Identifier
Mp00163:
Signed permutations
—permutation⟶
Permutations
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00108: Permutations —cycle type⟶ Integer partitions
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00108: Permutations —cycle type⟶ Integer partitions
Images
=>
Cc0002;cc-rep-3
[1]=>[1]=>[1]=>[1]
[-1]=>[1]=>[1]=>[1]
[1,2]=>[1,2]=>[1,2]=>[1,1]
[1,-2]=>[1,2]=>[1,2]=>[1,1]
[-1,2]=>[1,2]=>[1,2]=>[1,1]
[-1,-2]=>[1,2]=>[1,2]=>[1,1]
[2,1]=>[2,1]=>[2,1]=>[2]
[2,-1]=>[2,1]=>[2,1]=>[2]
[-2,1]=>[2,1]=>[2,1]=>[2]
[-2,-1]=>[2,1]=>[2,1]=>[2]
[1,2,3]=>[1,2,3]=>[1,2,3]=>[1,1,1]
[1,2,-3]=>[1,2,3]=>[1,2,3]=>[1,1,1]
[1,-2,3]=>[1,2,3]=>[1,2,3]=>[1,1,1]
[1,-2,-3]=>[1,2,3]=>[1,2,3]=>[1,1,1]
[-1,2,3]=>[1,2,3]=>[1,2,3]=>[1,1,1]
[-1,2,-3]=>[1,2,3]=>[1,2,3]=>[1,1,1]
[-1,-2,3]=>[1,2,3]=>[1,2,3]=>[1,1,1]
[-1,-2,-3]=>[1,2,3]=>[1,2,3]=>[1,1,1]
[1,3,2]=>[1,3,2]=>[1,3,2]=>[2,1]
[1,3,-2]=>[1,3,2]=>[1,3,2]=>[2,1]
[1,-3,2]=>[1,3,2]=>[1,3,2]=>[2,1]
[1,-3,-2]=>[1,3,2]=>[1,3,2]=>[2,1]
[-1,3,2]=>[1,3,2]=>[1,3,2]=>[2,1]
[-1,3,-2]=>[1,3,2]=>[1,3,2]=>[2,1]
[-1,-3,2]=>[1,3,2]=>[1,3,2]=>[2,1]
[-1,-3,-2]=>[1,3,2]=>[1,3,2]=>[2,1]
[2,1,3]=>[2,1,3]=>[2,1,3]=>[2,1]
[2,1,-3]=>[2,1,3]=>[2,1,3]=>[2,1]
[2,-1,3]=>[2,1,3]=>[2,1,3]=>[2,1]
[2,-1,-3]=>[2,1,3]=>[2,1,3]=>[2,1]
[-2,1,3]=>[2,1,3]=>[2,1,3]=>[2,1]
[-2,1,-3]=>[2,1,3]=>[2,1,3]=>[2,1]
[-2,-1,3]=>[2,1,3]=>[2,1,3]=>[2,1]
[-2,-1,-3]=>[2,1,3]=>[2,1,3]=>[2,1]
[2,3,1]=>[2,3,1]=>[3,2,1]=>[2,1]
[2,3,-1]=>[2,3,1]=>[3,2,1]=>[2,1]
[2,-3,1]=>[2,3,1]=>[3,2,1]=>[2,1]
[2,-3,-1]=>[2,3,1]=>[3,2,1]=>[2,1]
[-2,3,1]=>[2,3,1]=>[3,2,1]=>[2,1]
[-2,3,-1]=>[2,3,1]=>[3,2,1]=>[2,1]
[-2,-3,1]=>[2,3,1]=>[3,2,1]=>[2,1]
[-2,-3,-1]=>[2,3,1]=>[3,2,1]=>[2,1]
[3,1,2]=>[3,1,2]=>[3,1,2]=>[3]
[3,1,-2]=>[3,1,2]=>[3,1,2]=>[3]
[3,-1,2]=>[3,1,2]=>[3,1,2]=>[3]
[3,-1,-2]=>[3,1,2]=>[3,1,2]=>[3]
[-3,1,2]=>[3,1,2]=>[3,1,2]=>[3]
[-3,1,-2]=>[3,1,2]=>[3,1,2]=>[3]
[-3,-1,2]=>[3,1,2]=>[3,1,2]=>[3]
[-3,-1,-2]=>[3,1,2]=>[3,1,2]=>[3]
[3,2,1]=>[3,2,1]=>[2,3,1]=>[3]
[3,2,-1]=>[3,2,1]=>[2,3,1]=>[3]
[3,-2,1]=>[3,2,1]=>[2,3,1]=>[3]
[3,-2,-1]=>[3,2,1]=>[2,3,1]=>[3]
[-3,2,1]=>[3,2,1]=>[2,3,1]=>[3]
[-3,2,-1]=>[3,2,1]=>[2,3,1]=>[3]
[-3,-2,1]=>[3,2,1]=>[2,3,1]=>[3]
[-3,-2,-1]=>[3,2,1]=>[2,3,1]=>[3]
[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>[1,1,1,1]
[1,2,3,-4]=>[1,2,3,4]=>[1,2,3,4]=>[1,1,1,1]
[1,2,-3,4]=>[1,2,3,4]=>[1,2,3,4]=>[1,1,1,1]
[1,2,-3,-4]=>[1,2,3,4]=>[1,2,3,4]=>[1,1,1,1]
[1,-2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>[1,1,1,1]
[1,-2,3,-4]=>[1,2,3,4]=>[1,2,3,4]=>[1,1,1,1]
[1,-2,-3,4]=>[1,2,3,4]=>[1,2,3,4]=>[1,1,1,1]
[1,-2,-3,-4]=>[1,2,3,4]=>[1,2,3,4]=>[1,1,1,1]
[-1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>[1,1,1,1]
[-1,2,3,-4]=>[1,2,3,4]=>[1,2,3,4]=>[1,1,1,1]
[-1,2,-3,4]=>[1,2,3,4]=>[1,2,3,4]=>[1,1,1,1]
[-1,2,-3,-4]=>[1,2,3,4]=>[1,2,3,4]=>[1,1,1,1]
[-1,-2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>[1,1,1,1]
[-1,-2,3,-4]=>[1,2,3,4]=>[1,2,3,4]=>[1,1,1,1]
[-1,-2,-3,4]=>[1,2,3,4]=>[1,2,3,4]=>[1,1,1,1]
[-1,-2,-3,-4]=>[1,2,3,4]=>[1,2,3,4]=>[1,1,1,1]
[1,2,4,3]=>[1,2,4,3]=>[1,2,4,3]=>[2,1,1]
[1,2,4,-3]=>[1,2,4,3]=>[1,2,4,3]=>[2,1,1]
[1,2,-4,3]=>[1,2,4,3]=>[1,2,4,3]=>[2,1,1]
[1,2,-4,-3]=>[1,2,4,3]=>[1,2,4,3]=>[2,1,1]
[1,-2,4,3]=>[1,2,4,3]=>[1,2,4,3]=>[2,1,1]
[1,-2,4,-3]=>[1,2,4,3]=>[1,2,4,3]=>[2,1,1]
[1,-2,-4,3]=>[1,2,4,3]=>[1,2,4,3]=>[2,1,1]
[1,-2,-4,-3]=>[1,2,4,3]=>[1,2,4,3]=>[2,1,1]
[-1,2,4,3]=>[1,2,4,3]=>[1,2,4,3]=>[2,1,1]
[-1,2,4,-3]=>[1,2,4,3]=>[1,2,4,3]=>[2,1,1]
[-1,2,-4,3]=>[1,2,4,3]=>[1,2,4,3]=>[2,1,1]
[-1,2,-4,-3]=>[1,2,4,3]=>[1,2,4,3]=>[2,1,1]
[-1,-2,4,3]=>[1,2,4,3]=>[1,2,4,3]=>[2,1,1]
[-1,-2,4,-3]=>[1,2,4,3]=>[1,2,4,3]=>[2,1,1]
[-1,-2,-4,3]=>[1,2,4,3]=>[1,2,4,3]=>[2,1,1]
[-1,-2,-4,-3]=>[1,2,4,3]=>[1,2,4,3]=>[2,1,1]
[1,3,2,4]=>[1,3,2,4]=>[1,3,2,4]=>[2,1,1]
[1,3,2,-4]=>[1,3,2,4]=>[1,3,2,4]=>[2,1,1]
[1,3,-2,4]=>[1,3,2,4]=>[1,3,2,4]=>[2,1,1]
[1,3,-2,-4]=>[1,3,2,4]=>[1,3,2,4]=>[2,1,1]
[1,-3,2,4]=>[1,3,2,4]=>[1,3,2,4]=>[2,1,1]
[1,-3,2,-4]=>[1,3,2,4]=>[1,3,2,4]=>[2,1,1]
[1,-3,-2,4]=>[1,3,2,4]=>[1,3,2,4]=>[2,1,1]
[1,-3,-2,-4]=>[1,3,2,4]=>[1,3,2,4]=>[2,1,1]
[-1,3,2,4]=>[1,3,2,4]=>[1,3,2,4]=>[2,1,1]
[-1,3,2,-4]=>[1,3,2,4]=>[1,3,2,4]=>[2,1,1]
[-1,3,-2,4]=>[1,3,2,4]=>[1,3,2,4]=>[2,1,1]
[-1,3,-2,-4]=>[1,3,2,4]=>[1,3,2,4]=>[2,1,1]
[-1,-3,2,4]=>[1,3,2,4]=>[1,3,2,4]=>[2,1,1]
[-1,-3,2,-4]=>[1,3,2,4]=>[1,3,2,4]=>[2,1,1]
[-1,-3,-2,4]=>[1,3,2,4]=>[1,3,2,4]=>[2,1,1]
[-1,-3,-2,-4]=>[1,3,2,4]=>[1,3,2,4]=>[2,1,1]
[1,3,4,2]=>[1,3,4,2]=>[1,4,3,2]=>[2,1,1]
[1,3,4,-2]=>[1,3,4,2]=>[1,4,3,2]=>[2,1,1]
[1,3,-4,2]=>[1,3,4,2]=>[1,4,3,2]=>[2,1,1]
[1,3,-4,-2]=>[1,3,4,2]=>[1,4,3,2]=>[2,1,1]
[1,-3,4,2]=>[1,3,4,2]=>[1,4,3,2]=>[2,1,1]
[1,-3,4,-2]=>[1,3,4,2]=>[1,4,3,2]=>[2,1,1]
[1,-3,-4,2]=>[1,3,4,2]=>[1,4,3,2]=>[2,1,1]
[1,-3,-4,-2]=>[1,3,4,2]=>[1,4,3,2]=>[2,1,1]
[-1,3,4,2]=>[1,3,4,2]=>[1,4,3,2]=>[2,1,1]
[-1,3,4,-2]=>[1,3,4,2]=>[1,4,3,2]=>[2,1,1]
[-1,3,-4,2]=>[1,3,4,2]=>[1,4,3,2]=>[2,1,1]
[-1,3,-4,-2]=>[1,3,4,2]=>[1,4,3,2]=>[2,1,1]
[-1,-3,4,2]=>[1,3,4,2]=>[1,4,3,2]=>[2,1,1]
[-1,-3,4,-2]=>[1,3,4,2]=>[1,4,3,2]=>[2,1,1]
[-1,-3,-4,2]=>[1,3,4,2]=>[1,4,3,2]=>[2,1,1]
[-1,-3,-4,-2]=>[1,3,4,2]=>[1,4,3,2]=>[2,1,1]
[1,4,2,3]=>[1,4,2,3]=>[1,4,2,3]=>[3,1]
[1,4,2,-3]=>[1,4,2,3]=>[1,4,2,3]=>[3,1]
[1,4,-2,3]=>[1,4,2,3]=>[1,4,2,3]=>[3,1]
[1,4,-2,-3]=>[1,4,2,3]=>[1,4,2,3]=>[3,1]
[1,-4,2,3]=>[1,4,2,3]=>[1,4,2,3]=>[3,1]
[1,-4,2,-3]=>[1,4,2,3]=>[1,4,2,3]=>[3,1]
[1,-4,-2,3]=>[1,4,2,3]=>[1,4,2,3]=>[3,1]
[1,-4,-2,-3]=>[1,4,2,3]=>[1,4,2,3]=>[3,1]
[-1,4,2,3]=>[1,4,2,3]=>[1,4,2,3]=>[3,1]
[-1,4,2,-3]=>[1,4,2,3]=>[1,4,2,3]=>[3,1]
[-1,4,-2,3]=>[1,4,2,3]=>[1,4,2,3]=>[3,1]
[-1,4,-2,-3]=>[1,4,2,3]=>[1,4,2,3]=>[3,1]
[-1,-4,2,3]=>[1,4,2,3]=>[1,4,2,3]=>[3,1]
[-1,-4,2,-3]=>[1,4,2,3]=>[1,4,2,3]=>[3,1]
[-1,-4,-2,3]=>[1,4,2,3]=>[1,4,2,3]=>[3,1]
[-1,-4,-2,-3]=>[1,4,2,3]=>[1,4,2,3]=>[3,1]
[1,4,3,2]=>[1,4,3,2]=>[1,3,4,2]=>[3,1]
[1,4,3,-2]=>[1,4,3,2]=>[1,3,4,2]=>[3,1]
[1,4,-3,2]=>[1,4,3,2]=>[1,3,4,2]=>[3,1]
[1,4,-3,-2]=>[1,4,3,2]=>[1,3,4,2]=>[3,1]
[1,-4,3,2]=>[1,4,3,2]=>[1,3,4,2]=>[3,1]
[1,-4,3,-2]=>[1,4,3,2]=>[1,3,4,2]=>[3,1]
[1,-4,-3,2]=>[1,4,3,2]=>[1,3,4,2]=>[3,1]
[1,-4,-3,-2]=>[1,4,3,2]=>[1,3,4,2]=>[3,1]
[-1,4,3,2]=>[1,4,3,2]=>[1,3,4,2]=>[3,1]
[-1,4,3,-2]=>[1,4,3,2]=>[1,3,4,2]=>[3,1]
[-1,4,-3,2]=>[1,4,3,2]=>[1,3,4,2]=>[3,1]
[-1,4,-3,-2]=>[1,4,3,2]=>[1,3,4,2]=>[3,1]
[-1,-4,3,2]=>[1,4,3,2]=>[1,3,4,2]=>[3,1]
[-1,-4,3,-2]=>[1,4,3,2]=>[1,3,4,2]=>[3,1]
[-1,-4,-3,2]=>[1,4,3,2]=>[1,3,4,2]=>[3,1]
[-1,-4,-3,-2]=>[1,4,3,2]=>[1,3,4,2]=>[3,1]
[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,1]
[2,1,3,-4]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,1]
[2,1,-3,4]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,1]
[2,1,-3,-4]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,1]
[2,-1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,1]
[2,-1,3,-4]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,1]
[2,-1,-3,4]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,1]
[2,-1,-3,-4]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,1]
[-2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,1]
[-2,1,3,-4]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,1]
[-2,1,-3,4]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,1]
[-2,1,-3,-4]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,1]
[-2,-1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,1]
[-2,-1,3,-4]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,1]
[-2,-1,-3,4]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,1]
[-2,-1,-3,-4]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,1]
[2,1,4,3]=>[2,1,4,3]=>[2,1,4,3]=>[2,2]
[2,1,4,-3]=>[2,1,4,3]=>[2,1,4,3]=>[2,2]
[2,1,-4,3]=>[2,1,4,3]=>[2,1,4,3]=>[2,2]
[2,1,-4,-3]=>[2,1,4,3]=>[2,1,4,3]=>[2,2]
[2,-1,4,3]=>[2,1,4,3]=>[2,1,4,3]=>[2,2]
[2,-1,4,-3]=>[2,1,4,3]=>[2,1,4,3]=>[2,2]
[2,-1,-4,3]=>[2,1,4,3]=>[2,1,4,3]=>[2,2]
[2,-1,-4,-3]=>[2,1,4,3]=>[2,1,4,3]=>[2,2]
[-2,1,4,3]=>[2,1,4,3]=>[2,1,4,3]=>[2,2]
[-2,1,4,-3]=>[2,1,4,3]=>[2,1,4,3]=>[2,2]
[-2,1,-4,3]=>[2,1,4,3]=>[2,1,4,3]=>[2,2]
[-2,1,-4,-3]=>[2,1,4,3]=>[2,1,4,3]=>[2,2]
[-2,-1,4,3]=>[2,1,4,3]=>[2,1,4,3]=>[2,2]
[-2,-1,4,-3]=>[2,1,4,3]=>[2,1,4,3]=>[2,2]
[-2,-1,-4,3]=>[2,1,4,3]=>[2,1,4,3]=>[2,2]
[-2,-1,-4,-3]=>[2,1,4,3]=>[2,1,4,3]=>[2,2]
[2,3,1,4]=>[2,3,1,4]=>[3,2,1,4]=>[2,1,1]
[2,3,1,-4]=>[2,3,1,4]=>[3,2,1,4]=>[2,1,1]
[2,3,-1,4]=>[2,3,1,4]=>[3,2,1,4]=>[2,1,1]
[2,3,-1,-4]=>[2,3,1,4]=>[3,2,1,4]=>[2,1,1]
[2,-3,1,4]=>[2,3,1,4]=>[3,2,1,4]=>[2,1,1]
[2,-3,1,-4]=>[2,3,1,4]=>[3,2,1,4]=>[2,1,1]
[2,-3,-1,4]=>[2,3,1,4]=>[3,2,1,4]=>[2,1,1]
[2,-3,-1,-4]=>[2,3,1,4]=>[3,2,1,4]=>[2,1,1]
[-2,3,1,4]=>[2,3,1,4]=>[3,2,1,4]=>[2,1,1]
[-2,3,1,-4]=>[2,3,1,4]=>[3,2,1,4]=>[2,1,1]
[-2,3,-1,4]=>[2,3,1,4]=>[3,2,1,4]=>[2,1,1]
[-2,3,-1,-4]=>[2,3,1,4]=>[3,2,1,4]=>[2,1,1]
[-2,-3,1,4]=>[2,3,1,4]=>[3,2,1,4]=>[2,1,1]
[-2,-3,1,-4]=>[2,3,1,4]=>[3,2,1,4]=>[2,1,1]
[-2,-3,-1,4]=>[2,3,1,4]=>[3,2,1,4]=>[2,1,1]
[-2,-3,-1,-4]=>[2,3,1,4]=>[3,2,1,4]=>[2,1,1]
[2,3,4,1]=>[2,3,4,1]=>[4,2,3,1]=>[2,1,1]
[2,3,4,-1]=>[2,3,4,1]=>[4,2,3,1]=>[2,1,1]
[2,3,-4,1]=>[2,3,4,1]=>[4,2,3,1]=>[2,1,1]
[2,3,-4,-1]=>[2,3,4,1]=>[4,2,3,1]=>[2,1,1]
[2,-3,4,1]=>[2,3,4,1]=>[4,2,3,1]=>[2,1,1]
[2,-3,4,-1]=>[2,3,4,1]=>[4,2,3,1]=>[2,1,1]
[2,-3,-4,1]=>[2,3,4,1]=>[4,2,3,1]=>[2,1,1]
[2,-3,-4,-1]=>[2,3,4,1]=>[4,2,3,1]=>[2,1,1]
[-2,3,4,1]=>[2,3,4,1]=>[4,2,3,1]=>[2,1,1]
[-2,3,4,-1]=>[2,3,4,1]=>[4,2,3,1]=>[2,1,1]
[-2,3,-4,1]=>[2,3,4,1]=>[4,2,3,1]=>[2,1,1]
[-2,3,-4,-1]=>[2,3,4,1]=>[4,2,3,1]=>[2,1,1]
[-2,-3,4,1]=>[2,3,4,1]=>[4,2,3,1]=>[2,1,1]
[-2,-3,4,-1]=>[2,3,4,1]=>[4,2,3,1]=>[2,1,1]
[-2,-3,-4,1]=>[2,3,4,1]=>[4,2,3,1]=>[2,1,1]
[-2,-3,-4,-1]=>[2,3,4,1]=>[4,2,3,1]=>[2,1,1]
[2,4,1,3]=>[2,4,1,3]=>[4,2,1,3]=>[3,1]
[2,4,1,-3]=>[2,4,1,3]=>[4,2,1,3]=>[3,1]
[2,4,-1,3]=>[2,4,1,3]=>[4,2,1,3]=>[3,1]
[2,4,-1,-3]=>[2,4,1,3]=>[4,2,1,3]=>[3,1]
[2,-4,1,3]=>[2,4,1,3]=>[4,2,1,3]=>[3,1]
[2,-4,1,-3]=>[2,4,1,3]=>[4,2,1,3]=>[3,1]
[2,-4,-1,3]=>[2,4,1,3]=>[4,2,1,3]=>[3,1]
[2,-4,-1,-3]=>[2,4,1,3]=>[4,2,1,3]=>[3,1]
[-2,4,1,3]=>[2,4,1,3]=>[4,2,1,3]=>[3,1]
[-2,4,1,-3]=>[2,4,1,3]=>[4,2,1,3]=>[3,1]
[-2,4,-1,3]=>[2,4,1,3]=>[4,2,1,3]=>[3,1]
[-2,4,-1,-3]=>[2,4,1,3]=>[4,2,1,3]=>[3,1]
[-2,-4,1,3]=>[2,4,1,3]=>[4,2,1,3]=>[3,1]
[-2,-4,1,-3]=>[2,4,1,3]=>[4,2,1,3]=>[3,1]
[-2,-4,-1,3]=>[2,4,1,3]=>[4,2,1,3]=>[3,1]
[-2,-4,-1,-3]=>[2,4,1,3]=>[4,2,1,3]=>[3,1]
[2,4,3,1]=>[2,4,3,1]=>[3,2,4,1]=>[3,1]
[2,4,3,-1]=>[2,4,3,1]=>[3,2,4,1]=>[3,1]
[2,4,-3,1]=>[2,4,3,1]=>[3,2,4,1]=>[3,1]
[2,4,-3,-1]=>[2,4,3,1]=>[3,2,4,1]=>[3,1]
[2,-4,3,1]=>[2,4,3,1]=>[3,2,4,1]=>[3,1]
[2,-4,3,-1]=>[2,4,3,1]=>[3,2,4,1]=>[3,1]
[2,-4,-3,1]=>[2,4,3,1]=>[3,2,4,1]=>[3,1]
[2,-4,-3,-1]=>[2,4,3,1]=>[3,2,4,1]=>[3,1]
[-2,4,3,1]=>[2,4,3,1]=>[3,2,4,1]=>[3,1]
[-2,4,3,-1]=>[2,4,3,1]=>[3,2,4,1]=>[3,1]
[-2,4,-3,1]=>[2,4,3,1]=>[3,2,4,1]=>[3,1]
[-2,4,-3,-1]=>[2,4,3,1]=>[3,2,4,1]=>[3,1]
[-2,-4,3,1]=>[2,4,3,1]=>[3,2,4,1]=>[3,1]
[-2,-4,3,-1]=>[2,4,3,1]=>[3,2,4,1]=>[3,1]
[-2,-4,-3,1]=>[2,4,3,1]=>[3,2,4,1]=>[3,1]
[-2,-4,-3,-1]=>[2,4,3,1]=>[3,2,4,1]=>[3,1]
[3,1,2,4]=>[3,1,2,4]=>[3,1,2,4]=>[3,1]
[3,1,2,-4]=>[3,1,2,4]=>[3,1,2,4]=>[3,1]
[3,1,-2,4]=>[3,1,2,4]=>[3,1,2,4]=>[3,1]
[3,1,-2,-4]=>[3,1,2,4]=>[3,1,2,4]=>[3,1]
[3,-1,2,4]=>[3,1,2,4]=>[3,1,2,4]=>[3,1]
[3,-1,2,-4]=>[3,1,2,4]=>[3,1,2,4]=>[3,1]
[3,-1,-2,4]=>[3,1,2,4]=>[3,1,2,4]=>[3,1]
[3,-1,-2,-4]=>[3,1,2,4]=>[3,1,2,4]=>[3,1]
[-3,1,2,4]=>[3,1,2,4]=>[3,1,2,4]=>[3,1]
[-3,1,2,-4]=>[3,1,2,4]=>[3,1,2,4]=>[3,1]
[-3,1,-2,4]=>[3,1,2,4]=>[3,1,2,4]=>[3,1]
[-3,1,-2,-4]=>[3,1,2,4]=>[3,1,2,4]=>[3,1]
[-3,-1,2,4]=>[3,1,2,4]=>[3,1,2,4]=>[3,1]
[-3,-1,2,-4]=>[3,1,2,4]=>[3,1,2,4]=>[3,1]
[-3,-1,-2,4]=>[3,1,2,4]=>[3,1,2,4]=>[3,1]
[-3,-1,-2,-4]=>[3,1,2,4]=>[3,1,2,4]=>[3,1]
[3,1,4,2]=>[3,1,4,2]=>[3,4,1,2]=>[2,2]
[3,1,4,-2]=>[3,1,4,2]=>[3,4,1,2]=>[2,2]
[3,1,-4,2]=>[3,1,4,2]=>[3,4,1,2]=>[2,2]
[3,1,-4,-2]=>[3,1,4,2]=>[3,4,1,2]=>[2,2]
[3,-1,4,2]=>[3,1,4,2]=>[3,4,1,2]=>[2,2]
[3,-1,4,-2]=>[3,1,4,2]=>[3,4,1,2]=>[2,2]
[3,-1,-4,2]=>[3,1,4,2]=>[3,4,1,2]=>[2,2]
[3,-1,-4,-2]=>[3,1,4,2]=>[3,4,1,2]=>[2,2]
[-3,1,4,2]=>[3,1,4,2]=>[3,4,1,2]=>[2,2]
[-3,1,4,-2]=>[3,1,4,2]=>[3,4,1,2]=>[2,2]
[-3,1,-4,2]=>[3,1,4,2]=>[3,4,1,2]=>[2,2]
[-3,1,-4,-2]=>[3,1,4,2]=>[3,4,1,2]=>[2,2]
[-3,-1,4,2]=>[3,1,4,2]=>[3,4,1,2]=>[2,2]
[-3,-1,4,-2]=>[3,1,4,2]=>[3,4,1,2]=>[2,2]
[-3,-1,-4,2]=>[3,1,4,2]=>[3,4,1,2]=>[2,2]
[-3,-1,-4,-2]=>[3,1,4,2]=>[3,4,1,2]=>[2,2]
[3,2,1,4]=>[3,2,1,4]=>[2,3,1,4]=>[3,1]
[3,2,1,-4]=>[3,2,1,4]=>[2,3,1,4]=>[3,1]
[3,2,-1,4]=>[3,2,1,4]=>[2,3,1,4]=>[3,1]
[3,2,-1,-4]=>[3,2,1,4]=>[2,3,1,4]=>[3,1]
[3,-2,1,4]=>[3,2,1,4]=>[2,3,1,4]=>[3,1]
[3,-2,1,-4]=>[3,2,1,4]=>[2,3,1,4]=>[3,1]
[3,-2,-1,4]=>[3,2,1,4]=>[2,3,1,4]=>[3,1]
[3,-2,-1,-4]=>[3,2,1,4]=>[2,3,1,4]=>[3,1]
[-3,2,1,4]=>[3,2,1,4]=>[2,3,1,4]=>[3,1]
[-3,2,1,-4]=>[3,2,1,4]=>[2,3,1,4]=>[3,1]
[-3,2,-1,4]=>[3,2,1,4]=>[2,3,1,4]=>[3,1]
[-3,2,-1,-4]=>[3,2,1,4]=>[2,3,1,4]=>[3,1]
[-3,-2,1,4]=>[3,2,1,4]=>[2,3,1,4]=>[3,1]
[-3,-2,1,-4]=>[3,2,1,4]=>[2,3,1,4]=>[3,1]
[-3,-2,-1,4]=>[3,2,1,4]=>[2,3,1,4]=>[3,1]
[-3,-2,-1,-4]=>[3,2,1,4]=>[2,3,1,4]=>[3,1]
[3,2,4,1]=>[3,2,4,1]=>[4,3,2,1]=>[2,2]
[3,2,4,-1]=>[3,2,4,1]=>[4,3,2,1]=>[2,2]
[3,2,-4,1]=>[3,2,4,1]=>[4,3,2,1]=>[2,2]
[3,2,-4,-1]=>[3,2,4,1]=>[4,3,2,1]=>[2,2]
[3,-2,4,1]=>[3,2,4,1]=>[4,3,2,1]=>[2,2]
[3,-2,4,-1]=>[3,2,4,1]=>[4,3,2,1]=>[2,2]
[3,-2,-4,1]=>[3,2,4,1]=>[4,3,2,1]=>[2,2]
[3,-2,-4,-1]=>[3,2,4,1]=>[4,3,2,1]=>[2,2]
[-3,2,4,1]=>[3,2,4,1]=>[4,3,2,1]=>[2,2]
[-3,2,4,-1]=>[3,2,4,1]=>[4,3,2,1]=>[2,2]
[-3,2,-4,1]=>[3,2,4,1]=>[4,3,2,1]=>[2,2]
[-3,2,-4,-1]=>[3,2,4,1]=>[4,3,2,1]=>[2,2]
[-3,-2,4,1]=>[3,2,4,1]=>[4,3,2,1]=>[2,2]
[-3,-2,4,-1]=>[3,2,4,1]=>[4,3,2,1]=>[2,2]
[-3,-2,-4,1]=>[3,2,4,1]=>[4,3,2,1]=>[2,2]
[-3,-2,-4,-1]=>[3,2,4,1]=>[4,3,2,1]=>[2,2]
[3,4,1,2]=>[3,4,1,2]=>[4,1,3,2]=>[3,1]
[3,4,1,-2]=>[3,4,1,2]=>[4,1,3,2]=>[3,1]
[3,4,-1,2]=>[3,4,1,2]=>[4,1,3,2]=>[3,1]
[3,4,-1,-2]=>[3,4,1,2]=>[4,1,3,2]=>[3,1]
[3,-4,1,2]=>[3,4,1,2]=>[4,1,3,2]=>[3,1]
[3,-4,1,-2]=>[3,4,1,2]=>[4,1,3,2]=>[3,1]
[3,-4,-1,2]=>[3,4,1,2]=>[4,1,3,2]=>[3,1]
[3,-4,-1,-2]=>[3,4,1,2]=>[4,1,3,2]=>[3,1]
[-3,4,1,2]=>[3,4,1,2]=>[4,1,3,2]=>[3,1]
[-3,4,1,-2]=>[3,4,1,2]=>[4,1,3,2]=>[3,1]
[-3,4,-1,2]=>[3,4,1,2]=>[4,1,3,2]=>[3,1]
[-3,4,-1,-2]=>[3,4,1,2]=>[4,1,3,2]=>[3,1]
[-3,-4,1,2]=>[3,4,1,2]=>[4,1,3,2]=>[3,1]
[-3,-4,1,-2]=>[3,4,1,2]=>[4,1,3,2]=>[3,1]
[-3,-4,-1,2]=>[3,4,1,2]=>[4,1,3,2]=>[3,1]
[-3,-4,-1,-2]=>[3,4,1,2]=>[4,1,3,2]=>[3,1]
[3,4,2,1]=>[3,4,2,1]=>[2,4,3,1]=>[3,1]
[3,4,2,-1]=>[3,4,2,1]=>[2,4,3,1]=>[3,1]
[3,4,-2,1]=>[3,4,2,1]=>[2,4,3,1]=>[3,1]
[3,4,-2,-1]=>[3,4,2,1]=>[2,4,3,1]=>[3,1]
[3,-4,2,1]=>[3,4,2,1]=>[2,4,3,1]=>[3,1]
[3,-4,2,-1]=>[3,4,2,1]=>[2,4,3,1]=>[3,1]
[3,-4,-2,1]=>[3,4,2,1]=>[2,4,3,1]=>[3,1]
[3,-4,-2,-1]=>[3,4,2,1]=>[2,4,3,1]=>[3,1]
[-3,4,2,1]=>[3,4,2,1]=>[2,4,3,1]=>[3,1]
[-3,4,2,-1]=>[3,4,2,1]=>[2,4,3,1]=>[3,1]
[-3,4,-2,1]=>[3,4,2,1]=>[2,4,3,1]=>[3,1]
[-3,4,-2,-1]=>[3,4,2,1]=>[2,4,3,1]=>[3,1]
[-3,-4,2,1]=>[3,4,2,1]=>[2,4,3,1]=>[3,1]
[-3,-4,2,-1]=>[3,4,2,1]=>[2,4,3,1]=>[3,1]
[-3,-4,-2,1]=>[3,4,2,1]=>[2,4,3,1]=>[3,1]
[-3,-4,-2,-1]=>[3,4,2,1]=>[2,4,3,1]=>[3,1]
[4,1,2,3]=>[4,1,2,3]=>[4,1,2,3]=>[4]
[4,1,2,-3]=>[4,1,2,3]=>[4,1,2,3]=>[4]
[4,1,-2,3]=>[4,1,2,3]=>[4,1,2,3]=>[4]
[4,1,-2,-3]=>[4,1,2,3]=>[4,1,2,3]=>[4]
[4,-1,2,3]=>[4,1,2,3]=>[4,1,2,3]=>[4]
[4,-1,2,-3]=>[4,1,2,3]=>[4,1,2,3]=>[4]
[4,-1,-2,3]=>[4,1,2,3]=>[4,1,2,3]=>[4]
[4,-1,-2,-3]=>[4,1,2,3]=>[4,1,2,3]=>[4]
[-4,1,2,3]=>[4,1,2,3]=>[4,1,2,3]=>[4]
[-4,1,2,-3]=>[4,1,2,3]=>[4,1,2,3]=>[4]
[-4,1,-2,3]=>[4,1,2,3]=>[4,1,2,3]=>[4]
[-4,1,-2,-3]=>[4,1,2,3]=>[4,1,2,3]=>[4]
[-4,-1,2,3]=>[4,1,2,3]=>[4,1,2,3]=>[4]
[-4,-1,2,-3]=>[4,1,2,3]=>[4,1,2,3]=>[4]
[-4,-1,-2,3]=>[4,1,2,3]=>[4,1,2,3]=>[4]
[-4,-1,-2,-3]=>[4,1,2,3]=>[4,1,2,3]=>[4]
[4,1,3,2]=>[4,1,3,2]=>[4,3,1,2]=>[4]
[4,1,3,-2]=>[4,1,3,2]=>[4,3,1,2]=>[4]
[4,1,-3,2]=>[4,1,3,2]=>[4,3,1,2]=>[4]
[4,1,-3,-2]=>[4,1,3,2]=>[4,3,1,2]=>[4]
[4,-1,3,2]=>[4,1,3,2]=>[4,3,1,2]=>[4]
[4,-1,3,-2]=>[4,1,3,2]=>[4,3,1,2]=>[4]
[4,-1,-3,2]=>[4,1,3,2]=>[4,3,1,2]=>[4]
[4,-1,-3,-2]=>[4,1,3,2]=>[4,3,1,2]=>[4]
[-4,1,3,2]=>[4,1,3,2]=>[4,3,1,2]=>[4]
[-4,1,3,-2]=>[4,1,3,2]=>[4,3,1,2]=>[4]
[-4,1,-3,2]=>[4,1,3,2]=>[4,3,1,2]=>[4]
[-4,1,-3,-2]=>[4,1,3,2]=>[4,3,1,2]=>[4]
[-4,-1,3,2]=>[4,1,3,2]=>[4,3,1,2]=>[4]
[-4,-1,3,-2]=>[4,1,3,2]=>[4,3,1,2]=>[4]
[-4,-1,-3,2]=>[4,1,3,2]=>[4,3,1,2]=>[4]
[-4,-1,-3,-2]=>[4,1,3,2]=>[4,3,1,2]=>[4]
[4,2,1,3]=>[4,2,1,3]=>[2,4,1,3]=>[4]
[4,2,1,-3]=>[4,2,1,3]=>[2,4,1,3]=>[4]
[4,2,-1,3]=>[4,2,1,3]=>[2,4,1,3]=>[4]
[4,2,-1,-3]=>[4,2,1,3]=>[2,4,1,3]=>[4]
[4,-2,1,3]=>[4,2,1,3]=>[2,4,1,3]=>[4]
[4,-2,1,-3]=>[4,2,1,3]=>[2,4,1,3]=>[4]
[4,-2,-1,3]=>[4,2,1,3]=>[2,4,1,3]=>[4]
[4,-2,-1,-3]=>[4,2,1,3]=>[2,4,1,3]=>[4]
[-4,2,1,3]=>[4,2,1,3]=>[2,4,1,3]=>[4]
[-4,2,1,-3]=>[4,2,1,3]=>[2,4,1,3]=>[4]
[-4,2,-1,3]=>[4,2,1,3]=>[2,4,1,3]=>[4]
[-4,2,-1,-3]=>[4,2,1,3]=>[2,4,1,3]=>[4]
[-4,-2,1,3]=>[4,2,1,3]=>[2,4,1,3]=>[4]
[-4,-2,1,-3]=>[4,2,1,3]=>[2,4,1,3]=>[4]
[-4,-2,-1,3]=>[4,2,1,3]=>[2,4,1,3]=>[4]
[-4,-2,-1,-3]=>[4,2,1,3]=>[2,4,1,3]=>[4]
[4,2,3,1]=>[4,2,3,1]=>[3,4,2,1]=>[4]
[4,2,3,-1]=>[4,2,3,1]=>[3,4,2,1]=>[4]
[4,2,-3,1]=>[4,2,3,1]=>[3,4,2,1]=>[4]
[4,2,-3,-1]=>[4,2,3,1]=>[3,4,2,1]=>[4]
[4,-2,3,1]=>[4,2,3,1]=>[3,4,2,1]=>[4]
[4,-2,3,-1]=>[4,2,3,1]=>[3,4,2,1]=>[4]
[4,-2,-3,1]=>[4,2,3,1]=>[3,4,2,1]=>[4]
[4,-2,-3,-1]=>[4,2,3,1]=>[3,4,2,1]=>[4]
[-4,2,3,1]=>[4,2,3,1]=>[3,4,2,1]=>[4]
[-4,2,3,-1]=>[4,2,3,1]=>[3,4,2,1]=>[4]
[-4,2,-3,1]=>[4,2,3,1]=>[3,4,2,1]=>[4]
[-4,2,-3,-1]=>[4,2,3,1]=>[3,4,2,1]=>[4]
[-4,-2,3,1]=>[4,2,3,1]=>[3,4,2,1]=>[4]
[-4,-2,3,-1]=>[4,2,3,1]=>[3,4,2,1]=>[4]
[-4,-2,-3,1]=>[4,2,3,1]=>[3,4,2,1]=>[4]
[-4,-2,-3,-1]=>[4,2,3,1]=>[3,4,2,1]=>[4]
[4,3,1,2]=>[4,3,1,2]=>[3,1,4,2]=>[4]
[4,3,1,-2]=>[4,3,1,2]=>[3,1,4,2]=>[4]
[4,3,-1,2]=>[4,3,1,2]=>[3,1,4,2]=>[4]
[4,3,-1,-2]=>[4,3,1,2]=>[3,1,4,2]=>[4]
[4,-3,1,2]=>[4,3,1,2]=>[3,1,4,2]=>[4]
[4,-3,1,-2]=>[4,3,1,2]=>[3,1,4,2]=>[4]
[4,-3,-1,2]=>[4,3,1,2]=>[3,1,4,2]=>[4]
[4,-3,-1,-2]=>[4,3,1,2]=>[3,1,4,2]=>[4]
[-4,3,1,2]=>[4,3,1,2]=>[3,1,4,2]=>[4]
[-4,3,1,-2]=>[4,3,1,2]=>[3,1,4,2]=>[4]
[-4,3,-1,2]=>[4,3,1,2]=>[3,1,4,2]=>[4]
[-4,3,-1,-2]=>[4,3,1,2]=>[3,1,4,2]=>[4]
[-4,-3,1,2]=>[4,3,1,2]=>[3,1,4,2]=>[4]
[-4,-3,1,-2]=>[4,3,1,2]=>[3,1,4,2]=>[4]
[-4,-3,-1,2]=>[4,3,1,2]=>[3,1,4,2]=>[4]
[-4,-3,-1,-2]=>[4,3,1,2]=>[3,1,4,2]=>[4]
[4,3,2,1]=>[4,3,2,1]=>[2,3,4,1]=>[4]
[4,3,2,-1]=>[4,3,2,1]=>[2,3,4,1]=>[4]
[4,3,-2,1]=>[4,3,2,1]=>[2,3,4,1]=>[4]
[4,3,-2,-1]=>[4,3,2,1]=>[2,3,4,1]=>[4]
[4,-3,2,1]=>[4,3,2,1]=>[2,3,4,1]=>[4]
[4,-3,2,-1]=>[4,3,2,1]=>[2,3,4,1]=>[4]
[4,-3,-2,1]=>[4,3,2,1]=>[2,3,4,1]=>[4]
[4,-3,-2,-1]=>[4,3,2,1]=>[2,3,4,1]=>[4]
[-4,3,2,1]=>[4,3,2,1]=>[2,3,4,1]=>[4]
[-4,3,2,-1]=>[4,3,2,1]=>[2,3,4,1]=>[4]
[-4,3,-2,1]=>[4,3,2,1]=>[2,3,4,1]=>[4]
[-4,3,-2,-1]=>[4,3,2,1]=>[2,3,4,1]=>[4]
[-4,-3,2,1]=>[4,3,2,1]=>[2,3,4,1]=>[4]
[-4,-3,2,-1]=>[4,3,2,1]=>[2,3,4,1]=>[4]
[-4,-3,-2,1]=>[4,3,2,1]=>[2,3,4,1]=>[4]
[-4,-3,-2,-1]=>[4,3,2,1]=>[2,3,4,1]=>[4]
[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,1,1,1,1]
[1,2,3,4,-5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,1,1,1,1]
[1,2,3,-4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,1,1,1,1]
[1,2,3,-4,-5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,1,1,1,1]
[1,2,-3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,1,1,1,1]
[1,2,-3,4,-5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,1,1,1,1]
[1,2,-3,-4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,1,1,1,1]
[1,2,-3,-4,-5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,1,1,1,1]
[1,-2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,1,1,1,1]
[1,-2,3,4,-5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,1,1,1,1]
[1,-2,3,-4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,1,1,1,1]
[1,-2,3,-4,-5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,1,1,1,1]
[1,-2,-3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,1,1,1,1]
[1,-2,-3,4,-5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,1,1,1,1]
[1,-2,-3,-4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,1,1,1,1]
[1,-2,-3,-4,-5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,1,1,1,1]
[-1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,1,1,1,1]
[-1,2,3,4,-5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,1,1,1,1]
[-1,2,3,-4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,1,1,1,1]
[-1,2,3,-4,-5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,1,1,1,1]
[-1,2,-3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,1,1,1,1]
[-1,2,-3,4,-5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,1,1,1,1]
[-1,2,-3,-4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,1,1,1,1]
[-1,2,-3,-4,-5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,1,1,1,1]
[-1,-2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,1,1,1,1]
[-1,-2,3,4,-5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,1,1,1,1]
[-1,-2,3,-4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,1,1,1,1]
[-1,-2,3,-4,-5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,1,1,1,1]
[-1,-2,-3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,1,1,1,1]
[-1,-2,-3,4,-5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,1,1,1,1]
[-1,-2,-3,-4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,1,1,1,1]
[-1,-2,-3,-4,-5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,1,1,1,1]
[1,2,3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[2,1,1,1]
[1,2,3,5,-4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[2,1,1,1]
[1,2,3,-5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[2,1,1,1]
[1,2,3,-5,-4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[2,1,1,1]
[1,2,-3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[2,1,1,1]
[1,2,-3,5,-4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[2,1,1,1]
[1,2,-3,-5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[2,1,1,1]
[1,2,-3,-5,-4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[2,1,1,1]
[1,-2,3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[2,1,1,1]
[1,-2,3,5,-4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[2,1,1,1]
[1,-2,3,-5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[2,1,1,1]
[1,-2,3,-5,-4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[2,1,1,1]
[1,-2,-3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[2,1,1,1]
[1,-2,-3,5,-4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[2,1,1,1]
[1,-2,-3,-5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[2,1,1,1]
[1,-2,-3,-5,-4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[2,1,1,1]
[-1,2,3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[2,1,1,1]
[-1,2,3,5,-4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[2,1,1,1]
[-1,2,3,-5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[2,1,1,1]
[-1,2,3,-5,-4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[2,1,1,1]
[-1,2,-3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[2,1,1,1]
[-1,2,-3,5,-4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[2,1,1,1]
[-1,2,-3,-5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[2,1,1,1]
[-1,2,-3,-5,-4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[2,1,1,1]
[-1,-2,3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[2,1,1,1]
[-1,-2,3,5,-4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[2,1,1,1]
[-1,-2,3,-5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[2,1,1,1]
[-1,-2,3,-5,-4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[2,1,1,1]
[-1,-2,-3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[2,1,1,1]
[-1,-2,-3,5,-4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[2,1,1,1]
[-1,-2,-3,-5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[2,1,1,1]
[-1,-2,-3,-5,-4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[2,1,1,1]
[1,2,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[2,1,1,1]
[1,2,4,3,-5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[2,1,1,1]
[1,2,4,-3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[2,1,1,1]
[1,2,4,-3,-5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[2,1,1,1]
[1,2,-4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[2,1,1,1]
[1,2,-4,3,-5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[2,1,1,1]
[1,2,-4,-3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[2,1,1,1]
[1,2,-4,-3,-5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[2,1,1,1]
[1,-2,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[2,1,1,1]
[1,-2,4,3,-5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[2,1,1,1]
[1,-2,4,-3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[2,1,1,1]
[1,-2,4,-3,-5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[2,1,1,1]
[1,-2,-4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[2,1,1,1]
[1,-2,-4,3,-5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[2,1,1,1]
[1,-2,-4,-3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[2,1,1,1]
[1,-2,-4,-3,-5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[2,1,1,1]
[-1,2,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[2,1,1,1]
[-1,2,4,3,-5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[2,1,1,1]
[-1,2,4,-3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[2,1,1,1]
[-1,2,4,-3,-5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[2,1,1,1]
[-1,2,-4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[2,1,1,1]
[-1,2,-4,3,-5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[2,1,1,1]
[-1,2,-4,-3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[2,1,1,1]
[-1,2,-4,-3,-5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[2,1,1,1]
[-1,-2,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[2,1,1,1]
[-1,-2,4,3,-5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[2,1,1,1]
[-1,-2,4,-3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[2,1,1,1]
[-1,-2,4,-3,-5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[2,1,1,1]
[-1,-2,-4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[2,1,1,1]
[-1,-2,-4,3,-5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[2,1,1,1]
[-1,-2,-4,-3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[2,1,1,1]
[-1,-2,-4,-3,-5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[2,1,1,1]
[1,2,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[2,1,1,1]
[1,2,4,5,-3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[2,1,1,1]
[1,2,4,-5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[2,1,1,1]
[1,2,4,-5,-3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[2,1,1,1]
[1,2,-4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[2,1,1,1]
[1,2,-4,5,-3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[2,1,1,1]
[1,2,-4,-5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[2,1,1,1]
[1,2,-4,-5,-3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[2,1,1,1]
[1,-2,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[2,1,1,1]
[1,-2,4,5,-3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[2,1,1,1]
[1,-2,4,-5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[2,1,1,1]
[1,-2,4,-5,-3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[2,1,1,1]
[1,-2,-4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[2,1,1,1]
[1,-2,-4,5,-3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[2,1,1,1]
[1,-2,-4,-5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[2,1,1,1]
[1,-2,-4,-5,-3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[2,1,1,1]
[-1,2,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[2,1,1,1]
[-1,2,4,5,-3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[2,1,1,1]
[-1,2,4,-5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[2,1,1,1]
[-1,2,4,-5,-3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[2,1,1,1]
[-1,2,-4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[2,1,1,1]
[-1,2,-4,5,-3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[2,1,1,1]
[-1,2,-4,-5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[2,1,1,1]
[-1,2,-4,-5,-3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[2,1,1,1]
[-1,-2,4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[2,1,1,1]
[-1,-2,4,5,-3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[2,1,1,1]
[-1,-2,4,-5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[2,1,1,1]
[-1,-2,4,-5,-3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[2,1,1,1]
[-1,-2,-4,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[2,1,1,1]
[-1,-2,-4,5,-3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[2,1,1,1]
[-1,-2,-4,-5,3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[2,1,1,1]
[-1,-2,-4,-5,-3]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[2,1,1,1]
[1,2,5,3,4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[3,1,1]
[1,2,5,3,-4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[3,1,1]
[1,2,5,-3,4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[3,1,1]
[1,2,5,-3,-4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[3,1,1]
[1,2,-5,3,4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[3,1,1]
[1,2,-5,3,-4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[3,1,1]
[1,2,-5,-3,4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[3,1,1]
[1,2,-5,-3,-4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[3,1,1]
[1,-2,5,3,4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[3,1,1]
[1,-2,5,3,-4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[3,1,1]
[1,-2,5,-3,4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[3,1,1]
[1,-2,5,-3,-4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[3,1,1]
[1,-2,-5,3,4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[3,1,1]
[1,-2,-5,3,-4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[3,1,1]
[1,-2,-5,-3,4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[3,1,1]
[1,-2,-5,-3,-4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[3,1,1]
[-1,2,5,3,4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[3,1,1]
[-1,2,5,3,-4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[3,1,1]
[-1,2,5,-3,4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[3,1,1]
[-1,2,5,-3,-4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[3,1,1]
[-1,2,-5,3,4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[3,1,1]
[-1,2,-5,3,-4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[3,1,1]
[-1,2,-5,-3,4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[3,1,1]
[-1,2,-5,-3,-4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[3,1,1]
[-1,-2,5,3,4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[3,1,1]
[-1,-2,5,3,-4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[3,1,1]
[-1,-2,5,-3,4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[3,1,1]
[-1,-2,5,-3,-4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[3,1,1]
[-1,-2,-5,3,4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[3,1,1]
[-1,-2,-5,3,-4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[3,1,1]
[-1,-2,-5,-3,4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[3,1,1]
[-1,-2,-5,-3,-4]=>[1,2,5,3,4]=>[1,2,5,3,4]=>[3,1,1]
[1,2,5,4,3]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[3,1,1]
[1,2,5,4,-3]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[3,1,1]
[1,2,5,-4,3]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[3,1,1]
[1,2,5,-4,-3]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[3,1,1]
[1,2,-5,4,3]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[3,1,1]
[1,2,-5,4,-3]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[3,1,1]
[1,2,-5,-4,3]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[3,1,1]
[1,2,-5,-4,-3]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[3,1,1]
[1,-2,5,4,3]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[3,1,1]
[1,-2,5,4,-3]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[3,1,1]
[1,-2,5,-4,3]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[3,1,1]
[1,-2,5,-4,-3]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[3,1,1]
[1,-2,-5,4,3]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[3,1,1]
[1,-2,-5,4,-3]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[3,1,1]
[1,-2,-5,-4,3]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[3,1,1]
[1,-2,-5,-4,-3]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[3,1,1]
[-1,2,5,4,3]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[3,1,1]
[-1,2,5,4,-3]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[3,1,1]
[-1,2,5,-4,3]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[3,1,1]
[-1,2,5,-4,-3]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[3,1,1]
[-1,2,-5,4,3]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[3,1,1]
[-1,2,-5,4,-3]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[3,1,1]
[-1,2,-5,-4,3]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[3,1,1]
[-1,2,-5,-4,-3]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[3,1,1]
[-1,-2,5,4,3]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[3,1,1]
[-1,-2,5,4,-3]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[3,1,1]
[-1,-2,5,-4,3]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[3,1,1]
[-1,-2,5,-4,-3]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[3,1,1]
[-1,-2,-5,4,3]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[3,1,1]
[-1,-2,-5,4,-3]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[3,1,1]
[-1,-2,-5,-4,3]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[3,1,1]
[-1,-2,-5,-4,-3]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[3,1,1]
[1,3,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[2,1,1,1]
[1,3,2,4,-5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[2,1,1,1]
[1,3,2,-4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[2,1,1,1]
[1,3,2,-4,-5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[2,1,1,1]
[1,3,-2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[2,1,1,1]
[1,3,-2,4,-5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[2,1,1,1]
[1,3,-2,-4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[2,1,1,1]
[1,3,-2,-4,-5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[2,1,1,1]
[1,-3,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[2,1,1,1]
[1,-3,2,4,-5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[2,1,1,1]
[1,-3,2,-4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[2,1,1,1]
[1,-3,2,-4,-5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[2,1,1,1]
[1,-3,-2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[2,1,1,1]
[1,-3,-2,4,-5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[2,1,1,1]
[1,-3,-2,-4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[2,1,1,1]
[1,-3,-2,-4,-5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[2,1,1,1]
[-1,3,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[2,1,1,1]
[-1,3,2,4,-5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[2,1,1,1]
[-1,3,2,-4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[2,1,1,1]
[-1,3,2,-4,-5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[2,1,1,1]
[-1,3,-2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[2,1,1,1]
[-1,3,-2,4,-5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[2,1,1,1]
[-1,3,-2,-4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[2,1,1,1]
[-1,3,-2,-4,-5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[2,1,1,1]
[-1,-3,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[2,1,1,1]
[-1,-3,2,4,-5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[2,1,1,1]
[-1,-3,2,-4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[2,1,1,1]
[-1,-3,2,-4,-5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[2,1,1,1]
[-1,-3,-2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[2,1,1,1]
[-1,-3,-2,4,-5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[2,1,1,1]
[-1,-3,-2,-4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[2,1,1,1]
[-1,-3,-2,-4,-5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[2,1,1,1]
[1,3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[2,2,1]
[1,3,2,5,-4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[2,2,1]
[1,3,2,-5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[2,2,1]
[1,3,2,-5,-4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[2,2,1]
[1,3,-2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[2,2,1]
[1,3,-2,5,-4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[2,2,1]
[1,3,-2,-5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[2,2,1]
[1,3,-2,-5,-4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[2,2,1]
[1,-3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[2,2,1]
[1,-3,2,5,-4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[2,2,1]
[1,-3,2,-5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[2,2,1]
[1,-3,2,-5,-4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[2,2,1]
[1,-3,-2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[2,2,1]
[1,-3,-2,5,-4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[2,2,1]
[1,-3,-2,-5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[2,2,1]
[1,-3,-2,-5,-4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[2,2,1]
[-1,3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[2,2,1]
[-1,3,2,5,-4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[2,2,1]
[-1,3,2,-5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[2,2,1]
[-1,3,2,-5,-4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[2,2,1]
[-1,3,-2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[2,2,1]
[-1,3,-2,5,-4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[2,2,1]
[-1,3,-2,-5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[2,2,1]
[-1,3,-2,-5,-4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[2,2,1]
[-1,-3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[2,2,1]
[-1,-3,2,5,-4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[2,2,1]
[-1,-3,2,-5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[2,2,1]
[-1,-3,2,-5,-4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[2,2,1]
[-1,-3,-2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[2,2,1]
[-1,-3,-2,5,-4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[2,2,1]
[-1,-3,-2,-5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[2,2,1]
[-1,-3,-2,-5,-4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[2,2,1]
[1,3,4,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[2,1,1,1]
[1,3,4,2,-5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[2,1,1,1]
[1,3,4,-2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[2,1,1,1]
[1,3,4,-2,-5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[2,1,1,1]
[1,3,-4,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[2,1,1,1]
[1,3,-4,2,-5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[2,1,1,1]
[1,3,-4,-2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[2,1,1,1]
[1,3,-4,-2,-5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[2,1,1,1]
[1,-3,4,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[2,1,1,1]
[1,-3,4,2,-5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[2,1,1,1]
[1,-3,4,-2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[2,1,1,1]
[1,-3,4,-2,-5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[2,1,1,1]
[1,-3,-4,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[2,1,1,1]
[1,-3,-4,2,-5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[2,1,1,1]
[1,-3,-4,-2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[2,1,1,1]
[1,-3,-4,-2,-5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[2,1,1,1]
[-1,3,4,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[2,1,1,1]
[-1,3,4,2,-5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[2,1,1,1]
[-1,3,4,-2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[2,1,1,1]
[-1,3,4,-2,-5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[2,1,1,1]
[-1,3,-4,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[2,1,1,1]
[-1,3,-4,2,-5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[2,1,1,1]
[-1,3,-4,-2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[2,1,1,1]
[-1,3,-4,-2,-5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[2,1,1,1]
[-1,-3,4,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[2,1,1,1]
[-1,-3,4,2,-5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[2,1,1,1]
[-1,-3,4,-2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[2,1,1,1]
[-1,-3,4,-2,-5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[2,1,1,1]
[-1,-3,-4,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[2,1,1,1]
[-1,-3,-4,2,-5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[2,1,1,1]
[-1,-3,-4,-2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[2,1,1,1]
[-1,-3,-4,-2,-5]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[2,1,1,1]
[1,3,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[2,1,1,1]
[1,3,4,5,-2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[2,1,1,1]
[1,3,4,-5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[2,1,1,1]
[1,3,4,-5,-2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[2,1,1,1]
[1,3,-4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[2,1,1,1]
[1,3,-4,5,-2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[2,1,1,1]
[1,3,-4,-5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[2,1,1,1]
[1,3,-4,-5,-2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[2,1,1,1]
[1,-3,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[2,1,1,1]
[1,-3,4,5,-2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[2,1,1,1]
[1,-3,4,-5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[2,1,1,1]
[1,-3,4,-5,-2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[2,1,1,1]
[1,-3,-4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[2,1,1,1]
[1,-3,-4,5,-2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[2,1,1,1]
[1,-3,-4,-5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[2,1,1,1]
[1,-3,-4,-5,-2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[2,1,1,1]
[-1,3,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[2,1,1,1]
[-1,3,4,5,-2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[2,1,1,1]
[-1,3,4,-5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[2,1,1,1]
[-1,3,4,-5,-2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[2,1,1,1]
[-1,3,-4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[2,1,1,1]
[-1,3,-4,5,-2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[2,1,1,1]
[-1,3,-4,-5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[2,1,1,1]
[-1,3,-4,-5,-2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[2,1,1,1]
[-1,-3,4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[2,1,1,1]
[-1,-3,4,5,-2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[2,1,1,1]
[-1,-3,4,-5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[2,1,1,1]
[-1,-3,4,-5,-2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[2,1,1,1]
[-1,-3,-4,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[2,1,1,1]
[-1,-3,-4,5,-2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[2,1,1,1]
[-1,-3,-4,-5,2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[2,1,1,1]
[-1,-3,-4,-5,-2]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[2,1,1,1]
[1,3,5,2,4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[1,3,5,2,-4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[1,3,5,-2,4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[1,3,5,-2,-4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[1,3,-5,2,4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[1,3,-5,2,-4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[1,3,-5,-2,4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[1,3,-5,-2,-4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[1,-3,5,2,4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[1,-3,5,2,-4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[1,-3,5,-2,4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[1,-3,5,-2,-4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[1,-3,-5,2,4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[1,-3,-5,2,-4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[1,-3,-5,-2,4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[1,-3,-5,-2,-4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[-1,3,5,2,4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[-1,3,5,2,-4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[-1,3,5,-2,4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[-1,3,5,-2,-4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[-1,3,-5,2,4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[-1,3,-5,2,-4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[-1,3,-5,-2,4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[-1,3,-5,-2,-4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[-1,-3,5,2,4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[-1,-3,5,2,-4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[-1,-3,5,-2,4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[-1,-3,5,-2,-4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[-1,-3,-5,2,4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[-1,-3,-5,2,-4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[-1,-3,-5,-2,4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[-1,-3,-5,-2,-4]=>[1,3,5,2,4]=>[1,5,3,2,4]=>[3,1,1]
[1,3,5,4,2]=>[1,3,5,4,2]=>[1,4,3,5,2]=>[3,1,1]
[1,3,5,4,-2]=>[1,3,5,4,2]=>[1,4,3,5,2]=>[3,1,1]
[1,3,5,-4,2]=>[1,3,5,4,2]=>[1,4,3,5,2]=>[3,1,1]
[1,3,5,-4,-2]=>[1,3,5,4,2]=>[1,4,3,5,2]=>[3,1,1]
[1,3,-5,4,2]=>[1,3,5,4,2]=>[1,4,3,5,2]=>[3,1,1]
[1,3,-5,4,-2]=>[1,3,5,4,2]=>[1,4,3,5,2]=>[3,1,1]
[1,3,-5,-4,2]=>[1,3,5,4,2]=>[1,4,3,5,2]=>[3,1,1]
[1,3,-5,-4,-2]=>[1,3,5,4,2]=>[1,4,3,5,2]=>[3,1,1]
[1,-3,5,4,2]=>[1,3,5,4,2]=>[1,4,3,5,2]=>[3,1,1]
[1,-3,5,4,-2]=>[1,3,5,4,2]=>[1,4,3,5,2]=>[3,1,1]
[1,-3,5,-4,2]=>[1,3,5,4,2]=>[1,4,3,5,2]=>[3,1,1]
[1,-3,5,-4,-2]=>[1,3,5,4,2]=>[1,4,3,5,2]=>[3,1,1]
[1,-3,-5,4,2]=>[1,3,5,4,2]=>[1,4,3,5,2]=>[3,1,1]
[1,-3,-5,4,-2]=>[1,3,5,4,2]=>[1,4,3,5,2]=>[3,1,1]
[1,-3,-5,-4,2]=>[1,3,5,4,2]=>[1,4,3,5,2]=>[3,1,1]
[1,-3,-5,-4,-2]=>[1,3,5,4,2]=>[1,4,3,5,2]=>[3,1,1]
[-1,3,5,4,2]=>[1,3,5,4,2]=>[1,4,3,5,2]=>[3,1,1]
[-1,3,5,4,-2]=>[1,3,5,4,2]=>[1,4,3,5,2]=>[3,1,1]
[-1,3,5,-4,2]=>[1,3,5,4,2]=>[1,4,3,5,2]=>[3,1,1]
[-1,3,5,-4,-2]=>[1,3,5,4,2]=>[1,4,3,5,2]=>[3,1,1]
[-1,3,-5,4,2]=>[1,3,5,4,2]=>[1,4,3,5,2]=>[3,1,1]
[-1,3,-5,4,-2]=>[1,3,5,4,2]=>[1,4,3,5,2]=>[3,1,1]
[-1,3,-5,-4,2]=>[1,3,5,4,2]=>[1,4,3,5,2]=>[3,1,1]
[-1,3,-5,-4,-2]=>[1,3,5,4,2]=>[1,4,3,5,2]=>[3,1,1]
[-1,-3,5,4,2]=>[1,3,5,4,2]=>[1,4,3,5,2]=>[3,1,1]
[-1,-3,5,4,-2]=>[1,3,5,4,2]=>[1,4,3,5,2]=>[3,1,1]
[-1,-3,5,-4,2]=>[1,3,5,4,2]=>[1,4,3,5,2]=>[3,1,1]
[-1,-3,5,-4,-2]=>[1,3,5,4,2]=>[1,4,3,5,2]=>[3,1,1]
[-1,-3,-5,4,2]=>[1,3,5,4,2]=>[1,4,3,5,2]=>[3,1,1]
[-1,-3,-5,4,-2]=>[1,3,5,4,2]=>[1,4,3,5,2]=>[3,1,1]
[-1,-3,-5,-4,2]=>[1,3,5,4,2]=>[1,4,3,5,2]=>[3,1,1]
[-1,-3,-5,-4,-2]=>[1,3,5,4,2]=>[1,4,3,5,2]=>[3,1,1]
[1,4,2,3,5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[3,1,1]
[1,4,2,3,-5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[3,1,1]
[1,4,2,-3,5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[3,1,1]
[1,4,2,-3,-5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[3,1,1]
[1,4,-2,3,5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[3,1,1]
[1,4,-2,3,-5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[3,1,1]
[1,4,-2,-3,5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[3,1,1]
[1,4,-2,-3,-5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[3,1,1]
[1,-4,2,3,5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[3,1,1]
[1,-4,2,3,-5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[3,1,1]
[1,-4,2,-3,5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[3,1,1]
[1,-4,2,-3,-5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[3,1,1]
[1,-4,-2,3,5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[3,1,1]
[1,-4,-2,3,-5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[3,1,1]
[1,-4,-2,-3,5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[3,1,1]
[1,-4,-2,-3,-5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[3,1,1]
[-1,4,2,3,5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[3,1,1]
[-1,4,2,3,-5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[3,1,1]
[-1,4,2,-3,5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[3,1,1]
[-1,4,2,-3,-5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[3,1,1]
[-1,4,-2,3,5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[3,1,1]
[-1,4,-2,3,-5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[3,1,1]
[-1,4,-2,-3,5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[3,1,1]
[-1,4,-2,-3,-5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[3,1,1]
[-1,-4,2,3,5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[3,1,1]
[-1,-4,2,3,-5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[3,1,1]
[-1,-4,2,-3,5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[3,1,1]
[-1,-4,2,-3,-5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[3,1,1]
[-1,-4,-2,3,5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[3,1,1]
[-1,-4,-2,3,-5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[3,1,1]
[-1,-4,-2,-3,5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[3,1,1]
[-1,-4,-2,-3,-5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>[3,1,1]
[1,4,2,5,3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[2,2,1]
[1,4,2,5,-3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[2,2,1]
[1,4,2,-5,3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[2,2,1]
[1,4,2,-5,-3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[2,2,1]
[1,4,-2,5,3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[2,2,1]
[1,4,-2,5,-3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[2,2,1]
[1,4,-2,-5,3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[2,2,1]
[1,4,-2,-5,-3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[2,2,1]
[1,-4,2,5,3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[2,2,1]
[1,-4,2,5,-3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[2,2,1]
[1,-4,2,-5,3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[2,2,1]
[1,-4,2,-5,-3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[2,2,1]
[1,-4,-2,5,3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[2,2,1]
[1,-4,-2,5,-3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[2,2,1]
[1,-4,-2,-5,3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[2,2,1]
[1,-4,-2,-5,-3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[2,2,1]
[-1,4,2,5,3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[2,2,1]
[-1,4,2,5,-3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[2,2,1]
[-1,4,2,-5,3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[2,2,1]
[-1,4,2,-5,-3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[2,2,1]
[-1,4,-2,5,3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[2,2,1]
[-1,4,-2,5,-3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[2,2,1]
[-1,4,-2,-5,3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[2,2,1]
[-1,4,-2,-5,-3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[2,2,1]
[-1,-4,2,5,3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[2,2,1]
[-1,-4,2,5,-3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[2,2,1]
[-1,-4,2,-5,3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[2,2,1]
[-1,-4,2,-5,-3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[2,2,1]
[-1,-4,-2,5,3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[2,2,1]
[-1,-4,-2,5,-3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[2,2,1]
[-1,-4,-2,-5,3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[2,2,1]
[-1,-4,-2,-5,-3]=>[1,4,2,5,3]=>[1,4,5,2,3]=>[2,2,1]
[1,4,3,2,5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[3,1,1]
[1,4,3,2,-5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[3,1,1]
[1,4,3,-2,5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[3,1,1]
[1,4,3,-2,-5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[3,1,1]
[1,4,-3,2,5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[3,1,1]
[1,4,-3,2,-5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[3,1,1]
[1,4,-3,-2,5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[3,1,1]
[1,4,-3,-2,-5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[3,1,1]
[1,-4,3,2,5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[3,1,1]
[1,-4,3,2,-5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[3,1,1]
[1,-4,3,-2,5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[3,1,1]
[1,-4,3,-2,-5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[3,1,1]
[1,-4,-3,2,5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[3,1,1]
[1,-4,-3,2,-5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[3,1,1]
[1,-4,-3,-2,5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[3,1,1]
[1,-4,-3,-2,-5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[3,1,1]
[-1,4,3,2,5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[3,1,1]
[-1,4,3,2,-5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[3,1,1]
[-1,4,3,-2,5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[3,1,1]
[-1,4,3,-2,-5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[3,1,1]
[-1,4,-3,2,5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[3,1,1]
[-1,4,-3,2,-5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[3,1,1]
[-1,4,-3,-2,5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[3,1,1]
[-1,4,-3,-2,-5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[3,1,1]
[-1,-4,3,2,5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[3,1,1]
[-1,-4,3,2,-5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[3,1,1]
[-1,-4,3,-2,5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[3,1,1]
[-1,-4,3,-2,-5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[3,1,1]
[-1,-4,-3,2,5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[3,1,1]
[-1,-4,-3,2,-5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[3,1,1]
[-1,-4,-3,-2,5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[3,1,1]
[-1,-4,-3,-2,-5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[3,1,1]
[1,4,3,5,2]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[2,2,1]
[1,4,3,5,-2]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[2,2,1]
[1,4,3,-5,2]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[2,2,1]
[1,4,3,-5,-2]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[2,2,1]
[1,4,-3,5,2]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[2,2,1]
[1,4,-3,5,-2]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[2,2,1]
[1,4,-3,-5,2]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[2,2,1]
[1,4,-3,-5,-2]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[2,2,1]
[1,-4,3,5,2]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[2,2,1]
[1,-4,3,5,-2]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[2,2,1]
[1,-4,3,-5,2]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[2,2,1]
[1,-4,3,-5,-2]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[2,2,1]
[1,-4,-3,5,2]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[2,2,1]
[1,-4,-3,5,-2]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[2,2,1]
[1,-4,-3,-5,2]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[2,2,1]
[1,-4,-3,-5,-2]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[2,2,1]
[-1,4,3,5,2]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[2,2,1]
[-1,4,3,5,-2]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[2,2,1]
[-1,4,3,-5,2]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[2,2,1]
[-1,4,3,-5,-2]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[2,2,1]
[-1,4,-3,5,2]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[2,2,1]
[-1,4,-3,5,-2]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[2,2,1]
[-1,4,-3,-5,2]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[2,2,1]
[-1,4,-3,-5,-2]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[2,2,1]
[-1,-4,3,5,2]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[2,2,1]
[-1,-4,3,5,-2]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[2,2,1]
[-1,-4,3,-5,2]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[2,2,1]
[-1,-4,3,-5,-2]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[2,2,1]
[-1,-4,-3,5,2]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[2,2,1]
[-1,-4,-3,5,-2]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[2,2,1]
[-1,-4,-3,-5,2]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[2,2,1]
[-1,-4,-3,-5,-2]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[2,2,1]
[1,4,5,2,3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[1,4,5,2,-3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[1,4,5,-2,3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[1,4,5,-2,-3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[1,4,-5,2,3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[1,4,-5,2,-3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[1,4,-5,-2,3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[1,4,-5,-2,-3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[1,-4,5,2,3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[1,-4,5,2,-3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[1,-4,5,-2,3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[1,-4,5,-2,-3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[1,-4,-5,2,3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[1,-4,-5,2,-3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[1,-4,-5,-2,3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[1,-4,-5,-2,-3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[-1,4,5,2,3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[-1,4,5,2,-3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[-1,4,5,-2,3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[-1,4,5,-2,-3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[-1,4,-5,2,3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[-1,4,-5,2,-3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[-1,4,-5,-2,3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[-1,4,-5,-2,-3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[-1,-4,5,2,3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[-1,-4,5,2,-3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[-1,-4,5,-2,3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[-1,-4,5,-2,-3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[-1,-4,-5,2,3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[-1,-4,-5,2,-3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[-1,-4,-5,-2,3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[-1,-4,-5,-2,-3]=>[1,4,5,2,3]=>[1,5,2,4,3]=>[3,1,1]
[1,4,5,3,2]=>[1,4,5,3,2]=>[1,3,5,4,2]=>[3,1,1]
[1,4,5,3,-2]=>[1,4,5,3,2]=>[1,3,5,4,2]=>[3,1,1]
[1,4,5,-3,2]=>[1,4,5,3,2]=>[1,3,5,4,2]=>[3,1,1]
[1,4,5,-3,-2]=>[1,4,5,3,2]=>[1,3,5,4,2]=>[3,1,1]
[1,4,-5,3,2]=>[1,4,5,3,2]=>[1,3,5,4,2]=>[3,1,1]
[1,4,-5,3,-2]=>[1,4,5,3,2]=>[1,3,5,4,2]=>[3,1,1]
[1,4,-5,-3,2]=>[1,4,5,3,2]=>[1,3,5,4,2]=>[3,1,1]
[1,4,-5,-3,-2]=>[1,4,5,3,2]=>[1,3,5,4,2]=>[3,1,1]
[1,-4,5,3,2]=>[1,4,5,3,2]=>[1,3,5,4,2]=>[3,1,1]
[1,-4,5,3,-2]=>[1,4,5,3,2]=>[1,3,5,4,2]=>[3,1,1]
[1,-4,5,-3,2]=>[1,4,5,3,2]=>[1,3,5,4,2]=>[3,1,1]
[1,-4,5,-3,-2]=>[1,4,5,3,2]=>[1,3,5,4,2]=>[3,1,1]
[1,-4,-5,3,2]=>[1,4,5,3,2]=>[1,3,5,4,2]=>[3,1,1]
[1,-4,-5,3,-2]=>[1,4,5,3,2]=>[1,3,5,4,2]=>[3,1,1]
[1,-4,-5,-3,2]=>[1,4,5,3,2]=>[1,3,5,4,2]=>[3,1,1]
[1,-4,-5,-3,-2]=>[1,4,5,3,2]=>[1,3,5,4,2]=>[3,1,1]
[-1,4,5,3,2]=>[1,4,5,3,2]=>[1,3,5,4,2]=>[3,1,1]
[-1,4,5,3,-2]=>[1,4,5,3,2]=>[1,3,5,4,2]=>[3,1,1]
[-1,4,5,-3,2]=>[1,4,5,3,2]=>[1,3,5,4,2]=>[3,1,1]
[-1,4,5,-3,-2]=>[1,4,5,3,2]=>[1,3,5,4,2]=>[3,1,1]
[-1,4,-5,3,2]=>[1,4,5,3,2]=>[1,3,5,4,2]=>[3,1,1]
[-1,4,-5,3,-2]=>[1,4,5,3,2]=>[1,3,5,4,2]=>[3,1,1]
[-1,4,-5,-3,2]=>[1,4,5,3,2]=>[1,3,5,4,2]=>[3,1,1]
[-1,4,-5,-3,-2]=>[1,4,5,3,2]=>[1,3,5,4,2]=>[3,1,1]
[-1,-4,5,3,2]=>[1,4,5,3,2]=>[1,3,5,4,2]=>[3,1,1]
[-1,-4,5,3,-2]=>[1,4,5,3,2]=>[1,3,5,4,2]=>[3,1,1]
[-1,-4,5,-3,2]=>[1,4,5,3,2]=>[1,3,5,4,2]=>[3,1,1]
[-1,-4,5,-3,-2]=>[1,4,5,3,2]=>[1,3,5,4,2]=>[3,1,1]
[-1,-4,-5,3,2]=>[1,4,5,3,2]=>[1,3,5,4,2]=>[3,1,1]
[-1,-4,-5,3,-2]=>[1,4,5,3,2]=>[1,3,5,4,2]=>[3,1,1]
[-1,-4,-5,-3,2]=>[1,4,5,3,2]=>[1,3,5,4,2]=>[3,1,1]
[-1,-4,-5,-3,-2]=>[1,4,5,3,2]=>[1,3,5,4,2]=>[3,1,1]
[1,5,2,3,4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[1,5,2,3,-4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[1,5,2,-3,4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[1,5,2,-3,-4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[1,5,-2,3,4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[1,5,-2,3,-4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[1,5,-2,-3,4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[1,5,-2,-3,-4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[1,-5,2,3,4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[1,-5,2,3,-4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[1,-5,2,-3,4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[1,-5,2,-3,-4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[1,-5,-2,3,4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[1,-5,-2,3,-4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[1,-5,-2,-3,4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[1,-5,-2,-3,-4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[-1,5,2,3,4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[-1,5,2,3,-4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[-1,5,2,-3,4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[-1,5,2,-3,-4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[-1,5,-2,3,4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[-1,5,-2,3,-4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[-1,5,-2,-3,4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[-1,5,-2,-3,-4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[-1,-5,2,3,4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[-1,-5,2,3,-4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[-1,-5,2,-3,4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[-1,-5,2,-3,-4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[-1,-5,-2,3,4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[-1,-5,-2,3,-4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[-1,-5,-2,-3,4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[-1,-5,-2,-3,-4]=>[1,5,2,3,4]=>[1,5,2,3,4]=>[4,1]
[1,5,2,4,3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[4,1]
[1,5,2,4,-3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[4,1]
[1,5,2,-4,3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[4,1]
[1,5,2,-4,-3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[4,1]
[1,5,-2,4,3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[4,1]
[1,5,-2,4,-3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[4,1]
[1,5,-2,-4,3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[4,1]
[1,5,-2,-4,-3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[4,1]
[1,-5,2,4,3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[4,1]
[1,-5,2,4,-3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[4,1]
[1,-5,2,-4,3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[4,1]
[1,-5,2,-4,-3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[4,1]
[1,-5,-2,4,3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[4,1]
[1,-5,-2,4,-3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[4,1]
[1,-5,-2,-4,3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[4,1]
[1,-5,-2,-4,-3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[4,1]
[-1,5,2,4,3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[4,1]
[-1,5,2,4,-3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[4,1]
[-1,5,2,-4,3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[4,1]
[-1,5,2,-4,-3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[4,1]
[-1,5,-2,4,3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[4,1]
[-1,5,-2,4,-3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[4,1]
[-1,5,-2,-4,3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[4,1]
[-1,5,-2,-4,-3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[4,1]
[-1,-5,2,4,3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[4,1]
[-1,-5,2,4,-3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[4,1]
[-1,-5,2,-4,3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[4,1]
[-1,-5,2,-4,-3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[4,1]
[-1,-5,-2,4,3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[4,1]
[-1,-5,-2,4,-3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[4,1]
[-1,-5,-2,-4,3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[4,1]
[-1,-5,-2,-4,-3]=>[1,5,2,4,3]=>[1,5,4,2,3]=>[4,1]
[1,5,3,2,4]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[4,1]
[1,5,3,2,-4]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[4,1]
[1,5,3,-2,4]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[4,1]
[1,5,3,-2,-4]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[4,1]
[1,5,-3,2,4]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[4,1]
[1,5,-3,2,-4]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[4,1]
[1,5,-3,-2,4]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[4,1]
[1,5,-3,-2,-4]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[4,1]
[1,-5,3,2,4]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[4,1]
[1,-5,3,2,-4]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[4,1]
[1,-5,3,-2,4]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[4,1]
[1,-5,3,-2,-4]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[4,1]
[1,-5,-3,2,4]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[4,1]
[1,-5,-3,2,-4]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[4,1]
[1,-5,-3,-2,4]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[4,1]
[1,-5,-3,-2,-4]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[4,1]
[-1,5,3,2,4]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[4,1]
[-1,5,3,2,-4]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[4,1]
[-1,5,3,-2,4]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[4,1]
[-1,5,3,-2,-4]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[4,1]
[-1,5,-3,2,4]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[4,1]
[-1,5,-3,2,-4]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[4,1]
[-1,5,-3,-2,4]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[4,1]
[-1,5,-3,-2,-4]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[4,1]
[-1,-5,3,2,4]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[4,1]
[-1,-5,3,2,-4]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[4,1]
[-1,-5,3,-2,4]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[4,1]
[-1,-5,3,-2,-4]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[4,1]
[-1,-5,-3,2,4]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[4,1]
[-1,-5,-3,2,-4]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[4,1]
[-1,-5,-3,-2,4]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[4,1]
[-1,-5,-3,-2,-4]=>[1,5,3,2,4]=>[1,3,5,2,4]=>[4,1]
[1,5,3,4,2]=>[1,5,3,4,2]=>[1,4,5,3,2]=>[4,1]
[1,5,3,4,-2]=>[1,5,3,4,2]=>[1,4,5,3,2]=>[4,1]
[1,5,3,-4,2]=>[1,5,3,4,2]=>[1,4,5,3,2]=>[4,1]
[1,5,3,-4,-2]=>[1,5,3,4,2]=>[1,4,5,3,2]=>[4,1]
[1,5,-3,4,2]=>[1,5,3,4,2]=>[1,4,5,3,2]=>[4,1]
[1,5,-3,4,-2]=>[1,5,3,4,2]=>[1,4,5,3,2]=>[4,1]
[1,5,-3,-4,2]=>[1,5,3,4,2]=>[1,4,5,3,2]=>[4,1]
[1,5,-3,-4,-2]=>[1,5,3,4,2]=>[1,4,5,3,2]=>[4,1]
[1,-5,3,4,2]=>[1,5,3,4,2]=>[1,4,5,3,2]=>[4,1]
[1,-5,3,4,-2]=>[1,5,3,4,2]=>[1,4,5,3,2]=>[4,1]
[1,-5,3,-4,2]=>[1,5,3,4,2]=>[1,4,5,3,2]=>[4,1]
[1,-5,3,-4,-2]=>[1,5,3,4,2]=>[1,4,5,3,2]=>[4,1]
[1,-5,-3,4,2]=>[1,5,3,4,2]=>[1,4,5,3,2]=>[4,1]
[1,-5,-3,4,-2]=>[1,5,3,4,2]=>[1,4,5,3,2]=>[4,1]
[1,-5,-3,-4,2]=>[1,5,3,4,2]=>[1,4,5,3,2]=>[4,1]
[1,-5,-3,-4,-2]=>[1,5,3,4,2]=>[1,4,5,3,2]=>[4,1]
[-1,5,3,4,2]=>[1,5,3,4,2]=>[1,4,5,3,2]=>[4,1]
[-1,5,3,4,-2]=>[1,5,3,4,2]=>[1,4,5,3,2]=>[4,1]
[-1,5,3,-4,2]=>[1,5,3,4,2]=>[1,4,5,3,2]=>[4,1]
[-1,5,3,-4,-2]=>[1,5,3,4,2]=>[1,4,5,3,2]=>[4,1]
[-1,5,-3,4,2]=>[1,5,3,4,2]=>[1,4,5,3,2]=>[4,1]
[-1,5,-3,4,-2]=>[1,5,3,4,2]=>[1,4,5,3,2]=>[4,1]
[-1,5,-3,-4,2]=>[1,5,3,4,2]=>[1,4,5,3,2]=>[4,1]
[-1,5,-3,-4,-2]=>[1,5,3,4,2]=>[1,4,5,3,2]=>[4,1]
[-1,-5,3,4,2]=>[1,5,3,4,2]=>[1,4,5,3,2]=>[4,1]
[-1,-5,3,4,-2]=>[1,5,3,4,2]=>[1,4,5,3,2]=>[4,1]
[-1,-5,3,-4,2]=>[1,5,3,4,2]=>[1,4,5,3,2]=>[4,1]
[-1,-5,3,-4,-2]=>[1,5,3,4,2]=>[1,4,5,3,2]=>[4,1]
[-1,-5,-3,4,2]=>[1,5,3,4,2]=>[1,4,5,3,2]=>[4,1]
[-1,-5,-3,4,-2]=>[1,5,3,4,2]=>[1,4,5,3,2]=>[4,1]
[-1,-5,-3,-4,2]=>[1,5,3,4,2]=>[1,4,5,3,2]=>[4,1]
[-1,-5,-3,-4,-2]=>[1,5,3,4,2]=>[1,4,5,3,2]=>[4,1]
[1,5,4,2,3]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[4,1]
[1,5,4,2,-3]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[4,1]
[1,5,4,-2,3]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[4,1]
[1,5,4,-2,-3]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[4,1]
[1,5,-4,2,3]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[4,1]
[1,5,-4,2,-3]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[4,1]
[1,5,-4,-2,3]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[4,1]
[1,5,-4,-2,-3]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[4,1]
[1,-5,4,2,3]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[4,1]
[1,-5,4,2,-3]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[4,1]
[1,-5,4,-2,3]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[4,1]
[1,-5,4,-2,-3]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[4,1]
[1,-5,-4,2,3]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[4,1]
[1,-5,-4,2,-3]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[4,1]
[1,-5,-4,-2,3]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[4,1]
[1,-5,-4,-2,-3]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[4,1]
[-1,5,4,2,3]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[4,1]
[-1,5,4,2,-3]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[4,1]
[-1,5,4,-2,3]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[4,1]
[-1,5,4,-2,-3]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[4,1]
[-1,5,-4,2,3]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[4,1]
[-1,5,-4,2,-3]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[4,1]
[-1,5,-4,-2,3]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[4,1]
[-1,5,-4,-2,-3]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[4,1]
[-1,-5,4,2,3]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[4,1]
[-1,-5,4,2,-3]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[4,1]
[-1,-5,4,-2,3]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[4,1]
[-1,-5,4,-2,-3]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[4,1]
[-1,-5,-4,2,3]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[4,1]
[-1,-5,-4,2,-3]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[4,1]
[-1,-5,-4,-2,3]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[4,1]
[-1,-5,-4,-2,-3]=>[1,5,4,2,3]=>[1,4,2,5,3]=>[4,1]
[1,5,4,3,2]=>[1,5,4,3,2]=>[1,3,4,5,2]=>[4,1]
[1,5,4,3,-2]=>[1,5,4,3,2]=>[1,3,4,5,2]=>[4,1]
[1,5,4,-3,2]=>[1,5,4,3,2]=>[1,3,4,5,2]=>[4,1]
[1,5,4,-3,-2]=>[1,5,4,3,2]=>[1,3,4,5,2]=>[4,1]
[1,5,-4,3,2]=>[1,5,4,3,2]=>[1,3,4,5,2]=>[4,1]
[1,5,-4,3,-2]=>[1,5,4,3,2]=>[1,3,4,5,2]=>[4,1]
[1,5,-4,-3,2]=>[1,5,4,3,2]=>[1,3,4,5,2]=>[4,1]
[1,5,-4,-3,-2]=>[1,5,4,3,2]=>[1,3,4,5,2]=>[4,1]
[1,-5,4,3,2]=>[1,5,4,3,2]=>[1,3,4,5,2]=>[4,1]
[1,-5,4,3,-2]=>[1,5,4,3,2]=>[1,3,4,5,2]=>[4,1]
[1,-5,4,-3,2]=>[1,5,4,3,2]=>[1,3,4,5,2]=>[4,1]
[1,-5,4,-3,-2]=>[1,5,4,3,2]=>[1,3,4,5,2]=>[4,1]
[1,-5,-4,3,2]=>[1,5,4,3,2]=>[1,3,4,5,2]=>[4,1]
[1,-5,-4,3,-2]=>[1,5,4,3,2]=>[1,3,4,5,2]=>[4,1]
[1,-5,-4,-3,2]=>[1,5,4,3,2]=>[1,3,4,5,2]=>[4,1]
[1,-5,-4,-3,-2]=>[1,5,4,3,2]=>[1,3,4,5,2]=>[4,1]
[-1,5,4,3,2]=>[1,5,4,3,2]=>[1,3,4,5,2]=>[4,1]
[-1,5,4,3,-2]=>[1,5,4,3,2]=>[1,3,4,5,2]=>[4,1]
[-1,5,4,-3,2]=>[1,5,4,3,2]=>[1,3,4,5,2]=>[4,1]
[-1,5,4,-3,-2]=>[1,5,4,3,2]=>[1,3,4,5,2]=>[4,1]
[-1,5,-4,3,2]=>[1,5,4,3,2]=>[1,3,4,5,2]=>[4,1]
[-1,5,-4,3,-2]=>[1,5,4,3,2]=>[1,3,4,5,2]=>[4,1]
[-1,5,-4,-3,2]=>[1,5,4,3,2]=>[1,3,4,5,2]=>[4,1]
[-1,5,-4,-3,-2]=>[1,5,4,3,2]=>[1,3,4,5,2]=>[4,1]
[-1,-5,4,3,2]=>[1,5,4,3,2]=>[1,3,4,5,2]=>[4,1]
[-1,-5,4,3,-2]=>[1,5,4,3,2]=>[1,3,4,5,2]=>[4,1]
[-1,-5,4,-3,2]=>[1,5,4,3,2]=>[1,3,4,5,2]=>[4,1]
[-1,-5,4,-3,-2]=>[1,5,4,3,2]=>[1,3,4,5,2]=>[4,1]
[-1,-5,-4,3,2]=>[1,5,4,3,2]=>[1,3,4,5,2]=>[4,1]
[-1,-5,-4,3,-2]=>[1,5,4,3,2]=>[1,3,4,5,2]=>[4,1]
[-1,-5,-4,-3,2]=>[1,5,4,3,2]=>[1,3,4,5,2]=>[4,1]
[-1,-5,-4,-3,-2]=>[1,5,4,3,2]=>[1,3,4,5,2]=>[4,1]
[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,1,1]
[2,1,3,4,-5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,1,1]
[2,1,3,-4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,1,1]
[2,1,3,-4,-5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,1,1]
[2,1,-3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,1,1]
[2,1,-3,4,-5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,1,1]
[2,1,-3,-4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,1,1]
[2,1,-3,-4,-5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,1,1]
[2,-1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,1,1]
[2,-1,3,4,-5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,1,1]
[2,-1,3,-4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,1,1]
[2,-1,3,-4,-5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,1,1]
[2,-1,-3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,1,1]
[2,-1,-3,4,-5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,1,1]
[2,-1,-3,-4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,1,1]
[2,-1,-3,-4,-5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,1,1]
[-2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,1,1]
[-2,1,3,4,-5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,1,1]
[-2,1,3,-4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,1,1]
[-2,1,3,-4,-5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,1,1]
[-2,1,-3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,1,1]
[-2,1,-3,4,-5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,1,1]
[-2,1,-3,-4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,1,1]
[-2,1,-3,-4,-5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,1,1]
[-2,-1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,1,1]
[-2,-1,3,4,-5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,1,1]
[-2,-1,3,-4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,1,1]
[-2,-1,3,-4,-5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,1,1]
[-2,-1,-3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,1,1]
[-2,-1,-3,4,-5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,1,1]
[-2,-1,-3,-4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,1,1]
[-2,-1,-3,-4,-5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,1,1]
[2,1,3,5,4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,2,1]
[2,1,3,5,-4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,2,1]
[2,1,3,-5,4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,2,1]
[2,1,3,-5,-4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,2,1]
[2,1,-3,5,4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,2,1]
[2,1,-3,5,-4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,2,1]
[2,1,-3,-5,4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,2,1]
[2,1,-3,-5,-4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,2,1]
[2,-1,3,5,4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,2,1]
[2,-1,3,5,-4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,2,1]
[2,-1,3,-5,4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,2,1]
[2,-1,3,-5,-4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,2,1]
[2,-1,-3,5,4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,2,1]
[2,-1,-3,5,-4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,2,1]
[2,-1,-3,-5,4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,2,1]
[2,-1,-3,-5,-4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,2,1]
[-2,1,3,5,4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,2,1]
[-2,1,3,5,-4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,2,1]
[-2,1,3,-5,4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,2,1]
[-2,1,3,-5,-4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,2,1]
[-2,1,-3,5,4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,2,1]
[-2,1,-3,5,-4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,2,1]
[-2,1,-3,-5,4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,2,1]
[-2,1,-3,-5,-4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,2,1]
[-2,-1,3,5,4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,2,1]
[-2,-1,3,5,-4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,2,1]
[-2,-1,3,-5,4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,2,1]
[-2,-1,3,-5,-4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,2,1]
[-2,-1,-3,5,4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,2,1]
[-2,-1,-3,5,-4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,2,1]
[-2,-1,-3,-5,4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,2,1]
[-2,-1,-3,-5,-4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,2,1]
[2,1,4,3,5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,2,1]
[2,1,4,3,-5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,2,1]
[2,1,4,-3,5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,2,1]
[2,1,4,-3,-5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,2,1]
[2,1,-4,3,5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,2,1]
[2,1,-4,3,-5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,2,1]
[2,1,-4,-3,5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,2,1]
[2,1,-4,-3,-5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,2,1]
[2,-1,4,3,5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,2,1]
[2,-1,4,3,-5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,2,1]
[2,-1,4,-3,5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,2,1]
[2,-1,4,-3,-5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,2,1]
[2,-1,-4,3,5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,2,1]
[2,-1,-4,3,-5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,2,1]
[2,-1,-4,-3,5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,2,1]
[2,-1,-4,-3,-5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,2,1]
[-2,1,4,3,5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,2,1]
[-2,1,4,3,-5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,2,1]
[-2,1,4,-3,5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,2,1]
[-2,1,4,-3,-5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,2,1]
[-2,1,-4,3,5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,2,1]
[-2,1,-4,3,-5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,2,1]
[-2,1,-4,-3,5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,2,1]
[-2,1,-4,-3,-5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,2,1]
[-2,-1,4,3,5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,2,1]
[-2,-1,4,3,-5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,2,1]
[-2,-1,4,-3,5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,2,1]
[-2,-1,4,-3,-5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,2,1]
[-2,-1,-4,3,5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,2,1]
[-2,-1,-4,3,-5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,2,1]
[-2,-1,-4,-3,5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,2,1]
[-2,-1,-4,-3,-5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,2,1]
[2,1,4,5,3]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[2,2,1]
[2,1,4,5,-3]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[2,2,1]
[2,1,4,-5,3]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[2,2,1]
[2,1,4,-5,-3]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[2,2,1]
[2,1,-4,5,3]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[2,2,1]
[2,1,-4,5,-3]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[2,2,1]
[2,1,-4,-5,3]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[2,2,1]
[2,1,-4,-5,-3]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[2,2,1]
[2,-1,4,5,3]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[2,2,1]
[2,-1,4,5,-3]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[2,2,1]
[2,-1,4,-5,3]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[2,2,1]
[2,-1,4,-5,-3]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[2,2,1]
[2,-1,-4,5,3]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[2,2,1]
[2,-1,-4,5,-3]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[2,2,1]
[2,-1,-4,-5,3]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[2,2,1]
[2,-1,-4,-5,-3]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[2,2,1]
[-2,1,4,5,3]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[2,2,1]
[-2,1,4,5,-3]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[2,2,1]
[-2,1,4,-5,3]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[2,2,1]
[-2,1,4,-5,-3]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[2,2,1]
[-2,1,-4,5,3]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[2,2,1]
[-2,1,-4,5,-3]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[2,2,1]
[-2,1,-4,-5,3]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[2,2,1]
[-2,1,-4,-5,-3]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[2,2,1]
[-2,-1,4,5,3]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[2,2,1]
[-2,-1,4,5,-3]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[2,2,1]
[-2,-1,4,-5,3]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[2,2,1]
[-2,-1,4,-5,-3]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[2,2,1]
[-2,-1,-4,5,3]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[2,2,1]
[-2,-1,-4,5,-3]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[2,2,1]
[-2,-1,-4,-5,3]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[2,2,1]
[-2,-1,-4,-5,-3]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[2,2,1]
[2,1,5,3,4]=>[2,1,5,3,4]=>[2,1,5,3,4]=>[3,2]
[2,1,5,3,-4]=>[2,1,5,3,4]=>[2,1,5,3,4]=>[3,2]
[2,1,5,-3,4]=>[2,1,5,3,4]=>[2,1,5,3,4]=>[3,2]
[2,1,5,-3,-4]=>[2,1,5,3,4]=>[2,1,5,3,4]=>[3,2]
[2,1,-5,3,4]=>[2,1,5,3,4]=>[2,1,5,3,4]=>[3,2]
[2,1,-5,3,-4]=>[2,1,5,3,4]=>[2,1,5,3,4]=>[3,2]
[2,1,-5,-3,4]=>[2,1,5,3,4]=>[2,1,5,3,4]=>[3,2]
[2,1,-5,-3,-4]=>[2,1,5,3,4]=>[2,1,5,3,4]=>[3,2]
[2,-1,5,3,4]=>[2,1,5,3,4]=>[2,1,5,3,4]=>[3,2]
[2,-1,5,3,-4]=>[2,1,5,3,4]=>[2,1,5,3,4]=>[3,2]
[2,-1,5,-3,4]=>[2,1,5,3,4]=>[2,1,5,3,4]=>[3,2]
[2,-1,5,-3,-4]=>[2,1,5,3,4]=>[2,1,5,3,4]=>[3,2]
[2,-1,-5,3,4]=>[2,1,5,3,4]=>[2,1,5,3,4]=>[3,2]
[2,-1,-5,3,-4]=>[2,1,5,3,4]=>[2,1,5,3,4]=>[3,2]
[2,-1,-5,-3,4]=>[2,1,5,3,4]=>[2,1,5,3,4]=>[3,2]
[2,-1,-5,-3,-4]=>[2,1,5,3,4]=>[2,1,5,3,4]=>[3,2]
[-2,1,5,3,4]=>[2,1,5,3,4]=>[2,1,5,3,4]=>[3,2]
[-2,1,5,3,-4]=>[2,1,5,3,4]=>[2,1,5,3,4]=>[3,2]
[-2,1,5,-3,4]=>[2,1,5,3,4]=>[2,1,5,3,4]=>[3,2]
[-2,1,5,-3,-4]=>[2,1,5,3,4]=>[2,1,5,3,4]=>[3,2]
[-2,1,-5,3,4]=>[2,1,5,3,4]=>[2,1,5,3,4]=>[3,2]
[-2,1,-5,3,-4]=>[2,1,5,3,4]=>[2,1,5,3,4]=>[3,2]
[-2,1,-5,-3,4]=>[2,1,5,3,4]=>[2,1,5,3,4]=>[3,2]
[-2,1,-5,-3,-4]=>[2,1,5,3,4]=>[2,1,5,3,4]=>[3,2]
[-2,-1,5,3,4]=>[2,1,5,3,4]=>[2,1,5,3,4]=>[3,2]
[-2,-1,5,3,-4]=>[2,1,5,3,4]=>[2,1,5,3,4]=>[3,2]
[-2,-1,5,-3,4]=>[2,1,5,3,4]=>[2,1,5,3,4]=>[3,2]
[-2,-1,5,-3,-4]=>[2,1,5,3,4]=>[2,1,5,3,4]=>[3,2]
[-2,-1,-5,3,4]=>[2,1,5,3,4]=>[2,1,5,3,4]=>[3,2]
[-2,-1,-5,3,-4]=>[2,1,5,3,4]=>[2,1,5,3,4]=>[3,2]
[-2,-1,-5,-3,4]=>[2,1,5,3,4]=>[2,1,5,3,4]=>[3,2]
[-2,-1,-5,-3,-4]=>[2,1,5,3,4]=>[2,1,5,3,4]=>[3,2]
[2,1,5,4,3]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[3,2]
[2,1,5,4,-3]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[3,2]
[2,1,5,-4,3]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[3,2]
[2,1,5,-4,-3]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[3,2]
[2,1,-5,4,3]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[3,2]
[2,1,-5,4,-3]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[3,2]
[2,1,-5,-4,3]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[3,2]
[2,1,-5,-4,-3]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[3,2]
[2,-1,5,4,3]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[3,2]
[2,-1,5,4,-3]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[3,2]
[2,-1,5,-4,3]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[3,2]
[2,-1,5,-4,-3]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[3,2]
[2,-1,-5,4,3]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[3,2]
[2,-1,-5,4,-3]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[3,2]
[2,-1,-5,-4,3]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[3,2]
[2,-1,-5,-4,-3]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[3,2]
[-2,1,5,4,3]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[3,2]
[-2,1,5,4,-3]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[3,2]
[-2,1,5,-4,3]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[3,2]
[-2,1,5,-4,-3]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[3,2]
[-2,1,-5,4,3]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[3,2]
[-2,1,-5,4,-3]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[3,2]
[-2,1,-5,-4,3]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[3,2]
[-2,1,-5,-4,-3]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[3,2]
[-2,-1,5,4,3]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[3,2]
[-2,-1,5,4,-3]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[3,2]
[-2,-1,5,-4,3]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[3,2]
[-2,-1,5,-4,-3]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[3,2]
[-2,-1,-5,4,3]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[3,2]
[-2,-1,-5,4,-3]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[3,2]
[-2,-1,-5,-4,3]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[3,2]
[-2,-1,-5,-4,-3]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[3,2]
[2,3,1,4,5]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,1,1,1]
[2,3,1,4,-5]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,1,1,1]
[2,3,1,-4,5]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,1,1,1]
[2,3,1,-4,-5]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,1,1,1]
[2,3,-1,4,5]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,1,1,1]
[2,3,-1,4,-5]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,1,1,1]
[2,3,-1,-4,5]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,1,1,1]
[2,3,-1,-4,-5]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,1,1,1]
[2,-3,1,4,5]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,1,1,1]
[2,-3,1,4,-5]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,1,1,1]
[2,-3,1,-4,5]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,1,1,1]
[2,-3,1,-4,-5]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,1,1,1]
[2,-3,-1,4,5]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,1,1,1]
[2,-3,-1,4,-5]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,1,1,1]
[2,-3,-1,-4,5]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,1,1,1]
[2,-3,-1,-4,-5]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,1,1,1]
[-2,3,1,4,5]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,1,1,1]
[-2,3,1,4,-5]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,1,1,1]
[-2,3,1,-4,5]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,1,1,1]
[-2,3,1,-4,-5]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,1,1,1]
[-2,3,-1,4,5]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,1,1,1]
[-2,3,-1,4,-5]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,1,1,1]
[-2,3,-1,-4,5]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,1,1,1]
[-2,3,-1,-4,-5]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,1,1,1]
[-2,-3,1,4,5]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,1,1,1]
[-2,-3,1,4,-5]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,1,1,1]
[-2,-3,1,-4,5]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,1,1,1]
[-2,-3,1,-4,-5]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,1,1,1]
[-2,-3,-1,4,5]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,1,1,1]
[-2,-3,-1,4,-5]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,1,1,1]
[-2,-3,-1,-4,5]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,1,1,1]
[-2,-3,-1,-4,-5]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,1,1,1]
[2,3,1,5,4]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[2,2,1]
[2,3,1,5,-4]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[2,2,1]
[2,3,1,-5,4]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[2,2,1]
[2,3,1,-5,-4]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[2,2,1]
[2,3,-1,5,4]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[2,2,1]
[2,3,-1,5,-4]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[2,2,1]
[2,3,-1,-5,4]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[2,2,1]
[2,3,-1,-5,-4]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[2,2,1]
[2,-3,1,5,4]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[2,2,1]
[2,-3,1,5,-4]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[2,2,1]
[2,-3,1,-5,4]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[2,2,1]
[2,-3,1,-5,-4]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[2,2,1]
[2,-3,-1,5,4]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[2,2,1]
[2,-3,-1,5,-4]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[2,2,1]
[2,-3,-1,-5,4]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[2,2,1]
[2,-3,-1,-5,-4]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[2,2,1]
[-2,3,1,5,4]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[2,2,1]
[-2,3,1,5,-4]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[2,2,1]
[-2,3,1,-5,4]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[2,2,1]
[-2,3,1,-5,-4]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[2,2,1]
[-2,3,-1,5,4]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[2,2,1]
[-2,3,-1,5,-4]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[2,2,1]
[-2,3,-1,-5,4]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[2,2,1]
[-2,3,-1,-5,-4]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[2,2,1]
[-2,-3,1,5,4]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[2,2,1]
[-2,-3,1,5,-4]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[2,2,1]
[-2,-3,1,-5,4]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[2,2,1]
[-2,-3,1,-5,-4]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[2,2,1]
[-2,-3,-1,5,4]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[2,2,1]
[-2,-3,-1,5,-4]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[2,2,1]
[-2,-3,-1,-5,4]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[2,2,1]
[-2,-3,-1,-5,-4]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[2,2,1]
[2,3,4,1,5]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,1,1,1]
[2,3,4,1,-5]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,1,1,1]
[2,3,4,-1,5]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,1,1,1]
[2,3,4,-1,-5]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,1,1,1]
[2,3,-4,1,5]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,1,1,1]
[2,3,-4,1,-5]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,1,1,1]
[2,3,-4,-1,5]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,1,1,1]
[2,3,-4,-1,-5]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,1,1,1]
[2,-3,4,1,5]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,1,1,1]
[2,-3,4,1,-5]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,1,1,1]
[2,-3,4,-1,5]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,1,1,1]
[2,-3,4,-1,-5]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,1,1,1]
[2,-3,-4,1,5]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,1,1,1]
[2,-3,-4,1,-5]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,1,1,1]
[2,-3,-4,-1,5]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,1,1,1]
[2,-3,-4,-1,-5]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,1,1,1]
[-2,3,4,1,5]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,1,1,1]
[-2,3,4,1,-5]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,1,1,1]
[-2,3,4,-1,5]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,1,1,1]
[-2,3,4,-1,-5]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,1,1,1]
[-2,3,-4,1,5]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,1,1,1]
[-2,3,-4,1,-5]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,1,1,1]
[-2,3,-4,-1,5]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,1,1,1]
[-2,3,-4,-1,-5]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,1,1,1]
[-2,-3,4,1,5]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,1,1,1]
[-2,-3,4,1,-5]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,1,1,1]
[-2,-3,4,-1,5]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,1,1,1]
[-2,-3,4,-1,-5]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,1,1,1]
[-2,-3,-4,1,5]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,1,1,1]
[-2,-3,-4,1,-5]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,1,1,1]
[-2,-3,-4,-1,5]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,1,1,1]
[-2,-3,-4,-1,-5]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,1,1,1]
[2,3,4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,1,1,1]
[2,3,4,5,-1]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,1,1,1]
[2,3,4,-5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,1,1,1]
[2,3,4,-5,-1]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,1,1,1]
[2,3,-4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,1,1,1]
[2,3,-4,5,-1]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,1,1,1]
[2,3,-4,-5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,1,1,1]
[2,3,-4,-5,-1]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,1,1,1]
[2,-3,4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,1,1,1]
[2,-3,4,5,-1]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,1,1,1]
[2,-3,4,-5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,1,1,1]
[2,-3,4,-5,-1]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,1,1,1]
[2,-3,-4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,1,1,1]
[2,-3,-4,5,-1]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,1,1,1]
[2,-3,-4,-5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,1,1,1]
[2,-3,-4,-5,-1]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,1,1,1]
[-2,3,4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,1,1,1]
[-2,3,4,5,-1]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,1,1,1]
[-2,3,4,-5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,1,1,1]
[-2,3,4,-5,-1]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,1,1,1]
[-2,3,-4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,1,1,1]
[-2,3,-4,5,-1]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,1,1,1]
[-2,3,-4,-5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,1,1,1]
[-2,3,-4,-5,-1]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,1,1,1]
[-2,-3,4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,1,1,1]
[-2,-3,4,5,-1]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,1,1,1]
[-2,-3,4,-5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,1,1,1]
[-2,-3,4,-5,-1]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,1,1,1]
[-2,-3,-4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,1,1,1]
[-2,-3,-4,5,-1]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,1,1,1]
[-2,-3,-4,-5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,1,1,1]
[-2,-3,-4,-5,-1]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,1,1,1]
[2,3,5,1,4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>[3,1,1]
[2,3,5,1,-4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>[3,1,1]
[2,3,5,-1,4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>[3,1,1]
[2,3,5,-1,-4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>[3,1,1]
[2,3,-5,1,4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>[3,1,1]
[2,3,-5,1,-4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>[3,1,1]
[2,3,-5,-1,4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>[3,1,1]
[2,3,-5,-1,-4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>[3,1,1]
[2,-3,5,1,4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>[3,1,1]
[2,-3,5,1,-4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>[3,1,1]
[2,-3,5,-1,4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>[3,1,1]
[2,-3,5,-1,-4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>[3,1,1]
[2,-3,-5,1,4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>[3,1,1]
[2,-3,-5,1,-4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>[3,1,1]
[2,-3,-5,-1,4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>[3,1,1]
[2,-3,-5,-1,-4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>[3,1,1]
[-2,3,5,1,4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>[3,1,1]
[-2,3,5,1,-4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>[3,1,1]
[-2,3,5,-1,4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>[3,1,1]
[-2,3,5,-1,-4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>[3,1,1]
[-2,3,-5,1,4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>[3,1,1]
[-2,3,-5,1,-4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>[3,1,1]
[-2,3,-5,-1,4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>[3,1,1]
[-2,3,-5,-1,-4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>[3,1,1]
[-2,-3,5,1,4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>[3,1,1]
[-2,-3,5,1,-4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>[3,1,1]
[-2,-3,5,-1,4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>[3,1,1]
[-2,-3,5,-1,-4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>[3,1,1]
[-2,-3,-5,1,4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>[3,1,1]
[-2,-3,-5,1,-4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>[3,1,1]
[-2,-3,-5,-1,4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>[3,1,1]
[-2,-3,-5,-1,-4]=>[2,3,5,1,4]=>[5,2,3,1,4]=>[3,1,1]
[2,3,5,4,1]=>[2,3,5,4,1]=>[4,2,3,5,1]=>[3,1,1]
[2,3,5,4,-1]=>[2,3,5,4,1]=>[4,2,3,5,1]=>[3,1,1]
[2,3,5,-4,1]=>[2,3,5,4,1]=>[4,2,3,5,1]=>[3,1,1]
[2,3,5,-4,-1]=>[2,3,5,4,1]=>[4,2,3,5,1]=>[3,1,1]
[2,3,-5,4,1]=>[2,3,5,4,1]=>[4,2,3,5,1]=>[3,1,1]
[2,3,-5,4,-1]=>[2,3,5,4,1]=>[4,2,3,5,1]=>[3,1,1]
[2,3,-5,-4,1]=>[2,3,5,4,1]=>[4,2,3,5,1]=>[3,1,1]
[2,3,-5,-4,-1]=>[2,3,5,4,1]=>[4,2,3,5,1]=>[3,1,1]
[2,-3,5,4,1]=>[2,3,5,4,1]=>[4,2,3,5,1]=>[3,1,1]
[2,-3,5,4,-1]=>[2,3,5,4,1]=>[4,2,3,5,1]=>[3,1,1]
[2,-3,5,-4,1]=>[2,3,5,4,1]=>[4,2,3,5,1]=>[3,1,1]
[2,-3,5,-4,-1]=>[2,3,5,4,1]=>[4,2,3,5,1]=>[3,1,1]
[2,-3,-5,4,1]=>[2,3,5,4,1]=>[4,2,3,5,1]=>[3,1,1]
[2,-3,-5,4,-1]=>[2,3,5,4,1]=>[4,2,3,5,1]=>[3,1,1]
[2,-3,-5,-4,1]=>[2,3,5,4,1]=>[4,2,3,5,1]=>[3,1,1]
[2,-3,-5,-4,-1]=>[2,3,5,4,1]=>[4,2,3,5,1]=>[3,1,1]
[-2,3,5,4,1]=>[2,3,5,4,1]=>[4,2,3,5,1]=>[3,1,1]
[-2,3,5,4,-1]=>[2,3,5,4,1]=>[4,2,3,5,1]=>[3,1,1]
[-2,3,5,-4,1]=>[2,3,5,4,1]=>[4,2,3,5,1]=>[3,1,1]
[-2,3,5,-4,-1]=>[2,3,5,4,1]=>[4,2,3,5,1]=>[3,1,1]
[-2,3,-5,4,1]=>[2,3,5,4,1]=>[4,2,3,5,1]=>[3,1,1]
[-2,3,-5,4,-1]=>[2,3,5,4,1]=>[4,2,3,5,1]=>[3,1,1]
[-2,3,-5,-4,1]=>[2,3,5,4,1]=>[4,2,3,5,1]=>[3,1,1]
[-2,3,-5,-4,-1]=>[2,3,5,4,1]=>[4,2,3,5,1]=>[3,1,1]
[-2,-3,5,4,1]=>[2,3,5,4,1]=>[4,2,3,5,1]=>[3,1,1]
[-2,-3,5,4,-1]=>[2,3,5,4,1]=>[4,2,3,5,1]=>[3,1,1]
[-2,-3,5,-4,1]=>[2,3,5,4,1]=>[4,2,3,5,1]=>[3,1,1]
[-2,-3,5,-4,-1]=>[2,3,5,4,1]=>[4,2,3,5,1]=>[3,1,1]
[-2,-3,-5,4,1]=>[2,3,5,4,1]=>[4,2,3,5,1]=>[3,1,1]
[-2,-3,-5,4,-1]=>[2,3,5,4,1]=>[4,2,3,5,1]=>[3,1,1]
[-2,-3,-5,-4,1]=>[2,3,5,4,1]=>[4,2,3,5,1]=>[3,1,1]
[-2,-3,-5,-4,-1]=>[2,3,5,4,1]=>[4,2,3,5,1]=>[3,1,1]
[2,4,1,3,5]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[3,1,1]
[2,4,1,3,-5]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[3,1,1]
[2,4,1,-3,5]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[3,1,1]
[2,4,1,-3,-5]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[3,1,1]
[2,4,-1,3,5]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[3,1,1]
[2,4,-1,3,-5]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[3,1,1]
[2,4,-1,-3,5]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[3,1,1]
[2,4,-1,-3,-5]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[3,1,1]
[2,-4,1,3,5]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[3,1,1]
[2,-4,1,3,-5]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[3,1,1]
[2,-4,1,-3,5]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[3,1,1]
[2,-4,1,-3,-5]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[3,1,1]
[2,-4,-1,3,5]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[3,1,1]
[2,-4,-1,3,-5]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[3,1,1]
[2,-4,-1,-3,5]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[3,1,1]
[2,-4,-1,-3,-5]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[3,1,1]
[-2,4,1,3,5]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[3,1,1]
[-2,4,1,3,-5]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[3,1,1]
[-2,4,1,-3,5]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[3,1,1]
[-2,4,1,-3,-5]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[3,1,1]
[-2,4,-1,3,5]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[3,1,1]
[-2,4,-1,3,-5]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[3,1,1]
[-2,4,-1,-3,5]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[3,1,1]
[-2,4,-1,-3,-5]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[3,1,1]
[-2,-4,1,3,5]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[3,1,1]
[-2,-4,1,3,-5]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[3,1,1]
[-2,-4,1,-3,5]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[3,1,1]
[-2,-4,1,-3,-5]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[3,1,1]
[-2,-4,-1,3,5]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[3,1,1]
[-2,-4,-1,3,-5]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[3,1,1]
[-2,-4,-1,-3,5]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[3,1,1]
[-2,-4,-1,-3,-5]=>[2,4,1,3,5]=>[4,2,1,3,5]=>[3,1,1]
[2,4,1,5,3]=>[2,4,1,5,3]=>[4,2,5,1,3]=>[2,2,1]
[2,4,1,5,-3]=>[2,4,1,5,3]=>[4,2,5,1,3]=>[2,2,1]
[2,4,1,-5,3]=>[2,4,1,5,3]=>[4,2,5,1,3]=>[2,2,1]
[2,4,1,-5,-3]=>[2,4,1,5,3]=>[4,2,5,1,3]=>[2,2,1]
[2,4,-1,5,3]=>[2,4,1,5,3]=>[4,2,5,1,3]=>[2,2,1]
[2,4,-1,5,-3]=>[2,4,1,5,3]=>[4,2,5,1,3]=>[2,2,1]
[2,4,-1,-5,3]=>[2,4,1,5,3]=>[4,2,5,1,3]=>[2,2,1]
[2,4,-1,-5,-3]=>[2,4,1,5,3]=>[4,2,5,1,3]=>[2,2,1]
[2,-4,1,5,3]=>[2,4,1,5,3]=>[4,2,5,1,3]=>[2,2,1]
[2,-4,1,5,-3]=>[2,4,1,5,3]=>[4,2,5,1,3]=>[2,2,1]
[2,-4,1,-5,3]=>[2,4,1,5,3]=>[4,2,5,1,3]=>[2,2,1]
[2,-4,1,-5,-3]=>[2,4,1,5,3]=>[4,2,5,1,3]=>[2,2,1]
[2,-4,-1,5,3]=>[2,4,1,5,3]=>[4,2,5,1,3]=>[2,2,1]
[2,-4,-1,5,-3]=>[2,4,1,5,3]=>[4,2,5,1,3]=>[2,2,1]
[2,-4,-1,-5,3]=>[2,4,1,5,3]=>[4,2,5,1,3]=>[2,2,1]
[2,-4,-1,-5,-3]=>[2,4,1,5,3]=>[4,2,5,1,3]=>[2,2,1]
[-2,4,1,5,3]=>[2,4,1,5,3]=>[4,2,5,1,3]=>[2,2,1]
[-2,4,1,5,-3]=>[2,4,1,5,3]=>[4,2,5,1,3]=>[2,2,1]
[-2,4,1,-5,3]=>[2,4,1,5,3]=>[4,2,5,1,3]=>[2,2,1]
[-2,4,1,-5,-3]=>[2,4,1,5,3]=>[4,2,5,1,3]=>[2,2,1]
[-2,4,-1,5,3]=>[2,4,1,5,3]=>[4,2,5,1,3]=>[2,2,1]
[-2,4,-1,5,-3]=>[2,4,1,5,3]=>[4,2,5,1,3]=>[2,2,1]
[-2,4,-1,-5,3]=>[2,4,1,5,3]=>[4,2,5,1,3]=>[2,2,1]
[-2,4,-1,-5,-3]=>[2,4,1,5,3]=>[4,2,5,1,3]=>[2,2,1]
[-2,-4,1,5,3]=>[2,4,1,5,3]=>[4,2,5,1,3]=>[2,2,1]
[-2,-4,1,5,-3]=>[2,4,1,5,3]=>[4,2,5,1,3]=>[2,2,1]
[-2,-4,1,-5,3]=>[2,4,1,5,3]=>[4,2,5,1,3]=>[2,2,1]
[-2,-4,1,-5,-3]=>[2,4,1,5,3]=>[4,2,5,1,3]=>[2,2,1]
[-2,-4,-1,5,3]=>[2,4,1,5,3]=>[4,2,5,1,3]=>[2,2,1]
[-2,-4,-1,5,-3]=>[2,4,1,5,3]=>[4,2,5,1,3]=>[2,2,1]
[-2,-4,-1,-5,3]=>[2,4,1,5,3]=>[4,2,5,1,3]=>[2,2,1]
[-2,-4,-1,-5,-3]=>[2,4,1,5,3]=>[4,2,5,1,3]=>[2,2,1]
[2,4,3,1,5]=>[2,4,3,1,5]=>[3,2,4,1,5]=>[3,1,1]
[2,4,3,1,-5]=>[2,4,3,1,5]=>[3,2,4,1,5]=>[3,1,1]
[2,4,3,-1,5]=>[2,4,3,1,5]=>[3,2,4,1,5]=>[3,1,1]
[2,4,3,-1,-5]=>[2,4,3,1,5]=>[3,2,4,1,5]=>[3,1,1]
[2,4,-3,1,5]=>[2,4,3,1,5]=>[3,2,4,1,5]=>[3,1,1]
[2,4,-3,1,-5]=>[2,4,3,1,5]=>[3,2,4,1,5]=>[3,1,1]
[2,4,-3,-1,5]=>[2,4,3,1,5]=>[3,2,4,1,5]=>[3,1,1]
[2,4,-3,-1,-5]=>[2,4,3,1,5]=>[3,2,4,1,5]=>[3,1,1]
[2,-4,3,1,5]=>[2,4,3,1,5]=>[3,2,4,1,5]=>[3,1,1]
[2,-4,3,1,-5]=>[2,4,3,1,5]=>[3,2,4,1,5]=>[3,1,1]
[2,-4,3,-1,5]=>[2,4,3,1,5]=>[3,2,4,1,5]=>[3,1,1]
[2,-4,3,-1,-5]=>[2,4,3,1,5]=>[3,2,4,1,5]=>[3,1,1]
[2,-4,-3,1,5]=>[2,4,3,1,5]=>[3,2,4,1,5]=>[3,1,1]
[2,-4,-3,1,-5]=>[2,4,3,1,5]=>[3,2,4,1,5]=>[3,1,1]
[2,-4,-3,-1,5]=>[2,4,3,1,5]=>[3,2,4,1,5]=>[3,1,1]
[2,-4,-3,-1,-5]=>[2,4,3,1,5]=>[3,2,4,1,5]=>[3,1,1]
[-2,4,3,1,5]=>[2,4,3,1,5]=>[3,2,4,1,5]=>[3,1,1]
[-2,4,3,1,-5]=>[2,4,3,1,5]=>[3,2,4,1,5]=>[3,1,1]
[-2,4,3,-1,5]=>[2,4,3,1,5]=>[3,2,4,1,5]=>[3,1,1]
[-2,4,3,-1,-5]=>[2,4,3,1,5]=>[3,2,4,1,5]=>[3,1,1]
[-2,4,-3,1,5]=>[2,4,3,1,5]=>[3,2,4,1,5]=>[3,1,1]
[-2,4,-3,1,-5]=>[2,4,3,1,5]=>[3,2,4,1,5]=>[3,1,1]
[-2,4,-3,-1,5]=>[2,4,3,1,5]=>[3,2,4,1,5]=>[3,1,1]
[-2,4,-3,-1,-5]=>[2,4,3,1,5]=>[3,2,4,1,5]=>[3,1,1]
[-2,-4,3,1,5]=>[2,4,3,1,5]=>[3,2,4,1,5]=>[3,1,1]
[-2,-4,3,1,-5]=>[2,4,3,1,5]=>[3,2,4,1,5]=>[3,1,1]
[-2,-4,3,-1,5]=>[2,4,3,1,5]=>[3,2,4,1,5]=>[3,1,1]
[-2,-4,3,-1,-5]=>[2,4,3,1,5]=>[3,2,4,1,5]=>[3,1,1]
[-2,-4,-3,1,5]=>[2,4,3,1,5]=>[3,2,4,1,5]=>[3,1,1]
[-2,-4,-3,1,-5]=>[2,4,3,1,5]=>[3,2,4,1,5]=>[3,1,1]
[-2,-4,-3,-1,5]=>[2,4,3,1,5]=>[3,2,4,1,5]=>[3,1,1]
[-2,-4,-3,-1,-5]=>[2,4,3,1,5]=>[3,2,4,1,5]=>[3,1,1]
[2,4,3,5,1]=>[2,4,3,5,1]=>[5,2,4,3,1]=>[2,2,1]
[2,4,3,5,-1]=>[2,4,3,5,1]=>[5,2,4,3,1]=>[2,2,1]
[2,4,3,-5,1]=>[2,4,3,5,1]=>[5,2,4,3,1]=>[2,2,1]
[2,4,3,-5,-1]=>[2,4,3,5,1]=>[5,2,4,3,1]=>[2,2,1]
[2,4,-3,5,1]=>[2,4,3,5,1]=>[5,2,4,3,1]=>[2,2,1]
[2,4,-3,5,-1]=>[2,4,3,5,1]=>[5,2,4,3,1]=>[2,2,1]
[2,4,-3,-5,1]=>[2,4,3,5,1]=>[5,2,4,3,1]=>[2,2,1]
[2,4,-3,-5,-1]=>[2,4,3,5,1]=>[5,2,4,3,1]=>[2,2,1]
[2,-4,3,5,1]=>[2,4,3,5,1]=>[5,2,4,3,1]=>[2,2,1]
[2,-4,3,5,-1]=>[2,4,3,5,1]=>[5,2,4,3,1]=>[2,2,1]
[2,-4,3,-5,1]=>[2,4,3,5,1]=>[5,2,4,3,1]=>[2,2,1]
[2,-4,3,-5,-1]=>[2,4,3,5,1]=>[5,2,4,3,1]=>[2,2,1]
[2,-4,-3,5,1]=>[2,4,3,5,1]=>[5,2,4,3,1]=>[2,2,1]
[2,-4,-3,5,-1]=>[2,4,3,5,1]=>[5,2,4,3,1]=>[2,2,1]
[2,-4,-3,-5,1]=>[2,4,3,5,1]=>[5,2,4,3,1]=>[2,2,1]
[2,-4,-3,-5,-1]=>[2,4,3,5,1]=>[5,2,4,3,1]=>[2,2,1]
[-2,4,3,5,1]=>[2,4,3,5,1]=>[5,2,4,3,1]=>[2,2,1]
[-2,4,3,5,-1]=>[2,4,3,5,1]=>[5,2,4,3,1]=>[2,2,1]
[-2,4,3,-5,1]=>[2,4,3,5,1]=>[5,2,4,3,1]=>[2,2,1]
[-2,4,3,-5,-1]=>[2,4,3,5,1]=>[5,2,4,3,1]=>[2,2,1]
[-2,4,-3,5,1]=>[2,4,3,5,1]=>[5,2,4,3,1]=>[2,2,1]
[-2,4,-3,5,-1]=>[2,4,3,5,1]=>[5,2,4,3,1]=>[2,2,1]
[-2,4,-3,-5,1]=>[2,4,3,5,1]=>[5,2,4,3,1]=>[2,2,1]
[-2,4,-3,-5,-1]=>[2,4,3,5,1]=>[5,2,4,3,1]=>[2,2,1]
[-2,-4,3,5,1]=>[2,4,3,5,1]=>[5,2,4,3,1]=>[2,2,1]
[-2,-4,3,5,-1]=>[2,4,3,5,1]=>[5,2,4,3,1]=>[2,2,1]
[-2,-4,3,-5,1]=>[2,4,3,5,1]=>[5,2,4,3,1]=>[2,2,1]
[-2,-4,3,-5,-1]=>[2,4,3,5,1]=>[5,2,4,3,1]=>[2,2,1]
[-2,-4,-3,5,1]=>[2,4,3,5,1]=>[5,2,4,3,1]=>[2,2,1]
[-2,-4,-3,5,-1]=>[2,4,3,5,1]=>[5,2,4,3,1]=>[2,2,1]
[-2,-4,-3,-5,1]=>[2,4,3,5,1]=>[5,2,4,3,1]=>[2,2,1]
[-2,-4,-3,-5,-1]=>[2,4,3,5,1]=>[5,2,4,3,1]=>[2,2,1]
[2,4,5,1,3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>[3,1,1]
[2,4,5,1,-3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>[3,1,1]
[2,4,5,-1,3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>[3,1,1]
[2,4,5,-1,-3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>[3,1,1]
[2,4,-5,1,3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>[3,1,1]
[2,4,-5,1,-3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>[3,1,1]
[2,4,-5,-1,3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>[3,1,1]
[2,4,-5,-1,-3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>[3,1,1]
[2,-4,5,1,3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>[3,1,1]
[2,-4,5,1,-3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>[3,1,1]
[2,-4,5,-1,3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>[3,1,1]
[2,-4,5,-1,-3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>[3,1,1]
[2,-4,-5,1,3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>[3,1,1]
[2,-4,-5,1,-3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>[3,1,1]
[2,-4,-5,-1,3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>[3,1,1]
[2,-4,-5,-1,-3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>[3,1,1]
[-2,4,5,1,3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>[3,1,1]
[-2,4,5,1,-3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>[3,1,1]
[-2,4,5,-1,3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>[3,1,1]
[-2,4,5,-1,-3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>[3,1,1]
[-2,4,-5,1,3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>[3,1,1]
[-2,4,-5,1,-3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>[3,1,1]
[-2,4,-5,-1,3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>[3,1,1]
[-2,4,-5,-1,-3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>[3,1,1]
[-2,-4,5,1,3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>[3,1,1]
[-2,-4,5,1,-3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>[3,1,1]
[-2,-4,5,-1,3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>[3,1,1]
[-2,-4,5,-1,-3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>[3,1,1]
[-2,-4,-5,1,3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>[3,1,1]
[-2,-4,-5,1,-3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>[3,1,1]
[-2,-4,-5,-1,3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>[3,1,1]
[-2,-4,-5,-1,-3]=>[2,4,5,1,3]=>[5,2,1,4,3]=>[3,1,1]
[2,4,5,3,1]=>[2,4,5,3,1]=>[3,2,5,4,1]=>[3,1,1]
[2,4,5,3,-1]=>[2,4,5,3,1]=>[3,2,5,4,1]=>[3,1,1]
[2,4,5,-3,1]=>[2,4,5,3,1]=>[3,2,5,4,1]=>[3,1,1]
[2,4,5,-3,-1]=>[2,4,5,3,1]=>[3,2,5,4,1]=>[3,1,1]
[2,4,-5,3,1]=>[2,4,5,3,1]=>[3,2,5,4,1]=>[3,1,1]
[2,4,-5,3,-1]=>[2,4,5,3,1]=>[3,2,5,4,1]=>[3,1,1]
[2,4,-5,-3,1]=>[2,4,5,3,1]=>[3,2,5,4,1]=>[3,1,1]
[2,4,-5,-3,-1]=>[2,4,5,3,1]=>[3,2,5,4,1]=>[3,1,1]
[2,-4,5,3,1]=>[2,4,5,3,1]=>[3,2,5,4,1]=>[3,1,1]
[2,-4,5,3,-1]=>[2,4,5,3,1]=>[3,2,5,4,1]=>[3,1,1]
[2,-4,5,-3,1]=>[2,4,5,3,1]=>[3,2,5,4,1]=>[3,1,1]
[2,-4,5,-3,-1]=>[2,4,5,3,1]=>[3,2,5,4,1]=>[3,1,1]
[2,-4,-5,3,1]=>[2,4,5,3,1]=>[3,2,5,4,1]=>[3,1,1]
[2,-4,-5,3,-1]=>[2,4,5,3,1]=>[3,2,5,4,1]=>[3,1,1]
[2,-4,-5,-3,1]=>[2,4,5,3,1]=>[3,2,5,4,1]=>[3,1,1]
[2,-4,-5,-3,-1]=>[2,4,5,3,1]=>[3,2,5,4,1]=>[3,1,1]
[-2,4,5,3,1]=>[2,4,5,3,1]=>[3,2,5,4,1]=>[3,1,1]
[-2,4,5,3,-1]=>[2,4,5,3,1]=>[3,2,5,4,1]=>[3,1,1]
[-2,4,5,-3,1]=>[2,4,5,3,1]=>[3,2,5,4,1]=>[3,1,1]
[-2,4,5,-3,-1]=>[2,4,5,3,1]=>[3,2,5,4,1]=>[3,1,1]
[-2,4,-5,3,1]=>[2,4,5,3,1]=>[3,2,5,4,1]=>[3,1,1]
[-2,4,-5,3,-1]=>[2,4,5,3,1]=>[3,2,5,4,1]=>[3,1,1]
[-2,4,-5,-3,1]=>[2,4,5,3,1]=>[3,2,5,4,1]=>[3,1,1]
[-2,4,-5,-3,-1]=>[2,4,5,3,1]=>[3,2,5,4,1]=>[3,1,1]
[-2,-4,5,3,1]=>[2,4,5,3,1]=>[3,2,5,4,1]=>[3,1,1]
[-2,-4,5,3,-1]=>[2,4,5,3,1]=>[3,2,5,4,1]=>[3,1,1]
[-2,-4,5,-3,1]=>[2,4,5,3,1]=>[3,2,5,4,1]=>[3,1,1]
[-2,-4,5,-3,-1]=>[2,4,5,3,1]=>[3,2,5,4,1]=>[3,1,1]
[-2,-4,-5,3,1]=>[2,4,5,3,1]=>[3,2,5,4,1]=>[3,1,1]
[-2,-4,-5,3,-1]=>[2,4,5,3,1]=>[3,2,5,4,1]=>[3,1,1]
[-2,-4,-5,-3,1]=>[2,4,5,3,1]=>[3,2,5,4,1]=>[3,1,1]
[-2,-4,-5,-3,-1]=>[2,4,5,3,1]=>[3,2,5,4,1]=>[3,1,1]
[2,5,1,3,4]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[4,1]
[2,5,1,3,-4]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[4,1]
[2,5,1,-3,4]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[4,1]
[2,5,1,-3,-4]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[4,1]
[2,5,-1,3,4]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[4,1]
[2,5,-1,3,-4]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[4,1]
[2,5,-1,-3,4]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[4,1]
[2,5,-1,-3,-4]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[4,1]
[2,-5,1,3,4]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[4,1]
[2,-5,1,3,-4]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[4,1]
[2,-5,1,-3,4]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[4,1]
[2,-5,1,-3,-4]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[4,1]
[2,-5,-1,3,4]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[4,1]
[2,-5,-1,3,-4]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[4,1]
[2,-5,-1,-3,4]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[4,1]
[2,-5,-1,-3,-4]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[4,1]
[-2,5,1,3,4]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[4,1]
[-2,5,1,3,-4]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[4,1]
[-2,5,1,-3,4]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[4,1]
[-2,5,1,-3,-4]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[4,1]
[-2,5,-1,3,4]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[4,1]
[-2,5,-1,3,-4]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[4,1]
[-2,5,-1,-3,4]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[4,1]
[-2,5,-1,-3,-4]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[4,1]
[-2,-5,1,3,4]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[4,1]
[-2,-5,1,3,-4]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[4,1]
[-2,-5,1,-3,4]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[4,1]
[-2,-5,1,-3,-4]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[4,1]
[-2,-5,-1,3,4]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[4,1]
[-2,-5,-1,3,-4]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[4,1]
[-2,-5,-1,-3,4]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[4,1]
[-2,-5,-1,-3,-4]=>[2,5,1,3,4]=>[5,2,1,3,4]=>[4,1]
[2,5,1,4,3]=>[2,5,1,4,3]=>[5,2,4,1,3]=>[4,1]
[2,5,1,4,-3]=>[2,5,1,4,3]=>[5,2,4,1,3]=>[4,1]
[2,5,1,-4,3]=>[2,5,1,4,3]=>[5,2,4,1,3]=>[4,1]
[2,5,1,-4,-3]=>[2,5,1,4,3]=>[5,2,4,1,3]=>[4,1]
[2,5,-1,4,3]=>[2,5,1,4,3]=>[5,2,4,1,3]=>[4,1]
[2,5,-1,4,-3]=>[2,5,1,4,3]=>[5,2,4,1,3]=>[4,1]
[2,5,-1,-4,3]=>[2,5,1,4,3]=>[5,2,4,1,3]=>[4,1]
[2,5,-1,-4,-3]=>[2,5,1,4,3]=>[5,2,4,1,3]=>[4,1]
[2,-5,1,4,3]=>[2,5,1,4,3]=>[5,2,4,1,3]=>[4,1]
[2,-5,1,4,-3]=>[2,5,1,4,3]=>[5,2,4,1,3]=>[4,1]
[2,-5,1,-4,3]=>[2,5,1,4,3]=>[5,2,4,1,3]=>[4,1]
[2,-5,1,-4,-3]=>[2,5,1,4,3]=>[5,2,4,1,3]=>[4,1]
[2,-5,-1,4,3]=>[2,5,1,4,3]=>[5,2,4,1,3]=>[4,1]
[2,-5,-1,4,-3]=>[2,5,1,4,3]=>[5,2,4,1,3]=>[4,1]
[2,-5,-1,-4,3]=>[2,5,1,4,3]=>[5,2,4,1,3]=>[4,1]
[2,-5,-1,-4,-3]=>[2,5,1,4,3]=>[5,2,4,1,3]=>[4,1]
[-2,5,1,4,3]=>[2,5,1,4,3]=>[5,2,4,1,3]=>[4,1]
[-2,5,1,4,-3]=>[2,5,1,4,3]=>[5,2,4,1,3]=>[4,1]
[-2,5,1,-4,3]=>[2,5,1,4,3]=>[5,2,4,1,3]=>[4,1]
[-2,5,1,-4,-3]=>[2,5,1,4,3]=>[5,2,4,1,3]=>[4,1]
[-2,5,-1,4,3]=>[2,5,1,4,3]=>[5,2,4,1,3]=>[4,1]
[-2,5,-1,4,-3]=>[2,5,1,4,3]=>[5,2,4,1,3]=>[4,1]
[-2,5,-1,-4,3]=>[2,5,1,4,3]=>[5,2,4,1,3]=>[4,1]
[-2,5,-1,-4,-3]=>[2,5,1,4,3]=>[5,2,4,1,3]=>[4,1]
[-2,-5,1,4,3]=>[2,5,1,4,3]=>[5,2,4,1,3]=>[4,1]
[-2,-5,1,4,-3]=>[2,5,1,4,3]=>[5,2,4,1,3]=>[4,1]
[-2,-5,1,-4,3]=>[2,5,1,4,3]=>[5,2,4,1,3]=>[4,1]
[-2,-5,1,-4,-3]=>[2,5,1,4,3]=>[5,2,4,1,3]=>[4,1]
[-2,-5,-1,4,3]=>[2,5,1,4,3]=>[5,2,4,1,3]=>[4,1]
[-2,-5,-1,4,-3]=>[2,5,1,4,3]=>[5,2,4,1,3]=>[4,1]
[-2,-5,-1,-4,3]=>[2,5,1,4,3]=>[5,2,4,1,3]=>[4,1]
[-2,-5,-1,-4,-3]=>[2,5,1,4,3]=>[5,2,4,1,3]=>[4,1]
[2,5,3,1,4]=>[2,5,3,1,4]=>[3,2,5,1,4]=>[4,1]
[2,5,3,1,-4]=>[2,5,3,1,4]=>[3,2,5,1,4]=>[4,1]
[2,5,3,-1,4]=>[2,5,3,1,4]=>[3,2,5,1,4]=>[4,1]
[2,5,3,-1,-4]=>[2,5,3,1,4]=>[3,2,5,1,4]=>[4,1]
[2,5,-3,1,4]=>[2,5,3,1,4]=>[3,2,5,1,4]=>[4,1]
[2,5,-3,1,-4]=>[2,5,3,1,4]=>[3,2,5,1,4]=>[4,1]
[2,5,-3,-1,4]=>[2,5,3,1,4]=>[3,2,5,1,4]=>[4,1]
[2,5,-3,-1,-4]=>[2,5,3,1,4]=>[3,2,5,1,4]=>[4,1]
[2,-5,3,1,4]=>[2,5,3,1,4]=>[3,2,5,1,4]=>[4,1]
[2,-5,3,1,-4]=>[2,5,3,1,4]=>[3,2,5,1,4]=>[4,1]
[2,-5,3,-1,4]=>[2,5,3,1,4]=>[3,2,5,1,4]=>[4,1]
[2,-5,3,-1,-4]=>[2,5,3,1,4]=>[3,2,5,1,4]=>[4,1]
[2,-5,-3,1,4]=>[2,5,3,1,4]=>[3,2,5,1,4]=>[4,1]
[2,-5,-3,1,-4]=>[2,5,3,1,4]=>[3,2,5,1,4]=>[4,1]
[2,-5,-3,-1,4]=>[2,5,3,1,4]=>[3,2,5,1,4]=>[4,1]
[2,-5,-3,-1,-4]=>[2,5,3,1,4]=>[3,2,5,1,4]=>[4,1]
[-2,5,3,1,4]=>[2,5,3,1,4]=>[3,2,5,1,4]=>[4,1]
[-2,5,3,1,-4]=>[2,5,3,1,4]=>[3,2,5,1,4]=>[4,1]
[-2,5,3,-1,4]=>[2,5,3,1,4]=>[3,2,5,1,4]=>[4,1]
[-2,5,3,-1,-4]=>[2,5,3,1,4]=>[3,2,5,1,4]=>[4,1]
[-2,5,-3,1,4]=>[2,5,3,1,4]=>[3,2,5,1,4]=>[4,1]
[-2,5,-3,1,-4]=>[2,5,3,1,4]=>[3,2,5,1,4]=>[4,1]
[-2,5,-3,-1,4]=>[2,5,3,1,4]=>[3,2,5,1,4]=>[4,1]
[-2,5,-3,-1,-4]=>[2,5,3,1,4]=>[3,2,5,1,4]=>[4,1]
[-2,-5,3,1,4]=>[2,5,3,1,4]=>[3,2,5,1,4]=>[4,1]
[-2,-5,3,1,-4]=>[2,5,3,1,4]=>[3,2,5,1,4]=>[4,1]
[-2,-5,3,-1,4]=>[2,5,3,1,4]=>[3,2,5,1,4]=>[4,1]
[-2,-5,3,-1,-4]=>[2,5,3,1,4]=>[3,2,5,1,4]=>[4,1]
[-2,-5,-3,1,4]=>[2,5,3,1,4]=>[3,2,5,1,4]=>[4,1]
[-2,-5,-3,1,-4]=>[2,5,3,1,4]=>[3,2,5,1,4]=>[4,1]
[-2,-5,-3,-1,4]=>[2,5,3,1,4]=>[3,2,5,1,4]=>[4,1]
[-2,-5,-3,-1,-4]=>[2,5,3,1,4]=>[3,2,5,1,4]=>[4,1]
[2,5,3,4,1]=>[2,5,3,4,1]=>[4,2,5,3,1]=>[4,1]
[2,5,3,4,-1]=>[2,5,3,4,1]=>[4,2,5,3,1]=>[4,1]
[2,5,3,-4,1]=>[2,5,3,4,1]=>[4,2,5,3,1]=>[4,1]
[2,5,3,-4,-1]=>[2,5,3,4,1]=>[4,2,5,3,1]=>[4,1]
[2,5,-3,4,1]=>[2,5,3,4,1]=>[4,2,5,3,1]=>[4,1]
[2,5,-3,4,-1]=>[2,5,3,4,1]=>[4,2,5,3,1]=>[4,1]
[2,5,-3,-4,1]=>[2,5,3,4,1]=>[4,2,5,3,1]=>[4,1]
[2,5,-3,-4,-1]=>[2,5,3,4,1]=>[4,2,5,3,1]=>[4,1]
[2,-5,3,4,1]=>[2,5,3,4,1]=>[4,2,5,3,1]=>[4,1]
[2,-5,3,4,-1]=>[2,5,3,4,1]=>[4,2,5,3,1]=>[4,1]
[2,-5,3,-4,1]=>[2,5,3,4,1]=>[4,2,5,3,1]=>[4,1]
[2,-5,3,-4,-1]=>[2,5,3,4,1]=>[4,2,5,3,1]=>[4,1]
[2,-5,-3,4,1]=>[2,5,3,4,1]=>[4,2,5,3,1]=>[4,1]
[2,-5,-3,4,-1]=>[2,5,3,4,1]=>[4,2,5,3,1]=>[4,1]
[2,-5,-3,-4,1]=>[2,5,3,4,1]=>[4,2,5,3,1]=>[4,1]
[2,-5,-3,-4,-1]=>[2,5,3,4,1]=>[4,2,5,3,1]=>[4,1]
[-2,5,3,4,1]=>[2,5,3,4,1]=>[4,2,5,3,1]=>[4,1]
[-2,5,3,4,-1]=>[2,5,3,4,1]=>[4,2,5,3,1]=>[4,1]
[-2,5,3,-4,1]=>[2,5,3,4,1]=>[4,2,5,3,1]=>[4,1]
[-2,5,3,-4,-1]=>[2,5,3,4,1]=>[4,2,5,3,1]=>[4,1]
[-2,5,-3,4,1]=>[2,5,3,4,1]=>[4,2,5,3,1]=>[4,1]
[-2,5,-3,4,-1]=>[2,5,3,4,1]=>[4,2,5,3,1]=>[4,1]
[-2,5,-3,-4,1]=>[2,5,3,4,1]=>[4,2,5,3,1]=>[4,1]
[-2,5,-3,-4,-1]=>[2,5,3,4,1]=>[4,2,5,3,1]=>[4,1]
[-2,-5,3,4,1]=>[2,5,3,4,1]=>[4,2,5,3,1]=>[4,1]
[-2,-5,3,4,-1]=>[2,5,3,4,1]=>[4,2,5,3,1]=>[4,1]
[-2,-5,3,-4,1]=>[2,5,3,4,1]=>[4,2,5,3,1]=>[4,1]
[-2,-5,3,-4,-1]=>[2,5,3,4,1]=>[4,2,5,3,1]=>[4,1]
[-2,-5,-3,4,1]=>[2,5,3,4,1]=>[4,2,5,3,1]=>[4,1]
[-2,-5,-3,4,-1]=>[2,5,3,4,1]=>[4,2,5,3,1]=>[4,1]
[-2,-5,-3,-4,1]=>[2,5,3,4,1]=>[4,2,5,3,1]=>[4,1]
[-2,-5,-3,-4,-1]=>[2,5,3,4,1]=>[4,2,5,3,1]=>[4,1]
[2,5,4,1,3]=>[2,5,4,1,3]=>[4,2,1,5,3]=>[4,1]
[2,5,4,1,-3]=>[2,5,4,1,3]=>[4,2,1,5,3]=>[4,1]
[2,5,4,-1,3]=>[2,5,4,1,3]=>[4,2,1,5,3]=>[4,1]
[2,5,4,-1,-3]=>[2,5,4,1,3]=>[4,2,1,5,3]=>[4,1]
[2,5,-4,1,3]=>[2,5,4,1,3]=>[4,2,1,5,3]=>[4,1]
[2,5,-4,1,-3]=>[2,5,4,1,3]=>[4,2,1,5,3]=>[4,1]
[2,5,-4,-1,3]=>[2,5,4,1,3]=>[4,2,1,5,3]=>[4,1]
[2,5,-4,-1,-3]=>[2,5,4,1,3]=>[4,2,1,5,3]=>[4,1]
[2,-5,4,1,3]=>[2,5,4,1,3]=>[4,2,1,5,3]=>[4,1]
[2,-5,4,1,-3]=>[2,5,4,1,3]=>[4,2,1,5,3]=>[4,1]
[2,-5,4,-1,3]=>[2,5,4,1,3]=>[4,2,1,5,3]=>[4,1]
[2,-5,4,-1,-3]=>[2,5,4,1,3]=>[4,2,1,5,3]=>[4,1]
[2,-5,-4,1,3]=>[2,5,4,1,3]=>[4,2,1,5,3]=>[4,1]
[2,-5,-4,1,-3]=>[2,5,4,1,3]=>[4,2,1,5,3]=>[4,1]
[2,-5,-4,-1,3]=>[2,5,4,1,3]=>[4,2,1,5,3]=>[4,1]
[2,-5,-4,-1,-3]=>[2,5,4,1,3]=>[4,2,1,5,3]=>[4,1]
[-2,5,4,1,3]=>[2,5,4,1,3]=>[4,2,1,5,3]=>[4,1]
[-2,5,4,1,-3]=>[2,5,4,1,3]=>[4,2,1,5,3]=>[4,1]
[-2,5,4,-1,3]=>[2,5,4,1,3]=>[4,2,1,5,3]=>[4,1]
[-2,5,4,-1,-3]=>[2,5,4,1,3]=>[4,2,1,5,3]=>[4,1]
[-2,5,-4,1,3]=>[2,5,4,1,3]=>[4,2,1,5,3]=>[4,1]
[-2,5,-4,1,-3]=>[2,5,4,1,3]=>[4,2,1,5,3]=>[4,1]
[-2,5,-4,-1,3]=>[2,5,4,1,3]=>[4,2,1,5,3]=>[4,1]
[-2,5,-4,-1,-3]=>[2,5,4,1,3]=>[4,2,1,5,3]=>[4,1]
[-2,-5,4,1,3]=>[2,5,4,1,3]=>[4,2,1,5,3]=>[4,1]
[-2,-5,4,1,-3]=>[2,5,4,1,3]=>[4,2,1,5,3]=>[4,1]
[-2,-5,4,-1,3]=>[2,5,4,1,3]=>[4,2,1,5,3]=>[4,1]
[-2,-5,4,-1,-3]=>[2,5,4,1,3]=>[4,2,1,5,3]=>[4,1]
[-2,-5,-4,1,3]=>[2,5,4,1,3]=>[4,2,1,5,3]=>[4,1]
[-2,-5,-4,1,-3]=>[2,5,4,1,3]=>[4,2,1,5,3]=>[4,1]
[-2,-5,-4,-1,3]=>[2,5,4,1,3]=>[4,2,1,5,3]=>[4,1]
[-2,-5,-4,-1,-3]=>[2,5,4,1,3]=>[4,2,1,5,3]=>[4,1]
[2,5,4,3,1]=>[2,5,4,3,1]=>[3,2,4,5,1]=>[4,1]
[2,5,4,3,-1]=>[2,5,4,3,1]=>[3,2,4,5,1]=>[4,1]
[2,5,4,-3,1]=>[2,5,4,3,1]=>[3,2,4,5,1]=>[4,1]
[2,5,4,-3,-1]=>[2,5,4,3,1]=>[3,2,4,5,1]=>[4,1]
[2,5,-4,3,1]=>[2,5,4,3,1]=>[3,2,4,5,1]=>[4,1]
[2,5,-4,3,-1]=>[2,5,4,3,1]=>[3,2,4,5,1]=>[4,1]
[2,5,-4,-3,1]=>[2,5,4,3,1]=>[3,2,4,5,1]=>[4,1]
[2,5,-4,-3,-1]=>[2,5,4,3,1]=>[3,2,4,5,1]=>[4,1]
[2,-5,4,3,1]=>[2,5,4,3,1]=>[3,2,4,5,1]=>[4,1]
[2,-5,4,3,-1]=>[2,5,4,3,1]=>[3,2,4,5,1]=>[4,1]
[2,-5,4,-3,1]=>[2,5,4,3,1]=>[3,2,4,5,1]=>[4,1]
[2,-5,4,-3,-1]=>[2,5,4,3,1]=>[3,2,4,5,1]=>[4,1]
[2,-5,-4,3,1]=>[2,5,4,3,1]=>[3,2,4,5,1]=>[4,1]
[2,-5,-4,3,-1]=>[2,5,4,3,1]=>[3,2,4,5,1]=>[4,1]
[2,-5,-4,-3,1]=>[2,5,4,3,1]=>[3,2,4,5,1]=>[4,1]
[2,-5,-4,-3,-1]=>[2,5,4,3,1]=>[3,2,4,5,1]=>[4,1]
[-2,5,4,3,1]=>[2,5,4,3,1]=>[3,2,4,5,1]=>[4,1]
[-2,5,4,3,-1]=>[2,5,4,3,1]=>[3,2,4,5,1]=>[4,1]
[-2,5,4,-3,1]=>[2,5,4,3,1]=>[3,2,4,5,1]=>[4,1]
[-2,5,4,-3,-1]=>[2,5,4,3,1]=>[3,2,4,5,1]=>[4,1]
[-2,5,-4,3,1]=>[2,5,4,3,1]=>[3,2,4,5,1]=>[4,1]
[-2,5,-4,3,-1]=>[2,5,4,3,1]=>[3,2,4,5,1]=>[4,1]
[-2,5,-4,-3,1]=>[2,5,4,3,1]=>[3,2,4,5,1]=>[4,1]
[-2,5,-4,-3,-1]=>[2,5,4,3,1]=>[3,2,4,5,1]=>[4,1]
[-2,-5,4,3,1]=>[2,5,4,3,1]=>[3,2,4,5,1]=>[4,1]
[-2,-5,4,3,-1]=>[2,5,4,3,1]=>[3,2,4,5,1]=>[4,1]
[-2,-5,4,-3,1]=>[2,5,4,3,1]=>[3,2,4,5,1]=>[4,1]
[-2,-5,4,-3,-1]=>[2,5,4,3,1]=>[3,2,4,5,1]=>[4,1]
[-2,-5,-4,3,1]=>[2,5,4,3,1]=>[3,2,4,5,1]=>[4,1]
[-2,-5,-4,3,-1]=>[2,5,4,3,1]=>[3,2,4,5,1]=>[4,1]
[-2,-5,-4,-3,1]=>[2,5,4,3,1]=>[3,2,4,5,1]=>[4,1]
[-2,-5,-4,-3,-1]=>[2,5,4,3,1]=>[3,2,4,5,1]=>[4,1]
[3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,1]
[3,1,2,4,-5]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,1]
[3,1,2,-4,5]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,1]
[3,1,2,-4,-5]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,1]
[3,1,-2,4,5]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,1]
[3,1,-2,4,-5]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,1]
[3,1,-2,-4,5]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,1]
[3,1,-2,-4,-5]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,1]
[3,-1,2,4,5]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,1]
[3,-1,2,4,-5]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,1]
[3,-1,2,-4,5]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,1]
[3,-1,2,-4,-5]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,1]
[3,-1,-2,4,5]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,1]
[3,-1,-2,4,-5]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,1]
[3,-1,-2,-4,5]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,1]
[3,-1,-2,-4,-5]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,1]
[-3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,1]
[-3,1,2,4,-5]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,1]
[-3,1,2,-4,5]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,1]
[-3,1,2,-4,-5]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,1]
[-3,1,-2,4,5]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,1]
[-3,1,-2,4,-5]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,1]
[-3,1,-2,-4,5]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,1]
[-3,1,-2,-4,-5]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,1]
[-3,-1,2,4,5]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,1]
[-3,-1,2,4,-5]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,1]
[-3,-1,2,-4,5]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,1]
[-3,-1,2,-4,-5]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,1]
[-3,-1,-2,4,5]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,1]
[-3,-1,-2,4,-5]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,1]
[-3,-1,-2,-4,5]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,1]
[-3,-1,-2,-4,-5]=>[3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,1]
[3,1,2,5,4]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[3,2]
[3,1,2,5,-4]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[3,2]
[3,1,2,-5,4]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[3,2]
[3,1,2,-5,-4]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[3,2]
[3,1,-2,5,4]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[3,2]
[3,1,-2,5,-4]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[3,2]
[3,1,-2,-5,4]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[3,2]
[3,1,-2,-5,-4]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[3,2]
[3,-1,2,5,4]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[3,2]
[3,-1,2,5,-4]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[3,2]
[3,-1,2,-5,4]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[3,2]
[3,-1,2,-5,-4]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[3,2]
[3,-1,-2,5,4]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[3,2]
[3,-1,-2,5,-4]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[3,2]
[3,-1,-2,-5,4]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[3,2]
[3,-1,-2,-5,-4]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[3,2]
[-3,1,2,5,4]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[3,2]
[-3,1,2,5,-4]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[3,2]
[-3,1,2,-5,4]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[3,2]
[-3,1,2,-5,-4]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[3,2]
[-3,1,-2,5,4]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[3,2]
[-3,1,-2,5,-4]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[3,2]
[-3,1,-2,-5,4]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[3,2]
[-3,1,-2,-5,-4]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[3,2]
[-3,-1,2,5,4]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[3,2]
[-3,-1,2,5,-4]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[3,2]
[-3,-1,2,-5,4]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[3,2]
[-3,-1,2,-5,-4]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[3,2]
[-3,-1,-2,5,4]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[3,2]
[-3,-1,-2,5,-4]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[3,2]
[-3,-1,-2,-5,4]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[3,2]
[-3,-1,-2,-5,-4]=>[3,1,2,5,4]=>[3,1,2,5,4]=>[3,2]
[3,1,4,2,5]=>[3,1,4,2,5]=>[3,4,1,2,5]=>[2,2,1]
[3,1,4,2,-5]=>[3,1,4,2,5]=>[3,4,1,2,5]=>[2,2,1]
[3,1,4,-2,5]=>[3,1,4,2,5]=>[3,4,1,2,5]=>[2,2,1]
[3,1,4,-2,-5]=>[3,1,4,2,5]=>[3,4,1,2,5]=>[2,2,1]
[3,1,-4,2,5]=>[3,1,4,2,5]=>[3,4,1,2,5]=>[2,2,1]
[3,1,-4,2,-5]=>[3,1,4,2,5]=>[3,4,1,2,5]=>[2,2,1]
[3,1,-4,-2,5]=>[3,1,4,2,5]=>[3,4,1,2,5]=>[2,2,1]
[3,1,-4,-2,-5]=>[3,1,4,2,5]=>[3,4,1,2,5]=>[2,2,1]
[3,-1,4,2,5]=>[3,1,4,2,5]=>[3,4,1,2,5]=>[2,2,1]
[3,-1,4,2,-5]=>[3,1,4,2,5]=>[3,4,1,2,5]=>[2,2,1]
[3,-1,4,-2,5]=>[3,1,4,2,5]=>[3,4,1,2,5]=>[2,2,1]
[3,-1,4,-2,-5]=>[3,1,4,2,5]=>[3,4,1,2,5]=>[2,2,1]
[3,-1,-4,2,5]=>[3,1,4,2,5]=>[3,4,1,2,5]=>[2,2,1]
[3,-1,-4,2,-5]=>[3,1,4,2,5]=>[3,4,1,2,5]=>[2,2,1]
[3,-1,-4,-2,5]=>[3,1,4,2,5]=>[3,4,1,2,5]=>[2,2,1]
[3,-1,-4,-2,-5]=>[3,1,4,2,5]=>[3,4,1,2,5]=>[2,2,1]
[-3,1,4,2,5]=>[3,1,4,2,5]=>[3,4,1,2,5]=>[2,2,1]
[-3,1,4,2,-5]=>[3,1,4,2,5]=>[3,4,1,2,5]=>[2,2,1]
[-3,1,4,-2,5]=>[3,1,4,2,5]=>[3,4,1,2,5]=>[2,2,1]
[-3,1,4,-2,-5]=>[3,1,4,2,5]=>[3,4,1,2,5]=>[2,2,1]
[-3,1,-4,2,5]=>[3,1,4,2,5]=>[3,4,1,2,5]=>[2,2,1]
[-3,1,-4,2,-5]=>[3,1,4,2,5]=>[3,4,1,2,5]=>[2,2,1]
[-3,1,-4,-2,5]=>[3,1,4,2,5]=>[3,4,1,2,5]=>[2,2,1]
[-3,1,-4,-2,-5]=>[3,1,4,2,5]=>[3,4,1,2,5]=>[2,2,1]
[-3,-1,4,2,5]=>[3,1,4,2,5]=>[3,4,1,2,5]=>[2,2,1]
[-3,-1,4,2,-5]=>[3,1,4,2,5]=>[3,4,1,2,5]=>[2,2,1]
[-3,-1,4,-2,5]=>[3,1,4,2,5]=>[3,4,1,2,5]=>[2,2,1]
[-3,-1,4,-2,-5]=>[3,1,4,2,5]=>[3,4,1,2,5]=>[2,2,1]
[-3,-1,-4,2,5]=>[3,1,4,2,5]=>[3,4,1,2,5]=>[2,2,1]
[-3,-1,-4,2,-5]=>[3,1,4,2,5]=>[3,4,1,2,5]=>[2,2,1]
[-3,-1,-4,-2,5]=>[3,1,4,2,5]=>[3,4,1,2,5]=>[2,2,1]
[-3,-1,-4,-2,-5]=>[3,1,4,2,5]=>[3,4,1,2,5]=>[2,2,1]
[3,1,4,5,2]=>[3,1,4,5,2]=>[3,5,1,4,2]=>[2,2,1]
[3,1,4,5,-2]=>[3,1,4,5,2]=>[3,5,1,4,2]=>[2,2,1]
[3,1,4,-5,2]=>[3,1,4,5,2]=>[3,5,1,4,2]=>[2,2,1]
[3,1,4,-5,-2]=>[3,1,4,5,2]=>[3,5,1,4,2]=>[2,2,1]
[3,1,-4,5,2]=>[3,1,4,5,2]=>[3,5,1,4,2]=>[2,2,1]
[3,1,-4,5,-2]=>[3,1,4,5,2]=>[3,5,1,4,2]=>[2,2,1]
[3,1,-4,-5,2]=>[3,1,4,5,2]=>[3,5,1,4,2]=>[2,2,1]
[3,1,-4,-5,-2]=>[3,1,4,5,2]=>[3,5,1,4,2]=>[2,2,1]
[3,-1,4,5,2]=>[3,1,4,5,2]=>[3,5,1,4,2]=>[2,2,1]
[3,-1,4,5,-2]=>[3,1,4,5,2]=>[3,5,1,4,2]=>[2,2,1]
[3,-1,4,-5,2]=>[3,1,4,5,2]=>[3,5,1,4,2]=>[2,2,1]
[3,-1,4,-5,-2]=>[3,1,4,5,2]=>[3,5,1,4,2]=>[2,2,1]
[3,-1,-4,5,2]=>[3,1,4,5,2]=>[3,5,1,4,2]=>[2,2,1]
[3,-1,-4,5,-2]=>[3,1,4,5,2]=>[3,5,1,4,2]=>[2,2,1]
[3,-1,-4,-5,2]=>[3,1,4,5,2]=>[3,5,1,4,2]=>[2,2,1]
[3,-1,-4,-5,-2]=>[3,1,4,5,2]=>[3,5,1,4,2]=>[2,2,1]
[-3,1,4,5,2]=>[3,1,4,5,2]=>[3,5,1,4,2]=>[2,2,1]
[-3,1,4,5,-2]=>[3,1,4,5,2]=>[3,5,1,4,2]=>[2,2,1]
[-3,1,4,-5,2]=>[3,1,4,5,2]=>[3,5,1,4,2]=>[2,2,1]
[-3,1,4,-5,-2]=>[3,1,4,5,2]=>[3,5,1,4,2]=>[2,2,1]
[-3,1,-4,5,2]=>[3,1,4,5,2]=>[3,5,1,4,2]=>[2,2,1]
[-3,1,-4,5,-2]=>[3,1,4,5,2]=>[3,5,1,4,2]=>[2,2,1]
[-3,1,-4,-5,2]=>[3,1,4,5,2]=>[3,5,1,4,2]=>[2,2,1]
[-3,1,-4,-5,-2]=>[3,1,4,5,2]=>[3,5,1,4,2]=>[2,2,1]
[-3,-1,4,5,2]=>[3,1,4,5,2]=>[3,5,1,4,2]=>[2,2,1]
[-3,-1,4,5,-2]=>[3,1,4,5,2]=>[3,5,1,4,2]=>[2,2,1]
[-3,-1,4,-5,2]=>[3,1,4,5,2]=>[3,5,1,4,2]=>[2,2,1]
[-3,-1,4,-5,-2]=>[3,1,4,5,2]=>[3,5,1,4,2]=>[2,2,1]
[-3,-1,-4,5,2]=>[3,1,4,5,2]=>[3,5,1,4,2]=>[2,2,1]
[-3,-1,-4,5,-2]=>[3,1,4,5,2]=>[3,5,1,4,2]=>[2,2,1]
[-3,-1,-4,-5,2]=>[3,1,4,5,2]=>[3,5,1,4,2]=>[2,2,1]
[-3,-1,-4,-5,-2]=>[3,1,4,5,2]=>[3,5,1,4,2]=>[2,2,1]
[3,1,5,2,4]=>[3,1,5,2,4]=>[3,5,1,2,4]=>[3,2]
[3,1,5,2,-4]=>[3,1,5,2,4]=>[3,5,1,2,4]=>[3,2]
[3,1,5,-2,4]=>[3,1,5,2,4]=>[3,5,1,2,4]=>[3,2]
[3,1,5,-2,-4]=>[3,1,5,2,4]=>[3,5,1,2,4]=>[3,2]
[3,1,-5,2,4]=>[3,1,5,2,4]=>[3,5,1,2,4]=>[3,2]
[3,1,-5,2,-4]=>[3,1,5,2,4]=>[3,5,1,2,4]=>[3,2]
[3,1,-5,-2,4]=>[3,1,5,2,4]=>[3,5,1,2,4]=>[3,2]
[3,1,-5,-2,-4]=>[3,1,5,2,4]=>[3,5,1,2,4]=>[3,2]
[3,-1,5,2,4]=>[3,1,5,2,4]=>[3,5,1,2,4]=>[3,2]
[3,-1,5,2,-4]=>[3,1,5,2,4]=>[3,5,1,2,4]=>[3,2]
[3,-1,5,-2,4]=>[3,1,5,2,4]=>[3,5,1,2,4]=>[3,2]
[3,-1,5,-2,-4]=>[3,1,5,2,4]=>[3,5,1,2,4]=>[3,2]
[3,-1,-5,2,4]=>[3,1,5,2,4]=>[3,5,1,2,4]=>[3,2]
[3,-1,-5,2,-4]=>[3,1,5,2,4]=>[3,5,1,2,4]=>[3,2]
[3,-1,-5,-2,4]=>[3,1,5,2,4]=>[3,5,1,2,4]=>[3,2]
[3,-1,-5,-2,-4]=>[3,1,5,2,4]=>[3,5,1,2,4]=>[3,2]
[-3,1,5,2,4]=>[3,1,5,2,4]=>[3,5,1,2,4]=>[3,2]
[-3,1,5,2,-4]=>[3,1,5,2,4]=>[3,5,1,2,4]=>[3,2]
[-3,1,5,-2,4]=>[3,1,5,2,4]=>[3,5,1,2,4]=>[3,2]
[-3,1,5,-2,-4]=>[3,1,5,2,4]=>[3,5,1,2,4]=>[3,2]
[-3,1,-5,2,4]=>[3,1,5,2,4]=>[3,5,1,2,4]=>[3,2]
[-3,1,-5,2,-4]=>[3,1,5,2,4]=>[3,5,1,2,4]=>[3,2]
[-3,1,-5,-2,4]=>[3,1,5,2,4]=>[3,5,1,2,4]=>[3,2]
[-3,1,-5,-2,-4]=>[3,1,5,2,4]=>[3,5,1,2,4]=>[3,2]
[-3,-1,5,2,4]=>[3,1,5,2,4]=>[3,5,1,2,4]=>[3,2]
[-3,-1,5,2,-4]=>[3,1,5,2,4]=>[3,5,1,2,4]=>[3,2]
[-3,-1,5,-2,4]=>[3,1,5,2,4]=>[3,5,1,2,4]=>[3,2]
[-3,-1,5,-2,-4]=>[3,1,5,2,4]=>[3,5,1,2,4]=>[3,2]
[-3,-1,-5,2,4]=>[3,1,5,2,4]=>[3,5,1,2,4]=>[3,2]
[-3,-1,-5,2,-4]=>[3,1,5,2,4]=>[3,5,1,2,4]=>[3,2]
[-3,-1,-5,-2,4]=>[3,1,5,2,4]=>[3,5,1,2,4]=>[3,2]
[-3,-1,-5,-2,-4]=>[3,1,5,2,4]=>[3,5,1,2,4]=>[3,2]
[3,1,5,4,2]=>[3,1,5,4,2]=>[3,4,1,5,2]=>[3,2]
[3,1,5,4,-2]=>[3,1,5,4,2]=>[3,4,1,5,2]=>[3,2]
[3,1,5,-4,2]=>[3,1,5,4,2]=>[3,4,1,5,2]=>[3,2]
[3,1,5,-4,-2]=>[3,1,5,4,2]=>[3,4,1,5,2]=>[3,2]
[3,1,-5,4,2]=>[3,1,5,4,2]=>[3,4,1,5,2]=>[3,2]
[3,1,-5,4,-2]=>[3,1,5,4,2]=>[3,4,1,5,2]=>[3,2]
[3,1,-5,-4,2]=>[3,1,5,4,2]=>[3,4,1,5,2]=>[3,2]
[3,1,-5,-4,-2]=>[3,1,5,4,2]=>[3,4,1,5,2]=>[3,2]
[3,-1,5,4,2]=>[3,1,5,4,2]=>[3,4,1,5,2]=>[3,2]
[3,-1,5,4,-2]=>[3,1,5,4,2]=>[3,4,1,5,2]=>[3,2]
[3,-1,5,-4,2]=>[3,1,5,4,2]=>[3,4,1,5,2]=>[3,2]
[3,-1,5,-4,-2]=>[3,1,5,4,2]=>[3,4,1,5,2]=>[3,2]
[3,-1,-5,4,2]=>[3,1,5,4,2]=>[3,4,1,5,2]=>[3,2]
[3,-1,-5,4,-2]=>[3,1,5,4,2]=>[3,4,1,5,2]=>[3,2]
[3,-1,-5,-4,2]=>[3,1,5,4,2]=>[3,4,1,5,2]=>[3,2]
[3,-1,-5,-4,-2]=>[3,1,5,4,2]=>[3,4,1,5,2]=>[3,2]
[-3,1,5,4,2]=>[3,1,5,4,2]=>[3,4,1,5,2]=>[3,2]
[-3,1,5,4,-2]=>[3,1,5,4,2]=>[3,4,1,5,2]=>[3,2]
[-3,1,5,-4,2]=>[3,1,5,4,2]=>[3,4,1,5,2]=>[3,2]
[-3,1,5,-4,-2]=>[3,1,5,4,2]=>[3,4,1,5,2]=>[3,2]
[-3,1,-5,4,2]=>[3,1,5,4,2]=>[3,4,1,5,2]=>[3,2]
[-3,1,-5,4,-2]=>[3,1,5,4,2]=>[3,4,1,5,2]=>[3,2]
[-3,1,-5,-4,2]=>[3,1,5,4,2]=>[3,4,1,5,2]=>[3,2]
[-3,1,-5,-4,-2]=>[3,1,5,4,2]=>[3,4,1,5,2]=>[3,2]
[-3,-1,5,4,2]=>[3,1,5,4,2]=>[3,4,1,5,2]=>[3,2]
[-3,-1,5,4,-2]=>[3,1,5,4,2]=>[3,4,1,5,2]=>[3,2]
[-3,-1,5,-4,2]=>[3,1,5,4,2]=>[3,4,1,5,2]=>[3,2]
[-3,-1,5,-4,-2]=>[3,1,5,4,2]=>[3,4,1,5,2]=>[3,2]
[-3,-1,-5,4,2]=>[3,1,5,4,2]=>[3,4,1,5,2]=>[3,2]
[-3,-1,-5,4,-2]=>[3,1,5,4,2]=>[3,4,1,5,2]=>[3,2]
[-3,-1,-5,-4,2]=>[3,1,5,4,2]=>[3,4,1,5,2]=>[3,2]
[-3,-1,-5,-4,-2]=>[3,1,5,4,2]=>[3,4,1,5,2]=>[3,2]
[3,2,1,4,5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,1,1]
[3,2,1,4,-5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,1,1]
[3,2,1,-4,5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,1,1]
[3,2,1,-4,-5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,1,1]
[3,2,-1,4,5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,1,1]
[3,2,-1,4,-5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,1,1]
[3,2,-1,-4,5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,1,1]
[3,2,-1,-4,-5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,1,1]
[3,-2,1,4,5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,1,1]
[3,-2,1,4,-5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,1,1]
[3,-2,1,-4,5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,1,1]
[3,-2,1,-4,-5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,1,1]
[3,-2,-1,4,5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,1,1]
[3,-2,-1,4,-5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,1,1]
[3,-2,-1,-4,5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,1,1]
[3,-2,-1,-4,-5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,1,1]
[-3,2,1,4,5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,1,1]
[-3,2,1,4,-5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,1,1]
[-3,2,1,-4,5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,1,1]
[-3,2,1,-4,-5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,1,1]
[-3,2,-1,4,5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,1,1]
[-3,2,-1,4,-5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,1,1]
[-3,2,-1,-4,5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,1,1]
[-3,2,-1,-4,-5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,1,1]
[-3,-2,1,4,5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,1,1]
[-3,-2,1,4,-5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,1,1]
[-3,-2,1,-4,5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,1,1]
[-3,-2,1,-4,-5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,1,1]
[-3,-2,-1,4,5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,1,1]
[-3,-2,-1,4,-5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,1,1]
[-3,-2,-1,-4,5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,1,1]
[-3,-2,-1,-4,-5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,1,1]
[3,2,1,5,4]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[3,2]
[3,2,1,5,-4]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[3,2]
[3,2,1,-5,4]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[3,2]
[3,2,1,-5,-4]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[3,2]
[3,2,-1,5,4]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[3,2]
[3,2,-1,5,-4]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[3,2]
[3,2,-1,-5,4]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[3,2]
[3,2,-1,-5,-4]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[3,2]
[3,-2,1,5,4]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[3,2]
[3,-2,1,5,-4]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[3,2]
[3,-2,1,-5,4]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[3,2]
[3,-2,1,-5,-4]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[3,2]
[3,-2,-1,5,4]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[3,2]
[3,-2,-1,5,-4]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[3,2]
[3,-2,-1,-5,4]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[3,2]
[3,-2,-1,-5,-4]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[3,2]
[-3,2,1,5,4]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[3,2]
[-3,2,1,5,-4]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[3,2]
[-3,2,1,-5,4]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[3,2]
[-3,2,1,-5,-4]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[3,2]
[-3,2,-1,5,4]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[3,2]
[-3,2,-1,5,-4]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[3,2]
[-3,2,-1,-5,4]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[3,2]
[-3,2,-1,-5,-4]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[3,2]
[-3,-2,1,5,4]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[3,2]
[-3,-2,1,5,-4]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[3,2]
[-3,-2,1,-5,4]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[3,2]
[-3,-2,1,-5,-4]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[3,2]
[-3,-2,-1,5,4]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[3,2]
[-3,-2,-1,5,-4]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[3,2]
[-3,-2,-1,-5,4]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[3,2]
[-3,-2,-1,-5,-4]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[3,2]
[3,2,4,1,5]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[2,2,1]
[3,2,4,1,-5]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[2,2,1]
[3,2,4,-1,5]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[2,2,1]
[3,2,4,-1,-5]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[2,2,1]
[3,2,-4,1,5]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[2,2,1]
[3,2,-4,1,-5]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[2,2,1]
[3,2,-4,-1,5]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[2,2,1]
[3,2,-4,-1,-5]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[2,2,1]
[3,-2,4,1,5]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[2,2,1]
[3,-2,4,1,-5]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[2,2,1]
[3,-2,4,-1,5]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[2,2,1]
[3,-2,4,-1,-5]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[2,2,1]
[3,-2,-4,1,5]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[2,2,1]
[3,-2,-4,1,-5]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[2,2,1]
[3,-2,-4,-1,5]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[2,2,1]
[3,-2,-4,-1,-5]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[2,2,1]
[-3,2,4,1,5]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[2,2,1]
[-3,2,4,1,-5]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[2,2,1]
[-3,2,4,-1,5]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[2,2,1]
[-3,2,4,-1,-5]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[2,2,1]
[-3,2,-4,1,5]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[2,2,1]
[-3,2,-4,1,-5]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[2,2,1]
[-3,2,-4,-1,5]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[2,2,1]
[-3,2,-4,-1,-5]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[2,2,1]
[-3,-2,4,1,5]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[2,2,1]
[-3,-2,4,1,-5]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[2,2,1]
[-3,-2,4,-1,5]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[2,2,1]
[-3,-2,4,-1,-5]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[2,2,1]
[-3,-2,-4,1,5]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[2,2,1]
[-3,-2,-4,1,-5]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[2,2,1]
[-3,-2,-4,-1,5]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[2,2,1]
[-3,-2,-4,-1,-5]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[2,2,1]
[3,2,4,5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[2,2,1]
[3,2,4,5,-1]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[2,2,1]
[3,2,4,-5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[2,2,1]
[3,2,4,-5,-1]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[2,2,1]
[3,2,-4,5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[2,2,1]
[3,2,-4,5,-1]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[2,2,1]
[3,2,-4,-5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[2,2,1]
[3,2,-4,-5,-1]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[2,2,1]
[3,-2,4,5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[2,2,1]
[3,-2,4,5,-1]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[2,2,1]
[3,-2,4,-5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[2,2,1]
[3,-2,4,-5,-1]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[2,2,1]
[3,-2,-4,5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[2,2,1]
[3,-2,-4,5,-1]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[2,2,1]
[3,-2,-4,-5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[2,2,1]
[3,-2,-4,-5,-1]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[2,2,1]
[-3,2,4,5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[2,2,1]
[-3,2,4,5,-1]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[2,2,1]
[-3,2,4,-5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[2,2,1]
[-3,2,4,-5,-1]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[2,2,1]
[-3,2,-4,5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[2,2,1]
[-3,2,-4,5,-1]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[2,2,1]
[-3,2,-4,-5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[2,2,1]
[-3,2,-4,-5,-1]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[2,2,1]
[-3,-2,4,5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[2,2,1]
[-3,-2,4,5,-1]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[2,2,1]
[-3,-2,4,-5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[2,2,1]
[-3,-2,4,-5,-1]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[2,2,1]
[-3,-2,-4,5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[2,2,1]
[-3,-2,-4,5,-1]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[2,2,1]
[-3,-2,-4,-5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[2,2,1]
[-3,-2,-4,-5,-1]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[2,2,1]
[3,2,5,1,4]=>[3,2,5,1,4]=>[5,3,2,1,4]=>[3,2]
[3,2,5,1,-4]=>[3,2,5,1,4]=>[5,3,2,1,4]=>[3,2]
[3,2,5,-1,4]=>[3,2,5,1,4]=>[5,3,2,1,4]=>[3,2]
[3,2,5,-1,-4]=>[3,2,5,1,4]=>[5,3,2,1,4]=>[3,2]
[3,2,-5,1,4]=>[3,2,5,1,4]=>[5,3,2,1,4]=>[3,2]
[3,2,-5,1,-4]=>[3,2,5,1,4]=>[5,3,2,1,4]=>[3,2]
[3,2,-5,-1,4]=>[3,2,5,1,4]=>[5,3,2,1,4]=>[3,2]
[3,2,-5,-1,-4]=>[3,2,5,1,4]=>[5,3,2,1,4]=>[3,2]
[3,-2,5,1,4]=>[3,2,5,1,4]=>[5,3,2,1,4]=>[3,2]
[3,-2,5,1,-4]=>[3,2,5,1,4]=>[5,3,2,1,4]=>[3,2]
[3,-2,5,-1,4]=>[3,2,5,1,4]=>[5,3,2,1,4]=>[3,2]
[3,-2,5,-1,-4]=>[3,2,5,1,4]=>[5,3,2,1,4]=>[3,2]
[3,-2,-5,1,4]=>[3,2,5,1,4]=>[5,3,2,1,4]=>[3,2]
[3,-2,-5,1,-4]=>[3,2,5,1,4]=>[5,3,2,1,4]=>[3,2]
[3,-2,-5,-1,4]=>[3,2,5,1,4]=>[5,3,2,1,4]=>[3,2]
[3,-2,-5,-1,-4]=>[3,2,5,1,4]=>[5,3,2,1,4]=>[3,2]
[-3,2,5,1,4]=>[3,2,5,1,4]=>[5,3,2,1,4]=>[3,2]
[-3,2,5,1,-4]=>[3,2,5,1,4]=>[5,3,2,1,4]=>[3,2]
[-3,2,5,-1,4]=>[3,2,5,1,4]=>[5,3,2,1,4]=>[3,2]
[-3,2,5,-1,-4]=>[3,2,5,1,4]=>[5,3,2,1,4]=>[3,2]
[-3,2,-5,1,4]=>[3,2,5,1,4]=>[5,3,2,1,4]=>[3,2]
[-3,2,-5,1,-4]=>[3,2,5,1,4]=>[5,3,2,1,4]=>[3,2]
[-3,2,-5,-1,4]=>[3,2,5,1,4]=>[5,3,2,1,4]=>[3,2]
[-3,2,-5,-1,-4]=>[3,2,5,1,4]=>[5,3,2,1,4]=>[3,2]
[-3,-2,5,1,4]=>[3,2,5,1,4]=>[5,3,2,1,4]=>[3,2]
[-3,-2,5,1,-4]=>[3,2,5,1,4]=>[5,3,2,1,4]=>[3,2]
[-3,-2,5,-1,4]=>[3,2,5,1,4]=>[5,3,2,1,4]=>[3,2]
[-3,-2,5,-1,-4]=>[3,2,5,1,4]=>[5,3,2,1,4]=>[3,2]
[-3,-2,-5,1,4]=>[3,2,5,1,4]=>[5,3,2,1,4]=>[3,2]
[-3,-2,-5,1,-4]=>[3,2,5,1,4]=>[5,3,2,1,4]=>[3,2]
[-3,-2,-5,-1,4]=>[3,2,5,1,4]=>[5,3,2,1,4]=>[3,2]
[-3,-2,-5,-1,-4]=>[3,2,5,1,4]=>[5,3,2,1,4]=>[3,2]
[3,2,5,4,1]=>[3,2,5,4,1]=>[4,3,2,5,1]=>[3,2]
[3,2,5,4,-1]=>[3,2,5,4,1]=>[4,3,2,5,1]=>[3,2]
[3,2,5,-4,1]=>[3,2,5,4,1]=>[4,3,2,5,1]=>[3,2]
[3,2,5,-4,-1]=>[3,2,5,4,1]=>[4,3,2,5,1]=>[3,2]
[3,2,-5,4,1]=>[3,2,5,4,1]=>[4,3,2,5,1]=>[3,2]
[3,2,-5,4,-1]=>[3,2,5,4,1]=>[4,3,2,5,1]=>[3,2]
[3,2,-5,-4,1]=>[3,2,5,4,1]=>[4,3,2,5,1]=>[3,2]
[3,2,-5,-4,-1]=>[3,2,5,4,1]=>[4,3,2,5,1]=>[3,2]
[3,-2,5,4,1]=>[3,2,5,4,1]=>[4,3,2,5,1]=>[3,2]
[3,-2,5,4,-1]=>[3,2,5,4,1]=>[4,3,2,5,1]=>[3,2]
[3,-2,5,-4,1]=>[3,2,5,4,1]=>[4,3,2,5,1]=>[3,2]
[3,-2,5,-4,-1]=>[3,2,5,4,1]=>[4,3,2,5,1]=>[3,2]
[3,-2,-5,4,1]=>[3,2,5,4,1]=>[4,3,2,5,1]=>[3,2]
[3,-2,-5,4,-1]=>[3,2,5,4,1]=>[4,3,2,5,1]=>[3,2]
[3,-2,-5,-4,1]=>[3,2,5,4,1]=>[4,3,2,5,1]=>[3,2]
[3,-2,-5,-4,-1]=>[3,2,5,4,1]=>[4,3,2,5,1]=>[3,2]
[-3,2,5,4,1]=>[3,2,5,4,1]=>[4,3,2,5,1]=>[3,2]
[-3,2,5,4,-1]=>[3,2,5,4,1]=>[4,3,2,5,1]=>[3,2]
[-3,2,5,-4,1]=>[3,2,5,4,1]=>[4,3,2,5,1]=>[3,2]
[-3,2,5,-4,-1]=>[3,2,5,4,1]=>[4,3,2,5,1]=>[3,2]
[-3,2,-5,4,1]=>[3,2,5,4,1]=>[4,3,2,5,1]=>[3,2]
[-3,2,-5,4,-1]=>[3,2,5,4,1]=>[4,3,2,5,1]=>[3,2]
[-3,2,-5,-4,1]=>[3,2,5,4,1]=>[4,3,2,5,1]=>[3,2]
[-3,2,-5,-4,-1]=>[3,2,5,4,1]=>[4,3,2,5,1]=>[3,2]
[-3,-2,5,4,1]=>[3,2,5,4,1]=>[4,3,2,5,1]=>[3,2]
[-3,-2,5,4,-1]=>[3,2,5,4,1]=>[4,3,2,5,1]=>[3,2]
[-3,-2,5,-4,1]=>[3,2,5,4,1]=>[4,3,2,5,1]=>[3,2]
[-3,-2,5,-4,-1]=>[3,2,5,4,1]=>[4,3,2,5,1]=>[3,2]
[-3,-2,-5,4,1]=>[3,2,5,4,1]=>[4,3,2,5,1]=>[3,2]
[-3,-2,-5,4,-1]=>[3,2,5,4,1]=>[4,3,2,5,1]=>[3,2]
[-3,-2,-5,-4,1]=>[3,2,5,4,1]=>[4,3,2,5,1]=>[3,2]
[-3,-2,-5,-4,-1]=>[3,2,5,4,1]=>[4,3,2,5,1]=>[3,2]
[3,4,1,2,5]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[3,1,1]
[3,4,1,2,-5]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[3,1,1]
[3,4,1,-2,5]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[3,1,1]
[3,4,1,-2,-5]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[3,1,1]
[3,4,-1,2,5]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[3,1,1]
[3,4,-1,2,-5]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[3,1,1]
[3,4,-1,-2,5]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[3,1,1]
[3,4,-1,-2,-5]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[3,1,1]
[3,-4,1,2,5]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[3,1,1]
[3,-4,1,2,-5]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[3,1,1]
[3,-4,1,-2,5]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[3,1,1]
[3,-4,1,-2,-5]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[3,1,1]
[3,-4,-1,2,5]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[3,1,1]
[3,-4,-1,2,-5]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[3,1,1]
[3,-4,-1,-2,5]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[3,1,1]
[3,-4,-1,-2,-5]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[3,1,1]
[-3,4,1,2,5]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[3,1,1]
[-3,4,1,2,-5]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[3,1,1]
[-3,4,1,-2,5]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[3,1,1]
[-3,4,1,-2,-5]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[3,1,1]
[-3,4,-1,2,5]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[3,1,1]
[-3,4,-1,2,-5]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[3,1,1]
[-3,4,-1,-2,5]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[3,1,1]
[-3,4,-1,-2,-5]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[3,1,1]
[-3,-4,1,2,5]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[3,1,1]
[-3,-4,1,2,-5]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[3,1,1]
[-3,-4,1,-2,5]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[3,1,1]
[-3,-4,1,-2,-5]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[3,1,1]
[-3,-4,-1,2,5]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[3,1,1]
[-3,-4,-1,2,-5]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[3,1,1]
[-3,-4,-1,-2,5]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[3,1,1]
[-3,-4,-1,-2,-5]=>[3,4,1,2,5]=>[4,1,3,2,5]=>[3,1,1]
[3,4,1,5,2]=>[3,4,1,5,2]=>[4,5,3,1,2]=>[2,2,1]
[3,4,1,5,-2]=>[3,4,1,5,2]=>[4,5,3,1,2]=>[2,2,1]
[3,4,1,-5,2]=>[3,4,1,5,2]=>[4,5,3,1,2]=>[2,2,1]
[3,4,1,-5,-2]=>[3,4,1,5,2]=>[4,5,3,1,2]=>[2,2,1]
[3,4,-1,5,2]=>[3,4,1,5,2]=>[4,5,3,1,2]=>[2,2,1]
[3,4,-1,5,-2]=>[3,4,1,5,2]=>[4,5,3,1,2]=>[2,2,1]
[3,4,-1,-5,2]=>[3,4,1,5,2]=>[4,5,3,1,2]=>[2,2,1]
[3,4,-1,-5,-2]=>[3,4,1,5,2]=>[4,5,3,1,2]=>[2,2,1]
[3,-4,1,5,2]=>[3,4,1,5,2]=>[4,5,3,1,2]=>[2,2,1]
[3,-4,1,5,-2]=>[3,4,1,5,2]=>[4,5,3,1,2]=>[2,2,1]
[3,-4,1,-5,2]=>[3,4,1,5,2]=>[4,5,3,1,2]=>[2,2,1]
[3,-4,1,-5,-2]=>[3,4,1,5,2]=>[4,5,3,1,2]=>[2,2,1]
[3,-4,-1,5,2]=>[3,4,1,5,2]=>[4,5,3,1,2]=>[2,2,1]
[3,-4,-1,5,-2]=>[3,4,1,5,2]=>[4,5,3,1,2]=>[2,2,1]
[3,-4,-1,-5,2]=>[3,4,1,5,2]=>[4,5,3,1,2]=>[2,2,1]
[3,-4,-1,-5,-2]=>[3,4,1,5,2]=>[4,5,3,1,2]=>[2,2,1]
[-3,4,1,5,2]=>[3,4,1,5,2]=>[4,5,3,1,2]=>[2,2,1]
[-3,4,1,5,-2]=>[3,4,1,5,2]=>[4,5,3,1,2]=>[2,2,1]
[-3,4,1,-5,2]=>[3,4,1,5,2]=>[4,5,3,1,2]=>[2,2,1]
[-3,4,1,-5,-2]=>[3,4,1,5,2]=>[4,5,3,1,2]=>[2,2,1]
[-3,4,-1,5,2]=>[3,4,1,5,2]=>[4,5,3,1,2]=>[2,2,1]
[-3,4,-1,5,-2]=>[3,4,1,5,2]=>[4,5,3,1,2]=>[2,2,1]
[-3,4,-1,-5,2]=>[3,4,1,5,2]=>[4,5,3,1,2]=>[2,2,1]
[-3,4,-1,-5,-2]=>[3,4,1,5,2]=>[4,5,3,1,2]=>[2,2,1]
[-3,-4,1,5,2]=>[3,4,1,5,2]=>[4,5,3,1,2]=>[2,2,1]
[-3,-4,1,5,-2]=>[3,4,1,5,2]=>[4,5,3,1,2]=>[2,2,1]
[-3,-4,1,-5,2]=>[3,4,1,5,2]=>[4,5,3,1,2]=>[2,2,1]
[-3,-4,1,-5,-2]=>[3,4,1,5,2]=>[4,5,3,1,2]=>[2,2,1]
[-3,-4,-1,5,2]=>[3,4,1,5,2]=>[4,5,3,1,2]=>[2,2,1]
[-3,-4,-1,5,-2]=>[3,4,1,5,2]=>[4,5,3,1,2]=>[2,2,1]
[-3,-4,-1,-5,2]=>[3,4,1,5,2]=>[4,5,3,1,2]=>[2,2,1]
[-3,-4,-1,-5,-2]=>[3,4,1,5,2]=>[4,5,3,1,2]=>[2,2,1]
[3,4,2,1,5]=>[3,4,2,1,5]=>[2,4,3,1,5]=>[3,1,1]
[3,4,2,1,-5]=>[3,4,2,1,5]=>[2,4,3,1,5]=>[3,1,1]
[3,4,2,-1,5]=>[3,4,2,1,5]=>[2,4,3,1,5]=>[3,1,1]
[3,4,2,-1,-5]=>[3,4,2,1,5]=>[2,4,3,1,5]=>[3,1,1]
[3,4,-2,1,5]=>[3,4,2,1,5]=>[2,4,3,1,5]=>[3,1,1]
[3,4,-2,1,-5]=>[3,4,2,1,5]=>[2,4,3,1,5]=>[3,1,1]
[3,4,-2,-1,5]=>[3,4,2,1,5]=>[2,4,3,1,5]=>[3,1,1]
[3,4,-2,-1,-5]=>[3,4,2,1,5]=>[2,4,3,1,5]=>[3,1,1]
[3,-4,2,1,5]=>[3,4,2,1,5]=>[2,4,3,1,5]=>[3,1,1]
[3,-4,2,1,-5]=>[3,4,2,1,5]=>[2,4,3,1,5]=>[3,1,1]
[3,-4,2,-1,5]=>[3,4,2,1,5]=>[2,4,3,1,5]=>[3,1,1]
[3,-4,2,-1,-5]=>[3,4,2,1,5]=>[2,4,3,1,5]=>[3,1,1]
[3,-4,-2,1,5]=>[3,4,2,1,5]=>[2,4,3,1,5]=>[3,1,1]
[3,-4,-2,1,-5]=>[3,4,2,1,5]=>[2,4,3,1,5]=>[3,1,1]
[3,-4,-2,-1,5]=>[3,4,2,1,5]=>[2,4,3,1,5]=>[3,1,1]
[3,-4,-2,-1,-5]=>[3,4,2,1,5]=>[2,4,3,1,5]=>[3,1,1]
[-3,4,2,1,5]=>[3,4,2,1,5]=>[2,4,3,1,5]=>[3,1,1]
[-3,4,2,1,-5]=>[3,4,2,1,5]=>[2,4,3,1,5]=>[3,1,1]
[-3,4,2,-1,5]=>[3,4,2,1,5]=>[2,4,3,1,5]=>[3,1,1]
[-3,4,2,-1,-5]=>[3,4,2,1,5]=>[2,4,3,1,5]=>[3,1,1]
[-3,4,-2,1,5]=>[3,4,2,1,5]=>[2,4,3,1,5]=>[3,1,1]
[-3,4,-2,1,-5]=>[3,4,2,1,5]=>[2,4,3,1,5]=>[3,1,1]
[-3,4,-2,-1,5]=>[3,4,2,1,5]=>[2,4,3,1,5]=>[3,1,1]
[-3,4,-2,-1,-5]=>[3,4,2,1,5]=>[2,4,3,1,5]=>[3,1,1]
[-3,-4,2,1,5]=>[3,4,2,1,5]=>[2,4,3,1,5]=>[3,1,1]
[-3,-4,2,1,-5]=>[3,4,2,1,5]=>[2,4,3,1,5]=>[3,1,1]
[-3,-4,2,-1,5]=>[3,4,2,1,5]=>[2,4,3,1,5]=>[3,1,1]
[-3,-4,2,-1,-5]=>[3,4,2,1,5]=>[2,4,3,1,5]=>[3,1,1]
[-3,-4,-2,1,5]=>[3,4,2,1,5]=>[2,4,3,1,5]=>[3,1,1]
[-3,-4,-2,1,-5]=>[3,4,2,1,5]=>[2,4,3,1,5]=>[3,1,1]
[-3,-4,-2,-1,5]=>[3,4,2,1,5]=>[2,4,3,1,5]=>[3,1,1]
[-3,-4,-2,-1,-5]=>[3,4,2,1,5]=>[2,4,3,1,5]=>[3,1,1]
[3,4,2,5,1]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[2,2,1]
[3,4,2,5,-1]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[2,2,1]
[3,4,2,-5,1]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[2,2,1]
[3,4,2,-5,-1]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[2,2,1]
[3,4,-2,5,1]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[2,2,1]
[3,4,-2,5,-1]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[2,2,1]
[3,4,-2,-5,1]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[2,2,1]
[3,4,-2,-5,-1]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[2,2,1]
[3,-4,2,5,1]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[2,2,1]
[3,-4,2,5,-1]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[2,2,1]
[3,-4,2,-5,1]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[2,2,1]
[3,-4,2,-5,-1]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[2,2,1]
[3,-4,-2,5,1]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[2,2,1]
[3,-4,-2,5,-1]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[2,2,1]
[3,-4,-2,-5,1]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[2,2,1]
[3,-4,-2,-5,-1]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[2,2,1]
[-3,4,2,5,1]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[2,2,1]
[-3,4,2,5,-1]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[2,2,1]
[-3,4,2,-5,1]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[2,2,1]
[-3,4,2,-5,-1]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[2,2,1]
[-3,4,-2,5,1]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[2,2,1]
[-3,4,-2,5,-1]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[2,2,1]
[-3,4,-2,-5,1]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[2,2,1]
[-3,4,-2,-5,-1]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[2,2,1]
[-3,-4,2,5,1]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[2,2,1]
[-3,-4,2,5,-1]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[2,2,1]
[-3,-4,2,-5,1]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[2,2,1]
[-3,-4,2,-5,-1]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[2,2,1]
[-3,-4,-2,5,1]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[2,2,1]
[-3,-4,-2,5,-1]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[2,2,1]
[-3,-4,-2,-5,1]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[2,2,1]
[-3,-4,-2,-5,-1]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[2,2,1]
[3,4,5,1,2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>[3,1,1]
[3,4,5,1,-2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>[3,1,1]
[3,4,5,-1,2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>[3,1,1]
[3,4,5,-1,-2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>[3,1,1]
[3,4,-5,1,2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>[3,1,1]
[3,4,-5,1,-2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>[3,1,1]
[3,4,-5,-1,2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>[3,1,1]
[3,4,-5,-1,-2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>[3,1,1]
[3,-4,5,1,2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>[3,1,1]
[3,-4,5,1,-2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>[3,1,1]
[3,-4,5,-1,2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>[3,1,1]
[3,-4,5,-1,-2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>[3,1,1]
[3,-4,-5,1,2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>[3,1,1]
[3,-4,-5,1,-2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>[3,1,1]
[3,-4,-5,-1,2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>[3,1,1]
[3,-4,-5,-1,-2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>[3,1,1]
[-3,4,5,1,2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>[3,1,1]
[-3,4,5,1,-2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>[3,1,1]
[-3,4,5,-1,2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>[3,1,1]
[-3,4,5,-1,-2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>[3,1,1]
[-3,4,-5,1,2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>[3,1,1]
[-3,4,-5,1,-2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>[3,1,1]
[-3,4,-5,-1,2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>[3,1,1]
[-3,4,-5,-1,-2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>[3,1,1]
[-3,-4,5,1,2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>[3,1,1]
[-3,-4,5,1,-2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>[3,1,1]
[-3,-4,5,-1,2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>[3,1,1]
[-3,-4,5,-1,-2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>[3,1,1]
[-3,-4,-5,1,2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>[3,1,1]
[-3,-4,-5,1,-2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>[3,1,1]
[-3,-4,-5,-1,2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>[3,1,1]
[-3,-4,-5,-1,-2]=>[3,4,5,1,2]=>[5,1,3,4,2]=>[3,1,1]
[3,4,5,2,1]=>[3,4,5,2,1]=>[2,5,3,4,1]=>[3,1,1]
[3,4,5,2,-1]=>[3,4,5,2,1]=>[2,5,3,4,1]=>[3,1,1]
[3,4,5,-2,1]=>[3,4,5,2,1]=>[2,5,3,4,1]=>[3,1,1]
[3,4,5,-2,-1]=>[3,4,5,2,1]=>[2,5,3,4,1]=>[3,1,1]
[3,4,-5,2,1]=>[3,4,5,2,1]=>[2,5,3,4,1]=>[3,1,1]
[3,4,-5,2,-1]=>[3,4,5,2,1]=>[2,5,3,4,1]=>[3,1,1]
[3,4,-5,-2,1]=>[3,4,5,2,1]=>[2,5,3,4,1]=>[3,1,1]
[3,4,-5,-2,-1]=>[3,4,5,2,1]=>[2,5,3,4,1]=>[3,1,1]
[3,-4,5,2,1]=>[3,4,5,2,1]=>[2,5,3,4,1]=>[3,1,1]
[3,-4,5,2,-1]=>[3,4,5,2,1]=>[2,5,3,4,1]=>[3,1,1]
[3,-4,5,-2,1]=>[3,4,5,2,1]=>[2,5,3,4,1]=>[3,1,1]
[3,-4,5,-2,-1]=>[3,4,5,2,1]=>[2,5,3,4,1]=>[3,1,1]
[3,-4,-5,2,1]=>[3,4,5,2,1]=>[2,5,3,4,1]=>[3,1,1]
[3,-4,-5,2,-1]=>[3,4,5,2,1]=>[2,5,3,4,1]=>[3,1,1]
[3,-4,-5,-2,1]=>[3,4,5,2,1]=>[2,5,3,4,1]=>[3,1,1]
[3,-4,-5,-2,-1]=>[3,4,5,2,1]=>[2,5,3,4,1]=>[3,1,1]
[-3,4,5,2,1]=>[3,4,5,2,1]=>[2,5,3,4,1]=>[3,1,1]
[-3,4,5,2,-1]=>[3,4,5,2,1]=>[2,5,3,4,1]=>[3,1,1]
[-3,4,5,-2,1]=>[3,4,5,2,1]=>[2,5,3,4,1]=>[3,1,1]
[-3,4,5,-2,-1]=>[3,4,5,2,1]=>[2,5,3,4,1]=>[3,1,1]
[-3,4,-5,2,1]=>[3,4,5,2,1]=>[2,5,3,4,1]=>[3,1,1]
[-3,4,-5,2,-1]=>[3,4,5,2,1]=>[2,5,3,4,1]=>[3,1,1]
[-3,4,-5,-2,1]=>[3,4,5,2,1]=>[2,5,3,4,1]=>[3,1,1]
[-3,4,-5,-2,-1]=>[3,4,5,2,1]=>[2,5,3,4,1]=>[3,1,1]
[-3,-4,5,2,1]=>[3,4,5,2,1]=>[2,5,3,4,1]=>[3,1,1]
[-3,-4,5,2,-1]=>[3,4,5,2,1]=>[2,5,3,4,1]=>[3,1,1]
[-3,-4,5,-2,1]=>[3,4,5,2,1]=>[2,5,3,4,1]=>[3,1,1]
[-3,-4,5,-2,-1]=>[3,4,5,2,1]=>[2,5,3,4,1]=>[3,1,1]
[-3,-4,-5,2,1]=>[3,4,5,2,1]=>[2,5,3,4,1]=>[3,1,1]
[-3,-4,-5,2,-1]=>[3,4,5,2,1]=>[2,5,3,4,1]=>[3,1,1]
[-3,-4,-5,-2,1]=>[3,4,5,2,1]=>[2,5,3,4,1]=>[3,1,1]
[-3,-4,-5,-2,-1]=>[3,4,5,2,1]=>[2,5,3,4,1]=>[3,1,1]
[3,5,1,2,4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[4,1]
[3,5,1,2,-4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[4,1]
[3,5,1,-2,4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[4,1]
[3,5,1,-2,-4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[4,1]
[3,5,-1,2,4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[4,1]
[3,5,-1,2,-4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[4,1]
[3,5,-1,-2,4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[4,1]
[3,5,-1,-2,-4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[4,1]
[3,-5,1,2,4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[4,1]
[3,-5,1,2,-4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[4,1]
[3,-5,1,-2,4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[4,1]
[3,-5,1,-2,-4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[4,1]
[3,-5,-1,2,4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[4,1]
[3,-5,-1,2,-4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[4,1]
[3,-5,-1,-2,4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[4,1]
[3,-5,-1,-2,-4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[4,1]
[-3,5,1,2,4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[4,1]
[-3,5,1,2,-4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[4,1]
[-3,5,1,-2,4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[4,1]
[-3,5,1,-2,-4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[4,1]
[-3,5,-1,2,4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[4,1]
[-3,5,-1,2,-4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[4,1]
[-3,5,-1,-2,4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[4,1]
[-3,5,-1,-2,-4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[4,1]
[-3,-5,1,2,4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[4,1]
[-3,-5,1,2,-4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[4,1]
[-3,-5,1,-2,4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[4,1]
[-3,-5,1,-2,-4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[4,1]
[-3,-5,-1,2,4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[4,1]
[-3,-5,-1,2,-4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[4,1]
[-3,-5,-1,-2,4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[4,1]
[-3,-5,-1,-2,-4]=>[3,5,1,2,4]=>[5,1,3,2,4]=>[4,1]
[3,5,1,4,2]=>[3,5,1,4,2]=>[5,4,3,1,2]=>[4,1]
[3,5,1,4,-2]=>[3,5,1,4,2]=>[5,4,3,1,2]=>[4,1]
[3,5,1,-4,2]=>[3,5,1,4,2]=>[5,4,3,1,2]=>[4,1]
[3,5,1,-4,-2]=>[3,5,1,4,2]=>[5,4,3,1,2]=>[4,1]
[3,5,-1,4,2]=>[3,5,1,4,2]=>[5,4,3,1,2]=>[4,1]
[3,5,-1,4,-2]=>[3,5,1,4,2]=>[5,4,3,1,2]=>[4,1]
[3,5,-1,-4,2]=>[3,5,1,4,2]=>[5,4,3,1,2]=>[4,1]
[3,5,-1,-4,-2]=>[3,5,1,4,2]=>[5,4,3,1,2]=>[4,1]
[3,-5,1,4,2]=>[3,5,1,4,2]=>[5,4,3,1,2]=>[4,1]
[3,-5,1,4,-2]=>[3,5,1,4,2]=>[5,4,3,1,2]=>[4,1]
[3,-5,1,-4,2]=>[3,5,1,4,2]=>[5,4,3,1,2]=>[4,1]
[3,-5,1,-4,-2]=>[3,5,1,4,2]=>[5,4,3,1,2]=>[4,1]
[3,-5,-1,4,2]=>[3,5,1,4,2]=>[5,4,3,1,2]=>[4,1]
[3,-5,-1,4,-2]=>[3,5,1,4,2]=>[5,4,3,1,2]=>[4,1]
[3,-5,-1,-4,2]=>[3,5,1,4,2]=>[5,4,3,1,2]=>[4,1]
[3,-5,-1,-4,-2]=>[3,5,1,4,2]=>[5,4,3,1,2]=>[4,1]
[-3,5,1,4,2]=>[3,5,1,4,2]=>[5,4,3,1,2]=>[4,1]
[-3,5,1,4,-2]=>[3,5,1,4,2]=>[5,4,3,1,2]=>[4,1]
[-3,5,1,-4,2]=>[3,5,1,4,2]=>[5,4,3,1,2]=>[4,1]
[-3,5,1,-4,-2]=>[3,5,1,4,2]=>[5,4,3,1,2]=>[4,1]
[-3,5,-1,4,2]=>[3,5,1,4,2]=>[5,4,3,1,2]=>[4,1]
[-3,5,-1,4,-2]=>[3,5,1,4,2]=>[5,4,3,1,2]=>[4,1]
[-3,5,-1,-4,2]=>[3,5,1,4,2]=>[5,4,3,1,2]=>[4,1]
[-3,5,-1,-4,-2]=>[3,5,1,4,2]=>[5,4,3,1,2]=>[4,1]
[-3,-5,1,4,2]=>[3,5,1,4,2]=>[5,4,3,1,2]=>[4,1]
[-3,-5,1,4,-2]=>[3,5,1,4,2]=>[5,4,3,1,2]=>[4,1]
[-3,-5,1,-4,2]=>[3,5,1,4,2]=>[5,4,3,1,2]=>[4,1]
[-3,-5,1,-4,-2]=>[3,5,1,4,2]=>[5,4,3,1,2]=>[4,1]
[-3,-5,-1,4,2]=>[3,5,1,4,2]=>[5,4,3,1,2]=>[4,1]
[-3,-5,-1,4,-2]=>[3,5,1,4,2]=>[5,4,3,1,2]=>[4,1]
[-3,-5,-1,-4,2]=>[3,5,1,4,2]=>[5,4,3,1,2]=>[4,1]
[-3,-5,-1,-4,-2]=>[3,5,1,4,2]=>[5,4,3,1,2]=>[4,1]
[3,5,2,1,4]=>[3,5,2,1,4]=>[2,5,3,1,4]=>[4,1]
[3,5,2,1,-4]=>[3,5,2,1,4]=>[2,5,3,1,4]=>[4,1]
[3,5,2,-1,4]=>[3,5,2,1,4]=>[2,5,3,1,4]=>[4,1]
[3,5,2,-1,-4]=>[3,5,2,1,4]=>[2,5,3,1,4]=>[4,1]
[3,5,-2,1,4]=>[3,5,2,1,4]=>[2,5,3,1,4]=>[4,1]
[3,5,-2,1,-4]=>[3,5,2,1,4]=>[2,5,3,1,4]=>[4,1]
[3,5,-2,-1,4]=>[3,5,2,1,4]=>[2,5,3,1,4]=>[4,1]
[3,5,-2,-1,-4]=>[3,5,2,1,4]=>[2,5,3,1,4]=>[4,1]
[3,-5,2,1,4]=>[3,5,2,1,4]=>[2,5,3,1,4]=>[4,1]
[3,-5,2,1,-4]=>[3,5,2,1,4]=>[2,5,3,1,4]=>[4,1]
[3,-5,2,-1,4]=>[3,5,2,1,4]=>[2,5,3,1,4]=>[4,1]
[3,-5,2,-1,-4]=>[3,5,2,1,4]=>[2,5,3,1,4]=>[4,1]
[3,-5,-2,1,4]=>[3,5,2,1,4]=>[2,5,3,1,4]=>[4,1]
[3,-5,-2,1,-4]=>[3,5,2,1,4]=>[2,5,3,1,4]=>[4,1]
[3,-5,-2,-1,4]=>[3,5,2,1,4]=>[2,5,3,1,4]=>[4,1]
[3,-5,-2,-1,-4]=>[3,5,2,1,4]=>[2,5,3,1,4]=>[4,1]
[-3,5,2,1,4]=>[3,5,2,1,4]=>[2,5,3,1,4]=>[4,1]
[-3,5,2,1,-4]=>[3,5,2,1,4]=>[2,5,3,1,4]=>[4,1]
[-3,5,2,-1,4]=>[3,5,2,1,4]=>[2,5,3,1,4]=>[4,1]
[-3,5,2,-1,-4]=>[3,5,2,1,4]=>[2,5,3,1,4]=>[4,1]
[-3,5,-2,1,4]=>[3,5,2,1,4]=>[2,5,3,1,4]=>[4,1]
[-3,5,-2,1,-4]=>[3,5,2,1,4]=>[2,5,3,1,4]=>[4,1]
[-3,5,-2,-1,4]=>[3,5,2,1,4]=>[2,5,3,1,4]=>[4,1]
[-3,5,-2,-1,-4]=>[3,5,2,1,4]=>[2,5,3,1,4]=>[4,1]
[-3,-5,2,1,4]=>[3,5,2,1,4]=>[2,5,3,1,4]=>[4,1]
[-3,-5,2,1,-4]=>[3,5,2,1,4]=>[2,5,3,1,4]=>[4,1]
[-3,-5,2,-1,4]=>[3,5,2,1,4]=>[2,5,3,1,4]=>[4,1]
[-3,-5,2,-1,-4]=>[3,5,2,1,4]=>[2,5,3,1,4]=>[4,1]
[-3,-5,-2,1,4]=>[3,5,2,1,4]=>[2,5,3,1,4]=>[4,1]
[-3,-5,-2,1,-4]=>[3,5,2,1,4]=>[2,5,3,1,4]=>[4,1]
[-3,-5,-2,-1,4]=>[3,5,2,1,4]=>[2,5,3,1,4]=>[4,1]
[-3,-5,-2,-1,-4]=>[3,5,2,1,4]=>[2,5,3,1,4]=>[4,1]
[3,5,2,4,1]=>[3,5,2,4,1]=>[4,5,3,2,1]=>[4,1]
[3,5,2,4,-1]=>[3,5,2,4,1]=>[4,5,3,2,1]=>[4,1]
[3,5,2,-4,1]=>[3,5,2,4,1]=>[4,5,3,2,1]=>[4,1]
[3,5,2,-4,-1]=>[3,5,2,4,1]=>[4,5,3,2,1]=>[4,1]
[3,5,-2,4,1]=>[3,5,2,4,1]=>[4,5,3,2,1]=>[4,1]
[3,5,-2,4,-1]=>[3,5,2,4,1]=>[4,5,3,2,1]=>[4,1]
[3,5,-2,-4,1]=>[3,5,2,4,1]=>[4,5,3,2,1]=>[4,1]
[3,5,-2,-4,-1]=>[3,5,2,4,1]=>[4,5,3,2,1]=>[4,1]
[3,-5,2,4,1]=>[3,5,2,4,1]=>[4,5,3,2,1]=>[4,1]
[3,-5,2,4,-1]=>[3,5,2,4,1]=>[4,5,3,2,1]=>[4,1]
[3,-5,2,-4,1]=>[3,5,2,4,1]=>[4,5,3,2,1]=>[4,1]
[3,-5,2,-4,-1]=>[3,5,2,4,1]=>[4,5,3,2,1]=>[4,1]
[3,-5,-2,4,1]=>[3,5,2,4,1]=>[4,5,3,2,1]=>[4,1]
[3,-5,-2,4,-1]=>[3,5,2,4,1]=>[4,5,3,2,1]=>[4,1]
[3,-5,-2,-4,1]=>[3,5,2,4,1]=>[4,5,3,2,1]=>[4,1]
[3,-5,-2,-4,-1]=>[3,5,2,4,1]=>[4,5,3,2,1]=>[4,1]
[-3,5,2,4,1]=>[3,5,2,4,1]=>[4,5,3,2,1]=>[4,1]
[-3,5,2,4,-1]=>[3,5,2,4,1]=>[4,5,3,2,1]=>[4,1]
[-3,5,2,-4,1]=>[3,5,2,4,1]=>[4,5,3,2,1]=>[4,1]
[-3,5,2,-4,-1]=>[3,5,2,4,1]=>[4,5,3,2,1]=>[4,1]
[-3,5,-2,4,1]=>[3,5,2,4,1]=>[4,5,3,2,1]=>[4,1]
[-3,5,-2,4,-1]=>[3,5,2,4,1]=>[4,5,3,2,1]=>[4,1]
[-3,5,-2,-4,1]=>[3,5,2,4,1]=>[4,5,3,2,1]=>[4,1]
[-3,5,-2,-4,-1]=>[3,5,2,4,1]=>[4,5,3,2,1]=>[4,1]
[-3,-5,2,4,1]=>[3,5,2,4,1]=>[4,5,3,2,1]=>[4,1]
[-3,-5,2,4,-1]=>[3,5,2,4,1]=>[4,5,3,2,1]=>[4,1]
[-3,-5,2,-4,1]=>[3,5,2,4,1]=>[4,5,3,2,1]=>[4,1]
[-3,-5,2,-4,-1]=>[3,5,2,4,1]=>[4,5,3,2,1]=>[4,1]
[-3,-5,-2,4,1]=>[3,5,2,4,1]=>[4,5,3,2,1]=>[4,1]
[-3,-5,-2,4,-1]=>[3,5,2,4,1]=>[4,5,3,2,1]=>[4,1]
[-3,-5,-2,-4,1]=>[3,5,2,4,1]=>[4,5,3,2,1]=>[4,1]
[-3,-5,-2,-4,-1]=>[3,5,2,4,1]=>[4,5,3,2,1]=>[4,1]
[3,5,4,1,2]=>[3,5,4,1,2]=>[4,1,3,5,2]=>[4,1]
[3,5,4,1,-2]=>[3,5,4,1,2]=>[4,1,3,5,2]=>[4,1]
[3,5,4,-1,2]=>[3,5,4,1,2]=>[4,1,3,5,2]=>[4,1]
[3,5,4,-1,-2]=>[3,5,4,1,2]=>[4,1,3,5,2]=>[4,1]
[3,5,-4,1,2]=>[3,5,4,1,2]=>[4,1,3,5,2]=>[4,1]
[3,5,-4,1,-2]=>[3,5,4,1,2]=>[4,1,3,5,2]=>[4,1]
[3,5,-4,-1,2]=>[3,5,4,1,2]=>[4,1,3,5,2]=>[4,1]
[3,5,-4,-1,-2]=>[3,5,4,1,2]=>[4,1,3,5,2]=>[4,1]
[3,-5,4,1,2]=>[3,5,4,1,2]=>[4,1,3,5,2]=>[4,1]
[3,-5,4,1,-2]=>[3,5,4,1,2]=>[4,1,3,5,2]=>[4,1]
[3,-5,4,-1,2]=>[3,5,4,1,2]=>[4,1,3,5,2]=>[4,1]
[3,-5,4,-1,-2]=>[3,5,4,1,2]=>[4,1,3,5,2]=>[4,1]
[3,-5,-4,1,2]=>[3,5,4,1,2]=>[4,1,3,5,2]=>[4,1]
[3,-5,-4,1,-2]=>[3,5,4,1,2]=>[4,1,3,5,2]=>[4,1]
[3,-5,-4,-1,2]=>[3,5,4,1,2]=>[4,1,3,5,2]=>[4,1]
[3,-5,-4,-1,-2]=>[3,5,4,1,2]=>[4,1,3,5,2]=>[4,1]
[-3,5,4,1,2]=>[3,5,4,1,2]=>[4,1,3,5,2]=>[4,1]
[-3,5,4,1,-2]=>[3,5,4,1,2]=>[4,1,3,5,2]=>[4,1]
[-3,5,4,-1,2]=>[3,5,4,1,2]=>[4,1,3,5,2]=>[4,1]
[-3,5,4,-1,-2]=>[3,5,4,1,2]=>[4,1,3,5,2]=>[4,1]
[-3,5,-4,1,2]=>[3,5,4,1,2]=>[4,1,3,5,2]=>[4,1]
[-3,5,-4,1,-2]=>[3,5,4,1,2]=>[4,1,3,5,2]=>[4,1]
[-3,5,-4,-1,2]=>[3,5,4,1,2]=>[4,1,3,5,2]=>[4,1]
[-3,5,-4,-1,-2]=>[3,5,4,1,2]=>[4,1,3,5,2]=>[4,1]
[-3,-5,4,1,2]=>[3,5,4,1,2]=>[4,1,3,5,2]=>[4,1]
[-3,-5,4,1,-2]=>[3,5,4,1,2]=>[4,1,3,5,2]=>[4,1]
[-3,-5,4,-1,2]=>[3,5,4,1,2]=>[4,1,3,5,2]=>[4,1]
[-3,-5,4,-1,-2]=>[3,5,4,1,2]=>[4,1,3,5,2]=>[4,1]
[-3,-5,-4,1,2]=>[3,5,4,1,2]=>[4,1,3,5,2]=>[4,1]
[-3,-5,-4,1,-2]=>[3,5,4,1,2]=>[4,1,3,5,2]=>[4,1]
[-3,-5,-4,-1,2]=>[3,5,4,1,2]=>[4,1,3,5,2]=>[4,1]
[-3,-5,-4,-1,-2]=>[3,5,4,1,2]=>[4,1,3,5,2]=>[4,1]
[3,5,4,2,1]=>[3,5,4,2,1]=>[2,4,3,5,1]=>[4,1]
[3,5,4,2,-1]=>[3,5,4,2,1]=>[2,4,3,5,1]=>[4,1]
[3,5,4,-2,1]=>[3,5,4,2,1]=>[2,4,3,5,1]=>[4,1]
[3,5,4,-2,-1]=>[3,5,4,2,1]=>[2,4,3,5,1]=>[4,1]
[3,5,-4,2,1]=>[3,5,4,2,1]=>[2,4,3,5,1]=>[4,1]
[3,5,-4,2,-1]=>[3,5,4,2,1]=>[2,4,3,5,1]=>[4,1]
[3,5,-4,-2,1]=>[3,5,4,2,1]=>[2,4,3,5,1]=>[4,1]
[3,5,-4,-2,-1]=>[3,5,4,2,1]=>[2,4,3,5,1]=>[4,1]
[3,-5,4,2,1]=>[3,5,4,2,1]=>[2,4,3,5,1]=>[4,1]
[3,-5,4,2,-1]=>[3,5,4,2,1]=>[2,4,3,5,1]=>[4,1]
[3,-5,4,-2,1]=>[3,5,4,2,1]=>[2,4,3,5,1]=>[4,1]
[3,-5,4,-2,-1]=>[3,5,4,2,1]=>[2,4,3,5,1]=>[4,1]
[3,-5,-4,2,1]=>[3,5,4,2,1]=>[2,4,3,5,1]=>[4,1]
[3,-5,-4,2,-1]=>[3,5,4,2,1]=>[2,4,3,5,1]=>[4,1]
[3,-5,-4,-2,1]=>[3,5,4,2,1]=>[2,4,3,5,1]=>[4,1]
[3,-5,-4,-2,-1]=>[3,5,4,2,1]=>[2,4,3,5,1]=>[4,1]
[-3,5,4,2,1]=>[3,5,4,2,1]=>[2,4,3,5,1]=>[4,1]
[-3,5,4,2,-1]=>[3,5,4,2,1]=>[2,4,3,5,1]=>[4,1]
[-3,5,4,-2,1]=>[3,5,4,2,1]=>[2,4,3,5,1]=>[4,1]
[-3,5,4,-2,-1]=>[3,5,4,2,1]=>[2,4,3,5,1]=>[4,1]
[-3,5,-4,2,1]=>[3,5,4,2,1]=>[2,4,3,5,1]=>[4,1]
[-3,5,-4,2,-1]=>[3,5,4,2,1]=>[2,4,3,5,1]=>[4,1]
[-3,5,-4,-2,1]=>[3,5,4,2,1]=>[2,4,3,5,1]=>[4,1]
[-3,5,-4,-2,-1]=>[3,5,4,2,1]=>[2,4,3,5,1]=>[4,1]
[-3,-5,4,2,1]=>[3,5,4,2,1]=>[2,4,3,5,1]=>[4,1]
[-3,-5,4,2,-1]=>[3,5,4,2,1]=>[2,4,3,5,1]=>[4,1]
[-3,-5,4,-2,1]=>[3,5,4,2,1]=>[2,4,3,5,1]=>[4,1]
[-3,-5,4,-2,-1]=>[3,5,4,2,1]=>[2,4,3,5,1]=>[4,1]
[-3,-5,-4,2,1]=>[3,5,4,2,1]=>[2,4,3,5,1]=>[4,1]
[-3,-5,-4,2,-1]=>[3,5,4,2,1]=>[2,4,3,5,1]=>[4,1]
[-3,-5,-4,-2,1]=>[3,5,4,2,1]=>[2,4,3,5,1]=>[4,1]
[-3,-5,-4,-2,-1]=>[3,5,4,2,1]=>[2,4,3,5,1]=>[4,1]
[4,1,2,3,5]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[4,1]
[4,1,2,3,-5]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[4,1]
[4,1,2,-3,5]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[4,1]
[4,1,2,-3,-5]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[4,1]
[4,1,-2,3,5]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[4,1]
[4,1,-2,3,-5]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[4,1]
[4,1,-2,-3,5]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[4,1]
[4,1,-2,-3,-5]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[4,1]
[4,-1,2,3,5]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[4,1]
[4,-1,2,3,-5]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[4,1]
[4,-1,2,-3,5]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[4,1]
[4,-1,2,-3,-5]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[4,1]
[4,-1,-2,3,5]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[4,1]
[4,-1,-2,3,-5]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[4,1]
[4,-1,-2,-3,5]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[4,1]
[4,-1,-2,-3,-5]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[4,1]
[-4,1,2,3,5]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[4,1]
[-4,1,2,3,-5]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[4,1]
[-4,1,2,-3,5]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[4,1]
[-4,1,2,-3,-5]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[4,1]
[-4,1,-2,3,5]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[4,1]
[-4,1,-2,3,-5]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[4,1]
[-4,1,-2,-3,5]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[4,1]
[-4,1,-2,-3,-5]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[4,1]
[-4,-1,2,3,5]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[4,1]
[-4,-1,2,3,-5]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[4,1]
[-4,-1,2,-3,5]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[4,1]
[-4,-1,2,-3,-5]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[4,1]
[-4,-1,-2,3,5]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[4,1]
[-4,-1,-2,3,-5]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[4,1]
[-4,-1,-2,-3,5]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[4,1]
[-4,-1,-2,-3,-5]=>[4,1,2,3,5]=>[4,1,2,3,5]=>[4,1]
[4,1,2,5,3]=>[4,1,2,5,3]=>[4,1,5,2,3]=>[3,2]
[4,1,2,5,-3]=>[4,1,2,5,3]=>[4,1,5,2,3]=>[3,2]
[4,1,2,-5,3]=>[4,1,2,5,3]=>[4,1,5,2,3]=>[3,2]
[4,1,2,-5,-3]=>[4,1,2,5,3]=>[4,1,5,2,3]=>[3,2]
[4,1,-2,5,3]=>[4,1,2,5,3]=>[4,1,5,2,3]=>[3,2]
[4,1,-2,5,-3]=>[4,1,2,5,3]=>[4,1,5,2,3]=>[3,2]
[4,1,-2,-5,3]=>[4,1,2,5,3]=>[4,1,5,2,3]=>[3,2]
[4,1,-2,-5,-3]=>[4,1,2,5,3]=>[4,1,5,2,3]=>[3,2]
[4,-1,2,5,3]=>[4,1,2,5,3]=>[4,1,5,2,3]=>[3,2]
[4,-1,2,5,-3]=>[4,1,2,5,3]=>[4,1,5,2,3]=>[3,2]
[4,-1,2,-5,3]=>[4,1,2,5,3]=>[4,1,5,2,3]=>[3,2]
[4,-1,2,-5,-3]=>[4,1,2,5,3]=>[4,1,5,2,3]=>[3,2]
[4,-1,-2,5,3]=>[4,1,2,5,3]=>[4,1,5,2,3]=>[3,2]
[4,-1,-2,5,-3]=>[4,1,2,5,3]=>[4,1,5,2,3]=>[3,2]
[4,-1,-2,-5,3]=>[4,1,2,5,3]=>[4,1,5,2,3]=>[3,2]
[4,-1,-2,-5,-3]=>[4,1,2,5,3]=>[4,1,5,2,3]=>[3,2]
[-4,1,2,5,3]=>[4,1,2,5,3]=>[4,1,5,2,3]=>[3,2]
[-4,1,2,5,-3]=>[4,1,2,5,3]=>[4,1,5,2,3]=>[3,2]
[-4,1,2,-5,3]=>[4,1,2,5,3]=>[4,1,5,2,3]=>[3,2]
[-4,1,2,-5,-3]=>[4,1,2,5,3]=>[4,1,5,2,3]=>[3,2]
[-4,1,-2,5,3]=>[4,1,2,5,3]=>[4,1,5,2,3]=>[3,2]
[-4,1,-2,5,-3]=>[4,1,2,5,3]=>[4,1,5,2,3]=>[3,2]
[-4,1,-2,-5,3]=>[4,1,2,5,3]=>[4,1,5,2,3]=>[3,2]
[-4,1,-2,-5,-3]=>[4,1,2,5,3]=>[4,1,5,2,3]=>[3,2]
[-4,-1,2,5,3]=>[4,1,2,5,3]=>[4,1,5,2,3]=>[3,2]
[-4,-1,2,5,-3]=>[4,1,2,5,3]=>[4,1,5,2,3]=>[3,2]
[-4,-1,2,-5,3]=>[4,1,2,5,3]=>[4,1,5,2,3]=>[3,2]
[-4,-1,2,-5,-3]=>[4,1,2,5,3]=>[4,1,5,2,3]=>[3,2]
[-4,-1,-2,5,3]=>[4,1,2,5,3]=>[4,1,5,2,3]=>[3,2]
[-4,-1,-2,5,-3]=>[4,1,2,5,3]=>[4,1,5,2,3]=>[3,2]
[-4,-1,-2,-5,3]=>[4,1,2,5,3]=>[4,1,5,2,3]=>[3,2]
[-4,-1,-2,-5,-3]=>[4,1,2,5,3]=>[4,1,5,2,3]=>[3,2]
[4,1,3,2,5]=>[4,1,3,2,5]=>[4,3,1,2,5]=>[4,1]
[4,1,3,2,-5]=>[4,1,3,2,5]=>[4,3,1,2,5]=>[4,1]
[4,1,3,-2,5]=>[4,1,3,2,5]=>[4,3,1,2,5]=>[4,1]
[4,1,3,-2,-5]=>[4,1,3,2,5]=>[4,3,1,2,5]=>[4,1]
[4,1,-3,2,5]=>[4,1,3,2,5]=>[4,3,1,2,5]=>[4,1]
[4,1,-3,2,-5]=>[4,1,3,2,5]=>[4,3,1,2,5]=>[4,1]
[4,1,-3,-2,5]=>[4,1,3,2,5]=>[4,3,1,2,5]=>[4,1]
[4,1,-3,-2,-5]=>[4,1,3,2,5]=>[4,3,1,2,5]=>[4,1]
[4,-1,3,2,5]=>[4,1,3,2,5]=>[4,3,1,2,5]=>[4,1]
[4,-1,3,2,-5]=>[4,1,3,2,5]=>[4,3,1,2,5]=>[4,1]
[4,-1,3,-2,5]=>[4,1,3,2,5]=>[4,3,1,2,5]=>[4,1]
[4,-1,3,-2,-5]=>[4,1,3,2,5]=>[4,3,1,2,5]=>[4,1]
[4,-1,-3,2,5]=>[4,1,3,2,5]=>[4,3,1,2,5]=>[4,1]
[4,-1,-3,2,-5]=>[4,1,3,2,5]=>[4,3,1,2,5]=>[4,1]
[4,-1,-3,-2,5]=>[4,1,3,2,5]=>[4,3,1,2,5]=>[4,1]
[4,-1,-3,-2,-5]=>[4,1,3,2,5]=>[4,3,1,2,5]=>[4,1]
[-4,1,3,2,5]=>[4,1,3,2,5]=>[4,3,1,2,5]=>[4,1]
[-4,1,3,2,-5]=>[4,1,3,2,5]=>[4,3,1,2,5]=>[4,1]
[-4,1,3,-2,5]=>[4,1,3,2,5]=>[4,3,1,2,5]=>[4,1]
[-4,1,3,-2,-5]=>[4,1,3,2,5]=>[4,3,1,2,5]=>[4,1]
[-4,1,-3,2,5]=>[4,1,3,2,5]=>[4,3,1,2,5]=>[4,1]
[-4,1,-3,2,-5]=>[4,1,3,2,5]=>[4,3,1,2,5]=>[4,1]
[-4,1,-3,-2,5]=>[4,1,3,2,5]=>[4,3,1,2,5]=>[4,1]
[-4,1,-3,-2,-5]=>[4,1,3,2,5]=>[4,3,1,2,5]=>[4,1]
[-4,-1,3,2,5]=>[4,1,3,2,5]=>[4,3,1,2,5]=>[4,1]
[-4,-1,3,2,-5]=>[4,1,3,2,5]=>[4,3,1,2,5]=>[4,1]
[-4,-1,3,-2,5]=>[4,1,3,2,5]=>[4,3,1,2,5]=>[4,1]
[-4,-1,3,-2,-5]=>[4,1,3,2,5]=>[4,3,1,2,5]=>[4,1]
[-4,-1,-3,2,5]=>[4,1,3,2,5]=>[4,3,1,2,5]=>[4,1]
[-4,-1,-3,2,-5]=>[4,1,3,2,5]=>[4,3,1,2,5]=>[4,1]
[-4,-1,-3,-2,5]=>[4,1,3,2,5]=>[4,3,1,2,5]=>[4,1]
[-4,-1,-3,-2,-5]=>[4,1,3,2,5]=>[4,3,1,2,5]=>[4,1]
[4,1,3,5,2]=>[4,1,3,5,2]=>[4,5,1,3,2]=>[3,2]
[4,1,3,5,-2]=>[4,1,3,5,2]=>[4,5,1,3,2]=>[3,2]
[4,1,3,-5,2]=>[4,1,3,5,2]=>[4,5,1,3,2]=>[3,2]
[4,1,3,-5,-2]=>[4,1,3,5,2]=>[4,5,1,3,2]=>[3,2]
[4,1,-3,5,2]=>[4,1,3,5,2]=>[4,5,1,3,2]=>[3,2]
[4,1,-3,5,-2]=>[4,1,3,5,2]=>[4,5,1,3,2]=>[3,2]
[4,1,-3,-5,2]=>[4,1,3,5,2]=>[4,5,1,3,2]=>[3,2]
[4,1,-3,-5,-2]=>[4,1,3,5,2]=>[4,5,1,3,2]=>[3,2]
[4,-1,3,5,2]=>[4,1,3,5,2]=>[4,5,1,3,2]=>[3,2]
[4,-1,3,5,-2]=>[4,1,3,5,2]=>[4,5,1,3,2]=>[3,2]
[4,-1,3,-5,2]=>[4,1,3,5,2]=>[4,5,1,3,2]=>[3,2]
[4,-1,3,-5,-2]=>[4,1,3,5,2]=>[4,5,1,3,2]=>[3,2]
[4,-1,-3,5,2]=>[4,1,3,5,2]=>[4,5,1,3,2]=>[3,2]
[4,-1,-3,5,-2]=>[4,1,3,5,2]=>[4,5,1,3,2]=>[3,2]
[4,-1,-3,-5,2]=>[4,1,3,5,2]=>[4,5,1,3,2]=>[3,2]
[4,-1,-3,-5,-2]=>[4,1,3,5,2]=>[4,5,1,3,2]=>[3,2]
[-4,1,3,5,2]=>[4,1,3,5,2]=>[4,5,1,3,2]=>[3,2]
[-4,1,3,5,-2]=>[4,1,3,5,2]=>[4,5,1,3,2]=>[3,2]
[-4,1,3,-5,2]=>[4,1,3,5,2]=>[4,5,1,3,2]=>[3,2]
[-4,1,3,-5,-2]=>[4,1,3,5,2]=>[4,5,1,3,2]=>[3,2]
[-4,1,-3,5,2]=>[4,1,3,5,2]=>[4,5,1,3,2]=>[3,2]
[-4,1,-3,5,-2]=>[4,1,3,5,2]=>[4,5,1,3,2]=>[3,2]
[-4,1,-3,-5,2]=>[4,1,3,5,2]=>[4,5,1,3,2]=>[3,2]
[-4,1,-3,-5,-2]=>[4,1,3,5,2]=>[4,5,1,3,2]=>[3,2]
[-4,-1,3,5,2]=>[4,1,3,5,2]=>[4,5,1,3,2]=>[3,2]
[-4,-1,3,5,-2]=>[4,1,3,5,2]=>[4,5,1,3,2]=>[3,2]
[-4,-1,3,-5,2]=>[4,1,3,5,2]=>[4,5,1,3,2]=>[3,2]
[-4,-1,3,-5,-2]=>[4,1,3,5,2]=>[4,5,1,3,2]=>[3,2]
[-4,-1,-3,5,2]=>[4,1,3,5,2]=>[4,5,1,3,2]=>[3,2]
[-4,-1,-3,5,-2]=>[4,1,3,5,2]=>[4,5,1,3,2]=>[3,2]
[-4,-1,-3,-5,2]=>[4,1,3,5,2]=>[4,5,1,3,2]=>[3,2]
[-4,-1,-3,-5,-2]=>[4,1,3,5,2]=>[4,5,1,3,2]=>[3,2]
[4,1,5,2,3]=>[4,1,5,2,3]=>[4,5,2,1,3]=>[3,2]
[4,1,5,2,-3]=>[4,1,5,2,3]=>[4,5,2,1,3]=>[3,2]
[4,1,5,-2,3]=>[4,1,5,2,3]=>[4,5,2,1,3]=>[3,2]
[4,1,5,-2,-3]=>[4,1,5,2,3]=>[4,5,2,1,3]=>[3,2]
[4,1,-5,2,3]=>[4,1,5,2,3]=>[4,5,2,1,3]=>[3,2]
[4,1,-5,2,-3]=>[4,1,5,2,3]=>[4,5,2,1,3]=>[3,2]
[4,1,-5,-2,3]=>[4,1,5,2,3]=>[4,5,2,1,3]=>[3,2]
[4,1,-5,-2,-3]=>[4,1,5,2,3]=>[4,5,2,1,3]=>[3,2]
[4,-1,5,2,3]=>[4,1,5,2,3]=>[4,5,2,1,3]=>[3,2]
[4,-1,5,2,-3]=>[4,1,5,2,3]=>[4,5,2,1,3]=>[3,2]
[4,-1,5,-2,3]=>[4,1,5,2,3]=>[4,5,2,1,3]=>[3,2]
[4,-1,5,-2,-3]=>[4,1,5,2,3]=>[4,5,2,1,3]=>[3,2]
[4,-1,-5,2,3]=>[4,1,5,2,3]=>[4,5,2,1,3]=>[3,2]
[4,-1,-5,2,-3]=>[4,1,5,2,3]=>[4,5,2,1,3]=>[3,2]
[4,-1,-5,-2,3]=>[4,1,5,2,3]=>[4,5,2,1,3]=>[3,2]
[4,-1,-5,-2,-3]=>[4,1,5,2,3]=>[4,5,2,1,3]=>[3,2]
[-4,1,5,2,3]=>[4,1,5,2,3]=>[4,5,2,1,3]=>[3,2]
[-4,1,5,2,-3]=>[4,1,5,2,3]=>[4,5,2,1,3]=>[3,2]
[-4,1,5,-2,3]=>[4,1,5,2,3]=>[4,5,2,1,3]=>[3,2]
[-4,1,5,-2,-3]=>[4,1,5,2,3]=>[4,5,2,1,3]=>[3,2]
[-4,1,-5,2,3]=>[4,1,5,2,3]=>[4,5,2,1,3]=>[3,2]
[-4,1,-5,2,-3]=>[4,1,5,2,3]=>[4,5,2,1,3]=>[3,2]
[-4,1,-5,-2,3]=>[4,1,5,2,3]=>[4,5,2,1,3]=>[3,2]
[-4,1,-5,-2,-3]=>[4,1,5,2,3]=>[4,5,2,1,3]=>[3,2]
[-4,-1,5,2,3]=>[4,1,5,2,3]=>[4,5,2,1,3]=>[3,2]
[-4,-1,5,2,-3]=>[4,1,5,2,3]=>[4,5,2,1,3]=>[3,2]
[-4,-1,5,-2,3]=>[4,1,5,2,3]=>[4,5,2,1,3]=>[3,2]
[-4,-1,5,-2,-3]=>[4,1,5,2,3]=>[4,5,2,1,3]=>[3,2]
[-4,-1,-5,2,3]=>[4,1,5,2,3]=>[4,5,2,1,3]=>[3,2]
[-4,-1,-5,2,-3]=>[4,1,5,2,3]=>[4,5,2,1,3]=>[3,2]
[-4,-1,-5,-2,3]=>[4,1,5,2,3]=>[4,5,2,1,3]=>[3,2]
[-4,-1,-5,-2,-3]=>[4,1,5,2,3]=>[4,5,2,1,3]=>[3,2]
[4,1,5,3,2]=>[4,1,5,3,2]=>[4,3,5,1,2]=>[3,2]
[4,1,5,3,-2]=>[4,1,5,3,2]=>[4,3,5,1,2]=>[3,2]
[4,1,5,-3,2]=>[4,1,5,3,2]=>[4,3,5,1,2]=>[3,2]
[4,1,5,-3,-2]=>[4,1,5,3,2]=>[4,3,5,1,2]=>[3,2]
[4,1,-5,3,2]=>[4,1,5,3,2]=>[4,3,5,1,2]=>[3,2]
[4,1,-5,3,-2]=>[4,1,5,3,2]=>[4,3,5,1,2]=>[3,2]
[4,1,-5,-3,2]=>[4,1,5,3,2]=>[4,3,5,1,2]=>[3,2]
[4,1,-5,-3,-2]=>[4,1,5,3,2]=>[4,3,5,1,2]=>[3,2]
[4,-1,5,3,2]=>[4,1,5,3,2]=>[4,3,5,1,2]=>[3,2]
[4,-1,5,3,-2]=>[4,1,5,3,2]=>[4,3,5,1,2]=>[3,2]
[4,-1,5,-3,2]=>[4,1,5,3,2]=>[4,3,5,1,2]=>[3,2]
[4,-1,5,-3,-2]=>[4,1,5,3,2]=>[4,3,5,1,2]=>[3,2]
[4,-1,-5,3,2]=>[4,1,5,3,2]=>[4,3,5,1,2]=>[3,2]
[4,-1,-5,3,-2]=>[4,1,5,3,2]=>[4,3,5,1,2]=>[3,2]
[4,-1,-5,-3,2]=>[4,1,5,3,2]=>[4,3,5,1,2]=>[3,2]
[4,-1,-5,-3,-2]=>[4,1,5,3,2]=>[4,3,5,1,2]=>[3,2]
[-4,1,5,3,2]=>[4,1,5,3,2]=>[4,3,5,1,2]=>[3,2]
[-4,1,5,3,-2]=>[4,1,5,3,2]=>[4,3,5,1,2]=>[3,2]
[-4,1,5,-3,2]=>[4,1,5,3,2]=>[4,3,5,1,2]=>[3,2]
[-4,1,5,-3,-2]=>[4,1,5,3,2]=>[4,3,5,1,2]=>[3,2]
[-4,1,-5,3,2]=>[4,1,5,3,2]=>[4,3,5,1,2]=>[3,2]
[-4,1,-5,3,-2]=>[4,1,5,3,2]=>[4,3,5,1,2]=>[3,2]
[-4,1,-5,-3,2]=>[4,1,5,3,2]=>[4,3,5,1,2]=>[3,2]
[-4,1,-5,-3,-2]=>[4,1,5,3,2]=>[4,3,5,1,2]=>[3,2]
[-4,-1,5,3,2]=>[4,1,5,3,2]=>[4,3,5,1,2]=>[3,2]
[-4,-1,5,3,-2]=>[4,1,5,3,2]=>[4,3,5,1,2]=>[3,2]
[-4,-1,5,-3,2]=>[4,1,5,3,2]=>[4,3,5,1,2]=>[3,2]
[-4,-1,5,-3,-2]=>[4,1,5,3,2]=>[4,3,5,1,2]=>[3,2]
[-4,-1,-5,3,2]=>[4,1,5,3,2]=>[4,3,5,1,2]=>[3,2]
[-4,-1,-5,3,-2]=>[4,1,5,3,2]=>[4,3,5,1,2]=>[3,2]
[-4,-1,-5,-3,2]=>[4,1,5,3,2]=>[4,3,5,1,2]=>[3,2]
[-4,-1,-5,-3,-2]=>[4,1,5,3,2]=>[4,3,5,1,2]=>[3,2]
[4,2,1,3,5]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[4,1]
[4,2,1,3,-5]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[4,1]
[4,2,1,-3,5]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[4,1]
[4,2,1,-3,-5]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[4,1]
[4,2,-1,3,5]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[4,1]
[4,2,-1,3,-5]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[4,1]
[4,2,-1,-3,5]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[4,1]
[4,2,-1,-3,-5]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[4,1]
[4,-2,1,3,5]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[4,1]
[4,-2,1,3,-5]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[4,1]
[4,-2,1,-3,5]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[4,1]
[4,-2,1,-3,-5]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[4,1]
[4,-2,-1,3,5]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[4,1]
[4,-2,-1,3,-5]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[4,1]
[4,-2,-1,-3,5]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[4,1]
[4,-2,-1,-3,-5]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[4,1]
[-4,2,1,3,5]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[4,1]
[-4,2,1,3,-5]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[4,1]
[-4,2,1,-3,5]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[4,1]
[-4,2,1,-3,-5]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[4,1]
[-4,2,-1,3,5]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[4,1]
[-4,2,-1,3,-5]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[4,1]
[-4,2,-1,-3,5]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[4,1]
[-4,2,-1,-3,-5]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[4,1]
[-4,-2,1,3,5]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[4,1]
[-4,-2,1,3,-5]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[4,1]
[-4,-2,1,-3,5]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[4,1]
[-4,-2,1,-3,-5]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[4,1]
[-4,-2,-1,3,5]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[4,1]
[-4,-2,-1,3,-5]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[4,1]
[-4,-2,-1,-3,5]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[4,1]
[-4,-2,-1,-3,-5]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[4,1]
[4,2,1,5,3]=>[4,2,1,5,3]=>[2,4,5,1,3]=>[3,2]
[4,2,1,5,-3]=>[4,2,1,5,3]=>[2,4,5,1,3]=>[3,2]
[4,2,1,-5,3]=>[4,2,1,5,3]=>[2,4,5,1,3]=>[3,2]
[4,2,1,-5,-3]=>[4,2,1,5,3]=>[2,4,5,1,3]=>[3,2]
[4,2,-1,5,3]=>[4,2,1,5,3]=>[2,4,5,1,3]=>[3,2]
[4,2,-1,5,-3]=>[4,2,1,5,3]=>[2,4,5,1,3]=>[3,2]
[4,2,-1,-5,3]=>[4,2,1,5,3]=>[2,4,5,1,3]=>[3,2]
[4,2,-1,-5,-3]=>[4,2,1,5,3]=>[2,4,5,1,3]=>[3,2]
[4,-2,1,5,3]=>[4,2,1,5,3]=>[2,4,5,1,3]=>[3,2]
[4,-2,1,5,-3]=>[4,2,1,5,3]=>[2,4,5,1,3]=>[3,2]
[4,-2,1,-5,3]=>[4,2,1,5,3]=>[2,4,5,1,3]=>[3,2]
[4,-2,1,-5,-3]=>[4,2,1,5,3]=>[2,4,5,1,3]=>[3,2]
[4,-2,-1,5,3]=>[4,2,1,5,3]=>[2,4,5,1,3]=>[3,2]
[4,-2,-1,5,-3]=>[4,2,1,5,3]=>[2,4,5,1,3]=>[3,2]
[4,-2,-1,-5,3]=>[4,2,1,5,3]=>[2,4,5,1,3]=>[3,2]
[4,-2,-1,-5,-3]=>[4,2,1,5,3]=>[2,4,5,1,3]=>[3,2]
[-4,2,1,5,3]=>[4,2,1,5,3]=>[2,4,5,1,3]=>[3,2]
[-4,2,1,5,-3]=>[4,2,1,5,3]=>[2,4,5,1,3]=>[3,2]
[-4,2,1,-5,3]=>[4,2,1,5,3]=>[2,4,5,1,3]=>[3,2]
[-4,2,1,-5,-3]=>[4,2,1,5,3]=>[2,4,5,1,3]=>[3,2]
[-4,2,-1,5,3]=>[4,2,1,5,3]=>[2,4,5,1,3]=>[3,2]
[-4,2,-1,5,-3]=>[4,2,1,5,3]=>[2,4,5,1,3]=>[3,2]
[-4,2,-1,-5,3]=>[4,2,1,5,3]=>[2,4,5,1,3]=>[3,2]
[-4,2,-1,-5,-3]=>[4,2,1,5,3]=>[2,4,5,1,3]=>[3,2]
[-4,-2,1,5,3]=>[4,2,1,5,3]=>[2,4,5,1,3]=>[3,2]
[-4,-2,1,5,-3]=>[4,2,1,5,3]=>[2,4,5,1,3]=>[3,2]
[-4,-2,1,-5,3]=>[4,2,1,5,3]=>[2,4,5,1,3]=>[3,2]
[-4,-2,1,-5,-3]=>[4,2,1,5,3]=>[2,4,5,1,3]=>[3,2]
[-4,-2,-1,5,3]=>[4,2,1,5,3]=>[2,4,5,1,3]=>[3,2]
[-4,-2,-1,5,-3]=>[4,2,1,5,3]=>[2,4,5,1,3]=>[3,2]
[-4,-2,-1,-5,3]=>[4,2,1,5,3]=>[2,4,5,1,3]=>[3,2]
[-4,-2,-1,-5,-3]=>[4,2,1,5,3]=>[2,4,5,1,3]=>[3,2]
[4,2,3,1,5]=>[4,2,3,1,5]=>[3,4,2,1,5]=>[4,1]
[4,2,3,1,-5]=>[4,2,3,1,5]=>[3,4,2,1,5]=>[4,1]
[4,2,3,-1,5]=>[4,2,3,1,5]=>[3,4,2,1,5]=>[4,1]
[4,2,3,-1,-5]=>[4,2,3,1,5]=>[3,4,2,1,5]=>[4,1]
[4,2,-3,1,5]=>[4,2,3,1,5]=>[3,4,2,1,5]=>[4,1]
[4,2,-3,1,-5]=>[4,2,3,1,5]=>[3,4,2,1,5]=>[4,1]
[4,2,-3,-1,5]=>[4,2,3,1,5]=>[3,4,2,1,5]=>[4,1]
[4,2,-3,-1,-5]=>[4,2,3,1,5]=>[3,4,2,1,5]=>[4,1]
[4,-2,3,1,5]=>[4,2,3,1,5]=>[3,4,2,1,5]=>[4,1]
[4,-2,3,1,-5]=>[4,2,3,1,5]=>[3,4,2,1,5]=>[4,1]
[4,-2,3,-1,5]=>[4,2,3,1,5]=>[3,4,2,1,5]=>[4,1]
[4,-2,3,-1,-5]=>[4,2,3,1,5]=>[3,4,2,1,5]=>[4,1]
[4,-2,-3,1,5]=>[4,2,3,1,5]=>[3,4,2,1,5]=>[4,1]
[4,-2,-3,1,-5]=>[4,2,3,1,5]=>[3,4,2,1,5]=>[4,1]
[4,-2,-3,-1,5]=>[4,2,3,1,5]=>[3,4,2,1,5]=>[4,1]
[4,-2,-3,-1,-5]=>[4,2,3,1,5]=>[3,4,2,1,5]=>[4,1]
[-4,2,3,1,5]=>[4,2,3,1,5]=>[3,4,2,1,5]=>[4,1]
[-4,2,3,1,-5]=>[4,2,3,1,5]=>[3,4,2,1,5]=>[4,1]
[-4,2,3,-1,5]=>[4,2,3,1,5]=>[3,4,2,1,5]=>[4,1]
[-4,2,3,-1,-5]=>[4,2,3,1,5]=>[3,4,2,1,5]=>[4,1]
[-4,2,-3,1,5]=>[4,2,3,1,5]=>[3,4,2,1,5]=>[4,1]
[-4,2,-3,1,-5]=>[4,2,3,1,5]=>[3,4,2,1,5]=>[4,1]
[-4,2,-3,-1,5]=>[4,2,3,1,5]=>[3,4,2,1,5]=>[4,1]
[-4,2,-3,-1,-5]=>[4,2,3,1,5]=>[3,4,2,1,5]=>[4,1]
[-4,-2,3,1,5]=>[4,2,3,1,5]=>[3,4,2,1,5]=>[4,1]
[-4,-2,3,1,-5]=>[4,2,3,1,5]=>[3,4,2,1,5]=>[4,1]
[-4,-2,3,-1,5]=>[4,2,3,1,5]=>[3,4,2,1,5]=>[4,1]
[-4,-2,3,-1,-5]=>[4,2,3,1,5]=>[3,4,2,1,5]=>[4,1]
[-4,-2,-3,1,5]=>[4,2,3,1,5]=>[3,4,2,1,5]=>[4,1]
[-4,-2,-3,1,-5]=>[4,2,3,1,5]=>[3,4,2,1,5]=>[4,1]
[-4,-2,-3,-1,5]=>[4,2,3,1,5]=>[3,4,2,1,5]=>[4,1]
[-4,-2,-3,-1,-5]=>[4,2,3,1,5]=>[3,4,2,1,5]=>[4,1]
[4,2,3,5,1]=>[4,2,3,5,1]=>[5,4,2,3,1]=>[3,2]
[4,2,3,5,-1]=>[4,2,3,5,1]=>[5,4,2,3,1]=>[3,2]
[4,2,3,-5,1]=>[4,2,3,5,1]=>[5,4,2,3,1]=>[3,2]
[4,2,3,-5,-1]=>[4,2,3,5,1]=>[5,4,2,3,1]=>[3,2]
[4,2,-3,5,1]=>[4,2,3,5,1]=>[5,4,2,3,1]=>[3,2]
[4,2,-3,5,-1]=>[4,2,3,5,1]=>[5,4,2,3,1]=>[3,2]
[4,2,-3,-5,1]=>[4,2,3,5,1]=>[5,4,2,3,1]=>[3,2]
[4,2,-3,-5,-1]=>[4,2,3,5,1]=>[5,4,2,3,1]=>[3,2]
[4,-2,3,5,1]=>[4,2,3,5,1]=>[5,4,2,3,1]=>[3,2]
[4,-2,3,5,-1]=>[4,2,3,5,1]=>[5,4,2,3,1]=>[3,2]
[4,-2,3,-5,1]=>[4,2,3,5,1]=>[5,4,2,3,1]=>[3,2]
[4,-2,3,-5,-1]=>[4,2,3,5,1]=>[5,4,2,3,1]=>[3,2]
[4,-2,-3,5,1]=>[4,2,3,5,1]=>[5,4,2,3,1]=>[3,2]
[4,-2,-3,5,-1]=>[4,2,3,5,1]=>[5,4,2,3,1]=>[3,2]
[4,-2,-3,-5,1]=>[4,2,3,5,1]=>[5,4,2,3,1]=>[3,2]
[4,-2,-3,-5,-1]=>[4,2,3,5,1]=>[5,4,2,3,1]=>[3,2]
[-4,2,3,5,1]=>[4,2,3,5,1]=>[5,4,2,3,1]=>[3,2]
[-4,2,3,5,-1]=>[4,2,3,5,1]=>[5,4,2,3,1]=>[3,2]
[-4,2,3,-5,1]=>[4,2,3,5,1]=>[5,4,2,3,1]=>[3,2]
[-4,2,3,-5,-1]=>[4,2,3,5,1]=>[5,4,2,3,1]=>[3,2]
[-4,2,-3,5,1]=>[4,2,3,5,1]=>[5,4,2,3,1]=>[3,2]
[-4,2,-3,5,-1]=>[4,2,3,5,1]=>[5,4,2,3,1]=>[3,2]
[-4,2,-3,-5,1]=>[4,2,3,5,1]=>[5,4,2,3,1]=>[3,2]
[-4,2,-3,-5,-1]=>[4,2,3,5,1]=>[5,4,2,3,1]=>[3,2]
[-4,-2,3,5,1]=>[4,2,3,5,1]=>[5,4,2,3,1]=>[3,2]
[-4,-2,3,5,-1]=>[4,2,3,5,1]=>[5,4,2,3,1]=>[3,2]
[-4,-2,3,-5,1]=>[4,2,3,5,1]=>[5,4,2,3,1]=>[3,2]
[-4,-2,3,-5,-1]=>[4,2,3,5,1]=>[5,4,2,3,1]=>[3,2]
[-4,-2,-3,5,1]=>[4,2,3,5,1]=>[5,4,2,3,1]=>[3,2]
[-4,-2,-3,5,-1]=>[4,2,3,5,1]=>[5,4,2,3,1]=>[3,2]
[-4,-2,-3,-5,1]=>[4,2,3,5,1]=>[5,4,2,3,1]=>[3,2]
[-4,-2,-3,-5,-1]=>[4,2,3,5,1]=>[5,4,2,3,1]=>[3,2]
[4,2,5,1,3]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[3,2]
[4,2,5,1,-3]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[3,2]
[4,2,5,-1,3]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[3,2]
[4,2,5,-1,-3]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[3,2]
[4,2,-5,1,3]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[3,2]
[4,2,-5,1,-3]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[3,2]
[4,2,-5,-1,3]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[3,2]
[4,2,-5,-1,-3]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[3,2]
[4,-2,5,1,3]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[3,2]
[4,-2,5,1,-3]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[3,2]
[4,-2,5,-1,3]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[3,2]
[4,-2,5,-1,-3]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[3,2]
[4,-2,-5,1,3]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[3,2]
[4,-2,-5,1,-3]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[3,2]
[4,-2,-5,-1,3]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[3,2]
[4,-2,-5,-1,-3]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[3,2]
[-4,2,5,1,3]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[3,2]
[-4,2,5,1,-3]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[3,2]
[-4,2,5,-1,3]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[3,2]
[-4,2,5,-1,-3]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[3,2]
[-4,2,-5,1,3]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[3,2]
[-4,2,-5,1,-3]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[3,2]
[-4,2,-5,-1,3]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[3,2]
[-4,2,-5,-1,-3]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[3,2]
[-4,-2,5,1,3]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[3,2]
[-4,-2,5,1,-3]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[3,2]
[-4,-2,5,-1,3]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[3,2]
[-4,-2,5,-1,-3]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[3,2]
[-4,-2,-5,1,3]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[3,2]
[-4,-2,-5,1,-3]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[3,2]
[-4,-2,-5,-1,3]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[3,2]
[-4,-2,-5,-1,-3]=>[4,2,5,1,3]=>[5,4,1,2,3]=>[3,2]
[4,2,5,3,1]=>[4,2,5,3,1]=>[3,5,4,1,2]=>[3,2]
[4,2,5,3,-1]=>[4,2,5,3,1]=>[3,5,4,1,2]=>[3,2]
[4,2,5,-3,1]=>[4,2,5,3,1]=>[3,5,4,1,2]=>[3,2]
[4,2,5,-3,-1]=>[4,2,5,3,1]=>[3,5,4,1,2]=>[3,2]
[4,2,-5,3,1]=>[4,2,5,3,1]=>[3,5,4,1,2]=>[3,2]
[4,2,-5,3,-1]=>[4,2,5,3,1]=>[3,5,4,1,2]=>[3,2]
[4,2,-5,-3,1]=>[4,2,5,3,1]=>[3,5,4,1,2]=>[3,2]
[4,2,-5,-3,-1]=>[4,2,5,3,1]=>[3,5,4,1,2]=>[3,2]
[4,-2,5,3,1]=>[4,2,5,3,1]=>[3,5,4,1,2]=>[3,2]
[4,-2,5,3,-1]=>[4,2,5,3,1]=>[3,5,4,1,2]=>[3,2]
[4,-2,5,-3,1]=>[4,2,5,3,1]=>[3,5,4,1,2]=>[3,2]
[4,-2,5,-3,-1]=>[4,2,5,3,1]=>[3,5,4,1,2]=>[3,2]
[4,-2,-5,3,1]=>[4,2,5,3,1]=>[3,5,4,1,2]=>[3,2]
[4,-2,-5,3,-1]=>[4,2,5,3,1]=>[3,5,4,1,2]=>[3,2]
[4,-2,-5,-3,1]=>[4,2,5,3,1]=>[3,5,4,1,2]=>[3,2]
[4,-2,-5,-3,-1]=>[4,2,5,3,1]=>[3,5,4,1,2]=>[3,2]
[-4,2,5,3,1]=>[4,2,5,3,1]=>[3,5,4,1,2]=>[3,2]
[-4,2,5,3,-1]=>[4,2,5,3,1]=>[3,5,4,1,2]=>[3,2]
[-4,2,5,-3,1]=>[4,2,5,3,1]=>[3,5,4,1,2]=>[3,2]
[-4,2,5,-3,-1]=>[4,2,5,3,1]=>[3,5,4,1,2]=>[3,2]
[-4,2,-5,3,1]=>[4,2,5,3,1]=>[3,5,4,1,2]=>[3,2]
[-4,2,-5,3,-1]=>[4,2,5,3,1]=>[3,5,4,1,2]=>[3,2]
[-4,2,-5,-3,1]=>[4,2,5,3,1]=>[3,5,4,1,2]=>[3,2]
[-4,2,-5,-3,-1]=>[4,2,5,3,1]=>[3,5,4,1,2]=>[3,2]
[-4,-2,5,3,1]=>[4,2,5,3,1]=>[3,5,4,1,2]=>[3,2]
[-4,-2,5,3,-1]=>[4,2,5,3,1]=>[3,5,4,1,2]=>[3,2]
[-4,-2,5,-3,1]=>[4,2,5,3,1]=>[3,5,4,1,2]=>[3,2]
[-4,-2,5,-3,-1]=>[4,2,5,3,1]=>[3,5,4,1,2]=>[3,2]
[-4,-2,-5,3,1]=>[4,2,5,3,1]=>[3,5,4,1,2]=>[3,2]
[-4,-2,-5,3,-1]=>[4,2,5,3,1]=>[3,5,4,1,2]=>[3,2]
[-4,-2,-5,-3,1]=>[4,2,5,3,1]=>[3,5,4,1,2]=>[3,2]
[-4,-2,-5,-3,-1]=>[4,2,5,3,1]=>[3,5,4,1,2]=>[3,2]
[4,3,1,2,5]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[4,1]
[4,3,1,2,-5]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[4,1]
[4,3,1,-2,5]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[4,1]
[4,3,1,-2,-5]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[4,1]
[4,3,-1,2,5]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[4,1]
[4,3,-1,2,-5]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[4,1]
[4,3,-1,-2,5]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[4,1]
[4,3,-1,-2,-5]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[4,1]
[4,-3,1,2,5]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[4,1]
[4,-3,1,2,-5]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[4,1]
[4,-3,1,-2,5]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[4,1]
[4,-3,1,-2,-5]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[4,1]
[4,-3,-1,2,5]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[4,1]
[4,-3,-1,2,-5]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[4,1]
[4,-3,-1,-2,5]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[4,1]
[4,-3,-1,-2,-5]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[4,1]
[-4,3,1,2,5]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[4,1]
[-4,3,1,2,-5]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[4,1]
[-4,3,1,-2,5]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[4,1]
[-4,3,1,-2,-5]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[4,1]
[-4,3,-1,2,5]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[4,1]
[-4,3,-1,2,-5]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[4,1]
[-4,3,-1,-2,5]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[4,1]
[-4,3,-1,-2,-5]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[4,1]
[-4,-3,1,2,5]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[4,1]
[-4,-3,1,2,-5]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[4,1]
[-4,-3,1,-2,5]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[4,1]
[-4,-3,1,-2,-5]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[4,1]
[-4,-3,-1,2,5]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[4,1]
[-4,-3,-1,2,-5]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[4,1]
[-4,-3,-1,-2,5]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[4,1]
[-4,-3,-1,-2,-5]=>[4,3,1,2,5]=>[3,1,4,2,5]=>[4,1]
[4,3,1,5,2]=>[4,3,1,5,2]=>[3,4,5,2,1]=>[3,2]
[4,3,1,5,-2]=>[4,3,1,5,2]=>[3,4,5,2,1]=>[3,2]
[4,3,1,-5,2]=>[4,3,1,5,2]=>[3,4,5,2,1]=>[3,2]
[4,3,1,-5,-2]=>[4,3,1,5,2]=>[3,4,5,2,1]=>[3,2]
[4,3,-1,5,2]=>[4,3,1,5,2]=>[3,4,5,2,1]=>[3,2]
[4,3,-1,5,-2]=>[4,3,1,5,2]=>[3,4,5,2,1]=>[3,2]
[4,3,-1,-5,2]=>[4,3,1,5,2]=>[3,4,5,2,1]=>[3,2]
[4,3,-1,-5,-2]=>[4,3,1,5,2]=>[3,4,5,2,1]=>[3,2]
[4,-3,1,5,2]=>[4,3,1,5,2]=>[3,4,5,2,1]=>[3,2]
[4,-3,1,5,-2]=>[4,3,1,5,2]=>[3,4,5,2,1]=>[3,2]
[4,-3,1,-5,2]=>[4,3,1,5,2]=>[3,4,5,2,1]=>[3,2]
[4,-3,1,-5,-2]=>[4,3,1,5,2]=>[3,4,5,2,1]=>[3,2]
[4,-3,-1,5,2]=>[4,3,1,5,2]=>[3,4,5,2,1]=>[3,2]
[4,-3,-1,5,-2]=>[4,3,1,5,2]=>[3,4,5,2,1]=>[3,2]
[4,-3,-1,-5,2]=>[4,3,1,5,2]=>[3,4,5,2,1]=>[3,2]
[4,-3,-1,-5,-2]=>[4,3,1,5,2]=>[3,4,5,2,1]=>[3,2]
[-4,3,1,5,2]=>[4,3,1,5,2]=>[3,4,5,2,1]=>[3,2]
[-4,3,1,5,-2]=>[4,3,1,5,2]=>[3,4,5,2,1]=>[3,2]
[-4,3,1,-5,2]=>[4,3,1,5,2]=>[3,4,5,2,1]=>[3,2]
[-4,3,1,-5,-2]=>[4,3,1,5,2]=>[3,4,5,2,1]=>[3,2]
[-4,3,-1,5,2]=>[4,3,1,5,2]=>[3,4,5,2,1]=>[3,2]
[-4,3,-1,5,-2]=>[4,3,1,5,2]=>[3,4,5,2,1]=>[3,2]
[-4,3,-1,-5,2]=>[4,3,1,5,2]=>[3,4,5,2,1]=>[3,2]
[-4,3,-1,-5,-2]=>[4,3,1,5,2]=>[3,4,5,2,1]=>[3,2]
[-4,-3,1,5,2]=>[4,3,1,5,2]=>[3,4,5,2,1]=>[3,2]
[-4,-3,1,5,-2]=>[4,3,1,5,2]=>[3,4,5,2,1]=>[3,2]
[-4,-3,1,-5,2]=>[4,3,1,5,2]=>[3,4,5,2,1]=>[3,2]
[-4,-3,1,-5,-2]=>[4,3,1,5,2]=>[3,4,5,2,1]=>[3,2]
[-4,-3,-1,5,2]=>[4,3,1,5,2]=>[3,4,5,2,1]=>[3,2]
[-4,-3,-1,5,-2]=>[4,3,1,5,2]=>[3,4,5,2,1]=>[3,2]
[-4,-3,-1,-5,2]=>[4,3,1,5,2]=>[3,4,5,2,1]=>[3,2]
[-4,-3,-1,-5,-2]=>[4,3,1,5,2]=>[3,4,5,2,1]=>[3,2]
[4,3,2,1,5]=>[4,3,2,1,5]=>[2,3,4,1,5]=>[4,1]
[4,3,2,1,-5]=>[4,3,2,1,5]=>[2,3,4,1,5]=>[4,1]
[4,3,2,-1,5]=>[4,3,2,1,5]=>[2,3,4,1,5]=>[4,1]
[4,3,2,-1,-5]=>[4,3,2,1,5]=>[2,3,4,1,5]=>[4,1]
[4,3,-2,1,5]=>[4,3,2,1,5]=>[2,3,4,1,5]=>[4,1]
[4,3,-2,1,-5]=>[4,3,2,1,5]=>[2,3,4,1,5]=>[4,1]
[4,3,-2,-1,5]=>[4,3,2,1,5]=>[2,3,4,1,5]=>[4,1]
[4,3,-2,-1,-5]=>[4,3,2,1,5]=>[2,3,4,1,5]=>[4,1]
[4,-3,2,1,5]=>[4,3,2,1,5]=>[2,3,4,1,5]=>[4,1]
[4,-3,2,1,-5]=>[4,3,2,1,5]=>[2,3,4,1,5]=>[4,1]
[4,-3,2,-1,5]=>[4,3,2,1,5]=>[2,3,4,1,5]=>[4,1]
[4,-3,2,-1,-5]=>[4,3,2,1,5]=>[2,3,4,1,5]=>[4,1]
[4,-3,-2,1,5]=>[4,3,2,1,5]=>[2,3,4,1,5]=>[4,1]
[4,-3,-2,1,-5]=>[4,3,2,1,5]=>[2,3,4,1,5]=>[4,1]
[4,-3,-2,-1,5]=>[4,3,2,1,5]=>[2,3,4,1,5]=>[4,1]
[4,-3,-2,-1,-5]=>[4,3,2,1,5]=>[2,3,4,1,5]=>[4,1]
[-4,3,2,1,5]=>[4,3,2,1,5]=>[2,3,4,1,5]=>[4,1]
[-4,3,2,1,-5]=>[4,3,2,1,5]=>[2,3,4,1,5]=>[4,1]
[-4,3,2,-1,5]=>[4,3,2,1,5]=>[2,3,4,1,5]=>[4,1]
[-4,3,2,-1,-5]=>[4,3,2,1,5]=>[2,3,4,1,5]=>[4,1]
[-4,3,-2,1,5]=>[4,3,2,1,5]=>[2,3,4,1,5]=>[4,1]
[-4,3,-2,1,-5]=>[4,3,2,1,5]=>[2,3,4,1,5]=>[4,1]
[-4,3,-2,-1,5]=>[4,3,2,1,5]=>[2,3,4,1,5]=>[4,1]
[-4,3,-2,-1,-5]=>[4,3,2,1,5]=>[2,3,4,1,5]=>[4,1]
[-4,-3,2,1,5]=>[4,3,2,1,5]=>[2,3,4,1,5]=>[4,1]
[-4,-3,2,1,-5]=>[4,3,2,1,5]=>[2,3,4,1,5]=>[4,1]
[-4,-3,2,-1,5]=>[4,3,2,1,5]=>[2,3,4,1,5]=>[4,1]
[-4,-3,2,-1,-5]=>[4,3,2,1,5]=>[2,3,4,1,5]=>[4,1]
[-4,-3,-2,1,5]=>[4,3,2,1,5]=>[2,3,4,1,5]=>[4,1]
[-4,-3,-2,1,-5]=>[4,3,2,1,5]=>[2,3,4,1,5]=>[4,1]
[-4,-3,-2,-1,5]=>[4,3,2,1,5]=>[2,3,4,1,5]=>[4,1]
[-4,-3,-2,-1,-5]=>[4,3,2,1,5]=>[2,3,4,1,5]=>[4,1]
[4,3,2,5,1]=>[4,3,2,5,1]=>[5,3,4,2,1]=>[3,2]
[4,3,2,5,-1]=>[4,3,2,5,1]=>[5,3,4,2,1]=>[3,2]
[4,3,2,-5,1]=>[4,3,2,5,1]=>[5,3,4,2,1]=>[3,2]
[4,3,2,-5,-1]=>[4,3,2,5,1]=>[5,3,4,2,1]=>[3,2]
[4,3,-2,5,1]=>[4,3,2,5,1]=>[5,3,4,2,1]=>[3,2]
[4,3,-2,5,-1]=>[4,3,2,5,1]=>[5,3,4,2,1]=>[3,2]
[4,3,-2,-5,1]=>[4,3,2,5,1]=>[5,3,4,2,1]=>[3,2]
[4,3,-2,-5,-1]=>[4,3,2,5,1]=>[5,3,4,2,1]=>[3,2]
[4,-3,2,5,1]=>[4,3,2,5,1]=>[5,3,4,2,1]=>[3,2]
[4,-3,2,5,-1]=>[4,3,2,5,1]=>[5,3,4,2,1]=>[3,2]
[4,-3,2,-5,1]=>[4,3,2,5,1]=>[5,3,4,2,1]=>[3,2]
[4,-3,2,-5,-1]=>[4,3,2,5,1]=>[5,3,4,2,1]=>[3,2]
[4,-3,-2,5,1]=>[4,3,2,5,1]=>[5,3,4,2,1]=>[3,2]
[4,-3,-2,5,-1]=>[4,3,2,5,1]=>[5,3,4,2,1]=>[3,2]
[4,-3,-2,-5,1]=>[4,3,2,5,1]=>[5,3,4,2,1]=>[3,2]
[4,-3,-2,-5,-1]=>[4,3,2,5,1]=>[5,3,4,2,1]=>[3,2]
[-4,3,2,5,1]=>[4,3,2,5,1]=>[5,3,4,2,1]=>[3,2]
[-4,3,2,5,-1]=>[4,3,2,5,1]=>[5,3,4,2,1]=>[3,2]
[-4,3,2,-5,1]=>[4,3,2,5,1]=>[5,3,4,2,1]=>[3,2]
[-4,3,2,-5,-1]=>[4,3,2,5,1]=>[5,3,4,2,1]=>[3,2]
[-4,3,-2,5,1]=>[4,3,2,5,1]=>[5,3,4,2,1]=>[3,2]
[-4,3,-2,5,-1]=>[4,3,2,5,1]=>[5,3,4,2,1]=>[3,2]
[-4,3,-2,-5,1]=>[4,3,2,5,1]=>[5,3,4,2,1]=>[3,2]
[-4,3,-2,-5,-1]=>[4,3,2,5,1]=>[5,3,4,2,1]=>[3,2]
[-4,-3,2,5,1]=>[4,3,2,5,1]=>[5,3,4,2,1]=>[3,2]
[-4,-3,2,5,-1]=>[4,3,2,5,1]=>[5,3,4,2,1]=>[3,2]
[-4,-3,2,-5,1]=>[4,3,2,5,1]=>[5,3,4,2,1]=>[3,2]
[-4,-3,2,-5,-1]=>[4,3,2,5,1]=>[5,3,4,2,1]=>[3,2]
[-4,-3,-2,5,1]=>[4,3,2,5,1]=>[5,3,4,2,1]=>[3,2]
[-4,-3,-2,5,-1]=>[4,3,2,5,1]=>[5,3,4,2,1]=>[3,2]
[-4,-3,-2,-5,1]=>[4,3,2,5,1]=>[5,3,4,2,1]=>[3,2]
[-4,-3,-2,-5,-1]=>[4,3,2,5,1]=>[5,3,4,2,1]=>[3,2]
[4,3,5,1,2]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[3,2]
[4,3,5,1,-2]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[3,2]
[4,3,5,-1,2]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[3,2]
[4,3,5,-1,-2]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[3,2]
[4,3,-5,1,2]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[3,2]
[4,3,-5,1,-2]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[3,2]
[4,3,-5,-1,2]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[3,2]
[4,3,-5,-1,-2]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[3,2]
[4,-3,5,1,2]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[3,2]
[4,-3,5,1,-2]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[3,2]
[4,-3,5,-1,2]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[3,2]
[4,-3,5,-1,-2]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[3,2]
[4,-3,-5,1,2]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[3,2]
[4,-3,-5,1,-2]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[3,2]
[4,-3,-5,-1,2]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[3,2]
[4,-3,-5,-1,-2]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[3,2]
[-4,3,5,1,2]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[3,2]
[-4,3,5,1,-2]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[3,2]
[-4,3,5,-1,2]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[3,2]
[-4,3,5,-1,-2]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[3,2]
[-4,3,-5,1,2]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[3,2]
[-4,3,-5,1,-2]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[3,2]
[-4,3,-5,-1,2]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[3,2]
[-4,3,-5,-1,-2]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[3,2]
[-4,-3,5,1,2]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[3,2]
[-4,-3,5,1,-2]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[3,2]
[-4,-3,5,-1,2]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[3,2]
[-4,-3,5,-1,-2]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[3,2]
[-4,-3,-5,1,2]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[3,2]
[-4,-3,-5,1,-2]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[3,2]
[-4,-3,-5,-1,2]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[3,2]
[-4,-3,-5,-1,-2]=>[4,3,5,1,2]=>[5,1,4,3,2]=>[3,2]
[4,3,5,2,1]=>[4,3,5,2,1]=>[2,5,4,3,1]=>[3,2]
[4,3,5,2,-1]=>[4,3,5,2,1]=>[2,5,4,3,1]=>[3,2]
[4,3,5,-2,1]=>[4,3,5,2,1]=>[2,5,4,3,1]=>[3,2]
[4,3,5,-2,-1]=>[4,3,5,2,1]=>[2,5,4,3,1]=>[3,2]
[4,3,-5,2,1]=>[4,3,5,2,1]=>[2,5,4,3,1]=>[3,2]
[4,3,-5,2,-1]=>[4,3,5,2,1]=>[2,5,4,3,1]=>[3,2]
[4,3,-5,-2,1]=>[4,3,5,2,1]=>[2,5,4,3,1]=>[3,2]
[4,3,-5,-2,-1]=>[4,3,5,2,1]=>[2,5,4,3,1]=>[3,2]
[4,-3,5,2,1]=>[4,3,5,2,1]=>[2,5,4,3,1]=>[3,2]
[4,-3,5,2,-1]=>[4,3,5,2,1]=>[2,5,4,3,1]=>[3,2]
[4,-3,5,-2,1]=>[4,3,5,2,1]=>[2,5,4,3,1]=>[3,2]
[4,-3,5,-2,-1]=>[4,3,5,2,1]=>[2,5,4,3,1]=>[3,2]
[4,-3,-5,2,1]=>[4,3,5,2,1]=>[2,5,4,3,1]=>[3,2]
[4,-3,-5,2,-1]=>[4,3,5,2,1]=>[2,5,4,3,1]=>[3,2]
[4,-3,-5,-2,1]=>[4,3,5,2,1]=>[2,5,4,3,1]=>[3,2]
[4,-3,-5,-2,-1]=>[4,3,5,2,1]=>[2,5,4,3,1]=>[3,2]
[-4,3,5,2,1]=>[4,3,5,2,1]=>[2,5,4,3,1]=>[3,2]
[-4,3,5,2,-1]=>[4,3,5,2,1]=>[2,5,4,3,1]=>[3,2]
[-4,3,5,-2,1]=>[4,3,5,2,1]=>[2,5,4,3,1]=>[3,2]
[-4,3,5,-2,-1]=>[4,3,5,2,1]=>[2,5,4,3,1]=>[3,2]
[-4,3,-5,2,1]=>[4,3,5,2,1]=>[2,5,4,3,1]=>[3,2]
[-4,3,-5,2,-1]=>[4,3,5,2,1]=>[2,5,4,3,1]=>[3,2]
[-4,3,-5,-2,1]=>[4,3,5,2,1]=>[2,5,4,3,1]=>[3,2]
[-4,3,-5,-2,-1]=>[4,3,5,2,1]=>[2,5,4,3,1]=>[3,2]
[-4,-3,5,2,1]=>[4,3,5,2,1]=>[2,5,4,3,1]=>[3,2]
[-4,-3,5,2,-1]=>[4,3,5,2,1]=>[2,5,4,3,1]=>[3,2]
[-4,-3,5,-2,1]=>[4,3,5,2,1]=>[2,5,4,3,1]=>[3,2]
[-4,-3,5,-2,-1]=>[4,3,5,2,1]=>[2,5,4,3,1]=>[3,2]
[-4,-3,-5,2,1]=>[4,3,5,2,1]=>[2,5,4,3,1]=>[3,2]
[-4,-3,-5,2,-1]=>[4,3,5,2,1]=>[2,5,4,3,1]=>[3,2]
[-4,-3,-5,-2,1]=>[4,3,5,2,1]=>[2,5,4,3,1]=>[3,2]
[-4,-3,-5,-2,-1]=>[4,3,5,2,1]=>[2,5,4,3,1]=>[3,2]
[4,5,1,2,3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[4,1]
[4,5,1,2,-3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[4,1]
[4,5,1,-2,3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[4,1]
[4,5,1,-2,-3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[4,1]
[4,5,-1,2,3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[4,1]
[4,5,-1,2,-3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[4,1]
[4,5,-1,-2,3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[4,1]
[4,5,-1,-2,-3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[4,1]
[4,-5,1,2,3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[4,1]
[4,-5,1,2,-3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[4,1]
[4,-5,1,-2,3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[4,1]
[4,-5,1,-2,-3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[4,1]
[4,-5,-1,2,3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[4,1]
[4,-5,-1,2,-3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[4,1]
[4,-5,-1,-2,3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[4,1]
[4,-5,-1,-2,-3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[4,1]
[-4,5,1,2,3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[4,1]
[-4,5,1,2,-3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[4,1]
[-4,5,1,-2,3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[4,1]
[-4,5,1,-2,-3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[4,1]
[-4,5,-1,2,3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[4,1]
[-4,5,-1,2,-3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[4,1]
[-4,5,-1,-2,3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[4,1]
[-4,5,-1,-2,-3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[4,1]
[-4,-5,1,2,3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[4,1]
[-4,-5,1,2,-3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[4,1]
[-4,-5,1,-2,3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[4,1]
[-4,-5,1,-2,-3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[4,1]
[-4,-5,-1,2,3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[4,1]
[-4,-5,-1,2,-3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[4,1]
[-4,-5,-1,-2,3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[4,1]
[-4,-5,-1,-2,-3]=>[4,5,1,2,3]=>[5,1,2,4,3]=>[4,1]
[4,5,1,3,2]=>[4,5,1,3,2]=>[5,3,1,4,2]=>[4,1]
[4,5,1,3,-2]=>[4,5,1,3,2]=>[5,3,1,4,2]=>[4,1]
[4,5,1,-3,2]=>[4,5,1,3,2]=>[5,3,1,4,2]=>[4,1]
[4,5,1,-3,-2]=>[4,5,1,3,2]=>[5,3,1,4,2]=>[4,1]
[4,5,-1,3,2]=>[4,5,1,3,2]=>[5,3,1,4,2]=>[4,1]
[4,5,-1,3,-2]=>[4,5,1,3,2]=>[5,3,1,4,2]=>[4,1]
[4,5,-1,-3,2]=>[4,5,1,3,2]=>[5,3,1,4,2]=>[4,1]
[4,5,-1,-3,-2]=>[4,5,1,3,2]=>[5,3,1,4,2]=>[4,1]
[4,-5,1,3,2]=>[4,5,1,3,2]=>[5,3,1,4,2]=>[4,1]
[4,-5,1,3,-2]=>[4,5,1,3,2]=>[5,3,1,4,2]=>[4,1]
[4,-5,1,-3,2]=>[4,5,1,3,2]=>[5,3,1,4,2]=>[4,1]
[4,-5,1,-3,-2]=>[4,5,1,3,2]=>[5,3,1,4,2]=>[4,1]
[4,-5,-1,3,2]=>[4,5,1,3,2]=>[5,3,1,4,2]=>[4,1]
[4,-5,-1,3,-2]=>[4,5,1,3,2]=>[5,3,1,4,2]=>[4,1]
[4,-5,-1,-3,2]=>[4,5,1,3,2]=>[5,3,1,4,2]=>[4,1]
[4,-5,-1,-3,-2]=>[4,5,1,3,2]=>[5,3,1,4,2]=>[4,1]
[-4,5,1,3,2]=>[4,5,1,3,2]=>[5,3,1,4,2]=>[4,1]
[-4,5,1,3,-2]=>[4,5,1,3,2]=>[5,3,1,4,2]=>[4,1]
[-4,5,1,-3,2]=>[4,5,1,3,2]=>[5,3,1,4,2]=>[4,1]
[-4,5,1,-3,-2]=>[4,5,1,3,2]=>[5,3,1,4,2]=>[4,1]
[-4,5,-1,3,2]=>[4,5,1,3,2]=>[5,3,1,4,2]=>[4,1]
[-4,5,-1,3,-2]=>[4,5,1,3,2]=>[5,3,1,4,2]=>[4,1]
[-4,5,-1,-3,2]=>[4,5,1,3,2]=>[5,3,1,4,2]=>[4,1]
[-4,5,-1,-3,-2]=>[4,5,1,3,2]=>[5,3,1,4,2]=>[4,1]
[-4,-5,1,3,2]=>[4,5,1,3,2]=>[5,3,1,4,2]=>[4,1]
[-4,-5,1,3,-2]=>[4,5,1,3,2]=>[5,3,1,4,2]=>[4,1]
[-4,-5,1,-3,2]=>[4,5,1,3,2]=>[5,3,1,4,2]=>[4,1]
[-4,-5,1,-3,-2]=>[4,5,1,3,2]=>[5,3,1,4,2]=>[4,1]
[-4,-5,-1,3,2]=>[4,5,1,3,2]=>[5,3,1,4,2]=>[4,1]
[-4,-5,-1,3,-2]=>[4,5,1,3,2]=>[5,3,1,4,2]=>[4,1]
[-4,-5,-1,-3,2]=>[4,5,1,3,2]=>[5,3,1,4,2]=>[4,1]
[-4,-5,-1,-3,-2]=>[4,5,1,3,2]=>[5,3,1,4,2]=>[4,1]
[4,5,2,1,3]=>[4,5,2,1,3]=>[2,5,1,4,3]=>[4,1]
[4,5,2,1,-3]=>[4,5,2,1,3]=>[2,5,1,4,3]=>[4,1]
[4,5,2,-1,3]=>[4,5,2,1,3]=>[2,5,1,4,3]=>[4,1]
[4,5,2,-1,-3]=>[4,5,2,1,3]=>[2,5,1,4,3]=>[4,1]
[4,5,-2,1,3]=>[4,5,2,1,3]=>[2,5,1,4,3]=>[4,1]
[4,5,-2,1,-3]=>[4,5,2,1,3]=>[2,5,1,4,3]=>[4,1]
[4,5,-2,-1,3]=>[4,5,2,1,3]=>[2,5,1,4,3]=>[4,1]
[4,5,-2,-1,-3]=>[4,5,2,1,3]=>[2,5,1,4,3]=>[4,1]
[4,-5,2,1,3]=>[4,5,2,1,3]=>[2,5,1,4,3]=>[4,1]
[4,-5,2,1,-3]=>[4,5,2,1,3]=>[2,5,1,4,3]=>[4,1]
[4,-5,2,-1,3]=>[4,5,2,1,3]=>[2,5,1,4,3]=>[4,1]
[4,-5,2,-1,-3]=>[4,5,2,1,3]=>[2,5,1,4,3]=>[4,1]
[4,-5,-2,1,3]=>[4,5,2,1,3]=>[2,5,1,4,3]=>[4,1]
[4,-5,-2,1,-3]=>[4,5,2,1,3]=>[2,5,1,4,3]=>[4,1]
[4,-5,-2,-1,3]=>[4,5,2,1,3]=>[2,5,1,4,3]=>[4,1]
[4,-5,-2,-1,-3]=>[4,5,2,1,3]=>[2,5,1,4,3]=>[4,1]
[-4,5,2,1,3]=>[4,5,2,1,3]=>[2,5,1,4,3]=>[4,1]
[-4,5,2,1,-3]=>[4,5,2,1,3]=>[2,5,1,4,3]=>[4,1]
[-4,5,2,-1,3]=>[4,5,2,1,3]=>[2,5,1,4,3]=>[4,1]
[-4,5,2,-1,-3]=>[4,5,2,1,3]=>[2,5,1,4,3]=>[4,1]
[-4,5,-2,1,3]=>[4,5,2,1,3]=>[2,5,1,4,3]=>[4,1]
[-4,5,-2,1,-3]=>[4,5,2,1,3]=>[2,5,1,4,3]=>[4,1]
[-4,5,-2,-1,3]=>[4,5,2,1,3]=>[2,5,1,4,3]=>[4,1]
[-4,5,-2,-1,-3]=>[4,5,2,1,3]=>[2,5,1,4,3]=>[4,1]
[-4,-5,2,1,3]=>[4,5,2,1,3]=>[2,5,1,4,3]=>[4,1]
[-4,-5,2,1,-3]=>[4,5,2,1,3]=>[2,5,1,4,3]=>[4,1]
[-4,-5,2,-1,3]=>[4,5,2,1,3]=>[2,5,1,4,3]=>[4,1]
[-4,-5,2,-1,-3]=>[4,5,2,1,3]=>[2,5,1,4,3]=>[4,1]
[-4,-5,-2,1,3]=>[4,5,2,1,3]=>[2,5,1,4,3]=>[4,1]
[-4,-5,-2,1,-3]=>[4,5,2,1,3]=>[2,5,1,4,3]=>[4,1]
[-4,-5,-2,-1,3]=>[4,5,2,1,3]=>[2,5,1,4,3]=>[4,1]
[-4,-5,-2,-1,-3]=>[4,5,2,1,3]=>[2,5,1,4,3]=>[4,1]
[4,5,2,3,1]=>[4,5,2,3,1]=>[3,5,2,4,1]=>[4,1]
[4,5,2,3,-1]=>[4,5,2,3,1]=>[3,5,2,4,1]=>[4,1]
[4,5,2,-3,1]=>[4,5,2,3,1]=>[3,5,2,4,1]=>[4,1]
[4,5,2,-3,-1]=>[4,5,2,3,1]=>[3,5,2,4,1]=>[4,1]
[4,5,-2,3,1]=>[4,5,2,3,1]=>[3,5,2,4,1]=>[4,1]
[4,5,-2,3,-1]=>[4,5,2,3,1]=>[3,5,2,4,1]=>[4,1]
[4,5,-2,-3,1]=>[4,5,2,3,1]=>[3,5,2,4,1]=>[4,1]
[4,5,-2,-3,-1]=>[4,5,2,3,1]=>[3,5,2,4,1]=>[4,1]
[4,-5,2,3,1]=>[4,5,2,3,1]=>[3,5,2,4,1]=>[4,1]
[4,-5,2,3,-1]=>[4,5,2,3,1]=>[3,5,2,4,1]=>[4,1]
[4,-5,2,-3,1]=>[4,5,2,3,1]=>[3,5,2,4,1]=>[4,1]
[4,-5,2,-3,-1]=>[4,5,2,3,1]=>[3,5,2,4,1]=>[4,1]
[4,-5,-2,3,1]=>[4,5,2,3,1]=>[3,5,2,4,1]=>[4,1]
[4,-5,-2,3,-1]=>[4,5,2,3,1]=>[3,5,2,4,1]=>[4,1]
[4,-5,-2,-3,1]=>[4,5,2,3,1]=>[3,5,2,4,1]=>[4,1]
[4,-5,-2,-3,-1]=>[4,5,2,3,1]=>[3,5,2,4,1]=>[4,1]
[-4,5,2,3,1]=>[4,5,2,3,1]=>[3,5,2,4,1]=>[4,1]
[-4,5,2,3,-1]=>[4,5,2,3,1]=>[3,5,2,4,1]=>[4,1]
[-4,5,2,-3,1]=>[4,5,2,3,1]=>[3,5,2,4,1]=>[4,1]
[-4,5,2,-3,-1]=>[4,5,2,3,1]=>[3,5,2,4,1]=>[4,1]
[-4,5,-2,3,1]=>[4,5,2,3,1]=>[3,5,2,4,1]=>[4,1]
[-4,5,-2,3,-1]=>[4,5,2,3,1]=>[3,5,2,4,1]=>[4,1]
[-4,5,-2,-3,1]=>[4,5,2,3,1]=>[3,5,2,4,1]=>[4,1]
[-4,5,-2,-3,-1]=>[4,5,2,3,1]=>[3,5,2,4,1]=>[4,1]
[-4,-5,2,3,1]=>[4,5,2,3,1]=>[3,5,2,4,1]=>[4,1]
[-4,-5,2,3,-1]=>[4,5,2,3,1]=>[3,5,2,4,1]=>[4,1]
[-4,-5,2,-3,1]=>[4,5,2,3,1]=>[3,5,2,4,1]=>[4,1]
[-4,-5,2,-3,-1]=>[4,5,2,3,1]=>[3,5,2,4,1]=>[4,1]
[-4,-5,-2,3,1]=>[4,5,2,3,1]=>[3,5,2,4,1]=>[4,1]
[-4,-5,-2,3,-1]=>[4,5,2,3,1]=>[3,5,2,4,1]=>[4,1]
[-4,-5,-2,-3,1]=>[4,5,2,3,1]=>[3,5,2,4,1]=>[4,1]
[-4,-5,-2,-3,-1]=>[4,5,2,3,1]=>[3,5,2,4,1]=>[4,1]
[4,5,3,1,2]=>[4,5,3,1,2]=>[3,1,5,4,2]=>[4,1]
[4,5,3,1,-2]=>[4,5,3,1,2]=>[3,1,5,4,2]=>[4,1]
[4,5,3,-1,2]=>[4,5,3,1,2]=>[3,1,5,4,2]=>[4,1]
[4,5,3,-1,-2]=>[4,5,3,1,2]=>[3,1,5,4,2]=>[4,1]
[4,5,-3,1,2]=>[4,5,3,1,2]=>[3,1,5,4,2]=>[4,1]
[4,5,-3,1,-2]=>[4,5,3,1,2]=>[3,1,5,4,2]=>[4,1]
[4,5,-3,-1,2]=>[4,5,3,1,2]=>[3,1,5,4,2]=>[4,1]
[4,5,-3,-1,-2]=>[4,5,3,1,2]=>[3,1,5,4,2]=>[4,1]
[4,-5,3,1,2]=>[4,5,3,1,2]=>[3,1,5,4,2]=>[4,1]
[4,-5,3,1,-2]=>[4,5,3,1,2]=>[3,1,5,4,2]=>[4,1]
[4,-5,3,-1,2]=>[4,5,3,1,2]=>[3,1,5,4,2]=>[4,1]
[4,-5,3,-1,-2]=>[4,5,3,1,2]=>[3,1,5,4,2]=>[4,1]
[4,-5,-3,1,2]=>[4,5,3,1,2]=>[3,1,5,4,2]=>[4,1]
[4,-5,-3,1,-2]=>[4,5,3,1,2]=>[3,1,5,4,2]=>[4,1]
[4,-5,-3,-1,2]=>[4,5,3,1,2]=>[3,1,5,4,2]=>[4,1]
[4,-5,-3,-1,-2]=>[4,5,3,1,2]=>[3,1,5,4,2]=>[4,1]
[-4,5,3,1,2]=>[4,5,3,1,2]=>[3,1,5,4,2]=>[4,1]
[-4,5,3,1,-2]=>[4,5,3,1,2]=>[3,1,5,4,2]=>[4,1]
[-4,5,3,-1,2]=>[4,5,3,1,2]=>[3,1,5,4,2]=>[4,1]
[-4,5,3,-1,-2]=>[4,5,3,1,2]=>[3,1,5,4,2]=>[4,1]
[-4,5,-3,1,2]=>[4,5,3,1,2]=>[3,1,5,4,2]=>[4,1]
[-4,5,-3,1,-2]=>[4,5,3,1,2]=>[3,1,5,4,2]=>[4,1]
[-4,5,-3,-1,2]=>[4,5,3,1,2]=>[3,1,5,4,2]=>[4,1]
[-4,5,-3,-1,-2]=>[4,5,3,1,2]=>[3,1,5,4,2]=>[4,1]
[-4,-5,3,1,2]=>[4,5,3,1,2]=>[3,1,5,4,2]=>[4,1]
[-4,-5,3,1,-2]=>[4,5,3,1,2]=>[3,1,5,4,2]=>[4,1]
[-4,-5,3,-1,2]=>[4,5,3,1,2]=>[3,1,5,4,2]=>[4,1]
[-4,-5,3,-1,-2]=>[4,5,3,1,2]=>[3,1,5,4,2]=>[4,1]
[-4,-5,-3,1,2]=>[4,5,3,1,2]=>[3,1,5,4,2]=>[4,1]
[-4,-5,-3,1,-2]=>[4,5,3,1,2]=>[3,1,5,4,2]=>[4,1]
[-4,-5,-3,-1,2]=>[4,5,3,1,2]=>[3,1,5,4,2]=>[4,1]
[-4,-5,-3,-1,-2]=>[4,5,3,1,2]=>[3,1,5,4,2]=>[4,1]
[4,5,3,2,1]=>[4,5,3,2,1]=>[2,3,5,4,1]=>[4,1]
[4,5,3,2,-1]=>[4,5,3,2,1]=>[2,3,5,4,1]=>[4,1]
[4,5,3,-2,1]=>[4,5,3,2,1]=>[2,3,5,4,1]=>[4,1]
[4,5,3,-2,-1]=>[4,5,3,2,1]=>[2,3,5,4,1]=>[4,1]
[4,5,-3,2,1]=>[4,5,3,2,1]=>[2,3,5,4,1]=>[4,1]
[4,5,-3,2,-1]=>[4,5,3,2,1]=>[2,3,5,4,1]=>[4,1]
[4,5,-3,-2,1]=>[4,5,3,2,1]=>[2,3,5,4,1]=>[4,1]
[4,5,-3,-2,-1]=>[4,5,3,2,1]=>[2,3,5,4,1]=>[4,1]
[4,-5,3,2,1]=>[4,5,3,2,1]=>[2,3,5,4,1]=>[4,1]
[4,-5,3,2,-1]=>[4,5,3,2,1]=>[2,3,5,4,1]=>[4,1]
[4,-5,3,-2,1]=>[4,5,3,2,1]=>[2,3,5,4,1]=>[4,1]
[4,-5,3,-2,-1]=>[4,5,3,2,1]=>[2,3,5,4,1]=>[4,1]
[4,-5,-3,2,1]=>[4,5,3,2,1]=>[2,3,5,4,1]=>[4,1]
[4,-5,-3,2,-1]=>[4,5,3,2,1]=>[2,3,5,4,1]=>[4,1]
[4,-5,-3,-2,1]=>[4,5,3,2,1]=>[2,3,5,4,1]=>[4,1]
[4,-5,-3,-2,-1]=>[4,5,3,2,1]=>[2,3,5,4,1]=>[4,1]
[-4,5,3,2,1]=>[4,5,3,2,1]=>[2,3,5,4,1]=>[4,1]
[-4,5,3,2,-1]=>[4,5,3,2,1]=>[2,3,5,4,1]=>[4,1]
[-4,5,3,-2,1]=>[4,5,3,2,1]=>[2,3,5,4,1]=>[4,1]
[-4,5,3,-2,-1]=>[4,5,3,2,1]=>[2,3,5,4,1]=>[4,1]
[-4,5,-3,2,1]=>[4,5,3,2,1]=>[2,3,5,4,1]=>[4,1]
[-4,5,-3,2,-1]=>[4,5,3,2,1]=>[2,3,5,4,1]=>[4,1]
[-4,5,-3,-2,1]=>[4,5,3,2,1]=>[2,3,5,4,1]=>[4,1]
[-4,5,-3,-2,-1]=>[4,5,3,2,1]=>[2,3,5,4,1]=>[4,1]
[-4,-5,3,2,1]=>[4,5,3,2,1]=>[2,3,5,4,1]=>[4,1]
[-4,-5,3,2,-1]=>[4,5,3,2,1]=>[2,3,5,4,1]=>[4,1]
[-4,-5,3,-2,1]=>[4,5,3,2,1]=>[2,3,5,4,1]=>[4,1]
[-4,-5,3,-2,-1]=>[4,5,3,2,1]=>[2,3,5,4,1]=>[4,1]
[-4,-5,-3,2,1]=>[4,5,3,2,1]=>[2,3,5,4,1]=>[4,1]
[-4,-5,-3,2,-1]=>[4,5,3,2,1]=>[2,3,5,4,1]=>[4,1]
[-4,-5,-3,-2,1]=>[4,5,3,2,1]=>[2,3,5,4,1]=>[4,1]
[-4,-5,-3,-2,-1]=>[4,5,3,2,1]=>[2,3,5,4,1]=>[4,1]
[5,1,2,3,4]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[5]
[5,1,2,3,-4]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[5]
[5,1,2,-3,4]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[5]
[5,1,2,-3,-4]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[5]
[5,1,-2,3,4]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[5]
[5,1,-2,3,-4]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[5]
[5,1,-2,-3,4]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[5]
[5,1,-2,-3,-4]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[5]
[5,-1,2,3,4]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[5]
[5,-1,2,3,-4]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[5]
[5,-1,2,-3,4]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[5]
[5,-1,2,-3,-4]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[5]
[5,-1,-2,3,4]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[5]
[5,-1,-2,3,-4]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[5]
[5,-1,-2,-3,4]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[5]
[5,-1,-2,-3,-4]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[5]
[-5,1,2,3,4]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[5]
[-5,1,2,3,-4]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[5]
[-5,1,2,-3,4]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[5]
[-5,1,2,-3,-4]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[5]
[-5,1,-2,3,4]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[5]
[-5,1,-2,3,-4]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[5]
[-5,1,-2,-3,4]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[5]
[-5,1,-2,-3,-4]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[5]
[-5,-1,2,3,4]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[5]
[-5,-1,2,3,-4]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[5]
[-5,-1,2,-3,4]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[5]
[-5,-1,2,-3,-4]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[5]
[-5,-1,-2,3,4]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[5]
[-5,-1,-2,3,-4]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[5]
[-5,-1,-2,-3,4]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[5]
[-5,-1,-2,-3,-4]=>[5,1,2,3,4]=>[5,1,2,3,4]=>[5]
[5,1,2,4,3]=>[5,1,2,4,3]=>[5,1,4,2,3]=>[5]
[5,1,2,4,-3]=>[5,1,2,4,3]=>[5,1,4,2,3]=>[5]
[5,1,2,-4,3]=>[5,1,2,4,3]=>[5,1,4,2,3]=>[5]
[5,1,2,-4,-3]=>[5,1,2,4,3]=>[5,1,4,2,3]=>[5]
[5,1,-2,4,3]=>[5,1,2,4,3]=>[5,1,4,2,3]=>[5]
[5,1,-2,4,-3]=>[5,1,2,4,3]=>[5,1,4,2,3]=>[5]
[5,1,-2,-4,3]=>[5,1,2,4,3]=>[5,1,4,2,3]=>[5]
[5,1,-2,-4,-3]=>[5,1,2,4,3]=>[5,1,4,2,3]=>[5]
[5,-1,2,4,3]=>[5,1,2,4,3]=>[5,1,4,2,3]=>[5]
[5,-1,2,4,-3]=>[5,1,2,4,3]=>[5,1,4,2,3]=>[5]
[5,-1,2,-4,3]=>[5,1,2,4,3]=>[5,1,4,2,3]=>[5]
[5,-1,2,-4,-3]=>[5,1,2,4,3]=>[5,1,4,2,3]=>[5]
[5,-1,-2,4,3]=>[5,1,2,4,3]=>[5,1,4,2,3]=>[5]
[5,-1,-2,4,-3]=>[5,1,2,4,3]=>[5,1,4,2,3]=>[5]
[5,-1,-2,-4,3]=>[5,1,2,4,3]=>[5,1,4,2,3]=>[5]
[5,-1,-2,-4,-3]=>[5,1,2,4,3]=>[5,1,4,2,3]=>[5]
[-5,1,2,4,3]=>[5,1,2,4,3]=>[5,1,4,2,3]=>[5]
[-5,1,2,4,-3]=>[5,1,2,4,3]=>[5,1,4,2,3]=>[5]
[-5,1,2,-4,3]=>[5,1,2,4,3]=>[5,1,4,2,3]=>[5]
[-5,1,2,-4,-3]=>[5,1,2,4,3]=>[5,1,4,2,3]=>[5]
[-5,1,-2,4,3]=>[5,1,2,4,3]=>[5,1,4,2,3]=>[5]
[-5,1,-2,4,-3]=>[5,1,2,4,3]=>[5,1,4,2,3]=>[5]
[-5,1,-2,-4,3]=>[5,1,2,4,3]=>[5,1,4,2,3]=>[5]
[-5,1,-2,-4,-3]=>[5,1,2,4,3]=>[5,1,4,2,3]=>[5]
[-5,-1,2,4,3]=>[5,1,2,4,3]=>[5,1,4,2,3]=>[5]
[-5,-1,2,4,-3]=>[5,1,2,4,3]=>[5,1,4,2,3]=>[5]
[-5,-1,2,-4,3]=>[5,1,2,4,3]=>[5,1,4,2,3]=>[5]
[-5,-1,2,-4,-3]=>[5,1,2,4,3]=>[5,1,4,2,3]=>[5]
[-5,-1,-2,4,3]=>[5,1,2,4,3]=>[5,1,4,2,3]=>[5]
[-5,-1,-2,4,-3]=>[5,1,2,4,3]=>[5,1,4,2,3]=>[5]
[-5,-1,-2,-4,3]=>[5,1,2,4,3]=>[5,1,4,2,3]=>[5]
[-5,-1,-2,-4,-3]=>[5,1,2,4,3]=>[5,1,4,2,3]=>[5]
[5,1,3,2,4]=>[5,1,3,2,4]=>[5,3,1,2,4]=>[5]
[5,1,3,2,-4]=>[5,1,3,2,4]=>[5,3,1,2,4]=>[5]
[5,1,3,-2,4]=>[5,1,3,2,4]=>[5,3,1,2,4]=>[5]
[5,1,3,-2,-4]=>[5,1,3,2,4]=>[5,3,1,2,4]=>[5]
[5,1,-3,2,4]=>[5,1,3,2,4]=>[5,3,1,2,4]=>[5]
[5,1,-3,2,-4]=>[5,1,3,2,4]=>[5,3,1,2,4]=>[5]
[5,1,-3,-2,4]=>[5,1,3,2,4]=>[5,3,1,2,4]=>[5]
[5,1,-3,-2,-4]=>[5,1,3,2,4]=>[5,3,1,2,4]=>[5]
[5,-1,3,2,4]=>[5,1,3,2,4]=>[5,3,1,2,4]=>[5]
[5,-1,3,2,-4]=>[5,1,3,2,4]=>[5,3,1,2,4]=>[5]
[5,-1,3,-2,4]=>[5,1,3,2,4]=>[5,3,1,2,4]=>[5]
[5,-1,3,-2,-4]=>[5,1,3,2,4]=>[5,3,1,2,4]=>[5]
[5,-1,-3,2,4]=>[5,1,3,2,4]=>[5,3,1,2,4]=>[5]
[5,-1,-3,2,-4]=>[5,1,3,2,4]=>[5,3,1,2,4]=>[5]
[5,-1,-3,-2,4]=>[5,1,3,2,4]=>[5,3,1,2,4]=>[5]
[5,-1,-3,-2,-4]=>[5,1,3,2,4]=>[5,3,1,2,4]=>[5]
[-5,1,3,2,4]=>[5,1,3,2,4]=>[5,3,1,2,4]=>[5]
[-5,1,3,2,-4]=>[5,1,3,2,4]=>[5,3,1,2,4]=>[5]
[-5,1,3,-2,4]=>[5,1,3,2,4]=>[5,3,1,2,4]=>[5]
[-5,1,3,-2,-4]=>[5,1,3,2,4]=>[5,3,1,2,4]=>[5]
[-5,1,-3,2,4]=>[5,1,3,2,4]=>[5,3,1,2,4]=>[5]
[-5,1,-3,2,-4]=>[5,1,3,2,4]=>[5,3,1,2,4]=>[5]
[-5,1,-3,-2,4]=>[5,1,3,2,4]=>[5,3,1,2,4]=>[5]
[-5,1,-3,-2,-4]=>[5,1,3,2,4]=>[5,3,1,2,4]=>[5]
[-5,-1,3,2,4]=>[5,1,3,2,4]=>[5,3,1,2,4]=>[5]
[-5,-1,3,2,-4]=>[5,1,3,2,4]=>[5,3,1,2,4]=>[5]
[-5,-1,3,-2,4]=>[5,1,3,2,4]=>[5,3,1,2,4]=>[5]
[-5,-1,3,-2,-4]=>[5,1,3,2,4]=>[5,3,1,2,4]=>[5]
[-5,-1,-3,2,4]=>[5,1,3,2,4]=>[5,3,1,2,4]=>[5]
[-5,-1,-3,2,-4]=>[5,1,3,2,4]=>[5,3,1,2,4]=>[5]
[-5,-1,-3,-2,4]=>[5,1,3,2,4]=>[5,3,1,2,4]=>[5]
[-5,-1,-3,-2,-4]=>[5,1,3,2,4]=>[5,3,1,2,4]=>[5]
[5,1,3,4,2]=>[5,1,3,4,2]=>[5,4,1,3,2]=>[5]
[5,1,3,4,-2]=>[5,1,3,4,2]=>[5,4,1,3,2]=>[5]
[5,1,3,-4,2]=>[5,1,3,4,2]=>[5,4,1,3,2]=>[5]
[5,1,3,-4,-2]=>[5,1,3,4,2]=>[5,4,1,3,2]=>[5]
[5,1,-3,4,2]=>[5,1,3,4,2]=>[5,4,1,3,2]=>[5]
[5,1,-3,4,-2]=>[5,1,3,4,2]=>[5,4,1,3,2]=>[5]
[5,1,-3,-4,2]=>[5,1,3,4,2]=>[5,4,1,3,2]=>[5]
[5,1,-3,-4,-2]=>[5,1,3,4,2]=>[5,4,1,3,2]=>[5]
[5,-1,3,4,2]=>[5,1,3,4,2]=>[5,4,1,3,2]=>[5]
[5,-1,3,4,-2]=>[5,1,3,4,2]=>[5,4,1,3,2]=>[5]
[5,-1,3,-4,2]=>[5,1,3,4,2]=>[5,4,1,3,2]=>[5]
[5,-1,3,-4,-2]=>[5,1,3,4,2]=>[5,4,1,3,2]=>[5]
[5,-1,-3,4,2]=>[5,1,3,4,2]=>[5,4,1,3,2]=>[5]
[5,-1,-3,4,-2]=>[5,1,3,4,2]=>[5,4,1,3,2]=>[5]
[5,-1,-3,-4,2]=>[5,1,3,4,2]=>[5,4,1,3,2]=>[5]
[5,-1,-3,-4,-2]=>[5,1,3,4,2]=>[5,4,1,3,2]=>[5]
[-5,1,3,4,2]=>[5,1,3,4,2]=>[5,4,1,3,2]=>[5]
[-5,1,3,4,-2]=>[5,1,3,4,2]=>[5,4,1,3,2]=>[5]
[-5,1,3,-4,2]=>[5,1,3,4,2]=>[5,4,1,3,2]=>[5]
[-5,1,3,-4,-2]=>[5,1,3,4,2]=>[5,4,1,3,2]=>[5]
[-5,1,-3,4,2]=>[5,1,3,4,2]=>[5,4,1,3,2]=>[5]
[-5,1,-3,4,-2]=>[5,1,3,4,2]=>[5,4,1,3,2]=>[5]
[-5,1,-3,-4,2]=>[5,1,3,4,2]=>[5,4,1,3,2]=>[5]
[-5,1,-3,-4,-2]=>[5,1,3,4,2]=>[5,4,1,3,2]=>[5]
[-5,-1,3,4,2]=>[5,1,3,4,2]=>[5,4,1,3,2]=>[5]
[-5,-1,3,4,-2]=>[5,1,3,4,2]=>[5,4,1,3,2]=>[5]
[-5,-1,3,-4,2]=>[5,1,3,4,2]=>[5,4,1,3,2]=>[5]
[-5,-1,3,-4,-2]=>[5,1,3,4,2]=>[5,4,1,3,2]=>[5]
[-5,-1,-3,4,2]=>[5,1,3,4,2]=>[5,4,1,3,2]=>[5]
[-5,-1,-3,4,-2]=>[5,1,3,4,2]=>[5,4,1,3,2]=>[5]
[-5,-1,-3,-4,2]=>[5,1,3,4,2]=>[5,4,1,3,2]=>[5]
[-5,-1,-3,-4,-2]=>[5,1,3,4,2]=>[5,4,1,3,2]=>[5]
[5,1,4,2,3]=>[5,1,4,2,3]=>[5,4,2,1,3]=>[5]
[5,1,4,2,-3]=>[5,1,4,2,3]=>[5,4,2,1,3]=>[5]
[5,1,4,-2,3]=>[5,1,4,2,3]=>[5,4,2,1,3]=>[5]
[5,1,4,-2,-3]=>[5,1,4,2,3]=>[5,4,2,1,3]=>[5]
[5,1,-4,2,3]=>[5,1,4,2,3]=>[5,4,2,1,3]=>[5]
[5,1,-4,2,-3]=>[5,1,4,2,3]=>[5,4,2,1,3]=>[5]
[5,1,-4,-2,3]=>[5,1,4,2,3]=>[5,4,2,1,3]=>[5]
[5,1,-4,-2,-3]=>[5,1,4,2,3]=>[5,4,2,1,3]=>[5]
[5,-1,4,2,3]=>[5,1,4,2,3]=>[5,4,2,1,3]=>[5]
[5,-1,4,2,-3]=>[5,1,4,2,3]=>[5,4,2,1,3]=>[5]
[5,-1,4,-2,3]=>[5,1,4,2,3]=>[5,4,2,1,3]=>[5]
[5,-1,4,-2,-3]=>[5,1,4,2,3]=>[5,4,2,1,3]=>[5]
[5,-1,-4,2,3]=>[5,1,4,2,3]=>[5,4,2,1,3]=>[5]
[5,-1,-4,2,-3]=>[5,1,4,2,3]=>[5,4,2,1,3]=>[5]
[5,-1,-4,-2,3]=>[5,1,4,2,3]=>[5,4,2,1,3]=>[5]
[5,-1,-4,-2,-3]=>[5,1,4,2,3]=>[5,4,2,1,3]=>[5]
[-5,1,4,2,3]=>[5,1,4,2,3]=>[5,4,2,1,3]=>[5]
[-5,1,4,2,-3]=>[5,1,4,2,3]=>[5,4,2,1,3]=>[5]
[-5,1,4,-2,3]=>[5,1,4,2,3]=>[5,4,2,1,3]=>[5]
[-5,1,4,-2,-3]=>[5,1,4,2,3]=>[5,4,2,1,3]=>[5]
[-5,1,-4,2,3]=>[5,1,4,2,3]=>[5,4,2,1,3]=>[5]
[-5,1,-4,2,-3]=>[5,1,4,2,3]=>[5,4,2,1,3]=>[5]
[-5,1,-4,-2,3]=>[5,1,4,2,3]=>[5,4,2,1,3]=>[5]
[-5,1,-4,-2,-3]=>[5,1,4,2,3]=>[5,4,2,1,3]=>[5]
[-5,-1,4,2,3]=>[5,1,4,2,3]=>[5,4,2,1,3]=>[5]
[-5,-1,4,2,-3]=>[5,1,4,2,3]=>[5,4,2,1,3]=>[5]
[-5,-1,4,-2,3]=>[5,1,4,2,3]=>[5,4,2,1,3]=>[5]
[-5,-1,4,-2,-3]=>[5,1,4,2,3]=>[5,4,2,1,3]=>[5]
[-5,-1,-4,2,3]=>[5,1,4,2,3]=>[5,4,2,1,3]=>[5]
[-5,-1,-4,2,-3]=>[5,1,4,2,3]=>[5,4,2,1,3]=>[5]
[-5,-1,-4,-2,3]=>[5,1,4,2,3]=>[5,4,2,1,3]=>[5]
[-5,-1,-4,-2,-3]=>[5,1,4,2,3]=>[5,4,2,1,3]=>[5]
[5,1,4,3,2]=>[5,1,4,3,2]=>[5,3,4,1,2]=>[5]
[5,1,4,3,-2]=>[5,1,4,3,2]=>[5,3,4,1,2]=>[5]
[5,1,4,-3,2]=>[5,1,4,3,2]=>[5,3,4,1,2]=>[5]
[5,1,4,-3,-2]=>[5,1,4,3,2]=>[5,3,4,1,2]=>[5]
[5,1,-4,3,2]=>[5,1,4,3,2]=>[5,3,4,1,2]=>[5]
[5,1,-4,3,-2]=>[5,1,4,3,2]=>[5,3,4,1,2]=>[5]
[5,1,-4,-3,2]=>[5,1,4,3,2]=>[5,3,4,1,2]=>[5]
[5,1,-4,-3,-2]=>[5,1,4,3,2]=>[5,3,4,1,2]=>[5]
[5,-1,4,3,2]=>[5,1,4,3,2]=>[5,3,4,1,2]=>[5]
[5,-1,4,3,-2]=>[5,1,4,3,2]=>[5,3,4,1,2]=>[5]
[5,-1,4,-3,2]=>[5,1,4,3,2]=>[5,3,4,1,2]=>[5]
[5,-1,4,-3,-2]=>[5,1,4,3,2]=>[5,3,4,1,2]=>[5]
[5,-1,-4,3,2]=>[5,1,4,3,2]=>[5,3,4,1,2]=>[5]
[5,-1,-4,3,-2]=>[5,1,4,3,2]=>[5,3,4,1,2]=>[5]
[5,-1,-4,-3,2]=>[5,1,4,3,2]=>[5,3,4,1,2]=>[5]
[5,-1,-4,-3,-2]=>[5,1,4,3,2]=>[5,3,4,1,2]=>[5]
[-5,1,4,3,2]=>[5,1,4,3,2]=>[5,3,4,1,2]=>[5]
[-5,1,4,3,-2]=>[5,1,4,3,2]=>[5,3,4,1,2]=>[5]
[-5,1,4,-3,2]=>[5,1,4,3,2]=>[5,3,4,1,2]=>[5]
[-5,1,4,-3,-2]=>[5,1,4,3,2]=>[5,3,4,1,2]=>[5]
[-5,1,-4,3,2]=>[5,1,4,3,2]=>[5,3,4,1,2]=>[5]
[-5,1,-4,3,-2]=>[5,1,4,3,2]=>[5,3,4,1,2]=>[5]
[-5,1,-4,-3,2]=>[5,1,4,3,2]=>[5,3,4,1,2]=>[5]
[-5,1,-4,-3,-2]=>[5,1,4,3,2]=>[5,3,4,1,2]=>[5]
[-5,-1,4,3,2]=>[5,1,4,3,2]=>[5,3,4,1,2]=>[5]
[-5,-1,4,3,-2]=>[5,1,4,3,2]=>[5,3,4,1,2]=>[5]
[-5,-1,4,-3,2]=>[5,1,4,3,2]=>[5,3,4,1,2]=>[5]
[-5,-1,4,-3,-2]=>[5,1,4,3,2]=>[5,3,4,1,2]=>[5]
[-5,-1,-4,3,2]=>[5,1,4,3,2]=>[5,3,4,1,2]=>[5]
[-5,-1,-4,3,-2]=>[5,1,4,3,2]=>[5,3,4,1,2]=>[5]
[-5,-1,-4,-3,2]=>[5,1,4,3,2]=>[5,3,4,1,2]=>[5]
[-5,-1,-4,-3,-2]=>[5,1,4,3,2]=>[5,3,4,1,2]=>[5]
[5,2,1,3,4]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[5]
[5,2,1,3,-4]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[5]
[5,2,1,-3,4]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[5]
[5,2,1,-3,-4]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[5]
[5,2,-1,3,4]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[5]
[5,2,-1,3,-4]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[5]
[5,2,-1,-3,4]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[5]
[5,2,-1,-3,-4]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[5]
[5,-2,1,3,4]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[5]
[5,-2,1,3,-4]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[5]
[5,-2,1,-3,4]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[5]
[5,-2,1,-3,-4]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[5]
[5,-2,-1,3,4]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[5]
[5,-2,-1,3,-4]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[5]
[5,-2,-1,-3,4]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[5]
[5,-2,-1,-3,-4]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[5]
[-5,2,1,3,4]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[5]
[-5,2,1,3,-4]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[5]
[-5,2,1,-3,4]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[5]
[-5,2,1,-3,-4]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[5]
[-5,2,-1,3,4]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[5]
[-5,2,-1,3,-4]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[5]
[-5,2,-1,-3,4]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[5]
[-5,2,-1,-3,-4]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[5]
[-5,-2,1,3,4]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[5]
[-5,-2,1,3,-4]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[5]
[-5,-2,1,-3,4]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[5]
[-5,-2,1,-3,-4]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[5]
[-5,-2,-1,3,4]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[5]
[-5,-2,-1,3,-4]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[5]
[-5,-2,-1,-3,4]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[5]
[-5,-2,-1,-3,-4]=>[5,2,1,3,4]=>[2,5,1,3,4]=>[5]
[5,2,1,4,3]=>[5,2,1,4,3]=>[2,5,4,1,3]=>[5]
[5,2,1,4,-3]=>[5,2,1,4,3]=>[2,5,4,1,3]=>[5]
[5,2,1,-4,3]=>[5,2,1,4,3]=>[2,5,4,1,3]=>[5]
[5,2,1,-4,-3]=>[5,2,1,4,3]=>[2,5,4,1,3]=>[5]
[5,2,-1,4,3]=>[5,2,1,4,3]=>[2,5,4,1,3]=>[5]
[5,2,-1,4,-3]=>[5,2,1,4,3]=>[2,5,4,1,3]=>[5]
[5,2,-1,-4,3]=>[5,2,1,4,3]=>[2,5,4,1,3]=>[5]
[5,2,-1,-4,-3]=>[5,2,1,4,3]=>[2,5,4,1,3]=>[5]
[5,-2,1,4,3]=>[5,2,1,4,3]=>[2,5,4,1,3]=>[5]
[5,-2,1,4,-3]=>[5,2,1,4,3]=>[2,5,4,1,3]=>[5]
[5,-2,1,-4,3]=>[5,2,1,4,3]=>[2,5,4,1,3]=>[5]
[5,-2,1,-4,-3]=>[5,2,1,4,3]=>[2,5,4,1,3]=>[5]
[5,-2,-1,4,3]=>[5,2,1,4,3]=>[2,5,4,1,3]=>[5]
[5,-2,-1,4,-3]=>[5,2,1,4,3]=>[2,5,4,1,3]=>[5]
[5,-2,-1,-4,3]=>[5,2,1,4,3]=>[2,5,4,1,3]=>[5]
[5,-2,-1,-4,-3]=>[5,2,1,4,3]=>[2,5,4,1,3]=>[5]
[-5,2,1,4,3]=>[5,2,1,4,3]=>[2,5,4,1,3]=>[5]
[-5,2,1,4,-3]=>[5,2,1,4,3]=>[2,5,4,1,3]=>[5]
[-5,2,1,-4,3]=>[5,2,1,4,3]=>[2,5,4,1,3]=>[5]
[-5,2,1,-4,-3]=>[5,2,1,4,3]=>[2,5,4,1,3]=>[5]
[-5,2,-1,4,3]=>[5,2,1,4,3]=>[2,5,4,1,3]=>[5]
[-5,2,-1,4,-3]=>[5,2,1,4,3]=>[2,5,4,1,3]=>[5]
[-5,2,-1,-4,3]=>[5,2,1,4,3]=>[2,5,4,1,3]=>[5]
[-5,2,-1,-4,-3]=>[5,2,1,4,3]=>[2,5,4,1,3]=>[5]
[-5,-2,1,4,3]=>[5,2,1,4,3]=>[2,5,4,1,3]=>[5]
[-5,-2,1,4,-3]=>[5,2,1,4,3]=>[2,5,4,1,3]=>[5]
[-5,-2,1,-4,3]=>[5,2,1,4,3]=>[2,5,4,1,3]=>[5]
[-5,-2,1,-4,-3]=>[5,2,1,4,3]=>[2,5,4,1,3]=>[5]
[-5,-2,-1,4,3]=>[5,2,1,4,3]=>[2,5,4,1,3]=>[5]
[-5,-2,-1,4,-3]=>[5,2,1,4,3]=>[2,5,4,1,3]=>[5]
[-5,-2,-1,-4,3]=>[5,2,1,4,3]=>[2,5,4,1,3]=>[5]
[-5,-2,-1,-4,-3]=>[5,2,1,4,3]=>[2,5,4,1,3]=>[5]
[5,2,3,1,4]=>[5,2,3,1,4]=>[3,5,2,1,4]=>[5]
[5,2,3,1,-4]=>[5,2,3,1,4]=>[3,5,2,1,4]=>[5]
[5,2,3,-1,4]=>[5,2,3,1,4]=>[3,5,2,1,4]=>[5]
[5,2,3,-1,-4]=>[5,2,3,1,4]=>[3,5,2,1,4]=>[5]
[5,2,-3,1,4]=>[5,2,3,1,4]=>[3,5,2,1,4]=>[5]
[5,2,-3,1,-4]=>[5,2,3,1,4]=>[3,5,2,1,4]=>[5]
[5,2,-3,-1,4]=>[5,2,3,1,4]=>[3,5,2,1,4]=>[5]
[5,2,-3,-1,-4]=>[5,2,3,1,4]=>[3,5,2,1,4]=>[5]
[5,-2,3,1,4]=>[5,2,3,1,4]=>[3,5,2,1,4]=>[5]
[5,-2,3,1,-4]=>[5,2,3,1,4]=>[3,5,2,1,4]=>[5]
[5,-2,3,-1,4]=>[5,2,3,1,4]=>[3,5,2,1,4]=>[5]
[5,-2,3,-1,-4]=>[5,2,3,1,4]=>[3,5,2,1,4]=>[5]
[5,-2,-3,1,4]=>[5,2,3,1,4]=>[3,5,2,1,4]=>[5]
[5,-2,-3,1,-4]=>[5,2,3,1,4]=>[3,5,2,1,4]=>[5]
[5,-2,-3,-1,4]=>[5,2,3,1,4]=>[3,5,2,1,4]=>[5]
[5,-2,-3,-1,-4]=>[5,2,3,1,4]=>[3,5,2,1,4]=>[5]
[-5,2,3,1,4]=>[5,2,3,1,4]=>[3,5,2,1,4]=>[5]
[-5,2,3,1,-4]=>[5,2,3,1,4]=>[3,5,2,1,4]=>[5]
[-5,2,3,-1,4]=>[5,2,3,1,4]=>[3,5,2,1,4]=>[5]
[-5,2,3,-1,-4]=>[5,2,3,1,4]=>[3,5,2,1,4]=>[5]
[-5,2,-3,1,4]=>[5,2,3,1,4]=>[3,5,2,1,4]=>[5]
[-5,2,-3,1,-4]=>[5,2,3,1,4]=>[3,5,2,1,4]=>[5]
[-5,2,-3,-1,4]=>[5,2,3,1,4]=>[3,5,2,1,4]=>[5]
[-5,2,-3,-1,-4]=>[5,2,3,1,4]=>[3,5,2,1,4]=>[5]
[-5,-2,3,1,4]=>[5,2,3,1,4]=>[3,5,2,1,4]=>[5]
[-5,-2,3,1,-4]=>[5,2,3,1,4]=>[3,5,2,1,4]=>[5]
[-5,-2,3,-1,4]=>[5,2,3,1,4]=>[3,5,2,1,4]=>[5]
[-5,-2,3,-1,-4]=>[5,2,3,1,4]=>[3,5,2,1,4]=>[5]
[-5,-2,-3,1,4]=>[5,2,3,1,4]=>[3,5,2,1,4]=>[5]
[-5,-2,-3,1,-4]=>[5,2,3,1,4]=>[3,5,2,1,4]=>[5]
[-5,-2,-3,-1,4]=>[5,2,3,1,4]=>[3,5,2,1,4]=>[5]
[-5,-2,-3,-1,-4]=>[5,2,3,1,4]=>[3,5,2,1,4]=>[5]
[5,2,3,4,1]=>[5,2,3,4,1]=>[4,5,2,3,1]=>[5]
[5,2,3,4,-1]=>[5,2,3,4,1]=>[4,5,2,3,1]=>[5]
[5,2,3,-4,1]=>[5,2,3,4,1]=>[4,5,2,3,1]=>[5]
[5,2,3,-4,-1]=>[5,2,3,4,1]=>[4,5,2,3,1]=>[5]
[5,2,-3,4,1]=>[5,2,3,4,1]=>[4,5,2,3,1]=>[5]
[5,2,-3,4,-1]=>[5,2,3,4,1]=>[4,5,2,3,1]=>[5]
[5,2,-3,-4,1]=>[5,2,3,4,1]=>[4,5,2,3,1]=>[5]
[5,2,-3,-4,-1]=>[5,2,3,4,1]=>[4,5,2,3,1]=>[5]
[5,-2,3,4,1]=>[5,2,3,4,1]=>[4,5,2,3,1]=>[5]
[5,-2,3,4,-1]=>[5,2,3,4,1]=>[4,5,2,3,1]=>[5]
[5,-2,3,-4,1]=>[5,2,3,4,1]=>[4,5,2,3,1]=>[5]
[5,-2,3,-4,-1]=>[5,2,3,4,1]=>[4,5,2,3,1]=>[5]
[5,-2,-3,4,1]=>[5,2,3,4,1]=>[4,5,2,3,1]=>[5]
[5,-2,-3,4,-1]=>[5,2,3,4,1]=>[4,5,2,3,1]=>[5]
[5,-2,-3,-4,1]=>[5,2,3,4,1]=>[4,5,2,3,1]=>[5]
[5,-2,-3,-4,-1]=>[5,2,3,4,1]=>[4,5,2,3,1]=>[5]
[-5,2,3,4,1]=>[5,2,3,4,1]=>[4,5,2,3,1]=>[5]
[-5,2,3,4,-1]=>[5,2,3,4,1]=>[4,5,2,3,1]=>[5]
[-5,2,3,-4,1]=>[5,2,3,4,1]=>[4,5,2,3,1]=>[5]
[-5,2,3,-4,-1]=>[5,2,3,4,1]=>[4,5,2,3,1]=>[5]
[-5,2,-3,4,1]=>[5,2,3,4,1]=>[4,5,2,3,1]=>[5]
[-5,2,-3,4,-1]=>[5,2,3,4,1]=>[4,5,2,3,1]=>[5]
[-5,2,-3,-4,1]=>[5,2,3,4,1]=>[4,5,2,3,1]=>[5]
[-5,2,-3,-4,-1]=>[5,2,3,4,1]=>[4,5,2,3,1]=>[5]
[-5,-2,3,4,1]=>[5,2,3,4,1]=>[4,5,2,3,1]=>[5]
[-5,-2,3,4,-1]=>[5,2,3,4,1]=>[4,5,2,3,1]=>[5]
[-5,-2,3,-4,1]=>[5,2,3,4,1]=>[4,5,2,3,1]=>[5]
[-5,-2,3,-4,-1]=>[5,2,3,4,1]=>[4,5,2,3,1]=>[5]
[-5,-2,-3,4,1]=>[5,2,3,4,1]=>[4,5,2,3,1]=>[5]
[-5,-2,-3,4,-1]=>[5,2,3,4,1]=>[4,5,2,3,1]=>[5]
[-5,-2,-3,-4,1]=>[5,2,3,4,1]=>[4,5,2,3,1]=>[5]
[-5,-2,-3,-4,-1]=>[5,2,3,4,1]=>[4,5,2,3,1]=>[5]
[5,2,4,1,3]=>[5,2,4,1,3]=>[4,5,1,2,3]=>[5]
[5,2,4,1,-3]=>[5,2,4,1,3]=>[4,5,1,2,3]=>[5]
[5,2,4,-1,3]=>[5,2,4,1,3]=>[4,5,1,2,3]=>[5]
[5,2,4,-1,-3]=>[5,2,4,1,3]=>[4,5,1,2,3]=>[5]
[5,2,-4,1,3]=>[5,2,4,1,3]=>[4,5,1,2,3]=>[5]
[5,2,-4,1,-3]=>[5,2,4,1,3]=>[4,5,1,2,3]=>[5]
[5,2,-4,-1,3]=>[5,2,4,1,3]=>[4,5,1,2,3]=>[5]
[5,2,-4,-1,-3]=>[5,2,4,1,3]=>[4,5,1,2,3]=>[5]
[5,-2,4,1,3]=>[5,2,4,1,3]=>[4,5,1,2,3]=>[5]
[5,-2,4,1,-3]=>[5,2,4,1,3]=>[4,5,1,2,3]=>[5]
[5,-2,4,-1,3]=>[5,2,4,1,3]=>[4,5,1,2,3]=>[5]
[5,-2,4,-1,-3]=>[5,2,4,1,3]=>[4,5,1,2,3]=>[5]
[5,-2,-4,1,3]=>[5,2,4,1,3]=>[4,5,1,2,3]=>[5]
[5,-2,-4,1,-3]=>[5,2,4,1,3]=>[4,5,1,2,3]=>[5]
[5,-2,-4,-1,3]=>[5,2,4,1,3]=>[4,5,1,2,3]=>[5]
[5,-2,-4,-1,-3]=>[5,2,4,1,3]=>[4,5,1,2,3]=>[5]
[-5,2,4,1,3]=>[5,2,4,1,3]=>[4,5,1,2,3]=>[5]
[-5,2,4,1,-3]=>[5,2,4,1,3]=>[4,5,1,2,3]=>[5]
[-5,2,4,-1,3]=>[5,2,4,1,3]=>[4,5,1,2,3]=>[5]
[-5,2,4,-1,-3]=>[5,2,4,1,3]=>[4,5,1,2,3]=>[5]
[-5,2,-4,1,3]=>[5,2,4,1,3]=>[4,5,1,2,3]=>[5]
[-5,2,-4,1,-3]=>[5,2,4,1,3]=>[4,5,1,2,3]=>[5]
[-5,2,-4,-1,3]=>[5,2,4,1,3]=>[4,5,1,2,3]=>[5]
[-5,2,-4,-1,-3]=>[5,2,4,1,3]=>[4,5,1,2,3]=>[5]
[-5,-2,4,1,3]=>[5,2,4,1,3]=>[4,5,1,2,3]=>[5]
[-5,-2,4,1,-3]=>[5,2,4,1,3]=>[4,5,1,2,3]=>[5]
[-5,-2,4,-1,3]=>[5,2,4,1,3]=>[4,5,1,2,3]=>[5]
[-5,-2,4,-1,-3]=>[5,2,4,1,3]=>[4,5,1,2,3]=>[5]
[-5,-2,-4,1,3]=>[5,2,4,1,3]=>[4,5,1,2,3]=>[5]
[-5,-2,-4,1,-3]=>[5,2,4,1,3]=>[4,5,1,2,3]=>[5]
[-5,-2,-4,-1,3]=>[5,2,4,1,3]=>[4,5,1,2,3]=>[5]
[-5,-2,-4,-1,-3]=>[5,2,4,1,3]=>[4,5,1,2,3]=>[5]
[5,2,4,3,1]=>[5,2,4,3,1]=>[3,4,5,1,2]=>[5]
[5,2,4,3,-1]=>[5,2,4,3,1]=>[3,4,5,1,2]=>[5]
[5,2,4,-3,1]=>[5,2,4,3,1]=>[3,4,5,1,2]=>[5]
[5,2,4,-3,-1]=>[5,2,4,3,1]=>[3,4,5,1,2]=>[5]
[5,2,-4,3,1]=>[5,2,4,3,1]=>[3,4,5,1,2]=>[5]
[5,2,-4,3,-1]=>[5,2,4,3,1]=>[3,4,5,1,2]=>[5]
[5,2,-4,-3,1]=>[5,2,4,3,1]=>[3,4,5,1,2]=>[5]
[5,2,-4,-3,-1]=>[5,2,4,3,1]=>[3,4,5,1,2]=>[5]
[5,-2,4,3,1]=>[5,2,4,3,1]=>[3,4,5,1,2]=>[5]
[5,-2,4,3,-1]=>[5,2,4,3,1]=>[3,4,5,1,2]=>[5]
[5,-2,4,-3,1]=>[5,2,4,3,1]=>[3,4,5,1,2]=>[5]
[5,-2,4,-3,-1]=>[5,2,4,3,1]=>[3,4,5,1,2]=>[5]
[5,-2,-4,3,1]=>[5,2,4,3,1]=>[3,4,5,1,2]=>[5]
[5,-2,-4,3,-1]=>[5,2,4,3,1]=>[3,4,5,1,2]=>[5]
[5,-2,-4,-3,1]=>[5,2,4,3,1]=>[3,4,5,1,2]=>[5]
[5,-2,-4,-3,-1]=>[5,2,4,3,1]=>[3,4,5,1,2]=>[5]
[-5,2,4,3,1]=>[5,2,4,3,1]=>[3,4,5,1,2]=>[5]
[-5,2,4,3,-1]=>[5,2,4,3,1]=>[3,4,5,1,2]=>[5]
[-5,2,4,-3,1]=>[5,2,4,3,1]=>[3,4,5,1,2]=>[5]
[-5,2,4,-3,-1]=>[5,2,4,3,1]=>[3,4,5,1,2]=>[5]
[-5,2,-4,3,1]=>[5,2,4,3,1]=>[3,4,5,1,2]=>[5]
[-5,2,-4,3,-1]=>[5,2,4,3,1]=>[3,4,5,1,2]=>[5]
[-5,2,-4,-3,1]=>[5,2,4,3,1]=>[3,4,5,1,2]=>[5]
[-5,2,-4,-3,-1]=>[5,2,4,3,1]=>[3,4,5,1,2]=>[5]
[-5,-2,4,3,1]=>[5,2,4,3,1]=>[3,4,5,1,2]=>[5]
[-5,-2,4,3,-1]=>[5,2,4,3,1]=>[3,4,5,1,2]=>[5]
[-5,-2,4,-3,1]=>[5,2,4,3,1]=>[3,4,5,1,2]=>[5]
[-5,-2,4,-3,-1]=>[5,2,4,3,1]=>[3,4,5,1,2]=>[5]
[-5,-2,-4,3,1]=>[5,2,4,3,1]=>[3,4,5,1,2]=>[5]
[-5,-2,-4,3,-1]=>[5,2,4,3,1]=>[3,4,5,1,2]=>[5]
[-5,-2,-4,-3,1]=>[5,2,4,3,1]=>[3,4,5,1,2]=>[5]
[-5,-2,-4,-3,-1]=>[5,2,4,3,1]=>[3,4,5,1,2]=>[5]
[5,3,1,2,4]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[5]
[5,3,1,2,-4]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[5]
[5,3,1,-2,4]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[5]
[5,3,1,-2,-4]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[5]
[5,3,-1,2,4]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[5]
[5,3,-1,2,-4]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[5]
[5,3,-1,-2,4]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[5]
[5,3,-1,-2,-4]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[5]
[5,-3,1,2,4]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[5]
[5,-3,1,2,-4]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[5]
[5,-3,1,-2,4]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[5]
[5,-3,1,-2,-4]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[5]
[5,-3,-1,2,4]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[5]
[5,-3,-1,2,-4]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[5]
[5,-3,-1,-2,4]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[5]
[5,-3,-1,-2,-4]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[5]
[-5,3,1,2,4]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[5]
[-5,3,1,2,-4]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[5]
[-5,3,1,-2,4]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[5]
[-5,3,1,-2,-4]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[5]
[-5,3,-1,2,4]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[5]
[-5,3,-1,2,-4]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[5]
[-5,3,-1,-2,4]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[5]
[-5,3,-1,-2,-4]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[5]
[-5,-3,1,2,4]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[5]
[-5,-3,1,2,-4]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[5]
[-5,-3,1,-2,4]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[5]
[-5,-3,1,-2,-4]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[5]
[-5,-3,-1,2,4]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[5]
[-5,-3,-1,2,-4]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[5]
[-5,-3,-1,-2,4]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[5]
[-5,-3,-1,-2,-4]=>[5,3,1,2,4]=>[3,1,5,2,4]=>[5]
[5,3,1,4,2]=>[5,3,1,4,2]=>[3,5,4,2,1]=>[5]
[5,3,1,4,-2]=>[5,3,1,4,2]=>[3,5,4,2,1]=>[5]
[5,3,1,-4,2]=>[5,3,1,4,2]=>[3,5,4,2,1]=>[5]
[5,3,1,-4,-2]=>[5,3,1,4,2]=>[3,5,4,2,1]=>[5]
[5,3,-1,4,2]=>[5,3,1,4,2]=>[3,5,4,2,1]=>[5]
[5,3,-1,4,-2]=>[5,3,1,4,2]=>[3,5,4,2,1]=>[5]
[5,3,-1,-4,2]=>[5,3,1,4,2]=>[3,5,4,2,1]=>[5]
[5,3,-1,-4,-2]=>[5,3,1,4,2]=>[3,5,4,2,1]=>[5]
[5,-3,1,4,2]=>[5,3,1,4,2]=>[3,5,4,2,1]=>[5]
[5,-3,1,4,-2]=>[5,3,1,4,2]=>[3,5,4,2,1]=>[5]
[5,-3,1,-4,2]=>[5,3,1,4,2]=>[3,5,4,2,1]=>[5]
[5,-3,1,-4,-2]=>[5,3,1,4,2]=>[3,5,4,2,1]=>[5]
[5,-3,-1,4,2]=>[5,3,1,4,2]=>[3,5,4,2,1]=>[5]
[5,-3,-1,4,-2]=>[5,3,1,4,2]=>[3,5,4,2,1]=>[5]
[5,-3,-1,-4,2]=>[5,3,1,4,2]=>[3,5,4,2,1]=>[5]
[5,-3,-1,-4,-2]=>[5,3,1,4,2]=>[3,5,4,2,1]=>[5]
[-5,3,1,4,2]=>[5,3,1,4,2]=>[3,5,4,2,1]=>[5]
[-5,3,1,4,-2]=>[5,3,1,4,2]=>[3,5,4,2,1]=>[5]
[-5,3,1,-4,2]=>[5,3,1,4,2]=>[3,5,4,2,1]=>[5]
[-5,3,1,-4,-2]=>[5,3,1,4,2]=>[3,5,4,2,1]=>[5]
[-5,3,-1,4,2]=>[5,3,1,4,2]=>[3,5,4,2,1]=>[5]
[-5,3,-1,4,-2]=>[5,3,1,4,2]=>[3,5,4,2,1]=>[5]
[-5,3,-1,-4,2]=>[5,3,1,4,2]=>[3,5,4,2,1]=>[5]
[-5,3,-1,-4,-2]=>[5,3,1,4,2]=>[3,5,4,2,1]=>[5]
[-5,-3,1,4,2]=>[5,3,1,4,2]=>[3,5,4,2,1]=>[5]
[-5,-3,1,4,-2]=>[5,3,1,4,2]=>[3,5,4,2,1]=>[5]
[-5,-3,1,-4,2]=>[5,3,1,4,2]=>[3,5,4,2,1]=>[5]
[-5,-3,1,-4,-2]=>[5,3,1,4,2]=>[3,5,4,2,1]=>[5]
[-5,-3,-1,4,2]=>[5,3,1,4,2]=>[3,5,4,2,1]=>[5]
[-5,-3,-1,4,-2]=>[5,3,1,4,2]=>[3,5,4,2,1]=>[5]
[-5,-3,-1,-4,2]=>[5,3,1,4,2]=>[3,5,4,2,1]=>[5]
[-5,-3,-1,-4,-2]=>[5,3,1,4,2]=>[3,5,4,2,1]=>[5]
[5,3,2,1,4]=>[5,3,2,1,4]=>[2,3,5,1,4]=>[5]
[5,3,2,1,-4]=>[5,3,2,1,4]=>[2,3,5,1,4]=>[5]
[5,3,2,-1,4]=>[5,3,2,1,4]=>[2,3,5,1,4]=>[5]
[5,3,2,-1,-4]=>[5,3,2,1,4]=>[2,3,5,1,4]=>[5]
[5,3,-2,1,4]=>[5,3,2,1,4]=>[2,3,5,1,4]=>[5]
[5,3,-2,1,-4]=>[5,3,2,1,4]=>[2,3,5,1,4]=>[5]
[5,3,-2,-1,4]=>[5,3,2,1,4]=>[2,3,5,1,4]=>[5]
[5,3,-2,-1,-4]=>[5,3,2,1,4]=>[2,3,5,1,4]=>[5]
[5,-3,2,1,4]=>[5,3,2,1,4]=>[2,3,5,1,4]=>[5]
[5,-3,2,1,-4]=>[5,3,2,1,4]=>[2,3,5,1,4]=>[5]
[5,-3,2,-1,4]=>[5,3,2,1,4]=>[2,3,5,1,4]=>[5]
[5,-3,2,-1,-4]=>[5,3,2,1,4]=>[2,3,5,1,4]=>[5]
[5,-3,-2,1,4]=>[5,3,2,1,4]=>[2,3,5,1,4]=>[5]
[5,-3,-2,1,-4]=>[5,3,2,1,4]=>[2,3,5,1,4]=>[5]
[5,-3,-2,-1,4]=>[5,3,2,1,4]=>[2,3,5,1,4]=>[5]
[5,-3,-2,-1,-4]=>[5,3,2,1,4]=>[2,3,5,1,4]=>[5]
[-5,3,2,1,4]=>[5,3,2,1,4]=>[2,3,5,1,4]=>[5]
[-5,3,2,1,-4]=>[5,3,2,1,4]=>[2,3,5,1,4]=>[5]
[-5,3,2,-1,4]=>[5,3,2,1,4]=>[2,3,5,1,4]=>[5]
[-5,3,2,-1,-4]=>[5,3,2,1,4]=>[2,3,5,1,4]=>[5]
[-5,3,-2,1,4]=>[5,3,2,1,4]=>[2,3,5,1,4]=>[5]
[-5,3,-2,1,-4]=>[5,3,2,1,4]=>[2,3,5,1,4]=>[5]
[-5,3,-2,-1,4]=>[5,3,2,1,4]=>[2,3,5,1,4]=>[5]
[-5,3,-2,-1,-4]=>[5,3,2,1,4]=>[2,3,5,1,4]=>[5]
[-5,-3,2,1,4]=>[5,3,2,1,4]=>[2,3,5,1,4]=>[5]
[-5,-3,2,1,-4]=>[5,3,2,1,4]=>[2,3,5,1,4]=>[5]
[-5,-3,2,-1,4]=>[5,3,2,1,4]=>[2,3,5,1,4]=>[5]
[-5,-3,2,-1,-4]=>[5,3,2,1,4]=>[2,3,5,1,4]=>[5]
[-5,-3,-2,1,4]=>[5,3,2,1,4]=>[2,3,5,1,4]=>[5]
[-5,-3,-2,1,-4]=>[5,3,2,1,4]=>[2,3,5,1,4]=>[5]
[-5,-3,-2,-1,4]=>[5,3,2,1,4]=>[2,3,5,1,4]=>[5]
[-5,-3,-2,-1,-4]=>[5,3,2,1,4]=>[2,3,5,1,4]=>[5]
[5,3,2,4,1]=>[5,3,2,4,1]=>[4,3,5,2,1]=>[5]
[5,3,2,4,-1]=>[5,3,2,4,1]=>[4,3,5,2,1]=>[5]
[5,3,2,-4,1]=>[5,3,2,4,1]=>[4,3,5,2,1]=>[5]
[5,3,2,-4,-1]=>[5,3,2,4,1]=>[4,3,5,2,1]=>[5]
[5,3,-2,4,1]=>[5,3,2,4,1]=>[4,3,5,2,1]=>[5]
[5,3,-2,4,-1]=>[5,3,2,4,1]=>[4,3,5,2,1]=>[5]
[5,3,-2,-4,1]=>[5,3,2,4,1]=>[4,3,5,2,1]=>[5]
[5,3,-2,-4,-1]=>[5,3,2,4,1]=>[4,3,5,2,1]=>[5]
[5,-3,2,4,1]=>[5,3,2,4,1]=>[4,3,5,2,1]=>[5]
[5,-3,2,4,-1]=>[5,3,2,4,1]=>[4,3,5,2,1]=>[5]
[5,-3,2,-4,1]=>[5,3,2,4,1]=>[4,3,5,2,1]=>[5]
[5,-3,2,-4,-1]=>[5,3,2,4,1]=>[4,3,5,2,1]=>[5]
[5,-3,-2,4,1]=>[5,3,2,4,1]=>[4,3,5,2,1]=>[5]
[5,-3,-2,4,-1]=>[5,3,2,4,1]=>[4,3,5,2,1]=>[5]
[5,-3,-2,-4,1]=>[5,3,2,4,1]=>[4,3,5,2,1]=>[5]
[5,-3,-2,-4,-1]=>[5,3,2,4,1]=>[4,3,5,2,1]=>[5]
[-5,3,2,4,1]=>[5,3,2,4,1]=>[4,3,5,2,1]=>[5]
[-5,3,2,4,-1]=>[5,3,2,4,1]=>[4,3,5,2,1]=>[5]
[-5,3,2,-4,1]=>[5,3,2,4,1]=>[4,3,5,2,1]=>[5]
[-5,3,2,-4,-1]=>[5,3,2,4,1]=>[4,3,5,2,1]=>[5]
[-5,3,-2,4,1]=>[5,3,2,4,1]=>[4,3,5,2,1]=>[5]
[-5,3,-2,4,-1]=>[5,3,2,4,1]=>[4,3,5,2,1]=>[5]
[-5,3,-2,-4,1]=>[5,3,2,4,1]=>[4,3,5,2,1]=>[5]
[-5,3,-2,-4,-1]=>[5,3,2,4,1]=>[4,3,5,2,1]=>[5]
[-5,-3,2,4,1]=>[5,3,2,4,1]=>[4,3,5,2,1]=>[5]
[-5,-3,2,4,-1]=>[5,3,2,4,1]=>[4,3,5,2,1]=>[5]
[-5,-3,2,-4,1]=>[5,3,2,4,1]=>[4,3,5,2,1]=>[5]
[-5,-3,2,-4,-1]=>[5,3,2,4,1]=>[4,3,5,2,1]=>[5]
[-5,-3,-2,4,1]=>[5,3,2,4,1]=>[4,3,5,2,1]=>[5]
[-5,-3,-2,4,-1]=>[5,3,2,4,1]=>[4,3,5,2,1]=>[5]
[-5,-3,-2,-4,1]=>[5,3,2,4,1]=>[4,3,5,2,1]=>[5]
[-5,-3,-2,-4,-1]=>[5,3,2,4,1]=>[4,3,5,2,1]=>[5]
[5,3,4,1,2]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[5]
[5,3,4,1,-2]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[5]
[5,3,4,-1,2]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[5]
[5,3,4,-1,-2]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[5]
[5,3,-4,1,2]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[5]
[5,3,-4,1,-2]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[5]
[5,3,-4,-1,2]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[5]
[5,3,-4,-1,-2]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[5]
[5,-3,4,1,2]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[5]
[5,-3,4,1,-2]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[5]
[5,-3,4,-1,2]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[5]
[5,-3,4,-1,-2]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[5]
[5,-3,-4,1,2]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[5]
[5,-3,-4,1,-2]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[5]
[5,-3,-4,-1,2]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[5]
[5,-3,-4,-1,-2]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[5]
[-5,3,4,1,2]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[5]
[-5,3,4,1,-2]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[5]
[-5,3,4,-1,2]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[5]
[-5,3,4,-1,-2]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[5]
[-5,3,-4,1,2]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[5]
[-5,3,-4,1,-2]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[5]
[-5,3,-4,-1,2]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[5]
[-5,3,-4,-1,-2]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[5]
[-5,-3,4,1,2]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[5]
[-5,-3,4,1,-2]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[5]
[-5,-3,4,-1,2]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[5]
[-5,-3,4,-1,-2]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[5]
[-5,-3,-4,1,2]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[5]
[-5,-3,-4,1,-2]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[5]
[-5,-3,-4,-1,2]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[5]
[-5,-3,-4,-1,-2]=>[5,3,4,1,2]=>[4,1,5,3,2]=>[5]
[5,3,4,2,1]=>[5,3,4,2,1]=>[2,4,5,3,1]=>[5]
[5,3,4,2,-1]=>[5,3,4,2,1]=>[2,4,5,3,1]=>[5]
[5,3,4,-2,1]=>[5,3,4,2,1]=>[2,4,5,3,1]=>[5]
[5,3,4,-2,-1]=>[5,3,4,2,1]=>[2,4,5,3,1]=>[5]
[5,3,-4,2,1]=>[5,3,4,2,1]=>[2,4,5,3,1]=>[5]
[5,3,-4,2,-1]=>[5,3,4,2,1]=>[2,4,5,3,1]=>[5]
[5,3,-4,-2,1]=>[5,3,4,2,1]=>[2,4,5,3,1]=>[5]
[5,3,-4,-2,-1]=>[5,3,4,2,1]=>[2,4,5,3,1]=>[5]
[5,-3,4,2,1]=>[5,3,4,2,1]=>[2,4,5,3,1]=>[5]
[5,-3,4,2,-1]=>[5,3,4,2,1]=>[2,4,5,3,1]=>[5]
[5,-3,4,-2,1]=>[5,3,4,2,1]=>[2,4,5,3,1]=>[5]
[5,-3,4,-2,-1]=>[5,3,4,2,1]=>[2,4,5,3,1]=>[5]
[5,-3,-4,2,1]=>[5,3,4,2,1]=>[2,4,5,3,1]=>[5]
[5,-3,-4,2,-1]=>[5,3,4,2,1]=>[2,4,5,3,1]=>[5]
[5,-3,-4,-2,1]=>[5,3,4,2,1]=>[2,4,5,3,1]=>[5]
[5,-3,-4,-2,-1]=>[5,3,4,2,1]=>[2,4,5,3,1]=>[5]
[-5,3,4,2,1]=>[5,3,4,2,1]=>[2,4,5,3,1]=>[5]
[-5,3,4,2,-1]=>[5,3,4,2,1]=>[2,4,5,3,1]=>[5]
[-5,3,4,-2,1]=>[5,3,4,2,1]=>[2,4,5,3,1]=>[5]
[-5,3,4,-2,-1]=>[5,3,4,2,1]=>[2,4,5,3,1]=>[5]
[-5,3,-4,2,1]=>[5,3,4,2,1]=>[2,4,5,3,1]=>[5]
[-5,3,-4,2,-1]=>[5,3,4,2,1]=>[2,4,5,3,1]=>[5]
[-5,3,-4,-2,1]=>[5,3,4,2,1]=>[2,4,5,3,1]=>[5]
[-5,3,-4,-2,-1]=>[5,3,4,2,1]=>[2,4,5,3,1]=>[5]
[-5,-3,4,2,1]=>[5,3,4,2,1]=>[2,4,5,3,1]=>[5]
[-5,-3,4,2,-1]=>[5,3,4,2,1]=>[2,4,5,3,1]=>[5]
[-5,-3,4,-2,1]=>[5,3,4,2,1]=>[2,4,5,3,1]=>[5]
[-5,-3,4,-2,-1]=>[5,3,4,2,1]=>[2,4,5,3,1]=>[5]
[-5,-3,-4,2,1]=>[5,3,4,2,1]=>[2,4,5,3,1]=>[5]
[-5,-3,-4,2,-1]=>[5,3,4,2,1]=>[2,4,5,3,1]=>[5]
[-5,-3,-4,-2,1]=>[5,3,4,2,1]=>[2,4,5,3,1]=>[5]
[-5,-3,-4,-2,-1]=>[5,3,4,2,1]=>[2,4,5,3,1]=>[5]
[5,4,1,2,3]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[5]
[5,4,1,2,-3]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[5]
[5,4,1,-2,3]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[5]
[5,4,1,-2,-3]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[5]
[5,4,-1,2,3]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[5]
[5,4,-1,2,-3]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[5]
[5,4,-1,-2,3]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[5]
[5,4,-1,-2,-3]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[5]
[5,-4,1,2,3]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[5]
[5,-4,1,2,-3]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[5]
[5,-4,1,-2,3]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[5]
[5,-4,1,-2,-3]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[5]
[5,-4,-1,2,3]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[5]
[5,-4,-1,2,-3]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[5]
[5,-4,-1,-2,3]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[5]
[5,-4,-1,-2,-3]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[5]
[-5,4,1,2,3]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[5]
[-5,4,1,2,-3]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[5]
[-5,4,1,-2,3]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[5]
[-5,4,1,-2,-3]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[5]
[-5,4,-1,2,3]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[5]
[-5,4,-1,2,-3]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[5]
[-5,4,-1,-2,3]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[5]
[-5,4,-1,-2,-3]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[5]
[-5,-4,1,2,3]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[5]
[-5,-4,1,2,-3]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[5]
[-5,-4,1,-2,3]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[5]
[-5,-4,1,-2,-3]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[5]
[-5,-4,-1,2,3]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[5]
[-5,-4,-1,2,-3]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[5]
[-5,-4,-1,-2,3]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[5]
[-5,-4,-1,-2,-3]=>[5,4,1,2,3]=>[4,1,2,5,3]=>[5]
[5,4,1,3,2]=>[5,4,1,3,2]=>[4,3,1,5,2]=>[5]
[5,4,1,3,-2]=>[5,4,1,3,2]=>[4,3,1,5,2]=>[5]
[5,4,1,-3,2]=>[5,4,1,3,2]=>[4,3,1,5,2]=>[5]
[5,4,1,-3,-2]=>[5,4,1,3,2]=>[4,3,1,5,2]=>[5]
[5,4,-1,3,2]=>[5,4,1,3,2]=>[4,3,1,5,2]=>[5]
[5,4,-1,3,-2]=>[5,4,1,3,2]=>[4,3,1,5,2]=>[5]
[5,4,-1,-3,2]=>[5,4,1,3,2]=>[4,3,1,5,2]=>[5]
[5,4,-1,-3,-2]=>[5,4,1,3,2]=>[4,3,1,5,2]=>[5]
[5,-4,1,3,2]=>[5,4,1,3,2]=>[4,3,1,5,2]=>[5]
[5,-4,1,3,-2]=>[5,4,1,3,2]=>[4,3,1,5,2]=>[5]
[5,-4,1,-3,2]=>[5,4,1,3,2]=>[4,3,1,5,2]=>[5]
[5,-4,1,-3,-2]=>[5,4,1,3,2]=>[4,3,1,5,2]=>[5]
[5,-4,-1,3,2]=>[5,4,1,3,2]=>[4,3,1,5,2]=>[5]
[5,-4,-1,3,-2]=>[5,4,1,3,2]=>[4,3,1,5,2]=>[5]
[5,-4,-1,-3,2]=>[5,4,1,3,2]=>[4,3,1,5,2]=>[5]
[5,-4,-1,-3,-2]=>[5,4,1,3,2]=>[4,3,1,5,2]=>[5]
[-5,4,1,3,2]=>[5,4,1,3,2]=>[4,3,1,5,2]=>[5]
[-5,4,1,3,-2]=>[5,4,1,3,2]=>[4,3,1,5,2]=>[5]
[-5,4,1,-3,2]=>[5,4,1,3,2]=>[4,3,1,5,2]=>[5]
[-5,4,1,-3,-2]=>[5,4,1,3,2]=>[4,3,1,5,2]=>[5]
[-5,4,-1,3,2]=>[5,4,1,3,2]=>[4,3,1,5,2]=>[5]
[-5,4,-1,3,-2]=>[5,4,1,3,2]=>[4,3,1,5,2]=>[5]
[-5,4,-1,-3,2]=>[5,4,1,3,2]=>[4,3,1,5,2]=>[5]
[-5,4,-1,-3,-2]=>[5,4,1,3,2]=>[4,3,1,5,2]=>[5]
[-5,-4,1,3,2]=>[5,4,1,3,2]=>[4,3,1,5,2]=>[5]
[-5,-4,1,3,-2]=>[5,4,1,3,2]=>[4,3,1,5,2]=>[5]
[-5,-4,1,-3,2]=>[5,4,1,3,2]=>[4,3,1,5,2]=>[5]
[-5,-4,1,-3,-2]=>[5,4,1,3,2]=>[4,3,1,5,2]=>[5]
[-5,-4,-1,3,2]=>[5,4,1,3,2]=>[4,3,1,5,2]=>[5]
[-5,-4,-1,3,-2]=>[5,4,1,3,2]=>[4,3,1,5,2]=>[5]
[-5,-4,-1,-3,2]=>[5,4,1,3,2]=>[4,3,1,5,2]=>[5]
[-5,-4,-1,-3,-2]=>[5,4,1,3,2]=>[4,3,1,5,2]=>[5]
[5,4,2,1,3]=>[5,4,2,1,3]=>[2,4,1,5,3]=>[5]
[5,4,2,1,-3]=>[5,4,2,1,3]=>[2,4,1,5,3]=>[5]
[5,4,2,-1,3]=>[5,4,2,1,3]=>[2,4,1,5,3]=>[5]
[5,4,2,-1,-3]=>[5,4,2,1,3]=>[2,4,1,5,3]=>[5]
[5,4,-2,1,3]=>[5,4,2,1,3]=>[2,4,1,5,3]=>[5]
[5,4,-2,1,-3]=>[5,4,2,1,3]=>[2,4,1,5,3]=>[5]
[5,4,-2,-1,3]=>[5,4,2,1,3]=>[2,4,1,5,3]=>[5]
[5,4,-2,-1,-3]=>[5,4,2,1,3]=>[2,4,1,5,3]=>[5]
[5,-4,2,1,3]=>[5,4,2,1,3]=>[2,4,1,5,3]=>[5]
[5,-4,2,1,-3]=>[5,4,2,1,3]=>[2,4,1,5,3]=>[5]
[5,-4,2,-1,3]=>[5,4,2,1,3]=>[2,4,1,5,3]=>[5]
[5,-4,2,-1,-3]=>[5,4,2,1,3]=>[2,4,1,5,3]=>[5]
[5,-4,-2,1,3]=>[5,4,2,1,3]=>[2,4,1,5,3]=>[5]
[5,-4,-2,1,-3]=>[5,4,2,1,3]=>[2,4,1,5,3]=>[5]
[5,-4,-2,-1,3]=>[5,4,2,1,3]=>[2,4,1,5,3]=>[5]
[5,-4,-2,-1,-3]=>[5,4,2,1,3]=>[2,4,1,5,3]=>[5]
[-5,4,2,1,3]=>[5,4,2,1,3]=>[2,4,1,5,3]=>[5]
[-5,4,2,1,-3]=>[5,4,2,1,3]=>[2,4,1,5,3]=>[5]
[-5,4,2,-1,3]=>[5,4,2,1,3]=>[2,4,1,5,3]=>[5]
[-5,4,2,-1,-3]=>[5,4,2,1,3]=>[2,4,1,5,3]=>[5]
[-5,4,-2,1,3]=>[5,4,2,1,3]=>[2,4,1,5,3]=>[5]
[-5,4,-2,1,-3]=>[5,4,2,1,3]=>[2,4,1,5,3]=>[5]
[-5,4,-2,-1,3]=>[5,4,2,1,3]=>[2,4,1,5,3]=>[5]
[-5,4,-2,-1,-3]=>[5,4,2,1,3]=>[2,4,1,5,3]=>[5]
[-5,-4,2,1,3]=>[5,4,2,1,3]=>[2,4,1,5,3]=>[5]
[-5,-4,2,1,-3]=>[5,4,2,1,3]=>[2,4,1,5,3]=>[5]
[-5,-4,2,-1,3]=>[5,4,2,1,3]=>[2,4,1,5,3]=>[5]
[-5,-4,2,-1,-3]=>[5,4,2,1,3]=>[2,4,1,5,3]=>[5]
[-5,-4,-2,1,3]=>[5,4,2,1,3]=>[2,4,1,5,3]=>[5]
[-5,-4,-2,1,-3]=>[5,4,2,1,3]=>[2,4,1,5,3]=>[5]
[-5,-4,-2,-1,3]=>[5,4,2,1,3]=>[2,4,1,5,3]=>[5]
[-5,-4,-2,-1,-3]=>[5,4,2,1,3]=>[2,4,1,5,3]=>[5]
[5,4,2,3,1]=>[5,4,2,3,1]=>[3,4,2,5,1]=>[5]
[5,4,2,3,-1]=>[5,4,2,3,1]=>[3,4,2,5,1]=>[5]
[5,4,2,-3,1]=>[5,4,2,3,1]=>[3,4,2,5,1]=>[5]
[5,4,2,-3,-1]=>[5,4,2,3,1]=>[3,4,2,5,1]=>[5]
[5,4,-2,3,1]=>[5,4,2,3,1]=>[3,4,2,5,1]=>[5]
[5,4,-2,3,-1]=>[5,4,2,3,1]=>[3,4,2,5,1]=>[5]
[5,4,-2,-3,1]=>[5,4,2,3,1]=>[3,4,2,5,1]=>[5]
[5,4,-2,-3,-1]=>[5,4,2,3,1]=>[3,4,2,5,1]=>[5]
[5,-4,2,3,1]=>[5,4,2,3,1]=>[3,4,2,5,1]=>[5]
[5,-4,2,3,-1]=>[5,4,2,3,1]=>[3,4,2,5,1]=>[5]
[5,-4,2,-3,1]=>[5,4,2,3,1]=>[3,4,2,5,1]=>[5]
[5,-4,2,-3,-1]=>[5,4,2,3,1]=>[3,4,2,5,1]=>[5]
[5,-4,-2,3,1]=>[5,4,2,3,1]=>[3,4,2,5,1]=>[5]
[5,-4,-2,3,-1]=>[5,4,2,3,1]=>[3,4,2,5,1]=>[5]
[5,-4,-2,-3,1]=>[5,4,2,3,1]=>[3,4,2,5,1]=>[5]
[5,-4,-2,-3,-1]=>[5,4,2,3,1]=>[3,4,2,5,1]=>[5]
[-5,4,2,3,1]=>[5,4,2,3,1]=>[3,4,2,5,1]=>[5]
[-5,4,2,3,-1]=>[5,4,2,3,1]=>[3,4,2,5,1]=>[5]
[-5,4,2,-3,1]=>[5,4,2,3,1]=>[3,4,2,5,1]=>[5]
[-5,4,2,-3,-1]=>[5,4,2,3,1]=>[3,4,2,5,1]=>[5]
[-5,4,-2,3,1]=>[5,4,2,3,1]=>[3,4,2,5,1]=>[5]
[-5,4,-2,3,-1]=>[5,4,2,3,1]=>[3,4,2,5,1]=>[5]
[-5,4,-2,-3,1]=>[5,4,2,3,1]=>[3,4,2,5,1]=>[5]
[-5,4,-2,-3,-1]=>[5,4,2,3,1]=>[3,4,2,5,1]=>[5]
[-5,-4,2,3,1]=>[5,4,2,3,1]=>[3,4,2,5,1]=>[5]
[-5,-4,2,3,-1]=>[5,4,2,3,1]=>[3,4,2,5,1]=>[5]
[-5,-4,2,-3,1]=>[5,4,2,3,1]=>[3,4,2,5,1]=>[5]
[-5,-4,2,-3,-1]=>[5,4,2,3,1]=>[3,4,2,5,1]=>[5]
[-5,-4,-2,3,1]=>[5,4,2,3,1]=>[3,4,2,5,1]=>[5]
[-5,-4,-2,3,-1]=>[5,4,2,3,1]=>[3,4,2,5,1]=>[5]
[-5,-4,-2,-3,1]=>[5,4,2,3,1]=>[3,4,2,5,1]=>[5]
[-5,-4,-2,-3,-1]=>[5,4,2,3,1]=>[3,4,2,5,1]=>[5]
[5,4,3,1,2]=>[5,4,3,1,2]=>[3,1,4,5,2]=>[5]
[5,4,3,1,-2]=>[5,4,3,1,2]=>[3,1,4,5,2]=>[5]
[5,4,3,-1,2]=>[5,4,3,1,2]=>[3,1,4,5,2]=>[5]
[5,4,3,-1,-2]=>[5,4,3,1,2]=>[3,1,4,5,2]=>[5]
[5,4,-3,1,2]=>[5,4,3,1,2]=>[3,1,4,5,2]=>[5]
[5,4,-3,1,-2]=>[5,4,3,1,2]=>[3,1,4,5,2]=>[5]
[5,4,-3,-1,2]=>[5,4,3,1,2]=>[3,1,4,5,2]=>[5]
[5,4,-3,-1,-2]=>[5,4,3,1,2]=>[3,1,4,5,2]=>[5]
[5,-4,3,1,2]=>[5,4,3,1,2]=>[3,1,4,5,2]=>[5]
[5,-4,3,1,-2]=>[5,4,3,1,2]=>[3,1,4,5,2]=>[5]
[5,-4,3,-1,2]=>[5,4,3,1,2]=>[3,1,4,5,2]=>[5]
[5,-4,3,-1,-2]=>[5,4,3,1,2]=>[3,1,4,5,2]=>[5]
[5,-4,-3,1,2]=>[5,4,3,1,2]=>[3,1,4,5,2]=>[5]
[5,-4,-3,1,-2]=>[5,4,3,1,2]=>[3,1,4,5,2]=>[5]
[5,-4,-3,-1,2]=>[5,4,3,1,2]=>[3,1,4,5,2]=>[5]
[5,-4,-3,-1,-2]=>[5,4,3,1,2]=>[3,1,4,5,2]=>[5]
[-5,4,3,1,2]=>[5,4,3,1,2]=>[3,1,4,5,2]=>[5]
[-5,4,3,1,-2]=>[5,4,3,1,2]=>[3,1,4,5,2]=>[5]
[-5,4,3,-1,2]=>[5,4,3,1,2]=>[3,1,4,5,2]=>[5]
[-5,4,3,-1,-2]=>[5,4,3,1,2]=>[3,1,4,5,2]=>[5]
[-5,4,-3,1,2]=>[5,4,3,1,2]=>[3,1,4,5,2]=>[5]
[-5,4,-3,1,-2]=>[5,4,3,1,2]=>[3,1,4,5,2]=>[5]
[-5,4,-3,-1,2]=>[5,4,3,1,2]=>[3,1,4,5,2]=>[5]
[-5,4,-3,-1,-2]=>[5,4,3,1,2]=>[3,1,4,5,2]=>[5]
[-5,-4,3,1,2]=>[5,4,3,1,2]=>[3,1,4,5,2]=>[5]
[-5,-4,3,1,-2]=>[5,4,3,1,2]=>[3,1,4,5,2]=>[5]
[-5,-4,3,-1,2]=>[5,4,3,1,2]=>[3,1,4,5,2]=>[5]
[-5,-4,3,-1,-2]=>[5,4,3,1,2]=>[3,1,4,5,2]=>[5]
[-5,-4,-3,1,2]=>[5,4,3,1,2]=>[3,1,4,5,2]=>[5]
[-5,-4,-3,1,-2]=>[5,4,3,1,2]=>[3,1,4,5,2]=>[5]
[-5,-4,-3,-1,2]=>[5,4,3,1,2]=>[3,1,4,5,2]=>[5]
[-5,-4,-3,-1,-2]=>[5,4,3,1,2]=>[3,1,4,5,2]=>[5]
[5,4,3,2,1]=>[5,4,3,2,1]=>[2,3,4,5,1]=>[5]
[5,4,3,2,-1]=>[5,4,3,2,1]=>[2,3,4,5,1]=>[5]
[5,4,3,-2,1]=>[5,4,3,2,1]=>[2,3,4,5,1]=>[5]
[5,4,3,-2,-1]=>[5,4,3,2,1]=>[2,3,4,5,1]=>[5]
[5,4,-3,2,1]=>[5,4,3,2,1]=>[2,3,4,5,1]=>[5]
[5,4,-3,2,-1]=>[5,4,3,2,1]=>[2,3,4,5,1]=>[5]
[5,4,-3,-2,1]=>[5,4,3,2,1]=>[2,3,4,5,1]=>[5]
[5,4,-3,-2,-1]=>[5,4,3,2,1]=>[2,3,4,5,1]=>[5]
[5,-4,3,2,1]=>[5,4,3,2,1]=>[2,3,4,5,1]=>[5]
[5,-4,3,2,-1]=>[5,4,3,2,1]=>[2,3,4,5,1]=>[5]
[5,-4,3,-2,1]=>[5,4,3,2,1]=>[2,3,4,5,1]=>[5]
[5,-4,3,-2,-1]=>[5,4,3,2,1]=>[2,3,4,5,1]=>[5]
[5,-4,-3,2,1]=>[5,4,3,2,1]=>[2,3,4,5,1]=>[5]
[5,-4,-3,2,-1]=>[5,4,3,2,1]=>[2,3,4,5,1]=>[5]
[5,-4,-3,-2,1]=>[5,4,3,2,1]=>[2,3,4,5,1]=>[5]
[5,-4,-3,-2,-1]=>[5,4,3,2,1]=>[2,3,4,5,1]=>[5]
[-5,4,3,2,1]=>[5,4,3,2,1]=>[2,3,4,5,1]=>[5]
[-5,4,3,2,-1]=>[5,4,3,2,1]=>[2,3,4,5,1]=>[5]
[-5,4,3,-2,1]=>[5,4,3,2,1]=>[2,3,4,5,1]=>[5]
[-5,4,3,-2,-1]=>[5,4,3,2,1]=>[2,3,4,5,1]=>[5]
[-5,4,-3,2,1]=>[5,4,3,2,1]=>[2,3,4,5,1]=>[5]
[-5,4,-3,2,-1]=>[5,4,3,2,1]=>[2,3,4,5,1]=>[5]
[-5,4,-3,-2,1]=>[5,4,3,2,1]=>[2,3,4,5,1]=>[5]
[-5,4,-3,-2,-1]=>[5,4,3,2,1]=>[2,3,4,5,1]=>[5]
[-5,-4,3,2,1]=>[5,4,3,2,1]=>[2,3,4,5,1]=>[5]
[-5,-4,3,2,-1]=>[5,4,3,2,1]=>[2,3,4,5,1]=>[5]
[-5,-4,3,-2,1]=>[5,4,3,2,1]=>[2,3,4,5,1]=>[5]
[-5,-4,3,-2,-1]=>[5,4,3,2,1]=>[2,3,4,5,1]=>[5]
[-5,-4,-3,2,1]=>[5,4,3,2,1]=>[2,3,4,5,1]=>[5]
[-5,-4,-3,2,-1]=>[5,4,3,2,1]=>[2,3,4,5,1]=>[5]
[-5,-4,-3,-2,1]=>[5,4,3,2,1]=>[2,3,4,5,1]=>[5]
[-5,-4,-3,-2,-1]=>[5,4,3,2,1]=>[2,3,4,5,1]=>[5]
[1,4,5,6,2,3]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]=>[3,1,1,1]
[5,6,7,8,3,4,1,2]=>[5,6,7,8,3,4,1,2]=>[4,1,8,3,5,6,7,2]=>[5,1,1,1]
[-6,-4,-2,1,3,5]=>[6,4,2,1,3,5]=>[2,4,1,6,3,5]=>[6]
[4,6,-5,-2,1,3]=>[4,6,5,2,1,3]=>[2,5,1,4,6,3]=>[5,1]
[2,6,-4,-3,1,5]=>[2,6,4,3,1,5]=>[3,2,4,6,1,5]=>[5,1]
[-6,-5,-3,2,-4,1]=>[6,5,3,2,4,1]=>[4,3,5,2,6,1]=>[6]
[2,-5,6,-4,1,3]=>[2,5,6,4,1,3]=>[4,2,1,6,5,3]=>[4,1,1]
[-6,-5,-4,3,1,2]=>[6,5,4,3,1,2]=>[3,1,4,5,6,2]=>[6]
[-6,-5,1,-4,2,3]=>[6,5,1,4,2,3]=>[5,4,2,1,6,3]=>[6]
[-6,-5,2,3,-4,1]=>[6,5,2,3,4,1]=>[4,5,2,3,6,1]=>[6]
[2,-5,-4,6,1,3]=>[2,5,4,6,1,3]=>[6,2,1,5,4,3]=>[3,2,1]
[5,6,-4,3,1,2]=>[5,6,4,3,1,2]=>[3,1,4,6,5,2]=>[5,1]
[3,2,-6,-5,-4,1]=>[3,2,6,5,4,1]=>[4,3,2,5,6,1]=>[4,2]
[5,6,2,3,-4,1]=>[5,6,2,3,4,1]=>[4,6,2,3,5,1]=>[5,1]
[-2,1,-4,3,-6,5]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[2,2,2]
[-2,1,4,-6,-5,3]=>[2,1,4,6,5,3]=>[2,1,5,4,6,3]=>[3,2,1]
[2,-4,-3,1,-6,5]=>[2,4,3,1,6,5]=>[3,2,4,1,6,5]=>[3,2,1]
[-5,3,6,1,2,4]=>[5,3,6,1,2,4]=>[6,1,5,2,3,4]=>[4,2]
[4,6,-3,1,2,5]=>[4,6,3,1,2,5]=>[3,1,6,4,2,5]=>[5,1]
[2,6,-5,1,3,4]=>[2,6,5,1,3,4]=>[5,2,1,3,6,4]=>[5,1]
[5,6,1,-3,2,4]=>[5,6,1,3,2,4]=>[6,3,1,2,5,4]=>[5,1]
[3,4,1,2,-6,5]=>[3,4,1,2,6,5]=>[4,1,3,2,6,5]=>[3,2,1]
[-2,-5,1,6,3,4]=>[2,5,1,6,3,4]=>[5,2,6,3,1,4]=>[3,2,1]
[-8,-6,-4,-2,1,3,5,7]=>[8,6,4,2,1,3,5,7]=>[2,4,1,6,3,8,5,7]=>[8]
[5,6,7,1,8,2,3,4]=>[5,6,7,1,8,2,3,4]=>[7,8,2,3,5,6,1,4]=>[4,2,1,1]
[-4,-8,-7,1,-6,2,3,5]=>[4,8,7,1,6,2,3,5]=>[7,6,2,4,3,1,8,5]=>[7,1]
[8,-7,-6,3,1,2,4,5]=>[8,7,6,3,1,2,4,5]=>[3,1,6,2,4,7,8,5]=>[8]
[2,-7,8,-6,1,3,4,5]=>[2,7,8,6,1,3,4,5]=>[6,2,1,3,4,8,7,5]=>[6,1,1]
[-7,-5,3,8,1,2,4,6]=>[7,5,3,8,1,2,4,6]=>[8,1,5,2,7,4,3,6]=>[5,3]
[5,-7,-4,8,1,2,3,6]=>[5,7,4,8,1,2,3,6]=>[8,1,2,7,5,3,4,6]=>[5,2,1]
[-2,1,-4,3,-6,5,-8,7]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>[2,2,2,2]
[3,4,1,2,-6,5,-8,7]=>[3,4,1,2,6,5,8,7]=>[4,1,3,2,6,5,8,7]=>[3,2,2,1]
[1,2,5,6,7,8,3,4]=>[1,2,5,6,7,8,3,4]=>[1,2,8,3,5,6,7,4]=>[3,1,1,1,1,1]
[1,6,7,-3,2,8,4,5]=>[1,6,7,3,2,8,4,5]=>[1,3,7,8,4,6,2,5]=>[3,3,1,1]
[-6,-2,1,3,7,8,4,5]=>[6,2,1,3,7,8,4,5]=>[2,6,1,8,4,3,7,5]=>[4,3,1]
[3,4,1,-7,2,8,5,6]=>[3,4,1,7,2,8,5,6]=>[4,7,3,1,8,5,2,6]=>[3,2,2,1]
[5,6,7,8,3,1,2,4]=>[5,6,7,8,3,1,2,4]=>[3,1,8,2,5,6,7,4]=>[5,1,1,1]
[5,6,7,8,4,1,2,3]=>[5,6,7,8,4,1,2,3]=>[4,1,2,8,5,6,7,3]=>[5,1,1,1]
[5,6,7,8,1,4,2,3]=>[5,6,7,8,1,4,2,3]=>[8,4,2,1,5,6,7,3]=>[5,1,1,1]
[-3,2,6,-5,1,4]=>[3,2,6,5,1,4]=>[5,3,2,1,6,4]=>[4,2]
[-6,2,4,-5,-3,1]=>[6,2,4,5,3,1]=>[3,5,6,1,4,2]=>[6]
[6,4,-5,-3,1,2]=>[6,4,5,3,1,2]=>[3,1,5,6,4,2]=>[6]
[3,-5,6,-4,1,2]=>[3,5,6,4,1,2]=>[4,1,3,6,5,2]=>[4,1,1]
[-3,2,8,-6,-5,1,4,7]=>[3,2,8,6,5,1,4,7]=>[5,3,2,1,6,8,4,7]=>[6,2]
[-8,-7,2,4,-5,-3,1,6]=>[8,7,2,4,5,3,1,6]=>[3,5,7,1,4,2,8,6]=>[8]
[5,-7,2,3,8,-4,1,6]=>[5,7,2,3,8,4,1,6]=>[4,8,1,7,5,2,3,6]=>[4,3,1]
[-8,-6,2,3,-5,-4,1,7]=>[8,6,2,3,5,4,1,7]=>[4,5,1,6,3,8,2,7]=>[8]
[2,-6,8,-5,-4,1,3,7]=>[2,6,8,5,4,1,3,7]=>[4,2,1,5,8,6,3,7]=>[6,1,1]
[3,-5,6,8,-4,1,2,7]=>[3,5,6,8,4,1,2,7]=>[4,1,3,8,5,6,2,7]=>[5,1,1,1]
[5,-7,-3,2,8,-4,1,6]=>[5,7,3,2,8,4,1,6]=>[4,3,8,7,5,2,1,6]=>[4,3,1]
[3,8,-7,-4,2,-6,1,5]=>[3,8,7,4,2,6,1,5]=>[6,4,3,7,1,2,8,5]=>[7,1]
[5,-7,-4,3,8,1,2,6]=>[5,7,4,3,8,1,2,6]=>[8,1,4,7,5,2,3,6]=>[4,3,1]
[5,-8,-7,3,-4,1,2,6]=>[5,8,7,3,4,1,2,6]=>[4,1,7,3,5,2,8,6]=>[7,1]
[-8,4,6,-7,-5,-2,1,3]=>[8,4,6,7,5,2,1,3]=>[2,5,1,7,8,3,6,4]=>[8]
[3,8,-7,6,-5,-4,1,2]=>[3,8,7,6,5,4,1,2]=>[4,1,3,5,6,7,8,2]=>[7,1]
[3,8,-7,-6,5,-4,1,2]=>[3,8,7,6,5,4,1,2]=>[4,1,3,5,6,7,8,2]=>[7,1]
[7,8,4,5,-6,-3,1,2]=>[7,8,4,5,6,3,1,2]=>[3,1,6,8,4,5,7,2]=>[7,1]
[-8,-7,2,4,-6,1,3,5]=>[8,7,2,4,6,1,3,5]=>[6,7,1,2,3,4,8,5]=>[8]
[-8,-7,-4,-3,-6,1,2,5]=>[8,7,4,3,6,1,2,5]=>[6,1,4,7,2,3,8,5]=>[8]
[6,7,8,1,3,-5,2,4]=>[6,7,8,1,3,5,2,4]=>[8,5,1,2,3,6,7,4]=>[6,1,1]
[6,7,8,2,3,4,-5,1]=>[6,7,8,2,3,4,5,1]=>[5,8,2,3,4,6,7,1]=>[6,1,1]
[6,7,8,-5,2,1,3,4]=>[6,7,8,5,2,1,3,4]=>[2,5,1,3,8,6,7,4]=>[6,1,1]
[5,-8,-7,2,-4,1,3,6]=>[5,8,7,2,4,1,3,6]=>[4,7,1,2,5,3,8,6]=>[7,1]
[-4,2,-7,8,-6,1,3,5]=>[4,2,7,8,6,1,3,5]=>[6,4,1,2,3,8,7,5]=>[5,2,1]
[3,-8,-7,2,-6,1,4,5]=>[3,8,7,2,6,1,4,5]=>[6,7,3,1,4,2,8,5]=>[7,1]
[-8,-7,-3,2,5,-6,1,4]=>[8,7,3,2,5,6,1,4]=>[6,3,7,1,2,5,8,4]=>[8]
[-8,-7,-5,-3,2,-6,1,4]=>[8,7,5,3,2,6,1,4]=>[6,3,5,1,7,2,8,4]=>[8]
[-5,8,-7,2,-6,-4,1,3]=>[5,8,7,2,6,4,1,3]=>[4,6,2,7,5,1,8,3]=>[7,1]
[-8,6,2,-7,-5,-4,1,3]=>[8,6,2,7,5,4,1,3]=>[4,5,1,7,6,8,2,3]=>[8]
[-8,-7,-5,-3,-6,1,2,4]=>[8,7,5,3,6,1,2,4]=>[6,1,5,2,7,3,8,4]=>[8]
[6,7,8,5,-4,1,2,3]=>[6,7,8,5,4,1,2,3]=>[4,1,2,5,8,6,7,3]=>[6,1,1]
[6,7,8,1,4,-5,2,3]=>[6,7,8,1,4,5,2,3]=>[8,5,2,1,4,6,7,3]=>[6,1,1]
[4,6,7,8,2,3,-5,1]=>[4,6,7,8,2,3,5,1]=>[5,8,2,4,3,6,7,1]=>[5,1,1,1]
[7,8,-6,-4,5,1,2,3]=>[7,8,6,4,5,1,2,3]=>[5,1,2,6,4,8,7,3]=>[7,1]
[8,-7,-6,3,5,1,2,4]=>[8,7,6,3,5,1,2,4]=>[5,1,6,2,3,7,8,4]=>[8]
[-8,-7,-5,2,-6,1,3,4]=>[8,7,5,2,6,1,3,4]=>[6,5,1,3,7,2,8,4]=>[8]
[-8,-7,-5,4,-6,-2,1,3]=>[8,7,5,4,6,2,1,3]=>[2,6,1,5,7,4,8,3]=>[8]
[-4,7,8,-6,3,-5,1,2]=>[4,7,8,6,3,5,1,2]=>[5,1,6,4,3,8,7,2]=>[6,1,1]
[-6,4,7,8,3,-5,1,2]=>[6,4,7,8,3,5,1,2]=>[5,1,8,6,3,4,7,2]=>[5,2,1]
[3,6,7,8,-4,2,-5,1]=>[3,6,7,8,4,2,5,1]=>[5,4,3,8,2,6,7,1]=>[5,1,1,1]
[-5,2,-3,6,1,4]=>[5,2,3,6,1,4]=>[6,5,2,1,3,4]=>[3,3]
[2,-6,4,-3,-5,1]=>[2,6,4,3,5,1]=>[5,2,4,6,3,1]=>[5,1]
[4,-6,1,-3,-5,2]=>[4,6,1,3,5,2]=>[6,5,1,4,3,2]=>[5,1]
[5,6,3,1,-4,2]=>[5,6,3,1,4,2]=>[3,6,4,2,5,1]=>[5,1]
[2,-4,-3,1,-6,5,-8,7]=>[2,4,3,1,6,5,8,7]=>[3,2,4,1,6,5,8,7]=>[3,2,2,1]
[-2,1,4,-6,-5,3,-8,7]=>[2,1,4,6,5,3,8,7]=>[2,1,5,4,6,3,8,7]=>[3,2,2,1]
[5,6,3,1,-4,2,-8,7]=>[5,6,3,1,4,2,8,7]=>[3,6,4,2,5,1,8,7]=>[5,2,1]
[3,-7,2,-5,-4,8,1,6]=>[3,7,2,5,4,8,1,6]=>[8,7,3,5,2,1,4,6]=>[4,3,1]
[3,2,-8,-5,6,-4,-7,1]=>[3,2,8,5,6,4,7,1]=>[7,3,2,6,8,5,4,1]=>[6,2]
[-4,6,7,3,1,8,2,5]=>[4,6,7,3,1,8,2,5]=>[3,7,8,4,1,6,2,5]=>[4,2,1,1]
[-2,1,-7,4,-5,8,3,6]=>[2,1,7,4,5,8,3,6]=>[2,1,8,7,4,3,5,6]=>[3,3,2]
[5,8,3,1,6,-4,-7,2]=>[5,8,3,1,6,4,7,2]=>[3,8,7,6,5,2,4,1]=>[7,1]
[3,6,-8,-5,1,-4,-7,2]=>[3,6,8,5,1,4,7,2]=>[5,8,3,2,7,6,4,1]=>[6,1,1]
[7,8,-4,3,-6,5,1,2]=>[7,8,4,3,6,5,1,2]=>[5,1,4,6,8,2,7,3]=>[7,1]
[1,6,7,8,3,4,-5,2]=>[1,6,7,8,3,4,5,2]=>[1,5,8,3,4,6,7,2]=>[5,1,1,1]
[-7,8,-3,1,4,5,-6,2]=>[7,8,3,1,4,5,6,2]=>[3,8,6,2,4,5,7,1]=>[7,1]
[7,8,1,4,-6,-3,2,5]=>[7,8,1,4,6,3,2,5]=>[8,3,6,1,2,4,7,5]=>[7,1]
[3,-7,8,-6,1,-4,2,5]=>[3,7,8,6,1,4,2,5]=>[6,4,3,1,2,8,7,5]=>[6,1,1]
[3,6,7,8,-5,1,2,4]=>[3,6,7,8,5,1,2,4]=>[5,1,3,2,8,6,7,4]=>[5,1,1,1]
[7,8,-3,-6,2,4,-5,1]=>[7,8,3,6,2,4,5,1]=>[5,6,8,2,4,3,7,1]=>[7,1]
[5,6,7,8,3,4,-2,1]=>[5,6,7,8,3,4,2,1]=>[2,4,8,3,5,6,7,1]=>[5,1,1,1]
[2,6,7,8,-5,3,1,4]=>[2,6,7,8,5,3,1,4]=>[3,2,5,1,8,6,7,4]=>[5,1,1,1]
[-7,2,-3,8,4,5,-6,1]=>[7,2,3,8,4,5,6,1]=>[6,7,2,8,4,5,3,1]=>[5,3]
[2,-4,-3,-7,1,8,5,6]=>[2,4,3,7,1,8,5,6]=>[7,2,4,3,8,5,1,6]=>[3,2,2,1]
[-2,1,-4,3,6,-8,-7,5]=>[2,1,4,3,6,8,7,5]=>[2,1,4,3,7,6,8,5]=>[3,2,2,1]
[3,4,1,2,6,-8,-7,5]=>[3,4,1,2,6,8,7,5]=>[4,1,3,2,7,6,8,5]=>[3,3,1,1]
[2,-4,-3,1,6,-8,-7,5]=>[2,4,3,1,6,8,7,5]=>[3,2,4,1,7,6,8,5]=>[3,3,1,1]
[5,2,-8,3,-7,-4,-6,1]=>[5,2,8,3,7,4,6,1]=>[6,5,8,7,2,4,3,1]=>[6,2]
[6,-8,1,-3,2,-5,-7,4]=>[6,8,1,3,2,5,7,4]=>[8,3,1,7,2,6,5,4]=>[7,1]
[7,8,5,1,-6,2,-4,3]=>[7,8,5,1,6,2,4,3]=>[5,8,4,1,6,2,7,3]=>[7,1]
[7,8,4,-6,2,3,-5,1]=>[7,8,4,6,2,3,5,1]=>[5,6,2,8,3,4,7,1]=>[7,1]
[2,8,-7,-6,-5,4,1,3]=>[2,8,7,6,5,4,1,3]=>[4,2,1,5,6,7,8,3]=>[7,1]
[7,8,5,-4,-6,1,2,3]=>[7,8,5,4,6,1,2,3]=>[6,1,2,5,8,4,7,3]=>[7,1]
[5,-8,1,4,-3,-7,-6,2]=>[5,8,1,4,3,7,6,2]=>[8,6,4,1,5,7,3,2]=>[7,1]
Map
permutation
Description
The permutation obtained by forgetting the colours.
Map
descent views to invisible inversion bottoms
Description
Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
- the multiset of descent views in $\pi$ is the multiset of invisible inversion bottoms in $\chi(\pi)$,
- the set of left-to-right maxima of $\pi$ is the set of maximal elements in the cycles of $\chi(\pi)$,
- the set of global ascent of $\pi$ is the set of global ascent of $\chi(\pi)$,
- the set of maximal elements in the decreasing runs of $\pi$ is the set of weak deficiency positions of $\chi(\pi)$, and
- the set of minimal elements in the decreasing runs of $\pi$ is the set of weak deficiency values of $\chi(\pi)$.
Map
cycle type
Description
The cycle type of a permutation as a partition.
searching the database
Sorry, this map was not found in the database.