Identifier
Mp00161:
Signed permutations
—reverse⟶
Signed permutations
Mp00245: Signed permutations —standardize⟶ Permutations
Mp00060: Permutations —Robinson-Schensted tableau shape⟶ Integer partitions
Mp00245: Signed permutations —standardize⟶ Permutations
Mp00060: Permutations —Robinson-Schensted tableau shape⟶ Integer partitions
Images
=>
Cc0002;cc-rep-3
[1]=>[1]=>[1]=>[1]
[-1]=>[-1]=>[1]=>[1]
[1,2]=>[2,1]=>[2,1]=>[1,1]
[1,-2]=>[-2,1]=>[2,1]=>[1,1]
[-1,2]=>[2,-1]=>[1,2]=>[2]
[-1,-2]=>[-2,-1]=>[1,2]=>[2]
[2,1]=>[1,2]=>[1,2]=>[2]
[2,-1]=>[-1,2]=>[2,1]=>[1,1]
[-2,1]=>[1,-2]=>[1,2]=>[2]
[-2,-1]=>[-1,-2]=>[2,1]=>[1,1]
[1,2,3]=>[3,2,1]=>[3,2,1]=>[1,1,1]
[1,2,-3]=>[-3,2,1]=>[3,2,1]=>[1,1,1]
[1,-2,3]=>[3,-2,1]=>[2,3,1]=>[2,1]
[1,-2,-3]=>[-3,-2,1]=>[2,3,1]=>[2,1]
[-1,2,3]=>[3,2,-1]=>[2,1,3]=>[2,1]
[-1,2,-3]=>[-3,2,-1]=>[2,1,3]=>[2,1]
[-1,-2,3]=>[3,-2,-1]=>[1,2,3]=>[3]
[-1,-2,-3]=>[-3,-2,-1]=>[1,2,3]=>[3]
[1,3,2]=>[2,3,1]=>[2,3,1]=>[2,1]
[1,3,-2]=>[-2,3,1]=>[3,2,1]=>[1,1,1]
[1,-3,2]=>[2,-3,1]=>[2,3,1]=>[2,1]
[1,-3,-2]=>[-2,-3,1]=>[3,2,1]=>[1,1,1]
[-1,3,2]=>[2,3,-1]=>[1,2,3]=>[3]
[-1,3,-2]=>[-2,3,-1]=>[2,1,3]=>[2,1]
[-1,-3,2]=>[2,-3,-1]=>[1,2,3]=>[3]
[-1,-3,-2]=>[-2,-3,-1]=>[2,1,3]=>[2,1]
[2,1,3]=>[3,1,2]=>[3,1,2]=>[2,1]
[2,1,-3]=>[-3,1,2]=>[3,1,2]=>[2,1]
[2,-1,3]=>[3,-1,2]=>[2,3,1]=>[2,1]
[2,-1,-3]=>[-3,-1,2]=>[2,3,1]=>[2,1]
[-2,1,3]=>[3,1,-2]=>[2,1,3]=>[2,1]
[-2,1,-3]=>[-3,1,-2]=>[2,1,3]=>[2,1]
[-2,-1,3]=>[3,-1,-2]=>[1,3,2]=>[2,1]
[-2,-1,-3]=>[-3,-1,-2]=>[1,3,2]=>[2,1]
[2,3,1]=>[1,3,2]=>[1,3,2]=>[2,1]
[2,3,-1]=>[-1,3,2]=>[3,2,1]=>[1,1,1]
[2,-3,1]=>[1,-3,2]=>[1,3,2]=>[2,1]
[2,-3,-1]=>[-1,-3,2]=>[3,2,1]=>[1,1,1]
[-2,3,1]=>[1,3,-2]=>[1,2,3]=>[3]
[-2,3,-1]=>[-1,3,-2]=>[3,1,2]=>[2,1]
[-2,-3,1]=>[1,-3,-2]=>[1,2,3]=>[3]
[-2,-3,-1]=>[-1,-3,-2]=>[3,1,2]=>[2,1]
[3,1,2]=>[2,1,3]=>[2,1,3]=>[2,1]
[3,1,-2]=>[-2,1,3]=>[3,1,2]=>[2,1]
[3,-1,2]=>[2,-1,3]=>[1,3,2]=>[2,1]
[3,-1,-2]=>[-2,-1,3]=>[2,3,1]=>[2,1]
[-3,1,2]=>[2,1,-3]=>[2,1,3]=>[2,1]
[-3,1,-2]=>[-2,1,-3]=>[3,1,2]=>[2,1]
[-3,-1,2]=>[2,-1,-3]=>[1,3,2]=>[2,1]
[-3,-1,-2]=>[-2,-1,-3]=>[2,3,1]=>[2,1]
[3,2,1]=>[1,2,3]=>[1,2,3]=>[3]
[3,2,-1]=>[-1,2,3]=>[3,1,2]=>[2,1]
[3,-2,1]=>[1,-2,3]=>[1,3,2]=>[2,1]
[3,-2,-1]=>[-1,-2,3]=>[3,2,1]=>[1,1,1]
[-3,2,1]=>[1,2,-3]=>[1,2,3]=>[3]
[-3,2,-1]=>[-1,2,-3]=>[3,1,2]=>[2,1]
[-3,-2,1]=>[1,-2,-3]=>[1,3,2]=>[2,1]
[-3,-2,-1]=>[-1,-2,-3]=>[3,2,1]=>[1,1,1]
[1,2,3,4]=>[4,3,2,1]=>[4,3,2,1]=>[1,1,1,1]
[1,2,3,-4]=>[-4,3,2,1]=>[4,3,2,1]=>[1,1,1,1]
[1,2,-3,4]=>[4,-3,2,1]=>[3,4,2,1]=>[2,1,1]
[1,2,-3,-4]=>[-4,-3,2,1]=>[3,4,2,1]=>[2,1,1]
[1,-2,3,4]=>[4,3,-2,1]=>[3,2,4,1]=>[2,1,1]
[1,-2,3,-4]=>[-4,3,-2,1]=>[3,2,4,1]=>[2,1,1]
[1,-2,-3,4]=>[4,-3,-2,1]=>[2,3,4,1]=>[3,1]
[1,-2,-3,-4]=>[-4,-3,-2,1]=>[2,3,4,1]=>[3,1]
[-1,2,3,4]=>[4,3,2,-1]=>[3,2,1,4]=>[2,1,1]
[-1,2,3,-4]=>[-4,3,2,-1]=>[3,2,1,4]=>[2,1,1]
[-1,2,-3,4]=>[4,-3,2,-1]=>[2,3,1,4]=>[3,1]
[-1,2,-3,-4]=>[-4,-3,2,-1]=>[2,3,1,4]=>[3,1]
[-1,-2,3,4]=>[4,3,-2,-1]=>[2,1,3,4]=>[3,1]
[-1,-2,3,-4]=>[-4,3,-2,-1]=>[2,1,3,4]=>[3,1]
[-1,-2,-3,4]=>[4,-3,-2,-1]=>[1,2,3,4]=>[4]
[-1,-2,-3,-4]=>[-4,-3,-2,-1]=>[1,2,3,4]=>[4]
[1,2,4,3]=>[3,4,2,1]=>[3,4,2,1]=>[2,1,1]
[1,2,4,-3]=>[-3,4,2,1]=>[4,3,2,1]=>[1,1,1,1]
[1,2,-4,3]=>[3,-4,2,1]=>[3,4,2,1]=>[2,1,1]
[1,2,-4,-3]=>[-3,-4,2,1]=>[4,3,2,1]=>[1,1,1,1]
[1,-2,4,3]=>[3,4,-2,1]=>[2,3,4,1]=>[3,1]
[1,-2,4,-3]=>[-3,4,-2,1]=>[3,2,4,1]=>[2,1,1]
[1,-2,-4,3]=>[3,-4,-2,1]=>[2,3,4,1]=>[3,1]
[1,-2,-4,-3]=>[-3,-4,-2,1]=>[3,2,4,1]=>[2,1,1]
[-1,2,4,3]=>[3,4,2,-1]=>[2,3,1,4]=>[3,1]
[-1,2,4,-3]=>[-3,4,2,-1]=>[3,2,1,4]=>[2,1,1]
[-1,2,-4,3]=>[3,-4,2,-1]=>[2,3,1,4]=>[3,1]
[-1,2,-4,-3]=>[-3,-4,2,-1]=>[3,2,1,4]=>[2,1,1]
[-1,-2,4,3]=>[3,4,-2,-1]=>[1,2,3,4]=>[4]
[-1,-2,4,-3]=>[-3,4,-2,-1]=>[2,1,3,4]=>[3,1]
[-1,-2,-4,3]=>[3,-4,-2,-1]=>[1,2,3,4]=>[4]
[-1,-2,-4,-3]=>[-3,-4,-2,-1]=>[2,1,3,4]=>[3,1]
[1,3,2,4]=>[4,2,3,1]=>[4,2,3,1]=>[2,1,1]
[1,3,2,-4]=>[-4,2,3,1]=>[4,2,3,1]=>[2,1,1]
[1,3,-2,4]=>[4,-2,3,1]=>[3,4,2,1]=>[2,1,1]
[1,3,-2,-4]=>[-4,-2,3,1]=>[3,4,2,1]=>[2,1,1]
[1,-3,2,4]=>[4,2,-3,1]=>[3,2,4,1]=>[2,1,1]
[1,-3,2,-4]=>[-4,2,-3,1]=>[3,2,4,1]=>[2,1,1]
[1,-3,-2,4]=>[4,-2,-3,1]=>[2,4,3,1]=>[2,1,1]
[1,-3,-2,-4]=>[-4,-2,-3,1]=>[2,4,3,1]=>[2,1,1]
[-1,3,2,4]=>[4,2,3,-1]=>[3,1,2,4]=>[3,1]
[-1,3,2,-4]=>[-4,2,3,-1]=>[3,1,2,4]=>[3,1]
[-1,3,-2,4]=>[4,-2,3,-1]=>[2,3,1,4]=>[3,1]
[-1,3,-2,-4]=>[-4,-2,3,-1]=>[2,3,1,4]=>[3,1]
[-1,-3,2,4]=>[4,2,-3,-1]=>[2,1,3,4]=>[3,1]
[-1,-3,2,-4]=>[-4,2,-3,-1]=>[2,1,3,4]=>[3,1]
[-1,-3,-2,4]=>[4,-2,-3,-1]=>[1,3,2,4]=>[3,1]
[-1,-3,-2,-4]=>[-4,-2,-3,-1]=>[1,3,2,4]=>[3,1]
[1,3,4,2]=>[2,4,3,1]=>[2,4,3,1]=>[2,1,1]
[1,3,4,-2]=>[-2,4,3,1]=>[4,3,2,1]=>[1,1,1,1]
[1,3,-4,2]=>[2,-4,3,1]=>[2,4,3,1]=>[2,1,1]
[1,3,-4,-2]=>[-2,-4,3,1]=>[4,3,2,1]=>[1,1,1,1]
[1,-3,4,2]=>[2,4,-3,1]=>[2,3,4,1]=>[3,1]
[1,-3,4,-2]=>[-2,4,-3,1]=>[4,2,3,1]=>[2,1,1]
[1,-3,-4,2]=>[2,-4,-3,1]=>[2,3,4,1]=>[3,1]
[1,-3,-4,-2]=>[-2,-4,-3,1]=>[4,2,3,1]=>[2,1,1]
[-1,3,4,2]=>[2,4,3,-1]=>[1,3,2,4]=>[3,1]
[-1,3,4,-2]=>[-2,4,3,-1]=>[3,2,1,4]=>[2,1,1]
[-1,3,-4,2]=>[2,-4,3,-1]=>[1,3,2,4]=>[3,1]
[-1,3,-4,-2]=>[-2,-4,3,-1]=>[3,2,1,4]=>[2,1,1]
[-1,-3,4,2]=>[2,4,-3,-1]=>[1,2,3,4]=>[4]
[-1,-3,4,-2]=>[-2,4,-3,-1]=>[3,1,2,4]=>[3,1]
[-1,-3,-4,2]=>[2,-4,-3,-1]=>[1,2,3,4]=>[4]
[-1,-3,-4,-2]=>[-2,-4,-3,-1]=>[3,1,2,4]=>[3,1]
[1,4,2,3]=>[3,2,4,1]=>[3,2,4,1]=>[2,1,1]
[1,4,2,-3]=>[-3,2,4,1]=>[4,2,3,1]=>[2,1,1]
[1,4,-2,3]=>[3,-2,4,1]=>[2,4,3,1]=>[2,1,1]
[1,4,-2,-3]=>[-3,-2,4,1]=>[3,4,2,1]=>[2,1,1]
[1,-4,2,3]=>[3,2,-4,1]=>[3,2,4,1]=>[2,1,1]
[1,-4,2,-3]=>[-3,2,-4,1]=>[4,2,3,1]=>[2,1,1]
[1,-4,-2,3]=>[3,-2,-4,1]=>[2,4,3,1]=>[2,1,1]
[1,-4,-2,-3]=>[-3,-2,-4,1]=>[3,4,2,1]=>[2,1,1]
[-1,4,2,3]=>[3,2,4,-1]=>[2,1,3,4]=>[3,1]
[-1,4,2,-3]=>[-3,2,4,-1]=>[3,1,2,4]=>[3,1]
[-1,4,-2,3]=>[3,-2,4,-1]=>[1,3,2,4]=>[3,1]
[-1,4,-2,-3]=>[-3,-2,4,-1]=>[2,3,1,4]=>[3,1]
[-1,-4,2,3]=>[3,2,-4,-1]=>[2,1,3,4]=>[3,1]
[-1,-4,2,-3]=>[-3,2,-4,-1]=>[3,1,2,4]=>[3,1]
[-1,-4,-2,3]=>[3,-2,-4,-1]=>[1,3,2,4]=>[3,1]
[-1,-4,-2,-3]=>[-3,-2,-4,-1]=>[2,3,1,4]=>[3,1]
[1,4,3,2]=>[2,3,4,1]=>[2,3,4,1]=>[3,1]
[1,4,3,-2]=>[-2,3,4,1]=>[4,2,3,1]=>[2,1,1]
[1,4,-3,2]=>[2,-3,4,1]=>[2,4,3,1]=>[2,1,1]
[1,4,-3,-2]=>[-2,-3,4,1]=>[4,3,2,1]=>[1,1,1,1]
[1,-4,3,2]=>[2,3,-4,1]=>[2,3,4,1]=>[3,1]
[1,-4,3,-2]=>[-2,3,-4,1]=>[4,2,3,1]=>[2,1,1]
[1,-4,-3,2]=>[2,-3,-4,1]=>[2,4,3,1]=>[2,1,1]
[1,-4,-3,-2]=>[-2,-3,-4,1]=>[4,3,2,1]=>[1,1,1,1]
[-1,4,3,2]=>[2,3,4,-1]=>[1,2,3,4]=>[4]
[-1,4,3,-2]=>[-2,3,4,-1]=>[3,1,2,4]=>[3,1]
[-1,4,-3,2]=>[2,-3,4,-1]=>[1,3,2,4]=>[3,1]
[-1,4,-3,-2]=>[-2,-3,4,-1]=>[3,2,1,4]=>[2,1,1]
[-1,-4,3,2]=>[2,3,-4,-1]=>[1,2,3,4]=>[4]
[-1,-4,3,-2]=>[-2,3,-4,-1]=>[3,1,2,4]=>[3,1]
[-1,-4,-3,2]=>[2,-3,-4,-1]=>[1,3,2,4]=>[3,1]
[-1,-4,-3,-2]=>[-2,-3,-4,-1]=>[3,2,1,4]=>[2,1,1]
[2,1,3,4]=>[4,3,1,2]=>[4,3,1,2]=>[2,1,1]
[2,1,3,-4]=>[-4,3,1,2]=>[4,3,1,2]=>[2,1,1]
[2,1,-3,4]=>[4,-3,1,2]=>[3,4,1,2]=>[2,2]
[2,1,-3,-4]=>[-4,-3,1,2]=>[3,4,1,2]=>[2,2]
[2,-1,3,4]=>[4,3,-1,2]=>[3,2,4,1]=>[2,1,1]
[2,-1,3,-4]=>[-4,3,-1,2]=>[3,2,4,1]=>[2,1,1]
[2,-1,-3,4]=>[4,-3,-1,2]=>[2,3,4,1]=>[3,1]
[2,-1,-3,-4]=>[-4,-3,-1,2]=>[2,3,4,1]=>[3,1]
[-2,1,3,4]=>[4,3,1,-2]=>[3,2,1,4]=>[2,1,1]
[-2,1,3,-4]=>[-4,3,1,-2]=>[3,2,1,4]=>[2,1,1]
[-2,1,-3,4]=>[4,-3,1,-2]=>[2,3,1,4]=>[3,1]
[-2,1,-3,-4]=>[-4,-3,1,-2]=>[2,3,1,4]=>[3,1]
[-2,-1,3,4]=>[4,3,-1,-2]=>[2,1,4,3]=>[2,2]
[-2,-1,3,-4]=>[-4,3,-1,-2]=>[2,1,4,3]=>[2,2]
[-2,-1,-3,4]=>[4,-3,-1,-2]=>[1,2,4,3]=>[3,1]
[-2,-1,-3,-4]=>[-4,-3,-1,-2]=>[1,2,4,3]=>[3,1]
[2,1,4,3]=>[3,4,1,2]=>[3,4,1,2]=>[2,2]
[2,1,4,-3]=>[-3,4,1,2]=>[4,3,1,2]=>[2,1,1]
[2,1,-4,3]=>[3,-4,1,2]=>[3,4,1,2]=>[2,2]
[2,1,-4,-3]=>[-3,-4,1,2]=>[4,3,1,2]=>[2,1,1]
[2,-1,4,3]=>[3,4,-1,2]=>[2,3,4,1]=>[3,1]
[2,-1,4,-3]=>[-3,4,-1,2]=>[3,2,4,1]=>[2,1,1]
[2,-1,-4,3]=>[3,-4,-1,2]=>[2,3,4,1]=>[3,1]
[2,-1,-4,-3]=>[-3,-4,-1,2]=>[3,2,4,1]=>[2,1,1]
[-2,1,4,3]=>[3,4,1,-2]=>[2,3,1,4]=>[3,1]
[-2,1,4,-3]=>[-3,4,1,-2]=>[3,2,1,4]=>[2,1,1]
[-2,1,-4,3]=>[3,-4,1,-2]=>[2,3,1,4]=>[3,1]
[-2,1,-4,-3]=>[-3,-4,1,-2]=>[3,2,1,4]=>[2,1,1]
[-2,-1,4,3]=>[3,4,-1,-2]=>[1,2,4,3]=>[3,1]
[-2,-1,4,-3]=>[-3,4,-1,-2]=>[2,1,4,3]=>[2,2]
[-2,-1,-4,3]=>[3,-4,-1,-2]=>[1,2,4,3]=>[3,1]
[-2,-1,-4,-3]=>[-3,-4,-1,-2]=>[2,1,4,3]=>[2,2]
[2,3,1,4]=>[4,1,3,2]=>[4,1,3,2]=>[2,1,1]
[2,3,1,-4]=>[-4,1,3,2]=>[4,1,3,2]=>[2,1,1]
[2,3,-1,4]=>[4,-1,3,2]=>[3,4,2,1]=>[2,1,1]
[2,3,-1,-4]=>[-4,-1,3,2]=>[3,4,2,1]=>[2,1,1]
[2,-3,1,4]=>[4,1,-3,2]=>[3,1,4,2]=>[2,2]
[2,-3,1,-4]=>[-4,1,-3,2]=>[3,1,4,2]=>[2,2]
[2,-3,-1,4]=>[4,-1,-3,2]=>[2,4,3,1]=>[2,1,1]
[2,-3,-1,-4]=>[-4,-1,-3,2]=>[2,4,3,1]=>[2,1,1]
[-2,3,1,4]=>[4,1,3,-2]=>[3,1,2,4]=>[3,1]
[-2,3,1,-4]=>[-4,1,3,-2]=>[3,1,2,4]=>[3,1]
[-2,3,-1,4]=>[4,-1,3,-2]=>[2,4,1,3]=>[2,2]
[-2,3,-1,-4]=>[-4,-1,3,-2]=>[2,4,1,3]=>[2,2]
[-2,-3,1,4]=>[4,1,-3,-2]=>[2,1,3,4]=>[3,1]
[-2,-3,1,-4]=>[-4,1,-3,-2]=>[2,1,3,4]=>[3,1]
[-2,-3,-1,4]=>[4,-1,-3,-2]=>[1,4,2,3]=>[3,1]
[-2,-3,-1,-4]=>[-4,-1,-3,-2]=>[1,4,2,3]=>[3,1]
[2,3,4,1]=>[1,4,3,2]=>[1,4,3,2]=>[2,1,1]
[2,3,4,-1]=>[-1,4,3,2]=>[4,3,2,1]=>[1,1,1,1]
[2,3,-4,1]=>[1,-4,3,2]=>[1,4,3,2]=>[2,1,1]
[2,3,-4,-1]=>[-1,-4,3,2]=>[4,3,2,1]=>[1,1,1,1]
[2,-3,4,1]=>[1,4,-3,2]=>[1,3,4,2]=>[3,1]
[2,-3,4,-1]=>[-1,4,-3,2]=>[4,2,3,1]=>[2,1,1]
[2,-3,-4,1]=>[1,-4,-3,2]=>[1,3,4,2]=>[3,1]
[2,-3,-4,-1]=>[-1,-4,-3,2]=>[4,2,3,1]=>[2,1,1]
[-2,3,4,1]=>[1,4,3,-2]=>[1,3,2,4]=>[3,1]
[-2,3,4,-1]=>[-1,4,3,-2]=>[4,2,1,3]=>[2,1,1]
[-2,3,-4,1]=>[1,-4,3,-2]=>[1,3,2,4]=>[3,1]
[-2,3,-4,-1]=>[-1,-4,3,-2]=>[4,2,1,3]=>[2,1,1]
[-2,-3,4,1]=>[1,4,-3,-2]=>[1,2,3,4]=>[4]
[-2,-3,4,-1]=>[-1,4,-3,-2]=>[4,1,2,3]=>[3,1]
[-2,-3,-4,1]=>[1,-4,-3,-2]=>[1,2,3,4]=>[4]
[-2,-3,-4,-1]=>[-1,-4,-3,-2]=>[4,1,2,3]=>[3,1]
[2,4,1,3]=>[3,1,4,2]=>[3,1,4,2]=>[2,2]
[2,4,1,-3]=>[-3,1,4,2]=>[4,1,3,2]=>[2,1,1]
[2,4,-1,3]=>[3,-1,4,2]=>[2,4,3,1]=>[2,1,1]
[2,4,-1,-3]=>[-3,-1,4,2]=>[3,4,2,1]=>[2,1,1]
[2,-4,1,3]=>[3,1,-4,2]=>[3,1,4,2]=>[2,2]
[2,-4,1,-3]=>[-3,1,-4,2]=>[4,1,3,2]=>[2,1,1]
[2,-4,-1,3]=>[3,-1,-4,2]=>[2,4,3,1]=>[2,1,1]
[2,-4,-1,-3]=>[-3,-1,-4,2]=>[3,4,2,1]=>[2,1,1]
[-2,4,1,3]=>[3,1,4,-2]=>[2,1,3,4]=>[3,1]
[-2,4,1,-3]=>[-3,1,4,-2]=>[3,1,2,4]=>[3,1]
[-2,4,-1,3]=>[3,-1,4,-2]=>[1,4,2,3]=>[3,1]
[-2,4,-1,-3]=>[-3,-1,4,-2]=>[2,4,1,3]=>[2,2]
[-2,-4,1,3]=>[3,1,-4,-2]=>[2,1,3,4]=>[3,1]
[-2,-4,1,-3]=>[-3,1,-4,-2]=>[3,1,2,4]=>[3,1]
[-2,-4,-1,3]=>[3,-1,-4,-2]=>[1,4,2,3]=>[3,1]
[-2,-4,-1,-3]=>[-3,-1,-4,-2]=>[2,4,1,3]=>[2,2]
[2,4,3,1]=>[1,3,4,2]=>[1,3,4,2]=>[3,1]
[2,4,3,-1]=>[-1,3,4,2]=>[4,2,3,1]=>[2,1,1]
[2,4,-3,1]=>[1,-3,4,2]=>[1,4,3,2]=>[2,1,1]
[2,4,-3,-1]=>[-1,-3,4,2]=>[4,3,2,1]=>[1,1,1,1]
[2,-4,3,1]=>[1,3,-4,2]=>[1,3,4,2]=>[3,1]
[2,-4,3,-1]=>[-1,3,-4,2]=>[4,2,3,1]=>[2,1,1]
[2,-4,-3,1]=>[1,-3,-4,2]=>[1,4,3,2]=>[2,1,1]
[2,-4,-3,-1]=>[-1,-3,-4,2]=>[4,3,2,1]=>[1,1,1,1]
[-2,4,3,1]=>[1,3,4,-2]=>[1,2,3,4]=>[4]
[-2,4,3,-1]=>[-1,3,4,-2]=>[4,1,2,3]=>[3,1]
[-2,4,-3,1]=>[1,-3,4,-2]=>[1,3,2,4]=>[3,1]
[-2,4,-3,-1]=>[-1,-3,4,-2]=>[4,2,1,3]=>[2,1,1]
[-2,-4,3,1]=>[1,3,-4,-2]=>[1,2,3,4]=>[4]
[-2,-4,3,-1]=>[-1,3,-4,-2]=>[4,1,2,3]=>[3,1]
[-2,-4,-3,1]=>[1,-3,-4,-2]=>[1,3,2,4]=>[3,1]
[-2,-4,-3,-1]=>[-1,-3,-4,-2]=>[4,2,1,3]=>[2,1,1]
[3,1,2,4]=>[4,2,1,3]=>[4,2,1,3]=>[2,1,1]
[3,1,2,-4]=>[-4,2,1,3]=>[4,2,1,3]=>[2,1,1]
[3,1,-2,4]=>[4,-2,1,3]=>[3,4,1,2]=>[2,2]
[3,1,-2,-4]=>[-4,-2,1,3]=>[3,4,1,2]=>[2,2]
[3,-1,2,4]=>[4,2,-1,3]=>[3,1,4,2]=>[2,2]
[3,-1,2,-4]=>[-4,2,-1,3]=>[3,1,4,2]=>[2,2]
[3,-1,-2,4]=>[4,-2,-1,3]=>[2,3,4,1]=>[3,1]
[3,-1,-2,-4]=>[-4,-2,-1,3]=>[2,3,4,1]=>[3,1]
[-3,1,2,4]=>[4,2,1,-3]=>[3,2,1,4]=>[2,1,1]
[-3,1,2,-4]=>[-4,2,1,-3]=>[3,2,1,4]=>[2,1,1]
[-3,1,-2,4]=>[4,-2,1,-3]=>[2,4,1,3]=>[2,2]
[-3,1,-2,-4]=>[-4,-2,1,-3]=>[2,4,1,3]=>[2,2]
[-3,-1,2,4]=>[4,2,-1,-3]=>[2,1,4,3]=>[2,2]
[-3,-1,2,-4]=>[-4,2,-1,-3]=>[2,1,4,3]=>[2,2]
[-3,-1,-2,4]=>[4,-2,-1,-3]=>[1,3,4,2]=>[3,1]
[-3,-1,-2,-4]=>[-4,-2,-1,-3]=>[1,3,4,2]=>[3,1]
[3,1,4,2]=>[2,4,1,3]=>[2,4,1,3]=>[2,2]
[3,1,4,-2]=>[-2,4,1,3]=>[4,3,1,2]=>[2,1,1]
[3,1,-4,2]=>[2,-4,1,3]=>[2,4,1,3]=>[2,2]
[3,1,-4,-2]=>[-2,-4,1,3]=>[4,3,1,2]=>[2,1,1]
[3,-1,4,2]=>[2,4,-1,3]=>[1,3,4,2]=>[3,1]
[3,-1,4,-2]=>[-2,4,-1,3]=>[3,2,4,1]=>[2,1,1]
[3,-1,-4,2]=>[2,-4,-1,3]=>[1,3,4,2]=>[3,1]
[3,-1,-4,-2]=>[-2,-4,-1,3]=>[3,2,4,1]=>[2,1,1]
[-3,1,4,2]=>[2,4,1,-3]=>[2,3,1,4]=>[3,1]
[-3,1,4,-2]=>[-2,4,1,-3]=>[4,2,1,3]=>[2,1,1]
[-3,1,-4,2]=>[2,-4,1,-3]=>[2,3,1,4]=>[3,1]
[-3,1,-4,-2]=>[-2,-4,1,-3]=>[4,2,1,3]=>[2,1,1]
[-3,-1,4,2]=>[2,4,-1,-3]=>[1,2,4,3]=>[3,1]
[-3,-1,4,-2]=>[-2,4,-1,-3]=>[3,1,4,2]=>[2,2]
[-3,-1,-4,2]=>[2,-4,-1,-3]=>[1,2,4,3]=>[3,1]
[-3,-1,-4,-2]=>[-2,-4,-1,-3]=>[3,1,4,2]=>[2,2]
[3,2,1,4]=>[4,1,2,3]=>[4,1,2,3]=>[3,1]
[3,2,1,-4]=>[-4,1,2,3]=>[4,1,2,3]=>[3,1]
[3,2,-1,4]=>[4,-1,2,3]=>[3,4,1,2]=>[2,2]
[3,2,-1,-4]=>[-4,-1,2,3]=>[3,4,1,2]=>[2,2]
[3,-2,1,4]=>[4,1,-2,3]=>[3,1,4,2]=>[2,2]
[3,-2,1,-4]=>[-4,1,-2,3]=>[3,1,4,2]=>[2,2]
[3,-2,-1,4]=>[4,-1,-2,3]=>[2,4,3,1]=>[2,1,1]
[3,-2,-1,-4]=>[-4,-1,-2,3]=>[2,4,3,1]=>[2,1,1]
[-3,2,1,4]=>[4,1,2,-3]=>[3,1,2,4]=>[3,1]
[-3,2,1,-4]=>[-4,1,2,-3]=>[3,1,2,4]=>[3,1]
[-3,2,-1,4]=>[4,-1,2,-3]=>[2,4,1,3]=>[2,2]
[-3,2,-1,-4]=>[-4,-1,2,-3]=>[2,4,1,3]=>[2,2]
[-3,-2,1,4]=>[4,1,-2,-3]=>[2,1,4,3]=>[2,2]
[-3,-2,1,-4]=>[-4,1,-2,-3]=>[2,1,4,3]=>[2,2]
[-3,-2,-1,4]=>[4,-1,-2,-3]=>[1,4,3,2]=>[2,1,1]
[-3,-2,-1,-4]=>[-4,-1,-2,-3]=>[1,4,3,2]=>[2,1,1]
[3,2,4,1]=>[1,4,2,3]=>[1,4,2,3]=>[3,1]
[3,2,4,-1]=>[-1,4,2,3]=>[4,3,1,2]=>[2,1,1]
[3,2,-4,1]=>[1,-4,2,3]=>[1,4,2,3]=>[3,1]
[3,2,-4,-1]=>[-1,-4,2,3]=>[4,3,1,2]=>[2,1,1]
[3,-2,4,1]=>[1,4,-2,3]=>[1,3,4,2]=>[3,1]
[3,-2,4,-1]=>[-1,4,-2,3]=>[4,2,3,1]=>[2,1,1]
[3,-2,-4,1]=>[1,-4,-2,3]=>[1,3,4,2]=>[3,1]
[3,-2,-4,-1]=>[-1,-4,-2,3]=>[4,2,3,1]=>[2,1,1]
[-3,2,4,1]=>[1,4,2,-3]=>[1,3,2,4]=>[3,1]
[-3,2,4,-1]=>[-1,4,2,-3]=>[4,2,1,3]=>[2,1,1]
[-3,2,-4,1]=>[1,-4,2,-3]=>[1,3,2,4]=>[3,1]
[-3,2,-4,-1]=>[-1,-4,2,-3]=>[4,2,1,3]=>[2,1,1]
[-3,-2,4,1]=>[1,4,-2,-3]=>[1,2,4,3]=>[3,1]
[-3,-2,4,-1]=>[-1,4,-2,-3]=>[4,1,3,2]=>[2,1,1]
[-3,-2,-4,1]=>[1,-4,-2,-3]=>[1,2,4,3]=>[3,1]
[-3,-2,-4,-1]=>[-1,-4,-2,-3]=>[4,1,3,2]=>[2,1,1]
[3,4,1,2]=>[2,1,4,3]=>[2,1,4,3]=>[2,2]
[3,4,1,-2]=>[-2,1,4,3]=>[4,1,3,2]=>[2,1,1]
[3,4,-1,2]=>[2,-1,4,3]=>[1,4,3,2]=>[2,1,1]
[3,4,-1,-2]=>[-2,-1,4,3]=>[3,4,2,1]=>[2,1,1]
[3,-4,1,2]=>[2,1,-4,3]=>[2,1,4,3]=>[2,2]
[3,-4,1,-2]=>[-2,1,-4,3]=>[4,1,3,2]=>[2,1,1]
[3,-4,-1,2]=>[2,-1,-4,3]=>[1,4,3,2]=>[2,1,1]
[3,-4,-1,-2]=>[-2,-1,-4,3]=>[3,4,2,1]=>[2,1,1]
[-3,4,1,2]=>[2,1,4,-3]=>[2,1,3,4]=>[3,1]
[-3,4,1,-2]=>[-2,1,4,-3]=>[4,1,2,3]=>[3,1]
[-3,4,-1,2]=>[2,-1,4,-3]=>[1,4,2,3]=>[3,1]
[-3,4,-1,-2]=>[-2,-1,4,-3]=>[3,4,1,2]=>[2,2]
[-3,-4,1,2]=>[2,1,-4,-3]=>[2,1,3,4]=>[3,1]
[-3,-4,1,-2]=>[-2,1,-4,-3]=>[4,1,2,3]=>[3,1]
[-3,-4,-1,2]=>[2,-1,-4,-3]=>[1,4,2,3]=>[3,1]
[-3,-4,-1,-2]=>[-2,-1,-4,-3]=>[3,4,1,2]=>[2,2]
[3,4,2,1]=>[1,2,4,3]=>[1,2,4,3]=>[3,1]
[3,4,2,-1]=>[-1,2,4,3]=>[4,1,3,2]=>[2,1,1]
[3,4,-2,1]=>[1,-2,4,3]=>[1,4,3,2]=>[2,1,1]
[3,4,-2,-1]=>[-1,-2,4,3]=>[4,3,2,1]=>[1,1,1,1]
[3,-4,2,1]=>[1,2,-4,3]=>[1,2,4,3]=>[3,1]
[3,-4,2,-1]=>[-1,2,-4,3]=>[4,1,3,2]=>[2,1,1]
[3,-4,-2,1]=>[1,-2,-4,3]=>[1,4,3,2]=>[2,1,1]
[3,-4,-2,-1]=>[-1,-2,-4,3]=>[4,3,2,1]=>[1,1,1,1]
[-3,4,2,1]=>[1,2,4,-3]=>[1,2,3,4]=>[4]
[-3,4,2,-1]=>[-1,2,4,-3]=>[4,1,2,3]=>[3,1]
[-3,4,-2,1]=>[1,-2,4,-3]=>[1,4,2,3]=>[3,1]
[-3,4,-2,-1]=>[-1,-2,4,-3]=>[4,3,1,2]=>[2,1,1]
[-3,-4,2,1]=>[1,2,-4,-3]=>[1,2,3,4]=>[4]
[-3,-4,2,-1]=>[-1,2,-4,-3]=>[4,1,2,3]=>[3,1]
[-3,-4,-2,1]=>[1,-2,-4,-3]=>[1,4,2,3]=>[3,1]
[-3,-4,-2,-1]=>[-1,-2,-4,-3]=>[4,3,1,2]=>[2,1,1]
[4,1,2,3]=>[3,2,1,4]=>[3,2,1,4]=>[2,1,1]
[4,1,2,-3]=>[-3,2,1,4]=>[4,2,1,3]=>[2,1,1]
[4,1,-2,3]=>[3,-2,1,4]=>[2,4,1,3]=>[2,2]
[4,1,-2,-3]=>[-3,-2,1,4]=>[3,4,1,2]=>[2,2]
[4,-1,2,3]=>[3,2,-1,4]=>[2,1,4,3]=>[2,2]
[4,-1,2,-3]=>[-3,2,-1,4]=>[3,1,4,2]=>[2,2]
[4,-1,-2,3]=>[3,-2,-1,4]=>[1,3,4,2]=>[3,1]
[4,-1,-2,-3]=>[-3,-2,-1,4]=>[2,3,4,1]=>[3,1]
[-4,1,2,3]=>[3,2,1,-4]=>[3,2,1,4]=>[2,1,1]
[-4,1,2,-3]=>[-3,2,1,-4]=>[4,2,1,3]=>[2,1,1]
[-4,1,-2,3]=>[3,-2,1,-4]=>[2,4,1,3]=>[2,2]
[-4,1,-2,-3]=>[-3,-2,1,-4]=>[3,4,1,2]=>[2,2]
[-4,-1,2,3]=>[3,2,-1,-4]=>[2,1,4,3]=>[2,2]
[-4,-1,2,-3]=>[-3,2,-1,-4]=>[3,1,4,2]=>[2,2]
[-4,-1,-2,3]=>[3,-2,-1,-4]=>[1,3,4,2]=>[3,1]
[-4,-1,-2,-3]=>[-3,-2,-1,-4]=>[2,3,4,1]=>[3,1]
[4,1,3,2]=>[2,3,1,4]=>[2,3,1,4]=>[3,1]
[4,1,3,-2]=>[-2,3,1,4]=>[4,2,1,3]=>[2,1,1]
[4,1,-3,2]=>[2,-3,1,4]=>[2,4,1,3]=>[2,2]
[4,1,-3,-2]=>[-2,-3,1,4]=>[4,3,1,2]=>[2,1,1]
[4,-1,3,2]=>[2,3,-1,4]=>[1,2,4,3]=>[3,1]
[4,-1,3,-2]=>[-2,3,-1,4]=>[3,1,4,2]=>[2,2]
[4,-1,-3,2]=>[2,-3,-1,4]=>[1,3,4,2]=>[3,1]
[4,-1,-3,-2]=>[-2,-3,-1,4]=>[3,2,4,1]=>[2,1,1]
[-4,1,3,2]=>[2,3,1,-4]=>[2,3,1,4]=>[3,1]
[-4,1,3,-2]=>[-2,3,1,-4]=>[4,2,1,3]=>[2,1,1]
[-4,1,-3,2]=>[2,-3,1,-4]=>[2,4,1,3]=>[2,2]
[-4,1,-3,-2]=>[-2,-3,1,-4]=>[4,3,1,2]=>[2,1,1]
[-4,-1,3,2]=>[2,3,-1,-4]=>[1,2,4,3]=>[3,1]
[-4,-1,3,-2]=>[-2,3,-1,-4]=>[3,1,4,2]=>[2,2]
[-4,-1,-3,2]=>[2,-3,-1,-4]=>[1,3,4,2]=>[3,1]
[-4,-1,-3,-2]=>[-2,-3,-1,-4]=>[3,2,4,1]=>[2,1,1]
[4,2,1,3]=>[3,1,2,4]=>[3,1,2,4]=>[3,1]
[4,2,1,-3]=>[-3,1,2,4]=>[4,1,2,3]=>[3,1]
[4,2,-1,3]=>[3,-1,2,4]=>[2,4,1,3]=>[2,2]
[4,2,-1,-3]=>[-3,-1,2,4]=>[3,4,1,2]=>[2,2]
[4,-2,1,3]=>[3,1,-2,4]=>[2,1,4,3]=>[2,2]
[4,-2,1,-3]=>[-3,1,-2,4]=>[3,1,4,2]=>[2,2]
[4,-2,-1,3]=>[3,-1,-2,4]=>[1,4,3,2]=>[2,1,1]
[4,-2,-1,-3]=>[-3,-1,-2,4]=>[2,4,3,1]=>[2,1,1]
[-4,2,1,3]=>[3,1,2,-4]=>[3,1,2,4]=>[3,1]
[-4,2,1,-3]=>[-3,1,2,-4]=>[4,1,2,3]=>[3,1]
[-4,2,-1,3]=>[3,-1,2,-4]=>[2,4,1,3]=>[2,2]
[-4,2,-1,-3]=>[-3,-1,2,-4]=>[3,4,1,2]=>[2,2]
[-4,-2,1,3]=>[3,1,-2,-4]=>[2,1,4,3]=>[2,2]
[-4,-2,1,-3]=>[-3,1,-2,-4]=>[3,1,4,2]=>[2,2]
[-4,-2,-1,3]=>[3,-1,-2,-4]=>[1,4,3,2]=>[2,1,1]
[-4,-2,-1,-3]=>[-3,-1,-2,-4]=>[2,4,3,1]=>[2,1,1]
[4,2,3,1]=>[1,3,2,4]=>[1,3,2,4]=>[3,1]
[4,2,3,-1]=>[-1,3,2,4]=>[4,2,1,3]=>[2,1,1]
[4,2,-3,1]=>[1,-3,2,4]=>[1,4,2,3]=>[3,1]
[4,2,-3,-1]=>[-1,-3,2,4]=>[4,3,1,2]=>[2,1,1]
[4,-2,3,1]=>[1,3,-2,4]=>[1,2,4,3]=>[3,1]
[4,-2,3,-1]=>[-1,3,-2,4]=>[4,1,3,2]=>[2,1,1]
[4,-2,-3,1]=>[1,-3,-2,4]=>[1,3,4,2]=>[3,1]
[4,-2,-3,-1]=>[-1,-3,-2,4]=>[4,2,3,1]=>[2,1,1]
[-4,2,3,1]=>[1,3,2,-4]=>[1,3,2,4]=>[3,1]
[-4,2,3,-1]=>[-1,3,2,-4]=>[4,2,1,3]=>[2,1,1]
[-4,2,-3,1]=>[1,-3,2,-4]=>[1,4,2,3]=>[3,1]
[-4,2,-3,-1]=>[-1,-3,2,-4]=>[4,3,1,2]=>[2,1,1]
[-4,-2,3,1]=>[1,3,-2,-4]=>[1,2,4,3]=>[3,1]
[-4,-2,3,-1]=>[-1,3,-2,-4]=>[4,1,3,2]=>[2,1,1]
[-4,-2,-3,1]=>[1,-3,-2,-4]=>[1,3,4,2]=>[3,1]
[-4,-2,-3,-1]=>[-1,-3,-2,-4]=>[4,2,3,1]=>[2,1,1]
[4,3,1,2]=>[2,1,3,4]=>[2,1,3,4]=>[3,1]
[4,3,1,-2]=>[-2,1,3,4]=>[4,1,2,3]=>[3,1]
[4,3,-1,2]=>[2,-1,3,4]=>[1,4,2,3]=>[3,1]
[4,3,-1,-2]=>[-2,-1,3,4]=>[3,4,1,2]=>[2,2]
[4,-3,1,2]=>[2,1,-3,4]=>[2,1,4,3]=>[2,2]
[4,-3,1,-2]=>[-2,1,-3,4]=>[4,1,3,2]=>[2,1,1]
[4,-3,-1,2]=>[2,-1,-3,4]=>[1,4,3,2]=>[2,1,1]
[4,-3,-1,-2]=>[-2,-1,-3,4]=>[3,4,2,1]=>[2,1,1]
[-4,3,1,2]=>[2,1,3,-4]=>[2,1,3,4]=>[3,1]
[-4,3,1,-2]=>[-2,1,3,-4]=>[4,1,2,3]=>[3,1]
[-4,3,-1,2]=>[2,-1,3,-4]=>[1,4,2,3]=>[3,1]
[-4,3,-1,-2]=>[-2,-1,3,-4]=>[3,4,1,2]=>[2,2]
[-4,-3,1,2]=>[2,1,-3,-4]=>[2,1,4,3]=>[2,2]
[-4,-3,1,-2]=>[-2,1,-3,-4]=>[4,1,3,2]=>[2,1,1]
[-4,-3,-1,2]=>[2,-1,-3,-4]=>[1,4,3,2]=>[2,1,1]
[-4,-3,-1,-2]=>[-2,-1,-3,-4]=>[3,4,2,1]=>[2,1,1]
[4,3,2,1]=>[1,2,3,4]=>[1,2,3,4]=>[4]
[4,3,2,-1]=>[-1,2,3,4]=>[4,1,2,3]=>[3,1]
[4,3,-2,1]=>[1,-2,3,4]=>[1,4,2,3]=>[3,1]
[4,3,-2,-1]=>[-1,-2,3,4]=>[4,3,1,2]=>[2,1,1]
[4,-3,2,1]=>[1,2,-3,4]=>[1,2,4,3]=>[3,1]
[4,-3,2,-1]=>[-1,2,-3,4]=>[4,1,3,2]=>[2,1,1]
[4,-3,-2,1]=>[1,-2,-3,4]=>[1,4,3,2]=>[2,1,1]
[4,-3,-2,-1]=>[-1,-2,-3,4]=>[4,3,2,1]=>[1,1,1,1]
[-4,3,2,1]=>[1,2,3,-4]=>[1,2,3,4]=>[4]
[-4,3,2,-1]=>[-1,2,3,-4]=>[4,1,2,3]=>[3,1]
[-4,3,-2,1]=>[1,-2,3,-4]=>[1,4,2,3]=>[3,1]
[-4,3,-2,-1]=>[-1,-2,3,-4]=>[4,3,1,2]=>[2,1,1]
[-4,-3,2,1]=>[1,2,-3,-4]=>[1,2,4,3]=>[3,1]
[-4,-3,2,-1]=>[-1,2,-3,-4]=>[4,1,3,2]=>[2,1,1]
[-4,-3,-2,1]=>[1,-2,-3,-4]=>[1,4,3,2]=>[2,1,1]
[-4,-3,-2,-1]=>[-1,-2,-3,-4]=>[4,3,2,1]=>[1,1,1,1]
[1,2,3,4,5]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[1,1,1,1,1]
[1,2,3,4,-5]=>[-5,4,3,2,1]=>[5,4,3,2,1]=>[1,1,1,1,1]
[1,2,3,-4,5]=>[5,-4,3,2,1]=>[4,5,3,2,1]=>[2,1,1,1]
[1,2,3,-4,-5]=>[-5,-4,3,2,1]=>[4,5,3,2,1]=>[2,1,1,1]
[1,2,-3,4,5]=>[5,4,-3,2,1]=>[4,3,5,2,1]=>[2,1,1,1]
[1,2,-3,4,-5]=>[-5,4,-3,2,1]=>[4,3,5,2,1]=>[2,1,1,1]
[1,2,-3,-4,5]=>[5,-4,-3,2,1]=>[3,4,5,2,1]=>[3,1,1]
[1,2,-3,-4,-5]=>[-5,-4,-3,2,1]=>[3,4,5,2,1]=>[3,1,1]
[1,-2,3,4,5]=>[5,4,3,-2,1]=>[4,3,2,5,1]=>[2,1,1,1]
[1,-2,3,4,-5]=>[-5,4,3,-2,1]=>[4,3,2,5,1]=>[2,1,1,1]
[1,-2,3,-4,5]=>[5,-4,3,-2,1]=>[3,4,2,5,1]=>[3,1,1]
[1,-2,3,-4,-5]=>[-5,-4,3,-2,1]=>[3,4,2,5,1]=>[3,1,1]
[1,-2,-3,4,5]=>[5,4,-3,-2,1]=>[3,2,4,5,1]=>[3,1,1]
[1,-2,-3,4,-5]=>[-5,4,-3,-2,1]=>[3,2,4,5,1]=>[3,1,1]
[1,-2,-3,-4,5]=>[5,-4,-3,-2,1]=>[2,3,4,5,1]=>[4,1]
[1,-2,-3,-4,-5]=>[-5,-4,-3,-2,1]=>[2,3,4,5,1]=>[4,1]
[-1,2,3,4,5]=>[5,4,3,2,-1]=>[4,3,2,1,5]=>[2,1,1,1]
[-1,2,3,4,-5]=>[-5,4,3,2,-1]=>[4,3,2,1,5]=>[2,1,1,1]
[-1,2,3,-4,5]=>[5,-4,3,2,-1]=>[3,4,2,1,5]=>[3,1,1]
[-1,2,3,-4,-5]=>[-5,-4,3,2,-1]=>[3,4,2,1,5]=>[3,1,1]
[-1,2,-3,4,5]=>[5,4,-3,2,-1]=>[3,2,4,1,5]=>[3,1,1]
[-1,2,-3,4,-5]=>[-5,4,-3,2,-1]=>[3,2,4,1,5]=>[3,1,1]
[-1,2,-3,-4,5]=>[5,-4,-3,2,-1]=>[2,3,4,1,5]=>[4,1]
[-1,2,-3,-4,-5]=>[-5,-4,-3,2,-1]=>[2,3,4,1,5]=>[4,1]
[-1,-2,3,4,5]=>[5,4,3,-2,-1]=>[3,2,1,4,5]=>[3,1,1]
[-1,-2,3,4,-5]=>[-5,4,3,-2,-1]=>[3,2,1,4,5]=>[3,1,1]
[-1,-2,3,-4,5]=>[5,-4,3,-2,-1]=>[2,3,1,4,5]=>[4,1]
[-1,-2,3,-4,-5]=>[-5,-4,3,-2,-1]=>[2,3,1,4,5]=>[4,1]
[-1,-2,-3,4,5]=>[5,4,-3,-2,-1]=>[2,1,3,4,5]=>[4,1]
[-1,-2,-3,4,-5]=>[-5,4,-3,-2,-1]=>[2,1,3,4,5]=>[4,1]
[-1,-2,-3,-4,5]=>[5,-4,-3,-2,-1]=>[1,2,3,4,5]=>[5]
[-1,-2,-3,-4,-5]=>[-5,-4,-3,-2,-1]=>[1,2,3,4,5]=>[5]
[1,2,3,5,4]=>[4,5,3,2,1]=>[4,5,3,2,1]=>[2,1,1,1]
[1,2,3,5,-4]=>[-4,5,3,2,1]=>[5,4,3,2,1]=>[1,1,1,1,1]
[1,2,3,-5,4]=>[4,-5,3,2,1]=>[4,5,3,2,1]=>[2,1,1,1]
[1,2,3,-5,-4]=>[-4,-5,3,2,1]=>[5,4,3,2,1]=>[1,1,1,1,1]
[1,2,-3,5,4]=>[4,5,-3,2,1]=>[3,4,5,2,1]=>[3,1,1]
[1,2,-3,5,-4]=>[-4,5,-3,2,1]=>[4,3,5,2,1]=>[2,1,1,1]
[1,2,-3,-5,4]=>[4,-5,-3,2,1]=>[3,4,5,2,1]=>[3,1,1]
[1,2,-3,-5,-4]=>[-4,-5,-3,2,1]=>[4,3,5,2,1]=>[2,1,1,1]
[1,-2,3,5,4]=>[4,5,3,-2,1]=>[3,4,2,5,1]=>[3,1,1]
[1,-2,3,5,-4]=>[-4,5,3,-2,1]=>[4,3,2,5,1]=>[2,1,1,1]
[1,-2,3,-5,4]=>[4,-5,3,-2,1]=>[3,4,2,5,1]=>[3,1,1]
[1,-2,3,-5,-4]=>[-4,-5,3,-2,1]=>[4,3,2,5,1]=>[2,1,1,1]
[1,-2,-3,5,4]=>[4,5,-3,-2,1]=>[2,3,4,5,1]=>[4,1]
[1,-2,-3,5,-4]=>[-4,5,-3,-2,1]=>[3,2,4,5,1]=>[3,1,1]
[1,-2,-3,-5,4]=>[4,-5,-3,-2,1]=>[2,3,4,5,1]=>[4,1]
[1,-2,-3,-5,-4]=>[-4,-5,-3,-2,1]=>[3,2,4,5,1]=>[3,1,1]
[-1,2,3,5,4]=>[4,5,3,2,-1]=>[3,4,2,1,5]=>[3,1,1]
[-1,2,3,5,-4]=>[-4,5,3,2,-1]=>[4,3,2,1,5]=>[2,1,1,1]
[-1,2,3,-5,4]=>[4,-5,3,2,-1]=>[3,4,2,1,5]=>[3,1,1]
[-1,2,3,-5,-4]=>[-4,-5,3,2,-1]=>[4,3,2,1,5]=>[2,1,1,1]
[-1,2,-3,5,4]=>[4,5,-3,2,-1]=>[2,3,4,1,5]=>[4,1]
[-1,2,-3,5,-4]=>[-4,5,-3,2,-1]=>[3,2,4,1,5]=>[3,1,1]
[-1,2,-3,-5,4]=>[4,-5,-3,2,-1]=>[2,3,4,1,5]=>[4,1]
[-1,2,-3,-5,-4]=>[-4,-5,-3,2,-1]=>[3,2,4,1,5]=>[3,1,1]
[-1,-2,3,5,4]=>[4,5,3,-2,-1]=>[2,3,1,4,5]=>[4,1]
[-1,-2,3,5,-4]=>[-4,5,3,-2,-1]=>[3,2,1,4,5]=>[3,1,1]
[-1,-2,3,-5,4]=>[4,-5,3,-2,-1]=>[2,3,1,4,5]=>[4,1]
[-1,-2,3,-5,-4]=>[-4,-5,3,-2,-1]=>[3,2,1,4,5]=>[3,1,1]
[-1,-2,-3,5,4]=>[4,5,-3,-2,-1]=>[1,2,3,4,5]=>[5]
[-1,-2,-3,5,-4]=>[-4,5,-3,-2,-1]=>[2,1,3,4,5]=>[4,1]
[-1,-2,-3,-5,4]=>[4,-5,-3,-2,-1]=>[1,2,3,4,5]=>[5]
[-1,-2,-3,-5,-4]=>[-4,-5,-3,-2,-1]=>[2,1,3,4,5]=>[4,1]
[1,2,4,3,5]=>[5,3,4,2,1]=>[5,3,4,2,1]=>[2,1,1,1]
[1,2,4,3,-5]=>[-5,3,4,2,1]=>[5,3,4,2,1]=>[2,1,1,1]
[1,2,4,-3,5]=>[5,-3,4,2,1]=>[4,5,3,2,1]=>[2,1,1,1]
[1,2,4,-3,-5]=>[-5,-3,4,2,1]=>[4,5,3,2,1]=>[2,1,1,1]
[1,2,-4,3,5]=>[5,3,-4,2,1]=>[4,3,5,2,1]=>[2,1,1,1]
[1,2,-4,3,-5]=>[-5,3,-4,2,1]=>[4,3,5,2,1]=>[2,1,1,1]
[1,2,-4,-3,5]=>[5,-3,-4,2,1]=>[3,5,4,2,1]=>[2,1,1,1]
[1,2,-4,-3,-5]=>[-5,-3,-4,2,1]=>[3,5,4,2,1]=>[2,1,1,1]
[1,-2,4,3,5]=>[5,3,4,-2,1]=>[4,2,3,5,1]=>[3,1,1]
[1,-2,4,3,-5]=>[-5,3,4,-2,1]=>[4,2,3,5,1]=>[3,1,1]
[1,-2,4,-3,5]=>[5,-3,4,-2,1]=>[3,4,2,5,1]=>[3,1,1]
[1,-2,4,-3,-5]=>[-5,-3,4,-2,1]=>[3,4,2,5,1]=>[3,1,1]
[1,-2,-4,3,5]=>[5,3,-4,-2,1]=>[3,2,4,5,1]=>[3,1,1]
[1,-2,-4,3,-5]=>[-5,3,-4,-2,1]=>[3,2,4,5,1]=>[3,1,1]
[1,-2,-4,-3,5]=>[5,-3,-4,-2,1]=>[2,4,3,5,1]=>[3,1,1]
[1,-2,-4,-3,-5]=>[-5,-3,-4,-2,1]=>[2,4,3,5,1]=>[3,1,1]
[-1,2,4,3,5]=>[5,3,4,2,-1]=>[4,2,3,1,5]=>[3,1,1]
[-1,2,4,3,-5]=>[-5,3,4,2,-1]=>[4,2,3,1,5]=>[3,1,1]
[-1,2,4,-3,5]=>[5,-3,4,2,-1]=>[3,4,2,1,5]=>[3,1,1]
[-1,2,4,-3,-5]=>[-5,-3,4,2,-1]=>[3,4,2,1,5]=>[3,1,1]
[-1,2,-4,3,5]=>[5,3,-4,2,-1]=>[3,2,4,1,5]=>[3,1,1]
[-1,2,-4,3,-5]=>[-5,3,-4,2,-1]=>[3,2,4,1,5]=>[3,1,1]
[-1,2,-4,-3,5]=>[5,-3,-4,2,-1]=>[2,4,3,1,5]=>[3,1,1]
[-1,2,-4,-3,-5]=>[-5,-3,-4,2,-1]=>[2,4,3,1,5]=>[3,1,1]
[-1,-2,4,3,5]=>[5,3,4,-2,-1]=>[3,1,2,4,5]=>[4,1]
[-1,-2,4,3,-5]=>[-5,3,4,-2,-1]=>[3,1,2,4,5]=>[4,1]
[-1,-2,4,-3,5]=>[5,-3,4,-2,-1]=>[2,3,1,4,5]=>[4,1]
[-1,-2,4,-3,-5]=>[-5,-3,4,-2,-1]=>[2,3,1,4,5]=>[4,1]
[-1,-2,-4,3,5]=>[5,3,-4,-2,-1]=>[2,1,3,4,5]=>[4,1]
[-1,-2,-4,3,-5]=>[-5,3,-4,-2,-1]=>[2,1,3,4,5]=>[4,1]
[-1,-2,-4,-3,5]=>[5,-3,-4,-2,-1]=>[1,3,2,4,5]=>[4,1]
[-1,-2,-4,-3,-5]=>[-5,-3,-4,-2,-1]=>[1,3,2,4,5]=>[4,1]
[1,2,4,5,3]=>[3,5,4,2,1]=>[3,5,4,2,1]=>[2,1,1,1]
[1,2,4,5,-3]=>[-3,5,4,2,1]=>[5,4,3,2,1]=>[1,1,1,1,1]
[1,2,4,-5,3]=>[3,-5,4,2,1]=>[3,5,4,2,1]=>[2,1,1,1]
[1,2,4,-5,-3]=>[-3,-5,4,2,1]=>[5,4,3,2,1]=>[1,1,1,1,1]
[1,2,-4,5,3]=>[3,5,-4,2,1]=>[3,4,5,2,1]=>[3,1,1]
[1,2,-4,5,-3]=>[-3,5,-4,2,1]=>[5,3,4,2,1]=>[2,1,1,1]
[1,2,-4,-5,3]=>[3,-5,-4,2,1]=>[3,4,5,2,1]=>[3,1,1]
[1,2,-4,-5,-3]=>[-3,-5,-4,2,1]=>[5,3,4,2,1]=>[2,1,1,1]
[1,-2,4,5,3]=>[3,5,4,-2,1]=>[2,4,3,5,1]=>[3,1,1]
[1,-2,4,5,-3]=>[-3,5,4,-2,1]=>[4,3,2,5,1]=>[2,1,1,1]
[1,-2,4,-5,3]=>[3,-5,4,-2,1]=>[2,4,3,5,1]=>[3,1,1]
[1,-2,4,-5,-3]=>[-3,-5,4,-2,1]=>[4,3,2,5,1]=>[2,1,1,1]
[1,-2,-4,5,3]=>[3,5,-4,-2,1]=>[2,3,4,5,1]=>[4,1]
[1,-2,-4,5,-3]=>[-3,5,-4,-2,1]=>[4,2,3,5,1]=>[3,1,1]
[1,-2,-4,-5,3]=>[3,-5,-4,-2,1]=>[2,3,4,5,1]=>[4,1]
[1,-2,-4,-5,-3]=>[-3,-5,-4,-2,1]=>[4,2,3,5,1]=>[3,1,1]
[-1,2,4,5,3]=>[3,5,4,2,-1]=>[2,4,3,1,5]=>[3,1,1]
[-1,2,4,5,-3]=>[-3,5,4,2,-1]=>[4,3,2,1,5]=>[2,1,1,1]
[-1,2,4,-5,3]=>[3,-5,4,2,-1]=>[2,4,3,1,5]=>[3,1,1]
[-1,2,4,-5,-3]=>[-3,-5,4,2,-1]=>[4,3,2,1,5]=>[2,1,1,1]
[-1,2,-4,5,3]=>[3,5,-4,2,-1]=>[2,3,4,1,5]=>[4,1]
[-1,2,-4,5,-3]=>[-3,5,-4,2,-1]=>[4,2,3,1,5]=>[3,1,1]
[-1,2,-4,-5,3]=>[3,-5,-4,2,-1]=>[2,3,4,1,5]=>[4,1]
[-1,2,-4,-5,-3]=>[-3,-5,-4,2,-1]=>[4,2,3,1,5]=>[3,1,1]
[-1,-2,4,5,3]=>[3,5,4,-2,-1]=>[1,3,2,4,5]=>[4,1]
[-1,-2,4,5,-3]=>[-3,5,4,-2,-1]=>[3,2,1,4,5]=>[3,1,1]
[-1,-2,4,-5,3]=>[3,-5,4,-2,-1]=>[1,3,2,4,5]=>[4,1]
[-1,-2,4,-5,-3]=>[-3,-5,4,-2,-1]=>[3,2,1,4,5]=>[3,1,1]
[-1,-2,-4,5,3]=>[3,5,-4,-2,-1]=>[1,2,3,4,5]=>[5]
[-1,-2,-4,5,-3]=>[-3,5,-4,-2,-1]=>[3,1,2,4,5]=>[4,1]
[-1,-2,-4,-5,3]=>[3,-5,-4,-2,-1]=>[1,2,3,4,5]=>[5]
[-1,-2,-4,-5,-3]=>[-3,-5,-4,-2,-1]=>[3,1,2,4,5]=>[4,1]
[1,2,5,3,4]=>[4,3,5,2,1]=>[4,3,5,2,1]=>[2,1,1,1]
[1,2,5,3,-4]=>[-4,3,5,2,1]=>[5,3,4,2,1]=>[2,1,1,1]
[1,2,5,-3,4]=>[4,-3,5,2,1]=>[3,5,4,2,1]=>[2,1,1,1]
[1,2,5,-3,-4]=>[-4,-3,5,2,1]=>[4,5,3,2,1]=>[2,1,1,1]
[1,2,-5,3,4]=>[4,3,-5,2,1]=>[4,3,5,2,1]=>[2,1,1,1]
[1,2,-5,3,-4]=>[-4,3,-5,2,1]=>[5,3,4,2,1]=>[2,1,1,1]
[1,2,-5,-3,4]=>[4,-3,-5,2,1]=>[3,5,4,2,1]=>[2,1,1,1]
[1,2,-5,-3,-4]=>[-4,-3,-5,2,1]=>[4,5,3,2,1]=>[2,1,1,1]
[1,-2,5,3,4]=>[4,3,5,-2,1]=>[3,2,4,5,1]=>[3,1,1]
[1,-2,5,3,-4]=>[-4,3,5,-2,1]=>[4,2,3,5,1]=>[3,1,1]
[1,-2,5,-3,4]=>[4,-3,5,-2,1]=>[2,4,3,5,1]=>[3,1,1]
[1,-2,5,-3,-4]=>[-4,-3,5,-2,1]=>[3,4,2,5,1]=>[3,1,1]
[1,-2,-5,3,4]=>[4,3,-5,-2,1]=>[3,2,4,5,1]=>[3,1,1]
[1,-2,-5,3,-4]=>[-4,3,-5,-2,1]=>[4,2,3,5,1]=>[3,1,1]
[1,-2,-5,-3,4]=>[4,-3,-5,-2,1]=>[2,4,3,5,1]=>[3,1,1]
[1,-2,-5,-3,-4]=>[-4,-3,-5,-2,1]=>[3,4,2,5,1]=>[3,1,1]
[-1,2,5,3,4]=>[4,3,5,2,-1]=>[3,2,4,1,5]=>[3,1,1]
[-1,2,5,3,-4]=>[-4,3,5,2,-1]=>[4,2,3,1,5]=>[3,1,1]
[-1,2,5,-3,4]=>[4,-3,5,2,-1]=>[2,4,3,1,5]=>[3,1,1]
[-1,2,5,-3,-4]=>[-4,-3,5,2,-1]=>[3,4,2,1,5]=>[3,1,1]
[-1,2,-5,3,4]=>[4,3,-5,2,-1]=>[3,2,4,1,5]=>[3,1,1]
[-1,2,-5,3,-4]=>[-4,3,-5,2,-1]=>[4,2,3,1,5]=>[3,1,1]
[-1,2,-5,-3,4]=>[4,-3,-5,2,-1]=>[2,4,3,1,5]=>[3,1,1]
[-1,2,-5,-3,-4]=>[-4,-3,-5,2,-1]=>[3,4,2,1,5]=>[3,1,1]
[-1,-2,5,3,4]=>[4,3,5,-2,-1]=>[2,1,3,4,5]=>[4,1]
[-1,-2,5,3,-4]=>[-4,3,5,-2,-1]=>[3,1,2,4,5]=>[4,1]
[-1,-2,5,-3,4]=>[4,-3,5,-2,-1]=>[1,3,2,4,5]=>[4,1]
[-1,-2,5,-3,-4]=>[-4,-3,5,-2,-1]=>[2,3,1,4,5]=>[4,1]
[-1,-2,-5,3,4]=>[4,3,-5,-2,-1]=>[2,1,3,4,5]=>[4,1]
[-1,-2,-5,3,-4]=>[-4,3,-5,-2,-1]=>[3,1,2,4,5]=>[4,1]
[-1,-2,-5,-3,4]=>[4,-3,-5,-2,-1]=>[1,3,2,4,5]=>[4,1]
[-1,-2,-5,-3,-4]=>[-4,-3,-5,-2,-1]=>[2,3,1,4,5]=>[4,1]
[1,2,5,4,3]=>[3,4,5,2,1]=>[3,4,5,2,1]=>[3,1,1]
[1,2,5,4,-3]=>[-3,4,5,2,1]=>[5,3,4,2,1]=>[2,1,1,1]
[1,2,5,-4,3]=>[3,-4,5,2,1]=>[3,5,4,2,1]=>[2,1,1,1]
[1,2,5,-4,-3]=>[-3,-4,5,2,1]=>[5,4,3,2,1]=>[1,1,1,1,1]
[1,2,-5,4,3]=>[3,4,-5,2,1]=>[3,4,5,2,1]=>[3,1,1]
[1,2,-5,4,-3]=>[-3,4,-5,2,1]=>[5,3,4,2,1]=>[2,1,1,1]
[1,2,-5,-4,3]=>[3,-4,-5,2,1]=>[3,5,4,2,1]=>[2,1,1,1]
[1,2,-5,-4,-3]=>[-3,-4,-5,2,1]=>[5,4,3,2,1]=>[1,1,1,1,1]
[1,-2,5,4,3]=>[3,4,5,-2,1]=>[2,3,4,5,1]=>[4,1]
[1,-2,5,4,-3]=>[-3,4,5,-2,1]=>[4,2,3,5,1]=>[3,1,1]
[1,-2,5,-4,3]=>[3,-4,5,-2,1]=>[2,4,3,5,1]=>[3,1,1]
[1,-2,5,-4,-3]=>[-3,-4,5,-2,1]=>[4,3,2,5,1]=>[2,1,1,1]
[1,-2,-5,4,3]=>[3,4,-5,-2,1]=>[2,3,4,5,1]=>[4,1]
[1,-2,-5,4,-3]=>[-3,4,-5,-2,1]=>[4,2,3,5,1]=>[3,1,1]
[1,-2,-5,-4,3]=>[3,-4,-5,-2,1]=>[2,4,3,5,1]=>[3,1,1]
[1,-2,-5,-4,-3]=>[-3,-4,-5,-2,1]=>[4,3,2,5,1]=>[2,1,1,1]
[-1,2,5,4,3]=>[3,4,5,2,-1]=>[2,3,4,1,5]=>[4,1]
[-1,2,5,4,-3]=>[-3,4,5,2,-1]=>[4,2,3,1,5]=>[3,1,1]
[-1,2,5,-4,3]=>[3,-4,5,2,-1]=>[2,4,3,1,5]=>[3,1,1]
[-1,2,5,-4,-3]=>[-3,-4,5,2,-1]=>[4,3,2,1,5]=>[2,1,1,1]
[-1,2,-5,4,3]=>[3,4,-5,2,-1]=>[2,3,4,1,5]=>[4,1]
[-1,2,-5,4,-3]=>[-3,4,-5,2,-1]=>[4,2,3,1,5]=>[3,1,1]
[-1,2,-5,-4,3]=>[3,-4,-5,2,-1]=>[2,4,3,1,5]=>[3,1,1]
[-1,2,-5,-4,-3]=>[-3,-4,-5,2,-1]=>[4,3,2,1,5]=>[2,1,1,1]
[-1,-2,5,4,3]=>[3,4,5,-2,-1]=>[1,2,3,4,5]=>[5]
[-1,-2,5,4,-3]=>[-3,4,5,-2,-1]=>[3,1,2,4,5]=>[4,1]
[-1,-2,5,-4,3]=>[3,-4,5,-2,-1]=>[1,3,2,4,5]=>[4,1]
[-1,-2,5,-4,-3]=>[-3,-4,5,-2,-1]=>[3,2,1,4,5]=>[3,1,1]
[-1,-2,-5,4,3]=>[3,4,-5,-2,-1]=>[1,2,3,4,5]=>[5]
[-1,-2,-5,4,-3]=>[-3,4,-5,-2,-1]=>[3,1,2,4,5]=>[4,1]
[-1,-2,-5,-4,3]=>[3,-4,-5,-2,-1]=>[1,3,2,4,5]=>[4,1]
[-1,-2,-5,-4,-3]=>[-3,-4,-5,-2,-1]=>[3,2,1,4,5]=>[3,1,1]
[1,3,2,4,5]=>[5,4,2,3,1]=>[5,4,2,3,1]=>[2,1,1,1]
[1,3,2,4,-5]=>[-5,4,2,3,1]=>[5,4,2,3,1]=>[2,1,1,1]
[1,3,2,-4,5]=>[5,-4,2,3,1]=>[4,5,2,3,1]=>[2,2,1]
[1,3,2,-4,-5]=>[-5,-4,2,3,1]=>[4,5,2,3,1]=>[2,2,1]
[1,3,-2,4,5]=>[5,4,-2,3,1]=>[4,3,5,2,1]=>[2,1,1,1]
[1,3,-2,4,-5]=>[-5,4,-2,3,1]=>[4,3,5,2,1]=>[2,1,1,1]
[1,3,-2,-4,5]=>[5,-4,-2,3,1]=>[3,4,5,2,1]=>[3,1,1]
[1,3,-2,-4,-5]=>[-5,-4,-2,3,1]=>[3,4,5,2,1]=>[3,1,1]
[1,-3,2,4,5]=>[5,4,2,-3,1]=>[4,3,2,5,1]=>[2,1,1,1]
[1,-3,2,4,-5]=>[-5,4,2,-3,1]=>[4,3,2,5,1]=>[2,1,1,1]
[1,-3,2,-4,5]=>[5,-4,2,-3,1]=>[3,4,2,5,1]=>[3,1,1]
[1,-3,2,-4,-5]=>[-5,-4,2,-3,1]=>[3,4,2,5,1]=>[3,1,1]
[1,-3,-2,4,5]=>[5,4,-2,-3,1]=>[3,2,5,4,1]=>[2,2,1]
[1,-3,-2,4,-5]=>[-5,4,-2,-3,1]=>[3,2,5,4,1]=>[2,2,1]
[1,-3,-2,-4,5]=>[5,-4,-2,-3,1]=>[2,3,5,4,1]=>[3,1,1]
[1,-3,-2,-4,-5]=>[-5,-4,-2,-3,1]=>[2,3,5,4,1]=>[3,1,1]
[-1,3,2,4,5]=>[5,4,2,3,-1]=>[4,3,1,2,5]=>[3,1,1]
[-1,3,2,4,-5]=>[-5,4,2,3,-1]=>[4,3,1,2,5]=>[3,1,1]
[-1,3,2,-4,5]=>[5,-4,2,3,-1]=>[3,4,1,2,5]=>[3,2]
[-1,3,2,-4,-5]=>[-5,-4,2,3,-1]=>[3,4,1,2,5]=>[3,2]
[-1,3,-2,4,5]=>[5,4,-2,3,-1]=>[3,2,4,1,5]=>[3,1,1]
[-1,3,-2,4,-5]=>[-5,4,-2,3,-1]=>[3,2,4,1,5]=>[3,1,1]
[-1,3,-2,-4,5]=>[5,-4,-2,3,-1]=>[2,3,4,1,5]=>[4,1]
[-1,3,-2,-4,-5]=>[-5,-4,-2,3,-1]=>[2,3,4,1,5]=>[4,1]
[-1,-3,2,4,5]=>[5,4,2,-3,-1]=>[3,2,1,4,5]=>[3,1,1]
[-1,-3,2,4,-5]=>[-5,4,2,-3,-1]=>[3,2,1,4,5]=>[3,1,1]
[-1,-3,2,-4,5]=>[5,-4,2,-3,-1]=>[2,3,1,4,5]=>[4,1]
[-1,-3,2,-4,-5]=>[-5,-4,2,-3,-1]=>[2,3,1,4,5]=>[4,1]
[-1,-3,-2,4,5]=>[5,4,-2,-3,-1]=>[2,1,4,3,5]=>[3,2]
[-1,-3,-2,4,-5]=>[-5,4,-2,-3,-1]=>[2,1,4,3,5]=>[3,2]
[-1,-3,-2,-4,5]=>[5,-4,-2,-3,-1]=>[1,2,4,3,5]=>[4,1]
[-1,-3,-2,-4,-5]=>[-5,-4,-2,-3,-1]=>[1,2,4,3,5]=>[4,1]
[1,3,2,5,4]=>[4,5,2,3,1]=>[4,5,2,3,1]=>[2,2,1]
[1,3,2,5,-4]=>[-4,5,2,3,1]=>[5,4,2,3,1]=>[2,1,1,1]
[1,3,2,-5,4]=>[4,-5,2,3,1]=>[4,5,2,3,1]=>[2,2,1]
[1,3,2,-5,-4]=>[-4,-5,2,3,1]=>[5,4,2,3,1]=>[2,1,1,1]
[1,3,-2,5,4]=>[4,5,-2,3,1]=>[3,4,5,2,1]=>[3,1,1]
[1,3,-2,5,-4]=>[-4,5,-2,3,1]=>[4,3,5,2,1]=>[2,1,1,1]
[1,3,-2,-5,4]=>[4,-5,-2,3,1]=>[3,4,5,2,1]=>[3,1,1]
[1,3,-2,-5,-4]=>[-4,-5,-2,3,1]=>[4,3,5,2,1]=>[2,1,1,1]
[1,-3,2,5,4]=>[4,5,2,-3,1]=>[3,4,2,5,1]=>[3,1,1]
[1,-3,2,5,-4]=>[-4,5,2,-3,1]=>[4,3,2,5,1]=>[2,1,1,1]
[1,-3,2,-5,4]=>[4,-5,2,-3,1]=>[3,4,2,5,1]=>[3,1,1]
[1,-3,2,-5,-4]=>[-4,-5,2,-3,1]=>[4,3,2,5,1]=>[2,1,1,1]
[1,-3,-2,5,4]=>[4,5,-2,-3,1]=>[2,3,5,4,1]=>[3,1,1]
[1,-3,-2,5,-4]=>[-4,5,-2,-3,1]=>[3,2,5,4,1]=>[2,2,1]
[1,-3,-2,-5,4]=>[4,-5,-2,-3,1]=>[2,3,5,4,1]=>[3,1,1]
[1,-3,-2,-5,-4]=>[-4,-5,-2,-3,1]=>[3,2,5,4,1]=>[2,2,1]
[-1,3,2,5,4]=>[4,5,2,3,-1]=>[3,4,1,2,5]=>[3,2]
[-1,3,2,5,-4]=>[-4,5,2,3,-1]=>[4,3,1,2,5]=>[3,1,1]
[-1,3,2,-5,4]=>[4,-5,2,3,-1]=>[3,4,1,2,5]=>[3,2]
[-1,3,2,-5,-4]=>[-4,-5,2,3,-1]=>[4,3,1,2,5]=>[3,1,1]
[-1,3,-2,5,4]=>[4,5,-2,3,-1]=>[2,3,4,1,5]=>[4,1]
[-1,3,-2,5,-4]=>[-4,5,-2,3,-1]=>[3,2,4,1,5]=>[3,1,1]
[-1,3,-2,-5,4]=>[4,-5,-2,3,-1]=>[2,3,4,1,5]=>[4,1]
[-1,3,-2,-5,-4]=>[-4,-5,-2,3,-1]=>[3,2,4,1,5]=>[3,1,1]
[-1,-3,2,5,4]=>[4,5,2,-3,-1]=>[2,3,1,4,5]=>[4,1]
[-1,-3,2,5,-4]=>[-4,5,2,-3,-1]=>[3,2,1,4,5]=>[3,1,1]
[-1,-3,2,-5,4]=>[4,-5,2,-3,-1]=>[2,3,1,4,5]=>[4,1]
[-1,-3,2,-5,-4]=>[-4,-5,2,-3,-1]=>[3,2,1,4,5]=>[3,1,1]
[-1,-3,-2,5,4]=>[4,5,-2,-3,-1]=>[1,2,4,3,5]=>[4,1]
[-1,-3,-2,5,-4]=>[-4,5,-2,-3,-1]=>[2,1,4,3,5]=>[3,2]
[-1,-3,-2,-5,4]=>[4,-5,-2,-3,-1]=>[1,2,4,3,5]=>[4,1]
[-1,-3,-2,-5,-4]=>[-4,-5,-2,-3,-1]=>[2,1,4,3,5]=>[3,2]
[1,3,4,2,5]=>[5,2,4,3,1]=>[5,2,4,3,1]=>[2,1,1,1]
[1,3,4,2,-5]=>[-5,2,4,3,1]=>[5,2,4,3,1]=>[2,1,1,1]
[1,3,4,-2,5]=>[5,-2,4,3,1]=>[4,5,3,2,1]=>[2,1,1,1]
[1,3,4,-2,-5]=>[-5,-2,4,3,1]=>[4,5,3,2,1]=>[2,1,1,1]
[1,3,-4,2,5]=>[5,2,-4,3,1]=>[4,2,5,3,1]=>[2,2,1]
[1,3,-4,2,-5]=>[-5,2,-4,3,1]=>[4,2,5,3,1]=>[2,2,1]
[1,3,-4,-2,5]=>[5,-2,-4,3,1]=>[3,5,4,2,1]=>[2,1,1,1]
[1,3,-4,-2,-5]=>[-5,-2,-4,3,1]=>[3,5,4,2,1]=>[2,1,1,1]
[1,-3,4,2,5]=>[5,2,4,-3,1]=>[4,2,3,5,1]=>[3,1,1]
[1,-3,4,2,-5]=>[-5,2,4,-3,1]=>[4,2,3,5,1]=>[3,1,1]
[1,-3,4,-2,5]=>[5,-2,4,-3,1]=>[3,5,2,4,1]=>[2,2,1]
[1,-3,4,-2,-5]=>[-5,-2,4,-3,1]=>[3,5,2,4,1]=>[2,2,1]
[1,-3,-4,2,5]=>[5,2,-4,-3,1]=>[3,2,4,5,1]=>[3,1,1]
[1,-3,-4,2,-5]=>[-5,2,-4,-3,1]=>[3,2,4,5,1]=>[3,1,1]
[1,-3,-4,-2,5]=>[5,-2,-4,-3,1]=>[2,5,3,4,1]=>[3,1,1]
[1,-3,-4,-2,-5]=>[-5,-2,-4,-3,1]=>[2,5,3,4,1]=>[3,1,1]
[-1,3,4,2,5]=>[5,2,4,3,-1]=>[4,1,3,2,5]=>[3,1,1]
[-1,3,4,2,-5]=>[-5,2,4,3,-1]=>[4,1,3,2,5]=>[3,1,1]
[-1,3,4,-2,5]=>[5,-2,4,3,-1]=>[3,4,2,1,5]=>[3,1,1]
[-1,3,4,-2,-5]=>[-5,-2,4,3,-1]=>[3,4,2,1,5]=>[3,1,1]
[-1,3,-4,2,5]=>[5,2,-4,3,-1]=>[3,1,4,2,5]=>[3,2]
[-1,3,-4,2,-5]=>[-5,2,-4,3,-1]=>[3,1,4,2,5]=>[3,2]
[-1,3,-4,-2,5]=>[5,-2,-4,3,-1]=>[2,4,3,1,5]=>[3,1,1]
[-1,3,-4,-2,-5]=>[-5,-2,-4,3,-1]=>[2,4,3,1,5]=>[3,1,1]
[-1,-3,4,2,5]=>[5,2,4,-3,-1]=>[3,1,2,4,5]=>[4,1]
[-1,-3,4,2,-5]=>[-5,2,4,-3,-1]=>[3,1,2,4,5]=>[4,1]
[-1,-3,4,-2,5]=>[5,-2,4,-3,-1]=>[2,4,1,3,5]=>[3,2]
[-1,-3,4,-2,-5]=>[-5,-2,4,-3,-1]=>[2,4,1,3,5]=>[3,2]
[-1,-3,-4,2,5]=>[5,2,-4,-3,-1]=>[2,1,3,4,5]=>[4,1]
[-1,-3,-4,2,-5]=>[-5,2,-4,-3,-1]=>[2,1,3,4,5]=>[4,1]
[-1,-3,-4,-2,5]=>[5,-2,-4,-3,-1]=>[1,4,2,3,5]=>[4,1]
[-1,-3,-4,-2,-5]=>[-5,-2,-4,-3,-1]=>[1,4,2,3,5]=>[4,1]
[1,3,4,5,2]=>[2,5,4,3,1]=>[2,5,4,3,1]=>[2,1,1,1]
[1,3,4,5,-2]=>[-2,5,4,3,1]=>[5,4,3,2,1]=>[1,1,1,1,1]
[1,3,4,-5,2]=>[2,-5,4,3,1]=>[2,5,4,3,1]=>[2,1,1,1]
[1,3,4,-5,-2]=>[-2,-5,4,3,1]=>[5,4,3,2,1]=>[1,1,1,1,1]
[1,3,-4,5,2]=>[2,5,-4,3,1]=>[2,4,5,3,1]=>[3,1,1]
[1,3,-4,5,-2]=>[-2,5,-4,3,1]=>[5,3,4,2,1]=>[2,1,1,1]
[1,3,-4,-5,2]=>[2,-5,-4,3,1]=>[2,4,5,3,1]=>[3,1,1]
[1,3,-4,-5,-2]=>[-2,-5,-4,3,1]=>[5,3,4,2,1]=>[2,1,1,1]
[1,-3,4,5,2]=>[2,5,4,-3,1]=>[2,4,3,5,1]=>[3,1,1]
[1,-3,4,5,-2]=>[-2,5,4,-3,1]=>[5,3,2,4,1]=>[2,1,1,1]
[1,-3,4,-5,2]=>[2,-5,4,-3,1]=>[2,4,3,5,1]=>[3,1,1]
[1,-3,4,-5,-2]=>[-2,-5,4,-3,1]=>[5,3,2,4,1]=>[2,1,1,1]
[1,-3,-4,5,2]=>[2,5,-4,-3,1]=>[2,3,4,5,1]=>[4,1]
[1,-3,-4,5,-2]=>[-2,5,-4,-3,1]=>[5,2,3,4,1]=>[3,1,1]
[1,-3,-4,-5,2]=>[2,-5,-4,-3,1]=>[2,3,4,5,1]=>[4,1]
[1,-3,-4,-5,-2]=>[-2,-5,-4,-3,1]=>[5,2,3,4,1]=>[3,1,1]
[-1,3,4,5,2]=>[2,5,4,3,-1]=>[1,4,3,2,5]=>[3,1,1]
[-1,3,4,5,-2]=>[-2,5,4,3,-1]=>[4,3,2,1,5]=>[2,1,1,1]
[-1,3,4,-5,2]=>[2,-5,4,3,-1]=>[1,4,3,2,5]=>[3,1,1]
[-1,3,4,-5,-2]=>[-2,-5,4,3,-1]=>[4,3,2,1,5]=>[2,1,1,1]
[-1,3,-4,5,2]=>[2,5,-4,3,-1]=>[1,3,4,2,5]=>[4,1]
[-1,3,-4,5,-2]=>[-2,5,-4,3,-1]=>[4,2,3,1,5]=>[3,1,1]
[-1,3,-4,-5,2]=>[2,-5,-4,3,-1]=>[1,3,4,2,5]=>[4,1]
[-1,3,-4,-5,-2]=>[-2,-5,-4,3,-1]=>[4,2,3,1,5]=>[3,1,1]
[-1,-3,4,5,2]=>[2,5,4,-3,-1]=>[1,3,2,4,5]=>[4,1]
[-1,-3,4,5,-2]=>[-2,5,4,-3,-1]=>[4,2,1,3,5]=>[3,1,1]
[-1,-3,4,-5,2]=>[2,-5,4,-3,-1]=>[1,3,2,4,5]=>[4,1]
[-1,-3,4,-5,-2]=>[-2,-5,4,-3,-1]=>[4,2,1,3,5]=>[3,1,1]
[-1,-3,-4,5,2]=>[2,5,-4,-3,-1]=>[1,2,3,4,5]=>[5]
[-1,-3,-4,5,-2]=>[-2,5,-4,-3,-1]=>[4,1,2,3,5]=>[4,1]
[-1,-3,-4,-5,2]=>[2,-5,-4,-3,-1]=>[1,2,3,4,5]=>[5]
[-1,-3,-4,-5,-2]=>[-2,-5,-4,-3,-1]=>[4,1,2,3,5]=>[4,1]
[1,3,5,2,4]=>[4,2,5,3,1]=>[4,2,5,3,1]=>[2,2,1]
[1,3,5,2,-4]=>[-4,2,5,3,1]=>[5,2,4,3,1]=>[2,1,1,1]
[1,3,5,-2,4]=>[4,-2,5,3,1]=>[3,5,4,2,1]=>[2,1,1,1]
[1,3,5,-2,-4]=>[-4,-2,5,3,1]=>[4,5,3,2,1]=>[2,1,1,1]
[1,3,-5,2,4]=>[4,2,-5,3,1]=>[4,2,5,3,1]=>[2,2,1]
[1,3,-5,2,-4]=>[-4,2,-5,3,1]=>[5,2,4,3,1]=>[2,1,1,1]
[1,3,-5,-2,4]=>[4,-2,-5,3,1]=>[3,5,4,2,1]=>[2,1,1,1]
[1,3,-5,-2,-4]=>[-4,-2,-5,3,1]=>[4,5,3,2,1]=>[2,1,1,1]
[1,-3,5,2,4]=>[4,2,5,-3,1]=>[3,2,4,5,1]=>[3,1,1]
[1,-3,5,2,-4]=>[-4,2,5,-3,1]=>[4,2,3,5,1]=>[3,1,1]
[1,-3,5,-2,4]=>[4,-2,5,-3,1]=>[2,5,3,4,1]=>[3,1,1]
[1,-3,5,-2,-4]=>[-4,-2,5,-3,1]=>[3,5,2,4,1]=>[2,2,1]
[1,-3,-5,2,4]=>[4,2,-5,-3,1]=>[3,2,4,5,1]=>[3,1,1]
[1,-3,-5,2,-4]=>[-4,2,-5,-3,1]=>[4,2,3,5,1]=>[3,1,1]
[1,-3,-5,-2,4]=>[4,-2,-5,-3,1]=>[2,5,3,4,1]=>[3,1,1]
[1,-3,-5,-2,-4]=>[-4,-2,-5,-3,1]=>[3,5,2,4,1]=>[2,2,1]
[-1,3,5,2,4]=>[4,2,5,3,-1]=>[3,1,4,2,5]=>[3,2]
[-1,3,5,2,-4]=>[-4,2,5,3,-1]=>[4,1,3,2,5]=>[3,1,1]
[-1,3,5,-2,4]=>[4,-2,5,3,-1]=>[2,4,3,1,5]=>[3,1,1]
[-1,3,5,-2,-4]=>[-4,-2,5,3,-1]=>[3,4,2,1,5]=>[3,1,1]
[-1,3,-5,2,4]=>[4,2,-5,3,-1]=>[3,1,4,2,5]=>[3,2]
[-1,3,-5,2,-4]=>[-4,2,-5,3,-1]=>[4,1,3,2,5]=>[3,1,1]
[-1,3,-5,-2,4]=>[4,-2,-5,3,-1]=>[2,4,3,1,5]=>[3,1,1]
[-1,3,-5,-2,-4]=>[-4,-2,-5,3,-1]=>[3,4,2,1,5]=>[3,1,1]
[-1,-3,5,2,4]=>[4,2,5,-3,-1]=>[2,1,3,4,5]=>[4,1]
[-1,-3,5,2,-4]=>[-4,2,5,-3,-1]=>[3,1,2,4,5]=>[4,1]
[-1,-3,5,-2,4]=>[4,-2,5,-3,-1]=>[1,4,2,3,5]=>[4,1]
[-1,-3,5,-2,-4]=>[-4,-2,5,-3,-1]=>[2,4,1,3,5]=>[3,2]
[-1,-3,-5,2,4]=>[4,2,-5,-3,-1]=>[2,1,3,4,5]=>[4,1]
[-1,-3,-5,2,-4]=>[-4,2,-5,-3,-1]=>[3,1,2,4,5]=>[4,1]
[-1,-3,-5,-2,4]=>[4,-2,-5,-3,-1]=>[1,4,2,3,5]=>[4,1]
[-1,-3,-5,-2,-4]=>[-4,-2,-5,-3,-1]=>[2,4,1,3,5]=>[3,2]
[1,3,5,4,2]=>[2,4,5,3,1]=>[2,4,5,3,1]=>[3,1,1]
[1,3,5,4,-2]=>[-2,4,5,3,1]=>[5,3,4,2,1]=>[2,1,1,1]
[1,3,5,-4,2]=>[2,-4,5,3,1]=>[2,5,4,3,1]=>[2,1,1,1]
[1,3,5,-4,-2]=>[-2,-4,5,3,1]=>[5,4,3,2,1]=>[1,1,1,1,1]
[1,3,-5,4,2]=>[2,4,-5,3,1]=>[2,4,5,3,1]=>[3,1,1]
[1,3,-5,4,-2]=>[-2,4,-5,3,1]=>[5,3,4,2,1]=>[2,1,1,1]
[1,3,-5,-4,2]=>[2,-4,-5,3,1]=>[2,5,4,3,1]=>[2,1,1,1]
[1,3,-5,-4,-2]=>[-2,-4,-5,3,1]=>[5,4,3,2,1]=>[1,1,1,1,1]
[1,-3,5,4,2]=>[2,4,5,-3,1]=>[2,3,4,5,1]=>[4,1]
[1,-3,5,4,-2]=>[-2,4,5,-3,1]=>[5,2,3,4,1]=>[3,1,1]
[1,-3,5,-4,2]=>[2,-4,5,-3,1]=>[2,4,3,5,1]=>[3,1,1]
[1,-3,5,-4,-2]=>[-2,-4,5,-3,1]=>[5,3,2,4,1]=>[2,1,1,1]
[1,-3,-5,4,2]=>[2,4,-5,-3,1]=>[2,3,4,5,1]=>[4,1]
[1,-3,-5,4,-2]=>[-2,4,-5,-3,1]=>[5,2,3,4,1]=>[3,1,1]
[1,-3,-5,-4,2]=>[2,-4,-5,-3,1]=>[2,4,3,5,1]=>[3,1,1]
[1,-3,-5,-4,-2]=>[-2,-4,-5,-3,1]=>[5,3,2,4,1]=>[2,1,1,1]
[-1,3,5,4,2]=>[2,4,5,3,-1]=>[1,3,4,2,5]=>[4,1]
[-1,3,5,4,-2]=>[-2,4,5,3,-1]=>[4,2,3,1,5]=>[3,1,1]
[-1,3,5,-4,2]=>[2,-4,5,3,-1]=>[1,4,3,2,5]=>[3,1,1]
[-1,3,5,-4,-2]=>[-2,-4,5,3,-1]=>[4,3,2,1,5]=>[2,1,1,1]
[-1,3,-5,4,2]=>[2,4,-5,3,-1]=>[1,3,4,2,5]=>[4,1]
[-1,3,-5,4,-2]=>[-2,4,-5,3,-1]=>[4,2,3,1,5]=>[3,1,1]
[-1,3,-5,-4,2]=>[2,-4,-5,3,-1]=>[1,4,3,2,5]=>[3,1,1]
[-1,3,-5,-4,-2]=>[-2,-4,-5,3,-1]=>[4,3,2,1,5]=>[2,1,1,1]
[-1,-3,5,4,2]=>[2,4,5,-3,-1]=>[1,2,3,4,5]=>[5]
[-1,-3,5,4,-2]=>[-2,4,5,-3,-1]=>[4,1,2,3,5]=>[4,1]
[-1,-3,5,-4,2]=>[2,-4,5,-3,-1]=>[1,3,2,4,5]=>[4,1]
[-1,-3,5,-4,-2]=>[-2,-4,5,-3,-1]=>[4,2,1,3,5]=>[3,1,1]
[-1,-3,-5,4,2]=>[2,4,-5,-3,-1]=>[1,2,3,4,5]=>[5]
[-1,-3,-5,4,-2]=>[-2,4,-5,-3,-1]=>[4,1,2,3,5]=>[4,1]
[-1,-3,-5,-4,2]=>[2,-4,-5,-3,-1]=>[1,3,2,4,5]=>[4,1]
[-1,-3,-5,-4,-2]=>[-2,-4,-5,-3,-1]=>[4,2,1,3,5]=>[3,1,1]
[1,4,2,3,5]=>[5,3,2,4,1]=>[5,3,2,4,1]=>[2,1,1,1]
[1,4,2,3,-5]=>[-5,3,2,4,1]=>[5,3,2,4,1]=>[2,1,1,1]
[1,4,2,-3,5]=>[5,-3,2,4,1]=>[4,5,2,3,1]=>[2,2,1]
[1,4,2,-3,-5]=>[-5,-3,2,4,1]=>[4,5,2,3,1]=>[2,2,1]
[1,4,-2,3,5]=>[5,3,-2,4,1]=>[4,2,5,3,1]=>[2,2,1]
[1,4,-2,3,-5]=>[-5,3,-2,4,1]=>[4,2,5,3,1]=>[2,2,1]
[1,4,-2,-3,5]=>[5,-3,-2,4,1]=>[3,4,5,2,1]=>[3,1,1]
[1,4,-2,-3,-5]=>[-5,-3,-2,4,1]=>[3,4,5,2,1]=>[3,1,1]
[1,-4,2,3,5]=>[5,3,2,-4,1]=>[4,3,2,5,1]=>[2,1,1,1]
[1,-4,2,3,-5]=>[-5,3,2,-4,1]=>[4,3,2,5,1]=>[2,1,1,1]
[1,-4,2,-3,5]=>[5,-3,2,-4,1]=>[3,5,2,4,1]=>[2,2,1]
[1,-4,2,-3,-5]=>[-5,-3,2,-4,1]=>[3,5,2,4,1]=>[2,2,1]
[1,-4,-2,3,5]=>[5,3,-2,-4,1]=>[3,2,5,4,1]=>[2,2,1]
[1,-4,-2,3,-5]=>[-5,3,-2,-4,1]=>[3,2,5,4,1]=>[2,2,1]
[1,-4,-2,-3,5]=>[5,-3,-2,-4,1]=>[2,4,5,3,1]=>[3,1,1]
[1,-4,-2,-3,-5]=>[-5,-3,-2,-4,1]=>[2,4,5,3,1]=>[3,1,1]
[-1,4,2,3,5]=>[5,3,2,4,-1]=>[4,2,1,3,5]=>[3,1,1]
[-1,4,2,3,-5]=>[-5,3,2,4,-1]=>[4,2,1,3,5]=>[3,1,1]
[-1,4,2,-3,5]=>[5,-3,2,4,-1]=>[3,4,1,2,5]=>[3,2]
[-1,4,2,-3,-5]=>[-5,-3,2,4,-1]=>[3,4,1,2,5]=>[3,2]
[-1,4,-2,3,5]=>[5,3,-2,4,-1]=>[3,1,4,2,5]=>[3,2]
[-1,4,-2,3,-5]=>[-5,3,-2,4,-1]=>[3,1,4,2,5]=>[3,2]
[-1,4,-2,-3,5]=>[5,-3,-2,4,-1]=>[2,3,4,1,5]=>[4,1]
[-1,4,-2,-3,-5]=>[-5,-3,-2,4,-1]=>[2,3,4,1,5]=>[4,1]
[-1,-4,2,3,5]=>[5,3,2,-4,-1]=>[3,2,1,4,5]=>[3,1,1]
[-1,-4,2,3,-5]=>[-5,3,2,-4,-1]=>[3,2,1,4,5]=>[3,1,1]
[-1,-4,2,-3,5]=>[5,-3,2,-4,-1]=>[2,4,1,3,5]=>[3,2]
[-1,-4,2,-3,-5]=>[-5,-3,2,-4,-1]=>[2,4,1,3,5]=>[3,2]
[-1,-4,-2,3,5]=>[5,3,-2,-4,-1]=>[2,1,4,3,5]=>[3,2]
[-1,-4,-2,3,-5]=>[-5,3,-2,-4,-1]=>[2,1,4,3,5]=>[3,2]
[-1,-4,-2,-3,5]=>[5,-3,-2,-4,-1]=>[1,3,4,2,5]=>[4,1]
[-1,-4,-2,-3,-5]=>[-5,-3,-2,-4,-1]=>[1,3,4,2,5]=>[4,1]
[1,4,2,5,3]=>[3,5,2,4,1]=>[3,5,2,4,1]=>[2,2,1]
[1,4,2,5,-3]=>[-3,5,2,4,1]=>[5,4,2,3,1]=>[2,1,1,1]
[1,4,2,-5,3]=>[3,-5,2,4,1]=>[3,5,2,4,1]=>[2,2,1]
[1,4,2,-5,-3]=>[-3,-5,2,4,1]=>[5,4,2,3,1]=>[2,1,1,1]
[1,4,-2,5,3]=>[3,5,-2,4,1]=>[2,4,5,3,1]=>[3,1,1]
[1,4,-2,5,-3]=>[-3,5,-2,4,1]=>[4,3,5,2,1]=>[2,1,1,1]
[1,4,-2,-5,3]=>[3,-5,-2,4,1]=>[2,4,5,3,1]=>[3,1,1]
[1,4,-2,-5,-3]=>[-3,-5,-2,4,1]=>[4,3,5,2,1]=>[2,1,1,1]
[1,-4,2,5,3]=>[3,5,2,-4,1]=>[3,4,2,5,1]=>[3,1,1]
[1,-4,2,5,-3]=>[-3,5,2,-4,1]=>[5,3,2,4,1]=>[2,1,1,1]
[1,-4,2,-5,3]=>[3,-5,2,-4,1]=>[3,4,2,5,1]=>[3,1,1]
[1,-4,2,-5,-3]=>[-3,-5,2,-4,1]=>[5,3,2,4,1]=>[2,1,1,1]
[1,-4,-2,5,3]=>[3,5,-2,-4,1]=>[2,3,5,4,1]=>[3,1,1]
[1,-4,-2,5,-3]=>[-3,5,-2,-4,1]=>[4,2,5,3,1]=>[2,2,1]
[1,-4,-2,-5,3]=>[3,-5,-2,-4,1]=>[2,3,5,4,1]=>[3,1,1]
[1,-4,-2,-5,-3]=>[-3,-5,-2,-4,1]=>[4,2,5,3,1]=>[2,2,1]
[-1,4,2,5,3]=>[3,5,2,4,-1]=>[2,4,1,3,5]=>[3,2]
[-1,4,2,5,-3]=>[-3,5,2,4,-1]=>[4,3,1,2,5]=>[3,1,1]
[-1,4,2,-5,3]=>[3,-5,2,4,-1]=>[2,4,1,3,5]=>[3,2]
[-1,4,2,-5,-3]=>[-3,-5,2,4,-1]=>[4,3,1,2,5]=>[3,1,1]
[-1,4,-2,5,3]=>[3,5,-2,4,-1]=>[1,3,4,2,5]=>[4,1]
[-1,4,-2,5,-3]=>[-3,5,-2,4,-1]=>[3,2,4,1,5]=>[3,1,1]
[-1,4,-2,-5,3]=>[3,-5,-2,4,-1]=>[1,3,4,2,5]=>[4,1]
[-1,4,-2,-5,-3]=>[-3,-5,-2,4,-1]=>[3,2,4,1,5]=>[3,1,1]
[-1,-4,2,5,3]=>[3,5,2,-4,-1]=>[2,3,1,4,5]=>[4,1]
[-1,-4,2,5,-3]=>[-3,5,2,-4,-1]=>[4,2,1,3,5]=>[3,1,1]
[-1,-4,2,-5,3]=>[3,-5,2,-4,-1]=>[2,3,1,4,5]=>[4,1]
[-1,-4,2,-5,-3]=>[-3,-5,2,-4,-1]=>[4,2,1,3,5]=>[3,1,1]
[-1,-4,-2,5,3]=>[3,5,-2,-4,-1]=>[1,2,4,3,5]=>[4,1]
[-1,-4,-2,5,-3]=>[-3,5,-2,-4,-1]=>[3,1,4,2,5]=>[3,2]
[-1,-4,-2,-5,3]=>[3,-5,-2,-4,-1]=>[1,2,4,3,5]=>[4,1]
[-1,-4,-2,-5,-3]=>[-3,-5,-2,-4,-1]=>[3,1,4,2,5]=>[3,2]
[1,4,3,2,5]=>[5,2,3,4,1]=>[5,2,3,4,1]=>[3,1,1]
[1,4,3,2,-5]=>[-5,2,3,4,1]=>[5,2,3,4,1]=>[3,1,1]
[1,4,3,-2,5]=>[5,-2,3,4,1]=>[4,5,2,3,1]=>[2,2,1]
[1,4,3,-2,-5]=>[-5,-2,3,4,1]=>[4,5,2,3,1]=>[2,2,1]
[1,4,-3,2,5]=>[5,2,-3,4,1]=>[4,2,5,3,1]=>[2,2,1]
[1,4,-3,2,-5]=>[-5,2,-3,4,1]=>[4,2,5,3,1]=>[2,2,1]
[1,4,-3,-2,5]=>[5,-2,-3,4,1]=>[3,5,4,2,1]=>[2,1,1,1]
[1,4,-3,-2,-5]=>[-5,-2,-3,4,1]=>[3,5,4,2,1]=>[2,1,1,1]
[1,-4,3,2,5]=>[5,2,3,-4,1]=>[4,2,3,5,1]=>[3,1,1]
[1,-4,3,2,-5]=>[-5,2,3,-4,1]=>[4,2,3,5,1]=>[3,1,1]
[1,-4,3,-2,5]=>[5,-2,3,-4,1]=>[3,5,2,4,1]=>[2,2,1]
[1,-4,3,-2,-5]=>[-5,-2,3,-4,1]=>[3,5,2,4,1]=>[2,2,1]
[1,-4,-3,2,5]=>[5,2,-3,-4,1]=>[3,2,5,4,1]=>[2,2,1]
[1,-4,-3,2,-5]=>[-5,2,-3,-4,1]=>[3,2,5,4,1]=>[2,2,1]
[1,-4,-3,-2,5]=>[5,-2,-3,-4,1]=>[2,5,4,3,1]=>[2,1,1,1]
[1,-4,-3,-2,-5]=>[-5,-2,-3,-4,1]=>[2,5,4,3,1]=>[2,1,1,1]
[-1,4,3,2,5]=>[5,2,3,4,-1]=>[4,1,2,3,5]=>[4,1]
[-1,4,3,2,-5]=>[-5,2,3,4,-1]=>[4,1,2,3,5]=>[4,1]
[-1,4,3,-2,5]=>[5,-2,3,4,-1]=>[3,4,1,2,5]=>[3,2]
[-1,4,3,-2,-5]=>[-5,-2,3,4,-1]=>[3,4,1,2,5]=>[3,2]
[-1,4,-3,2,5]=>[5,2,-3,4,-1]=>[3,1,4,2,5]=>[3,2]
[-1,4,-3,2,-5]=>[-5,2,-3,4,-1]=>[3,1,4,2,5]=>[3,2]
[-1,4,-3,-2,5]=>[5,-2,-3,4,-1]=>[2,4,3,1,5]=>[3,1,1]
[-1,4,-3,-2,-5]=>[-5,-2,-3,4,-1]=>[2,4,3,1,5]=>[3,1,1]
[-1,-4,3,2,5]=>[5,2,3,-4,-1]=>[3,1,2,4,5]=>[4,1]
[-1,-4,3,2,-5]=>[-5,2,3,-4,-1]=>[3,1,2,4,5]=>[4,1]
[-1,-4,3,-2,5]=>[5,-2,3,-4,-1]=>[2,4,1,3,5]=>[3,2]
[-1,-4,3,-2,-5]=>[-5,-2,3,-4,-1]=>[2,4,1,3,5]=>[3,2]
[-1,-4,-3,2,5]=>[5,2,-3,-4,-1]=>[2,1,4,3,5]=>[3,2]
[-1,-4,-3,2,-5]=>[-5,2,-3,-4,-1]=>[2,1,4,3,5]=>[3,2]
[-1,-4,-3,-2,5]=>[5,-2,-3,-4,-1]=>[1,4,3,2,5]=>[3,1,1]
[-1,-4,-3,-2,-5]=>[-5,-2,-3,-4,-1]=>[1,4,3,2,5]=>[3,1,1]
[1,4,3,5,2]=>[2,5,3,4,1]=>[2,5,3,4,1]=>[3,1,1]
[1,4,3,5,-2]=>[-2,5,3,4,1]=>[5,4,2,3,1]=>[2,1,1,1]
[1,4,3,-5,2]=>[2,-5,3,4,1]=>[2,5,3,4,1]=>[3,1,1]
[1,4,3,-5,-2]=>[-2,-5,3,4,1]=>[5,4,2,3,1]=>[2,1,1,1]
[1,4,-3,5,2]=>[2,5,-3,4,1]=>[2,4,5,3,1]=>[3,1,1]
[1,4,-3,5,-2]=>[-2,5,-3,4,1]=>[5,3,4,2,1]=>[2,1,1,1]
[1,4,-3,-5,2]=>[2,-5,-3,4,1]=>[2,4,5,3,1]=>[3,1,1]
[1,4,-3,-5,-2]=>[-2,-5,-3,4,1]=>[5,3,4,2,1]=>[2,1,1,1]
[1,-4,3,5,2]=>[2,5,3,-4,1]=>[2,4,3,5,1]=>[3,1,1]
[1,-4,3,5,-2]=>[-2,5,3,-4,1]=>[5,3,2,4,1]=>[2,1,1,1]
[1,-4,3,-5,2]=>[2,-5,3,-4,1]=>[2,4,3,5,1]=>[3,1,1]
[1,-4,3,-5,-2]=>[-2,-5,3,-4,1]=>[5,3,2,4,1]=>[2,1,1,1]
[1,-4,-3,5,2]=>[2,5,-3,-4,1]=>[2,3,5,4,1]=>[3,1,1]
[1,-4,-3,5,-2]=>[-2,5,-3,-4,1]=>[5,2,4,3,1]=>[2,1,1,1]
[1,-4,-3,-5,2]=>[2,-5,-3,-4,1]=>[2,3,5,4,1]=>[3,1,1]
[1,-4,-3,-5,-2]=>[-2,-5,-3,-4,1]=>[5,2,4,3,1]=>[2,1,1,1]
[-1,4,3,5,2]=>[2,5,3,4,-1]=>[1,4,2,3,5]=>[4,1]
[-1,4,3,5,-2]=>[-2,5,3,4,-1]=>[4,3,1,2,5]=>[3,1,1]
[-1,4,3,-5,2]=>[2,-5,3,4,-1]=>[1,4,2,3,5]=>[4,1]
[-1,4,3,-5,-2]=>[-2,-5,3,4,-1]=>[4,3,1,2,5]=>[3,1,1]
[-1,4,-3,5,2]=>[2,5,-3,4,-1]=>[1,3,4,2,5]=>[4,1]
[-1,4,-3,5,-2]=>[-2,5,-3,4,-1]=>[4,2,3,1,5]=>[3,1,1]
[-1,4,-3,-5,2]=>[2,-5,-3,4,-1]=>[1,3,4,2,5]=>[4,1]
[-1,4,-3,-5,-2]=>[-2,-5,-3,4,-1]=>[4,2,3,1,5]=>[3,1,1]
[-1,-4,3,5,2]=>[2,5,3,-4,-1]=>[1,3,2,4,5]=>[4,1]
[-1,-4,3,5,-2]=>[-2,5,3,-4,-1]=>[4,2,1,3,5]=>[3,1,1]
[-1,-4,3,-5,2]=>[2,-5,3,-4,-1]=>[1,3,2,4,5]=>[4,1]
[-1,-4,3,-5,-2]=>[-2,-5,3,-4,-1]=>[4,2,1,3,5]=>[3,1,1]
[-1,-4,-3,5,2]=>[2,5,-3,-4,-1]=>[1,2,4,3,5]=>[4,1]
[-1,-4,-3,5,-2]=>[-2,5,-3,-4,-1]=>[4,1,3,2,5]=>[3,1,1]
[-1,-4,-3,-5,2]=>[2,-5,-3,-4,-1]=>[1,2,4,3,5]=>[4,1]
[-1,-4,-3,-5,-2]=>[-2,-5,-3,-4,-1]=>[4,1,3,2,5]=>[3,1,1]
[1,4,5,2,3]=>[3,2,5,4,1]=>[3,2,5,4,1]=>[2,2,1]
[1,4,5,2,-3]=>[-3,2,5,4,1]=>[5,2,4,3,1]=>[2,1,1,1]
[1,4,5,-2,3]=>[3,-2,5,4,1]=>[2,5,4,3,1]=>[2,1,1,1]
[1,4,5,-2,-3]=>[-3,-2,5,4,1]=>[4,5,3,2,1]=>[2,1,1,1]
[1,4,-5,2,3]=>[3,2,-5,4,1]=>[3,2,5,4,1]=>[2,2,1]
[1,4,-5,2,-3]=>[-3,2,-5,4,1]=>[5,2,4,3,1]=>[2,1,1,1]
[1,4,-5,-2,3]=>[3,-2,-5,4,1]=>[2,5,4,3,1]=>[2,1,1,1]
[1,4,-5,-2,-3]=>[-3,-2,-5,4,1]=>[4,5,3,2,1]=>[2,1,1,1]
[1,-4,5,2,3]=>[3,2,5,-4,1]=>[3,2,4,5,1]=>[3,1,1]
[1,-4,5,2,-3]=>[-3,2,5,-4,1]=>[5,2,3,4,1]=>[3,1,1]
[1,-4,5,-2,3]=>[3,-2,5,-4,1]=>[2,5,3,4,1]=>[3,1,1]
[1,-4,5,-2,-3]=>[-3,-2,5,-4,1]=>[4,5,2,3,1]=>[2,2,1]
[1,-4,-5,2,3]=>[3,2,-5,-4,1]=>[3,2,4,5,1]=>[3,1,1]
[1,-4,-5,2,-3]=>[-3,2,-5,-4,1]=>[5,2,3,4,1]=>[3,1,1]
[1,-4,-5,-2,3]=>[3,-2,-5,-4,1]=>[2,5,3,4,1]=>[3,1,1]
[1,-4,-5,-2,-3]=>[-3,-2,-5,-4,1]=>[4,5,2,3,1]=>[2,2,1]
[-1,4,5,2,3]=>[3,2,5,4,-1]=>[2,1,4,3,5]=>[3,2]
[-1,4,5,2,-3]=>[-3,2,5,4,-1]=>[4,1,3,2,5]=>[3,1,1]
[-1,4,5,-2,3]=>[3,-2,5,4,-1]=>[1,4,3,2,5]=>[3,1,1]
[-1,4,5,-2,-3]=>[-3,-2,5,4,-1]=>[3,4,2,1,5]=>[3,1,1]
[-1,4,-5,2,3]=>[3,2,-5,4,-1]=>[2,1,4,3,5]=>[3,2]
[-1,4,-5,2,-3]=>[-3,2,-5,4,-1]=>[4,1,3,2,5]=>[3,1,1]
[-1,4,-5,-2,3]=>[3,-2,-5,4,-1]=>[1,4,3,2,5]=>[3,1,1]
[-1,4,-5,-2,-3]=>[-3,-2,-5,4,-1]=>[3,4,2,1,5]=>[3,1,1]
[-1,-4,5,2,3]=>[3,2,5,-4,-1]=>[2,1,3,4,5]=>[4,1]
[-1,-4,5,2,-3]=>[-3,2,5,-4,-1]=>[4,1,2,3,5]=>[4,1]
[-1,-4,5,-2,3]=>[3,-2,5,-4,-1]=>[1,4,2,3,5]=>[4,1]
[-1,-4,5,-2,-3]=>[-3,-2,5,-4,-1]=>[3,4,1,2,5]=>[3,2]
[-1,-4,-5,2,3]=>[3,2,-5,-4,-1]=>[2,1,3,4,5]=>[4,1]
[-1,-4,-5,2,-3]=>[-3,2,-5,-4,-1]=>[4,1,2,3,5]=>[4,1]
[-1,-4,-5,-2,3]=>[3,-2,-5,-4,-1]=>[1,4,2,3,5]=>[4,1]
[-1,-4,-5,-2,-3]=>[-3,-2,-5,-4,-1]=>[3,4,1,2,5]=>[3,2]
[1,4,5,3,2]=>[2,3,5,4,1]=>[2,3,5,4,1]=>[3,1,1]
[1,4,5,3,-2]=>[-2,3,5,4,1]=>[5,2,4,3,1]=>[2,1,1,1]
[1,4,5,-3,2]=>[2,-3,5,4,1]=>[2,5,4,3,1]=>[2,1,1,1]
[1,4,5,-3,-2]=>[-2,-3,5,4,1]=>[5,4,3,2,1]=>[1,1,1,1,1]
[1,4,-5,3,2]=>[2,3,-5,4,1]=>[2,3,5,4,1]=>[3,1,1]
[1,4,-5,3,-2]=>[-2,3,-5,4,1]=>[5,2,4,3,1]=>[2,1,1,1]
[1,4,-5,-3,2]=>[2,-3,-5,4,1]=>[2,5,4,3,1]=>[2,1,1,1]
[1,4,-5,-3,-2]=>[-2,-3,-5,4,1]=>[5,4,3,2,1]=>[1,1,1,1,1]
[1,-4,5,3,2]=>[2,3,5,-4,1]=>[2,3,4,5,1]=>[4,1]
[1,-4,5,3,-2]=>[-2,3,5,-4,1]=>[5,2,3,4,1]=>[3,1,1]
[1,-4,5,-3,2]=>[2,-3,5,-4,1]=>[2,5,3,4,1]=>[3,1,1]
[1,-4,5,-3,-2]=>[-2,-3,5,-4,1]=>[5,4,2,3,1]=>[2,1,1,1]
[1,-4,-5,3,2]=>[2,3,-5,-4,1]=>[2,3,4,5,1]=>[4,1]
[1,-4,-5,3,-2]=>[-2,3,-5,-4,1]=>[5,2,3,4,1]=>[3,1,1]
[1,-4,-5,-3,2]=>[2,-3,-5,-4,1]=>[2,5,3,4,1]=>[3,1,1]
[1,-4,-5,-3,-2]=>[-2,-3,-5,-4,1]=>[5,4,2,3,1]=>[2,1,1,1]
[-1,4,5,3,2]=>[2,3,5,4,-1]=>[1,2,4,3,5]=>[4,1]
[-1,4,5,3,-2]=>[-2,3,5,4,-1]=>[4,1,3,2,5]=>[3,1,1]
[-1,4,5,-3,2]=>[2,-3,5,4,-1]=>[1,4,3,2,5]=>[3,1,1]
[-1,4,5,-3,-2]=>[-2,-3,5,4,-1]=>[4,3,2,1,5]=>[2,1,1,1]
[-1,4,-5,3,2]=>[2,3,-5,4,-1]=>[1,2,4,3,5]=>[4,1]
[-1,4,-5,3,-2]=>[-2,3,-5,4,-1]=>[4,1,3,2,5]=>[3,1,1]
[-1,4,-5,-3,2]=>[2,-3,-5,4,-1]=>[1,4,3,2,5]=>[3,1,1]
[-1,4,-5,-3,-2]=>[-2,-3,-5,4,-1]=>[4,3,2,1,5]=>[2,1,1,1]
[-1,-4,5,3,2]=>[2,3,5,-4,-1]=>[1,2,3,4,5]=>[5]
[-1,-4,5,3,-2]=>[-2,3,5,-4,-1]=>[4,1,2,3,5]=>[4,1]
[-1,-4,5,-3,2]=>[2,-3,5,-4,-1]=>[1,4,2,3,5]=>[4,1]
[-1,-4,5,-3,-2]=>[-2,-3,5,-4,-1]=>[4,3,1,2,5]=>[3,1,1]
[-1,-4,-5,3,2]=>[2,3,-5,-4,-1]=>[1,2,3,4,5]=>[5]
[-1,-4,-5,3,-2]=>[-2,3,-5,-4,-1]=>[4,1,2,3,5]=>[4,1]
[-1,-4,-5,-3,2]=>[2,-3,-5,-4,-1]=>[1,4,2,3,5]=>[4,1]
[-1,-4,-5,-3,-2]=>[-2,-3,-5,-4,-1]=>[4,3,1,2,5]=>[3,1,1]
[1,5,2,3,4]=>[4,3,2,5,1]=>[4,3,2,5,1]=>[2,1,1,1]
[1,5,2,3,-4]=>[-4,3,2,5,1]=>[5,3,2,4,1]=>[2,1,1,1]
[1,5,2,-3,4]=>[4,-3,2,5,1]=>[3,5,2,4,1]=>[2,2,1]
[1,5,2,-3,-4]=>[-4,-3,2,5,1]=>[4,5,2,3,1]=>[2,2,1]
[1,5,-2,3,4]=>[4,3,-2,5,1]=>[3,2,5,4,1]=>[2,2,1]
[1,5,-2,3,-4]=>[-4,3,-2,5,1]=>[4,2,5,3,1]=>[2,2,1]
[1,5,-2,-3,4]=>[4,-3,-2,5,1]=>[2,4,5,3,1]=>[3,1,1]
[1,5,-2,-3,-4]=>[-4,-3,-2,5,1]=>[3,4,5,2,1]=>[3,1,1]
[1,-5,2,3,4]=>[4,3,2,-5,1]=>[4,3,2,5,1]=>[2,1,1,1]
[1,-5,2,3,-4]=>[-4,3,2,-5,1]=>[5,3,2,4,1]=>[2,1,1,1]
[1,-5,2,-3,4]=>[4,-3,2,-5,1]=>[3,5,2,4,1]=>[2,2,1]
[1,-5,2,-3,-4]=>[-4,-3,2,-5,1]=>[4,5,2,3,1]=>[2,2,1]
[1,-5,-2,3,4]=>[4,3,-2,-5,1]=>[3,2,5,4,1]=>[2,2,1]
[1,-5,-2,3,-4]=>[-4,3,-2,-5,1]=>[4,2,5,3,1]=>[2,2,1]
[1,-5,-2,-3,4]=>[4,-3,-2,-5,1]=>[2,4,5,3,1]=>[3,1,1]
[1,-5,-2,-3,-4]=>[-4,-3,-2,-5,1]=>[3,4,5,2,1]=>[3,1,1]
[-1,5,2,3,4]=>[4,3,2,5,-1]=>[3,2,1,4,5]=>[3,1,1]
[-1,5,2,3,-4]=>[-4,3,2,5,-1]=>[4,2,1,3,5]=>[3,1,1]
[-1,5,2,-3,4]=>[4,-3,2,5,-1]=>[2,4,1,3,5]=>[3,2]
[-1,5,2,-3,-4]=>[-4,-3,2,5,-1]=>[3,4,1,2,5]=>[3,2]
[-1,5,-2,3,4]=>[4,3,-2,5,-1]=>[2,1,4,3,5]=>[3,2]
[-1,5,-2,3,-4]=>[-4,3,-2,5,-1]=>[3,1,4,2,5]=>[3,2]
[-1,5,-2,-3,4]=>[4,-3,-2,5,-1]=>[1,3,4,2,5]=>[4,1]
[-1,5,-2,-3,-4]=>[-4,-3,-2,5,-1]=>[2,3,4,1,5]=>[4,1]
[-1,-5,2,3,4]=>[4,3,2,-5,-1]=>[3,2,1,4,5]=>[3,1,1]
[-1,-5,2,3,-4]=>[-4,3,2,-5,-1]=>[4,2,1,3,5]=>[3,1,1]
[-1,-5,2,-3,4]=>[4,-3,2,-5,-1]=>[2,4,1,3,5]=>[3,2]
[-1,-5,2,-3,-4]=>[-4,-3,2,-5,-1]=>[3,4,1,2,5]=>[3,2]
[-1,-5,-2,3,4]=>[4,3,-2,-5,-1]=>[2,1,4,3,5]=>[3,2]
[-1,-5,-2,3,-4]=>[-4,3,-2,-5,-1]=>[3,1,4,2,5]=>[3,2]
[-1,-5,-2,-3,4]=>[4,-3,-2,-5,-1]=>[1,3,4,2,5]=>[4,1]
[-1,-5,-2,-3,-4]=>[-4,-3,-2,-5,-1]=>[2,3,4,1,5]=>[4,1]
[1,5,2,4,3]=>[3,4,2,5,1]=>[3,4,2,5,1]=>[3,1,1]
[1,5,2,4,-3]=>[-3,4,2,5,1]=>[5,3,2,4,1]=>[2,1,1,1]
[1,5,2,-4,3]=>[3,-4,2,5,1]=>[3,5,2,4,1]=>[2,2,1]
[1,5,2,-4,-3]=>[-3,-4,2,5,1]=>[5,4,2,3,1]=>[2,1,1,1]
[1,5,-2,4,3]=>[3,4,-2,5,1]=>[2,3,5,4,1]=>[3,1,1]
[1,5,-2,4,-3]=>[-3,4,-2,5,1]=>[4,2,5,3,1]=>[2,2,1]
[1,5,-2,-4,3]=>[3,-4,-2,5,1]=>[2,4,5,3,1]=>[3,1,1]
[1,5,-2,-4,-3]=>[-3,-4,-2,5,1]=>[4,3,5,2,1]=>[2,1,1,1]
[1,-5,2,4,3]=>[3,4,2,-5,1]=>[3,4,2,5,1]=>[3,1,1]
[1,-5,2,4,-3]=>[-3,4,2,-5,1]=>[5,3,2,4,1]=>[2,1,1,1]
[1,-5,2,-4,3]=>[3,-4,2,-5,1]=>[3,5,2,4,1]=>[2,2,1]
[1,-5,2,-4,-3]=>[-3,-4,2,-5,1]=>[5,4,2,3,1]=>[2,1,1,1]
[1,-5,-2,4,3]=>[3,4,-2,-5,1]=>[2,3,5,4,1]=>[3,1,1]
[1,-5,-2,4,-3]=>[-3,4,-2,-5,1]=>[4,2,5,3,1]=>[2,2,1]
[1,-5,-2,-4,3]=>[3,-4,-2,-5,1]=>[2,4,5,3,1]=>[3,1,1]
[1,-5,-2,-4,-3]=>[-3,-4,-2,-5,1]=>[4,3,5,2,1]=>[2,1,1,1]
[-1,5,2,4,3]=>[3,4,2,5,-1]=>[2,3,1,4,5]=>[4,1]
[-1,5,2,4,-3]=>[-3,4,2,5,-1]=>[4,2,1,3,5]=>[3,1,1]
[-1,5,2,-4,3]=>[3,-4,2,5,-1]=>[2,4,1,3,5]=>[3,2]
[-1,5,2,-4,-3]=>[-3,-4,2,5,-1]=>[4,3,1,2,5]=>[3,1,1]
[-1,5,-2,4,3]=>[3,4,-2,5,-1]=>[1,2,4,3,5]=>[4,1]
[-1,5,-2,4,-3]=>[-3,4,-2,5,-1]=>[3,1,4,2,5]=>[3,2]
[-1,5,-2,-4,3]=>[3,-4,-2,5,-1]=>[1,3,4,2,5]=>[4,1]
[-1,5,-2,-4,-3]=>[-3,-4,-2,5,-1]=>[3,2,4,1,5]=>[3,1,1]
[-1,-5,2,4,3]=>[3,4,2,-5,-1]=>[2,3,1,4,5]=>[4,1]
[-1,-5,2,4,-3]=>[-3,4,2,-5,-1]=>[4,2,1,3,5]=>[3,1,1]
[-1,-5,2,-4,3]=>[3,-4,2,-5,-1]=>[2,4,1,3,5]=>[3,2]
[-1,-5,2,-4,-3]=>[-3,-4,2,-5,-1]=>[4,3,1,2,5]=>[3,1,1]
[-1,-5,-2,4,3]=>[3,4,-2,-5,-1]=>[1,2,4,3,5]=>[4,1]
[-1,-5,-2,4,-3]=>[-3,4,-2,-5,-1]=>[3,1,4,2,5]=>[3,2]
[-1,-5,-2,-4,3]=>[3,-4,-2,-5,-1]=>[1,3,4,2,5]=>[4,1]
[-1,-5,-2,-4,-3]=>[-3,-4,-2,-5,-1]=>[3,2,4,1,5]=>[3,1,1]
[1,5,3,2,4]=>[4,2,3,5,1]=>[4,2,3,5,1]=>[3,1,1]
[1,5,3,2,-4]=>[-4,2,3,5,1]=>[5,2,3,4,1]=>[3,1,1]
[1,5,3,-2,4]=>[4,-2,3,5,1]=>[3,5,2,4,1]=>[2,2,1]
[1,5,3,-2,-4]=>[-4,-2,3,5,1]=>[4,5,2,3,1]=>[2,2,1]
[1,5,-3,2,4]=>[4,2,-3,5,1]=>[3,2,5,4,1]=>[2,2,1]
[1,5,-3,2,-4]=>[-4,2,-3,5,1]=>[4,2,5,3,1]=>[2,2,1]
[1,5,-3,-2,4]=>[4,-2,-3,5,1]=>[2,5,4,3,1]=>[2,1,1,1]
[1,5,-3,-2,-4]=>[-4,-2,-3,5,1]=>[3,5,4,2,1]=>[2,1,1,1]
[1,-5,3,2,4]=>[4,2,3,-5,1]=>[4,2,3,5,1]=>[3,1,1]
[1,-5,3,2,-4]=>[-4,2,3,-5,1]=>[5,2,3,4,1]=>[3,1,1]
[1,-5,3,-2,4]=>[4,-2,3,-5,1]=>[3,5,2,4,1]=>[2,2,1]
[1,-5,3,-2,-4]=>[-4,-2,3,-5,1]=>[4,5,2,3,1]=>[2,2,1]
[1,-5,-3,2,4]=>[4,2,-3,-5,1]=>[3,2,5,4,1]=>[2,2,1]
[1,-5,-3,2,-4]=>[-4,2,-3,-5,1]=>[4,2,5,3,1]=>[2,2,1]
[1,-5,-3,-2,4]=>[4,-2,-3,-5,1]=>[2,5,4,3,1]=>[2,1,1,1]
[1,-5,-3,-2,-4]=>[-4,-2,-3,-5,1]=>[3,5,4,2,1]=>[2,1,1,1]
[-1,5,3,2,4]=>[4,2,3,5,-1]=>[3,1,2,4,5]=>[4,1]
[-1,5,3,2,-4]=>[-4,2,3,5,-1]=>[4,1,2,3,5]=>[4,1]
[-1,5,3,-2,4]=>[4,-2,3,5,-1]=>[2,4,1,3,5]=>[3,2]
[-1,5,3,-2,-4]=>[-4,-2,3,5,-1]=>[3,4,1,2,5]=>[3,2]
[-1,5,-3,2,4]=>[4,2,-3,5,-1]=>[2,1,4,3,5]=>[3,2]
[-1,5,-3,2,-4]=>[-4,2,-3,5,-1]=>[3,1,4,2,5]=>[3,2]
[-1,5,-3,-2,4]=>[4,-2,-3,5,-1]=>[1,4,3,2,5]=>[3,1,1]
[-1,5,-3,-2,-4]=>[-4,-2,-3,5,-1]=>[2,4,3,1,5]=>[3,1,1]
[-1,-5,3,2,4]=>[4,2,3,-5,-1]=>[3,1,2,4,5]=>[4,1]
[-1,-5,3,2,-4]=>[-4,2,3,-5,-1]=>[4,1,2,3,5]=>[4,1]
[-1,-5,3,-2,4]=>[4,-2,3,-5,-1]=>[2,4,1,3,5]=>[3,2]
[-1,-5,3,-2,-4]=>[-4,-2,3,-5,-1]=>[3,4,1,2,5]=>[3,2]
[-1,-5,-3,2,4]=>[4,2,-3,-5,-1]=>[2,1,4,3,5]=>[3,2]
[-1,-5,-3,2,-4]=>[-4,2,-3,-5,-1]=>[3,1,4,2,5]=>[3,2]
[-1,-5,-3,-2,4]=>[4,-2,-3,-5,-1]=>[1,4,3,2,5]=>[3,1,1]
[-1,-5,-3,-2,-4]=>[-4,-2,-3,-5,-1]=>[2,4,3,1,5]=>[3,1,1]
[1,5,3,4,2]=>[2,4,3,5,1]=>[2,4,3,5,1]=>[3,1,1]
[1,5,3,4,-2]=>[-2,4,3,5,1]=>[5,3,2,4,1]=>[2,1,1,1]
[1,5,3,-4,2]=>[2,-4,3,5,1]=>[2,5,3,4,1]=>[3,1,1]
[1,5,3,-4,-2]=>[-2,-4,3,5,1]=>[5,4,2,3,1]=>[2,1,1,1]
[1,5,-3,4,2]=>[2,4,-3,5,1]=>[2,3,5,4,1]=>[3,1,1]
[1,5,-3,4,-2]=>[-2,4,-3,5,1]=>[5,2,4,3,1]=>[2,1,1,1]
[1,5,-3,-4,2]=>[2,-4,-3,5,1]=>[2,4,5,3,1]=>[3,1,1]
[1,5,-3,-4,-2]=>[-2,-4,-3,5,1]=>[5,3,4,2,1]=>[2,1,1,1]
[1,-5,3,4,2]=>[2,4,3,-5,1]=>[2,4,3,5,1]=>[3,1,1]
[1,-5,3,4,-2]=>[-2,4,3,-5,1]=>[5,3,2,4,1]=>[2,1,1,1]
[1,-5,3,-4,2]=>[2,-4,3,-5,1]=>[2,5,3,4,1]=>[3,1,1]
[1,-5,3,-4,-2]=>[-2,-4,3,-5,1]=>[5,4,2,3,1]=>[2,1,1,1]
[1,-5,-3,4,2]=>[2,4,-3,-5,1]=>[2,3,5,4,1]=>[3,1,1]
[1,-5,-3,4,-2]=>[-2,4,-3,-5,1]=>[5,2,4,3,1]=>[2,1,1,1]
[1,-5,-3,-4,2]=>[2,-4,-3,-5,1]=>[2,4,5,3,1]=>[3,1,1]
[1,-5,-3,-4,-2]=>[-2,-4,-3,-5,1]=>[5,3,4,2,1]=>[2,1,1,1]
[-1,5,3,4,2]=>[2,4,3,5,-1]=>[1,3,2,4,5]=>[4,1]
[-1,5,3,4,-2]=>[-2,4,3,5,-1]=>[4,2,1,3,5]=>[3,1,1]
[-1,5,3,-4,2]=>[2,-4,3,5,-1]=>[1,4,2,3,5]=>[4,1]
[-1,5,3,-4,-2]=>[-2,-4,3,5,-1]=>[4,3,1,2,5]=>[3,1,1]
[-1,5,-3,4,2]=>[2,4,-3,5,-1]=>[1,2,4,3,5]=>[4,1]
[-1,5,-3,4,-2]=>[-2,4,-3,5,-1]=>[4,1,3,2,5]=>[3,1,1]
[-1,5,-3,-4,2]=>[2,-4,-3,5,-1]=>[1,3,4,2,5]=>[4,1]
[-1,5,-3,-4,-2]=>[-2,-4,-3,5,-1]=>[4,2,3,1,5]=>[3,1,1]
[-1,-5,3,4,2]=>[2,4,3,-5,-1]=>[1,3,2,4,5]=>[4,1]
[-1,-5,3,4,-2]=>[-2,4,3,-5,-1]=>[4,2,1,3,5]=>[3,1,1]
[-1,-5,3,-4,2]=>[2,-4,3,-5,-1]=>[1,4,2,3,5]=>[4,1]
[-1,-5,3,-4,-2]=>[-2,-4,3,-5,-1]=>[4,3,1,2,5]=>[3,1,1]
[-1,-5,-3,4,2]=>[2,4,-3,-5,-1]=>[1,2,4,3,5]=>[4,1]
[-1,-5,-3,4,-2]=>[-2,4,-3,-5,-1]=>[4,1,3,2,5]=>[3,1,1]
[-1,-5,-3,-4,2]=>[2,-4,-3,-5,-1]=>[1,3,4,2,5]=>[4,1]
[-1,-5,-3,-4,-2]=>[-2,-4,-3,-5,-1]=>[4,2,3,1,5]=>[3,1,1]
[1,5,4,2,3]=>[3,2,4,5,1]=>[3,2,4,5,1]=>[3,1,1]
[1,5,4,2,-3]=>[-3,2,4,5,1]=>[5,2,3,4,1]=>[3,1,1]
[1,5,4,-2,3]=>[3,-2,4,5,1]=>[2,5,3,4,1]=>[3,1,1]
[1,5,4,-2,-3]=>[-3,-2,4,5,1]=>[4,5,2,3,1]=>[2,2,1]
[1,5,-4,2,3]=>[3,2,-4,5,1]=>[3,2,5,4,1]=>[2,2,1]
[1,5,-4,2,-3]=>[-3,2,-4,5,1]=>[5,2,4,3,1]=>[2,1,1,1]
[1,5,-4,-2,3]=>[3,-2,-4,5,1]=>[2,5,4,3,1]=>[2,1,1,1]
[1,5,-4,-2,-3]=>[-3,-2,-4,5,1]=>[4,5,3,2,1]=>[2,1,1,1]
[1,-5,4,2,3]=>[3,2,4,-5,1]=>[3,2,4,5,1]=>[3,1,1]
[1,-5,4,2,-3]=>[-3,2,4,-5,1]=>[5,2,3,4,1]=>[3,1,1]
[1,-5,4,-2,3]=>[3,-2,4,-5,1]=>[2,5,3,4,1]=>[3,1,1]
[1,-5,4,-2,-3]=>[-3,-2,4,-5,1]=>[4,5,2,3,1]=>[2,2,1]
[1,-5,-4,2,3]=>[3,2,-4,-5,1]=>[3,2,5,4,1]=>[2,2,1]
[1,-5,-4,2,-3]=>[-3,2,-4,-5,1]=>[5,2,4,3,1]=>[2,1,1,1]
[1,-5,-4,-2,3]=>[3,-2,-4,-5,1]=>[2,5,4,3,1]=>[2,1,1,1]
[1,-5,-4,-2,-3]=>[-3,-2,-4,-5,1]=>[4,5,3,2,1]=>[2,1,1,1]
[-1,5,4,2,3]=>[3,2,4,5,-1]=>[2,1,3,4,5]=>[4,1]
[-1,5,4,2,-3]=>[-3,2,4,5,-1]=>[4,1,2,3,5]=>[4,1]
[-1,5,4,-2,3]=>[3,-2,4,5,-1]=>[1,4,2,3,5]=>[4,1]
[-1,5,4,-2,-3]=>[-3,-2,4,5,-1]=>[3,4,1,2,5]=>[3,2]
[-1,5,-4,2,3]=>[3,2,-4,5,-1]=>[2,1,4,3,5]=>[3,2]
[-1,5,-4,2,-3]=>[-3,2,-4,5,-1]=>[4,1,3,2,5]=>[3,1,1]
[-1,5,-4,-2,3]=>[3,-2,-4,5,-1]=>[1,4,3,2,5]=>[3,1,1]
[-1,5,-4,-2,-3]=>[-3,-2,-4,5,-1]=>[3,4,2,1,5]=>[3,1,1]
[-1,-5,4,2,3]=>[3,2,4,-5,-1]=>[2,1,3,4,5]=>[4,1]
[-1,-5,4,2,-3]=>[-3,2,4,-5,-1]=>[4,1,2,3,5]=>[4,1]
[-1,-5,4,-2,3]=>[3,-2,4,-5,-1]=>[1,4,2,3,5]=>[4,1]
[-1,-5,4,-2,-3]=>[-3,-2,4,-5,-1]=>[3,4,1,2,5]=>[3,2]
[-1,-5,-4,2,3]=>[3,2,-4,-5,-1]=>[2,1,4,3,5]=>[3,2]
[-1,-5,-4,2,-3]=>[-3,2,-4,-5,-1]=>[4,1,3,2,5]=>[3,1,1]
[-1,-5,-4,-2,3]=>[3,-2,-4,-5,-1]=>[1,4,3,2,5]=>[3,1,1]
[-1,-5,-4,-2,-3]=>[-3,-2,-4,-5,-1]=>[3,4,2,1,5]=>[3,1,1]
[1,5,4,3,2]=>[2,3,4,5,1]=>[2,3,4,5,1]=>[4,1]
[1,5,4,3,-2]=>[-2,3,4,5,1]=>[5,2,3,4,1]=>[3,1,1]
[1,5,4,-3,2]=>[2,-3,4,5,1]=>[2,5,3,4,1]=>[3,1,1]
[1,5,4,-3,-2]=>[-2,-3,4,5,1]=>[5,4,2,3,1]=>[2,1,1,1]
[1,5,-4,3,2]=>[2,3,-4,5,1]=>[2,3,5,4,1]=>[3,1,1]
[1,5,-4,3,-2]=>[-2,3,-4,5,1]=>[5,2,4,3,1]=>[2,1,1,1]
[1,5,-4,-3,2]=>[2,-3,-4,5,1]=>[2,5,4,3,1]=>[2,1,1,1]
[1,5,-4,-3,-2]=>[-2,-3,-4,5,1]=>[5,4,3,2,1]=>[1,1,1,1,1]
[1,-5,4,3,2]=>[2,3,4,-5,1]=>[2,3,4,5,1]=>[4,1]
[1,-5,4,3,-2]=>[-2,3,4,-5,1]=>[5,2,3,4,1]=>[3,1,1]
[1,-5,4,-3,2]=>[2,-3,4,-5,1]=>[2,5,3,4,1]=>[3,1,1]
[1,-5,4,-3,-2]=>[-2,-3,4,-5,1]=>[5,4,2,3,1]=>[2,1,1,1]
[1,-5,-4,3,2]=>[2,3,-4,-5,1]=>[2,3,5,4,1]=>[3,1,1]
[1,-5,-4,3,-2]=>[-2,3,-4,-5,1]=>[5,2,4,3,1]=>[2,1,1,1]
[1,-5,-4,-3,2]=>[2,-3,-4,-5,1]=>[2,5,4,3,1]=>[2,1,1,1]
[1,-5,-4,-3,-2]=>[-2,-3,-4,-5,1]=>[5,4,3,2,1]=>[1,1,1,1,1]
[-1,5,4,3,2]=>[2,3,4,5,-1]=>[1,2,3,4,5]=>[5]
[-1,5,4,3,-2]=>[-2,3,4,5,-1]=>[4,1,2,3,5]=>[4,1]
[-1,5,4,-3,2]=>[2,-3,4,5,-1]=>[1,4,2,3,5]=>[4,1]
[-1,5,4,-3,-2]=>[-2,-3,4,5,-1]=>[4,3,1,2,5]=>[3,1,1]
[-1,5,-4,3,2]=>[2,3,-4,5,-1]=>[1,2,4,3,5]=>[4,1]
[-1,5,-4,3,-2]=>[-2,3,-4,5,-1]=>[4,1,3,2,5]=>[3,1,1]
[-1,5,-4,-3,2]=>[2,-3,-4,5,-1]=>[1,4,3,2,5]=>[3,1,1]
[-1,5,-4,-3,-2]=>[-2,-3,-4,5,-1]=>[4,3,2,1,5]=>[2,1,1,1]
[-1,-5,4,3,2]=>[2,3,4,-5,-1]=>[1,2,3,4,5]=>[5]
[-1,-5,4,3,-2]=>[-2,3,4,-5,-1]=>[4,1,2,3,5]=>[4,1]
[-1,-5,4,-3,2]=>[2,-3,4,-5,-1]=>[1,4,2,3,5]=>[4,1]
[-1,-5,4,-3,-2]=>[-2,-3,4,-5,-1]=>[4,3,1,2,5]=>[3,1,1]
[-1,-5,-4,3,2]=>[2,3,-4,-5,-1]=>[1,2,4,3,5]=>[4,1]
[-1,-5,-4,3,-2]=>[-2,3,-4,-5,-1]=>[4,1,3,2,5]=>[3,1,1]
[-1,-5,-4,-3,2]=>[2,-3,-4,-5,-1]=>[1,4,3,2,5]=>[3,1,1]
[-1,-5,-4,-3,-2]=>[-2,-3,-4,-5,-1]=>[4,3,2,1,5]=>[2,1,1,1]
[2,1,3,4,5]=>[5,4,3,1,2]=>[5,4,3,1,2]=>[2,1,1,1]
[2,1,3,4,-5]=>[-5,4,3,1,2]=>[5,4,3,1,2]=>[2,1,1,1]
[2,1,3,-4,5]=>[5,-4,3,1,2]=>[4,5,3,1,2]=>[2,2,1]
[2,1,3,-4,-5]=>[-5,-4,3,1,2]=>[4,5,3,1,2]=>[2,2,1]
[2,1,-3,4,5]=>[5,4,-3,1,2]=>[4,3,5,1,2]=>[2,2,1]
[2,1,-3,4,-5]=>[-5,4,-3,1,2]=>[4,3,5,1,2]=>[2,2,1]
[2,1,-3,-4,5]=>[5,-4,-3,1,2]=>[3,4,5,1,2]=>[3,2]
[2,1,-3,-4,-5]=>[-5,-4,-3,1,2]=>[3,4,5,1,2]=>[3,2]
[2,-1,3,4,5]=>[5,4,3,-1,2]=>[4,3,2,5,1]=>[2,1,1,1]
[2,-1,3,4,-5]=>[-5,4,3,-1,2]=>[4,3,2,5,1]=>[2,1,1,1]
[2,-1,3,-4,5]=>[5,-4,3,-1,2]=>[3,4,2,5,1]=>[3,1,1]
[2,-1,3,-4,-5]=>[-5,-4,3,-1,2]=>[3,4,2,5,1]=>[3,1,1]
[2,-1,-3,4,5]=>[5,4,-3,-1,2]=>[3,2,4,5,1]=>[3,1,1]
[2,-1,-3,4,-5]=>[-5,4,-3,-1,2]=>[3,2,4,5,1]=>[3,1,1]
[2,-1,-3,-4,5]=>[5,-4,-3,-1,2]=>[2,3,4,5,1]=>[4,1]
[2,-1,-3,-4,-5]=>[-5,-4,-3,-1,2]=>[2,3,4,5,1]=>[4,1]
[-2,1,3,4,5]=>[5,4,3,1,-2]=>[4,3,2,1,5]=>[2,1,1,1]
[-2,1,3,4,-5]=>[-5,4,3,1,-2]=>[4,3,2,1,5]=>[2,1,1,1]
[-2,1,3,-4,5]=>[5,-4,3,1,-2]=>[3,4,2,1,5]=>[3,1,1]
[-2,1,3,-4,-5]=>[-5,-4,3,1,-2]=>[3,4,2,1,5]=>[3,1,1]
[-2,1,-3,4,5]=>[5,4,-3,1,-2]=>[3,2,4,1,5]=>[3,1,1]
[-2,1,-3,4,-5]=>[-5,4,-3,1,-2]=>[3,2,4,1,5]=>[3,1,1]
[-2,1,-3,-4,5]=>[5,-4,-3,1,-2]=>[2,3,4,1,5]=>[4,1]
[-2,1,-3,-4,-5]=>[-5,-4,-3,1,-2]=>[2,3,4,1,5]=>[4,1]
[-2,-1,3,4,5]=>[5,4,3,-1,-2]=>[3,2,1,5,4]=>[2,2,1]
[-2,-1,3,4,-5]=>[-5,4,3,-1,-2]=>[3,2,1,5,4]=>[2,2,1]
[-2,-1,3,-4,5]=>[5,-4,3,-1,-2]=>[2,3,1,5,4]=>[3,2]
[-2,-1,3,-4,-5]=>[-5,-4,3,-1,-2]=>[2,3,1,5,4]=>[3,2]
[-2,-1,-3,4,5]=>[5,4,-3,-1,-2]=>[2,1,3,5,4]=>[3,2]
[-2,-1,-3,4,-5]=>[-5,4,-3,-1,-2]=>[2,1,3,5,4]=>[3,2]
[-2,-1,-3,-4,5]=>[5,-4,-3,-1,-2]=>[1,2,3,5,4]=>[4,1]
[-2,-1,-3,-4,-5]=>[-5,-4,-3,-1,-2]=>[1,2,3,5,4]=>[4,1]
[2,1,3,5,4]=>[4,5,3,1,2]=>[4,5,3,1,2]=>[2,2,1]
[2,1,3,5,-4]=>[-4,5,3,1,2]=>[5,4,3,1,2]=>[2,1,1,1]
[2,1,3,-5,4]=>[4,-5,3,1,2]=>[4,5,3,1,2]=>[2,2,1]
[2,1,3,-5,-4]=>[-4,-5,3,1,2]=>[5,4,3,1,2]=>[2,1,1,1]
[2,1,-3,5,4]=>[4,5,-3,1,2]=>[3,4,5,1,2]=>[3,2]
[2,1,-3,5,-4]=>[-4,5,-3,1,2]=>[4,3,5,1,2]=>[2,2,1]
[2,1,-3,-5,4]=>[4,-5,-3,1,2]=>[3,4,5,1,2]=>[3,2]
[2,1,-3,-5,-4]=>[-4,-5,-3,1,2]=>[4,3,5,1,2]=>[2,2,1]
[2,-1,3,5,4]=>[4,5,3,-1,2]=>[3,4,2,5,1]=>[3,1,1]
[2,-1,3,5,-4]=>[-4,5,3,-1,2]=>[4,3,2,5,1]=>[2,1,1,1]
[2,-1,3,-5,4]=>[4,-5,3,-1,2]=>[3,4,2,5,1]=>[3,1,1]
[2,-1,3,-5,-4]=>[-4,-5,3,-1,2]=>[4,3,2,5,1]=>[2,1,1,1]
[2,-1,-3,5,4]=>[4,5,-3,-1,2]=>[2,3,4,5,1]=>[4,1]
[2,-1,-3,5,-4]=>[-4,5,-3,-1,2]=>[3,2,4,5,1]=>[3,1,1]
[2,-1,-3,-5,4]=>[4,-5,-3,-1,2]=>[2,3,4,5,1]=>[4,1]
[2,-1,-3,-5,-4]=>[-4,-5,-3,-1,2]=>[3,2,4,5,1]=>[3,1,1]
[-2,1,3,5,4]=>[4,5,3,1,-2]=>[3,4,2,1,5]=>[3,1,1]
[-2,1,3,5,-4]=>[-4,5,3,1,-2]=>[4,3,2,1,5]=>[2,1,1,1]
[-2,1,3,-5,4]=>[4,-5,3,1,-2]=>[3,4,2,1,5]=>[3,1,1]
[-2,1,3,-5,-4]=>[-4,-5,3,1,-2]=>[4,3,2,1,5]=>[2,1,1,1]
[-2,1,-3,5,4]=>[4,5,-3,1,-2]=>[2,3,4,1,5]=>[4,1]
[-2,1,-3,5,-4]=>[-4,5,-3,1,-2]=>[3,2,4,1,5]=>[3,1,1]
[-2,1,-3,-5,4]=>[4,-5,-3,1,-2]=>[2,3,4,1,5]=>[4,1]
[-2,1,-3,-5,-4]=>[-4,-5,-3,1,-2]=>[3,2,4,1,5]=>[3,1,1]
[-2,-1,3,5,4]=>[4,5,3,-1,-2]=>[2,3,1,5,4]=>[3,2]
[-2,-1,3,5,-4]=>[-4,5,3,-1,-2]=>[3,2,1,5,4]=>[2,2,1]
[-2,-1,3,-5,4]=>[4,-5,3,-1,-2]=>[2,3,1,5,4]=>[3,2]
[-2,-1,3,-5,-4]=>[-4,-5,3,-1,-2]=>[3,2,1,5,4]=>[2,2,1]
[-2,-1,-3,5,4]=>[4,5,-3,-1,-2]=>[1,2,3,5,4]=>[4,1]
[-2,-1,-3,5,-4]=>[-4,5,-3,-1,-2]=>[2,1,3,5,4]=>[3,2]
[-2,-1,-3,-5,4]=>[4,-5,-3,-1,-2]=>[1,2,3,5,4]=>[4,1]
[-2,-1,-3,-5,-4]=>[-4,-5,-3,-1,-2]=>[2,1,3,5,4]=>[3,2]
[2,1,4,3,5]=>[5,3,4,1,2]=>[5,3,4,1,2]=>[2,2,1]
[2,1,4,3,-5]=>[-5,3,4,1,2]=>[5,3,4,1,2]=>[2,2,1]
[2,1,4,-3,5]=>[5,-3,4,1,2]=>[4,5,3,1,2]=>[2,2,1]
[2,1,4,-3,-5]=>[-5,-3,4,1,2]=>[4,5,3,1,2]=>[2,2,1]
[2,1,-4,3,5]=>[5,3,-4,1,2]=>[4,3,5,1,2]=>[2,2,1]
[2,1,-4,3,-5]=>[-5,3,-4,1,2]=>[4,3,5,1,2]=>[2,2,1]
[2,1,-4,-3,5]=>[5,-3,-4,1,2]=>[3,5,4,1,2]=>[2,2,1]
[2,1,-4,-3,-5]=>[-5,-3,-4,1,2]=>[3,5,4,1,2]=>[2,2,1]
[2,-1,4,3,5]=>[5,3,4,-1,2]=>[4,2,3,5,1]=>[3,1,1]
[2,-1,4,3,-5]=>[-5,3,4,-1,2]=>[4,2,3,5,1]=>[3,1,1]
[2,-1,4,-3,5]=>[5,-3,4,-1,2]=>[3,4,2,5,1]=>[3,1,1]
[2,-1,4,-3,-5]=>[-5,-3,4,-1,2]=>[3,4,2,5,1]=>[3,1,1]
[2,-1,-4,3,5]=>[5,3,-4,-1,2]=>[3,2,4,5,1]=>[3,1,1]
[2,-1,-4,3,-5]=>[-5,3,-4,-1,2]=>[3,2,4,5,1]=>[3,1,1]
[2,-1,-4,-3,5]=>[5,-3,-4,-1,2]=>[2,4,3,5,1]=>[3,1,1]
[2,-1,-4,-3,-5]=>[-5,-3,-4,-1,2]=>[2,4,3,5,1]=>[3,1,1]
[-2,1,4,3,5]=>[5,3,4,1,-2]=>[4,2,3,1,5]=>[3,1,1]
[-2,1,4,3,-5]=>[-5,3,4,1,-2]=>[4,2,3,1,5]=>[3,1,1]
[-2,1,4,-3,5]=>[5,-3,4,1,-2]=>[3,4,2,1,5]=>[3,1,1]
[-2,1,4,-3,-5]=>[-5,-3,4,1,-2]=>[3,4,2,1,5]=>[3,1,1]
[-2,1,-4,3,5]=>[5,3,-4,1,-2]=>[3,2,4,1,5]=>[3,1,1]
[-2,1,-4,3,-5]=>[-5,3,-4,1,-2]=>[3,2,4,1,5]=>[3,1,1]
[-2,1,-4,-3,5]=>[5,-3,-4,1,-2]=>[2,4,3,1,5]=>[3,1,1]
[-2,1,-4,-3,-5]=>[-5,-3,-4,1,-2]=>[2,4,3,1,5]=>[3,1,1]
[-2,-1,4,3,5]=>[5,3,4,-1,-2]=>[3,1,2,5,4]=>[3,2]
[-2,-1,4,3,-5]=>[-5,3,4,-1,-2]=>[3,1,2,5,4]=>[3,2]
[-2,-1,4,-3,5]=>[5,-3,4,-1,-2]=>[2,3,1,5,4]=>[3,2]
[-2,-1,4,-3,-5]=>[-5,-3,4,-1,-2]=>[2,3,1,5,4]=>[3,2]
[-2,-1,-4,3,5]=>[5,3,-4,-1,-2]=>[2,1,3,5,4]=>[3,2]
[-2,-1,-4,3,-5]=>[-5,3,-4,-1,-2]=>[2,1,3,5,4]=>[3,2]
[-2,-1,-4,-3,5]=>[5,-3,-4,-1,-2]=>[1,3,2,5,4]=>[3,2]
[-2,-1,-4,-3,-5]=>[-5,-3,-4,-1,-2]=>[1,3,2,5,4]=>[3,2]
[2,1,4,5,3]=>[3,5,4,1,2]=>[3,5,4,1,2]=>[2,2,1]
[2,1,4,5,-3]=>[-3,5,4,1,2]=>[5,4,3,1,2]=>[2,1,1,1]
[2,1,4,-5,3]=>[3,-5,4,1,2]=>[3,5,4,1,2]=>[2,2,1]
[2,1,4,-5,-3]=>[-3,-5,4,1,2]=>[5,4,3,1,2]=>[2,1,1,1]
[2,1,-4,5,3]=>[3,5,-4,1,2]=>[3,4,5,1,2]=>[3,2]
[2,1,-4,5,-3]=>[-3,5,-4,1,2]=>[5,3,4,1,2]=>[2,2,1]
[2,1,-4,-5,3]=>[3,-5,-4,1,2]=>[3,4,5,1,2]=>[3,2]
[2,1,-4,-5,-3]=>[-3,-5,-4,1,2]=>[5,3,4,1,2]=>[2,2,1]
[2,-1,4,5,3]=>[3,5,4,-1,2]=>[2,4,3,5,1]=>[3,1,1]
[2,-1,4,5,-3]=>[-3,5,4,-1,2]=>[4,3,2,5,1]=>[2,1,1,1]
[2,-1,4,-5,3]=>[3,-5,4,-1,2]=>[2,4,3,5,1]=>[3,1,1]
[2,-1,4,-5,-3]=>[-3,-5,4,-1,2]=>[4,3,2,5,1]=>[2,1,1,1]
[2,-1,-4,5,3]=>[3,5,-4,-1,2]=>[2,3,4,5,1]=>[4,1]
[2,-1,-4,5,-3]=>[-3,5,-4,-1,2]=>[4,2,3,5,1]=>[3,1,1]
[2,-1,-4,-5,3]=>[3,-5,-4,-1,2]=>[2,3,4,5,1]=>[4,1]
[2,-1,-4,-5,-3]=>[-3,-5,-4,-1,2]=>[4,2,3,5,1]=>[3,1,1]
[-2,1,4,5,3]=>[3,5,4,1,-2]=>[2,4,3,1,5]=>[3,1,1]
[-2,1,4,5,-3]=>[-3,5,4,1,-2]=>[4,3,2,1,5]=>[2,1,1,1]
[-2,1,4,-5,3]=>[3,-5,4,1,-2]=>[2,4,3,1,5]=>[3,1,1]
[-2,1,4,-5,-3]=>[-3,-5,4,1,-2]=>[4,3,2,1,5]=>[2,1,1,1]
[-2,1,-4,5,3]=>[3,5,-4,1,-2]=>[2,3,4,1,5]=>[4,1]
[-2,1,-4,5,-3]=>[-3,5,-4,1,-2]=>[4,2,3,1,5]=>[3,1,1]
[-2,1,-4,-5,3]=>[3,-5,-4,1,-2]=>[2,3,4,1,5]=>[4,1]
[-2,1,-4,-5,-3]=>[-3,-5,-4,1,-2]=>[4,2,3,1,5]=>[3,1,1]
[-2,-1,4,5,3]=>[3,5,4,-1,-2]=>[1,3,2,5,4]=>[3,2]
[-2,-1,4,5,-3]=>[-3,5,4,-1,-2]=>[3,2,1,5,4]=>[2,2,1]
[-2,-1,4,-5,3]=>[3,-5,4,-1,-2]=>[1,3,2,5,4]=>[3,2]
[-2,-1,4,-5,-3]=>[-3,-5,4,-1,-2]=>[3,2,1,5,4]=>[2,2,1]
[-2,-1,-4,5,3]=>[3,5,-4,-1,-2]=>[1,2,3,5,4]=>[4,1]
[-2,-1,-4,5,-3]=>[-3,5,-4,-1,-2]=>[3,1,2,5,4]=>[3,2]
[-2,-1,-4,-5,3]=>[3,-5,-4,-1,-2]=>[1,2,3,5,4]=>[4,1]
[-2,-1,-4,-5,-3]=>[-3,-5,-4,-1,-2]=>[3,1,2,5,4]=>[3,2]
[2,1,5,3,4]=>[4,3,5,1,2]=>[4,3,5,1,2]=>[2,2,1]
[2,1,5,3,-4]=>[-4,3,5,1,2]=>[5,3,4,1,2]=>[2,2,1]
[2,1,5,-3,4]=>[4,-3,5,1,2]=>[3,5,4,1,2]=>[2,2,1]
[2,1,5,-3,-4]=>[-4,-3,5,1,2]=>[4,5,3,1,2]=>[2,2,1]
[2,1,-5,3,4]=>[4,3,-5,1,2]=>[4,3,5,1,2]=>[2,2,1]
[2,1,-5,3,-4]=>[-4,3,-5,1,2]=>[5,3,4,1,2]=>[2,2,1]
[2,1,-5,-3,4]=>[4,-3,-5,1,2]=>[3,5,4,1,2]=>[2,2,1]
[2,1,-5,-3,-4]=>[-4,-3,-5,1,2]=>[4,5,3,1,2]=>[2,2,1]
[2,-1,5,3,4]=>[4,3,5,-1,2]=>[3,2,4,5,1]=>[3,1,1]
[2,-1,5,3,-4]=>[-4,3,5,-1,2]=>[4,2,3,5,1]=>[3,1,1]
[2,-1,5,-3,4]=>[4,-3,5,-1,2]=>[2,4,3,5,1]=>[3,1,1]
[2,-1,5,-3,-4]=>[-4,-3,5,-1,2]=>[3,4,2,5,1]=>[3,1,1]
[2,-1,-5,3,4]=>[4,3,-5,-1,2]=>[3,2,4,5,1]=>[3,1,1]
[2,-1,-5,3,-4]=>[-4,3,-5,-1,2]=>[4,2,3,5,1]=>[3,1,1]
[2,-1,-5,-3,4]=>[4,-3,-5,-1,2]=>[2,4,3,5,1]=>[3,1,1]
[2,-1,-5,-3,-4]=>[-4,-3,-5,-1,2]=>[3,4,2,5,1]=>[3,1,1]
[-2,1,5,3,4]=>[4,3,5,1,-2]=>[3,2,4,1,5]=>[3,1,1]
[-2,1,5,3,-4]=>[-4,3,5,1,-2]=>[4,2,3,1,5]=>[3,1,1]
[-2,1,5,-3,4]=>[4,-3,5,1,-2]=>[2,4,3,1,5]=>[3,1,1]
[-2,1,5,-3,-4]=>[-4,-3,5,1,-2]=>[3,4,2,1,5]=>[3,1,1]
[-2,1,-5,3,4]=>[4,3,-5,1,-2]=>[3,2,4,1,5]=>[3,1,1]
[-2,1,-5,3,-4]=>[-4,3,-5,1,-2]=>[4,2,3,1,5]=>[3,1,1]
[-2,1,-5,-3,4]=>[4,-3,-5,1,-2]=>[2,4,3,1,5]=>[3,1,1]
[-2,1,-5,-3,-4]=>[-4,-3,-5,1,-2]=>[3,4,2,1,5]=>[3,1,1]
[-2,-1,5,3,4]=>[4,3,5,-1,-2]=>[2,1,3,5,4]=>[3,2]
[-2,-1,5,3,-4]=>[-4,3,5,-1,-2]=>[3,1,2,5,4]=>[3,2]
[-2,-1,5,-3,4]=>[4,-3,5,-1,-2]=>[1,3,2,5,4]=>[3,2]
[-2,-1,5,-3,-4]=>[-4,-3,5,-1,-2]=>[2,3,1,5,4]=>[3,2]
[-2,-1,-5,3,4]=>[4,3,-5,-1,-2]=>[2,1,3,5,4]=>[3,2]
[-2,-1,-5,3,-4]=>[-4,3,-5,-1,-2]=>[3,1,2,5,4]=>[3,2]
[-2,-1,-5,-3,4]=>[4,-3,-5,-1,-2]=>[1,3,2,5,4]=>[3,2]
[-2,-1,-5,-3,-4]=>[-4,-3,-5,-1,-2]=>[2,3,1,5,4]=>[3,2]
[2,1,5,4,3]=>[3,4,5,1,2]=>[3,4,5,1,2]=>[3,2]
[2,1,5,4,-3]=>[-3,4,5,1,2]=>[5,3,4,1,2]=>[2,2,1]
[2,1,5,-4,3]=>[3,-4,5,1,2]=>[3,5,4,1,2]=>[2,2,1]
[2,1,5,-4,-3]=>[-3,-4,5,1,2]=>[5,4,3,1,2]=>[2,1,1,1]
[2,1,-5,4,3]=>[3,4,-5,1,2]=>[3,4,5,1,2]=>[3,2]
[2,1,-5,4,-3]=>[-3,4,-5,1,2]=>[5,3,4,1,2]=>[2,2,1]
[2,1,-5,-4,3]=>[3,-4,-5,1,2]=>[3,5,4,1,2]=>[2,2,1]
[2,1,-5,-4,-3]=>[-3,-4,-5,1,2]=>[5,4,3,1,2]=>[2,1,1,1]
[2,-1,5,4,3]=>[3,4,5,-1,2]=>[2,3,4,5,1]=>[4,1]
[2,-1,5,4,-3]=>[-3,4,5,-1,2]=>[4,2,3,5,1]=>[3,1,1]
[2,-1,5,-4,3]=>[3,-4,5,-1,2]=>[2,4,3,5,1]=>[3,1,1]
[2,-1,5,-4,-3]=>[-3,-4,5,-1,2]=>[4,3,2,5,1]=>[2,1,1,1]
[2,-1,-5,4,3]=>[3,4,-5,-1,2]=>[2,3,4,5,1]=>[4,1]
[2,-1,-5,4,-3]=>[-3,4,-5,-1,2]=>[4,2,3,5,1]=>[3,1,1]
[2,-1,-5,-4,3]=>[3,-4,-5,-1,2]=>[2,4,3,5,1]=>[3,1,1]
[2,-1,-5,-4,-3]=>[-3,-4,-5,-1,2]=>[4,3,2,5,1]=>[2,1,1,1]
[-2,1,5,4,3]=>[3,4,5,1,-2]=>[2,3,4,1,5]=>[4,1]
[-2,1,5,4,-3]=>[-3,4,5,1,-2]=>[4,2,3,1,5]=>[3,1,1]
[-2,1,5,-4,3]=>[3,-4,5,1,-2]=>[2,4,3,1,5]=>[3,1,1]
[-2,1,5,-4,-3]=>[-3,-4,5,1,-2]=>[4,3,2,1,5]=>[2,1,1,1]
[-2,1,-5,4,3]=>[3,4,-5,1,-2]=>[2,3,4,1,5]=>[4,1]
[-2,1,-5,4,-3]=>[-3,4,-5,1,-2]=>[4,2,3,1,5]=>[3,1,1]
[-2,1,-5,-4,3]=>[3,-4,-5,1,-2]=>[2,4,3,1,5]=>[3,1,1]
[-2,1,-5,-4,-3]=>[-3,-4,-5,1,-2]=>[4,3,2,1,5]=>[2,1,1,1]
[-2,-1,5,4,3]=>[3,4,5,-1,-2]=>[1,2,3,5,4]=>[4,1]
[-2,-1,5,4,-3]=>[-3,4,5,-1,-2]=>[3,1,2,5,4]=>[3,2]
[-2,-1,5,-4,3]=>[3,-4,5,-1,-2]=>[1,3,2,5,4]=>[3,2]
[-2,-1,5,-4,-3]=>[-3,-4,5,-1,-2]=>[3,2,1,5,4]=>[2,2,1]
[-2,-1,-5,4,3]=>[3,4,-5,-1,-2]=>[1,2,3,5,4]=>[4,1]
[-2,-1,-5,4,-3]=>[-3,4,-5,-1,-2]=>[3,1,2,5,4]=>[3,2]
[-2,-1,-5,-4,3]=>[3,-4,-5,-1,-2]=>[1,3,2,5,4]=>[3,2]
[-2,-1,-5,-4,-3]=>[-3,-4,-5,-1,-2]=>[3,2,1,5,4]=>[2,2,1]
[2,3,1,4,5]=>[5,4,1,3,2]=>[5,4,1,3,2]=>[2,1,1,1]
[2,3,1,4,-5]=>[-5,4,1,3,2]=>[5,4,1,3,2]=>[2,1,1,1]
[2,3,1,-4,5]=>[5,-4,1,3,2]=>[4,5,1,3,2]=>[2,2,1]
[2,3,1,-4,-5]=>[-5,-4,1,3,2]=>[4,5,1,3,2]=>[2,2,1]
[2,3,-1,4,5]=>[5,4,-1,3,2]=>[4,3,5,2,1]=>[2,1,1,1]
[2,3,-1,4,-5]=>[-5,4,-1,3,2]=>[4,3,5,2,1]=>[2,1,1,1]
[2,3,-1,-4,5]=>[5,-4,-1,3,2]=>[3,4,5,2,1]=>[3,1,1]
[2,3,-1,-4,-5]=>[-5,-4,-1,3,2]=>[3,4,5,2,1]=>[3,1,1]
[2,-3,1,4,5]=>[5,4,1,-3,2]=>[4,3,1,5,2]=>[2,2,1]
[2,-3,1,4,-5]=>[-5,4,1,-3,2]=>[4,3,1,5,2]=>[2,2,1]
[2,-3,1,-4,5]=>[5,-4,1,-3,2]=>[3,4,1,5,2]=>[3,2]
[2,-3,1,-4,-5]=>[-5,-4,1,-3,2]=>[3,4,1,5,2]=>[3,2]
[2,-3,-1,4,5]=>[5,4,-1,-3,2]=>[3,2,5,4,1]=>[2,2,1]
[2,-3,-1,4,-5]=>[-5,4,-1,-3,2]=>[3,2,5,4,1]=>[2,2,1]
[2,-3,-1,-4,5]=>[5,-4,-1,-3,2]=>[2,3,5,4,1]=>[3,1,1]
[2,-3,-1,-4,-5]=>[-5,-4,-1,-3,2]=>[2,3,5,4,1]=>[3,1,1]
[-2,3,1,4,5]=>[5,4,1,3,-2]=>[4,3,1,2,5]=>[3,1,1]
[-2,3,1,4,-5]=>[-5,4,1,3,-2]=>[4,3,1,2,5]=>[3,1,1]
[-2,3,1,-4,5]=>[5,-4,1,3,-2]=>[3,4,1,2,5]=>[3,2]
[-2,3,1,-4,-5]=>[-5,-4,1,3,-2]=>[3,4,1,2,5]=>[3,2]
[-2,3,-1,4,5]=>[5,4,-1,3,-2]=>[3,2,5,1,4]=>[2,2,1]
[-2,3,-1,4,-5]=>[-5,4,-1,3,-2]=>[3,2,5,1,4]=>[2,2,1]
[-2,3,-1,-4,5]=>[5,-4,-1,3,-2]=>[2,3,5,1,4]=>[3,2]
[-2,3,-1,-4,-5]=>[-5,-4,-1,3,-2]=>[2,3,5,1,4]=>[3,2]
[-2,-3,1,4,5]=>[5,4,1,-3,-2]=>[3,2,1,4,5]=>[3,1,1]
[-2,-3,1,4,-5]=>[-5,4,1,-3,-2]=>[3,2,1,4,5]=>[3,1,1]
[-2,-3,1,-4,5]=>[5,-4,1,-3,-2]=>[2,3,1,4,5]=>[4,1]
[-2,-3,1,-4,-5]=>[-5,-4,1,-3,-2]=>[2,3,1,4,5]=>[4,1]
[-2,-3,-1,4,5]=>[5,4,-1,-3,-2]=>[2,1,5,3,4]=>[3,2]
[-2,-3,-1,4,-5]=>[-5,4,-1,-3,-2]=>[2,1,5,3,4]=>[3,2]
[-2,-3,-1,-4,5]=>[5,-4,-1,-3,-2]=>[1,2,5,3,4]=>[4,1]
[-2,-3,-1,-4,-5]=>[-5,-4,-1,-3,-2]=>[1,2,5,3,4]=>[4,1]
[2,3,1,5,4]=>[4,5,1,3,2]=>[4,5,1,3,2]=>[2,2,1]
[2,3,1,5,-4]=>[-4,5,1,3,2]=>[5,4,1,3,2]=>[2,1,1,1]
[2,3,1,-5,4]=>[4,-5,1,3,2]=>[4,5,1,3,2]=>[2,2,1]
[2,3,1,-5,-4]=>[-4,-5,1,3,2]=>[5,4,1,3,2]=>[2,1,1,1]
[2,3,-1,5,4]=>[4,5,-1,3,2]=>[3,4,5,2,1]=>[3,1,1]
[2,3,-1,5,-4]=>[-4,5,-1,3,2]=>[4,3,5,2,1]=>[2,1,1,1]
[2,3,-1,-5,4]=>[4,-5,-1,3,2]=>[3,4,5,2,1]=>[3,1,1]
[2,3,-1,-5,-4]=>[-4,-5,-1,3,2]=>[4,3,5,2,1]=>[2,1,1,1]
[2,-3,1,5,4]=>[4,5,1,-3,2]=>[3,4,1,5,2]=>[3,2]
[2,-3,1,5,-4]=>[-4,5,1,-3,2]=>[4,3,1,5,2]=>[2,2,1]
[2,-3,1,-5,4]=>[4,-5,1,-3,2]=>[3,4,1,5,2]=>[3,2]
[2,-3,1,-5,-4]=>[-4,-5,1,-3,2]=>[4,3,1,5,2]=>[2,2,1]
[2,-3,-1,5,4]=>[4,5,-1,-3,2]=>[2,3,5,4,1]=>[3,1,1]
[2,-3,-1,5,-4]=>[-4,5,-1,-3,2]=>[3,2,5,4,1]=>[2,2,1]
[2,-3,-1,-5,4]=>[4,-5,-1,-3,2]=>[2,3,5,4,1]=>[3,1,1]
[2,-3,-1,-5,-4]=>[-4,-5,-1,-3,2]=>[3,2,5,4,1]=>[2,2,1]
[-2,3,1,5,4]=>[4,5,1,3,-2]=>[3,4,1,2,5]=>[3,2]
[-2,3,1,5,-4]=>[-4,5,1,3,-2]=>[4,3,1,2,5]=>[3,1,1]
[-2,3,1,-5,4]=>[4,-5,1,3,-2]=>[3,4,1,2,5]=>[3,2]
[-2,3,1,-5,-4]=>[-4,-5,1,3,-2]=>[4,3,1,2,5]=>[3,1,1]
[-2,3,-1,5,4]=>[4,5,-1,3,-2]=>[2,3,5,1,4]=>[3,2]
[-2,3,-1,5,-4]=>[-4,5,-1,3,-2]=>[3,2,5,1,4]=>[2,2,1]
[-2,3,-1,-5,4]=>[4,-5,-1,3,-2]=>[2,3,5,1,4]=>[3,2]
[-2,3,-1,-5,-4]=>[-4,-5,-1,3,-2]=>[3,2,5,1,4]=>[2,2,1]
[-2,-3,1,5,4]=>[4,5,1,-3,-2]=>[2,3,1,4,5]=>[4,1]
[-2,-3,1,5,-4]=>[-4,5,1,-3,-2]=>[3,2,1,4,5]=>[3,1,1]
[-2,-3,1,-5,4]=>[4,-5,1,-3,-2]=>[2,3,1,4,5]=>[4,1]
[-2,-3,1,-5,-4]=>[-4,-5,1,-3,-2]=>[3,2,1,4,5]=>[3,1,1]
[-2,-3,-1,5,4]=>[4,5,-1,-3,-2]=>[1,2,5,3,4]=>[4,1]
[-2,-3,-1,5,-4]=>[-4,5,-1,-3,-2]=>[2,1,5,3,4]=>[3,2]
[-2,-3,-1,-5,4]=>[4,-5,-1,-3,-2]=>[1,2,5,3,4]=>[4,1]
[-2,-3,-1,-5,-4]=>[-4,-5,-1,-3,-2]=>[2,1,5,3,4]=>[3,2]
[2,3,4,1,5]=>[5,1,4,3,2]=>[5,1,4,3,2]=>[2,1,1,1]
[2,3,4,1,-5]=>[-5,1,4,3,2]=>[5,1,4,3,2]=>[2,1,1,1]
[2,3,4,-1,5]=>[5,-1,4,3,2]=>[4,5,3,2,1]=>[2,1,1,1]
[2,3,4,-1,-5]=>[-5,-1,4,3,2]=>[4,5,3,2,1]=>[2,1,1,1]
[2,3,-4,1,5]=>[5,1,-4,3,2]=>[4,1,5,3,2]=>[2,2,1]
[2,3,-4,1,-5]=>[-5,1,-4,3,2]=>[4,1,5,3,2]=>[2,2,1]
[2,3,-4,-1,5]=>[5,-1,-4,3,2]=>[3,5,4,2,1]=>[2,1,1,1]
[2,3,-4,-1,-5]=>[-5,-1,-4,3,2]=>[3,5,4,2,1]=>[2,1,1,1]
[2,-3,4,1,5]=>[5,1,4,-3,2]=>[4,1,3,5,2]=>[3,1,1]
[2,-3,4,1,-5]=>[-5,1,4,-3,2]=>[4,1,3,5,2]=>[3,1,1]
[2,-3,4,-1,5]=>[5,-1,4,-3,2]=>[3,5,2,4,1]=>[2,2,1]
[2,-3,4,-1,-5]=>[-5,-1,4,-3,2]=>[3,5,2,4,1]=>[2,2,1]
[2,-3,-4,1,5]=>[5,1,-4,-3,2]=>[3,1,4,5,2]=>[3,2]
[2,-3,-4,1,-5]=>[-5,1,-4,-3,2]=>[3,1,4,5,2]=>[3,2]
[2,-3,-4,-1,5]=>[5,-1,-4,-3,2]=>[2,5,3,4,1]=>[3,1,1]
[2,-3,-4,-1,-5]=>[-5,-1,-4,-3,2]=>[2,5,3,4,1]=>[3,1,1]
[-2,3,4,1,5]=>[5,1,4,3,-2]=>[4,1,3,2,5]=>[3,1,1]
[-2,3,4,1,-5]=>[-5,1,4,3,-2]=>[4,1,3,2,5]=>[3,1,1]
[-2,3,4,-1,5]=>[5,-1,4,3,-2]=>[3,5,2,1,4]=>[2,2,1]
[-2,3,4,-1,-5]=>[-5,-1,4,3,-2]=>[3,5,2,1,4]=>[2,2,1]
[-2,3,-4,1,5]=>[5,1,-4,3,-2]=>[3,1,4,2,5]=>[3,2]
[-2,3,-4,1,-5]=>[-5,1,-4,3,-2]=>[3,1,4,2,5]=>[3,2]
[-2,3,-4,-1,5]=>[5,-1,-4,3,-2]=>[2,5,3,1,4]=>[3,1,1]
[-2,3,-4,-1,-5]=>[-5,-1,-4,3,-2]=>[2,5,3,1,4]=>[3,1,1]
[-2,-3,4,1,5]=>[5,1,4,-3,-2]=>[3,1,2,4,5]=>[4,1]
[-2,-3,4,1,-5]=>[-5,1,4,-3,-2]=>[3,1,2,4,5]=>[4,1]
[-2,-3,4,-1,5]=>[5,-1,4,-3,-2]=>[2,5,1,3,4]=>[3,2]
[-2,-3,4,-1,-5]=>[-5,-1,4,-3,-2]=>[2,5,1,3,4]=>[3,2]
[-2,-3,-4,1,5]=>[5,1,-4,-3,-2]=>[2,1,3,4,5]=>[4,1]
[-2,-3,-4,1,-5]=>[-5,1,-4,-3,-2]=>[2,1,3,4,5]=>[4,1]
[-2,-3,-4,-1,5]=>[5,-1,-4,-3,-2]=>[1,5,2,3,4]=>[4,1]
[-2,-3,-4,-1,-5]=>[-5,-1,-4,-3,-2]=>[1,5,2,3,4]=>[4,1]
[2,3,4,5,1]=>[1,5,4,3,2]=>[1,5,4,3,2]=>[2,1,1,1]
[2,3,4,5,-1]=>[-1,5,4,3,2]=>[5,4,3,2,1]=>[1,1,1,1,1]
[2,3,4,-5,1]=>[1,-5,4,3,2]=>[1,5,4,3,2]=>[2,1,1,1]
[2,3,4,-5,-1]=>[-1,-5,4,3,2]=>[5,4,3,2,1]=>[1,1,1,1,1]
[2,3,-4,5,1]=>[1,5,-4,3,2]=>[1,4,5,3,2]=>[3,1,1]
[2,3,-4,5,-1]=>[-1,5,-4,3,2]=>[5,3,4,2,1]=>[2,1,1,1]
[2,3,-4,-5,1]=>[1,-5,-4,3,2]=>[1,4,5,3,2]=>[3,1,1]
[2,3,-4,-5,-1]=>[-1,-5,-4,3,2]=>[5,3,4,2,1]=>[2,1,1,1]
[2,-3,4,5,1]=>[1,5,4,-3,2]=>[1,4,3,5,2]=>[3,1,1]
[2,-3,4,5,-1]=>[-1,5,4,-3,2]=>[5,3,2,4,1]=>[2,1,1,1]
[2,-3,4,-5,1]=>[1,-5,4,-3,2]=>[1,4,3,5,2]=>[3,1,1]
[2,-3,4,-5,-1]=>[-1,-5,4,-3,2]=>[5,3,2,4,1]=>[2,1,1,1]
[2,-3,-4,5,1]=>[1,5,-4,-3,2]=>[1,3,4,5,2]=>[4,1]
[2,-3,-4,5,-1]=>[-1,5,-4,-3,2]=>[5,2,3,4,1]=>[3,1,1]
[2,-3,-4,-5,1]=>[1,-5,-4,-3,2]=>[1,3,4,5,2]=>[4,1]
[2,-3,-4,-5,-1]=>[-1,-5,-4,-3,2]=>[5,2,3,4,1]=>[3,1,1]
[-2,3,4,5,1]=>[1,5,4,3,-2]=>[1,4,3,2,5]=>[3,1,1]
[-2,3,4,5,-1]=>[-1,5,4,3,-2]=>[5,3,2,1,4]=>[2,1,1,1]
[-2,3,4,-5,1]=>[1,-5,4,3,-2]=>[1,4,3,2,5]=>[3,1,1]
[-2,3,4,-5,-1]=>[-1,-5,4,3,-2]=>[5,3,2,1,4]=>[2,1,1,1]
[-2,3,-4,5,1]=>[1,5,-4,3,-2]=>[1,3,4,2,5]=>[4,1]
[-2,3,-4,5,-1]=>[-1,5,-4,3,-2]=>[5,2,3,1,4]=>[3,1,1]
[-2,3,-4,-5,1]=>[1,-5,-4,3,-2]=>[1,3,4,2,5]=>[4,1]
[-2,3,-4,-5,-1]=>[-1,-5,-4,3,-2]=>[5,2,3,1,4]=>[3,1,1]
[-2,-3,4,5,1]=>[1,5,4,-3,-2]=>[1,3,2,4,5]=>[4,1]
[-2,-3,4,5,-1]=>[-1,5,4,-3,-2]=>[5,2,1,3,4]=>[3,1,1]
[-2,-3,4,-5,1]=>[1,-5,4,-3,-2]=>[1,3,2,4,5]=>[4,1]
[-2,-3,4,-5,-1]=>[-1,-5,4,-3,-2]=>[5,2,1,3,4]=>[3,1,1]
[-2,-3,-4,5,1]=>[1,5,-4,-3,-2]=>[1,2,3,4,5]=>[5]
[-2,-3,-4,5,-1]=>[-1,5,-4,-3,-2]=>[5,1,2,3,4]=>[4,1]
[-2,-3,-4,-5,1]=>[1,-5,-4,-3,-2]=>[1,2,3,4,5]=>[5]
[-2,-3,-4,-5,-1]=>[-1,-5,-4,-3,-2]=>[5,1,2,3,4]=>[4,1]
[2,3,5,1,4]=>[4,1,5,3,2]=>[4,1,5,3,2]=>[2,2,1]
[2,3,5,1,-4]=>[-4,1,5,3,2]=>[5,1,4,3,2]=>[2,1,1,1]
[2,3,5,-1,4]=>[4,-1,5,3,2]=>[3,5,4,2,1]=>[2,1,1,1]
[2,3,5,-1,-4]=>[-4,-1,5,3,2]=>[4,5,3,2,1]=>[2,1,1,1]
[2,3,-5,1,4]=>[4,1,-5,3,2]=>[4,1,5,3,2]=>[2,2,1]
[2,3,-5,1,-4]=>[-4,1,-5,3,2]=>[5,1,4,3,2]=>[2,1,1,1]
[2,3,-5,-1,4]=>[4,-1,-5,3,2]=>[3,5,4,2,1]=>[2,1,1,1]
[2,3,-5,-1,-4]=>[-4,-1,-5,3,2]=>[4,5,3,2,1]=>[2,1,1,1]
[2,-3,5,1,4]=>[4,1,5,-3,2]=>[3,1,4,5,2]=>[3,2]
[2,-3,5,1,-4]=>[-4,1,5,-3,2]=>[4,1,3,5,2]=>[3,1,1]
[2,-3,5,-1,4]=>[4,-1,5,-3,2]=>[2,5,3,4,1]=>[3,1,1]
[2,-3,5,-1,-4]=>[-4,-1,5,-3,2]=>[3,5,2,4,1]=>[2,2,1]
[2,-3,-5,1,4]=>[4,1,-5,-3,2]=>[3,1,4,5,2]=>[3,2]
[2,-3,-5,1,-4]=>[-4,1,-5,-3,2]=>[4,1,3,5,2]=>[3,1,1]
[2,-3,-5,-1,4]=>[4,-1,-5,-3,2]=>[2,5,3,4,1]=>[3,1,1]
[2,-3,-5,-1,-4]=>[-4,-1,-5,-3,2]=>[3,5,2,4,1]=>[2,2,1]
[-2,3,5,1,4]=>[4,1,5,3,-2]=>[3,1,4,2,5]=>[3,2]
[-2,3,5,1,-4]=>[-4,1,5,3,-2]=>[4,1,3,2,5]=>[3,1,1]
[-2,3,5,-1,4]=>[4,-1,5,3,-2]=>[2,5,3,1,4]=>[3,1,1]
[-2,3,5,-1,-4]=>[-4,-1,5,3,-2]=>[3,5,2,1,4]=>[2,2,1]
[-2,3,-5,1,4]=>[4,1,-5,3,-2]=>[3,1,4,2,5]=>[3,2]
[-2,3,-5,1,-4]=>[-4,1,-5,3,-2]=>[4,1,3,2,5]=>[3,1,1]
[-2,3,-5,-1,4]=>[4,-1,-5,3,-2]=>[2,5,3,1,4]=>[3,1,1]
[-2,3,-5,-1,-4]=>[-4,-1,-5,3,-2]=>[3,5,2,1,4]=>[2,2,1]
[-2,-3,5,1,4]=>[4,1,5,-3,-2]=>[2,1,3,4,5]=>[4,1]
[-2,-3,5,1,-4]=>[-4,1,5,-3,-2]=>[3,1,2,4,5]=>[4,1]
[-2,-3,5,-1,4]=>[4,-1,5,-3,-2]=>[1,5,2,3,4]=>[4,1]
[-2,-3,5,-1,-4]=>[-4,-1,5,-3,-2]=>[2,5,1,3,4]=>[3,2]
[-2,-3,-5,1,4]=>[4,1,-5,-3,-2]=>[2,1,3,4,5]=>[4,1]
[-2,-3,-5,1,-4]=>[-4,1,-5,-3,-2]=>[3,1,2,4,5]=>[4,1]
[-2,-3,-5,-1,4]=>[4,-1,-5,-3,-2]=>[1,5,2,3,4]=>[4,1]
[-2,-3,-5,-1,-4]=>[-4,-1,-5,-3,-2]=>[2,5,1,3,4]=>[3,2]
[2,3,5,4,1]=>[1,4,5,3,2]=>[1,4,5,3,2]=>[3,1,1]
[2,3,5,4,-1]=>[-1,4,5,3,2]=>[5,3,4,2,1]=>[2,1,1,1]
[2,3,5,-4,1]=>[1,-4,5,3,2]=>[1,5,4,3,2]=>[2,1,1,1]
[2,3,5,-4,-1]=>[-1,-4,5,3,2]=>[5,4,3,2,1]=>[1,1,1,1,1]
[2,3,-5,4,1]=>[1,4,-5,3,2]=>[1,4,5,3,2]=>[3,1,1]
[2,3,-5,4,-1]=>[-1,4,-5,3,2]=>[5,3,4,2,1]=>[2,1,1,1]
[2,3,-5,-4,1]=>[1,-4,-5,3,2]=>[1,5,4,3,2]=>[2,1,1,1]
[2,3,-5,-4,-1]=>[-1,-4,-5,3,2]=>[5,4,3,2,1]=>[1,1,1,1,1]
[2,-3,5,4,1]=>[1,4,5,-3,2]=>[1,3,4,5,2]=>[4,1]
[2,-3,5,4,-1]=>[-1,4,5,-3,2]=>[5,2,3,4,1]=>[3,1,1]
[2,-3,5,-4,1]=>[1,-4,5,-3,2]=>[1,4,3,5,2]=>[3,1,1]
[2,-3,5,-4,-1]=>[-1,-4,5,-3,2]=>[5,3,2,4,1]=>[2,1,1,1]
[2,-3,-5,4,1]=>[1,4,-5,-3,2]=>[1,3,4,5,2]=>[4,1]
[2,-3,-5,4,-1]=>[-1,4,-5,-3,2]=>[5,2,3,4,1]=>[3,1,1]
[2,-3,-5,-4,1]=>[1,-4,-5,-3,2]=>[1,4,3,5,2]=>[3,1,1]
[2,-3,-5,-4,-1]=>[-1,-4,-5,-3,2]=>[5,3,2,4,1]=>[2,1,1,1]
[-2,3,5,4,1]=>[1,4,5,3,-2]=>[1,3,4,2,5]=>[4,1]
[-2,3,5,4,-1]=>[-1,4,5,3,-2]=>[5,2,3,1,4]=>[3,1,1]
[-2,3,5,-4,1]=>[1,-4,5,3,-2]=>[1,4,3,2,5]=>[3,1,1]
[-2,3,5,-4,-1]=>[-1,-4,5,3,-2]=>[5,3,2,1,4]=>[2,1,1,1]
[-2,3,-5,4,1]=>[1,4,-5,3,-2]=>[1,3,4,2,5]=>[4,1]
[-2,3,-5,4,-1]=>[-1,4,-5,3,-2]=>[5,2,3,1,4]=>[3,1,1]
[-2,3,-5,-4,1]=>[1,-4,-5,3,-2]=>[1,4,3,2,5]=>[3,1,1]
[-2,3,-5,-4,-1]=>[-1,-4,-5,3,-2]=>[5,3,2,1,4]=>[2,1,1,1]
[-2,-3,5,4,1]=>[1,4,5,-3,-2]=>[1,2,3,4,5]=>[5]
[-2,-3,5,4,-1]=>[-1,4,5,-3,-2]=>[5,1,2,3,4]=>[4,1]
[-2,-3,5,-4,1]=>[1,-4,5,-3,-2]=>[1,3,2,4,5]=>[4,1]
[-2,-3,5,-4,-1]=>[-1,-4,5,-3,-2]=>[5,2,1,3,4]=>[3,1,1]
[-2,-3,-5,4,1]=>[1,4,-5,-3,-2]=>[1,2,3,4,5]=>[5]
[-2,-3,-5,4,-1]=>[-1,4,-5,-3,-2]=>[5,1,2,3,4]=>[4,1]
[-2,-3,-5,-4,1]=>[1,-4,-5,-3,-2]=>[1,3,2,4,5]=>[4,1]
[-2,-3,-5,-4,-1]=>[-1,-4,-5,-3,-2]=>[5,2,1,3,4]=>[3,1,1]
[2,4,1,3,5]=>[5,3,1,4,2]=>[5,3,1,4,2]=>[2,2,1]
[2,4,1,3,-5]=>[-5,3,1,4,2]=>[5,3,1,4,2]=>[2,2,1]
[2,4,1,-3,5]=>[5,-3,1,4,2]=>[4,5,1,3,2]=>[2,2,1]
[2,4,1,-3,-5]=>[-5,-3,1,4,2]=>[4,5,1,3,2]=>[2,2,1]
[2,4,-1,3,5]=>[5,3,-1,4,2]=>[4,2,5,3,1]=>[2,2,1]
[2,4,-1,3,-5]=>[-5,3,-1,4,2]=>[4,2,5,3,1]=>[2,2,1]
[2,4,-1,-3,5]=>[5,-3,-1,4,2]=>[3,4,5,2,1]=>[3,1,1]
[2,4,-1,-3,-5]=>[-5,-3,-1,4,2]=>[3,4,5,2,1]=>[3,1,1]
[2,-4,1,3,5]=>[5,3,1,-4,2]=>[4,3,1,5,2]=>[2,2,1]
[2,-4,1,3,-5]=>[-5,3,1,-4,2]=>[4,3,1,5,2]=>[2,2,1]
[2,-4,1,-3,5]=>[5,-3,1,-4,2]=>[3,5,1,4,2]=>[2,2,1]
[2,-4,1,-3,-5]=>[-5,-3,1,-4,2]=>[3,5,1,4,2]=>[2,2,1]
[2,-4,-1,3,5]=>[5,3,-1,-4,2]=>[3,2,5,4,1]=>[2,2,1]
[2,-4,-1,3,-5]=>[-5,3,-1,-4,2]=>[3,2,5,4,1]=>[2,2,1]
[2,-4,-1,-3,5]=>[5,-3,-1,-4,2]=>[2,4,5,3,1]=>[3,1,1]
[2,-4,-1,-3,-5]=>[-5,-3,-1,-4,2]=>[2,4,5,3,1]=>[3,1,1]
[-2,4,1,3,5]=>[5,3,1,4,-2]=>[4,2,1,3,5]=>[3,1,1]
[-2,4,1,3,-5]=>[-5,3,1,4,-2]=>[4,2,1,3,5]=>[3,1,1]
[-2,4,1,-3,5]=>[5,-3,1,4,-2]=>[3,4,1,2,5]=>[3,2]
[-2,4,1,-3,-5]=>[-5,-3,1,4,-2]=>[3,4,1,2,5]=>[3,2]
[-2,4,-1,3,5]=>[5,3,-1,4,-2]=>[3,1,5,2,4]=>[3,2]
[-2,4,-1,3,-5]=>[-5,3,-1,4,-2]=>[3,1,5,2,4]=>[3,2]
[-2,4,-1,-3,5]=>[5,-3,-1,4,-2]=>[2,3,5,1,4]=>[3,2]
[-2,4,-1,-3,-5]=>[-5,-3,-1,4,-2]=>[2,3,5,1,4]=>[3,2]
[-2,-4,1,3,5]=>[5,3,1,-4,-2]=>[3,2,1,4,5]=>[3,1,1]
[-2,-4,1,3,-5]=>[-5,3,1,-4,-2]=>[3,2,1,4,5]=>[3,1,1]
[-2,-4,1,-3,5]=>[5,-3,1,-4,-2]=>[2,4,1,3,5]=>[3,2]
[-2,-4,1,-3,-5]=>[-5,-3,1,-4,-2]=>[2,4,1,3,5]=>[3,2]
[-2,-4,-1,3,5]=>[5,3,-1,-4,-2]=>[2,1,5,3,4]=>[3,2]
[-2,-4,-1,3,-5]=>[-5,3,-1,-4,-2]=>[2,1,5,3,4]=>[3,2]
[-2,-4,-1,-3,5]=>[5,-3,-1,-4,-2]=>[1,3,5,2,4]=>[3,2]
[-2,-4,-1,-3,-5]=>[-5,-3,-1,-4,-2]=>[1,3,5,2,4]=>[3,2]
[2,4,1,5,3]=>[3,5,1,4,2]=>[3,5,1,4,2]=>[2,2,1]
[2,4,1,5,-3]=>[-3,5,1,4,2]=>[5,4,1,3,2]=>[2,1,1,1]
[2,4,1,-5,3]=>[3,-5,1,4,2]=>[3,5,1,4,2]=>[2,2,1]
[2,4,1,-5,-3]=>[-3,-5,1,4,2]=>[5,4,1,3,2]=>[2,1,1,1]
[2,4,-1,5,3]=>[3,5,-1,4,2]=>[2,4,5,3,1]=>[3,1,1]
[2,4,-1,5,-3]=>[-3,5,-1,4,2]=>[4,3,5,2,1]=>[2,1,1,1]
[2,4,-1,-5,3]=>[3,-5,-1,4,2]=>[2,4,5,3,1]=>[3,1,1]
[2,4,-1,-5,-3]=>[-3,-5,-1,4,2]=>[4,3,5,2,1]=>[2,1,1,1]
[2,-4,1,5,3]=>[3,5,1,-4,2]=>[3,4,1,5,2]=>[3,2]
[2,-4,1,5,-3]=>[-3,5,1,-4,2]=>[5,3,1,4,2]=>[2,2,1]
[2,-4,1,-5,3]=>[3,-5,1,-4,2]=>[3,4,1,5,2]=>[3,2]
[2,-4,1,-5,-3]=>[-3,-5,1,-4,2]=>[5,3,1,4,2]=>[2,2,1]
[2,-4,-1,5,3]=>[3,5,-1,-4,2]=>[2,3,5,4,1]=>[3,1,1]
[2,-4,-1,5,-3]=>[-3,5,-1,-4,2]=>[4,2,5,3,1]=>[2,2,1]
[2,-4,-1,-5,3]=>[3,-5,-1,-4,2]=>[2,3,5,4,1]=>[3,1,1]
[2,-4,-1,-5,-3]=>[-3,-5,-1,-4,2]=>[4,2,5,3,1]=>[2,2,1]
[-2,4,1,5,3]=>[3,5,1,4,-2]=>[2,4,1,3,5]=>[3,2]
[-2,4,1,5,-3]=>[-3,5,1,4,-2]=>[4,3,1,2,5]=>[3,1,1]
[-2,4,1,-5,3]=>[3,-5,1,4,-2]=>[2,4,1,3,5]=>[3,2]
[-2,4,1,-5,-3]=>[-3,-5,1,4,-2]=>[4,3,1,2,5]=>[3,1,1]
[-2,4,-1,5,3]=>[3,5,-1,4,-2]=>[1,3,5,2,4]=>[3,2]
[-2,4,-1,5,-3]=>[-3,5,-1,4,-2]=>[3,2,5,1,4]=>[2,2,1]
[-2,4,-1,-5,3]=>[3,-5,-1,4,-2]=>[1,3,5,2,4]=>[3,2]
[-2,4,-1,-5,-3]=>[-3,-5,-1,4,-2]=>[3,2,5,1,4]=>[2,2,1]
[-2,-4,1,5,3]=>[3,5,1,-4,-2]=>[2,3,1,4,5]=>[4,1]
[-2,-4,1,5,-3]=>[-3,5,1,-4,-2]=>[4,2,1,3,5]=>[3,1,1]
[-2,-4,1,-5,3]=>[3,-5,1,-4,-2]=>[2,3,1,4,5]=>[4,1]
[-2,-4,1,-5,-3]=>[-3,-5,1,-4,-2]=>[4,2,1,3,5]=>[3,1,1]
[-2,-4,-1,5,3]=>[3,5,-1,-4,-2]=>[1,2,5,3,4]=>[4,1]
[-2,-4,-1,5,-3]=>[-3,5,-1,-4,-2]=>[3,1,5,2,4]=>[3,2]
[-2,-4,-1,-5,3]=>[3,-5,-1,-4,-2]=>[1,2,5,3,4]=>[4,1]
[-2,-4,-1,-5,-3]=>[-3,-5,-1,-4,-2]=>[3,1,5,2,4]=>[3,2]
[2,4,3,1,5]=>[5,1,3,4,2]=>[5,1,3,4,2]=>[3,1,1]
[2,4,3,1,-5]=>[-5,1,3,4,2]=>[5,1,3,4,2]=>[3,1,1]
[2,4,3,-1,5]=>[5,-1,3,4,2]=>[4,5,2,3,1]=>[2,2,1]
[2,4,3,-1,-5]=>[-5,-1,3,4,2]=>[4,5,2,3,1]=>[2,2,1]
[2,4,-3,1,5]=>[5,1,-3,4,2]=>[4,1,5,3,2]=>[2,2,1]
[2,4,-3,1,-5]=>[-5,1,-3,4,2]=>[4,1,5,3,2]=>[2,2,1]
[2,4,-3,-1,5]=>[5,-1,-3,4,2]=>[3,5,4,2,1]=>[2,1,1,1]
[2,4,-3,-1,-5]=>[-5,-1,-3,4,2]=>[3,5,4,2,1]=>[2,1,1,1]
[2,-4,3,1,5]=>[5,1,3,-4,2]=>[4,1,3,5,2]=>[3,1,1]
[2,-4,3,1,-5]=>[-5,1,3,-4,2]=>[4,1,3,5,2]=>[3,1,1]
[2,-4,3,-1,5]=>[5,-1,3,-4,2]=>[3,5,2,4,1]=>[2,2,1]
[2,-4,3,-1,-5]=>[-5,-1,3,-4,2]=>[3,5,2,4,1]=>[2,2,1]
[2,-4,-3,1,5]=>[5,1,-3,-4,2]=>[3,1,5,4,2]=>[2,2,1]
[2,-4,-3,1,-5]=>[-5,1,-3,-4,2]=>[3,1,5,4,2]=>[2,2,1]
[2,-4,-3,-1,5]=>[5,-1,-3,-4,2]=>[2,5,4,3,1]=>[2,1,1,1]
[2,-4,-3,-1,-5]=>[-5,-1,-3,-4,2]=>[2,5,4,3,1]=>[2,1,1,1]
[-2,4,3,1,5]=>[5,1,3,4,-2]=>[4,1,2,3,5]=>[4,1]
[-2,4,3,1,-5]=>[-5,1,3,4,-2]=>[4,1,2,3,5]=>[4,1]
[-2,4,3,-1,5]=>[5,-1,3,4,-2]=>[3,5,1,2,4]=>[3,2]
[-2,4,3,-1,-5]=>[-5,-1,3,4,-2]=>[3,5,1,2,4]=>[3,2]
[-2,4,-3,1,5]=>[5,1,-3,4,-2]=>[3,1,4,2,5]=>[3,2]
[-2,4,-3,1,-5]=>[-5,1,-3,4,-2]=>[3,1,4,2,5]=>[3,2]
[-2,4,-3,-1,5]=>[5,-1,-3,4,-2]=>[2,5,3,1,4]=>[3,1,1]
[-2,4,-3,-1,-5]=>[-5,-1,-3,4,-2]=>[2,5,3,1,4]=>[3,1,1]
[-2,-4,3,1,5]=>[5,1,3,-4,-2]=>[3,1,2,4,5]=>[4,1]
[-2,-4,3,1,-5]=>[-5,1,3,-4,-2]=>[3,1,2,4,5]=>[4,1]
[-2,-4,3,-1,5]=>[5,-1,3,-4,-2]=>[2,5,1,3,4]=>[3,2]
[-2,-4,3,-1,-5]=>[-5,-1,3,-4,-2]=>[2,5,1,3,4]=>[3,2]
[-2,-4,-3,1,5]=>[5,1,-3,-4,-2]=>[2,1,4,3,5]=>[3,2]
[-2,-4,-3,1,-5]=>[-5,1,-3,-4,-2]=>[2,1,4,3,5]=>[3,2]
[-2,-4,-3,-1,5]=>[5,-1,-3,-4,-2]=>[1,5,3,2,4]=>[3,1,1]
[-2,-4,-3,-1,-5]=>[-5,-1,-3,-4,-2]=>[1,5,3,2,4]=>[3,1,1]
[2,4,3,5,1]=>[1,5,3,4,2]=>[1,5,3,4,2]=>[3,1,1]
[2,4,3,5,-1]=>[-1,5,3,4,2]=>[5,4,2,3,1]=>[2,1,1,1]
[2,4,3,-5,1]=>[1,-5,3,4,2]=>[1,5,3,4,2]=>[3,1,1]
[2,4,3,-5,-1]=>[-1,-5,3,4,2]=>[5,4,2,3,1]=>[2,1,1,1]
[2,4,-3,5,1]=>[1,5,-3,4,2]=>[1,4,5,3,2]=>[3,1,1]
[2,4,-3,5,-1]=>[-1,5,-3,4,2]=>[5,3,4,2,1]=>[2,1,1,1]
[2,4,-3,-5,1]=>[1,-5,-3,4,2]=>[1,4,5,3,2]=>[3,1,1]
[2,4,-3,-5,-1]=>[-1,-5,-3,4,2]=>[5,3,4,2,1]=>[2,1,1,1]
[2,-4,3,5,1]=>[1,5,3,-4,2]=>[1,4,3,5,2]=>[3,1,1]
[2,-4,3,5,-1]=>[-1,5,3,-4,2]=>[5,3,2,4,1]=>[2,1,1,1]
[2,-4,3,-5,1]=>[1,-5,3,-4,2]=>[1,4,3,5,2]=>[3,1,1]
[2,-4,3,-5,-1]=>[-1,-5,3,-4,2]=>[5,3,2,4,1]=>[2,1,1,1]
[2,-4,-3,5,1]=>[1,5,-3,-4,2]=>[1,3,5,4,2]=>[3,1,1]
[2,-4,-3,5,-1]=>[-1,5,-3,-4,2]=>[5,2,4,3,1]=>[2,1,1,1]
[2,-4,-3,-5,1]=>[1,-5,-3,-4,2]=>[1,3,5,4,2]=>[3,1,1]
[2,-4,-3,-5,-1]=>[-1,-5,-3,-4,2]=>[5,2,4,3,1]=>[2,1,1,1]
[-2,4,3,5,1]=>[1,5,3,4,-2]=>[1,4,2,3,5]=>[4,1]
[-2,4,3,5,-1]=>[-1,5,3,4,-2]=>[5,3,1,2,4]=>[3,1,1]
[-2,4,3,-5,1]=>[1,-5,3,4,-2]=>[1,4,2,3,5]=>[4,1]
[-2,4,3,-5,-1]=>[-1,-5,3,4,-2]=>[5,3,1,2,4]=>[3,1,1]
[-2,4,-3,5,1]=>[1,5,-3,4,-2]=>[1,3,4,2,5]=>[4,1]
[-2,4,-3,5,-1]=>[-1,5,-3,4,-2]=>[5,2,3,1,4]=>[3,1,1]
[-2,4,-3,-5,1]=>[1,-5,-3,4,-2]=>[1,3,4,2,5]=>[4,1]
[-2,4,-3,-5,-1]=>[-1,-5,-3,4,-2]=>[5,2,3,1,4]=>[3,1,1]
[-2,-4,3,5,1]=>[1,5,3,-4,-2]=>[1,3,2,4,5]=>[4,1]
[-2,-4,3,5,-1]=>[-1,5,3,-4,-2]=>[5,2,1,3,4]=>[3,1,1]
[-2,-4,3,-5,1]=>[1,-5,3,-4,-2]=>[1,3,2,4,5]=>[4,1]
[-2,-4,3,-5,-1]=>[-1,-5,3,-4,-2]=>[5,2,1,3,4]=>[3,1,1]
[-2,-4,-3,5,1]=>[1,5,-3,-4,-2]=>[1,2,4,3,5]=>[4,1]
[-2,-4,-3,5,-1]=>[-1,5,-3,-4,-2]=>[5,1,3,2,4]=>[3,1,1]
[-2,-4,-3,-5,1]=>[1,-5,-3,-4,-2]=>[1,2,4,3,5]=>[4,1]
[-2,-4,-3,-5,-1]=>[-1,-5,-3,-4,-2]=>[5,1,3,2,4]=>[3,1,1]
[2,4,5,1,3]=>[3,1,5,4,2]=>[3,1,5,4,2]=>[2,2,1]
[2,4,5,1,-3]=>[-3,1,5,4,2]=>[5,1,4,3,2]=>[2,1,1,1]
[2,4,5,-1,3]=>[3,-1,5,4,2]=>[2,5,4,3,1]=>[2,1,1,1]
[2,4,5,-1,-3]=>[-3,-1,5,4,2]=>[4,5,3,2,1]=>[2,1,1,1]
[2,4,-5,1,3]=>[3,1,-5,4,2]=>[3,1,5,4,2]=>[2,2,1]
[2,4,-5,1,-3]=>[-3,1,-5,4,2]=>[5,1,4,3,2]=>[2,1,1,1]
[2,4,-5,-1,3]=>[3,-1,-5,4,2]=>[2,5,4,3,1]=>[2,1,1,1]
[2,4,-5,-1,-3]=>[-3,-1,-5,4,2]=>[4,5,3,2,1]=>[2,1,1,1]
[2,-4,5,1,3]=>[3,1,5,-4,2]=>[3,1,4,5,2]=>[3,2]
[2,-4,5,1,-3]=>[-3,1,5,-4,2]=>[5,1,3,4,2]=>[3,1,1]
[2,-4,5,-1,3]=>[3,-1,5,-4,2]=>[2,5,3,4,1]=>[3,1,1]
[2,-4,5,-1,-3]=>[-3,-1,5,-4,2]=>[4,5,2,3,1]=>[2,2,1]
[2,-4,-5,1,3]=>[3,1,-5,-4,2]=>[3,1,4,5,2]=>[3,2]
[2,-4,-5,1,-3]=>[-3,1,-5,-4,2]=>[5,1,3,4,2]=>[3,1,1]
[2,-4,-5,-1,3]=>[3,-1,-5,-4,2]=>[2,5,3,4,1]=>[3,1,1]
[2,-4,-5,-1,-3]=>[-3,-1,-5,-4,2]=>[4,5,2,3,1]=>[2,2,1]
[-2,4,5,1,3]=>[3,1,5,4,-2]=>[2,1,4,3,5]=>[3,2]
[-2,4,5,1,-3]=>[-3,1,5,4,-2]=>[4,1,3,2,5]=>[3,1,1]
[-2,4,5,-1,3]=>[3,-1,5,4,-2]=>[1,5,3,2,4]=>[3,1,1]
[-2,4,5,-1,-3]=>[-3,-1,5,4,-2]=>[3,5,2,1,4]=>[2,2,1]
[-2,4,-5,1,3]=>[3,1,-5,4,-2]=>[2,1,4,3,5]=>[3,2]
[-2,4,-5,1,-3]=>[-3,1,-5,4,-2]=>[4,1,3,2,5]=>[3,1,1]
[-2,4,-5,-1,3]=>[3,-1,-5,4,-2]=>[1,5,3,2,4]=>[3,1,1]
[-2,4,-5,-1,-3]=>[-3,-1,-5,4,-2]=>[3,5,2,1,4]=>[2,2,1]
[-2,-4,5,1,3]=>[3,1,5,-4,-2]=>[2,1,3,4,5]=>[4,1]
[-2,-4,5,1,-3]=>[-3,1,5,-4,-2]=>[4,1,2,3,5]=>[4,1]
[-2,-4,5,-1,3]=>[3,-1,5,-4,-2]=>[1,5,2,3,4]=>[4,1]
[-2,-4,5,-1,-3]=>[-3,-1,5,-4,-2]=>[3,5,1,2,4]=>[3,2]
[-2,-4,-5,1,3]=>[3,1,-5,-4,-2]=>[2,1,3,4,5]=>[4,1]
[-2,-4,-5,1,-3]=>[-3,1,-5,-4,-2]=>[4,1,2,3,5]=>[4,1]
[-2,-4,-5,-1,3]=>[3,-1,-5,-4,-2]=>[1,5,2,3,4]=>[4,1]
[-2,-4,-5,-1,-3]=>[-3,-1,-5,-4,-2]=>[3,5,1,2,4]=>[3,2]
[2,4,5,3,1]=>[1,3,5,4,2]=>[1,3,5,4,2]=>[3,1,1]
[2,4,5,3,-1]=>[-1,3,5,4,2]=>[5,2,4,3,1]=>[2,1,1,1]
[2,4,5,-3,1]=>[1,-3,5,4,2]=>[1,5,4,3,2]=>[2,1,1,1]
[2,4,5,-3,-1]=>[-1,-3,5,4,2]=>[5,4,3,2,1]=>[1,1,1,1,1]
[2,4,-5,3,1]=>[1,3,-5,4,2]=>[1,3,5,4,2]=>[3,1,1]
[2,4,-5,3,-1]=>[-1,3,-5,4,2]=>[5,2,4,3,1]=>[2,1,1,1]
[2,4,-5,-3,1]=>[1,-3,-5,4,2]=>[1,5,4,3,2]=>[2,1,1,1]
[2,4,-5,-3,-1]=>[-1,-3,-5,4,2]=>[5,4,3,2,1]=>[1,1,1,1,1]
[2,-4,5,3,1]=>[1,3,5,-4,2]=>[1,3,4,5,2]=>[4,1]
[2,-4,5,3,-1]=>[-1,3,5,-4,2]=>[5,2,3,4,1]=>[3,1,1]
[2,-4,5,-3,1]=>[1,-3,5,-4,2]=>[1,5,3,4,2]=>[3,1,1]
[2,-4,5,-3,-1]=>[-1,-3,5,-4,2]=>[5,4,2,3,1]=>[2,1,1,1]
[2,-4,-5,3,1]=>[1,3,-5,-4,2]=>[1,3,4,5,2]=>[4,1]
[2,-4,-5,3,-1]=>[-1,3,-5,-4,2]=>[5,2,3,4,1]=>[3,1,1]
[2,-4,-5,-3,1]=>[1,-3,-5,-4,2]=>[1,5,3,4,2]=>[3,1,1]
[2,-4,-5,-3,-1]=>[-1,-3,-5,-4,2]=>[5,4,2,3,1]=>[2,1,1,1]
[-2,4,5,3,1]=>[1,3,5,4,-2]=>[1,2,4,3,5]=>[4,1]
[-2,4,5,3,-1]=>[-1,3,5,4,-2]=>[5,1,3,2,4]=>[3,1,1]
[-2,4,5,-3,1]=>[1,-3,5,4,-2]=>[1,4,3,2,5]=>[3,1,1]
[-2,4,5,-3,-1]=>[-1,-3,5,4,-2]=>[5,3,2,1,4]=>[2,1,1,1]
[-2,4,-5,3,1]=>[1,3,-5,4,-2]=>[1,2,4,3,5]=>[4,1]
[-2,4,-5,3,-1]=>[-1,3,-5,4,-2]=>[5,1,3,2,4]=>[3,1,1]
[-2,4,-5,-3,1]=>[1,-3,-5,4,-2]=>[1,4,3,2,5]=>[3,1,1]
[-2,4,-5,-3,-1]=>[-1,-3,-5,4,-2]=>[5,3,2,1,4]=>[2,1,1,1]
[-2,-4,5,3,1]=>[1,3,5,-4,-2]=>[1,2,3,4,5]=>[5]
[-2,-4,5,3,-1]=>[-1,3,5,-4,-2]=>[5,1,2,3,4]=>[4,1]
[-2,-4,5,-3,1]=>[1,-3,5,-4,-2]=>[1,4,2,3,5]=>[4,1]
[-2,-4,5,-3,-1]=>[-1,-3,5,-4,-2]=>[5,3,1,2,4]=>[3,1,1]
[-2,-4,-5,3,1]=>[1,3,-5,-4,-2]=>[1,2,3,4,5]=>[5]
[-2,-4,-5,3,-1]=>[-1,3,-5,-4,-2]=>[5,1,2,3,4]=>[4,1]
[-2,-4,-5,-3,1]=>[1,-3,-5,-4,-2]=>[1,4,2,3,5]=>[4,1]
[-2,-4,-5,-3,-1]=>[-1,-3,-5,-4,-2]=>[5,3,1,2,4]=>[3,1,1]
[2,5,1,3,4]=>[4,3,1,5,2]=>[4,3,1,5,2]=>[2,2,1]
[2,5,1,3,-4]=>[-4,3,1,5,2]=>[5,3,1,4,2]=>[2,2,1]
[2,5,1,-3,4]=>[4,-3,1,5,2]=>[3,5,1,4,2]=>[2,2,1]
[2,5,1,-3,-4]=>[-4,-3,1,5,2]=>[4,5,1,3,2]=>[2,2,1]
[2,5,-1,3,4]=>[4,3,-1,5,2]=>[3,2,5,4,1]=>[2,2,1]
[2,5,-1,3,-4]=>[-4,3,-1,5,2]=>[4,2,5,3,1]=>[2,2,1]
[2,5,-1,-3,4]=>[4,-3,-1,5,2]=>[2,4,5,3,1]=>[3,1,1]
[2,5,-1,-3,-4]=>[-4,-3,-1,5,2]=>[3,4,5,2,1]=>[3,1,1]
[2,-5,1,3,4]=>[4,3,1,-5,2]=>[4,3,1,5,2]=>[2,2,1]
[2,-5,1,3,-4]=>[-4,3,1,-5,2]=>[5,3,1,4,2]=>[2,2,1]
[2,-5,1,-3,4]=>[4,-3,1,-5,2]=>[3,5,1,4,2]=>[2,2,1]
[2,-5,1,-3,-4]=>[-4,-3,1,-5,2]=>[4,5,1,3,2]=>[2,2,1]
[2,-5,-1,3,4]=>[4,3,-1,-5,2]=>[3,2,5,4,1]=>[2,2,1]
[2,-5,-1,3,-4]=>[-4,3,-1,-5,2]=>[4,2,5,3,1]=>[2,2,1]
[2,-5,-1,-3,4]=>[4,-3,-1,-5,2]=>[2,4,5,3,1]=>[3,1,1]
[2,-5,-1,-3,-4]=>[-4,-3,-1,-5,2]=>[3,4,5,2,1]=>[3,1,1]
[-2,5,1,3,4]=>[4,3,1,5,-2]=>[3,2,1,4,5]=>[3,1,1]
[-2,5,1,3,-4]=>[-4,3,1,5,-2]=>[4,2,1,3,5]=>[3,1,1]
[-2,5,1,-3,4]=>[4,-3,1,5,-2]=>[2,4,1,3,5]=>[3,2]
[-2,5,1,-3,-4]=>[-4,-3,1,5,-2]=>[3,4,1,2,5]=>[3,2]
[-2,5,-1,3,4]=>[4,3,-1,5,-2]=>[2,1,5,3,4]=>[3,2]
[-2,5,-1,3,-4]=>[-4,3,-1,5,-2]=>[3,1,5,2,4]=>[3,2]
[-2,5,-1,-3,4]=>[4,-3,-1,5,-2]=>[1,3,5,2,4]=>[3,2]
[-2,5,-1,-3,-4]=>[-4,-3,-1,5,-2]=>[2,3,5,1,4]=>[3,2]
[-2,-5,1,3,4]=>[4,3,1,-5,-2]=>[3,2,1,4,5]=>[3,1,1]
[-2,-5,1,3,-4]=>[-4,3,1,-5,-2]=>[4,2,1,3,5]=>[3,1,1]
[-2,-5,1,-3,4]=>[4,-3,1,-5,-2]=>[2,4,1,3,5]=>[3,2]
[-2,-5,1,-3,-4]=>[-4,-3,1,-5,-2]=>[3,4,1,2,5]=>[3,2]
[-2,-5,-1,3,4]=>[4,3,-1,-5,-2]=>[2,1,5,3,4]=>[3,2]
[-2,-5,-1,3,-4]=>[-4,3,-1,-5,-2]=>[3,1,5,2,4]=>[3,2]
[-2,-5,-1,-3,4]=>[4,-3,-1,-5,-2]=>[1,3,5,2,4]=>[3,2]
[-2,-5,-1,-3,-4]=>[-4,-3,-1,-5,-2]=>[2,3,5,1,4]=>[3,2]
[2,5,1,4,3]=>[3,4,1,5,2]=>[3,4,1,5,2]=>[3,2]
[2,5,1,4,-3]=>[-3,4,1,5,2]=>[5,3,1,4,2]=>[2,2,1]
[2,5,1,-4,3]=>[3,-4,1,5,2]=>[3,5,1,4,2]=>[2,2,1]
[2,5,1,-4,-3]=>[-3,-4,1,5,2]=>[5,4,1,3,2]=>[2,1,1,1]
[2,5,-1,4,3]=>[3,4,-1,5,2]=>[2,3,5,4,1]=>[3,1,1]
[2,5,-1,4,-3]=>[-3,4,-1,5,2]=>[4,2,5,3,1]=>[2,2,1]
[2,5,-1,-4,3]=>[3,-4,-1,5,2]=>[2,4,5,3,1]=>[3,1,1]
[2,5,-1,-4,-3]=>[-3,-4,-1,5,2]=>[4,3,5,2,1]=>[2,1,1,1]
[2,-5,1,4,3]=>[3,4,1,-5,2]=>[3,4,1,5,2]=>[3,2]
[2,-5,1,4,-3]=>[-3,4,1,-5,2]=>[5,3,1,4,2]=>[2,2,1]
[2,-5,1,-4,3]=>[3,-4,1,-5,2]=>[3,5,1,4,2]=>[2,2,1]
[2,-5,1,-4,-3]=>[-3,-4,1,-5,2]=>[5,4,1,3,2]=>[2,1,1,1]
[2,-5,-1,4,3]=>[3,4,-1,-5,2]=>[2,3,5,4,1]=>[3,1,1]
[2,-5,-1,4,-3]=>[-3,4,-1,-5,2]=>[4,2,5,3,1]=>[2,2,1]
[2,-5,-1,-4,3]=>[3,-4,-1,-5,2]=>[2,4,5,3,1]=>[3,1,1]
[2,-5,-1,-4,-3]=>[-3,-4,-1,-5,2]=>[4,3,5,2,1]=>[2,1,1,1]
[-2,5,1,4,3]=>[3,4,1,5,-2]=>[2,3,1,4,5]=>[4,1]
[-2,5,1,4,-3]=>[-3,4,1,5,-2]=>[4,2,1,3,5]=>[3,1,1]
[-2,5,1,-4,3]=>[3,-4,1,5,-2]=>[2,4,1,3,5]=>[3,2]
[-2,5,1,-4,-3]=>[-3,-4,1,5,-2]=>[4,3,1,2,5]=>[3,1,1]
[-2,5,-1,4,3]=>[3,4,-1,5,-2]=>[1,2,5,3,4]=>[4,1]
[-2,5,-1,4,-3]=>[-3,4,-1,5,-2]=>[3,1,5,2,4]=>[3,2]
[-2,5,-1,-4,3]=>[3,-4,-1,5,-2]=>[1,3,5,2,4]=>[3,2]
[-2,5,-1,-4,-3]=>[-3,-4,-1,5,-2]=>[3,2,5,1,4]=>[2,2,1]
[-2,-5,1,4,3]=>[3,4,1,-5,-2]=>[2,3,1,4,5]=>[4,1]
[-2,-5,1,4,-3]=>[-3,4,1,-5,-2]=>[4,2,1,3,5]=>[3,1,1]
[-2,-5,1,-4,3]=>[3,-4,1,-5,-2]=>[2,4,1,3,5]=>[3,2]
[-2,-5,1,-4,-3]=>[-3,-4,1,-5,-2]=>[4,3,1,2,5]=>[3,1,1]
[-2,-5,-1,4,3]=>[3,4,-1,-5,-2]=>[1,2,5,3,4]=>[4,1]
[-2,-5,-1,4,-3]=>[-3,4,-1,-5,-2]=>[3,1,5,2,4]=>[3,2]
[-2,-5,-1,-4,3]=>[3,-4,-1,-5,-2]=>[1,3,5,2,4]=>[3,2]
[-2,-5,-1,-4,-3]=>[-3,-4,-1,-5,-2]=>[3,2,5,1,4]=>[2,2,1]
[2,5,3,1,4]=>[4,1,3,5,2]=>[4,1,3,5,2]=>[3,1,1]
[2,5,3,1,-4]=>[-4,1,3,5,2]=>[5,1,3,4,2]=>[3,1,1]
[2,5,3,-1,4]=>[4,-1,3,5,2]=>[3,5,2,4,1]=>[2,2,1]
[2,5,3,-1,-4]=>[-4,-1,3,5,2]=>[4,5,2,3,1]=>[2,2,1]
[2,5,-3,1,4]=>[4,1,-3,5,2]=>[3,1,5,4,2]=>[2,2,1]
[2,5,-3,1,-4]=>[-4,1,-3,5,2]=>[4,1,5,3,2]=>[2,2,1]
[2,5,-3,-1,4]=>[4,-1,-3,5,2]=>[2,5,4,3,1]=>[2,1,1,1]
[2,5,-3,-1,-4]=>[-4,-1,-3,5,2]=>[3,5,4,2,1]=>[2,1,1,1]
[2,-5,3,1,4]=>[4,1,3,-5,2]=>[4,1,3,5,2]=>[3,1,1]
[2,-5,3,1,-4]=>[-4,1,3,-5,2]=>[5,1,3,4,2]=>[3,1,1]
[2,-5,3,-1,4]=>[4,-1,3,-5,2]=>[3,5,2,4,1]=>[2,2,1]
[2,-5,3,-1,-4]=>[-4,-1,3,-5,2]=>[4,5,2,3,1]=>[2,2,1]
[2,-5,-3,1,4]=>[4,1,-3,-5,2]=>[3,1,5,4,2]=>[2,2,1]
[2,-5,-3,1,-4]=>[-4,1,-3,-5,2]=>[4,1,5,3,2]=>[2,2,1]
[2,-5,-3,-1,4]=>[4,-1,-3,-5,2]=>[2,5,4,3,1]=>[2,1,1,1]
[2,-5,-3,-1,-4]=>[-4,-1,-3,-5,2]=>[3,5,4,2,1]=>[2,1,1,1]
[-2,5,3,1,4]=>[4,1,3,5,-2]=>[3,1,2,4,5]=>[4,1]
[-2,5,3,1,-4]=>[-4,1,3,5,-2]=>[4,1,2,3,5]=>[4,1]
[-2,5,3,-1,4]=>[4,-1,3,5,-2]=>[2,5,1,3,4]=>[3,2]
[-2,5,3,-1,-4]=>[-4,-1,3,5,-2]=>[3,5,1,2,4]=>[3,2]
[-2,5,-3,1,4]=>[4,1,-3,5,-2]=>[2,1,4,3,5]=>[3,2]
[-2,5,-3,1,-4]=>[-4,1,-3,5,-2]=>[3,1,4,2,5]=>[3,2]
[-2,5,-3,-1,4]=>[4,-1,-3,5,-2]=>[1,5,3,2,4]=>[3,1,1]
[-2,5,-3,-1,-4]=>[-4,-1,-3,5,-2]=>[2,5,3,1,4]=>[3,1,1]
[-2,-5,3,1,4]=>[4,1,3,-5,-2]=>[3,1,2,4,5]=>[4,1]
[-2,-5,3,1,-4]=>[-4,1,3,-5,-2]=>[4,1,2,3,5]=>[4,1]
[-2,-5,3,-1,4]=>[4,-1,3,-5,-2]=>[2,5,1,3,4]=>[3,2]
[-2,-5,3,-1,-4]=>[-4,-1,3,-5,-2]=>[3,5,1,2,4]=>[3,2]
[-2,-5,-3,1,4]=>[4,1,-3,-5,-2]=>[2,1,4,3,5]=>[3,2]
[-2,-5,-3,1,-4]=>[-4,1,-3,-5,-2]=>[3,1,4,2,5]=>[3,2]
[-2,-5,-3,-1,4]=>[4,-1,-3,-5,-2]=>[1,5,3,2,4]=>[3,1,1]
[-2,-5,-3,-1,-4]=>[-4,-1,-3,-5,-2]=>[2,5,3,1,4]=>[3,1,1]
[2,5,3,4,1]=>[1,4,3,5,2]=>[1,4,3,5,2]=>[3,1,1]
[2,5,3,4,-1]=>[-1,4,3,5,2]=>[5,3,2,4,1]=>[2,1,1,1]
[2,5,3,-4,1]=>[1,-4,3,5,2]=>[1,5,3,4,2]=>[3,1,1]
[2,5,3,-4,-1]=>[-1,-4,3,5,2]=>[5,4,2,3,1]=>[2,1,1,1]
[2,5,-3,4,1]=>[1,4,-3,5,2]=>[1,3,5,4,2]=>[3,1,1]
[2,5,-3,4,-1]=>[-1,4,-3,5,2]=>[5,2,4,3,1]=>[2,1,1,1]
[2,5,-3,-4,1]=>[1,-4,-3,5,2]=>[1,4,5,3,2]=>[3,1,1]
[2,5,-3,-4,-1]=>[-1,-4,-3,5,2]=>[5,3,4,2,1]=>[2,1,1,1]
[2,-5,3,4,1]=>[1,4,3,-5,2]=>[1,4,3,5,2]=>[3,1,1]
[2,-5,3,4,-1]=>[-1,4,3,-5,2]=>[5,3,2,4,1]=>[2,1,1,1]
[2,-5,3,-4,1]=>[1,-4,3,-5,2]=>[1,5,3,4,2]=>[3,1,1]
[2,-5,3,-4,-1]=>[-1,-4,3,-5,2]=>[5,4,2,3,1]=>[2,1,1,1]
[2,-5,-3,4,1]=>[1,4,-3,-5,2]=>[1,3,5,4,2]=>[3,1,1]
[2,-5,-3,4,-1]=>[-1,4,-3,-5,2]=>[5,2,4,3,1]=>[2,1,1,1]
[2,-5,-3,-4,1]=>[1,-4,-3,-5,2]=>[1,4,5,3,2]=>[3,1,1]
[2,-5,-3,-4,-1]=>[-1,-4,-3,-5,2]=>[5,3,4,2,1]=>[2,1,1,1]
[-2,5,3,4,1]=>[1,4,3,5,-2]=>[1,3,2,4,5]=>[4,1]
[-2,5,3,4,-1]=>[-1,4,3,5,-2]=>[5,2,1,3,4]=>[3,1,1]
[-2,5,3,-4,1]=>[1,-4,3,5,-2]=>[1,4,2,3,5]=>[4,1]
[-2,5,3,-4,-1]=>[-1,-4,3,5,-2]=>[5,3,1,2,4]=>[3,1,1]
[-2,5,-3,4,1]=>[1,4,-3,5,-2]=>[1,2,4,3,5]=>[4,1]
[-2,5,-3,4,-1]=>[-1,4,-3,5,-2]=>[5,1,3,2,4]=>[3,1,1]
[-2,5,-3,-4,1]=>[1,-4,-3,5,-2]=>[1,3,4,2,5]=>[4,1]
[-2,5,-3,-4,-1]=>[-1,-4,-3,5,-2]=>[5,2,3,1,4]=>[3,1,1]
[-2,-5,3,4,1]=>[1,4,3,-5,-2]=>[1,3,2,4,5]=>[4,1]
[-2,-5,3,4,-1]=>[-1,4,3,-5,-2]=>[5,2,1,3,4]=>[3,1,1]
[-2,-5,3,-4,1]=>[1,-4,3,-5,-2]=>[1,4,2,3,5]=>[4,1]
[-2,-5,3,-4,-1]=>[-1,-4,3,-5,-2]=>[5,3,1,2,4]=>[3,1,1]
[-2,-5,-3,4,1]=>[1,4,-3,-5,-2]=>[1,2,4,3,5]=>[4,1]
[-2,-5,-3,4,-1]=>[-1,4,-3,-5,-2]=>[5,1,3,2,4]=>[3,1,1]
[-2,-5,-3,-4,1]=>[1,-4,-3,-5,-2]=>[1,3,4,2,5]=>[4,1]
[-2,-5,-3,-4,-1]=>[-1,-4,-3,-5,-2]=>[5,2,3,1,4]=>[3,1,1]
[2,5,4,1,3]=>[3,1,4,5,2]=>[3,1,4,5,2]=>[3,2]
[2,5,4,1,-3]=>[-3,1,4,5,2]=>[5,1,3,4,2]=>[3,1,1]
[2,5,4,-1,3]=>[3,-1,4,5,2]=>[2,5,3,4,1]=>[3,1,1]
[2,5,4,-1,-3]=>[-3,-1,4,5,2]=>[4,5,2,3,1]=>[2,2,1]
[2,5,-4,1,3]=>[3,1,-4,5,2]=>[3,1,5,4,2]=>[2,2,1]
[2,5,-4,1,-3]=>[-3,1,-4,5,2]=>[5,1,4,3,2]=>[2,1,1,1]
[2,5,-4,-1,3]=>[3,-1,-4,5,2]=>[2,5,4,3,1]=>[2,1,1,1]
[2,5,-4,-1,-3]=>[-3,-1,-4,5,2]=>[4,5,3,2,1]=>[2,1,1,1]
[2,-5,4,1,3]=>[3,1,4,-5,2]=>[3,1,4,5,2]=>[3,2]
[2,-5,4,1,-3]=>[-3,1,4,-5,2]=>[5,1,3,4,2]=>[3,1,1]
[2,-5,4,-1,3]=>[3,-1,4,-5,2]=>[2,5,3,4,1]=>[3,1,1]
[2,-5,4,-1,-3]=>[-3,-1,4,-5,2]=>[4,5,2,3,1]=>[2,2,1]
[2,-5,-4,1,3]=>[3,1,-4,-5,2]=>[3,1,5,4,2]=>[2,2,1]
[2,-5,-4,1,-3]=>[-3,1,-4,-5,2]=>[5,1,4,3,2]=>[2,1,1,1]
[2,-5,-4,-1,3]=>[3,-1,-4,-5,2]=>[2,5,4,3,1]=>[2,1,1,1]
[2,-5,-4,-1,-3]=>[-3,-1,-4,-5,2]=>[4,5,3,2,1]=>[2,1,1,1]
[-2,5,4,1,3]=>[3,1,4,5,-2]=>[2,1,3,4,5]=>[4,1]
[-2,5,4,1,-3]=>[-3,1,4,5,-2]=>[4,1,2,3,5]=>[4,1]
[-2,5,4,-1,3]=>[3,-1,4,5,-2]=>[1,5,2,3,4]=>[4,1]
[-2,5,4,-1,-3]=>[-3,-1,4,5,-2]=>[3,5,1,2,4]=>[3,2]
[-2,5,-4,1,3]=>[3,1,-4,5,-2]=>[2,1,4,3,5]=>[3,2]
[-2,5,-4,1,-3]=>[-3,1,-4,5,-2]=>[4,1,3,2,5]=>[3,1,1]
[-2,5,-4,-1,3]=>[3,-1,-4,5,-2]=>[1,5,3,2,4]=>[3,1,1]
[-2,5,-4,-1,-3]=>[-3,-1,-4,5,-2]=>[3,5,2,1,4]=>[2,2,1]
[-2,-5,4,1,3]=>[3,1,4,-5,-2]=>[2,1,3,4,5]=>[4,1]
[-2,-5,4,1,-3]=>[-3,1,4,-5,-2]=>[4,1,2,3,5]=>[4,1]
[-2,-5,4,-1,3]=>[3,-1,4,-5,-2]=>[1,5,2,3,4]=>[4,1]
[-2,-5,4,-1,-3]=>[-3,-1,4,-5,-2]=>[3,5,1,2,4]=>[3,2]
[-2,-5,-4,1,3]=>[3,1,-4,-5,-2]=>[2,1,4,3,5]=>[3,2]
[-2,-5,-4,1,-3]=>[-3,1,-4,-5,-2]=>[4,1,3,2,5]=>[3,1,1]
[-2,-5,-4,-1,3]=>[3,-1,-4,-5,-2]=>[1,5,3,2,4]=>[3,1,1]
[-2,-5,-4,-1,-3]=>[-3,-1,-4,-5,-2]=>[3,5,2,1,4]=>[2,2,1]
[2,5,4,3,1]=>[1,3,4,5,2]=>[1,3,4,5,2]=>[4,1]
[2,5,4,3,-1]=>[-1,3,4,5,2]=>[5,2,3,4,1]=>[3,1,1]
[2,5,4,-3,1]=>[1,-3,4,5,2]=>[1,5,3,4,2]=>[3,1,1]
[2,5,4,-3,-1]=>[-1,-3,4,5,2]=>[5,4,2,3,1]=>[2,1,1,1]
[2,5,-4,3,1]=>[1,3,-4,5,2]=>[1,3,5,4,2]=>[3,1,1]
[2,5,-4,3,-1]=>[-1,3,-4,5,2]=>[5,2,4,3,1]=>[2,1,1,1]
[2,5,-4,-3,1]=>[1,-3,-4,5,2]=>[1,5,4,3,2]=>[2,1,1,1]
[2,5,-4,-3,-1]=>[-1,-3,-4,5,2]=>[5,4,3,2,1]=>[1,1,1,1,1]
[2,-5,4,3,1]=>[1,3,4,-5,2]=>[1,3,4,5,2]=>[4,1]
[2,-5,4,3,-1]=>[-1,3,4,-5,2]=>[5,2,3,4,1]=>[3,1,1]
[2,-5,4,-3,1]=>[1,-3,4,-5,2]=>[1,5,3,4,2]=>[3,1,1]
[2,-5,4,-3,-1]=>[-1,-3,4,-5,2]=>[5,4,2,3,1]=>[2,1,1,1]
[2,-5,-4,3,1]=>[1,3,-4,-5,2]=>[1,3,5,4,2]=>[3,1,1]
[2,-5,-4,3,-1]=>[-1,3,-4,-5,2]=>[5,2,4,3,1]=>[2,1,1,1]
[2,-5,-4,-3,1]=>[1,-3,-4,-5,2]=>[1,5,4,3,2]=>[2,1,1,1]
[2,-5,-4,-3,-1]=>[-1,-3,-4,-5,2]=>[5,4,3,2,1]=>[1,1,1,1,1]
[-2,5,4,3,1]=>[1,3,4,5,-2]=>[1,2,3,4,5]=>[5]
[-2,5,4,3,-1]=>[-1,3,4,5,-2]=>[5,1,2,3,4]=>[4,1]
[-2,5,4,-3,1]=>[1,-3,4,5,-2]=>[1,4,2,3,5]=>[4,1]
[-2,5,4,-3,-1]=>[-1,-3,4,5,-2]=>[5,3,1,2,4]=>[3,1,1]
[-2,5,-4,3,1]=>[1,3,-4,5,-2]=>[1,2,4,3,5]=>[4,1]
[-2,5,-4,3,-1]=>[-1,3,-4,5,-2]=>[5,1,3,2,4]=>[3,1,1]
[-2,5,-4,-3,1]=>[1,-3,-4,5,-2]=>[1,4,3,2,5]=>[3,1,1]
[-2,5,-4,-3,-1]=>[-1,-3,-4,5,-2]=>[5,3,2,1,4]=>[2,1,1,1]
[-2,-5,4,3,1]=>[1,3,4,-5,-2]=>[1,2,3,4,5]=>[5]
[-2,-5,4,3,-1]=>[-1,3,4,-5,-2]=>[5,1,2,3,4]=>[4,1]
[-2,-5,4,-3,1]=>[1,-3,4,-5,-2]=>[1,4,2,3,5]=>[4,1]
[-2,-5,4,-3,-1]=>[-1,-3,4,-5,-2]=>[5,3,1,2,4]=>[3,1,1]
[-2,-5,-4,3,1]=>[1,3,-4,-5,-2]=>[1,2,4,3,5]=>[4,1]
[-2,-5,-4,3,-1]=>[-1,3,-4,-5,-2]=>[5,1,3,2,4]=>[3,1,1]
[-2,-5,-4,-3,1]=>[1,-3,-4,-5,-2]=>[1,4,3,2,5]=>[3,1,1]
[-2,-5,-4,-3,-1]=>[-1,-3,-4,-5,-2]=>[5,3,2,1,4]=>[2,1,1,1]
[3,1,2,4,5]=>[5,4,2,1,3]=>[5,4,2,1,3]=>[2,1,1,1]
[3,1,2,4,-5]=>[-5,4,2,1,3]=>[5,4,2,1,3]=>[2,1,1,1]
[3,1,2,-4,5]=>[5,-4,2,1,3]=>[4,5,2,1,3]=>[2,2,1]
[3,1,2,-4,-5]=>[-5,-4,2,1,3]=>[4,5,2,1,3]=>[2,2,1]
[3,1,-2,4,5]=>[5,4,-2,1,3]=>[4,3,5,1,2]=>[2,2,1]
[3,1,-2,4,-5]=>[-5,4,-2,1,3]=>[4,3,5,1,2]=>[2,2,1]
[3,1,-2,-4,5]=>[5,-4,-2,1,3]=>[3,4,5,1,2]=>[3,2]
[3,1,-2,-4,-5]=>[-5,-4,-2,1,3]=>[3,4,5,1,2]=>[3,2]
[3,-1,2,4,5]=>[5,4,2,-1,3]=>[4,3,1,5,2]=>[2,2,1]
[3,-1,2,4,-5]=>[-5,4,2,-1,3]=>[4,3,1,5,2]=>[2,2,1]
[3,-1,2,-4,5]=>[5,-4,2,-1,3]=>[3,4,1,5,2]=>[3,2]
[3,-1,2,-4,-5]=>[-5,-4,2,-1,3]=>[3,4,1,5,2]=>[3,2]
[3,-1,-2,4,5]=>[5,4,-2,-1,3]=>[3,2,4,5,1]=>[3,1,1]
[3,-1,-2,4,-5]=>[-5,4,-2,-1,3]=>[3,2,4,5,1]=>[3,1,1]
[3,-1,-2,-4,5]=>[5,-4,-2,-1,3]=>[2,3,4,5,1]=>[4,1]
[3,-1,-2,-4,-5]=>[-5,-4,-2,-1,3]=>[2,3,4,5,1]=>[4,1]
[-3,1,2,4,5]=>[5,4,2,1,-3]=>[4,3,2,1,5]=>[2,1,1,1]
[-3,1,2,4,-5]=>[-5,4,2,1,-3]=>[4,3,2,1,5]=>[2,1,1,1]
[-3,1,2,-4,5]=>[5,-4,2,1,-3]=>[3,4,2,1,5]=>[3,1,1]
[-3,1,2,-4,-5]=>[-5,-4,2,1,-3]=>[3,4,2,1,5]=>[3,1,1]
[-3,1,-2,4,5]=>[5,4,-2,1,-3]=>[3,2,5,1,4]=>[2,2,1]
[-3,1,-2,4,-5]=>[-5,4,-2,1,-3]=>[3,2,5,1,4]=>[2,2,1]
[-3,1,-2,-4,5]=>[5,-4,-2,1,-3]=>[2,3,5,1,4]=>[3,2]
[-3,1,-2,-4,-5]=>[-5,-4,-2,1,-3]=>[2,3,5,1,4]=>[3,2]
[-3,-1,2,4,5]=>[5,4,2,-1,-3]=>[3,2,1,5,4]=>[2,2,1]
[-3,-1,2,4,-5]=>[-5,4,2,-1,-3]=>[3,2,1,5,4]=>[2,2,1]
[-3,-1,2,-4,5]=>[5,-4,2,-1,-3]=>[2,3,1,5,4]=>[3,2]
[-3,-1,2,-4,-5]=>[-5,-4,2,-1,-3]=>[2,3,1,5,4]=>[3,2]
[-3,-1,-2,4,5]=>[5,4,-2,-1,-3]=>[2,1,4,5,3]=>[3,2]
[-3,-1,-2,4,-5]=>[-5,4,-2,-1,-3]=>[2,1,4,5,3]=>[3,2]
[-3,-1,-2,-4,5]=>[5,-4,-2,-1,-3]=>[1,2,4,5,3]=>[4,1]
[-3,-1,-2,-4,-5]=>[-5,-4,-2,-1,-3]=>[1,2,4,5,3]=>[4,1]
[3,1,2,5,4]=>[4,5,2,1,3]=>[4,5,2,1,3]=>[2,2,1]
[3,1,2,5,-4]=>[-4,5,2,1,3]=>[5,4,2,1,3]=>[2,1,1,1]
[3,1,2,-5,4]=>[4,-5,2,1,3]=>[4,5,2,1,3]=>[2,2,1]
[3,1,2,-5,-4]=>[-4,-5,2,1,3]=>[5,4,2,1,3]=>[2,1,1,1]
[3,1,-2,5,4]=>[4,5,-2,1,3]=>[3,4,5,1,2]=>[3,2]
[3,1,-2,5,-4]=>[-4,5,-2,1,3]=>[4,3,5,1,2]=>[2,2,1]
[3,1,-2,-5,4]=>[4,-5,-2,1,3]=>[3,4,5,1,2]=>[3,2]
[3,1,-2,-5,-4]=>[-4,-5,-2,1,3]=>[4,3,5,1,2]=>[2,2,1]
[3,-1,2,5,4]=>[4,5,2,-1,3]=>[3,4,1,5,2]=>[3,2]
[3,-1,2,5,-4]=>[-4,5,2,-1,3]=>[4,3,1,5,2]=>[2,2,1]
[3,-1,2,-5,4]=>[4,-5,2,-1,3]=>[3,4,1,5,2]=>[3,2]
[3,-1,2,-5,-4]=>[-4,-5,2,-1,3]=>[4,3,1,5,2]=>[2,2,1]
[3,-1,-2,5,4]=>[4,5,-2,-1,3]=>[2,3,4,5,1]=>[4,1]
[3,-1,-2,5,-4]=>[-4,5,-2,-1,3]=>[3,2,4,5,1]=>[3,1,1]
[3,-1,-2,-5,4]=>[4,-5,-2,-1,3]=>[2,3,4,5,1]=>[4,1]
[3,-1,-2,-5,-4]=>[-4,-5,-2,-1,3]=>[3,2,4,5,1]=>[3,1,1]
[-3,1,2,5,4]=>[4,5,2,1,-3]=>[3,4,2,1,5]=>[3,1,1]
[-3,1,2,5,-4]=>[-4,5,2,1,-3]=>[4,3,2,1,5]=>[2,1,1,1]
[-3,1,2,-5,4]=>[4,-5,2,1,-3]=>[3,4,2,1,5]=>[3,1,1]
[-3,1,2,-5,-4]=>[-4,-5,2,1,-3]=>[4,3,2,1,5]=>[2,1,1,1]
[-3,1,-2,5,4]=>[4,5,-2,1,-3]=>[2,3,5,1,4]=>[3,2]
[-3,1,-2,5,-4]=>[-4,5,-2,1,-3]=>[3,2,5,1,4]=>[2,2,1]
[-3,1,-2,-5,4]=>[4,-5,-2,1,-3]=>[2,3,5,1,4]=>[3,2]
[-3,1,-2,-5,-4]=>[-4,-5,-2,1,-3]=>[3,2,5,1,4]=>[2,2,1]
[-3,-1,2,5,4]=>[4,5,2,-1,-3]=>[2,3,1,5,4]=>[3,2]
[-3,-1,2,5,-4]=>[-4,5,2,-1,-3]=>[3,2,1,5,4]=>[2,2,1]
[-3,-1,2,-5,4]=>[4,-5,2,-1,-3]=>[2,3,1,5,4]=>[3,2]
[-3,-1,2,-5,-4]=>[-4,-5,2,-1,-3]=>[3,2,1,5,4]=>[2,2,1]
[-3,-1,-2,5,4]=>[4,5,-2,-1,-3]=>[1,2,4,5,3]=>[4,1]
[-3,-1,-2,5,-4]=>[-4,5,-2,-1,-3]=>[2,1,4,5,3]=>[3,2]
[-3,-1,-2,-5,4]=>[4,-5,-2,-1,-3]=>[1,2,4,5,3]=>[4,1]
[-3,-1,-2,-5,-4]=>[-4,-5,-2,-1,-3]=>[2,1,4,5,3]=>[3,2]
[3,1,4,2,5]=>[5,2,4,1,3]=>[5,2,4,1,3]=>[2,2,1]
[3,1,4,2,-5]=>[-5,2,4,1,3]=>[5,2,4,1,3]=>[2,2,1]
[3,1,4,-2,5]=>[5,-2,4,1,3]=>[4,5,3,1,2]=>[2,2,1]
[3,1,4,-2,-5]=>[-5,-2,4,1,3]=>[4,5,3,1,2]=>[2,2,1]
[3,1,-4,2,5]=>[5,2,-4,1,3]=>[4,2,5,1,3]=>[2,2,1]
[3,1,-4,2,-5]=>[-5,2,-4,1,3]=>[4,2,5,1,3]=>[2,2,1]
[3,1,-4,-2,5]=>[5,-2,-4,1,3]=>[3,5,4,1,2]=>[2,2,1]
[3,1,-4,-2,-5]=>[-5,-2,-4,1,3]=>[3,5,4,1,2]=>[2,2,1]
[3,-1,4,2,5]=>[5,2,4,-1,3]=>[4,1,3,5,2]=>[3,1,1]
[3,-1,4,2,-5]=>[-5,2,4,-1,3]=>[4,1,3,5,2]=>[3,1,1]
[3,-1,4,-2,5]=>[5,-2,4,-1,3]=>[3,4,2,5,1]=>[3,1,1]
[3,-1,4,-2,-5]=>[-5,-2,4,-1,3]=>[3,4,2,5,1]=>[3,1,1]
[3,-1,-4,2,5]=>[5,2,-4,-1,3]=>[3,1,4,5,2]=>[3,2]
[3,-1,-4,2,-5]=>[-5,2,-4,-1,3]=>[3,1,4,5,2]=>[3,2]
[3,-1,-4,-2,5]=>[5,-2,-4,-1,3]=>[2,4,3,5,1]=>[3,1,1]
[3,-1,-4,-2,-5]=>[-5,-2,-4,-1,3]=>[2,4,3,5,1]=>[3,1,1]
[-3,1,4,2,5]=>[5,2,4,1,-3]=>[4,2,3,1,5]=>[3,1,1]
[-3,1,4,2,-5]=>[-5,2,4,1,-3]=>[4,2,3,1,5]=>[3,1,1]
[-3,1,4,-2,5]=>[5,-2,4,1,-3]=>[3,5,2,1,4]=>[2,2,1]
[-3,1,4,-2,-5]=>[-5,-2,4,1,-3]=>[3,5,2,1,4]=>[2,2,1]
[-3,1,-4,2,5]=>[5,2,-4,1,-3]=>[3,2,4,1,5]=>[3,1,1]
[-3,1,-4,2,-5]=>[-5,2,-4,1,-3]=>[3,2,4,1,5]=>[3,1,1]
[-3,1,-4,-2,5]=>[5,-2,-4,1,-3]=>[2,5,3,1,4]=>[3,1,1]
[-3,1,-4,-2,-5]=>[-5,-2,-4,1,-3]=>[2,5,3,1,4]=>[3,1,1]
[-3,-1,4,2,5]=>[5,2,4,-1,-3]=>[3,1,2,5,4]=>[3,2]
[-3,-1,4,2,-5]=>[-5,2,4,-1,-3]=>[3,1,2,5,4]=>[3,2]
[-3,-1,4,-2,5]=>[5,-2,4,-1,-3]=>[2,4,1,5,3]=>[3,2]
[-3,-1,4,-2,-5]=>[-5,-2,4,-1,-3]=>[2,4,1,5,3]=>[3,2]
[-3,-1,-4,2,5]=>[5,2,-4,-1,-3]=>[2,1,3,5,4]=>[3,2]
[-3,-1,-4,2,-5]=>[-5,2,-4,-1,-3]=>[2,1,3,5,4]=>[3,2]
[-3,-1,-4,-2,5]=>[5,-2,-4,-1,-3]=>[1,4,2,5,3]=>[3,2]
[-3,-1,-4,-2,-5]=>[-5,-2,-4,-1,-3]=>[1,4,2,5,3]=>[3,2]
[3,1,4,5,2]=>[2,5,4,1,3]=>[2,5,4,1,3]=>[2,2,1]
[3,1,4,5,-2]=>[-2,5,4,1,3]=>[5,4,3,1,2]=>[2,1,1,1]
[3,1,4,-5,2]=>[2,-5,4,1,3]=>[2,5,4,1,3]=>[2,2,1]
[3,1,4,-5,-2]=>[-2,-5,4,1,3]=>[5,4,3,1,2]=>[2,1,1,1]
[3,1,-4,5,2]=>[2,5,-4,1,3]=>[2,4,5,1,3]=>[3,2]
[3,1,-4,5,-2]=>[-2,5,-4,1,3]=>[5,3,4,1,2]=>[2,2,1]
[3,1,-4,-5,2]=>[2,-5,-4,1,3]=>[2,4,5,1,3]=>[3,2]
[3,1,-4,-5,-2]=>[-2,-5,-4,1,3]=>[5,3,4,1,2]=>[2,2,1]
[3,-1,4,5,2]=>[2,5,4,-1,3]=>[1,4,3,5,2]=>[3,1,1]
[3,-1,4,5,-2]=>[-2,5,4,-1,3]=>[4,3,2,5,1]=>[2,1,1,1]
[3,-1,4,-5,2]=>[2,-5,4,-1,3]=>[1,4,3,5,2]=>[3,1,1]
[3,-1,4,-5,-2]=>[-2,-5,4,-1,3]=>[4,3,2,5,1]=>[2,1,1,1]
[3,-1,-4,5,2]=>[2,5,-4,-1,3]=>[1,3,4,5,2]=>[4,1]
[3,-1,-4,5,-2]=>[-2,5,-4,-1,3]=>[4,2,3,5,1]=>[3,1,1]
[3,-1,-4,-5,2]=>[2,-5,-4,-1,3]=>[1,3,4,5,2]=>[4,1]
[3,-1,-4,-5,-2]=>[-2,-5,-4,-1,3]=>[4,2,3,5,1]=>[3,1,1]
[-3,1,4,5,2]=>[2,5,4,1,-3]=>[2,4,3,1,5]=>[3,1,1]
[-3,1,4,5,-2]=>[-2,5,4,1,-3]=>[5,3,2,1,4]=>[2,1,1,1]
[-3,1,4,-5,2]=>[2,-5,4,1,-3]=>[2,4,3,1,5]=>[3,1,1]
[-3,1,4,-5,-2]=>[-2,-5,4,1,-3]=>[5,3,2,1,4]=>[2,1,1,1]
[-3,1,-4,5,2]=>[2,5,-4,1,-3]=>[2,3,4,1,5]=>[4,1]
[-3,1,-4,5,-2]=>[-2,5,-4,1,-3]=>[5,2,3,1,4]=>[3,1,1]
[-3,1,-4,-5,2]=>[2,-5,-4,1,-3]=>[2,3,4,1,5]=>[4,1]
[-3,1,-4,-5,-2]=>[-2,-5,-4,1,-3]=>[5,2,3,1,4]=>[3,1,1]
[-3,-1,4,5,2]=>[2,5,4,-1,-3]=>[1,3,2,5,4]=>[3,2]
[-3,-1,4,5,-2]=>[-2,5,4,-1,-3]=>[4,2,1,5,3]=>[2,2,1]
[-3,-1,4,-5,2]=>[2,-5,4,-1,-3]=>[1,3,2,5,4]=>[3,2]
[-3,-1,4,-5,-2]=>[-2,-5,4,-1,-3]=>[4,2,1,5,3]=>[2,2,1]
[-3,-1,-4,5,2]=>[2,5,-4,-1,-3]=>[1,2,3,5,4]=>[4,1]
[-3,-1,-4,5,-2]=>[-2,5,-4,-1,-3]=>[4,1,2,5,3]=>[3,2]
[-3,-1,-4,-5,2]=>[2,-5,-4,-1,-3]=>[1,2,3,5,4]=>[4,1]
[-3,-1,-4,-5,-2]=>[-2,-5,-4,-1,-3]=>[4,1,2,5,3]=>[3,2]
[3,1,5,2,4]=>[4,2,5,1,3]=>[4,2,5,1,3]=>[2,2,1]
[3,1,5,2,-4]=>[-4,2,5,1,3]=>[5,2,4,1,3]=>[2,2,1]
[3,1,5,-2,4]=>[4,-2,5,1,3]=>[3,5,4,1,2]=>[2,2,1]
[3,1,5,-2,-4]=>[-4,-2,5,1,3]=>[4,5,3,1,2]=>[2,2,1]
[3,1,-5,2,4]=>[4,2,-5,1,3]=>[4,2,5,1,3]=>[2,2,1]
[3,1,-5,2,-4]=>[-4,2,-5,1,3]=>[5,2,4,1,3]=>[2,2,1]
[3,1,-5,-2,4]=>[4,-2,-5,1,3]=>[3,5,4,1,2]=>[2,2,1]
[3,1,-5,-2,-4]=>[-4,-2,-5,1,3]=>[4,5,3,1,2]=>[2,2,1]
[3,-1,5,2,4]=>[4,2,5,-1,3]=>[3,1,4,5,2]=>[3,2]
[3,-1,5,2,-4]=>[-4,2,5,-1,3]=>[4,1,3,5,2]=>[3,1,1]
[3,-1,5,-2,4]=>[4,-2,5,-1,3]=>[2,4,3,5,1]=>[3,1,1]
[3,-1,5,-2,-4]=>[-4,-2,5,-1,3]=>[3,4,2,5,1]=>[3,1,1]
[3,-1,-5,2,4]=>[4,2,-5,-1,3]=>[3,1,4,5,2]=>[3,2]
[3,-1,-5,2,-4]=>[-4,2,-5,-1,3]=>[4,1,3,5,2]=>[3,1,1]
[3,-1,-5,-2,4]=>[4,-2,-5,-1,3]=>[2,4,3,5,1]=>[3,1,1]
[3,-1,-5,-2,-4]=>[-4,-2,-5,-1,3]=>[3,4,2,5,1]=>[3,1,1]
[-3,1,5,2,4]=>[4,2,5,1,-3]=>[3,2,4,1,5]=>[3,1,1]
[-3,1,5,2,-4]=>[-4,2,5,1,-3]=>[4,2,3,1,5]=>[3,1,1]
[-3,1,5,-2,4]=>[4,-2,5,1,-3]=>[2,5,3,1,4]=>[3,1,1]
[-3,1,5,-2,-4]=>[-4,-2,5,1,-3]=>[3,5,2,1,4]=>[2,2,1]
[-3,1,-5,2,4]=>[4,2,-5,1,-3]=>[3,2,4,1,5]=>[3,1,1]
[-3,1,-5,2,-4]=>[-4,2,-5,1,-3]=>[4,2,3,1,5]=>[3,1,1]
[-3,1,-5,-2,4]=>[4,-2,-5,1,-3]=>[2,5,3,1,4]=>[3,1,1]
[-3,1,-5,-2,-4]=>[-4,-2,-5,1,-3]=>[3,5,2,1,4]=>[2,2,1]
[-3,-1,5,2,4]=>[4,2,5,-1,-3]=>[2,1,3,5,4]=>[3,2]
[-3,-1,5,2,-4]=>[-4,2,5,-1,-3]=>[3,1,2,5,4]=>[3,2]
[-3,-1,5,-2,4]=>[4,-2,5,-1,-3]=>[1,4,2,5,3]=>[3,2]
[-3,-1,5,-2,-4]=>[-4,-2,5,-1,-3]=>[2,4,1,5,3]=>[3,2]
[-3,-1,-5,2,4]=>[4,2,-5,-1,-3]=>[2,1,3,5,4]=>[3,2]
[-3,-1,-5,2,-4]=>[-4,2,-5,-1,-3]=>[3,1,2,5,4]=>[3,2]
[-3,-1,-5,-2,4]=>[4,-2,-5,-1,-3]=>[1,4,2,5,3]=>[3,2]
[-3,-1,-5,-2,-4]=>[-4,-2,-5,-1,-3]=>[2,4,1,5,3]=>[3,2]
[3,1,5,4,2]=>[2,4,5,1,3]=>[2,4,5,1,3]=>[3,2]
[3,1,5,4,-2]=>[-2,4,5,1,3]=>[5,3,4,1,2]=>[2,2,1]
[3,1,5,-4,2]=>[2,-4,5,1,3]=>[2,5,4,1,3]=>[2,2,1]
[3,1,5,-4,-2]=>[-2,-4,5,1,3]=>[5,4,3,1,2]=>[2,1,1,1]
[3,1,-5,4,2]=>[2,4,-5,1,3]=>[2,4,5,1,3]=>[3,2]
[3,1,-5,4,-2]=>[-2,4,-5,1,3]=>[5,3,4,1,2]=>[2,2,1]
[3,1,-5,-4,2]=>[2,-4,-5,1,3]=>[2,5,4,1,3]=>[2,2,1]
[3,1,-5,-4,-2]=>[-2,-4,-5,1,3]=>[5,4,3,1,2]=>[2,1,1,1]
[3,-1,5,4,2]=>[2,4,5,-1,3]=>[1,3,4,5,2]=>[4,1]
[3,-1,5,4,-2]=>[-2,4,5,-1,3]=>[4,2,3,5,1]=>[3,1,1]
[3,-1,5,-4,2]=>[2,-4,5,-1,3]=>[1,4,3,5,2]=>[3,1,1]
[3,-1,5,-4,-2]=>[-2,-4,5,-1,3]=>[4,3,2,5,1]=>[2,1,1,1]
[3,-1,-5,4,2]=>[2,4,-5,-1,3]=>[1,3,4,5,2]=>[4,1]
[3,-1,-5,4,-2]=>[-2,4,-5,-1,3]=>[4,2,3,5,1]=>[3,1,1]
[3,-1,-5,-4,2]=>[2,-4,-5,-1,3]=>[1,4,3,5,2]=>[3,1,1]
[3,-1,-5,-4,-2]=>[-2,-4,-5,-1,3]=>[4,3,2,5,1]=>[2,1,1,1]
[-3,1,5,4,2]=>[2,4,5,1,-3]=>[2,3,4,1,5]=>[4,1]
[-3,1,5,4,-2]=>[-2,4,5,1,-3]=>[5,2,3,1,4]=>[3,1,1]
[-3,1,5,-4,2]=>[2,-4,5,1,-3]=>[2,4,3,1,5]=>[3,1,1]
[-3,1,5,-4,-2]=>[-2,-4,5,1,-3]=>[5,3,2,1,4]=>[2,1,1,1]
[-3,1,-5,4,2]=>[2,4,-5,1,-3]=>[2,3,4,1,5]=>[4,1]
[-3,1,-5,4,-2]=>[-2,4,-5,1,-3]=>[5,2,3,1,4]=>[3,1,1]
[-3,1,-5,-4,2]=>[2,-4,-5,1,-3]=>[2,4,3,1,5]=>[3,1,1]
[-3,1,-5,-4,-2]=>[-2,-4,-5,1,-3]=>[5,3,2,1,4]=>[2,1,1,1]
[-3,-1,5,4,2]=>[2,4,5,-1,-3]=>[1,2,3,5,4]=>[4,1]
[-3,-1,5,4,-2]=>[-2,4,5,-1,-3]=>[4,1,2,5,3]=>[3,2]
[-3,-1,5,-4,2]=>[2,-4,5,-1,-3]=>[1,3,2,5,4]=>[3,2]
[-3,-1,5,-4,-2]=>[-2,-4,5,-1,-3]=>[4,2,1,5,3]=>[2,2,1]
[-3,-1,-5,4,2]=>[2,4,-5,-1,-3]=>[1,2,3,5,4]=>[4,1]
[-3,-1,-5,4,-2]=>[-2,4,-5,-1,-3]=>[4,1,2,5,3]=>[3,2]
[-3,-1,-5,-4,2]=>[2,-4,-5,-1,-3]=>[1,3,2,5,4]=>[3,2]
[-3,-1,-5,-4,-2]=>[-2,-4,-5,-1,-3]=>[4,2,1,5,3]=>[2,2,1]
[3,2,1,4,5]=>[5,4,1,2,3]=>[5,4,1,2,3]=>[3,1,1]
[3,2,1,4,-5]=>[-5,4,1,2,3]=>[5,4,1,2,3]=>[3,1,1]
[3,2,1,-4,5]=>[5,-4,1,2,3]=>[4,5,1,2,3]=>[3,2]
[3,2,1,-4,-5]=>[-5,-4,1,2,3]=>[4,5,1,2,3]=>[3,2]
[3,2,-1,4,5]=>[5,4,-1,2,3]=>[4,3,5,1,2]=>[2,2,1]
[3,2,-1,4,-5]=>[-5,4,-1,2,3]=>[4,3,5,1,2]=>[2,2,1]
[3,2,-1,-4,5]=>[5,-4,-1,2,3]=>[3,4,5,1,2]=>[3,2]
[3,2,-1,-4,-5]=>[-5,-4,-1,2,3]=>[3,4,5,1,2]=>[3,2]
[3,-2,1,4,5]=>[5,4,1,-2,3]=>[4,3,1,5,2]=>[2,2,1]
[3,-2,1,4,-5]=>[-5,4,1,-2,3]=>[4,3,1,5,2]=>[2,2,1]
[3,-2,1,-4,5]=>[5,-4,1,-2,3]=>[3,4,1,5,2]=>[3,2]
[3,-2,1,-4,-5]=>[-5,-4,1,-2,3]=>[3,4,1,5,2]=>[3,2]
[3,-2,-1,4,5]=>[5,4,-1,-2,3]=>[3,2,5,4,1]=>[2,2,1]
[3,-2,-1,4,-5]=>[-5,4,-1,-2,3]=>[3,2,5,4,1]=>[2,2,1]
[3,-2,-1,-4,5]=>[5,-4,-1,-2,3]=>[2,3,5,4,1]=>[3,1,1]
[3,-2,-1,-4,-5]=>[-5,-4,-1,-2,3]=>[2,3,5,4,1]=>[3,1,1]
[-3,2,1,4,5]=>[5,4,1,2,-3]=>[4,3,1,2,5]=>[3,1,1]
[-3,2,1,4,-5]=>[-5,4,1,2,-3]=>[4,3,1,2,5]=>[3,1,1]
[-3,2,1,-4,5]=>[5,-4,1,2,-3]=>[3,4,1,2,5]=>[3,2]
[-3,2,1,-4,-5]=>[-5,-4,1,2,-3]=>[3,4,1,2,5]=>[3,2]
[-3,2,-1,4,5]=>[5,4,-1,2,-3]=>[3,2,5,1,4]=>[2,2,1]
[-3,2,-1,4,-5]=>[-5,4,-1,2,-3]=>[3,2,5,1,4]=>[2,2,1]
[-3,2,-1,-4,5]=>[5,-4,-1,2,-3]=>[2,3,5,1,4]=>[3,2]
[-3,2,-1,-4,-5]=>[-5,-4,-1,2,-3]=>[2,3,5,1,4]=>[3,2]
[-3,-2,1,4,5]=>[5,4,1,-2,-3]=>[3,2,1,5,4]=>[2,2,1]
[-3,-2,1,4,-5]=>[-5,4,1,-2,-3]=>[3,2,1,5,4]=>[2,2,1]
[-3,-2,1,-4,5]=>[5,-4,1,-2,-3]=>[2,3,1,5,4]=>[3,2]
[-3,-2,1,-4,-5]=>[-5,-4,1,-2,-3]=>[2,3,1,5,4]=>[3,2]
[-3,-2,-1,4,5]=>[5,4,-1,-2,-3]=>[2,1,5,4,3]=>[2,2,1]
[-3,-2,-1,4,-5]=>[-5,4,-1,-2,-3]=>[2,1,5,4,3]=>[2,2,1]
[-3,-2,-1,-4,5]=>[5,-4,-1,-2,-3]=>[1,2,5,4,3]=>[3,1,1]
[-3,-2,-1,-4,-5]=>[-5,-4,-1,-2,-3]=>[1,2,5,4,3]=>[3,1,1]
[3,2,1,5,4]=>[4,5,1,2,3]=>[4,5,1,2,3]=>[3,2]
[3,2,1,5,-4]=>[-4,5,1,2,3]=>[5,4,1,2,3]=>[3,1,1]
[3,2,1,-5,4]=>[4,-5,1,2,3]=>[4,5,1,2,3]=>[3,2]
[3,2,1,-5,-4]=>[-4,-5,1,2,3]=>[5,4,1,2,3]=>[3,1,1]
[3,2,-1,5,4]=>[4,5,-1,2,3]=>[3,4,5,1,2]=>[3,2]
[3,2,-1,5,-4]=>[-4,5,-1,2,3]=>[4,3,5,1,2]=>[2,2,1]
[3,2,-1,-5,4]=>[4,-5,-1,2,3]=>[3,4,5,1,2]=>[3,2]
[3,2,-1,-5,-4]=>[-4,-5,-1,2,3]=>[4,3,5,1,2]=>[2,2,1]
[3,-2,1,5,4]=>[4,5,1,-2,3]=>[3,4,1,5,2]=>[3,2]
[3,-2,1,5,-4]=>[-4,5,1,-2,3]=>[4,3,1,5,2]=>[2,2,1]
[3,-2,1,-5,4]=>[4,-5,1,-2,3]=>[3,4,1,5,2]=>[3,2]
[3,-2,1,-5,-4]=>[-4,-5,1,-2,3]=>[4,3,1,5,2]=>[2,2,1]
[3,-2,-1,5,4]=>[4,5,-1,-2,3]=>[2,3,5,4,1]=>[3,1,1]
[3,-2,-1,5,-4]=>[-4,5,-1,-2,3]=>[3,2,5,4,1]=>[2,2,1]
[3,-2,-1,-5,4]=>[4,-5,-1,-2,3]=>[2,3,5,4,1]=>[3,1,1]
[3,-2,-1,-5,-4]=>[-4,-5,-1,-2,3]=>[3,2,5,4,1]=>[2,2,1]
[-3,2,1,5,4]=>[4,5,1,2,-3]=>[3,4,1,2,5]=>[3,2]
[-3,2,1,5,-4]=>[-4,5,1,2,-3]=>[4,3,1,2,5]=>[3,1,1]
[-3,2,1,-5,4]=>[4,-5,1,2,-3]=>[3,4,1,2,5]=>[3,2]
[-3,2,1,-5,-4]=>[-4,-5,1,2,-3]=>[4,3,1,2,5]=>[3,1,1]
[-3,2,-1,5,4]=>[4,5,-1,2,-3]=>[2,3,5,1,4]=>[3,2]
[-3,2,-1,5,-4]=>[-4,5,-1,2,-3]=>[3,2,5,1,4]=>[2,2,1]
[-3,2,-1,-5,4]=>[4,-5,-1,2,-3]=>[2,3,5,1,4]=>[3,2]
[-3,2,-1,-5,-4]=>[-4,-5,-1,2,-3]=>[3,2,5,1,4]=>[2,2,1]
[-3,-2,1,5,4]=>[4,5,1,-2,-3]=>[2,3,1,5,4]=>[3,2]
[-3,-2,1,5,-4]=>[-4,5,1,-2,-3]=>[3,2,1,5,4]=>[2,2,1]
[-3,-2,1,-5,4]=>[4,-5,1,-2,-3]=>[2,3,1,5,4]=>[3,2]
[-3,-2,1,-5,-4]=>[-4,-5,1,-2,-3]=>[3,2,1,5,4]=>[2,2,1]
[-3,-2,-1,5,4]=>[4,5,-1,-2,-3]=>[1,2,5,4,3]=>[3,1,1]
[-3,-2,-1,5,-4]=>[-4,5,-1,-2,-3]=>[2,1,5,4,3]=>[2,2,1]
[-3,-2,-1,-5,4]=>[4,-5,-1,-2,-3]=>[1,2,5,4,3]=>[3,1,1]
[-3,-2,-1,-5,-4]=>[-4,-5,-1,-2,-3]=>[2,1,5,4,3]=>[2,2,1]
[3,2,4,1,5]=>[5,1,4,2,3]=>[5,1,4,2,3]=>[3,1,1]
[3,2,4,1,-5]=>[-5,1,4,2,3]=>[5,1,4,2,3]=>[3,1,1]
[3,2,4,-1,5]=>[5,-1,4,2,3]=>[4,5,3,1,2]=>[2,2,1]
[3,2,4,-1,-5]=>[-5,-1,4,2,3]=>[4,5,3,1,2]=>[2,2,1]
[3,2,-4,1,5]=>[5,1,-4,2,3]=>[4,1,5,2,3]=>[3,2]
[3,2,-4,1,-5]=>[-5,1,-4,2,3]=>[4,1,5,2,3]=>[3,2]
[3,2,-4,-1,5]=>[5,-1,-4,2,3]=>[3,5,4,1,2]=>[2,2,1]
[3,2,-4,-1,-5]=>[-5,-1,-4,2,3]=>[3,5,4,1,2]=>[2,2,1]
[3,-2,4,1,5]=>[5,1,4,-2,3]=>[4,1,3,5,2]=>[3,1,1]
[3,-2,4,1,-5]=>[-5,1,4,-2,3]=>[4,1,3,5,2]=>[3,1,1]
[3,-2,4,-1,5]=>[5,-1,4,-2,3]=>[3,5,2,4,1]=>[2,2,1]
[3,-2,4,-1,-5]=>[-5,-1,4,-2,3]=>[3,5,2,4,1]=>[2,2,1]
[3,-2,-4,1,5]=>[5,1,-4,-2,3]=>[3,1,4,5,2]=>[3,2]
[3,-2,-4,1,-5]=>[-5,1,-4,-2,3]=>[3,1,4,5,2]=>[3,2]
[3,-2,-4,-1,5]=>[5,-1,-4,-2,3]=>[2,5,3,4,1]=>[3,1,1]
[3,-2,-4,-1,-5]=>[-5,-1,-4,-2,3]=>[2,5,3,4,1]=>[3,1,1]
[-3,2,4,1,5]=>[5,1,4,2,-3]=>[4,1,3,2,5]=>[3,1,1]
[-3,2,4,1,-5]=>[-5,1,4,2,-3]=>[4,1,3,2,5]=>[3,1,1]
[-3,2,4,-1,5]=>[5,-1,4,2,-3]=>[3,5,2,1,4]=>[2,2,1]
[-3,2,4,-1,-5]=>[-5,-1,4,2,-3]=>[3,5,2,1,4]=>[2,2,1]
[-3,2,-4,1,5]=>[5,1,-4,2,-3]=>[3,1,4,2,5]=>[3,2]
[-3,2,-4,1,-5]=>[-5,1,-4,2,-3]=>[3,1,4,2,5]=>[3,2]
[-3,2,-4,-1,5]=>[5,-1,-4,2,-3]=>[2,5,3,1,4]=>[3,1,1]
[-3,2,-4,-1,-5]=>[-5,-1,-4,2,-3]=>[2,5,3,1,4]=>[3,1,1]
[-3,-2,4,1,5]=>[5,1,4,-2,-3]=>[3,1,2,5,4]=>[3,2]
[-3,-2,4,1,-5]=>[-5,1,4,-2,-3]=>[3,1,2,5,4]=>[3,2]
[-3,-2,4,-1,5]=>[5,-1,4,-2,-3]=>[2,5,1,4,3]=>[2,2,1]
[-3,-2,4,-1,-5]=>[-5,-1,4,-2,-3]=>[2,5,1,4,3]=>[2,2,1]
[-3,-2,-4,1,5]=>[5,1,-4,-2,-3]=>[2,1,3,5,4]=>[3,2]
[-3,-2,-4,1,-5]=>[-5,1,-4,-2,-3]=>[2,1,3,5,4]=>[3,2]
[-3,-2,-4,-1,5]=>[5,-1,-4,-2,-3]=>[1,5,2,4,3]=>[3,1,1]
[-3,-2,-4,-1,-5]=>[-5,-1,-4,-2,-3]=>[1,5,2,4,3]=>[3,1,1]
[3,2,4,5,1]=>[1,5,4,2,3]=>[1,5,4,2,3]=>[3,1,1]
[3,2,4,5,-1]=>[-1,5,4,2,3]=>[5,4,3,1,2]=>[2,1,1,1]
[3,2,4,-5,1]=>[1,-5,4,2,3]=>[1,5,4,2,3]=>[3,1,1]
[3,2,4,-5,-1]=>[-1,-5,4,2,3]=>[5,4,3,1,2]=>[2,1,1,1]
[3,2,-4,5,1]=>[1,5,-4,2,3]=>[1,4,5,2,3]=>[3,2]
[3,2,-4,5,-1]=>[-1,5,-4,2,3]=>[5,3,4,1,2]=>[2,2,1]
[3,2,-4,-5,1]=>[1,-5,-4,2,3]=>[1,4,5,2,3]=>[3,2]
[3,2,-4,-5,-1]=>[-1,-5,-4,2,3]=>[5,3,4,1,2]=>[2,2,1]
[3,-2,4,5,1]=>[1,5,4,-2,3]=>[1,4,3,5,2]=>[3,1,1]
[3,-2,4,5,-1]=>[-1,5,4,-2,3]=>[5,3,2,4,1]=>[2,1,1,1]
[3,-2,4,-5,1]=>[1,-5,4,-2,3]=>[1,4,3,5,2]=>[3,1,1]
[3,-2,4,-5,-1]=>[-1,-5,4,-2,3]=>[5,3,2,4,1]=>[2,1,1,1]
[3,-2,-4,5,1]=>[1,5,-4,-2,3]=>[1,3,4,5,2]=>[4,1]
[3,-2,-4,5,-1]=>[-1,5,-4,-2,3]=>[5,2,3,4,1]=>[3,1,1]
[3,-2,-4,-5,1]=>[1,-5,-4,-2,3]=>[1,3,4,5,2]=>[4,1]
[3,-2,-4,-5,-1]=>[-1,-5,-4,-2,3]=>[5,2,3,4,1]=>[3,1,1]
[-3,2,4,5,1]=>[1,5,4,2,-3]=>[1,4,3,2,5]=>[3,1,1]
[-3,2,4,5,-1]=>[-1,5,4,2,-3]=>[5,3,2,1,4]=>[2,1,1,1]
[-3,2,4,-5,1]=>[1,-5,4,2,-3]=>[1,4,3,2,5]=>[3,1,1]
[-3,2,4,-5,-1]=>[-1,-5,4,2,-3]=>[5,3,2,1,4]=>[2,1,1,1]
[-3,2,-4,5,1]=>[1,5,-4,2,-3]=>[1,3,4,2,5]=>[4,1]
[-3,2,-4,5,-1]=>[-1,5,-4,2,-3]=>[5,2,3,1,4]=>[3,1,1]
[-3,2,-4,-5,1]=>[1,-5,-4,2,-3]=>[1,3,4,2,5]=>[4,1]
[-3,2,-4,-5,-1]=>[-1,-5,-4,2,-3]=>[5,2,3,1,4]=>[3,1,1]
[-3,-2,4,5,1]=>[1,5,4,-2,-3]=>[1,3,2,5,4]=>[3,2]
[-3,-2,4,5,-1]=>[-1,5,4,-2,-3]=>[5,2,1,4,3]=>[2,2,1]
[-3,-2,4,-5,1]=>[1,-5,4,-2,-3]=>[1,3,2,5,4]=>[3,2]
[-3,-2,4,-5,-1]=>[-1,-5,4,-2,-3]=>[5,2,1,4,3]=>[2,2,1]
[-3,-2,-4,5,1]=>[1,5,-4,-2,-3]=>[1,2,3,5,4]=>[4,1]
[-3,-2,-4,5,-1]=>[-1,5,-4,-2,-3]=>[5,1,2,4,3]=>[3,1,1]
[-3,-2,-4,-5,1]=>[1,-5,-4,-2,-3]=>[1,2,3,5,4]=>[4,1]
[-3,-2,-4,-5,-1]=>[-1,-5,-4,-2,-3]=>[5,1,2,4,3]=>[3,1,1]
[3,2,5,1,4]=>[4,1,5,2,3]=>[4,1,5,2,3]=>[3,2]
[3,2,5,1,-4]=>[-4,1,5,2,3]=>[5,1,4,2,3]=>[3,1,1]
[3,2,5,-1,4]=>[4,-1,5,2,3]=>[3,5,4,1,2]=>[2,2,1]
[3,2,5,-1,-4]=>[-4,-1,5,2,3]=>[4,5,3,1,2]=>[2,2,1]
[3,2,-5,1,4]=>[4,1,-5,2,3]=>[4,1,5,2,3]=>[3,2]
[3,2,-5,1,-4]=>[-4,1,-5,2,3]=>[5,1,4,2,3]=>[3,1,1]
[3,2,-5,-1,4]=>[4,-1,-5,2,3]=>[3,5,4,1,2]=>[2,2,1]
[3,2,-5,-1,-4]=>[-4,-1,-5,2,3]=>[4,5,3,1,2]=>[2,2,1]
[3,-2,5,1,4]=>[4,1,5,-2,3]=>[3,1,4,5,2]=>[3,2]
[3,-2,5,1,-4]=>[-4,1,5,-2,3]=>[4,1,3,5,2]=>[3,1,1]
[3,-2,5,-1,4]=>[4,-1,5,-2,3]=>[2,5,3,4,1]=>[3,1,1]
[3,-2,5,-1,-4]=>[-4,-1,5,-2,3]=>[3,5,2,4,1]=>[2,2,1]
[3,-2,-5,1,4]=>[4,1,-5,-2,3]=>[3,1,4,5,2]=>[3,2]
[3,-2,-5,1,-4]=>[-4,1,-5,-2,3]=>[4,1,3,5,2]=>[3,1,1]
[3,-2,-5,-1,4]=>[4,-1,-5,-2,3]=>[2,5,3,4,1]=>[3,1,1]
[3,-2,-5,-1,-4]=>[-4,-1,-5,-2,3]=>[3,5,2,4,1]=>[2,2,1]
[-3,2,5,1,4]=>[4,1,5,2,-3]=>[3,1,4,2,5]=>[3,2]
[-3,2,5,1,-4]=>[-4,1,5,2,-3]=>[4,1,3,2,5]=>[3,1,1]
[-3,2,5,-1,4]=>[4,-1,5,2,-3]=>[2,5,3,1,4]=>[3,1,1]
[-3,2,5,-1,-4]=>[-4,-1,5,2,-3]=>[3,5,2,1,4]=>[2,2,1]
[-3,2,-5,1,4]=>[4,1,-5,2,-3]=>[3,1,4,2,5]=>[3,2]
[-3,2,-5,1,-4]=>[-4,1,-5,2,-3]=>[4,1,3,2,5]=>[3,1,1]
[-3,2,-5,-1,4]=>[4,-1,-5,2,-3]=>[2,5,3,1,4]=>[3,1,1]
[-3,2,-5,-1,-4]=>[-4,-1,-5,2,-3]=>[3,5,2,1,4]=>[2,2,1]
[-3,-2,5,1,4]=>[4,1,5,-2,-3]=>[2,1,3,5,4]=>[3,2]
[-3,-2,5,1,-4]=>[-4,1,5,-2,-3]=>[3,1,2,5,4]=>[3,2]
[-3,-2,5,-1,4]=>[4,-1,5,-2,-3]=>[1,5,2,4,3]=>[3,1,1]
[-3,-2,5,-1,-4]=>[-4,-1,5,-2,-3]=>[2,5,1,4,3]=>[2,2,1]
[-3,-2,-5,1,4]=>[4,1,-5,-2,-3]=>[2,1,3,5,4]=>[3,2]
[-3,-2,-5,1,-4]=>[-4,1,-5,-2,-3]=>[3,1,2,5,4]=>[3,2]
[-3,-2,-5,-1,4]=>[4,-1,-5,-2,-3]=>[1,5,2,4,3]=>[3,1,1]
[-3,-2,-5,-1,-4]=>[-4,-1,-5,-2,-3]=>[2,5,1,4,3]=>[2,2,1]
[3,2,5,4,1]=>[1,4,5,2,3]=>[1,4,5,2,3]=>[3,2]
[3,2,5,4,-1]=>[-1,4,5,2,3]=>[5,3,4,1,2]=>[2,2,1]
[3,2,5,-4,1]=>[1,-4,5,2,3]=>[1,5,4,2,3]=>[3,1,1]
[3,2,5,-4,-1]=>[-1,-4,5,2,3]=>[5,4,3,1,2]=>[2,1,1,1]
[3,2,-5,4,1]=>[1,4,-5,2,3]=>[1,4,5,2,3]=>[3,2]
[3,2,-5,4,-1]=>[-1,4,-5,2,3]=>[5,3,4,1,2]=>[2,2,1]
[3,2,-5,-4,1]=>[1,-4,-5,2,3]=>[1,5,4,2,3]=>[3,1,1]
[3,2,-5,-4,-1]=>[-1,-4,-5,2,3]=>[5,4,3,1,2]=>[2,1,1,1]
[3,-2,5,4,1]=>[1,4,5,-2,3]=>[1,3,4,5,2]=>[4,1]
[3,-2,5,4,-1]=>[-1,4,5,-2,3]=>[5,2,3,4,1]=>[3,1,1]
[3,-2,5,-4,1]=>[1,-4,5,-2,3]=>[1,4,3,5,2]=>[3,1,1]
[3,-2,5,-4,-1]=>[-1,-4,5,-2,3]=>[5,3,2,4,1]=>[2,1,1,1]
[3,-2,-5,4,1]=>[1,4,-5,-2,3]=>[1,3,4,5,2]=>[4,1]
[3,-2,-5,4,-1]=>[-1,4,-5,-2,3]=>[5,2,3,4,1]=>[3,1,1]
[3,-2,-5,-4,1]=>[1,-4,-5,-2,3]=>[1,4,3,5,2]=>[3,1,1]
[3,-2,-5,-4,-1]=>[-1,-4,-5,-2,3]=>[5,3,2,4,1]=>[2,1,1,1]
[-3,2,5,4,1]=>[1,4,5,2,-3]=>[1,3,4,2,5]=>[4,1]
[-3,2,5,4,-1]=>[-1,4,5,2,-3]=>[5,2,3,1,4]=>[3,1,1]
[-3,2,5,-4,1]=>[1,-4,5,2,-3]=>[1,4,3,2,5]=>[3,1,1]
[-3,2,5,-4,-1]=>[-1,-4,5,2,-3]=>[5,3,2,1,4]=>[2,1,1,1]
[-3,2,-5,4,1]=>[1,4,-5,2,-3]=>[1,3,4,2,5]=>[4,1]
[-3,2,-5,4,-1]=>[-1,4,-5,2,-3]=>[5,2,3,1,4]=>[3,1,1]
[-3,2,-5,-4,1]=>[1,-4,-5,2,-3]=>[1,4,3,2,5]=>[3,1,1]
[-3,2,-5,-4,-1]=>[-1,-4,-5,2,-3]=>[5,3,2,1,4]=>[2,1,1,1]
[-3,-2,5,4,1]=>[1,4,5,-2,-3]=>[1,2,3,5,4]=>[4,1]
[-3,-2,5,4,-1]=>[-1,4,5,-2,-3]=>[5,1,2,4,3]=>[3,1,1]
[-3,-2,5,-4,1]=>[1,-4,5,-2,-3]=>[1,3,2,5,4]=>[3,2]
[-3,-2,5,-4,-1]=>[-1,-4,5,-2,-3]=>[5,2,1,4,3]=>[2,2,1]
[-3,-2,-5,4,1]=>[1,4,-5,-2,-3]=>[1,2,3,5,4]=>[4,1]
[-3,-2,-5,4,-1]=>[-1,4,-5,-2,-3]=>[5,1,2,4,3]=>[3,1,1]
[-3,-2,-5,-4,1]=>[1,-4,-5,-2,-3]=>[1,3,2,5,4]=>[3,2]
[-3,-2,-5,-4,-1]=>[-1,-4,-5,-2,-3]=>[5,2,1,4,3]=>[2,2,1]
[3,4,1,2,5]=>[5,2,1,4,3]=>[5,2,1,4,3]=>[2,2,1]
[3,4,1,2,-5]=>[-5,2,1,4,3]=>[5,2,1,4,3]=>[2,2,1]
[3,4,1,-2,5]=>[5,-2,1,4,3]=>[4,5,1,3,2]=>[2,2,1]
[3,4,1,-2,-5]=>[-5,-2,1,4,3]=>[4,5,1,3,2]=>[2,2,1]
[3,4,-1,2,5]=>[5,2,-1,4,3]=>[4,1,5,3,2]=>[2,2,1]
[3,4,-1,2,-5]=>[-5,2,-1,4,3]=>[4,1,5,3,2]=>[2,2,1]
[3,4,-1,-2,5]=>[5,-2,-1,4,3]=>[3,4,5,2,1]=>[3,1,1]
[3,4,-1,-2,-5]=>[-5,-2,-1,4,3]=>[3,4,5,2,1]=>[3,1,1]
[3,-4,1,2,5]=>[5,2,1,-4,3]=>[4,2,1,5,3]=>[2,2,1]
[3,-4,1,2,-5]=>[-5,2,1,-4,3]=>[4,2,1,5,3]=>[2,2,1]
[3,-4,1,-2,5]=>[5,-2,1,-4,3]=>[3,5,1,4,2]=>[2,2,1]
[3,-4,1,-2,-5]=>[-5,-2,1,-4,3]=>[3,5,1,4,2]=>[2,2,1]
[3,-4,-1,2,5]=>[5,2,-1,-4,3]=>[3,1,5,4,2]=>[2,2,1]
[3,-4,-1,2,-5]=>[-5,2,-1,-4,3]=>[3,1,5,4,2]=>[2,2,1]
[3,-4,-1,-2,5]=>[5,-2,-1,-4,3]=>[2,4,5,3,1]=>[3,1,1]
[3,-4,-1,-2,-5]=>[-5,-2,-1,-4,3]=>[2,4,5,3,1]=>[3,1,1]
[-3,4,1,2,5]=>[5,2,1,4,-3]=>[4,2,1,3,5]=>[3,1,1]
[-3,4,1,2,-5]=>[-5,2,1,4,-3]=>[4,2,1,3,5]=>[3,1,1]
[-3,4,1,-2,5]=>[5,-2,1,4,-3]=>[3,5,1,2,4]=>[3,2]
[-3,4,1,-2,-5]=>[-5,-2,1,4,-3]=>[3,5,1,2,4]=>[3,2]
[-3,4,-1,2,5]=>[5,2,-1,4,-3]=>[3,1,5,2,4]=>[3,2]
[-3,4,-1,2,-5]=>[-5,2,-1,4,-3]=>[3,1,5,2,4]=>[3,2]
[-3,4,-1,-2,5]=>[5,-2,-1,4,-3]=>[2,4,5,1,3]=>[3,2]
[-3,4,-1,-2,-5]=>[-5,-2,-1,4,-3]=>[2,4,5,1,3]=>[3,2]
[-3,-4,1,2,5]=>[5,2,1,-4,-3]=>[3,2,1,4,5]=>[3,1,1]
[-3,-4,1,2,-5]=>[-5,2,1,-4,-3]=>[3,2,1,4,5]=>[3,1,1]
[-3,-4,1,-2,5]=>[5,-2,1,-4,-3]=>[2,5,1,3,4]=>[3,2]
[-3,-4,1,-2,-5]=>[-5,-2,1,-4,-3]=>[2,5,1,3,4]=>[3,2]
[-3,-4,-1,2,5]=>[5,2,-1,-4,-3]=>[2,1,5,3,4]=>[3,2]
[-3,-4,-1,2,-5]=>[-5,2,-1,-4,-3]=>[2,1,5,3,4]=>[3,2]
[-3,-4,-1,-2,5]=>[5,-2,-1,-4,-3]=>[1,4,5,2,3]=>[3,2]
[-3,-4,-1,-2,-5]=>[-5,-2,-1,-4,-3]=>[1,4,5,2,3]=>[3,2]
[3,4,1,5,2]=>[2,5,1,4,3]=>[2,5,1,4,3]=>[2,2,1]
[3,4,1,5,-2]=>[-2,5,1,4,3]=>[5,4,1,3,2]=>[2,1,1,1]
[3,4,1,-5,2]=>[2,-5,1,4,3]=>[2,5,1,4,3]=>[2,2,1]
[3,4,1,-5,-2]=>[-2,-5,1,4,3]=>[5,4,1,3,2]=>[2,1,1,1]
[3,4,-1,5,2]=>[2,5,-1,4,3]=>[1,4,5,3,2]=>[3,1,1]
[3,4,-1,5,-2]=>[-2,5,-1,4,3]=>[4,3,5,2,1]=>[2,1,1,1]
[3,4,-1,-5,2]=>[2,-5,-1,4,3]=>[1,4,5,3,2]=>[3,1,1]
[3,4,-1,-5,-2]=>[-2,-5,-1,4,3]=>[4,3,5,2,1]=>[2,1,1,1]
[3,-4,1,5,2]=>[2,5,1,-4,3]=>[2,4,1,5,3]=>[3,2]
[3,-4,1,5,-2]=>[-2,5,1,-4,3]=>[5,3,1,4,2]=>[2,2,1]
[3,-4,1,-5,2]=>[2,-5,1,-4,3]=>[2,4,1,5,3]=>[3,2]
[3,-4,1,-5,-2]=>[-2,-5,1,-4,3]=>[5,3,1,4,2]=>[2,2,1]
[3,-4,-1,5,2]=>[2,5,-1,-4,3]=>[1,3,5,4,2]=>[3,1,1]
[3,-4,-1,5,-2]=>[-2,5,-1,-4,3]=>[4,2,5,3,1]=>[2,2,1]
[3,-4,-1,-5,2]=>[2,-5,-1,-4,3]=>[1,3,5,4,2]=>[3,1,1]
[3,-4,-1,-5,-2]=>[-2,-5,-1,-4,3]=>[4,2,5,3,1]=>[2,2,1]
[-3,4,1,5,2]=>[2,5,1,4,-3]=>[2,4,1,3,5]=>[3,2]
[-3,4,1,5,-2]=>[-2,5,1,4,-3]=>[5,3,1,2,4]=>[3,1,1]
[-3,4,1,-5,2]=>[2,-5,1,4,-3]=>[2,4,1,3,5]=>[3,2]
[-3,4,1,-5,-2]=>[-2,-5,1,4,-3]=>[5,3,1,2,4]=>[3,1,1]
[-3,4,-1,5,2]=>[2,5,-1,4,-3]=>[1,3,5,2,4]=>[3,2]
[-3,4,-1,5,-2]=>[-2,5,-1,4,-3]=>[4,2,5,1,3]=>[2,2,1]
[-3,4,-1,-5,2]=>[2,-5,-1,4,-3]=>[1,3,5,2,4]=>[3,2]
[-3,4,-1,-5,-2]=>[-2,-5,-1,4,-3]=>[4,2,5,1,3]=>[2,2,1]
[-3,-4,1,5,2]=>[2,5,1,-4,-3]=>[2,3,1,4,5]=>[4,1]
[-3,-4,1,5,-2]=>[-2,5,1,-4,-3]=>[5,2,1,3,4]=>[3,1,1]
[-3,-4,1,-5,2]=>[2,-5,1,-4,-3]=>[2,3,1,4,5]=>[4,1]
[-3,-4,1,-5,-2]=>[-2,-5,1,-4,-3]=>[5,2,1,3,4]=>[3,1,1]
[-3,-4,-1,5,2]=>[2,5,-1,-4,-3]=>[1,2,5,3,4]=>[4,1]
[-3,-4,-1,5,-2]=>[-2,5,-1,-4,-3]=>[4,1,5,2,3]=>[3,2]
[-3,-4,-1,-5,2]=>[2,-5,-1,-4,-3]=>[1,2,5,3,4]=>[4,1]
[-3,-4,-1,-5,-2]=>[-2,-5,-1,-4,-3]=>[4,1,5,2,3]=>[3,2]
[3,4,2,1,5]=>[5,1,2,4,3]=>[5,1,2,4,3]=>[3,1,1]
[3,4,2,1,-5]=>[-5,1,2,4,3]=>[5,1,2,4,3]=>[3,1,1]
[3,4,2,-1,5]=>[5,-1,2,4,3]=>[4,5,1,3,2]=>[2,2,1]
[3,4,2,-1,-5]=>[-5,-1,2,4,3]=>[4,5,1,3,2]=>[2,2,1]
[3,4,-2,1,5]=>[5,1,-2,4,3]=>[4,1,5,3,2]=>[2,2,1]
[3,4,-2,1,-5]=>[-5,1,-2,4,3]=>[4,1,5,3,2]=>[2,2,1]
[3,4,-2,-1,5]=>[5,-1,-2,4,3]=>[3,5,4,2,1]=>[2,1,1,1]
[3,4,-2,-1,-5]=>[-5,-1,-2,4,3]=>[3,5,4,2,1]=>[2,1,1,1]
[3,-4,2,1,5]=>[5,1,2,-4,3]=>[4,1,2,5,3]=>[3,2]
[3,-4,2,1,-5]=>[-5,1,2,-4,3]=>[4,1,2,5,3]=>[3,2]
[3,-4,2,-1,5]=>[5,-1,2,-4,3]=>[3,5,1,4,2]=>[2,2,1]
[3,-4,2,-1,-5]=>[-5,-1,2,-4,3]=>[3,5,1,4,2]=>[2,2,1]
[3,-4,-2,1,5]=>[5,1,-2,-4,3]=>[3,1,5,4,2]=>[2,2,1]
[3,-4,-2,1,-5]=>[-5,1,-2,-4,3]=>[3,1,5,4,2]=>[2,2,1]
[3,-4,-2,-1,5]=>[5,-1,-2,-4,3]=>[2,5,4,3,1]=>[2,1,1,1]
[3,-4,-2,-1,-5]=>[-5,-1,-2,-4,3]=>[2,5,4,3,1]=>[2,1,1,1]
[-3,4,2,1,5]=>[5,1,2,4,-3]=>[4,1,2,3,5]=>[4,1]
[-3,4,2,1,-5]=>[-5,1,2,4,-3]=>[4,1,2,3,5]=>[4,1]
[-3,4,2,-1,5]=>[5,-1,2,4,-3]=>[3,5,1,2,4]=>[3,2]
[-3,4,2,-1,-5]=>[-5,-1,2,4,-3]=>[3,5,1,2,4]=>[3,2]
[-3,4,-2,1,5]=>[5,1,-2,4,-3]=>[3,1,5,2,4]=>[3,2]
[-3,4,-2,1,-5]=>[-5,1,-2,4,-3]=>[3,1,5,2,4]=>[3,2]
[-3,4,-2,-1,5]=>[5,-1,-2,4,-3]=>[2,5,4,1,3]=>[2,2,1]
[-3,4,-2,-1,-5]=>[-5,-1,-2,4,-3]=>[2,5,4,1,3]=>[2,2,1]
[-3,-4,2,1,5]=>[5,1,2,-4,-3]=>[3,1,2,4,5]=>[4,1]
[-3,-4,2,1,-5]=>[-5,1,2,-4,-3]=>[3,1,2,4,5]=>[4,1]
[-3,-4,2,-1,5]=>[5,-1,2,-4,-3]=>[2,5,1,3,4]=>[3,2]
[-3,-4,2,-1,-5]=>[-5,-1,2,-4,-3]=>[2,5,1,3,4]=>[3,2]
[-3,-4,-2,1,5]=>[5,1,-2,-4,-3]=>[2,1,5,3,4]=>[3,2]
[-3,-4,-2,1,-5]=>[-5,1,-2,-4,-3]=>[2,1,5,3,4]=>[3,2]
[-3,-4,-2,-1,5]=>[5,-1,-2,-4,-3]=>[1,5,4,2,3]=>[3,1,1]
[-3,-4,-2,-1,-5]=>[-5,-1,-2,-4,-3]=>[1,5,4,2,3]=>[3,1,1]
[3,4,2,5,1]=>[1,5,2,4,3]=>[1,5,2,4,3]=>[3,1,1]
[3,4,2,5,-1]=>[-1,5,2,4,3]=>[5,4,1,3,2]=>[2,1,1,1]
[3,4,2,-5,1]=>[1,-5,2,4,3]=>[1,5,2,4,3]=>[3,1,1]
[3,4,2,-5,-1]=>[-1,-5,2,4,3]=>[5,4,1,3,2]=>[2,1,1,1]
[3,4,-2,5,1]=>[1,5,-2,4,3]=>[1,4,5,3,2]=>[3,1,1]
[3,4,-2,5,-1]=>[-1,5,-2,4,3]=>[5,3,4,2,1]=>[2,1,1,1]
[3,4,-2,-5,1]=>[1,-5,-2,4,3]=>[1,4,5,3,2]=>[3,1,1]
[3,4,-2,-5,-1]=>[-1,-5,-2,4,3]=>[5,3,4,2,1]=>[2,1,1,1]
[3,-4,2,5,1]=>[1,5,2,-4,3]=>[1,4,2,5,3]=>[3,2]
[3,-4,2,5,-1]=>[-1,5,2,-4,3]=>[5,3,1,4,2]=>[2,2,1]
[3,-4,2,-5,1]=>[1,-5,2,-4,3]=>[1,4,2,5,3]=>[3,2]
[3,-4,2,-5,-1]=>[-1,-5,2,-4,3]=>[5,3,1,4,2]=>[2,2,1]
[3,-4,-2,5,1]=>[1,5,-2,-4,3]=>[1,3,5,4,2]=>[3,1,1]
[3,-4,-2,5,-1]=>[-1,5,-2,-4,3]=>[5,2,4,3,1]=>[2,1,1,1]
[3,-4,-2,-5,1]=>[1,-5,-2,-4,3]=>[1,3,5,4,2]=>[3,1,1]
[3,-4,-2,-5,-1]=>[-1,-5,-2,-4,3]=>[5,2,4,3,1]=>[2,1,1,1]
[-3,4,2,5,1]=>[1,5,2,4,-3]=>[1,4,2,3,5]=>[4,1]
[-3,4,2,5,-1]=>[-1,5,2,4,-3]=>[5,3,1,2,4]=>[3,1,1]
[-3,4,2,-5,1]=>[1,-5,2,4,-3]=>[1,4,2,3,5]=>[4,1]
[-3,4,2,-5,-1]=>[-1,-5,2,4,-3]=>[5,3,1,2,4]=>[3,1,1]
[-3,4,-2,5,1]=>[1,5,-2,4,-3]=>[1,3,5,2,4]=>[3,2]
[-3,4,-2,5,-1]=>[-1,5,-2,4,-3]=>[5,2,4,1,3]=>[2,2,1]
[-3,4,-2,-5,1]=>[1,-5,-2,4,-3]=>[1,3,5,2,4]=>[3,2]
[-3,4,-2,-5,-1]=>[-1,-5,-2,4,-3]=>[5,2,4,1,3]=>[2,2,1]
[-3,-4,2,5,1]=>[1,5,2,-4,-3]=>[1,3,2,4,5]=>[4,1]
[-3,-4,2,5,-1]=>[-1,5,2,-4,-3]=>[5,2,1,3,4]=>[3,1,1]
[-3,-4,2,-5,1]=>[1,-5,2,-4,-3]=>[1,3,2,4,5]=>[4,1]
[-3,-4,2,-5,-1]=>[-1,-5,2,-4,-3]=>[5,2,1,3,4]=>[3,1,1]
[-3,-4,-2,5,1]=>[1,5,-2,-4,-3]=>[1,2,5,3,4]=>[4,1]
[-3,-4,-2,5,-1]=>[-1,5,-2,-4,-3]=>[5,1,4,2,3]=>[3,1,1]
[-3,-4,-2,-5,1]=>[1,-5,-2,-4,-3]=>[1,2,5,3,4]=>[4,1]
[-3,-4,-2,-5,-1]=>[-1,-5,-2,-4,-3]=>[5,1,4,2,3]=>[3,1,1]
[3,4,5,1,2]=>[2,1,5,4,3]=>[2,1,5,4,3]=>[2,2,1]
[3,4,5,1,-2]=>[-2,1,5,4,3]=>[5,1,4,3,2]=>[2,1,1,1]
[3,4,5,-1,2]=>[2,-1,5,4,3]=>[1,5,4,3,2]=>[2,1,1,1]
[3,4,5,-1,-2]=>[-2,-1,5,4,3]=>[4,5,3,2,1]=>[2,1,1,1]
[3,4,-5,1,2]=>[2,1,-5,4,3]=>[2,1,5,4,3]=>[2,2,1]
[3,4,-5,1,-2]=>[-2,1,-5,4,3]=>[5,1,4,3,2]=>[2,1,1,1]
[3,4,-5,-1,2]=>[2,-1,-5,4,3]=>[1,5,4,3,2]=>[2,1,1,1]
[3,4,-5,-1,-2]=>[-2,-1,-5,4,3]=>[4,5,3,2,1]=>[2,1,1,1]
[3,-4,5,1,2]=>[2,1,5,-4,3]=>[2,1,4,5,3]=>[3,2]
[3,-4,5,1,-2]=>[-2,1,5,-4,3]=>[5,1,3,4,2]=>[3,1,1]
[3,-4,5,-1,2]=>[2,-1,5,-4,3]=>[1,5,3,4,2]=>[3,1,1]
[3,-4,5,-1,-2]=>[-2,-1,5,-4,3]=>[4,5,2,3,1]=>[2,2,1]
[3,-4,-5,1,2]=>[2,1,-5,-4,3]=>[2,1,4,5,3]=>[3,2]
[3,-4,-5,1,-2]=>[-2,1,-5,-4,3]=>[5,1,3,4,2]=>[3,1,1]
[3,-4,-5,-1,2]=>[2,-1,-5,-4,3]=>[1,5,3,4,2]=>[3,1,1]
[3,-4,-5,-1,-2]=>[-2,-1,-5,-4,3]=>[4,5,2,3,1]=>[2,2,1]
[-3,4,5,1,2]=>[2,1,5,4,-3]=>[2,1,4,3,5]=>[3,2]
[-3,4,5,1,-2]=>[-2,1,5,4,-3]=>[5,1,3,2,4]=>[3,1,1]
[-3,4,5,-1,2]=>[2,-1,5,4,-3]=>[1,5,3,2,4]=>[3,1,1]
[-3,4,5,-1,-2]=>[-2,-1,5,4,-3]=>[4,5,2,1,3]=>[2,2,1]
[-3,4,-5,1,2]=>[2,1,-5,4,-3]=>[2,1,4,3,5]=>[3,2]
[-3,4,-5,1,-2]=>[-2,1,-5,4,-3]=>[5,1,3,2,4]=>[3,1,1]
[-3,4,-5,-1,2]=>[2,-1,-5,4,-3]=>[1,5,3,2,4]=>[3,1,1]
[-3,4,-5,-1,-2]=>[-2,-1,-5,4,-3]=>[4,5,2,1,3]=>[2,2,1]
[-3,-4,5,1,2]=>[2,1,5,-4,-3]=>[2,1,3,4,5]=>[4,1]
[-3,-4,5,1,-2]=>[-2,1,5,-4,-3]=>[5,1,2,3,4]=>[4,1]
[-3,-4,5,-1,2]=>[2,-1,5,-4,-3]=>[1,5,2,3,4]=>[4,1]
[-3,-4,5,-1,-2]=>[-2,-1,5,-4,-3]=>[4,5,1,2,3]=>[3,2]
[-3,-4,-5,1,2]=>[2,1,-5,-4,-3]=>[2,1,3,4,5]=>[4,1]
[-3,-4,-5,1,-2]=>[-2,1,-5,-4,-3]=>[5,1,2,3,4]=>[4,1]
[-3,-4,-5,-1,2]=>[2,-1,-5,-4,-3]=>[1,5,2,3,4]=>[4,1]
[-3,-4,-5,-1,-2]=>[-2,-1,-5,-4,-3]=>[4,5,1,2,3]=>[3,2]
[3,4,5,2,1]=>[1,2,5,4,3]=>[1,2,5,4,3]=>[3,1,1]
[3,4,5,2,-1]=>[-1,2,5,4,3]=>[5,1,4,3,2]=>[2,1,1,1]
[3,4,5,-2,1]=>[1,-2,5,4,3]=>[1,5,4,3,2]=>[2,1,1,1]
[3,4,5,-2,-1]=>[-1,-2,5,4,3]=>[5,4,3,2,1]=>[1,1,1,1,1]
[3,4,-5,2,1]=>[1,2,-5,4,3]=>[1,2,5,4,3]=>[3,1,1]
[3,4,-5,2,-1]=>[-1,2,-5,4,3]=>[5,1,4,3,2]=>[2,1,1,1]
[3,4,-5,-2,1]=>[1,-2,-5,4,3]=>[1,5,4,3,2]=>[2,1,1,1]
[3,4,-5,-2,-1]=>[-1,-2,-5,4,3]=>[5,4,3,2,1]=>[1,1,1,1,1]
[3,-4,5,2,1]=>[1,2,5,-4,3]=>[1,2,4,5,3]=>[4,1]
[3,-4,5,2,-1]=>[-1,2,5,-4,3]=>[5,1,3,4,2]=>[3,1,1]
[3,-4,5,-2,1]=>[1,-2,5,-4,3]=>[1,5,3,4,2]=>[3,1,1]
[3,-4,5,-2,-1]=>[-1,-2,5,-4,3]=>[5,4,2,3,1]=>[2,1,1,1]
[3,-4,-5,2,1]=>[1,2,-5,-4,3]=>[1,2,4,5,3]=>[4,1]
[3,-4,-5,2,-1]=>[-1,2,-5,-4,3]=>[5,1,3,4,2]=>[3,1,1]
[3,-4,-5,-2,1]=>[1,-2,-5,-4,3]=>[1,5,3,4,2]=>[3,1,1]
[3,-4,-5,-2,-1]=>[-1,-2,-5,-4,3]=>[5,4,2,3,1]=>[2,1,1,1]
[-3,4,5,2,1]=>[1,2,5,4,-3]=>[1,2,4,3,5]=>[4,1]
[-3,4,5,2,-1]=>[-1,2,5,4,-3]=>[5,1,3,2,4]=>[3,1,1]
[-3,4,5,-2,1]=>[1,-2,5,4,-3]=>[1,5,3,2,4]=>[3,1,1]
[-3,4,5,-2,-1]=>[-1,-2,5,4,-3]=>[5,4,2,1,3]=>[2,1,1,1]
[-3,4,-5,2,1]=>[1,2,-5,4,-3]=>[1,2,4,3,5]=>[4,1]
[-3,4,-5,2,-1]=>[-1,2,-5,4,-3]=>[5,1,3,2,4]=>[3,1,1]
[-3,4,-5,-2,1]=>[1,-2,-5,4,-3]=>[1,5,3,2,4]=>[3,1,1]
[-3,4,-5,-2,-1]=>[-1,-2,-5,4,-3]=>[5,4,2,1,3]=>[2,1,1,1]
[-3,-4,5,2,1]=>[1,2,5,-4,-3]=>[1,2,3,4,5]=>[5]
[-3,-4,5,2,-1]=>[-1,2,5,-4,-3]=>[5,1,2,3,4]=>[4,1]
[-3,-4,5,-2,1]=>[1,-2,5,-4,-3]=>[1,5,2,3,4]=>[4,1]
[-3,-4,5,-2,-1]=>[-1,-2,5,-4,-3]=>[5,4,1,2,3]=>[3,1,1]
[-3,-4,-5,2,1]=>[1,2,-5,-4,-3]=>[1,2,3,4,5]=>[5]
[-3,-4,-5,2,-1]=>[-1,2,-5,-4,-3]=>[5,1,2,3,4]=>[4,1]
[-3,-4,-5,-2,1]=>[1,-2,-5,-4,-3]=>[1,5,2,3,4]=>[4,1]
[-3,-4,-5,-2,-1]=>[-1,-2,-5,-4,-3]=>[5,4,1,2,3]=>[3,1,1]
[3,5,1,2,4]=>[4,2,1,5,3]=>[4,2,1,5,3]=>[2,2,1]
[3,5,1,2,-4]=>[-4,2,1,5,3]=>[5,2,1,4,3]=>[2,2,1]
[3,5,1,-2,4]=>[4,-2,1,5,3]=>[3,5,1,4,2]=>[2,2,1]
[3,5,1,-2,-4]=>[-4,-2,1,5,3]=>[4,5,1,3,2]=>[2,2,1]
[3,5,-1,2,4]=>[4,2,-1,5,3]=>[3,1,5,4,2]=>[2,2,1]
[3,5,-1,2,-4]=>[-4,2,-1,5,3]=>[4,1,5,3,2]=>[2,2,1]
[3,5,-1,-2,4]=>[4,-2,-1,5,3]=>[2,4,5,3,1]=>[3,1,1]
[3,5,-1,-2,-4]=>[-4,-2,-1,5,3]=>[3,4,5,2,1]=>[3,1,1]
[3,-5,1,2,4]=>[4,2,1,-5,3]=>[4,2,1,5,3]=>[2,2,1]
[3,-5,1,2,-4]=>[-4,2,1,-5,3]=>[5,2,1,4,3]=>[2,2,1]
[3,-5,1,-2,4]=>[4,-2,1,-5,3]=>[3,5,1,4,2]=>[2,2,1]
[3,-5,1,-2,-4]=>[-4,-2,1,-5,3]=>[4,5,1,3,2]=>[2,2,1]
[3,-5,-1,2,4]=>[4,2,-1,-5,3]=>[3,1,5,4,2]=>[2,2,1]
[3,-5,-1,2,-4]=>[-4,2,-1,-5,3]=>[4,1,5,3,2]=>[2,2,1]
[3,-5,-1,-2,4]=>[4,-2,-1,-5,3]=>[2,4,5,3,1]=>[3,1,1]
[3,-5,-1,-2,-4]=>[-4,-2,-1,-5,3]=>[3,4,5,2,1]=>[3,1,1]
[-3,5,1,2,4]=>[4,2,1,5,-3]=>[3,2,1,4,5]=>[3,1,1]
[-3,5,1,2,-4]=>[-4,2,1,5,-3]=>[4,2,1,3,5]=>[3,1,1]
[-3,5,1,-2,4]=>[4,-2,1,5,-3]=>[2,5,1,3,4]=>[3,2]
[-3,5,1,-2,-4]=>[-4,-2,1,5,-3]=>[3,5,1,2,4]=>[3,2]
[-3,5,-1,2,4]=>[4,2,-1,5,-3]=>[2,1,5,3,4]=>[3,2]
[-3,5,-1,2,-4]=>[-4,2,-1,5,-3]=>[3,1,5,2,4]=>[3,2]
[-3,5,-1,-2,4]=>[4,-2,-1,5,-3]=>[1,4,5,2,3]=>[3,2]
[-3,5,-1,-2,-4]=>[-4,-2,-1,5,-3]=>[2,4,5,1,3]=>[3,2]
[-3,-5,1,2,4]=>[4,2,1,-5,-3]=>[3,2,1,4,5]=>[3,1,1]
[-3,-5,1,2,-4]=>[-4,2,1,-5,-3]=>[4,2,1,3,5]=>[3,1,1]
[-3,-5,1,-2,4]=>[4,-2,1,-5,-3]=>[2,5,1,3,4]=>[3,2]
[-3,-5,1,-2,-4]=>[-4,-2,1,-5,-3]=>[3,5,1,2,4]=>[3,2]
[-3,-5,-1,2,4]=>[4,2,-1,-5,-3]=>[2,1,5,3,4]=>[3,2]
[-3,-5,-1,2,-4]=>[-4,2,-1,-5,-3]=>[3,1,5,2,4]=>[3,2]
[-3,-5,-1,-2,4]=>[4,-2,-1,-5,-3]=>[1,4,5,2,3]=>[3,2]
[-3,-5,-1,-2,-4]=>[-4,-2,-1,-5,-3]=>[2,4,5,1,3]=>[3,2]
[3,5,1,4,2]=>[2,4,1,5,3]=>[2,4,1,5,3]=>[3,2]
[3,5,1,4,-2]=>[-2,4,1,5,3]=>[5,3,1,4,2]=>[2,2,1]
[3,5,1,-4,2]=>[2,-4,1,5,3]=>[2,5,1,4,3]=>[2,2,1]
[3,5,1,-4,-2]=>[-2,-4,1,5,3]=>[5,4,1,3,2]=>[2,1,1,1]
[3,5,-1,4,2]=>[2,4,-1,5,3]=>[1,3,5,4,2]=>[3,1,1]
[3,5,-1,4,-2]=>[-2,4,-1,5,3]=>[4,2,5,3,1]=>[2,2,1]
[3,5,-1,-4,2]=>[2,-4,-1,5,3]=>[1,4,5,3,2]=>[3,1,1]
[3,5,-1,-4,-2]=>[-2,-4,-1,5,3]=>[4,3,5,2,1]=>[2,1,1,1]
[3,-5,1,4,2]=>[2,4,1,-5,3]=>[2,4,1,5,3]=>[3,2]
[3,-5,1,4,-2]=>[-2,4,1,-5,3]=>[5,3,1,4,2]=>[2,2,1]
[3,-5,1,-4,2]=>[2,-4,1,-5,3]=>[2,5,1,4,3]=>[2,2,1]
[3,-5,1,-4,-2]=>[-2,-4,1,-5,3]=>[5,4,1,3,2]=>[2,1,1,1]
[3,-5,-1,4,2]=>[2,4,-1,-5,3]=>[1,3,5,4,2]=>[3,1,1]
[3,-5,-1,4,-2]=>[-2,4,-1,-5,3]=>[4,2,5,3,1]=>[2,2,1]
[3,-5,-1,-4,2]=>[2,-4,-1,-5,3]=>[1,4,5,3,2]=>[3,1,1]
[3,-5,-1,-4,-2]=>[-2,-4,-1,-5,3]=>[4,3,5,2,1]=>[2,1,1,1]
[-3,5,1,4,2]=>[2,4,1,5,-3]=>[2,3,1,4,5]=>[4,1]
[-3,5,1,4,-2]=>[-2,4,1,5,-3]=>[5,2,1,3,4]=>[3,1,1]
[-3,5,1,-4,2]=>[2,-4,1,5,-3]=>[2,4,1,3,5]=>[3,2]
[-3,5,1,-4,-2]=>[-2,-4,1,5,-3]=>[5,3,1,2,4]=>[3,1,1]
[-3,5,-1,4,2]=>[2,4,-1,5,-3]=>[1,2,5,3,4]=>[4,1]
[-3,5,-1,4,-2]=>[-2,4,-1,5,-3]=>[4,1,5,2,3]=>[3,2]
[-3,5,-1,-4,2]=>[2,-4,-1,5,-3]=>[1,3,5,2,4]=>[3,2]
[-3,5,-1,-4,-2]=>[-2,-4,-1,5,-3]=>[4,2,5,1,3]=>[2,2,1]
[-3,-5,1,4,2]=>[2,4,1,-5,-3]=>[2,3,1,4,5]=>[4,1]
[-3,-5,1,4,-2]=>[-2,4,1,-5,-3]=>[5,2,1,3,4]=>[3,1,1]
[-3,-5,1,-4,2]=>[2,-4,1,-5,-3]=>[2,4,1,3,5]=>[3,2]
[-3,-5,1,-4,-2]=>[-2,-4,1,-5,-3]=>[5,3,1,2,4]=>[3,1,1]
[-3,-5,-1,4,2]=>[2,4,-1,-5,-3]=>[1,2,5,3,4]=>[4,1]
[-3,-5,-1,4,-2]=>[-2,4,-1,-5,-3]=>[4,1,5,2,3]=>[3,2]
[-3,-5,-1,-4,2]=>[2,-4,-1,-5,-3]=>[1,3,5,2,4]=>[3,2]
[-3,-5,-1,-4,-2]=>[-2,-4,-1,-5,-3]=>[4,2,5,1,3]=>[2,2,1]
[3,5,2,1,4]=>[4,1,2,5,3]=>[4,1,2,5,3]=>[3,2]
[3,5,2,1,-4]=>[-4,1,2,5,3]=>[5,1,2,4,3]=>[3,1,1]
[3,5,2,-1,4]=>[4,-1,2,5,3]=>[3,5,1,4,2]=>[2,2,1]
[3,5,2,-1,-4]=>[-4,-1,2,5,3]=>[4,5,1,3,2]=>[2,2,1]
[3,5,-2,1,4]=>[4,1,-2,5,3]=>[3,1,5,4,2]=>[2,2,1]
[3,5,-2,1,-4]=>[-4,1,-2,5,3]=>[4,1,5,3,2]=>[2,2,1]
[3,5,-2,-1,4]=>[4,-1,-2,5,3]=>[2,5,4,3,1]=>[2,1,1,1]
[3,5,-2,-1,-4]=>[-4,-1,-2,5,3]=>[3,5,4,2,1]=>[2,1,1,1]
[3,-5,2,1,4]=>[4,1,2,-5,3]=>[4,1,2,5,3]=>[3,2]
[3,-5,2,1,-4]=>[-4,1,2,-5,3]=>[5,1,2,4,3]=>[3,1,1]
[3,-5,2,-1,4]=>[4,-1,2,-5,3]=>[3,5,1,4,2]=>[2,2,1]
[3,-5,2,-1,-4]=>[-4,-1,2,-5,3]=>[4,5,1,3,2]=>[2,2,1]
[3,-5,-2,1,4]=>[4,1,-2,-5,3]=>[3,1,5,4,2]=>[2,2,1]
[3,-5,-2,1,-4]=>[-4,1,-2,-5,3]=>[4,1,5,3,2]=>[2,2,1]
[3,-5,-2,-1,4]=>[4,-1,-2,-5,3]=>[2,5,4,3,1]=>[2,1,1,1]
[3,-5,-2,-1,-4]=>[-4,-1,-2,-5,3]=>[3,5,4,2,1]=>[2,1,1,1]
[-3,5,2,1,4]=>[4,1,2,5,-3]=>[3,1,2,4,5]=>[4,1]
[-3,5,2,1,-4]=>[-4,1,2,5,-3]=>[4,1,2,3,5]=>[4,1]
[-3,5,2,-1,4]=>[4,-1,2,5,-3]=>[2,5,1,3,4]=>[3,2]
[-3,5,2,-1,-4]=>[-4,-1,2,5,-3]=>[3,5,1,2,4]=>[3,2]
[-3,5,-2,1,4]=>[4,1,-2,5,-3]=>[2,1,5,3,4]=>[3,2]
[-3,5,-2,1,-4]=>[-4,1,-2,5,-3]=>[3,1,5,2,4]=>[3,2]
[-3,5,-2,-1,4]=>[4,-1,-2,5,-3]=>[1,5,4,2,3]=>[3,1,1]
[-3,5,-2,-1,-4]=>[-4,-1,-2,5,-3]=>[2,5,4,1,3]=>[2,2,1]
[-3,-5,2,1,4]=>[4,1,2,-5,-3]=>[3,1,2,4,5]=>[4,1]
[-3,-5,2,1,-4]=>[-4,1,2,-5,-3]=>[4,1,2,3,5]=>[4,1]
[-3,-5,2,-1,4]=>[4,-1,2,-5,-3]=>[2,5,1,3,4]=>[3,2]
[-3,-5,2,-1,-4]=>[-4,-1,2,-5,-3]=>[3,5,1,2,4]=>[3,2]
[-3,-5,-2,1,4]=>[4,1,-2,-5,-3]=>[2,1,5,3,4]=>[3,2]
[-3,-5,-2,1,-4]=>[-4,1,-2,-5,-3]=>[3,1,5,2,4]=>[3,2]
[-3,-5,-2,-1,4]=>[4,-1,-2,-5,-3]=>[1,5,4,2,3]=>[3,1,1]
[-3,-5,-2,-1,-4]=>[-4,-1,-2,-5,-3]=>[2,5,4,1,3]=>[2,2,1]
[3,5,2,4,1]=>[1,4,2,5,3]=>[1,4,2,5,3]=>[3,2]
[3,5,2,4,-1]=>[-1,4,2,5,3]=>[5,3,1,4,2]=>[2,2,1]
[3,5,2,-4,1]=>[1,-4,2,5,3]=>[1,5,2,4,3]=>[3,1,1]
[3,5,2,-4,-1]=>[-1,-4,2,5,3]=>[5,4,1,3,2]=>[2,1,1,1]
[3,5,-2,4,1]=>[1,4,-2,5,3]=>[1,3,5,4,2]=>[3,1,1]
[3,5,-2,4,-1]=>[-1,4,-2,5,3]=>[5,2,4,3,1]=>[2,1,1,1]
[3,5,-2,-4,1]=>[1,-4,-2,5,3]=>[1,4,5,3,2]=>[3,1,1]
[3,5,-2,-4,-1]=>[-1,-4,-2,5,3]=>[5,3,4,2,1]=>[2,1,1,1]
[3,-5,2,4,1]=>[1,4,2,-5,3]=>[1,4,2,5,3]=>[3,2]
[3,-5,2,4,-1]=>[-1,4,2,-5,3]=>[5,3,1,4,2]=>[2,2,1]
[3,-5,2,-4,1]=>[1,-4,2,-5,3]=>[1,5,2,4,3]=>[3,1,1]
[3,-5,2,-4,-1]=>[-1,-4,2,-5,3]=>[5,4,1,3,2]=>[2,1,1,1]
[3,-5,-2,4,1]=>[1,4,-2,-5,3]=>[1,3,5,4,2]=>[3,1,1]
[3,-5,-2,4,-1]=>[-1,4,-2,-5,3]=>[5,2,4,3,1]=>[2,1,1,1]
[3,-5,-2,-4,1]=>[1,-4,-2,-5,3]=>[1,4,5,3,2]=>[3,1,1]
[3,-5,-2,-4,-1]=>[-1,-4,-2,-5,3]=>[5,3,4,2,1]=>[2,1,1,1]
[-3,5,2,4,1]=>[1,4,2,5,-3]=>[1,3,2,4,5]=>[4,1]
[-3,5,2,4,-1]=>[-1,4,2,5,-3]=>[5,2,1,3,4]=>[3,1,1]
[-3,5,2,-4,1]=>[1,-4,2,5,-3]=>[1,4,2,3,5]=>[4,1]
[-3,5,2,-4,-1]=>[-1,-4,2,5,-3]=>[5,3,1,2,4]=>[3,1,1]
[-3,5,-2,4,1]=>[1,4,-2,5,-3]=>[1,2,5,3,4]=>[4,1]
[-3,5,-2,4,-1]=>[-1,4,-2,5,-3]=>[5,1,4,2,3]=>[3,1,1]
[-3,5,-2,-4,1]=>[1,-4,-2,5,-3]=>[1,3,5,2,4]=>[3,2]
[-3,5,-2,-4,-1]=>[-1,-4,-2,5,-3]=>[5,2,4,1,3]=>[2,2,1]
[-3,-5,2,4,1]=>[1,4,2,-5,-3]=>[1,3,2,4,5]=>[4,1]
[-3,-5,2,4,-1]=>[-1,4,2,-5,-3]=>[5,2,1,3,4]=>[3,1,1]
[-3,-5,2,-4,1]=>[1,-4,2,-5,-3]=>[1,4,2,3,5]=>[4,1]
[-3,-5,2,-4,-1]=>[-1,-4,2,-5,-3]=>[5,3,1,2,4]=>[3,1,1]
[-3,-5,-2,4,1]=>[1,4,-2,-5,-3]=>[1,2,5,3,4]=>[4,1]
[-3,-5,-2,4,-1]=>[-1,4,-2,-5,-3]=>[5,1,4,2,3]=>[3,1,1]
[-3,-5,-2,-4,1]=>[1,-4,-2,-5,-3]=>[1,3,5,2,4]=>[3,2]
[-3,-5,-2,-4,-1]=>[-1,-4,-2,-5,-3]=>[5,2,4,1,3]=>[2,2,1]
[3,5,4,1,2]=>[2,1,4,5,3]=>[2,1,4,5,3]=>[3,2]
[3,5,4,1,-2]=>[-2,1,4,5,3]=>[5,1,3,4,2]=>[3,1,1]
[3,5,4,-1,2]=>[2,-1,4,5,3]=>[1,5,3,4,2]=>[3,1,1]
[3,5,4,-1,-2]=>[-2,-1,4,5,3]=>[4,5,2,3,1]=>[2,2,1]
[3,5,-4,1,2]=>[2,1,-4,5,3]=>[2,1,5,4,3]=>[2,2,1]
[3,5,-4,1,-2]=>[-2,1,-4,5,3]=>[5,1,4,3,2]=>[2,1,1,1]
[3,5,-4,-1,2]=>[2,-1,-4,5,3]=>[1,5,4,3,2]=>[2,1,1,1]
[3,5,-4,-1,-2]=>[-2,-1,-4,5,3]=>[4,5,3,2,1]=>[2,1,1,1]
[3,-5,4,1,2]=>[2,1,4,-5,3]=>[2,1,4,5,3]=>[3,2]
[3,-5,4,1,-2]=>[-2,1,4,-5,3]=>[5,1,3,4,2]=>[3,1,1]
[3,-5,4,-1,2]=>[2,-1,4,-5,3]=>[1,5,3,4,2]=>[3,1,1]
[3,-5,4,-1,-2]=>[-2,-1,4,-5,3]=>[4,5,2,3,1]=>[2,2,1]
[3,-5,-4,1,2]=>[2,1,-4,-5,3]=>[2,1,5,4,3]=>[2,2,1]
[3,-5,-4,1,-2]=>[-2,1,-4,-5,3]=>[5,1,4,3,2]=>[2,1,1,1]
[3,-5,-4,-1,2]=>[2,-1,-4,-5,3]=>[1,5,4,3,2]=>[2,1,1,1]
[3,-5,-4,-1,-2]=>[-2,-1,-4,-5,3]=>[4,5,3,2,1]=>[2,1,1,1]
[-3,5,4,1,2]=>[2,1,4,5,-3]=>[2,1,3,4,5]=>[4,1]
[-3,5,4,1,-2]=>[-2,1,4,5,-3]=>[5,1,2,3,4]=>[4,1]
[-3,5,4,-1,2]=>[2,-1,4,5,-3]=>[1,5,2,3,4]=>[4,1]
[-3,5,4,-1,-2]=>[-2,-1,4,5,-3]=>[4,5,1,2,3]=>[3,2]
[-3,5,-4,1,2]=>[2,1,-4,5,-3]=>[2,1,4,3,5]=>[3,2]
[-3,5,-4,1,-2]=>[-2,1,-4,5,-3]=>[5,1,3,2,4]=>[3,1,1]
[-3,5,-4,-1,2]=>[2,-1,-4,5,-3]=>[1,5,3,2,4]=>[3,1,1]
[-3,5,-4,-1,-2]=>[-2,-1,-4,5,-3]=>[4,5,2,1,3]=>[2,2,1]
[-3,-5,4,1,2]=>[2,1,4,-5,-3]=>[2,1,3,4,5]=>[4,1]
[-3,-5,4,1,-2]=>[-2,1,4,-5,-3]=>[5,1,2,3,4]=>[4,1]
[-3,-5,4,-1,2]=>[2,-1,4,-5,-3]=>[1,5,2,3,4]=>[4,1]
[-3,-5,4,-1,-2]=>[-2,-1,4,-5,-3]=>[4,5,1,2,3]=>[3,2]
[-3,-5,-4,1,2]=>[2,1,-4,-5,-3]=>[2,1,4,3,5]=>[3,2]
[-3,-5,-4,1,-2]=>[-2,1,-4,-5,-3]=>[5,1,3,2,4]=>[3,1,1]
[-3,-5,-4,-1,2]=>[2,-1,-4,-5,-3]=>[1,5,3,2,4]=>[3,1,1]
[-3,-5,-4,-1,-2]=>[-2,-1,-4,-5,-3]=>[4,5,2,1,3]=>[2,2,1]
[3,5,4,2,1]=>[1,2,4,5,3]=>[1,2,4,5,3]=>[4,1]
[3,5,4,2,-1]=>[-1,2,4,5,3]=>[5,1,3,4,2]=>[3,1,1]
[3,5,4,-2,1]=>[1,-2,4,5,3]=>[1,5,3,4,2]=>[3,1,1]
[3,5,4,-2,-1]=>[-1,-2,4,5,3]=>[5,4,2,3,1]=>[2,1,1,1]
[3,5,-4,2,1]=>[1,2,-4,5,3]=>[1,2,5,4,3]=>[3,1,1]
[3,5,-4,2,-1]=>[-1,2,-4,5,3]=>[5,1,4,3,2]=>[2,1,1,1]
[3,5,-4,-2,1]=>[1,-2,-4,5,3]=>[1,5,4,3,2]=>[2,1,1,1]
[3,5,-4,-2,-1]=>[-1,-2,-4,5,3]=>[5,4,3,2,1]=>[1,1,1,1,1]
[3,-5,4,2,1]=>[1,2,4,-5,3]=>[1,2,4,5,3]=>[4,1]
[3,-5,4,2,-1]=>[-1,2,4,-5,3]=>[5,1,3,4,2]=>[3,1,1]
[3,-5,4,-2,1]=>[1,-2,4,-5,3]=>[1,5,3,4,2]=>[3,1,1]
[3,-5,4,-2,-1]=>[-1,-2,4,-5,3]=>[5,4,2,3,1]=>[2,1,1,1]
[3,-5,-4,2,1]=>[1,2,-4,-5,3]=>[1,2,5,4,3]=>[3,1,1]
[3,-5,-4,2,-1]=>[-1,2,-4,-5,3]=>[5,1,4,3,2]=>[2,1,1,1]
[3,-5,-4,-2,1]=>[1,-2,-4,-5,3]=>[1,5,4,3,2]=>[2,1,1,1]
[3,-5,-4,-2,-1]=>[-1,-2,-4,-5,3]=>[5,4,3,2,1]=>[1,1,1,1,1]
[-3,5,4,2,1]=>[1,2,4,5,-3]=>[1,2,3,4,5]=>[5]
[-3,5,4,2,-1]=>[-1,2,4,5,-3]=>[5,1,2,3,4]=>[4,1]
[-3,5,4,-2,1]=>[1,-2,4,5,-3]=>[1,5,2,3,4]=>[4,1]
[-3,5,4,-2,-1]=>[-1,-2,4,5,-3]=>[5,4,1,2,3]=>[3,1,1]
[-3,5,-4,2,1]=>[1,2,-4,5,-3]=>[1,2,4,3,5]=>[4,1]
[-3,5,-4,2,-1]=>[-1,2,-4,5,-3]=>[5,1,3,2,4]=>[3,1,1]
[-3,5,-4,-2,1]=>[1,-2,-4,5,-3]=>[1,5,3,2,4]=>[3,1,1]
[-3,5,-4,-2,-1]=>[-1,-2,-4,5,-3]=>[5,4,2,1,3]=>[2,1,1,1]
[-3,-5,4,2,1]=>[1,2,4,-5,-3]=>[1,2,3,4,5]=>[5]
[-3,-5,4,2,-1]=>[-1,2,4,-5,-3]=>[5,1,2,3,4]=>[4,1]
[-3,-5,4,-2,1]=>[1,-2,4,-5,-3]=>[1,5,2,3,4]=>[4,1]
[-3,-5,4,-2,-1]=>[-1,-2,4,-5,-3]=>[5,4,1,2,3]=>[3,1,1]
[-3,-5,-4,2,1]=>[1,2,-4,-5,-3]=>[1,2,4,3,5]=>[4,1]
[-3,-5,-4,2,-1]=>[-1,2,-4,-5,-3]=>[5,1,3,2,4]=>[3,1,1]
[-3,-5,-4,-2,1]=>[1,-2,-4,-5,-3]=>[1,5,3,2,4]=>[3,1,1]
[-3,-5,-4,-2,-1]=>[-1,-2,-4,-5,-3]=>[5,4,2,1,3]=>[2,1,1,1]
[4,1,2,3,5]=>[5,3,2,1,4]=>[5,3,2,1,4]=>[2,1,1,1]
[4,1,2,3,-5]=>[-5,3,2,1,4]=>[5,3,2,1,4]=>[2,1,1,1]
[4,1,2,-3,5]=>[5,-3,2,1,4]=>[4,5,2,1,3]=>[2,2,1]
[4,1,2,-3,-5]=>[-5,-3,2,1,4]=>[4,5,2,1,3]=>[2,2,1]
[4,1,-2,3,5]=>[5,3,-2,1,4]=>[4,2,5,1,3]=>[2,2,1]
[4,1,-2,3,-5]=>[-5,3,-2,1,4]=>[4,2,5,1,3]=>[2,2,1]
[4,1,-2,-3,5]=>[5,-3,-2,1,4]=>[3,4,5,1,2]=>[3,2]
[4,1,-2,-3,-5]=>[-5,-3,-2,1,4]=>[3,4,5,1,2]=>[3,2]
[4,-1,2,3,5]=>[5,3,2,-1,4]=>[4,2,1,5,3]=>[2,2,1]
[4,-1,2,3,-5]=>[-5,3,2,-1,4]=>[4,2,1,5,3]=>[2,2,1]
[4,-1,2,-3,5]=>[5,-3,2,-1,4]=>[3,4,1,5,2]=>[3,2]
[4,-1,2,-3,-5]=>[-5,-3,2,-1,4]=>[3,4,1,5,2]=>[3,2]
[4,-1,-2,3,5]=>[5,3,-2,-1,4]=>[3,1,4,5,2]=>[3,2]
[4,-1,-2,3,-5]=>[-5,3,-2,-1,4]=>[3,1,4,5,2]=>[3,2]
[4,-1,-2,-3,5]=>[5,-3,-2,-1,4]=>[2,3,4,5,1]=>[4,1]
[4,-1,-2,-3,-5]=>[-5,-3,-2,-1,4]=>[2,3,4,5,1]=>[4,1]
[-4,1,2,3,5]=>[5,3,2,1,-4]=>[4,3,2,1,5]=>[2,1,1,1]
[-4,1,2,3,-5]=>[-5,3,2,1,-4]=>[4,3,2,1,5]=>[2,1,1,1]
[-4,1,2,-3,5]=>[5,-3,2,1,-4]=>[3,5,2,1,4]=>[2,2,1]
[-4,1,2,-3,-5]=>[-5,-3,2,1,-4]=>[3,5,2,1,4]=>[2,2,1]
[-4,1,-2,3,5]=>[5,3,-2,1,-4]=>[3,2,5,1,4]=>[2,2,1]
[-4,1,-2,3,-5]=>[-5,3,-2,1,-4]=>[3,2,5,1,4]=>[2,2,1]
[-4,1,-2,-3,5]=>[5,-3,-2,1,-4]=>[2,4,5,1,3]=>[3,2]
[-4,1,-2,-3,-5]=>[-5,-3,-2,1,-4]=>[2,4,5,1,3]=>[3,2]
[-4,-1,2,3,5]=>[5,3,2,-1,-4]=>[3,2,1,5,4]=>[2,2,1]
[-4,-1,2,3,-5]=>[-5,3,2,-1,-4]=>[3,2,1,5,4]=>[2,2,1]
[-4,-1,2,-3,5]=>[5,-3,2,-1,-4]=>[2,4,1,5,3]=>[3,2]
[-4,-1,2,-3,-5]=>[-5,-3,2,-1,-4]=>[2,4,1,5,3]=>[3,2]
[-4,-1,-2,3,5]=>[5,3,-2,-1,-4]=>[2,1,4,5,3]=>[3,2]
[-4,-1,-2,3,-5]=>[-5,3,-2,-1,-4]=>[2,1,4,5,3]=>[3,2]
[-4,-1,-2,-3,5]=>[5,-3,-2,-1,-4]=>[1,3,4,5,2]=>[4,1]
[-4,-1,-2,-3,-5]=>[-5,-3,-2,-1,-4]=>[1,3,4,5,2]=>[4,1]
[4,1,2,5,3]=>[3,5,2,1,4]=>[3,5,2,1,4]=>[2,2,1]
[4,1,2,5,-3]=>[-3,5,2,1,4]=>[5,4,2,1,3]=>[2,1,1,1]
[4,1,2,-5,3]=>[3,-5,2,1,4]=>[3,5,2,1,4]=>[2,2,1]
[4,1,2,-5,-3]=>[-3,-5,2,1,4]=>[5,4,2,1,3]=>[2,1,1,1]
[4,1,-2,5,3]=>[3,5,-2,1,4]=>[2,4,5,1,3]=>[3,2]
[4,1,-2,5,-3]=>[-3,5,-2,1,4]=>[4,3,5,1,2]=>[2,2,1]
[4,1,-2,-5,3]=>[3,-5,-2,1,4]=>[2,4,5,1,3]=>[3,2]
[4,1,-2,-5,-3]=>[-3,-5,-2,1,4]=>[4,3,5,1,2]=>[2,2,1]
[4,-1,2,5,3]=>[3,5,2,-1,4]=>[2,4,1,5,3]=>[3,2]
[4,-1,2,5,-3]=>[-3,5,2,-1,4]=>[4,3,1,5,2]=>[2,2,1]
[4,-1,2,-5,3]=>[3,-5,2,-1,4]=>[2,4,1,5,3]=>[3,2]
[4,-1,2,-5,-3]=>[-3,-5,2,-1,4]=>[4,3,1,5,2]=>[2,2,1]
[4,-1,-2,5,3]=>[3,5,-2,-1,4]=>[1,3,4,5,2]=>[4,1]
[4,-1,-2,5,-3]=>[-3,5,-2,-1,4]=>[3,2,4,5,1]=>[3,1,1]
[4,-1,-2,-5,3]=>[3,-5,-2,-1,4]=>[1,3,4,5,2]=>[4,1]
[4,-1,-2,-5,-3]=>[-3,-5,-2,-1,4]=>[3,2,4,5,1]=>[3,1,1]
[-4,1,2,5,3]=>[3,5,2,1,-4]=>[3,4,2,1,5]=>[3,1,1]
[-4,1,2,5,-3]=>[-3,5,2,1,-4]=>[5,3,2,1,4]=>[2,1,1,1]
[-4,1,2,-5,3]=>[3,-5,2,1,-4]=>[3,4,2,1,5]=>[3,1,1]
[-4,1,2,-5,-3]=>[-3,-5,2,1,-4]=>[5,3,2,1,4]=>[2,1,1,1]
[-4,1,-2,5,3]=>[3,5,-2,1,-4]=>[2,3,5,1,4]=>[3,2]
[-4,1,-2,5,-3]=>[-3,5,-2,1,-4]=>[4,2,5,1,3]=>[2,2,1]
[-4,1,-2,-5,3]=>[3,-5,-2,1,-4]=>[2,3,5,1,4]=>[3,2]
[-4,1,-2,-5,-3]=>[-3,-5,-2,1,-4]=>[4,2,5,1,3]=>[2,2,1]
[-4,-1,2,5,3]=>[3,5,2,-1,-4]=>[2,3,1,5,4]=>[3,2]
[-4,-1,2,5,-3]=>[-3,5,2,-1,-4]=>[4,2,1,5,3]=>[2,2,1]
[-4,-1,2,-5,3]=>[3,-5,2,-1,-4]=>[2,3,1,5,4]=>[3,2]
[-4,-1,2,-5,-3]=>[-3,-5,2,-1,-4]=>[4,2,1,5,3]=>[2,2,1]
[-4,-1,-2,5,3]=>[3,5,-2,-1,-4]=>[1,2,4,5,3]=>[4,1]
[-4,-1,-2,5,-3]=>[-3,5,-2,-1,-4]=>[3,1,4,5,2]=>[3,2]
[-4,-1,-2,-5,3]=>[3,-5,-2,-1,-4]=>[1,2,4,5,3]=>[4,1]
[-4,-1,-2,-5,-3]=>[-3,-5,-2,-1,-4]=>[3,1,4,5,2]=>[3,2]
[4,1,3,2,5]=>[5,2,3,1,4]=>[5,2,3,1,4]=>[3,1,1]
[4,1,3,2,-5]=>[-5,2,3,1,4]=>[5,2,3,1,4]=>[3,1,1]
[4,1,3,-2,5]=>[5,-2,3,1,4]=>[4,5,2,1,3]=>[2,2,1]
[4,1,3,-2,-5]=>[-5,-2,3,1,4]=>[4,5,2,1,3]=>[2,2,1]
[4,1,-3,2,5]=>[5,2,-3,1,4]=>[4,2,5,1,3]=>[2,2,1]
[4,1,-3,2,-5]=>[-5,2,-3,1,4]=>[4,2,5,1,3]=>[2,2,1]
[4,1,-3,-2,5]=>[5,-2,-3,1,4]=>[3,5,4,1,2]=>[2,2,1]
[4,1,-3,-2,-5]=>[-5,-2,-3,1,4]=>[3,5,4,1,2]=>[2,2,1]
[4,-1,3,2,5]=>[5,2,3,-1,4]=>[4,1,2,5,3]=>[3,2]
[4,-1,3,2,-5]=>[-5,2,3,-1,4]=>[4,1,2,5,3]=>[3,2]
[4,-1,3,-2,5]=>[5,-2,3,-1,4]=>[3,4,1,5,2]=>[3,2]
[4,-1,3,-2,-5]=>[-5,-2,3,-1,4]=>[3,4,1,5,2]=>[3,2]
[4,-1,-3,2,5]=>[5,2,-3,-1,4]=>[3,1,4,5,2]=>[3,2]
[4,-1,-3,2,-5]=>[-5,2,-3,-1,4]=>[3,1,4,5,2]=>[3,2]
[4,-1,-3,-2,5]=>[5,-2,-3,-1,4]=>[2,4,3,5,1]=>[3,1,1]
[4,-1,-3,-2,-5]=>[-5,-2,-3,-1,4]=>[2,4,3,5,1]=>[3,1,1]
[-4,1,3,2,5]=>[5,2,3,1,-4]=>[4,2,3,1,5]=>[3,1,1]
[-4,1,3,2,-5]=>[-5,2,3,1,-4]=>[4,2,3,1,5]=>[3,1,1]
[-4,1,3,-2,5]=>[5,-2,3,1,-4]=>[3,5,2,1,4]=>[2,2,1]
[-4,1,3,-2,-5]=>[-5,-2,3,1,-4]=>[3,5,2,1,4]=>[2,2,1]
[-4,1,-3,2,5]=>[5,2,-3,1,-4]=>[3,2,5,1,4]=>[2,2,1]
[-4,1,-3,2,-5]=>[-5,2,-3,1,-4]=>[3,2,5,1,4]=>[2,2,1]
[-4,1,-3,-2,5]=>[5,-2,-3,1,-4]=>[2,5,4,1,3]=>[2,2,1]
[-4,1,-3,-2,-5]=>[-5,-2,-3,1,-4]=>[2,5,4,1,3]=>[2,2,1]
[-4,-1,3,2,5]=>[5,2,3,-1,-4]=>[3,1,2,5,4]=>[3,2]
[-4,-1,3,2,-5]=>[-5,2,3,-1,-4]=>[3,1,2,5,4]=>[3,2]
[-4,-1,3,-2,5]=>[5,-2,3,-1,-4]=>[2,4,1,5,3]=>[3,2]
[-4,-1,3,-2,-5]=>[-5,-2,3,-1,-4]=>[2,4,1,5,3]=>[3,2]
[-4,-1,-3,2,5]=>[5,2,-3,-1,-4]=>[2,1,4,5,3]=>[3,2]
[-4,-1,-3,2,-5]=>[-5,2,-3,-1,-4]=>[2,1,4,5,3]=>[3,2]
[-4,-1,-3,-2,5]=>[5,-2,-3,-1,-4]=>[1,4,3,5,2]=>[3,1,1]
[-4,-1,-3,-2,-5]=>[-5,-2,-3,-1,-4]=>[1,4,3,5,2]=>[3,1,1]
[4,1,3,5,2]=>[2,5,3,1,4]=>[2,5,3,1,4]=>[3,1,1]
[4,1,3,5,-2]=>[-2,5,3,1,4]=>[5,4,2,1,3]=>[2,1,1,1]
[4,1,3,-5,2]=>[2,-5,3,1,4]=>[2,5,3,1,4]=>[3,1,1]
[4,1,3,-5,-2]=>[-2,-5,3,1,4]=>[5,4,2,1,3]=>[2,1,1,1]
[4,1,-3,5,2]=>[2,5,-3,1,4]=>[2,4,5,1,3]=>[3,2]
[4,1,-3,5,-2]=>[-2,5,-3,1,4]=>[5,3,4,1,2]=>[2,2,1]
[4,1,-3,-5,2]=>[2,-5,-3,1,4]=>[2,4,5,1,3]=>[3,2]
[4,1,-3,-5,-2]=>[-2,-5,-3,1,4]=>[5,3,4,1,2]=>[2,2,1]
[4,-1,3,5,2]=>[2,5,3,-1,4]=>[1,4,2,5,3]=>[3,2]
[4,-1,3,5,-2]=>[-2,5,3,-1,4]=>[4,3,1,5,2]=>[2,2,1]
[4,-1,3,-5,2]=>[2,-5,3,-1,4]=>[1,4,2,5,3]=>[3,2]
[4,-1,3,-5,-2]=>[-2,-5,3,-1,4]=>[4,3,1,5,2]=>[2,2,1]
[4,-1,-3,5,2]=>[2,5,-3,-1,4]=>[1,3,4,5,2]=>[4,1]
[4,-1,-3,5,-2]=>[-2,5,-3,-1,4]=>[4,2,3,5,1]=>[3,1,1]
[4,-1,-3,-5,2]=>[2,-5,-3,-1,4]=>[1,3,4,5,2]=>[4,1]
[4,-1,-3,-5,-2]=>[-2,-5,-3,-1,4]=>[4,2,3,5,1]=>[3,1,1]
[-4,1,3,5,2]=>[2,5,3,1,-4]=>[2,4,3,1,5]=>[3,1,1]
[-4,1,3,5,-2]=>[-2,5,3,1,-4]=>[5,3,2,1,4]=>[2,1,1,1]
[-4,1,3,-5,2]=>[2,-5,3,1,-4]=>[2,4,3,1,5]=>[3,1,1]
[-4,1,3,-5,-2]=>[-2,-5,3,1,-4]=>[5,3,2,1,4]=>[2,1,1,1]
[-4,1,-3,5,2]=>[2,5,-3,1,-4]=>[2,3,5,1,4]=>[3,2]
[-4,1,-3,5,-2]=>[-2,5,-3,1,-4]=>[5,2,4,1,3]=>[2,2,1]
[-4,1,-3,-5,2]=>[2,-5,-3,1,-4]=>[2,3,5,1,4]=>[3,2]
[-4,1,-3,-5,-2]=>[-2,-5,-3,1,-4]=>[5,2,4,1,3]=>[2,2,1]
[-4,-1,3,5,2]=>[2,5,3,-1,-4]=>[1,3,2,5,4]=>[3,2]
[-4,-1,3,5,-2]=>[-2,5,3,-1,-4]=>[4,2,1,5,3]=>[2,2,1]
[-4,-1,3,-5,2]=>[2,-5,3,-1,-4]=>[1,3,2,5,4]=>[3,2]
[-4,-1,3,-5,-2]=>[-2,-5,3,-1,-4]=>[4,2,1,5,3]=>[2,2,1]
[-4,-1,-3,5,2]=>[2,5,-3,-1,-4]=>[1,2,4,5,3]=>[4,1]
[-4,-1,-3,5,-2]=>[-2,5,-3,-1,-4]=>[4,1,3,5,2]=>[3,1,1]
[-4,-1,-3,-5,2]=>[2,-5,-3,-1,-4]=>[1,2,4,5,3]=>[4,1]
[-4,-1,-3,-5,-2]=>[-2,-5,-3,-1,-4]=>[4,1,3,5,2]=>[3,1,1]
[4,1,5,2,3]=>[3,2,5,1,4]=>[3,2,5,1,4]=>[2,2,1]
[4,1,5,2,-3]=>[-3,2,5,1,4]=>[5,2,4,1,3]=>[2,2,1]
[4,1,5,-2,3]=>[3,-2,5,1,4]=>[2,5,4,1,3]=>[2,2,1]
[4,1,5,-2,-3]=>[-3,-2,5,1,4]=>[4,5,3,1,2]=>[2,2,1]
[4,1,-5,2,3]=>[3,2,-5,1,4]=>[3,2,5,1,4]=>[2,2,1]
[4,1,-5,2,-3]=>[-3,2,-5,1,4]=>[5,2,4,1,3]=>[2,2,1]
[4,1,-5,-2,3]=>[3,-2,-5,1,4]=>[2,5,4,1,3]=>[2,2,1]
[4,1,-5,-2,-3]=>[-3,-2,-5,1,4]=>[4,5,3,1,2]=>[2,2,1]
[4,-1,5,2,3]=>[3,2,5,-1,4]=>[2,1,4,5,3]=>[3,2]
[4,-1,5,2,-3]=>[-3,2,5,-1,4]=>[4,1,3,5,2]=>[3,1,1]
[4,-1,5,-2,3]=>[3,-2,5,-1,4]=>[1,4,3,5,2]=>[3,1,1]
[4,-1,5,-2,-3]=>[-3,-2,5,-1,4]=>[3,4,2,5,1]=>[3,1,1]
[4,-1,-5,2,3]=>[3,2,-5,-1,4]=>[2,1,4,5,3]=>[3,2]
[4,-1,-5,2,-3]=>[-3,2,-5,-1,4]=>[4,1,3,5,2]=>[3,1,1]
[4,-1,-5,-2,3]=>[3,-2,-5,-1,4]=>[1,4,3,5,2]=>[3,1,1]
[4,-1,-5,-2,-3]=>[-3,-2,-5,-1,4]=>[3,4,2,5,1]=>[3,1,1]
[-4,1,5,2,3]=>[3,2,5,1,-4]=>[3,2,4,1,5]=>[3,1,1]
[-4,1,5,2,-3]=>[-3,2,5,1,-4]=>[5,2,3,1,4]=>[3,1,1]
[-4,1,5,-2,3]=>[3,-2,5,1,-4]=>[2,5,3,1,4]=>[3,1,1]
[-4,1,5,-2,-3]=>[-3,-2,5,1,-4]=>[4,5,2,1,3]=>[2,2,1]
[-4,1,-5,2,3]=>[3,2,-5,1,-4]=>[3,2,4,1,5]=>[3,1,1]
[-4,1,-5,2,-3]=>[-3,2,-5,1,-4]=>[5,2,3,1,4]=>[3,1,1]
[-4,1,-5,-2,3]=>[3,-2,-5,1,-4]=>[2,5,3,1,4]=>[3,1,1]
[-4,1,-5,-2,-3]=>[-3,-2,-5,1,-4]=>[4,5,2,1,3]=>[2,2,1]
[-4,-1,5,2,3]=>[3,2,5,-1,-4]=>[2,1,3,5,4]=>[3,2]
[-4,-1,5,2,-3]=>[-3,2,5,-1,-4]=>[4,1,2,5,3]=>[3,2]
[-4,-1,5,-2,3]=>[3,-2,5,-1,-4]=>[1,4,2,5,3]=>[3,2]
[-4,-1,5,-2,-3]=>[-3,-2,5,-1,-4]=>[3,4,1,5,2]=>[3,2]
[-4,-1,-5,2,3]=>[3,2,-5,-1,-4]=>[2,1,3,5,4]=>[3,2]
[-4,-1,-5,2,-3]=>[-3,2,-5,-1,-4]=>[4,1,2,5,3]=>[3,2]
[-4,-1,-5,-2,3]=>[3,-2,-5,-1,-4]=>[1,4,2,5,3]=>[3,2]
[-4,-1,-5,-2,-3]=>[-3,-2,-5,-1,-4]=>[3,4,1,5,2]=>[3,2]
[4,1,5,3,2]=>[2,3,5,1,4]=>[2,3,5,1,4]=>[3,2]
[4,1,5,3,-2]=>[-2,3,5,1,4]=>[5,2,4,1,3]=>[2,2,1]
[4,1,5,-3,2]=>[2,-3,5,1,4]=>[2,5,4,1,3]=>[2,2,1]
[4,1,5,-3,-2]=>[-2,-3,5,1,4]=>[5,4,3,1,2]=>[2,1,1,1]
[4,1,-5,3,2]=>[2,3,-5,1,4]=>[2,3,5,1,4]=>[3,2]
[4,1,-5,3,-2]=>[-2,3,-5,1,4]=>[5,2,4,1,3]=>[2,2,1]
[4,1,-5,-3,2]=>[2,-3,-5,1,4]=>[2,5,4,1,3]=>[2,2,1]
[4,1,-5,-3,-2]=>[-2,-3,-5,1,4]=>[5,4,3,1,2]=>[2,1,1,1]
[4,-1,5,3,2]=>[2,3,5,-1,4]=>[1,2,4,5,3]=>[4,1]
[4,-1,5,3,-2]=>[-2,3,5,-1,4]=>[4,1,3,5,2]=>[3,1,1]
[4,-1,5,-3,2]=>[2,-3,5,-1,4]=>[1,4,3,5,2]=>[3,1,1]
[4,-1,5,-3,-2]=>[-2,-3,5,-1,4]=>[4,3,2,5,1]=>[2,1,1,1]
[4,-1,-5,3,2]=>[2,3,-5,-1,4]=>[1,2,4,5,3]=>[4,1]
[4,-1,-5,3,-2]=>[-2,3,-5,-1,4]=>[4,1,3,5,2]=>[3,1,1]
[4,-1,-5,-3,2]=>[2,-3,-5,-1,4]=>[1,4,3,5,2]=>[3,1,1]
[4,-1,-5,-3,-2]=>[-2,-3,-5,-1,4]=>[4,3,2,5,1]=>[2,1,1,1]
[-4,1,5,3,2]=>[2,3,5,1,-4]=>[2,3,4,1,5]=>[4,1]
[-4,1,5,3,-2]=>[-2,3,5,1,-4]=>[5,2,3,1,4]=>[3,1,1]
[-4,1,5,-3,2]=>[2,-3,5,1,-4]=>[2,5,3,1,4]=>[3,1,1]
[-4,1,5,-3,-2]=>[-2,-3,5,1,-4]=>[5,4,2,1,3]=>[2,1,1,1]
[-4,1,-5,3,2]=>[2,3,-5,1,-4]=>[2,3,4,1,5]=>[4,1]
[-4,1,-5,3,-2]=>[-2,3,-5,1,-4]=>[5,2,3,1,4]=>[3,1,1]
[-4,1,-5,-3,2]=>[2,-3,-5,1,-4]=>[2,5,3,1,4]=>[3,1,1]
[-4,1,-5,-3,-2]=>[-2,-3,-5,1,-4]=>[5,4,2,1,3]=>[2,1,1,1]
[-4,-1,5,3,2]=>[2,3,5,-1,-4]=>[1,2,3,5,4]=>[4,1]
[-4,-1,5,3,-2]=>[-2,3,5,-1,-4]=>[4,1,2,5,3]=>[3,2]
[-4,-1,5,-3,2]=>[2,-3,5,-1,-4]=>[1,4,2,5,3]=>[3,2]
[-4,-1,5,-3,-2]=>[-2,-3,5,-1,-4]=>[4,3,1,5,2]=>[2,2,1]
[-4,-1,-5,3,2]=>[2,3,-5,-1,-4]=>[1,2,3,5,4]=>[4,1]
[-4,-1,-5,3,-2]=>[-2,3,-5,-1,-4]=>[4,1,2,5,3]=>[3,2]
[-4,-1,-5,-3,2]=>[2,-3,-5,-1,-4]=>[1,4,2,5,3]=>[3,2]
[-4,-1,-5,-3,-2]=>[-2,-3,-5,-1,-4]=>[4,3,1,5,2]=>[2,2,1]
[4,2,1,3,5]=>[5,3,1,2,4]=>[5,3,1,2,4]=>[3,1,1]
[4,2,1,3,-5]=>[-5,3,1,2,4]=>[5,3,1,2,4]=>[3,1,1]
[4,2,1,-3,5]=>[5,-3,1,2,4]=>[4,5,1,2,3]=>[3,2]
[4,2,1,-3,-5]=>[-5,-3,1,2,4]=>[4,5,1,2,3]=>[3,2]
[4,2,-1,3,5]=>[5,3,-1,2,4]=>[4,2,5,1,3]=>[2,2,1]
[4,2,-1,3,-5]=>[-5,3,-1,2,4]=>[4,2,5,1,3]=>[2,2,1]
[4,2,-1,-3,5]=>[5,-3,-1,2,4]=>[3,4,5,1,2]=>[3,2]
[4,2,-1,-3,-5]=>[-5,-3,-1,2,4]=>[3,4,5,1,2]=>[3,2]
[4,-2,1,3,5]=>[5,3,1,-2,4]=>[4,2,1,5,3]=>[2,2,1]
[4,-2,1,3,-5]=>[-5,3,1,-2,4]=>[4,2,1,5,3]=>[2,2,1]
[4,-2,1,-3,5]=>[5,-3,1,-2,4]=>[3,4,1,5,2]=>[3,2]
[4,-2,1,-3,-5]=>[-5,-3,1,-2,4]=>[3,4,1,5,2]=>[3,2]
[4,-2,-1,3,5]=>[5,3,-1,-2,4]=>[3,1,5,4,2]=>[2,2,1]
[4,-2,-1,3,-5]=>[-5,3,-1,-2,4]=>[3,1,5,4,2]=>[2,2,1]
[4,-2,-1,-3,5]=>[5,-3,-1,-2,4]=>[2,3,5,4,1]=>[3,1,1]
[4,-2,-1,-3,-5]=>[-5,-3,-1,-2,4]=>[2,3,5,4,1]=>[3,1,1]
[-4,2,1,3,5]=>[5,3,1,2,-4]=>[4,3,1,2,5]=>[3,1,1]
[-4,2,1,3,-5]=>[-5,3,1,2,-4]=>[4,3,1,2,5]=>[3,1,1]
[-4,2,1,-3,5]=>[5,-3,1,2,-4]=>[3,5,1,2,4]=>[3,2]
[-4,2,1,-3,-5]=>[-5,-3,1,2,-4]=>[3,5,1,2,4]=>[3,2]
[-4,2,-1,3,5]=>[5,3,-1,2,-4]=>[3,2,5,1,4]=>[2,2,1]
[-4,2,-1,3,-5]=>[-5,3,-1,2,-4]=>[3,2,5,1,4]=>[2,2,1]
[-4,2,-1,-3,5]=>[5,-3,-1,2,-4]=>[2,4,5,1,3]=>[3,2]
[-4,2,-1,-3,-5]=>[-5,-3,-1,2,-4]=>[2,4,5,1,3]=>[3,2]
[-4,-2,1,3,5]=>[5,3,1,-2,-4]=>[3,2,1,5,4]=>[2,2,1]
[-4,-2,1,3,-5]=>[-5,3,1,-2,-4]=>[3,2,1,5,4]=>[2,2,1]
[-4,-2,1,-3,5]=>[5,-3,1,-2,-4]=>[2,4,1,5,3]=>[3,2]
[-4,-2,1,-3,-5]=>[-5,-3,1,-2,-4]=>[2,4,1,5,3]=>[3,2]
[-4,-2,-1,3,5]=>[5,3,-1,-2,-4]=>[2,1,5,4,3]=>[2,2,1]
[-4,-2,-1,3,-5]=>[-5,3,-1,-2,-4]=>[2,1,5,4,3]=>[2,2,1]
[-4,-2,-1,-3,5]=>[5,-3,-1,-2,-4]=>[1,3,5,4,2]=>[3,1,1]
[-4,-2,-1,-3,-5]=>[-5,-3,-1,-2,-4]=>[1,3,5,4,2]=>[3,1,1]
[4,2,1,5,3]=>[3,5,1,2,4]=>[3,5,1,2,4]=>[3,2]
[4,2,1,5,-3]=>[-3,5,1,2,4]=>[5,4,1,2,3]=>[3,1,1]
[4,2,1,-5,3]=>[3,-5,1,2,4]=>[3,5,1,2,4]=>[3,2]
[4,2,1,-5,-3]=>[-3,-5,1,2,4]=>[5,4,1,2,3]=>[3,1,1]
[4,2,-1,5,3]=>[3,5,-1,2,4]=>[2,4,5,1,3]=>[3,2]
[4,2,-1,5,-3]=>[-3,5,-1,2,4]=>[4,3,5,1,2]=>[2,2,1]
[4,2,-1,-5,3]=>[3,-5,-1,2,4]=>[2,4,5,1,3]=>[3,2]
[4,2,-1,-5,-3]=>[-3,-5,-1,2,4]=>[4,3,5,1,2]=>[2,2,1]
[4,-2,1,5,3]=>[3,5,1,-2,4]=>[2,4,1,5,3]=>[3,2]
[4,-2,1,5,-3]=>[-3,5,1,-2,4]=>[4,3,1,5,2]=>[2,2,1]
[4,-2,1,-5,3]=>[3,-5,1,-2,4]=>[2,4,1,5,3]=>[3,2]
[4,-2,1,-5,-3]=>[-3,-5,1,-2,4]=>[4,3,1,5,2]=>[2,2,1]
[4,-2,-1,5,3]=>[3,5,-1,-2,4]=>[1,3,5,4,2]=>[3,1,1]
[4,-2,-1,5,-3]=>[-3,5,-1,-2,4]=>[3,2,5,4,1]=>[2,2,1]
[4,-2,-1,-5,3]=>[3,-5,-1,-2,4]=>[1,3,5,4,2]=>[3,1,1]
[4,-2,-1,-5,-3]=>[-3,-5,-1,-2,4]=>[3,2,5,4,1]=>[2,2,1]
[-4,2,1,5,3]=>[3,5,1,2,-4]=>[3,4,1,2,5]=>[3,2]
[-4,2,1,5,-3]=>[-3,5,1,2,-4]=>[5,3,1,2,4]=>[3,1,1]
[-4,2,1,-5,3]=>[3,-5,1,2,-4]=>[3,4,1,2,5]=>[3,2]
[-4,2,1,-5,-3]=>[-3,-5,1,2,-4]=>[5,3,1,2,4]=>[3,1,1]
[-4,2,-1,5,3]=>[3,5,-1,2,-4]=>[2,3,5,1,4]=>[3,2]
[-4,2,-1,5,-3]=>[-3,5,-1,2,-4]=>[4,2,5,1,3]=>[2,2,1]
[-4,2,-1,-5,3]=>[3,-5,-1,2,-4]=>[2,3,5,1,4]=>[3,2]
[-4,2,-1,-5,-3]=>[-3,-5,-1,2,-4]=>[4,2,5,1,3]=>[2,2,1]
[-4,-2,1,5,3]=>[3,5,1,-2,-4]=>[2,3,1,5,4]=>[3,2]
[-4,-2,1,5,-3]=>[-3,5,1,-2,-4]=>[4,2,1,5,3]=>[2,2,1]
[-4,-2,1,-5,3]=>[3,-5,1,-2,-4]=>[2,3,1,5,4]=>[3,2]
[-4,-2,1,-5,-3]=>[-3,-5,1,-2,-4]=>[4,2,1,5,3]=>[2,2,1]
[-4,-2,-1,5,3]=>[3,5,-1,-2,-4]=>[1,2,5,4,3]=>[3,1,1]
[-4,-2,-1,5,-3]=>[-3,5,-1,-2,-4]=>[3,1,5,4,2]=>[2,2,1]
[-4,-2,-1,-5,3]=>[3,-5,-1,-2,-4]=>[1,2,5,4,3]=>[3,1,1]
[-4,-2,-1,-5,-3]=>[-3,-5,-1,-2,-4]=>[3,1,5,4,2]=>[2,2,1]
[4,2,3,1,5]=>[5,1,3,2,4]=>[5,1,3,2,4]=>[3,1,1]
[4,2,3,1,-5]=>[-5,1,3,2,4]=>[5,1,3,2,4]=>[3,1,1]
[4,2,3,-1,5]=>[5,-1,3,2,4]=>[4,5,2,1,3]=>[2,2,1]
[4,2,3,-1,-5]=>[-5,-1,3,2,4]=>[4,5,2,1,3]=>[2,2,1]
[4,2,-3,1,5]=>[5,1,-3,2,4]=>[4,1,5,2,3]=>[3,2]
[4,2,-3,1,-5]=>[-5,1,-3,2,4]=>[4,1,5,2,3]=>[3,2]
[4,2,-3,-1,5]=>[5,-1,-3,2,4]=>[3,5,4,1,2]=>[2,2,1]
[4,2,-3,-1,-5]=>[-5,-1,-3,2,4]=>[3,5,4,1,2]=>[2,2,1]
[4,-2,3,1,5]=>[5,1,3,-2,4]=>[4,1,2,5,3]=>[3,2]
[4,-2,3,1,-5]=>[-5,1,3,-2,4]=>[4,1,2,5,3]=>[3,2]
[4,-2,3,-1,5]=>[5,-1,3,-2,4]=>[3,5,1,4,2]=>[2,2,1]
[4,-2,3,-1,-5]=>[-5,-1,3,-2,4]=>[3,5,1,4,2]=>[2,2,1]
[4,-2,-3,1,5]=>[5,1,-3,-2,4]=>[3,1,4,5,2]=>[3,2]
[4,-2,-3,1,-5]=>[-5,1,-3,-2,4]=>[3,1,4,5,2]=>[3,2]
[4,-2,-3,-1,5]=>[5,-1,-3,-2,4]=>[2,5,3,4,1]=>[3,1,1]
[4,-2,-3,-1,-5]=>[-5,-1,-3,-2,4]=>[2,5,3,4,1]=>[3,1,1]
[-4,2,3,1,5]=>[5,1,3,2,-4]=>[4,1,3,2,5]=>[3,1,1]
[-4,2,3,1,-5]=>[-5,1,3,2,-4]=>[4,1,3,2,5]=>[3,1,1]
[-4,2,3,-1,5]=>[5,-1,3,2,-4]=>[3,5,2,1,4]=>[2,2,1]
[-4,2,3,-1,-5]=>[-5,-1,3,2,-4]=>[3,5,2,1,4]=>[2,2,1]
[-4,2,-3,1,5]=>[5,1,-3,2,-4]=>[3,1,5,2,4]=>[3,2]
[-4,2,-3,1,-5]=>[-5,1,-3,2,-4]=>[3,1,5,2,4]=>[3,2]
[-4,2,-3,-1,5]=>[5,-1,-3,2,-4]=>[2,5,4,1,3]=>[2,2,1]
[-4,2,-3,-1,-5]=>[-5,-1,-3,2,-4]=>[2,5,4,1,3]=>[2,2,1]
[-4,-2,3,1,5]=>[5,1,3,-2,-4]=>[3,1,2,5,4]=>[3,2]
[-4,-2,3,1,-5]=>[-5,1,3,-2,-4]=>[3,1,2,5,4]=>[3,2]
[-4,-2,3,-1,5]=>[5,-1,3,-2,-4]=>[2,5,1,4,3]=>[2,2,1]
[-4,-2,3,-1,-5]=>[-5,-1,3,-2,-4]=>[2,5,1,4,3]=>[2,2,1]
[-4,-2,-3,1,5]=>[5,1,-3,-2,-4]=>[2,1,4,5,3]=>[3,2]
[-4,-2,-3,1,-5]=>[-5,1,-3,-2,-4]=>[2,1,4,5,3]=>[3,2]
[-4,-2,-3,-1,5]=>[5,-1,-3,-2,-4]=>[1,5,3,4,2]=>[3,1,1]
[-4,-2,-3,-1,-5]=>[-5,-1,-3,-2,-4]=>[1,5,3,4,2]=>[3,1,1]
[4,2,3,5,1]=>[1,5,3,2,4]=>[1,5,3,2,4]=>[3,1,1]
[4,2,3,5,-1]=>[-1,5,3,2,4]=>[5,4,2,1,3]=>[2,1,1,1]
[4,2,3,-5,1]=>[1,-5,3,2,4]=>[1,5,3,2,4]=>[3,1,1]
[4,2,3,-5,-1]=>[-1,-5,3,2,4]=>[5,4,2,1,3]=>[2,1,1,1]
[4,2,-3,5,1]=>[1,5,-3,2,4]=>[1,4,5,2,3]=>[3,2]
[4,2,-3,5,-1]=>[-1,5,-3,2,4]=>[5,3,4,1,2]=>[2,2,1]
[4,2,-3,-5,1]=>[1,-5,-3,2,4]=>[1,4,5,2,3]=>[3,2]
[4,2,-3,-5,-1]=>[-1,-5,-3,2,4]=>[5,3,4,1,2]=>[2,2,1]
[4,-2,3,5,1]=>[1,5,3,-2,4]=>[1,4,2,5,3]=>[3,2]
[4,-2,3,5,-1]=>[-1,5,3,-2,4]=>[5,3,1,4,2]=>[2,2,1]
[4,-2,3,-5,1]=>[1,-5,3,-2,4]=>[1,4,2,5,3]=>[3,2]
[4,-2,3,-5,-1]=>[-1,-5,3,-2,4]=>[5,3,1,4,2]=>[2,2,1]
[4,-2,-3,5,1]=>[1,5,-3,-2,4]=>[1,3,4,5,2]=>[4,1]
[4,-2,-3,5,-1]=>[-1,5,-3,-2,4]=>[5,2,3,4,1]=>[3,1,1]
[4,-2,-3,-5,1]=>[1,-5,-3,-2,4]=>[1,3,4,5,2]=>[4,1]
[4,-2,-3,-5,-1]=>[-1,-5,-3,-2,4]=>[5,2,3,4,1]=>[3,1,1]
[-4,2,3,5,1]=>[1,5,3,2,-4]=>[1,4,3,2,5]=>[3,1,1]
[-4,2,3,5,-1]=>[-1,5,3,2,-4]=>[5,3,2,1,4]=>[2,1,1,1]
[-4,2,3,-5,1]=>[1,-5,3,2,-4]=>[1,4,3,2,5]=>[3,1,1]
[-4,2,3,-5,-1]=>[-1,-5,3,2,-4]=>[5,3,2,1,4]=>[2,1,1,1]
[-4,2,-3,5,1]=>[1,5,-3,2,-4]=>[1,3,5,2,4]=>[3,2]
[-4,2,-3,5,-1]=>[-1,5,-3,2,-4]=>[5,2,4,1,3]=>[2,2,1]
[-4,2,-3,-5,1]=>[1,-5,-3,2,-4]=>[1,3,5,2,4]=>[3,2]
[-4,2,-3,-5,-1]=>[-1,-5,-3,2,-4]=>[5,2,4,1,3]=>[2,2,1]
[-4,-2,3,5,1]=>[1,5,3,-2,-4]=>[1,3,2,5,4]=>[3,2]
[-4,-2,3,5,-1]=>[-1,5,3,-2,-4]=>[5,2,1,4,3]=>[2,2,1]
[-4,-2,3,-5,1]=>[1,-5,3,-2,-4]=>[1,3,2,5,4]=>[3,2]
[-4,-2,3,-5,-1]=>[-1,-5,3,-2,-4]=>[5,2,1,4,3]=>[2,2,1]
[-4,-2,-3,5,1]=>[1,5,-3,-2,-4]=>[1,2,4,5,3]=>[4,1]
[-4,-2,-3,5,-1]=>[-1,5,-3,-2,-4]=>[5,1,3,4,2]=>[3,1,1]
[-4,-2,-3,-5,1]=>[1,-5,-3,-2,-4]=>[1,2,4,5,3]=>[4,1]
[-4,-2,-3,-5,-1]=>[-1,-5,-3,-2,-4]=>[5,1,3,4,2]=>[3,1,1]
[4,2,5,1,3]=>[3,1,5,2,4]=>[3,1,5,2,4]=>[3,2]
[4,2,5,1,-3]=>[-3,1,5,2,4]=>[5,1,4,2,3]=>[3,1,1]
[4,2,5,-1,3]=>[3,-1,5,2,4]=>[2,5,4,1,3]=>[2,2,1]
[4,2,5,-1,-3]=>[-3,-1,5,2,4]=>[4,5,3,1,2]=>[2,2,1]
[4,2,-5,1,3]=>[3,1,-5,2,4]=>[3,1,5,2,4]=>[3,2]
[4,2,-5,1,-3]=>[-3,1,-5,2,4]=>[5,1,4,2,3]=>[3,1,1]
[4,2,-5,-1,3]=>[3,-1,-5,2,4]=>[2,5,4,1,3]=>[2,2,1]
[4,2,-5,-1,-3]=>[-3,-1,-5,2,4]=>[4,5,3,1,2]=>[2,2,1]
[4,-2,5,1,3]=>[3,1,5,-2,4]=>[2,1,4,5,3]=>[3,2]
[4,-2,5,1,-3]=>[-3,1,5,-2,4]=>[4,1,3,5,2]=>[3,1,1]
[4,-2,5,-1,3]=>[3,-1,5,-2,4]=>[1,5,3,4,2]=>[3,1,1]
[4,-2,5,-1,-3]=>[-3,-1,5,-2,4]=>[3,5,2,4,1]=>[2,2,1]
[4,-2,-5,1,3]=>[3,1,-5,-2,4]=>[2,1,4,5,3]=>[3,2]
[4,-2,-5,1,-3]=>[-3,1,-5,-2,4]=>[4,1,3,5,2]=>[3,1,1]
[4,-2,-5,-1,3]=>[3,-1,-5,-2,4]=>[1,5,3,4,2]=>[3,1,1]
[4,-2,-5,-1,-3]=>[-3,-1,-5,-2,4]=>[3,5,2,4,1]=>[2,2,1]
[-4,2,5,1,3]=>[3,1,5,2,-4]=>[3,1,4,2,5]=>[3,2]
[-4,2,5,1,-3]=>[-3,1,5,2,-4]=>[5,1,3,2,4]=>[3,1,1]
[-4,2,5,-1,3]=>[3,-1,5,2,-4]=>[2,5,3,1,4]=>[3,1,1]
[-4,2,5,-1,-3]=>[-3,-1,5,2,-4]=>[4,5,2,1,3]=>[2,2,1]
[-4,2,-5,1,3]=>[3,1,-5,2,-4]=>[3,1,4,2,5]=>[3,2]
[-4,2,-5,1,-3]=>[-3,1,-5,2,-4]=>[5,1,3,2,4]=>[3,1,1]
[-4,2,-5,-1,3]=>[3,-1,-5,2,-4]=>[2,5,3,1,4]=>[3,1,1]
[-4,2,-5,-1,-3]=>[-3,-1,-5,2,-4]=>[4,5,2,1,3]=>[2,2,1]
[-4,-2,5,1,3]=>[3,1,5,-2,-4]=>[2,1,3,5,4]=>[3,2]
[-4,-2,5,1,-3]=>[-3,1,5,-2,-4]=>[4,1,2,5,3]=>[3,2]
[-4,-2,5,-1,3]=>[3,-1,5,-2,-4]=>[1,5,2,4,3]=>[3,1,1]
[-4,-2,5,-1,-3]=>[-3,-1,5,-2,-4]=>[3,5,1,4,2]=>[2,2,1]
[-4,-2,-5,1,3]=>[3,1,-5,-2,-4]=>[2,1,3,5,4]=>[3,2]
[-4,-2,-5,1,-3]=>[-3,1,-5,-2,-4]=>[4,1,2,5,3]=>[3,2]
[-4,-2,-5,-1,3]=>[3,-1,-5,-2,-4]=>[1,5,2,4,3]=>[3,1,1]
[-4,-2,-5,-1,-3]=>[-3,-1,-5,-2,-4]=>[3,5,1,4,2]=>[2,2,1]
[4,2,5,3,1]=>[1,3,5,2,4]=>[1,3,5,2,4]=>[3,2]
[4,2,5,3,-1]=>[-1,3,5,2,4]=>[5,2,4,1,3]=>[2,2,1]
[4,2,5,-3,1]=>[1,-3,5,2,4]=>[1,5,4,2,3]=>[3,1,1]
[4,2,5,-3,-1]=>[-1,-3,5,2,4]=>[5,4,3,1,2]=>[2,1,1,1]
[4,2,-5,3,1]=>[1,3,-5,2,4]=>[1,3,5,2,4]=>[3,2]
[4,2,-5,3,-1]=>[-1,3,-5,2,4]=>[5,2,4,1,3]=>[2,2,1]
[4,2,-5,-3,1]=>[1,-3,-5,2,4]=>[1,5,4,2,3]=>[3,1,1]
[4,2,-5,-3,-1]=>[-1,-3,-5,2,4]=>[5,4,3,1,2]=>[2,1,1,1]
[4,-2,5,3,1]=>[1,3,5,-2,4]=>[1,2,4,5,3]=>[4,1]
[4,-2,5,3,-1]=>[-1,3,5,-2,4]=>[5,1,3,4,2]=>[3,1,1]
[4,-2,5,-3,1]=>[1,-3,5,-2,4]=>[1,4,3,5,2]=>[3,1,1]
[4,-2,5,-3,-1]=>[-1,-3,5,-2,4]=>[5,3,2,4,1]=>[2,1,1,1]
[4,-2,-5,3,1]=>[1,3,-5,-2,4]=>[1,2,4,5,3]=>[4,1]
[4,-2,-5,3,-1]=>[-1,3,-5,-2,4]=>[5,1,3,4,2]=>[3,1,1]
[4,-2,-5,-3,1]=>[1,-3,-5,-2,4]=>[1,4,3,5,2]=>[3,1,1]
[4,-2,-5,-3,-1]=>[-1,-3,-5,-2,4]=>[5,3,2,4,1]=>[2,1,1,1]
[-4,2,5,3,1]=>[1,3,5,2,-4]=>[1,3,4,2,5]=>[4,1]
[-4,2,5,3,-1]=>[-1,3,5,2,-4]=>[5,2,3,1,4]=>[3,1,1]
[-4,2,5,-3,1]=>[1,-3,5,2,-4]=>[1,5,3,2,4]=>[3,1,1]
[-4,2,5,-3,-1]=>[-1,-3,5,2,-4]=>[5,4,2,1,3]=>[2,1,1,1]
[-4,2,-5,3,1]=>[1,3,-5,2,-4]=>[1,3,4,2,5]=>[4,1]
[-4,2,-5,3,-1]=>[-1,3,-5,2,-4]=>[5,2,3,1,4]=>[3,1,1]
[-4,2,-5,-3,1]=>[1,-3,-5,2,-4]=>[1,5,3,2,4]=>[3,1,1]
[-4,2,-5,-3,-1]=>[-1,-3,-5,2,-4]=>[5,4,2,1,3]=>[2,1,1,1]
[-4,-2,5,3,1]=>[1,3,5,-2,-4]=>[1,2,3,5,4]=>[4,1]
[-4,-2,5,3,-1]=>[-1,3,5,-2,-4]=>[5,1,2,4,3]=>[3,1,1]
[-4,-2,5,-3,1]=>[1,-3,5,-2,-4]=>[1,4,2,5,3]=>[3,2]
[-4,-2,5,-3,-1]=>[-1,-3,5,-2,-4]=>[5,3,1,4,2]=>[2,2,1]
[-4,-2,-5,3,1]=>[1,3,-5,-2,-4]=>[1,2,3,5,4]=>[4,1]
[-4,-2,-5,3,-1]=>[-1,3,-5,-2,-4]=>[5,1,2,4,3]=>[3,1,1]
[-4,-2,-5,-3,1]=>[1,-3,-5,-2,-4]=>[1,4,2,5,3]=>[3,2]
[-4,-2,-5,-3,-1]=>[-1,-3,-5,-2,-4]=>[5,3,1,4,2]=>[2,2,1]
[4,3,1,2,5]=>[5,2,1,3,4]=>[5,2,1,3,4]=>[3,1,1]
[4,3,1,2,-5]=>[-5,2,1,3,4]=>[5,2,1,3,4]=>[3,1,1]
[4,3,1,-2,5]=>[5,-2,1,3,4]=>[4,5,1,2,3]=>[3,2]
[4,3,1,-2,-5]=>[-5,-2,1,3,4]=>[4,5,1,2,3]=>[3,2]
[4,3,-1,2,5]=>[5,2,-1,3,4]=>[4,1,5,2,3]=>[3,2]
[4,3,-1,2,-5]=>[-5,2,-1,3,4]=>[4,1,5,2,3]=>[3,2]
[4,3,-1,-2,5]=>[5,-2,-1,3,4]=>[3,4,5,1,2]=>[3,2]
[4,3,-1,-2,-5]=>[-5,-2,-1,3,4]=>[3,4,5,1,2]=>[3,2]
[4,-3,1,2,5]=>[5,2,1,-3,4]=>[4,2,1,5,3]=>[2,2,1]
[4,-3,1,2,-5]=>[-5,2,1,-3,4]=>[4,2,1,5,3]=>[2,2,1]
[4,-3,1,-2,5]=>[5,-2,1,-3,4]=>[3,5,1,4,2]=>[2,2,1]
[4,-3,1,-2,-5]=>[-5,-2,1,-3,4]=>[3,5,1,4,2]=>[2,2,1]
[4,-3,-1,2,5]=>[5,2,-1,-3,4]=>[3,1,5,4,2]=>[2,2,1]
[4,-3,-1,2,-5]=>[-5,2,-1,-3,4]=>[3,1,5,4,2]=>[2,2,1]
[4,-3,-1,-2,5]=>[5,-2,-1,-3,4]=>[2,4,5,3,1]=>[3,1,1]
[4,-3,-1,-2,-5]=>[-5,-2,-1,-3,4]=>[2,4,5,3,1]=>[3,1,1]
[-4,3,1,2,5]=>[5,2,1,3,-4]=>[4,2,1,3,5]=>[3,1,1]
[-4,3,1,2,-5]=>[-5,2,1,3,-4]=>[4,2,1,3,5]=>[3,1,1]
[-4,3,1,-2,5]=>[5,-2,1,3,-4]=>[3,5,1,2,4]=>[3,2]
[-4,3,1,-2,-5]=>[-5,-2,1,3,-4]=>[3,5,1,2,4]=>[3,2]
[-4,3,-1,2,5]=>[5,2,-1,3,-4]=>[3,1,5,2,4]=>[3,2]
[-4,3,-1,2,-5]=>[-5,2,-1,3,-4]=>[3,1,5,2,4]=>[3,2]
[-4,3,-1,-2,5]=>[5,-2,-1,3,-4]=>[2,4,5,1,3]=>[3,2]
[-4,3,-1,-2,-5]=>[-5,-2,-1,3,-4]=>[2,4,5,1,3]=>[3,2]
[-4,-3,1,2,5]=>[5,2,1,-3,-4]=>[3,2,1,5,4]=>[2,2,1]
[-4,-3,1,2,-5]=>[-5,2,1,-3,-4]=>[3,2,1,5,4]=>[2,2,1]
[-4,-3,1,-2,5]=>[5,-2,1,-3,-4]=>[2,5,1,4,3]=>[2,2,1]
[-4,-3,1,-2,-5]=>[-5,-2,1,-3,-4]=>[2,5,1,4,3]=>[2,2,1]
[-4,-3,-1,2,5]=>[5,2,-1,-3,-4]=>[2,1,5,4,3]=>[2,2,1]
[-4,-3,-1,2,-5]=>[-5,2,-1,-3,-4]=>[2,1,5,4,3]=>[2,2,1]
[-4,-3,-1,-2,5]=>[5,-2,-1,-3,-4]=>[1,4,5,3,2]=>[3,1,1]
[-4,-3,-1,-2,-5]=>[-5,-2,-1,-3,-4]=>[1,4,5,3,2]=>[3,1,1]
[4,3,1,5,2]=>[2,5,1,3,4]=>[2,5,1,3,4]=>[3,2]
[4,3,1,5,-2]=>[-2,5,1,3,4]=>[5,4,1,2,3]=>[3,1,1]
[4,3,1,-5,2]=>[2,-5,1,3,4]=>[2,5,1,3,4]=>[3,2]
[4,3,1,-5,-2]=>[-2,-5,1,3,4]=>[5,4,1,2,3]=>[3,1,1]
[4,3,-1,5,2]=>[2,5,-1,3,4]=>[1,4,5,2,3]=>[3,2]
[4,3,-1,5,-2]=>[-2,5,-1,3,4]=>[4,3,5,1,2]=>[2,2,1]
[4,3,-1,-5,2]=>[2,-5,-1,3,4]=>[1,4,5,2,3]=>[3,2]
[4,3,-1,-5,-2]=>[-2,-5,-1,3,4]=>[4,3,5,1,2]=>[2,2,1]
[4,-3,1,5,2]=>[2,5,1,-3,4]=>[2,4,1,5,3]=>[3,2]
[4,-3,1,5,-2]=>[-2,5,1,-3,4]=>[5,3,1,4,2]=>[2,2,1]
[4,-3,1,-5,2]=>[2,-5,1,-3,4]=>[2,4,1,5,3]=>[3,2]
[4,-3,1,-5,-2]=>[-2,-5,1,-3,4]=>[5,3,1,4,2]=>[2,2,1]
[4,-3,-1,5,2]=>[2,5,-1,-3,4]=>[1,3,5,4,2]=>[3,1,1]
[4,-3,-1,5,-2]=>[-2,5,-1,-3,4]=>[4,2,5,3,1]=>[2,2,1]
[4,-3,-1,-5,2]=>[2,-5,-1,-3,4]=>[1,3,5,4,2]=>[3,1,1]
[4,-3,-1,-5,-2]=>[-2,-5,-1,-3,4]=>[4,2,5,3,1]=>[2,2,1]
[-4,3,1,5,2]=>[2,5,1,3,-4]=>[2,4,1,3,5]=>[3,2]
[-4,3,1,5,-2]=>[-2,5,1,3,-4]=>[5,3,1,2,4]=>[3,1,1]
[-4,3,1,-5,2]=>[2,-5,1,3,-4]=>[2,4,1,3,5]=>[3,2]
[-4,3,1,-5,-2]=>[-2,-5,1,3,-4]=>[5,3,1,2,4]=>[3,1,1]
[-4,3,-1,5,2]=>[2,5,-1,3,-4]=>[1,3,5,2,4]=>[3,2]
[-4,3,-1,5,-2]=>[-2,5,-1,3,-4]=>[4,2,5,1,3]=>[2,2,1]
[-4,3,-1,-5,2]=>[2,-5,-1,3,-4]=>[1,3,5,2,4]=>[3,2]
[-4,3,-1,-5,-2]=>[-2,-5,-1,3,-4]=>[4,2,5,1,3]=>[2,2,1]
[-4,-3,1,5,2]=>[2,5,1,-3,-4]=>[2,3,1,5,4]=>[3,2]
[-4,-3,1,5,-2]=>[-2,5,1,-3,-4]=>[5,2,1,4,3]=>[2,2,1]
[-4,-3,1,-5,2]=>[2,-5,1,-3,-4]=>[2,3,1,5,4]=>[3,2]
[-4,-3,1,-5,-2]=>[-2,-5,1,-3,-4]=>[5,2,1,4,3]=>[2,2,1]
[-4,-3,-1,5,2]=>[2,5,-1,-3,-4]=>[1,2,5,4,3]=>[3,1,1]
[-4,-3,-1,5,-2]=>[-2,5,-1,-3,-4]=>[4,1,5,3,2]=>[2,2,1]
[-4,-3,-1,-5,2]=>[2,-5,-1,-3,-4]=>[1,2,5,4,3]=>[3,1,1]
[-4,-3,-1,-5,-2]=>[-2,-5,-1,-3,-4]=>[4,1,5,3,2]=>[2,2,1]
[4,3,2,1,5]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[4,1]
[4,3,2,1,-5]=>[-5,1,2,3,4]=>[5,1,2,3,4]=>[4,1]
[4,3,2,-1,5]=>[5,-1,2,3,4]=>[4,5,1,2,3]=>[3,2]
[4,3,2,-1,-5]=>[-5,-1,2,3,4]=>[4,5,1,2,3]=>[3,2]
[4,3,-2,1,5]=>[5,1,-2,3,4]=>[4,1,5,2,3]=>[3,2]
[4,3,-2,1,-5]=>[-5,1,-2,3,4]=>[4,1,5,2,3]=>[3,2]
[4,3,-2,-1,5]=>[5,-1,-2,3,4]=>[3,5,4,1,2]=>[2,2,1]
[4,3,-2,-1,-5]=>[-5,-1,-2,3,4]=>[3,5,4,1,2]=>[2,2,1]
[4,-3,2,1,5]=>[5,1,2,-3,4]=>[4,1,2,5,3]=>[3,2]
[4,-3,2,1,-5]=>[-5,1,2,-3,4]=>[4,1,2,5,3]=>[3,2]
[4,-3,2,-1,5]=>[5,-1,2,-3,4]=>[3,5,1,4,2]=>[2,2,1]
[4,-3,2,-1,-5]=>[-5,-1,2,-3,4]=>[3,5,1,4,2]=>[2,2,1]
[4,-3,-2,1,5]=>[5,1,-2,-3,4]=>[3,1,5,4,2]=>[2,2,1]
[4,-3,-2,1,-5]=>[-5,1,-2,-3,4]=>[3,1,5,4,2]=>[2,2,1]
[4,-3,-2,-1,5]=>[5,-1,-2,-3,4]=>[2,5,4,3,1]=>[2,1,1,1]
[4,-3,-2,-1,-5]=>[-5,-1,-2,-3,4]=>[2,5,4,3,1]=>[2,1,1,1]
[-4,3,2,1,5]=>[5,1,2,3,-4]=>[4,1,2,3,5]=>[4,1]
[-4,3,2,1,-5]=>[-5,1,2,3,-4]=>[4,1,2,3,5]=>[4,1]
[-4,3,2,-1,5]=>[5,-1,2,3,-4]=>[3,5,1,2,4]=>[3,2]
[-4,3,2,-1,-5]=>[-5,-1,2,3,-4]=>[3,5,1,2,4]=>[3,2]
[-4,3,-2,1,5]=>[5,1,-2,3,-4]=>[3,1,5,2,4]=>[3,2]
[-4,3,-2,1,-5]=>[-5,1,-2,3,-4]=>[3,1,5,2,4]=>[3,2]
[-4,3,-2,-1,5]=>[5,-1,-2,3,-4]=>[2,5,4,1,3]=>[2,2,1]
[-4,3,-2,-1,-5]=>[-5,-1,-2,3,-4]=>[2,5,4,1,3]=>[2,2,1]
[-4,-3,2,1,5]=>[5,1,2,-3,-4]=>[3,1,2,5,4]=>[3,2]
[-4,-3,2,1,-5]=>[-5,1,2,-3,-4]=>[3,1,2,5,4]=>[3,2]
[-4,-3,2,-1,5]=>[5,-1,2,-3,-4]=>[2,5,1,4,3]=>[2,2,1]
[-4,-3,2,-1,-5]=>[-5,-1,2,-3,-4]=>[2,5,1,4,3]=>[2,2,1]
[-4,-3,-2,1,5]=>[5,1,-2,-3,-4]=>[2,1,5,4,3]=>[2,2,1]
[-4,-3,-2,1,-5]=>[-5,1,-2,-3,-4]=>[2,1,5,4,3]=>[2,2,1]
[-4,-3,-2,-1,5]=>[5,-1,-2,-3,-4]=>[1,5,4,3,2]=>[2,1,1,1]
[-4,-3,-2,-1,-5]=>[-5,-1,-2,-3,-4]=>[1,5,4,3,2]=>[2,1,1,1]
[4,3,2,5,1]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[4,3,2,5,-1]=>[-1,5,2,3,4]=>[5,4,1,2,3]=>[3,1,1]
[4,3,2,-5,1]=>[1,-5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[4,3,2,-5,-1]=>[-1,-5,2,3,4]=>[5,4,1,2,3]=>[3,1,1]
[4,3,-2,5,1]=>[1,5,-2,3,4]=>[1,4,5,2,3]=>[3,2]
[4,3,-2,5,-1]=>[-1,5,-2,3,4]=>[5,3,4,1,2]=>[2,2,1]
[4,3,-2,-5,1]=>[1,-5,-2,3,4]=>[1,4,5,2,3]=>[3,2]
[4,3,-2,-5,-1]=>[-1,-5,-2,3,4]=>[5,3,4,1,2]=>[2,2,1]
[4,-3,2,5,1]=>[1,5,2,-3,4]=>[1,4,2,5,3]=>[3,2]
[4,-3,2,5,-1]=>[-1,5,2,-3,4]=>[5,3,1,4,2]=>[2,2,1]
[4,-3,2,-5,1]=>[1,-5,2,-3,4]=>[1,4,2,5,3]=>[3,2]
[4,-3,2,-5,-1]=>[-1,-5,2,-3,4]=>[5,3,1,4,2]=>[2,2,1]
[4,-3,-2,5,1]=>[1,5,-2,-3,4]=>[1,3,5,4,2]=>[3,1,1]
[4,-3,-2,5,-1]=>[-1,5,-2,-3,4]=>[5,2,4,3,1]=>[2,1,1,1]
[4,-3,-2,-5,1]=>[1,-5,-2,-3,4]=>[1,3,5,4,2]=>[3,1,1]
[4,-3,-2,-5,-1]=>[-1,-5,-2,-3,4]=>[5,2,4,3,1]=>[2,1,1,1]
[-4,3,2,5,1]=>[1,5,2,3,-4]=>[1,4,2,3,5]=>[4,1]
[-4,3,2,5,-1]=>[-1,5,2,3,-4]=>[5,3,1,2,4]=>[3,1,1]
[-4,3,2,-5,1]=>[1,-5,2,3,-4]=>[1,4,2,3,5]=>[4,1]
[-4,3,2,-5,-1]=>[-1,-5,2,3,-4]=>[5,3,1,2,4]=>[3,1,1]
[-4,3,-2,5,1]=>[1,5,-2,3,-4]=>[1,3,5,2,4]=>[3,2]
[-4,3,-2,5,-1]=>[-1,5,-2,3,-4]=>[5,2,4,1,3]=>[2,2,1]
[-4,3,-2,-5,1]=>[1,-5,-2,3,-4]=>[1,3,5,2,4]=>[3,2]
[-4,3,-2,-5,-1]=>[-1,-5,-2,3,-4]=>[5,2,4,1,3]=>[2,2,1]
[-4,-3,2,5,1]=>[1,5,2,-3,-4]=>[1,3,2,5,4]=>[3,2]
[-4,-3,2,5,-1]=>[-1,5,2,-3,-4]=>[5,2,1,4,3]=>[2,2,1]
[-4,-3,2,-5,1]=>[1,-5,2,-3,-4]=>[1,3,2,5,4]=>[3,2]
[-4,-3,2,-5,-1]=>[-1,-5,2,-3,-4]=>[5,2,1,4,3]=>[2,2,1]
[-4,-3,-2,5,1]=>[1,5,-2,-3,-4]=>[1,2,5,4,3]=>[3,1,1]
[-4,-3,-2,5,-1]=>[-1,5,-2,-3,-4]=>[5,1,4,3,2]=>[2,1,1,1]
[-4,-3,-2,-5,1]=>[1,-5,-2,-3,-4]=>[1,2,5,4,3]=>[3,1,1]
[-4,-3,-2,-5,-1]=>[-1,-5,-2,-3,-4]=>[5,1,4,3,2]=>[2,1,1,1]
[4,3,5,1,2]=>[2,1,5,3,4]=>[2,1,5,3,4]=>[3,2]
[4,3,5,1,-2]=>[-2,1,5,3,4]=>[5,1,4,2,3]=>[3,1,1]
[4,3,5,-1,2]=>[2,-1,5,3,4]=>[1,5,4,2,3]=>[3,1,1]
[4,3,5,-1,-2]=>[-2,-1,5,3,4]=>[4,5,3,1,2]=>[2,2,1]
[4,3,-5,1,2]=>[2,1,-5,3,4]=>[2,1,5,3,4]=>[3,2]
[4,3,-5,1,-2]=>[-2,1,-5,3,4]=>[5,1,4,2,3]=>[3,1,1]
[4,3,-5,-1,2]=>[2,-1,-5,3,4]=>[1,5,4,2,3]=>[3,1,1]
[4,3,-5,-1,-2]=>[-2,-1,-5,3,4]=>[4,5,3,1,2]=>[2,2,1]
[4,-3,5,1,2]=>[2,1,5,-3,4]=>[2,1,4,5,3]=>[3,2]
[4,-3,5,1,-2]=>[-2,1,5,-3,4]=>[5,1,3,4,2]=>[3,1,1]
[4,-3,5,-1,2]=>[2,-1,5,-3,4]=>[1,5,3,4,2]=>[3,1,1]
[4,-3,5,-1,-2]=>[-2,-1,5,-3,4]=>[4,5,2,3,1]=>[2,2,1]
[4,-3,-5,1,2]=>[2,1,-5,-3,4]=>[2,1,4,5,3]=>[3,2]
[4,-3,-5,1,-2]=>[-2,1,-5,-3,4]=>[5,1,3,4,2]=>[3,1,1]
[4,-3,-5,-1,2]=>[2,-1,-5,-3,4]=>[1,5,3,4,2]=>[3,1,1]
[4,-3,-5,-1,-2]=>[-2,-1,-5,-3,4]=>[4,5,2,3,1]=>[2,2,1]
[-4,3,5,1,2]=>[2,1,5,3,-4]=>[2,1,4,3,5]=>[3,2]
[-4,3,5,1,-2]=>[-2,1,5,3,-4]=>[5,1,3,2,4]=>[3,1,1]
[-4,3,5,-1,2]=>[2,-1,5,3,-4]=>[1,5,3,2,4]=>[3,1,1]
[-4,3,5,-1,-2]=>[-2,-1,5,3,-4]=>[4,5,2,1,3]=>[2,2,1]
[-4,3,-5,1,2]=>[2,1,-5,3,-4]=>[2,1,4,3,5]=>[3,2]
[-4,3,-5,1,-2]=>[-2,1,-5,3,-4]=>[5,1,3,2,4]=>[3,1,1]
[-4,3,-5,-1,2]=>[2,-1,-5,3,-4]=>[1,5,3,2,4]=>[3,1,1]
[-4,3,-5,-1,-2]=>[-2,-1,-5,3,-4]=>[4,5,2,1,3]=>[2,2,1]
[-4,-3,5,1,2]=>[2,1,5,-3,-4]=>[2,1,3,5,4]=>[3,2]
[-4,-3,5,1,-2]=>[-2,1,5,-3,-4]=>[5,1,2,4,3]=>[3,1,1]
[-4,-3,5,-1,2]=>[2,-1,5,-3,-4]=>[1,5,2,4,3]=>[3,1,1]
[-4,-3,5,-1,-2]=>[-2,-1,5,-3,-4]=>[4,5,1,3,2]=>[2,2,1]
[-4,-3,-5,1,2]=>[2,1,-5,-3,-4]=>[2,1,3,5,4]=>[3,2]
[-4,-3,-5,1,-2]=>[-2,1,-5,-3,-4]=>[5,1,2,4,3]=>[3,1,1]
[-4,-3,-5,-1,2]=>[2,-1,-5,-3,-4]=>[1,5,2,4,3]=>[3,1,1]
[-4,-3,-5,-1,-2]=>[-2,-1,-5,-3,-4]=>[4,5,1,3,2]=>[2,2,1]
[4,3,5,2,1]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[4,1]
[4,3,5,2,-1]=>[-1,2,5,3,4]=>[5,1,4,2,3]=>[3,1,1]
[4,3,5,-2,1]=>[1,-2,5,3,4]=>[1,5,4,2,3]=>[3,1,1]
[4,3,5,-2,-1]=>[-1,-2,5,3,4]=>[5,4,3,1,2]=>[2,1,1,1]
[4,3,-5,2,1]=>[1,2,-5,3,4]=>[1,2,5,3,4]=>[4,1]
[4,3,-5,2,-1]=>[-1,2,-5,3,4]=>[5,1,4,2,3]=>[3,1,1]
[4,3,-5,-2,1]=>[1,-2,-5,3,4]=>[1,5,4,2,3]=>[3,1,1]
[4,3,-5,-2,-1]=>[-1,-2,-5,3,4]=>[5,4,3,1,2]=>[2,1,1,1]
[4,-3,5,2,1]=>[1,2,5,-3,4]=>[1,2,4,5,3]=>[4,1]
[4,-3,5,2,-1]=>[-1,2,5,-3,4]=>[5,1,3,4,2]=>[3,1,1]
[4,-3,5,-2,1]=>[1,-2,5,-3,4]=>[1,5,3,4,2]=>[3,1,1]
[4,-3,5,-2,-1]=>[-1,-2,5,-3,4]=>[5,4,2,3,1]=>[2,1,1,1]
[4,-3,-5,2,1]=>[1,2,-5,-3,4]=>[1,2,4,5,3]=>[4,1]
[4,-3,-5,2,-1]=>[-1,2,-5,-3,4]=>[5,1,3,4,2]=>[3,1,1]
[4,-3,-5,-2,1]=>[1,-2,-5,-3,4]=>[1,5,3,4,2]=>[3,1,1]
[4,-3,-5,-2,-1]=>[-1,-2,-5,-3,4]=>[5,4,2,3,1]=>[2,1,1,1]
[-4,3,5,2,1]=>[1,2,5,3,-4]=>[1,2,4,3,5]=>[4,1]
[-4,3,5,2,-1]=>[-1,2,5,3,-4]=>[5,1,3,2,4]=>[3,1,1]
[-4,3,5,-2,1]=>[1,-2,5,3,-4]=>[1,5,3,2,4]=>[3,1,1]
[-4,3,5,-2,-1]=>[-1,-2,5,3,-4]=>[5,4,2,1,3]=>[2,1,1,1]
[-4,3,-5,2,1]=>[1,2,-5,3,-4]=>[1,2,4,3,5]=>[4,1]
[-4,3,-5,2,-1]=>[-1,2,-5,3,-4]=>[5,1,3,2,4]=>[3,1,1]
[-4,3,-5,-2,1]=>[1,-2,-5,3,-4]=>[1,5,3,2,4]=>[3,1,1]
[-4,3,-5,-2,-1]=>[-1,-2,-5,3,-4]=>[5,4,2,1,3]=>[2,1,1,1]
[-4,-3,5,2,1]=>[1,2,5,-3,-4]=>[1,2,3,5,4]=>[4,1]
[-4,-3,5,2,-1]=>[-1,2,5,-3,-4]=>[5,1,2,4,3]=>[3,1,1]
[-4,-3,5,-2,1]=>[1,-2,5,-3,-4]=>[1,5,2,4,3]=>[3,1,1]
[-4,-3,5,-2,-1]=>[-1,-2,5,-3,-4]=>[5,4,1,3,2]=>[2,1,1,1]
[-4,-3,-5,2,1]=>[1,2,-5,-3,-4]=>[1,2,3,5,4]=>[4,1]
[-4,-3,-5,2,-1]=>[-1,2,-5,-3,-4]=>[5,1,2,4,3]=>[3,1,1]
[-4,-3,-5,-2,1]=>[1,-2,-5,-3,-4]=>[1,5,2,4,3]=>[3,1,1]
[-4,-3,-5,-2,-1]=>[-1,-2,-5,-3,-4]=>[5,4,1,3,2]=>[2,1,1,1]
[4,5,1,2,3]=>[3,2,1,5,4]=>[3,2,1,5,4]=>[2,2,1]
[4,5,1,2,-3]=>[-3,2,1,5,4]=>[5,2,1,4,3]=>[2,2,1]
[4,5,1,-2,3]=>[3,-2,1,5,4]=>[2,5,1,4,3]=>[2,2,1]
[4,5,1,-2,-3]=>[-3,-2,1,5,4]=>[4,5,1,3,2]=>[2,2,1]
[4,5,-1,2,3]=>[3,2,-1,5,4]=>[2,1,5,4,3]=>[2,2,1]
[4,5,-1,2,-3]=>[-3,2,-1,5,4]=>[4,1,5,3,2]=>[2,2,1]
[4,5,-1,-2,3]=>[3,-2,-1,5,4]=>[1,4,5,3,2]=>[3,1,1]
[4,5,-1,-2,-3]=>[-3,-2,-1,5,4]=>[3,4,5,2,1]=>[3,1,1]
[4,-5,1,2,3]=>[3,2,1,-5,4]=>[3,2,1,5,4]=>[2,2,1]
[4,-5,1,2,-3]=>[-3,2,1,-5,4]=>[5,2,1,4,3]=>[2,2,1]
[4,-5,1,-2,3]=>[3,-2,1,-5,4]=>[2,5,1,4,3]=>[2,2,1]
[4,-5,1,-2,-3]=>[-3,-2,1,-5,4]=>[4,5,1,3,2]=>[2,2,1]
[4,-5,-1,2,3]=>[3,2,-1,-5,4]=>[2,1,5,4,3]=>[2,2,1]
[4,-5,-1,2,-3]=>[-3,2,-1,-5,4]=>[4,1,5,3,2]=>[2,2,1]
[4,-5,-1,-2,3]=>[3,-2,-1,-5,4]=>[1,4,5,3,2]=>[3,1,1]
[4,-5,-1,-2,-3]=>[-3,-2,-1,-5,4]=>[3,4,5,2,1]=>[3,1,1]
[-4,5,1,2,3]=>[3,2,1,5,-4]=>[3,2,1,4,5]=>[3,1,1]
[-4,5,1,2,-3]=>[-3,2,1,5,-4]=>[5,2,1,3,4]=>[3,1,1]
[-4,5,1,-2,3]=>[3,-2,1,5,-4]=>[2,5,1,3,4]=>[3,2]
[-4,5,1,-2,-3]=>[-3,-2,1,5,-4]=>[4,5,1,2,3]=>[3,2]
[-4,5,-1,2,3]=>[3,2,-1,5,-4]=>[2,1,5,3,4]=>[3,2]
[-4,5,-1,2,-3]=>[-3,2,-1,5,-4]=>[4,1,5,2,3]=>[3,2]
[-4,5,-1,-2,3]=>[3,-2,-1,5,-4]=>[1,4,5,2,3]=>[3,2]
[-4,5,-1,-2,-3]=>[-3,-2,-1,5,-4]=>[3,4,5,1,2]=>[3,2]
[-4,-5,1,2,3]=>[3,2,1,-5,-4]=>[3,2,1,4,5]=>[3,1,1]
[-4,-5,1,2,-3]=>[-3,2,1,-5,-4]=>[5,2,1,3,4]=>[3,1,1]
[-4,-5,1,-2,3]=>[3,-2,1,-5,-4]=>[2,5,1,3,4]=>[3,2]
[-4,-5,1,-2,-3]=>[-3,-2,1,-5,-4]=>[4,5,1,2,3]=>[3,2]
[-4,-5,-1,2,3]=>[3,2,-1,-5,-4]=>[2,1,5,3,4]=>[3,2]
[-4,-5,-1,2,-3]=>[-3,2,-1,-5,-4]=>[4,1,5,2,3]=>[3,2]
[-4,-5,-1,-2,3]=>[3,-2,-1,-5,-4]=>[1,4,5,2,3]=>[3,2]
[-4,-5,-1,-2,-3]=>[-3,-2,-1,-5,-4]=>[3,4,5,1,2]=>[3,2]
[4,5,1,3,2]=>[2,3,1,5,4]=>[2,3,1,5,4]=>[3,2]
[4,5,1,3,-2]=>[-2,3,1,5,4]=>[5,2,1,4,3]=>[2,2,1]
[4,5,1,-3,2]=>[2,-3,1,5,4]=>[2,5,1,4,3]=>[2,2,1]
[4,5,1,-3,-2]=>[-2,-3,1,5,4]=>[5,4,1,3,2]=>[2,1,1,1]
[4,5,-1,3,2]=>[2,3,-1,5,4]=>[1,2,5,4,3]=>[3,1,1]
[4,5,-1,3,-2]=>[-2,3,-1,5,4]=>[4,1,5,3,2]=>[2,2,1]
[4,5,-1,-3,2]=>[2,-3,-1,5,4]=>[1,4,5,3,2]=>[3,1,1]
[4,5,-1,-3,-2]=>[-2,-3,-1,5,4]=>[4,3,5,2,1]=>[2,1,1,1]
[4,-5,1,3,2]=>[2,3,1,-5,4]=>[2,3,1,5,4]=>[3,2]
[4,-5,1,3,-2]=>[-2,3,1,-5,4]=>[5,2,1,4,3]=>[2,2,1]
[4,-5,1,-3,2]=>[2,-3,1,-5,4]=>[2,5,1,4,3]=>[2,2,1]
[4,-5,1,-3,-2]=>[-2,-3,1,-5,4]=>[5,4,1,3,2]=>[2,1,1,1]
[4,-5,-1,3,2]=>[2,3,-1,-5,4]=>[1,2,5,4,3]=>[3,1,1]
[4,-5,-1,3,-2]=>[-2,3,-1,-5,4]=>[4,1,5,3,2]=>[2,2,1]
[4,-5,-1,-3,2]=>[2,-3,-1,-5,4]=>[1,4,5,3,2]=>[3,1,1]
[4,-5,-1,-3,-2]=>[-2,-3,-1,-5,4]=>[4,3,5,2,1]=>[2,1,1,1]
[-4,5,1,3,2]=>[2,3,1,5,-4]=>[2,3,1,4,5]=>[4,1]
[-4,5,1,3,-2]=>[-2,3,1,5,-4]=>[5,2,1,3,4]=>[3,1,1]
[-4,5,1,-3,2]=>[2,-3,1,5,-4]=>[2,5,1,3,4]=>[3,2]
[-4,5,1,-3,-2]=>[-2,-3,1,5,-4]=>[5,4,1,2,3]=>[3,1,1]
[-4,5,-1,3,2]=>[2,3,-1,5,-4]=>[1,2,5,3,4]=>[4,1]
[-4,5,-1,3,-2]=>[-2,3,-1,5,-4]=>[4,1,5,2,3]=>[3,2]
[-4,5,-1,-3,2]=>[2,-3,-1,5,-4]=>[1,4,5,2,3]=>[3,2]
[-4,5,-1,-3,-2]=>[-2,-3,-1,5,-4]=>[4,3,5,1,2]=>[2,2,1]
[-4,-5,1,3,2]=>[2,3,1,-5,-4]=>[2,3,1,4,5]=>[4,1]
[-4,-5,1,3,-2]=>[-2,3,1,-5,-4]=>[5,2,1,3,4]=>[3,1,1]
[-4,-5,1,-3,2]=>[2,-3,1,-5,-4]=>[2,5,1,3,4]=>[3,2]
[-4,-5,1,-3,-2]=>[-2,-3,1,-5,-4]=>[5,4,1,2,3]=>[3,1,1]
[-4,-5,-1,3,2]=>[2,3,-1,-5,-4]=>[1,2,5,3,4]=>[4,1]
[-4,-5,-1,3,-2]=>[-2,3,-1,-5,-4]=>[4,1,5,2,3]=>[3,2]
[-4,-5,-1,-3,2]=>[2,-3,-1,-5,-4]=>[1,4,5,2,3]=>[3,2]
[-4,-5,-1,-3,-2]=>[-2,-3,-1,-5,-4]=>[4,3,5,1,2]=>[2,2,1]
[4,5,2,1,3]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[3,2]
[4,5,2,1,-3]=>[-3,1,2,5,4]=>[5,1,2,4,3]=>[3,1,1]
[4,5,2,-1,3]=>[3,-1,2,5,4]=>[2,5,1,4,3]=>[2,2,1]
[4,5,2,-1,-3]=>[-3,-1,2,5,4]=>[4,5,1,3,2]=>[2,2,1]
[4,5,-2,1,3]=>[3,1,-2,5,4]=>[2,1,5,4,3]=>[2,2,1]
[4,5,-2,1,-3]=>[-3,1,-2,5,4]=>[4,1,5,3,2]=>[2,2,1]
[4,5,-2,-1,3]=>[3,-1,-2,5,4]=>[1,5,4,3,2]=>[2,1,1,1]
[4,5,-2,-1,-3]=>[-3,-1,-2,5,4]=>[3,5,4,2,1]=>[2,1,1,1]
[4,-5,2,1,3]=>[3,1,2,-5,4]=>[3,1,2,5,4]=>[3,2]
[4,-5,2,1,-3]=>[-3,1,2,-5,4]=>[5,1,2,4,3]=>[3,1,1]
[4,-5,2,-1,3]=>[3,-1,2,-5,4]=>[2,5,1,4,3]=>[2,2,1]
[4,-5,2,-1,-3]=>[-3,-1,2,-5,4]=>[4,5,1,3,2]=>[2,2,1]
[4,-5,-2,1,3]=>[3,1,-2,-5,4]=>[2,1,5,4,3]=>[2,2,1]
[4,-5,-2,1,-3]=>[-3,1,-2,-5,4]=>[4,1,5,3,2]=>[2,2,1]
[4,-5,-2,-1,3]=>[3,-1,-2,-5,4]=>[1,5,4,3,2]=>[2,1,1,1]
[4,-5,-2,-1,-3]=>[-3,-1,-2,-5,4]=>[3,5,4,2,1]=>[2,1,1,1]
[-4,5,2,1,3]=>[3,1,2,5,-4]=>[3,1,2,4,5]=>[4,1]
[-4,5,2,1,-3]=>[-3,1,2,5,-4]=>[5,1,2,3,4]=>[4,1]
[-4,5,2,-1,3]=>[3,-1,2,5,-4]=>[2,5,1,3,4]=>[3,2]
[-4,5,2,-1,-3]=>[-3,-1,2,5,-4]=>[4,5,1,2,3]=>[3,2]
[-4,5,-2,1,3]=>[3,1,-2,5,-4]=>[2,1,5,3,4]=>[3,2]
[-4,5,-2,1,-3]=>[-3,1,-2,5,-4]=>[4,1,5,2,3]=>[3,2]
[-4,5,-2,-1,3]=>[3,-1,-2,5,-4]=>[1,5,4,2,3]=>[3,1,1]
[-4,5,-2,-1,-3]=>[-3,-1,-2,5,-4]=>[3,5,4,1,2]=>[2,2,1]
[-4,-5,2,1,3]=>[3,1,2,-5,-4]=>[3,1,2,4,5]=>[4,1]
[-4,-5,2,1,-3]=>[-3,1,2,-5,-4]=>[5,1,2,3,4]=>[4,1]
[-4,-5,2,-1,3]=>[3,-1,2,-5,-4]=>[2,5,1,3,4]=>[3,2]
[-4,-5,2,-1,-3]=>[-3,-1,2,-5,-4]=>[4,5,1,2,3]=>[3,2]
[-4,-5,-2,1,3]=>[3,1,-2,-5,-4]=>[2,1,5,3,4]=>[3,2]
[-4,-5,-2,1,-3]=>[-3,1,-2,-5,-4]=>[4,1,5,2,3]=>[3,2]
[-4,-5,-2,-1,3]=>[3,-1,-2,-5,-4]=>[1,5,4,2,3]=>[3,1,1]
[-4,-5,-2,-1,-3]=>[-3,-1,-2,-5,-4]=>[3,5,4,1,2]=>[2,2,1]
[4,5,2,3,1]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[3,2]
[4,5,2,3,-1]=>[-1,3,2,5,4]=>[5,2,1,4,3]=>[2,2,1]
[4,5,2,-3,1]=>[1,-3,2,5,4]=>[1,5,2,4,3]=>[3,1,1]
[4,5,2,-3,-1]=>[-1,-3,2,5,4]=>[5,4,1,3,2]=>[2,1,1,1]
[4,5,-2,3,1]=>[1,3,-2,5,4]=>[1,2,5,4,3]=>[3,1,1]
[4,5,-2,3,-1]=>[-1,3,-2,5,4]=>[5,1,4,3,2]=>[2,1,1,1]
[4,5,-2,-3,1]=>[1,-3,-2,5,4]=>[1,4,5,3,2]=>[3,1,1]
[4,5,-2,-3,-1]=>[-1,-3,-2,5,4]=>[5,3,4,2,1]=>[2,1,1,1]
[4,-5,2,3,1]=>[1,3,2,-5,4]=>[1,3,2,5,4]=>[3,2]
[4,-5,2,3,-1]=>[-1,3,2,-5,4]=>[5,2,1,4,3]=>[2,2,1]
[4,-5,2,-3,1]=>[1,-3,2,-5,4]=>[1,5,2,4,3]=>[3,1,1]
[4,-5,2,-3,-1]=>[-1,-3,2,-5,4]=>[5,4,1,3,2]=>[2,1,1,1]
[4,-5,-2,3,1]=>[1,3,-2,-5,4]=>[1,2,5,4,3]=>[3,1,1]
[4,-5,-2,3,-1]=>[-1,3,-2,-5,4]=>[5,1,4,3,2]=>[2,1,1,1]
[4,-5,-2,-3,1]=>[1,-3,-2,-5,4]=>[1,4,5,3,2]=>[3,1,1]
[4,-5,-2,-3,-1]=>[-1,-3,-2,-5,4]=>[5,3,4,2,1]=>[2,1,1,1]
[-4,5,2,3,1]=>[1,3,2,5,-4]=>[1,3,2,4,5]=>[4,1]
[-4,5,2,3,-1]=>[-1,3,2,5,-4]=>[5,2,1,3,4]=>[3,1,1]
[-4,5,2,-3,1]=>[1,-3,2,5,-4]=>[1,5,2,3,4]=>[4,1]
[-4,5,2,-3,-1]=>[-1,-3,2,5,-4]=>[5,4,1,2,3]=>[3,1,1]
[-4,5,-2,3,1]=>[1,3,-2,5,-4]=>[1,2,5,3,4]=>[4,1]
[-4,5,-2,3,-1]=>[-1,3,-2,5,-4]=>[5,1,4,2,3]=>[3,1,1]
[-4,5,-2,-3,1]=>[1,-3,-2,5,-4]=>[1,4,5,2,3]=>[3,2]
[-4,5,-2,-3,-1]=>[-1,-3,-2,5,-4]=>[5,3,4,1,2]=>[2,2,1]
[-4,-5,2,3,1]=>[1,3,2,-5,-4]=>[1,3,2,4,5]=>[4,1]
[-4,-5,2,3,-1]=>[-1,3,2,-5,-4]=>[5,2,1,3,4]=>[3,1,1]
[-4,-5,2,-3,1]=>[1,-3,2,-5,-4]=>[1,5,2,3,4]=>[4,1]
[-4,-5,2,-3,-1]=>[-1,-3,2,-5,-4]=>[5,4,1,2,3]=>[3,1,1]
[-4,-5,-2,3,1]=>[1,3,-2,-5,-4]=>[1,2,5,3,4]=>[4,1]
[-4,-5,-2,3,-1]=>[-1,3,-2,-5,-4]=>[5,1,4,2,3]=>[3,1,1]
[-4,-5,-2,-3,1]=>[1,-3,-2,-5,-4]=>[1,4,5,2,3]=>[3,2]
[-4,-5,-2,-3,-1]=>[-1,-3,-2,-5,-4]=>[5,3,4,1,2]=>[2,2,1]
[4,5,3,1,2]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[3,2]
[4,5,3,1,-2]=>[-2,1,3,5,4]=>[5,1,2,4,3]=>[3,1,1]
[4,5,3,-1,2]=>[2,-1,3,5,4]=>[1,5,2,4,3]=>[3,1,1]
[4,5,3,-1,-2]=>[-2,-1,3,5,4]=>[4,5,1,3,2]=>[2,2,1]
[4,5,-3,1,2]=>[2,1,-3,5,4]=>[2,1,5,4,3]=>[2,2,1]
[4,5,-3,1,-2]=>[-2,1,-3,5,4]=>[5,1,4,3,2]=>[2,1,1,1]
[4,5,-3,-1,2]=>[2,-1,-3,5,4]=>[1,5,4,3,2]=>[2,1,1,1]
[4,5,-3,-1,-2]=>[-2,-1,-3,5,4]=>[4,5,3,2,1]=>[2,1,1,1]
[4,-5,3,1,2]=>[2,1,3,-5,4]=>[2,1,3,5,4]=>[3,2]
[4,-5,3,1,-2]=>[-2,1,3,-5,4]=>[5,1,2,4,3]=>[3,1,1]
[4,-5,3,-1,2]=>[2,-1,3,-5,4]=>[1,5,2,4,3]=>[3,1,1]
[4,-5,3,-1,-2]=>[-2,-1,3,-5,4]=>[4,5,1,3,2]=>[2,2,1]
[4,-5,-3,1,2]=>[2,1,-3,-5,4]=>[2,1,5,4,3]=>[2,2,1]
[4,-5,-3,1,-2]=>[-2,1,-3,-5,4]=>[5,1,4,3,2]=>[2,1,1,1]
[4,-5,-3,-1,2]=>[2,-1,-3,-5,4]=>[1,5,4,3,2]=>[2,1,1,1]
[4,-5,-3,-1,-2]=>[-2,-1,-3,-5,4]=>[4,5,3,2,1]=>[2,1,1,1]
[-4,5,3,1,2]=>[2,1,3,5,-4]=>[2,1,3,4,5]=>[4,1]
[-4,5,3,1,-2]=>[-2,1,3,5,-4]=>[5,1,2,3,4]=>[4,1]
[-4,5,3,-1,2]=>[2,-1,3,5,-4]=>[1,5,2,3,4]=>[4,1]
[-4,5,3,-1,-2]=>[-2,-1,3,5,-4]=>[4,5,1,2,3]=>[3,2]
[-4,5,-3,1,2]=>[2,1,-3,5,-4]=>[2,1,5,3,4]=>[3,2]
[-4,5,-3,1,-2]=>[-2,1,-3,5,-4]=>[5,1,4,2,3]=>[3,1,1]
[-4,5,-3,-1,2]=>[2,-1,-3,5,-4]=>[1,5,4,2,3]=>[3,1,1]
[-4,5,-3,-1,-2]=>[-2,-1,-3,5,-4]=>[4,5,3,1,2]=>[2,2,1]
[-4,-5,3,1,2]=>[2,1,3,-5,-4]=>[2,1,3,4,5]=>[4,1]
[-4,-5,3,1,-2]=>[-2,1,3,-5,-4]=>[5,1,2,3,4]=>[4,1]
[-4,-5,3,-1,2]=>[2,-1,3,-5,-4]=>[1,5,2,3,4]=>[4,1]
[-4,-5,3,-1,-2]=>[-2,-1,3,-5,-4]=>[4,5,1,2,3]=>[3,2]
[-4,-5,-3,1,2]=>[2,1,-3,-5,-4]=>[2,1,5,3,4]=>[3,2]
[-4,-5,-3,1,-2]=>[-2,1,-3,-5,-4]=>[5,1,4,2,3]=>[3,1,1]
[-4,-5,-3,-1,2]=>[2,-1,-3,-5,-4]=>[1,5,4,2,3]=>[3,1,1]
[-4,-5,-3,-1,-2]=>[-2,-1,-3,-5,-4]=>[4,5,3,1,2]=>[2,2,1]
[4,5,3,2,1]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[4,1]
[4,5,3,2,-1]=>[-1,2,3,5,4]=>[5,1,2,4,3]=>[3,1,1]
[4,5,3,-2,1]=>[1,-2,3,5,4]=>[1,5,2,4,3]=>[3,1,1]
[4,5,3,-2,-1]=>[-1,-2,3,5,4]=>[5,4,1,3,2]=>[2,1,1,1]
[4,5,-3,2,1]=>[1,2,-3,5,4]=>[1,2,5,4,3]=>[3,1,1]
[4,5,-3,2,-1]=>[-1,2,-3,5,4]=>[5,1,4,3,2]=>[2,1,1,1]
[4,5,-3,-2,1]=>[1,-2,-3,5,4]=>[1,5,4,3,2]=>[2,1,1,1]
[4,5,-3,-2,-1]=>[-1,-2,-3,5,4]=>[5,4,3,2,1]=>[1,1,1,1,1]
[4,-5,3,2,1]=>[1,2,3,-5,4]=>[1,2,3,5,4]=>[4,1]
[4,-5,3,2,-1]=>[-1,2,3,-5,4]=>[5,1,2,4,3]=>[3,1,1]
[4,-5,3,-2,1]=>[1,-2,3,-5,4]=>[1,5,2,4,3]=>[3,1,1]
[4,-5,3,-2,-1]=>[-1,-2,3,-5,4]=>[5,4,1,3,2]=>[2,1,1,1]
[4,-5,-3,2,1]=>[1,2,-3,-5,4]=>[1,2,5,4,3]=>[3,1,1]
[4,-5,-3,2,-1]=>[-1,2,-3,-5,4]=>[5,1,4,3,2]=>[2,1,1,1]
[4,-5,-3,-2,1]=>[1,-2,-3,-5,4]=>[1,5,4,3,2]=>[2,1,1,1]
[4,-5,-3,-2,-1]=>[-1,-2,-3,-5,4]=>[5,4,3,2,1]=>[1,1,1,1,1]
[-4,5,3,2,1]=>[1,2,3,5,-4]=>[1,2,3,4,5]=>[5]
[-4,5,3,2,-1]=>[-1,2,3,5,-4]=>[5,1,2,3,4]=>[4,1]
[-4,5,3,-2,1]=>[1,-2,3,5,-4]=>[1,5,2,3,4]=>[4,1]
[-4,5,3,-2,-1]=>[-1,-2,3,5,-4]=>[5,4,1,2,3]=>[3,1,1]
[-4,5,-3,2,1]=>[1,2,-3,5,-4]=>[1,2,5,3,4]=>[4,1]
[-4,5,-3,2,-1]=>[-1,2,-3,5,-4]=>[5,1,4,2,3]=>[3,1,1]
[-4,5,-3,-2,1]=>[1,-2,-3,5,-4]=>[1,5,4,2,3]=>[3,1,1]
[-4,5,-3,-2,-1]=>[-1,-2,-3,5,-4]=>[5,4,3,1,2]=>[2,1,1,1]
[-4,-5,3,2,1]=>[1,2,3,-5,-4]=>[1,2,3,4,5]=>[5]
[-4,-5,3,2,-1]=>[-1,2,3,-5,-4]=>[5,1,2,3,4]=>[4,1]
[-4,-5,3,-2,1]=>[1,-2,3,-5,-4]=>[1,5,2,3,4]=>[4,1]
[-4,-5,3,-2,-1]=>[-1,-2,3,-5,-4]=>[5,4,1,2,3]=>[3,1,1]
[-4,-5,-3,2,1]=>[1,2,-3,-5,-4]=>[1,2,5,3,4]=>[4,1]
[-4,-5,-3,2,-1]=>[-1,2,-3,-5,-4]=>[5,1,4,2,3]=>[3,1,1]
[-4,-5,-3,-2,1]=>[1,-2,-3,-5,-4]=>[1,5,4,2,3]=>[3,1,1]
[-4,-5,-3,-2,-1]=>[-1,-2,-3,-5,-4]=>[5,4,3,1,2]=>[2,1,1,1]
[5,1,2,3,4]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[2,1,1,1]
[5,1,2,3,-4]=>[-4,3,2,1,5]=>[5,3,2,1,4]=>[2,1,1,1]
[5,1,2,-3,4]=>[4,-3,2,1,5]=>[3,5,2,1,4]=>[2,2,1]
[5,1,2,-3,-4]=>[-4,-3,2,1,5]=>[4,5,2,1,3]=>[2,2,1]
[5,1,-2,3,4]=>[4,3,-2,1,5]=>[3,2,5,1,4]=>[2,2,1]
[5,1,-2,3,-4]=>[-4,3,-2,1,5]=>[4,2,5,1,3]=>[2,2,1]
[5,1,-2,-3,4]=>[4,-3,-2,1,5]=>[2,4,5,1,3]=>[3,2]
[5,1,-2,-3,-4]=>[-4,-3,-2,1,5]=>[3,4,5,1,2]=>[3,2]
[5,-1,2,3,4]=>[4,3,2,-1,5]=>[3,2,1,5,4]=>[2,2,1]
[5,-1,2,3,-4]=>[-4,3,2,-1,5]=>[4,2,1,5,3]=>[2,2,1]
[5,-1,2,-3,4]=>[4,-3,2,-1,5]=>[2,4,1,5,3]=>[3,2]
[5,-1,2,-3,-4]=>[-4,-3,2,-1,5]=>[3,4,1,5,2]=>[3,2]
[5,-1,-2,3,4]=>[4,3,-2,-1,5]=>[2,1,4,5,3]=>[3,2]
[5,-1,-2,3,-4]=>[-4,3,-2,-1,5]=>[3,1,4,5,2]=>[3,2]
[5,-1,-2,-3,4]=>[4,-3,-2,-1,5]=>[1,3,4,5,2]=>[4,1]
[5,-1,-2,-3,-4]=>[-4,-3,-2,-1,5]=>[2,3,4,5,1]=>[4,1]
[-5,1,2,3,4]=>[4,3,2,1,-5]=>[4,3,2,1,5]=>[2,1,1,1]
[-5,1,2,3,-4]=>[-4,3,2,1,-5]=>[5,3,2,1,4]=>[2,1,1,1]
[-5,1,2,-3,4]=>[4,-3,2,1,-5]=>[3,5,2,1,4]=>[2,2,1]
[-5,1,2,-3,-4]=>[-4,-3,2,1,-5]=>[4,5,2,1,3]=>[2,2,1]
[-5,1,-2,3,4]=>[4,3,-2,1,-5]=>[3,2,5,1,4]=>[2,2,1]
[-5,1,-2,3,-4]=>[-4,3,-2,1,-5]=>[4,2,5,1,3]=>[2,2,1]
[-5,1,-2,-3,4]=>[4,-3,-2,1,-5]=>[2,4,5,1,3]=>[3,2]
[-5,1,-2,-3,-4]=>[-4,-3,-2,1,-5]=>[3,4,5,1,2]=>[3,2]
[-5,-1,2,3,4]=>[4,3,2,-1,-5]=>[3,2,1,5,4]=>[2,2,1]
[-5,-1,2,3,-4]=>[-4,3,2,-1,-5]=>[4,2,1,5,3]=>[2,2,1]
[-5,-1,2,-3,4]=>[4,-3,2,-1,-5]=>[2,4,1,5,3]=>[3,2]
[-5,-1,2,-3,-4]=>[-4,-3,2,-1,-5]=>[3,4,1,5,2]=>[3,2]
[-5,-1,-2,3,4]=>[4,3,-2,-1,-5]=>[2,1,4,5,3]=>[3,2]
[-5,-1,-2,3,-4]=>[-4,3,-2,-1,-5]=>[3,1,4,5,2]=>[3,2]
[-5,-1,-2,-3,4]=>[4,-3,-2,-1,-5]=>[1,3,4,5,2]=>[4,1]
[-5,-1,-2,-3,-4]=>[-4,-3,-2,-1,-5]=>[2,3,4,5,1]=>[4,1]
[5,1,2,4,3]=>[3,4,2,1,5]=>[3,4,2,1,5]=>[3,1,1]
[5,1,2,4,-3]=>[-3,4,2,1,5]=>[5,3,2,1,4]=>[2,1,1,1]
[5,1,2,-4,3]=>[3,-4,2,1,5]=>[3,5,2,1,4]=>[2,2,1]
[5,1,2,-4,-3]=>[-3,-4,2,1,5]=>[5,4,2,1,3]=>[2,1,1,1]
[5,1,-2,4,3]=>[3,4,-2,1,5]=>[2,3,5,1,4]=>[3,2]
[5,1,-2,4,-3]=>[-3,4,-2,1,5]=>[4,2,5,1,3]=>[2,2,1]
[5,1,-2,-4,3]=>[3,-4,-2,1,5]=>[2,4,5,1,3]=>[3,2]
[5,1,-2,-4,-3]=>[-3,-4,-2,1,5]=>[4,3,5,1,2]=>[2,2,1]
[5,-1,2,4,3]=>[3,4,2,-1,5]=>[2,3,1,5,4]=>[3,2]
[5,-1,2,4,-3]=>[-3,4,2,-1,5]=>[4,2,1,5,3]=>[2,2,1]
[5,-1,2,-4,3]=>[3,-4,2,-1,5]=>[2,4,1,5,3]=>[3,2]
[5,-1,2,-4,-3]=>[-3,-4,2,-1,5]=>[4,3,1,5,2]=>[2,2,1]
[5,-1,-2,4,3]=>[3,4,-2,-1,5]=>[1,2,4,5,3]=>[4,1]
[5,-1,-2,4,-3]=>[-3,4,-2,-1,5]=>[3,1,4,5,2]=>[3,2]
[5,-1,-2,-4,3]=>[3,-4,-2,-1,5]=>[1,3,4,5,2]=>[4,1]
[5,-1,-2,-4,-3]=>[-3,-4,-2,-1,5]=>[3,2,4,5,1]=>[3,1,1]
[-5,1,2,4,3]=>[3,4,2,1,-5]=>[3,4,2,1,5]=>[3,1,1]
[-5,1,2,4,-3]=>[-3,4,2,1,-5]=>[5,3,2,1,4]=>[2,1,1,1]
[-5,1,2,-4,3]=>[3,-4,2,1,-5]=>[3,5,2,1,4]=>[2,2,1]
[-5,1,2,-4,-3]=>[-3,-4,2,1,-5]=>[5,4,2,1,3]=>[2,1,1,1]
[-5,1,-2,4,3]=>[3,4,-2,1,-5]=>[2,3,5,1,4]=>[3,2]
[-5,1,-2,4,-3]=>[-3,4,-2,1,-5]=>[4,2,5,1,3]=>[2,2,1]
[-5,1,-2,-4,3]=>[3,-4,-2,1,-5]=>[2,4,5,1,3]=>[3,2]
[-5,1,-2,-4,-3]=>[-3,-4,-2,1,-5]=>[4,3,5,1,2]=>[2,2,1]
[-5,-1,2,4,3]=>[3,4,2,-1,-5]=>[2,3,1,5,4]=>[3,2]
[-5,-1,2,4,-3]=>[-3,4,2,-1,-5]=>[4,2,1,5,3]=>[2,2,1]
[-5,-1,2,-4,3]=>[3,-4,2,-1,-5]=>[2,4,1,5,3]=>[3,2]
[-5,-1,2,-4,-3]=>[-3,-4,2,-1,-5]=>[4,3,1,5,2]=>[2,2,1]
[-5,-1,-2,4,3]=>[3,4,-2,-1,-5]=>[1,2,4,5,3]=>[4,1]
[-5,-1,-2,4,-3]=>[-3,4,-2,-1,-5]=>[3,1,4,5,2]=>[3,2]
[-5,-1,-2,-4,3]=>[3,-4,-2,-1,-5]=>[1,3,4,5,2]=>[4,1]
[-5,-1,-2,-4,-3]=>[-3,-4,-2,-1,-5]=>[3,2,4,5,1]=>[3,1,1]
[5,1,3,2,4]=>[4,2,3,1,5]=>[4,2,3,1,5]=>[3,1,1]
[5,1,3,2,-4]=>[-4,2,3,1,5]=>[5,2,3,1,4]=>[3,1,1]
[5,1,3,-2,4]=>[4,-2,3,1,5]=>[3,5,2,1,4]=>[2,2,1]
[5,1,3,-2,-4]=>[-4,-2,3,1,5]=>[4,5,2,1,3]=>[2,2,1]
[5,1,-3,2,4]=>[4,2,-3,1,5]=>[3,2,5,1,4]=>[2,2,1]
[5,1,-3,2,-4]=>[-4,2,-3,1,5]=>[4,2,5,1,3]=>[2,2,1]
[5,1,-3,-2,4]=>[4,-2,-3,1,5]=>[2,5,4,1,3]=>[2,2,1]
[5,1,-3,-2,-4]=>[-4,-2,-3,1,5]=>[3,5,4,1,2]=>[2,2,1]
[5,-1,3,2,4]=>[4,2,3,-1,5]=>[3,1,2,5,4]=>[3,2]
[5,-1,3,2,-4]=>[-4,2,3,-1,5]=>[4,1,2,5,3]=>[3,2]
[5,-1,3,-2,4]=>[4,-2,3,-1,5]=>[2,4,1,5,3]=>[3,2]
[5,-1,3,-2,-4]=>[-4,-2,3,-1,5]=>[3,4,1,5,2]=>[3,2]
[5,-1,-3,2,4]=>[4,2,-3,-1,5]=>[2,1,4,5,3]=>[3,2]
[5,-1,-3,2,-4]=>[-4,2,-3,-1,5]=>[3,1,4,5,2]=>[3,2]
[5,-1,-3,-2,4]=>[4,-2,-3,-1,5]=>[1,4,3,5,2]=>[3,1,1]
[5,-1,-3,-2,-4]=>[-4,-2,-3,-1,5]=>[2,4,3,5,1]=>[3,1,1]
[-5,1,3,2,4]=>[4,2,3,1,-5]=>[4,2,3,1,5]=>[3,1,1]
[-5,1,3,2,-4]=>[-4,2,3,1,-5]=>[5,2,3,1,4]=>[3,1,1]
[-5,1,3,-2,4]=>[4,-2,3,1,-5]=>[3,5,2,1,4]=>[2,2,1]
[-5,1,3,-2,-4]=>[-4,-2,3,1,-5]=>[4,5,2,1,3]=>[2,2,1]
[-5,1,-3,2,4]=>[4,2,-3,1,-5]=>[3,2,5,1,4]=>[2,2,1]
[-5,1,-3,2,-4]=>[-4,2,-3,1,-5]=>[4,2,5,1,3]=>[2,2,1]
[-5,1,-3,-2,4]=>[4,-2,-3,1,-5]=>[2,5,4,1,3]=>[2,2,1]
[-5,1,-3,-2,-4]=>[-4,-2,-3,1,-5]=>[3,5,4,1,2]=>[2,2,1]
[-5,-1,3,2,4]=>[4,2,3,-1,-5]=>[3,1,2,5,4]=>[3,2]
[-5,-1,3,2,-4]=>[-4,2,3,-1,-5]=>[4,1,2,5,3]=>[3,2]
[-5,-1,3,-2,4]=>[4,-2,3,-1,-5]=>[2,4,1,5,3]=>[3,2]
[-5,-1,3,-2,-4]=>[-4,-2,3,-1,-5]=>[3,4,1,5,2]=>[3,2]
[-5,-1,-3,2,4]=>[4,2,-3,-1,-5]=>[2,1,4,5,3]=>[3,2]
[-5,-1,-3,2,-4]=>[-4,2,-3,-1,-5]=>[3,1,4,5,2]=>[3,2]
[-5,-1,-3,-2,4]=>[4,-2,-3,-1,-5]=>[1,4,3,5,2]=>[3,1,1]
[-5,-1,-3,-2,-4]=>[-4,-2,-3,-1,-5]=>[2,4,3,5,1]=>[3,1,1]
[5,1,3,4,2]=>[2,4,3,1,5]=>[2,4,3,1,5]=>[3,1,1]
[5,1,3,4,-2]=>[-2,4,3,1,5]=>[5,3,2,1,4]=>[2,1,1,1]
[5,1,3,-4,2]=>[2,-4,3,1,5]=>[2,5,3,1,4]=>[3,1,1]
[5,1,3,-4,-2]=>[-2,-4,3,1,5]=>[5,4,2,1,3]=>[2,1,1,1]
[5,1,-3,4,2]=>[2,4,-3,1,5]=>[2,3,5,1,4]=>[3,2]
[5,1,-3,4,-2]=>[-2,4,-3,1,5]=>[5,2,4,1,3]=>[2,2,1]
[5,1,-3,-4,2]=>[2,-4,-3,1,5]=>[2,4,5,1,3]=>[3,2]
[5,1,-3,-4,-2]=>[-2,-4,-3,1,5]=>[5,3,4,1,2]=>[2,2,1]
[5,-1,3,4,2]=>[2,4,3,-1,5]=>[1,3,2,5,4]=>[3,2]
[5,-1,3,4,-2]=>[-2,4,3,-1,5]=>[4,2,1,5,3]=>[2,2,1]
[5,-1,3,-4,2]=>[2,-4,3,-1,5]=>[1,4,2,5,3]=>[3,2]
[5,-1,3,-4,-2]=>[-2,-4,3,-1,5]=>[4,3,1,5,2]=>[2,2,1]
[5,-1,-3,4,2]=>[2,4,-3,-1,5]=>[1,2,4,5,3]=>[4,1]
[5,-1,-3,4,-2]=>[-2,4,-3,-1,5]=>[4,1,3,5,2]=>[3,1,1]
[5,-1,-3,-4,2]=>[2,-4,-3,-1,5]=>[1,3,4,5,2]=>[4,1]
[5,-1,-3,-4,-2]=>[-2,-4,-3,-1,5]=>[4,2,3,5,1]=>[3,1,1]
[-5,1,3,4,2]=>[2,4,3,1,-5]=>[2,4,3,1,5]=>[3,1,1]
[-5,1,3,4,-2]=>[-2,4,3,1,-5]=>[5,3,2,1,4]=>[2,1,1,1]
[-5,1,3,-4,2]=>[2,-4,3,1,-5]=>[2,5,3,1,4]=>[3,1,1]
[-5,1,3,-4,-2]=>[-2,-4,3,1,-5]=>[5,4,2,1,3]=>[2,1,1,1]
[-5,1,-3,4,2]=>[2,4,-3,1,-5]=>[2,3,5,1,4]=>[3,2]
[-5,1,-3,4,-2]=>[-2,4,-3,1,-5]=>[5,2,4,1,3]=>[2,2,1]
[-5,1,-3,-4,2]=>[2,-4,-3,1,-5]=>[2,4,5,1,3]=>[3,2]
[-5,1,-3,-4,-2]=>[-2,-4,-3,1,-5]=>[5,3,4,1,2]=>[2,2,1]
[-5,-1,3,4,2]=>[2,4,3,-1,-5]=>[1,3,2,5,4]=>[3,2]
[-5,-1,3,4,-2]=>[-2,4,3,-1,-5]=>[4,2,1,5,3]=>[2,2,1]
[-5,-1,3,-4,2]=>[2,-4,3,-1,-5]=>[1,4,2,5,3]=>[3,2]
[-5,-1,3,-4,-2]=>[-2,-4,3,-1,-5]=>[4,3,1,5,2]=>[2,2,1]
[-5,-1,-3,4,2]=>[2,4,-3,-1,-5]=>[1,2,4,5,3]=>[4,1]
[-5,-1,-3,4,-2]=>[-2,4,-3,-1,-5]=>[4,1,3,5,2]=>[3,1,1]
[-5,-1,-3,-4,2]=>[2,-4,-3,-1,-5]=>[1,3,4,5,2]=>[4,1]
[-5,-1,-3,-4,-2]=>[-2,-4,-3,-1,-5]=>[4,2,3,5,1]=>[3,1,1]
[5,1,4,2,3]=>[3,2,4,1,5]=>[3,2,4,1,5]=>[3,1,1]
[5,1,4,2,-3]=>[-3,2,4,1,5]=>[5,2,3,1,4]=>[3,1,1]
[5,1,4,-2,3]=>[3,-2,4,1,5]=>[2,5,3,1,4]=>[3,1,1]
[5,1,4,-2,-3]=>[-3,-2,4,1,5]=>[4,5,2,1,3]=>[2,2,1]
[5,1,-4,2,3]=>[3,2,-4,1,5]=>[3,2,5,1,4]=>[2,2,1]
[5,1,-4,2,-3]=>[-3,2,-4,1,5]=>[5,2,4,1,3]=>[2,2,1]
[5,1,-4,-2,3]=>[3,-2,-4,1,5]=>[2,5,4,1,3]=>[2,2,1]
[5,1,-4,-2,-3]=>[-3,-2,-4,1,5]=>[4,5,3,1,2]=>[2,2,1]
[5,-1,4,2,3]=>[3,2,4,-1,5]=>[2,1,3,5,4]=>[3,2]
[5,-1,4,2,-3]=>[-3,2,4,-1,5]=>[4,1,2,5,3]=>[3,2]
[5,-1,4,-2,3]=>[3,-2,4,-1,5]=>[1,4,2,5,3]=>[3,2]
[5,-1,4,-2,-3]=>[-3,-2,4,-1,5]=>[3,4,1,5,2]=>[3,2]
[5,-1,-4,2,3]=>[3,2,-4,-1,5]=>[2,1,4,5,3]=>[3,2]
[5,-1,-4,2,-3]=>[-3,2,-4,-1,5]=>[4,1,3,5,2]=>[3,1,1]
[5,-1,-4,-2,3]=>[3,-2,-4,-1,5]=>[1,4,3,5,2]=>[3,1,1]
[5,-1,-4,-2,-3]=>[-3,-2,-4,-1,5]=>[3,4,2,5,1]=>[3,1,1]
[-5,1,4,2,3]=>[3,2,4,1,-5]=>[3,2,4,1,5]=>[3,1,1]
[-5,1,4,2,-3]=>[-3,2,4,1,-5]=>[5,2,3,1,4]=>[3,1,1]
[-5,1,4,-2,3]=>[3,-2,4,1,-5]=>[2,5,3,1,4]=>[3,1,1]
[-5,1,4,-2,-3]=>[-3,-2,4,1,-5]=>[4,5,2,1,3]=>[2,2,1]
[-5,1,-4,2,3]=>[3,2,-4,1,-5]=>[3,2,5,1,4]=>[2,2,1]
[-5,1,-4,2,-3]=>[-3,2,-4,1,-5]=>[5,2,4,1,3]=>[2,2,1]
[-5,1,-4,-2,3]=>[3,-2,-4,1,-5]=>[2,5,4,1,3]=>[2,2,1]
[-5,1,-4,-2,-3]=>[-3,-2,-4,1,-5]=>[4,5,3,1,2]=>[2,2,1]
[-5,-1,4,2,3]=>[3,2,4,-1,-5]=>[2,1,3,5,4]=>[3,2]
[-5,-1,4,2,-3]=>[-3,2,4,-1,-5]=>[4,1,2,5,3]=>[3,2]
[-5,-1,4,-2,3]=>[3,-2,4,-1,-5]=>[1,4,2,5,3]=>[3,2]
[-5,-1,4,-2,-3]=>[-3,-2,4,-1,-5]=>[3,4,1,5,2]=>[3,2]
[-5,-1,-4,2,3]=>[3,2,-4,-1,-5]=>[2,1,4,5,3]=>[3,2]
[-5,-1,-4,2,-3]=>[-3,2,-4,-1,-5]=>[4,1,3,5,2]=>[3,1,1]
[-5,-1,-4,-2,3]=>[3,-2,-4,-1,-5]=>[1,4,3,5,2]=>[3,1,1]
[-5,-1,-4,-2,-3]=>[-3,-2,-4,-1,-5]=>[3,4,2,5,1]=>[3,1,1]
[5,1,4,3,2]=>[2,3,4,1,5]=>[2,3,4,1,5]=>[4,1]
[5,1,4,3,-2]=>[-2,3,4,1,5]=>[5,2,3,1,4]=>[3,1,1]
[5,1,4,-3,2]=>[2,-3,4,1,5]=>[2,5,3,1,4]=>[3,1,1]
[5,1,4,-3,-2]=>[-2,-3,4,1,5]=>[5,4,2,1,3]=>[2,1,1,1]
[5,1,-4,3,2]=>[2,3,-4,1,5]=>[2,3,5,1,4]=>[3,2]
[5,1,-4,3,-2]=>[-2,3,-4,1,5]=>[5,2,4,1,3]=>[2,2,1]
[5,1,-4,-3,2]=>[2,-3,-4,1,5]=>[2,5,4,1,3]=>[2,2,1]
[5,1,-4,-3,-2]=>[-2,-3,-4,1,5]=>[5,4,3,1,2]=>[2,1,1,1]
[5,-1,4,3,2]=>[2,3,4,-1,5]=>[1,2,3,5,4]=>[4,1]
[5,-1,4,3,-2]=>[-2,3,4,-1,5]=>[4,1,2,5,3]=>[3,2]
[5,-1,4,-3,2]=>[2,-3,4,-1,5]=>[1,4,2,5,3]=>[3,2]
[5,-1,4,-3,-2]=>[-2,-3,4,-1,5]=>[4,3,1,5,2]=>[2,2,1]
[5,-1,-4,3,2]=>[2,3,-4,-1,5]=>[1,2,4,5,3]=>[4,1]
[5,-1,-4,3,-2]=>[-2,3,-4,-1,5]=>[4,1,3,5,2]=>[3,1,1]
[5,-1,-4,-3,2]=>[2,-3,-4,-1,5]=>[1,4,3,5,2]=>[3,1,1]
[5,-1,-4,-3,-2]=>[-2,-3,-4,-1,5]=>[4,3,2,5,1]=>[2,1,1,1]
[-5,1,4,3,2]=>[2,3,4,1,-5]=>[2,3,4,1,5]=>[4,1]
[-5,1,4,3,-2]=>[-2,3,4,1,-5]=>[5,2,3,1,4]=>[3,1,1]
[-5,1,4,-3,2]=>[2,-3,4,1,-5]=>[2,5,3,1,4]=>[3,1,1]
[-5,1,4,-3,-2]=>[-2,-3,4,1,-5]=>[5,4,2,1,3]=>[2,1,1,1]
[-5,1,-4,3,2]=>[2,3,-4,1,-5]=>[2,3,5,1,4]=>[3,2]
[-5,1,-4,3,-2]=>[-2,3,-4,1,-5]=>[5,2,4,1,3]=>[2,2,1]
[-5,1,-4,-3,2]=>[2,-3,-4,1,-5]=>[2,5,4,1,3]=>[2,2,1]
[-5,1,-4,-3,-2]=>[-2,-3,-4,1,-5]=>[5,4,3,1,2]=>[2,1,1,1]
[-5,-1,4,3,2]=>[2,3,4,-1,-5]=>[1,2,3,5,4]=>[4,1]
[-5,-1,4,3,-2]=>[-2,3,4,-1,-5]=>[4,1,2,5,3]=>[3,2]
[-5,-1,4,-3,2]=>[2,-3,4,-1,-5]=>[1,4,2,5,3]=>[3,2]
[-5,-1,4,-3,-2]=>[-2,-3,4,-1,-5]=>[4,3,1,5,2]=>[2,2,1]
[-5,-1,-4,3,2]=>[2,3,-4,-1,-5]=>[1,2,4,5,3]=>[4,1]
[-5,-1,-4,3,-2]=>[-2,3,-4,-1,-5]=>[4,1,3,5,2]=>[3,1,1]
[-5,-1,-4,-3,2]=>[2,-3,-4,-1,-5]=>[1,4,3,5,2]=>[3,1,1]
[-5,-1,-4,-3,-2]=>[-2,-3,-4,-1,-5]=>[4,3,2,5,1]=>[2,1,1,1]
[5,2,1,3,4]=>[4,3,1,2,5]=>[4,3,1,2,5]=>[3,1,1]
[5,2,1,3,-4]=>[-4,3,1,2,5]=>[5,3,1,2,4]=>[3,1,1]
[5,2,1,-3,4]=>[4,-3,1,2,5]=>[3,5,1,2,4]=>[3,2]
[5,2,1,-3,-4]=>[-4,-3,1,2,5]=>[4,5,1,2,3]=>[3,2]
[5,2,-1,3,4]=>[4,3,-1,2,5]=>[3,2,5,1,4]=>[2,2,1]
[5,2,-1,3,-4]=>[-4,3,-1,2,5]=>[4,2,5,1,3]=>[2,2,1]
[5,2,-1,-3,4]=>[4,-3,-1,2,5]=>[2,4,5,1,3]=>[3,2]
[5,2,-1,-3,-4]=>[-4,-3,-1,2,5]=>[3,4,5,1,2]=>[3,2]
[5,-2,1,3,4]=>[4,3,1,-2,5]=>[3,2,1,5,4]=>[2,2,1]
[5,-2,1,3,-4]=>[-4,3,1,-2,5]=>[4,2,1,5,3]=>[2,2,1]
[5,-2,1,-3,4]=>[4,-3,1,-2,5]=>[2,4,1,5,3]=>[3,2]
[5,-2,1,-3,-4]=>[-4,-3,1,-2,5]=>[3,4,1,5,2]=>[3,2]
[5,-2,-1,3,4]=>[4,3,-1,-2,5]=>[2,1,5,4,3]=>[2,2,1]
[5,-2,-1,3,-4]=>[-4,3,-1,-2,5]=>[3,1,5,4,2]=>[2,2,1]
[5,-2,-1,-3,4]=>[4,-3,-1,-2,5]=>[1,3,5,4,2]=>[3,1,1]
[5,-2,-1,-3,-4]=>[-4,-3,-1,-2,5]=>[2,3,5,4,1]=>[3,1,1]
[-5,2,1,3,4]=>[4,3,1,2,-5]=>[4,3,1,2,5]=>[3,1,1]
[-5,2,1,3,-4]=>[-4,3,1,2,-5]=>[5,3,1,2,4]=>[3,1,1]
[-5,2,1,-3,4]=>[4,-3,1,2,-5]=>[3,5,1,2,4]=>[3,2]
[-5,2,1,-3,-4]=>[-4,-3,1,2,-5]=>[4,5,1,2,3]=>[3,2]
[-5,2,-1,3,4]=>[4,3,-1,2,-5]=>[3,2,5,1,4]=>[2,2,1]
[-5,2,-1,3,-4]=>[-4,3,-1,2,-5]=>[4,2,5,1,3]=>[2,2,1]
[-5,2,-1,-3,4]=>[4,-3,-1,2,-5]=>[2,4,5,1,3]=>[3,2]
[-5,2,-1,-3,-4]=>[-4,-3,-1,2,-5]=>[3,4,5,1,2]=>[3,2]
[-5,-2,1,3,4]=>[4,3,1,-2,-5]=>[3,2,1,5,4]=>[2,2,1]
[-5,-2,1,3,-4]=>[-4,3,1,-2,-5]=>[4,2,1,5,3]=>[2,2,1]
[-5,-2,1,-3,4]=>[4,-3,1,-2,-5]=>[2,4,1,5,3]=>[3,2]
[-5,-2,1,-3,-4]=>[-4,-3,1,-2,-5]=>[3,4,1,5,2]=>[3,2]
[-5,-2,-1,3,4]=>[4,3,-1,-2,-5]=>[2,1,5,4,3]=>[2,2,1]
[-5,-2,-1,3,-4]=>[-4,3,-1,-2,-5]=>[3,1,5,4,2]=>[2,2,1]
[-5,-2,-1,-3,4]=>[4,-3,-1,-2,-5]=>[1,3,5,4,2]=>[3,1,1]
[-5,-2,-1,-3,-4]=>[-4,-3,-1,-2,-5]=>[2,3,5,4,1]=>[3,1,1]
[5,2,1,4,3]=>[3,4,1,2,5]=>[3,4,1,2,5]=>[3,2]
[5,2,1,4,-3]=>[-3,4,1,2,5]=>[5,3,1,2,4]=>[3,1,1]
[5,2,1,-4,3]=>[3,-4,1,2,5]=>[3,5,1,2,4]=>[3,2]
[5,2,1,-4,-3]=>[-3,-4,1,2,5]=>[5,4,1,2,3]=>[3,1,1]
[5,2,-1,4,3]=>[3,4,-1,2,5]=>[2,3,5,1,4]=>[3,2]
[5,2,-1,4,-3]=>[-3,4,-1,2,5]=>[4,2,5,1,3]=>[2,2,1]
[5,2,-1,-4,3]=>[3,-4,-1,2,5]=>[2,4,5,1,3]=>[3,2]
[5,2,-1,-4,-3]=>[-3,-4,-1,2,5]=>[4,3,5,1,2]=>[2,2,1]
[5,-2,1,4,3]=>[3,4,1,-2,5]=>[2,3,1,5,4]=>[3,2]
[5,-2,1,4,-3]=>[-3,4,1,-2,5]=>[4,2,1,5,3]=>[2,2,1]
[5,-2,1,-4,3]=>[3,-4,1,-2,5]=>[2,4,1,5,3]=>[3,2]
[5,-2,1,-4,-3]=>[-3,-4,1,-2,5]=>[4,3,1,5,2]=>[2,2,1]
[5,-2,-1,4,3]=>[3,4,-1,-2,5]=>[1,2,5,4,3]=>[3,1,1]
[5,-2,-1,4,-3]=>[-3,4,-1,-2,5]=>[3,1,5,4,2]=>[2,2,1]
[5,-2,-1,-4,3]=>[3,-4,-1,-2,5]=>[1,3,5,4,2]=>[3,1,1]
[5,-2,-1,-4,-3]=>[-3,-4,-1,-2,5]=>[3,2,5,4,1]=>[2,2,1]
[-5,2,1,4,3]=>[3,4,1,2,-5]=>[3,4,1,2,5]=>[3,2]
[-5,2,1,4,-3]=>[-3,4,1,2,-5]=>[5,3,1,2,4]=>[3,1,1]
[-5,2,1,-4,3]=>[3,-4,1,2,-5]=>[3,5,1,2,4]=>[3,2]
[-5,2,1,-4,-3]=>[-3,-4,1,2,-5]=>[5,4,1,2,3]=>[3,1,1]
[-5,2,-1,4,3]=>[3,4,-1,2,-5]=>[2,3,5,1,4]=>[3,2]
[-5,2,-1,4,-3]=>[-3,4,-1,2,-5]=>[4,2,5,1,3]=>[2,2,1]
[-5,2,-1,-4,3]=>[3,-4,-1,2,-5]=>[2,4,5,1,3]=>[3,2]
[-5,2,-1,-4,-3]=>[-3,-4,-1,2,-5]=>[4,3,5,1,2]=>[2,2,1]
[-5,-2,1,4,3]=>[3,4,1,-2,-5]=>[2,3,1,5,4]=>[3,2]
[-5,-2,1,4,-3]=>[-3,4,1,-2,-5]=>[4,2,1,5,3]=>[2,2,1]
[-5,-2,1,-4,3]=>[3,-4,1,-2,-5]=>[2,4,1,5,3]=>[3,2]
[-5,-2,1,-4,-3]=>[-3,-4,1,-2,-5]=>[4,3,1,5,2]=>[2,2,1]
[-5,-2,-1,4,3]=>[3,4,-1,-2,-5]=>[1,2,5,4,3]=>[3,1,1]
[-5,-2,-1,4,-3]=>[-3,4,-1,-2,-5]=>[3,1,5,4,2]=>[2,2,1]
[-5,-2,-1,-4,3]=>[3,-4,-1,-2,-5]=>[1,3,5,4,2]=>[3,1,1]
[-5,-2,-1,-4,-3]=>[-3,-4,-1,-2,-5]=>[3,2,5,4,1]=>[2,2,1]
[5,2,3,1,4]=>[4,1,3,2,5]=>[4,1,3,2,5]=>[3,1,1]
[5,2,3,1,-4]=>[-4,1,3,2,5]=>[5,1,3,2,4]=>[3,1,1]
[5,2,3,-1,4]=>[4,-1,3,2,5]=>[3,5,2,1,4]=>[2,2,1]
[5,2,3,-1,-4]=>[-4,-1,3,2,5]=>[4,5,2,1,3]=>[2,2,1]
[5,2,-3,1,4]=>[4,1,-3,2,5]=>[3,1,5,2,4]=>[3,2]
[5,2,-3,1,-4]=>[-4,1,-3,2,5]=>[4,1,5,2,3]=>[3,2]
[5,2,-3,-1,4]=>[4,-1,-3,2,5]=>[2,5,4,1,3]=>[2,2,1]
[5,2,-3,-1,-4]=>[-4,-1,-3,2,5]=>[3,5,4,1,2]=>[2,2,1]
[5,-2,3,1,4]=>[4,1,3,-2,5]=>[3,1,2,5,4]=>[3,2]
[5,-2,3,1,-4]=>[-4,1,3,-2,5]=>[4,1,2,5,3]=>[3,2]
[5,-2,3,-1,4]=>[4,-1,3,-2,5]=>[2,5,1,4,3]=>[2,2,1]
[5,-2,3,-1,-4]=>[-4,-1,3,-2,5]=>[3,5,1,4,2]=>[2,2,1]
[5,-2,-3,1,4]=>[4,1,-3,-2,5]=>[2,1,4,5,3]=>[3,2]
[5,-2,-3,1,-4]=>[-4,1,-3,-2,5]=>[3,1,4,5,2]=>[3,2]
[5,-2,-3,-1,4]=>[4,-1,-3,-2,5]=>[1,5,3,4,2]=>[3,1,1]
[5,-2,-3,-1,-4]=>[-4,-1,-3,-2,5]=>[2,5,3,4,1]=>[3,1,1]
[-5,2,3,1,4]=>[4,1,3,2,-5]=>[4,1,3,2,5]=>[3,1,1]
[-5,2,3,1,-4]=>[-4,1,3,2,-5]=>[5,1,3,2,4]=>[3,1,1]
[-5,2,3,-1,4]=>[4,-1,3,2,-5]=>[3,5,2,1,4]=>[2,2,1]
[-5,2,3,-1,-4]=>[-4,-1,3,2,-5]=>[4,5,2,1,3]=>[2,2,1]
[-5,2,-3,1,4]=>[4,1,-3,2,-5]=>[3,1,5,2,4]=>[3,2]
[-5,2,-3,1,-4]=>[-4,1,-3,2,-5]=>[4,1,5,2,3]=>[3,2]
[-5,2,-3,-1,4]=>[4,-1,-3,2,-5]=>[2,5,4,1,3]=>[2,2,1]
[-5,2,-3,-1,-4]=>[-4,-1,-3,2,-5]=>[3,5,4,1,2]=>[2,2,1]
[-5,-2,3,1,4]=>[4,1,3,-2,-5]=>[3,1,2,5,4]=>[3,2]
[-5,-2,3,1,-4]=>[-4,1,3,-2,-5]=>[4,1,2,5,3]=>[3,2]
[-5,-2,3,-1,4]=>[4,-1,3,-2,-5]=>[2,5,1,4,3]=>[2,2,1]
[-5,-2,3,-1,-4]=>[-4,-1,3,-2,-5]=>[3,5,1,4,2]=>[2,2,1]
[-5,-2,-3,1,4]=>[4,1,-3,-2,-5]=>[2,1,4,5,3]=>[3,2]
[-5,-2,-3,1,-4]=>[-4,1,-3,-2,-5]=>[3,1,4,5,2]=>[3,2]
[-5,-2,-3,-1,4]=>[4,-1,-3,-2,-5]=>[1,5,3,4,2]=>[3,1,1]
[-5,-2,-3,-1,-4]=>[-4,-1,-3,-2,-5]=>[2,5,3,4,1]=>[3,1,1]
[5,2,3,4,1]=>[1,4,3,2,5]=>[1,4,3,2,5]=>[3,1,1]
[5,2,3,4,-1]=>[-1,4,3,2,5]=>[5,3,2,1,4]=>[2,1,1,1]
[5,2,3,-4,1]=>[1,-4,3,2,5]=>[1,5,3,2,4]=>[3,1,1]
[5,2,3,-4,-1]=>[-1,-4,3,2,5]=>[5,4,2,1,3]=>[2,1,1,1]
[5,2,-3,4,1]=>[1,4,-3,2,5]=>[1,3,5,2,4]=>[3,2]
[5,2,-3,4,-1]=>[-1,4,-3,2,5]=>[5,2,4,1,3]=>[2,2,1]
[5,2,-3,-4,1]=>[1,-4,-3,2,5]=>[1,4,5,2,3]=>[3,2]
[5,2,-3,-4,-1]=>[-1,-4,-3,2,5]=>[5,3,4,1,2]=>[2,2,1]
[5,-2,3,4,1]=>[1,4,3,-2,5]=>[1,3,2,5,4]=>[3,2]
[5,-2,3,4,-1]=>[-1,4,3,-2,5]=>[5,2,1,4,3]=>[2,2,1]
[5,-2,3,-4,1]=>[1,-4,3,-2,5]=>[1,4,2,5,3]=>[3,2]
[5,-2,3,-4,-1]=>[-1,-4,3,-2,5]=>[5,3,1,4,2]=>[2,2,1]
[5,-2,-3,4,1]=>[1,4,-3,-2,5]=>[1,2,4,5,3]=>[4,1]
[5,-2,-3,4,-1]=>[-1,4,-3,-2,5]=>[5,1,3,4,2]=>[3,1,1]
[5,-2,-3,-4,1]=>[1,-4,-3,-2,5]=>[1,3,4,5,2]=>[4,1]
[5,-2,-3,-4,-1]=>[-1,-4,-3,-2,5]=>[5,2,3,4,1]=>[3,1,1]
[-5,2,3,4,1]=>[1,4,3,2,-5]=>[1,4,3,2,5]=>[3,1,1]
[-5,2,3,4,-1]=>[-1,4,3,2,-5]=>[5,3,2,1,4]=>[2,1,1,1]
[-5,2,3,-4,1]=>[1,-4,3,2,-5]=>[1,5,3,2,4]=>[3,1,1]
[-5,2,3,-4,-1]=>[-1,-4,3,2,-5]=>[5,4,2,1,3]=>[2,1,1,1]
[-5,2,-3,4,1]=>[1,4,-3,2,-5]=>[1,3,5,2,4]=>[3,2]
[-5,2,-3,4,-1]=>[-1,4,-3,2,-5]=>[5,2,4,1,3]=>[2,2,1]
[-5,2,-3,-4,1]=>[1,-4,-3,2,-5]=>[1,4,5,2,3]=>[3,2]
[-5,2,-3,-4,-1]=>[-1,-4,-3,2,-5]=>[5,3,4,1,2]=>[2,2,1]
[-5,-2,3,4,1]=>[1,4,3,-2,-5]=>[1,3,2,5,4]=>[3,2]
[-5,-2,3,4,-1]=>[-1,4,3,-2,-5]=>[5,2,1,4,3]=>[2,2,1]
[-5,-2,3,-4,1]=>[1,-4,3,-2,-5]=>[1,4,2,5,3]=>[3,2]
[-5,-2,3,-4,-1]=>[-1,-4,3,-2,-5]=>[5,3,1,4,2]=>[2,2,1]
[-5,-2,-3,4,1]=>[1,4,-3,-2,-5]=>[1,2,4,5,3]=>[4,1]
[-5,-2,-3,4,-1]=>[-1,4,-3,-2,-5]=>[5,1,3,4,2]=>[3,1,1]
[-5,-2,-3,-4,1]=>[1,-4,-3,-2,-5]=>[1,3,4,5,2]=>[4,1]
[-5,-2,-3,-4,-1]=>[-1,-4,-3,-2,-5]=>[5,2,3,4,1]=>[3,1,1]
[5,2,4,1,3]=>[3,1,4,2,5]=>[3,1,4,2,5]=>[3,2]
[5,2,4,1,-3]=>[-3,1,4,2,5]=>[5,1,3,2,4]=>[3,1,1]
[5,2,4,-1,3]=>[3,-1,4,2,5]=>[2,5,3,1,4]=>[3,1,1]
[5,2,4,-1,-3]=>[-3,-1,4,2,5]=>[4,5,2,1,3]=>[2,2,1]
[5,2,-4,1,3]=>[3,1,-4,2,5]=>[3,1,5,2,4]=>[3,2]
[5,2,-4,1,-3]=>[-3,1,-4,2,5]=>[5,1,4,2,3]=>[3,1,1]
[5,2,-4,-1,3]=>[3,-1,-4,2,5]=>[2,5,4,1,3]=>[2,2,1]
[5,2,-4,-1,-3]=>[-3,-1,-4,2,5]=>[4,5,3,1,2]=>[2,2,1]
[5,-2,4,1,3]=>[3,1,4,-2,5]=>[2,1,3,5,4]=>[3,2]
[5,-2,4,1,-3]=>[-3,1,4,-2,5]=>[4,1,2,5,3]=>[3,2]
[5,-2,4,-1,3]=>[3,-1,4,-2,5]=>[1,5,2,4,3]=>[3,1,1]
[5,-2,4,-1,-3]=>[-3,-1,4,-2,5]=>[3,5,1,4,2]=>[2,2,1]
[5,-2,-4,1,3]=>[3,1,-4,-2,5]=>[2,1,4,5,3]=>[3,2]
[5,-2,-4,1,-3]=>[-3,1,-4,-2,5]=>[4,1,3,5,2]=>[3,1,1]
[5,-2,-4,-1,3]=>[3,-1,-4,-2,5]=>[1,5,3,4,2]=>[3,1,1]
[5,-2,-4,-1,-3]=>[-3,-1,-4,-2,5]=>[3,5,2,4,1]=>[2,2,1]
[-5,2,4,1,3]=>[3,1,4,2,-5]=>[3,1,4,2,5]=>[3,2]
[-5,2,4,1,-3]=>[-3,1,4,2,-5]=>[5,1,3,2,4]=>[3,1,1]
[-5,2,4,-1,3]=>[3,-1,4,2,-5]=>[2,5,3,1,4]=>[3,1,1]
[-5,2,4,-1,-3]=>[-3,-1,4,2,-5]=>[4,5,2,1,3]=>[2,2,1]
[-5,2,-4,1,3]=>[3,1,-4,2,-5]=>[3,1,5,2,4]=>[3,2]
[-5,2,-4,1,-3]=>[-3,1,-4,2,-5]=>[5,1,4,2,3]=>[3,1,1]
[-5,2,-4,-1,3]=>[3,-1,-4,2,-5]=>[2,5,4,1,3]=>[2,2,1]
[-5,2,-4,-1,-3]=>[-3,-1,-4,2,-5]=>[4,5,3,1,2]=>[2,2,1]
[-5,-2,4,1,3]=>[3,1,4,-2,-5]=>[2,1,3,5,4]=>[3,2]
[-5,-2,4,1,-3]=>[-3,1,4,-2,-5]=>[4,1,2,5,3]=>[3,2]
[-5,-2,4,-1,3]=>[3,-1,4,-2,-5]=>[1,5,2,4,3]=>[3,1,1]
[-5,-2,4,-1,-3]=>[-3,-1,4,-2,-5]=>[3,5,1,4,2]=>[2,2,1]
[-5,-2,-4,1,3]=>[3,1,-4,-2,-5]=>[2,1,4,5,3]=>[3,2]
[-5,-2,-4,1,-3]=>[-3,1,-4,-2,-5]=>[4,1,3,5,2]=>[3,1,1]
[-5,-2,-4,-1,3]=>[3,-1,-4,-2,-5]=>[1,5,3,4,2]=>[3,1,1]
[-5,-2,-4,-1,-3]=>[-3,-1,-4,-2,-5]=>[3,5,2,4,1]=>[2,2,1]
[5,2,4,3,1]=>[1,3,4,2,5]=>[1,3,4,2,5]=>[4,1]
[5,2,4,3,-1]=>[-1,3,4,2,5]=>[5,2,3,1,4]=>[3,1,1]
[5,2,4,-3,1]=>[1,-3,4,2,5]=>[1,5,3,2,4]=>[3,1,1]
[5,2,4,-3,-1]=>[-1,-3,4,2,5]=>[5,4,2,1,3]=>[2,1,1,1]
[5,2,-4,3,1]=>[1,3,-4,2,5]=>[1,3,5,2,4]=>[3,2]
[5,2,-4,3,-1]=>[-1,3,-4,2,5]=>[5,2,4,1,3]=>[2,2,1]
[5,2,-4,-3,1]=>[1,-3,-4,2,5]=>[1,5,4,2,3]=>[3,1,1]
[5,2,-4,-3,-1]=>[-1,-3,-4,2,5]=>[5,4,3,1,2]=>[2,1,1,1]
[5,-2,4,3,1]=>[1,3,4,-2,5]=>[1,2,3,5,4]=>[4,1]
[5,-2,4,3,-1]=>[-1,3,4,-2,5]=>[5,1,2,4,3]=>[3,1,1]
[5,-2,4,-3,1]=>[1,-3,4,-2,5]=>[1,4,2,5,3]=>[3,2]
[5,-2,4,-3,-1]=>[-1,-3,4,-2,5]=>[5,3,1,4,2]=>[2,2,1]
[5,-2,-4,3,1]=>[1,3,-4,-2,5]=>[1,2,4,5,3]=>[4,1]
[5,-2,-4,3,-1]=>[-1,3,-4,-2,5]=>[5,1,3,4,2]=>[3,1,1]
[5,-2,-4,-3,1]=>[1,-3,-4,-2,5]=>[1,4,3,5,2]=>[3,1,1]
[5,-2,-4,-3,-1]=>[-1,-3,-4,-2,5]=>[5,3,2,4,1]=>[2,1,1,1]
[-5,2,4,3,1]=>[1,3,4,2,-5]=>[1,3,4,2,5]=>[4,1]
[-5,2,4,3,-1]=>[-1,3,4,2,-5]=>[5,2,3,1,4]=>[3,1,1]
[-5,2,4,-3,1]=>[1,-3,4,2,-5]=>[1,5,3,2,4]=>[3,1,1]
[-5,2,4,-3,-1]=>[-1,-3,4,2,-5]=>[5,4,2,1,3]=>[2,1,1,1]
[-5,2,-4,3,1]=>[1,3,-4,2,-5]=>[1,3,5,2,4]=>[3,2]
[-5,2,-4,3,-1]=>[-1,3,-4,2,-5]=>[5,2,4,1,3]=>[2,2,1]
[-5,2,-4,-3,1]=>[1,-3,-4,2,-5]=>[1,5,4,2,3]=>[3,1,1]
[-5,2,-4,-3,-1]=>[-1,-3,-4,2,-5]=>[5,4,3,1,2]=>[2,1,1,1]
[-5,-2,4,3,1]=>[1,3,4,-2,-5]=>[1,2,3,5,4]=>[4,1]
[-5,-2,4,3,-1]=>[-1,3,4,-2,-5]=>[5,1,2,4,3]=>[3,1,1]
[-5,-2,4,-3,1]=>[1,-3,4,-2,-5]=>[1,4,2,5,3]=>[3,2]
[-5,-2,4,-3,-1]=>[-1,-3,4,-2,-5]=>[5,3,1,4,2]=>[2,2,1]
[-5,-2,-4,3,1]=>[1,3,-4,-2,-5]=>[1,2,4,5,3]=>[4,1]
[-5,-2,-4,3,-1]=>[-1,3,-4,-2,-5]=>[5,1,3,4,2]=>[3,1,1]
[-5,-2,-4,-3,1]=>[1,-3,-4,-2,-5]=>[1,4,3,5,2]=>[3,1,1]
[-5,-2,-4,-3,-1]=>[-1,-3,-4,-2,-5]=>[5,3,2,4,1]=>[2,1,1,1]
[5,3,1,2,4]=>[4,2,1,3,5]=>[4,2,1,3,5]=>[3,1,1]
[5,3,1,2,-4]=>[-4,2,1,3,5]=>[5,2,1,3,4]=>[3,1,1]
[5,3,1,-2,4]=>[4,-2,1,3,5]=>[3,5,1,2,4]=>[3,2]
[5,3,1,-2,-4]=>[-4,-2,1,3,5]=>[4,5,1,2,3]=>[3,2]
[5,3,-1,2,4]=>[4,2,-1,3,5]=>[3,1,5,2,4]=>[3,2]
[5,3,-1,2,-4]=>[-4,2,-1,3,5]=>[4,1,5,2,3]=>[3,2]
[5,3,-1,-2,4]=>[4,-2,-1,3,5]=>[2,4,5,1,3]=>[3,2]
[5,3,-1,-2,-4]=>[-4,-2,-1,3,5]=>[3,4,5,1,2]=>[3,2]
[5,-3,1,2,4]=>[4,2,1,-3,5]=>[3,2,1,5,4]=>[2,2,1]
[5,-3,1,2,-4]=>[-4,2,1,-3,5]=>[4,2,1,5,3]=>[2,2,1]
[5,-3,1,-2,4]=>[4,-2,1,-3,5]=>[2,5,1,4,3]=>[2,2,1]
[5,-3,1,-2,-4]=>[-4,-2,1,-3,5]=>[3,5,1,4,2]=>[2,2,1]
[5,-3,-1,2,4]=>[4,2,-1,-3,5]=>[2,1,5,4,3]=>[2,2,1]
[5,-3,-1,2,-4]=>[-4,2,-1,-3,5]=>[3,1,5,4,2]=>[2,2,1]
[5,-3,-1,-2,4]=>[4,-2,-1,-3,5]=>[1,4,5,3,2]=>[3,1,1]
[5,-3,-1,-2,-4]=>[-4,-2,-1,-3,5]=>[2,4,5,3,1]=>[3,1,1]
[-5,3,1,2,4]=>[4,2,1,3,-5]=>[4,2,1,3,5]=>[3,1,1]
[-5,3,1,2,-4]=>[-4,2,1,3,-5]=>[5,2,1,3,4]=>[3,1,1]
[-5,3,1,-2,4]=>[4,-2,1,3,-5]=>[3,5,1,2,4]=>[3,2]
[-5,3,1,-2,-4]=>[-4,-2,1,3,-5]=>[4,5,1,2,3]=>[3,2]
[-5,3,-1,2,4]=>[4,2,-1,3,-5]=>[3,1,5,2,4]=>[3,2]
[-5,3,-1,2,-4]=>[-4,2,-1,3,-5]=>[4,1,5,2,3]=>[3,2]
[-5,3,-1,-2,4]=>[4,-2,-1,3,-5]=>[2,4,5,1,3]=>[3,2]
[-5,3,-1,-2,-4]=>[-4,-2,-1,3,-5]=>[3,4,5,1,2]=>[3,2]
[-5,-3,1,2,4]=>[4,2,1,-3,-5]=>[3,2,1,5,4]=>[2,2,1]
[-5,-3,1,2,-4]=>[-4,2,1,-3,-5]=>[4,2,1,5,3]=>[2,2,1]
[-5,-3,1,-2,4]=>[4,-2,1,-3,-5]=>[2,5,1,4,3]=>[2,2,1]
[-5,-3,1,-2,-4]=>[-4,-2,1,-3,-5]=>[3,5,1,4,2]=>[2,2,1]
[-5,-3,-1,2,4]=>[4,2,-1,-3,-5]=>[2,1,5,4,3]=>[2,2,1]
[-5,-3,-1,2,-4]=>[-4,2,-1,-3,-5]=>[3,1,5,4,2]=>[2,2,1]
[-5,-3,-1,-2,4]=>[4,-2,-1,-3,-5]=>[1,4,5,3,2]=>[3,1,1]
[-5,-3,-1,-2,-4]=>[-4,-2,-1,-3,-5]=>[2,4,5,3,1]=>[3,1,1]
[5,3,1,4,2]=>[2,4,1,3,5]=>[2,4,1,3,5]=>[3,2]
[5,3,1,4,-2]=>[-2,4,1,3,5]=>[5,3,1,2,4]=>[3,1,1]
[5,3,1,-4,2]=>[2,-4,1,3,5]=>[2,5,1,3,4]=>[3,2]
[5,3,1,-4,-2]=>[-2,-4,1,3,5]=>[5,4,1,2,3]=>[3,1,1]
[5,3,-1,4,2]=>[2,4,-1,3,5]=>[1,3,5,2,4]=>[3,2]
[5,3,-1,4,-2]=>[-2,4,-1,3,5]=>[4,2,5,1,3]=>[2,2,1]
[5,3,-1,-4,2]=>[2,-4,-1,3,5]=>[1,4,5,2,3]=>[3,2]
[5,3,-1,-4,-2]=>[-2,-4,-1,3,5]=>[4,3,5,1,2]=>[2,2,1]
[5,-3,1,4,2]=>[2,4,1,-3,5]=>[2,3,1,5,4]=>[3,2]
[5,-3,1,4,-2]=>[-2,4,1,-3,5]=>[5,2,1,4,3]=>[2,2,1]
[5,-3,1,-4,2]=>[2,-4,1,-3,5]=>[2,4,1,5,3]=>[3,2]
[5,-3,1,-4,-2]=>[-2,-4,1,-3,5]=>[5,3,1,4,2]=>[2,2,1]
[5,-3,-1,4,2]=>[2,4,-1,-3,5]=>[1,2,5,4,3]=>[3,1,1]
[5,-3,-1,4,-2]=>[-2,4,-1,-3,5]=>[4,1,5,3,2]=>[2,2,1]
[5,-3,-1,-4,2]=>[2,-4,-1,-3,5]=>[1,3,5,4,2]=>[3,1,1]
[5,-3,-1,-4,-2]=>[-2,-4,-1,-3,5]=>[4,2,5,3,1]=>[2,2,1]
[-5,3,1,4,2]=>[2,4,1,3,-5]=>[2,4,1,3,5]=>[3,2]
[-5,3,1,4,-2]=>[-2,4,1,3,-5]=>[5,3,1,2,4]=>[3,1,1]
[-5,3,1,-4,2]=>[2,-4,1,3,-5]=>[2,5,1,3,4]=>[3,2]
[-5,3,1,-4,-2]=>[-2,-4,1,3,-5]=>[5,4,1,2,3]=>[3,1,1]
[-5,3,-1,4,2]=>[2,4,-1,3,-5]=>[1,3,5,2,4]=>[3,2]
[-5,3,-1,4,-2]=>[-2,4,-1,3,-5]=>[4,2,5,1,3]=>[2,2,1]
[-5,3,-1,-4,2]=>[2,-4,-1,3,-5]=>[1,4,5,2,3]=>[3,2]
[-5,3,-1,-4,-2]=>[-2,-4,-1,3,-5]=>[4,3,5,1,2]=>[2,2,1]
[-5,-3,1,4,2]=>[2,4,1,-3,-5]=>[2,3,1,5,4]=>[3,2]
[-5,-3,1,4,-2]=>[-2,4,1,-3,-5]=>[5,2,1,4,3]=>[2,2,1]
[-5,-3,1,-4,2]=>[2,-4,1,-3,-5]=>[2,4,1,5,3]=>[3,2]
[-5,-3,1,-4,-2]=>[-2,-4,1,-3,-5]=>[5,3,1,4,2]=>[2,2,1]
[-5,-3,-1,4,2]=>[2,4,-1,-3,-5]=>[1,2,5,4,3]=>[3,1,1]
[-5,-3,-1,4,-2]=>[-2,4,-1,-3,-5]=>[4,1,5,3,2]=>[2,2,1]
[-5,-3,-1,-4,2]=>[2,-4,-1,-3,-5]=>[1,3,5,4,2]=>[3,1,1]
[-5,-3,-1,-4,-2]=>[-2,-4,-1,-3,-5]=>[4,2,5,3,1]=>[2,2,1]
[5,3,2,1,4]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[4,1]
[5,3,2,1,-4]=>[-4,1,2,3,5]=>[5,1,2,3,4]=>[4,1]
[5,3,2,-1,4]=>[4,-1,2,3,5]=>[3,5,1,2,4]=>[3,2]
[5,3,2,-1,-4]=>[-4,-1,2,3,5]=>[4,5,1,2,3]=>[3,2]
[5,3,-2,1,4]=>[4,1,-2,3,5]=>[3,1,5,2,4]=>[3,2]
[5,3,-2,1,-4]=>[-4,1,-2,3,5]=>[4,1,5,2,3]=>[3,2]
[5,3,-2,-1,4]=>[4,-1,-2,3,5]=>[2,5,4,1,3]=>[2,2,1]
[5,3,-2,-1,-4]=>[-4,-1,-2,3,5]=>[3,5,4,1,2]=>[2,2,1]
[5,-3,2,1,4]=>[4,1,2,-3,5]=>[3,1,2,5,4]=>[3,2]
[5,-3,2,1,-4]=>[-4,1,2,-3,5]=>[4,1,2,5,3]=>[3,2]
[5,-3,2,-1,4]=>[4,-1,2,-3,5]=>[2,5,1,4,3]=>[2,2,1]
[5,-3,2,-1,-4]=>[-4,-1,2,-3,5]=>[3,5,1,4,2]=>[2,2,1]
[5,-3,-2,1,4]=>[4,1,-2,-3,5]=>[2,1,5,4,3]=>[2,2,1]
[5,-3,-2,1,-4]=>[-4,1,-2,-3,5]=>[3,1,5,4,2]=>[2,2,1]
[5,-3,-2,-1,4]=>[4,-1,-2,-3,5]=>[1,5,4,3,2]=>[2,1,1,1]
[5,-3,-2,-1,-4]=>[-4,-1,-2,-3,5]=>[2,5,4,3,1]=>[2,1,1,1]
[-5,3,2,1,4]=>[4,1,2,3,-5]=>[4,1,2,3,5]=>[4,1]
[-5,3,2,1,-4]=>[-4,1,2,3,-5]=>[5,1,2,3,4]=>[4,1]
[-5,3,2,-1,4]=>[4,-1,2,3,-5]=>[3,5,1,2,4]=>[3,2]
[-5,3,2,-1,-4]=>[-4,-1,2,3,-5]=>[4,5,1,2,3]=>[3,2]
[-5,3,-2,1,4]=>[4,1,-2,3,-5]=>[3,1,5,2,4]=>[3,2]
[-5,3,-2,1,-4]=>[-4,1,-2,3,-5]=>[4,1,5,2,3]=>[3,2]
[-5,3,-2,-1,4]=>[4,-1,-2,3,-5]=>[2,5,4,1,3]=>[2,2,1]
[-5,3,-2,-1,-4]=>[-4,-1,-2,3,-5]=>[3,5,4,1,2]=>[2,2,1]
[-5,-3,2,1,4]=>[4,1,2,-3,-5]=>[3,1,2,5,4]=>[3,2]
[-5,-3,2,1,-4]=>[-4,1,2,-3,-5]=>[4,1,2,5,3]=>[3,2]
[-5,-3,2,-1,4]=>[4,-1,2,-3,-5]=>[2,5,1,4,3]=>[2,2,1]
[-5,-3,2,-1,-4]=>[-4,-1,2,-3,-5]=>[3,5,1,4,2]=>[2,2,1]
[-5,-3,-2,1,4]=>[4,1,-2,-3,-5]=>[2,1,5,4,3]=>[2,2,1]
[-5,-3,-2,1,-4]=>[-4,1,-2,-3,-5]=>[3,1,5,4,2]=>[2,2,1]
[-5,-3,-2,-1,4]=>[4,-1,-2,-3,-5]=>[1,5,4,3,2]=>[2,1,1,1]
[-5,-3,-2,-1,-4]=>[-4,-1,-2,-3,-5]=>[2,5,4,3,1]=>[2,1,1,1]
[5,3,2,4,1]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[4,1]
[5,3,2,4,-1]=>[-1,4,2,3,5]=>[5,3,1,2,4]=>[3,1,1]
[5,3,2,-4,1]=>[1,-4,2,3,5]=>[1,5,2,3,4]=>[4,1]
[5,3,2,-4,-1]=>[-1,-4,2,3,5]=>[5,4,1,2,3]=>[3,1,1]
[5,3,-2,4,1]=>[1,4,-2,3,5]=>[1,3,5,2,4]=>[3,2]
[5,3,-2,4,-1]=>[-1,4,-2,3,5]=>[5,2,4,1,3]=>[2,2,1]
[5,3,-2,-4,1]=>[1,-4,-2,3,5]=>[1,4,5,2,3]=>[3,2]
[5,3,-2,-4,-1]=>[-1,-4,-2,3,5]=>[5,3,4,1,2]=>[2,2,1]
[5,-3,2,4,1]=>[1,4,2,-3,5]=>[1,3,2,5,4]=>[3,2]
[5,-3,2,4,-1]=>[-1,4,2,-3,5]=>[5,2,1,4,3]=>[2,2,1]
[5,-3,2,-4,1]=>[1,-4,2,-3,5]=>[1,4,2,5,3]=>[3,2]
[5,-3,2,-4,-1]=>[-1,-4,2,-3,5]=>[5,3,1,4,2]=>[2,2,1]
[5,-3,-2,4,1]=>[1,4,-2,-3,5]=>[1,2,5,4,3]=>[3,1,1]
[5,-3,-2,4,-1]=>[-1,4,-2,-3,5]=>[5,1,4,3,2]=>[2,1,1,1]
[5,-3,-2,-4,1]=>[1,-4,-2,-3,5]=>[1,3,5,4,2]=>[3,1,1]
[5,-3,-2,-4,-1]=>[-1,-4,-2,-3,5]=>[5,2,4,3,1]=>[2,1,1,1]
[-5,3,2,4,1]=>[1,4,2,3,-5]=>[1,4,2,3,5]=>[4,1]
[-5,3,2,4,-1]=>[-1,4,2,3,-5]=>[5,3,1,2,4]=>[3,1,1]
[-5,3,2,-4,1]=>[1,-4,2,3,-5]=>[1,5,2,3,4]=>[4,1]
[-5,3,2,-4,-1]=>[-1,-4,2,3,-5]=>[5,4,1,2,3]=>[3,1,1]
[-5,3,-2,4,1]=>[1,4,-2,3,-5]=>[1,3,5,2,4]=>[3,2]
[-5,3,-2,4,-1]=>[-1,4,-2,3,-5]=>[5,2,4,1,3]=>[2,2,1]
[-5,3,-2,-4,1]=>[1,-4,-2,3,-5]=>[1,4,5,2,3]=>[3,2]
[-5,3,-2,-4,-1]=>[-1,-4,-2,3,-5]=>[5,3,4,1,2]=>[2,2,1]
[-5,-3,2,4,1]=>[1,4,2,-3,-5]=>[1,3,2,5,4]=>[3,2]
[-5,-3,2,4,-1]=>[-1,4,2,-3,-5]=>[5,2,1,4,3]=>[2,2,1]
[-5,-3,2,-4,1]=>[1,-4,2,-3,-5]=>[1,4,2,5,3]=>[3,2]
[-5,-3,2,-4,-1]=>[-1,-4,2,-3,-5]=>[5,3,1,4,2]=>[2,2,1]
[-5,-3,-2,4,1]=>[1,4,-2,-3,-5]=>[1,2,5,4,3]=>[3,1,1]
[-5,-3,-2,4,-1]=>[-1,4,-2,-3,-5]=>[5,1,4,3,2]=>[2,1,1,1]
[-5,-3,-2,-4,1]=>[1,-4,-2,-3,-5]=>[1,3,5,4,2]=>[3,1,1]
[-5,-3,-2,-4,-1]=>[-1,-4,-2,-3,-5]=>[5,2,4,3,1]=>[2,1,1,1]
[5,3,4,1,2]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[3,2]
[5,3,4,1,-2]=>[-2,1,4,3,5]=>[5,1,3,2,4]=>[3,1,1]
[5,3,4,-1,2]=>[2,-1,4,3,5]=>[1,5,3,2,4]=>[3,1,1]
[5,3,4,-1,-2]=>[-2,-1,4,3,5]=>[4,5,2,1,3]=>[2,2,1]
[5,3,-4,1,2]=>[2,1,-4,3,5]=>[2,1,5,3,4]=>[3,2]
[5,3,-4,1,-2]=>[-2,1,-4,3,5]=>[5,1,4,2,3]=>[3,1,1]
[5,3,-4,-1,2]=>[2,-1,-4,3,5]=>[1,5,4,2,3]=>[3,1,1]
[5,3,-4,-1,-2]=>[-2,-1,-4,3,5]=>[4,5,3,1,2]=>[2,2,1]
[5,-3,4,1,2]=>[2,1,4,-3,5]=>[2,1,3,5,4]=>[3,2]
[5,-3,4,1,-2]=>[-2,1,4,-3,5]=>[5,1,2,4,3]=>[3,1,1]
[5,-3,4,-1,2]=>[2,-1,4,-3,5]=>[1,5,2,4,3]=>[3,1,1]
[5,-3,4,-1,-2]=>[-2,-1,4,-3,5]=>[4,5,1,3,2]=>[2,2,1]
[5,-3,-4,1,2]=>[2,1,-4,-3,5]=>[2,1,4,5,3]=>[3,2]
[5,-3,-4,1,-2]=>[-2,1,-4,-3,5]=>[5,1,3,4,2]=>[3,1,1]
[5,-3,-4,-1,2]=>[2,-1,-4,-3,5]=>[1,5,3,4,2]=>[3,1,1]
[5,-3,-4,-1,-2]=>[-2,-1,-4,-3,5]=>[4,5,2,3,1]=>[2,2,1]
[-5,3,4,1,2]=>[2,1,4,3,-5]=>[2,1,4,3,5]=>[3,2]
[-5,3,4,1,-2]=>[-2,1,4,3,-5]=>[5,1,3,2,4]=>[3,1,1]
[-5,3,4,-1,2]=>[2,-1,4,3,-5]=>[1,5,3,2,4]=>[3,1,1]
[-5,3,4,-1,-2]=>[-2,-1,4,3,-5]=>[4,5,2,1,3]=>[2,2,1]
[-5,3,-4,1,2]=>[2,1,-4,3,-5]=>[2,1,5,3,4]=>[3,2]
[-5,3,-4,1,-2]=>[-2,1,-4,3,-5]=>[5,1,4,2,3]=>[3,1,1]
[-5,3,-4,-1,2]=>[2,-1,-4,3,-5]=>[1,5,4,2,3]=>[3,1,1]
[-5,3,-4,-1,-2]=>[-2,-1,-4,3,-5]=>[4,5,3,1,2]=>[2,2,1]
[-5,-3,4,1,2]=>[2,1,4,-3,-5]=>[2,1,3,5,4]=>[3,2]
[-5,-3,4,1,-2]=>[-2,1,4,-3,-5]=>[5,1,2,4,3]=>[3,1,1]
[-5,-3,4,-1,2]=>[2,-1,4,-3,-5]=>[1,5,2,4,3]=>[3,1,1]
[-5,-3,4,-1,-2]=>[-2,-1,4,-3,-5]=>[4,5,1,3,2]=>[2,2,1]
[-5,-3,-4,1,2]=>[2,1,-4,-3,-5]=>[2,1,4,5,3]=>[3,2]
[-5,-3,-4,1,-2]=>[-2,1,-4,-3,-5]=>[5,1,3,4,2]=>[3,1,1]
[-5,-3,-4,-1,2]=>[2,-1,-4,-3,-5]=>[1,5,3,4,2]=>[3,1,1]
[-5,-3,-4,-1,-2]=>[-2,-1,-4,-3,-5]=>[4,5,2,3,1]=>[2,2,1]
[5,3,4,2,1]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[4,1]
[5,3,4,2,-1]=>[-1,2,4,3,5]=>[5,1,3,2,4]=>[3,1,1]
[5,3,4,-2,1]=>[1,-2,4,3,5]=>[1,5,3,2,4]=>[3,1,1]
[5,3,4,-2,-1]=>[-1,-2,4,3,5]=>[5,4,2,1,3]=>[2,1,1,1]
[5,3,-4,2,1]=>[1,2,-4,3,5]=>[1,2,5,3,4]=>[4,1]
[5,3,-4,2,-1]=>[-1,2,-4,3,5]=>[5,1,4,2,3]=>[3,1,1]
[5,3,-4,-2,1]=>[1,-2,-4,3,5]=>[1,5,4,2,3]=>[3,1,1]
[5,3,-4,-2,-1]=>[-1,-2,-4,3,5]=>[5,4,3,1,2]=>[2,1,1,1]
[5,-3,4,2,1]=>[1,2,4,-3,5]=>[1,2,3,5,4]=>[4,1]
[5,-3,4,2,-1]=>[-1,2,4,-3,5]=>[5,1,2,4,3]=>[3,1,1]
[5,-3,4,-2,1]=>[1,-2,4,-3,5]=>[1,5,2,4,3]=>[3,1,1]
[5,-3,4,-2,-1]=>[-1,-2,4,-3,5]=>[5,4,1,3,2]=>[2,1,1,1]
[5,-3,-4,2,1]=>[1,2,-4,-3,5]=>[1,2,4,5,3]=>[4,1]
[5,-3,-4,2,-1]=>[-1,2,-4,-3,5]=>[5,1,3,4,2]=>[3,1,1]
[5,-3,-4,-2,1]=>[1,-2,-4,-3,5]=>[1,5,3,4,2]=>[3,1,1]
[5,-3,-4,-2,-1]=>[-1,-2,-4,-3,5]=>[5,4,2,3,1]=>[2,1,1,1]
[-5,3,4,2,1]=>[1,2,4,3,-5]=>[1,2,4,3,5]=>[4,1]
[-5,3,4,2,-1]=>[-1,2,4,3,-5]=>[5,1,3,2,4]=>[3,1,1]
[-5,3,4,-2,1]=>[1,-2,4,3,-5]=>[1,5,3,2,4]=>[3,1,1]
[-5,3,4,-2,-1]=>[-1,-2,4,3,-5]=>[5,4,2,1,3]=>[2,1,1,1]
[-5,3,-4,2,1]=>[1,2,-4,3,-5]=>[1,2,5,3,4]=>[4,1]
[-5,3,-4,2,-1]=>[-1,2,-4,3,-5]=>[5,1,4,2,3]=>[3,1,1]
[-5,3,-4,-2,1]=>[1,-2,-4,3,-5]=>[1,5,4,2,3]=>[3,1,1]
[-5,3,-4,-2,-1]=>[-1,-2,-4,3,-5]=>[5,4,3,1,2]=>[2,1,1,1]
[-5,-3,4,2,1]=>[1,2,4,-3,-5]=>[1,2,3,5,4]=>[4,1]
[-5,-3,4,2,-1]=>[-1,2,4,-3,-5]=>[5,1,2,4,3]=>[3,1,1]
[-5,-3,4,-2,1]=>[1,-2,4,-3,-5]=>[1,5,2,4,3]=>[3,1,1]
[-5,-3,4,-2,-1]=>[-1,-2,4,-3,-5]=>[5,4,1,3,2]=>[2,1,1,1]
[-5,-3,-4,2,1]=>[1,2,-4,-3,-5]=>[1,2,4,5,3]=>[4,1]
[-5,-3,-4,2,-1]=>[-1,2,-4,-3,-5]=>[5,1,3,4,2]=>[3,1,1]
[-5,-3,-4,-2,1]=>[1,-2,-4,-3,-5]=>[1,5,3,4,2]=>[3,1,1]
[-5,-3,-4,-2,-1]=>[-1,-2,-4,-3,-5]=>[5,4,2,3,1]=>[2,1,1,1]
[5,4,1,2,3]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[3,1,1]
[5,4,1,2,-3]=>[-3,2,1,4,5]=>[5,2,1,3,4]=>[3,1,1]
[5,4,1,-2,3]=>[3,-2,1,4,5]=>[2,5,1,3,4]=>[3,2]
[5,4,1,-2,-3]=>[-3,-2,1,4,5]=>[4,5,1,2,3]=>[3,2]
[5,4,-1,2,3]=>[3,2,-1,4,5]=>[2,1,5,3,4]=>[3,2]
[5,4,-1,2,-3]=>[-3,2,-1,4,5]=>[4,1,5,2,3]=>[3,2]
[5,4,-1,-2,3]=>[3,-2,-1,4,5]=>[1,4,5,2,3]=>[3,2]
[5,4,-1,-2,-3]=>[-3,-2,-1,4,5]=>[3,4,5,1,2]=>[3,2]
[5,-4,1,2,3]=>[3,2,1,-4,5]=>[3,2,1,5,4]=>[2,2,1]
[5,-4,1,2,-3]=>[-3,2,1,-4,5]=>[5,2,1,4,3]=>[2,2,1]
[5,-4,1,-2,3]=>[3,-2,1,-4,5]=>[2,5,1,4,3]=>[2,2,1]
[5,-4,1,-2,-3]=>[-3,-2,1,-4,5]=>[4,5,1,3,2]=>[2,2,1]
[5,-4,-1,2,3]=>[3,2,-1,-4,5]=>[2,1,5,4,3]=>[2,2,1]
[5,-4,-1,2,-3]=>[-3,2,-1,-4,5]=>[4,1,5,3,2]=>[2,2,1]
[5,-4,-1,-2,3]=>[3,-2,-1,-4,5]=>[1,4,5,3,2]=>[3,1,1]
[5,-4,-1,-2,-3]=>[-3,-2,-1,-4,5]=>[3,4,5,2,1]=>[3,1,1]
[-5,4,1,2,3]=>[3,2,1,4,-5]=>[3,2,1,4,5]=>[3,1,1]
[-5,4,1,2,-3]=>[-3,2,1,4,-5]=>[5,2,1,3,4]=>[3,1,1]
[-5,4,1,-2,3]=>[3,-2,1,4,-5]=>[2,5,1,3,4]=>[3,2]
[-5,4,1,-2,-3]=>[-3,-2,1,4,-5]=>[4,5,1,2,3]=>[3,2]
[-5,4,-1,2,3]=>[3,2,-1,4,-5]=>[2,1,5,3,4]=>[3,2]
[-5,4,-1,2,-3]=>[-3,2,-1,4,-5]=>[4,1,5,2,3]=>[3,2]
[-5,4,-1,-2,3]=>[3,-2,-1,4,-5]=>[1,4,5,2,3]=>[3,2]
[-5,4,-1,-2,-3]=>[-3,-2,-1,4,-5]=>[3,4,5,1,2]=>[3,2]
[-5,-4,1,2,3]=>[3,2,1,-4,-5]=>[3,2,1,5,4]=>[2,2,1]
[-5,-4,1,2,-3]=>[-3,2,1,-4,-5]=>[5,2,1,4,3]=>[2,2,1]
[-5,-4,1,-2,3]=>[3,-2,1,-4,-5]=>[2,5,1,4,3]=>[2,2,1]
[-5,-4,1,-2,-3]=>[-3,-2,1,-4,-5]=>[4,5,1,3,2]=>[2,2,1]
[-5,-4,-1,2,3]=>[3,2,-1,-4,-5]=>[2,1,5,4,3]=>[2,2,1]
[-5,-4,-1,2,-3]=>[-3,2,-1,-4,-5]=>[4,1,5,3,2]=>[2,2,1]
[-5,-4,-1,-2,3]=>[3,-2,-1,-4,-5]=>[1,4,5,3,2]=>[3,1,1]
[-5,-4,-1,-2,-3]=>[-3,-2,-1,-4,-5]=>[3,4,5,2,1]=>[3,1,1]
[5,4,1,3,2]=>[2,3,1,4,5]=>[2,3,1,4,5]=>[4,1]
[5,4,1,3,-2]=>[-2,3,1,4,5]=>[5,2,1,3,4]=>[3,1,1]
[5,4,1,-3,2]=>[2,-3,1,4,5]=>[2,5,1,3,4]=>[3,2]
[5,4,1,-3,-2]=>[-2,-3,1,4,5]=>[5,4,1,2,3]=>[3,1,1]
[5,4,-1,3,2]=>[2,3,-1,4,5]=>[1,2,5,3,4]=>[4,1]
[5,4,-1,3,-2]=>[-2,3,-1,4,5]=>[4,1,5,2,3]=>[3,2]
[5,4,-1,-3,2]=>[2,-3,-1,4,5]=>[1,4,5,2,3]=>[3,2]
[5,4,-1,-3,-2]=>[-2,-3,-1,4,5]=>[4,3,5,1,2]=>[2,2,1]
[5,-4,1,3,2]=>[2,3,1,-4,5]=>[2,3,1,5,4]=>[3,2]
[5,-4,1,3,-2]=>[-2,3,1,-4,5]=>[5,2,1,4,3]=>[2,2,1]
[5,-4,1,-3,2]=>[2,-3,1,-4,5]=>[2,5,1,4,3]=>[2,2,1]
[5,-4,1,-3,-2]=>[-2,-3,1,-4,5]=>[5,4,1,3,2]=>[2,1,1,1]
[5,-4,-1,3,2]=>[2,3,-1,-4,5]=>[1,2,5,4,3]=>[3,1,1]
[5,-4,-1,3,-2]=>[-2,3,-1,-4,5]=>[4,1,5,3,2]=>[2,2,1]
[5,-4,-1,-3,2]=>[2,-3,-1,-4,5]=>[1,4,5,3,2]=>[3,1,1]
[5,-4,-1,-3,-2]=>[-2,-3,-1,-4,5]=>[4,3,5,2,1]=>[2,1,1,1]
[-5,4,1,3,2]=>[2,3,1,4,-5]=>[2,3,1,4,5]=>[4,1]
[-5,4,1,3,-2]=>[-2,3,1,4,-5]=>[5,2,1,3,4]=>[3,1,1]
[-5,4,1,-3,2]=>[2,-3,1,4,-5]=>[2,5,1,3,4]=>[3,2]
[-5,4,1,-3,-2]=>[-2,-3,1,4,-5]=>[5,4,1,2,3]=>[3,1,1]
[-5,4,-1,3,2]=>[2,3,-1,4,-5]=>[1,2,5,3,4]=>[4,1]
[-5,4,-1,3,-2]=>[-2,3,-1,4,-5]=>[4,1,5,2,3]=>[3,2]
[-5,4,-1,-3,2]=>[2,-3,-1,4,-5]=>[1,4,5,2,3]=>[3,2]
[-5,4,-1,-3,-2]=>[-2,-3,-1,4,-5]=>[4,3,5,1,2]=>[2,2,1]
[-5,-4,1,3,2]=>[2,3,1,-4,-5]=>[2,3,1,5,4]=>[3,2]
[-5,-4,1,3,-2]=>[-2,3,1,-4,-5]=>[5,2,1,4,3]=>[2,2,1]
[-5,-4,1,-3,2]=>[2,-3,1,-4,-5]=>[2,5,1,4,3]=>[2,2,1]
[-5,-4,1,-3,-2]=>[-2,-3,1,-4,-5]=>[5,4,1,3,2]=>[2,1,1,1]
[-5,-4,-1,3,2]=>[2,3,-1,-4,-5]=>[1,2,5,4,3]=>[3,1,1]
[-5,-4,-1,3,-2]=>[-2,3,-1,-4,-5]=>[4,1,5,3,2]=>[2,2,1]
[-5,-4,-1,-3,2]=>[2,-3,-1,-4,-5]=>[1,4,5,3,2]=>[3,1,1]
[-5,-4,-1,-3,-2]=>[-2,-3,-1,-4,-5]=>[4,3,5,2,1]=>[2,1,1,1]
[5,4,2,1,3]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[4,1]
[5,4,2,1,-3]=>[-3,1,2,4,5]=>[5,1,2,3,4]=>[4,1]
[5,4,2,-1,3]=>[3,-1,2,4,5]=>[2,5,1,3,4]=>[3,2]
[5,4,2,-1,-3]=>[-3,-1,2,4,5]=>[4,5,1,2,3]=>[3,2]
[5,4,-2,1,3]=>[3,1,-2,4,5]=>[2,1,5,3,4]=>[3,2]
[5,4,-2,1,-3]=>[-3,1,-2,4,5]=>[4,1,5,2,3]=>[3,2]
[5,4,-2,-1,3]=>[3,-1,-2,4,5]=>[1,5,4,2,3]=>[3,1,1]
[5,4,-2,-1,-3]=>[-3,-1,-2,4,5]=>[3,5,4,1,2]=>[2,2,1]
[5,-4,2,1,3]=>[3,1,2,-4,5]=>[3,1,2,5,4]=>[3,2]
[5,-4,2,1,-3]=>[-3,1,2,-4,5]=>[5,1,2,4,3]=>[3,1,1]
[5,-4,2,-1,3]=>[3,-1,2,-4,5]=>[2,5,1,4,3]=>[2,2,1]
[5,-4,2,-1,-3]=>[-3,-1,2,-4,5]=>[4,5,1,3,2]=>[2,2,1]
[5,-4,-2,1,3]=>[3,1,-2,-4,5]=>[2,1,5,4,3]=>[2,2,1]
[5,-4,-2,1,-3]=>[-3,1,-2,-4,5]=>[4,1,5,3,2]=>[2,2,1]
[5,-4,-2,-1,3]=>[3,-1,-2,-4,5]=>[1,5,4,3,2]=>[2,1,1,1]
[5,-4,-2,-1,-3]=>[-3,-1,-2,-4,5]=>[3,5,4,2,1]=>[2,1,1,1]
[-5,4,2,1,3]=>[3,1,2,4,-5]=>[3,1,2,4,5]=>[4,1]
[-5,4,2,1,-3]=>[-3,1,2,4,-5]=>[5,1,2,3,4]=>[4,1]
[-5,4,2,-1,3]=>[3,-1,2,4,-5]=>[2,5,1,3,4]=>[3,2]
[-5,4,2,-1,-3]=>[-3,-1,2,4,-5]=>[4,5,1,2,3]=>[3,2]
[-5,4,-2,1,3]=>[3,1,-2,4,-5]=>[2,1,5,3,4]=>[3,2]
[-5,4,-2,1,-3]=>[-3,1,-2,4,-5]=>[4,1,5,2,3]=>[3,2]
[-5,4,-2,-1,3]=>[3,-1,-2,4,-5]=>[1,5,4,2,3]=>[3,1,1]
[-5,4,-2,-1,-3]=>[-3,-1,-2,4,-5]=>[3,5,4,1,2]=>[2,2,1]
[-5,-4,2,1,3]=>[3,1,2,-4,-5]=>[3,1,2,5,4]=>[3,2]
[-5,-4,2,1,-3]=>[-3,1,2,-4,-5]=>[5,1,2,4,3]=>[3,1,1]
[-5,-4,2,-1,3]=>[3,-1,2,-4,-5]=>[2,5,1,4,3]=>[2,2,1]
[-5,-4,2,-1,-3]=>[-3,-1,2,-4,-5]=>[4,5,1,3,2]=>[2,2,1]
[-5,-4,-2,1,3]=>[3,1,-2,-4,-5]=>[2,1,5,4,3]=>[2,2,1]
[-5,-4,-2,1,-3]=>[-3,1,-2,-4,-5]=>[4,1,5,3,2]=>[2,2,1]
[-5,-4,-2,-1,3]=>[3,-1,-2,-4,-5]=>[1,5,4,3,2]=>[2,1,1,1]
[-5,-4,-2,-1,-3]=>[-3,-1,-2,-4,-5]=>[3,5,4,2,1]=>[2,1,1,1]
[5,4,2,3,1]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[4,1]
[5,4,2,3,-1]=>[-1,3,2,4,5]=>[5,2,1,3,4]=>[3,1,1]
[5,4,2,-3,1]=>[1,-3,2,4,5]=>[1,5,2,3,4]=>[4,1]
[5,4,2,-3,-1]=>[-1,-3,2,4,5]=>[5,4,1,2,3]=>[3,1,1]
[5,4,-2,3,1]=>[1,3,-2,4,5]=>[1,2,5,3,4]=>[4,1]
[5,4,-2,3,-1]=>[-1,3,-2,4,5]=>[5,1,4,2,3]=>[3,1,1]
[5,4,-2,-3,1]=>[1,-3,-2,4,5]=>[1,4,5,2,3]=>[3,2]
[5,4,-2,-3,-1]=>[-1,-3,-2,4,5]=>[5,3,4,1,2]=>[2,2,1]
[5,-4,2,3,1]=>[1,3,2,-4,5]=>[1,3,2,5,4]=>[3,2]
[5,-4,2,3,-1]=>[-1,3,2,-4,5]=>[5,2,1,4,3]=>[2,2,1]
[5,-4,2,-3,1]=>[1,-3,2,-4,5]=>[1,5,2,4,3]=>[3,1,1]
[5,-4,2,-3,-1]=>[-1,-3,2,-4,5]=>[5,4,1,3,2]=>[2,1,1,1]
[5,-4,-2,3,1]=>[1,3,-2,-4,5]=>[1,2,5,4,3]=>[3,1,1]
[5,-4,-2,3,-1]=>[-1,3,-2,-4,5]=>[5,1,4,3,2]=>[2,1,1,1]
[5,-4,-2,-3,1]=>[1,-3,-2,-4,5]=>[1,4,5,3,2]=>[3,1,1]
[5,-4,-2,-3,-1]=>[-1,-3,-2,-4,5]=>[5,3,4,2,1]=>[2,1,1,1]
[-5,4,2,3,1]=>[1,3,2,4,-5]=>[1,3,2,4,5]=>[4,1]
[-5,4,2,3,-1]=>[-1,3,2,4,-5]=>[5,2,1,3,4]=>[3,1,1]
[-5,4,2,-3,1]=>[1,-3,2,4,-5]=>[1,5,2,3,4]=>[4,1]
[-5,4,2,-3,-1]=>[-1,-3,2,4,-5]=>[5,4,1,2,3]=>[3,1,1]
[-5,4,-2,3,1]=>[1,3,-2,4,-5]=>[1,2,5,3,4]=>[4,1]
[-5,4,-2,3,-1]=>[-1,3,-2,4,-5]=>[5,1,4,2,3]=>[3,1,1]
[-5,4,-2,-3,1]=>[1,-3,-2,4,-5]=>[1,4,5,2,3]=>[3,2]
[-5,4,-2,-3,-1]=>[-1,-3,-2,4,-5]=>[5,3,4,1,2]=>[2,2,1]
[-5,-4,2,3,1]=>[1,3,2,-4,-5]=>[1,3,2,5,4]=>[3,2]
[-5,-4,2,3,-1]=>[-1,3,2,-4,-5]=>[5,2,1,4,3]=>[2,2,1]
[-5,-4,2,-3,1]=>[1,-3,2,-4,-5]=>[1,5,2,4,3]=>[3,1,1]
[-5,-4,2,-3,-1]=>[-1,-3,2,-4,-5]=>[5,4,1,3,2]=>[2,1,1,1]
[-5,-4,-2,3,1]=>[1,3,-2,-4,-5]=>[1,2,5,4,3]=>[3,1,1]
[-5,-4,-2,3,-1]=>[-1,3,-2,-4,-5]=>[5,1,4,3,2]=>[2,1,1,1]
[-5,-4,-2,-3,1]=>[1,-3,-2,-4,-5]=>[1,4,5,3,2]=>[3,1,1]
[-5,-4,-2,-3,-1]=>[-1,-3,-2,-4,-5]=>[5,3,4,2,1]=>[2,1,1,1]
[5,4,3,1,2]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[4,1]
[5,4,3,1,-2]=>[-2,1,3,4,5]=>[5,1,2,3,4]=>[4,1]
[5,4,3,-1,2]=>[2,-1,3,4,5]=>[1,5,2,3,4]=>[4,1]
[5,4,3,-1,-2]=>[-2,-1,3,4,5]=>[4,5,1,2,3]=>[3,2]
[5,4,-3,1,2]=>[2,1,-3,4,5]=>[2,1,5,3,4]=>[3,2]
[5,4,-3,1,-2]=>[-2,1,-3,4,5]=>[5,1,4,2,3]=>[3,1,1]
[5,4,-3,-1,2]=>[2,-1,-3,4,5]=>[1,5,4,2,3]=>[3,1,1]
[5,4,-3,-1,-2]=>[-2,-1,-3,4,5]=>[4,5,3,1,2]=>[2,2,1]
[5,-4,3,1,2]=>[2,1,3,-4,5]=>[2,1,3,5,4]=>[3,2]
[5,-4,3,1,-2]=>[-2,1,3,-4,5]=>[5,1,2,4,3]=>[3,1,1]
[5,-4,3,-1,2]=>[2,-1,3,-4,5]=>[1,5,2,4,3]=>[3,1,1]
[5,-4,3,-1,-2]=>[-2,-1,3,-4,5]=>[4,5,1,3,2]=>[2,2,1]
[5,-4,-3,1,2]=>[2,1,-3,-4,5]=>[2,1,5,4,3]=>[2,2,1]
[5,-4,-3,1,-2]=>[-2,1,-3,-4,5]=>[5,1,4,3,2]=>[2,1,1,1]
[5,-4,-3,-1,2]=>[2,-1,-3,-4,5]=>[1,5,4,3,2]=>[2,1,1,1]
[5,-4,-3,-1,-2]=>[-2,-1,-3,-4,5]=>[4,5,3,2,1]=>[2,1,1,1]
[-5,4,3,1,2]=>[2,1,3,4,-5]=>[2,1,3,4,5]=>[4,1]
[-5,4,3,1,-2]=>[-2,1,3,4,-5]=>[5,1,2,3,4]=>[4,1]
[-5,4,3,-1,2]=>[2,-1,3,4,-5]=>[1,5,2,3,4]=>[4,1]
[-5,4,3,-1,-2]=>[-2,-1,3,4,-5]=>[4,5,1,2,3]=>[3,2]
[-5,4,-3,1,2]=>[2,1,-3,4,-5]=>[2,1,5,3,4]=>[3,2]
[-5,4,-3,1,-2]=>[-2,1,-3,4,-5]=>[5,1,4,2,3]=>[3,1,1]
[-5,4,-3,-1,2]=>[2,-1,-3,4,-5]=>[1,5,4,2,3]=>[3,1,1]
[-5,4,-3,-1,-2]=>[-2,-1,-3,4,-5]=>[4,5,3,1,2]=>[2,2,1]
[-5,-4,3,1,2]=>[2,1,3,-4,-5]=>[2,1,3,5,4]=>[3,2]
[-5,-4,3,1,-2]=>[-2,1,3,-4,-5]=>[5,1,2,4,3]=>[3,1,1]
[-5,-4,3,-1,2]=>[2,-1,3,-4,-5]=>[1,5,2,4,3]=>[3,1,1]
[-5,-4,3,-1,-2]=>[-2,-1,3,-4,-5]=>[4,5,1,3,2]=>[2,2,1]
[-5,-4,-3,1,2]=>[2,1,-3,-4,-5]=>[2,1,5,4,3]=>[2,2,1]
[-5,-4,-3,1,-2]=>[-2,1,-3,-4,-5]=>[5,1,4,3,2]=>[2,1,1,1]
[-5,-4,-3,-1,2]=>[2,-1,-3,-4,-5]=>[1,5,4,3,2]=>[2,1,1,1]
[-5,-4,-3,-1,-2]=>[-2,-1,-3,-4,-5]=>[4,5,3,2,1]=>[2,1,1,1]
[5,4,3,2,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5]
[5,4,3,2,-1]=>[-1,2,3,4,5]=>[5,1,2,3,4]=>[4,1]
[5,4,3,-2,1]=>[1,-2,3,4,5]=>[1,5,2,3,4]=>[4,1]
[5,4,3,-2,-1]=>[-1,-2,3,4,5]=>[5,4,1,2,3]=>[3,1,1]
[5,4,-3,2,1]=>[1,2,-3,4,5]=>[1,2,5,3,4]=>[4,1]
[5,4,-3,2,-1]=>[-1,2,-3,4,5]=>[5,1,4,2,3]=>[3,1,1]
[5,4,-3,-2,1]=>[1,-2,-3,4,5]=>[1,5,4,2,3]=>[3,1,1]
[5,4,-3,-2,-1]=>[-1,-2,-3,4,5]=>[5,4,3,1,2]=>[2,1,1,1]
[5,-4,3,2,1]=>[1,2,3,-4,5]=>[1,2,3,5,4]=>[4,1]
[5,-4,3,2,-1]=>[-1,2,3,-4,5]=>[5,1,2,4,3]=>[3,1,1]
[5,-4,3,-2,1]=>[1,-2,3,-4,5]=>[1,5,2,4,3]=>[3,1,1]
[5,-4,3,-2,-1]=>[-1,-2,3,-4,5]=>[5,4,1,3,2]=>[2,1,1,1]
[5,-4,-3,2,1]=>[1,2,-3,-4,5]=>[1,2,5,4,3]=>[3,1,1]
[5,-4,-3,2,-1]=>[-1,2,-3,-4,5]=>[5,1,4,3,2]=>[2,1,1,1]
[5,-4,-3,-2,1]=>[1,-2,-3,-4,5]=>[1,5,4,3,2]=>[2,1,1,1]
[5,-4,-3,-2,-1]=>[-1,-2,-3,-4,5]=>[5,4,3,2,1]=>[1,1,1,1,1]
[-5,4,3,2,1]=>[1,2,3,4,-5]=>[1,2,3,4,5]=>[5]
[-5,4,3,2,-1]=>[-1,2,3,4,-5]=>[5,1,2,3,4]=>[4,1]
[-5,4,3,-2,1]=>[1,-2,3,4,-5]=>[1,5,2,3,4]=>[4,1]
[-5,4,3,-2,-1]=>[-1,-2,3,4,-5]=>[5,4,1,2,3]=>[3,1,1]
[-5,4,-3,2,1]=>[1,2,-3,4,-5]=>[1,2,5,3,4]=>[4,1]
[-5,4,-3,2,-1]=>[-1,2,-3,4,-5]=>[5,1,4,2,3]=>[3,1,1]
[-5,4,-3,-2,1]=>[1,-2,-3,4,-5]=>[1,5,4,2,3]=>[3,1,1]
[-5,4,-3,-2,-1]=>[-1,-2,-3,4,-5]=>[5,4,3,1,2]=>[2,1,1,1]
[-5,-4,3,2,1]=>[1,2,3,-4,-5]=>[1,2,3,5,4]=>[4,1]
[-5,-4,3,2,-1]=>[-1,2,3,-4,-5]=>[5,1,2,4,3]=>[3,1,1]
[-5,-4,3,-2,1]=>[1,-2,3,-4,-5]=>[1,5,2,4,3]=>[3,1,1]
[-5,-4,3,-2,-1]=>[-1,-2,3,-4,-5]=>[5,4,1,3,2]=>[2,1,1,1]
[-5,-4,-3,2,1]=>[1,2,-3,-4,-5]=>[1,2,5,4,3]=>[3,1,1]
[-5,-4,-3,2,-1]=>[-1,2,-3,-4,-5]=>[5,1,4,3,2]=>[2,1,1,1]
[-5,-4,-3,-2,1]=>[1,-2,-3,-4,-5]=>[1,5,4,3,2]=>[2,1,1,1]
[-5,-4,-3,-2,-1]=>[-1,-2,-3,-4,-5]=>[5,4,3,2,1]=>[1,1,1,1,1]
Map
reverse
Description
The reversal of a signed permutation.
Map
standardize
Description
Return the standardization of the signed permutation, where 1 is the smallest and -1 the largest element.
Let $\pi\in\mathfrak H_n$ be a signed permutation. Assuming the order $1 < \dots < n < -n < \dots < -1$, this map returns the permutation in $\mathfrak S_n$ which is order isomorphic to $\pi(1),\dots,\pi(n)$.
Let $\pi\in\mathfrak H_n$ be a signed permutation. Assuming the order $1 < \dots < n < -n < \dots < -1$, this map returns the permutation in $\mathfrak S_n$ which is order isomorphic to $\pi(1),\dots,\pi(n)$.
Map
Robinson-Schensted tableau shape
Description
Sends a permutation to its Robinson-Schensted tableau shape.
The Robinson-Schensted corrspondence is a bijection between permutations of length $n$ and pairs of standard Young tableaux of the same shape and of size $n$, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to the shape of its corresponding insertion and recording tableau.
The Robinson-Schensted corrspondence is a bijection between permutations of length $n$ and pairs of standard Young tableaux of the same shape and of size $n$, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to the shape of its corresponding insertion and recording tableau.
searching the database
Sorry, this map was not found in the database.