[4,1,-,2,+,+]=>[4,1,3,2,5,6]=>[4,1,1]=>[1,1]=>0
[4,1,+,2,-,+]=>[4,1,3,2,5,6]=>[4,1,1]=>[1,1]=>0
[4,1,+,2,+,-]=>[4,1,3,2,5,6]=>[4,1,1]=>[1,1]=>0
[4,1,-,2,-,+]=>[4,1,3,2,5,6]=>[4,1,1]=>[1,1]=>0
[4,1,-,2,+,-]=>[4,1,3,2,5,6]=>[4,1,1]=>[1,1]=>0
[4,1,+,2,-,-]=>[4,1,3,2,5,6]=>[4,1,1]=>[1,1]=>0
[4,1,-,2,-,-]=>[4,1,3,2,5,6]=>[4,1,1]=>[1,1]=>0
[4,1,+,2,6,5]=>[4,1,3,2,6,5]=>[3,2,1]=>[2,1]=>1
[4,1,-,2,6,5]=>[4,1,3,2,6,5]=>[3,2,1]=>[2,1]=>1
[4,1,+,5,2,+]=>[4,1,3,5,2,6]=>[4,1,1]=>[1,1]=>0
[4,1,-,5,2,+]=>[4,1,3,5,2,6]=>[4,1,1]=>[1,1]=>0
[4,1,+,5,2,-]=>[4,1,3,5,2,6]=>[4,1,1]=>[1,1]=>0
[4,1,-,5,2,-]=>[4,1,3,5,2,6]=>[4,1,1]=>[1,1]=>0
[4,1,+,5,6,2]=>[4,1,3,5,6,2]=>[4,1,1]=>[1,1]=>0
[4,1,-,5,6,2]=>[4,1,3,5,6,2]=>[4,1,1]=>[1,1]=>0
[4,1,+,6,2,5]=>[4,1,3,6,2,5]=>[3,2,1]=>[2,1]=>1
[4,1,-,6,2,5]=>[4,1,3,6,2,5]=>[3,2,1]=>[2,1]=>1
[4,1,+,6,+,2]=>[4,1,3,6,5,2]=>[3,2,1]=>[2,1]=>1
[4,1,-,6,+,2]=>[4,1,3,6,5,2]=>[3,2,1]=>[2,1]=>1
[4,1,+,6,-,2]=>[4,1,3,6,5,2]=>[3,2,1]=>[2,1]=>1
[4,1,-,6,-,2]=>[4,1,3,6,5,2]=>[3,2,1]=>[2,1]=>1
[4,1,5,2,3,+]=>[4,1,5,2,3,6]=>[4,2]=>[2]=>1
[4,1,5,2,3,-]=>[4,1,5,2,3,6]=>[4,2]=>[2]=>1
[4,1,5,2,6,3]=>[4,1,5,2,6,3]=>[3,3]=>[3]=>3
[4,1,5,3,2,+]=>[4,1,5,3,2,6]=>[3,2,1]=>[2,1]=>1
[4,1,5,3,2,-]=>[4,1,5,3,2,6]=>[3,2,1]=>[2,1]=>1
[4,1,5,3,6,2]=>[4,1,5,3,6,2]=>[3,2,1]=>[2,1]=>1
[4,1,5,6,2,3]=>[4,1,5,6,2,3]=>[3,3]=>[3]=>3
[4,1,5,6,3,2]=>[4,1,5,6,3,2]=>[3,2,1]=>[2,1]=>1
[4,1,6,2,3,5]=>[4,1,6,2,3,5]=>[4,2]=>[2]=>1
[4,1,6,2,+,3]=>[4,1,6,2,5,3]=>[3,2,1]=>[2,1]=>1
[4,1,6,2,-,3]=>[4,1,6,2,5,3]=>[3,2,1]=>[2,1]=>1
[4,1,6,3,2,5]=>[4,1,6,3,2,5]=>[3,2,1]=>[2,1]=>1
[4,1,6,3,+,2]=>[4,1,6,3,5,2]=>[3,2,1]=>[2,1]=>1
[4,1,6,3,-,2]=>[4,1,6,3,5,2]=>[3,2,1]=>[2,1]=>1
[4,1,6,5,2,3]=>[4,1,6,5,2,3]=>[3,2,1]=>[2,1]=>1
[4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[2,2,1,1]=>[2,1,1]=>1
[4,+,1,3,+,+]=>[4,2,1,3,5,6]=>[4,1,1]=>[1,1]=>0
[4,-,1,3,+,+]=>[4,2,1,3,5,6]=>[4,1,1]=>[1,1]=>0
[4,+,1,3,-,+]=>[4,2,1,3,5,6]=>[4,1,1]=>[1,1]=>0
[4,+,1,3,+,-]=>[4,2,1,3,5,6]=>[4,1,1]=>[1,1]=>0
[4,-,1,3,-,+]=>[4,2,1,3,5,6]=>[4,1,1]=>[1,1]=>0
[4,-,1,3,+,-]=>[4,2,1,3,5,6]=>[4,1,1]=>[1,1]=>0
[4,+,1,3,-,-]=>[4,2,1,3,5,6]=>[4,1,1]=>[1,1]=>0
[4,-,1,3,-,-]=>[4,2,1,3,5,6]=>[4,1,1]=>[1,1]=>0
[4,+,1,3,6,5]=>[4,2,1,3,6,5]=>[3,2,1]=>[2,1]=>1
[4,-,1,3,6,5]=>[4,2,1,3,6,5]=>[3,2,1]=>[2,1]=>1
[4,+,1,5,3,+]=>[4,2,1,5,3,6]=>[3,2,1]=>[2,1]=>1
[4,-,1,5,3,+]=>[4,2,1,5,3,6]=>[3,2,1]=>[2,1]=>1
[4,+,1,5,3,-]=>[4,2,1,5,3,6]=>[3,2,1]=>[2,1]=>1
[4,-,1,5,3,-]=>[4,2,1,5,3,6]=>[3,2,1]=>[2,1]=>1
[4,+,1,5,6,3]=>[4,2,1,5,6,3]=>[3,2,1]=>[2,1]=>1
[4,-,1,5,6,3]=>[4,2,1,5,6,3]=>[3,2,1]=>[2,1]=>1
[4,+,1,6,3,5]=>[4,2,1,6,3,5]=>[3,2,1]=>[2,1]=>1
[4,-,1,6,3,5]=>[4,2,1,6,3,5]=>[3,2,1]=>[2,1]=>1
[4,+,1,6,+,3]=>[4,2,1,6,5,3]=>[2,2,2]=>[2,2]=>2
[4,-,1,6,+,3]=>[4,2,1,6,5,3]=>[2,2,2]=>[2,2]=>2
[4,+,1,6,-,3]=>[4,2,1,6,5,3]=>[2,2,2]=>[2,2]=>2
[4,-,1,6,-,3]=>[4,2,1,6,5,3]=>[2,2,2]=>[2,2]=>2
[4,+,+,1,+,+]=>[4,2,3,1,5,6]=>[4,1,1]=>[1,1]=>0
[4,-,+,1,+,+]=>[4,2,3,1,5,6]=>[4,1,1]=>[1,1]=>0
[4,+,-,1,+,+]=>[4,2,3,1,5,6]=>[4,1,1]=>[1,1]=>0
[4,+,+,1,-,+]=>[4,2,3,1,5,6]=>[4,1,1]=>[1,1]=>0
[4,+,+,1,+,-]=>[4,2,3,1,5,6]=>[4,1,1]=>[1,1]=>0
[4,-,-,1,+,+]=>[4,2,3,1,5,6]=>[4,1,1]=>[1,1]=>0
[4,-,+,1,-,+]=>[4,2,3,1,5,6]=>[4,1,1]=>[1,1]=>0
[4,-,+,1,+,-]=>[4,2,3,1,5,6]=>[4,1,1]=>[1,1]=>0
[4,+,-,1,-,+]=>[4,2,3,1,5,6]=>[4,1,1]=>[1,1]=>0
[4,+,-,1,+,-]=>[4,2,3,1,5,6]=>[4,1,1]=>[1,1]=>0
[4,+,+,1,-,-]=>[4,2,3,1,5,6]=>[4,1,1]=>[1,1]=>0
[4,-,-,1,-,+]=>[4,2,3,1,5,6]=>[4,1,1]=>[1,1]=>0
[4,-,-,1,+,-]=>[4,2,3,1,5,6]=>[4,1,1]=>[1,1]=>0
[4,-,+,1,-,-]=>[4,2,3,1,5,6]=>[4,1,1]=>[1,1]=>0
[4,+,-,1,-,-]=>[4,2,3,1,5,6]=>[4,1,1]=>[1,1]=>0
[4,-,-,1,-,-]=>[4,2,3,1,5,6]=>[4,1,1]=>[1,1]=>0
[4,+,+,1,6,5]=>[4,2,3,1,6,5]=>[3,2,1]=>[2,1]=>1
[4,-,+,1,6,5]=>[4,2,3,1,6,5]=>[3,2,1]=>[2,1]=>1
[4,+,-,1,6,5]=>[4,2,3,1,6,5]=>[3,2,1]=>[2,1]=>1
[4,-,-,1,6,5]=>[4,2,3,1,6,5]=>[3,2,1]=>[2,1]=>1
[4,+,+,5,1,+]=>[4,2,3,5,1,6]=>[4,1,1]=>[1,1]=>0
[4,-,+,5,1,+]=>[4,2,3,5,1,6]=>[4,1,1]=>[1,1]=>0
[4,+,-,5,1,+]=>[4,2,3,5,1,6]=>[4,1,1]=>[1,1]=>0
[4,+,+,5,1,-]=>[4,2,3,5,1,6]=>[4,1,1]=>[1,1]=>0
[4,-,-,5,1,+]=>[4,2,3,5,1,6]=>[4,1,1]=>[1,1]=>0
[4,-,+,5,1,-]=>[4,2,3,5,1,6]=>[4,1,1]=>[1,1]=>0
[4,+,-,5,1,-]=>[4,2,3,5,1,6]=>[4,1,1]=>[1,1]=>0
[4,-,-,5,1,-]=>[4,2,3,5,1,6]=>[4,1,1]=>[1,1]=>0
[4,+,+,5,6,1]=>[4,2,3,5,6,1]=>[4,1,1]=>[1,1]=>0
[4,-,+,5,6,1]=>[4,2,3,5,6,1]=>[4,1,1]=>[1,1]=>0
[4,+,-,5,6,1]=>[4,2,3,5,6,1]=>[4,1,1]=>[1,1]=>0
[4,-,-,5,6,1]=>[4,2,3,5,6,1]=>[4,1,1]=>[1,1]=>0
[4,+,+,6,1,5]=>[4,2,3,6,1,5]=>[3,2,1]=>[2,1]=>1
[4,-,+,6,1,5]=>[4,2,3,6,1,5]=>[3,2,1]=>[2,1]=>1
[4,+,-,6,1,5]=>[4,2,3,6,1,5]=>[3,2,1]=>[2,1]=>1
[4,-,-,6,1,5]=>[4,2,3,6,1,5]=>[3,2,1]=>[2,1]=>1
[4,+,+,6,+,1]=>[4,2,3,6,5,1]=>[3,2,1]=>[2,1]=>1
[4,-,+,6,+,1]=>[4,2,3,6,5,1]=>[3,2,1]=>[2,1]=>1
[4,+,-,6,+,1]=>[4,2,3,6,5,1]=>[3,2,1]=>[2,1]=>1
[4,+,+,6,-,1]=>[4,2,3,6,5,1]=>[3,2,1]=>[2,1]=>1
[4,-,-,6,+,1]=>[4,2,3,6,5,1]=>[3,2,1]=>[2,1]=>1
[4,-,+,6,-,1]=>[4,2,3,6,5,1]=>[3,2,1]=>[2,1]=>1
[4,+,-,6,-,1]=>[4,2,3,6,5,1]=>[3,2,1]=>[2,1]=>1
[4,-,-,6,-,1]=>[4,2,3,6,5,1]=>[3,2,1]=>[2,1]=>1
[4,+,5,1,3,+]=>[4,2,5,1,3,6]=>[3,2,1]=>[2,1]=>1
[4,-,5,1,3,+]=>[4,2,5,1,3,6]=>[3,2,1]=>[2,1]=>1
[4,+,5,1,3,-]=>[4,2,5,1,3,6]=>[3,2,1]=>[2,1]=>1
[4,-,5,1,3,-]=>[4,2,5,1,3,6]=>[3,2,1]=>[2,1]=>1
[4,+,5,1,6,3]=>[4,2,5,1,6,3]=>[3,2,1]=>[2,1]=>1
[4,-,5,1,6,3]=>[4,2,5,1,6,3]=>[3,2,1]=>[2,1]=>1
[4,+,5,3,1,+]=>[4,2,5,3,1,6]=>[3,2,1]=>[2,1]=>1
[4,-,5,3,1,+]=>[4,2,5,3,1,6]=>[3,2,1]=>[2,1]=>1
[4,+,5,3,1,-]=>[4,2,5,3,1,6]=>[3,2,1]=>[2,1]=>1
[4,-,5,3,1,-]=>[4,2,5,3,1,6]=>[3,2,1]=>[2,1]=>1
[4,+,5,3,6,1]=>[4,2,5,3,6,1]=>[3,2,1]=>[2,1]=>1
[4,-,5,3,6,1]=>[4,2,5,3,6,1]=>[3,2,1]=>[2,1]=>1
[4,+,5,6,1,3]=>[4,2,5,6,1,3]=>[3,2,1]=>[2,1]=>1
[4,-,5,6,1,3]=>[4,2,5,6,1,3]=>[3,2,1]=>[2,1]=>1
[4,+,5,6,3,1]=>[4,2,5,6,3,1]=>[3,2,1]=>[2,1]=>1
[4,-,5,6,3,1]=>[4,2,5,6,3,1]=>[3,2,1]=>[2,1]=>1
[4,+,6,1,3,5]=>[4,2,6,1,3,5]=>[3,2,1]=>[2,1]=>1
[4,-,6,1,3,5]=>[4,2,6,1,3,5]=>[3,2,1]=>[2,1]=>1
[4,+,6,1,+,3]=>[4,2,6,1,5,3]=>[2,2,2]=>[2,2]=>2
[4,-,6,1,+,3]=>[4,2,6,1,5,3]=>[2,2,2]=>[2,2]=>2
[4,+,6,1,-,3]=>[4,2,6,1,5,3]=>[2,2,2]=>[2,2]=>2
[4,-,6,1,-,3]=>[4,2,6,1,5,3]=>[2,2,2]=>[2,2]=>2
[4,+,6,3,1,5]=>[4,2,6,3,1,5]=>[3,2,1]=>[2,1]=>1
[4,-,6,3,1,5]=>[4,2,6,3,1,5]=>[3,2,1]=>[2,1]=>1
[4,+,6,3,+,1]=>[4,2,6,3,5,1]=>[3,2,1]=>[2,1]=>1
[4,-,6,3,+,1]=>[4,2,6,3,5,1]=>[3,2,1]=>[2,1]=>1
[4,+,6,3,-,1]=>[4,2,6,3,5,1]=>[3,2,1]=>[2,1]=>1
[4,-,6,3,-,1]=>[4,2,6,3,5,1]=>[3,2,1]=>[2,1]=>1
[4,+,6,5,1,3]=>[4,2,6,5,1,3]=>[2,2,2]=>[2,2]=>2
[4,-,6,5,1,3]=>[4,2,6,5,1,3]=>[2,2,2]=>[2,2]=>2
[4,+,6,5,3,1]=>[4,2,6,5,3,1]=>[2,2,1,1]=>[2,1,1]=>1
[4,-,6,5,3,1]=>[4,2,6,5,3,1]=>[2,2,1,1]=>[2,1,1]=>1
[4,3,1,2,+,+]=>[4,3,1,2,5,6]=>[4,1,1]=>[1,1]=>0
[4,3,1,2,-,+]=>[4,3,1,2,5,6]=>[4,1,1]=>[1,1]=>0
[4,3,1,2,+,-]=>[4,3,1,2,5,6]=>[4,1,1]=>[1,1]=>0
[4,3,1,2,-,-]=>[4,3,1,2,5,6]=>[4,1,1]=>[1,1]=>0
[4,3,1,2,6,5]=>[4,3,1,2,6,5]=>[3,2,1]=>[2,1]=>1
[4,3,1,5,2,+]=>[4,3,1,5,2,6]=>[3,2,1]=>[2,1]=>1
[4,3,1,5,2,-]=>[4,3,1,5,2,6]=>[3,2,1]=>[2,1]=>1
[4,3,1,5,6,2]=>[4,3,1,5,6,2]=>[3,2,1]=>[2,1]=>1
[4,3,1,6,2,5]=>[4,3,1,6,2,5]=>[3,2,1]=>[2,1]=>1
[4,3,1,6,+,2]=>[4,3,1,6,5,2]=>[2,2,2]=>[2,2]=>2
[4,3,1,6,-,2]=>[4,3,1,6,5,2]=>[2,2,2]=>[2,2]=>2
[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]=>1
[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]=>1
[4,3,2,6,+,1]=>[4,3,2,6,5,1]=>[2,2,1,1]=>[2,1,1]=>1
[4,3,2,6,-,1]=>[4,3,2,6,5,1]=>[2,2,1,1]=>[2,1,1]=>1
[4,3,5,1,2,+]=>[4,3,5,1,2,6]=>[3,2,1]=>[2,1]=>1
[4,3,5,1,2,-]=>[4,3,5,1,2,6]=>[3,2,1]=>[2,1]=>1
[4,3,5,1,6,2]=>[4,3,5,1,6,2]=>[3,2,1]=>[2,1]=>1
[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]=>1
[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]=>1
[4,3,6,1,+,2]=>[4,3,6,1,5,2]=>[2,2,2]=>[2,2]=>2
[4,3,6,1,-,2]=>[4,3,6,1,5,2]=>[2,2,2]=>[2,2]=>2
[4,3,6,2,1,5]=>[4,3,6,2,1,5]=>[2,2,1,1]=>[2,1,1]=>1
[4,3,6,2,+,1]=>[4,3,6,2,5,1]=>[2,2,1,1]=>[2,1,1]=>1
[4,3,6,2,-,1]=>[4,3,6,2,5,1]=>[2,2,1,1]=>[2,1,1]=>1
[4,3,6,5,1,2]=>[4,3,6,5,1,2]=>[2,2,2]=>[2,2]=>2
[4,3,6,5,2,1]=>[4,3,6,5,2,1]=>[2,2,1,1]=>[2,1,1]=>1
[4,5,1,2,3,+]=>[4,5,1,2,3,6]=>[4,2]=>[2]=>1
[4,5,1,2,3,-]=>[4,5,1,2,3,6]=>[4,2]=>[2]=>1
[4,5,1,2,6,3]=>[4,5,1,2,6,3]=>[3,3]=>[3]=>3
[4,5,1,3,2,+]=>[4,5,1,3,2,6]=>[3,2,1]=>[2,1]=>1
[4,5,1,3,2,-]=>[4,5,1,3,2,6]=>[3,2,1]=>[2,1]=>1
[4,5,1,3,6,2]=>[4,5,1,3,6,2]=>[3,2,1]=>[2,1]=>1
[4,5,1,6,2,3]=>[4,5,1,6,2,3]=>[3,3]=>[3]=>3
[4,5,1,6,3,2]=>[4,5,1,6,3,2]=>[3,2,1]=>[2,1]=>1
[4,5,2,1,3,+]=>[4,5,2,1,3,6]=>[3,2,1]=>[2,1]=>1
[4,5,2,1,3,-]=>[4,5,2,1,3,6]=>[3,2,1]=>[2,1]=>1
[4,5,2,1,6,3]=>[4,5,2,1,6,3]=>[3,2,1]=>[2,1]=>1
[4,5,2,3,1,+]=>[4,5,2,3,1,6]=>[3,2,1]=>[2,1]=>1
[4,5,2,3,1,-]=>[4,5,2,3,1,6]=>[3,2,1]=>[2,1]=>1
[4,5,2,3,6,1]=>[4,5,2,3,6,1]=>[3,2,1]=>[2,1]=>1
[4,5,2,6,1,3]=>[4,5,2,6,1,3]=>[3,2,1]=>[2,1]=>1
[4,5,2,6,3,1]=>[4,5,2,6,3,1]=>[3,2,1]=>[2,1]=>1
[4,5,+,1,2,+]=>[4,5,3,1,2,6]=>[3,2,1]=>[2,1]=>1
[4,5,-,1,2,+]=>[4,5,3,1,2,6]=>[3,2,1]=>[2,1]=>1
[4,5,+,1,2,-]=>[4,5,3,1,2,6]=>[3,2,1]=>[2,1]=>1
[4,5,-,1,2,-]=>[4,5,3,1,2,6]=>[3,2,1]=>[2,1]=>1
[4,5,+,1,6,2]=>[4,5,3,1,6,2]=>[3,2,1]=>[2,1]=>1
[4,5,-,1,6,2]=>[4,5,3,1,6,2]=>[3,2,1]=>[2,1]=>1
[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]=>1
[4,5,-,6,1,2]=>[4,5,3,6,1,2]=>[3,2,1]=>[2,1]=>1
[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]=>3
[4,5,6,1,3,2]=>[4,5,6,1,3,2]=>[3,2,1]=>[2,1]=>1
[4,5,6,2,1,3]=>[4,5,6,2,1,3]=>[3,2,1]=>[2,1]=>1
[4,5,6,2,3,1]=>[4,5,6,2,3,1]=>[3,2,1]=>[2,1]=>1
[4,5,6,3,1,2]=>[4,5,6,3,1,2]=>[3,2,1]=>[2,1]=>1
[4,5,6,3,2,1]=>[4,5,6,3,2,1]=>[3,1,1,1]=>[1,1,1]=>0
[4,6,1,2,3,5]=>[4,6,1,2,3,5]=>[4,2]=>[2]=>1
[4,6,1,2,+,3]=>[4,6,1,2,5,3]=>[3,2,1]=>[2,1]=>1
[4,6,1,2,-,3]=>[4,6,1,2,5,3]=>[3,2,1]=>[2,1]=>1
[4,6,1,3,2,5]=>[4,6,1,3,2,5]=>[3,2,1]=>[2,1]=>1
[4,6,1,3,+,2]=>[4,6,1,3,5,2]=>[3,2,1]=>[2,1]=>1
[4,6,1,3,-,2]=>[4,6,1,3,5,2]=>[3,2,1]=>[2,1]=>1
[4,6,1,5,2,3]=>[4,6,1,5,2,3]=>[3,2,1]=>[2,1]=>1
[4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[2,2,1,1]=>[2,1,1]=>1
[4,6,2,1,3,5]=>[4,6,2,1,3,5]=>[3,2,1]=>[2,1]=>1
[4,6,2,1,+,3]=>[4,6,2,1,5,3]=>[2,2,2]=>[2,2]=>2
[4,6,2,1,-,3]=>[4,6,2,1,5,3]=>[2,2,2]=>[2,2]=>2
[4,6,2,3,1,5]=>[4,6,2,3,1,5]=>[3,2,1]=>[2,1]=>1
[4,6,2,3,+,1]=>[4,6,2,3,5,1]=>[3,2,1]=>[2,1]=>1
[4,6,2,3,-,1]=>[4,6,2,3,5,1]=>[3,2,1]=>[2,1]=>1
[4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[2,2,2]=>[2,2]=>2
[4,6,2,5,3,1]=>[4,6,2,5,3,1]=>[2,2,1,1]=>[2,1,1]=>1
[4,6,+,1,2,5]=>[4,6,3,1,2,5]=>[3,2,1]=>[2,1]=>1
[4,6,-,1,2,5]=>[4,6,3,1,2,5]=>[3,2,1]=>[2,1]=>1
[4,6,+,1,+,2]=>[4,6,3,1,5,2]=>[2,2,2]=>[2,2]=>2
[4,6,-,1,+,2]=>[4,6,3,1,5,2]=>[2,2,2]=>[2,2]=>2
[4,6,+,1,-,2]=>[4,6,3,1,5,2]=>[2,2,2]=>[2,2]=>2
[4,6,-,1,-,2]=>[4,6,3,1,5,2]=>[2,2,2]=>[2,2]=>2
[4,6,+,2,1,5]=>[4,6,3,2,1,5]=>[2,2,1,1]=>[2,1,1]=>1
[4,6,-,2,1,5]=>[4,6,3,2,1,5]=>[2,2,1,1]=>[2,1,1]=>1
[4,6,+,2,+,1]=>[4,6,3,2,5,1]=>[2,2,1,1]=>[2,1,1]=>1
[4,6,-,2,+,1]=>[4,6,3,2,5,1]=>[2,2,1,1]=>[2,1,1]=>1
[4,6,+,2,-,1]=>[4,6,3,2,5,1]=>[2,2,1,1]=>[2,1,1]=>1
[4,6,-,2,-,1]=>[4,6,3,2,5,1]=>[2,2,1,1]=>[2,1,1]=>1
[4,6,+,5,1,2]=>[4,6,3,5,1,2]=>[2,2,2]=>[2,2]=>2
[4,6,-,5,1,2]=>[4,6,3,5,1,2]=>[2,2,2]=>[2,2]=>2
[4,6,+,5,2,1]=>[4,6,3,5,2,1]=>[2,2,1,1]=>[2,1,1]=>1
[4,6,-,5,2,1]=>[4,6,3,5,2,1]=>[2,2,1,1]=>[2,1,1]=>1
[4,6,5,1,2,3]=>[4,6,5,1,2,3]=>[3,2,1]=>[2,1]=>1
[4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[2,2,1,1]=>[2,1,1]=>1
[4,6,5,2,1,3]=>[4,6,5,2,1,3]=>[2,2,1,1]=>[2,1,1]=>1
[4,6,5,2,3,1]=>[4,6,5,2,3,1]=>[2,2,1,1]=>[2,1,1]=>1
[4,6,5,3,1,2]=>[4,6,5,3,1,2]=>[2,2,1,1]=>[2,1,1]=>1
[4,6,5,3,2,1]=>[4,6,5,3,2,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[5,1,2,3,6,4]=>[5,1,2,3,6,4]=>[4,2]=>[2]=>1
[5,1,2,+,3,+]=>[5,1,2,4,3,6]=>[4,1,1]=>[1,1]=>0
[5,1,2,-,3,+]=>[5,1,2,4,3,6]=>[4,1,1]=>[1,1]=>0
[5,1,2,+,3,-]=>[5,1,2,4,3,6]=>[4,1,1]=>[1,1]=>0
[5,1,2,-,3,-]=>[5,1,2,4,3,6]=>[4,1,1]=>[1,1]=>0
[5,1,2,+,6,3]=>[5,1,2,4,6,3]=>[4,1,1]=>[1,1]=>0
[5,1,2,-,6,3]=>[5,1,2,4,6,3]=>[4,1,1]=>[1,1]=>0
[5,1,2,6,3,4]=>[5,1,2,6,3,4]=>[4,2]=>[2]=>1
[5,1,2,6,4,3]=>[5,1,2,6,4,3]=>[3,2,1]=>[2,1]=>1
[5,1,+,2,4,+]=>[5,1,3,2,4,6]=>[4,1,1]=>[1,1]=>0
[5,1,-,2,4,+]=>[5,1,3,2,4,6]=>[4,1,1]=>[1,1]=>0
[5,1,+,2,4,-]=>[5,1,3,2,4,6]=>[4,1,1]=>[1,1]=>0
[5,1,-,2,4,-]=>[5,1,3,2,4,6]=>[4,1,1]=>[1,1]=>0
[5,1,+,2,6,4]=>[5,1,3,2,6,4]=>[3,2,1]=>[2,1]=>1
[5,1,-,2,6,4]=>[5,1,3,2,6,4]=>[3,2,1]=>[2,1]=>1
[5,1,+,+,2,+]=>[5,1,3,4,2,6]=>[4,1,1]=>[1,1]=>0
[5,1,-,+,2,+]=>[5,1,3,4,2,6]=>[4,1,1]=>[1,1]=>0
[5,1,+,-,2,+]=>[5,1,3,4,2,6]=>[4,1,1]=>[1,1]=>0
[5,1,+,+,2,-]=>[5,1,3,4,2,6]=>[4,1,1]=>[1,1]=>0
[5,1,-,-,2,+]=>[5,1,3,4,2,6]=>[4,1,1]=>[1,1]=>0
[5,1,-,+,2,-]=>[5,1,3,4,2,6]=>[4,1,1]=>[1,1]=>0
[5,1,+,-,2,-]=>[5,1,3,4,2,6]=>[4,1,1]=>[1,1]=>0
[5,1,-,-,2,-]=>[5,1,3,4,2,6]=>[4,1,1]=>[1,1]=>0
[5,1,+,+,6,2]=>[5,1,3,4,6,2]=>[4,1,1]=>[1,1]=>0
[5,1,-,+,6,2]=>[5,1,3,4,6,2]=>[4,1,1]=>[1,1]=>0
[5,1,+,-,6,2]=>[5,1,3,4,6,2]=>[4,1,1]=>[1,1]=>0
[5,1,-,-,6,2]=>[5,1,3,4,6,2]=>[4,1,1]=>[1,1]=>0
[5,1,+,6,2,4]=>[5,1,3,6,2,4]=>[3,2,1]=>[2,1]=>1
[5,1,-,6,2,4]=>[5,1,3,6,2,4]=>[3,2,1]=>[2,1]=>1
[5,1,+,6,4,2]=>[5,1,3,6,4,2]=>[3,2,1]=>[2,1]=>1
[5,1,-,6,4,2]=>[5,1,3,6,4,2]=>[3,2,1]=>[2,1]=>1
[5,1,4,2,3,+]=>[5,1,4,2,3,6]=>[4,1,1]=>[1,1]=>0
[5,1,4,2,3,-]=>[5,1,4,2,3,6]=>[4,1,1]=>[1,1]=>0
[5,1,4,2,6,3]=>[5,1,4,2,6,3]=>[3,2,1]=>[2,1]=>1
[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]=>1
[5,1,4,6,3,2]=>[5,1,4,6,3,2]=>[3,1,1,1]=>[1,1,1]=>0
[5,1,6,2,3,4]=>[5,1,6,2,3,4]=>[4,2]=>[2]=>1
[5,1,6,2,4,3]=>[5,1,6,2,4,3]=>[3,2,1]=>[2,1]=>1
[5,1,6,3,2,4]=>[5,1,6,3,2,4]=>[3,2,1]=>[2,1]=>1
[5,1,6,3,4,2]=>[5,1,6,3,4,2]=>[3,2,1]=>[2,1]=>1
[5,1,6,+,2,3]=>[5,1,6,4,2,3]=>[3,2,1]=>[2,1]=>1
[5,1,6,-,2,3]=>[5,1,6,4,2,3]=>[3,2,1]=>[2,1]=>1
[5,1,6,+,3,2]=>[5,1,6,4,3,2]=>[2,2,1,1]=>[2,1,1]=>1
[5,1,6,-,3,2]=>[5,1,6,4,3,2]=>[2,2,1,1]=>[2,1,1]=>1
[5,+,1,3,4,+]=>[5,2,1,3,4,6]=>[4,1,1]=>[1,1]=>0
[5,-,1,3,4,+]=>[5,2,1,3,4,6]=>[4,1,1]=>[1,1]=>0
[5,+,1,3,4,-]=>[5,2,1,3,4,6]=>[4,1,1]=>[1,1]=>0
[5,-,1,3,4,-]=>[5,2,1,3,4,6]=>[4,1,1]=>[1,1]=>0
[5,+,1,3,6,4]=>[5,2,1,3,6,4]=>[3,2,1]=>[2,1]=>1
[5,-,1,3,6,4]=>[5,2,1,3,6,4]=>[3,2,1]=>[2,1]=>1
[5,+,1,+,3,+]=>[5,2,1,4,3,6]=>[3,2,1]=>[2,1]=>1
[5,-,1,+,3,+]=>[5,2,1,4,3,6]=>[3,2,1]=>[2,1]=>1
[5,+,1,-,3,+]=>[5,2,1,4,3,6]=>[3,2,1]=>[2,1]=>1
[5,+,1,+,3,-]=>[5,2,1,4,3,6]=>[3,2,1]=>[2,1]=>1
[5,-,1,-,3,+]=>[5,2,1,4,3,6]=>[3,2,1]=>[2,1]=>1
[5,-,1,+,3,-]=>[5,2,1,4,3,6]=>[3,2,1]=>[2,1]=>1
[5,+,1,-,3,-]=>[5,2,1,4,3,6]=>[3,2,1]=>[2,1]=>1
[5,-,1,-,3,-]=>[5,2,1,4,3,6]=>[3,2,1]=>[2,1]=>1
[5,+,1,+,6,3]=>[5,2,1,4,6,3]=>[3,2,1]=>[2,1]=>1
[5,-,1,+,6,3]=>[5,2,1,4,6,3]=>[3,2,1]=>[2,1]=>1
[5,+,1,-,6,3]=>[5,2,1,4,6,3]=>[3,2,1]=>[2,1]=>1
[5,-,1,-,6,3]=>[5,2,1,4,6,3]=>[3,2,1]=>[2,1]=>1
[5,+,1,6,3,4]=>[5,2,1,6,3,4]=>[3,2,1]=>[2,1]=>1
[5,-,1,6,3,4]=>[5,2,1,6,3,4]=>[3,2,1]=>[2,1]=>1
[5,+,1,6,4,3]=>[5,2,1,6,4,3]=>[2,2,2]=>[2,2]=>2
[5,-,1,6,4,3]=>[5,2,1,6,4,3]=>[2,2,2]=>[2,2]=>2
[5,+,+,1,4,+]=>[5,2,3,1,4,6]=>[4,1,1]=>[1,1]=>0
[5,-,+,1,4,+]=>[5,2,3,1,4,6]=>[4,1,1]=>[1,1]=>0
[5,+,-,1,4,+]=>[5,2,3,1,4,6]=>[4,1,1]=>[1,1]=>0
[5,+,+,1,4,-]=>[5,2,3,1,4,6]=>[4,1,1]=>[1,1]=>0
[5,-,-,1,4,+]=>[5,2,3,1,4,6]=>[4,1,1]=>[1,1]=>0
[5,-,+,1,4,-]=>[5,2,3,1,4,6]=>[4,1,1]=>[1,1]=>0
[5,+,-,1,4,-]=>[5,2,3,1,4,6]=>[4,1,1]=>[1,1]=>0
[5,-,-,1,4,-]=>[5,2,3,1,4,6]=>[4,1,1]=>[1,1]=>0
[5,+,+,1,6,4]=>[5,2,3,1,6,4]=>[3,2,1]=>[2,1]=>1
[5,-,+,1,6,4]=>[5,2,3,1,6,4]=>[3,2,1]=>[2,1]=>1
[5,+,-,1,6,4]=>[5,2,3,1,6,4]=>[3,2,1]=>[2,1]=>1
[5,-,-,1,6,4]=>[5,2,3,1,6,4]=>[3,2,1]=>[2,1]=>1
[5,+,+,+,1,+]=>[5,2,3,4,1,6]=>[4,1,1]=>[1,1]=>0
[5,-,+,+,1,+]=>[5,2,3,4,1,6]=>[4,1,1]=>[1,1]=>0
[5,+,-,+,1,+]=>[5,2,3,4,1,6]=>[4,1,1]=>[1,1]=>0
[5,+,+,-,1,+]=>[5,2,3,4,1,6]=>[4,1,1]=>[1,1]=>0
[5,+,+,+,1,-]=>[5,2,3,4,1,6]=>[4,1,1]=>[1,1]=>0
[5,-,-,+,1,+]=>[5,2,3,4,1,6]=>[4,1,1]=>[1,1]=>0
[5,-,+,-,1,+]=>[5,2,3,4,1,6]=>[4,1,1]=>[1,1]=>0
[5,-,+,+,1,-]=>[5,2,3,4,1,6]=>[4,1,1]=>[1,1]=>0
[5,+,-,-,1,+]=>[5,2,3,4,1,6]=>[4,1,1]=>[1,1]=>0
[5,+,-,+,1,-]=>[5,2,3,4,1,6]=>[4,1,1]=>[1,1]=>0
[5,+,+,-,1,-]=>[5,2,3,4,1,6]=>[4,1,1]=>[1,1]=>0
[5,-,-,-,1,+]=>[5,2,3,4,1,6]=>[4,1,1]=>[1,1]=>0
[5,-,-,+,1,-]=>[5,2,3,4,1,6]=>[4,1,1]=>[1,1]=>0
[5,-,+,-,1,-]=>[5,2,3,4,1,6]=>[4,1,1]=>[1,1]=>0
[5,+,-,-,1,-]=>[5,2,3,4,1,6]=>[4,1,1]=>[1,1]=>0
[5,-,-,-,1,-]=>[5,2,3,4,1,6]=>[4,1,1]=>[1,1]=>0
[5,+,+,+,6,1]=>[5,2,3,4,6,1]=>[4,1,1]=>[1,1]=>0
[5,-,+,+,6,1]=>[5,2,3,4,6,1]=>[4,1,1]=>[1,1]=>0
[5,+,-,+,6,1]=>[5,2,3,4,6,1]=>[4,1,1]=>[1,1]=>0
[5,+,+,-,6,1]=>[5,2,3,4,6,1]=>[4,1,1]=>[1,1]=>0
[5,-,-,+,6,1]=>[5,2,3,4,6,1]=>[4,1,1]=>[1,1]=>0
[5,-,+,-,6,1]=>[5,2,3,4,6,1]=>[4,1,1]=>[1,1]=>0
[5,+,-,-,6,1]=>[5,2,3,4,6,1]=>[4,1,1]=>[1,1]=>0
[5,-,-,-,6,1]=>[5,2,3,4,6,1]=>[4,1,1]=>[1,1]=>0
[5,+,+,6,1,4]=>[5,2,3,6,1,4]=>[3,2,1]=>[2,1]=>1
[5,-,+,6,1,4]=>[5,2,3,6,1,4]=>[3,2,1]=>[2,1]=>1
[5,+,-,6,1,4]=>[5,2,3,6,1,4]=>[3,2,1]=>[2,1]=>1
[5,-,-,6,1,4]=>[5,2,3,6,1,4]=>[3,2,1]=>[2,1]=>1
[5,+,+,6,4,1]=>[5,2,3,6,4,1]=>[3,2,1]=>[2,1]=>1
[5,-,+,6,4,1]=>[5,2,3,6,4,1]=>[3,2,1]=>[2,1]=>1
[5,+,-,6,4,1]=>[5,2,3,6,4,1]=>[3,2,1]=>[2,1]=>1
[5,-,-,6,4,1]=>[5,2,3,6,4,1]=>[3,2,1]=>[2,1]=>1
[5,+,4,1,3,+]=>[5,2,4,1,3,6]=>[3,2,1]=>[2,1]=>1
[5,-,4,1,3,+]=>[5,2,4,1,3,6]=>[3,2,1]=>[2,1]=>1
[5,+,4,1,3,-]=>[5,2,4,1,3,6]=>[3,2,1]=>[2,1]=>1
[5,-,4,1,3,-]=>[5,2,4,1,3,6]=>[3,2,1]=>[2,1]=>1
[5,+,4,1,6,3]=>[5,2,4,1,6,3]=>[3,2,1]=>[2,1]=>1
[5,-,4,1,6,3]=>[5,2,4,1,6,3]=>[3,2,1]=>[2,1]=>1
[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]=>1
[5,-,4,6,1,3]=>[5,2,4,6,1,3]=>[3,2,1]=>[2,1]=>1
[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]=>1
[5,-,6,1,3,4]=>[5,2,6,1,3,4]=>[3,2,1]=>[2,1]=>1
[5,+,6,1,4,3]=>[5,2,6,1,4,3]=>[2,2,2]=>[2,2]=>2
[5,-,6,1,4,3]=>[5,2,6,1,4,3]=>[2,2,2]=>[2,2]=>2
[5,+,6,3,1,4]=>[5,2,6,3,1,4]=>[3,2,1]=>[2,1]=>1
[5,-,6,3,1,4]=>[5,2,6,3,1,4]=>[3,2,1]=>[2,1]=>1
[5,+,6,3,4,1]=>[5,2,6,3,4,1]=>[3,2,1]=>[2,1]=>1
[5,-,6,3,4,1]=>[5,2,6,3,4,1]=>[3,2,1]=>[2,1]=>1
[5,+,6,+,1,3]=>[5,2,6,4,1,3]=>[2,2,2]=>[2,2]=>2
[5,-,6,+,1,3]=>[5,2,6,4,1,3]=>[2,2,2]=>[2,2]=>2
[5,+,6,-,1,3]=>[5,2,6,4,1,3]=>[2,2,2]=>[2,2]=>2
[5,-,6,-,1,3]=>[5,2,6,4,1,3]=>[2,2,2]=>[2,2]=>2
[5,+,6,+,3,1]=>[5,2,6,4,3,1]=>[2,2,1,1]=>[2,1,1]=>1
[5,-,6,+,3,1]=>[5,2,6,4,3,1]=>[2,2,1,1]=>[2,1,1]=>1
[5,+,6,-,3,1]=>[5,2,6,4,3,1]=>[2,2,1,1]=>[2,1,1]=>1
[5,-,6,-,3,1]=>[5,2,6,4,3,1]=>[2,2,1,1]=>[2,1,1]=>1
[5,3,1,2,4,+]=>[5,3,1,2,4,6]=>[4,1,1]=>[1,1]=>0
[5,3,1,2,4,-]=>[5,3,1,2,4,6]=>[4,1,1]=>[1,1]=>0
[5,3,1,2,6,4]=>[5,3,1,2,6,4]=>[3,2,1]=>[2,1]=>1
[5,3,1,+,2,+]=>[5,3,1,4,2,6]=>[3,2,1]=>[2,1]=>1
[5,3,1,-,2,+]=>[5,3,1,4,2,6]=>[3,2,1]=>[2,1]=>1
[5,3,1,+,2,-]=>[5,3,1,4,2,6]=>[3,2,1]=>[2,1]=>1
[5,3,1,-,2,-]=>[5,3,1,4,2,6]=>[3,2,1]=>[2,1]=>1
[5,3,1,+,6,2]=>[5,3,1,4,6,2]=>[3,2,1]=>[2,1]=>1
[5,3,1,-,6,2]=>[5,3,1,4,6,2]=>[3,2,1]=>[2,1]=>1
[5,3,1,6,2,4]=>[5,3,1,6,2,4]=>[3,2,1]=>[2,1]=>1
[5,3,1,6,4,2]=>[5,3,1,6,4,2]=>[2,2,2]=>[2,2]=>2
[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]=>1
[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]=>1
[5,3,2,6,4,1]=>[5,3,2,6,4,1]=>[2,2,1,1]=>[2,1,1]=>1
[5,3,4,1,2,+]=>[5,3,4,1,2,6]=>[3,2,1]=>[2,1]=>1
[5,3,4,1,2,-]=>[5,3,4,1,2,6]=>[3,2,1]=>[2,1]=>1
[5,3,4,1,6,2]=>[5,3,4,1,6,2]=>[3,2,1]=>[2,1]=>1
[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]=>1
[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]=>1
[5,3,6,1,4,2]=>[5,3,6,1,4,2]=>[2,2,2]=>[2,2]=>2
[5,3,6,2,1,4]=>[5,3,6,2,1,4]=>[2,2,1,1]=>[2,1,1]=>1
[5,3,6,2,4,1]=>[5,3,6,2,4,1]=>[2,2,1,1]=>[2,1,1]=>1
[5,3,6,+,1,2]=>[5,3,6,4,1,2]=>[2,2,2]=>[2,2]=>2
[5,3,6,-,1,2]=>[5,3,6,4,1,2]=>[2,2,2]=>[2,2]=>2
[5,3,6,+,2,1]=>[5,3,6,4,2,1]=>[2,2,1,1]=>[2,1,1]=>1
[5,3,6,-,2,1]=>[5,3,6,4,2,1]=>[2,2,1,1]=>[2,1,1]=>1
[5,4,1,2,3,+]=>[5,4,1,2,3,6]=>[4,1,1]=>[1,1]=>0
[5,4,1,2,3,-]=>[5,4,1,2,3,6]=>[4,1,1]=>[1,1]=>0
[5,4,1,2,6,3]=>[5,4,1,2,6,3]=>[3,2,1]=>[2,1]=>1
[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]=>1
[5,4,1,6,3,2]=>[5,4,1,6,3,2]=>[2,2,1,1]=>[2,1,1]=>1
[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]=>1
[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]=>1
[5,4,2,6,3,1]=>[5,4,2,6,3,1]=>[2,2,1,1]=>[2,1,1]=>1
[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]=>1
[5,4,-,1,6,2]=>[5,4,3,1,6,2]=>[2,2,1,1]=>[2,1,1]=>1
[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]=>1
[5,4,-,6,1,2]=>[5,4,3,6,1,2]=>[2,2,1,1]=>[2,1,1]=>1
[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]=>1
[5,4,6,1,3,2]=>[5,4,6,1,3,2]=>[2,2,1,1]=>[2,1,1]=>1
[5,4,6,2,1,3]=>[5,4,6,2,1,3]=>[2,2,1,1]=>[2,1,1]=>1
[5,4,6,2,3,1]=>[5,4,6,2,3,1]=>[2,2,1,1]=>[2,1,1]=>1
[5,4,6,3,1,2]=>[5,4,6,3,1,2]=>[2,2,1,1]=>[2,1,1]=>1
[5,4,6,3,2,1]=>[5,4,6,3,2,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[5,6,1,2,3,4]=>[5,6,1,2,3,4]=>[4,2]=>[2]=>1
[5,6,1,2,4,3]=>[5,6,1,2,4,3]=>[3,2,1]=>[2,1]=>1
[5,6,1,3,2,4]=>[5,6,1,3,2,4]=>[3,2,1]=>[2,1]=>1
[5,6,1,3,4,2]=>[5,6,1,3,4,2]=>[3,2,1]=>[2,1]=>1
[5,6,1,+,2,3]=>[5,6,1,4,2,3]=>[3,2,1]=>[2,1]=>1
[5,6,1,-,2,3]=>[5,6,1,4,2,3]=>[3,2,1]=>[2,1]=>1
[5,6,1,+,3,2]=>[5,6,1,4,3,2]=>[2,2,1,1]=>[2,1,1]=>1
[5,6,1,-,3,2]=>[5,6,1,4,3,2]=>[2,2,1,1]=>[2,1,1]=>1
[5,6,2,1,3,4]=>[5,6,2,1,3,4]=>[3,2,1]=>[2,1]=>1
[5,6,2,1,4,3]=>[5,6,2,1,4,3]=>[2,2,2]=>[2,2]=>2
[5,6,2,3,1,4]=>[5,6,2,3,1,4]=>[3,2,1]=>[2,1]=>1
[5,6,2,3,4,1]=>[5,6,2,3,4,1]=>[3,2,1]=>[2,1]=>1
[5,6,2,+,1,3]=>[5,6,2,4,1,3]=>[2,2,2]=>[2,2]=>2
[5,6,2,-,1,3]=>[5,6,2,4,1,3]=>[2,2,2]=>[2,2]=>2
[5,6,2,+,3,1]=>[5,6,2,4,3,1]=>[2,2,1,1]=>[2,1,1]=>1
[5,6,2,-,3,1]=>[5,6,2,4,3,1]=>[2,2,1,1]=>[2,1,1]=>1
[5,6,+,1,2,4]=>[5,6,3,1,2,4]=>[3,2,1]=>[2,1]=>1
[5,6,-,1,2,4]=>[5,6,3,1,2,4]=>[3,2,1]=>[2,1]=>1
[5,6,+,1,4,2]=>[5,6,3,1,4,2]=>[2,2,2]=>[2,2]=>2
[5,6,-,1,4,2]=>[5,6,3,1,4,2]=>[2,2,2]=>[2,2]=>2
[5,6,+,2,1,4]=>[5,6,3,2,1,4]=>[2,2,1,1]=>[2,1,1]=>1
[5,6,-,2,1,4]=>[5,6,3,2,1,4]=>[2,2,1,1]=>[2,1,1]=>1
[5,6,+,2,4,1]=>[5,6,3,2,4,1]=>[2,2,1,1]=>[2,1,1]=>1
[5,6,-,2,4,1]=>[5,6,3,2,4,1]=>[2,2,1,1]=>[2,1,1]=>1
[5,6,+,+,1,2]=>[5,6,3,4,1,2]=>[2,2,2]=>[2,2]=>2
[5,6,-,+,1,2]=>[5,6,3,4,1,2]=>[2,2,2]=>[2,2]=>2
[5,6,+,-,1,2]=>[5,6,3,4,1,2]=>[2,2,2]=>[2,2]=>2
[5,6,-,-,1,2]=>[5,6,3,4,1,2]=>[2,2,2]=>[2,2]=>2
[5,6,+,+,2,1]=>[5,6,3,4,2,1]=>[2,2,1,1]=>[2,1,1]=>1
[5,6,-,+,2,1]=>[5,6,3,4,2,1]=>[2,2,1,1]=>[2,1,1]=>1
[5,6,+,-,2,1]=>[5,6,3,4,2,1]=>[2,2,1,1]=>[2,1,1]=>1
[5,6,-,-,2,1]=>[5,6,3,4,2,1]=>[2,2,1,1]=>[2,1,1]=>1
[5,6,4,1,2,3]=>[5,6,4,1,2,3]=>[3,2,1]=>[2,1]=>1
[5,6,4,1,3,2]=>[5,6,4,1,3,2]=>[2,2,1,1]=>[2,1,1]=>1
[5,6,4,2,1,3]=>[5,6,4,2,1,3]=>[2,2,1,1]=>[2,1,1]=>1
[5,6,4,2,3,1]=>[5,6,4,2,3,1]=>[2,2,1,1]=>[2,1,1]=>1
[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[2,2,1,1]=>[2,1,1]=>1
[5,6,4,3,2,1]=>[5,6,4,3,2,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[6,1,2,3,+,4]=>[6,1,2,3,5,4]=>[4,1,1]=>[1,1]=>0
[6,1,2,3,-,4]=>[6,1,2,3,5,4]=>[4,1,1]=>[1,1]=>0
[6,1,2,+,3,5]=>[6,1,2,4,3,5]=>[4,1,1]=>[1,1]=>0
[6,1,2,-,3,5]=>[6,1,2,4,3,5]=>[4,1,1]=>[1,1]=>0
[6,1,2,+,+,3]=>[6,1,2,4,5,3]=>[4,1,1]=>[1,1]=>0
[6,1,2,-,+,3]=>[6,1,2,4,5,3]=>[4,1,1]=>[1,1]=>0
[6,1,2,+,-,3]=>[6,1,2,4,5,3]=>[4,1,1]=>[1,1]=>0
[6,1,2,-,-,3]=>[6,1,2,4,5,3]=>[4,1,1]=>[1,1]=>0
[6,1,2,5,3,4]=>[6,1,2,5,3,4]=>[4,1,1]=>[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,+,2,4,5]=>[6,1,3,2,4,5]=>[4,1,1]=>[1,1]=>0
[6,1,-,2,4,5]=>[6,1,3,2,4,5]=>[4,1,1]=>[1,1]=>0
[6,1,+,2,+,4]=>[6,1,3,2,5,4]=>[3,2,1]=>[2,1]=>1
[6,1,-,2,+,4]=>[6,1,3,2,5,4]=>[3,2,1]=>[2,1]=>1
[6,1,+,2,-,4]=>[6,1,3,2,5,4]=>[3,2,1]=>[2,1]=>1
[6,1,-,2,-,4]=>[6,1,3,2,5,4]=>[3,2,1]=>[2,1]=>1
[6,1,+,+,2,5]=>[6,1,3,4,2,5]=>[4,1,1]=>[1,1]=>0
[6,1,-,+,2,5]=>[6,1,3,4,2,5]=>[4,1,1]=>[1,1]=>0
[6,1,+,-,2,5]=>[6,1,3,4,2,5]=>[4,1,1]=>[1,1]=>0
[6,1,-,-,2,5]=>[6,1,3,4,2,5]=>[4,1,1]=>[1,1]=>0
[6,1,+,+,+,2]=>[6,1,3,4,5,2]=>[4,1,1]=>[1,1]=>0
[6,1,-,+,+,2]=>[6,1,3,4,5,2]=>[4,1,1]=>[1,1]=>0
[6,1,+,-,+,2]=>[6,1,3,4,5,2]=>[4,1,1]=>[1,1]=>0
[6,1,+,+,-,2]=>[6,1,3,4,5,2]=>[4,1,1]=>[1,1]=>0
[6,1,-,-,+,2]=>[6,1,3,4,5,2]=>[4,1,1]=>[1,1]=>0
[6,1,-,+,-,2]=>[6,1,3,4,5,2]=>[4,1,1]=>[1,1]=>0
[6,1,+,-,-,2]=>[6,1,3,4,5,2]=>[4,1,1]=>[1,1]=>0
[6,1,-,-,-,2]=>[6,1,3,4,5,2]=>[4,1,1]=>[1,1]=>0
[6,1,+,5,2,4]=>[6,1,3,5,2,4]=>[3,2,1]=>[2,1]=>1
[6,1,-,5,2,4]=>[6,1,3,5,2,4]=>[3,2,1]=>[2,1]=>1
[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
[6,1,4,2,3,5]=>[6,1,4,2,3,5]=>[4,1,1]=>[1,1]=>0
[6,1,4,2,+,3]=>[6,1,4,2,5,3]=>[3,2,1]=>[2,1]=>1
[6,1,4,2,-,3]=>[6,1,4,2,5,3]=>[3,2,1]=>[2,1]=>1
[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]=>1
[6,1,4,5,3,2]=>[6,1,4,5,3,2]=>[3,1,1,1]=>[1,1,1]=>0
[6,1,5,2,3,4]=>[6,1,5,2,3,4]=>[4,1,1]=>[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,+,1,3,4,5]=>[6,2,1,3,4,5]=>[4,1,1]=>[1,1]=>0
[6,-,1,3,4,5]=>[6,2,1,3,4,5]=>[4,1,1]=>[1,1]=>0
[6,+,1,3,+,4]=>[6,2,1,3,5,4]=>[3,2,1]=>[2,1]=>1
[6,-,1,3,+,4]=>[6,2,1,3,5,4]=>[3,2,1]=>[2,1]=>1
[6,+,1,3,-,4]=>[6,2,1,3,5,4]=>[3,2,1]=>[2,1]=>1
[6,-,1,3,-,4]=>[6,2,1,3,5,4]=>[3,2,1]=>[2,1]=>1
[6,+,1,+,3,5]=>[6,2,1,4,3,5]=>[3,2,1]=>[2,1]=>1
[6,-,1,+,3,5]=>[6,2,1,4,3,5]=>[3,2,1]=>[2,1]=>1
[6,+,1,-,3,5]=>[6,2,1,4,3,5]=>[3,2,1]=>[2,1]=>1
[6,-,1,-,3,5]=>[6,2,1,4,3,5]=>[3,2,1]=>[2,1]=>1
[6,+,1,+,+,3]=>[6,2,1,4,5,3]=>[3,2,1]=>[2,1]=>1
[6,-,1,+,+,3]=>[6,2,1,4,5,3]=>[3,2,1]=>[2,1]=>1
[6,+,1,-,+,3]=>[6,2,1,4,5,3]=>[3,2,1]=>[2,1]=>1
[6,+,1,+,-,3]=>[6,2,1,4,5,3]=>[3,2,1]=>[2,1]=>1
[6,-,1,-,+,3]=>[6,2,1,4,5,3]=>[3,2,1]=>[2,1]=>1
[6,-,1,+,-,3]=>[6,2,1,4,5,3]=>[3,2,1]=>[2,1]=>1
[6,+,1,-,-,3]=>[6,2,1,4,5,3]=>[3,2,1]=>[2,1]=>1
[6,-,1,-,-,3]=>[6,2,1,4,5,3]=>[3,2,1]=>[2,1]=>1
[6,+,1,5,3,4]=>[6,2,1,5,3,4]=>[3,2,1]=>[2,1]=>1
[6,-,1,5,3,4]=>[6,2,1,5,3,4]=>[3,2,1]=>[2,1]=>1
[6,+,1,5,4,3]=>[6,2,1,5,4,3]=>[2,2,1,1]=>[2,1,1]=>1
[6,-,1,5,4,3]=>[6,2,1,5,4,3]=>[2,2,1,1]=>[2,1,1]=>1
[6,+,+,1,4,5]=>[6,2,3,1,4,5]=>[4,1,1]=>[1,1]=>0
[6,-,+,1,4,5]=>[6,2,3,1,4,5]=>[4,1,1]=>[1,1]=>0
[6,+,-,1,4,5]=>[6,2,3,1,4,5]=>[4,1,1]=>[1,1]=>0
[6,-,-,1,4,5]=>[6,2,3,1,4,5]=>[4,1,1]=>[1,1]=>0
[6,+,+,1,+,4]=>[6,2,3,1,5,4]=>[3,2,1]=>[2,1]=>1
[6,-,+,1,+,4]=>[6,2,3,1,5,4]=>[3,2,1]=>[2,1]=>1
[6,+,-,1,+,4]=>[6,2,3,1,5,4]=>[3,2,1]=>[2,1]=>1
[6,+,+,1,-,4]=>[6,2,3,1,5,4]=>[3,2,1]=>[2,1]=>1
[6,-,-,1,+,4]=>[6,2,3,1,5,4]=>[3,2,1]=>[2,1]=>1
[6,-,+,1,-,4]=>[6,2,3,1,5,4]=>[3,2,1]=>[2,1]=>1
[6,+,-,1,-,4]=>[6,2,3,1,5,4]=>[3,2,1]=>[2,1]=>1
[6,-,-,1,-,4]=>[6,2,3,1,5,4]=>[3,2,1]=>[2,1]=>1
[6,+,+,+,1,5]=>[6,2,3,4,1,5]=>[4,1,1]=>[1,1]=>0
[6,-,+,+,1,5]=>[6,2,3,4,1,5]=>[4,1,1]=>[1,1]=>0
[6,+,-,+,1,5]=>[6,2,3,4,1,5]=>[4,1,1]=>[1,1]=>0
[6,+,+,-,1,5]=>[6,2,3,4,1,5]=>[4,1,1]=>[1,1]=>0
[6,-,-,+,1,5]=>[6,2,3,4,1,5]=>[4,1,1]=>[1,1]=>0
[6,-,+,-,1,5]=>[6,2,3,4,1,5]=>[4,1,1]=>[1,1]=>0
[6,+,-,-,1,5]=>[6,2,3,4,1,5]=>[4,1,1]=>[1,1]=>0
[6,-,-,-,1,5]=>[6,2,3,4,1,5]=>[4,1,1]=>[1,1]=>0
[6,+,+,+,+,1]=>[6,2,3,4,5,1]=>[4,1,1]=>[1,1]=>0
[6,-,+,+,+,1]=>[6,2,3,4,5,1]=>[4,1,1]=>[1,1]=>0
[6,+,-,+,+,1]=>[6,2,3,4,5,1]=>[4,1,1]=>[1,1]=>0
[6,+,+,-,+,1]=>[6,2,3,4,5,1]=>[4,1,1]=>[1,1]=>0
[6,+,+,+,-,1]=>[6,2,3,4,5,1]=>[4,1,1]=>[1,1]=>0
[6,-,-,+,+,1]=>[6,2,3,4,5,1]=>[4,1,1]=>[1,1]=>0
[6,-,+,-,+,1]=>[6,2,3,4,5,1]=>[4,1,1]=>[1,1]=>0
[6,-,+,+,-,1]=>[6,2,3,4,5,1]=>[4,1,1]=>[1,1]=>0
[6,+,-,-,+,1]=>[6,2,3,4,5,1]=>[4,1,1]=>[1,1]=>0
[6,+,-,+,-,1]=>[6,2,3,4,5,1]=>[4,1,1]=>[1,1]=>0
[6,+,+,-,-,1]=>[6,2,3,4,5,1]=>[4,1,1]=>[1,1]=>0
[6,-,-,-,+,1]=>[6,2,3,4,5,1]=>[4,1,1]=>[1,1]=>0
[6,-,-,+,-,1]=>[6,2,3,4,5,1]=>[4,1,1]=>[1,1]=>0
[6,-,+,-,-,1]=>[6,2,3,4,5,1]=>[4,1,1]=>[1,1]=>0
[6,+,-,-,-,1]=>[6,2,3,4,5,1]=>[4,1,1]=>[1,1]=>0
[6,-,-,-,-,1]=>[6,2,3,4,5,1]=>[4,1,1]=>[1,1]=>0
[6,+,+,5,1,4]=>[6,2,3,5,1,4]=>[3,2,1]=>[2,1]=>1
[6,-,+,5,1,4]=>[6,2,3,5,1,4]=>[3,2,1]=>[2,1]=>1
[6,+,-,5,1,4]=>[6,2,3,5,1,4]=>[3,2,1]=>[2,1]=>1
[6,-,-,5,1,4]=>[6,2,3,5,1,4]=>[3,2,1]=>[2,1]=>1
[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]=>1
[6,-,4,1,3,5]=>[6,2,4,1,3,5]=>[3,2,1]=>[2,1]=>1
[6,+,4,1,+,3]=>[6,2,4,1,5,3]=>[3,2,1]=>[2,1]=>1
[6,-,4,1,+,3]=>[6,2,4,1,5,3]=>[3,2,1]=>[2,1]=>1
[6,+,4,1,-,3]=>[6,2,4,1,5,3]=>[3,2,1]=>[2,1]=>1
[6,-,4,1,-,3]=>[6,2,4,1,5,3]=>[3,2,1]=>[2,1]=>1
[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]=>1
[6,-,4,5,1,3]=>[6,2,4,5,1,3]=>[3,2,1]=>[2,1]=>1
[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]=>1
[6,-,5,1,3,4]=>[6,2,5,1,3,4]=>[3,2,1]=>[2,1]=>1
[6,+,5,1,4,3]=>[6,2,5,1,4,3]=>[2,2,1,1]=>[2,1,1]=>1
[6,-,5,1,4,3]=>[6,2,5,1,4,3]=>[2,2,1,1]=>[2,1,1]=>1
[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]=>1
[6,-,5,+,1,3]=>[6,2,5,4,1,3]=>[2,2,1,1]=>[2,1,1]=>1
[6,+,5,-,1,3]=>[6,2,5,4,1,3]=>[2,2,1,1]=>[2,1,1]=>1
[6,-,5,-,1,3]=>[6,2,5,4,1,3]=>[2,2,1,1]=>[2,1,1]=>1
[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
[6,3,1,2,4,5]=>[6,3,1,2,4,5]=>[4,1,1]=>[1,1]=>0
[6,3,1,2,+,4]=>[6,3,1,2,5,4]=>[3,2,1]=>[2,1]=>1
[6,3,1,2,-,4]=>[6,3,1,2,5,4]=>[3,2,1]=>[2,1]=>1
[6,3,1,+,2,5]=>[6,3,1,4,2,5]=>[3,2,1]=>[2,1]=>1
[6,3,1,-,2,5]=>[6,3,1,4,2,5]=>[3,2,1]=>[2,1]=>1
[6,3,1,+,+,2]=>[6,3,1,4,5,2]=>[3,2,1]=>[2,1]=>1
[6,3,1,-,+,2]=>[6,3,1,4,5,2]=>[3,2,1]=>[2,1]=>1
[6,3,1,+,-,2]=>[6,3,1,4,5,2]=>[3,2,1]=>[2,1]=>1
[6,3,1,-,-,2]=>[6,3,1,4,5,2]=>[3,2,1]=>[2,1]=>1
[6,3,1,5,2,4]=>[6,3,1,5,2,4]=>[3,2,1]=>[2,1]=>1
[6,3,1,5,4,2]=>[6,3,1,5,4,2]=>[2,2,1,1]=>[2,1,1]=>1
[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]=>1
[6,3,2,1,-,4]=>[6,3,2,1,5,4]=>[2,2,1,1]=>[2,1,1]=>1
[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]=>1
[6,3,2,5,4,1]=>[6,3,2,5,4,1]=>[2,2,1,1]=>[2,1,1]=>1
[6,3,4,1,2,5]=>[6,3,4,1,2,5]=>[3,2,1]=>[2,1]=>1
[6,3,4,1,+,2]=>[6,3,4,1,5,2]=>[3,2,1]=>[2,1]=>1
[6,3,4,1,-,2]=>[6,3,4,1,5,2]=>[3,2,1]=>[2,1]=>1
[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]=>1
[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]=>1
[6,3,5,1,4,2]=>[6,3,5,1,4,2]=>[2,2,1,1]=>[2,1,1]=>1
[6,3,5,2,1,4]=>[6,3,5,2,1,4]=>[2,2,1,1]=>[2,1,1]=>1
[6,3,5,2,4,1]=>[6,3,5,2,4,1]=>[2,2,1,1]=>[2,1,1]=>1
[6,3,5,+,1,2]=>[6,3,5,4,1,2]=>[2,2,1,1]=>[2,1,1]=>1
[6,3,5,-,1,2]=>[6,3,5,4,1,2]=>[2,2,1,1]=>[2,1,1]=>1
[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
[6,4,1,2,3,5]=>[6,4,1,2,3,5]=>[4,1,1]=>[1,1]=>0
[6,4,1,2,+,3]=>[6,4,1,2,5,3]=>[3,2,1]=>[2,1]=>1
[6,4,1,2,-,3]=>[6,4,1,2,5,3]=>[3,2,1]=>[2,1]=>1
[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]=>1
[6,4,1,5,3,2]=>[6,4,1,5,3,2]=>[2,2,1,1]=>[2,1,1]=>1
[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]=>1
[6,4,2,1,-,3]=>[6,4,2,1,5,3]=>[2,2,1,1]=>[2,1,1]=>1
[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]=>1
[6,4,2,5,3,1]=>[6,4,2,5,3,1]=>[2,2,1,1]=>[2,1,1]=>1
[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]=>1
[6,4,-,1,+,2]=>[6,4,3,1,5,2]=>[2,2,1,1]=>[2,1,1]=>1
[6,4,+,1,-,2]=>[6,4,3,1,5,2]=>[2,2,1,1]=>[2,1,1]=>1
[6,4,-,1,-,2]=>[6,4,3,1,5,2]=>[2,2,1,1]=>[2,1,1]=>1
[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]=>1
[6,4,-,5,1,2]=>[6,4,3,5,1,2]=>[2,2,1,1]=>[2,1,1]=>1
[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]=>1
[6,4,5,1,3,2]=>[6,4,5,1,3,2]=>[2,2,1,1]=>[2,1,1]=>1
[6,4,5,2,1,3]=>[6,4,5,2,1,3]=>[2,2,1,1]=>[2,1,1]=>1
[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[2,2,1,1]=>[2,1,1]=>1
[6,4,5,3,1,2]=>[6,4,5,3,1,2]=>[2,2,1,1]=>[2,1,1]=>1
[6,4,5,3,2,1]=>[6,4,5,3,2,1]=>[2,1,1,1,1]=>[1,1,1,1]=>0
[6,5,1,2,3,4]=>[6,5,1,2,3,4]=>[4,1,1]=>[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]=>1
[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]=>1
[6,5,2,-,1,3]=>[6,5,2,4,1,3]=>[2,2,1,1]=>[2,1,1]=>1
[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]=>1
[6,5,-,1,4,2]=>[6,5,3,1,4,2]=>[2,2,1,1]=>[2,1,1]=>1
[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]=>1
[6,5,-,+,1,2]=>[6,5,3,4,1,2]=>[2,2,1,1]=>[2,1,1]=>1
[6,5,+,-,1,2]=>[6,5,3,4,1,2]=>[2,2,1,1]=>[2,1,1]=>1
[6,5,-,-,1,2]=>[6,5,3,4,1,2]=>[2,2,1,1]=>[2,1,1]=>1
[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]=>0
search for individual values
searching the database for the individual values of this statistic
Description
The number of ways to select a row of a Ferrers shape and two cells in this row. Equivalently, if $\lambda = (\lambda_0\geq\lambda_1 \geq \dots\geq\lambda_m)$ is an integer partition, then the statistic is
$$\frac{1}{2} \sum_{i=0}^m \lambda_i(\lambda_i -1).$$
$$\frac{1}{2} \sum_{i=0}^m \lambda_i(\lambda_i -1).$$
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.
searching the database
Sorry, this statistic was not found in the database
or
add this statistic to the database – it's very simple and we need your support!