- FindStat

Identifier
Mp00169: Signed permutations —odd cycle type⟶ Integer partitions
St000929: Integer partitions ⟶ ℤ
Values
=>
                            
                            
                            Cc0002;cc-rep
                            
                            
                            

                        [-1,-2]=>[1,1]=>1
[2,-1]=>[2]=>0
[-2,1]=>[2]=>0
[1,-2,-3]=>[1,1]=>1
[-1,2,-3]=>[1,1]=>1
[-1,-2,3]=>[1,1]=>1
[-1,-2,-3]=>[1,1,1]=>1
[1,3,-2]=>[2]=>0
[1,-3,2]=>[2]=>0
[-1,3,-2]=>[2,1]=>0
[-1,-3,2]=>[2,1]=>0
[2,-1,3]=>[2]=>0
[2,-1,-3]=>[2,1]=>0
[-2,1,3]=>[2]=>0
[-2,1,-3]=>[2,1]=>0
[2,3,-1]=>[3]=>0
[2,-3,1]=>[3]=>0
[-2,3,1]=>[3]=>0
[-2,-3,-1]=>[3]=>0
[3,1,-2]=>[3]=>0
[3,-1,2]=>[3]=>0
[-3,1,2]=>[3]=>0
[-3,-1,-2]=>[3]=>0
[3,2,-1]=>[2]=>0
[3,-2,-1]=>[2,1]=>0
[-3,2,1]=>[2]=>0
[-3,-2,1]=>[2,1]=>0
[1,2,-3,-4]=>[1,1]=>1
[1,-2,3,-4]=>[1,1]=>1
[1,-2,-3,4]=>[1,1]=>1
[1,-2,-3,-4]=>[1,1,1]=>1
[-1,2,3,-4]=>[1,1]=>1
[-1,2,-3,4]=>[1,1]=>1
[-1,2,-3,-4]=>[1,1,1]=>1
[-1,-2,3,4]=>[1,1]=>1
[-1,-2,3,-4]=>[1,1,1]=>1
[-1,-2,-3,4]=>[1,1,1]=>1
[-1,-2,-3,-4]=>[1,1,1,1]=>1
[1,2,4,-3]=>[2]=>0
[1,2,-4,3]=>[2]=>0
[1,-2,4,-3]=>[2,1]=>0
[1,-2,-4,3]=>[2,1]=>0
[-1,2,4,-3]=>[2,1]=>0
[-1,2,-4,3]=>[2,1]=>0
[-1,-2,4,3]=>[1,1]=>1
[-1,-2,4,-3]=>[2,1,1]=>0
[-1,-2,-4,3]=>[2,1,1]=>0
[-1,-2,-4,-3]=>[1,1]=>1
[1,3,-2,4]=>[2]=>0
[1,3,-2,-4]=>[2,1]=>0
[1,-3,2,4]=>[2]=>0
[1,-3,2,-4]=>[2,1]=>0
[-1,3,2,-4]=>[1,1]=>1
[-1,3,-2,4]=>[2,1]=>0
[-1,3,-2,-4]=>[2,1,1]=>0
[-1,-3,2,4]=>[2,1]=>0
[-1,-3,2,-4]=>[2,1,1]=>0
[-1,-3,-2,-4]=>[1,1]=>1
[1,3,4,-2]=>[3]=>0
[1,3,-4,2]=>[3]=>0
[1,-3,4,2]=>[3]=>0
[1,-3,-4,-2]=>[3]=>0
[-1,3,4,-2]=>[3,1]=>0
[-1,3,-4,2]=>[3,1]=>0
[-1,-3,4,2]=>[3,1]=>0
[-1,-3,-4,-2]=>[3,1]=>0
[1,4,2,-3]=>[3]=>0
[1,4,-2,3]=>[3]=>0
[1,-4,2,3]=>[3]=>0
[1,-4,-2,-3]=>[3]=>0
[-1,4,2,-3]=>[3,1]=>0
[-1,4,-2,3]=>[3,1]=>0
[-1,-4,2,3]=>[3,1]=>0
[-1,-4,-2,-3]=>[3,1]=>0
[1,4,3,-2]=>[2]=>0
[1,4,-3,-2]=>[2,1]=>0
[1,-4,3,2]=>[2]=>0
[1,-4,-3,2]=>[2,1]=>0
[-1,4,3,-2]=>[2,1]=>0
[-1,4,-3,2]=>[1,1]=>1
[-1,4,-3,-2]=>[2,1,1]=>0
[-1,-4,3,2]=>[2,1]=>0
[-1,-4,-3,2]=>[2,1,1]=>0
[-1,-4,-3,-2]=>[1,1]=>1
[2,1,-3,-4]=>[1,1]=>1
[2,-1,3,4]=>[2]=>0
[2,-1,3,-4]=>[2,1]=>0
[2,-1,-3,4]=>[2,1]=>0
[2,-1,-3,-4]=>[2,1,1]=>0
[-2,1,3,4]=>[2]=>0
[-2,1,3,-4]=>[2,1]=>0
[-2,1,-3,4]=>[2,1]=>0
[-2,1,-3,-4]=>[2,1,1]=>0
[-2,-1,-3,-4]=>[1,1]=>1
[2,1,4,-3]=>[2]=>0
[2,1,-4,3]=>[2]=>0
[2,-1,4,3]=>[2]=>0
[2,-1,4,-3]=>[2,2]=>0
[2,-1,-4,3]=>[2,2]=>0
[2,-1,-4,-3]=>[2]=>0
[-2,1,4,3]=>[2]=>0
[-2,1,4,-3]=>[2,2]=>0
[-2,1,-4,3]=>[2,2]=>0
[-2,1,-4,-3]=>[2]=>0
[-2,-1,4,-3]=>[2]=>0
[-2,-1,-4,3]=>[2]=>0
[2,3,-1,4]=>[3]=>0
[2,3,-1,-4]=>[3,1]=>0
[2,-3,1,4]=>[3]=>0
[2,-3,1,-4]=>[3,1]=>0
[-2,3,1,4]=>[3]=>0
[-2,3,1,-4]=>[3,1]=>0
[-2,-3,-1,4]=>[3]=>0
[-2,-3,-1,-4]=>[3,1]=>0
[2,3,4,-1]=>[4]=>0
[2,3,-4,1]=>[4]=>0
[2,-3,4,1]=>[4]=>0
[2,-3,-4,-1]=>[4]=>0
[-2,3,4,1]=>[4]=>0
[-2,3,-4,-1]=>[4]=>0
[-2,-3,4,-1]=>[4]=>0
[-2,-3,-4,1]=>[4]=>0
[2,4,1,-3]=>[4]=>0
[2,4,-1,3]=>[4]=>0
[2,-4,1,3]=>[4]=>0
[2,-4,-1,-3]=>[4]=>0
[-2,4,1,3]=>[4]=>0
[-2,4,-1,-3]=>[4]=>0
[-2,-4,1,-3]=>[4]=>0
[-2,-4,-1,3]=>[4]=>0
[2,4,3,-1]=>[3]=>0
[2,4,-3,-1]=>[3,1]=>0
[2,-4,3,1]=>[3]=>0
[2,-4,-3,1]=>[3,1]=>0
[-2,4,3,1]=>[3]=>0
[-2,4,-3,1]=>[3,1]=>0
[-2,-4,3,-1]=>[3]=>0
[-2,-4,-3,-1]=>[3,1]=>0
[3,1,-2,4]=>[3]=>0
[3,1,-2,-4]=>[3,1]=>0
[3,-1,2,4]=>[3]=>0
[3,-1,2,-4]=>[3,1]=>0
[-3,1,2,4]=>[3]=>0
[-3,1,2,-4]=>[3,1]=>0
[-3,-1,-2,4]=>[3]=>0
[-3,-1,-2,-4]=>[3,1]=>0
[3,1,4,-2]=>[4]=>0
[3,1,-4,2]=>[4]=>0
[3,-1,4,2]=>[4]=>0
[3,-1,-4,-2]=>[4]=>0
[-3,1,4,2]=>[4]=>0
[-3,1,-4,-2]=>[4]=>0
[-3,-1,4,-2]=>[4]=>0
[-3,-1,-4,2]=>[4]=>0
[3,2,-1,4]=>[2]=>0
[3,2,-1,-4]=>[2,1]=>0
[3,-2,1,-4]=>[1,1]=>1
[3,-2,-1,4]=>[2,1]=>0
[3,-2,-1,-4]=>[2,1,1]=>0
[-3,2,1,4]=>[2]=>0
[-3,2,1,-4]=>[2,1]=>0
[-3,-2,1,4]=>[2,1]=>0
[-3,-2,1,-4]=>[2,1,1]=>0
[-3,-2,-1,-4]=>[1,1]=>1
[3,2,4,-1]=>[3]=>0
[3,2,-4,1]=>[3]=>0
[3,-2,4,-1]=>[3,1]=>0
[3,-2,-4,1]=>[3,1]=>0
[-3,2,4,1]=>[3]=>0
[-3,2,-4,-1]=>[3]=>0
[-3,-2,4,1]=>[3,1]=>0
[-3,-2,-4,-1]=>[3,1]=>0
[3,4,1,-2]=>[2]=>0
[3,4,-1,2]=>[2]=>0
[3,4,-1,-2]=>[2,2]=>0
[3,-4,1,2]=>[2]=>0
[3,-4,-1,2]=>[2,2]=>0
[3,-4,-1,-2]=>[2]=>0
[-3,4,1,2]=>[2]=>0
[-3,4,1,-2]=>[2,2]=>0
[-3,4,-1,-2]=>[2]=>0
[-3,-4,1,2]=>[2,2]=>0
[-3,-4,1,-2]=>[2]=>0
[-3,-4,-1,2]=>[2]=>0
[3,4,2,-1]=>[4]=>0
[3,4,-2,1]=>[4]=>0
[3,-4,2,1]=>[4]=>0
[3,-4,-2,-1]=>[4]=>0
[-3,4,2,1]=>[4]=>0
[-3,4,-2,-1]=>[4]=>0
[-3,-4,2,-1]=>[4]=>0
[-3,-4,-2,1]=>[4]=>0
[4,1,2,-3]=>[4]=>0
[4,1,-2,3]=>[4]=>0
[4,-1,2,3]=>[4]=>0
[4,-1,-2,-3]=>[4]=>0
[-4,1,2,3]=>[4]=>0
[-4,1,-2,-3]=>[4]=>0
[-4,-1,2,-3]=>[4]=>0
[-4,-1,-2,3]=>[4]=>0
[4,1,3,-2]=>[3]=>0
[4,1,-3,-2]=>[3,1]=>0
[4,-1,3,2]=>[3]=>0
[4,-1,-3,2]=>[3,1]=>0
[-4,1,3,2]=>[3]=>0
[-4,1,-3,2]=>[3,1]=>0
[-4,-1,3,-2]=>[3]=>0
[-4,-1,-3,-2]=>[3,1]=>0
[4,2,1,-3]=>[3]=>0
[4,2,-1,3]=>[3]=>0
[4,-2,1,-3]=>[3,1]=>0
[4,-2,-1,3]=>[3,1]=>0
[-4,2,1,3]=>[3]=>0
[-4,2,-1,-3]=>[3]=>0
[-4,-2,1,3]=>[3,1]=>0
[-4,-2,-1,-3]=>[3,1]=>0
[4,2,3,-1]=>[2]=>0
[4,2,-3,-1]=>[2,1]=>0
[4,-2,3,-1]=>[2,1]=>0
[4,-2,-3,1]=>[1,1]=>1
[4,-2,-3,-1]=>[2,1,1]=>0
[-4,2,3,1]=>[2]=>0
[-4,2,-3,1]=>[2,1]=>0
[-4,-2,3,1]=>[2,1]=>0
[-4,-2,-3,1]=>[2,1,1]=>0
[-4,-2,-3,-1]=>[1,1]=>1
[4,3,1,-2]=>[4]=>0
[4,3,-1,2]=>[4]=>0
[4,-3,1,2]=>[4]=>0
[4,-3,-1,-2]=>[4]=>0
[-4,3,1,2]=>[4]=>0
[-4,3,-1,-2]=>[4]=>0
[-4,-3,1,-2]=>[4]=>0
[-4,-3,-1,2]=>[4]=>0
[4,3,2,-1]=>[2]=>0
[4,3,-2,1]=>[2]=>0
[4,3,-2,-1]=>[2,2]=>0
[4,-3,2,1]=>[2]=>0
[4,-3,2,-1]=>[2,2]=>0
[4,-3,-2,-1]=>[2]=>0
[-4,3,2,1]=>[2]=>0
[-4,3,-2,1]=>[2,2]=>0
[-4,3,-2,-1]=>[2]=>0
[-4,-3,2,1]=>[2,2]=>0
[-4,-3,2,-1]=>[2]=>0
[-4,-3,-2,1]=>[2]=>0
[1,2,3,-4,-5]=>[1,1]=>1
[1,2,-3,4,-5]=>[1,1]=>1
[1,2,-3,-4,5]=>[1,1]=>1
[1,2,-3,-4,-5]=>[1,1,1]=>1
[1,-2,3,4,-5]=>[1,1]=>1
[1,-2,3,-4,5]=>[1,1]=>1
[1,-2,3,-4,-5]=>[1,1,1]=>1
[1,-2,-3,4,5]=>[1,1]=>1
[1,-2,-3,4,-5]=>[1,1,1]=>1
[1,-2,-3,-4,5]=>[1,1,1]=>1
[1,-2,-3,-4,-5]=>[1,1,1,1]=>1
[-1,2,3,4,-5]=>[1,1]=>1
[-1,2,3,-4,5]=>[1,1]=>1
[-1,2,3,-4,-5]=>[1,1,1]=>1
[-1,2,-3,4,5]=>[1,1]=>1
[-1,2,-3,4,-5]=>[1,1,1]=>1
[-1,2,-3,-4,5]=>[1,1,1]=>1
[-1,2,-3,-4,-5]=>[1,1,1,1]=>1
[-1,-2,3,4,5]=>[1,1]=>1
[-1,-2,3,4,-5]=>[1,1,1]=>1
[-1,-2,3,-4,5]=>[1,1,1]=>1
[-1,-2,3,-4,-5]=>[1,1,1,1]=>1
[-1,-2,-3,4,5]=>[1,1,1]=>1
[-1,-2,-3,4,-5]=>[1,1,1,1]=>1
[-1,-2,-3,-4,5]=>[1,1,1,1]=>1
[-1,-2,-3,-4,-5]=>[1,1,1,1,1]=>1
[1,2,3,5,-4]=>[2]=>0
[1,2,3,-5,4]=>[2]=>0
[1,2,-3,5,-4]=>[2,1]=>0
[1,2,-3,-5,4]=>[2,1]=>0
[1,-2,3,5,-4]=>[2,1]=>0
[1,-2,3,-5,4]=>[2,1]=>0
[1,-2,-3,5,4]=>[1,1]=>1
[1,-2,-3,5,-4]=>[2,1,1]=>0
[1,-2,-3,-5,4]=>[2,1,1]=>0
[1,-2,-3,-5,-4]=>[1,1]=>1
[-1,2,3,5,-4]=>[2,1]=>0
[-1,2,3,-5,4]=>[2,1]=>0
[-1,2,-3,5,4]=>[1,1]=>1
[-1,2,-3,5,-4]=>[2,1,1]=>0
[-1,2,-3,-5,4]=>[2,1,1]=>0
[-1,2,-3,-5,-4]=>[1,1]=>1
[-1,-2,3,5,4]=>[1,1]=>1
[-1,-2,3,5,-4]=>[2,1,1]=>0
[-1,-2,3,-5,4]=>[2,1,1]=>0
[-1,-2,3,-5,-4]=>[1,1]=>1
[-1,-2,-3,5,4]=>[1,1,1]=>1
[-1,-2,-3,5,-4]=>[2,1,1,1]=>0
[-1,-2,-3,-5,4]=>[2,1,1,1]=>0
[-1,-2,-3,-5,-4]=>[1,1,1]=>1
[1,2,4,-3,5]=>[2]=>0
[1,2,4,-3,-5]=>[2,1]=>0
[1,2,-4,3,5]=>[2]=>0
[1,2,-4,3,-5]=>[2,1]=>0
[1,-2,4,3,-5]=>[1,1]=>1
[1,-2,4,-3,5]=>[2,1]=>0
[1,-2,4,-3,-5]=>[2,1,1]=>0
[1,-2,-4,3,5]=>[2,1]=>0
[1,-2,-4,3,-5]=>[2,1,1]=>0
[1,-2,-4,-3,-5]=>[1,1]=>1
[-1,2,4,3,-5]=>[1,1]=>1
[-1,2,4,-3,5]=>[2,1]=>0
[-1,2,4,-3,-5]=>[2,1,1]=>0
[-1,2,-4,3,5]=>[2,1]=>0
[-1,2,-4,3,-5]=>[2,1,1]=>0
[-1,2,-4,-3,-5]=>[1,1]=>1
[-1,-2,4,3,5]=>[1,1]=>1
[-1,-2,4,3,-5]=>[1,1,1]=>1
[-1,-2,4,-3,5]=>[2,1,1]=>0
[-1,-2,4,-3,-5]=>[2,1,1,1]=>0
[-1,-2,-4,3,5]=>[2,1,1]=>0
[-1,-2,-4,3,-5]=>[2,1,1,1]=>0
[-1,-2,-4,-3,5]=>[1,1]=>1
[-1,-2,-4,-3,-5]=>[1,1,1]=>1
[1,2,4,5,-3]=>[3]=>0
[1,2,4,-5,3]=>[3]=>0
[1,2,-4,5,3]=>[3]=>0
[1,2,-4,-5,-3]=>[3]=>0
[1,-2,4,5,-3]=>[3,1]=>0
[1,-2,4,-5,3]=>[3,1]=>0
[1,-2,-4,5,3]=>[3,1]=>0
[1,-2,-4,-5,-3]=>[3,1]=>0
[-1,2,4,5,-3]=>[3,1]=>0
[-1,2,4,-5,3]=>[3,1]=>0
[-1,2,-4,5,3]=>[3,1]=>0
[-1,2,-4,-5,-3]=>[3,1]=>0
[-1,-2,4,5,3]=>[1,1]=>1
[-1,-2,4,5,-3]=>[3,1,1]=>0
[-1,-2,4,-5,3]=>[3,1,1]=>0
[-1,-2,4,-5,-3]=>[1,1]=>1
[-1,-2,-4,5,3]=>[3,1,1]=>0
[-1,-2,-4,5,-3]=>[1,1]=>1
[-1,-2,-4,-5,3]=>[1,1]=>1
[-1,-2,-4,-5,-3]=>[3,1,1]=>0
[1,2,5,3,-4]=>[3]=>0
[1,2,5,-3,4]=>[3]=>0
[1,2,-5,3,4]=>[3]=>0
[1,2,-5,-3,-4]=>[3]=>0
[1,-2,5,3,-4]=>[3,1]=>0
[1,-2,5,-3,4]=>[3,1]=>0
[1,-2,-5,3,4]=>[3,1]=>0
[1,-2,-5,-3,-4]=>[3,1]=>0
[-1,2,5,3,-4]=>[3,1]=>0
[-1,2,5,-3,4]=>[3,1]=>0
[-1,2,-5,3,4]=>[3,1]=>0
[-1,2,-5,-3,-4]=>[3,1]=>0
[-1,-2,5,3,4]=>[1,1]=>1
[-1,-2,5,3,-4]=>[3,1,1]=>0
[-1,-2,5,-3,4]=>[3,1,1]=>0
[-1,-2,5,-3,-4]=>[1,1]=>1
[-1,-2,-5,3,4]=>[3,1,1]=>0
[-1,-2,-5,3,-4]=>[1,1]=>1
[-1,-2,-5,-3,4]=>[1,1]=>1
[-1,-2,-5,-3,-4]=>[3,1,1]=>0
[1,2,5,4,-3]=>[2]=>0
[1,2,5,-4,-3]=>[2,1]=>0
[1,2,-5,4,3]=>[2]=>0
[1,2,-5,-4,3]=>[2,1]=>0
[1,-2,5,4,-3]=>[2,1]=>0
[1,-2,5,-4,3]=>[1,1]=>1
[1,-2,5,-4,-3]=>[2,1,1]=>0
[1,-2,-5,4,3]=>[2,1]=>0
[1,-2,-5,-4,3]=>[2,1,1]=>0
[1,-2,-5,-4,-3]=>[1,1]=>1
[-1,2,5,4,-3]=>[2,1]=>0
[-1,2,5,-4,3]=>[1,1]=>1
[-1,2,5,-4,-3]=>[2,1,1]=>0
[-1,2,-5,4,3]=>[2,1]=>0
[-1,2,-5,-4,3]=>[2,1,1]=>0
[-1,2,-5,-4,-3]=>[1,1]=>1
[-1,-2,5,4,3]=>[1,1]=>1
[-1,-2,5,4,-3]=>[2,1,1]=>0
[-1,-2,5,-4,3]=>[1,1,1]=>1
[-1,-2,5,-4,-3]=>[2,1,1,1]=>0
[-1,-2,-5,4,3]=>[2,1,1]=>0
[-1,-2,-5,4,-3]=>[1,1]=>1
[-1,-2,-5,-4,3]=>[2,1,1,1]=>0
[-1,-2,-5,-4,-3]=>[1,1,1]=>1
[1,3,2,-4,-5]=>[1,1]=>1
[1,3,-2,4,5]=>[2]=>0
[1,3,-2,4,-5]=>[2,1]=>0
[1,3,-2,-4,5]=>[2,1]=>0
[1,3,-2,-4,-5]=>[2,1,1]=>0
[1,-3,2,4,5]=>[2]=>0
[1,-3,2,4,-5]=>[2,1]=>0
[1,-3,2,-4,5]=>[2,1]=>0
[1,-3,2,-4,-5]=>[2,1,1]=>0
[1,-3,-2,-4,-5]=>[1,1]=>1
[-1,3,2,4,-5]=>[1,1]=>1
[-1,3,2,-4,5]=>[1,1]=>1
[-1,3,2,-4,-5]=>[1,1,1]=>1
[-1,3,-2,4,5]=>[2,1]=>0
[-1,3,-2,4,-5]=>[2,1,1]=>0
[-1,3,-2,-4,5]=>[2,1,1]=>0
[-1,3,-2,-4,-5]=>[2,1,1,1]=>0
[-1,-3,2,4,5]=>[2,1]=>0
[-1,-3,2,4,-5]=>[2,1,1]=>0
[-1,-3,2,-4,5]=>[2,1,1]=>0
[-1,-3,2,-4,-5]=>[2,1,1,1]=>0
[-1,-3,-2,4,-5]=>[1,1]=>1
[-1,-3,-2,-4,5]=>[1,1]=>1
[-1,-3,-2,-4,-5]=>[1,1,1]=>1
[1,3,2,5,-4]=>[2]=>0
[1,3,2,-5,4]=>[2]=>0
[1,3,-2,5,4]=>[2]=>0
[1,3,-2,5,-4]=>[2,2]=>0
[1,3,-2,-5,4]=>[2,2]=>0
[1,3,-2,-5,-4]=>[2]=>0
[1,-3,2,5,4]=>[2]=>0
[1,-3,2,5,-4]=>[2,2]=>0
[1,-3,2,-5,4]=>[2,2]=>0
[1,-3,2,-5,-4]=>[2]=>0
[1,-3,-2,5,-4]=>[2]=>0
[1,-3,-2,-5,4]=>[2]=>0
[-1,3,2,5,-4]=>[2,1]=>0
[-1,3,2,-5,4]=>[2,1]=>0
[-1,3,-2,5,4]=>[2,1]=>0
[-1,3,-2,5,-4]=>[2,2,1]=>0
[-1,3,-2,-5,4]=>[2,2,1]=>0
[-1,3,-2,-5,-4]=>[2,1]=>0
[-1,-3,2,5,4]=>[2,1]=>0
[-1,-3,2,5,-4]=>[2,2,1]=>0
[-1,-3,2,-5,4]=>[2,2,1]=>0
[-1,-3,2,-5,-4]=>[2,1]=>0
[-1,-3,-2,5,-4]=>[2,1]=>0
[-1,-3,-2,-5,4]=>[2,1]=>0
[1,3,4,-2,5]=>[3]=>0
[1,3,4,-2,-5]=>[3,1]=>0
[1,3,-4,2,5]=>[3]=>0
[1,3,-4,2,-5]=>[3,1]=>0
[1,-3,4,2,5]=>[3]=>0
[1,-3,4,2,-5]=>[3,1]=>0
[1,-3,-4,-2,5]=>[3]=>0
[1,-3,-4,-2,-5]=>[3,1]=>0
[-1,3,4,2,-5]=>[1,1]=>1
[-1,3,4,-2,5]=>[3,1]=>0
[-1,3,4,-2,-5]=>[3,1,1]=>0
[-1,3,-4,2,5]=>[3,1]=>0
[-1,3,-4,2,-5]=>[3,1,1]=>0
[-1,3,-4,-2,-5]=>[1,1]=>1
[-1,-3,4,2,5]=>[3,1]=>0
[-1,-3,4,2,-5]=>[3,1,1]=>0
[-1,-3,4,-2,-5]=>[1,1]=>1
[-1,-3,-4,2,-5]=>[1,1]=>1
[-1,-3,-4,-2,5]=>[3,1]=>0
[-1,-3,-4,-2,-5]=>[3,1,1]=>0
[1,3,4,5,-2]=>[4]=>0
[1,3,4,-5,2]=>[4]=>0
[1,3,-4,5,2]=>[4]=>0
[1,3,-4,-5,-2]=>[4]=>0
[1,-3,4,5,2]=>[4]=>0
[1,-3,4,-5,-2]=>[4]=>0
[1,-3,-4,5,-2]=>[4]=>0
[1,-3,-4,-5,2]=>[4]=>0
[-1,3,4,5,-2]=>[4,1]=>0
[-1,3,4,-5,2]=>[4,1]=>0
[-1,3,-4,5,2]=>[4,1]=>0
[-1,3,-4,-5,-2]=>[4,1]=>0
[-1,-3,4,5,2]=>[4,1]=>0
[-1,-3,4,-5,-2]=>[4,1]=>0
[-1,-3,-4,5,-2]=>[4,1]=>0
[-1,-3,-4,-5,2]=>[4,1]=>0
[1,3,5,2,-4]=>[4]=>0
[1,3,5,-2,4]=>[4]=>0
[1,3,-5,2,4]=>[4]=>0
[1,3,-5,-2,-4]=>[4]=>0
[1,-3,5,2,4]=>[4]=>0
[1,-3,5,-2,-4]=>[4]=>0
[1,-3,-5,2,-4]=>[4]=>0
[1,-3,-5,-2,4]=>[4]=>0
[-1,3,5,2,-4]=>[4,1]=>0
[-1,3,5,-2,4]=>[4,1]=>0
[-1,3,-5,2,4]=>[4,1]=>0
[-1,3,-5,-2,-4]=>[4,1]=>0
[-1,-3,5,2,4]=>[4,1]=>0
[-1,-3,5,-2,-4]=>[4,1]=>0
[-1,-3,-5,2,-4]=>[4,1]=>0
[-1,-3,-5,-2,4]=>[4,1]=>0
[1,3,5,4,-2]=>[3]=>0
[1,3,5,-4,-2]=>[3,1]=>0
[1,3,-5,4,2]=>[3]=>0
[1,3,-5,-4,2]=>[3,1]=>0
[1,-3,5,4,2]=>[3]=>0
[1,-3,5,-4,2]=>[3,1]=>0
[1,-3,-5,4,-2]=>[3]=>0
[1,-3,-5,-4,-2]=>[3,1]=>0
[-1,3,5,4,-2]=>[3,1]=>0
[-1,3,5,-4,2]=>[1,1]=>1
[-1,3,5,-4,-2]=>[3,1,1]=>0
[-1,3,-5,4,2]=>[3,1]=>0
[-1,3,-5,-4,2]=>[3,1,1]=>0
[-1,3,-5,-4,-2]=>[1,1]=>1
[-1,-3,5,4,2]=>[3,1]=>0
[-1,-3,5,-4,2]=>[3,1,1]=>0
[-1,-3,5,-4,-2]=>[1,1]=>1
[-1,-3,-5,4,-2]=>[3,1]=>0
[-1,-3,-5,-4,2]=>[1,1]=>1
[-1,-3,-5,-4,-2]=>[3,1,1]=>0
[1,4,2,-3,5]=>[3]=>0
[1,4,2,-3,-5]=>[3,1]=>0
[1,4,-2,3,5]=>[3]=>0
[1,4,-2,3,-5]=>[3,1]=>0
[1,-4,2,3,5]=>[3]=>0
[1,-4,2,3,-5]=>[3,1]=>0
[1,-4,-2,-3,5]=>[3]=>0
[1,-4,-2,-3,-5]=>[3,1]=>0
[-1,4,2,3,-5]=>[1,1]=>1
[-1,4,2,-3,5]=>[3,1]=>0
[-1,4,2,-3,-5]=>[3,1,1]=>0
[-1,4,-2,3,5]=>[3,1]=>0
[-1,4,-2,3,-5]=>[3,1,1]=>0
[-1,4,-2,-3,-5]=>[1,1]=>1
[-1,-4,2,3,5]=>[3,1]=>0
[-1,-4,2,3,-5]=>[3,1,1]=>0
[-1,-4,2,-3,-5]=>[1,1]=>1
[-1,-4,-2,3,-5]=>[1,1]=>1
[-1,-4,-2,-3,5]=>[3,1]=>0
[-1,-4,-2,-3,-5]=>[3,1,1]=>0
[1,4,2,5,-3]=>[4]=>0
[1,4,2,-5,3]=>[4]=>0
[1,4,-2,5,3]=>[4]=>0
[1,4,-2,-5,-3]=>[4]=>0
[1,-4,2,5,3]=>[4]=>0
[1,-4,2,-5,-3]=>[4]=>0
[1,-4,-2,5,-3]=>[4]=>0
[1,-4,-2,-5,3]=>[4]=>0
[-1,4,2,5,-3]=>[4,1]=>0
[-1,4,2,-5,3]=>[4,1]=>0
[-1,4,-2,5,3]=>[4,1]=>0
[-1,4,-2,-5,-3]=>[4,1]=>0
[-1,-4,2,5,3]=>[4,1]=>0
[-1,-4,2,-5,-3]=>[4,1]=>0
[-1,-4,-2,5,-3]=>[4,1]=>0
[-1,-4,-2,-5,3]=>[4,1]=>0
[1,4,3,-2,5]=>[2]=>0
[1,4,3,-2,-5]=>[2,1]=>0
[1,4,-3,2,-5]=>[1,1]=>1
[1,4,-3,-2,5]=>[2,1]=>0
[1,4,-3,-2,-5]=>[2,1,1]=>0
[1,-4,3,2,5]=>[2]=>0
[1,-4,3,2,-5]=>[2,1]=>0
[1,-4,-3,2,5]=>[2,1]=>0
[1,-4,-3,2,-5]=>[2,1,1]=>0
[1,-4,-3,-2,-5]=>[1,1]=>1
[-1,4,3,2,-5]=>[1,1]=>1
[-1,4,3,-2,5]=>[2,1]=>0
[-1,4,3,-2,-5]=>[2,1,1]=>0
[-1,4,-3,2,5]=>[1,1]=>1
[-1,4,-3,2,-5]=>[1,1,1]=>1
[-1,4,-3,-2,5]=>[2,1,1]=>0
[-1,4,-3,-2,-5]=>[2,1,1,1]=>0
[-1,-4,3,2,5]=>[2,1]=>0
[-1,-4,3,2,-5]=>[2,1,1]=>0
[-1,-4,3,-2,-5]=>[1,1]=>1
[-1,-4,-3,2,5]=>[2,1,1]=>0
[-1,-4,-3,2,-5]=>[2,1,1,1]=>0
[-1,-4,-3,-2,5]=>[1,1]=>1
[-1,-4,-3,-2,-5]=>[1,1,1]=>1
[1,4,3,5,-2]=>[3]=>0
[1,4,3,-5,2]=>[3]=>0
[1,4,-3,5,-2]=>[3,1]=>0
[1,4,-3,-5,2]=>[3,1]=>0
[1,-4,3,5,2]=>[3]=>0
[1,-4,3,-5,-2]=>[3]=>0
[1,-4,-3,5,2]=>[3,1]=>0
[1,-4,-3,-5,-2]=>[3,1]=>0
[-1,4,3,5,-2]=>[3,1]=>0
[-1,4,3,-5,2]=>[3,1]=>0
[-1,4,-3,5,2]=>[1,1]=>1
[-1,4,-3,5,-2]=>[3,1,1]=>0
[-1,4,-3,-5,2]=>[3,1,1]=>0
[-1,4,-3,-5,-2]=>[1,1]=>1
[-1,-4,3,5,2]=>[3,1]=>0
[-1,-4,3,-5,-2]=>[3,1]=>0
[-1,-4,-3,5,2]=>[3,1,1]=>0
[-1,-4,-3,5,-2]=>[1,1]=>1
[-1,-4,-3,-5,2]=>[1,1]=>1
[-1,-4,-3,-5,-2]=>[3,1,1]=>0
[1,4,5,2,-3]=>[2]=>0
[1,4,5,-2,3]=>[2]=>0
[1,4,5,-2,-3]=>[2,2]=>0
[1,4,-5,2,3]=>[2]=>0
[1,4,-5,-2,3]=>[2,2]=>0
[1,4,-5,-2,-3]=>[2]=>0
[1,-4,5,2,3]=>[2]=>0
[1,-4,5,2,-3]=>[2,2]=>0
[1,-4,5,-2,-3]=>[2]=>0
[1,-4,-5,2,3]=>[2,2]=>0
[1,-4,-5,2,-3]=>[2]=>0
[1,-4,-5,-2,3]=>[2]=>0
[-1,4,5,2,-3]=>[2,1]=>0
[-1,4,5,-2,3]=>[2,1]=>0
[-1,4,5,-2,-3]=>[2,2,1]=>0
[-1,4,-5,2,3]=>[2,1]=>0
[-1,4,-5,-2,3]=>[2,2,1]=>0
[-1,4,-5,-2,-3]=>[2,1]=>0
[-1,-4,5,2,3]=>[2,1]=>0
[-1,-4,5,2,-3]=>[2,2,1]=>0
[-1,-4,5,-2,-3]=>[2,1]=>0
[-1,-4,-5,2,3]=>[2,2,1]=>0
[-1,-4,-5,2,-3]=>[2,1]=>0
[-1,-4,-5,-2,3]=>[2,1]=>0
[1,4,5,3,-2]=>[4]=>0
[1,4,5,-3,2]=>[4]=>0
[1,4,-5,3,2]=>[4]=>0
[1,4,-5,-3,-2]=>[4]=>0
[1,-4,5,3,2]=>[4]=>0
[1,-4,5,-3,-2]=>[4]=>0
[1,-4,-5,3,-2]=>[4]=>0
[1,-4,-5,-3,2]=>[4]=>0
[-1,4,5,3,-2]=>[4,1]=>0
[-1,4,5,-3,2]=>[4,1]=>0
[-1,4,-5,3,2]=>[4,1]=>0
[-1,4,-5,-3,-2]=>[4,1]=>0
[-1,-4,5,3,2]=>[4,1]=>0
[-1,-4,5,-3,-2]=>[4,1]=>0
[-1,-4,-5,3,-2]=>[4,1]=>0
[-1,-4,-5,-3,2]=>[4,1]=>0
[1,5,2,3,-4]=>[4]=>0
[1,5,2,-3,4]=>[4]=>0
[1,5,-2,3,4]=>[4]=>0
[1,5,-2,-3,-4]=>[4]=>0
[1,-5,2,3,4]=>[4]=>0
[1,-5,2,-3,-4]=>[4]=>0
[1,-5,-2,3,-4]=>[4]=>0
[1,-5,-2,-3,4]=>[4]=>0
[-1,5,2,3,-4]=>[4,1]=>0
[-1,5,2,-3,4]=>[4,1]=>0
[-1,5,-2,3,4]=>[4,1]=>0
[-1,5,-2,-3,-4]=>[4,1]=>0
[-1,-5,2,3,4]=>[4,1]=>0
[-1,-5,2,-3,-4]=>[4,1]=>0
[-1,-5,-2,3,-4]=>[4,1]=>0
[-1,-5,-2,-3,4]=>[4,1]=>0
[1,5,2,4,-3]=>[3]=>0
[1,5,2,-4,-3]=>[3,1]=>0
[1,5,-2,4,3]=>[3]=>0
[1,5,-2,-4,3]=>[3,1]=>0
[1,-5,2,4,3]=>[3]=>0
[1,-5,2,-4,3]=>[3,1]=>0
[1,-5,-2,4,-3]=>[3]=>0
[1,-5,-2,-4,-3]=>[3,1]=>0
[-1,5,2,4,-3]=>[3,1]=>0
[-1,5,2,-4,3]=>[1,1]=>1
[-1,5,2,-4,-3]=>[3,1,1]=>0
[-1,5,-2,4,3]=>[3,1]=>0
[-1,5,-2,-4,3]=>[3,1,1]=>0
[-1,5,-2,-4,-3]=>[1,1]=>1
[-1,-5,2,4,3]=>[3,1]=>0
[-1,-5,2,-4,3]=>[3,1,1]=>0
[-1,-5,2,-4,-3]=>[1,1]=>1
[-1,-5,-2,4,-3]=>[3,1]=>0
[-1,-5,-2,-4,3]=>[1,1]=>1
[-1,-5,-2,-4,-3]=>[3,1,1]=>0
[1,5,3,2,-4]=>[3]=>0
[1,5,3,-2,4]=>[3]=>0
[1,5,-3,2,-4]=>[3,1]=>0
[1,5,-3,-2,4]=>[3,1]=>0
[1,-5,3,2,4]=>[3]=>0
[1,-5,3,-2,-4]=>[3]=>0
[1,-5,-3,2,4]=>[3,1]=>0
[1,-5,-3,-2,-4]=>[3,1]=>0
[-1,5,3,2,-4]=>[3,1]=>0
[-1,5,3,-2,4]=>[3,1]=>0
[-1,5,-3,2,4]=>[1,1]=>1
[-1,5,-3,2,-4]=>[3,1,1]=>0
[-1,5,-3,-2,4]=>[3,1,1]=>0
[-1,5,-3,-2,-4]=>[1,1]=>1
[-1,-5,3,2,4]=>[3,1]=>0
[-1,-5,3,-2,-4]=>[3,1]=>0
[-1,-5,-3,2,4]=>[3,1,1]=>0
[-1,-5,-3,2,-4]=>[1,1]=>1
[-1,-5,-3,-2,4]=>[1,1]=>1
[-1,-5,-3,-2,-4]=>[3,1,1]=>0
[1,5,3,4,-2]=>[2]=>0
[1,5,3,-4,-2]=>[2,1]=>0
[1,5,-3,4,-2]=>[2,1]=>0
[1,5,-3,-4,2]=>[1,1]=>1
[1,5,-3,-4,-2]=>[2,1,1]=>0
[1,-5,3,4,2]=>[2]=>0
[1,-5,3,-4,2]=>[2,1]=>0
[1,-5,-3,4,2]=>[2,1]=>0
[1,-5,-3,-4,2]=>[2,1,1]=>0
[1,-5,-3,-4,-2]=>[1,1]=>1
[-1,5,3,4,-2]=>[2,1]=>0
[-1,5,3,-4,2]=>[1,1]=>1
[-1,5,3,-4,-2]=>[2,1,1]=>0
[-1,5,-3,4,2]=>[1,1]=>1
[-1,5,-3,4,-2]=>[2,1,1]=>0
[-1,5,-3,-4,2]=>[1,1,1]=>1
[-1,5,-3,-4,-2]=>[2,1,1,1]=>0
[-1,-5,3,4,2]=>[2,1]=>0
[-1,-5,3,-4,2]=>[2,1,1]=>0
[-1,-5,3,-4,-2]=>[1,1]=>1
[-1,-5,-3,4,2]=>[2,1,1]=>0
[-1,-5,-3,4,-2]=>[1,1]=>1
[-1,-5,-3,-4,2]=>[2,1,1,1]=>0
[-1,-5,-3,-4,-2]=>[1,1,1]=>1
[1,5,4,2,-3]=>[4]=>0
[1,5,4,-2,3]=>[4]=>0
[1,5,-4,2,3]=>[4]=>0
[1,5,-4,-2,-3]=>[4]=>0
[1,-5,4,2,3]=>[4]=>0
[1,-5,4,-2,-3]=>[4]=>0
[1,-5,-4,2,-3]=>[4]=>0
[1,-5,-4,-2,3]=>[4]=>0
[-1,5,4,2,-3]=>[4,1]=>0
[-1,5,4,-2,3]=>[4,1]=>0
[-1,5,-4,2,3]=>[4,1]=>0
[-1,5,-4,-2,-3]=>[4,1]=>0
[-1,-5,4,2,3]=>[4,1]=>0
[-1,-5,4,-2,-3]=>[4,1]=>0
[-1,-5,-4,2,-3]=>[4,1]=>0
[-1,-5,-4,-2,3]=>[4,1]=>0
[1,5,4,3,-2]=>[2]=>0
[1,5,4,-3,2]=>[2]=>0
[1,5,4,-3,-2]=>[2,2]=>0
[1,5,-4,3,2]=>[2]=>0
[1,5,-4,3,-2]=>[2,2]=>0
[1,5,-4,-3,-2]=>[2]=>0
[1,-5,4,3,2]=>[2]=>0
[1,-5,4,-3,2]=>[2,2]=>0
[1,-5,4,-3,-2]=>[2]=>0
[1,-5,-4,3,2]=>[2,2]=>0
[1,-5,-4,3,-2]=>[2]=>0
[1,-5,-4,-3,2]=>[2]=>0
[-1,5,4,3,-2]=>[2,1]=>0
[-1,5,4,-3,2]=>[2,1]=>0
[-1,5,4,-3,-2]=>[2,2,1]=>0
[-1,5,-4,3,2]=>[2,1]=>0
[-1,5,-4,3,-2]=>[2,2,1]=>0
[-1,5,-4,-3,-2]=>[2,1]=>0
[-1,-5,4,3,2]=>[2,1]=>0
[-1,-5,4,-3,2]=>[2,2,1]=>0
[-1,-5,4,-3,-2]=>[2,1]=>0
[-1,-5,-4,3,2]=>[2,2,1]=>0
[-1,-5,-4,3,-2]=>[2,1]=>0
[-1,-5,-4,-3,2]=>[2,1]=>0
[2,1,3,-4,-5]=>[1,1]=>1
[2,1,-3,4,-5]=>[1,1]=>1
[2,1,-3,-4,5]=>[1,1]=>1
[2,1,-3,-4,-5]=>[1,1,1]=>1
[2,-1,3,4,5]=>[2]=>0
[2,-1,3,4,-5]=>[2,1]=>0
[2,-1,3,-4,5]=>[2,1]=>0
[2,-1,3,-4,-5]=>[2,1,1]=>0
[2,-1,-3,4,5]=>[2,1]=>0
[2,-1,-3,4,-5]=>[2,1,1]=>0
[2,-1,-3,-4,5]=>[2,1,1]=>0
[2,-1,-3,-4,-5]=>[2,1,1,1]=>0
[-2,1,3,4,5]=>[2]=>0
[-2,1,3,4,-5]=>[2,1]=>0
[-2,1,3,-4,5]=>[2,1]=>0
[-2,1,3,-4,-5]=>[2,1,1]=>0
[-2,1,-3,4,5]=>[2,1]=>0
[-2,1,-3,4,-5]=>[2,1,1]=>0
[-2,1,-3,-4,5]=>[2,1,1]=>0
[-2,1,-3,-4,-5]=>[2,1,1,1]=>0
[-2,-1,3,-4,-5]=>[1,1]=>1
[-2,-1,-3,4,-5]=>[1,1]=>1
[-2,-1,-3,-4,5]=>[1,1]=>1
[-2,-1,-3,-4,-5]=>[1,1,1]=>1
[2,1,3,5,-4]=>[2]=>0
[2,1,3,-5,4]=>[2]=>0
[2,1,-3,5,-4]=>[2,1]=>0
[2,1,-3,-5,4]=>[2,1]=>0
[2,-1,3,5,4]=>[2]=>0
[2,-1,3,5,-4]=>[2,2]=>0
[2,-1,3,-5,4]=>[2,2]=>0
[2,-1,3,-5,-4]=>[2]=>0
[2,-1,-3,5,4]=>[2,1]=>0
[2,-1,-3,5,-4]=>[2,2,1]=>0
[2,-1,-3,-5,4]=>[2,2,1]=>0
[2,-1,-3,-5,-4]=>[2,1]=>0
[-2,1,3,5,4]=>[2]=>0
[-2,1,3,5,-4]=>[2,2]=>0
[-2,1,3,-5,4]=>[2,2]=>0
[-2,1,3,-5,-4]=>[2]=>0
[-2,1,-3,5,4]=>[2,1]=>0
[-2,1,-3,5,-4]=>[2,2,1]=>0
[-2,1,-3,-5,4]=>[2,2,1]=>0
[-2,1,-3,-5,-4]=>[2,1]=>0
[-2,-1,3,5,-4]=>[2]=>0
[-2,-1,3,-5,4]=>[2]=>0
[-2,-1,-3,5,-4]=>[2,1]=>0
[-2,-1,-3,-5,4]=>[2,1]=>0
[2,1,4,-3,5]=>[2]=>0
[2,1,4,-3,-5]=>[2,1]=>0
[2,1,-4,3,5]=>[2]=>0
[2,1,-4,3,-5]=>[2,1]=>0
[2,-1,4,3,5]=>[2]=>0
[2,-1,4,3,-5]=>[2,1]=>0
[2,-1,4,-3,5]=>[2,2]=>0
[2,-1,4,-3,-5]=>[2,2,1]=>0
[2,-1,-4,3,5]=>[2,2]=>0
[2,-1,-4,3,-5]=>[2,2,1]=>0
[2,-1,-4,-3,5]=>[2]=>0
[2,-1,-4,-3,-5]=>[2,1]=>0
[-2,1,4,3,5]=>[2]=>0
[-2,1,4,3,-5]=>[2,1]=>0
[-2,1,4,-3,5]=>[2,2]=>0
[-2,1,4,-3,-5]=>[2,2,1]=>0
[-2,1,-4,3,5]=>[2,2]=>0
[-2,1,-4,3,-5]=>[2,2,1]=>0
[-2,1,-4,-3,5]=>[2]=>0
[-2,1,-4,-3,-5]=>[2,1]=>0
[-2,-1,4,-3,5]=>[2]=>0
[-2,-1,4,-3,-5]=>[2,1]=>0
[-2,-1,-4,3,5]=>[2]=>0
[-2,-1,-4,3,-5]=>[2,1]=>0
[2,1,4,5,-3]=>[3]=>0
[2,1,4,-5,3]=>[3]=>0
[2,1,-4,5,3]=>[3]=>0
[2,1,-4,-5,-3]=>[3]=>0
[2,-1,4,5,3]=>[2]=>0
[2,-1,4,5,-3]=>[3,2]=>0
[2,-1,4,-5,3]=>[3,2]=>0
[2,-1,4,-5,-3]=>[2]=>0
[2,-1,-4,5,3]=>[3,2]=>0
[2,-1,-4,5,-3]=>[2]=>0
[2,-1,-4,-5,3]=>[2]=>0
[2,-1,-4,-5,-3]=>[3,2]=>0
[-2,1,4,5,3]=>[2]=>0
[-2,1,4,5,-3]=>[3,2]=>0
[-2,1,4,-5,3]=>[3,2]=>0
[-2,1,4,-5,-3]=>[2]=>0
[-2,1,-4,5,3]=>[3,2]=>0
[-2,1,-4,5,-3]=>[2]=>0
[-2,1,-4,-5,3]=>[2]=>0
[-2,1,-4,-5,-3]=>[3,2]=>0
[-2,-1,4,5,-3]=>[3]=>0
[-2,-1,4,-5,3]=>[3]=>0
[-2,-1,-4,5,3]=>[3]=>0
[-2,-1,-4,-5,-3]=>[3]=>0
[2,1,5,3,-4]=>[3]=>0
[2,1,5,-3,4]=>[3]=>0
[2,1,-5,3,4]=>[3]=>0
[2,1,-5,-3,-4]=>[3]=>0
[2,-1,5,3,4]=>[2]=>0
[2,-1,5,3,-4]=>[3,2]=>0
[2,-1,5,-3,4]=>[3,2]=>0
[2,-1,5,-3,-4]=>[2]=>0
[2,-1,-5,3,4]=>[3,2]=>0
[2,-1,-5,3,-4]=>[2]=>0
[2,-1,-5,-3,4]=>[2]=>0
[2,-1,-5,-3,-4]=>[3,2]=>0
[-2,1,5,3,4]=>[2]=>0
[-2,1,5,3,-4]=>[3,2]=>0
[-2,1,5,-3,4]=>[3,2]=>0
[-2,1,5,-3,-4]=>[2]=>0
[-2,1,-5,3,4]=>[3,2]=>0
[-2,1,-5,3,-4]=>[2]=>0
[-2,1,-5,-3,4]=>[2]=>0
[-2,1,-5,-3,-4]=>[3,2]=>0
[-2,-1,5,3,-4]=>[3]=>0
[-2,-1,5,-3,4]=>[3]=>0
[-2,-1,-5,3,4]=>[3]=>0
[-2,-1,-5,-3,-4]=>[3]=>0
[2,1,5,4,-3]=>[2]=>0
[2,1,5,-4,-3]=>[2,1]=>0
[2,1,-5,4,3]=>[2]=>0
[2,1,-5,-4,3]=>[2,1]=>0
[2,-1,5,4,3]=>[2]=>0
[2,-1,5,4,-3]=>[2,2]=>0
[2,-1,5,-4,3]=>[2,1]=>0
[2,-1,5,-4,-3]=>[2,2,1]=>0
[2,-1,-5,4,3]=>[2,2]=>0
[2,-1,-5,4,-3]=>[2]=>0
[2,-1,-5,-4,3]=>[2,2,1]=>0
[2,-1,-5,-4,-3]=>[2,1]=>0
[-2,1,5,4,3]=>[2]=>0
[-2,1,5,4,-3]=>[2,2]=>0
[-2,1,5,-4,3]=>[2,1]=>0
[-2,1,5,-4,-3]=>[2,2,1]=>0
[-2,1,-5,4,3]=>[2,2]=>0
[-2,1,-5,4,-3]=>[2]=>0
[-2,1,-5,-4,3]=>[2,2,1]=>0
[-2,1,-5,-4,-3]=>[2,1]=>0
[-2,-1,5,4,-3]=>[2]=>0
[-2,-1,5,-4,-3]=>[2,1]=>0
[-2,-1,-5,4,3]=>[2]=>0
[-2,-1,-5,-4,3]=>[2,1]=>0
[2,3,1,-4,-5]=>[1,1]=>1
[2,3,-1,4,5]=>[3]=>0
[2,3,-1,4,-5]=>[3,1]=>0
[2,3,-1,-4,5]=>[3,1]=>0
[2,3,-1,-4,-5]=>[3,1,1]=>0
[2,-3,1,4,5]=>[3]=>0
[2,-3,1,4,-5]=>[3,1]=>0
[2,-3,1,-4,5]=>[3,1]=>0
[2,-3,1,-4,-5]=>[3,1,1]=>0
[2,-3,-1,-4,-5]=>[1,1]=>1
[-2,3,1,4,5]=>[3]=>0
[-2,3,1,4,-5]=>[3,1]=>0
[-2,3,1,-4,5]=>[3,1]=>0
[-2,3,1,-4,-5]=>[3,1,1]=>0
[-2,3,-1,-4,-5]=>[1,1]=>1
[-2,-3,1,-4,-5]=>[1,1]=>1
[-2,-3,-1,4,5]=>[3]=>0
[-2,-3,-1,4,-5]=>[3,1]=>0
[-2,-3,-1,-4,5]=>[3,1]=>0
[-2,-3,-1,-4,-5]=>[3,1,1]=>0
[2,3,1,5,-4]=>[2]=>0
[2,3,1,-5,4]=>[2]=>0
[2,3,-1,5,4]=>[3]=>0
[2,3,-1,5,-4]=>[3,2]=>0
[2,3,-1,-5,4]=>[3,2]=>0
[2,3,-1,-5,-4]=>[3]=>0
[2,-3,1,5,4]=>[3]=>0
[2,-3,1,5,-4]=>[3,2]=>0
[2,-3,1,-5,4]=>[3,2]=>0
[2,-3,1,-5,-4]=>[3]=>0
[2,-3,-1,5,-4]=>[2]=>0
[2,-3,-1,-5,4]=>[2]=>0
[-2,3,1,5,4]=>[3]=>0
[-2,3,1,5,-4]=>[3,2]=>0
[-2,3,1,-5,4]=>[3,2]=>0
[-2,3,1,-5,-4]=>[3]=>0
[-2,3,-1,5,-4]=>[2]=>0
[-2,3,-1,-5,4]=>[2]=>0
[-2,-3,1,5,-4]=>[2]=>0
[-2,-3,1,-5,4]=>[2]=>0
[-2,-3,-1,5,4]=>[3]=>0
[-2,-3,-1,5,-4]=>[3,2]=>0
[-2,-3,-1,-5,4]=>[3,2]=>0
[-2,-3,-1,-5,-4]=>[3]=>0
[2,3,4,-1,5]=>[4]=>0
[2,3,4,-1,-5]=>[4,1]=>0
[2,3,-4,1,5]=>[4]=>0
[2,3,-4,1,-5]=>[4,1]=>0
[2,-3,4,1,5]=>[4]=>0
[2,-3,4,1,-5]=>[4,1]=>0
[2,-3,-4,-1,5]=>[4]=>0
[2,-3,-4,-1,-5]=>[4,1]=>0
[-2,3,4,1,5]=>[4]=>0
[-2,3,4,1,-5]=>[4,1]=>0
[-2,3,-4,-1,5]=>[4]=>0
[-2,3,-4,-1,-5]=>[4,1]=>0
[-2,-3,4,-1,5]=>[4]=>0
[-2,-3,4,-1,-5]=>[4,1]=>0
[-2,-3,-4,1,5]=>[4]=>0
[-2,-3,-4,1,-5]=>[4,1]=>0
[2,3,4,5,-1]=>[5]=>0
[2,3,4,-5,1]=>[5]=>0
[2,3,-4,5,1]=>[5]=>0
[2,3,-4,-5,-1]=>[5]=>0
[2,-3,4,5,1]=>[5]=>0
[2,-3,4,-5,-1]=>[5]=>0
[2,-3,-4,5,-1]=>[5]=>0
[2,-3,-4,-5,1]=>[5]=>0
[-2,3,4,5,1]=>[5]=>0
[-2,3,4,-5,-1]=>[5]=>0
[-2,3,-4,5,-1]=>[5]=>0
[-2,3,-4,-5,1]=>[5]=>0
[-2,-3,4,5,-1]=>[5]=>0
[-2,-3,4,-5,1]=>[5]=>0
[-2,-3,-4,5,1]=>[5]=>0
[-2,-3,-4,-5,-1]=>[5]=>0
[2,3,5,1,-4]=>[5]=>0
[2,3,5,-1,4]=>[5]=>0
[2,3,-5,1,4]=>[5]=>0
[2,3,-5,-1,-4]=>[5]=>0
[2,-3,5,1,4]=>[5]=>0
[2,-3,5,-1,-4]=>[5]=>0
[2,-3,-5,1,-4]=>[5]=>0
[2,-3,-5,-1,4]=>[5]=>0
[-2,3,5,1,4]=>[5]=>0
[-2,3,5,-1,-4]=>[5]=>0
[-2,3,-5,1,-4]=>[5]=>0
[-2,3,-5,-1,4]=>[5]=>0
[-2,-3,5,1,-4]=>[5]=>0
[-2,-3,5,-1,4]=>[5]=>0
[-2,-3,-5,1,4]=>[5]=>0
[-2,-3,-5,-1,-4]=>[5]=>0
[2,3,5,4,-1]=>[4]=>0
[2,3,5,-4,-1]=>[4,1]=>0
[2,3,-5,4,1]=>[4]=>0
[2,3,-5,-4,1]=>[4,1]=>0
[2,-3,5,4,1]=>[4]=>0
[2,-3,5,-4,1]=>[4,1]=>0
[2,-3,-5,4,-1]=>[4]=>0
[2,-3,-5,-4,-1]=>[4,1]=>0
[-2,3,5,4,1]=>[4]=>0
[-2,3,5,-4,1]=>[4,1]=>0
[-2,3,-5,4,-1]=>[4]=>0
[-2,3,-5,-4,-1]=>[4,1]=>0
[-2,-3,5,4,-1]=>[4]=>0
[-2,-3,5,-4,-1]=>[4,1]=>0
[-2,-3,-5,4,1]=>[4]=>0
[-2,-3,-5,-4,1]=>[4,1]=>0
[2,4,1,-3,5]=>[4]=>0
[2,4,1,-3,-5]=>[4,1]=>0
[2,4,-1,3,5]=>[4]=>0
[2,4,-1,3,-5]=>[4,1]=>0
[2,-4,1,3,5]=>[4]=>0
[2,-4,1,3,-5]=>[4,1]=>0
[2,-4,-1,-3,5]=>[4]=>0
[2,-4,-1,-3,-5]=>[4,1]=>0
[-2,4,1,3,5]=>[4]=>0
[-2,4,1,3,-5]=>[4,1]=>0
[-2,4,-1,-3,5]=>[4]=>0
[-2,4,-1,-3,-5]=>[4,1]=>0
[-2,-4,1,-3,5]=>[4]=>0
[-2,-4,1,-3,-5]=>[4,1]=>0
[-2,-4,-1,3,5]=>[4]=>0
[-2,-4,-1,3,-5]=>[4,1]=>0
[2,4,1,5,-3]=>[5]=>0
[2,4,1,-5,3]=>[5]=>0
[2,4,-1,5,3]=>[5]=>0
[2,4,-1,-5,-3]=>[5]=>0
[2,-4,1,5,3]=>[5]=>0
[2,-4,1,-5,-3]=>[5]=>0
[2,-4,-1,5,-3]=>[5]=>0
[2,-4,-1,-5,3]=>[5]=>0
[-2,4,1,5,3]=>[5]=>0
[-2,4,1,-5,-3]=>[5]=>0
[-2,4,-1,5,-3]=>[5]=>0
[-2,4,-1,-5,3]=>[5]=>0
[-2,-4,1,5,-3]=>[5]=>0
[-2,-4,1,-5,3]=>[5]=>0
[-2,-4,-1,5,3]=>[5]=>0
[-2,-4,-1,-5,-3]=>[5]=>0
[2,4,3,-1,5]=>[3]=>0
[2,4,3,-1,-5]=>[3,1]=>0
[2,4,-3,1,-5]=>[1,1]=>1
[2,4,-3,-1,5]=>[3,1]=>0
[2,4,-3,-1,-5]=>[3,1,1]=>0
[2,-4,3,1,5]=>[3]=>0
[2,-4,3,1,-5]=>[3,1]=>0
[2,-4,-3,1,5]=>[3,1]=>0
[2,-4,-3,1,-5]=>[3,1,1]=>0
[2,-4,-3,-1,-5]=>[1,1]=>1
[-2,4,3,1,5]=>[3]=>0
[-2,4,3,1,-5]=>[3,1]=>0
[-2,4,-3,1,5]=>[3,1]=>0
[-2,4,-3,1,-5]=>[3,1,1]=>0
[-2,4,-3,-1,-5]=>[1,1]=>1
[-2,-4,3,-1,5]=>[3]=>0
[-2,-4,3,-1,-5]=>[3,1]=>0
[-2,-4,-3,1,-5]=>[1,1]=>1
[-2,-4,-3,-1,5]=>[3,1]=>0
[-2,-4,-3,-1,-5]=>[3,1,1]=>0
[2,4,3,5,-1]=>[4]=>0
[2,4,3,-5,1]=>[4]=>0
[2,4,-3,5,-1]=>[4,1]=>0
[2,4,-3,-5,1]=>[4,1]=>0
[2,-4,3,5,1]=>[4]=>0
[2,-4,3,-5,-1]=>[4]=>0
[2,-4,-3,5,1]=>[4,1]=>0
[2,-4,-3,-5,-1]=>[4,1]=>0
[-2,4,3,5,1]=>[4]=>0
[-2,4,3,-5,-1]=>[4]=>0
[-2,4,-3,5,1]=>[4,1]=>0
[-2,4,-3,-5,-1]=>[4,1]=>0
[-2,-4,3,5,-1]=>[4]=>0
[-2,-4,3,-5,1]=>[4]=>0
[-2,-4,-3,5,-1]=>[4,1]=>0
[-2,-4,-3,-5,1]=>[4,1]=>0
[2,4,5,1,-3]=>[2]=>0
[2,4,5,-1,3]=>[3]=>0
[2,4,5,-1,-3]=>[3,2]=>0
[2,4,-5,1,3]=>[2]=>0
[2,4,-5,-1,3]=>[3,2]=>0
[2,4,-5,-1,-3]=>[3]=>0
[2,-4,5,1,3]=>[3]=>0
[2,-4,5,1,-3]=>[3,2]=>0
[2,-4,5,-1,-3]=>[2]=>0
[2,-4,-5,1,3]=>[3,2]=>0
[2,-4,-5,1,-3]=>[3]=>0
[2,-4,-5,-1,3]=>[2]=>0
[-2,4,5,1,3]=>[3]=>0
[-2,4,5,1,-3]=>[3,2]=>0
[-2,4,5,-1,-3]=>[2]=>0
[-2,4,-5,1,3]=>[3,2]=>0
[-2,4,-5,1,-3]=>[3]=>0
[-2,4,-5,-1,3]=>[2]=>0
[-2,-4,5,1,-3]=>[2]=>0
[-2,-4,5,-1,3]=>[3]=>0
[-2,-4,5,-1,-3]=>[3,2]=>0
[-2,-4,-5,1,3]=>[2]=>0
[-2,-4,-5,-1,3]=>[3,2]=>0
[-2,-4,-5,-1,-3]=>[3]=>0
[2,4,5,3,-1]=>[5]=>0
[2,4,5,-3,1]=>[5]=>0
[2,4,-5,3,1]=>[5]=>0
[2,4,-5,-3,-1]=>[5]=>0
[2,-4,5,3,1]=>[5]=>0
[2,-4,5,-3,-1]=>[5]=>0
[2,-4,-5,3,-1]=>[5]=>0
[2,-4,-5,-3,1]=>[5]=>0
[-2,4,5,3,1]=>[5]=>0
[-2,4,5,-3,-1]=>[5]=>0
[-2,4,-5,3,-1]=>[5]=>0
[-2,4,-5,-3,1]=>[5]=>0
[-2,-4,5,3,-1]=>[5]=>0
[-2,-4,5,-3,1]=>[5]=>0
[-2,-4,-5,3,1]=>[5]=>0
[-2,-4,-5,-3,-1]=>[5]=>0
[2,5,1,3,-4]=>[5]=>0
[2,5,1,-3,4]=>[5]=>0
[2,5,-1,3,4]=>[5]=>0
[2,5,-1,-3,-4]=>[5]=>0
[2,-5,1,3,4]=>[5]=>0
[2,-5,1,-3,-4]=>[5]=>0
[2,-5,-1,3,-4]=>[5]=>0
[2,-5,-1,-3,4]=>[5]=>0
[-2,5,1,3,4]=>[5]=>0
[-2,5,1,-3,-4]=>[5]=>0
[-2,5,-1,3,-4]=>[5]=>0
[-2,5,-1,-3,4]=>[5]=>0
[-2,-5,1,3,-4]=>[5]=>0
[-2,-5,1,-3,4]=>[5]=>0
[-2,-5,-1,3,4]=>[5]=>0
[-2,-5,-1,-3,-4]=>[5]=>0
[2,5,1,4,-3]=>[4]=>0
[2,5,1,-4,-3]=>[4,1]=>0
[2,5,-1,4,3]=>[4]=>0
[2,5,-1,-4,3]=>[4,1]=>0
[2,-5,1,4,3]=>[4]=>0
[2,-5,1,-4,3]=>[4,1]=>0
[2,-5,-1,4,-3]=>[4]=>0
[2,-5,-1,-4,-3]=>[4,1]=>0
[-2,5,1,4,3]=>[4]=>0
[-2,5,1,-4,3]=>[4,1]=>0
[-2,5,-1,4,-3]=>[4]=>0
[-2,5,-1,-4,-3]=>[4,1]=>0
[-2,-5,1,4,-3]=>[4]=>0
[-2,-5,1,-4,-3]=>[4,1]=>0
[-2,-5,-1,4,3]=>[4]=>0
[-2,-5,-1,-4,3]=>[4,1]=>0
[2,5,3,1,-4]=>[4]=>0
[2,5,3,-1,4]=>[4]=>0
[2,5,-3,1,-4]=>[4,1]=>0
[2,5,-3,-1,4]=>[4,1]=>0
[2,-5,3,1,4]=>[4]=>0
[2,-5,3,-1,-4]=>[4]=>0
[2,-5,-3,1,4]=>[4,1]=>0
[2,-5,-3,-1,-4]=>[4,1]=>0
[-2,5,3,1,4]=>[4]=>0
[-2,5,3,-1,-4]=>[4]=>0
[-2,5,-3,1,4]=>[4,1]=>0
[-2,5,-3,-1,-4]=>[4,1]=>0
[-2,-5,3,1,-4]=>[4]=>0
[-2,-5,3,-1,4]=>[4]=>0
[-2,-5,-3,1,-4]=>[4,1]=>0
[-2,-5,-3,-1,4]=>[4,1]=>0
[2,5,3,4,-1]=>[3]=>0
[2,5,3,-4,-1]=>[3,1]=>0
[2,5,-3,4,-1]=>[3,1]=>0
[2,5,-3,-4,1]=>[1,1]=>1
[2,5,-3,-4,-1]=>[3,1,1]=>0
[2,-5,3,4,1]=>[3]=>0
[2,-5,3,-4,1]=>[3,1]=>0
[2,-5,-3,4,1]=>[3,1]=>0
[2,-5,-3,-4,1]=>[3,1,1]=>0
[2,-5,-3,-4,-1]=>[1,1]=>1
[-2,5,3,4,1]=>[3]=>0
[-2,5,3,-4,1]=>[3,1]=>0
[-2,5,-3,4,1]=>[3,1]=>0
[-2,5,-3,-4,1]=>[3,1,1]=>0
[-2,5,-3,-4,-1]=>[1,1]=>1
[-2,-5,3,4,-1]=>[3]=>0
[-2,-5,3,-4,-1]=>[3,1]=>0
[-2,-5,-3,4,-1]=>[3,1]=>0
[-2,-5,-3,-4,1]=>[1,1]=>1
[-2,-5,-3,-4,-1]=>[3,1,1]=>0
[2,5,4,1,-3]=>[5]=>0
[2,5,4,-1,3]=>[5]=>0
[2,5,-4,1,3]=>[5]=>0
[2,5,-4,-1,-3]=>[5]=>0
[2,-5,4,1,3]=>[5]=>0
[2,-5,4,-1,-3]=>[5]=>0
[2,-5,-4,1,-3]=>[5]=>0
[2,-5,-4,-1,3]=>[5]=>0
[-2,5,4,1,3]=>[5]=>0
[-2,5,4,-1,-3]=>[5]=>0
[-2,5,-4,1,-3]=>[5]=>0
[-2,5,-4,-1,3]=>[5]=>0
[-2,-5,4,1,-3]=>[5]=>0
[-2,-5,4,-1,3]=>[5]=>0
[-2,-5,-4,1,3]=>[5]=>0
[-2,-5,-4,-1,-3]=>[5]=>0
[2,5,4,3,-1]=>[3]=>0
[2,5,4,-3,1]=>[2]=>0
[2,5,4,-3,-1]=>[3,2]=>0
[2,5,-4,3,1]=>[2]=>0
[2,5,-4,3,-1]=>[3,2]=>0
[2,5,-4,-3,-1]=>[3]=>0
[2,-5,4,3,1]=>[3]=>0
[2,-5,4,-3,1]=>[3,2]=>0
[2,-5,4,-3,-1]=>[2]=>0
[2,-5,-4,3,1]=>[3,2]=>0
[2,-5,-4,3,-1]=>[2]=>0
[2,-5,-4,-3,1]=>[3]=>0
[-2,5,4,3,1]=>[3]=>0
[-2,5,4,-3,1]=>[3,2]=>0
[-2,5,4,-3,-1]=>[2]=>0
[-2,5,-4,3,1]=>[3,2]=>0
[-2,5,-4,3,-1]=>[2]=>0
[-2,5,-4,-3,1]=>[3]=>0
[-2,-5,4,3,-1]=>[3]=>0
[-2,-5,4,-3,1]=>[2]=>0
[-2,-5,4,-3,-1]=>[3,2]=>0
[-2,-5,-4,3,1]=>[2]=>0
[-2,-5,-4,3,-1]=>[3,2]=>0
[-2,-5,-4,-3,-1]=>[3]=>0
[3,1,2,-4,-5]=>[1,1]=>1
[3,1,-2,4,5]=>[3]=>0
[3,1,-2,4,-5]=>[3,1]=>0
[3,1,-2,-4,5]=>[3,1]=>0
[3,1,-2,-4,-5]=>[3,1,1]=>0
[3,-1,2,4,5]=>[3]=>0
[3,-1,2,4,-5]=>[3,1]=>0
[3,-1,2,-4,5]=>[3,1]=>0
[3,-1,2,-4,-5]=>[3,1,1]=>0
[3,-1,-2,-4,-5]=>[1,1]=>1
[-3,1,2,4,5]=>[3]=>0
[-3,1,2,4,-5]=>[3,1]=>0
[-3,1,2,-4,5]=>[3,1]=>0
[-3,1,2,-4,-5]=>[3,1,1]=>0
[-3,1,-2,-4,-5]=>[1,1]=>1
[-3,-1,2,-4,-5]=>[1,1]=>1
[-3,-1,-2,4,5]=>[3]=>0
[-3,-1,-2,4,-5]=>[3,1]=>0
[-3,-1,-2,-4,5]=>[3,1]=>0
[-3,-1,-2,-4,-5]=>[3,1,1]=>0
[3,1,2,5,-4]=>[2]=>0
[3,1,2,-5,4]=>[2]=>0
[3,1,-2,5,4]=>[3]=>0
[3,1,-2,5,-4]=>[3,2]=>0
[3,1,-2,-5,4]=>[3,2]=>0
[3,1,-2,-5,-4]=>[3]=>0
[3,-1,2,5,4]=>[3]=>0
[3,-1,2,5,-4]=>[3,2]=>0
[3,-1,2,-5,4]=>[3,2]=>0
[3,-1,2,-5,-4]=>[3]=>0
[3,-1,-2,5,-4]=>[2]=>0
[3,-1,-2,-5,4]=>[2]=>0
[-3,1,2,5,4]=>[3]=>0
[-3,1,2,5,-4]=>[3,2]=>0
[-3,1,2,-5,4]=>[3,2]=>0
[-3,1,2,-5,-4]=>[3]=>0
[-3,1,-2,5,-4]=>[2]=>0
[-3,1,-2,-5,4]=>[2]=>0
[-3,-1,2,5,-4]=>[2]=>0
[-3,-1,2,-5,4]=>[2]=>0
[-3,-1,-2,5,4]=>[3]=>0
[-3,-1,-2,5,-4]=>[3,2]=>0
[-3,-1,-2,-5,4]=>[3,2]=>0
[-3,-1,-2,-5,-4]=>[3]=>0
[3,1,4,-2,5]=>[4]=>0
[3,1,4,-2,-5]=>[4,1]=>0
[3,1,-4,2,5]=>[4]=>0
[3,1,-4,2,-5]=>[4,1]=>0
[3,-1,4,2,5]=>[4]=>0
[3,-1,4,2,-5]=>[4,1]=>0
[3,-1,-4,-2,5]=>[4]=>0
[3,-1,-4,-2,-5]=>[4,1]=>0
[-3,1,4,2,5]=>[4]=>0
[-3,1,4,2,-5]=>[4,1]=>0
[-3,1,-4,-2,5]=>[4]=>0
[-3,1,-4,-2,-5]=>[4,1]=>0
[-3,-1,4,-2,5]=>[4]=>0
[-3,-1,4,-2,-5]=>[4,1]=>0
[-3,-1,-4,2,5]=>[4]=>0
[-3,-1,-4,2,-5]=>[4,1]=>0
[3,1,4,5,-2]=>[5]=>0
[3,1,4,-5,2]=>[5]=>0
[3,1,-4,5,2]=>[5]=>0
[3,1,-4,-5,-2]=>[5]=>0
[3,-1,4,5,2]=>[5]=>0
[3,-1,4,-5,-2]=>[5]=>0
[3,-1,-4,5,-2]=>[5]=>0
[3,-1,-4,-5,2]=>[5]=>0
[-3,1,4,5,2]=>[5]=>0
[-3,1,4,-5,-2]=>[5]=>0
[-3,1,-4,5,-2]=>[5]=>0
[-3,1,-4,-5,2]=>[5]=>0
[-3,-1,4,5,-2]=>[5]=>0
[-3,-1,4,-5,2]=>[5]=>0
[-3,-1,-4,5,2]=>[5]=>0
[-3,-1,-4,-5,-2]=>[5]=>0
[3,1,5,2,-4]=>[5]=>0
[3,1,5,-2,4]=>[5]=>0
[3,1,-5,2,4]=>[5]=>0
[3,1,-5,-2,-4]=>[5]=>0
[3,-1,5,2,4]=>[5]=>0
[3,-1,5,-2,-4]=>[5]=>0
[3,-1,-5,2,-4]=>[5]=>0
[3,-1,-5,-2,4]=>[5]=>0
[-3,1,5,2,4]=>[5]=>0
[-3,1,5,-2,-4]=>[5]=>0
[-3,1,-5,2,-4]=>[5]=>0
[-3,1,-5,-2,4]=>[5]=>0
[-3,-1,5,2,-4]=>[5]=>0
[-3,-1,5,-2,4]=>[5]=>0
[-3,-1,-5,2,4]=>[5]=>0
[-3,-1,-5,-2,-4]=>[5]=>0
[3,1,5,4,-2]=>[4]=>0
[3,1,5,-4,-2]=>[4,1]=>0
[3,1,-5,4,2]=>[4]=>0
[3,1,-5,-4,2]=>[4,1]=>0
[3,-1,5,4,2]=>[4]=>0
[3,-1,5,-4,2]=>[4,1]=>0
[3,-1,-5,4,-2]=>[4]=>0
[3,-1,-5,-4,-2]=>[4,1]=>0
[-3,1,5,4,2]=>[4]=>0
[-3,1,5,-4,2]=>[4,1]=>0
[-3,1,-5,4,-2]=>[4]=>0
[-3,1,-5,-4,-2]=>[4,1]=>0
[-3,-1,5,4,-2]=>[4]=>0
[-3,-1,5,-4,-2]=>[4,1]=>0
[-3,-1,-5,4,2]=>[4]=>0
[-3,-1,-5,-4,2]=>[4,1]=>0
[3,2,1,-4,-5]=>[1,1]=>1
[3,2,-1,4,5]=>[2]=>0
[3,2,-1,4,-5]=>[2,1]=>0
[3,2,-1,-4,5]=>[2,1]=>0
[3,2,-1,-4,-5]=>[2,1,1]=>0
[3,-2,1,4,-5]=>[1,1]=>1
[3,-2,1,-4,5]=>[1,1]=>1
[3,-2,1,-4,-5]=>[1,1,1]=>1
[3,-2,-1,4,5]=>[2,1]=>0
[3,-2,-1,4,-5]=>[2,1,1]=>0
[3,-2,-1,-4,5]=>[2,1,1]=>0
[3,-2,-1,-4,-5]=>[2,1,1,1]=>0
[-3,2,1,4,5]=>[2]=>0
[-3,2,1,4,-5]=>[2,1]=>0
[-3,2,1,-4,5]=>[2,1]=>0
[-3,2,1,-4,-5]=>[2,1,1]=>0
[-3,2,-1,-4,-5]=>[1,1]=>1
[-3,-2,1,4,5]=>[2,1]=>0
[-3,-2,1,4,-5]=>[2,1,1]=>0
[-3,-2,1,-4,5]=>[2,1,1]=>0
[-3,-2,1,-4,-5]=>[2,1,1,1]=>0
[-3,-2,-1,4,-5]=>[1,1]=>1
[-3,-2,-1,-4,5]=>[1,1]=>1
[-3,-2,-1,-4,-5]=>[1,1,1]=>1
[3,2,1,5,-4]=>[2]=>0
[3,2,1,-5,4]=>[2]=>0
[3,2,-1,5,4]=>[2]=>0
[3,2,-1,5,-4]=>[2,2]=>0
[3,2,-1,-5,4]=>[2,2]=>0
[3,2,-1,-5,-4]=>[2]=>0
[3,-2,1,5,-4]=>[2,1]=>0
[3,-2,1,-5,4]=>[2,1]=>0
[3,-2,-1,5,4]=>[2,1]=>0
[3,-2,-1,5,-4]=>[2,2,1]=>0
[3,-2,-1,-5,4]=>[2,2,1]=>0
[3,-2,-1,-5,-4]=>[2,1]=>0
[-3,2,1,5,4]=>[2]=>0
[-3,2,1,5,-4]=>[2,2]=>0
[-3,2,1,-5,4]=>[2,2]=>0
[-3,2,1,-5,-4]=>[2]=>0
[-3,2,-1,5,-4]=>[2]=>0
[-3,2,-1,-5,4]=>[2]=>0
[-3,-2,1,5,4]=>[2,1]=>0
[-3,-2,1,5,-4]=>[2,2,1]=>0
[-3,-2,1,-5,4]=>[2,2,1]=>0
[-3,-2,1,-5,-4]=>[2,1]=>0
[-3,-2,-1,5,-4]=>[2,1]=>0
[-3,-2,-1,-5,4]=>[2,1]=>0
[3,2,4,-1,5]=>[3]=>0
[3,2,4,-1,-5]=>[3,1]=>0
[3,2,-4,1,5]=>[3]=>0
[3,2,-4,1,-5]=>[3,1]=>0
[3,-2,4,1,-5]=>[1,1]=>1
[3,-2,4,-1,5]=>[3,1]=>0
[3,-2,4,-1,-5]=>[3,1,1]=>0
[3,-2,-4,1,5]=>[3,1]=>0
[3,-2,-4,1,-5]=>[3,1,1]=>0
[3,-2,-4,-1,-5]=>[1,1]=>1
[-3,2,4,1,5]=>[3]=>0
[-3,2,4,1,-5]=>[3,1]=>0
[-3,2,-4,-1,5]=>[3]=>0
[-3,2,-4,-1,-5]=>[3,1]=>0
[-3,-2,4,1,5]=>[3,1]=>0
[-3,-2,4,1,-5]=>[3,1,1]=>0
[-3,-2,4,-1,-5]=>[1,1]=>1
[-3,-2,-4,1,-5]=>[1,1]=>1
[-3,-2,-4,-1,5]=>[3,1]=>0
[-3,-2,-4,-1,-5]=>[3,1,1]=>0
[3,2,4,5,-1]=>[4]=>0
[3,2,4,-5,1]=>[4]=>0
[3,2,-4,5,1]=>[4]=>0
[3,2,-4,-5,-1]=>[4]=>0
[3,-2,4,5,-1]=>[4,1]=>0
[3,-2,4,-5,1]=>[4,1]=>0
[3,-2,-4,5,1]=>[4,1]=>0
[3,-2,-4,-5,-1]=>[4,1]=>0
[-3,2,4,5,1]=>[4]=>0
[-3,2,4,-5,-1]=>[4]=>0
[-3,2,-4,5,-1]=>[4]=>0
[-3,2,-4,-5,1]=>[4]=>0
[-3,-2,4,5,1]=>[4,1]=>0
[-3,-2,4,-5,-1]=>[4,1]=>0
[-3,-2,-4,5,-1]=>[4,1]=>0
[-3,-2,-4,-5,1]=>[4,1]=>0
[3,2,5,1,-4]=>[4]=>0
[3,2,5,-1,4]=>[4]=>0
[3,2,-5,1,4]=>[4]=>0
[3,2,-5,-1,-4]=>[4]=>0
[3,-2,5,1,-4]=>[4,1]=>0
[3,-2,5,-1,4]=>[4,1]=>0
[3,-2,-5,1,4]=>[4,1]=>0
[3,-2,-5,-1,-4]=>[4,1]=>0
[-3,2,5,1,4]=>[4]=>0
[-3,2,5,-1,-4]=>[4]=>0
[-3,2,-5,1,-4]=>[4]=>0
[-3,2,-5,-1,4]=>[4]=>0
[-3,-2,5,1,4]=>[4,1]=>0
[-3,-2,5,-1,-4]=>[4,1]=>0
[-3,-2,-5,1,-4]=>[4,1]=>0
[-3,-2,-5,-1,4]=>[4,1]=>0
[3,2,5,4,-1]=>[3]=>0
[3,2,5,-4,-1]=>[3,1]=>0
[3,2,-5,4,1]=>[3]=>0
[3,2,-5,-4,1]=>[3,1]=>0
[3,-2,5,4,-1]=>[3,1]=>0
[3,-2,5,-4,1]=>[1,1]=>1
[3,-2,5,-4,-1]=>[3,1,1]=>0
[3,-2,-5,4,1]=>[3,1]=>0
[3,-2,-5,-4,1]=>[3,1,1]=>0
[3,-2,-5,-4,-1]=>[1,1]=>1
[-3,2,5,4,1]=>[3]=>0
[-3,2,5,-4,1]=>[3,1]=>0
[-3,2,-5,4,-1]=>[3]=>0
[-3,2,-5,-4,-1]=>[3,1]=>0
[-3,-2,5,4,1]=>[3,1]=>0
[-3,-2,5,-4,1]=>[3,1,1]=>0
[-3,-2,5,-4,-1]=>[1,1]=>1
[-3,-2,-5,4,-1]=>[3,1]=>0
[-3,-2,-5,-4,1]=>[1,1]=>1
[-3,-2,-5,-4,-1]=>[3,1,1]=>0
[3,4,1,-2,5]=>[2]=>0
[3,4,1,-2,-5]=>[2,1]=>0
[3,4,-1,2,5]=>[2]=>0
[3,4,-1,2,-5]=>[2,1]=>0
[3,4,-1,-2,5]=>[2,2]=>0
[3,4,-1,-2,-5]=>[2,2,1]=>0
[3,-4,1,2,5]=>[2]=>0
[3,-4,1,2,-5]=>[2,1]=>0
[3,-4,-1,2,5]=>[2,2]=>0
[3,-4,-1,2,-5]=>[2,2,1]=>0
[3,-4,-1,-2,5]=>[2]=>0
[3,-4,-1,-2,-5]=>[2,1]=>0
[-3,4,1,2,5]=>[2]=>0
[-3,4,1,2,-5]=>[2,1]=>0
[-3,4,1,-2,5]=>[2,2]=>0
[-3,4,1,-2,-5]=>[2,2,1]=>0
[-3,4,-1,-2,5]=>[2]=>0
[-3,4,-1,-2,-5]=>[2,1]=>0
[-3,-4,1,2,5]=>[2,2]=>0
[-3,-4,1,2,-5]=>[2,2,1]=>0
[-3,-4,1,-2,5]=>[2]=>0
[-3,-4,1,-2,-5]=>[2,1]=>0
[-3,-4,-1,2,5]=>[2]=>0
[-3,-4,-1,2,-5]=>[2,1]=>0
[3,4,1,5,-2]=>[3]=>0
[3,4,1,-5,2]=>[3]=>0
[3,4,-1,5,2]=>[2]=>0
[3,4,-1,5,-2]=>[3,2]=>0
[3,4,-1,-5,2]=>[3,2]=>0
[3,4,-1,-5,-2]=>[2]=>0
[3,-4,1,5,2]=>[3]=>0
[3,-4,1,-5,-2]=>[3]=>0
[3,-4,-1,5,2]=>[3,2]=>0
[3,-4,-1,5,-2]=>[2]=>0
[3,-4,-1,-5,2]=>[2]=>0
[3,-4,-1,-5,-2]=>[3,2]=>0
[-3,4,1,5,2]=>[2]=>0
[-3,4,1,5,-2]=>[3,2]=>0
[-3,4,1,-5,2]=>[3,2]=>0
[-3,4,1,-5,-2]=>[2]=>0
[-3,4,-1,5,-2]=>[3]=>0
[-3,4,-1,-5,2]=>[3]=>0
[-3,-4,1,5,2]=>[3,2]=>0
[-3,-4,1,5,-2]=>[2]=>0
[-3,-4,1,-5,2]=>[2]=>0
[-3,-4,1,-5,-2]=>[3,2]=>0
[-3,-4,-1,5,2]=>[3]=>0
[-3,-4,-1,-5,-2]=>[3]=>0
[3,4,2,-1,5]=>[4]=>0
[3,4,2,-1,-5]=>[4,1]=>0
[3,4,-2,1,5]=>[4]=>0
[3,4,-2,1,-5]=>[4,1]=>0
[3,-4,2,1,5]=>[4]=>0
[3,-4,2,1,-5]=>[4,1]=>0
[3,-4,-2,-1,5]=>[4]=>0
[3,-4,-2,-1,-5]=>[4,1]=>0
[-3,4,2,1,5]=>[4]=>0
[-3,4,2,1,-5]=>[4,1]=>0
[-3,4,-2,-1,5]=>[4]=>0
[-3,4,-2,-1,-5]=>[4,1]=>0
[-3,-4,2,-1,5]=>[4]=>0
[-3,-4,2,-1,-5]=>[4,1]=>0
[-3,-4,-2,1,5]=>[4]=>0
[-3,-4,-2,1,-5]=>[4,1]=>0
[3,4,2,5,-1]=>[5]=>0
[3,4,2,-5,1]=>[5]=>0
[3,4,-2,5,1]=>[5]=>0
[3,4,-2,-5,-1]=>[5]=>0
[3,-4,2,5,1]=>[5]=>0
[3,-4,2,-5,-1]=>[5]=>0
[3,-4,-2,5,-1]=>[5]=>0
[3,-4,-2,-5,1]=>[5]=>0
[-3,4,2,5,1]=>[5]=>0
[-3,4,2,-5,-1]=>[5]=>0
[-3,4,-2,5,-1]=>[5]=>0
[-3,4,-2,-5,1]=>[5]=>0
[-3,-4,2,5,-1]=>[5]=>0
[-3,-4,2,-5,1]=>[5]=>0
[-3,-4,-2,5,1]=>[5]=>0
[-3,-4,-2,-5,-1]=>[5]=>0
[3,4,5,1,-2]=>[5]=>0
[3,4,5,-1,2]=>[5]=>0
[3,4,-5,1,2]=>[5]=>0
[3,4,-5,-1,-2]=>[5]=>0
[3,-4,5,1,2]=>[5]=>0
[3,-4,5,-1,-2]=>[5]=>0
[3,-4,-5,1,-2]=>[5]=>0
[3,-4,-5,-1,2]=>[5]=>0
[-3,4,5,1,2]=>[5]=>0
[-3,4,5,-1,-2]=>[5]=>0
[-3,4,-5,1,-2]=>[5]=>0
[-3,4,-5,-1,2]=>[5]=>0
[-3,-4,5,1,-2]=>[5]=>0
[-3,-4,5,-1,2]=>[5]=>0
[-3,-4,-5,1,2]=>[5]=>0
[-3,-4,-5,-1,-2]=>[5]=>0
[3,4,5,2,-1]=>[3]=>0
[3,4,5,-2,1]=>[2]=>0
[3,4,5,-2,-1]=>[3,2]=>0
[3,4,-5,2,1]=>[3]=>0
[3,4,-5,-2,1]=>[3,2]=>0
[3,4,-5,-2,-1]=>[2]=>0
[3,-4,5,2,1]=>[2]=>0
[3,-4,5,2,-1]=>[3,2]=>0
[3,-4,5,-2,-1]=>[3]=>0
[3,-4,-5,2,1]=>[3,2]=>0
[3,-4,-5,2,-1]=>[2]=>0
[3,-4,-5,-2,1]=>[3]=>0
[-3,4,5,2,1]=>[3]=>0
[-3,4,5,-2,1]=>[3,2]=>0
[-3,4,5,-2,-1]=>[2]=>0
[-3,4,-5,2,-1]=>[3]=>0
[-3,4,-5,-2,1]=>[2]=>0
[-3,4,-5,-2,-1]=>[3,2]=>0
[-3,-4,5,2,1]=>[3,2]=>0
[-3,-4,5,2,-1]=>[2]=>0
[-3,-4,5,-2,1]=>[3]=>0
[-3,-4,-5,2,1]=>[2]=>0
[-3,-4,-5,2,-1]=>[3,2]=>0
[-3,-4,-5,-2,-1]=>[3]=>0
[3,5,1,2,-4]=>[3]=>0
[3,5,1,-2,4]=>[3]=>0
[3,5,-1,2,4]=>[2]=>0
[3,5,-1,2,-4]=>[3,2]=>0
[3,5,-1,-2,4]=>[3,2]=>0
[3,5,-1,-2,-4]=>[2]=>0
[3,-5,1,2,4]=>[3]=>0
[3,-5,1,-2,-4]=>[3]=>0
[3,-5,-1,2,4]=>[3,2]=>0
[3,-5,-1,2,-4]=>[2]=>0
[3,-5,-1,-2,4]=>[2]=>0
[3,-5,-1,-2,-4]=>[3,2]=>0
[-3,5,1,2,4]=>[2]=>0
[-3,5,1,2,-4]=>[3,2]=>0
[-3,5,1,-2,4]=>[3,2]=>0
[-3,5,1,-2,-4]=>[2]=>0
[-3,5,-1,2,-4]=>[3]=>0
[-3,5,-1,-2,4]=>[3]=>0
[-3,-5,1,2,4]=>[3,2]=>0
[-3,-5,1,2,-4]=>[2]=>0
[-3,-5,1,-2,4]=>[2]=>0
[-3,-5,1,-2,-4]=>[3,2]=>0
[-3,-5,-1,2,4]=>[3]=>0
[-3,-5,-1,-2,-4]=>[3]=>0
[3,5,1,4,-2]=>[2]=>0
[3,5,1,-4,-2]=>[2,1]=>0
[3,5,-1,4,2]=>[2]=>0
[3,5,-1,4,-2]=>[2,2]=>0
[3,5,-1,-4,2]=>[2,1]=>0
[3,5,-1,-4,-2]=>[2,2,1]=>0
[3,-5,1,4,2]=>[2]=>0
[3,-5,1,-4,2]=>[2,1]=>0
[3,-5,-1,4,2]=>[2,2]=>0
[3,-5,-1,4,-2]=>[2]=>0
[3,-5,-1,-4,2]=>[2,2,1]=>0
[3,-5,-1,-4,-2]=>[2,1]=>0
[-3,5,1,4,2]=>[2]=>0
[-3,5,1,4,-2]=>[2,2]=>0
[-3,5,1,-4,2]=>[2,1]=>0
[-3,5,1,-4,-2]=>[2,2,1]=>0
[-3,5,-1,4,-2]=>[2]=>0
[-3,5,-1,-4,-2]=>[2,1]=>0
[-3,-5,1,4,2]=>[2,2]=>0
[-3,-5,1,4,-2]=>[2]=>0
[-3,-5,1,-4,2]=>[2,2,1]=>0
[-3,-5,1,-4,-2]=>[2,1]=>0
[-3,-5,-1,4,2]=>[2]=>0
[-3,-5,-1,-4,2]=>[2,1]=>0
[3,5,2,1,-4]=>[5]=>0
[3,5,2,-1,4]=>[5]=>0
[3,5,-2,1,4]=>[5]=>0
[3,5,-2,-1,-4]=>[5]=>0
[3,-5,2,1,4]=>[5]=>0
[3,-5,2,-1,-4]=>[5]=>0
[3,-5,-2,1,-4]=>[5]=>0
[3,-5,-2,-1,4]=>[5]=>0
[-3,5,2,1,4]=>[5]=>0
[-3,5,2,-1,-4]=>[5]=>0
[-3,5,-2,1,-4]=>[5]=>0
[-3,5,-2,-1,4]=>[5]=>0
[-3,-5,2,1,-4]=>[5]=>0
[-3,-5,2,-1,4]=>[5]=>0
[-3,-5,-2,1,4]=>[5]=>0
[-3,-5,-2,-1,-4]=>[5]=>0
[3,5,2,4,-1]=>[4]=>0
[3,5,2,-4,-1]=>[4,1]=>0
[3,5,-2,4,1]=>[4]=>0
[3,5,-2,-4,1]=>[4,1]=>0
[3,-5,2,4,1]=>[4]=>0
[3,-5,2,-4,1]=>[4,1]=>0
[3,-5,-2,4,-1]=>[4]=>0
[3,-5,-2,-4,-1]=>[4,1]=>0
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[-3,-5,2,4,-1]=>[4]=>0
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[3,5,4,1,-2]=>[2]=>0
[3,5,4,-1,2]=>[3]=>0
[3,5,4,-1,-2]=>[3,2]=>0
[3,5,-4,1,2]=>[3]=>0
[3,5,-4,1,-2]=>[3,2]=>0
[3,5,-4,-1,-2]=>[2]=>0
[3,-5,4,1,2]=>[2]=>0
[3,-5,4,-1,2]=>[3,2]=>0
[3,-5,4,-1,-2]=>[3]=>0
[3,-5,-4,1,2]=>[3,2]=>0
[3,-5,-4,1,-2]=>[3]=>0
[3,-5,-4,-1,2]=>[2]=>0
[-3,5,4,1,2]=>[3]=>0
[-3,5,4,1,-2]=>[3,2]=>0
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[-3,5,-4,1,-2]=>[2]=>0
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[-3,-5,4,1,2]=>[3,2]=>0
[-3,-5,4,1,-2]=>[3]=>0
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[-3,-5,-4,1,2]=>[2]=>0
[-3,-5,-4,-1,2]=>[3,2]=>0
[-3,-5,-4,-1,-2]=>[3]=>0
[3,5,4,2,-1]=>[5]=>0
[3,5,4,-2,1]=>[5]=>0
[3,5,-4,2,1]=>[5]=>0
[3,5,-4,-2,-1]=>[5]=>0
[3,-5,4,2,1]=>[5]=>0
[3,-5,4,-2,-1]=>[5]=>0
[3,-5,-4,2,-1]=>[5]=>0
[3,-5,-4,-2,1]=>[5]=>0
[-3,5,4,2,1]=>[5]=>0
[-3,5,4,-2,-1]=>[5]=>0
[-3,5,-4,2,-1]=>[5]=>0
[-3,5,-4,-2,1]=>[5]=>0
[-3,-5,4,2,-1]=>[5]=>0
[-3,-5,4,-2,1]=>[5]=>0
[-3,-5,-4,2,1]=>[5]=>0
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[4,1,2,-3,5]=>[4]=>0
[4,1,2,-3,-5]=>[4,1]=>0
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[4,1,-2,3,-5]=>[4,1]=>0
[4,-1,2,3,5]=>[4]=>0
[4,-1,2,3,-5]=>[4,1]=>0
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[4,-1,-2,-3,-5]=>[4,1]=>0
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[-4,-1,2,-3,-5]=>[4,1]=>0
[-4,-1,-2,3,5]=>[4]=>0
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[4,1,2,5,-3]=>[5]=>0
[4,1,2,-5,3]=>[5]=>0
[4,1,-2,5,3]=>[5]=>0
[4,1,-2,-5,-3]=>[5]=>0
[4,-1,2,5,3]=>[5]=>0
[4,-1,2,-5,-3]=>[5]=>0
[4,-1,-2,5,-3]=>[5]=>0
[4,-1,-2,-5,3]=>[5]=>0
[-4,1,2,5,3]=>[5]=>0
[-4,1,2,-5,-3]=>[5]=>0
[-4,1,-2,5,-3]=>[5]=>0
[-4,1,-2,-5,3]=>[5]=>0
[-4,-1,2,5,-3]=>[5]=>0
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[-4,-1,-2,5,3]=>[5]=>0
[-4,-1,-2,-5,-3]=>[5]=>0
[4,1,3,-2,5]=>[3]=>0
[4,1,3,-2,-5]=>[3,1]=>0
[4,1,-3,2,-5]=>[1,1]=>1
[4,1,-3,-2,5]=>[3,1]=>0
[4,1,-3,-2,-5]=>[3,1,1]=>0
[4,-1,3,2,5]=>[3]=>0
[4,-1,3,2,-5]=>[3,1]=>0
[4,-1,-3,2,5]=>[3,1]=>0
[4,-1,-3,2,-5]=>[3,1,1]=>0
[4,-1,-3,-2,-5]=>[1,1]=>1
[-4,1,3,2,5]=>[3]=>0
[-4,1,3,2,-5]=>[3,1]=>0
[-4,1,-3,2,5]=>[3,1]=>0
[-4,1,-3,2,-5]=>[3,1,1]=>0
[-4,1,-3,-2,-5]=>[1,1]=>1
[-4,-1,3,-2,5]=>[3]=>0
[-4,-1,3,-2,-5]=>[3,1]=>0
[-4,-1,-3,2,-5]=>[1,1]=>1
[-4,-1,-3,-2,5]=>[3,1]=>0
[-4,-1,-3,-2,-5]=>[3,1,1]=>0
[4,1,3,5,-2]=>[4]=>0
[4,1,3,-5,2]=>[4]=>0
[4,1,-3,5,-2]=>[4,1]=>0
[4,1,-3,-5,2]=>[4,1]=>0
[4,-1,3,5,2]=>[4]=>0
[4,-1,3,-5,-2]=>[4]=>0
[4,-1,-3,5,2]=>[4,1]=>0
[4,-1,-3,-5,-2]=>[4,1]=>0
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[-4,1,3,-5,-2]=>[4]=>0
[-4,1,-3,5,2]=>[4,1]=>0
[-4,1,-3,-5,-2]=>[4,1]=>0
[-4,-1,3,5,-2]=>[4]=>0
[-4,-1,3,-5,2]=>[4]=>0
[-4,-1,-3,5,-2]=>[4,1]=>0
[-4,-1,-3,-5,2]=>[4,1]=>0
[4,1,5,2,-3]=>[2]=>0
[4,1,5,-2,3]=>[3]=>0
[4,1,5,-2,-3]=>[3,2]=>0
[4,1,-5,2,3]=>[2]=>0
[4,1,-5,-2,3]=>[3,2]=>0
[4,1,-5,-2,-3]=>[3]=>0
[4,-1,5,2,3]=>[3]=>0
[4,-1,5,2,-3]=>[3,2]=>0
[4,-1,5,-2,-3]=>[2]=>0
[4,-1,-5,2,3]=>[3,2]=>0
[4,-1,-5,2,-3]=>[3]=>0
[4,-1,-5,-2,3]=>[2]=>0
[-4,1,5,2,3]=>[3]=>0
[-4,1,5,2,-3]=>[3,2]=>0
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[-4,1,-5,2,3]=>[3,2]=>0
[-4,1,-5,2,-3]=>[3]=>0
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[-4,-1,5,2,-3]=>[2]=>0
[-4,-1,5,-2,3]=>[3]=>0
[-4,-1,5,-2,-3]=>[3,2]=>0
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[-4,-1,-5,-2,3]=>[3,2]=>0
[-4,-1,-5,-2,-3]=>[3]=>0
[4,1,5,3,-2]=>[5]=>0
[4,1,5,-3,2]=>[5]=>0
[4,1,-5,3,2]=>[5]=>0
[4,1,-5,-3,-2]=>[5]=>0
[4,-1,5,3,2]=>[5]=>0
[4,-1,5,-3,-2]=>[5]=>0
[4,-1,-5,3,-2]=>[5]=>0
[4,-1,-5,-3,2]=>[5]=>0
[-4,1,5,3,2]=>[5]=>0
[-4,1,5,-3,-2]=>[5]=>0
[-4,1,-5,3,-2]=>[5]=>0
[-4,1,-5,-3,2]=>[5]=>0
[-4,-1,5,3,-2]=>[5]=>0
[-4,-1,5,-3,2]=>[5]=>0
[-4,-1,-5,3,2]=>[5]=>0
[-4,-1,-5,-3,-2]=>[5]=>0
[4,2,1,-3,5]=>[3]=>0
[4,2,1,-3,-5]=>[3,1]=>0
[4,2,-1,3,5]=>[3]=>0
[4,2,-1,3,-5]=>[3,1]=>0
[4,-2,1,3,-5]=>[1,1]=>1
[4,-2,1,-3,5]=>[3,1]=>0
[4,-2,1,-3,-5]=>[3,1,1]=>0
[4,-2,-1,3,5]=>[3,1]=>0
[4,-2,-1,3,-5]=>[3,1,1]=>0
[4,-2,-1,-3,-5]=>[1,1]=>1
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[-4,2,-1,-3,-5]=>[3,1]=>0
[-4,-2,1,3,5]=>[3,1]=>0
[-4,-2,1,3,-5]=>[3,1,1]=>0
[-4,-2,1,-3,-5]=>[1,1]=>1
[-4,-2,-1,3,-5]=>[1,1]=>1
[-4,-2,-1,-3,5]=>[3,1]=>0
[-4,-2,-1,-3,-5]=>[3,1,1]=>0
[4,2,1,5,-3]=>[4]=>0
[4,2,1,-5,3]=>[4]=>0
[4,2,-1,5,3]=>[4]=>0
[4,2,-1,-5,-3]=>[4]=>0
[4,-2,1,5,-3]=>[4,1]=>0
[4,-2,1,-5,3]=>[4,1]=>0
[4,-2,-1,5,3]=>[4,1]=>0
[4,-2,-1,-5,-3]=>[4,1]=>0
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[-4,2,-1,5,-3]=>[4]=>0
[-4,2,-1,-5,3]=>[4]=>0
[-4,-2,1,5,3]=>[4,1]=>0
[-4,-2,1,-5,-3]=>[4,1]=>0
[-4,-2,-1,5,-3]=>[4,1]=>0
[-4,-2,-1,-5,3]=>[4,1]=>0
[4,2,3,-1,5]=>[2]=>0
[4,2,3,-1,-5]=>[2,1]=>0
[4,2,-3,1,-5]=>[1,1]=>1
[4,2,-3,-1,5]=>[2,1]=>0
[4,2,-3,-1,-5]=>[2,1,1]=>0
[4,-2,3,1,-5]=>[1,1]=>1
[4,-2,3,-1,5]=>[2,1]=>0
[4,-2,3,-1,-5]=>[2,1,1]=>0
[4,-2,-3,1,5]=>[1,1]=>1
[4,-2,-3,1,-5]=>[1,1,1]=>1
[4,-2,-3,-1,5]=>[2,1,1]=>0
[4,-2,-3,-1,-5]=>[2,1,1,1]=>0
[-4,2,3,1,5]=>[2]=>0
[-4,2,3,1,-5]=>[2,1]=>0
[-4,2,-3,1,5]=>[2,1]=>0
[-4,2,-3,1,-5]=>[2,1,1]=>0
[-4,2,-3,-1,-5]=>[1,1]=>1
[-4,-2,3,1,5]=>[2,1]=>0
[-4,-2,3,1,-5]=>[2,1,1]=>0
[-4,-2,3,-1,-5]=>[1,1]=>1
[-4,-2,-3,1,5]=>[2,1,1]=>0
[-4,-2,-3,1,-5]=>[2,1,1,1]=>0
[-4,-2,-3,-1,5]=>[1,1]=>1
[-4,-2,-3,-1,-5]=>[1,1,1]=>1
[4,2,3,5,-1]=>[3]=>0
[4,2,3,-5,1]=>[3]=>0
[4,2,-3,5,-1]=>[3,1]=>0
[4,2,-3,-5,1]=>[3,1]=>0
[4,-2,3,5,-1]=>[3,1]=>0
[4,-2,3,-5,1]=>[3,1]=>0
[4,-2,-3,5,1]=>[1,1]=>1
[4,-2,-3,5,-1]=>[3,1,1]=>0
[4,-2,-3,-5,1]=>[3,1,1]=>0
[4,-2,-3,-5,-1]=>[1,1]=>1
[-4,2,3,5,1]=>[3]=>0
[-4,2,3,-5,-1]=>[3]=>0
[-4,2,-3,5,1]=>[3,1]=>0
[-4,2,-3,-5,-1]=>[3,1]=>0
[-4,-2,3,5,1]=>[3,1]=>0
[-4,-2,3,-5,-1]=>[3,1]=>0
[-4,-2,-3,5,1]=>[3,1,1]=>0
[-4,-2,-3,5,-1]=>[1,1]=>1
[-4,-2,-3,-5,1]=>[1,1]=>1
[-4,-2,-3,-5,-1]=>[3,1,1]=>0
[4,2,5,1,-3]=>[2]=>0
[4,2,5,-1,3]=>[2]=>0
[4,2,5,-1,-3]=>[2,2]=>0
[4,2,-5,1,3]=>[2]=>0
[4,2,-5,-1,3]=>[2,2]=>0
[4,2,-5,-1,-3]=>[2]=>0
[4,-2,5,1,-3]=>[2,1]=>0
[4,-2,5,-1,3]=>[2,1]=>0
[4,-2,5,-1,-3]=>[2,2,1]=>0
[4,-2,-5,1,3]=>[2,1]=>0
[4,-2,-5,-1,3]=>[2,2,1]=>0
[4,-2,-5,-1,-3]=>[2,1]=>0
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[-4,2,5,1,-3]=>[2,2]=>0
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[-4,2,-5,1,3]=>[2,2]=>0
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[-4,2,-5,-1,3]=>[2]=>0
[-4,-2,5,1,3]=>[2,1]=>0
[-4,-2,5,1,-3]=>[2,2,1]=>0
[-4,-2,5,-1,-3]=>[2,1]=>0
[-4,-2,-5,1,3]=>[2,2,1]=>0
[-4,-2,-5,1,-3]=>[2,1]=>0
[-4,-2,-5,-1,3]=>[2,1]=>0
[4,2,5,3,-1]=>[4]=>0
[4,2,5,-3,1]=>[4]=>0
[4,2,-5,3,1]=>[4]=>0
[4,2,-5,-3,-1]=>[4]=>0
[4,-2,5,3,-1]=>[4,1]=>0
[4,-2,5,-3,1]=>[4,1]=>0
[4,-2,-5,3,1]=>[4,1]=>0
[4,-2,-5,-3,-1]=>[4,1]=>0
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[-4,2,-5,3,-1]=>[4]=>0
[-4,2,-5,-3,1]=>[4]=>0
[-4,-2,5,3,1]=>[4,1]=>0
[-4,-2,5,-3,-1]=>[4,1]=>0
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[-4,-2,-5,-3,1]=>[4,1]=>0
[4,3,1,-2,5]=>[4]=>0
[4,3,1,-2,-5]=>[4,1]=>0
[4,3,-1,2,5]=>[4]=>0
[4,3,-1,2,-5]=>[4,1]=>0
[4,-3,1,2,5]=>[4]=>0
[4,-3,1,2,-5]=>[4,1]=>0
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[4,-3,-1,-2,-5]=>[4,1]=>0
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[-4,-3,1,-2,-5]=>[4,1]=>0
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[-4,-3,-1,2,-5]=>[4,1]=>0
[4,3,1,5,-2]=>[5]=>0
[4,3,1,-5,2]=>[5]=>0
[4,3,-1,5,2]=>[5]=>0
[4,3,-1,-5,-2]=>[5]=>0
[4,-3,1,5,2]=>[5]=>0
[4,-3,1,-5,-2]=>[5]=>0
[4,-3,-1,5,-2]=>[5]=>0
[4,-3,-1,-5,2]=>[5]=>0
[-4,3,1,5,2]=>[5]=>0
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[4,3,2,-1,5]=>[2]=>0
[4,3,2,-1,-5]=>[2,1]=>0
[4,3,-2,1,5]=>[2]=>0
[4,3,-2,1,-5]=>[2,1]=>0
[4,3,-2,-1,5]=>[2,2]=>0
[4,3,-2,-1,-5]=>[2,2,1]=>0
[4,-3,2,1,5]=>[2]=>0
[4,-3,2,1,-5]=>[2,1]=>0
[4,-3,2,-1,5]=>[2,2]=>0
[4,-3,2,-1,-5]=>[2,2,1]=>0
[4,-3,-2,-1,5]=>[2]=>0
[4,-3,-2,-1,-5]=>[2,1]=>0
[-4,3,2,1,5]=>[2]=>0
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[-4,3,-2,1,5]=>[2,2]=>0
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[-4,-3,2,1,5]=>[2,2]=>0
[-4,-3,2,1,-5]=>[2,2,1]=>0
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[-4,-3,2,-1,-5]=>[2,1]=>0
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[-4,-3,-2,1,-5]=>[2,1]=>0
[4,3,2,5,-1]=>[3]=>0
[4,3,2,-5,1]=>[3]=>0
[4,3,-2,5,1]=>[2]=>0
[4,3,-2,5,-1]=>[3,2]=>0
[4,3,-2,-5,1]=>[3,2]=>0
[4,3,-2,-5,-1]=>[2]=>0
[4,-3,2,5,1]=>[2]=>0
[4,-3,2,5,-1]=>[3,2]=>0
[4,-3,2,-5,1]=>[3,2]=>0
[4,-3,2,-5,-1]=>[2]=>0
[4,-3,-2,5,-1]=>[3]=>0
[4,-3,-2,-5,1]=>[3]=>0
[-4,3,2,5,1]=>[3]=>0
[-4,3,2,-5,-1]=>[3]=>0
[-4,3,-2,5,1]=>[3,2]=>0
[-4,3,-2,5,-1]=>[2]=>0
[-4,3,-2,-5,1]=>[2]=>0
[-4,3,-2,-5,-1]=>[3,2]=>0
[-4,-3,2,5,1]=>[3,2]=>0
[-4,-3,2,5,-1]=>[2]=>0
[-4,-3,2,-5,1]=>[2]=>0
[-4,-3,2,-5,-1]=>[3,2]=>0
[-4,-3,-2,5,1]=>[3]=>0
[-4,-3,-2,-5,-1]=>[3]=>0
[4,3,5,1,-2]=>[3]=>0
[4,3,5,-1,2]=>[2]=>0
[4,3,5,-1,-2]=>[3,2]=>0
[4,3,-5,1,2]=>[3]=>0
[4,3,-5,-1,2]=>[3,2]=>0
[4,3,-5,-1,-2]=>[2]=>0
[4,-3,5,1,2]=>[3]=>0
[4,-3,5,-1,2]=>[3,2]=>0
[4,-3,5,-1,-2]=>[2]=>0
[4,-3,-5,1,-2]=>[3]=>0
[4,-3,-5,-1,2]=>[2]=>0
[4,-3,-5,-1,-2]=>[3,2]=>0
[-4,3,5,1,2]=>[2]=>0
[-4,3,5,1,-2]=>[3,2]=>0
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[-4,3,-5,1,2]=>[3,2]=>0
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[-4,3,-5,-1,2]=>[3]=>0
[-4,-3,5,1,2]=>[3,2]=>0
[-4,-3,5,1,-2]=>[2]=>0
[-4,-3,5,-1,2]=>[3]=>0
[-4,-3,-5,1,2]=>[2]=>0
[-4,-3,-5,1,-2]=>[3,2]=>0
[-4,-3,-5,-1,-2]=>[3]=>0
[4,3,5,2,-1]=>[5]=>0
[4,3,5,-2,1]=>[5]=>0
[4,3,-5,2,1]=>[5]=>0
[4,3,-5,-2,-1]=>[5]=>0
[4,-3,5,2,1]=>[5]=>0
[4,-3,5,-2,-1]=>[5]=>0
[4,-3,-5,2,-1]=>[5]=>0
[4,-3,-5,-2,1]=>[5]=>0
[-4,3,5,2,1]=>[5]=>0
[-4,3,5,-2,-1]=>[5]=>0
[-4,3,-5,2,-1]=>[5]=>0
[-4,3,-5,-2,1]=>[5]=>0
[-4,-3,5,2,-1]=>[5]=>0
[-4,-3,5,-2,1]=>[5]=>0
[-4,-3,-5,2,1]=>[5]=>0
[-4,-3,-5,-2,-1]=>[5]=>0
[4,5,1,2,-3]=>[5]=>0
[4,5,1,-2,3]=>[5]=>0
[4,5,-1,2,3]=>[5]=>0
[4,5,-1,-2,-3]=>[5]=>0
[4,-5,1,2,3]=>[5]=>0
[4,-5,1,-2,-3]=>[5]=>0
[4,-5,-1,2,-3]=>[5]=>0
[4,-5,-1,-2,3]=>[5]=>0
[-4,5,1,2,3]=>[5]=>0
[-4,5,1,-2,-3]=>[5]=>0
[-4,5,-1,2,-3]=>[5]=>0
[-4,5,-1,-2,3]=>[5]=>0
[-4,-5,1,2,-3]=>[5]=>0
[-4,-5,1,-2,3]=>[5]=>0
[-4,-5,-1,2,3]=>[5]=>0
[-4,-5,-1,-2,-3]=>[5]=>0
[4,5,1,3,-2]=>[2]=>0
[4,5,1,-3,2]=>[3]=>0
[4,5,1,-3,-2]=>[3,2]=>0
[4,5,-1,3,2]=>[3]=>0
[4,5,-1,3,-2]=>[3,2]=>0
[4,5,-1,-3,-2]=>[2]=>0
[4,-5,1,3,2]=>[2]=>0
[4,-5,1,-3,2]=>[3,2]=>0
[4,-5,1,-3,-2]=>[3]=>0
[4,-5,-1,3,2]=>[3,2]=>0
[4,-5,-1,3,-2]=>[3]=>0
[4,-5,-1,-3,2]=>[2]=>0
[-4,5,1,3,2]=>[3]=>0
[-4,5,1,3,-2]=>[3,2]=>0
[-4,5,1,-3,-2]=>[2]=>0
[-4,5,-1,3,-2]=>[2]=>0
[-4,5,-1,-3,2]=>[3]=>0
[-4,5,-1,-3,-2]=>[3,2]=>0
[-4,-5,1,3,2]=>[3,2]=>0
[-4,-5,1,3,-2]=>[3]=>0
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[-4,-5,-1,3,2]=>[2]=>0
[-4,-5,-1,-3,2]=>[3,2]=>0
[-4,-5,-1,-3,-2]=>[3]=>0
[4,5,2,1,-3]=>[3]=>0
[4,5,2,-1,3]=>[2]=>0
[4,5,2,-1,-3]=>[3,2]=>0
[4,5,-2,1,3]=>[3]=>0
[4,5,-2,-1,3]=>[3,2]=>0
[4,5,-2,-1,-3]=>[2]=>0
[4,-5,2,1,3]=>[3]=>0
[4,-5,2,-1,3]=>[3,2]=>0
[4,-5,2,-1,-3]=>[2]=>0
[4,-5,-2,1,-3]=>[3]=>0
[4,-5,-2,-1,3]=>[2]=>0
[4,-5,-2,-1,-3]=>[3,2]=>0
[-4,5,2,1,3]=>[2]=>0
[-4,5,2,1,-3]=>[3,2]=>0
[-4,5,2,-1,-3]=>[3]=>0
[-4,5,-2,1,3]=>[3,2]=>0
[-4,5,-2,1,-3]=>[2]=>0
[-4,5,-2,-1,3]=>[3]=>0
[-4,-5,2,1,3]=>[3,2]=>0
[-4,-5,2,1,-3]=>[2]=>0
[-4,-5,2,-1,3]=>[3]=>0
[-4,-5,-2,1,3]=>[2]=>0
[-4,-5,-2,1,-3]=>[3,2]=>0
[-4,-5,-2,-1,-3]=>[3]=>0
[4,5,2,3,-1]=>[5]=>0
[4,5,2,-3,1]=>[5]=>0
[4,5,-2,3,1]=>[5]=>0
[4,5,-2,-3,-1]=>[5]=>0
[4,-5,2,3,1]=>[5]=>0
[4,-5,2,-3,-1]=>[5]=>0
[4,-5,-2,3,-1]=>[5]=>0
[4,-5,-2,-3,1]=>[5]=>0
[-4,5,2,3,1]=>[5]=>0
[-4,5,2,-3,-1]=>[5]=>0
[-4,5,-2,3,-1]=>[5]=>0
[-4,5,-2,-3,1]=>[5]=>0
[-4,-5,2,3,-1]=>[5]=>0
[-4,-5,2,-3,1]=>[5]=>0
[-4,-5,-2,3,1]=>[5]=>0
[-4,-5,-2,-3,-1]=>[5]=>0
[4,5,3,1,-2]=>[2]=>0
[4,5,3,-1,2]=>[2]=>0
[4,5,3,-1,-2]=>[2,2]=>0
[4,5,-3,1,-2]=>[2,1]=>0
[4,5,-3,-1,2]=>[2,1]=>0
[4,5,-3,-1,-2]=>[2,2,1]=>0
[4,-5,3,1,2]=>[2]=>0
[4,-5,3,-1,2]=>[2,2]=>0
[4,-5,3,-1,-2]=>[2]=>0
[4,-5,-3,1,2]=>[2,1]=>0
[4,-5,-3,-1,2]=>[2,2,1]=>0
[4,-5,-3,-1,-2]=>[2,1]=>0
[-4,5,3,1,2]=>[2]=>0
[-4,5,3,1,-2]=>[2,2]=>0
[-4,5,3,-1,-2]=>[2]=>0
[-4,5,-3,1,2]=>[2,1]=>0
[-4,5,-3,1,-2]=>[2,2,1]=>0
[-4,5,-3,-1,-2]=>[2,1]=>0
[-4,-5,3,1,2]=>[2,2]=>0
[-4,-5,3,1,-2]=>[2]=>0
[-4,-5,3,-1,2]=>[2]=>0
[-4,-5,-3,1,2]=>[2,2,1]=>0
[-4,-5,-3,1,-2]=>[2,1]=>0
[-4,-5,-3,-1,2]=>[2,1]=>0
[4,5,3,2,-1]=>[4]=>0
[4,5,3,-2,1]=>[4]=>0
[4,5,-3,2,-1]=>[4,1]=>0
[4,5,-3,-2,1]=>[4,1]=>0
[4,-5,3,2,1]=>[4]=>0
[4,-5,3,-2,-1]=>[4]=>0
[4,-5,-3,2,1]=>[4,1]=>0
[4,-5,-3,-2,-1]=>[4,1]=>0
[-4,5,3,2,1]=>[4]=>0
[-4,5,3,-2,-1]=>[4]=>0
[-4,5,-3,2,1]=>[4,1]=>0
[-4,5,-3,-2,-1]=>[4,1]=>0
[-4,-5,3,2,-1]=>[4]=>0
[-4,-5,3,-2,1]=>[4]=>0
[-4,-5,-3,2,-1]=>[4,1]=>0
[-4,-5,-3,-2,1]=>[4,1]=>0
[5,1,2,3,-4]=>[5]=>0
[5,1,2,-3,4]=>[5]=>0
[5,1,-2,3,4]=>[5]=>0
[5,1,-2,-3,-4]=>[5]=>0
[5,-1,2,3,4]=>[5]=>0
[5,-1,2,-3,-4]=>[5]=>0
[5,-1,-2,3,-4]=>[5]=>0
[5,-1,-2,-3,4]=>[5]=>0
[-5,1,2,3,4]=>[5]=>0
[-5,1,2,-3,-4]=>[5]=>0
[-5,1,-2,3,-4]=>[5]=>0
[-5,1,-2,-3,4]=>[5]=>0
[-5,-1,2,3,-4]=>[5]=>0
[-5,-1,2,-3,4]=>[5]=>0
[-5,-1,-2,3,4]=>[5]=>0
[-5,-1,-2,-3,-4]=>[5]=>0
[5,1,2,4,-3]=>[4]=>0
[5,1,2,-4,-3]=>[4,1]=>0
[5,1,-2,4,3]=>[4]=>0
[5,1,-2,-4,3]=>[4,1]=>0
[5,-1,2,4,3]=>[4]=>0
[5,-1,2,-4,3]=>[4,1]=>0
[5,-1,-2,4,-3]=>[4]=>0
[5,-1,-2,-4,-3]=>[4,1]=>0
[-5,1,2,4,3]=>[4]=>0
[-5,1,2,-4,3]=>[4,1]=>0
[-5,1,-2,4,-3]=>[4]=>0
[-5,1,-2,-4,-3]=>[4,1]=>0
[-5,-1,2,4,-3]=>[4]=>0
[-5,-1,2,-4,-3]=>[4,1]=>0
[-5,-1,-2,4,3]=>[4]=>0
[-5,-1,-2,-4,3]=>[4,1]=>0
[5,1,3,2,-4]=>[4]=>0
[5,1,3,-2,4]=>[4]=>0
[5,1,-3,2,-4]=>[4,1]=>0
[5,1,-3,-2,4]=>[4,1]=>0
[5,-1,3,2,4]=>[4]=>0
[5,-1,3,-2,-4]=>[4]=>0
[5,-1,-3,2,4]=>[4,1]=>0
[5,-1,-3,-2,-4]=>[4,1]=>0
[-5,1,3,2,4]=>[4]=>0
[-5,1,3,-2,-4]=>[4]=>0
[-5,1,-3,2,4]=>[4,1]=>0
[-5,1,-3,-2,-4]=>[4,1]=>0
[-5,-1,3,2,-4]=>[4]=>0
[-5,-1,3,-2,4]=>[4]=>0
[-5,-1,-3,2,-4]=>[4,1]=>0
[-5,-1,-3,-2,4]=>[4,1]=>0
[5,1,3,4,-2]=>[3]=>0
[5,1,3,-4,-2]=>[3,1]=>0
[5,1,-3,4,-2]=>[3,1]=>0
[5,1,-3,-4,2]=>[1,1]=>1
[5,1,-3,-4,-2]=>[3,1,1]=>0
[5,-1,3,4,2]=>[3]=>0
[5,-1,3,-4,2]=>[3,1]=>0
[5,-1,-3,4,2]=>[3,1]=>0
[5,-1,-3,-4,2]=>[3,1,1]=>0
[5,-1,-3,-4,-2]=>[1,1]=>1
[-5,1,3,4,2]=>[3]=>0
[-5,1,3,-4,2]=>[3,1]=>0
[-5,1,-3,4,2]=>[3,1]=>0
[-5,1,-3,-4,2]=>[3,1,1]=>0
[-5,1,-3,-4,-2]=>[1,1]=>1
[-5,-1,3,4,-2]=>[3]=>0
[-5,-1,3,-4,-2]=>[3,1]=>0
[-5,-1,-3,4,-2]=>[3,1]=>0
[-5,-1,-3,-4,2]=>[1,1]=>1
[-5,-1,-3,-4,-2]=>[3,1,1]=>0
[5,1,4,2,-3]=>[5]=>0
[5,1,4,-2,3]=>[5]=>0
[5,1,-4,2,3]=>[5]=>0
[5,1,-4,-2,-3]=>[5]=>0
[5,-1,4,2,3]=>[5]=>0
[5,-1,4,-2,-3]=>[5]=>0
[5,-1,-4,2,-3]=>[5]=>0
[5,-1,-4,-2,3]=>[5]=>0
[-5,1,4,2,3]=>[5]=>0
[-5,1,4,-2,-3]=>[5]=>0
[-5,1,-4,2,-3]=>[5]=>0
[-5,1,-4,-2,3]=>[5]=>0
[-5,-1,4,2,-3]=>[5]=>0
[-5,-1,4,-2,3]=>[5]=>0
[-5,-1,-4,2,3]=>[5]=>0
[-5,-1,-4,-2,-3]=>[5]=>0
[5,1,4,3,-2]=>[3]=>0
[5,1,4,-3,2]=>[2]=>0
[5,1,4,-3,-2]=>[3,2]=>0
[5,1,-4,3,2]=>[2]=>0
[5,1,-4,3,-2]=>[3,2]=>0
[5,1,-4,-3,-2]=>[3]=>0
[5,-1,4,3,2]=>[3]=>0
[5,-1,4,-3,2]=>[3,2]=>0
[5,-1,4,-3,-2]=>[2]=>0
[5,-1,-4,3,2]=>[3,2]=>0
[5,-1,-4,3,-2]=>[2]=>0
[5,-1,-4,-3,2]=>[3]=>0
[-5,1,4,3,2]=>[3]=>0
[-5,1,4,-3,2]=>[3,2]=>0
[-5,1,4,-3,-2]=>[2]=>0
[-5,1,-4,3,2]=>[3,2]=>0
[-5,1,-4,3,-2]=>[2]=>0
[-5,1,-4,-3,2]=>[3]=>0
[-5,-1,4,3,-2]=>[3]=>0
[-5,-1,4,-3,2]=>[2]=>0
[-5,-1,4,-3,-2]=>[3,2]=>0
[-5,-1,-4,3,2]=>[2]=>0
[-5,-1,-4,3,-2]=>[3,2]=>0
[-5,-1,-4,-3,-2]=>[3]=>0
[5,2,1,3,-4]=>[4]=>0
[5,2,1,-3,4]=>[4]=>0
[5,2,-1,3,4]=>[4]=>0
[5,2,-1,-3,-4]=>[4]=>0
[5,-2,1,3,-4]=>[4,1]=>0
[5,-2,1,-3,4]=>[4,1]=>0
[5,-2,-1,3,4]=>[4,1]=>0
[5,-2,-1,-3,-4]=>[4,1]=>0
[-5,2,1,3,4]=>[4]=>0
[-5,2,1,-3,-4]=>[4]=>0
[-5,2,-1,3,-4]=>[4]=>0
[-5,2,-1,-3,4]=>[4]=>0
[-5,-2,1,3,4]=>[4,1]=>0
[-5,-2,1,-3,-4]=>[4,1]=>0
[-5,-2,-1,3,-4]=>[4,1]=>0
[-5,-2,-1,-3,4]=>[4,1]=>0
[5,2,1,4,-3]=>[3]=>0
[5,2,1,-4,-3]=>[3,1]=>0
[5,2,-1,4,3]=>[3]=>0
[5,2,-1,-4,3]=>[3,1]=>0
[5,-2,1,4,-3]=>[3,1]=>0
[5,-2,1,-4,3]=>[1,1]=>1
[5,-2,1,-4,-3]=>[3,1,1]=>0
[5,-2,-1,4,3]=>[3,1]=>0
[5,-2,-1,-4,3]=>[3,1,1]=>0
[5,-2,-1,-4,-3]=>[1,1]=>1
[-5,2,1,4,3]=>[3]=>0
[-5,2,1,-4,3]=>[3,1]=>0
[-5,2,-1,4,-3]=>[3]=>0
[-5,2,-1,-4,-3]=>[3,1]=>0
[-5,-2,1,4,3]=>[3,1]=>0
[-5,-2,1,-4,3]=>[3,1,1]=>0
[-5,-2,1,-4,-3]=>[1,1]=>1
[-5,-2,-1,4,-3]=>[3,1]=>0
[-5,-2,-1,-4,3]=>[1,1]=>1
[-5,-2,-1,-4,-3]=>[3,1,1]=>0
[5,2,3,1,-4]=>[3]=>0
[5,2,3,-1,4]=>[3]=>0
[5,2,-3,1,-4]=>[3,1]=>0
[5,2,-3,-1,4]=>[3,1]=>0
[5,-2,3,1,-4]=>[3,1]=>0
[5,-2,3,-1,4]=>[3,1]=>0
[5,-2,-3,1,4]=>[1,1]=>1
[5,-2,-3,1,-4]=>[3,1,1]=>0
[5,-2,-3,-1,4]=>[3,1,1]=>0
[5,-2,-3,-1,-4]=>[1,1]=>1
[-5,2,3,1,4]=>[3]=>0
[-5,2,3,-1,-4]=>[3]=>0
[-5,2,-3,1,4]=>[3,1]=>0
[-5,2,-3,-1,-4]=>[3,1]=>0
[-5,-2,3,1,4]=>[3,1]=>0
[-5,-2,3,-1,-4]=>[3,1]=>0
[-5,-2,-3,1,4]=>[3,1,1]=>0
[-5,-2,-3,1,-4]=>[1,1]=>1
[-5,-2,-3,-1,4]=>[1,1]=>1
[-5,-2,-3,-1,-4]=>[3,1,1]=>0
[5,2,3,4,-1]=>[2]=>0
[5,2,3,-4,-1]=>[2,1]=>0
[5,2,-3,4,-1]=>[2,1]=>0
[5,2,-3,-4,1]=>[1,1]=>1
[5,2,-3,-4,-1]=>[2,1,1]=>0
[5,-2,3,4,-1]=>[2,1]=>0
[5,-2,3,-4,1]=>[1,1]=>1
[5,-2,3,-4,-1]=>[2,1,1]=>0
[5,-2,-3,4,1]=>[1,1]=>1
[5,-2,-3,4,-1]=>[2,1,1]=>0
[5,-2,-3,-4,1]=>[1,1,1]=>1
[5,-2,-3,-4,-1]=>[2,1,1,1]=>0
[-5,2,3,4,1]=>[2]=>0
[-5,2,3,-4,1]=>[2,1]=>0
[-5,2,-3,4,1]=>[2,1]=>0
[-5,2,-3,-4,1]=>[2,1,1]=>0
[-5,2,-3,-4,-1]=>[1,1]=>1
[-5,-2,3,4,1]=>[2,1]=>0
[-5,-2,3,-4,1]=>[2,1,1]=>0
[-5,-2,3,-4,-1]=>[1,1]=>1
[-5,-2,-3,4,1]=>[2,1,1]=>0
[-5,-2,-3,4,-1]=>[1,1]=>1
[-5,-2,-3,-4,1]=>[2,1,1,1]=>0
[-5,-2,-3,-4,-1]=>[1,1,1]=>1
[5,2,4,1,-3]=>[4]=>0
[5,2,4,-1,3]=>[4]=>0
[5,2,-4,1,3]=>[4]=>0
[5,2,-4,-1,-3]=>[4]=>0
[5,-2,4,1,-3]=>[4,1]=>0
[5,-2,4,-1,3]=>[4,1]=>0
[5,-2,-4,1,3]=>[4,1]=>0
[5,-2,-4,-1,-3]=>[4,1]=>0
[-5,2,4,1,3]=>[4]=>0
[-5,2,4,-1,-3]=>[4]=>0
[-5,2,-4,1,-3]=>[4]=>0
[-5,2,-4,-1,3]=>[4]=>0
[-5,-2,4,1,3]=>[4,1]=>0
[-5,-2,4,-1,-3]=>[4,1]=>0
[-5,-2,-4,1,-3]=>[4,1]=>0
[-5,-2,-4,-1,3]=>[4,1]=>0
[5,2,4,3,-1]=>[2]=>0
[5,2,4,-3,1]=>[2]=>0
[5,2,4,-3,-1]=>[2,2]=>0
[5,2,-4,3,1]=>[2]=>0
[5,2,-4,3,-1]=>[2,2]=>0
[5,2,-4,-3,-1]=>[2]=>0
[5,-2,4,3,-1]=>[2,1]=>0
[5,-2,4,-3,1]=>[2,1]=>0
[5,-2,4,-3,-1]=>[2,2,1]=>0
[5,-2,-4,3,1]=>[2,1]=>0
[5,-2,-4,3,-1]=>[2,2,1]=>0
[5,-2,-4,-3,-1]=>[2,1]=>0
[-5,2,4,3,1]=>[2]=>0
[-5,2,4,-3,1]=>[2,2]=>0
[-5,2,4,-3,-1]=>[2]=>0
[-5,2,-4,3,1]=>[2,2]=>0
[-5,2,-4,3,-1]=>[2]=>0
[-5,2,-4,-3,1]=>[2]=>0
[-5,-2,4,3,1]=>[2,1]=>0
[-5,-2,4,-3,1]=>[2,2,1]=>0
[-5,-2,4,-3,-1]=>[2,1]=>0
[-5,-2,-4,3,1]=>[2,2,1]=>0
[-5,-2,-4,3,-1]=>[2,1]=>0
[-5,-2,-4,-3,1]=>[2,1]=>0
[5,3,1,2,-4]=>[5]=>0
[5,3,1,-2,4]=>[5]=>0
[5,3,-1,2,4]=>[5]=>0
[5,3,-1,-2,-4]=>[5]=>0
[5,-3,1,2,4]=>[5]=>0
[5,-3,1,-2,-4]=>[5]=>0
[5,-3,-1,2,-4]=>[5]=>0
[5,-3,-1,-2,4]=>[5]=>0
[-5,3,1,2,4]=>[5]=>0
[-5,3,1,-2,-4]=>[5]=>0
[-5,3,-1,2,-4]=>[5]=>0
[-5,3,-1,-2,4]=>[5]=>0
[-5,-3,1,2,-4]=>[5]=>0
[-5,-3,1,-2,4]=>[5]=>0
[-5,-3,-1,2,4]=>[5]=>0
[-5,-3,-1,-2,-4]=>[5]=>0
[5,3,1,4,-2]=>[4]=>0
[5,3,1,-4,-2]=>[4,1]=>0
[5,3,-1,4,2]=>[4]=>0
[5,3,-1,-4,2]=>[4,1]=>0
[5,-3,1,4,2]=>[4]=>0
[5,-3,1,-4,2]=>[4,1]=>0
[5,-3,-1,4,-2]=>[4]=>0
[5,-3,-1,-4,-2]=>[4,1]=>0
[-5,3,1,4,2]=>[4]=>0
[-5,3,1,-4,2]=>[4,1]=>0
[-5,3,-1,4,-2]=>[4]=>0
[-5,3,-1,-4,-2]=>[4,1]=>0
[-5,-3,1,4,-2]=>[4]=>0
[-5,-3,1,-4,-2]=>[4,1]=>0
[-5,-3,-1,4,2]=>[4]=>0
[-5,-3,-1,-4,2]=>[4,1]=>0
[5,3,2,1,-4]=>[3]=>0
[5,3,2,-1,4]=>[3]=>0
[5,3,-2,1,4]=>[2]=>0
[5,3,-2,1,-4]=>[3,2]=>0
[5,3,-2,-1,4]=>[3,2]=>0
[5,3,-2,-1,-4]=>[2]=>0
[5,-3,2,1,4]=>[2]=>0
[5,-3,2,1,-4]=>[3,2]=>0
[5,-3,2,-1,4]=>[3,2]=>0
[5,-3,2,-1,-4]=>[2]=>0
[5,-3,-2,1,-4]=>[3]=>0
[5,-3,-2,-1,4]=>[3]=>0
[-5,3,2,1,4]=>[3]=>0
[-5,3,2,-1,-4]=>[3]=>0
[-5,3,-2,1,4]=>[3,2]=>0
[-5,3,-2,1,-4]=>[2]=>0
[-5,3,-2,-1,4]=>[2]=>0
[-5,3,-2,-1,-4]=>[3,2]=>0
[-5,-3,2,1,4]=>[3,2]=>0
[-5,-3,2,1,-4]=>[2]=>0
[-5,-3,2,-1,4]=>[2]=>0
[-5,-3,2,-1,-4]=>[3,2]=>0
[-5,-3,-2,1,4]=>[3]=>0
[-5,-3,-2,-1,-4]=>[3]=>0
[5,3,2,4,-1]=>[2]=>0
[5,3,2,-4,-1]=>[2,1]=>0
[5,3,-2,4,1]=>[2]=>0
[5,3,-2,4,-1]=>[2,2]=>0
[5,3,-2,-4,1]=>[2,1]=>0
[5,3,-2,-4,-1]=>[2,2,1]=>0
[5,-3,2,4,1]=>[2]=>0
[5,-3,2,4,-1]=>[2,2]=>0
[5,-3,2,-4,1]=>[2,1]=>0
[5,-3,2,-4,-1]=>[2,2,1]=>0
[5,-3,-2,4,-1]=>[2]=>0
[5,-3,-2,-4,-1]=>[2,1]=>0
[-5,3,2,4,1]=>[2]=>0
[-5,3,2,-4,1]=>[2,1]=>0
[-5,3,-2,4,1]=>[2,2]=>0
[-5,3,-2,4,-1]=>[2]=>0
[-5,3,-2,-4,1]=>[2,2,1]=>0
[-5,3,-2,-4,-1]=>[2,1]=>0
[-5,-3,2,4,1]=>[2,2]=>0
[-5,-3,2,4,-1]=>[2]=>0
[-5,-3,2,-4,1]=>[2,2,1]=>0
[-5,-3,2,-4,-1]=>[2,1]=>0
[-5,-3,-2,4,1]=>[2]=>0
[-5,-3,-2,-4,1]=>[2,1]=>0
[5,3,4,1,-2]=>[5]=>0
[5,3,4,-1,2]=>[5]=>0
[5,3,-4,1,2]=>[5]=>0
[5,3,-4,-1,-2]=>[5]=>0
[5,-3,4,1,2]=>[5]=>0
[5,-3,4,-1,-2]=>[5]=>0
[5,-3,-4,1,-2]=>[5]=>0
[5,-3,-4,-1,2]=>[5]=>0
[-5,3,4,1,2]=>[5]=>0
[-5,3,4,-1,-2]=>[5]=>0
[-5,3,-4,1,-2]=>[5]=>0
[-5,3,-4,-1,2]=>[5]=>0
[-5,-3,4,1,-2]=>[5]=>0
[-5,-3,4,-1,2]=>[5]=>0
[-5,-3,-4,1,2]=>[5]=>0
[-5,-3,-4,-1,-2]=>[5]=>0
[5,3,4,2,-1]=>[2]=>0
[5,3,4,-2,1]=>[3]=>0
[5,3,4,-2,-1]=>[3,2]=>0
[5,3,-4,2,1]=>[3]=>0
[5,3,-4,2,-1]=>[3,2]=>0
[5,3,-4,-2,-1]=>[2]=>0
[5,-3,4,2,1]=>[3]=>0
[5,-3,4,2,-1]=>[3,2]=>0
[5,-3,4,-2,-1]=>[2]=>0
[5,-3,-4,2,-1]=>[2]=>0
[5,-3,-4,-2,1]=>[3]=>0
[5,-3,-4,-2,-1]=>[3,2]=>0
[-5,3,4,2,1]=>[2]=>0
[-5,3,4,-2,1]=>[3,2]=>0
[-5,3,4,-2,-1]=>[3]=>0
[-5,3,-4,2,1]=>[3,2]=>0
[-5,3,-4,2,-1]=>[3]=>0
[-5,3,-4,-2,1]=>[2]=>0
[-5,-3,4,2,1]=>[3,2]=>0
[-5,-3,4,2,-1]=>[3]=>0
[-5,-3,4,-2,1]=>[2]=>0
[-5,-3,-4,2,1]=>[2]=>0
[-5,-3,-4,-2,1]=>[3,2]=>0
[-5,-3,-4,-2,-1]=>[3]=>0
[5,4,1,2,-3]=>[3]=>0
[5,4,1,-2,3]=>[2]=>0
[5,4,1,-2,-3]=>[3,2]=>0
[5,4,-1,2,3]=>[3]=>0
[5,4,-1,-2,3]=>[3,2]=>0
[5,4,-1,-2,-3]=>[2]=>0
[5,-4,1,2,3]=>[2]=>0
[5,-4,1,2,-3]=>[3,2]=>0
[5,-4,1,-2,-3]=>[3]=>0
[5,-4,-1,2,3]=>[3,2]=>0
[5,-4,-1,2,-3]=>[2]=>0
[5,-4,-1,-2,3]=>[3]=>0
[-5,4,1,2,3]=>[3]=>0
[-5,4,1,-2,3]=>[3,2]=>0
[-5,4,1,-2,-3]=>[2]=>0
[-5,4,-1,2,-3]=>[3]=>0
[-5,4,-1,-2,3]=>[2]=>0
[-5,4,-1,-2,-3]=>[3,2]=>0
[-5,-4,1,2,3]=>[3,2]=>0
[-5,-4,1,2,-3]=>[2]=>0
[-5,-4,1,-2,3]=>[3]=>0
[-5,-4,-1,2,3]=>[2]=>0
[-5,-4,-1,2,-3]=>[3,2]=>0
[-5,-4,-1,-2,-3]=>[3]=>0
[5,4,1,3,-2]=>[5]=>0
[5,4,1,-3,2]=>[5]=>0
[5,4,-1,3,2]=>[5]=>0
[5,4,-1,-3,-2]=>[5]=>0
[5,-4,1,3,2]=>[5]=>0
[5,-4,1,-3,-2]=>[5]=>0
[5,-4,-1,3,-2]=>[5]=>0
[5,-4,-1,-3,2]=>[5]=>0
[-5,4,1,3,2]=>[5]=>0
[-5,4,1,-3,-2]=>[5]=>0
[-5,4,-1,3,-2]=>[5]=>0
[-5,4,-1,-3,2]=>[5]=>0
[-5,-4,1,3,-2]=>[5]=>0
[-5,-4,1,-3,2]=>[5]=>0
[-5,-4,-1,3,2]=>[5]=>0
[-5,-4,-1,-3,-2]=>[5]=>0
[5,4,2,1,-3]=>[5]=>0
[5,4,2,-1,3]=>[5]=>0
[5,4,-2,1,3]=>[5]=>0
[5,4,-2,-1,-3]=>[5]=>0
[5,-4,2,1,3]=>[5]=>0
[5,-4,2,-1,-3]=>[5]=>0
[5,-4,-2,1,-3]=>[5]=>0
[5,-4,-2,-1,3]=>[5]=>0
[-5,4,2,1,3]=>[5]=>0
[-5,4,2,-1,-3]=>[5]=>0
[-5,4,-2,1,-3]=>[5]=>0
[-5,4,-2,-1,3]=>[5]=>0
[-5,-4,2,1,-3]=>[5]=>0
[-5,-4,2,-1,3]=>[5]=>0
[-5,-4,-2,1,3]=>[5]=>0
[-5,-4,-2,-1,-3]=>[5]=>0
[5,4,2,3,-1]=>[2]=>0
[5,4,2,-3,1]=>[3]=>0
[5,4,2,-3,-1]=>[3,2]=>0
[5,4,-2,3,1]=>[3]=>0
[5,4,-2,3,-1]=>[3,2]=>0
[5,4,-2,-3,-1]=>[2]=>0
[5,-4,2,3,1]=>[3]=>0
[5,-4,2,3,-1]=>[3,2]=>0
[5,-4,2,-3,-1]=>[2]=>0
[5,-4,-2,3,-1]=>[2]=>0
[5,-4,-2,-3,1]=>[3]=>0
[5,-4,-2,-3,-1]=>[3,2]=>0
[-5,4,2,3,1]=>[2]=>0
[-5,4,2,-3,1]=>[3,2]=>0
[-5,4,2,-3,-1]=>[3]=>0
[-5,4,-2,3,1]=>[3,2]=>0
[-5,4,-2,3,-1]=>[3]=>0
[-5,4,-2,-3,1]=>[2]=>0
[-5,-4,2,3,1]=>[3,2]=>0
[-5,-4,2,3,-1]=>[3]=>0
[-5,-4,2,-3,1]=>[2]=>0
[-5,-4,-2,3,1]=>[2]=>0
[-5,-4,-2,-3,1]=>[3,2]=>0
[-5,-4,-2,-3,-1]=>[3]=>0
[5,4,3,1,-2]=>[4]=>0
[5,4,3,-1,2]=>[4]=>0
[5,4,-3,1,-2]=>[4,1]=>0
[5,4,-3,-1,2]=>[4,1]=>0
[5,-4,3,1,2]=>[4]=>0
[5,-4,3,-1,-2]=>[4]=>0
[5,-4,-3,1,2]=>[4,1]=>0
[5,-4,-3,-1,-2]=>[4,1]=>0
[-5,4,3,1,2]=>[4]=>0
[-5,4,3,-1,-2]=>[4]=>0
[-5,4,-3,1,2]=>[4,1]=>0
[-5,4,-3,-1,-2]=>[4,1]=>0
[-5,-4,3,1,-2]=>[4]=>0
[-5,-4,3,-1,2]=>[4]=>0
[-5,-4,-3,1,-2]=>[4,1]=>0
[-5,-4,-3,-1,2]=>[4,1]=>0
[5,4,3,2,-1]=>[2]=>0
[5,4,3,-2,1]=>[2]=>0
[5,4,3,-2,-1]=>[2,2]=>0
[5,4,-3,2,-1]=>[2,1]=>0
[5,4,-3,-2,1]=>[2,1]=>0
[5,4,-3,-2,-1]=>[2,2,1]=>0
[5,-4,3,2,1]=>[2]=>0
[5,-4,3,2,-1]=>[2,2]=>0
[5,-4,3,-2,-1]=>[2]=>0
[5,-4,-3,2,1]=>[2,1]=>0
[5,-4,-3,2,-1]=>[2,2,1]=>0
[5,-4,-3,-2,-1]=>[2,1]=>0
[-5,4,3,2,1]=>[2]=>0
[-5,4,3,-2,1]=>[2,2]=>0
[-5,4,3,-2,-1]=>[2]=>0
[-5,4,-3,2,1]=>[2,1]=>0
[-5,4,-3,-2,1]=>[2,2,1]=>0
[-5,4,-3,-2,-1]=>[2,1]=>0
[-5,-4,3,2,1]=>[2,2]=>0
[-5,-4,3,2,-1]=>[2]=>0
[-5,-4,3,-2,1]=>[2]=>0
[-5,-4,-3,2,1]=>[2,2,1]=>0
[-5,-4,-3,2,-1]=>[2,1]=>0
[-5,-4,-3,-2,1]=>[2,1]=>0
[-6,-4,-2,1,3,5]=>[6]=>0
[3,2,6,-5,1,4]=>[5]=>0
[-5,-3,2,4,-6,1]=>[2]=>0
[4,5,2,3,-6,1]=>[6]=>0
[2,-6,-4,-5,1,3]=>[6]=>0
[-6,-5,1,-4,2,3]=>[3,2,1]=>0
[-5,3,6,1,2,4]=>[6]=>0
[2,6,-5,1,3,4]=>[2]=>0
[-5,4,-6,-2,1,3]=>[2,2,2]=>0
[4,-5,-6,-3,1,2]=>[6]=>0
[4,6,-5,3,1,2]=>[4]=>0
[-4,3,-5,2,-6,1]=>[6]=>0
[-8,-6,-4,-2,1,3,5,7]=>[4,4]=>0
[3,2,8,-6,-5,1,4,7]=>[6,1]=>0
[-5,-3,2,4,-8,-6,1,7]=>[2,1]=>0
[5,-3,2,4,8,-7,1,6]=>[5,2]=>0
[-7,-5,-3,2,4,6,-8,1]=>[3,1]=>0
[4,5,2,3,-8,-6,1,7]=>[7,1]=>0
[2,-8,-4,-6,-5,1,3,7]=>[7,1]=>0
[-8,-6,1,-5,-4,2,3,7]=>[4,2]=>0
[2,8,-6,-5,1,3,4,7]=>[6,2]=>0
[-5,4,-8,-6,-2,1,3,7]=>[5,3]=>0
[4,-5,-8,-6,-3,1,2,7]=>[5,3]=>0
[3,-8,-5,-6,-4,1,2,7]=>[5,3]=>0
[-6,4,3,8,-5,1,2,7]=>[2,1]=>0
[-4,3,-5,2,-8,-6,1,7]=>[7,1]=>0
[-5,4,-7,3,8,1,2,6]=>[4,4]=>0
[5,8,-4,3,-7,1,2,6]=>[6,2]=>0
[-7,-5,4,6,-8,-2,1,3]=>[6,2]=>0
[-7,3,-5,6,-8,-4,1,2]=>[2,2]=>0
[-4,3,5,8,7,-6,1,2]=>[7,1]=>0
[4,-8,6,-7,3,5,1,2]=>[3,2]=>0
[3,-8,5,7,4,-6,1,2]=>[2,1]=>0
[-7,-6,3,-8,4,-5,1,2]=>[5,2]=>0
[-7,-6,5,3,-8,-4,1,2]=>[6,2]=>0
[-7,4,-6,5,-8,-3,1,2]=>[4,2]=>0
[6,7,4,5,-8,-2,1,3]=>[4,4]=>0
[3,-7,-5,-6,2,4,-8,1]=>[6,2]=>0
[-4,-8,-7,1,-6,2,3,5]=>[2,2]=>0
[-5,2,8,-7,1,3,4,6]=>[2,2]=>0
[-4,-8,-7,2,-5,1,3,6]=>[2,1]=>0
[4,2,-7,8,-6,1,3,5]=>[5,2]=>0
[-8,-4,-6,2,3,-7,1,5]=>[6,2]=>0
[6,8,-3,2,4,-7,1,5]=>[3,1]=>0
[3,-7,2,8,-5,1,4,6]=>[7,1]=>0
[-7,6,-8,-4,-2,1,3,5]=>[7,1]=>0
[6,-7,-8,-4,-3,1,2,5]=>[2,1]=>0
[-7,-3,2,6,-8,-4,1,5]=>[2,2,2,2]=>0
[-7,-8,-3,2,5,-6,1,4]=>[3,2,1,1]=>0
[5,-6,-7,-4,2,3,-8,1]=>[7,1]=>0
[-8,-6,5,-4,2,-7,1,3]=>[7,1]=>0
[-8,4,7,2,5,-6,1,3]=>[4,1]=>0
[-7,2,-4,6,-8,-5,1,3]=>[5,2]=>0
[-7,6,1,-8,-5,-4,2,3]=>[7,1]=>0
[6,-7,-3,-8,-5,1,2,4]=>[2,2,1,1]=>0
[7,2,6,-8,-5,1,3,4]=>[2,1]=>0
[-8,6,7,5,-4,1,2,3]=>[6,2]=>0
[-8,2,5,7,4,-6,1,3]=>[6,1]=>0
[5,7,-6,4,2,3,-8,1]=>[5,2]=>0
[4,-8,-5,-7,1,-6,2,3]=>[7,1]=>0
[-8,-7,5,6,4,1,2,3]=>[6,2]=>0
[8,6,-7,-4,5,1,2,3]=>[6,1]=>0
[7,-8,6,3,5,-4,1,2]=>[3,2]=>0
[5,7,-8,4,3,-6,1,2]=>[6,1]=>0
[5,8,-6,4,-7,3,1,2]=>[3,2]=>0
[-5,4,-6,3,-7,2,-8,1]=>[4,4]=>0
[1,2,3,4,6,-5]=>[2]=>0
[1,2,3,6,5,-4]=>[2]=>0
[1,2,3,6,4,-5]=>[3]=>0
[1,2,3,5,6,-4]=>[3]=>0
[1,2,6,4,5,-3]=>[2]=>0
[1,2,5,4,6,-3]=>[3]=>0
[1,2,6,3,5,-4]=>[3]=>0
[1,2,6,3,4,-5]=>[4]=>0
[1,2,5,3,6,-4]=>[4]=>0
[1,2,4,6,5,-3]=>[3]=>0
[1,2,5,6,4,-3]=>[4]=>0
[1,2,5,6,3,-4]=>[2]=>0
[1,2,4,5,6,-3]=>[4]=>0
[1,6,3,4,5,-2]=>[2]=>0
[1,5,3,4,6,-2]=>[3]=>0
[1,4,3,6,5,-2]=>[3]=>0
[1,5,3,6,4,-2]=>[4]=>0
[1,4,3,5,6,-2]=>[4]=>0
[1,6,2,4,5,-3]=>[3]=>0
[1,5,2,4,6,-3]=>[4]=>0
[1,6,2,3,5,-4]=>[4]=>0
[1,6,2,3,4,-5]=>[5]=>0
[1,5,2,3,6,-4]=>[5]=>0
[1,4,2,6,5,-3]=>[4]=>0
[1,5,2,6,4,-3]=>[5]=>0
[1,5,2,6,3,-4]=>[2]=>0
[1,4,2,5,6,-3]=>[5]=>0
[1,3,6,4,5,-2]=>[3]=>0
[1,3,5,4,6,-2]=>[4]=>0
[1,4,6,3,5,-2]=>[4]=>0
[1,5,6,3,4,-2]=>[5]=>0
[1,4,5,3,6,-2]=>[5]=>0
[1,4,6,2,5,-3]=>[2]=>0
[1,5,6,2,4,-3]=>[2]=>0
[1,5,6,2,3,-4]=>[5]=>0
[1,4,5,2,6,-3]=>[3]=>0
[1,3,4,6,5,-2]=>[4]=>0
[1,3,5,6,4,-2]=>[5]=>0
[1,4,5,6,3,-2]=>[3]=>0
[1,4,5,6,2,-3]=>[5]=>0
[1,3,4,5,6,-2]=>[5]=>0
[6,2,3,4,5,-1]=>[2]=>0
[5,2,3,4,6,-1]=>[3]=>0
[4,2,3,6,5,-1]=>[3]=>0
[5,2,3,6,4,-1]=>[4]=>0
[4,2,3,5,6,-1]=>[4]=>0
[3,2,6,4,5,-1]=>[3]=>0
[3,2,5,4,6,-1]=>[4]=>0
[4,2,6,3,5,-1]=>[4]=>0
[5,2,6,3,4,-1]=>[5]=>0
[4,2,5,3,6,-1]=>[5]=>0
[3,2,4,6,5,-1]=>[4]=>0
[3,2,5,6,4,-1]=>[5]=>0
[4,2,5,6,3,-1]=>[3]=>0
[3,2,4,5,6,-1]=>[5]=>0
[6,1,3,4,5,-2]=>[3]=>0
[5,1,3,4,6,-2]=>[4]=>0
[4,1,3,6,5,-2]=>[4]=>0
[5,1,3,6,4,-2]=>[5]=>0
[4,1,3,5,6,-2]=>[5]=>0
[6,1,2,4,5,-3]=>[4]=>0
[5,1,2,4,6,-3]=>[5]=>0
[6,1,2,3,5,-4]=>[5]=>0
[6,1,2,3,4,-5]=>[6]=>0
[5,1,2,3,6,-4]=>[6]=>0
[4,1,2,6,5,-3]=>[5]=>0
[5,1,2,6,4,-3]=>[6]=>0
[5,1,2,6,3,-4]=>[2]=>0
[4,1,2,5,6,-3]=>[6]=>0
[3,1,6,4,5,-2]=>[4]=>0
[3,1,5,4,6,-2]=>[5]=>0
[4,1,6,3,5,-2]=>[5]=>0
[5,1,6,3,4,-2]=>[6]=>0
[4,1,5,3,6,-2]=>[6]=>0
[4,1,6,2,5,-3]=>[2]=>0
[5,1,6,2,4,-3]=>[2]=>0
[5,1,6,2,3,-4]=>[6]=>0
[4,1,5,2,6,-3]=>[3]=>0
[3,1,4,6,5,-2]=>[5]=>0
[3,1,5,6,4,-2]=>[6]=>0
[4,1,5,6,3,-2]=>[4]=>0
[4,1,5,6,2,-3]=>[6]=>0
[3,1,4,5,6,-2]=>[6]=>0
[2,6,3,4,5,-1]=>[3]=>0
[2,5,3,4,6,-1]=>[4]=>0
[2,4,3,6,5,-1]=>[4]=>0
[2,5,3,6,4,-1]=>[5]=>0
[2,4,3,5,6,-1]=>[5]=>0
[3,6,2,4,5,-1]=>[4]=>0
[3,5,2,4,6,-1]=>[5]=>0
[4,6,2,3,5,-1]=>[5]=>0
[5,6,2,3,4,-1]=>[6]=>0
[4,5,2,3,6,-1]=>[6]=>0
[3,4,2,6,5,-1]=>[5]=>0
[3,5,2,6,4,-1]=>[6]=>0
[4,5,2,6,3,-1]=>[3]=>0
[3,4,2,5,6,-1]=>[6]=>0
[3,6,1,4,5,-2]=>[2]=>0
[3,5,1,4,6,-2]=>[3]=>0
[4,6,1,3,5,-2]=>[2]=>0
[5,6,1,3,4,-2]=>[2]=>0
[4,5,1,3,6,-2]=>[3]=>0
[4,6,1,2,5,-3]=>[5]=>0
[5,6,1,2,4,-3]=>[6]=>0
[5,6,1,2,3,-4]=>[3]=>0
[4,5,1,2,6,-3]=>[6]=>0
[3,4,1,6,5,-2]=>[3]=>0
[3,5,1,6,4,-2]=>[4]=>0
[4,5,1,6,3,-2]=>[6]=>0
[4,5,1,6,2,-3]=>[4]=>0
[3,4,1,5,6,-2]=>[4]=>0
[2,3,6,4,5,-1]=>[4]=>0
[2,3,5,4,6,-1]=>[5]=>0
[2,4,6,3,5,-1]=>[5]=>0
[2,5,6,3,4,-1]=>[6]=>0
[2,4,5,3,6,-1]=>[6]=>0
[3,4,6,2,5,-1]=>[3]=>0
[3,5,6,2,4,-1]=>[3]=>0
[4,5,6,2,3,-1]=>[6]=>0
[3,4,5,2,6,-1]=>[4]=>0
[3,4,6,1,5,-2]=>[5]=>0
[3,5,6,1,4,-2]=>[6]=>0
[4,5,6,1,3,-2]=>[4]=>0
[4,5,6,1,2,-3]=>[2]=>0
[3,4,5,1,6,-2]=>[6]=>0
[2,3,4,6,5,-1]=>[5]=>0
[2,3,5,6,4,-1]=>[6]=>0
[2,4,5,6,3,-1]=>[4]=>0
[3,4,5,6,2,-1]=>[6]=>0
[3,4,5,6,1,-2]=>[3]=>0
[2,3,4,5,6,-1]=>[6]=>0
[2,6,-4,1,3,5]=>[6]=>0
[-4,2,-6,1,3,5]=>[3,2]=>0
[-4,-2,1,3,5,6]=>[3,1]=>0
[2,-4,1,3,5,6]=>[4]=>0
[-5,-4,-2,1,3,6]=>[5]=>0
[2,5,-4,1,3,6]=>[5]=>0
[2,6,-5,-4,1,3]=>[5,1]=>0
[2,-6,-5,1,3,4]=>[4,2]=>0
[-2,-6,-5,1,3,4]=>[2]=>0
[-6,2,-5,1,3,4]=>[3,2]=>0
[6,2,-5,1,3,4]=>[2]=>0
[2,-5,1,3,4,6]=>[5]=>0
[-5,-2,1,3,4,6]=>[4,1]=>0
[-5,-3,-2,1,4,6]=>[3]=>0
[-6,-5,-2,1,3,4]=>[3]=>0
[-6,-5,-3,-2,1,4]=>[5,1]=>0
[3,-6,-5,-2,1,4]=>[3]=>0
[3,6,-5,-2,1,4]=>[3,3]=>0
[-6,2,1,3,4,5]=>[5]=>0
[2,-6,1,3,4,5]=>[6]=>0
[2,3,-6,1,4,5]=>[6]=>0
[-6,-2,1,3,4,5]=>[5,1]=>0
[-6,-3,-2,1,4,5]=>[4]=>0
[-6,-4,-3,-2,1,5]=>[3,1]=>0
[-2,1,3,4,5,6]=>[2]=>0
[-3,-2,1,4,5,6]=>[2,1]=>0
[-4,-3,-2,1,5,6]=>[2]=>0
[-5,-4,-3,-2,1,6]=>[2,1]=>0
[-6,-5,-4,-3,-2,1]=>[2]=>0
[6,-4,-3,1,2,5]=>[5,1]=>0
[-4,-6,-3,1,2,5]=>[3,2,1]=>0
[-6,3,4,1,2,5]=>[6]=>0
[4,-3,1,2,5,6]=>[4]=>0
[5,-4,-3,1,2,6]=>[4,1]=>0
[6,-5,-4,-3,1,2]=>[4]=>0
[4,5,6,-3,1,2]=>[6]=>0
[-6,-5,3,1,2,4]=>[3,2]=>0
[-5,3,1,2,4,6]=>[5]=>0
[5,-3,1,2,4,6]=>[5]=>0
[3,-5,1,2,4,6]=>[3]=>0
[6,-5,-3,1,2,4]=>[2,1]=>0
[-6,-5,-3,1,2,4]=>[3,2,1]=>0
[3,6,-5,1,2,4]=>[6]=>0
[-6,3,1,2,4,5]=>[6]=>0
[3,-6,1,2,4,5]=>[4]=>0
[-3,-6,1,2,4,5]=>[4,2]=>0
[6,-3,1,2,4,5]=>[6]=>0
[4,-6,-3,1,2,5]=>[3,1]=>0
[-3,1,2,4,5,6]=>[3]=>0
[-4,5,6,1,2,3]=>[2]=>0
[-4,5,1,2,3,6]=>[5]=>0
[5,-4,1,2,3,6]=>[2]=>0
[6,-5,-4,1,2,3]=>[4,2]=>0
[5,6,-4,1,2,3]=>[6]=>0
[4,1,-6,2,3,5]=>[3]=>0
[-4,6,1,2,3,5]=>[6]=>0
[-6,4,1,2,3,5]=>[4]=>0
[6,-4,1,2,3,5]=>[2]=>0
[-6,-4,1,2,3,5]=>[4,2]=>0
[4,-6,1,2,3,5]=>[6]=>0
[1,-4,2,3,5,6]=>[3]=>0
[-4,1,2,3,5,6]=>[4]=>0
[-5,-4,1,2,3,6]=>[3,2]=>0
[-6,-5,-4,1,2,3]=>[2]=>0
[6,1,-5,2,3,4]=>[2]=>0
[-5,6,1,2,3,4]=>[3]=>0
[-6,1,-5,2,3,4]=>[4,2]=>0
[1,6,-5,2,3,4]=>[2]=>0
[1,-6,-5,2,3,4]=>[3,2]=>0
[6,-5,1,2,3,4]=>[6]=>0
[1,-5,2,3,4,6]=>[4]=>0
[-5,1,2,3,4,6]=>[5]=>0
[1,2,-6,3,4,5]=>[4]=>0
[1,-6,2,3,4,5]=>[5]=>0
[-6,1,2,3,4,5]=>[6]=>0
[2,-3,1,4,5,6]=>[3]=>0
[-4,3,1,2,5,6]=>[4]=>0
[-5,2,1,3,4,6]=>[4]=>0
[4,1,-5,2,3,6]=>[2]=>0
[-2,1,-6,3,4,5]=>[4,2]=>0
[3,1,-6,2,4,5]=>[6]=>0
[1,-4,-6,2,3,5]=>[3,2]=>0
[1,-6,5,2,3,4]=>[3]=>0
[-4,3,5,1,2,6]=>[2]=>0
[4,2,-5,1,3,6]=>[2]=>0
[6,2,-4,1,3,5]=>[5]=>0
[6,-2,-5,1,3,4]=>[2,1]=>0
[6,-5,3,1,2,4]=>[2]=>0
[3,-6,4,1,2,5]=>[3]=>0
[-2,-5,-6,1,3,4]=>[6]=>0
[4,5,1,-6,2,3]=>[4]=>0
[3,2,-5,1,4,6]=>[4]=>0
[2,-4,-5,1,3,6]=>[3,2]=>0
[4,-5,3,1,2,6]=>[2]=>0
[-2,-4,-6,1,3,5]=>[3]=>0
[-4,-6,3,1,2,5]=>[3,2]=>0
[-6,5,3,1,2,4]=>[3]=>0
[-5,-3,2,-6,1,4]=>[2,2,2]=>0
[5,-6,2,-4,1,3]=>[3,1]=>0
[4,-6,3,5,1,2]=>[2]=>0
[-4,-6,2,-5,1,3]=>[3]=>0
[-3,2,6,-4,1,5]=>[4,1]=>0
[4,-5,3,6,1,2]=>[5]=>0
[5,-3,2,-6,1,4]=>[2,2]=>0
[4,5,2,-6,1,3]=>[6]=>0
[-4,-6,3,5,1,2]=>[3,2]=>0
[-5,4,2,-6,1,3]=>[4,2]=>0
[-6,5,3,4,1,2]=>[4]=>0
[-3,-4,2,-6,1,5]=>[6]=>0
[-5,3,2,-6,1,4]=>[2,2]=>0
[-4,2,-5,-6,1,3]=>[5]=>0
[-5,4,-6,3,1,2]=>[4,2]=>0
[3,5,6,4,1,-2]=>[5]=>0
[4,5,3,6,1,-2]=>[5]=>0
[4,5,6,3,1,-2]=>[6]=>0
[4,6,3,1,5,-2]=>[2]=>0
[5,1,6,4,3,-2]=>[5]=>0
[5,6,3,4,1,-2]=>[2]=>0
[1,5,6,4,2,-3]=>[2]=>0
[4,2,5,6,1,-3]=>[5]=>0
[4,2,6,1,5,-3]=>[2]=>0
[4,5,2,6,1,-3]=>[6]=>0
[4,6,2,1,5,-3]=>[3]=>0
[5,2,1,6,4,-3]=>[5]=>0
[5,2,6,4,1,-3]=>[2]=>0
[5,6,2,4,1,-3]=>[3]=>0
[6,2,1,4,5,-3]=>[3]=>0
[1,5,3,6,2,-4]=>[2]=>0
[1,5,6,3,2,-4]=>[3]=>0
[1,6,3,2,5,-4]=>[3]=>0
[5,2,3,6,1,-4]=>[2]=>0
[5,2,6,3,1,-4]=>[3]=>0
[5,6,3,2,1,-4]=>[3]=>0
[6,2,3,1,5,-4]=>[3]=>0
[1,2,6,4,3,-5]=>[3]=>0
[1,6,3,4,2,-5]=>[3]=>0
[6,2,3,4,1,-5]=>[3]=>0
[3,4,5,6,7,1,-2]=>[7]=>0
[3,4,5,7,1,6,-2]=>[3]=>0
[3,4,6,1,7,5,-2]=>[7]=>0
[3,4,6,7,5,1,-2]=>[3]=>0
[3,4,7,1,5,6,-2]=>[5]=>0
[3,5,1,6,7,4,-2]=>[3]=>0
[3,5,1,7,4,6,-2]=>[4]=>0
[3,5,6,4,7,1,-2]=>[3]=>0
[3,5,6,7,4,1,-2]=>[4]=>0
[3,5,7,4,1,6,-2]=>[5]=>0
[3,6,1,4,7,5,-2]=>[4]=>0
[3,6,1,7,5,4,-2]=>[4]=>0
[3,6,7,4,5,1,-2]=>[5]=>0
[3,7,1,4,5,6,-2]=>[2]=>0
[4,1,5,6,7,3,-2]=>[7]=>0
[4,1,5,7,3,6,-2]=>[4]=>0
[4,1,6,3,7,5,-2]=>[7]=>0
[4,1,6,7,5,3,-2]=>[4]=>0
[4,1,7,3,5,6,-2]=>[5]=>0
[4,5,3,6,7,1,-2]=>[3]=>0
[4,5,3,7,1,6,-2]=>[5]=>0
[4,5,6,3,7,1,-2]=>[3]=>0
[4,5,6,7,1,3,-2]=>[5]=>0
[4,5,7,3,1,6,-2]=>[6]=>0
[4,6,3,1,7,5,-2]=>[4]=>0
[4,6,3,7,5,1,-2]=>[5]=>0
[4,6,7,3,5,1,-2]=>[6]=>0
[4,7,3,1,5,6,-2]=>[2]=>0
[5,1,3,6,7,4,-2]=>[4]=>0
[5,1,3,7,4,6,-2]=>[5]=>0
[5,1,6,4,7,3,-2]=>[4]=>0
[5,1,6,7,4,3,-2]=>[5]=>0
[5,1,7,4,3,6,-2]=>[5]=>0
[5,6,3,4,7,1,-2]=>[5]=>0
[5,6,3,7,4,1,-2]=>[6]=>0
[5,6,7,4,3,1,-2]=>[6]=>0
[5,7,3,4,1,6,-2]=>[2]=>0
[6,1,3,4,7,5,-2]=>[5]=>0
[6,1,3,7,5,4,-2]=>[5]=>0
[6,1,7,4,5,3,-2]=>[5]=>0
[6,7,3,4,5,1,-2]=>[2]=>0
[7,1,3,4,5,6,-2]=>[3]=>0
[1,4,5,6,7,2,-3]=>[3]=>0
[1,4,5,7,2,6,-3]=>[5]=>0
[1,4,6,2,7,5,-3]=>[4]=>0
[1,4,6,7,5,2,-3]=>[5]=>0
[1,4,7,2,5,6,-3]=>[2]=>0
[1,5,2,6,7,4,-3]=>[4]=>0
[1,5,2,7,4,6,-3]=>[5]=>0
[1,5,6,4,7,2,-3]=>[5]=>0
[1,5,6,7,4,2,-3]=>[6]=>0
[1,5,7,4,2,6,-3]=>[2]=>0
[1,6,2,4,7,5,-3]=>[5]=>0
[1,6,2,7,5,4,-3]=>[5]=>0
[1,6,7,4,5,2,-3]=>[2]=>0
[1,7,2,4,5,6,-3]=>[3]=>0
[4,2,5,6,7,1,-3]=>[3]=>0
[4,2,5,7,1,6,-3]=>[5]=>0
[4,2,6,1,7,5,-3]=>[4]=>0
[4,2,6,7,5,1,-3]=>[5]=>0
[4,2,7,1,5,6,-3]=>[2]=>0
[4,5,2,6,7,1,-3]=>[4]=>0
[4,5,2,7,1,6,-3]=>[6]=>0
[4,5,6,1,7,2,-3]=>[5]=>0
[4,5,6,7,2,1,-3]=>[5]=>0
[4,5,7,1,2,6,-3]=>[2]=>0
[4,6,2,1,7,5,-3]=>[5]=>0
[4,6,2,7,5,1,-3]=>[6]=>0
[4,6,7,1,5,2,-3]=>[2]=>0
[4,7,2,1,5,6,-3]=>[3]=>0
[5,2,1,6,7,4,-3]=>[4]=>0
[5,2,1,7,4,6,-3]=>[5]=>0
[5,2,6,4,7,1,-3]=>[5]=>0
[5,2,6,7,4,1,-3]=>[6]=>0
[5,2,7,4,1,6,-3]=>[2]=>0
[5,6,2,4,7,1,-3]=>[6]=>0
[5,6,2,7,4,1,-3]=>[7]=>0
[5,6,7,4,1,2,-3]=>[2]=>0
[5,7,2,4,1,6,-3]=>[3]=>0
[6,2,1,4,7,5,-3]=>[5]=>0
[6,2,1,7,5,4,-3]=>[5]=>0
[6,2,7,4,5,1,-3]=>[2]=>0
[6,7,2,4,5,1,-3]=>[3]=>0
[7,2,1,4,5,6,-3]=>[3]=>0
[1,2,5,6,7,3,-4]=>[5]=>0
[1,2,5,7,3,6,-4]=>[2]=>0
[1,2,6,3,7,5,-4]=>[5]=>0
[1,2,6,7,5,3,-4]=>[2]=>0
[1,2,7,3,5,6,-4]=>[3]=>0
[1,5,3,6,7,2,-4]=>[5]=>0
[1,5,3,7,2,6,-4]=>[2]=>0
[1,5,6,3,7,2,-4]=>[6]=>0
[1,5,6,7,2,3,-4]=>[2]=>0
[1,5,7,3,2,6,-4]=>[3]=>0
[1,6,3,2,7,5,-4]=>[5]=>0
[1,6,3,7,5,2,-4]=>[2]=>0
[1,6,7,3,5,2,-4]=>[3]=>0
[1,7,3,2,5,6,-4]=>[3]=>0
[5,2,3,6,7,1,-4]=>[5]=>0
[5,2,3,7,1,6,-4]=>[2]=>0
[5,2,6,3,7,1,-4]=>[6]=>0
[5,2,6,7,1,3,-4]=>[2]=>0
[5,2,7,3,1,6,-4]=>[3]=>0
[5,6,3,2,7,1,-4]=>[6]=>0
[5,6,3,7,1,2,-4]=>[2]=>0
[5,6,7,3,1,2,-4]=>[3]=>0
[5,7,3,2,1,6,-4]=>[3]=>0
[6,2,3,1,7,5,-4]=>[5]=>0
[6,2,3,7,5,1,-4]=>[2]=>0
[6,2,7,3,5,1,-4]=>[3]=>0
[6,7,3,2,5,1,-4]=>[3]=>0
[7,2,3,1,5,6,-4]=>[3]=>0
[1,2,3,6,7,4,-5]=>[2]=>0
[1,2,3,7,4,6,-5]=>[3]=>0
[1,2,6,4,7,3,-5]=>[2]=>0
[1,2,6,7,4,3,-5]=>[3]=>0
[1,2,7,4,3,6,-5]=>[3]=>0
[1,6,3,4,7,2,-5]=>[2]=>0
[1,6,3,7,4,2,-5]=>[3]=>0
[1,6,7,4,3,2,-5]=>[3]=>0
[1,7,3,4,2,6,-5]=>[3]=>0
[6,2,3,4,7,1,-5]=>[2]=>0
[6,2,3,7,4,1,-5]=>[3]=>0
[6,2,7,4,3,1,-5]=>[3]=>0
[6,7,3,4,2,1,-5]=>[3]=>0
[7,2,3,4,1,6,-5]=>[3]=>0
[1,2,3,4,7,5,-6]=>[3]=>0
[1,2,3,7,5,4,-6]=>[3]=>0
[1,2,7,4,5,3,-6]=>[3]=>0
[1,7,3,4,5,2,-6]=>[3]=>0
[7,2,3,4,5,1,-6]=>[3]=>0
[2,3,6,5,4,-1]=>[4]=>0
[2,6,3,5,4,-1]=>[3]=>0
[2,5,4,3,6,-1]=>[4]=>0
[2,6,4,3,5,-1]=>[3]=>0
[2,6,5,3,4,-1]=>[3]=>0
[2,6,5,4,3,-1]=>[3]=>0
[3,2,6,5,4,-1]=>[3]=>0
[6,2,3,5,4,-1]=>[2]=>0
[5,2,4,3,6,-1]=>[3]=>0
[6,2,4,3,5,-1]=>[2]=>0
[6,2,5,3,4,-1]=>[2]=>0
[6,2,5,4,3,-1]=>[2]=>0
[4,3,2,5,6,-1]=>[4]=>0
[4,3,2,6,5,-1]=>[3]=>0
[5,3,2,4,6,-1]=>[3]=>0
[6,3,2,4,5,-1]=>[2]=>0
[6,3,2,5,4,-1]=>[2]=>0
[5,4,2,3,6,-1]=>[3]=>0
[6,4,2,3,5,-1]=>[2]=>0
[6,5,2,3,4,-1]=>[2]=>0
[6,5,2,4,3,-1]=>[2]=>0
[5,4,3,2,6,-1]=>[3]=>0
[6,4,3,2,5,-1]=>[2]=>0
[6,5,3,2,4,-1]=>[2]=>0
[6,5,4,2,3,-1]=>[2]=>0
[6,5,4,3,2,-1]=>[2]=>0
[-2,-3,-4,-5,-6,1]=>[6]=>0
[2,-3,-4,-6,-5,1]=>[5,1]=>0
[-3,2,-6,-4,-5,1]=>[1,1]=>1
[3,2,-6,-5,-4,1]=>[3]=>0
[-3,4,2,-5,-6,1]=>[6]=>0
[3,4,2,-6,-5,1]=>[5,1]=>0
[-5,-3,2,-6,-4,1]=>[4,2]=>0
[4,5,2,-6,-3,1]=>[3,3]=>0
[-6,-3,2,-4,-5,1]=>[2,2,1,1]=>0
[6,-3,2,-5,-4,1]=>[2]=>0
[4,6,2,-3,-5,1]=>[5,1]=>0
[-5,6,2,-3,-4,1]=>[6]=>0
[5,6,2,-4,-3,1]=>[5,1]=>0
[-4,-5,2,3,-6,1]=>[6]=>0
[4,-6,2,3,-5,1]=>[5,1]=>0
[-4,6,2,3,-5,1]=>[5,1]=>0
[5,6,2,3,-4,1]=>[6]=>0
[2,5,3,4,-6,1]=>[4]=>0
[5,6,3,4,-2,1]=>[4]=>0
[-2,-3,-6,5,-4,1]=>[4,2]=>0
[4,-3,2,5,-6,1]=>[4,2]=>0
[4,2,3,5,-6,1]=>[4]=>0
[2,-6,4,5,-3,1]=>[3,3]=>0
[3,6,4,5,-2,1]=>[6]=>0
[-2,-3,-4,6,-5,1]=>[5,1]=>0
[2,-3,-5,6,-4,1]=>[6]=>0
[4,2,-3,6,-5,1]=>[1,1]=>1
[-4,2,3,6,-5,1]=>[3,1]=>0
[5,2,3,6,-4,1]=>[4]=>0
[-2,-5,4,6,-3,1]=>[6]=>0
[5,3,4,6,-2,1]=>[6]=>0
[-2,-3,5,6,-4,1]=>[6]=>0
[2,-4,5,6,-3,1]=>[4,2]=>0
[2,3,5,6,-4,1]=>[6]=>0
[-2,4,5,6,-3,1]=>[4,2]=>0
[3,4,5,6,-2,1]=>[6]=>0
[-4,-5,-6,3,1,2]=>[6]=>0
[4,-6,-5,3,1,2]=>[4,2]=>0
[4,5,-6,3,1,2]=>[6]=>0
[5,6,-4,3,1,2]=>[2]=>0
[5,-4,3,6,1,2]=>[3]=>0
[-4,3,5,6,1,2]=>[6]=>0
[-4,-5,-6,-2,1,3]=>[4,2]=>0
[-4,-6,-5,2,1,3]=>[6]=>0
[2,-4,-6,5,1,3]=>[4,2]=>0
[6,-4,-5,2,1,3]=>[4,2]=>0
[2,-5,-4,6,1,3]=>[3,3]=>0
[-6,5,1,4,2,3]=>[3]=>0
[2,-6,-5,-3,1,4]=>[6]=>0
[5,2,-6,3,1,4]=>[3]=>0
[2,6,-5,3,1,4]=>[6]=>0
[-6,5,-2,1,3,4]=>[3,3]=>0
[-5,6,2,1,3,4]=>[6]=>0
[-2,-3,-6,-4,1,5]=>[5,1]=>0
[-6,-2,4,-3,1,5]=>[3,2,1]=>0
[3,6,4,-2,1,5]=>[6]=>0
[-6,-2,-3,1,4,5]=>[4,1,1]=>0
[-6,2,3,1,4,5]=>[4]=>0
[-2,6,1,3,4,5]=>[6]=>0
[4,2,-3,-5,1,6]=>[3,1]=>0
[-5,2,-3,-4,1,6]=>[2,1,1]=>0
[-2,-5,4,-3,1,6]=>[2]=>0
[5,3,4,-2,1,6]=>[3]=>0
[3,4,5,-2,1,6]=>[2]=>0
[-4,-5,3,1,2,6]=>[2,2]=>0
[5,-4,3,1,2,6]=>[4]=>0
[-4,-5,-2,1,3,6]=>[2]=>0
[2,-5,3,1,4,6]=>[4]=>0
[-2,-3,-4,1,5,6]=>[4]=>0
[2,-4,-3,1,5,6]=>[3,1]=>0
[2,3,-4,1,5,6]=>[4]=>0
[-2,4,-3,1,5,6]=>[3,1]=>0
[3,4,-2,1,5,6]=>[4]=>0
[5,-6,1,2,3,4]=>[3]=>0
[4,-5,1,2,3,6]=>[5]=>0
[4,6,-5,1,2,3]=>[4]=>0
[-5,4,-6,1,2,3]=>[4,2]=>0
[5,-6,-3,1,2,4]=>[5,1]=>0
[5,-6,-4,-3,1,2]=>[2]=>0
[4,-5,-3,1,2,6]=>[2,1]=>0
[4,-6,-5,-3,1,2]=>[2]=>0
[-5,4,-6,-3,1,2]=>[2]=>0
[3,-4,1,2,5,6]=>[2]=>0
[3,-6,-4,1,2,5]=>[3,3]=>0
[3,-5,-4,1,2,6]=>[3,2]=>0
[3,-6,-5,-4,1,2]=>[3,2,1]=>0
[3,5,-6,-4,1,2]=>[5,1]=>0
[3,5,-4,1,2,6]=>[3]=>0
[3,6,-5,-4,1,2]=>[3,1]=>0
[-6,3,5,-4,1,2]=>[5,1]=>0
[-4,3,-5,1,2,6]=>[3,2]=>0
[-4,3,-6,-5,1,2]=>[3]=>0
[-6,-4,3,-5,1,2]=>[5]=>0
[5,-6,-4,-2,1,3]=>[4]=>0
[4,-6,-5,-2,1,3]=>[6]=>0
[4,6,-5,-3,-2,1]=>[6]=>0
[3,-6,-4,-2,1,5]=>[6]=>0
[3,-5,-4,-2,1,6]=>[5]=>0
[3,-6,-5,-4,-2,1]=>[5,1]=>0
[3,5,-6,-4,-2,1]=>[3,2,1]=>0
[3,5,6,-4,-2,1]=>[2,1]=>0
[-6,3,5,-4,-2,1]=>[3,2,1]=>0
[-4,3,-5,-2,1,6]=>[5]=>0
[-4,3,6,-5,-2,1]=>[6]=>0
[-6,-4,3,-5,-2,1]=>[3,2]=>0
[4,-5,3,-6,-2,1]=>[3]=>0
[2,-6,-3,1,4,5]=>[5,1]=>0
[2,-5,-3,1,4,6]=>[4,1]=>0
[2,-6,-4,-3,1,5]=>[4]=>0
[2,-5,-4,-3,1,6]=>[3]=>0
[2,-6,-5,-4,-3,1]=>[3,1]=>0
[2,4,-6,-5,-3,1]=>[6]=>0
[-5,2,4,-6,-3,1]=>[5]=>0
[-5,2,-6,-4,-3,1]=>[4,1]=>0
[2,4,5,-3,1,6]=>[5]=>0
[2,5,6,-4,-3,1]=>[5,1]=>0
[2,4,5,6,-3,1]=>[2]=>0
[-6,2,4,5,-3,1]=>[3,2]=>0
[-5,2,4,-3,1,6]=>[2,2]=>0
[-4,2,6,-5,-3,1]=>[5]=>0
[-6,-5,2,4,-3,1]=>[2]=>0
[-3,2,5,-6,-4,1]=>[5]=>0
[-3,2,5,-4,1,6]=>[3,1]=>0
[-3,2,6,-5,-4,1]=>[3]=>0
[-6,-3,2,5,-4,1]=>[2,2,2]=>0
[-5,-3,2,-4,1,6]=>[2,2,1]=>0
[-6,-3,2,-5,-4,1]=>[2,2]=>0
[-5,-3,2,6,-4,1]=>[2]=>0
[-6,-5,-3,2,-4,1]=>[2,1]=>0
[3,-4,2,6,-5,1]=>[5,1]=>0
[3,6,-4,2,-5,1]=>[5,1]=>0
[-6,1,5,2,3,4]=>[4]=>0
[-6,1,4,2,3,5]=>[6]=>0
[-6,-4,-5,1,2,3]=>[6]=>0
[-6,3,5,1,2,4]=>[3]=>0
[4,-6,5,1,2,3]=>[4]=>0
[5,2,-6,1,3,4]=>[5]=>0
[-6,-3,-5,1,2,4]=>[3]=>0
[4,1,-6,-5,2,3]=>[4,2]=>0
[-4,3,6,1,2,5]=>[2]=>0
[3,-6,5,1,2,4]=>[6]=>0
[4,2,-6,1,3,5]=>[3]=>0
[-4,2,-6,-5,1,3]=>[2]=>0
[-4,-3,6,-5,1,2]=>[3]=>0
[-5,3,-6,-2,1,4]=>[2]=>0
[-5,-4,2,-6,1,3]=>[2]=>0
[3,-6,4,5,1,2]=>[2]=>0
[1,2,-7,-6,3,4,5]=>[3,2]=>0
[1,7,-6,-5,2,3,4]=>[4,2]=>0
[6,1,2,-7,3,4,5]=>[7]=>0
[-5,1,7,-6,2,3,4]=>[4,3]=>0
[1,5,-7,-4,2,3,6]=>[3,1]=>0
[5,1,2,-7,3,4,6]=>[3]=>0
[1,-6,7,2,3,4,5]=>[3]=>0
[1,-5,-7,-6,2,3,4]=>[2]=>0
[-5,7,6,1,2,3,4]=>[5]=>0
[-7,4,-3,1,2,5,6]=>[6,1]=>0
[6,-7,3,1,2,4,5]=>[3]=>0
[-6,5,7,-3,1,2,4]=>[4,3]=>0
[6,-7,1,4,2,3,5]=>[3]=>0
[6,5,1,-7,2,3,4]=>[2]=>0
[-5,-7,-4,-3,1,2,6]=>[3,2]=>0
[7,-6,-5,-4,-3,1,2]=>[4,1]=>0
[-2,1,-7,3,4,5,6]=>[5,2]=>0
[-7,2,-5,1,3,4,6]=>[4,2]=>0
[-2,-7,-6,-5,1,3,4]=>[5,2]=>0
[-4,2,-7,1,3,5,6]=>[4,2]=>0
[2,7,-6,-4,1,3,5]=>[2,1]=>0
[-2,-6,-7,1,3,4,5]=>[3]=>0
[2,5,-7,-4,1,3,6]=>[3,1]=>0
[-7,2,6,-4,1,3,5]=>[3,1]=>0
[6,-5,2,-7,1,3,4]=>[5,2]=>0
[3,1,-7,-6,2,4,5]=>[5,2]=>0
[1,-7,4,2,3,5,6]=>[6]=>0
[1,-4,-7,-6,2,3,5]=>[6]=>0
[1,-7,5,2,3,4,6]=>[4]=>0
[1,6,2,-7,3,4,5]=>[6]=>0
[6,1,7,-5,2,3,4]=>[7]=>0
[4,-5,7,1,2,3,6]=>[2]=>0
[-4,7,6,1,2,3,5]=>[2]=>0
[7,-5,1,6,2,3,4]=>[2]=>0
[4,1,-7,-6,-5,2,3]=>[4,2,1]=>0
[-3,6,7,-4,1,2,5]=>[4,1]=>0
[3,6,1,-7,2,4,5]=>[5]=>0
[-4,7,5,1,2,3,6]=>[2]=>0
[7,5,1,-6,2,3,4]=>[5]=>0
[7,-5,-4,-6,1,2,3]=>[7]=>0
[-5,-3,-7,-4,1,2,6]=>[2,1]=>0
[-7,-4,3,6,1,2,5]=>[3,3]=>0
[4,5,-7,6,1,2,3]=>[2]=>0
[2,3,-7,-6,1,4,5]=>[5,2]=>0
[3,7,-5,-2,1,4,6]=>[4,3]=>0
[3,-7,-6,-5,-2,1,4]=>[4,3]=>0
[-2,-5,-7,1,3,4,6]=>[7]=>0
[7,-6,2,1,3,4,5]=>[7]=>0
[2,-5,-7,-6,1,3,4]=>[3]=>0
[5,6,2,-7,1,3,4]=>[2]=>0
[-4,2,-7,-6,-5,1,3]=>[2,1]=>0
[3,5,1,-7,2,4,6]=>[3]=>0
[-6,7,3,1,2,4,5]=>[3]=>0
[-3,-5,7,-6,1,2,4]=>[7]=>0
[5,4,1,-7,2,3,6]=>[7]=>0
[7,4,1,-6,2,3,5]=>[7]=>0
[-7,1,-6,5,2,3,4]=>[5,2]=>0
[-5,4,1,-7,-6,2,3]=>[7]=>0
[-7,5,3,6,1,2,4]=>[6]=>0
[-5,4,7,6,1,2,3]=>[2]=>0
[-4,-3,7,-6,-5,1,2]=>[3,1]=>0
[3,4,-7,-2,1,5,6]=>[5,2]=>0
[-5,2,3,-7,1,4,6]=>[3,2]=>0
[6,2,3,-7,1,4,5]=>[5]=>0
[-4,-6,2,-7,1,3,5]=>[3]=>0
[-5,2,-6,-7,1,3,4]=>[2,2,2]=>0
[3,6,-7,4,1,2,5]=>[4]=>0
[6,5,-7,3,1,2,4]=>[3]=>0
[6,4,5,1,-7,2,3]=>[3]=>0
[-5,-4,-3,7,-6,1,2]=>[3,1]=>0
[-6,4,-7,-3,-2,1,5]=>[5,2]=>0
[-6,-5,3,-7,-2,1,4]=>[2,2]=>0
[-6,-5,-4,2,-7,1,3]=>[5,2]=>0
[-7,-6,-5,-4,-3,-2,1]=>[2,1]=>0
[3,1,2,6,5,-4]=>[2]=>0
[3,1,6,2,4,-5]=>[6]=>0
[4,6,1,2,3,-5]=>[6]=>0
[1,6,5,3,4,-2]=>[2]=>0
[6,1,5,2,4,-3]=>[6]=>0
[6,5,1,2,3,-4]=>[6]=>0
[6,4,1,2,3,-5]=>[4]=>0
[1,4,3,6,5,8,7,-2]=>[4]=>0
[4,1,2,6,5,8,7,-3]=>[6]=>0
[3,1,2,6,5,8,7,-4]=>[3]=>0
[3,1,6,2,4,8,7,-5]=>[7]=>0
[3,1,5,2,4,8,7,-6]=>[2]=>0
[3,1,5,2,8,4,6,-7]=>[8]=>0
[4,5,1,2,8,3,6,-7]=>[8]=>0
[4,5,1,2,3,8,7,-6]=>[2]=>0
[4,6,1,2,3,8,7,-5]=>[7]=>0
[5,6,1,2,3,8,7,-4]=>[4]=>0
[5,1,6,2,4,8,7,-3]=>[3]=>0
[1,5,6,3,4,8,7,-2]=>[6]=>0
[1,6,5,3,4,8,7,-2]=>[3]=>0
[6,1,5,2,4,8,7,-3]=>[7]=>0
[6,5,1,2,3,8,7,-4]=>[7]=>0
[6,4,1,2,3,8,7,-5]=>[5]=>0
[5,4,1,2,3,8,7,-6]=>[2]=>0
[5,4,1,2,8,3,6,-7]=>[6]=>0
[6,4,1,8,2,3,5,-7]=>[5]=>0
[7,4,1,8,2,3,5,-6]=>[8]=>0
[7,4,1,2,8,3,6,-5]=>[2]=>0
[7,5,1,2,8,3,6,-4]=>[4]=>0
[7,1,5,2,8,4,6,-3]=>[3]=>0
[1,7,5,3,8,4,6,-2]=>[7]=>0
[1,8,5,3,7,4,6,-2]=>[2]=>0
[8,1,5,2,7,4,6,-3]=>[8]=>0
[8,5,1,2,7,3,6,-4]=>[8]=>0
[8,4,1,2,7,3,6,-5]=>[6]=>0
[8,4,1,7,2,3,5,-6]=>[4]=>0
[8,4,1,6,2,3,5,-7]=>[8]=>0
[8,5,6,1,2,3,4,-7]=>[4]=>0
[8,5,7,1,2,3,4,-6]=>[6]=>0
[8,6,7,1,2,3,4,-5]=>[8]=>0
[8,6,1,7,2,3,5,-4]=>[8]=>0
[8,1,6,7,2,4,5,-3]=>[8]=>0
[1,8,6,7,3,4,5,-2]=>[2]=>0
[1,7,6,8,3,4,5,-2]=>[7]=>0
[7,1,6,8,2,4,5,-3]=>[4]=>0
[7,6,1,8,2,3,5,-4]=>[2]=>0
[7,6,8,1,2,3,4,-5]=>[5]=>0
[7,5,8,1,2,3,4,-6]=>[3]=>0
[6,5,8,1,2,3,4,-7]=>[6]=>0
[5,6,8,1,2,3,4,-7]=>[8]=>0
[5,7,8,1,2,3,4,-6]=>[3]=>0
[6,7,8,1,2,3,4,-5]=>[8]=>0
[6,7,1,8,2,3,5,-4]=>[2]=>0
[6,1,7,8,2,4,5,-3]=>[8]=>0
[1,6,7,8,3,4,5,-2]=>[4]=>0
[1,5,7,3,8,4,6,-2]=>[3]=>0
[5,1,7,2,8,4,6,-3]=>[8]=>0
[5,7,1,2,8,3,6,-4]=>[8]=>0
[4,7,1,2,8,3,6,-5]=>[2]=>0
[4,7,1,8,2,3,5,-6]=>[5]=>0
[4,6,1,8,2,3,5,-7]=>[8]=>0
[3,1,6,8,2,4,5,-7]=>[8]=>0
[3,1,7,8,2,4,5,-6]=>[3]=>0
[3,1,7,2,8,4,6,-5]=>[2]=>0
[3,1,2,7,8,5,6,-4]=>[5]=>0
[4,1,2,7,8,5,6,-3]=>[8]=>0
[1,4,3,7,8,5,6,-2]=>[6]=>0
[1,4,3,8,7,5,6,-2]=>[3]=>0
[4,1,2,8,7,5,6,-3]=>[5]=>0
[3,1,2,8,7,5,6,-4]=>[2]=>0
[3,1,8,2,7,4,6,-5]=>[8]=>0
[3,1,8,7,2,4,5,-6]=>[8]=>0
[3,1,8,6,2,4,5,-7]=>[6]=>0
[4,8,1,6,2,3,5,-7]=>[4]=>0
[4,8,1,7,2,3,5,-6]=>[8]=>0
[4,8,1,2,7,3,6,-5]=>[8]=>0
[5,8,1,2,7,3,6,-4]=>[3]=>0
[5,1,8,2,7,4,6,-3]=>[2]=>0
[1,5,8,3,7,4,6,-2]=>[7]=>0
[1,6,8,7,3,4,5,-2]=>[7]=>0
[6,1,8,7,2,4,5,-3]=>[2]=>0
[6,8,1,7,2,3,5,-4]=>[5]=>0
[6,8,7,1,2,3,4,-5]=>[3]=>0
[5,8,7,1,2,3,4,-6]=>[8]=>0
[5,8,6,1,2,3,4,-7]=>[6]=>0
[6,8,5,1,2,3,4,-7]=>[8]=>0
[7,8,5,1,2,3,4,-6]=>[5]=>0
[7,8,6,1,2,3,4,-5]=>[3]=>0
[7,8,1,6,2,3,5,-4]=>[8]=>0
[7,1,8,6,2,4,5,-3]=>[2]=>0
[1,7,8,6,3,4,5,-2]=>[5]=>0
[1,8,7,6,3,4,5,-2]=>[2]=>0
[8,1,7,6,2,4,5,-3]=>[6]=>0
[8,7,1,6,2,3,5,-4]=>[5]=>0
[8,7,6,1,2,3,4,-5]=>[6]=>0
[8,7,5,1,2,3,4,-6]=>[8]=>0
[8,6,5,1,2,3,4,-7]=>[4]=>0
[1,6,5,4,3,-2]=>[2]=>0
[1,6,3,5,4,-2]=>[2]=>0
[1,6,4,3,5,-2]=>[2]=>0
[2,1,6,5,4,-3]=>[2]=>0
[2,1,6,4,5,-3]=>[2]=>0
[1,2,6,5,4,-3]=>[2]=>0
[1,3,6,5,4,-2]=>[3]=>0
[3,2,1,6,5,-4]=>[2]=>0
[1,3,2,6,5,-4]=>[2]=>0
[2,1,3,6,5,-4]=>[2]=>0
[2,1,4,6,5,-3]=>[3]=>0
[4,3,2,1,6,-5]=>[2]=>0
[4,3,1,2,6,-5]=>[2]=>0
[4,1,3,2,6,-5]=>[2]=>0
[4,2,1,3,6,-5]=>[2]=>0
[4,1,2,3,6,-5]=>[2]=>0
[1,4,3,2,6,-5]=>[2]=>0
[1,4,2,3,6,-5]=>[2]=>0
[2,1,4,3,6,-5]=>[2]=>0
[1,2,4,3,6,-5]=>[2]=>0
[3,2,1,4,6,-5]=>[2]=>0
[3,1,2,4,6,-5]=>[2]=>0
[1,3,2,4,6,-5]=>[2]=>0
[2,1,3,4,6,-5]=>[2]=>0
[1,5,4,3,6,-2]=>[3]=>0
[2,1,5,4,6,-3]=>[3]=>0
[3,2,1,5,6,-4]=>[3]=>0
[3,1,2,5,6,-4]=>[3]=>0
[1,3,2,5,6,-4]=>[3]=>0
[2,1,3,5,6,-4]=>[3]=>0
[2,1,4,5,6,-3]=>[4]=>0
[-2,1,-4,3,-6,5]=>[2,2,2]=>0
[-2,4,1,3,-6,5]=>[4,2]=>0
[-2,1,-4,6,3,5]=>[4,2]=>0
[-2,6,1,-4,3,5]=>[5,1]=>0
[-2,4,1,6,3,5]=>[6]=>0
[-2,1,-4,3,5,6]=>[2,2]=>0
[-2,4,1,3,5,6]=>[4]=>0
[-2,1,5,-4,3,6]=>[2,1]=>0
[5,-2,1,-4,3,6]=>[1,1]=>1
[-2,4,5,1,3,6]=>[3]=>0
[-2,1,5,6,-4,3]=>[4,2]=>0
[5,-2,1,6,-4,3]=>[5,1]=>0
[5,6,-2,1,-4,3]=>[3,3]=>0
[-2,4,5,6,1,3]=>[6]=>0
[-2,1,-6,3,-5,4]=>[3,2,1]=>0
[-2,6,1,3,-5,4]=>[5,1]=>0
[-2,6,-5,1,3,4]=>[4,2]=>0
[-2,1,5,6,3,4]=>[2]=>0
[-2,1,5,3,4,6]=>[2]=>0
[-2,1,3,-5,4,6]=>[2,2]=>0
[3,-2,1,-5,4,6]=>[2,1]=>0
[-2,1,3,6,-5,4]=>[2,1]=>0
[3,-2,1,6,-5,4]=>[1,1]=>1
[3,6,-2,1,-5,4]=>[5,1]=>0
[-2,1,3,6,4,5]=>[2]=>0
[3,-2,-6,1,4,5]=>[5,1]=>0
[-2,1,3,4,-6,5]=>[2,2]=>0
[3,-2,1,4,-6,5]=>[2,1]=>0
[3,4,-2,1,-6,5]=>[4,2]=>0
[3,4,-2,6,1,5]=>[6]=>0
[-4,1,-3,2,-6,5]=>[3,2,1]=>0
[3,4,1,2,-6,5]=>[2]=>0
[-4,1,-3,6,2,5]=>[5,1]=>0
[-4,1,-3,2,5,6]=>[3,1]=>0
[-4,1,5,6,-3,2]=>[4,2]=>0
[5,-4,1,6,-3,2]=>[3,3]=>0
[-6,1,-3,2,-5,4]=>[4,1,1]=>0
[5,6,1,-3,2,4]=>[6]=>0
[3,1,2,-5,4,6]=>[2]=>0
[1,-3,2,-5,4,6]=>[2,2]=>0
[1,-3,5,2,4,6]=>[4]=>0
[1,-3,2,6,-5,4]=>[2,1]=>0
[1,6,-3,2,-5,4]=>[1,1]=>1
[1,-3,5,6,2,4]=>[3]=>0
[1,-3,2,6,4,5]=>[2]=>0
[3,1,2,4,-6,5]=>[2]=>0
[1,-3,2,4,-6,5]=>[2,2]=>0
[1,4,-3,2,-6,5]=>[2,1]=>0
[1,-3,2,4,5,6]=>[2]=>0
[1,4,5,-3,2,6]=>[4]=>0
[1,4,5,6,-3,2]=>[2]=>0
[-6,1,-5,2,-4,3]=>[6]=>0
[5,6,1,2,-4,3]=>[6]=>0
[5,-4,1,6,2,3]=>[6]=>0
[1,-5,2,-4,3,6]=>[3,1]=>0
[-4,1,5,2,3,6]=>[3]=>0
[5,1,2,6,-4,3]=>[6]=>0
[-4,1,5,6,2,3]=>[6]=>0
[-6,1,2,-4,3,5]=>[5,1]=>0
[-4,1,2,6,3,5]=>[6]=>0
[1,4,2,3,-6,5]=>[2]=>0
[-4,1,2,3,-6,5]=>[4,2]=>0
[1,2,-4,3,-6,5]=>[2,2]=>0
[1,2,-4,6,3,5]=>[4]=>0
[1,2,-4,3,5,6]=>[2]=>0
[1,2,5,6,-4,3]=>[4]=>0
[-6,1,2,3,-5,4]=>[5,1]=>0
[1,2,-6,3,-5,4]=>[3,1]=>0
[1,-5,2,6,3,4]=>[3]=>0
[1,2,3,-5,4,6]=>[2]=>0
[1,2,3,4,-6,5]=>[2]=>0
[1,2,5,-4,-6,3]=>[3,1]=>0
[1,2,-4,6,-5,3]=>[3,1]=>0
[1,2,-4,-5,-6,3]=>[4]=>0
[1,-3,2,-5,-6,4]=>[2]=>0
[1,4,-3,-5,2,6]=>[3,1]=>0
[1,4,-3,6,-5,2]=>[1,1]=>1
[1,-3,-4,2,-6,5]=>[2]=>0
[1,-3,5,-4,2,6]=>[3,1]=>0
[-3,1,4,6,-5,2]=>[5,1]=>0
[3,1,4,5,-6,2]=>[6]=>0
[-3,1,4,-5,-6,2]=>[6]=>0
[1,-3,-4,-5,2,6]=>[4]=>0
[1,-3,-6,5,-4,2]=>[2]=>0
[-2,1,3,-5,-6,4]=>[2]=>0
[-2,1,5,-4,-6,3]=>[3,2,1]=>0
[-2,1,-4,-5,3,6]=>[2]=>0
[-2,1,-4,6,-5,3]=>[3,2,1]=>0
[-2,-4,1,5,-6,3]=>[6]=>0
[-2,1,-4,-5,-6,3]=>[4,2]=>0
[3,4,5,-2,-6,1]=>[4,2]=>0
[3,4,-2,6,-5,1]=>[5,1]=>0
[3,-2,4,5,-6,1]=>[5,1]=>0
[3,4,-2,-5,-6,1]=>[6]=>0
[3,-2,-4,1,5,6]=>[3,1]=>0
[3,-2,-4,1,-6,5]=>[3,2,1]=>0
[3,-2,5,-4,1,6]=>[1,1]=>1
[3,-2,5,6,-4,1]=>[5,1]=>0
[3,-2,5,-4,-6,1]=>[4,1,1]=>0
[-2,3,4,6,-5,1]=>[5,1]=>0
[2,3,4,5,-6,1]=>[6]=>0
[-2,3,4,-5,-6,1]=>[6]=>0
[3,-2,-4,6,-5,1]=>[4,1,1]=>0
[3,-2,-6,5,-4,1]=>[3,2,1]=>0
[3,-2,-4,-5,-6,1]=>[5,1]=>0
[-2,-3,1,4,-6,5]=>[2]=>0
[-2,-3,1,-5,4,6]=>[2]=>0
[-2,4,-3,1,-6,5]=>[3,2,1]=>0
[-2,4,5,-3,-6,1]=>[6]=>0
[-2,4,-3,6,-5,1]=>[4,1,1]=>0
[-2,-3,4,5,-6,1]=>[6]=>0
[-2,4,-3,-5,-6,1]=>[5,1]=>0
[2,3,-4,1,-6,5]=>[4,2]=>0
[2,3,5,-4,-6,1]=>[5,1]=>0
[5,3,4,-2,-6,1]=>[3,3]=>0
[2,3,-4,6,-5,1]=>[5,1]=>0
[2,3,-4,-5,-6,1]=>[6]=>0
[-2,-3,-4,1,-6,5]=>[4,2]=>0
[-2,-3,5,-4,-6,1]=>[5,1]=>0
[-2,-5,4,-3,-6,1]=>[4,2]=>0
[3,2,6,1,4,-5]=>[5]=>0
[4,6,2,1,3,-5]=>[4]=>0
[6,1,5,4,2,-3]=>[5]=>0
[6,5,1,3,2,-4]=>[4]=>0
[6,4,3,1,2,-5]=>[5]=>0
[3,2,1,6,5,8,7,-4]=>[3]=>0
[3,2,6,1,4,8,7,-5]=>[6]=>0
[3,2,5,4,1,8,7,-6]=>[2]=>0
[3,2,5,4,8,1,6,-7]=>[6]=>0
[4,5,2,3,8,1,6,-7]=>[8]=>0
[4,5,2,3,1,8,7,-6]=>[2]=>0
[4,6,2,1,3,8,7,-5]=>[5]=>0
[1,6,5,4,3,8,7,-2]=>[3]=>0
[6,1,5,4,2,8,7,-3]=>[6]=>0
[6,5,1,3,2,8,7,-4]=>[5]=>0
[6,4,3,1,2,8,7,-5]=>[6]=>0
[5,4,3,2,1,8,7,-6]=>[2]=>0
[5,4,3,2,8,1,6,-7]=>[5]=>0
[6,4,3,8,2,1,5,-7]=>[5]=>0
[7,4,3,8,1,2,5,-6]=>[4]=>0
[7,4,3,1,8,2,6,-5]=>[2]=>0
[7,5,1,3,8,2,6,-4]=>[8]=>0
[7,1,5,4,8,2,6,-3]=>[3]=>0
[1,7,5,4,8,3,6,-2]=>[6]=>0
[1,8,5,4,7,6,3,-2]=>[2]=>0
[8,1,5,4,7,6,2,-3]=>[6]=>0
[8,5,1,3,7,6,2,-4]=>[4]=>0
[8,4,3,1,7,6,2,-5]=>[6]=>0
[8,4,3,7,1,5,2,-6]=>[4]=>0
[8,4,3,6,5,1,2,-7]=>[6]=>0
[8,5,6,3,4,1,2,-7]=>[8]=>0
[8,5,7,3,1,4,2,-6]=>[8]=>0
[8,6,7,1,3,4,2,-5]=>[8]=>0
[8,6,1,7,3,5,2,-4]=>[8]=>0
[8,1,6,7,4,5,2,-3]=>[8]=>0
[1,8,6,7,4,5,3,-2]=>[2]=>0
[1,7,6,8,4,3,5,-2]=>[5]=>0
[7,1,6,8,4,2,5,-3]=>[8]=>0
[7,6,1,8,3,2,5,-4]=>[2]=>0
[7,6,8,1,3,2,4,-5]=>[3]=>0
[7,5,8,3,1,2,4,-6]=>[8]=>0
[6,5,8,3,2,1,4,-7]=>[4]=>0
[5,6,8,2,3,1,4,-7]=>[8]=>0
[5,7,8,2,1,3,4,-6]=>[3]=>0
[4,7,2,1,8,3,6,-5]=>[2]=>0
[4,7,2,8,1,3,5,-6]=>[8]=>0
[4,6,2,8,3,1,5,-7]=>[8]=>0
[3,2,6,8,4,1,5,-7]=>[4]=>0
[3,2,7,8,1,4,5,-6]=>[3]=>0
[3,2,7,1,8,4,6,-5]=>[2]=>0
[3,2,1,7,8,5,6,-4]=>[5]=>0
[1,4,3,8,7,6,5,-2]=>[3]=>0
[4,1,2,8,7,6,5,-3]=>[5]=>0
[3,2,1,8,7,6,5,-4]=>[2]=>0
[3,2,8,1,7,6,4,-5]=>[6]=>0
[3,2,8,7,1,5,4,-6]=>[5]=>0
[3,2,8,6,5,1,4,-7]=>[6]=>0
[4,8,2,6,5,1,3,-7]=>[4]=>0
[4,8,2,7,1,5,3,-6]=>[8]=>0
[4,8,2,1,7,6,3,-5]=>[5]=>0
[5,8,1,2,7,6,3,-4]=>[3]=>0
[5,1,8,2,7,6,4,-3]=>[2]=>0
[1,5,8,3,7,6,4,-2]=>[6]=>0
[1,6,8,7,3,5,4,-2]=>[5]=>0
[6,1,8,7,2,5,4,-3]=>[2]=>0
[6,8,1,7,2,5,3,-4]=>[8]=>0
[6,8,7,1,2,4,3,-5]=>[3]=>0
[5,8,7,2,1,4,3,-6]=>[4]=>0
[5,8,6,2,4,1,3,-7]=>[8]=>0
[6,8,5,4,2,1,3,-7]=>[5]=>0
[7,8,5,4,1,2,3,-6]=>[3]=>0
[7,8,6,1,4,2,3,-5]=>[8]=>0
[7,8,1,6,5,2,3,-4]=>[4]=>0
[7,1,8,6,5,2,4,-3]=>[2]=>0
[1,7,8,6,5,3,4,-2]=>[6]=>0
[1,8,7,6,5,4,3,-2]=>[2]=>0
[8,1,7,6,5,4,2,-3]=>[5]=>0
[8,7,1,6,5,3,2,-4]=>[5]=>0
[8,7,6,1,4,3,2,-5]=>[4]=>0
[8,7,5,4,1,3,2,-6]=>[5]=>0
[8,6,5,4,3,1,2,-7]=>[5]=>0
[6,4,3,2,1,-5]=>[3]=>0
[6,4,2,3,1,-5]=>[3]=>0
[6,4,2,1,3,-5]=>[6]=>0
[6,3,4,2,1,-5]=>[3]=>0
[6,3,4,1,2,-5]=>[6]=>0
[6,3,2,4,1,-5]=>[3]=>0
[6,3,2,1,4,-5]=>[4]=>0
[6,3,1,2,4,-5]=>[6]=>0
[6,2,3,1,4,-5]=>[4]=>0
[6,2,1,3,4,-5]=>[5]=>0
[4,6,3,2,1,-5]=>[5]=>0
[4,6,3,1,2,-5]=>[3]=>0
[4,6,2,3,1,-5]=>[6]=>0
[4,3,6,2,1,-5]=>[6]=>0
[4,3,6,1,2,-5]=>[4]=>0
[4,3,2,6,1,-5]=>[4]=>0
[4,2,3,6,1,-5]=>[4]=>0
[4,2,3,1,6,-5]=>[2]=>0
[3,4,6,2,1,-5]=>[4]=>0
[3,4,6,1,2,-5]=>[6]=>0
[3,4,2,6,1,-5]=>[6]=>0
[3,4,2,1,6,-5]=>[2]=>0
[3,4,1,2,6,-5]=>[2]=>0
[3,2,4,6,1,-5]=>[5]=>0
[3,2,4,1,6,-5]=>[2]=>0
[2,3,4,6,1,-5]=>[6]=>0
[2,3,4,1,6,-5]=>[2]=>0
[2,3,1,4,6,-5]=>[2]=>0
[5,6,3,1,2,-4]=>[5]=>0
[5,6,2,3,1,-4]=>[4]=>0
[5,6,2,1,3,-4]=>[6]=>0
[5,3,6,2,1,-4]=>[4]=>0
[5,3,6,1,2,-4]=>[6]=>0
[5,3,2,6,1,-4]=>[2]=>0
[5,3,2,1,6,-4]=>[4]=>0
[5,3,1,2,6,-4]=>[6]=>0
[5,2,3,1,6,-4]=>[4]=>0
[5,2,1,3,6,-4]=>[5]=>0
[3,5,6,2,1,-4]=>[6]=>0
[3,5,6,1,2,-4]=>[4]=>0
[3,5,2,6,1,-4]=>[2]=>0
[3,5,2,1,6,-4]=>[6]=>0
[3,5,1,2,6,-4]=>[4]=>0
[3,2,5,6,1,-4]=>[2]=>0
[3,2,5,1,6,-4]=>[5]=>0
[2,3,5,6,1,-4]=>[2]=>0
[2,3,5,1,6,-4]=>[6]=>0
[2,3,1,5,6,-4]=>[3]=>0
[4,5,6,2,1,-3]=>[2]=>0
[4,5,2,1,6,-3]=>[4]=>0
[4,2,5,1,6,-3]=>[3]=>0
[4,2,1,5,6,-3]=>[5]=>0
[2,4,5,6,1,-3]=>[6]=>0
[2,4,5,1,6,-3]=>[3]=>0
[2,4,1,5,6,-3]=>[6]=>0
[-6,2,4,-5,-3,1]=>[2]=>0
[-6,-5,2,3,-4,1]=>[2]=>0
[2,-5,6,-4,1,3]=>[3,1]=>0
[3,-5,6,-4,1,2]=>[5,1]=>0
[-6,-5,-4,3,1,2]=>[2]=>0
[-8,2,4,-6,-5,-3,1,7]=>[3,1]=>0
[-8,-7,2,4,-5,-3,1,6]=>[6,1]=>0
[8,2,4,6,-7,-5,-3,1]=>[5]=>0
[6,8,2,3,-7,-5,-4,1]=>[8]=>0
[-8,-6,2,3,-5,-4,1,7]=>[3,1]=>0
[2,-6,8,-5,-4,1,3,7]=>[3]=>0
[4,8,-6,-5,-2,1,3,7]=>[8]=>0
[8,4,-6,-5,-3,1,2,7]=>[8]=>0
[3,-6,8,-5,-4,1,2,7]=>[6]=>0
[-8,-6,-3,2,-5,-4,1,7]=>[3,1,1]=>0
[5,8,-7,-3,2,-6,-4,1]=>[3,1]=>0
[3,8,-7,-4,2,-6,1,5]=>[3,1,1]=>0
[4,8,-7,-6,3,1,2,5]=>[5,3]=>0
[5,-7,-4,3,8,1,2,6]=>[2,2]=>0
[5,-8,-7,3,-4,1,2,6]=>[8]=>0
[4,-7,8,-5,-3,1,2,6]=>[2]=>0
[-5,4,8,-7,-2,1,3,6]=>[8]=>0
[-8,4,6,-7,-5,-2,1,3]=>[7,1]=>0
[4,-8,6,-7,-5,-3,1,2]=>[3,2,2,1]=>0
[-8,6,3,-7,-5,-4,1,2]=>[6,1]=>0
[3,8,-7,6,-5,-4,1,2]=>[3,2,1]=>0
[3,8,-7,-6,5,-4,1,2]=>[3]=>0
[3,8,-7,-6,2,5,-4,1]=>[8]=>0
[4,7,8,-6,-3,2,-5,1]=>[8]=>0
[3,6,7,8,4,-5,1,2]=>[5]=>0
[-8,-7,2,4,-6,1,3,5]=>[3]=>0
[-8,-7,-4,-3,-6,1,2,5]=>[2]=>0
[-4,3,-7,8,-6,1,2,5]=>[3]=>0
[6,7,8,1,3,-5,2,4]=>[6]=>0
[-3,7,8,-6,2,-5,1,4]=>[8]=>0
[3,7,8,-6,2,4,-5,1]=>[3,2]=>0
[6,7,8,2,3,4,-5,1]=>[8]=>0
[6,7,8,-5,2,1,3,4]=>[6]=>0
[5,-8,-7,2,-4,1,3,6]=>[2]=>0
[-4,2,-7,8,-6,1,3,5]=>[2]=>0
[7,8,-4,2,3,-6,1,5]=>[5,1]=>0
[-8,-7,-3,2,4,-6,1,5]=>[1,1]=>1
[3,-8,-7,2,-6,1,4,5]=>[8]=>0
[-7,-3,2,8,-5,1,4,6]=>[5,2,1]=>0
[2,4,7,8,-3,1,5,6]=>[3]=>0
[6,8,-7,-4,-2,1,3,5]=>[3,2,1]=>0
[-8,2,6,-7,-4,-3,1,5]=>[5,2]=>0
[-8,-3,2,6,-7,-5,1,4]=>[6,2]=>0
[-8,-7,-3,2,5,-6,1,4]=>[1,1]=>1
[5,-8,-7,2,4,-6,-3,1]=>[5,1]=>0
[7,8,-6,2,3,5,-4,1]=>[5,3]=>0
[6,7,8,2,5,-4,1,3]=>[5]=>0
[-8,6,2,-7,-5,-4,1,3]=>[7,1]=>0
[-8,-6,-3,-7,-5,1,2,4]=>[6,1,1]=>0
[-8,-7,2,5,-6,1,3,4]=>[3]=>0
[-8,-7,-5,-3,-6,1,2,4]=>[2]=>0
[6,7,8,5,-4,1,2,3]=>[2]=>0
[6,7,8,1,4,-5,2,3]=>[4]=>0
[-4,7,8,-6,2,-5,1,3]=>[6]=>0
[4,7,8,-6,2,3,-5,1]=>[5,3]=>0
[4,6,7,8,2,3,-5,1]=>[5]=>0
[-4,7,8,-6,1,-5,2,3]=>[4]=>0
[7,8,-6,-4,5,1,2,3]=>[6,1]=>0
[8,-7,-6,3,5,1,2,4]=>[5,2]=>0
[-8,-7,-5,4,-6,-2,1,3]=>[7]=>0
[5,8,-7,4,-6,-3,1,2]=>[5]=>0
[6,7,8,3,5,-4,1,2]=>[7]=>0
[-4,7,8,-6,3,-5,1,2]=>[8]=>0
[6,5,3,4,2,-1]=>[2]=>0
[6,4,3,5,2,-1]=>[2]=>0
[6,3,4,5,2,-1]=>[2]=>0
[6,3,4,2,5,-1]=>[2]=>0
[5,3,4,2,6,-1]=>[3]=>0
[2,6,4,5,3,-1]=>[3]=>0
[6,2,4,5,3,-1]=>[2]=>0
[6,3,5,4,2,-1]=>[2]=>0
[1,2,-6,5,3,4]=>[4]=>0
[-6,1,2,5,3,4]=>[6]=>0
[6,1,-4,2,-5,3]=>[5,1]=>0
[-6,1,4,5,2,3]=>[6]=>0
[-2,1,-6,5,3,4]=>[4,2]=>0
[-6,3,1,2,-5,4]=>[5,1]=>0
[-4,6,1,2,-5,3]=>[5,1]=>0
[6,-3,1,-4,2,5]=>[5,1]=>0
[-5,-3,1,6,-4,2]=>[6]=>0
[-6,-2,4,1,3,5]=>[5,1]=>0
[-6,-2,1,5,3,4]=>[5,1]=>0
[6,-2,-4,1,-5,3]=>[4,1,1]=>0
[4,6,-3,1,-5,2]=>[1,1]=>1
[3,-2,-6,5,1,4]=>[5,1]=>0
[-6,-2,4,5,1,3]=>[5,1]=>0
[1,2,3,-7,6,4,5]=>[4]=>0
[1,6,2,3,7,-5,4]=>[6]=>0
[7,1,2,-4,3,-6,5]=>[1,1]=>1
[1,-7,2,5,3,4,6]=>[6]=>0
[1,-7,2,3,6,4,5]=>[6]=>0
[1,7,2,-5,3,-6,4]=>[5,1]=>0
[1,-7,2,5,6,3,4]=>[6]=>0
[5,1,2,6,7,-4,3]=>[2]=>0
[1,-3,7,2,4,5,6]=>[6]=>0
[7,1,-3,2,4,-6,5]=>[1,1]=>1
[7,1,-3,2,-5,4,6]=>[1,1]=>1
[1,6,-3,-7,2,4,5]=>[5,1]=>0
[1,-7,4,2,3,-6,5]=>[5,1]=>0
[1,-5,7,2,3,-6,4]=>[5,1]=>0
[1,7,-4,2,-5,3,6]=>[5,1]=>0
[5,6,1,-7,2,3,4]=>[2]=>0
[-4,1,-3,2,7,5,6]=>[3,1]=>0
[1,-7,6,-3,2,4,5]=>[3,3]=>0
[-7,1,-3,-5,2,-6,4]=>[1,1]=>1
[-6,-7,1,2,5,3,4]=>[3,3]=>0
[1,5,7,-4,2,-6,3]=>[1,1]=>1
[-4,1,7,5,6,2,3]=>[5]=>0
[-2,1,3,4,7,5,6]=>[2]=>0
[-2,1,7,3,4,-6,5]=>[2,1]=>0
[-2,1,7,3,-5,4,6]=>[2,1]=>0
[-2,1,3,-7,6,4,5]=>[4,2]=>0
[-2,1,7,-4,3,5,6]=>[2,1]=>0
[7,-2,1,-4,3,-6,5]=>[1,1,1]=>1
[5,-2,1,-4,7,3,6]=>[1,1]=>1
[-2,6,1,-7,-4,3,5]=>[4]=>0
[5,-2,1,6,7,-4,3]=>[2,1]=>0
[1,6,7,2,3,-5,4]=>[6]=>0
[-4,1,7,2,-5,3,6]=>[3,1]=>0
[4,1,6,-7,2,3,5]=>[5]=>0
[1,7,2,-5,6,3,4]=>[6]=>0
[-3,7,1,-4,2,5,6]=>[2,1]=>0
[-7,-3,1,-4,2,-6,5]=>[1,1]=>1
[7,5,1,-3,2,4,6]=>[5]=>0
[7,1,6,-3,2,4,5]=>[3]=>0
[-7,-5,1,-3,2,-6,4]=>[2,1]=>0
[7,5,-4,1,2,3,6]=>[5]=>0
[7,-4,6,1,2,3,5]=>[5]=>0
[-6,1,7,2,5,3,4]=>[6]=>0
[-7,-5,1,-6,2,-4,3]=>[3,2]=>0
[6,-3,1,-7,-4,2,5]=>[4]=>0
[7,5,1,-3,6,2,4]=>[4]=>0
[7,5,-4,1,6,2,3]=>[4]=>0
[-5,-3,1,6,7,-4,2]=>[2]=>0
[3,-2,7,1,4,-6,5]=>[1,1]=>1
[3,-2,7,1,-5,4,6]=>[1,1]=>1
[3,-2,1,-7,6,4,5]=>[4,1]=>0
[-2,1,3,6,7,4,5]=>[2]=>0
[-4,6,-2,-7,1,3,5]=>[3]=>0
[5,6,-2,-7,1,3,4]=>[3,2]=>0
[-4,-5,7,1,2,-6,3]=>[2,2,1]=>0
[4,-3,7,1,-5,2,6]=>[4,1]=>0
[-3,5,1,-7,6,2,4]=>[2,2]=>0
[-4,-7,6,-5,1,2,3]=>[4]=>0
[4,6,-3,1,7,-5,2]=>[4,1]=>0
[3,4,-2,1,7,5,6]=>[4]=>0
[3,4,7,-2,1,-6,5]=>[2,1]=>0
[-6,-7,-2,1,5,3,4]=>[6]=>0
[-2,5,7,-4,1,-6,3]=>[3,1,1]=>0
[3,-7,6,1,5,2,4]=>[6]=>0
[3,4,5,-2,7,1,6]=>[2]=>0
[-7,2,4,5,6,1,3]=>[6]=>0
[3,4,5,6,7,-2,1]=>[3]=>0
[4,-6,-3,2,-5,1]=>[4,1,1]=>0
[3,-5,-4,2,-6,1]=>[6]=>0
[-5,-4,-3,2,-6,1]=>[2,1]=>0
[-4,-3,2,6,-5,1]=>[3,2,1]=>0
[6,-4,2,3,-5,1]=>[3,1]=>0
[-3,-5,2,4,-6,1]=>[5]=>0
[3,-6,2,4,-5,1]=>[4,1]=>0
[-4,-3,2,5,-6,1]=>[2]=>0
[-4,-3,2,-6,-5,1]=>[2,1]=>0
[4,2,3,-6,-5,1]=>[3,1]=>0
[-6,2,3,-5,-4,1]=>[2]=>0
[2,3,4,-6,-5,1]=>[5,1]=>0
[2,3,-6,-5,-4,1]=>[4]=>0
[-5,-4,3,6,1,2]=>[3,2]=>0
[-3,-6,2,-5,1,4]=>[6]=>0
[4,-3,2,-6,1,5]=>[4,2]=>0
[-4,-3,2,-5,1,6]=>[2]=>0
[2,5,3,-6,1,4]=>[2]=>0
[4,2,3,-5,1,6]=>[3]=>0
[-5,2,3,-4,1,6]=>[2,1]=>0
[3,2,4,-6,1,5]=>[5]=>0
[2,3,4,-5,1,6]=>[5]=>0
[2,3,-5,-4,1,6]=>[4,1]=>0
[-4,-6,1,-5,2,3]=>[6]=>0
[6,-5,2,1,3,4]=>[3]=>0
[5,2,-4,1,3,6]=>[4]=>0
[4,5,-6,1,2,3]=>[2]=>0
[3,4,-5,1,2,6]=>[5]=>0
[3,4,5,-6,1,2]=>[3]=>0
[-5,3,4,-6,1,2]=>[4,2]=>0
[-5,-4,3,-6,1,2]=>[2]=>0
[4,5,-6,-2,1,3]=>[4,2]=>0
[4,5,-6,-3,-2,1]=>[2]=>0
[3,4,-5,-2,1,6]=>[3,2]=>0
[3,4,-6,-5,-2,1]=>[3]=>0
[-5,3,4,-6,-2,1]=>[6]=>0
[-4,3,5,-6,-2,1]=>[3]=>0
[2,4,5,-6,-3,1]=>[4,2]=>0
[2,3,-6,-4,1,5]=>[5,1]=>0
[-5,-4,2,3,-6,1]=>[3]=>0
[2,-4,-3,1,-6,5]=>[3,2,1]=>0
[-5,2,-3,6,1,4]=>[2,1]=>0
[2,-6,4,-3,-5,1]=>[3,2,1]=>0
[-2,1,4,-6,-5,3]=>[3,2,1]=>0
[4,-6,1,-3,-5,2]=>[3,2,1]=>0
[5,6,3,1,-4,2]=>[3]=>0
[-2,1,-4,3,-6,5,-8,7]=>[2,2,2,2]=>0
[3,4,1,2,-6,5,-8,7]=>[2,2]=>0
[2,-4,-3,1,-6,5,-8,7]=>[3,2,2,1]=>0
[-5,2,-3,6,1,4,-8,7]=>[2,2,1]=>0
[2,-6,4,-3,-5,1,-8,7]=>[3,2,2,1]=>0
[-7,2,4,-3,-5,8,1,6]=>[2,2,1]=>0
[2,-8,4,-3,6,-5,-7,1]=>[3,2,2,1]=>0
[5,8,2,3,6,-4,-7,1]=>[7,1]=>0
[5,2,7,3,-4,8,1,6]=>[5]=>0
[5,6,2,3,-4,1,-8,7]=>[6,2]=>0
[2,-5,-4,6,1,3,-8,7]=>[3,3,2]=>0
[1,4,5,6,2,3,-8,7]=>[2]=>0
[5,6,1,-3,2,4,-8,7]=>[6,2]=>0
[-2,-5,1,6,3,4,-8,7]=>[2]=>0
[-2,1,4,-6,-5,3,-8,7]=>[3,2,2,1]=>0
[4,-6,1,-3,-5,2,-8,7]=>[3,2,2,1]=>0
[5,6,3,1,-4,2,-8,7]=>[3,2]=>0
[5,6,-4,3,1,2,-8,7]=>[2,2]=>0
[3,2,-6,-5,-4,1,-8,7]=>[3,2]=>0
[3,-7,2,-5,-4,8,1,6]=>[4]=>0
[3,2,-8,-5,6,-4,-7,1]=>[3,1]=>0
[7,-3,8,-6,2,5,-4,1]=>[8]=>0
[-7,3,8,-6,2,-4,1,5]=>[2]=>0
[-4,6,7,3,1,8,2,5]=>[8]=>0
[-7,3,8,-5,1,-4,2,6]=>[8]=>0
[5,3,7,1,-4,8,2,6]=>[3]=>0
[-2,1,-7,4,-5,8,3,6]=>[2,2,1]=>0
[-2,1,4,-8,6,-5,-7,3]=>[3,2,2,1]=>0
[4,-8,1,-3,6,-5,-7,2]=>[3,2,2,1]=>0
[5,8,3,1,6,-4,-7,2]=>[4,1]=>0
[3,6,-8,-5,1,-4,-7,2]=>[7,1]=>0
[7,-3,8,-6,5,1,-4,2]=>[3]=>0
[7,8,-4,3,-6,5,1,2]=>[2,2]=>0
[3,5,-8,2,-7,-4,-6,1]=>[5,3]=>0
[7,8,3,4,2,-6,-5,1]=>[5,1]=>0
[1,6,7,8,3,4,-5,2]=>[3]=>0
[7,8,3,1,-6,5,-4,2]=>[3,2]=>0
[-2,-7,1,8,4,5,-6,3]=>[8]=>0
[-2,1,4,-7,-6,8,3,5]=>[3,3,2]=>0
[3,-7,8,-6,1,-4,2,5]=>[2]=>0
[3,8,-7,-6,-5,2,1,4]=>[4,3,1]=>0
[7,8,-3,-6,2,4,-5,1]=>[5,2,1]=>0
[5,6,7,8,3,4,-2,1]=>[8]=>0
[-4,6,7,8,1,2,3,5]=>[4]=>0
[1,6,7,-3,2,8,4,5]=>[3]=>0
[-6,-2,1,3,7,8,4,5]=>[7,1]=>0
[-2,-7,1,8,3,-5,4,6]=>[8]=>0
[7,8,1,-3,2,-5,4,6]=>[4,4]=>0
[5,1,7,8,2,-4,3,6]=>[3]=>0
[2,-7,8,-5,1,-4,3,6]=>[8]=>0
[2,-7,8,-6,3,-4,1,5]=>[3]=>0
[7,8,2,3,-6,5,-4,1]=>[6,2]=>0
[-7,2,4,8,-6,-3,1,5]=>[2]=>0
[3,4,1,-7,2,8,5,6]=>[4]=>0
[-2,1,-4,-7,3,8,5,6]=>[2]=>0
[-2,1,-4,3,6,-8,-7,5]=>[3,2,2,1]=>0
[3,4,1,2,6,-8,-7,5]=>[3,1]=>0
[2,-4,-3,1,6,-8,-7,5]=>[3,3,1,1]=>0
[2,-8,6,-3,1,-5,-7,4]=>[7,1]=>0
[-7,2,-3,8,-6,5,1,4]=>[2,2,1]=>0
[2,-8,5,4,-3,-7,-6,1]=>[3,2]=>0
[2,-7,-4,8,-6,5,1,3]=>[3,3,2]=>0
[2,-7,8,-6,5,1,-4,3]=>[5]=>0
[6,2,-8,-5,1,-4,-7,3]=>[2,1]=>0
[5,8,6,1,2,-4,-7,3]=>[7,1]=>0
[6,-8,1,-3,2,-5,-7,4]=>[7,1]=>0
[-2,1,6,-8,3,-5,-7,4]=>[3,2,2,1]=>0
[-2,-7,1,8,5,3,-6,4]=>[5]=>0
[7,8,5,1,-6,2,-4,3]=>[5,3]=>0
[1,6,7,8,4,2,-5,3]=>[5]=>0
[2,8,-7,-6,4,1,-5,3]=>[8]=>0
[2,6,7,-5,8,4,1,3]=>[8]=>0
[7,8,4,2,3,-6,-5,1]=>[7,1]=>0
[7,8,4,-6,2,3,-5,1]=>[5,3]=>0
[2,8,-7,-6,-5,4,1,3]=>[5,2,1]=>0
[7,8,5,-4,-6,1,2,3]=>[7,1]=>0
[7,8,1,-3,-6,5,2,4]=>[6,2]=>0
[-2,-7,1,8,-6,5,3,4]=>[2]=>0
[-2,1,5,4,-8,-7,-6,3]=>[3,2]=>0
[5,-8,1,4,-3,-7,-6,2]=>[3,2]=>0
[5,3,-8,1,-7,-4,-6,2]=>[5,3]=>0
[7,8,4,3,1,-6,-5,2]=>[3,1]=>0
[7,8,4,-6,-5,3,1,2]=>[3,1]=>0
[4,3,2,-8,-7,-6,-5,1]=>[3,1]=>0
[2,-3,-5,-4,-6,1]=>[5,1]=>0
[2,-4,-3,-5,-6,1]=>[5,1]=>0
[-5,2,-3,-4,-6,1]=>[1,1]=>1
[5,2,-4,-3,-6,1]=>[3]=>0
[4,3,-2,-6,-5,1]=>[3,2,1]=>0
[5,3,-2,-4,-6,1]=>[3,2,1]=>0
[6,-2,3,-4,-5,1]=>[1,1,1]=>1
[-2,6,4,-3,-5,1]=>[3,2,1]=>0
[3,6,4,-2,-5,1]=>[5,1]=>0
[2,-4,5,-3,-6,1]=>[6]=>0
[2,-4,-3,6,-5,1]=>[4,1,1]=>0
[5,3,-2,6,-4,1]=>[4,2]=>0
[1,-6,3,-4,-5,2]=>[2,1,1]=>0
[1,6,4,-3,-5,2]=>[2,1]=>0
[1,2,4,-6,-5,3]=>[3,1]=>0
[5,3,-2,-4,1,6]=>[2,1]=>0
[1,3,-5,-4,2,6]=>[3,1]=>0
[-5,4,1,-3,-6,2]=>[6]=>0
[-2,-3,-4,1,-6,5,-8,7]=>[4,2,2]=>0
[-2,-5,-3,6,1,4,-8,7]=>[2,1]=>0
[-2,-5,4,-3,-6,1,-8,7]=>[4,2,2]=>0
[7,5,2,3,6,-4,-8,1]=>[5,3]=>0
[4,5,2,-7,3,8,1,6]=>[3]=>0
[4,5,2,3,-6,1,-8,7]=>[6,2]=>0
[6,-4,-5,2,1,3,-8,7]=>[4,2,2]=>0
[-2,1,-4,-5,-6,3,-8,7]=>[4,2,2]=>0
[-5,4,1,-3,-6,2,-8,7]=>[6,2]=>0
[5,-4,3,1,-6,2,-8,7]=>[2]=>0
[4,-6,-5,3,1,2,-8,7]=>[4,2,2]=>0
[-2,-3,-4,-5,-6,1,-8,7]=>[6,2]=>0
[-2,-3,-4,-7,6,-5,-8,1]=>[6,2]=>0
[-7,-3,-8,-6,2,5,-4,1]=>[8]=>0
[8,-3,-4,-6,-7,2,1,5]=>[4,4]=>0
[-3,8,-7,-4,1,-5,2,6]=>[7,1]=>0
[-5,4,1,-7,-3,8,2,6]=>[3]=>0
[-2,1,-4,-7,-5,8,3,6]=>[2,1]=>0
[-2,1,-4,-7,6,-5,-8,3]=>[4,2,2]=>0
[-5,4,-3,1,6,-7,-8,2]=>[7,1]=>0
[-4,5,3,1,6,-7,-8,2]=>[2]=>0
[6,-3,-7,-4,1,-5,-8,2]=>[4,3,1]=>0
[-6,-8,4,3,-7,5,1,2]=>[2]=>0
[-5,-3,-6,2,-7,-4,-8,1]=>[4,4]=>0
[-5,6,3,4,2,-7,-8,1]=>[6]=>0
[3,7,-5,-8,4,1,-6,2]=>[8]=>0
[5,1,6,7,3,4,-8,2]=>[8]=>0
[7,-6,3,1,-8,5,-4,2]=>[3]=>0
[-6,-3,1,7,4,5,-8,2]=>[8]=>0
[-7,-2,-6,1,4,5,-8,3]=>[7,1]=>0
[-2,-8,1,-6,-7,4,3,5]=>[6,2]=>0
[5,6,3,8,-7,1,2,4]=>[5]=>0
[7,-6,5,8,3,1,2,4]=>[4]=>0
[-8,-3,-5,-6,-7,2,1,4]=>[8]=>0
[-7,3,-5,-8,2,4,-6,1]=>[5,3]=>0
[5,8,6,7,3,4,-2,1]=>[8]=>0
[2,5,6,8,-7,3,1,4]=>[4]=>0
[2,-5,-6,7,1,8,3,4]=>[5,3]=>0
[8,-7,2,-4,1,-5,3,6]=>[4,3,1]=>0
[2,-6,8,3,-7,-4,1,5]=>[8]=>0
[-6,-2,4,8,-7,-3,1,5]=>[7,1]=>0
[-6,-2,-3,1,7,8,4,5]=>[6,1,1]=>0
[-2,-7,-3,8,1,-5,4,6]=>[7,1]=>0
[-2,1,-4,3,-6,-7,-8,5]=>[4,2,2]=>0
[3,4,1,2,-6,-7,-8,5]=>[4]=>0
[-2,-3,-4,1,-6,-7,-8,5]=>[4,4]=>0
[-2,-3,-7,6,1,-5,-8,4]=>[8]=>0
[-2,-6,-3,-8,-7,5,1,4]=>[5,2,1]=>0
[-2,-5,4,-3,-6,-7,-8,1]=>[6,2]=>0
[-6,5,2,3,-4,-7,-8,1]=>[4,4]=>0
[-8,6,-4,2,-7,5,1,3]=>[8]=>0
[7,-8,-4,2,5,1,-6,3]=>[3]=>0
[6,2,-7,-4,1,-5,-8,3]=>[3,1]=>0
[5,7,1,6,2,-4,-8,3]=>[6,2]=>0
[-7,6,1,-3,2,-5,-8,4]=>[5,3]=>0
[-2,1,-7,6,3,-5,-8,4]=>[6,2]=>0
[7,5,1,-6,-3,2,-8,4]=>[8]=>0
[5,6,7,1,4,2,-8,3]=>[3]=>0
[4,-7,-5,-6,2,1,-8,3]=>[5,3]=>0
[6,4,-5,2,3,-7,-8,1]=>[2]=>0
[5,4,-7,-6,2,3,-8,1]=>[8]=>0
[4,-5,-8,-6,-7,2,1,3]=>[6,2]=>0
[7,8,-6,5,1,4,2,3]=>[8]=>0
[5,8,6,1,-7,4,2,3]=>[8]=>0
[8,1,6,-4,-7,5,2,3]=>[7,1]=>0
[6,5,1,-8,-7,-3,2,4]=>[3,3,2]=>0
[-2,-6,1,-8,-7,5,3,4]=>[6,2]=>0
[-2,1,-4,-5,-6,-7,-8,3]=>[6,2]=>0
[-5,4,1,-3,-6,-7,-8,2]=>[8]=>0
[-5,-6,3,1,-4,-7,-8,2]=>[4]=>0
[4,-6,-5,3,1,-7,-8,2]=>[4,4]=>0
[4,-5,-7,-6,3,1,-8,2]=>[5,3]=>0
[4,-5,-6,-8,-7,3,1,2]=>[6,2]=>0
[-2,-3,-4,-5,-6,-7,-8,1]=>[8]=>0
[-4,-2,5,1,3,6]=>[2,1]=>0
[-5,2,4,1,3,6]=>[4]=>0
[-4,-2,1,6,3,5]=>[5,1]=>0
[-4,3,1,6,2,5]=>[6]=>0
[6,-4,2,5,1,3]=>[6]=>0
[-4,6,3,5,1,2]=>[3]=>0
[2,-5,6,4,1,3]=>[3]=>0
[-2,-3,-4,6,1,5]=>[6]=>0
[-4,-5,-2,6,1,3]=>[6]=>0
[-6,-2,-3,5,1,4]=>[4,1,1]=>0
[-6,-4,-2,5,1,3]=>[6]=>0
[5,-6,2,4,1,3]=>[3]=>0
[2,1,5,3,6,-4]=>[4]=>0
[2,5,1,3,6,-4]=>[6]=>0
[2,5,3,1,6,-4]=>[5]=>0
[2,1,5,6,3,-4]=>[2]=>0
[2,5,1,6,3,-4]=>[2]=>0
[5,2,1,6,3,-4]=>[2]=>0
[2,5,6,1,3,-4]=>[6]=>0
[5,2,6,1,3,-4]=>[5]=>0
[2,5,3,6,1,-4]=>[2]=>0
[2,5,6,3,1,-4]=>[3]=>0
[3,1,6,4,2,-5]=>[5]=>0
[3,6,1,4,2,-5]=>[3]=>0
[6,3,1,4,2,-5]=>[5]=>0
[3,6,4,1,2,-5]=>[3]=>0
[3,2,1,6,4,-5]=>[3]=>0
[3,6,2,1,4,-5]=>[6]=>0
[3,2,6,4,1,-5]=>[4]=>0
[3,6,2,4,1,-5]=>[5]=>0
[3,6,4,2,1,-5]=>[6]=>0
[1,6,4,5,3,-2]=>[2]=>0
[1,3,4,2,6,-5]=>[2]=>0
[2,3,1,6,5,-4]=>[2]=>0
[2,4,3,1,6,-5]=>[2]=>0
                    
search for individual values
searching the database for the individual values of this statistic
Description
The constant term of the character polynomial of an integer partition.
The definition of the character polynomial can be found in [1]. Indeed, this constant term is $0$ for partitions $\lambda \neq 1^n$ and $1$ for $\lambda = 1^n$.
Map
odd cycle type
Description
The partition corresponding to the odd cycles.
A cycle of length $\ell$ of a signed permutation $\pi$ can be written in two line notation as
$$\begin{array}{cccc} a_1 & a_2 & \dots & a_\ell \\ \pi(a_1) & \pi(a_2) & \dots & \pi(a_\ell) \end{array}$$
where $a_i > 0$ for all $i$, $a_{i+1} = |\pi(a_i)|$ for $i < \ell$ and $a_1 = |\pi(a_\ell)|$.
The cycle is odd, if the number of negative elements in the second row is odd.
This map records the integer partition given by the lengths of the odd cycles.
The integer partition of even cycles together with the integer partition of the odd cycles determines the conjugacy class of the signed permutation.