Identifier
Mp00162:
Signed permutations
—inverse⟶
Signed permutations
Mp00163: Signed permutations —permutation⟶ Permutations
Mp00114: Permutations —connectivity set⟶ Binary words
Mp00163: Signed permutations —permutation⟶ Permutations
Mp00114: Permutations —connectivity set⟶ Binary words
Images
=>
[1]=>[1]=>[1]=>
[-1]=>[-1]=>[1]=>
[1,2]=>[1,2]=>[1,2]=>1
[1,-2]=>[1,-2]=>[1,2]=>1
[-1,2]=>[-1,2]=>[1,2]=>1
[-1,-2]=>[-1,-2]=>[1,2]=>1
[2,1]=>[2,1]=>[2,1]=>0
[2,-1]=>[-2,1]=>[2,1]=>0
[-2,1]=>[2,-1]=>[2,1]=>0
[-2,-1]=>[-2,-1]=>[2,1]=>0
[1,2,3]=>[1,2,3]=>[1,2,3]=>11
[1,2,-3]=>[1,2,-3]=>[1,2,3]=>11
[1,-2,3]=>[1,-2,3]=>[1,2,3]=>11
[1,-2,-3]=>[1,-2,-3]=>[1,2,3]=>11
[-1,2,3]=>[-1,2,3]=>[1,2,3]=>11
[-1,2,-3]=>[-1,2,-3]=>[1,2,3]=>11
[-1,-2,3]=>[-1,-2,3]=>[1,2,3]=>11
[-1,-2,-3]=>[-1,-2,-3]=>[1,2,3]=>11
[1,3,2]=>[1,3,2]=>[1,3,2]=>10
[1,3,-2]=>[1,-3,2]=>[1,3,2]=>10
[1,-3,2]=>[1,3,-2]=>[1,3,2]=>10
[1,-3,-2]=>[1,-3,-2]=>[1,3,2]=>10
[-1,3,2]=>[-1,3,2]=>[1,3,2]=>10
[-1,3,-2]=>[-1,-3,2]=>[1,3,2]=>10
[-1,-3,2]=>[-1,3,-2]=>[1,3,2]=>10
[-1,-3,-2]=>[-1,-3,-2]=>[1,3,2]=>10
[2,1,3]=>[2,1,3]=>[2,1,3]=>01
[2,1,-3]=>[2,1,-3]=>[2,1,3]=>01
[2,-1,3]=>[-2,1,3]=>[2,1,3]=>01
[2,-1,-3]=>[-2,1,-3]=>[2,1,3]=>01
[-2,1,3]=>[2,-1,3]=>[2,1,3]=>01
[-2,1,-3]=>[2,-1,-3]=>[2,1,3]=>01
[-2,-1,3]=>[-2,-1,3]=>[2,1,3]=>01
[-2,-1,-3]=>[-2,-1,-3]=>[2,1,3]=>01
[2,3,1]=>[3,1,2]=>[3,1,2]=>00
[2,3,-1]=>[-3,1,2]=>[3,1,2]=>00
[2,-3,1]=>[3,1,-2]=>[3,1,2]=>00
[2,-3,-1]=>[-3,1,-2]=>[3,1,2]=>00
[-2,3,1]=>[3,-1,2]=>[3,1,2]=>00
[-2,3,-1]=>[-3,-1,2]=>[3,1,2]=>00
[-2,-3,1]=>[3,-1,-2]=>[3,1,2]=>00
[-2,-3,-1]=>[-3,-1,-2]=>[3,1,2]=>00
[3,1,2]=>[2,3,1]=>[2,3,1]=>00
[3,1,-2]=>[2,-3,1]=>[2,3,1]=>00
[3,-1,2]=>[-2,3,1]=>[2,3,1]=>00
[3,-1,-2]=>[-2,-3,1]=>[2,3,1]=>00
[-3,1,2]=>[2,3,-1]=>[2,3,1]=>00
[-3,1,-2]=>[2,-3,-1]=>[2,3,1]=>00
[-3,-1,2]=>[-2,3,-1]=>[2,3,1]=>00
[-3,-1,-2]=>[-2,-3,-1]=>[2,3,1]=>00
[3,2,1]=>[3,2,1]=>[3,2,1]=>00
[3,2,-1]=>[-3,2,1]=>[3,2,1]=>00
[3,-2,1]=>[3,-2,1]=>[3,2,1]=>00
[3,-2,-1]=>[-3,-2,1]=>[3,2,1]=>00
[-3,2,1]=>[3,2,-1]=>[3,2,1]=>00
[-3,2,-1]=>[-3,2,-1]=>[3,2,1]=>00
[-3,-2,1]=>[3,-2,-1]=>[3,2,1]=>00
[-3,-2,-1]=>[-3,-2,-1]=>[3,2,1]=>00
[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>111
[1,2,3,-4]=>[1,2,3,-4]=>[1,2,3,4]=>111
[1,2,-3,4]=>[1,2,-3,4]=>[1,2,3,4]=>111
[1,2,-3,-4]=>[1,2,-3,-4]=>[1,2,3,4]=>111
[1,-2,3,4]=>[1,-2,3,4]=>[1,2,3,4]=>111
[1,-2,3,-4]=>[1,-2,3,-4]=>[1,2,3,4]=>111
[1,-2,-3,4]=>[1,-2,-3,4]=>[1,2,3,4]=>111
[1,-2,-3,-4]=>[1,-2,-3,-4]=>[1,2,3,4]=>111
[-1,2,3,4]=>[-1,2,3,4]=>[1,2,3,4]=>111
[-1,2,3,-4]=>[-1,2,3,-4]=>[1,2,3,4]=>111
[-1,2,-3,4]=>[-1,2,-3,4]=>[1,2,3,4]=>111
[-1,2,-3,-4]=>[-1,2,-3,-4]=>[1,2,3,4]=>111
[-1,-2,3,4]=>[-1,-2,3,4]=>[1,2,3,4]=>111
[-1,-2,3,-4]=>[-1,-2,3,-4]=>[1,2,3,4]=>111
[-1,-2,-3,4]=>[-1,-2,-3,4]=>[1,2,3,4]=>111
[-1,-2,-3,-4]=>[-1,-2,-3,-4]=>[1,2,3,4]=>111
[1,2,4,3]=>[1,2,4,3]=>[1,2,4,3]=>110
[1,2,4,-3]=>[1,2,-4,3]=>[1,2,4,3]=>110
[1,2,-4,3]=>[1,2,4,-3]=>[1,2,4,3]=>110
[1,2,-4,-3]=>[1,2,-4,-3]=>[1,2,4,3]=>110
[1,-2,4,3]=>[1,-2,4,3]=>[1,2,4,3]=>110
[1,-2,4,-3]=>[1,-2,-4,3]=>[1,2,4,3]=>110
[1,-2,-4,3]=>[1,-2,4,-3]=>[1,2,4,3]=>110
[1,-2,-4,-3]=>[1,-2,-4,-3]=>[1,2,4,3]=>110
[-1,2,4,3]=>[-1,2,4,3]=>[1,2,4,3]=>110
[-1,2,4,-3]=>[-1,2,-4,3]=>[1,2,4,3]=>110
[-1,2,-4,3]=>[-1,2,4,-3]=>[1,2,4,3]=>110
[-1,2,-4,-3]=>[-1,2,-4,-3]=>[1,2,4,3]=>110
[-1,-2,4,3]=>[-1,-2,4,3]=>[1,2,4,3]=>110
[-1,-2,4,-3]=>[-1,-2,-4,3]=>[1,2,4,3]=>110
[-1,-2,-4,3]=>[-1,-2,4,-3]=>[1,2,4,3]=>110
[-1,-2,-4,-3]=>[-1,-2,-4,-3]=>[1,2,4,3]=>110
[1,3,2,4]=>[1,3,2,4]=>[1,3,2,4]=>101
[1,3,2,-4]=>[1,3,2,-4]=>[1,3,2,4]=>101
[1,3,-2,4]=>[1,-3,2,4]=>[1,3,2,4]=>101
[1,3,-2,-4]=>[1,-3,2,-4]=>[1,3,2,4]=>101
[1,-3,2,4]=>[1,3,-2,4]=>[1,3,2,4]=>101
[1,-3,2,-4]=>[1,3,-2,-4]=>[1,3,2,4]=>101
[1,-3,-2,4]=>[1,-3,-2,4]=>[1,3,2,4]=>101
[1,-3,-2,-4]=>[1,-3,-2,-4]=>[1,3,2,4]=>101
[-1,3,2,4]=>[-1,3,2,4]=>[1,3,2,4]=>101
[-1,3,2,-4]=>[-1,3,2,-4]=>[1,3,2,4]=>101
[-1,3,-2,4]=>[-1,-3,2,4]=>[1,3,2,4]=>101
[-1,3,-2,-4]=>[-1,-3,2,-4]=>[1,3,2,4]=>101
[-1,-3,2,4]=>[-1,3,-2,4]=>[1,3,2,4]=>101
[-1,-3,2,-4]=>[-1,3,-2,-4]=>[1,3,2,4]=>101
[-1,-3,-2,4]=>[-1,-3,-2,4]=>[1,3,2,4]=>101
[-1,-3,-2,-4]=>[-1,-3,-2,-4]=>[1,3,2,4]=>101
[1,3,4,2]=>[1,4,2,3]=>[1,4,2,3]=>100
[1,3,4,-2]=>[1,-4,2,3]=>[1,4,2,3]=>100
[1,3,-4,2]=>[1,4,2,-3]=>[1,4,2,3]=>100
[1,3,-4,-2]=>[1,-4,2,-3]=>[1,4,2,3]=>100
[1,-3,4,2]=>[1,4,-2,3]=>[1,4,2,3]=>100
[1,-3,4,-2]=>[1,-4,-2,3]=>[1,4,2,3]=>100
[1,-3,-4,2]=>[1,4,-2,-3]=>[1,4,2,3]=>100
[1,-3,-4,-2]=>[1,-4,-2,-3]=>[1,4,2,3]=>100
[-1,3,4,2]=>[-1,4,2,3]=>[1,4,2,3]=>100
[-1,3,4,-2]=>[-1,-4,2,3]=>[1,4,2,3]=>100
[-1,3,-4,2]=>[-1,4,2,-3]=>[1,4,2,3]=>100
[-1,3,-4,-2]=>[-1,-4,2,-3]=>[1,4,2,3]=>100
[-1,-3,4,2]=>[-1,4,-2,3]=>[1,4,2,3]=>100
[-1,-3,4,-2]=>[-1,-4,-2,3]=>[1,4,2,3]=>100
[-1,-3,-4,2]=>[-1,4,-2,-3]=>[1,4,2,3]=>100
[-1,-3,-4,-2]=>[-1,-4,-2,-3]=>[1,4,2,3]=>100
[1,4,2,3]=>[1,3,4,2]=>[1,3,4,2]=>100
[1,4,2,-3]=>[1,3,-4,2]=>[1,3,4,2]=>100
[1,4,-2,3]=>[1,-3,4,2]=>[1,3,4,2]=>100
[1,4,-2,-3]=>[1,-3,-4,2]=>[1,3,4,2]=>100
[1,-4,2,3]=>[1,3,4,-2]=>[1,3,4,2]=>100
[1,-4,2,-3]=>[1,3,-4,-2]=>[1,3,4,2]=>100
[1,-4,-2,3]=>[1,-3,4,-2]=>[1,3,4,2]=>100
[1,-4,-2,-3]=>[1,-3,-4,-2]=>[1,3,4,2]=>100
[-1,4,2,3]=>[-1,3,4,2]=>[1,3,4,2]=>100
[-1,4,2,-3]=>[-1,3,-4,2]=>[1,3,4,2]=>100
[-1,4,-2,3]=>[-1,-3,4,2]=>[1,3,4,2]=>100
[-1,4,-2,-3]=>[-1,-3,-4,2]=>[1,3,4,2]=>100
[-1,-4,2,3]=>[-1,3,4,-2]=>[1,3,4,2]=>100
[-1,-4,2,-3]=>[-1,3,-4,-2]=>[1,3,4,2]=>100
[-1,-4,-2,3]=>[-1,-3,4,-2]=>[1,3,4,2]=>100
[-1,-4,-2,-3]=>[-1,-3,-4,-2]=>[1,3,4,2]=>100
[1,4,3,2]=>[1,4,3,2]=>[1,4,3,2]=>100
[1,4,3,-2]=>[1,-4,3,2]=>[1,4,3,2]=>100
[1,4,-3,2]=>[1,4,-3,2]=>[1,4,3,2]=>100
[1,4,-3,-2]=>[1,-4,-3,2]=>[1,4,3,2]=>100
[1,-4,3,2]=>[1,4,3,-2]=>[1,4,3,2]=>100
[1,-4,3,-2]=>[1,-4,3,-2]=>[1,4,3,2]=>100
[1,-4,-3,2]=>[1,4,-3,-2]=>[1,4,3,2]=>100
[1,-4,-3,-2]=>[1,-4,-3,-2]=>[1,4,3,2]=>100
[-1,4,3,2]=>[-1,4,3,2]=>[1,4,3,2]=>100
[-1,4,3,-2]=>[-1,-4,3,2]=>[1,4,3,2]=>100
[-1,4,-3,2]=>[-1,4,-3,2]=>[1,4,3,2]=>100
[-1,4,-3,-2]=>[-1,-4,-3,2]=>[1,4,3,2]=>100
[-1,-4,3,2]=>[-1,4,3,-2]=>[1,4,3,2]=>100
[-1,-4,3,-2]=>[-1,-4,3,-2]=>[1,4,3,2]=>100
[-1,-4,-3,2]=>[-1,4,-3,-2]=>[1,4,3,2]=>100
[-1,-4,-3,-2]=>[-1,-4,-3,-2]=>[1,4,3,2]=>100
[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>011
[2,1,3,-4]=>[2,1,3,-4]=>[2,1,3,4]=>011
[2,1,-3,4]=>[2,1,-3,4]=>[2,1,3,4]=>011
[2,1,-3,-4]=>[2,1,-3,-4]=>[2,1,3,4]=>011
[2,-1,3,4]=>[-2,1,3,4]=>[2,1,3,4]=>011
[2,-1,3,-4]=>[-2,1,3,-4]=>[2,1,3,4]=>011
[2,-1,-3,4]=>[-2,1,-3,4]=>[2,1,3,4]=>011
[2,-1,-3,-4]=>[-2,1,-3,-4]=>[2,1,3,4]=>011
[-2,1,3,4]=>[2,-1,3,4]=>[2,1,3,4]=>011
[-2,1,3,-4]=>[2,-1,3,-4]=>[2,1,3,4]=>011
[-2,1,-3,4]=>[2,-1,-3,4]=>[2,1,3,4]=>011
[-2,1,-3,-4]=>[2,-1,-3,-4]=>[2,1,3,4]=>011
[-2,-1,3,4]=>[-2,-1,3,4]=>[2,1,3,4]=>011
[-2,-1,3,-4]=>[-2,-1,3,-4]=>[2,1,3,4]=>011
[-2,-1,-3,4]=>[-2,-1,-3,4]=>[2,1,3,4]=>011
[-2,-1,-3,-4]=>[-2,-1,-3,-4]=>[2,1,3,4]=>011
[2,1,4,3]=>[2,1,4,3]=>[2,1,4,3]=>010
[2,1,4,-3]=>[2,1,-4,3]=>[2,1,4,3]=>010
[2,1,-4,3]=>[2,1,4,-3]=>[2,1,4,3]=>010
[2,1,-4,-3]=>[2,1,-4,-3]=>[2,1,4,3]=>010
[2,-1,4,3]=>[-2,1,4,3]=>[2,1,4,3]=>010
[2,-1,4,-3]=>[-2,1,-4,3]=>[2,1,4,3]=>010
[2,-1,-4,3]=>[-2,1,4,-3]=>[2,1,4,3]=>010
[2,-1,-4,-3]=>[-2,1,-4,-3]=>[2,1,4,3]=>010
[-2,1,4,3]=>[2,-1,4,3]=>[2,1,4,3]=>010
[-2,1,4,-3]=>[2,-1,-4,3]=>[2,1,4,3]=>010
[-2,1,-4,3]=>[2,-1,4,-3]=>[2,1,4,3]=>010
[-2,1,-4,-3]=>[2,-1,-4,-3]=>[2,1,4,3]=>010
[-2,-1,4,3]=>[-2,-1,4,3]=>[2,1,4,3]=>010
[-2,-1,4,-3]=>[-2,-1,-4,3]=>[2,1,4,3]=>010
[-2,-1,-4,3]=>[-2,-1,4,-3]=>[2,1,4,3]=>010
[-2,-1,-4,-3]=>[-2,-1,-4,-3]=>[2,1,4,3]=>010
[2,3,1,4]=>[3,1,2,4]=>[3,1,2,4]=>001
[2,3,1,-4]=>[3,1,2,-4]=>[3,1,2,4]=>001
[2,3,-1,4]=>[-3,1,2,4]=>[3,1,2,4]=>001
[2,3,-1,-4]=>[-3,1,2,-4]=>[3,1,2,4]=>001
[2,-3,1,4]=>[3,1,-2,4]=>[3,1,2,4]=>001
[2,-3,1,-4]=>[3,1,-2,-4]=>[3,1,2,4]=>001
[2,-3,-1,4]=>[-3,1,-2,4]=>[3,1,2,4]=>001
[2,-3,-1,-4]=>[-3,1,-2,-4]=>[3,1,2,4]=>001
[-2,3,1,4]=>[3,-1,2,4]=>[3,1,2,4]=>001
[-2,3,1,-4]=>[3,-1,2,-4]=>[3,1,2,4]=>001
[-2,3,-1,4]=>[-3,-1,2,4]=>[3,1,2,4]=>001
[-2,3,-1,-4]=>[-3,-1,2,-4]=>[3,1,2,4]=>001
[-2,-3,1,4]=>[3,-1,-2,4]=>[3,1,2,4]=>001
[-2,-3,1,-4]=>[3,-1,-2,-4]=>[3,1,2,4]=>001
[-2,-3,-1,4]=>[-3,-1,-2,4]=>[3,1,2,4]=>001
[-2,-3,-1,-4]=>[-3,-1,-2,-4]=>[3,1,2,4]=>001
[2,3,4,1]=>[4,1,2,3]=>[4,1,2,3]=>000
[2,3,4,-1]=>[-4,1,2,3]=>[4,1,2,3]=>000
[2,3,-4,1]=>[4,1,2,-3]=>[4,1,2,3]=>000
[2,3,-4,-1]=>[-4,1,2,-3]=>[4,1,2,3]=>000
[2,-3,4,1]=>[4,1,-2,3]=>[4,1,2,3]=>000
[2,-3,4,-1]=>[-4,1,-2,3]=>[4,1,2,3]=>000
[2,-3,-4,1]=>[4,1,-2,-3]=>[4,1,2,3]=>000
[2,-3,-4,-1]=>[-4,1,-2,-3]=>[4,1,2,3]=>000
[-2,3,4,1]=>[4,-1,2,3]=>[4,1,2,3]=>000
[-2,3,4,-1]=>[-4,-1,2,3]=>[4,1,2,3]=>000
[-2,3,-4,1]=>[4,-1,2,-3]=>[4,1,2,3]=>000
[-2,3,-4,-1]=>[-4,-1,2,-3]=>[4,1,2,3]=>000
[-2,-3,4,1]=>[4,-1,-2,3]=>[4,1,2,3]=>000
[-2,-3,4,-1]=>[-4,-1,-2,3]=>[4,1,2,3]=>000
[-2,-3,-4,1]=>[4,-1,-2,-3]=>[4,1,2,3]=>000
[-2,-3,-4,-1]=>[-4,-1,-2,-3]=>[4,1,2,3]=>000
[2,4,1,3]=>[3,1,4,2]=>[3,1,4,2]=>000
[2,4,1,-3]=>[3,1,-4,2]=>[3,1,4,2]=>000
[2,4,-1,3]=>[-3,1,4,2]=>[3,1,4,2]=>000
[2,4,-1,-3]=>[-3,1,-4,2]=>[3,1,4,2]=>000
[2,-4,1,3]=>[3,1,4,-2]=>[3,1,4,2]=>000
[2,-4,1,-3]=>[3,1,-4,-2]=>[3,1,4,2]=>000
[2,-4,-1,3]=>[-3,1,4,-2]=>[3,1,4,2]=>000
[2,-4,-1,-3]=>[-3,1,-4,-2]=>[3,1,4,2]=>000
[-2,4,1,3]=>[3,-1,4,2]=>[3,1,4,2]=>000
[-2,4,1,-3]=>[3,-1,-4,2]=>[3,1,4,2]=>000
[-2,4,-1,3]=>[-3,-1,4,2]=>[3,1,4,2]=>000
[-2,4,-1,-3]=>[-3,-1,-4,2]=>[3,1,4,2]=>000
[-2,-4,1,3]=>[3,-1,4,-2]=>[3,1,4,2]=>000
[-2,-4,1,-3]=>[3,-1,-4,-2]=>[3,1,4,2]=>000
[-2,-4,-1,3]=>[-3,-1,4,-2]=>[3,1,4,2]=>000
[-2,-4,-1,-3]=>[-3,-1,-4,-2]=>[3,1,4,2]=>000
[2,4,3,1]=>[4,1,3,2]=>[4,1,3,2]=>000
[2,4,3,-1]=>[-4,1,3,2]=>[4,1,3,2]=>000
[2,4,-3,1]=>[4,1,-3,2]=>[4,1,3,2]=>000
[2,4,-3,-1]=>[-4,1,-3,2]=>[4,1,3,2]=>000
[2,-4,3,1]=>[4,1,3,-2]=>[4,1,3,2]=>000
[2,-4,3,-1]=>[-4,1,3,-2]=>[4,1,3,2]=>000
[2,-4,-3,1]=>[4,1,-3,-2]=>[4,1,3,2]=>000
[2,-4,-3,-1]=>[-4,1,-3,-2]=>[4,1,3,2]=>000
[-2,4,3,1]=>[4,-1,3,2]=>[4,1,3,2]=>000
[-2,4,3,-1]=>[-4,-1,3,2]=>[4,1,3,2]=>000
[-2,4,-3,1]=>[4,-1,-3,2]=>[4,1,3,2]=>000
[-2,4,-3,-1]=>[-4,-1,-3,2]=>[4,1,3,2]=>000
[-2,-4,3,1]=>[4,-1,3,-2]=>[4,1,3,2]=>000
[-2,-4,3,-1]=>[-4,-1,3,-2]=>[4,1,3,2]=>000
[-2,-4,-3,1]=>[4,-1,-3,-2]=>[4,1,3,2]=>000
[-2,-4,-3,-1]=>[-4,-1,-3,-2]=>[4,1,3,2]=>000
[3,1,2,4]=>[2,3,1,4]=>[2,3,1,4]=>001
[3,1,2,-4]=>[2,3,1,-4]=>[2,3,1,4]=>001
[3,1,-2,4]=>[2,-3,1,4]=>[2,3,1,4]=>001
[3,1,-2,-4]=>[2,-3,1,-4]=>[2,3,1,4]=>001
[3,-1,2,4]=>[-2,3,1,4]=>[2,3,1,4]=>001
[3,-1,2,-4]=>[-2,3,1,-4]=>[2,3,1,4]=>001
[3,-1,-2,4]=>[-2,-3,1,4]=>[2,3,1,4]=>001
[3,-1,-2,-4]=>[-2,-3,1,-4]=>[2,3,1,4]=>001
[-3,1,2,4]=>[2,3,-1,4]=>[2,3,1,4]=>001
[-3,1,2,-4]=>[2,3,-1,-4]=>[2,3,1,4]=>001
[-3,1,-2,4]=>[2,-3,-1,4]=>[2,3,1,4]=>001
[-3,1,-2,-4]=>[2,-3,-1,-4]=>[2,3,1,4]=>001
[-3,-1,2,4]=>[-2,3,-1,4]=>[2,3,1,4]=>001
[-3,-1,2,-4]=>[-2,3,-1,-4]=>[2,3,1,4]=>001
[-3,-1,-2,4]=>[-2,-3,-1,4]=>[2,3,1,4]=>001
[-3,-1,-2,-4]=>[-2,-3,-1,-4]=>[2,3,1,4]=>001
[3,1,4,2]=>[2,4,1,3]=>[2,4,1,3]=>000
[3,1,4,-2]=>[2,-4,1,3]=>[2,4,1,3]=>000
[3,1,-4,2]=>[2,4,1,-3]=>[2,4,1,3]=>000
[3,1,-4,-2]=>[2,-4,1,-3]=>[2,4,1,3]=>000
[3,-1,4,2]=>[-2,4,1,3]=>[2,4,1,3]=>000
[3,-1,4,-2]=>[-2,-4,1,3]=>[2,4,1,3]=>000
[3,-1,-4,2]=>[-2,4,1,-3]=>[2,4,1,3]=>000
[3,-1,-4,-2]=>[-2,-4,1,-3]=>[2,4,1,3]=>000
[-3,1,4,2]=>[2,4,-1,3]=>[2,4,1,3]=>000
[-3,1,4,-2]=>[2,-4,-1,3]=>[2,4,1,3]=>000
[-3,1,-4,2]=>[2,4,-1,-3]=>[2,4,1,3]=>000
[-3,1,-4,-2]=>[2,-4,-1,-3]=>[2,4,1,3]=>000
[-3,-1,4,2]=>[-2,4,-1,3]=>[2,4,1,3]=>000
[-3,-1,4,-2]=>[-2,-4,-1,3]=>[2,4,1,3]=>000
[-3,-1,-4,2]=>[-2,4,-1,-3]=>[2,4,1,3]=>000
[-3,-1,-4,-2]=>[-2,-4,-1,-3]=>[2,4,1,3]=>000
[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>001
[3,2,1,-4]=>[3,2,1,-4]=>[3,2,1,4]=>001
[3,2,-1,4]=>[-3,2,1,4]=>[3,2,1,4]=>001
[3,2,-1,-4]=>[-3,2,1,-4]=>[3,2,1,4]=>001
[3,-2,1,4]=>[3,-2,1,4]=>[3,2,1,4]=>001
[3,-2,1,-4]=>[3,-2,1,-4]=>[3,2,1,4]=>001
[3,-2,-1,4]=>[-3,-2,1,4]=>[3,2,1,4]=>001
[3,-2,-1,-4]=>[-3,-2,1,-4]=>[3,2,1,4]=>001
[-3,2,1,4]=>[3,2,-1,4]=>[3,2,1,4]=>001
[-3,2,1,-4]=>[3,2,-1,-4]=>[3,2,1,4]=>001
[-3,2,-1,4]=>[-3,2,-1,4]=>[3,2,1,4]=>001
[-3,2,-1,-4]=>[-3,2,-1,-4]=>[3,2,1,4]=>001
[-3,-2,1,4]=>[3,-2,-1,4]=>[3,2,1,4]=>001
[-3,-2,1,-4]=>[3,-2,-1,-4]=>[3,2,1,4]=>001
[-3,-2,-1,4]=>[-3,-2,-1,4]=>[3,2,1,4]=>001
[-3,-2,-1,-4]=>[-3,-2,-1,-4]=>[3,2,1,4]=>001
[3,2,4,1]=>[4,2,1,3]=>[4,2,1,3]=>000
[3,2,4,-1]=>[-4,2,1,3]=>[4,2,1,3]=>000
[3,2,-4,1]=>[4,2,1,-3]=>[4,2,1,3]=>000
[3,2,-4,-1]=>[-4,2,1,-3]=>[4,2,1,3]=>000
[3,-2,4,1]=>[4,-2,1,3]=>[4,2,1,3]=>000
[3,-2,4,-1]=>[-4,-2,1,3]=>[4,2,1,3]=>000
[3,-2,-4,1]=>[4,-2,1,-3]=>[4,2,1,3]=>000
[3,-2,-4,-1]=>[-4,-2,1,-3]=>[4,2,1,3]=>000
[-3,2,4,1]=>[4,2,-1,3]=>[4,2,1,3]=>000
[-3,2,4,-1]=>[-4,2,-1,3]=>[4,2,1,3]=>000
[-3,2,-4,1]=>[4,2,-1,-3]=>[4,2,1,3]=>000
[-3,2,-4,-1]=>[-4,2,-1,-3]=>[4,2,1,3]=>000
[-3,-2,4,1]=>[4,-2,-1,3]=>[4,2,1,3]=>000
[-3,-2,4,-1]=>[-4,-2,-1,3]=>[4,2,1,3]=>000
[-3,-2,-4,1]=>[4,-2,-1,-3]=>[4,2,1,3]=>000
[-3,-2,-4,-1]=>[-4,-2,-1,-3]=>[4,2,1,3]=>000
[3,4,1,2]=>[3,4,1,2]=>[3,4,1,2]=>000
[3,4,1,-2]=>[3,-4,1,2]=>[3,4,1,2]=>000
[3,4,-1,2]=>[-3,4,1,2]=>[3,4,1,2]=>000
[3,4,-1,-2]=>[-3,-4,1,2]=>[3,4,1,2]=>000
[3,-4,1,2]=>[3,4,1,-2]=>[3,4,1,2]=>000
[3,-4,1,-2]=>[3,-4,1,-2]=>[3,4,1,2]=>000
[3,-4,-1,2]=>[-3,4,1,-2]=>[3,4,1,2]=>000
[3,-4,-1,-2]=>[-3,-4,1,-2]=>[3,4,1,2]=>000
[-3,4,1,2]=>[3,4,-1,2]=>[3,4,1,2]=>000
[-3,4,1,-2]=>[3,-4,-1,2]=>[3,4,1,2]=>000
[-3,4,-1,2]=>[-3,4,-1,2]=>[3,4,1,2]=>000
[-3,4,-1,-2]=>[-3,-4,-1,2]=>[3,4,1,2]=>000
[-3,-4,1,2]=>[3,4,-1,-2]=>[3,4,1,2]=>000
[-3,-4,1,-2]=>[3,-4,-1,-2]=>[3,4,1,2]=>000
[-3,-4,-1,2]=>[-3,4,-1,-2]=>[3,4,1,2]=>000
[-3,-4,-1,-2]=>[-3,-4,-1,-2]=>[3,4,1,2]=>000
[3,4,2,1]=>[4,3,1,2]=>[4,3,1,2]=>000
[3,4,2,-1]=>[-4,3,1,2]=>[4,3,1,2]=>000
[3,4,-2,1]=>[4,-3,1,2]=>[4,3,1,2]=>000
[3,4,-2,-1]=>[-4,-3,1,2]=>[4,3,1,2]=>000
[3,-4,2,1]=>[4,3,1,-2]=>[4,3,1,2]=>000
[3,-4,2,-1]=>[-4,3,1,-2]=>[4,3,1,2]=>000
[3,-4,-2,1]=>[4,-3,1,-2]=>[4,3,1,2]=>000
[3,-4,-2,-1]=>[-4,-3,1,-2]=>[4,3,1,2]=>000
[-3,4,2,1]=>[4,3,-1,2]=>[4,3,1,2]=>000
[-3,4,2,-1]=>[-4,3,-1,2]=>[4,3,1,2]=>000
[-3,4,-2,1]=>[4,-3,-1,2]=>[4,3,1,2]=>000
[-3,4,-2,-1]=>[-4,-3,-1,2]=>[4,3,1,2]=>000
[-3,-4,2,1]=>[4,3,-1,-2]=>[4,3,1,2]=>000
[-3,-4,2,-1]=>[-4,3,-1,-2]=>[4,3,1,2]=>000
[-3,-4,-2,1]=>[4,-3,-1,-2]=>[4,3,1,2]=>000
[-3,-4,-2,-1]=>[-4,-3,-1,-2]=>[4,3,1,2]=>000
[4,1,2,3]=>[2,3,4,1]=>[2,3,4,1]=>000
[4,1,2,-3]=>[2,3,-4,1]=>[2,3,4,1]=>000
[4,1,-2,3]=>[2,-3,4,1]=>[2,3,4,1]=>000
[4,1,-2,-3]=>[2,-3,-4,1]=>[2,3,4,1]=>000
[4,-1,2,3]=>[-2,3,4,1]=>[2,3,4,1]=>000
[4,-1,2,-3]=>[-2,3,-4,1]=>[2,3,4,1]=>000
[4,-1,-2,3]=>[-2,-3,4,1]=>[2,3,4,1]=>000
[4,-1,-2,-3]=>[-2,-3,-4,1]=>[2,3,4,1]=>000
[-4,1,2,3]=>[2,3,4,-1]=>[2,3,4,1]=>000
[-4,1,2,-3]=>[2,3,-4,-1]=>[2,3,4,1]=>000
[-4,1,-2,3]=>[2,-3,4,-1]=>[2,3,4,1]=>000
[-4,1,-2,-3]=>[2,-3,-4,-1]=>[2,3,4,1]=>000
[-4,-1,2,3]=>[-2,3,4,-1]=>[2,3,4,1]=>000
[-4,-1,2,-3]=>[-2,3,-4,-1]=>[2,3,4,1]=>000
[-4,-1,-2,3]=>[-2,-3,4,-1]=>[2,3,4,1]=>000
[-4,-1,-2,-3]=>[-2,-3,-4,-1]=>[2,3,4,1]=>000
[4,1,3,2]=>[2,4,3,1]=>[2,4,3,1]=>000
[4,1,3,-2]=>[2,-4,3,1]=>[2,4,3,1]=>000
[4,1,-3,2]=>[2,4,-3,1]=>[2,4,3,1]=>000
[4,1,-3,-2]=>[2,-4,-3,1]=>[2,4,3,1]=>000
[4,-1,3,2]=>[-2,4,3,1]=>[2,4,3,1]=>000
[4,-1,3,-2]=>[-2,-4,3,1]=>[2,4,3,1]=>000
[4,-1,-3,2]=>[-2,4,-3,1]=>[2,4,3,1]=>000
[4,-1,-3,-2]=>[-2,-4,-3,1]=>[2,4,3,1]=>000
[-4,1,3,2]=>[2,4,3,-1]=>[2,4,3,1]=>000
[-4,1,3,-2]=>[2,-4,3,-1]=>[2,4,3,1]=>000
[-4,1,-3,2]=>[2,4,-3,-1]=>[2,4,3,1]=>000
[-4,1,-3,-2]=>[2,-4,-3,-1]=>[2,4,3,1]=>000
[-4,-1,3,2]=>[-2,4,3,-1]=>[2,4,3,1]=>000
[-4,-1,3,-2]=>[-2,-4,3,-1]=>[2,4,3,1]=>000
[-4,-1,-3,2]=>[-2,4,-3,-1]=>[2,4,3,1]=>000
[-4,-1,-3,-2]=>[-2,-4,-3,-1]=>[2,4,3,1]=>000
[4,2,1,3]=>[3,2,4,1]=>[3,2,4,1]=>000
[4,2,1,-3]=>[3,2,-4,1]=>[3,2,4,1]=>000
[4,2,-1,3]=>[-3,2,4,1]=>[3,2,4,1]=>000
[4,2,-1,-3]=>[-3,2,-4,1]=>[3,2,4,1]=>000
[4,-2,1,3]=>[3,-2,4,1]=>[3,2,4,1]=>000
[4,-2,1,-3]=>[3,-2,-4,1]=>[3,2,4,1]=>000
[4,-2,-1,3]=>[-3,-2,4,1]=>[3,2,4,1]=>000
[4,-2,-1,-3]=>[-3,-2,-4,1]=>[3,2,4,1]=>000
[-4,2,1,3]=>[3,2,4,-1]=>[3,2,4,1]=>000
[-4,2,1,-3]=>[3,2,-4,-1]=>[3,2,4,1]=>000
[-4,2,-1,3]=>[-3,2,4,-1]=>[3,2,4,1]=>000
[-4,2,-1,-3]=>[-3,2,-4,-1]=>[3,2,4,1]=>000
[-4,-2,1,3]=>[3,-2,4,-1]=>[3,2,4,1]=>000
[-4,-2,1,-3]=>[3,-2,-4,-1]=>[3,2,4,1]=>000
[-4,-2,-1,3]=>[-3,-2,4,-1]=>[3,2,4,1]=>000
[-4,-2,-1,-3]=>[-3,-2,-4,-1]=>[3,2,4,1]=>000
[4,2,3,1]=>[4,2,3,1]=>[4,2,3,1]=>000
[4,2,3,-1]=>[-4,2,3,1]=>[4,2,3,1]=>000
[4,2,-3,1]=>[4,2,-3,1]=>[4,2,3,1]=>000
[4,2,-3,-1]=>[-4,2,-3,1]=>[4,2,3,1]=>000
[4,-2,3,1]=>[4,-2,3,1]=>[4,2,3,1]=>000
[4,-2,3,-1]=>[-4,-2,3,1]=>[4,2,3,1]=>000
[4,-2,-3,1]=>[4,-2,-3,1]=>[4,2,3,1]=>000
[4,-2,-3,-1]=>[-4,-2,-3,1]=>[4,2,3,1]=>000
[-4,2,3,1]=>[4,2,3,-1]=>[4,2,3,1]=>000
[-4,2,3,-1]=>[-4,2,3,-1]=>[4,2,3,1]=>000
[-4,2,-3,1]=>[4,2,-3,-1]=>[4,2,3,1]=>000
[-4,2,-3,-1]=>[-4,2,-3,-1]=>[4,2,3,1]=>000
[-4,-2,3,1]=>[4,-2,3,-1]=>[4,2,3,1]=>000
[-4,-2,3,-1]=>[-4,-2,3,-1]=>[4,2,3,1]=>000
[-4,-2,-3,1]=>[4,-2,-3,-1]=>[4,2,3,1]=>000
[-4,-2,-3,-1]=>[-4,-2,-3,-1]=>[4,2,3,1]=>000
[4,3,1,2]=>[3,4,2,1]=>[3,4,2,1]=>000
[4,3,1,-2]=>[3,-4,2,1]=>[3,4,2,1]=>000
[4,3,-1,2]=>[-3,4,2,1]=>[3,4,2,1]=>000
[4,3,-1,-2]=>[-3,-4,2,1]=>[3,4,2,1]=>000
[4,-3,1,2]=>[3,4,-2,1]=>[3,4,2,1]=>000
[4,-3,1,-2]=>[3,-4,-2,1]=>[3,4,2,1]=>000
[4,-3,-1,2]=>[-3,4,-2,1]=>[3,4,2,1]=>000
[4,-3,-1,-2]=>[-3,-4,-2,1]=>[3,4,2,1]=>000
[-4,3,1,2]=>[3,4,2,-1]=>[3,4,2,1]=>000
[-4,3,1,-2]=>[3,-4,2,-1]=>[3,4,2,1]=>000
[-4,3,-1,2]=>[-3,4,2,-1]=>[3,4,2,1]=>000
[-4,3,-1,-2]=>[-3,-4,2,-1]=>[3,4,2,1]=>000
[-4,-3,1,2]=>[3,4,-2,-1]=>[3,4,2,1]=>000
[-4,-3,1,-2]=>[3,-4,-2,-1]=>[3,4,2,1]=>000
[-4,-3,-1,2]=>[-3,4,-2,-1]=>[3,4,2,1]=>000
[-4,-3,-1,-2]=>[-3,-4,-2,-1]=>[3,4,2,1]=>000
[4,3,2,1]=>[4,3,2,1]=>[4,3,2,1]=>000
[4,3,2,-1]=>[-4,3,2,1]=>[4,3,2,1]=>000
[4,3,-2,1]=>[4,-3,2,1]=>[4,3,2,1]=>000
[4,3,-2,-1]=>[-4,-3,2,1]=>[4,3,2,1]=>000
[4,-3,2,1]=>[4,3,-2,1]=>[4,3,2,1]=>000
[4,-3,2,-1]=>[-4,3,-2,1]=>[4,3,2,1]=>000
[4,-3,-2,1]=>[4,-3,-2,1]=>[4,3,2,1]=>000
[4,-3,-2,-1]=>[-4,-3,-2,1]=>[4,3,2,1]=>000
[-4,3,2,1]=>[4,3,2,-1]=>[4,3,2,1]=>000
[-4,3,2,-1]=>[-4,3,2,-1]=>[4,3,2,1]=>000
[-4,3,-2,1]=>[4,-3,2,-1]=>[4,3,2,1]=>000
[-4,3,-2,-1]=>[-4,-3,2,-1]=>[4,3,2,1]=>000
[-4,-3,2,1]=>[4,3,-2,-1]=>[4,3,2,1]=>000
[-4,-3,2,-1]=>[-4,3,-2,-1]=>[4,3,2,1]=>000
[-4,-3,-2,1]=>[4,-3,-2,-1]=>[4,3,2,1]=>000
[-4,-3,-2,-1]=>[-4,-3,-2,-1]=>[4,3,2,1]=>000
[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>1111
[1,2,3,4,-5]=>[1,2,3,4,-5]=>[1,2,3,4,5]=>1111
[1,2,3,-4,5]=>[1,2,3,-4,5]=>[1,2,3,4,5]=>1111
[1,2,3,-4,-5]=>[1,2,3,-4,-5]=>[1,2,3,4,5]=>1111
[1,2,-3,4,5]=>[1,2,-3,4,5]=>[1,2,3,4,5]=>1111
[1,2,-3,4,-5]=>[1,2,-3,4,-5]=>[1,2,3,4,5]=>1111
[1,2,-3,-4,5]=>[1,2,-3,-4,5]=>[1,2,3,4,5]=>1111
[1,2,-3,-4,-5]=>[1,2,-3,-4,-5]=>[1,2,3,4,5]=>1111
[1,-2,3,4,5]=>[1,-2,3,4,5]=>[1,2,3,4,5]=>1111
[1,-2,3,4,-5]=>[1,-2,3,4,-5]=>[1,2,3,4,5]=>1111
[1,-2,3,-4,5]=>[1,-2,3,-4,5]=>[1,2,3,4,5]=>1111
[1,-2,3,-4,-5]=>[1,-2,3,-4,-5]=>[1,2,3,4,5]=>1111
[1,-2,-3,4,5]=>[1,-2,-3,4,5]=>[1,2,3,4,5]=>1111
[1,-2,-3,4,-5]=>[1,-2,-3,4,-5]=>[1,2,3,4,5]=>1111
[1,-2,-3,-4,5]=>[1,-2,-3,-4,5]=>[1,2,3,4,5]=>1111
[1,-2,-3,-4,-5]=>[1,-2,-3,-4,-5]=>[1,2,3,4,5]=>1111
[-1,2,3,4,5]=>[-1,2,3,4,5]=>[1,2,3,4,5]=>1111
[-1,2,3,4,-5]=>[-1,2,3,4,-5]=>[1,2,3,4,5]=>1111
[-1,2,3,-4,5]=>[-1,2,3,-4,5]=>[1,2,3,4,5]=>1111
[-1,2,3,-4,-5]=>[-1,2,3,-4,-5]=>[1,2,3,4,5]=>1111
[-1,2,-3,4,5]=>[-1,2,-3,4,5]=>[1,2,3,4,5]=>1111
[-1,2,-3,4,-5]=>[-1,2,-3,4,-5]=>[1,2,3,4,5]=>1111
[-1,2,-3,-4,5]=>[-1,2,-3,-4,5]=>[1,2,3,4,5]=>1111
[-1,2,-3,-4,-5]=>[-1,2,-3,-4,-5]=>[1,2,3,4,5]=>1111
[-1,-2,3,4,5]=>[-1,-2,3,4,5]=>[1,2,3,4,5]=>1111
[-1,-2,3,4,-5]=>[-1,-2,3,4,-5]=>[1,2,3,4,5]=>1111
[-1,-2,3,-4,5]=>[-1,-2,3,-4,5]=>[1,2,3,4,5]=>1111
[-1,-2,3,-4,-5]=>[-1,-2,3,-4,-5]=>[1,2,3,4,5]=>1111
[-1,-2,-3,4,5]=>[-1,-2,-3,4,5]=>[1,2,3,4,5]=>1111
[-1,-2,-3,4,-5]=>[-1,-2,-3,4,-5]=>[1,2,3,4,5]=>1111
[-1,-2,-3,-4,5]=>[-1,-2,-3,-4,5]=>[1,2,3,4,5]=>1111
[-1,-2,-3,-4,-5]=>[-1,-2,-3,-4,-5]=>[1,2,3,4,5]=>1111
[1,2,3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>1110
[1,2,3,5,-4]=>[1,2,3,-5,4]=>[1,2,3,5,4]=>1110
[1,2,3,-5,4]=>[1,2,3,5,-4]=>[1,2,3,5,4]=>1110
[1,2,3,-5,-4]=>[1,2,3,-5,-4]=>[1,2,3,5,4]=>1110
[1,2,-3,5,4]=>[1,2,-3,5,4]=>[1,2,3,5,4]=>1110
[1,2,-3,5,-4]=>[1,2,-3,-5,4]=>[1,2,3,5,4]=>1110
[1,2,-3,-5,4]=>[1,2,-3,5,-4]=>[1,2,3,5,4]=>1110
[1,2,-3,-5,-4]=>[1,2,-3,-5,-4]=>[1,2,3,5,4]=>1110
[1,-2,3,5,4]=>[1,-2,3,5,4]=>[1,2,3,5,4]=>1110
[1,-2,3,5,-4]=>[1,-2,3,-5,4]=>[1,2,3,5,4]=>1110
[1,-2,3,-5,4]=>[1,-2,3,5,-4]=>[1,2,3,5,4]=>1110
[1,-2,3,-5,-4]=>[1,-2,3,-5,-4]=>[1,2,3,5,4]=>1110
[1,-2,-3,5,4]=>[1,-2,-3,5,4]=>[1,2,3,5,4]=>1110
[1,-2,-3,5,-4]=>[1,-2,-3,-5,4]=>[1,2,3,5,4]=>1110
[1,-2,-3,-5,4]=>[1,-2,-3,5,-4]=>[1,2,3,5,4]=>1110
[1,-2,-3,-5,-4]=>[1,-2,-3,-5,-4]=>[1,2,3,5,4]=>1110
[-1,2,3,5,4]=>[-1,2,3,5,4]=>[1,2,3,5,4]=>1110
[-1,2,3,5,-4]=>[-1,2,3,-5,4]=>[1,2,3,5,4]=>1110
[-1,2,3,-5,4]=>[-1,2,3,5,-4]=>[1,2,3,5,4]=>1110
[-1,2,3,-5,-4]=>[-1,2,3,-5,-4]=>[1,2,3,5,4]=>1110
[-1,2,-3,5,4]=>[-1,2,-3,5,4]=>[1,2,3,5,4]=>1110
[-1,2,-3,5,-4]=>[-1,2,-3,-5,4]=>[1,2,3,5,4]=>1110
[-1,2,-3,-5,4]=>[-1,2,-3,5,-4]=>[1,2,3,5,4]=>1110
[-1,2,-3,-5,-4]=>[-1,2,-3,-5,-4]=>[1,2,3,5,4]=>1110
[-1,-2,3,5,4]=>[-1,-2,3,5,4]=>[1,2,3,5,4]=>1110
[-1,-2,3,5,-4]=>[-1,-2,3,-5,4]=>[1,2,3,5,4]=>1110
[-1,-2,3,-5,4]=>[-1,-2,3,5,-4]=>[1,2,3,5,4]=>1110
[-1,-2,3,-5,-4]=>[-1,-2,3,-5,-4]=>[1,2,3,5,4]=>1110
[-1,-2,-3,5,4]=>[-1,-2,-3,5,4]=>[1,2,3,5,4]=>1110
[-1,-2,-3,5,-4]=>[-1,-2,-3,-5,4]=>[1,2,3,5,4]=>1110
[-1,-2,-3,-5,4]=>[-1,-2,-3,5,-4]=>[1,2,3,5,4]=>1110
[-1,-2,-3,-5,-4]=>[-1,-2,-3,-5,-4]=>[1,2,3,5,4]=>1110
[1,2,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>1101
[1,2,4,3,-5]=>[1,2,4,3,-5]=>[1,2,4,3,5]=>1101
[1,2,4,-3,5]=>[1,2,-4,3,5]=>[1,2,4,3,5]=>1101
[1,2,4,-3,-5]=>[1,2,-4,3,-5]=>[1,2,4,3,5]=>1101
[1,2,-4,3,5]=>[1,2,4,-3,5]=>[1,2,4,3,5]=>1101
[1,2,-4,3,-5]=>[1,2,4,-3,-5]=>[1,2,4,3,5]=>1101
[1,2,-4,-3,5]=>[1,2,-4,-3,5]=>[1,2,4,3,5]=>1101
[1,2,-4,-3,-5]=>[1,2,-4,-3,-5]=>[1,2,4,3,5]=>1101
[1,-2,4,3,5]=>[1,-2,4,3,5]=>[1,2,4,3,5]=>1101
[1,-2,4,3,-5]=>[1,-2,4,3,-5]=>[1,2,4,3,5]=>1101
[1,-2,4,-3,5]=>[1,-2,-4,3,5]=>[1,2,4,3,5]=>1101
[1,-2,4,-3,-5]=>[1,-2,-4,3,-5]=>[1,2,4,3,5]=>1101
[1,-2,-4,3,5]=>[1,-2,4,-3,5]=>[1,2,4,3,5]=>1101
[1,-2,-4,3,-5]=>[1,-2,4,-3,-5]=>[1,2,4,3,5]=>1101
[1,-2,-4,-3,5]=>[1,-2,-4,-3,5]=>[1,2,4,3,5]=>1101
[1,-2,-4,-3,-5]=>[1,-2,-4,-3,-5]=>[1,2,4,3,5]=>1101
[-1,2,4,3,5]=>[-1,2,4,3,5]=>[1,2,4,3,5]=>1101
[-1,2,4,3,-5]=>[-1,2,4,3,-5]=>[1,2,4,3,5]=>1101
[-1,2,4,-3,5]=>[-1,2,-4,3,5]=>[1,2,4,3,5]=>1101
[-1,2,4,-3,-5]=>[-1,2,-4,3,-5]=>[1,2,4,3,5]=>1101
[-1,2,-4,3,5]=>[-1,2,4,-3,5]=>[1,2,4,3,5]=>1101
[-1,2,-4,3,-5]=>[-1,2,4,-3,-5]=>[1,2,4,3,5]=>1101
[-1,2,-4,-3,5]=>[-1,2,-4,-3,5]=>[1,2,4,3,5]=>1101
[-1,2,-4,-3,-5]=>[-1,2,-4,-3,-5]=>[1,2,4,3,5]=>1101
[-1,-2,4,3,5]=>[-1,-2,4,3,5]=>[1,2,4,3,5]=>1101
[-1,-2,4,3,-5]=>[-1,-2,4,3,-5]=>[1,2,4,3,5]=>1101
[-1,-2,4,-3,5]=>[-1,-2,-4,3,5]=>[1,2,4,3,5]=>1101
[-1,-2,4,-3,-5]=>[-1,-2,-4,3,-5]=>[1,2,4,3,5]=>1101
[-1,-2,-4,3,5]=>[-1,-2,4,-3,5]=>[1,2,4,3,5]=>1101
[-1,-2,-4,3,-5]=>[-1,-2,4,-3,-5]=>[1,2,4,3,5]=>1101
[-1,-2,-4,-3,5]=>[-1,-2,-4,-3,5]=>[1,2,4,3,5]=>1101
[-1,-2,-4,-3,-5]=>[-1,-2,-4,-3,-5]=>[1,2,4,3,5]=>1101
[1,2,4,5,3]=>[1,2,5,3,4]=>[1,2,5,3,4]=>1100
[1,2,4,5,-3]=>[1,2,-5,3,4]=>[1,2,5,3,4]=>1100
[1,2,4,-5,3]=>[1,2,5,3,-4]=>[1,2,5,3,4]=>1100
[1,2,4,-5,-3]=>[1,2,-5,3,-4]=>[1,2,5,3,4]=>1100
[1,2,-4,5,3]=>[1,2,5,-3,4]=>[1,2,5,3,4]=>1100
[1,2,-4,5,-3]=>[1,2,-5,-3,4]=>[1,2,5,3,4]=>1100
[1,2,-4,-5,3]=>[1,2,5,-3,-4]=>[1,2,5,3,4]=>1100
[1,2,-4,-5,-3]=>[1,2,-5,-3,-4]=>[1,2,5,3,4]=>1100
[1,-2,4,5,3]=>[1,-2,5,3,4]=>[1,2,5,3,4]=>1100
[1,-2,4,5,-3]=>[1,-2,-5,3,4]=>[1,2,5,3,4]=>1100
[1,-2,4,-5,3]=>[1,-2,5,3,-4]=>[1,2,5,3,4]=>1100
[1,-2,4,-5,-3]=>[1,-2,-5,3,-4]=>[1,2,5,3,4]=>1100
[1,-2,-4,5,3]=>[1,-2,5,-3,4]=>[1,2,5,3,4]=>1100
[1,-2,-4,5,-3]=>[1,-2,-5,-3,4]=>[1,2,5,3,4]=>1100
[1,-2,-4,-5,3]=>[1,-2,5,-3,-4]=>[1,2,5,3,4]=>1100
[1,-2,-4,-5,-3]=>[1,-2,-5,-3,-4]=>[1,2,5,3,4]=>1100
[-1,2,4,5,3]=>[-1,2,5,3,4]=>[1,2,5,3,4]=>1100
[-1,2,4,5,-3]=>[-1,2,-5,3,4]=>[1,2,5,3,4]=>1100
[-1,2,4,-5,3]=>[-1,2,5,3,-4]=>[1,2,5,3,4]=>1100
[-1,2,4,-5,-3]=>[-1,2,-5,3,-4]=>[1,2,5,3,4]=>1100
[-1,2,-4,5,3]=>[-1,2,5,-3,4]=>[1,2,5,3,4]=>1100
[-1,2,-4,5,-3]=>[-1,2,-5,-3,4]=>[1,2,5,3,4]=>1100
[-1,2,-4,-5,3]=>[-1,2,5,-3,-4]=>[1,2,5,3,4]=>1100
[-1,2,-4,-5,-3]=>[-1,2,-5,-3,-4]=>[1,2,5,3,4]=>1100
[-1,-2,4,5,3]=>[-1,-2,5,3,4]=>[1,2,5,3,4]=>1100
[-1,-2,4,5,-3]=>[-1,-2,-5,3,4]=>[1,2,5,3,4]=>1100
[-1,-2,4,-5,3]=>[-1,-2,5,3,-4]=>[1,2,5,3,4]=>1100
[-1,-2,4,-5,-3]=>[-1,-2,-5,3,-4]=>[1,2,5,3,4]=>1100
[-1,-2,-4,5,3]=>[-1,-2,5,-3,4]=>[1,2,5,3,4]=>1100
[-1,-2,-4,5,-3]=>[-1,-2,-5,-3,4]=>[1,2,5,3,4]=>1100
[-1,-2,-4,-5,3]=>[-1,-2,5,-3,-4]=>[1,2,5,3,4]=>1100
[-1,-2,-4,-5,-3]=>[-1,-2,-5,-3,-4]=>[1,2,5,3,4]=>1100
[1,2,5,3,4]=>[1,2,4,5,3]=>[1,2,4,5,3]=>1100
[1,2,5,3,-4]=>[1,2,4,-5,3]=>[1,2,4,5,3]=>1100
[1,2,5,-3,4]=>[1,2,-4,5,3]=>[1,2,4,5,3]=>1100
[1,2,5,-3,-4]=>[1,2,-4,-5,3]=>[1,2,4,5,3]=>1100
[1,2,-5,3,4]=>[1,2,4,5,-3]=>[1,2,4,5,3]=>1100
[1,2,-5,3,-4]=>[1,2,4,-5,-3]=>[1,2,4,5,3]=>1100
[1,2,-5,-3,4]=>[1,2,-4,5,-3]=>[1,2,4,5,3]=>1100
[1,2,-5,-3,-4]=>[1,2,-4,-5,-3]=>[1,2,4,5,3]=>1100
[1,-2,5,3,4]=>[1,-2,4,5,3]=>[1,2,4,5,3]=>1100
[1,-2,5,3,-4]=>[1,-2,4,-5,3]=>[1,2,4,5,3]=>1100
[1,-2,5,-3,4]=>[1,-2,-4,5,3]=>[1,2,4,5,3]=>1100
[1,-2,5,-3,-4]=>[1,-2,-4,-5,3]=>[1,2,4,5,3]=>1100
[1,-2,-5,3,4]=>[1,-2,4,5,-3]=>[1,2,4,5,3]=>1100
[1,-2,-5,3,-4]=>[1,-2,4,-5,-3]=>[1,2,4,5,3]=>1100
[1,-2,-5,-3,4]=>[1,-2,-4,5,-3]=>[1,2,4,5,3]=>1100
[1,-2,-5,-3,-4]=>[1,-2,-4,-5,-3]=>[1,2,4,5,3]=>1100
[-1,2,5,3,4]=>[-1,2,4,5,3]=>[1,2,4,5,3]=>1100
[-1,2,5,3,-4]=>[-1,2,4,-5,3]=>[1,2,4,5,3]=>1100
[-1,2,5,-3,4]=>[-1,2,-4,5,3]=>[1,2,4,5,3]=>1100
[-1,2,5,-3,-4]=>[-1,2,-4,-5,3]=>[1,2,4,5,3]=>1100
[-1,2,-5,3,4]=>[-1,2,4,5,-3]=>[1,2,4,5,3]=>1100
[-1,2,-5,3,-4]=>[-1,2,4,-5,-3]=>[1,2,4,5,3]=>1100
[-1,2,-5,-3,4]=>[-1,2,-4,5,-3]=>[1,2,4,5,3]=>1100
[-1,2,-5,-3,-4]=>[-1,2,-4,-5,-3]=>[1,2,4,5,3]=>1100
[-1,-2,5,3,4]=>[-1,-2,4,5,3]=>[1,2,4,5,3]=>1100
[-1,-2,5,3,-4]=>[-1,-2,4,-5,3]=>[1,2,4,5,3]=>1100
[-1,-2,5,-3,4]=>[-1,-2,-4,5,3]=>[1,2,4,5,3]=>1100
[-1,-2,5,-3,-4]=>[-1,-2,-4,-5,3]=>[1,2,4,5,3]=>1100
[-1,-2,-5,3,4]=>[-1,-2,4,5,-3]=>[1,2,4,5,3]=>1100
[-1,-2,-5,3,-4]=>[-1,-2,4,-5,-3]=>[1,2,4,5,3]=>1100
[-1,-2,-5,-3,4]=>[-1,-2,-4,5,-3]=>[1,2,4,5,3]=>1100
[-1,-2,-5,-3,-4]=>[-1,-2,-4,-5,-3]=>[1,2,4,5,3]=>1100
[1,2,5,4,3]=>[1,2,5,4,3]=>[1,2,5,4,3]=>1100
[1,2,5,4,-3]=>[1,2,-5,4,3]=>[1,2,5,4,3]=>1100
[1,2,5,-4,3]=>[1,2,5,-4,3]=>[1,2,5,4,3]=>1100
[1,2,5,-4,-3]=>[1,2,-5,-4,3]=>[1,2,5,4,3]=>1100
[1,2,-5,4,3]=>[1,2,5,4,-3]=>[1,2,5,4,3]=>1100
[1,2,-5,4,-3]=>[1,2,-5,4,-3]=>[1,2,5,4,3]=>1100
[1,2,-5,-4,3]=>[1,2,5,-4,-3]=>[1,2,5,4,3]=>1100
[1,2,-5,-4,-3]=>[1,2,-5,-4,-3]=>[1,2,5,4,3]=>1100
[1,-2,5,4,3]=>[1,-2,5,4,3]=>[1,2,5,4,3]=>1100
[1,-2,5,4,-3]=>[1,-2,-5,4,3]=>[1,2,5,4,3]=>1100
[1,-2,5,-4,3]=>[1,-2,5,-4,3]=>[1,2,5,4,3]=>1100
[1,-2,5,-4,-3]=>[1,-2,-5,-4,3]=>[1,2,5,4,3]=>1100
[1,-2,-5,4,3]=>[1,-2,5,4,-3]=>[1,2,5,4,3]=>1100
[1,-2,-5,4,-3]=>[1,-2,-5,4,-3]=>[1,2,5,4,3]=>1100
[1,-2,-5,-4,3]=>[1,-2,5,-4,-3]=>[1,2,5,4,3]=>1100
[1,-2,-5,-4,-3]=>[1,-2,-5,-4,-3]=>[1,2,5,4,3]=>1100
[-1,2,5,4,3]=>[-1,2,5,4,3]=>[1,2,5,4,3]=>1100
[-1,2,5,4,-3]=>[-1,2,-5,4,3]=>[1,2,5,4,3]=>1100
[-1,2,5,-4,3]=>[-1,2,5,-4,3]=>[1,2,5,4,3]=>1100
[-1,2,5,-4,-3]=>[-1,2,-5,-4,3]=>[1,2,5,4,3]=>1100
[-1,2,-5,4,3]=>[-1,2,5,4,-3]=>[1,2,5,4,3]=>1100
[-1,2,-5,4,-3]=>[-1,2,-5,4,-3]=>[1,2,5,4,3]=>1100
[-1,2,-5,-4,3]=>[-1,2,5,-4,-3]=>[1,2,5,4,3]=>1100
[-1,2,-5,-4,-3]=>[-1,2,-5,-4,-3]=>[1,2,5,4,3]=>1100
[-1,-2,5,4,3]=>[-1,-2,5,4,3]=>[1,2,5,4,3]=>1100
[-1,-2,5,4,-3]=>[-1,-2,-5,4,3]=>[1,2,5,4,3]=>1100
[-1,-2,5,-4,3]=>[-1,-2,5,-4,3]=>[1,2,5,4,3]=>1100
[-1,-2,5,-4,-3]=>[-1,-2,-5,-4,3]=>[1,2,5,4,3]=>1100
[-1,-2,-5,4,3]=>[-1,-2,5,4,-3]=>[1,2,5,4,3]=>1100
[-1,-2,-5,4,-3]=>[-1,-2,-5,4,-3]=>[1,2,5,4,3]=>1100
[-1,-2,-5,-4,3]=>[-1,-2,5,-4,-3]=>[1,2,5,4,3]=>1100
[-1,-2,-5,-4,-3]=>[-1,-2,-5,-4,-3]=>[1,2,5,4,3]=>1100
[1,3,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>1011
[1,3,2,4,-5]=>[1,3,2,4,-5]=>[1,3,2,4,5]=>1011
[1,3,2,-4,5]=>[1,3,2,-4,5]=>[1,3,2,4,5]=>1011
[1,3,2,-4,-5]=>[1,3,2,-4,-5]=>[1,3,2,4,5]=>1011
[1,3,-2,4,5]=>[1,-3,2,4,5]=>[1,3,2,4,5]=>1011
[1,3,-2,4,-5]=>[1,-3,2,4,-5]=>[1,3,2,4,5]=>1011
[1,3,-2,-4,5]=>[1,-3,2,-4,5]=>[1,3,2,4,5]=>1011
[1,3,-2,-4,-5]=>[1,-3,2,-4,-5]=>[1,3,2,4,5]=>1011
[1,-3,2,4,5]=>[1,3,-2,4,5]=>[1,3,2,4,5]=>1011
[1,-3,2,4,-5]=>[1,3,-2,4,-5]=>[1,3,2,4,5]=>1011
[1,-3,2,-4,5]=>[1,3,-2,-4,5]=>[1,3,2,4,5]=>1011
[1,-3,2,-4,-5]=>[1,3,-2,-4,-5]=>[1,3,2,4,5]=>1011
[1,-3,-2,4,5]=>[1,-3,-2,4,5]=>[1,3,2,4,5]=>1011
[1,-3,-2,4,-5]=>[1,-3,-2,4,-5]=>[1,3,2,4,5]=>1011
[1,-3,-2,-4,5]=>[1,-3,-2,-4,5]=>[1,3,2,4,5]=>1011
[1,-3,-2,-4,-5]=>[1,-3,-2,-4,-5]=>[1,3,2,4,5]=>1011
[-1,3,2,4,5]=>[-1,3,2,4,5]=>[1,3,2,4,5]=>1011
[-1,3,2,4,-5]=>[-1,3,2,4,-5]=>[1,3,2,4,5]=>1011
[-1,3,2,-4,5]=>[-1,3,2,-4,5]=>[1,3,2,4,5]=>1011
[-1,3,2,-4,-5]=>[-1,3,2,-4,-5]=>[1,3,2,4,5]=>1011
[-1,3,-2,4,5]=>[-1,-3,2,4,5]=>[1,3,2,4,5]=>1011
[-1,3,-2,4,-5]=>[-1,-3,2,4,-5]=>[1,3,2,4,5]=>1011
[-1,3,-2,-4,5]=>[-1,-3,2,-4,5]=>[1,3,2,4,5]=>1011
[-1,3,-2,-4,-5]=>[-1,-3,2,-4,-5]=>[1,3,2,4,5]=>1011
[-1,-3,2,4,5]=>[-1,3,-2,4,5]=>[1,3,2,4,5]=>1011
[-1,-3,2,4,-5]=>[-1,3,-2,4,-5]=>[1,3,2,4,5]=>1011
[-1,-3,2,-4,5]=>[-1,3,-2,-4,5]=>[1,3,2,4,5]=>1011
[-1,-3,2,-4,-5]=>[-1,3,-2,-4,-5]=>[1,3,2,4,5]=>1011
[-1,-3,-2,4,5]=>[-1,-3,-2,4,5]=>[1,3,2,4,5]=>1011
[-1,-3,-2,4,-5]=>[-1,-3,-2,4,-5]=>[1,3,2,4,5]=>1011
[-1,-3,-2,-4,5]=>[-1,-3,-2,-4,5]=>[1,3,2,4,5]=>1011
[-1,-3,-2,-4,-5]=>[-1,-3,-2,-4,-5]=>[1,3,2,4,5]=>1011
[1,3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>1010
[1,3,2,5,-4]=>[1,3,2,-5,4]=>[1,3,2,5,4]=>1010
[1,3,2,-5,4]=>[1,3,2,5,-4]=>[1,3,2,5,4]=>1010
[1,3,2,-5,-4]=>[1,3,2,-5,-4]=>[1,3,2,5,4]=>1010
[1,3,-2,5,4]=>[1,-3,2,5,4]=>[1,3,2,5,4]=>1010
[1,3,-2,5,-4]=>[1,-3,2,-5,4]=>[1,3,2,5,4]=>1010
[1,3,-2,-5,4]=>[1,-3,2,5,-4]=>[1,3,2,5,4]=>1010
[1,3,-2,-5,-4]=>[1,-3,2,-5,-4]=>[1,3,2,5,4]=>1010
[1,-3,2,5,4]=>[1,3,-2,5,4]=>[1,3,2,5,4]=>1010
[1,-3,2,5,-4]=>[1,3,-2,-5,4]=>[1,3,2,5,4]=>1010
[1,-3,2,-5,4]=>[1,3,-2,5,-4]=>[1,3,2,5,4]=>1010
[1,-3,2,-5,-4]=>[1,3,-2,-5,-4]=>[1,3,2,5,4]=>1010
[1,-3,-2,5,4]=>[1,-3,-2,5,4]=>[1,3,2,5,4]=>1010
[1,-3,-2,5,-4]=>[1,-3,-2,-5,4]=>[1,3,2,5,4]=>1010
[1,-3,-2,-5,4]=>[1,-3,-2,5,-4]=>[1,3,2,5,4]=>1010
[1,-3,-2,-5,-4]=>[1,-3,-2,-5,-4]=>[1,3,2,5,4]=>1010
[-1,3,2,5,4]=>[-1,3,2,5,4]=>[1,3,2,5,4]=>1010
[-1,3,2,5,-4]=>[-1,3,2,-5,4]=>[1,3,2,5,4]=>1010
[-1,3,2,-5,4]=>[-1,3,2,5,-4]=>[1,3,2,5,4]=>1010
[-1,3,2,-5,-4]=>[-1,3,2,-5,-4]=>[1,3,2,5,4]=>1010
[-1,3,-2,5,4]=>[-1,-3,2,5,4]=>[1,3,2,5,4]=>1010
[-1,3,-2,5,-4]=>[-1,-3,2,-5,4]=>[1,3,2,5,4]=>1010
[-1,3,-2,-5,4]=>[-1,-3,2,5,-4]=>[1,3,2,5,4]=>1010
[-1,3,-2,-5,-4]=>[-1,-3,2,-5,-4]=>[1,3,2,5,4]=>1010
[-1,-3,2,5,4]=>[-1,3,-2,5,4]=>[1,3,2,5,4]=>1010
[-1,-3,2,5,-4]=>[-1,3,-2,-5,4]=>[1,3,2,5,4]=>1010
[-1,-3,2,-5,4]=>[-1,3,-2,5,-4]=>[1,3,2,5,4]=>1010
[-1,-3,2,-5,-4]=>[-1,3,-2,-5,-4]=>[1,3,2,5,4]=>1010
[-1,-3,-2,5,4]=>[-1,-3,-2,5,4]=>[1,3,2,5,4]=>1010
[-1,-3,-2,5,-4]=>[-1,-3,-2,-5,4]=>[1,3,2,5,4]=>1010
[-1,-3,-2,-5,4]=>[-1,-3,-2,5,-4]=>[1,3,2,5,4]=>1010
[-1,-3,-2,-5,-4]=>[-1,-3,-2,-5,-4]=>[1,3,2,5,4]=>1010
[1,3,4,2,5]=>[1,4,2,3,5]=>[1,4,2,3,5]=>1001
[1,3,4,2,-5]=>[1,4,2,3,-5]=>[1,4,2,3,5]=>1001
[1,3,4,-2,5]=>[1,-4,2,3,5]=>[1,4,2,3,5]=>1001
[1,3,4,-2,-5]=>[1,-4,2,3,-5]=>[1,4,2,3,5]=>1001
[1,3,-4,2,5]=>[1,4,2,-3,5]=>[1,4,2,3,5]=>1001
[1,3,-4,2,-5]=>[1,4,2,-3,-5]=>[1,4,2,3,5]=>1001
[1,3,-4,-2,5]=>[1,-4,2,-3,5]=>[1,4,2,3,5]=>1001
[1,3,-4,-2,-5]=>[1,-4,2,-3,-5]=>[1,4,2,3,5]=>1001
[1,-3,4,2,5]=>[1,4,-2,3,5]=>[1,4,2,3,5]=>1001
[1,-3,4,2,-5]=>[1,4,-2,3,-5]=>[1,4,2,3,5]=>1001
[1,-3,4,-2,5]=>[1,-4,-2,3,5]=>[1,4,2,3,5]=>1001
[1,-3,4,-2,-5]=>[1,-4,-2,3,-5]=>[1,4,2,3,5]=>1001
[1,-3,-4,2,5]=>[1,4,-2,-3,5]=>[1,4,2,3,5]=>1001
[1,-3,-4,2,-5]=>[1,4,-2,-3,-5]=>[1,4,2,3,5]=>1001
[1,-3,-4,-2,5]=>[1,-4,-2,-3,5]=>[1,4,2,3,5]=>1001
[1,-3,-4,-2,-5]=>[1,-4,-2,-3,-5]=>[1,4,2,3,5]=>1001
[-1,3,4,2,5]=>[-1,4,2,3,5]=>[1,4,2,3,5]=>1001
[-1,3,4,2,-5]=>[-1,4,2,3,-5]=>[1,4,2,3,5]=>1001
[-1,3,4,-2,5]=>[-1,-4,2,3,5]=>[1,4,2,3,5]=>1001
[-1,3,4,-2,-5]=>[-1,-4,2,3,-5]=>[1,4,2,3,5]=>1001
[-1,3,-4,2,5]=>[-1,4,2,-3,5]=>[1,4,2,3,5]=>1001
[-1,3,-4,2,-5]=>[-1,4,2,-3,-5]=>[1,4,2,3,5]=>1001
[-1,3,-4,-2,5]=>[-1,-4,2,-3,5]=>[1,4,2,3,5]=>1001
[-1,3,-4,-2,-5]=>[-1,-4,2,-3,-5]=>[1,4,2,3,5]=>1001
[-1,-3,4,2,5]=>[-1,4,-2,3,5]=>[1,4,2,3,5]=>1001
[-1,-3,4,2,-5]=>[-1,4,-2,3,-5]=>[1,4,2,3,5]=>1001
[-1,-3,4,-2,5]=>[-1,-4,-2,3,5]=>[1,4,2,3,5]=>1001
[-1,-3,4,-2,-5]=>[-1,-4,-2,3,-5]=>[1,4,2,3,5]=>1001
[-1,-3,-4,2,5]=>[-1,4,-2,-3,5]=>[1,4,2,3,5]=>1001
[-1,-3,-4,2,-5]=>[-1,4,-2,-3,-5]=>[1,4,2,3,5]=>1001
[-1,-3,-4,-2,5]=>[-1,-4,-2,-3,5]=>[1,4,2,3,5]=>1001
[-1,-3,-4,-2,-5]=>[-1,-4,-2,-3,-5]=>[1,4,2,3,5]=>1001
[1,3,4,5,2]=>[1,5,2,3,4]=>[1,5,2,3,4]=>1000
[1,3,4,5,-2]=>[1,-5,2,3,4]=>[1,5,2,3,4]=>1000
[1,3,4,-5,2]=>[1,5,2,3,-4]=>[1,5,2,3,4]=>1000
[1,3,4,-5,-2]=>[1,-5,2,3,-4]=>[1,5,2,3,4]=>1000
[1,3,-4,5,2]=>[1,5,2,-3,4]=>[1,5,2,3,4]=>1000
[1,3,-4,5,-2]=>[1,-5,2,-3,4]=>[1,5,2,3,4]=>1000
[1,3,-4,-5,2]=>[1,5,2,-3,-4]=>[1,5,2,3,4]=>1000
[1,3,-4,-5,-2]=>[1,-5,2,-3,-4]=>[1,5,2,3,4]=>1000
[1,-3,4,5,2]=>[1,5,-2,3,4]=>[1,5,2,3,4]=>1000
[1,-3,4,5,-2]=>[1,-5,-2,3,4]=>[1,5,2,3,4]=>1000
[1,-3,4,-5,2]=>[1,5,-2,3,-4]=>[1,5,2,3,4]=>1000
[1,-3,4,-5,-2]=>[1,-5,-2,3,-4]=>[1,5,2,3,4]=>1000
[1,-3,-4,5,2]=>[1,5,-2,-3,4]=>[1,5,2,3,4]=>1000
[1,-3,-4,5,-2]=>[1,-5,-2,-3,4]=>[1,5,2,3,4]=>1000
[1,-3,-4,-5,2]=>[1,5,-2,-3,-4]=>[1,5,2,3,4]=>1000
[1,-3,-4,-5,-2]=>[1,-5,-2,-3,-4]=>[1,5,2,3,4]=>1000
[-1,3,4,5,2]=>[-1,5,2,3,4]=>[1,5,2,3,4]=>1000
[-1,3,4,5,-2]=>[-1,-5,2,3,4]=>[1,5,2,3,4]=>1000
[-1,3,4,-5,2]=>[-1,5,2,3,-4]=>[1,5,2,3,4]=>1000
[-1,3,4,-5,-2]=>[-1,-5,2,3,-4]=>[1,5,2,3,4]=>1000
[-1,3,-4,5,2]=>[-1,5,2,-3,4]=>[1,5,2,3,4]=>1000
[-1,3,-4,5,-2]=>[-1,-5,2,-3,4]=>[1,5,2,3,4]=>1000
[-1,3,-4,-5,2]=>[-1,5,2,-3,-4]=>[1,5,2,3,4]=>1000
[-1,3,-4,-5,-2]=>[-1,-5,2,-3,-4]=>[1,5,2,3,4]=>1000
[-1,-3,4,5,2]=>[-1,5,-2,3,4]=>[1,5,2,3,4]=>1000
[-1,-3,4,5,-2]=>[-1,-5,-2,3,4]=>[1,5,2,3,4]=>1000
[-1,-3,4,-5,2]=>[-1,5,-2,3,-4]=>[1,5,2,3,4]=>1000
[-1,-3,4,-5,-2]=>[-1,-5,-2,3,-4]=>[1,5,2,3,4]=>1000
[-1,-3,-4,5,2]=>[-1,5,-2,-3,4]=>[1,5,2,3,4]=>1000
[-1,-3,-4,5,-2]=>[-1,-5,-2,-3,4]=>[1,5,2,3,4]=>1000
[-1,-3,-4,-5,2]=>[-1,5,-2,-3,-4]=>[1,5,2,3,4]=>1000
[-1,-3,-4,-5,-2]=>[-1,-5,-2,-3,-4]=>[1,5,2,3,4]=>1000
[1,3,5,2,4]=>[1,4,2,5,3]=>[1,4,2,5,3]=>1000
[1,3,5,2,-4]=>[1,4,2,-5,3]=>[1,4,2,5,3]=>1000
[1,3,5,-2,4]=>[1,-4,2,5,3]=>[1,4,2,5,3]=>1000
[1,3,5,-2,-4]=>[1,-4,2,-5,3]=>[1,4,2,5,3]=>1000
[1,3,-5,2,4]=>[1,4,2,5,-3]=>[1,4,2,5,3]=>1000
[1,3,-5,2,-4]=>[1,4,2,-5,-3]=>[1,4,2,5,3]=>1000
[1,3,-5,-2,4]=>[1,-4,2,5,-3]=>[1,4,2,5,3]=>1000
[1,3,-5,-2,-4]=>[1,-4,2,-5,-3]=>[1,4,2,5,3]=>1000
[1,-3,5,2,4]=>[1,4,-2,5,3]=>[1,4,2,5,3]=>1000
[1,-3,5,2,-4]=>[1,4,-2,-5,3]=>[1,4,2,5,3]=>1000
[1,-3,5,-2,4]=>[1,-4,-2,5,3]=>[1,4,2,5,3]=>1000
[1,-3,5,-2,-4]=>[1,-4,-2,-5,3]=>[1,4,2,5,3]=>1000
[1,-3,-5,2,4]=>[1,4,-2,5,-3]=>[1,4,2,5,3]=>1000
[1,-3,-5,2,-4]=>[1,4,-2,-5,-3]=>[1,4,2,5,3]=>1000
[1,-3,-5,-2,4]=>[1,-4,-2,5,-3]=>[1,4,2,5,3]=>1000
[1,-3,-5,-2,-4]=>[1,-4,-2,-5,-3]=>[1,4,2,5,3]=>1000
[-1,3,5,2,4]=>[-1,4,2,5,3]=>[1,4,2,5,3]=>1000
[-1,3,5,2,-4]=>[-1,4,2,-5,3]=>[1,4,2,5,3]=>1000
[-1,3,5,-2,4]=>[-1,-4,2,5,3]=>[1,4,2,5,3]=>1000
[-1,3,5,-2,-4]=>[-1,-4,2,-5,3]=>[1,4,2,5,3]=>1000
[-1,3,-5,2,4]=>[-1,4,2,5,-3]=>[1,4,2,5,3]=>1000
[-1,3,-5,2,-4]=>[-1,4,2,-5,-3]=>[1,4,2,5,3]=>1000
[-1,3,-5,-2,4]=>[-1,-4,2,5,-3]=>[1,4,2,5,3]=>1000
[-1,3,-5,-2,-4]=>[-1,-4,2,-5,-3]=>[1,4,2,5,3]=>1000
[-1,-3,5,2,4]=>[-1,4,-2,5,3]=>[1,4,2,5,3]=>1000
[-1,-3,5,2,-4]=>[-1,4,-2,-5,3]=>[1,4,2,5,3]=>1000
[-1,-3,5,-2,4]=>[-1,-4,-2,5,3]=>[1,4,2,5,3]=>1000
[-1,-3,5,-2,-4]=>[-1,-4,-2,-5,3]=>[1,4,2,5,3]=>1000
[-1,-3,-5,2,4]=>[-1,4,-2,5,-3]=>[1,4,2,5,3]=>1000
[-1,-3,-5,2,-4]=>[-1,4,-2,-5,-3]=>[1,4,2,5,3]=>1000
[-1,-3,-5,-2,4]=>[-1,-4,-2,5,-3]=>[1,4,2,5,3]=>1000
[-1,-3,-5,-2,-4]=>[-1,-4,-2,-5,-3]=>[1,4,2,5,3]=>1000
[1,3,5,4,2]=>[1,5,2,4,3]=>[1,5,2,4,3]=>1000
[1,3,5,4,-2]=>[1,-5,2,4,3]=>[1,5,2,4,3]=>1000
[1,3,5,-4,2]=>[1,5,2,-4,3]=>[1,5,2,4,3]=>1000
[1,3,5,-4,-2]=>[1,-5,2,-4,3]=>[1,5,2,4,3]=>1000
[1,3,-5,4,2]=>[1,5,2,4,-3]=>[1,5,2,4,3]=>1000
[1,3,-5,4,-2]=>[1,-5,2,4,-3]=>[1,5,2,4,3]=>1000
[1,3,-5,-4,2]=>[1,5,2,-4,-3]=>[1,5,2,4,3]=>1000
[1,3,-5,-4,-2]=>[1,-5,2,-4,-3]=>[1,5,2,4,3]=>1000
[1,-3,5,4,2]=>[1,5,-2,4,3]=>[1,5,2,4,3]=>1000
[1,-3,5,4,-2]=>[1,-5,-2,4,3]=>[1,5,2,4,3]=>1000
[1,-3,5,-4,2]=>[1,5,-2,-4,3]=>[1,5,2,4,3]=>1000
[1,-3,5,-4,-2]=>[1,-5,-2,-4,3]=>[1,5,2,4,3]=>1000
[1,-3,-5,4,2]=>[1,5,-2,4,-3]=>[1,5,2,4,3]=>1000
[1,-3,-5,4,-2]=>[1,-5,-2,4,-3]=>[1,5,2,4,3]=>1000
[1,-3,-5,-4,2]=>[1,5,-2,-4,-3]=>[1,5,2,4,3]=>1000
[1,-3,-5,-4,-2]=>[1,-5,-2,-4,-3]=>[1,5,2,4,3]=>1000
[-1,3,5,4,2]=>[-1,5,2,4,3]=>[1,5,2,4,3]=>1000
[-1,3,5,4,-2]=>[-1,-5,2,4,3]=>[1,5,2,4,3]=>1000
[-1,3,5,-4,2]=>[-1,5,2,-4,3]=>[1,5,2,4,3]=>1000
[-1,3,5,-4,-2]=>[-1,-5,2,-4,3]=>[1,5,2,4,3]=>1000
[-1,3,-5,4,2]=>[-1,5,2,4,-3]=>[1,5,2,4,3]=>1000
[-1,3,-5,4,-2]=>[-1,-5,2,4,-3]=>[1,5,2,4,3]=>1000
[-1,3,-5,-4,2]=>[-1,5,2,-4,-3]=>[1,5,2,4,3]=>1000
[-1,3,-5,-4,-2]=>[-1,-5,2,-4,-3]=>[1,5,2,4,3]=>1000
[-1,-3,5,4,2]=>[-1,5,-2,4,3]=>[1,5,2,4,3]=>1000
[-1,-3,5,4,-2]=>[-1,-5,-2,4,3]=>[1,5,2,4,3]=>1000
[-1,-3,5,-4,2]=>[-1,5,-2,-4,3]=>[1,5,2,4,3]=>1000
[-1,-3,5,-4,-2]=>[-1,-5,-2,-4,3]=>[1,5,2,4,3]=>1000
[-1,-3,-5,4,2]=>[-1,5,-2,4,-3]=>[1,5,2,4,3]=>1000
[-1,-3,-5,4,-2]=>[-1,-5,-2,4,-3]=>[1,5,2,4,3]=>1000
[-1,-3,-5,-4,2]=>[-1,5,-2,-4,-3]=>[1,5,2,4,3]=>1000
[-1,-3,-5,-4,-2]=>[-1,-5,-2,-4,-3]=>[1,5,2,4,3]=>1000
[1,4,2,3,5]=>[1,3,4,2,5]=>[1,3,4,2,5]=>1001
[1,4,2,3,-5]=>[1,3,4,2,-5]=>[1,3,4,2,5]=>1001
[1,4,2,-3,5]=>[1,3,-4,2,5]=>[1,3,4,2,5]=>1001
[1,4,2,-3,-5]=>[1,3,-4,2,-5]=>[1,3,4,2,5]=>1001
[1,4,-2,3,5]=>[1,-3,4,2,5]=>[1,3,4,2,5]=>1001
[1,4,-2,3,-5]=>[1,-3,4,2,-5]=>[1,3,4,2,5]=>1001
[1,4,-2,-3,5]=>[1,-3,-4,2,5]=>[1,3,4,2,5]=>1001
[1,4,-2,-3,-5]=>[1,-3,-4,2,-5]=>[1,3,4,2,5]=>1001
[1,-4,2,3,5]=>[1,3,4,-2,5]=>[1,3,4,2,5]=>1001
[1,-4,2,3,-5]=>[1,3,4,-2,-5]=>[1,3,4,2,5]=>1001
[1,-4,2,-3,5]=>[1,3,-4,-2,5]=>[1,3,4,2,5]=>1001
[1,-4,2,-3,-5]=>[1,3,-4,-2,-5]=>[1,3,4,2,5]=>1001
[1,-4,-2,3,5]=>[1,-3,4,-2,5]=>[1,3,4,2,5]=>1001
[1,-4,-2,3,-5]=>[1,-3,4,-2,-5]=>[1,3,4,2,5]=>1001
[1,-4,-2,-3,5]=>[1,-3,-4,-2,5]=>[1,3,4,2,5]=>1001
[1,-4,-2,-3,-5]=>[1,-3,-4,-2,-5]=>[1,3,4,2,5]=>1001
[-1,4,2,3,5]=>[-1,3,4,2,5]=>[1,3,4,2,5]=>1001
[-1,4,2,3,-5]=>[-1,3,4,2,-5]=>[1,3,4,2,5]=>1001
[-1,4,2,-3,5]=>[-1,3,-4,2,5]=>[1,3,4,2,5]=>1001
[-1,4,2,-3,-5]=>[-1,3,-4,2,-5]=>[1,3,4,2,5]=>1001
[-1,4,-2,3,5]=>[-1,-3,4,2,5]=>[1,3,4,2,5]=>1001
[-1,4,-2,3,-5]=>[-1,-3,4,2,-5]=>[1,3,4,2,5]=>1001
[-1,4,-2,-3,5]=>[-1,-3,-4,2,5]=>[1,3,4,2,5]=>1001
[-1,4,-2,-3,-5]=>[-1,-3,-4,2,-5]=>[1,3,4,2,5]=>1001
[-1,-4,2,3,5]=>[-1,3,4,-2,5]=>[1,3,4,2,5]=>1001
[-1,-4,2,3,-5]=>[-1,3,4,-2,-5]=>[1,3,4,2,5]=>1001
[-1,-4,2,-3,5]=>[-1,3,-4,-2,5]=>[1,3,4,2,5]=>1001
[-1,-4,2,-3,-5]=>[-1,3,-4,-2,-5]=>[1,3,4,2,5]=>1001
[-1,-4,-2,3,5]=>[-1,-3,4,-2,5]=>[1,3,4,2,5]=>1001
[-1,-4,-2,3,-5]=>[-1,-3,4,-2,-5]=>[1,3,4,2,5]=>1001
[-1,-4,-2,-3,5]=>[-1,-3,-4,-2,5]=>[1,3,4,2,5]=>1001
[-1,-4,-2,-3,-5]=>[-1,-3,-4,-2,-5]=>[1,3,4,2,5]=>1001
[1,4,2,5,3]=>[1,3,5,2,4]=>[1,3,5,2,4]=>1000
[1,4,2,5,-3]=>[1,3,-5,2,4]=>[1,3,5,2,4]=>1000
[1,4,2,-5,3]=>[1,3,5,2,-4]=>[1,3,5,2,4]=>1000
[1,4,2,-5,-3]=>[1,3,-5,2,-4]=>[1,3,5,2,4]=>1000
[1,4,-2,5,3]=>[1,-3,5,2,4]=>[1,3,5,2,4]=>1000
[1,4,-2,5,-3]=>[1,-3,-5,2,4]=>[1,3,5,2,4]=>1000
[1,4,-2,-5,3]=>[1,-3,5,2,-4]=>[1,3,5,2,4]=>1000
[1,4,-2,-5,-3]=>[1,-3,-5,2,-4]=>[1,3,5,2,4]=>1000
[1,-4,2,5,3]=>[1,3,5,-2,4]=>[1,3,5,2,4]=>1000
[1,-4,2,5,-3]=>[1,3,-5,-2,4]=>[1,3,5,2,4]=>1000
[1,-4,2,-5,3]=>[1,3,5,-2,-4]=>[1,3,5,2,4]=>1000
[1,-4,2,-5,-3]=>[1,3,-5,-2,-4]=>[1,3,5,2,4]=>1000
[1,-4,-2,5,3]=>[1,-3,5,-2,4]=>[1,3,5,2,4]=>1000
[1,-4,-2,5,-3]=>[1,-3,-5,-2,4]=>[1,3,5,2,4]=>1000
[1,-4,-2,-5,3]=>[1,-3,5,-2,-4]=>[1,3,5,2,4]=>1000
[1,-4,-2,-5,-3]=>[1,-3,-5,-2,-4]=>[1,3,5,2,4]=>1000
[-1,4,2,5,3]=>[-1,3,5,2,4]=>[1,3,5,2,4]=>1000
[-1,4,2,5,-3]=>[-1,3,-5,2,4]=>[1,3,5,2,4]=>1000
[-1,4,2,-5,3]=>[-1,3,5,2,-4]=>[1,3,5,2,4]=>1000
[-1,4,2,-5,-3]=>[-1,3,-5,2,-4]=>[1,3,5,2,4]=>1000
[-1,4,-2,5,3]=>[-1,-3,5,2,4]=>[1,3,5,2,4]=>1000
[-1,4,-2,5,-3]=>[-1,-3,-5,2,4]=>[1,3,5,2,4]=>1000
[-1,4,-2,-5,3]=>[-1,-3,5,2,-4]=>[1,3,5,2,4]=>1000
[-1,4,-2,-5,-3]=>[-1,-3,-5,2,-4]=>[1,3,5,2,4]=>1000
[-1,-4,2,5,3]=>[-1,3,5,-2,4]=>[1,3,5,2,4]=>1000
[-1,-4,2,5,-3]=>[-1,3,-5,-2,4]=>[1,3,5,2,4]=>1000
[-1,-4,2,-5,3]=>[-1,3,5,-2,-4]=>[1,3,5,2,4]=>1000
[-1,-4,2,-5,-3]=>[-1,3,-5,-2,-4]=>[1,3,5,2,4]=>1000
[-1,-4,-2,5,3]=>[-1,-3,5,-2,4]=>[1,3,5,2,4]=>1000
[-1,-4,-2,5,-3]=>[-1,-3,-5,-2,4]=>[1,3,5,2,4]=>1000
[-1,-4,-2,-5,3]=>[-1,-3,5,-2,-4]=>[1,3,5,2,4]=>1000
[-1,-4,-2,-5,-3]=>[-1,-3,-5,-2,-4]=>[1,3,5,2,4]=>1000
[1,4,3,2,5]=>[1,4,3,2,5]=>[1,4,3,2,5]=>1001
[1,4,3,2,-5]=>[1,4,3,2,-5]=>[1,4,3,2,5]=>1001
[1,4,3,-2,5]=>[1,-4,3,2,5]=>[1,4,3,2,5]=>1001
[1,4,3,-2,-5]=>[1,-4,3,2,-5]=>[1,4,3,2,5]=>1001
[1,4,-3,2,5]=>[1,4,-3,2,5]=>[1,4,3,2,5]=>1001
[1,4,-3,2,-5]=>[1,4,-3,2,-5]=>[1,4,3,2,5]=>1001
[1,4,-3,-2,5]=>[1,-4,-3,2,5]=>[1,4,3,2,5]=>1001
[1,4,-3,-2,-5]=>[1,-4,-3,2,-5]=>[1,4,3,2,5]=>1001
[1,-4,3,2,5]=>[1,4,3,-2,5]=>[1,4,3,2,5]=>1001
[1,-4,3,2,-5]=>[1,4,3,-2,-5]=>[1,4,3,2,5]=>1001
[1,-4,3,-2,5]=>[1,-4,3,-2,5]=>[1,4,3,2,5]=>1001
[1,-4,3,-2,-5]=>[1,-4,3,-2,-5]=>[1,4,3,2,5]=>1001
[1,-4,-3,2,5]=>[1,4,-3,-2,5]=>[1,4,3,2,5]=>1001
[1,-4,-3,2,-5]=>[1,4,-3,-2,-5]=>[1,4,3,2,5]=>1001
[1,-4,-3,-2,5]=>[1,-4,-3,-2,5]=>[1,4,3,2,5]=>1001
[1,-4,-3,-2,-5]=>[1,-4,-3,-2,-5]=>[1,4,3,2,5]=>1001
[-1,4,3,2,5]=>[-1,4,3,2,5]=>[1,4,3,2,5]=>1001
[-1,4,3,2,-5]=>[-1,4,3,2,-5]=>[1,4,3,2,5]=>1001
[-1,4,3,-2,5]=>[-1,-4,3,2,5]=>[1,4,3,2,5]=>1001
[-1,4,3,-2,-5]=>[-1,-4,3,2,-5]=>[1,4,3,2,5]=>1001
[-1,4,-3,2,5]=>[-1,4,-3,2,5]=>[1,4,3,2,5]=>1001
[-1,4,-3,2,-5]=>[-1,4,-3,2,-5]=>[1,4,3,2,5]=>1001
[-1,4,-3,-2,5]=>[-1,-4,-3,2,5]=>[1,4,3,2,5]=>1001
[-1,4,-3,-2,-5]=>[-1,-4,-3,2,-5]=>[1,4,3,2,5]=>1001
[-1,-4,3,2,5]=>[-1,4,3,-2,5]=>[1,4,3,2,5]=>1001
[-1,-4,3,2,-5]=>[-1,4,3,-2,-5]=>[1,4,3,2,5]=>1001
[-1,-4,3,-2,5]=>[-1,-4,3,-2,5]=>[1,4,3,2,5]=>1001
[-1,-4,3,-2,-5]=>[-1,-4,3,-2,-5]=>[1,4,3,2,5]=>1001
[-1,-4,-3,2,5]=>[-1,4,-3,-2,5]=>[1,4,3,2,5]=>1001
[-1,-4,-3,2,-5]=>[-1,4,-3,-2,-5]=>[1,4,3,2,5]=>1001
[-1,-4,-3,-2,5]=>[-1,-4,-3,-2,5]=>[1,4,3,2,5]=>1001
[-1,-4,-3,-2,-5]=>[-1,-4,-3,-2,-5]=>[1,4,3,2,5]=>1001
[1,4,3,5,2]=>[1,5,3,2,4]=>[1,5,3,2,4]=>1000
[1,4,3,5,-2]=>[1,-5,3,2,4]=>[1,5,3,2,4]=>1000
[1,4,3,-5,2]=>[1,5,3,2,-4]=>[1,5,3,2,4]=>1000
[1,4,3,-5,-2]=>[1,-5,3,2,-4]=>[1,5,3,2,4]=>1000
[1,4,-3,5,2]=>[1,5,-3,2,4]=>[1,5,3,2,4]=>1000
[1,4,-3,5,-2]=>[1,-5,-3,2,4]=>[1,5,3,2,4]=>1000
[1,4,-3,-5,2]=>[1,5,-3,2,-4]=>[1,5,3,2,4]=>1000
[1,4,-3,-5,-2]=>[1,-5,-3,2,-4]=>[1,5,3,2,4]=>1000
[1,-4,3,5,2]=>[1,5,3,-2,4]=>[1,5,3,2,4]=>1000
[1,-4,3,5,-2]=>[1,-5,3,-2,4]=>[1,5,3,2,4]=>1000
[1,-4,3,-5,2]=>[1,5,3,-2,-4]=>[1,5,3,2,4]=>1000
[1,-4,3,-5,-2]=>[1,-5,3,-2,-4]=>[1,5,3,2,4]=>1000
[1,-4,-3,5,2]=>[1,5,-3,-2,4]=>[1,5,3,2,4]=>1000
[1,-4,-3,5,-2]=>[1,-5,-3,-2,4]=>[1,5,3,2,4]=>1000
[1,-4,-3,-5,2]=>[1,5,-3,-2,-4]=>[1,5,3,2,4]=>1000
[1,-4,-3,-5,-2]=>[1,-5,-3,-2,-4]=>[1,5,3,2,4]=>1000
[-1,4,3,5,2]=>[-1,5,3,2,4]=>[1,5,3,2,4]=>1000
[-1,4,3,5,-2]=>[-1,-5,3,2,4]=>[1,5,3,2,4]=>1000
[-1,4,3,-5,2]=>[-1,5,3,2,-4]=>[1,5,3,2,4]=>1000
[-1,4,3,-5,-2]=>[-1,-5,3,2,-4]=>[1,5,3,2,4]=>1000
[-1,4,-3,5,2]=>[-1,5,-3,2,4]=>[1,5,3,2,4]=>1000
[-1,4,-3,5,-2]=>[-1,-5,-3,2,4]=>[1,5,3,2,4]=>1000
[-1,4,-3,-5,2]=>[-1,5,-3,2,-4]=>[1,5,3,2,4]=>1000
[-1,4,-3,-5,-2]=>[-1,-5,-3,2,-4]=>[1,5,3,2,4]=>1000
[-1,-4,3,5,2]=>[-1,5,3,-2,4]=>[1,5,3,2,4]=>1000
[-1,-4,3,5,-2]=>[-1,-5,3,-2,4]=>[1,5,3,2,4]=>1000
[-1,-4,3,-5,2]=>[-1,5,3,-2,-4]=>[1,5,3,2,4]=>1000
[-1,-4,3,-5,-2]=>[-1,-5,3,-2,-4]=>[1,5,3,2,4]=>1000
[-1,-4,-3,5,2]=>[-1,5,-3,-2,4]=>[1,5,3,2,4]=>1000
[-1,-4,-3,5,-2]=>[-1,-5,-3,-2,4]=>[1,5,3,2,4]=>1000
[-1,-4,-3,-5,2]=>[-1,5,-3,-2,-4]=>[1,5,3,2,4]=>1000
[-1,-4,-3,-5,-2]=>[-1,-5,-3,-2,-4]=>[1,5,3,2,4]=>1000
[1,4,5,2,3]=>[1,4,5,2,3]=>[1,4,5,2,3]=>1000
[1,4,5,2,-3]=>[1,4,-5,2,3]=>[1,4,5,2,3]=>1000
[1,4,5,-2,3]=>[1,-4,5,2,3]=>[1,4,5,2,3]=>1000
[1,4,5,-2,-3]=>[1,-4,-5,2,3]=>[1,4,5,2,3]=>1000
[1,4,-5,2,3]=>[1,4,5,2,-3]=>[1,4,5,2,3]=>1000
[1,4,-5,2,-3]=>[1,4,-5,2,-3]=>[1,4,5,2,3]=>1000
[1,4,-5,-2,3]=>[1,-4,5,2,-3]=>[1,4,5,2,3]=>1000
[1,4,-5,-2,-3]=>[1,-4,-5,2,-3]=>[1,4,5,2,3]=>1000
[1,-4,5,2,3]=>[1,4,5,-2,3]=>[1,4,5,2,3]=>1000
[1,-4,5,2,-3]=>[1,4,-5,-2,3]=>[1,4,5,2,3]=>1000
[1,-4,5,-2,3]=>[1,-4,5,-2,3]=>[1,4,5,2,3]=>1000
[1,-4,5,-2,-3]=>[1,-4,-5,-2,3]=>[1,4,5,2,3]=>1000
[1,-4,-5,2,3]=>[1,4,5,-2,-3]=>[1,4,5,2,3]=>1000
[1,-4,-5,2,-3]=>[1,4,-5,-2,-3]=>[1,4,5,2,3]=>1000
[1,-4,-5,-2,3]=>[1,-4,5,-2,-3]=>[1,4,5,2,3]=>1000
[1,-4,-5,-2,-3]=>[1,-4,-5,-2,-3]=>[1,4,5,2,3]=>1000
[-1,4,5,2,3]=>[-1,4,5,2,3]=>[1,4,5,2,3]=>1000
[-1,4,5,2,-3]=>[-1,4,-5,2,3]=>[1,4,5,2,3]=>1000
[-1,4,5,-2,3]=>[-1,-4,5,2,3]=>[1,4,5,2,3]=>1000
[-1,4,5,-2,-3]=>[-1,-4,-5,2,3]=>[1,4,5,2,3]=>1000
[-1,4,-5,2,3]=>[-1,4,5,2,-3]=>[1,4,5,2,3]=>1000
[-1,4,-5,2,-3]=>[-1,4,-5,2,-3]=>[1,4,5,2,3]=>1000
[-1,4,-5,-2,3]=>[-1,-4,5,2,-3]=>[1,4,5,2,3]=>1000
[-1,4,-5,-2,-3]=>[-1,-4,-5,2,-3]=>[1,4,5,2,3]=>1000
[-1,-4,5,2,3]=>[-1,4,5,-2,3]=>[1,4,5,2,3]=>1000
[-1,-4,5,2,-3]=>[-1,4,-5,-2,3]=>[1,4,5,2,3]=>1000
[-1,-4,5,-2,3]=>[-1,-4,5,-2,3]=>[1,4,5,2,3]=>1000
[-1,-4,5,-2,-3]=>[-1,-4,-5,-2,3]=>[1,4,5,2,3]=>1000
[-1,-4,-5,2,3]=>[-1,4,5,-2,-3]=>[1,4,5,2,3]=>1000
[-1,-4,-5,2,-3]=>[-1,4,-5,-2,-3]=>[1,4,5,2,3]=>1000
[-1,-4,-5,-2,3]=>[-1,-4,5,-2,-3]=>[1,4,5,2,3]=>1000
[-1,-4,-5,-2,-3]=>[-1,-4,-5,-2,-3]=>[1,4,5,2,3]=>1000
[1,4,5,3,2]=>[1,5,4,2,3]=>[1,5,4,2,3]=>1000
[1,4,5,3,-2]=>[1,-5,4,2,3]=>[1,5,4,2,3]=>1000
[1,4,5,-3,2]=>[1,5,-4,2,3]=>[1,5,4,2,3]=>1000
[1,4,5,-3,-2]=>[1,-5,-4,2,3]=>[1,5,4,2,3]=>1000
[1,4,-5,3,2]=>[1,5,4,2,-3]=>[1,5,4,2,3]=>1000
[1,4,-5,3,-2]=>[1,-5,4,2,-3]=>[1,5,4,2,3]=>1000
[1,4,-5,-3,2]=>[1,5,-4,2,-3]=>[1,5,4,2,3]=>1000
[1,4,-5,-3,-2]=>[1,-5,-4,2,-3]=>[1,5,4,2,3]=>1000
[1,-4,5,3,2]=>[1,5,4,-2,3]=>[1,5,4,2,3]=>1000
[1,-4,5,3,-2]=>[1,-5,4,-2,3]=>[1,5,4,2,3]=>1000
[1,-4,5,-3,2]=>[1,5,-4,-2,3]=>[1,5,4,2,3]=>1000
[1,-4,5,-3,-2]=>[1,-5,-4,-2,3]=>[1,5,4,2,3]=>1000
[1,-4,-5,3,2]=>[1,5,4,-2,-3]=>[1,5,4,2,3]=>1000
[1,-4,-5,3,-2]=>[1,-5,4,-2,-3]=>[1,5,4,2,3]=>1000
[1,-4,-5,-3,2]=>[1,5,-4,-2,-3]=>[1,5,4,2,3]=>1000
[1,-4,-5,-3,-2]=>[1,-5,-4,-2,-3]=>[1,5,4,2,3]=>1000
[-1,4,5,3,2]=>[-1,5,4,2,3]=>[1,5,4,2,3]=>1000
[-1,4,5,3,-2]=>[-1,-5,4,2,3]=>[1,5,4,2,3]=>1000
[-1,4,5,-3,2]=>[-1,5,-4,2,3]=>[1,5,4,2,3]=>1000
[-1,4,5,-3,-2]=>[-1,-5,-4,2,3]=>[1,5,4,2,3]=>1000
[-1,4,-5,3,2]=>[-1,5,4,2,-3]=>[1,5,4,2,3]=>1000
[-1,4,-5,3,-2]=>[-1,-5,4,2,-3]=>[1,5,4,2,3]=>1000
[-1,4,-5,-3,2]=>[-1,5,-4,2,-3]=>[1,5,4,2,3]=>1000
[-1,4,-5,-3,-2]=>[-1,-5,-4,2,-3]=>[1,5,4,2,3]=>1000
[-1,-4,5,3,2]=>[-1,5,4,-2,3]=>[1,5,4,2,3]=>1000
[-1,-4,5,3,-2]=>[-1,-5,4,-2,3]=>[1,5,4,2,3]=>1000
[-1,-4,5,-3,2]=>[-1,5,-4,-2,3]=>[1,5,4,2,3]=>1000
[-1,-4,5,-3,-2]=>[-1,-5,-4,-2,3]=>[1,5,4,2,3]=>1000
[-1,-4,-5,3,2]=>[-1,5,4,-2,-3]=>[1,5,4,2,3]=>1000
[-1,-4,-5,3,-2]=>[-1,-5,4,-2,-3]=>[1,5,4,2,3]=>1000
[-1,-4,-5,-3,2]=>[-1,5,-4,-2,-3]=>[1,5,4,2,3]=>1000
[-1,-4,-5,-3,-2]=>[-1,-5,-4,-2,-3]=>[1,5,4,2,3]=>1000
[1,5,2,3,4]=>[1,3,4,5,2]=>[1,3,4,5,2]=>1000
[1,5,2,3,-4]=>[1,3,4,-5,2]=>[1,3,4,5,2]=>1000
[1,5,2,-3,4]=>[1,3,-4,5,2]=>[1,3,4,5,2]=>1000
[1,5,2,-3,-4]=>[1,3,-4,-5,2]=>[1,3,4,5,2]=>1000
[1,5,-2,3,4]=>[1,-3,4,5,2]=>[1,3,4,5,2]=>1000
[1,5,-2,3,-4]=>[1,-3,4,-5,2]=>[1,3,4,5,2]=>1000
[1,5,-2,-3,4]=>[1,-3,-4,5,2]=>[1,3,4,5,2]=>1000
[1,5,-2,-3,-4]=>[1,-3,-4,-5,2]=>[1,3,4,5,2]=>1000
[1,-5,2,3,4]=>[1,3,4,5,-2]=>[1,3,4,5,2]=>1000
[1,-5,2,3,-4]=>[1,3,4,-5,-2]=>[1,3,4,5,2]=>1000
[1,-5,2,-3,4]=>[1,3,-4,5,-2]=>[1,3,4,5,2]=>1000
[1,-5,2,-3,-4]=>[1,3,-4,-5,-2]=>[1,3,4,5,2]=>1000
[1,-5,-2,3,4]=>[1,-3,4,5,-2]=>[1,3,4,5,2]=>1000
[1,-5,-2,3,-4]=>[1,-3,4,-5,-2]=>[1,3,4,5,2]=>1000
[1,-5,-2,-3,4]=>[1,-3,-4,5,-2]=>[1,3,4,5,2]=>1000
[1,-5,-2,-3,-4]=>[1,-3,-4,-5,-2]=>[1,3,4,5,2]=>1000
[-1,5,2,3,4]=>[-1,3,4,5,2]=>[1,3,4,5,2]=>1000
[-1,5,2,3,-4]=>[-1,3,4,-5,2]=>[1,3,4,5,2]=>1000
[-1,5,2,-3,4]=>[-1,3,-4,5,2]=>[1,3,4,5,2]=>1000
[-1,5,2,-3,-4]=>[-1,3,-4,-5,2]=>[1,3,4,5,2]=>1000
[-1,5,-2,3,4]=>[-1,-3,4,5,2]=>[1,3,4,5,2]=>1000
[-1,5,-2,3,-4]=>[-1,-3,4,-5,2]=>[1,3,4,5,2]=>1000
[-1,5,-2,-3,4]=>[-1,-3,-4,5,2]=>[1,3,4,5,2]=>1000
[-1,5,-2,-3,-4]=>[-1,-3,-4,-5,2]=>[1,3,4,5,2]=>1000
[-1,-5,2,3,4]=>[-1,3,4,5,-2]=>[1,3,4,5,2]=>1000
[-1,-5,2,3,-4]=>[-1,3,4,-5,-2]=>[1,3,4,5,2]=>1000
[-1,-5,2,-3,4]=>[-1,3,-4,5,-2]=>[1,3,4,5,2]=>1000
[-1,-5,2,-3,-4]=>[-1,3,-4,-5,-2]=>[1,3,4,5,2]=>1000
[-1,-5,-2,3,4]=>[-1,-3,4,5,-2]=>[1,3,4,5,2]=>1000
[-1,-5,-2,3,-4]=>[-1,-3,4,-5,-2]=>[1,3,4,5,2]=>1000
[-1,-5,-2,-3,4]=>[-1,-3,-4,5,-2]=>[1,3,4,5,2]=>1000
[-1,-5,-2,-3,-4]=>[-1,-3,-4,-5,-2]=>[1,3,4,5,2]=>1000
[1,5,2,4,3]=>[1,3,5,4,2]=>[1,3,5,4,2]=>1000
[1,5,2,4,-3]=>[1,3,-5,4,2]=>[1,3,5,4,2]=>1000
[1,5,2,-4,3]=>[1,3,5,-4,2]=>[1,3,5,4,2]=>1000
[1,5,2,-4,-3]=>[1,3,-5,-4,2]=>[1,3,5,4,2]=>1000
[1,5,-2,4,3]=>[1,-3,5,4,2]=>[1,3,5,4,2]=>1000
[1,5,-2,4,-3]=>[1,-3,-5,4,2]=>[1,3,5,4,2]=>1000
[1,5,-2,-4,3]=>[1,-3,5,-4,2]=>[1,3,5,4,2]=>1000
[1,5,-2,-4,-3]=>[1,-3,-5,-4,2]=>[1,3,5,4,2]=>1000
[1,-5,2,4,3]=>[1,3,5,4,-2]=>[1,3,5,4,2]=>1000
[1,-5,2,4,-3]=>[1,3,-5,4,-2]=>[1,3,5,4,2]=>1000
[1,-5,2,-4,3]=>[1,3,5,-4,-2]=>[1,3,5,4,2]=>1000
[1,-5,2,-4,-3]=>[1,3,-5,-4,-2]=>[1,3,5,4,2]=>1000
[1,-5,-2,4,3]=>[1,-3,5,4,-2]=>[1,3,5,4,2]=>1000
[1,-5,-2,4,-3]=>[1,-3,-5,4,-2]=>[1,3,5,4,2]=>1000
[1,-5,-2,-4,3]=>[1,-3,5,-4,-2]=>[1,3,5,4,2]=>1000
[1,-5,-2,-4,-3]=>[1,-3,-5,-4,-2]=>[1,3,5,4,2]=>1000
[-1,5,2,4,3]=>[-1,3,5,4,2]=>[1,3,5,4,2]=>1000
[-1,5,2,4,-3]=>[-1,3,-5,4,2]=>[1,3,5,4,2]=>1000
[-1,5,2,-4,3]=>[-1,3,5,-4,2]=>[1,3,5,4,2]=>1000
[-1,5,2,-4,-3]=>[-1,3,-5,-4,2]=>[1,3,5,4,2]=>1000
[-1,5,-2,4,3]=>[-1,-3,5,4,2]=>[1,3,5,4,2]=>1000
[-1,5,-2,4,-3]=>[-1,-3,-5,4,2]=>[1,3,5,4,2]=>1000
[-1,5,-2,-4,3]=>[-1,-3,5,-4,2]=>[1,3,5,4,2]=>1000
[-1,5,-2,-4,-3]=>[-1,-3,-5,-4,2]=>[1,3,5,4,2]=>1000
[-1,-5,2,4,3]=>[-1,3,5,4,-2]=>[1,3,5,4,2]=>1000
[-1,-5,2,4,-3]=>[-1,3,-5,4,-2]=>[1,3,5,4,2]=>1000
[-1,-5,2,-4,3]=>[-1,3,5,-4,-2]=>[1,3,5,4,2]=>1000
[-1,-5,2,-4,-3]=>[-1,3,-5,-4,-2]=>[1,3,5,4,2]=>1000
[-1,-5,-2,4,3]=>[-1,-3,5,4,-2]=>[1,3,5,4,2]=>1000
[-1,-5,-2,4,-3]=>[-1,-3,-5,4,-2]=>[1,3,5,4,2]=>1000
[-1,-5,-2,-4,3]=>[-1,-3,5,-4,-2]=>[1,3,5,4,2]=>1000
[-1,-5,-2,-4,-3]=>[-1,-3,-5,-4,-2]=>[1,3,5,4,2]=>1000
[1,5,3,2,4]=>[1,4,3,5,2]=>[1,4,3,5,2]=>1000
[1,5,3,2,-4]=>[1,4,3,-5,2]=>[1,4,3,5,2]=>1000
[1,5,3,-2,4]=>[1,-4,3,5,2]=>[1,4,3,5,2]=>1000
[1,5,3,-2,-4]=>[1,-4,3,-5,2]=>[1,4,3,5,2]=>1000
[1,5,-3,2,4]=>[1,4,-3,5,2]=>[1,4,3,5,2]=>1000
[1,5,-3,2,-4]=>[1,4,-3,-5,2]=>[1,4,3,5,2]=>1000
[1,5,-3,-2,4]=>[1,-4,-3,5,2]=>[1,4,3,5,2]=>1000
[1,5,-3,-2,-4]=>[1,-4,-3,-5,2]=>[1,4,3,5,2]=>1000
[1,-5,3,2,4]=>[1,4,3,5,-2]=>[1,4,3,5,2]=>1000
[1,-5,3,2,-4]=>[1,4,3,-5,-2]=>[1,4,3,5,2]=>1000
[1,-5,3,-2,4]=>[1,-4,3,5,-2]=>[1,4,3,5,2]=>1000
[1,-5,3,-2,-4]=>[1,-4,3,-5,-2]=>[1,4,3,5,2]=>1000
[1,-5,-3,2,4]=>[1,4,-3,5,-2]=>[1,4,3,5,2]=>1000
[1,-5,-3,2,-4]=>[1,4,-3,-5,-2]=>[1,4,3,5,2]=>1000
[1,-5,-3,-2,4]=>[1,-4,-3,5,-2]=>[1,4,3,5,2]=>1000
[1,-5,-3,-2,-4]=>[1,-4,-3,-5,-2]=>[1,4,3,5,2]=>1000
[-1,5,3,2,4]=>[-1,4,3,5,2]=>[1,4,3,5,2]=>1000
[-1,5,3,2,-4]=>[-1,4,3,-5,2]=>[1,4,3,5,2]=>1000
[-1,5,3,-2,4]=>[-1,-4,3,5,2]=>[1,4,3,5,2]=>1000
[-1,5,3,-2,-4]=>[-1,-4,3,-5,2]=>[1,4,3,5,2]=>1000
[-1,5,-3,2,4]=>[-1,4,-3,5,2]=>[1,4,3,5,2]=>1000
[-1,5,-3,2,-4]=>[-1,4,-3,-5,2]=>[1,4,3,5,2]=>1000
[-1,5,-3,-2,4]=>[-1,-4,-3,5,2]=>[1,4,3,5,2]=>1000
[-1,5,-3,-2,-4]=>[-1,-4,-3,-5,2]=>[1,4,3,5,2]=>1000
[-1,-5,3,2,4]=>[-1,4,3,5,-2]=>[1,4,3,5,2]=>1000
[-1,-5,3,2,-4]=>[-1,4,3,-5,-2]=>[1,4,3,5,2]=>1000
[-1,-5,3,-2,4]=>[-1,-4,3,5,-2]=>[1,4,3,5,2]=>1000
[-1,-5,3,-2,-4]=>[-1,-4,3,-5,-2]=>[1,4,3,5,2]=>1000
[-1,-5,-3,2,4]=>[-1,4,-3,5,-2]=>[1,4,3,5,2]=>1000
[-1,-5,-3,2,-4]=>[-1,4,-3,-5,-2]=>[1,4,3,5,2]=>1000
[-1,-5,-3,-2,4]=>[-1,-4,-3,5,-2]=>[1,4,3,5,2]=>1000
[-1,-5,-3,-2,-4]=>[-1,-4,-3,-5,-2]=>[1,4,3,5,2]=>1000
[1,5,3,4,2]=>[1,5,3,4,2]=>[1,5,3,4,2]=>1000
[1,5,3,4,-2]=>[1,-5,3,4,2]=>[1,5,3,4,2]=>1000
[1,5,3,-4,2]=>[1,5,3,-4,2]=>[1,5,3,4,2]=>1000
[1,5,3,-4,-2]=>[1,-5,3,-4,2]=>[1,5,3,4,2]=>1000
[1,5,-3,4,2]=>[1,5,-3,4,2]=>[1,5,3,4,2]=>1000
[1,5,-3,4,-2]=>[1,-5,-3,4,2]=>[1,5,3,4,2]=>1000
[1,5,-3,-4,2]=>[1,5,-3,-4,2]=>[1,5,3,4,2]=>1000
[1,5,-3,-4,-2]=>[1,-5,-3,-4,2]=>[1,5,3,4,2]=>1000
[1,-5,3,4,2]=>[1,5,3,4,-2]=>[1,5,3,4,2]=>1000
[1,-5,3,4,-2]=>[1,-5,3,4,-2]=>[1,5,3,4,2]=>1000
[1,-5,3,-4,2]=>[1,5,3,-4,-2]=>[1,5,3,4,2]=>1000
[1,-5,3,-4,-2]=>[1,-5,3,-4,-2]=>[1,5,3,4,2]=>1000
[1,-5,-3,4,2]=>[1,5,-3,4,-2]=>[1,5,3,4,2]=>1000
[1,-5,-3,4,-2]=>[1,-5,-3,4,-2]=>[1,5,3,4,2]=>1000
[1,-5,-3,-4,2]=>[1,5,-3,-4,-2]=>[1,5,3,4,2]=>1000
[1,-5,-3,-4,-2]=>[1,-5,-3,-4,-2]=>[1,5,3,4,2]=>1000
[-1,5,3,4,2]=>[-1,5,3,4,2]=>[1,5,3,4,2]=>1000
[-1,5,3,4,-2]=>[-1,-5,3,4,2]=>[1,5,3,4,2]=>1000
[-1,5,3,-4,2]=>[-1,5,3,-4,2]=>[1,5,3,4,2]=>1000
[-1,5,3,-4,-2]=>[-1,-5,3,-4,2]=>[1,5,3,4,2]=>1000
[-1,5,-3,4,2]=>[-1,5,-3,4,2]=>[1,5,3,4,2]=>1000
[-1,5,-3,4,-2]=>[-1,-5,-3,4,2]=>[1,5,3,4,2]=>1000
[-1,5,-3,-4,2]=>[-1,5,-3,-4,2]=>[1,5,3,4,2]=>1000
[-1,5,-3,-4,-2]=>[-1,-5,-3,-4,2]=>[1,5,3,4,2]=>1000
[-1,-5,3,4,2]=>[-1,5,3,4,-2]=>[1,5,3,4,2]=>1000
[-1,-5,3,4,-2]=>[-1,-5,3,4,-2]=>[1,5,3,4,2]=>1000
[-1,-5,3,-4,2]=>[-1,5,3,-4,-2]=>[1,5,3,4,2]=>1000
[-1,-5,3,-4,-2]=>[-1,-5,3,-4,-2]=>[1,5,3,4,2]=>1000
[-1,-5,-3,4,2]=>[-1,5,-3,4,-2]=>[1,5,3,4,2]=>1000
[-1,-5,-3,4,-2]=>[-1,-5,-3,4,-2]=>[1,5,3,4,2]=>1000
[-1,-5,-3,-4,2]=>[-1,5,-3,-4,-2]=>[1,5,3,4,2]=>1000
[-1,-5,-3,-4,-2]=>[-1,-5,-3,-4,-2]=>[1,5,3,4,2]=>1000
[1,5,4,2,3]=>[1,4,5,3,2]=>[1,4,5,3,2]=>1000
[1,5,4,2,-3]=>[1,4,-5,3,2]=>[1,4,5,3,2]=>1000
[1,5,4,-2,3]=>[1,-4,5,3,2]=>[1,4,5,3,2]=>1000
[1,5,4,-2,-3]=>[1,-4,-5,3,2]=>[1,4,5,3,2]=>1000
[1,5,-4,2,3]=>[1,4,5,-3,2]=>[1,4,5,3,2]=>1000
[1,5,-4,2,-3]=>[1,4,-5,-3,2]=>[1,4,5,3,2]=>1000
[1,5,-4,-2,3]=>[1,-4,5,-3,2]=>[1,4,5,3,2]=>1000
[1,5,-4,-2,-3]=>[1,-4,-5,-3,2]=>[1,4,5,3,2]=>1000
[1,-5,4,2,3]=>[1,4,5,3,-2]=>[1,4,5,3,2]=>1000
[1,-5,4,2,-3]=>[1,4,-5,3,-2]=>[1,4,5,3,2]=>1000
[1,-5,4,-2,3]=>[1,-4,5,3,-2]=>[1,4,5,3,2]=>1000
[1,-5,4,-2,-3]=>[1,-4,-5,3,-2]=>[1,4,5,3,2]=>1000
[1,-5,-4,2,3]=>[1,4,5,-3,-2]=>[1,4,5,3,2]=>1000
[1,-5,-4,2,-3]=>[1,4,-5,-3,-2]=>[1,4,5,3,2]=>1000
[1,-5,-4,-2,3]=>[1,-4,5,-3,-2]=>[1,4,5,3,2]=>1000
[1,-5,-4,-2,-3]=>[1,-4,-5,-3,-2]=>[1,4,5,3,2]=>1000
[-1,5,4,2,3]=>[-1,4,5,3,2]=>[1,4,5,3,2]=>1000
[-1,5,4,2,-3]=>[-1,4,-5,3,2]=>[1,4,5,3,2]=>1000
[-1,5,4,-2,3]=>[-1,-4,5,3,2]=>[1,4,5,3,2]=>1000
[-1,5,4,-2,-3]=>[-1,-4,-5,3,2]=>[1,4,5,3,2]=>1000
[-1,5,-4,2,3]=>[-1,4,5,-3,2]=>[1,4,5,3,2]=>1000
[-1,5,-4,2,-3]=>[-1,4,-5,-3,2]=>[1,4,5,3,2]=>1000
[-1,5,-4,-2,3]=>[-1,-4,5,-3,2]=>[1,4,5,3,2]=>1000
[-1,5,-4,-2,-3]=>[-1,-4,-5,-3,2]=>[1,4,5,3,2]=>1000
[-1,-5,4,2,3]=>[-1,4,5,3,-2]=>[1,4,5,3,2]=>1000
[-1,-5,4,2,-3]=>[-1,4,-5,3,-2]=>[1,4,5,3,2]=>1000
[-1,-5,4,-2,3]=>[-1,-4,5,3,-2]=>[1,4,5,3,2]=>1000
[-1,-5,4,-2,-3]=>[-1,-4,-5,3,-2]=>[1,4,5,3,2]=>1000
[-1,-5,-4,2,3]=>[-1,4,5,-3,-2]=>[1,4,5,3,2]=>1000
[-1,-5,-4,2,-3]=>[-1,4,-5,-3,-2]=>[1,4,5,3,2]=>1000
[-1,-5,-4,-2,3]=>[-1,-4,5,-3,-2]=>[1,4,5,3,2]=>1000
[-1,-5,-4,-2,-3]=>[-1,-4,-5,-3,-2]=>[1,4,5,3,2]=>1000
[1,5,4,3,2]=>[1,5,4,3,2]=>[1,5,4,3,2]=>1000
[1,5,4,3,-2]=>[1,-5,4,3,2]=>[1,5,4,3,2]=>1000
[1,5,4,-3,2]=>[1,5,-4,3,2]=>[1,5,4,3,2]=>1000
[1,5,4,-3,-2]=>[1,-5,-4,3,2]=>[1,5,4,3,2]=>1000
[1,5,-4,3,2]=>[1,5,4,-3,2]=>[1,5,4,3,2]=>1000
[1,5,-4,3,-2]=>[1,-5,4,-3,2]=>[1,5,4,3,2]=>1000
[1,5,-4,-3,2]=>[1,5,-4,-3,2]=>[1,5,4,3,2]=>1000
[1,5,-4,-3,-2]=>[1,-5,-4,-3,2]=>[1,5,4,3,2]=>1000
[1,-5,4,3,2]=>[1,5,4,3,-2]=>[1,5,4,3,2]=>1000
[1,-5,4,3,-2]=>[1,-5,4,3,-2]=>[1,5,4,3,2]=>1000
[1,-5,4,-3,2]=>[1,5,-4,3,-2]=>[1,5,4,3,2]=>1000
[1,-5,4,-3,-2]=>[1,-5,-4,3,-2]=>[1,5,4,3,2]=>1000
[1,-5,-4,3,2]=>[1,5,4,-3,-2]=>[1,5,4,3,2]=>1000
[1,-5,-4,3,-2]=>[1,-5,4,-3,-2]=>[1,5,4,3,2]=>1000
[1,-5,-4,-3,2]=>[1,5,-4,-3,-2]=>[1,5,4,3,2]=>1000
[1,-5,-4,-3,-2]=>[1,-5,-4,-3,-2]=>[1,5,4,3,2]=>1000
[-1,5,4,3,2]=>[-1,5,4,3,2]=>[1,5,4,3,2]=>1000
[-1,5,4,3,-2]=>[-1,-5,4,3,2]=>[1,5,4,3,2]=>1000
[-1,5,4,-3,2]=>[-1,5,-4,3,2]=>[1,5,4,3,2]=>1000
[-1,5,4,-3,-2]=>[-1,-5,-4,3,2]=>[1,5,4,3,2]=>1000
[-1,5,-4,3,2]=>[-1,5,4,-3,2]=>[1,5,4,3,2]=>1000
[-1,5,-4,3,-2]=>[-1,-5,4,-3,2]=>[1,5,4,3,2]=>1000
[-1,5,-4,-3,2]=>[-1,5,-4,-3,2]=>[1,5,4,3,2]=>1000
[-1,5,-4,-3,-2]=>[-1,-5,-4,-3,2]=>[1,5,4,3,2]=>1000
[-1,-5,4,3,2]=>[-1,5,4,3,-2]=>[1,5,4,3,2]=>1000
[-1,-5,4,3,-2]=>[-1,-5,4,3,-2]=>[1,5,4,3,2]=>1000
[-1,-5,4,-3,2]=>[-1,5,-4,3,-2]=>[1,5,4,3,2]=>1000
[-1,-5,4,-3,-2]=>[-1,-5,-4,3,-2]=>[1,5,4,3,2]=>1000
[-1,-5,-4,3,2]=>[-1,5,4,-3,-2]=>[1,5,4,3,2]=>1000
[-1,-5,-4,3,-2]=>[-1,-5,4,-3,-2]=>[1,5,4,3,2]=>1000
[-1,-5,-4,-3,2]=>[-1,5,-4,-3,-2]=>[1,5,4,3,2]=>1000
[-1,-5,-4,-3,-2]=>[-1,-5,-4,-3,-2]=>[1,5,4,3,2]=>1000
[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>0111
[2,1,3,4,-5]=>[2,1,3,4,-5]=>[2,1,3,4,5]=>0111
[2,1,3,-4,5]=>[2,1,3,-4,5]=>[2,1,3,4,5]=>0111
[2,1,3,-4,-5]=>[2,1,3,-4,-5]=>[2,1,3,4,5]=>0111
[2,1,-3,4,5]=>[2,1,-3,4,5]=>[2,1,3,4,5]=>0111
[2,1,-3,4,-5]=>[2,1,-3,4,-5]=>[2,1,3,4,5]=>0111
[2,1,-3,-4,5]=>[2,1,-3,-4,5]=>[2,1,3,4,5]=>0111
[2,1,-3,-4,-5]=>[2,1,-3,-4,-5]=>[2,1,3,4,5]=>0111
[2,-1,3,4,5]=>[-2,1,3,4,5]=>[2,1,3,4,5]=>0111
[2,-1,3,4,-5]=>[-2,1,3,4,-5]=>[2,1,3,4,5]=>0111
[2,-1,3,-4,5]=>[-2,1,3,-4,5]=>[2,1,3,4,5]=>0111
[2,-1,3,-4,-5]=>[-2,1,3,-4,-5]=>[2,1,3,4,5]=>0111
[2,-1,-3,4,5]=>[-2,1,-3,4,5]=>[2,1,3,4,5]=>0111
[2,-1,-3,4,-5]=>[-2,1,-3,4,-5]=>[2,1,3,4,5]=>0111
[2,-1,-3,-4,5]=>[-2,1,-3,-4,5]=>[2,1,3,4,5]=>0111
[2,-1,-3,-4,-5]=>[-2,1,-3,-4,-5]=>[2,1,3,4,5]=>0111
[-2,1,3,4,5]=>[2,-1,3,4,5]=>[2,1,3,4,5]=>0111
[-2,1,3,4,-5]=>[2,-1,3,4,-5]=>[2,1,3,4,5]=>0111
[-2,1,3,-4,5]=>[2,-1,3,-4,5]=>[2,1,3,4,5]=>0111
[-2,1,3,-4,-5]=>[2,-1,3,-4,-5]=>[2,1,3,4,5]=>0111
[-2,1,-3,4,5]=>[2,-1,-3,4,5]=>[2,1,3,4,5]=>0111
[-2,1,-3,4,-5]=>[2,-1,-3,4,-5]=>[2,1,3,4,5]=>0111
[-2,1,-3,-4,5]=>[2,-1,-3,-4,5]=>[2,1,3,4,5]=>0111
[-2,1,-3,-4,-5]=>[2,-1,-3,-4,-5]=>[2,1,3,4,5]=>0111
[-2,-1,3,4,5]=>[-2,-1,3,4,5]=>[2,1,3,4,5]=>0111
[-2,-1,3,4,-5]=>[-2,-1,3,4,-5]=>[2,1,3,4,5]=>0111
[-2,-1,3,-4,5]=>[-2,-1,3,-4,5]=>[2,1,3,4,5]=>0111
[-2,-1,3,-4,-5]=>[-2,-1,3,-4,-5]=>[2,1,3,4,5]=>0111
[-2,-1,-3,4,5]=>[-2,-1,-3,4,5]=>[2,1,3,4,5]=>0111
[-2,-1,-3,4,-5]=>[-2,-1,-3,4,-5]=>[2,1,3,4,5]=>0111
[-2,-1,-3,-4,5]=>[-2,-1,-3,-4,5]=>[2,1,3,4,5]=>0111
[-2,-1,-3,-4,-5]=>[-2,-1,-3,-4,-5]=>[2,1,3,4,5]=>0111
[2,1,3,5,4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>0110
[2,1,3,5,-4]=>[2,1,3,-5,4]=>[2,1,3,5,4]=>0110
[2,1,3,-5,4]=>[2,1,3,5,-4]=>[2,1,3,5,4]=>0110
[2,1,3,-5,-4]=>[2,1,3,-5,-4]=>[2,1,3,5,4]=>0110
[2,1,-3,5,4]=>[2,1,-3,5,4]=>[2,1,3,5,4]=>0110
[2,1,-3,5,-4]=>[2,1,-3,-5,4]=>[2,1,3,5,4]=>0110
[2,1,-3,-5,4]=>[2,1,-3,5,-4]=>[2,1,3,5,4]=>0110
[2,1,-3,-5,-4]=>[2,1,-3,-5,-4]=>[2,1,3,5,4]=>0110
[2,-1,3,5,4]=>[-2,1,3,5,4]=>[2,1,3,5,4]=>0110
[2,-1,3,5,-4]=>[-2,1,3,-5,4]=>[2,1,3,5,4]=>0110
[2,-1,3,-5,4]=>[-2,1,3,5,-4]=>[2,1,3,5,4]=>0110
[2,-1,3,-5,-4]=>[-2,1,3,-5,-4]=>[2,1,3,5,4]=>0110
[2,-1,-3,5,4]=>[-2,1,-3,5,4]=>[2,1,3,5,4]=>0110
[2,-1,-3,5,-4]=>[-2,1,-3,-5,4]=>[2,1,3,5,4]=>0110
[2,-1,-3,-5,4]=>[-2,1,-3,5,-4]=>[2,1,3,5,4]=>0110
[2,-1,-3,-5,-4]=>[-2,1,-3,-5,-4]=>[2,1,3,5,4]=>0110
[-2,1,3,5,4]=>[2,-1,3,5,4]=>[2,1,3,5,4]=>0110
[-2,1,3,5,-4]=>[2,-1,3,-5,4]=>[2,1,3,5,4]=>0110
[-2,1,3,-5,4]=>[2,-1,3,5,-4]=>[2,1,3,5,4]=>0110
[-2,1,3,-5,-4]=>[2,-1,3,-5,-4]=>[2,1,3,5,4]=>0110
[-2,1,-3,5,4]=>[2,-1,-3,5,4]=>[2,1,3,5,4]=>0110
[-2,1,-3,5,-4]=>[2,-1,-3,-5,4]=>[2,1,3,5,4]=>0110
[-2,1,-3,-5,4]=>[2,-1,-3,5,-4]=>[2,1,3,5,4]=>0110
[-2,1,-3,-5,-4]=>[2,-1,-3,-5,-4]=>[2,1,3,5,4]=>0110
[-2,-1,3,5,4]=>[-2,-1,3,5,4]=>[2,1,3,5,4]=>0110
[-2,-1,3,5,-4]=>[-2,-1,3,-5,4]=>[2,1,3,5,4]=>0110
[-2,-1,3,-5,4]=>[-2,-1,3,5,-4]=>[2,1,3,5,4]=>0110
[-2,-1,3,-5,-4]=>[-2,-1,3,-5,-4]=>[2,1,3,5,4]=>0110
[-2,-1,-3,5,4]=>[-2,-1,-3,5,4]=>[2,1,3,5,4]=>0110
[-2,-1,-3,5,-4]=>[-2,-1,-3,-5,4]=>[2,1,3,5,4]=>0110
[-2,-1,-3,-5,4]=>[-2,-1,-3,5,-4]=>[2,1,3,5,4]=>0110
[-2,-1,-3,-5,-4]=>[-2,-1,-3,-5,-4]=>[2,1,3,5,4]=>0110
[2,1,4,3,5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>0101
[2,1,4,3,-5]=>[2,1,4,3,-5]=>[2,1,4,3,5]=>0101
[2,1,4,-3,5]=>[2,1,-4,3,5]=>[2,1,4,3,5]=>0101
[2,1,4,-3,-5]=>[2,1,-4,3,-5]=>[2,1,4,3,5]=>0101
[2,1,-4,3,5]=>[2,1,4,-3,5]=>[2,1,4,3,5]=>0101
[2,1,-4,3,-5]=>[2,1,4,-3,-5]=>[2,1,4,3,5]=>0101
[2,1,-4,-3,5]=>[2,1,-4,-3,5]=>[2,1,4,3,5]=>0101
[2,1,-4,-3,-5]=>[2,1,-4,-3,-5]=>[2,1,4,3,5]=>0101
[2,-1,4,3,5]=>[-2,1,4,3,5]=>[2,1,4,3,5]=>0101
[2,-1,4,3,-5]=>[-2,1,4,3,-5]=>[2,1,4,3,5]=>0101
[2,-1,4,-3,5]=>[-2,1,-4,3,5]=>[2,1,4,3,5]=>0101
[2,-1,4,-3,-5]=>[-2,1,-4,3,-5]=>[2,1,4,3,5]=>0101
[2,-1,-4,3,5]=>[-2,1,4,-3,5]=>[2,1,4,3,5]=>0101
[2,-1,-4,3,-5]=>[-2,1,4,-3,-5]=>[2,1,4,3,5]=>0101
[2,-1,-4,-3,5]=>[-2,1,-4,-3,5]=>[2,1,4,3,5]=>0101
[2,-1,-4,-3,-5]=>[-2,1,-4,-3,-5]=>[2,1,4,3,5]=>0101
[-2,1,4,3,5]=>[2,-1,4,3,5]=>[2,1,4,3,5]=>0101
[-2,1,4,3,-5]=>[2,-1,4,3,-5]=>[2,1,4,3,5]=>0101
[-2,1,4,-3,5]=>[2,-1,-4,3,5]=>[2,1,4,3,5]=>0101
[-2,1,4,-3,-5]=>[2,-1,-4,3,-5]=>[2,1,4,3,5]=>0101
[-2,1,-4,3,5]=>[2,-1,4,-3,5]=>[2,1,4,3,5]=>0101
[-2,1,-4,3,-5]=>[2,-1,4,-3,-5]=>[2,1,4,3,5]=>0101
[-2,1,-4,-3,5]=>[2,-1,-4,-3,5]=>[2,1,4,3,5]=>0101
[-2,1,-4,-3,-5]=>[2,-1,-4,-3,-5]=>[2,1,4,3,5]=>0101
[-2,-1,4,3,5]=>[-2,-1,4,3,5]=>[2,1,4,3,5]=>0101
[-2,-1,4,3,-5]=>[-2,-1,4,3,-5]=>[2,1,4,3,5]=>0101
[-2,-1,4,-3,5]=>[-2,-1,-4,3,5]=>[2,1,4,3,5]=>0101
[-2,-1,4,-3,-5]=>[-2,-1,-4,3,-5]=>[2,1,4,3,5]=>0101
[-2,-1,-4,3,5]=>[-2,-1,4,-3,5]=>[2,1,4,3,5]=>0101
[-2,-1,-4,3,-5]=>[-2,-1,4,-3,-5]=>[2,1,4,3,5]=>0101
[-2,-1,-4,-3,5]=>[-2,-1,-4,-3,5]=>[2,1,4,3,5]=>0101
[-2,-1,-4,-3,-5]=>[-2,-1,-4,-3,-5]=>[2,1,4,3,5]=>0101
[2,1,4,5,3]=>[2,1,5,3,4]=>[2,1,5,3,4]=>0100
[2,1,4,5,-3]=>[2,1,-5,3,4]=>[2,1,5,3,4]=>0100
[2,1,4,-5,3]=>[2,1,5,3,-4]=>[2,1,5,3,4]=>0100
[2,1,4,-5,-3]=>[2,1,-5,3,-4]=>[2,1,5,3,4]=>0100
[2,1,-4,5,3]=>[2,1,5,-3,4]=>[2,1,5,3,4]=>0100
[2,1,-4,5,-3]=>[2,1,-5,-3,4]=>[2,1,5,3,4]=>0100
[2,1,-4,-5,3]=>[2,1,5,-3,-4]=>[2,1,5,3,4]=>0100
[2,1,-4,-5,-3]=>[2,1,-5,-3,-4]=>[2,1,5,3,4]=>0100
[2,-1,4,5,3]=>[-2,1,5,3,4]=>[2,1,5,3,4]=>0100
[2,-1,4,5,-3]=>[-2,1,-5,3,4]=>[2,1,5,3,4]=>0100
[2,-1,4,-5,3]=>[-2,1,5,3,-4]=>[2,1,5,3,4]=>0100
[2,-1,4,-5,-3]=>[-2,1,-5,3,-4]=>[2,1,5,3,4]=>0100
[2,-1,-4,5,3]=>[-2,1,5,-3,4]=>[2,1,5,3,4]=>0100
[2,-1,-4,5,-3]=>[-2,1,-5,-3,4]=>[2,1,5,3,4]=>0100
[2,-1,-4,-5,3]=>[-2,1,5,-3,-4]=>[2,1,5,3,4]=>0100
[2,-1,-4,-5,-3]=>[-2,1,-5,-3,-4]=>[2,1,5,3,4]=>0100
[-2,1,4,5,3]=>[2,-1,5,3,4]=>[2,1,5,3,4]=>0100
[-2,1,4,5,-3]=>[2,-1,-5,3,4]=>[2,1,5,3,4]=>0100
[-2,1,4,-5,3]=>[2,-1,5,3,-4]=>[2,1,5,3,4]=>0100
[-2,1,4,-5,-3]=>[2,-1,-5,3,-4]=>[2,1,5,3,4]=>0100
[-2,1,-4,5,3]=>[2,-1,5,-3,4]=>[2,1,5,3,4]=>0100
[-2,1,-4,5,-3]=>[2,-1,-5,-3,4]=>[2,1,5,3,4]=>0100
[-2,1,-4,-5,3]=>[2,-1,5,-3,-4]=>[2,1,5,3,4]=>0100
[-2,1,-4,-5,-3]=>[2,-1,-5,-3,-4]=>[2,1,5,3,4]=>0100
[-2,-1,4,5,3]=>[-2,-1,5,3,4]=>[2,1,5,3,4]=>0100
[-2,-1,4,5,-3]=>[-2,-1,-5,3,4]=>[2,1,5,3,4]=>0100
[-2,-1,4,-5,3]=>[-2,-1,5,3,-4]=>[2,1,5,3,4]=>0100
[-2,-1,4,-5,-3]=>[-2,-1,-5,3,-4]=>[2,1,5,3,4]=>0100
[-2,-1,-4,5,3]=>[-2,-1,5,-3,4]=>[2,1,5,3,4]=>0100
[-2,-1,-4,5,-3]=>[-2,-1,-5,-3,4]=>[2,1,5,3,4]=>0100
[-2,-1,-4,-5,3]=>[-2,-1,5,-3,-4]=>[2,1,5,3,4]=>0100
[-2,-1,-4,-5,-3]=>[-2,-1,-5,-3,-4]=>[2,1,5,3,4]=>0100
[2,1,5,3,4]=>[2,1,4,5,3]=>[2,1,4,5,3]=>0100
[2,1,5,3,-4]=>[2,1,4,-5,3]=>[2,1,4,5,3]=>0100
[2,1,5,-3,4]=>[2,1,-4,5,3]=>[2,1,4,5,3]=>0100
[2,1,5,-3,-4]=>[2,1,-4,-5,3]=>[2,1,4,5,3]=>0100
[2,1,-5,3,4]=>[2,1,4,5,-3]=>[2,1,4,5,3]=>0100
[2,1,-5,3,-4]=>[2,1,4,-5,-3]=>[2,1,4,5,3]=>0100
[2,1,-5,-3,4]=>[2,1,-4,5,-3]=>[2,1,4,5,3]=>0100
[2,1,-5,-3,-4]=>[2,1,-4,-5,-3]=>[2,1,4,5,3]=>0100
[2,-1,5,3,4]=>[-2,1,4,5,3]=>[2,1,4,5,3]=>0100
[2,-1,5,3,-4]=>[-2,1,4,-5,3]=>[2,1,4,5,3]=>0100
[2,-1,5,-3,4]=>[-2,1,-4,5,3]=>[2,1,4,5,3]=>0100
[2,-1,5,-3,-4]=>[-2,1,-4,-5,3]=>[2,1,4,5,3]=>0100
[2,-1,-5,3,4]=>[-2,1,4,5,-3]=>[2,1,4,5,3]=>0100
[2,-1,-5,3,-4]=>[-2,1,4,-5,-3]=>[2,1,4,5,3]=>0100
[2,-1,-5,-3,4]=>[-2,1,-4,5,-3]=>[2,1,4,5,3]=>0100
[2,-1,-5,-3,-4]=>[-2,1,-4,-5,-3]=>[2,1,4,5,3]=>0100
[-2,1,5,3,4]=>[2,-1,4,5,3]=>[2,1,4,5,3]=>0100
[-2,1,5,3,-4]=>[2,-1,4,-5,3]=>[2,1,4,5,3]=>0100
[-2,1,5,-3,4]=>[2,-1,-4,5,3]=>[2,1,4,5,3]=>0100
[-2,1,5,-3,-4]=>[2,-1,-4,-5,3]=>[2,1,4,5,3]=>0100
[-2,1,-5,3,4]=>[2,-1,4,5,-3]=>[2,1,4,5,3]=>0100
[-2,1,-5,3,-4]=>[2,-1,4,-5,-3]=>[2,1,4,5,3]=>0100
[-2,1,-5,-3,4]=>[2,-1,-4,5,-3]=>[2,1,4,5,3]=>0100
[-2,1,-5,-3,-4]=>[2,-1,-4,-5,-3]=>[2,1,4,5,3]=>0100
[-2,-1,5,3,4]=>[-2,-1,4,5,3]=>[2,1,4,5,3]=>0100
[-2,-1,5,3,-4]=>[-2,-1,4,-5,3]=>[2,1,4,5,3]=>0100
[-2,-1,5,-3,4]=>[-2,-1,-4,5,3]=>[2,1,4,5,3]=>0100
[-2,-1,5,-3,-4]=>[-2,-1,-4,-5,3]=>[2,1,4,5,3]=>0100
[-2,-1,-5,3,4]=>[-2,-1,4,5,-3]=>[2,1,4,5,3]=>0100
[-2,-1,-5,3,-4]=>[-2,-1,4,-5,-3]=>[2,1,4,5,3]=>0100
[-2,-1,-5,-3,4]=>[-2,-1,-4,5,-3]=>[2,1,4,5,3]=>0100
[-2,-1,-5,-3,-4]=>[-2,-1,-4,-5,-3]=>[2,1,4,5,3]=>0100
[2,1,5,4,3]=>[2,1,5,4,3]=>[2,1,5,4,3]=>0100
[2,1,5,4,-3]=>[2,1,-5,4,3]=>[2,1,5,4,3]=>0100
[2,1,5,-4,3]=>[2,1,5,-4,3]=>[2,1,5,4,3]=>0100
[2,1,5,-4,-3]=>[2,1,-5,-4,3]=>[2,1,5,4,3]=>0100
[2,1,-5,4,3]=>[2,1,5,4,-3]=>[2,1,5,4,3]=>0100
[2,1,-5,4,-3]=>[2,1,-5,4,-3]=>[2,1,5,4,3]=>0100
[2,1,-5,-4,3]=>[2,1,5,-4,-3]=>[2,1,5,4,3]=>0100
[2,1,-5,-4,-3]=>[2,1,-5,-4,-3]=>[2,1,5,4,3]=>0100
[2,-1,5,4,3]=>[-2,1,5,4,3]=>[2,1,5,4,3]=>0100
[2,-1,5,4,-3]=>[-2,1,-5,4,3]=>[2,1,5,4,3]=>0100
[2,-1,5,-4,3]=>[-2,1,5,-4,3]=>[2,1,5,4,3]=>0100
[2,-1,5,-4,-3]=>[-2,1,-5,-4,3]=>[2,1,5,4,3]=>0100
[2,-1,-5,4,3]=>[-2,1,5,4,-3]=>[2,1,5,4,3]=>0100
[2,-1,-5,4,-3]=>[-2,1,-5,4,-3]=>[2,1,5,4,3]=>0100
[2,-1,-5,-4,3]=>[-2,1,5,-4,-3]=>[2,1,5,4,3]=>0100
[2,-1,-5,-4,-3]=>[-2,1,-5,-4,-3]=>[2,1,5,4,3]=>0100
[-2,1,5,4,3]=>[2,-1,5,4,3]=>[2,1,5,4,3]=>0100
[-2,1,5,4,-3]=>[2,-1,-5,4,3]=>[2,1,5,4,3]=>0100
[-2,1,5,-4,3]=>[2,-1,5,-4,3]=>[2,1,5,4,3]=>0100
[-2,1,5,-4,-3]=>[2,-1,-5,-4,3]=>[2,1,5,4,3]=>0100
[-2,1,-5,4,3]=>[2,-1,5,4,-3]=>[2,1,5,4,3]=>0100
[-2,1,-5,4,-3]=>[2,-1,-5,4,-3]=>[2,1,5,4,3]=>0100
[-2,1,-5,-4,3]=>[2,-1,5,-4,-3]=>[2,1,5,4,3]=>0100
[-2,1,-5,-4,-3]=>[2,-1,-5,-4,-3]=>[2,1,5,4,3]=>0100
[-2,-1,5,4,3]=>[-2,-1,5,4,3]=>[2,1,5,4,3]=>0100
[-2,-1,5,4,-3]=>[-2,-1,-5,4,3]=>[2,1,5,4,3]=>0100
[-2,-1,5,-4,3]=>[-2,-1,5,-4,3]=>[2,1,5,4,3]=>0100
[-2,-1,5,-4,-3]=>[-2,-1,-5,-4,3]=>[2,1,5,4,3]=>0100
[-2,-1,-5,4,3]=>[-2,-1,5,4,-3]=>[2,1,5,4,3]=>0100
[-2,-1,-5,4,-3]=>[-2,-1,-5,4,-3]=>[2,1,5,4,3]=>0100
[-2,-1,-5,-4,3]=>[-2,-1,5,-4,-3]=>[2,1,5,4,3]=>0100
[-2,-1,-5,-4,-3]=>[-2,-1,-5,-4,-3]=>[2,1,5,4,3]=>0100
[2,3,1,4,5]=>[3,1,2,4,5]=>[3,1,2,4,5]=>0011
[2,3,1,4,-5]=>[3,1,2,4,-5]=>[3,1,2,4,5]=>0011
[2,3,1,-4,5]=>[3,1,2,-4,5]=>[3,1,2,4,5]=>0011
[2,3,1,-4,-5]=>[3,1,2,-4,-5]=>[3,1,2,4,5]=>0011
[2,3,-1,4,5]=>[-3,1,2,4,5]=>[3,1,2,4,5]=>0011
[2,3,-1,4,-5]=>[-3,1,2,4,-5]=>[3,1,2,4,5]=>0011
[2,3,-1,-4,5]=>[-3,1,2,-4,5]=>[3,1,2,4,5]=>0011
[2,3,-1,-4,-5]=>[-3,1,2,-4,-5]=>[3,1,2,4,5]=>0011
[2,-3,1,4,5]=>[3,1,-2,4,5]=>[3,1,2,4,5]=>0011
[2,-3,1,4,-5]=>[3,1,-2,4,-5]=>[3,1,2,4,5]=>0011
[2,-3,1,-4,5]=>[3,1,-2,-4,5]=>[3,1,2,4,5]=>0011
[2,-3,1,-4,-5]=>[3,1,-2,-4,-5]=>[3,1,2,4,5]=>0011
[2,-3,-1,4,5]=>[-3,1,-2,4,5]=>[3,1,2,4,5]=>0011
[2,-3,-1,4,-5]=>[-3,1,-2,4,-5]=>[3,1,2,4,5]=>0011
[2,-3,-1,-4,5]=>[-3,1,-2,-4,5]=>[3,1,2,4,5]=>0011
[2,-3,-1,-4,-5]=>[-3,1,-2,-4,-5]=>[3,1,2,4,5]=>0011
[-2,3,1,4,5]=>[3,-1,2,4,5]=>[3,1,2,4,5]=>0011
[-2,3,1,4,-5]=>[3,-1,2,4,-5]=>[3,1,2,4,5]=>0011
[-2,3,1,-4,5]=>[3,-1,2,-4,5]=>[3,1,2,4,5]=>0011
[-2,3,1,-4,-5]=>[3,-1,2,-4,-5]=>[3,1,2,4,5]=>0011
[-2,3,-1,4,5]=>[-3,-1,2,4,5]=>[3,1,2,4,5]=>0011
[-2,3,-1,4,-5]=>[-3,-1,2,4,-5]=>[3,1,2,4,5]=>0011
[-2,3,-1,-4,5]=>[-3,-1,2,-4,5]=>[3,1,2,4,5]=>0011
[-2,3,-1,-4,-5]=>[-3,-1,2,-4,-5]=>[3,1,2,4,5]=>0011
[-2,-3,1,4,5]=>[3,-1,-2,4,5]=>[3,1,2,4,5]=>0011
[-2,-3,1,4,-5]=>[3,-1,-2,4,-5]=>[3,1,2,4,5]=>0011
[-2,-3,1,-4,5]=>[3,-1,-2,-4,5]=>[3,1,2,4,5]=>0011
[-2,-3,1,-4,-5]=>[3,-1,-2,-4,-5]=>[3,1,2,4,5]=>0011
[-2,-3,-1,4,5]=>[-3,-1,-2,4,5]=>[3,1,2,4,5]=>0011
[-2,-3,-1,4,-5]=>[-3,-1,-2,4,-5]=>[3,1,2,4,5]=>0011
[-2,-3,-1,-4,5]=>[-3,-1,-2,-4,5]=>[3,1,2,4,5]=>0011
[-2,-3,-1,-4,-5]=>[-3,-1,-2,-4,-5]=>[3,1,2,4,5]=>0011
[2,3,1,5,4]=>[3,1,2,5,4]=>[3,1,2,5,4]=>0010
[2,3,1,5,-4]=>[3,1,2,-5,4]=>[3,1,2,5,4]=>0010
[2,3,1,-5,4]=>[3,1,2,5,-4]=>[3,1,2,5,4]=>0010
[2,3,1,-5,-4]=>[3,1,2,-5,-4]=>[3,1,2,5,4]=>0010
[2,3,-1,5,4]=>[-3,1,2,5,4]=>[3,1,2,5,4]=>0010
[2,3,-1,5,-4]=>[-3,1,2,-5,4]=>[3,1,2,5,4]=>0010
[2,3,-1,-5,4]=>[-3,1,2,5,-4]=>[3,1,2,5,4]=>0010
[2,3,-1,-5,-4]=>[-3,1,2,-5,-4]=>[3,1,2,5,4]=>0010
[2,-3,1,5,4]=>[3,1,-2,5,4]=>[3,1,2,5,4]=>0010
[2,-3,1,5,-4]=>[3,1,-2,-5,4]=>[3,1,2,5,4]=>0010
[2,-3,1,-5,4]=>[3,1,-2,5,-4]=>[3,1,2,5,4]=>0010
[2,-3,1,-5,-4]=>[3,1,-2,-5,-4]=>[3,1,2,5,4]=>0010
[2,-3,-1,5,4]=>[-3,1,-2,5,4]=>[3,1,2,5,4]=>0010
[2,-3,-1,5,-4]=>[-3,1,-2,-5,4]=>[3,1,2,5,4]=>0010
[2,-3,-1,-5,4]=>[-3,1,-2,5,-4]=>[3,1,2,5,4]=>0010
[2,-3,-1,-5,-4]=>[-3,1,-2,-5,-4]=>[3,1,2,5,4]=>0010
[-2,3,1,5,4]=>[3,-1,2,5,4]=>[3,1,2,5,4]=>0010
[-2,3,1,5,-4]=>[3,-1,2,-5,4]=>[3,1,2,5,4]=>0010
[-2,3,1,-5,4]=>[3,-1,2,5,-4]=>[3,1,2,5,4]=>0010
[-2,3,1,-5,-4]=>[3,-1,2,-5,-4]=>[3,1,2,5,4]=>0010
[-2,3,-1,5,4]=>[-3,-1,2,5,4]=>[3,1,2,5,4]=>0010
[-2,3,-1,5,-4]=>[-3,-1,2,-5,4]=>[3,1,2,5,4]=>0010
[-2,3,-1,-5,4]=>[-3,-1,2,5,-4]=>[3,1,2,5,4]=>0010
[-2,3,-1,-5,-4]=>[-3,-1,2,-5,-4]=>[3,1,2,5,4]=>0010
[-2,-3,1,5,4]=>[3,-1,-2,5,4]=>[3,1,2,5,4]=>0010
[-2,-3,1,5,-4]=>[3,-1,-2,-5,4]=>[3,1,2,5,4]=>0010
[-2,-3,1,-5,4]=>[3,-1,-2,5,-4]=>[3,1,2,5,4]=>0010
[-2,-3,1,-5,-4]=>[3,-1,-2,-5,-4]=>[3,1,2,5,4]=>0010
[-2,-3,-1,5,4]=>[-3,-1,-2,5,4]=>[3,1,2,5,4]=>0010
[-2,-3,-1,5,-4]=>[-3,-1,-2,-5,4]=>[3,1,2,5,4]=>0010
[-2,-3,-1,-5,4]=>[-3,-1,-2,5,-4]=>[3,1,2,5,4]=>0010
[-2,-3,-1,-5,-4]=>[-3,-1,-2,-5,-4]=>[3,1,2,5,4]=>0010
[2,3,4,1,5]=>[4,1,2,3,5]=>[4,1,2,3,5]=>0001
[2,3,4,1,-5]=>[4,1,2,3,-5]=>[4,1,2,3,5]=>0001
[2,3,4,-1,5]=>[-4,1,2,3,5]=>[4,1,2,3,5]=>0001
[2,3,4,-1,-5]=>[-4,1,2,3,-5]=>[4,1,2,3,5]=>0001
[2,3,-4,1,5]=>[4,1,2,-3,5]=>[4,1,2,3,5]=>0001
[2,3,-4,1,-5]=>[4,1,2,-3,-5]=>[4,1,2,3,5]=>0001
[2,3,-4,-1,5]=>[-4,1,2,-3,5]=>[4,1,2,3,5]=>0001
[2,3,-4,-1,-5]=>[-4,1,2,-3,-5]=>[4,1,2,3,5]=>0001
[2,-3,4,1,5]=>[4,1,-2,3,5]=>[4,1,2,3,5]=>0001
[2,-3,4,1,-5]=>[4,1,-2,3,-5]=>[4,1,2,3,5]=>0001
[2,-3,4,-1,5]=>[-4,1,-2,3,5]=>[4,1,2,3,5]=>0001
[2,-3,4,-1,-5]=>[-4,1,-2,3,-5]=>[4,1,2,3,5]=>0001
[2,-3,-4,1,5]=>[4,1,-2,-3,5]=>[4,1,2,3,5]=>0001
[2,-3,-4,1,-5]=>[4,1,-2,-3,-5]=>[4,1,2,3,5]=>0001
[2,-3,-4,-1,5]=>[-4,1,-2,-3,5]=>[4,1,2,3,5]=>0001
[2,-3,-4,-1,-5]=>[-4,1,-2,-3,-5]=>[4,1,2,3,5]=>0001
[-2,3,4,1,5]=>[4,-1,2,3,5]=>[4,1,2,3,5]=>0001
[-2,3,4,1,-5]=>[4,-1,2,3,-5]=>[4,1,2,3,5]=>0001
[-2,3,4,-1,5]=>[-4,-1,2,3,5]=>[4,1,2,3,5]=>0001
[-2,3,4,-1,-5]=>[-4,-1,2,3,-5]=>[4,1,2,3,5]=>0001
[-2,3,-4,1,5]=>[4,-1,2,-3,5]=>[4,1,2,3,5]=>0001
[-2,3,-4,1,-5]=>[4,-1,2,-3,-5]=>[4,1,2,3,5]=>0001
[-2,3,-4,-1,5]=>[-4,-1,2,-3,5]=>[4,1,2,3,5]=>0001
[-2,3,-4,-1,-5]=>[-4,-1,2,-3,-5]=>[4,1,2,3,5]=>0001
[-2,-3,4,1,5]=>[4,-1,-2,3,5]=>[4,1,2,3,5]=>0001
[-2,-3,4,1,-5]=>[4,-1,-2,3,-5]=>[4,1,2,3,5]=>0001
[-2,-3,4,-1,5]=>[-4,-1,-2,3,5]=>[4,1,2,3,5]=>0001
[-2,-3,4,-1,-5]=>[-4,-1,-2,3,-5]=>[4,1,2,3,5]=>0001
[-2,-3,-4,1,5]=>[4,-1,-2,-3,5]=>[4,1,2,3,5]=>0001
[-2,-3,-4,1,-5]=>[4,-1,-2,-3,-5]=>[4,1,2,3,5]=>0001
[-2,-3,-4,-1,5]=>[-4,-1,-2,-3,5]=>[4,1,2,3,5]=>0001
[-2,-3,-4,-1,-5]=>[-4,-1,-2,-3,-5]=>[4,1,2,3,5]=>0001
[2,3,4,5,1]=>[5,1,2,3,4]=>[5,1,2,3,4]=>0000
[2,3,4,5,-1]=>[-5,1,2,3,4]=>[5,1,2,3,4]=>0000
[2,3,4,-5,1]=>[5,1,2,3,-4]=>[5,1,2,3,4]=>0000
[2,3,4,-5,-1]=>[-5,1,2,3,-4]=>[5,1,2,3,4]=>0000
[2,3,-4,5,1]=>[5,1,2,-3,4]=>[5,1,2,3,4]=>0000
[2,3,-4,5,-1]=>[-5,1,2,-3,4]=>[5,1,2,3,4]=>0000
[2,3,-4,-5,1]=>[5,1,2,-3,-4]=>[5,1,2,3,4]=>0000
[2,3,-4,-5,-1]=>[-5,1,2,-3,-4]=>[5,1,2,3,4]=>0000
[2,-3,4,5,1]=>[5,1,-2,3,4]=>[5,1,2,3,4]=>0000
[2,-3,4,5,-1]=>[-5,1,-2,3,4]=>[5,1,2,3,4]=>0000
[2,-3,4,-5,1]=>[5,1,-2,3,-4]=>[5,1,2,3,4]=>0000
[2,-3,4,-5,-1]=>[-5,1,-2,3,-4]=>[5,1,2,3,4]=>0000
[2,-3,-4,5,1]=>[5,1,-2,-3,4]=>[5,1,2,3,4]=>0000
[2,-3,-4,5,-1]=>[-5,1,-2,-3,4]=>[5,1,2,3,4]=>0000
[2,-3,-4,-5,1]=>[5,1,-2,-3,-4]=>[5,1,2,3,4]=>0000
[2,-3,-4,-5,-1]=>[-5,1,-2,-3,-4]=>[5,1,2,3,4]=>0000
[-2,3,4,5,1]=>[5,-1,2,3,4]=>[5,1,2,3,4]=>0000
[-2,3,4,5,-1]=>[-5,-1,2,3,4]=>[5,1,2,3,4]=>0000
[-2,3,4,-5,1]=>[5,-1,2,3,-4]=>[5,1,2,3,4]=>0000
[-2,3,4,-5,-1]=>[-5,-1,2,3,-4]=>[5,1,2,3,4]=>0000
[-2,3,-4,5,1]=>[5,-1,2,-3,4]=>[5,1,2,3,4]=>0000
[-2,3,-4,5,-1]=>[-5,-1,2,-3,4]=>[5,1,2,3,4]=>0000
[-2,3,-4,-5,1]=>[5,-1,2,-3,-4]=>[5,1,2,3,4]=>0000
[-2,3,-4,-5,-1]=>[-5,-1,2,-3,-4]=>[5,1,2,3,4]=>0000
[-2,-3,4,5,1]=>[5,-1,-2,3,4]=>[5,1,2,3,4]=>0000
[-2,-3,4,5,-1]=>[-5,-1,-2,3,4]=>[5,1,2,3,4]=>0000
[-2,-3,4,-5,1]=>[5,-1,-2,3,-4]=>[5,1,2,3,4]=>0000
[-2,-3,4,-5,-1]=>[-5,-1,-2,3,-4]=>[5,1,2,3,4]=>0000
[-2,-3,-4,5,1]=>[5,-1,-2,-3,4]=>[5,1,2,3,4]=>0000
[-2,-3,-4,5,-1]=>[-5,-1,-2,-3,4]=>[5,1,2,3,4]=>0000
[-2,-3,-4,-5,1]=>[5,-1,-2,-3,-4]=>[5,1,2,3,4]=>0000
[-2,-3,-4,-5,-1]=>[-5,-1,-2,-3,-4]=>[5,1,2,3,4]=>0000
[2,3,5,1,4]=>[4,1,2,5,3]=>[4,1,2,5,3]=>0000
[2,3,5,1,-4]=>[4,1,2,-5,3]=>[4,1,2,5,3]=>0000
[2,3,5,-1,4]=>[-4,1,2,5,3]=>[4,1,2,5,3]=>0000
[2,3,5,-1,-4]=>[-4,1,2,-5,3]=>[4,1,2,5,3]=>0000
[2,3,-5,1,4]=>[4,1,2,5,-3]=>[4,1,2,5,3]=>0000
[2,3,-5,1,-4]=>[4,1,2,-5,-3]=>[4,1,2,5,3]=>0000
[2,3,-5,-1,4]=>[-4,1,2,5,-3]=>[4,1,2,5,3]=>0000
[2,3,-5,-1,-4]=>[-4,1,2,-5,-3]=>[4,1,2,5,3]=>0000
[2,-3,5,1,4]=>[4,1,-2,5,3]=>[4,1,2,5,3]=>0000
[2,-3,5,1,-4]=>[4,1,-2,-5,3]=>[4,1,2,5,3]=>0000
[2,-3,5,-1,4]=>[-4,1,-2,5,3]=>[4,1,2,5,3]=>0000
[2,-3,5,-1,-4]=>[-4,1,-2,-5,3]=>[4,1,2,5,3]=>0000
[2,-3,-5,1,4]=>[4,1,-2,5,-3]=>[4,1,2,5,3]=>0000
[2,-3,-5,1,-4]=>[4,1,-2,-5,-3]=>[4,1,2,5,3]=>0000
[2,-3,-5,-1,4]=>[-4,1,-2,5,-3]=>[4,1,2,5,3]=>0000
[2,-3,-5,-1,-4]=>[-4,1,-2,-5,-3]=>[4,1,2,5,3]=>0000
[-2,3,5,1,4]=>[4,-1,2,5,3]=>[4,1,2,5,3]=>0000
[-2,3,5,1,-4]=>[4,-1,2,-5,3]=>[4,1,2,5,3]=>0000
[-2,3,5,-1,4]=>[-4,-1,2,5,3]=>[4,1,2,5,3]=>0000
[-2,3,5,-1,-4]=>[-4,-1,2,-5,3]=>[4,1,2,5,3]=>0000
[-2,3,-5,1,4]=>[4,-1,2,5,-3]=>[4,1,2,5,3]=>0000
[-2,3,-5,1,-4]=>[4,-1,2,-5,-3]=>[4,1,2,5,3]=>0000
[-2,3,-5,-1,4]=>[-4,-1,2,5,-3]=>[4,1,2,5,3]=>0000
[-2,3,-5,-1,-4]=>[-4,-1,2,-5,-3]=>[4,1,2,5,3]=>0000
[-2,-3,5,1,4]=>[4,-1,-2,5,3]=>[4,1,2,5,3]=>0000
[-2,-3,5,1,-4]=>[4,-1,-2,-5,3]=>[4,1,2,5,3]=>0000
[-2,-3,5,-1,4]=>[-4,-1,-2,5,3]=>[4,1,2,5,3]=>0000
[-2,-3,5,-1,-4]=>[-4,-1,-2,-5,3]=>[4,1,2,5,3]=>0000
[-2,-3,-5,1,4]=>[4,-1,-2,5,-3]=>[4,1,2,5,3]=>0000
[-2,-3,-5,1,-4]=>[4,-1,-2,-5,-3]=>[4,1,2,5,3]=>0000
[-2,-3,-5,-1,4]=>[-4,-1,-2,5,-3]=>[4,1,2,5,3]=>0000
[-2,-3,-5,-1,-4]=>[-4,-1,-2,-5,-3]=>[4,1,2,5,3]=>0000
[2,3,5,4,1]=>[5,1,2,4,3]=>[5,1,2,4,3]=>0000
[2,3,5,4,-1]=>[-5,1,2,4,3]=>[5,1,2,4,3]=>0000
[2,3,5,-4,1]=>[5,1,2,-4,3]=>[5,1,2,4,3]=>0000
[2,3,5,-4,-1]=>[-5,1,2,-4,3]=>[5,1,2,4,3]=>0000
[2,3,-5,4,1]=>[5,1,2,4,-3]=>[5,1,2,4,3]=>0000
[2,3,-5,4,-1]=>[-5,1,2,4,-3]=>[5,1,2,4,3]=>0000
[2,3,-5,-4,1]=>[5,1,2,-4,-3]=>[5,1,2,4,3]=>0000
[2,3,-5,-4,-1]=>[-5,1,2,-4,-3]=>[5,1,2,4,3]=>0000
[2,-3,5,4,1]=>[5,1,-2,4,3]=>[5,1,2,4,3]=>0000
[2,-3,5,4,-1]=>[-5,1,-2,4,3]=>[5,1,2,4,3]=>0000
[2,-3,5,-4,1]=>[5,1,-2,-4,3]=>[5,1,2,4,3]=>0000
[2,-3,5,-4,-1]=>[-5,1,-2,-4,3]=>[5,1,2,4,3]=>0000
[2,-3,-5,4,1]=>[5,1,-2,4,-3]=>[5,1,2,4,3]=>0000
[2,-3,-5,4,-1]=>[-5,1,-2,4,-3]=>[5,1,2,4,3]=>0000
[2,-3,-5,-4,1]=>[5,1,-2,-4,-3]=>[5,1,2,4,3]=>0000
[2,-3,-5,-4,-1]=>[-5,1,-2,-4,-3]=>[5,1,2,4,3]=>0000
[-2,3,5,4,1]=>[5,-1,2,4,3]=>[5,1,2,4,3]=>0000
[-2,3,5,4,-1]=>[-5,-1,2,4,3]=>[5,1,2,4,3]=>0000
[-2,3,5,-4,1]=>[5,-1,2,-4,3]=>[5,1,2,4,3]=>0000
[-2,3,5,-4,-1]=>[-5,-1,2,-4,3]=>[5,1,2,4,3]=>0000
[-2,3,-5,4,1]=>[5,-1,2,4,-3]=>[5,1,2,4,3]=>0000
[-2,3,-5,4,-1]=>[-5,-1,2,4,-3]=>[5,1,2,4,3]=>0000
[-2,3,-5,-4,1]=>[5,-1,2,-4,-3]=>[5,1,2,4,3]=>0000
[-2,3,-5,-4,-1]=>[-5,-1,2,-4,-3]=>[5,1,2,4,3]=>0000
[-2,-3,5,4,1]=>[5,-1,-2,4,3]=>[5,1,2,4,3]=>0000
[-2,-3,5,4,-1]=>[-5,-1,-2,4,3]=>[5,1,2,4,3]=>0000
[-2,-3,5,-4,1]=>[5,-1,-2,-4,3]=>[5,1,2,4,3]=>0000
[-2,-3,5,-4,-1]=>[-5,-1,-2,-4,3]=>[5,1,2,4,3]=>0000
[-2,-3,-5,4,1]=>[5,-1,-2,4,-3]=>[5,1,2,4,3]=>0000
[-2,-3,-5,4,-1]=>[-5,-1,-2,4,-3]=>[5,1,2,4,3]=>0000
[-2,-3,-5,-4,1]=>[5,-1,-2,-4,-3]=>[5,1,2,4,3]=>0000
[-2,-3,-5,-4,-1]=>[-5,-1,-2,-4,-3]=>[5,1,2,4,3]=>0000
[2,4,1,3,5]=>[3,1,4,2,5]=>[3,1,4,2,5]=>0001
[2,4,1,3,-5]=>[3,1,4,2,-5]=>[3,1,4,2,5]=>0001
[2,4,1,-3,5]=>[3,1,-4,2,5]=>[3,1,4,2,5]=>0001
[2,4,1,-3,-5]=>[3,1,-4,2,-5]=>[3,1,4,2,5]=>0001
[2,4,-1,3,5]=>[-3,1,4,2,5]=>[3,1,4,2,5]=>0001
[2,4,-1,3,-5]=>[-3,1,4,2,-5]=>[3,1,4,2,5]=>0001
[2,4,-1,-3,5]=>[-3,1,-4,2,5]=>[3,1,4,2,5]=>0001
[2,4,-1,-3,-5]=>[-3,1,-4,2,-5]=>[3,1,4,2,5]=>0001
[2,-4,1,3,5]=>[3,1,4,-2,5]=>[3,1,4,2,5]=>0001
[2,-4,1,3,-5]=>[3,1,4,-2,-5]=>[3,1,4,2,5]=>0001
[2,-4,1,-3,5]=>[3,1,-4,-2,5]=>[3,1,4,2,5]=>0001
[2,-4,1,-3,-5]=>[3,1,-4,-2,-5]=>[3,1,4,2,5]=>0001
[2,-4,-1,3,5]=>[-3,1,4,-2,5]=>[3,1,4,2,5]=>0001
[2,-4,-1,3,-5]=>[-3,1,4,-2,-5]=>[3,1,4,2,5]=>0001
[2,-4,-1,-3,5]=>[-3,1,-4,-2,5]=>[3,1,4,2,5]=>0001
[2,-4,-1,-3,-5]=>[-3,1,-4,-2,-5]=>[3,1,4,2,5]=>0001
[-2,4,1,3,5]=>[3,-1,4,2,5]=>[3,1,4,2,5]=>0001
[-2,4,1,3,-5]=>[3,-1,4,2,-5]=>[3,1,4,2,5]=>0001
[-2,4,1,-3,5]=>[3,-1,-4,2,5]=>[3,1,4,2,5]=>0001
[-2,4,1,-3,-5]=>[3,-1,-4,2,-5]=>[3,1,4,2,5]=>0001
[-2,4,-1,3,5]=>[-3,-1,4,2,5]=>[3,1,4,2,5]=>0001
[-2,4,-1,3,-5]=>[-3,-1,4,2,-5]=>[3,1,4,2,5]=>0001
[-2,4,-1,-3,5]=>[-3,-1,-4,2,5]=>[3,1,4,2,5]=>0001
[-2,4,-1,-3,-5]=>[-3,-1,-4,2,-5]=>[3,1,4,2,5]=>0001
[-2,-4,1,3,5]=>[3,-1,4,-2,5]=>[3,1,4,2,5]=>0001
[-2,-4,1,3,-5]=>[3,-1,4,-2,-5]=>[3,1,4,2,5]=>0001
[-2,-4,1,-3,5]=>[3,-1,-4,-2,5]=>[3,1,4,2,5]=>0001
[-2,-4,1,-3,-5]=>[3,-1,-4,-2,-5]=>[3,1,4,2,5]=>0001
[-2,-4,-1,3,5]=>[-3,-1,4,-2,5]=>[3,1,4,2,5]=>0001
[-2,-4,-1,3,-5]=>[-3,-1,4,-2,-5]=>[3,1,4,2,5]=>0001
[-2,-4,-1,-3,5]=>[-3,-1,-4,-2,5]=>[3,1,4,2,5]=>0001
[-2,-4,-1,-3,-5]=>[-3,-1,-4,-2,-5]=>[3,1,4,2,5]=>0001
[2,4,1,5,3]=>[3,1,5,2,4]=>[3,1,5,2,4]=>0000
[2,4,1,5,-3]=>[3,1,-5,2,4]=>[3,1,5,2,4]=>0000
[2,4,1,-5,3]=>[3,1,5,2,-4]=>[3,1,5,2,4]=>0000
[2,4,1,-5,-3]=>[3,1,-5,2,-4]=>[3,1,5,2,4]=>0000
[2,4,-1,5,3]=>[-3,1,5,2,4]=>[3,1,5,2,4]=>0000
[2,4,-1,5,-3]=>[-3,1,-5,2,4]=>[3,1,5,2,4]=>0000
[2,4,-1,-5,3]=>[-3,1,5,2,-4]=>[3,1,5,2,4]=>0000
[2,4,-1,-5,-3]=>[-3,1,-5,2,-4]=>[3,1,5,2,4]=>0000
[2,-4,1,5,3]=>[3,1,5,-2,4]=>[3,1,5,2,4]=>0000
[2,-4,1,5,-3]=>[3,1,-5,-2,4]=>[3,1,5,2,4]=>0000
[2,-4,1,-5,3]=>[3,1,5,-2,-4]=>[3,1,5,2,4]=>0000
[2,-4,1,-5,-3]=>[3,1,-5,-2,-4]=>[3,1,5,2,4]=>0000
[2,-4,-1,5,3]=>[-3,1,5,-2,4]=>[3,1,5,2,4]=>0000
[2,-4,-1,5,-3]=>[-3,1,-5,-2,4]=>[3,1,5,2,4]=>0000
[2,-4,-1,-5,3]=>[-3,1,5,-2,-4]=>[3,1,5,2,4]=>0000
[2,-4,-1,-5,-3]=>[-3,1,-5,-2,-4]=>[3,1,5,2,4]=>0000
[-2,4,1,5,3]=>[3,-1,5,2,4]=>[3,1,5,2,4]=>0000
[-2,4,1,5,-3]=>[3,-1,-5,2,4]=>[3,1,5,2,4]=>0000
[-2,4,1,-5,3]=>[3,-1,5,2,-4]=>[3,1,5,2,4]=>0000
[-2,4,1,-5,-3]=>[3,-1,-5,2,-4]=>[3,1,5,2,4]=>0000
[-2,4,-1,5,3]=>[-3,-1,5,2,4]=>[3,1,5,2,4]=>0000
[-2,4,-1,5,-3]=>[-3,-1,-5,2,4]=>[3,1,5,2,4]=>0000
[-2,4,-1,-5,3]=>[-3,-1,5,2,-4]=>[3,1,5,2,4]=>0000
[-2,4,-1,-5,-3]=>[-3,-1,-5,2,-4]=>[3,1,5,2,4]=>0000
[-2,-4,1,5,3]=>[3,-1,5,-2,4]=>[3,1,5,2,4]=>0000
[-2,-4,1,5,-3]=>[3,-1,-5,-2,4]=>[3,1,5,2,4]=>0000
[-2,-4,1,-5,3]=>[3,-1,5,-2,-4]=>[3,1,5,2,4]=>0000
[-2,-4,1,-5,-3]=>[3,-1,-5,-2,-4]=>[3,1,5,2,4]=>0000
[-2,-4,-1,5,3]=>[-3,-1,5,-2,4]=>[3,1,5,2,4]=>0000
[-2,-4,-1,5,-3]=>[-3,-1,-5,-2,4]=>[3,1,5,2,4]=>0000
[-2,-4,-1,-5,3]=>[-3,-1,5,-2,-4]=>[3,1,5,2,4]=>0000
[-2,-4,-1,-5,-3]=>[-3,-1,-5,-2,-4]=>[3,1,5,2,4]=>0000
[2,4,3,1,5]=>[4,1,3,2,5]=>[4,1,3,2,5]=>0001
[2,4,3,1,-5]=>[4,1,3,2,-5]=>[4,1,3,2,5]=>0001
[2,4,3,-1,5]=>[-4,1,3,2,5]=>[4,1,3,2,5]=>0001
[2,4,3,-1,-5]=>[-4,1,3,2,-5]=>[4,1,3,2,5]=>0001
[2,4,-3,1,5]=>[4,1,-3,2,5]=>[4,1,3,2,5]=>0001
[2,4,-3,1,-5]=>[4,1,-3,2,-5]=>[4,1,3,2,5]=>0001
[2,4,-3,-1,5]=>[-4,1,-3,2,5]=>[4,1,3,2,5]=>0001
[2,4,-3,-1,-5]=>[-4,1,-3,2,-5]=>[4,1,3,2,5]=>0001
[2,-4,3,1,5]=>[4,1,3,-2,5]=>[4,1,3,2,5]=>0001
[2,-4,3,1,-5]=>[4,1,3,-2,-5]=>[4,1,3,2,5]=>0001
[2,-4,3,-1,5]=>[-4,1,3,-2,5]=>[4,1,3,2,5]=>0001
[2,-4,3,-1,-5]=>[-4,1,3,-2,-5]=>[4,1,3,2,5]=>0001
[2,-4,-3,1,5]=>[4,1,-3,-2,5]=>[4,1,3,2,5]=>0001
[2,-4,-3,1,-5]=>[4,1,-3,-2,-5]=>[4,1,3,2,5]=>0001
[2,-4,-3,-1,5]=>[-4,1,-3,-2,5]=>[4,1,3,2,5]=>0001
[2,-4,-3,-1,-5]=>[-4,1,-3,-2,-5]=>[4,1,3,2,5]=>0001
[-2,4,3,1,5]=>[4,-1,3,2,5]=>[4,1,3,2,5]=>0001
[-2,4,3,1,-5]=>[4,-1,3,2,-5]=>[4,1,3,2,5]=>0001
[-2,4,3,-1,5]=>[-4,-1,3,2,5]=>[4,1,3,2,5]=>0001
[-2,4,3,-1,-5]=>[-4,-1,3,2,-5]=>[4,1,3,2,5]=>0001
[-2,4,-3,1,5]=>[4,-1,-3,2,5]=>[4,1,3,2,5]=>0001
[-2,4,-3,1,-5]=>[4,-1,-3,2,-5]=>[4,1,3,2,5]=>0001
[-2,4,-3,-1,5]=>[-4,-1,-3,2,5]=>[4,1,3,2,5]=>0001
[-2,4,-3,-1,-5]=>[-4,-1,-3,2,-5]=>[4,1,3,2,5]=>0001
[-2,-4,3,1,5]=>[4,-1,3,-2,5]=>[4,1,3,2,5]=>0001
[-2,-4,3,1,-5]=>[4,-1,3,-2,-5]=>[4,1,3,2,5]=>0001
[-2,-4,3,-1,5]=>[-4,-1,3,-2,5]=>[4,1,3,2,5]=>0001
[-2,-4,3,-1,-5]=>[-4,-1,3,-2,-5]=>[4,1,3,2,5]=>0001
[-2,-4,-3,1,5]=>[4,-1,-3,-2,5]=>[4,1,3,2,5]=>0001
[-2,-4,-3,1,-5]=>[4,-1,-3,-2,-5]=>[4,1,3,2,5]=>0001
[-2,-4,-3,-1,5]=>[-4,-1,-3,-2,5]=>[4,1,3,2,5]=>0001
[-2,-4,-3,-1,-5]=>[-4,-1,-3,-2,-5]=>[4,1,3,2,5]=>0001
[2,4,3,5,1]=>[5,1,3,2,4]=>[5,1,3,2,4]=>0000
[2,4,3,5,-1]=>[-5,1,3,2,4]=>[5,1,3,2,4]=>0000
[2,4,3,-5,1]=>[5,1,3,2,-4]=>[5,1,3,2,4]=>0000
[2,4,3,-5,-1]=>[-5,1,3,2,-4]=>[5,1,3,2,4]=>0000
[2,4,-3,5,1]=>[5,1,-3,2,4]=>[5,1,3,2,4]=>0000
[2,4,-3,5,-1]=>[-5,1,-3,2,4]=>[5,1,3,2,4]=>0000
[2,4,-3,-5,1]=>[5,1,-3,2,-4]=>[5,1,3,2,4]=>0000
[2,4,-3,-5,-1]=>[-5,1,-3,2,-4]=>[5,1,3,2,4]=>0000
[2,-4,3,5,1]=>[5,1,3,-2,4]=>[5,1,3,2,4]=>0000
[2,-4,3,5,-1]=>[-5,1,3,-2,4]=>[5,1,3,2,4]=>0000
[2,-4,3,-5,1]=>[5,1,3,-2,-4]=>[5,1,3,2,4]=>0000
[2,-4,3,-5,-1]=>[-5,1,3,-2,-4]=>[5,1,3,2,4]=>0000
[2,-4,-3,5,1]=>[5,1,-3,-2,4]=>[5,1,3,2,4]=>0000
[2,-4,-3,5,-1]=>[-5,1,-3,-2,4]=>[5,1,3,2,4]=>0000
[2,-4,-3,-5,1]=>[5,1,-3,-2,-4]=>[5,1,3,2,4]=>0000
[2,-4,-3,-5,-1]=>[-5,1,-3,-2,-4]=>[5,1,3,2,4]=>0000
[-2,4,3,5,1]=>[5,-1,3,2,4]=>[5,1,3,2,4]=>0000
[-2,4,3,5,-1]=>[-5,-1,3,2,4]=>[5,1,3,2,4]=>0000
[-2,4,3,-5,1]=>[5,-1,3,2,-4]=>[5,1,3,2,4]=>0000
[-2,4,3,-5,-1]=>[-5,-1,3,2,-4]=>[5,1,3,2,4]=>0000
[-2,4,-3,5,1]=>[5,-1,-3,2,4]=>[5,1,3,2,4]=>0000
[-2,4,-3,5,-1]=>[-5,-1,-3,2,4]=>[5,1,3,2,4]=>0000
[-2,4,-3,-5,1]=>[5,-1,-3,2,-4]=>[5,1,3,2,4]=>0000
[-2,4,-3,-5,-1]=>[-5,-1,-3,2,-4]=>[5,1,3,2,4]=>0000
[-2,-4,3,5,1]=>[5,-1,3,-2,4]=>[5,1,3,2,4]=>0000
[-2,-4,3,5,-1]=>[-5,-1,3,-2,4]=>[5,1,3,2,4]=>0000
[-2,-4,3,-5,1]=>[5,-1,3,-2,-4]=>[5,1,3,2,4]=>0000
[-2,-4,3,-5,-1]=>[-5,-1,3,-2,-4]=>[5,1,3,2,4]=>0000
[-2,-4,-3,5,1]=>[5,-1,-3,-2,4]=>[5,1,3,2,4]=>0000
[-2,-4,-3,5,-1]=>[-5,-1,-3,-2,4]=>[5,1,3,2,4]=>0000
[-2,-4,-3,-5,1]=>[5,-1,-3,-2,-4]=>[5,1,3,2,4]=>0000
[-2,-4,-3,-5,-1]=>[-5,-1,-3,-2,-4]=>[5,1,3,2,4]=>0000
[2,4,5,1,3]=>[4,1,5,2,3]=>[4,1,5,2,3]=>0000
[2,4,5,1,-3]=>[4,1,-5,2,3]=>[4,1,5,2,3]=>0000
[2,4,5,-1,3]=>[-4,1,5,2,3]=>[4,1,5,2,3]=>0000
[2,4,5,-1,-3]=>[-4,1,-5,2,3]=>[4,1,5,2,3]=>0000
[2,4,-5,1,3]=>[4,1,5,2,-3]=>[4,1,5,2,3]=>0000
[2,4,-5,1,-3]=>[4,1,-5,2,-3]=>[4,1,5,2,3]=>0000
[2,4,-5,-1,3]=>[-4,1,5,2,-3]=>[4,1,5,2,3]=>0000
[2,4,-5,-1,-3]=>[-4,1,-5,2,-3]=>[4,1,5,2,3]=>0000
[2,-4,5,1,3]=>[4,1,5,-2,3]=>[4,1,5,2,3]=>0000
[2,-4,5,1,-3]=>[4,1,-5,-2,3]=>[4,1,5,2,3]=>0000
[2,-4,5,-1,3]=>[-4,1,5,-2,3]=>[4,1,5,2,3]=>0000
[2,-4,5,-1,-3]=>[-4,1,-5,-2,3]=>[4,1,5,2,3]=>0000
[2,-4,-5,1,3]=>[4,1,5,-2,-3]=>[4,1,5,2,3]=>0000
[2,-4,-5,1,-3]=>[4,1,-5,-2,-3]=>[4,1,5,2,3]=>0000
[2,-4,-5,-1,3]=>[-4,1,5,-2,-3]=>[4,1,5,2,3]=>0000
[2,-4,-5,-1,-3]=>[-4,1,-5,-2,-3]=>[4,1,5,2,3]=>0000
[-2,4,5,1,3]=>[4,-1,5,2,3]=>[4,1,5,2,3]=>0000
[-2,4,5,1,-3]=>[4,-1,-5,2,3]=>[4,1,5,2,3]=>0000
[-2,4,5,-1,3]=>[-4,-1,5,2,3]=>[4,1,5,2,3]=>0000
[-2,4,5,-1,-3]=>[-4,-1,-5,2,3]=>[4,1,5,2,3]=>0000
[-2,4,-5,1,3]=>[4,-1,5,2,-3]=>[4,1,5,2,3]=>0000
[-2,4,-5,1,-3]=>[4,-1,-5,2,-3]=>[4,1,5,2,3]=>0000
[-2,4,-5,-1,3]=>[-4,-1,5,2,-3]=>[4,1,5,2,3]=>0000
[-2,4,-5,-1,-3]=>[-4,-1,-5,2,-3]=>[4,1,5,2,3]=>0000
[-2,-4,5,1,3]=>[4,-1,5,-2,3]=>[4,1,5,2,3]=>0000
[-2,-4,5,1,-3]=>[4,-1,-5,-2,3]=>[4,1,5,2,3]=>0000
[-2,-4,5,-1,3]=>[-4,-1,5,-2,3]=>[4,1,5,2,3]=>0000
[-2,-4,5,-1,-3]=>[-4,-1,-5,-2,3]=>[4,1,5,2,3]=>0000
[-2,-4,-5,1,3]=>[4,-1,5,-2,-3]=>[4,1,5,2,3]=>0000
[-2,-4,-5,1,-3]=>[4,-1,-5,-2,-3]=>[4,1,5,2,3]=>0000
[-2,-4,-5,-1,3]=>[-4,-1,5,-2,-3]=>[4,1,5,2,3]=>0000
[-2,-4,-5,-1,-3]=>[-4,-1,-5,-2,-3]=>[4,1,5,2,3]=>0000
[2,4,5,3,1]=>[5,1,4,2,3]=>[5,1,4,2,3]=>0000
[2,4,5,3,-1]=>[-5,1,4,2,3]=>[5,1,4,2,3]=>0000
[2,4,5,-3,1]=>[5,1,-4,2,3]=>[5,1,4,2,3]=>0000
[2,4,5,-3,-1]=>[-5,1,-4,2,3]=>[5,1,4,2,3]=>0000
[2,4,-5,3,1]=>[5,1,4,2,-3]=>[5,1,4,2,3]=>0000
[2,4,-5,3,-1]=>[-5,1,4,2,-3]=>[5,1,4,2,3]=>0000
[2,4,-5,-3,1]=>[5,1,-4,2,-3]=>[5,1,4,2,3]=>0000
[2,4,-5,-3,-1]=>[-5,1,-4,2,-3]=>[5,1,4,2,3]=>0000
[2,-4,5,3,1]=>[5,1,4,-2,3]=>[5,1,4,2,3]=>0000
[2,-4,5,3,-1]=>[-5,1,4,-2,3]=>[5,1,4,2,3]=>0000
[2,-4,5,-3,1]=>[5,1,-4,-2,3]=>[5,1,4,2,3]=>0000
[2,-4,5,-3,-1]=>[-5,1,-4,-2,3]=>[5,1,4,2,3]=>0000
[2,-4,-5,3,1]=>[5,1,4,-2,-3]=>[5,1,4,2,3]=>0000
[2,-4,-5,3,-1]=>[-5,1,4,-2,-3]=>[5,1,4,2,3]=>0000
[2,-4,-5,-3,1]=>[5,1,-4,-2,-3]=>[5,1,4,2,3]=>0000
[2,-4,-5,-3,-1]=>[-5,1,-4,-2,-3]=>[5,1,4,2,3]=>0000
[-2,4,5,3,1]=>[5,-1,4,2,3]=>[5,1,4,2,3]=>0000
[-2,4,5,3,-1]=>[-5,-1,4,2,3]=>[5,1,4,2,3]=>0000
[-2,4,5,-3,1]=>[5,-1,-4,2,3]=>[5,1,4,2,3]=>0000
[-2,4,5,-3,-1]=>[-5,-1,-4,2,3]=>[5,1,4,2,3]=>0000
[-2,4,-5,3,1]=>[5,-1,4,2,-3]=>[5,1,4,2,3]=>0000
[-2,4,-5,3,-1]=>[-5,-1,4,2,-3]=>[5,1,4,2,3]=>0000
[-2,4,-5,-3,1]=>[5,-1,-4,2,-3]=>[5,1,4,2,3]=>0000
[-2,4,-5,-3,-1]=>[-5,-1,-4,2,-3]=>[5,1,4,2,3]=>0000
[-2,-4,5,3,1]=>[5,-1,4,-2,3]=>[5,1,4,2,3]=>0000
[-2,-4,5,3,-1]=>[-5,-1,4,-2,3]=>[5,1,4,2,3]=>0000
[-2,-4,5,-3,1]=>[5,-1,-4,-2,3]=>[5,1,4,2,3]=>0000
[-2,-4,5,-3,-1]=>[-5,-1,-4,-2,3]=>[5,1,4,2,3]=>0000
[-2,-4,-5,3,1]=>[5,-1,4,-2,-3]=>[5,1,4,2,3]=>0000
[-2,-4,-5,3,-1]=>[-5,-1,4,-2,-3]=>[5,1,4,2,3]=>0000
[-2,-4,-5,-3,1]=>[5,-1,-4,-2,-3]=>[5,1,4,2,3]=>0000
[-2,-4,-5,-3,-1]=>[-5,-1,-4,-2,-3]=>[5,1,4,2,3]=>0000
[2,5,1,3,4]=>[3,1,4,5,2]=>[3,1,4,5,2]=>0000
[2,5,1,3,-4]=>[3,1,4,-5,2]=>[3,1,4,5,2]=>0000
[2,5,1,-3,4]=>[3,1,-4,5,2]=>[3,1,4,5,2]=>0000
[2,5,1,-3,-4]=>[3,1,-4,-5,2]=>[3,1,4,5,2]=>0000
[2,5,-1,3,4]=>[-3,1,4,5,2]=>[3,1,4,5,2]=>0000
[2,5,-1,3,-4]=>[-3,1,4,-5,2]=>[3,1,4,5,2]=>0000
[2,5,-1,-3,4]=>[-3,1,-4,5,2]=>[3,1,4,5,2]=>0000
[2,5,-1,-3,-4]=>[-3,1,-4,-5,2]=>[3,1,4,5,2]=>0000
[2,-5,1,3,4]=>[3,1,4,5,-2]=>[3,1,4,5,2]=>0000
[2,-5,1,3,-4]=>[3,1,4,-5,-2]=>[3,1,4,5,2]=>0000
[2,-5,1,-3,4]=>[3,1,-4,5,-2]=>[3,1,4,5,2]=>0000
[2,-5,1,-3,-4]=>[3,1,-4,-5,-2]=>[3,1,4,5,2]=>0000
[2,-5,-1,3,4]=>[-3,1,4,5,-2]=>[3,1,4,5,2]=>0000
[2,-5,-1,3,-4]=>[-3,1,4,-5,-2]=>[3,1,4,5,2]=>0000
[2,-5,-1,-3,4]=>[-3,1,-4,5,-2]=>[3,1,4,5,2]=>0000
[2,-5,-1,-3,-4]=>[-3,1,-4,-5,-2]=>[3,1,4,5,2]=>0000
[-2,5,1,3,4]=>[3,-1,4,5,2]=>[3,1,4,5,2]=>0000
[-2,5,1,3,-4]=>[3,-1,4,-5,2]=>[3,1,4,5,2]=>0000
[-2,5,1,-3,4]=>[3,-1,-4,5,2]=>[3,1,4,5,2]=>0000
[-2,5,1,-3,-4]=>[3,-1,-4,-5,2]=>[3,1,4,5,2]=>0000
[-2,5,-1,3,4]=>[-3,-1,4,5,2]=>[3,1,4,5,2]=>0000
[-2,5,-1,3,-4]=>[-3,-1,4,-5,2]=>[3,1,4,5,2]=>0000
[-2,5,-1,-3,4]=>[-3,-1,-4,5,2]=>[3,1,4,5,2]=>0000
[-2,5,-1,-3,-4]=>[-3,-1,-4,-5,2]=>[3,1,4,5,2]=>0000
[-2,-5,1,3,4]=>[3,-1,4,5,-2]=>[3,1,4,5,2]=>0000
[-2,-5,1,3,-4]=>[3,-1,4,-5,-2]=>[3,1,4,5,2]=>0000
[-2,-5,1,-3,4]=>[3,-1,-4,5,-2]=>[3,1,4,5,2]=>0000
[-2,-5,1,-3,-4]=>[3,-1,-4,-5,-2]=>[3,1,4,5,2]=>0000
[-2,-5,-1,3,4]=>[-3,-1,4,5,-2]=>[3,1,4,5,2]=>0000
[-2,-5,-1,3,-4]=>[-3,-1,4,-5,-2]=>[3,1,4,5,2]=>0000
[-2,-5,-1,-3,4]=>[-3,-1,-4,5,-2]=>[3,1,4,5,2]=>0000
[-2,-5,-1,-3,-4]=>[-3,-1,-4,-5,-2]=>[3,1,4,5,2]=>0000
[2,5,1,4,3]=>[3,1,5,4,2]=>[3,1,5,4,2]=>0000
[2,5,1,4,-3]=>[3,1,-5,4,2]=>[3,1,5,4,2]=>0000
[2,5,1,-4,3]=>[3,1,5,-4,2]=>[3,1,5,4,2]=>0000
[2,5,1,-4,-3]=>[3,1,-5,-4,2]=>[3,1,5,4,2]=>0000
[2,5,-1,4,3]=>[-3,1,5,4,2]=>[3,1,5,4,2]=>0000
[2,5,-1,4,-3]=>[-3,1,-5,4,2]=>[3,1,5,4,2]=>0000
[2,5,-1,-4,3]=>[-3,1,5,-4,2]=>[3,1,5,4,2]=>0000
[2,5,-1,-4,-3]=>[-3,1,-5,-4,2]=>[3,1,5,4,2]=>0000
[2,-5,1,4,3]=>[3,1,5,4,-2]=>[3,1,5,4,2]=>0000
[2,-5,1,4,-3]=>[3,1,-5,4,-2]=>[3,1,5,4,2]=>0000
[2,-5,1,-4,3]=>[3,1,5,-4,-2]=>[3,1,5,4,2]=>0000
[2,-5,1,-4,-3]=>[3,1,-5,-4,-2]=>[3,1,5,4,2]=>0000
[2,-5,-1,4,3]=>[-3,1,5,4,-2]=>[3,1,5,4,2]=>0000
[2,-5,-1,4,-3]=>[-3,1,-5,4,-2]=>[3,1,5,4,2]=>0000
[2,-5,-1,-4,3]=>[-3,1,5,-4,-2]=>[3,1,5,4,2]=>0000
[2,-5,-1,-4,-3]=>[-3,1,-5,-4,-2]=>[3,1,5,4,2]=>0000
[-2,5,1,4,3]=>[3,-1,5,4,2]=>[3,1,5,4,2]=>0000
[-2,5,1,4,-3]=>[3,-1,-5,4,2]=>[3,1,5,4,2]=>0000
[-2,5,1,-4,3]=>[3,-1,5,-4,2]=>[3,1,5,4,2]=>0000
[-2,5,1,-4,-3]=>[3,-1,-5,-4,2]=>[3,1,5,4,2]=>0000
[-2,5,-1,4,3]=>[-3,-1,5,4,2]=>[3,1,5,4,2]=>0000
[-2,5,-1,4,-3]=>[-3,-1,-5,4,2]=>[3,1,5,4,2]=>0000
[-2,5,-1,-4,3]=>[-3,-1,5,-4,2]=>[3,1,5,4,2]=>0000
[-2,5,-1,-4,-3]=>[-3,-1,-5,-4,2]=>[3,1,5,4,2]=>0000
[-2,-5,1,4,3]=>[3,-1,5,4,-2]=>[3,1,5,4,2]=>0000
[-2,-5,1,4,-3]=>[3,-1,-5,4,-2]=>[3,1,5,4,2]=>0000
[-2,-5,1,-4,3]=>[3,-1,5,-4,-2]=>[3,1,5,4,2]=>0000
[-2,-5,1,-4,-3]=>[3,-1,-5,-4,-2]=>[3,1,5,4,2]=>0000
[-2,-5,-1,4,3]=>[-3,-1,5,4,-2]=>[3,1,5,4,2]=>0000
[-2,-5,-1,4,-3]=>[-3,-1,-5,4,-2]=>[3,1,5,4,2]=>0000
[-2,-5,-1,-4,3]=>[-3,-1,5,-4,-2]=>[3,1,5,4,2]=>0000
[-2,-5,-1,-4,-3]=>[-3,-1,-5,-4,-2]=>[3,1,5,4,2]=>0000
[2,5,3,1,4]=>[4,1,3,5,2]=>[4,1,3,5,2]=>0000
[2,5,3,1,-4]=>[4,1,3,-5,2]=>[4,1,3,5,2]=>0000
[2,5,3,-1,4]=>[-4,1,3,5,2]=>[4,1,3,5,2]=>0000
[2,5,3,-1,-4]=>[-4,1,3,-5,2]=>[4,1,3,5,2]=>0000
[2,5,-3,1,4]=>[4,1,-3,5,2]=>[4,1,3,5,2]=>0000
[2,5,-3,1,-4]=>[4,1,-3,-5,2]=>[4,1,3,5,2]=>0000
[2,5,-3,-1,4]=>[-4,1,-3,5,2]=>[4,1,3,5,2]=>0000
[2,5,-3,-1,-4]=>[-4,1,-3,-5,2]=>[4,1,3,5,2]=>0000
[2,-5,3,1,4]=>[4,1,3,5,-2]=>[4,1,3,5,2]=>0000
[2,-5,3,1,-4]=>[4,1,3,-5,-2]=>[4,1,3,5,2]=>0000
[2,-5,3,-1,4]=>[-4,1,3,5,-2]=>[4,1,3,5,2]=>0000
[2,-5,3,-1,-4]=>[-4,1,3,-5,-2]=>[4,1,3,5,2]=>0000
[2,-5,-3,1,4]=>[4,1,-3,5,-2]=>[4,1,3,5,2]=>0000
[2,-5,-3,1,-4]=>[4,1,-3,-5,-2]=>[4,1,3,5,2]=>0000
[2,-5,-3,-1,4]=>[-4,1,-3,5,-2]=>[4,1,3,5,2]=>0000
[2,-5,-3,-1,-4]=>[-4,1,-3,-5,-2]=>[4,1,3,5,2]=>0000
[-2,5,3,1,4]=>[4,-1,3,5,2]=>[4,1,3,5,2]=>0000
[-2,5,3,1,-4]=>[4,-1,3,-5,2]=>[4,1,3,5,2]=>0000
[-2,5,3,-1,4]=>[-4,-1,3,5,2]=>[4,1,3,5,2]=>0000
[-2,5,3,-1,-4]=>[-4,-1,3,-5,2]=>[4,1,3,5,2]=>0000
[-2,5,-3,1,4]=>[4,-1,-3,5,2]=>[4,1,3,5,2]=>0000
[-2,5,-3,1,-4]=>[4,-1,-3,-5,2]=>[4,1,3,5,2]=>0000
[-2,5,-3,-1,4]=>[-4,-1,-3,5,2]=>[4,1,3,5,2]=>0000
[-2,5,-3,-1,-4]=>[-4,-1,-3,-5,2]=>[4,1,3,5,2]=>0000
[-2,-5,3,1,4]=>[4,-1,3,5,-2]=>[4,1,3,5,2]=>0000
[-2,-5,3,1,-4]=>[4,-1,3,-5,-2]=>[4,1,3,5,2]=>0000
[-2,-5,3,-1,4]=>[-4,-1,3,5,-2]=>[4,1,3,5,2]=>0000
[-2,-5,3,-1,-4]=>[-4,-1,3,-5,-2]=>[4,1,3,5,2]=>0000
[-2,-5,-3,1,4]=>[4,-1,-3,5,-2]=>[4,1,3,5,2]=>0000
[-2,-5,-3,1,-4]=>[4,-1,-3,-5,-2]=>[4,1,3,5,2]=>0000
[-2,-5,-3,-1,4]=>[-4,-1,-3,5,-2]=>[4,1,3,5,2]=>0000
[-2,-5,-3,-1,-4]=>[-4,-1,-3,-5,-2]=>[4,1,3,5,2]=>0000
[2,5,3,4,1]=>[5,1,3,4,2]=>[5,1,3,4,2]=>0000
[2,5,3,4,-1]=>[-5,1,3,4,2]=>[5,1,3,4,2]=>0000
[2,5,3,-4,1]=>[5,1,3,-4,2]=>[5,1,3,4,2]=>0000
[2,5,3,-4,-1]=>[-5,1,3,-4,2]=>[5,1,3,4,2]=>0000
[2,5,-3,4,1]=>[5,1,-3,4,2]=>[5,1,3,4,2]=>0000
[2,5,-3,4,-1]=>[-5,1,-3,4,2]=>[5,1,3,4,2]=>0000
[2,5,-3,-4,1]=>[5,1,-3,-4,2]=>[5,1,3,4,2]=>0000
[2,5,-3,-4,-1]=>[-5,1,-3,-4,2]=>[5,1,3,4,2]=>0000
[2,-5,3,4,1]=>[5,1,3,4,-2]=>[5,1,3,4,2]=>0000
[2,-5,3,4,-1]=>[-5,1,3,4,-2]=>[5,1,3,4,2]=>0000
[2,-5,3,-4,1]=>[5,1,3,-4,-2]=>[5,1,3,4,2]=>0000
[2,-5,3,-4,-1]=>[-5,1,3,-4,-2]=>[5,1,3,4,2]=>0000
[2,-5,-3,4,1]=>[5,1,-3,4,-2]=>[5,1,3,4,2]=>0000
[2,-5,-3,4,-1]=>[-5,1,-3,4,-2]=>[5,1,3,4,2]=>0000
[2,-5,-3,-4,1]=>[5,1,-3,-4,-2]=>[5,1,3,4,2]=>0000
[2,-5,-3,-4,-1]=>[-5,1,-3,-4,-2]=>[5,1,3,4,2]=>0000
[-2,5,3,4,1]=>[5,-1,3,4,2]=>[5,1,3,4,2]=>0000
[-2,5,3,4,-1]=>[-5,-1,3,4,2]=>[5,1,3,4,2]=>0000
[-2,5,3,-4,1]=>[5,-1,3,-4,2]=>[5,1,3,4,2]=>0000
[-2,5,3,-4,-1]=>[-5,-1,3,-4,2]=>[5,1,3,4,2]=>0000
[-2,5,-3,4,1]=>[5,-1,-3,4,2]=>[5,1,3,4,2]=>0000
[-2,5,-3,4,-1]=>[-5,-1,-3,4,2]=>[5,1,3,4,2]=>0000
[-2,5,-3,-4,1]=>[5,-1,-3,-4,2]=>[5,1,3,4,2]=>0000
[-2,5,-3,-4,-1]=>[-5,-1,-3,-4,2]=>[5,1,3,4,2]=>0000
[-2,-5,3,4,1]=>[5,-1,3,4,-2]=>[5,1,3,4,2]=>0000
[-2,-5,3,4,-1]=>[-5,-1,3,4,-2]=>[5,1,3,4,2]=>0000
[-2,-5,3,-4,1]=>[5,-1,3,-4,-2]=>[5,1,3,4,2]=>0000
[-2,-5,3,-4,-1]=>[-5,-1,3,-4,-2]=>[5,1,3,4,2]=>0000
[-2,-5,-3,4,1]=>[5,-1,-3,4,-2]=>[5,1,3,4,2]=>0000
[-2,-5,-3,4,-1]=>[-5,-1,-3,4,-2]=>[5,1,3,4,2]=>0000
[-2,-5,-3,-4,1]=>[5,-1,-3,-4,-2]=>[5,1,3,4,2]=>0000
[-2,-5,-3,-4,-1]=>[-5,-1,-3,-4,-2]=>[5,1,3,4,2]=>0000
[2,5,4,1,3]=>[4,1,5,3,2]=>[4,1,5,3,2]=>0000
[2,5,4,1,-3]=>[4,1,-5,3,2]=>[4,1,5,3,2]=>0000
[2,5,4,-1,3]=>[-4,1,5,3,2]=>[4,1,5,3,2]=>0000
[2,5,4,-1,-3]=>[-4,1,-5,3,2]=>[4,1,5,3,2]=>0000
[2,5,-4,1,3]=>[4,1,5,-3,2]=>[4,1,5,3,2]=>0000
[2,5,-4,1,-3]=>[4,1,-5,-3,2]=>[4,1,5,3,2]=>0000
[2,5,-4,-1,3]=>[-4,1,5,-3,2]=>[4,1,5,3,2]=>0000
[2,5,-4,-1,-3]=>[-4,1,-5,-3,2]=>[4,1,5,3,2]=>0000
[2,-5,4,1,3]=>[4,1,5,3,-2]=>[4,1,5,3,2]=>0000
[2,-5,4,1,-3]=>[4,1,-5,3,-2]=>[4,1,5,3,2]=>0000
[2,-5,4,-1,3]=>[-4,1,5,3,-2]=>[4,1,5,3,2]=>0000
[2,-5,4,-1,-3]=>[-4,1,-5,3,-2]=>[4,1,5,3,2]=>0000
[2,-5,-4,1,3]=>[4,1,5,-3,-2]=>[4,1,5,3,2]=>0000
[2,-5,-4,1,-3]=>[4,1,-5,-3,-2]=>[4,1,5,3,2]=>0000
[2,-5,-4,-1,3]=>[-4,1,5,-3,-2]=>[4,1,5,3,2]=>0000
[2,-5,-4,-1,-3]=>[-4,1,-5,-3,-2]=>[4,1,5,3,2]=>0000
[-2,5,4,1,3]=>[4,-1,5,3,2]=>[4,1,5,3,2]=>0000
[-2,5,4,1,-3]=>[4,-1,-5,3,2]=>[4,1,5,3,2]=>0000
[-2,5,4,-1,3]=>[-4,-1,5,3,2]=>[4,1,5,3,2]=>0000
[-2,5,4,-1,-3]=>[-4,-1,-5,3,2]=>[4,1,5,3,2]=>0000
[-2,5,-4,1,3]=>[4,-1,5,-3,2]=>[4,1,5,3,2]=>0000
[-2,5,-4,1,-3]=>[4,-1,-5,-3,2]=>[4,1,5,3,2]=>0000
[-2,5,-4,-1,3]=>[-4,-1,5,-3,2]=>[4,1,5,3,2]=>0000
[-2,5,-4,-1,-3]=>[-4,-1,-5,-3,2]=>[4,1,5,3,2]=>0000
[-2,-5,4,1,3]=>[4,-1,5,3,-2]=>[4,1,5,3,2]=>0000
[-2,-5,4,1,-3]=>[4,-1,-5,3,-2]=>[4,1,5,3,2]=>0000
[-2,-5,4,-1,3]=>[-4,-1,5,3,-2]=>[4,1,5,3,2]=>0000
[-2,-5,4,-1,-3]=>[-4,-1,-5,3,-2]=>[4,1,5,3,2]=>0000
[-2,-5,-4,1,3]=>[4,-1,5,-3,-2]=>[4,1,5,3,2]=>0000
[-2,-5,-4,1,-3]=>[4,-1,-5,-3,-2]=>[4,1,5,3,2]=>0000
[-2,-5,-4,-1,3]=>[-4,-1,5,-3,-2]=>[4,1,5,3,2]=>0000
[-2,-5,-4,-1,-3]=>[-4,-1,-5,-3,-2]=>[4,1,5,3,2]=>0000
[2,5,4,3,1]=>[5,1,4,3,2]=>[5,1,4,3,2]=>0000
[2,5,4,3,-1]=>[-5,1,4,3,2]=>[5,1,4,3,2]=>0000
[2,5,4,-3,1]=>[5,1,-4,3,2]=>[5,1,4,3,2]=>0000
[2,5,4,-3,-1]=>[-5,1,-4,3,2]=>[5,1,4,3,2]=>0000
[2,5,-4,3,1]=>[5,1,4,-3,2]=>[5,1,4,3,2]=>0000
[2,5,-4,3,-1]=>[-5,1,4,-3,2]=>[5,1,4,3,2]=>0000
[2,5,-4,-3,1]=>[5,1,-4,-3,2]=>[5,1,4,3,2]=>0000
[2,5,-4,-3,-1]=>[-5,1,-4,-3,2]=>[5,1,4,3,2]=>0000
[2,-5,4,3,1]=>[5,1,4,3,-2]=>[5,1,4,3,2]=>0000
[2,-5,4,3,-1]=>[-5,1,4,3,-2]=>[5,1,4,3,2]=>0000
[2,-5,4,-3,1]=>[5,1,-4,3,-2]=>[5,1,4,3,2]=>0000
[2,-5,4,-3,-1]=>[-5,1,-4,3,-2]=>[5,1,4,3,2]=>0000
[2,-5,-4,3,1]=>[5,1,4,-3,-2]=>[5,1,4,3,2]=>0000
[2,-5,-4,3,-1]=>[-5,1,4,-3,-2]=>[5,1,4,3,2]=>0000
[2,-5,-4,-3,1]=>[5,1,-4,-3,-2]=>[5,1,4,3,2]=>0000
[2,-5,-4,-3,-1]=>[-5,1,-4,-3,-2]=>[5,1,4,3,2]=>0000
[-2,5,4,3,1]=>[5,-1,4,3,2]=>[5,1,4,3,2]=>0000
[-2,5,4,3,-1]=>[-5,-1,4,3,2]=>[5,1,4,3,2]=>0000
[-2,5,4,-3,1]=>[5,-1,-4,3,2]=>[5,1,4,3,2]=>0000
[-2,5,4,-3,-1]=>[-5,-1,-4,3,2]=>[5,1,4,3,2]=>0000
[-2,5,-4,3,1]=>[5,-1,4,-3,2]=>[5,1,4,3,2]=>0000
[-2,5,-4,3,-1]=>[-5,-1,4,-3,2]=>[5,1,4,3,2]=>0000
[-2,5,-4,-3,1]=>[5,-1,-4,-3,2]=>[5,1,4,3,2]=>0000
[-2,5,-4,-3,-1]=>[-5,-1,-4,-3,2]=>[5,1,4,3,2]=>0000
[-2,-5,4,3,1]=>[5,-1,4,3,-2]=>[5,1,4,3,2]=>0000
[-2,-5,4,3,-1]=>[-5,-1,4,3,-2]=>[5,1,4,3,2]=>0000
[-2,-5,4,-3,1]=>[5,-1,-4,3,-2]=>[5,1,4,3,2]=>0000
[-2,-5,4,-3,-1]=>[-5,-1,-4,3,-2]=>[5,1,4,3,2]=>0000
[-2,-5,-4,3,1]=>[5,-1,4,-3,-2]=>[5,1,4,3,2]=>0000
[-2,-5,-4,3,-1]=>[-5,-1,4,-3,-2]=>[5,1,4,3,2]=>0000
[-2,-5,-4,-3,1]=>[5,-1,-4,-3,-2]=>[5,1,4,3,2]=>0000
[-2,-5,-4,-3,-1]=>[-5,-1,-4,-3,-2]=>[5,1,4,3,2]=>0000
[3,1,2,4,5]=>[2,3,1,4,5]=>[2,3,1,4,5]=>0011
[3,1,2,4,-5]=>[2,3,1,4,-5]=>[2,3,1,4,5]=>0011
[3,1,2,-4,5]=>[2,3,1,-4,5]=>[2,3,1,4,5]=>0011
[3,1,2,-4,-5]=>[2,3,1,-4,-5]=>[2,3,1,4,5]=>0011
[3,1,-2,4,5]=>[2,-3,1,4,5]=>[2,3,1,4,5]=>0011
[3,1,-2,4,-5]=>[2,-3,1,4,-5]=>[2,3,1,4,5]=>0011
[3,1,-2,-4,5]=>[2,-3,1,-4,5]=>[2,3,1,4,5]=>0011
[3,1,-2,-4,-5]=>[2,-3,1,-4,-5]=>[2,3,1,4,5]=>0011
[3,-1,2,4,5]=>[-2,3,1,4,5]=>[2,3,1,4,5]=>0011
[3,-1,2,4,-5]=>[-2,3,1,4,-5]=>[2,3,1,4,5]=>0011
[3,-1,2,-4,5]=>[-2,3,1,-4,5]=>[2,3,1,4,5]=>0011
[3,-1,2,-4,-5]=>[-2,3,1,-4,-5]=>[2,3,1,4,5]=>0011
[3,-1,-2,4,5]=>[-2,-3,1,4,5]=>[2,3,1,4,5]=>0011
[3,-1,-2,4,-5]=>[-2,-3,1,4,-5]=>[2,3,1,4,5]=>0011
[3,-1,-2,-4,5]=>[-2,-3,1,-4,5]=>[2,3,1,4,5]=>0011
[3,-1,-2,-4,-5]=>[-2,-3,1,-4,-5]=>[2,3,1,4,5]=>0011
[-3,1,2,4,5]=>[2,3,-1,4,5]=>[2,3,1,4,5]=>0011
[-3,1,2,4,-5]=>[2,3,-1,4,-5]=>[2,3,1,4,5]=>0011
[-3,1,2,-4,5]=>[2,3,-1,-4,5]=>[2,3,1,4,5]=>0011
[-3,1,2,-4,-5]=>[2,3,-1,-4,-5]=>[2,3,1,4,5]=>0011
[-3,1,-2,4,5]=>[2,-3,-1,4,5]=>[2,3,1,4,5]=>0011
[-3,1,-2,4,-5]=>[2,-3,-1,4,-5]=>[2,3,1,4,5]=>0011
[-3,1,-2,-4,5]=>[2,-3,-1,-4,5]=>[2,3,1,4,5]=>0011
[-3,1,-2,-4,-5]=>[2,-3,-1,-4,-5]=>[2,3,1,4,5]=>0011
[-3,-1,2,4,5]=>[-2,3,-1,4,5]=>[2,3,1,4,5]=>0011
[-3,-1,2,4,-5]=>[-2,3,-1,4,-5]=>[2,3,1,4,5]=>0011
[-3,-1,2,-4,5]=>[-2,3,-1,-4,5]=>[2,3,1,4,5]=>0011
[-3,-1,2,-4,-5]=>[-2,3,-1,-4,-5]=>[2,3,1,4,5]=>0011
[-3,-1,-2,4,5]=>[-2,-3,-1,4,5]=>[2,3,1,4,5]=>0011
[-3,-1,-2,4,-5]=>[-2,-3,-1,4,-5]=>[2,3,1,4,5]=>0011
[-3,-1,-2,-4,5]=>[-2,-3,-1,-4,5]=>[2,3,1,4,5]=>0011
[-3,-1,-2,-4,-5]=>[-2,-3,-1,-4,-5]=>[2,3,1,4,5]=>0011
[3,1,2,5,4]=>[2,3,1,5,4]=>[2,3,1,5,4]=>0010
[3,1,2,5,-4]=>[2,3,1,-5,4]=>[2,3,1,5,4]=>0010
[3,1,2,-5,4]=>[2,3,1,5,-4]=>[2,3,1,5,4]=>0010
[3,1,2,-5,-4]=>[2,3,1,-5,-4]=>[2,3,1,5,4]=>0010
[3,1,-2,5,4]=>[2,-3,1,5,4]=>[2,3,1,5,4]=>0010
[3,1,-2,5,-4]=>[2,-3,1,-5,4]=>[2,3,1,5,4]=>0010
[3,1,-2,-5,4]=>[2,-3,1,5,-4]=>[2,3,1,5,4]=>0010
[3,1,-2,-5,-4]=>[2,-3,1,-5,-4]=>[2,3,1,5,4]=>0010
[3,-1,2,5,4]=>[-2,3,1,5,4]=>[2,3,1,5,4]=>0010
[3,-1,2,5,-4]=>[-2,3,1,-5,4]=>[2,3,1,5,4]=>0010
[3,-1,2,-5,4]=>[-2,3,1,5,-4]=>[2,3,1,5,4]=>0010
[3,-1,2,-5,-4]=>[-2,3,1,-5,-4]=>[2,3,1,5,4]=>0010
[3,-1,-2,5,4]=>[-2,-3,1,5,4]=>[2,3,1,5,4]=>0010
[3,-1,-2,5,-4]=>[-2,-3,1,-5,4]=>[2,3,1,5,4]=>0010
[3,-1,-2,-5,4]=>[-2,-3,1,5,-4]=>[2,3,1,5,4]=>0010
[3,-1,-2,-5,-4]=>[-2,-3,1,-5,-4]=>[2,3,1,5,4]=>0010
[-3,1,2,5,4]=>[2,3,-1,5,4]=>[2,3,1,5,4]=>0010
[-3,1,2,5,-4]=>[2,3,-1,-5,4]=>[2,3,1,5,4]=>0010
[-3,1,2,-5,4]=>[2,3,-1,5,-4]=>[2,3,1,5,4]=>0010
[-3,1,2,-5,-4]=>[2,3,-1,-5,-4]=>[2,3,1,5,4]=>0010
[-3,1,-2,5,4]=>[2,-3,-1,5,4]=>[2,3,1,5,4]=>0010
[-3,1,-2,5,-4]=>[2,-3,-1,-5,4]=>[2,3,1,5,4]=>0010
[-3,1,-2,-5,4]=>[2,-3,-1,5,-4]=>[2,3,1,5,4]=>0010
[-3,1,-2,-5,-4]=>[2,-3,-1,-5,-4]=>[2,3,1,5,4]=>0010
[-3,-1,2,5,4]=>[-2,3,-1,5,4]=>[2,3,1,5,4]=>0010
[-3,-1,2,5,-4]=>[-2,3,-1,-5,4]=>[2,3,1,5,4]=>0010
[-3,-1,2,-5,4]=>[-2,3,-1,5,-4]=>[2,3,1,5,4]=>0010
[-3,-1,2,-5,-4]=>[-2,3,-1,-5,-4]=>[2,3,1,5,4]=>0010
[-3,-1,-2,5,4]=>[-2,-3,-1,5,4]=>[2,3,1,5,4]=>0010
[-3,-1,-2,5,-4]=>[-2,-3,-1,-5,4]=>[2,3,1,5,4]=>0010
[-3,-1,-2,-5,4]=>[-2,-3,-1,5,-4]=>[2,3,1,5,4]=>0010
[-3,-1,-2,-5,-4]=>[-2,-3,-1,-5,-4]=>[2,3,1,5,4]=>0010
[3,1,4,2,5]=>[2,4,1,3,5]=>[2,4,1,3,5]=>0001
[3,1,4,2,-5]=>[2,4,1,3,-5]=>[2,4,1,3,5]=>0001
[3,1,4,-2,5]=>[2,-4,1,3,5]=>[2,4,1,3,5]=>0001
[3,1,4,-2,-5]=>[2,-4,1,3,-5]=>[2,4,1,3,5]=>0001
[3,1,-4,2,5]=>[2,4,1,-3,5]=>[2,4,1,3,5]=>0001
[3,1,-4,2,-5]=>[2,4,1,-3,-5]=>[2,4,1,3,5]=>0001
[3,1,-4,-2,5]=>[2,-4,1,-3,5]=>[2,4,1,3,5]=>0001
[3,1,-4,-2,-5]=>[2,-4,1,-3,-5]=>[2,4,1,3,5]=>0001
[3,-1,4,2,5]=>[-2,4,1,3,5]=>[2,4,1,3,5]=>0001
[3,-1,4,2,-5]=>[-2,4,1,3,-5]=>[2,4,1,3,5]=>0001
[3,-1,4,-2,5]=>[-2,-4,1,3,5]=>[2,4,1,3,5]=>0001
[3,-1,4,-2,-5]=>[-2,-4,1,3,-5]=>[2,4,1,3,5]=>0001
[3,-1,-4,2,5]=>[-2,4,1,-3,5]=>[2,4,1,3,5]=>0001
[3,-1,-4,2,-5]=>[-2,4,1,-3,-5]=>[2,4,1,3,5]=>0001
[3,-1,-4,-2,5]=>[-2,-4,1,-3,5]=>[2,4,1,3,5]=>0001
[3,-1,-4,-2,-5]=>[-2,-4,1,-3,-5]=>[2,4,1,3,5]=>0001
[-3,1,4,2,5]=>[2,4,-1,3,5]=>[2,4,1,3,5]=>0001
[-3,1,4,2,-5]=>[2,4,-1,3,-5]=>[2,4,1,3,5]=>0001
[-3,1,4,-2,5]=>[2,-4,-1,3,5]=>[2,4,1,3,5]=>0001
[-3,1,4,-2,-5]=>[2,-4,-1,3,-5]=>[2,4,1,3,5]=>0001
[-3,1,-4,2,5]=>[2,4,-1,-3,5]=>[2,4,1,3,5]=>0001
[-3,1,-4,2,-5]=>[2,4,-1,-3,-5]=>[2,4,1,3,5]=>0001
[-3,1,-4,-2,5]=>[2,-4,-1,-3,5]=>[2,4,1,3,5]=>0001
[-3,1,-4,-2,-5]=>[2,-4,-1,-3,-5]=>[2,4,1,3,5]=>0001
[-3,-1,4,2,5]=>[-2,4,-1,3,5]=>[2,4,1,3,5]=>0001
[-3,-1,4,2,-5]=>[-2,4,-1,3,-5]=>[2,4,1,3,5]=>0001
[-3,-1,4,-2,5]=>[-2,-4,-1,3,5]=>[2,4,1,3,5]=>0001
[-3,-1,4,-2,-5]=>[-2,-4,-1,3,-5]=>[2,4,1,3,5]=>0001
[-3,-1,-4,2,5]=>[-2,4,-1,-3,5]=>[2,4,1,3,5]=>0001
[-3,-1,-4,2,-5]=>[-2,4,-1,-3,-5]=>[2,4,1,3,5]=>0001
[-3,-1,-4,-2,5]=>[-2,-4,-1,-3,5]=>[2,4,1,3,5]=>0001
[-3,-1,-4,-2,-5]=>[-2,-4,-1,-3,-5]=>[2,4,1,3,5]=>0001
[3,1,4,5,2]=>[2,5,1,3,4]=>[2,5,1,3,4]=>0000
[3,1,4,5,-2]=>[2,-5,1,3,4]=>[2,5,1,3,4]=>0000
[3,1,4,-5,2]=>[2,5,1,3,-4]=>[2,5,1,3,4]=>0000
[3,1,4,-5,-2]=>[2,-5,1,3,-4]=>[2,5,1,3,4]=>0000
[3,1,-4,5,2]=>[2,5,1,-3,4]=>[2,5,1,3,4]=>0000
[3,1,-4,5,-2]=>[2,-5,1,-3,4]=>[2,5,1,3,4]=>0000
[3,1,-4,-5,2]=>[2,5,1,-3,-4]=>[2,5,1,3,4]=>0000
[3,1,-4,-5,-2]=>[2,-5,1,-3,-4]=>[2,5,1,3,4]=>0000
[3,-1,4,5,2]=>[-2,5,1,3,4]=>[2,5,1,3,4]=>0000
[3,-1,4,5,-2]=>[-2,-5,1,3,4]=>[2,5,1,3,4]=>0000
[3,-1,4,-5,2]=>[-2,5,1,3,-4]=>[2,5,1,3,4]=>0000
[3,-1,4,-5,-2]=>[-2,-5,1,3,-4]=>[2,5,1,3,4]=>0000
[3,-1,-4,5,2]=>[-2,5,1,-3,4]=>[2,5,1,3,4]=>0000
[3,-1,-4,5,-2]=>[-2,-5,1,-3,4]=>[2,5,1,3,4]=>0000
[3,-1,-4,-5,2]=>[-2,5,1,-3,-4]=>[2,5,1,3,4]=>0000
[3,-1,-4,-5,-2]=>[-2,-5,1,-3,-4]=>[2,5,1,3,4]=>0000
[-3,1,4,5,2]=>[2,5,-1,3,4]=>[2,5,1,3,4]=>0000
[-3,1,4,5,-2]=>[2,-5,-1,3,4]=>[2,5,1,3,4]=>0000
[-3,1,4,-5,2]=>[2,5,-1,3,-4]=>[2,5,1,3,4]=>0000
[-3,1,4,-5,-2]=>[2,-5,-1,3,-4]=>[2,5,1,3,4]=>0000
[-3,1,-4,5,2]=>[2,5,-1,-3,4]=>[2,5,1,3,4]=>0000
[-3,1,-4,5,-2]=>[2,-5,-1,-3,4]=>[2,5,1,3,4]=>0000
[-3,1,-4,-5,2]=>[2,5,-1,-3,-4]=>[2,5,1,3,4]=>0000
[-3,1,-4,-5,-2]=>[2,-5,-1,-3,-4]=>[2,5,1,3,4]=>0000
[-3,-1,4,5,2]=>[-2,5,-1,3,4]=>[2,5,1,3,4]=>0000
[-3,-1,4,5,-2]=>[-2,-5,-1,3,4]=>[2,5,1,3,4]=>0000
[-3,-1,4,-5,2]=>[-2,5,-1,3,-4]=>[2,5,1,3,4]=>0000
[-3,-1,4,-5,-2]=>[-2,-5,-1,3,-4]=>[2,5,1,3,4]=>0000
[-3,-1,-4,5,2]=>[-2,5,-1,-3,4]=>[2,5,1,3,4]=>0000
[-3,-1,-4,5,-2]=>[-2,-5,-1,-3,4]=>[2,5,1,3,4]=>0000
[-3,-1,-4,-5,2]=>[-2,5,-1,-3,-4]=>[2,5,1,3,4]=>0000
[-3,-1,-4,-5,-2]=>[-2,-5,-1,-3,-4]=>[2,5,1,3,4]=>0000
[3,1,5,2,4]=>[2,4,1,5,3]=>[2,4,1,5,3]=>0000
[3,1,5,2,-4]=>[2,4,1,-5,3]=>[2,4,1,5,3]=>0000
[3,1,5,-2,4]=>[2,-4,1,5,3]=>[2,4,1,5,3]=>0000
[3,1,5,-2,-4]=>[2,-4,1,-5,3]=>[2,4,1,5,3]=>0000
[3,1,-5,2,4]=>[2,4,1,5,-3]=>[2,4,1,5,3]=>0000
[3,1,-5,2,-4]=>[2,4,1,-5,-3]=>[2,4,1,5,3]=>0000
[3,1,-5,-2,4]=>[2,-4,1,5,-3]=>[2,4,1,5,3]=>0000
[3,1,-5,-2,-4]=>[2,-4,1,-5,-3]=>[2,4,1,5,3]=>0000
[3,-1,5,2,4]=>[-2,4,1,5,3]=>[2,4,1,5,3]=>0000
[3,-1,5,2,-4]=>[-2,4,1,-5,3]=>[2,4,1,5,3]=>0000
[3,-1,5,-2,4]=>[-2,-4,1,5,3]=>[2,4,1,5,3]=>0000
[3,-1,5,-2,-4]=>[-2,-4,1,-5,3]=>[2,4,1,5,3]=>0000
[3,-1,-5,2,4]=>[-2,4,1,5,-3]=>[2,4,1,5,3]=>0000
[3,-1,-5,2,-4]=>[-2,4,1,-5,-3]=>[2,4,1,5,3]=>0000
[3,-1,-5,-2,4]=>[-2,-4,1,5,-3]=>[2,4,1,5,3]=>0000
[3,-1,-5,-2,-4]=>[-2,-4,1,-5,-3]=>[2,4,1,5,3]=>0000
[-3,1,5,2,4]=>[2,4,-1,5,3]=>[2,4,1,5,3]=>0000
[-3,1,5,2,-4]=>[2,4,-1,-5,3]=>[2,4,1,5,3]=>0000
[-3,1,5,-2,4]=>[2,-4,-1,5,3]=>[2,4,1,5,3]=>0000
[-3,1,5,-2,-4]=>[2,-4,-1,-5,3]=>[2,4,1,5,3]=>0000
[-3,1,-5,2,4]=>[2,4,-1,5,-3]=>[2,4,1,5,3]=>0000
[-3,1,-5,2,-4]=>[2,4,-1,-5,-3]=>[2,4,1,5,3]=>0000
[-3,1,-5,-2,4]=>[2,-4,-1,5,-3]=>[2,4,1,5,3]=>0000
[-3,1,-5,-2,-4]=>[2,-4,-1,-5,-3]=>[2,4,1,5,3]=>0000
[-3,-1,5,2,4]=>[-2,4,-1,5,3]=>[2,4,1,5,3]=>0000
[-3,-1,5,2,-4]=>[-2,4,-1,-5,3]=>[2,4,1,5,3]=>0000
[-3,-1,5,-2,4]=>[-2,-4,-1,5,3]=>[2,4,1,5,3]=>0000
[-3,-1,5,-2,-4]=>[-2,-4,-1,-5,3]=>[2,4,1,5,3]=>0000
[-3,-1,-5,2,4]=>[-2,4,-1,5,-3]=>[2,4,1,5,3]=>0000
[-3,-1,-5,2,-4]=>[-2,4,-1,-5,-3]=>[2,4,1,5,3]=>0000
[-3,-1,-5,-2,4]=>[-2,-4,-1,5,-3]=>[2,4,1,5,3]=>0000
[-3,-1,-5,-2,-4]=>[-2,-4,-1,-5,-3]=>[2,4,1,5,3]=>0000
[3,1,5,4,2]=>[2,5,1,4,3]=>[2,5,1,4,3]=>0000
[3,1,5,4,-2]=>[2,-5,1,4,3]=>[2,5,1,4,3]=>0000
[3,1,5,-4,2]=>[2,5,1,-4,3]=>[2,5,1,4,3]=>0000
[3,1,5,-4,-2]=>[2,-5,1,-4,3]=>[2,5,1,4,3]=>0000
[3,1,-5,4,2]=>[2,5,1,4,-3]=>[2,5,1,4,3]=>0000
[3,1,-5,4,-2]=>[2,-5,1,4,-3]=>[2,5,1,4,3]=>0000
[3,1,-5,-4,2]=>[2,5,1,-4,-3]=>[2,5,1,4,3]=>0000
[3,1,-5,-4,-2]=>[2,-5,1,-4,-3]=>[2,5,1,4,3]=>0000
[3,-1,5,4,2]=>[-2,5,1,4,3]=>[2,5,1,4,3]=>0000
[3,-1,5,4,-2]=>[-2,-5,1,4,3]=>[2,5,1,4,3]=>0000
[3,-1,5,-4,2]=>[-2,5,1,-4,3]=>[2,5,1,4,3]=>0000
[3,-1,5,-4,-2]=>[-2,-5,1,-4,3]=>[2,5,1,4,3]=>0000
[3,-1,-5,4,2]=>[-2,5,1,4,-3]=>[2,5,1,4,3]=>0000
[3,-1,-5,4,-2]=>[-2,-5,1,4,-3]=>[2,5,1,4,3]=>0000
[3,-1,-5,-4,2]=>[-2,5,1,-4,-3]=>[2,5,1,4,3]=>0000
[3,-1,-5,-4,-2]=>[-2,-5,1,-4,-3]=>[2,5,1,4,3]=>0000
[-3,1,5,4,2]=>[2,5,-1,4,3]=>[2,5,1,4,3]=>0000
[-3,1,5,4,-2]=>[2,-5,-1,4,3]=>[2,5,1,4,3]=>0000
[-3,1,5,-4,2]=>[2,5,-1,-4,3]=>[2,5,1,4,3]=>0000
[-3,1,5,-4,-2]=>[2,-5,-1,-4,3]=>[2,5,1,4,3]=>0000
[-3,1,-5,4,2]=>[2,5,-1,4,-3]=>[2,5,1,4,3]=>0000
[-3,1,-5,4,-2]=>[2,-5,-1,4,-3]=>[2,5,1,4,3]=>0000
[-3,1,-5,-4,2]=>[2,5,-1,-4,-3]=>[2,5,1,4,3]=>0000
[-3,1,-5,-4,-2]=>[2,-5,-1,-4,-3]=>[2,5,1,4,3]=>0000
[-3,-1,5,4,2]=>[-2,5,-1,4,3]=>[2,5,1,4,3]=>0000
[-3,-1,5,4,-2]=>[-2,-5,-1,4,3]=>[2,5,1,4,3]=>0000
[-3,-1,5,-4,2]=>[-2,5,-1,-4,3]=>[2,5,1,4,3]=>0000
[-3,-1,5,-4,-2]=>[-2,-5,-1,-4,3]=>[2,5,1,4,3]=>0000
[-3,-1,-5,4,2]=>[-2,5,-1,4,-3]=>[2,5,1,4,3]=>0000
[-3,-1,-5,4,-2]=>[-2,-5,-1,4,-3]=>[2,5,1,4,3]=>0000
[-3,-1,-5,-4,2]=>[-2,5,-1,-4,-3]=>[2,5,1,4,3]=>0000
[-3,-1,-5,-4,-2]=>[-2,-5,-1,-4,-3]=>[2,5,1,4,3]=>0000
[3,2,1,4,5]=>[3,2,1,4,5]=>[3,2,1,4,5]=>0011
[3,2,1,4,-5]=>[3,2,1,4,-5]=>[3,2,1,4,5]=>0011
[3,2,1,-4,5]=>[3,2,1,-4,5]=>[3,2,1,4,5]=>0011
[3,2,1,-4,-5]=>[3,2,1,-4,-5]=>[3,2,1,4,5]=>0011
[3,2,-1,4,5]=>[-3,2,1,4,5]=>[3,2,1,4,5]=>0011
[3,2,-1,4,-5]=>[-3,2,1,4,-5]=>[3,2,1,4,5]=>0011
[3,2,-1,-4,5]=>[-3,2,1,-4,5]=>[3,2,1,4,5]=>0011
[3,2,-1,-4,-5]=>[-3,2,1,-4,-5]=>[3,2,1,4,5]=>0011
[3,-2,1,4,5]=>[3,-2,1,4,5]=>[3,2,1,4,5]=>0011
[3,-2,1,4,-5]=>[3,-2,1,4,-5]=>[3,2,1,4,5]=>0011
[3,-2,1,-4,5]=>[3,-2,1,-4,5]=>[3,2,1,4,5]=>0011
[3,-2,1,-4,-5]=>[3,-2,1,-4,-5]=>[3,2,1,4,5]=>0011
[3,-2,-1,4,5]=>[-3,-2,1,4,5]=>[3,2,1,4,5]=>0011
[3,-2,-1,4,-5]=>[-3,-2,1,4,-5]=>[3,2,1,4,5]=>0011
[3,-2,-1,-4,5]=>[-3,-2,1,-4,5]=>[3,2,1,4,5]=>0011
[3,-2,-1,-4,-5]=>[-3,-2,1,-4,-5]=>[3,2,1,4,5]=>0011
[-3,2,1,4,5]=>[3,2,-1,4,5]=>[3,2,1,4,5]=>0011
[-3,2,1,4,-5]=>[3,2,-1,4,-5]=>[3,2,1,4,5]=>0011
[-3,2,1,-4,5]=>[3,2,-1,-4,5]=>[3,2,1,4,5]=>0011
[-3,2,1,-4,-5]=>[3,2,-1,-4,-5]=>[3,2,1,4,5]=>0011
[-3,2,-1,4,5]=>[-3,2,-1,4,5]=>[3,2,1,4,5]=>0011
[-3,2,-1,4,-5]=>[-3,2,-1,4,-5]=>[3,2,1,4,5]=>0011
[-3,2,-1,-4,5]=>[-3,2,-1,-4,5]=>[3,2,1,4,5]=>0011
[-3,2,-1,-4,-5]=>[-3,2,-1,-4,-5]=>[3,2,1,4,5]=>0011
[-3,-2,1,4,5]=>[3,-2,-1,4,5]=>[3,2,1,4,5]=>0011
[-3,-2,1,4,-5]=>[3,-2,-1,4,-5]=>[3,2,1,4,5]=>0011
[-3,-2,1,-4,5]=>[3,-2,-1,-4,5]=>[3,2,1,4,5]=>0011
[-3,-2,1,-4,-5]=>[3,-2,-1,-4,-5]=>[3,2,1,4,5]=>0011
[-3,-2,-1,4,5]=>[-3,-2,-1,4,5]=>[3,2,1,4,5]=>0011
[-3,-2,-1,4,-5]=>[-3,-2,-1,4,-5]=>[3,2,1,4,5]=>0011
[-3,-2,-1,-4,5]=>[-3,-2,-1,-4,5]=>[3,2,1,4,5]=>0011
[-3,-2,-1,-4,-5]=>[-3,-2,-1,-4,-5]=>[3,2,1,4,5]=>0011
[3,2,1,5,4]=>[3,2,1,5,4]=>[3,2,1,5,4]=>0010
[3,2,1,5,-4]=>[3,2,1,-5,4]=>[3,2,1,5,4]=>0010
[3,2,1,-5,4]=>[3,2,1,5,-4]=>[3,2,1,5,4]=>0010
[3,2,1,-5,-4]=>[3,2,1,-5,-4]=>[3,2,1,5,4]=>0010
[3,2,-1,5,4]=>[-3,2,1,5,4]=>[3,2,1,5,4]=>0010
[3,2,-1,5,-4]=>[-3,2,1,-5,4]=>[3,2,1,5,4]=>0010
[3,2,-1,-5,4]=>[-3,2,1,5,-4]=>[3,2,1,5,4]=>0010
[3,2,-1,-5,-4]=>[-3,2,1,-5,-4]=>[3,2,1,5,4]=>0010
[3,-2,1,5,4]=>[3,-2,1,5,4]=>[3,2,1,5,4]=>0010
[3,-2,1,5,-4]=>[3,-2,1,-5,4]=>[3,2,1,5,4]=>0010
[3,-2,1,-5,4]=>[3,-2,1,5,-4]=>[3,2,1,5,4]=>0010
[3,-2,1,-5,-4]=>[3,-2,1,-5,-4]=>[3,2,1,5,4]=>0010
[3,-2,-1,5,4]=>[-3,-2,1,5,4]=>[3,2,1,5,4]=>0010
[3,-2,-1,5,-4]=>[-3,-2,1,-5,4]=>[3,2,1,5,4]=>0010
[3,-2,-1,-5,4]=>[-3,-2,1,5,-4]=>[3,2,1,5,4]=>0010
[3,-2,-1,-5,-4]=>[-3,-2,1,-5,-4]=>[3,2,1,5,4]=>0010
[-3,2,1,5,4]=>[3,2,-1,5,4]=>[3,2,1,5,4]=>0010
[-3,2,1,5,-4]=>[3,2,-1,-5,4]=>[3,2,1,5,4]=>0010
[-3,2,1,-5,4]=>[3,2,-1,5,-4]=>[3,2,1,5,4]=>0010
[-3,2,1,-5,-4]=>[3,2,-1,-5,-4]=>[3,2,1,5,4]=>0010
[-3,2,-1,5,4]=>[-3,2,-1,5,4]=>[3,2,1,5,4]=>0010
[-3,2,-1,5,-4]=>[-3,2,-1,-5,4]=>[3,2,1,5,4]=>0010
[-3,2,-1,-5,4]=>[-3,2,-1,5,-4]=>[3,2,1,5,4]=>0010
[-3,2,-1,-5,-4]=>[-3,2,-1,-5,-4]=>[3,2,1,5,4]=>0010
[-3,-2,1,5,4]=>[3,-2,-1,5,4]=>[3,2,1,5,4]=>0010
[-3,-2,1,5,-4]=>[3,-2,-1,-5,4]=>[3,2,1,5,4]=>0010
[-3,-2,1,-5,4]=>[3,-2,-1,5,-4]=>[3,2,1,5,4]=>0010
[-3,-2,1,-5,-4]=>[3,-2,-1,-5,-4]=>[3,2,1,5,4]=>0010
[-3,-2,-1,5,4]=>[-3,-2,-1,5,4]=>[3,2,1,5,4]=>0010
[-3,-2,-1,5,-4]=>[-3,-2,-1,-5,4]=>[3,2,1,5,4]=>0010
[-3,-2,-1,-5,4]=>[-3,-2,-1,5,-4]=>[3,2,1,5,4]=>0010
[-3,-2,-1,-5,-4]=>[-3,-2,-1,-5,-4]=>[3,2,1,5,4]=>0010
[3,2,4,1,5]=>[4,2,1,3,5]=>[4,2,1,3,5]=>0001
[3,2,4,1,-5]=>[4,2,1,3,-5]=>[4,2,1,3,5]=>0001
[3,2,4,-1,5]=>[-4,2,1,3,5]=>[4,2,1,3,5]=>0001
[3,2,4,-1,-5]=>[-4,2,1,3,-5]=>[4,2,1,3,5]=>0001
[3,2,-4,1,5]=>[4,2,1,-3,5]=>[4,2,1,3,5]=>0001
[3,2,-4,1,-5]=>[4,2,1,-3,-5]=>[4,2,1,3,5]=>0001
[3,2,-4,-1,5]=>[-4,2,1,-3,5]=>[4,2,1,3,5]=>0001
[3,2,-4,-1,-5]=>[-4,2,1,-3,-5]=>[4,2,1,3,5]=>0001
[3,-2,4,1,5]=>[4,-2,1,3,5]=>[4,2,1,3,5]=>0001
[3,-2,4,1,-5]=>[4,-2,1,3,-5]=>[4,2,1,3,5]=>0001
[3,-2,4,-1,5]=>[-4,-2,1,3,5]=>[4,2,1,3,5]=>0001
[3,-2,4,-1,-5]=>[-4,-2,1,3,-5]=>[4,2,1,3,5]=>0001
[3,-2,-4,1,5]=>[4,-2,1,-3,5]=>[4,2,1,3,5]=>0001
[3,-2,-4,1,-5]=>[4,-2,1,-3,-5]=>[4,2,1,3,5]=>0001
[3,-2,-4,-1,5]=>[-4,-2,1,-3,5]=>[4,2,1,3,5]=>0001
[3,-2,-4,-1,-5]=>[-4,-2,1,-3,-5]=>[4,2,1,3,5]=>0001
[-3,2,4,1,5]=>[4,2,-1,3,5]=>[4,2,1,3,5]=>0001
[-3,2,4,1,-5]=>[4,2,-1,3,-5]=>[4,2,1,3,5]=>0001
[-3,2,4,-1,5]=>[-4,2,-1,3,5]=>[4,2,1,3,5]=>0001
[-3,2,4,-1,-5]=>[-4,2,-1,3,-5]=>[4,2,1,3,5]=>0001
[-3,2,-4,1,5]=>[4,2,-1,-3,5]=>[4,2,1,3,5]=>0001
[-3,2,-4,1,-5]=>[4,2,-1,-3,-5]=>[4,2,1,3,5]=>0001
[-3,2,-4,-1,5]=>[-4,2,-1,-3,5]=>[4,2,1,3,5]=>0001
[-3,2,-4,-1,-5]=>[-4,2,-1,-3,-5]=>[4,2,1,3,5]=>0001
[-3,-2,4,1,5]=>[4,-2,-1,3,5]=>[4,2,1,3,5]=>0001
[-3,-2,4,1,-5]=>[4,-2,-1,3,-5]=>[4,2,1,3,5]=>0001
[-3,-2,4,-1,5]=>[-4,-2,-1,3,5]=>[4,2,1,3,5]=>0001
[-3,-2,4,-1,-5]=>[-4,-2,-1,3,-5]=>[4,2,1,3,5]=>0001
[-3,-2,-4,1,5]=>[4,-2,-1,-3,5]=>[4,2,1,3,5]=>0001
[-3,-2,-4,1,-5]=>[4,-2,-1,-3,-5]=>[4,2,1,3,5]=>0001
[-3,-2,-4,-1,5]=>[-4,-2,-1,-3,5]=>[4,2,1,3,5]=>0001
[-3,-2,-4,-1,-5]=>[-4,-2,-1,-3,-5]=>[4,2,1,3,5]=>0001
[3,2,4,5,1]=>[5,2,1,3,4]=>[5,2,1,3,4]=>0000
[3,2,4,5,-1]=>[-5,2,1,3,4]=>[5,2,1,3,4]=>0000
[3,2,4,-5,1]=>[5,2,1,3,-4]=>[5,2,1,3,4]=>0000
[3,2,4,-5,-1]=>[-5,2,1,3,-4]=>[5,2,1,3,4]=>0000
[3,2,-4,5,1]=>[5,2,1,-3,4]=>[5,2,1,3,4]=>0000
[3,2,-4,5,-1]=>[-5,2,1,-3,4]=>[5,2,1,3,4]=>0000
[3,2,-4,-5,1]=>[5,2,1,-3,-4]=>[5,2,1,3,4]=>0000
[3,2,-4,-5,-1]=>[-5,2,1,-3,-4]=>[5,2,1,3,4]=>0000
[3,-2,4,5,1]=>[5,-2,1,3,4]=>[5,2,1,3,4]=>0000
[3,-2,4,5,-1]=>[-5,-2,1,3,4]=>[5,2,1,3,4]=>0000
[3,-2,4,-5,1]=>[5,-2,1,3,-4]=>[5,2,1,3,4]=>0000
[3,-2,4,-5,-1]=>[-5,-2,1,3,-4]=>[5,2,1,3,4]=>0000
[3,-2,-4,5,1]=>[5,-2,1,-3,4]=>[5,2,1,3,4]=>0000
[3,-2,-4,5,-1]=>[-5,-2,1,-3,4]=>[5,2,1,3,4]=>0000
[3,-2,-4,-5,1]=>[5,-2,1,-3,-4]=>[5,2,1,3,4]=>0000
[3,-2,-4,-5,-1]=>[-5,-2,1,-3,-4]=>[5,2,1,3,4]=>0000
[-3,2,4,5,1]=>[5,2,-1,3,4]=>[5,2,1,3,4]=>0000
[-3,2,4,5,-1]=>[-5,2,-1,3,4]=>[5,2,1,3,4]=>0000
[-3,2,4,-5,1]=>[5,2,-1,3,-4]=>[5,2,1,3,4]=>0000
[-3,2,4,-5,-1]=>[-5,2,-1,3,-4]=>[5,2,1,3,4]=>0000
[-3,2,-4,5,1]=>[5,2,-1,-3,4]=>[5,2,1,3,4]=>0000
[-3,2,-4,5,-1]=>[-5,2,-1,-3,4]=>[5,2,1,3,4]=>0000
[-3,2,-4,-5,1]=>[5,2,-1,-3,-4]=>[5,2,1,3,4]=>0000
[-3,2,-4,-5,-1]=>[-5,2,-1,-3,-4]=>[5,2,1,3,4]=>0000
[-3,-2,4,5,1]=>[5,-2,-1,3,4]=>[5,2,1,3,4]=>0000
[-3,-2,4,5,-1]=>[-5,-2,-1,3,4]=>[5,2,1,3,4]=>0000
[-3,-2,4,-5,1]=>[5,-2,-1,3,-4]=>[5,2,1,3,4]=>0000
[-3,-2,4,-5,-1]=>[-5,-2,-1,3,-4]=>[5,2,1,3,4]=>0000
[-3,-2,-4,5,1]=>[5,-2,-1,-3,4]=>[5,2,1,3,4]=>0000
[-3,-2,-4,5,-1]=>[-5,-2,-1,-3,4]=>[5,2,1,3,4]=>0000
[-3,-2,-4,-5,1]=>[5,-2,-1,-3,-4]=>[5,2,1,3,4]=>0000
[-3,-2,-4,-5,-1]=>[-5,-2,-1,-3,-4]=>[5,2,1,3,4]=>0000
[3,2,5,1,4]=>[4,2,1,5,3]=>[4,2,1,5,3]=>0000
[3,2,5,1,-4]=>[4,2,1,-5,3]=>[4,2,1,5,3]=>0000
[3,2,5,-1,4]=>[-4,2,1,5,3]=>[4,2,1,5,3]=>0000
[3,2,5,-1,-4]=>[-4,2,1,-5,3]=>[4,2,1,5,3]=>0000
[3,2,-5,1,4]=>[4,2,1,5,-3]=>[4,2,1,5,3]=>0000
[3,2,-5,1,-4]=>[4,2,1,-5,-3]=>[4,2,1,5,3]=>0000
[3,2,-5,-1,4]=>[-4,2,1,5,-3]=>[4,2,1,5,3]=>0000
[3,2,-5,-1,-4]=>[-4,2,1,-5,-3]=>[4,2,1,5,3]=>0000
[3,-2,5,1,4]=>[4,-2,1,5,3]=>[4,2,1,5,3]=>0000
[3,-2,5,1,-4]=>[4,-2,1,-5,3]=>[4,2,1,5,3]=>0000
[3,-2,5,-1,4]=>[-4,-2,1,5,3]=>[4,2,1,5,3]=>0000
[3,-2,5,-1,-4]=>[-4,-2,1,-5,3]=>[4,2,1,5,3]=>0000
[3,-2,-5,1,4]=>[4,-2,1,5,-3]=>[4,2,1,5,3]=>0000
[3,-2,-5,1,-4]=>[4,-2,1,-5,-3]=>[4,2,1,5,3]=>0000
[3,-2,-5,-1,4]=>[-4,-2,1,5,-3]=>[4,2,1,5,3]=>0000
[3,-2,-5,-1,-4]=>[-4,-2,1,-5,-3]=>[4,2,1,5,3]=>0000
[-3,2,5,1,4]=>[4,2,-1,5,3]=>[4,2,1,5,3]=>0000
[-3,2,5,1,-4]=>[4,2,-1,-5,3]=>[4,2,1,5,3]=>0000
[-3,2,5,-1,4]=>[-4,2,-1,5,3]=>[4,2,1,5,3]=>0000
[-3,2,5,-1,-4]=>[-4,2,-1,-5,3]=>[4,2,1,5,3]=>0000
[-3,2,-5,1,4]=>[4,2,-1,5,-3]=>[4,2,1,5,3]=>0000
[-3,2,-5,1,-4]=>[4,2,-1,-5,-3]=>[4,2,1,5,3]=>0000
[-3,2,-5,-1,4]=>[-4,2,-1,5,-3]=>[4,2,1,5,3]=>0000
[-3,2,-5,-1,-4]=>[-4,2,-1,-5,-3]=>[4,2,1,5,3]=>0000
[-3,-2,5,1,4]=>[4,-2,-1,5,3]=>[4,2,1,5,3]=>0000
[-3,-2,5,1,-4]=>[4,-2,-1,-5,3]=>[4,2,1,5,3]=>0000
[-3,-2,5,-1,4]=>[-4,-2,-1,5,3]=>[4,2,1,5,3]=>0000
[-3,-2,5,-1,-4]=>[-4,-2,-1,-5,3]=>[4,2,1,5,3]=>0000
[-3,-2,-5,1,4]=>[4,-2,-1,5,-3]=>[4,2,1,5,3]=>0000
[-3,-2,-5,1,-4]=>[4,-2,-1,-5,-3]=>[4,2,1,5,3]=>0000
[-3,-2,-5,-1,4]=>[-4,-2,-1,5,-3]=>[4,2,1,5,3]=>0000
[-3,-2,-5,-1,-4]=>[-4,-2,-1,-5,-3]=>[4,2,1,5,3]=>0000
[3,2,5,4,1]=>[5,2,1,4,3]=>[5,2,1,4,3]=>0000
[3,2,5,4,-1]=>[-5,2,1,4,3]=>[5,2,1,4,3]=>0000
[3,2,5,-4,1]=>[5,2,1,-4,3]=>[5,2,1,4,3]=>0000
[3,2,5,-4,-1]=>[-5,2,1,-4,3]=>[5,2,1,4,3]=>0000
[3,2,-5,4,1]=>[5,2,1,4,-3]=>[5,2,1,4,3]=>0000
[3,2,-5,4,-1]=>[-5,2,1,4,-3]=>[5,2,1,4,3]=>0000
[3,2,-5,-4,1]=>[5,2,1,-4,-3]=>[5,2,1,4,3]=>0000
[3,2,-5,-4,-1]=>[-5,2,1,-4,-3]=>[5,2,1,4,3]=>0000
[3,-2,5,4,1]=>[5,-2,1,4,3]=>[5,2,1,4,3]=>0000
[3,-2,5,4,-1]=>[-5,-2,1,4,3]=>[5,2,1,4,3]=>0000
[3,-2,5,-4,1]=>[5,-2,1,-4,3]=>[5,2,1,4,3]=>0000
[3,-2,5,-4,-1]=>[-5,-2,1,-4,3]=>[5,2,1,4,3]=>0000
[3,-2,-5,4,1]=>[5,-2,1,4,-3]=>[5,2,1,4,3]=>0000
[3,-2,-5,4,-1]=>[-5,-2,1,4,-3]=>[5,2,1,4,3]=>0000
[3,-2,-5,-4,1]=>[5,-2,1,-4,-3]=>[5,2,1,4,3]=>0000
[3,-2,-5,-4,-1]=>[-5,-2,1,-4,-3]=>[5,2,1,4,3]=>0000
[-3,2,5,4,1]=>[5,2,-1,4,3]=>[5,2,1,4,3]=>0000
[-3,2,5,4,-1]=>[-5,2,-1,4,3]=>[5,2,1,4,3]=>0000
[-3,2,5,-4,1]=>[5,2,-1,-4,3]=>[5,2,1,4,3]=>0000
[-3,2,5,-4,-1]=>[-5,2,-1,-4,3]=>[5,2,1,4,3]=>0000
[-3,2,-5,4,1]=>[5,2,-1,4,-3]=>[5,2,1,4,3]=>0000
[-3,2,-5,4,-1]=>[-5,2,-1,4,-3]=>[5,2,1,4,3]=>0000
[-3,2,-5,-4,1]=>[5,2,-1,-4,-3]=>[5,2,1,4,3]=>0000
[-3,2,-5,-4,-1]=>[-5,2,-1,-4,-3]=>[5,2,1,4,3]=>0000
[-3,-2,5,4,1]=>[5,-2,-1,4,3]=>[5,2,1,4,3]=>0000
[-3,-2,5,4,-1]=>[-5,-2,-1,4,3]=>[5,2,1,4,3]=>0000
[-3,-2,5,-4,1]=>[5,-2,-1,-4,3]=>[5,2,1,4,3]=>0000
[-3,-2,5,-4,-1]=>[-5,-2,-1,-4,3]=>[5,2,1,4,3]=>0000
[-3,-2,-5,4,1]=>[5,-2,-1,4,-3]=>[5,2,1,4,3]=>0000
[-3,-2,-5,4,-1]=>[-5,-2,-1,4,-3]=>[5,2,1,4,3]=>0000
[-3,-2,-5,-4,1]=>[5,-2,-1,-4,-3]=>[5,2,1,4,3]=>0000
[-3,-2,-5,-4,-1]=>[-5,-2,-1,-4,-3]=>[5,2,1,4,3]=>0000
[3,4,1,2,5]=>[3,4,1,2,5]=>[3,4,1,2,5]=>0001
[3,4,1,2,-5]=>[3,4,1,2,-5]=>[3,4,1,2,5]=>0001
[3,4,1,-2,5]=>[3,-4,1,2,5]=>[3,4,1,2,5]=>0001
[3,4,1,-2,-5]=>[3,-4,1,2,-5]=>[3,4,1,2,5]=>0001
[3,4,-1,2,5]=>[-3,4,1,2,5]=>[3,4,1,2,5]=>0001
[3,4,-1,2,-5]=>[-3,4,1,2,-5]=>[3,4,1,2,5]=>0001
[3,4,-1,-2,5]=>[-3,-4,1,2,5]=>[3,4,1,2,5]=>0001
[3,4,-1,-2,-5]=>[-3,-4,1,2,-5]=>[3,4,1,2,5]=>0001
[3,-4,1,2,5]=>[3,4,1,-2,5]=>[3,4,1,2,5]=>0001
[3,-4,1,2,-5]=>[3,4,1,-2,-5]=>[3,4,1,2,5]=>0001
[3,-4,1,-2,5]=>[3,-4,1,-2,5]=>[3,4,1,2,5]=>0001
[3,-4,1,-2,-5]=>[3,-4,1,-2,-5]=>[3,4,1,2,5]=>0001
[3,-4,-1,2,5]=>[-3,4,1,-2,5]=>[3,4,1,2,5]=>0001
[3,-4,-1,2,-5]=>[-3,4,1,-2,-5]=>[3,4,1,2,5]=>0001
[3,-4,-1,-2,5]=>[-3,-4,1,-2,5]=>[3,4,1,2,5]=>0001
[3,-4,-1,-2,-5]=>[-3,-4,1,-2,-5]=>[3,4,1,2,5]=>0001
[-3,4,1,2,5]=>[3,4,-1,2,5]=>[3,4,1,2,5]=>0001
[-3,4,1,2,-5]=>[3,4,-1,2,-5]=>[3,4,1,2,5]=>0001
[-3,4,1,-2,5]=>[3,-4,-1,2,5]=>[3,4,1,2,5]=>0001
[-3,4,1,-2,-5]=>[3,-4,-1,2,-5]=>[3,4,1,2,5]=>0001
[-3,4,-1,2,5]=>[-3,4,-1,2,5]=>[3,4,1,2,5]=>0001
[-3,4,-1,2,-5]=>[-3,4,-1,2,-5]=>[3,4,1,2,5]=>0001
[-3,4,-1,-2,5]=>[-3,-4,-1,2,5]=>[3,4,1,2,5]=>0001
[-3,4,-1,-2,-5]=>[-3,-4,-1,2,-5]=>[3,4,1,2,5]=>0001
[-3,-4,1,2,5]=>[3,4,-1,-2,5]=>[3,4,1,2,5]=>0001
[-3,-4,1,2,-5]=>[3,4,-1,-2,-5]=>[3,4,1,2,5]=>0001
[-3,-4,1,-2,5]=>[3,-4,-1,-2,5]=>[3,4,1,2,5]=>0001
[-3,-4,1,-2,-5]=>[3,-4,-1,-2,-5]=>[3,4,1,2,5]=>0001
[-3,-4,-1,2,5]=>[-3,4,-1,-2,5]=>[3,4,1,2,5]=>0001
[-3,-4,-1,2,-5]=>[-3,4,-1,-2,-5]=>[3,4,1,2,5]=>0001
[-3,-4,-1,-2,5]=>[-3,-4,-1,-2,5]=>[3,4,1,2,5]=>0001
[-3,-4,-1,-2,-5]=>[-3,-4,-1,-2,-5]=>[3,4,1,2,5]=>0001
[3,4,1,5,2]=>[3,5,1,2,4]=>[3,5,1,2,4]=>0000
[3,4,1,5,-2]=>[3,-5,1,2,4]=>[3,5,1,2,4]=>0000
[3,4,1,-5,2]=>[3,5,1,2,-4]=>[3,5,1,2,4]=>0000
[3,4,1,-5,-2]=>[3,-5,1,2,-4]=>[3,5,1,2,4]=>0000
[3,4,-1,5,2]=>[-3,5,1,2,4]=>[3,5,1,2,4]=>0000
[3,4,-1,5,-2]=>[-3,-5,1,2,4]=>[3,5,1,2,4]=>0000
[3,4,-1,-5,2]=>[-3,5,1,2,-4]=>[3,5,1,2,4]=>0000
[3,4,-1,-5,-2]=>[-3,-5,1,2,-4]=>[3,5,1,2,4]=>0000
[3,-4,1,5,2]=>[3,5,1,-2,4]=>[3,5,1,2,4]=>0000
[3,-4,1,5,-2]=>[3,-5,1,-2,4]=>[3,5,1,2,4]=>0000
[3,-4,1,-5,2]=>[3,5,1,-2,-4]=>[3,5,1,2,4]=>0000
[3,-4,1,-5,-2]=>[3,-5,1,-2,-4]=>[3,5,1,2,4]=>0000
[3,-4,-1,5,2]=>[-3,5,1,-2,4]=>[3,5,1,2,4]=>0000
[3,-4,-1,5,-2]=>[-3,-5,1,-2,4]=>[3,5,1,2,4]=>0000
[3,-4,-1,-5,2]=>[-3,5,1,-2,-4]=>[3,5,1,2,4]=>0000
[3,-4,-1,-5,-2]=>[-3,-5,1,-2,-4]=>[3,5,1,2,4]=>0000
[-3,4,1,5,2]=>[3,5,-1,2,4]=>[3,5,1,2,4]=>0000
[-3,4,1,5,-2]=>[3,-5,-1,2,4]=>[3,5,1,2,4]=>0000
[-3,4,1,-5,2]=>[3,5,-1,2,-4]=>[3,5,1,2,4]=>0000
[-3,4,1,-5,-2]=>[3,-5,-1,2,-4]=>[3,5,1,2,4]=>0000
[-3,4,-1,5,2]=>[-3,5,-1,2,4]=>[3,5,1,2,4]=>0000
[-3,4,-1,5,-2]=>[-3,-5,-1,2,4]=>[3,5,1,2,4]=>0000
[-3,4,-1,-5,2]=>[-3,5,-1,2,-4]=>[3,5,1,2,4]=>0000
[-3,4,-1,-5,-2]=>[-3,-5,-1,2,-4]=>[3,5,1,2,4]=>0000
[-3,-4,1,5,2]=>[3,5,-1,-2,4]=>[3,5,1,2,4]=>0000
[-3,-4,1,5,-2]=>[3,-5,-1,-2,4]=>[3,5,1,2,4]=>0000
[-3,-4,1,-5,2]=>[3,5,-1,-2,-4]=>[3,5,1,2,4]=>0000
[-3,-4,1,-5,-2]=>[3,-5,-1,-2,-4]=>[3,5,1,2,4]=>0000
[-3,-4,-1,5,2]=>[-3,5,-1,-2,4]=>[3,5,1,2,4]=>0000
[-3,-4,-1,5,-2]=>[-3,-5,-1,-2,4]=>[3,5,1,2,4]=>0000
[-3,-4,-1,-5,2]=>[-3,5,-1,-2,-4]=>[3,5,1,2,4]=>0000
[-3,-4,-1,-5,-2]=>[-3,-5,-1,-2,-4]=>[3,5,1,2,4]=>0000
[3,4,2,1,5]=>[4,3,1,2,5]=>[4,3,1,2,5]=>0001
[3,4,2,1,-5]=>[4,3,1,2,-5]=>[4,3,1,2,5]=>0001
[3,4,2,-1,5]=>[-4,3,1,2,5]=>[4,3,1,2,5]=>0001
[3,4,2,-1,-5]=>[-4,3,1,2,-5]=>[4,3,1,2,5]=>0001
[3,4,-2,1,5]=>[4,-3,1,2,5]=>[4,3,1,2,5]=>0001
[3,4,-2,1,-5]=>[4,-3,1,2,-5]=>[4,3,1,2,5]=>0001
[3,4,-2,-1,5]=>[-4,-3,1,2,5]=>[4,3,1,2,5]=>0001
[3,4,-2,-1,-5]=>[-4,-3,1,2,-5]=>[4,3,1,2,5]=>0001
[3,-4,2,1,5]=>[4,3,1,-2,5]=>[4,3,1,2,5]=>0001
[3,-4,2,1,-5]=>[4,3,1,-2,-5]=>[4,3,1,2,5]=>0001
[3,-4,2,-1,5]=>[-4,3,1,-2,5]=>[4,3,1,2,5]=>0001
[3,-4,2,-1,-5]=>[-4,3,1,-2,-5]=>[4,3,1,2,5]=>0001
[3,-4,-2,1,5]=>[4,-3,1,-2,5]=>[4,3,1,2,5]=>0001
[3,-4,-2,1,-5]=>[4,-3,1,-2,-5]=>[4,3,1,2,5]=>0001
[3,-4,-2,-1,5]=>[-4,-3,1,-2,5]=>[4,3,1,2,5]=>0001
[3,-4,-2,-1,-5]=>[-4,-3,1,-2,-5]=>[4,3,1,2,5]=>0001
[-3,4,2,1,5]=>[4,3,-1,2,5]=>[4,3,1,2,5]=>0001
[-3,4,2,1,-5]=>[4,3,-1,2,-5]=>[4,3,1,2,5]=>0001
[-3,4,2,-1,5]=>[-4,3,-1,2,5]=>[4,3,1,2,5]=>0001
[-3,4,2,-1,-5]=>[-4,3,-1,2,-5]=>[4,3,1,2,5]=>0001
[-3,4,-2,1,5]=>[4,-3,-1,2,5]=>[4,3,1,2,5]=>0001
[-3,4,-2,1,-5]=>[4,-3,-1,2,-5]=>[4,3,1,2,5]=>0001
[-3,4,-2,-1,5]=>[-4,-3,-1,2,5]=>[4,3,1,2,5]=>0001
[-3,4,-2,-1,-5]=>[-4,-3,-1,2,-5]=>[4,3,1,2,5]=>0001
[-3,-4,2,1,5]=>[4,3,-1,-2,5]=>[4,3,1,2,5]=>0001
[-3,-4,2,1,-5]=>[4,3,-1,-2,-5]=>[4,3,1,2,5]=>0001
[-3,-4,2,-1,5]=>[-4,3,-1,-2,5]=>[4,3,1,2,5]=>0001
[-3,-4,2,-1,-5]=>[-4,3,-1,-2,-5]=>[4,3,1,2,5]=>0001
[-3,-4,-2,1,5]=>[4,-3,-1,-2,5]=>[4,3,1,2,5]=>0001
[-3,-4,-2,1,-5]=>[4,-3,-1,-2,-5]=>[4,3,1,2,5]=>0001
[-3,-4,-2,-1,5]=>[-4,-3,-1,-2,5]=>[4,3,1,2,5]=>0001
[-3,-4,-2,-1,-5]=>[-4,-3,-1,-2,-5]=>[4,3,1,2,5]=>0001
[3,4,2,5,1]=>[5,3,1,2,4]=>[5,3,1,2,4]=>0000
[3,4,2,5,-1]=>[-5,3,1,2,4]=>[5,3,1,2,4]=>0000
[3,4,2,-5,1]=>[5,3,1,2,-4]=>[5,3,1,2,4]=>0000
[3,4,2,-5,-1]=>[-5,3,1,2,-4]=>[5,3,1,2,4]=>0000
[3,4,-2,5,1]=>[5,-3,1,2,4]=>[5,3,1,2,4]=>0000
[3,4,-2,5,-1]=>[-5,-3,1,2,4]=>[5,3,1,2,4]=>0000
[3,4,-2,-5,1]=>[5,-3,1,2,-4]=>[5,3,1,2,4]=>0000
[3,4,-2,-5,-1]=>[-5,-3,1,2,-4]=>[5,3,1,2,4]=>0000
[3,-4,2,5,1]=>[5,3,1,-2,4]=>[5,3,1,2,4]=>0000
[3,-4,2,5,-1]=>[-5,3,1,-2,4]=>[5,3,1,2,4]=>0000
[3,-4,2,-5,1]=>[5,3,1,-2,-4]=>[5,3,1,2,4]=>0000
[3,-4,2,-5,-1]=>[-5,3,1,-2,-4]=>[5,3,1,2,4]=>0000
[3,-4,-2,5,1]=>[5,-3,1,-2,4]=>[5,3,1,2,4]=>0000
[3,-4,-2,5,-1]=>[-5,-3,1,-2,4]=>[5,3,1,2,4]=>0000
[3,-4,-2,-5,1]=>[5,-3,1,-2,-4]=>[5,3,1,2,4]=>0000
[3,-4,-2,-5,-1]=>[-5,-3,1,-2,-4]=>[5,3,1,2,4]=>0000
[-3,4,2,5,1]=>[5,3,-1,2,4]=>[5,3,1,2,4]=>0000
[-3,4,2,5,-1]=>[-5,3,-1,2,4]=>[5,3,1,2,4]=>0000
[-3,4,2,-5,1]=>[5,3,-1,2,-4]=>[5,3,1,2,4]=>0000
[-3,4,2,-5,-1]=>[-5,3,-1,2,-4]=>[5,3,1,2,4]=>0000
[-3,4,-2,5,1]=>[5,-3,-1,2,4]=>[5,3,1,2,4]=>0000
[-3,4,-2,5,-1]=>[-5,-3,-1,2,4]=>[5,3,1,2,4]=>0000
[-3,4,-2,-5,1]=>[5,-3,-1,2,-4]=>[5,3,1,2,4]=>0000
[-3,4,-2,-5,-1]=>[-5,-3,-1,2,-4]=>[5,3,1,2,4]=>0000
[-3,-4,2,5,1]=>[5,3,-1,-2,4]=>[5,3,1,2,4]=>0000
[-3,-4,2,5,-1]=>[-5,3,-1,-2,4]=>[5,3,1,2,4]=>0000
[-3,-4,2,-5,1]=>[5,3,-1,-2,-4]=>[5,3,1,2,4]=>0000
[-3,-4,2,-5,-1]=>[-5,3,-1,-2,-4]=>[5,3,1,2,4]=>0000
[-3,-4,-2,5,1]=>[5,-3,-1,-2,4]=>[5,3,1,2,4]=>0000
[-3,-4,-2,5,-1]=>[-5,-3,-1,-2,4]=>[5,3,1,2,4]=>0000
[-3,-4,-2,-5,1]=>[5,-3,-1,-2,-4]=>[5,3,1,2,4]=>0000
[-3,-4,-2,-5,-1]=>[-5,-3,-1,-2,-4]=>[5,3,1,2,4]=>0000
[3,4,5,1,2]=>[4,5,1,2,3]=>[4,5,1,2,3]=>0000
[3,4,5,1,-2]=>[4,-5,1,2,3]=>[4,5,1,2,3]=>0000
[3,4,5,-1,2]=>[-4,5,1,2,3]=>[4,5,1,2,3]=>0000
[3,4,5,-1,-2]=>[-4,-5,1,2,3]=>[4,5,1,2,3]=>0000
[3,4,-5,1,2]=>[4,5,1,2,-3]=>[4,5,1,2,3]=>0000
[3,4,-5,1,-2]=>[4,-5,1,2,-3]=>[4,5,1,2,3]=>0000
[3,4,-5,-1,2]=>[-4,5,1,2,-3]=>[4,5,1,2,3]=>0000
[3,4,-5,-1,-2]=>[-4,-5,1,2,-3]=>[4,5,1,2,3]=>0000
[3,-4,5,1,2]=>[4,5,1,-2,3]=>[4,5,1,2,3]=>0000
[3,-4,5,1,-2]=>[4,-5,1,-2,3]=>[4,5,1,2,3]=>0000
[3,-4,5,-1,2]=>[-4,5,1,-2,3]=>[4,5,1,2,3]=>0000
[3,-4,5,-1,-2]=>[-4,-5,1,-2,3]=>[4,5,1,2,3]=>0000
[3,-4,-5,1,2]=>[4,5,1,-2,-3]=>[4,5,1,2,3]=>0000
[3,-4,-5,1,-2]=>[4,-5,1,-2,-3]=>[4,5,1,2,3]=>0000
[3,-4,-5,-1,2]=>[-4,5,1,-2,-3]=>[4,5,1,2,3]=>0000
[3,-4,-5,-1,-2]=>[-4,-5,1,-2,-3]=>[4,5,1,2,3]=>0000
[-3,4,5,1,2]=>[4,5,-1,2,3]=>[4,5,1,2,3]=>0000
[-3,4,5,1,-2]=>[4,-5,-1,2,3]=>[4,5,1,2,3]=>0000
[-3,4,5,-1,2]=>[-4,5,-1,2,3]=>[4,5,1,2,3]=>0000
[-3,4,5,-1,-2]=>[-4,-5,-1,2,3]=>[4,5,1,2,3]=>0000
[-3,4,-5,1,2]=>[4,5,-1,2,-3]=>[4,5,1,2,3]=>0000
[-3,4,-5,1,-2]=>[4,-5,-1,2,-3]=>[4,5,1,2,3]=>0000
[-3,4,-5,-1,2]=>[-4,5,-1,2,-3]=>[4,5,1,2,3]=>0000
[-3,4,-5,-1,-2]=>[-4,-5,-1,2,-3]=>[4,5,1,2,3]=>0000
[-3,-4,5,1,2]=>[4,5,-1,-2,3]=>[4,5,1,2,3]=>0000
[-3,-4,5,1,-2]=>[4,-5,-1,-2,3]=>[4,5,1,2,3]=>0000
[-3,-4,5,-1,2]=>[-4,5,-1,-2,3]=>[4,5,1,2,3]=>0000
[-3,-4,5,-1,-2]=>[-4,-5,-1,-2,3]=>[4,5,1,2,3]=>0000
[-3,-4,-5,1,2]=>[4,5,-1,-2,-3]=>[4,5,1,2,3]=>0000
[-3,-4,-5,1,-2]=>[4,-5,-1,-2,-3]=>[4,5,1,2,3]=>0000
[-3,-4,-5,-1,2]=>[-4,5,-1,-2,-3]=>[4,5,1,2,3]=>0000
[-3,-4,-5,-1,-2]=>[-4,-5,-1,-2,-3]=>[4,5,1,2,3]=>0000
[3,4,5,2,1]=>[5,4,1,2,3]=>[5,4,1,2,3]=>0000
[3,4,5,2,-1]=>[-5,4,1,2,3]=>[5,4,1,2,3]=>0000
[3,4,5,-2,1]=>[5,-4,1,2,3]=>[5,4,1,2,3]=>0000
[3,4,5,-2,-1]=>[-5,-4,1,2,3]=>[5,4,1,2,3]=>0000
[3,4,-5,2,1]=>[5,4,1,2,-3]=>[5,4,1,2,3]=>0000
[3,4,-5,2,-1]=>[-5,4,1,2,-3]=>[5,4,1,2,3]=>0000
[3,4,-5,-2,1]=>[5,-4,1,2,-3]=>[5,4,1,2,3]=>0000
[3,4,-5,-2,-1]=>[-5,-4,1,2,-3]=>[5,4,1,2,3]=>0000
[3,-4,5,2,1]=>[5,4,1,-2,3]=>[5,4,1,2,3]=>0000
[3,-4,5,2,-1]=>[-5,4,1,-2,3]=>[5,4,1,2,3]=>0000
[3,-4,5,-2,1]=>[5,-4,1,-2,3]=>[5,4,1,2,3]=>0000
[3,-4,5,-2,-1]=>[-5,-4,1,-2,3]=>[5,4,1,2,3]=>0000
[3,-4,-5,2,1]=>[5,4,1,-2,-3]=>[5,4,1,2,3]=>0000
[3,-4,-5,2,-1]=>[-5,4,1,-2,-3]=>[5,4,1,2,3]=>0000
[3,-4,-5,-2,1]=>[5,-4,1,-2,-3]=>[5,4,1,2,3]=>0000
[3,-4,-5,-2,-1]=>[-5,-4,1,-2,-3]=>[5,4,1,2,3]=>0000
[-3,4,5,2,1]=>[5,4,-1,2,3]=>[5,4,1,2,3]=>0000
[-3,4,5,2,-1]=>[-5,4,-1,2,3]=>[5,4,1,2,3]=>0000
[-3,4,5,-2,1]=>[5,-4,-1,2,3]=>[5,4,1,2,3]=>0000
[-3,4,5,-2,-1]=>[-5,-4,-1,2,3]=>[5,4,1,2,3]=>0000
[-3,4,-5,2,1]=>[5,4,-1,2,-3]=>[5,4,1,2,3]=>0000
[-3,4,-5,2,-1]=>[-5,4,-1,2,-3]=>[5,4,1,2,3]=>0000
[-3,4,-5,-2,1]=>[5,-4,-1,2,-3]=>[5,4,1,2,3]=>0000
[-3,4,-5,-2,-1]=>[-5,-4,-1,2,-3]=>[5,4,1,2,3]=>0000
[-3,-4,5,2,1]=>[5,4,-1,-2,3]=>[5,4,1,2,3]=>0000
[-3,-4,5,2,-1]=>[-5,4,-1,-2,3]=>[5,4,1,2,3]=>0000
[-3,-4,5,-2,1]=>[5,-4,-1,-2,3]=>[5,4,1,2,3]=>0000
[-3,-4,5,-2,-1]=>[-5,-4,-1,-2,3]=>[5,4,1,2,3]=>0000
[-3,-4,-5,2,1]=>[5,4,-1,-2,-3]=>[5,4,1,2,3]=>0000
[-3,-4,-5,2,-1]=>[-5,4,-1,-2,-3]=>[5,4,1,2,3]=>0000
[-3,-4,-5,-2,1]=>[5,-4,-1,-2,-3]=>[5,4,1,2,3]=>0000
[-3,-4,-5,-2,-1]=>[-5,-4,-1,-2,-3]=>[5,4,1,2,3]=>0000
[3,5,1,2,4]=>[3,4,1,5,2]=>[3,4,1,5,2]=>0000
[3,5,1,2,-4]=>[3,4,1,-5,2]=>[3,4,1,5,2]=>0000
[3,5,1,-2,4]=>[3,-4,1,5,2]=>[3,4,1,5,2]=>0000
[3,5,1,-2,-4]=>[3,-4,1,-5,2]=>[3,4,1,5,2]=>0000
[3,5,-1,2,4]=>[-3,4,1,5,2]=>[3,4,1,5,2]=>0000
[3,5,-1,2,-4]=>[-3,4,1,-5,2]=>[3,4,1,5,2]=>0000
[3,5,-1,-2,4]=>[-3,-4,1,5,2]=>[3,4,1,5,2]=>0000
[3,5,-1,-2,-4]=>[-3,-4,1,-5,2]=>[3,4,1,5,2]=>0000
[3,-5,1,2,4]=>[3,4,1,5,-2]=>[3,4,1,5,2]=>0000
[3,-5,1,2,-4]=>[3,4,1,-5,-2]=>[3,4,1,5,2]=>0000
[3,-5,1,-2,4]=>[3,-4,1,5,-2]=>[3,4,1,5,2]=>0000
[3,-5,1,-2,-4]=>[3,-4,1,-5,-2]=>[3,4,1,5,2]=>0000
[3,-5,-1,2,4]=>[-3,4,1,5,-2]=>[3,4,1,5,2]=>0000
[3,-5,-1,2,-4]=>[-3,4,1,-5,-2]=>[3,4,1,5,2]=>0000
[3,-5,-1,-2,4]=>[-3,-4,1,5,-2]=>[3,4,1,5,2]=>0000
[3,-5,-1,-2,-4]=>[-3,-4,1,-5,-2]=>[3,4,1,5,2]=>0000
[-3,5,1,2,4]=>[3,4,-1,5,2]=>[3,4,1,5,2]=>0000
[-3,5,1,2,-4]=>[3,4,-1,-5,2]=>[3,4,1,5,2]=>0000
[-3,5,1,-2,4]=>[3,-4,-1,5,2]=>[3,4,1,5,2]=>0000
[-3,5,1,-2,-4]=>[3,-4,-1,-5,2]=>[3,4,1,5,2]=>0000
[-3,5,-1,2,4]=>[-3,4,-1,5,2]=>[3,4,1,5,2]=>0000
[-3,5,-1,2,-4]=>[-3,4,-1,-5,2]=>[3,4,1,5,2]=>0000
[-3,5,-1,-2,4]=>[-3,-4,-1,5,2]=>[3,4,1,5,2]=>0000
[-3,5,-1,-2,-4]=>[-3,-4,-1,-5,2]=>[3,4,1,5,2]=>0000
[-3,-5,1,2,4]=>[3,4,-1,5,-2]=>[3,4,1,5,2]=>0000
[-3,-5,1,2,-4]=>[3,4,-1,-5,-2]=>[3,4,1,5,2]=>0000
[-3,-5,1,-2,4]=>[3,-4,-1,5,-2]=>[3,4,1,5,2]=>0000
[-3,-5,1,-2,-4]=>[3,-4,-1,-5,-2]=>[3,4,1,5,2]=>0000
[-3,-5,-1,2,4]=>[-3,4,-1,5,-2]=>[3,4,1,5,2]=>0000
[-3,-5,-1,2,-4]=>[-3,4,-1,-5,-2]=>[3,4,1,5,2]=>0000
[-3,-5,-1,-2,4]=>[-3,-4,-1,5,-2]=>[3,4,1,5,2]=>0000
[-3,-5,-1,-2,-4]=>[-3,-4,-1,-5,-2]=>[3,4,1,5,2]=>0000
[3,5,1,4,2]=>[3,5,1,4,2]=>[3,5,1,4,2]=>0000
[3,5,1,4,-2]=>[3,-5,1,4,2]=>[3,5,1,4,2]=>0000
[3,5,1,-4,2]=>[3,5,1,-4,2]=>[3,5,1,4,2]=>0000
[3,5,1,-4,-2]=>[3,-5,1,-4,2]=>[3,5,1,4,2]=>0000
[3,5,-1,4,2]=>[-3,5,1,4,2]=>[3,5,1,4,2]=>0000
[3,5,-1,4,-2]=>[-3,-5,1,4,2]=>[3,5,1,4,2]=>0000
[3,5,-1,-4,2]=>[-3,5,1,-4,2]=>[3,5,1,4,2]=>0000
[3,5,-1,-4,-2]=>[-3,-5,1,-4,2]=>[3,5,1,4,2]=>0000
[3,-5,1,4,2]=>[3,5,1,4,-2]=>[3,5,1,4,2]=>0000
[3,-5,1,4,-2]=>[3,-5,1,4,-2]=>[3,5,1,4,2]=>0000
[3,-5,1,-4,2]=>[3,5,1,-4,-2]=>[3,5,1,4,2]=>0000
[3,-5,1,-4,-2]=>[3,-5,1,-4,-2]=>[3,5,1,4,2]=>0000
[3,-5,-1,4,2]=>[-3,5,1,4,-2]=>[3,5,1,4,2]=>0000
[3,-5,-1,4,-2]=>[-3,-5,1,4,-2]=>[3,5,1,4,2]=>0000
[3,-5,-1,-4,2]=>[-3,5,1,-4,-2]=>[3,5,1,4,2]=>0000
[3,-5,-1,-4,-2]=>[-3,-5,1,-4,-2]=>[3,5,1,4,2]=>0000
[-3,5,1,4,2]=>[3,5,-1,4,2]=>[3,5,1,4,2]=>0000
[-3,5,1,4,-2]=>[3,-5,-1,4,2]=>[3,5,1,4,2]=>0000
[-3,5,1,-4,2]=>[3,5,-1,-4,2]=>[3,5,1,4,2]=>0000
[-3,5,1,-4,-2]=>[3,-5,-1,-4,2]=>[3,5,1,4,2]=>0000
[-3,5,-1,4,2]=>[-3,5,-1,4,2]=>[3,5,1,4,2]=>0000
[-3,5,-1,4,-2]=>[-3,-5,-1,4,2]=>[3,5,1,4,2]=>0000
[-3,5,-1,-4,2]=>[-3,5,-1,-4,2]=>[3,5,1,4,2]=>0000
[-3,5,-1,-4,-2]=>[-3,-5,-1,-4,2]=>[3,5,1,4,2]=>0000
[-3,-5,1,4,2]=>[3,5,-1,4,-2]=>[3,5,1,4,2]=>0000
[-3,-5,1,4,-2]=>[3,-5,-1,4,-2]=>[3,5,1,4,2]=>0000
[-3,-5,1,-4,2]=>[3,5,-1,-4,-2]=>[3,5,1,4,2]=>0000
[-3,-5,1,-4,-2]=>[3,-5,-1,-4,-2]=>[3,5,1,4,2]=>0000
[-3,-5,-1,4,2]=>[-3,5,-1,4,-2]=>[3,5,1,4,2]=>0000
[-3,-5,-1,4,-2]=>[-3,-5,-1,4,-2]=>[3,5,1,4,2]=>0000
[-3,-5,-1,-4,2]=>[-3,5,-1,-4,-2]=>[3,5,1,4,2]=>0000
[-3,-5,-1,-4,-2]=>[-3,-5,-1,-4,-2]=>[3,5,1,4,2]=>0000
[3,5,2,1,4]=>[4,3,1,5,2]=>[4,3,1,5,2]=>0000
[3,5,2,1,-4]=>[4,3,1,-5,2]=>[4,3,1,5,2]=>0000
[3,5,2,-1,4]=>[-4,3,1,5,2]=>[4,3,1,5,2]=>0000
[3,5,2,-1,-4]=>[-4,3,1,-5,2]=>[4,3,1,5,2]=>0000
[3,5,-2,1,4]=>[4,-3,1,5,2]=>[4,3,1,5,2]=>0000
[3,5,-2,1,-4]=>[4,-3,1,-5,2]=>[4,3,1,5,2]=>0000
[3,5,-2,-1,4]=>[-4,-3,1,5,2]=>[4,3,1,5,2]=>0000
[3,5,-2,-1,-4]=>[-4,-3,1,-5,2]=>[4,3,1,5,2]=>0000
[3,-5,2,1,4]=>[4,3,1,5,-2]=>[4,3,1,5,2]=>0000
[3,-5,2,1,-4]=>[4,3,1,-5,-2]=>[4,3,1,5,2]=>0000
[3,-5,2,-1,4]=>[-4,3,1,5,-2]=>[4,3,1,5,2]=>0000
[3,-5,2,-1,-4]=>[-4,3,1,-5,-2]=>[4,3,1,5,2]=>0000
[3,-5,-2,1,4]=>[4,-3,1,5,-2]=>[4,3,1,5,2]=>0000
[3,-5,-2,1,-4]=>[4,-3,1,-5,-2]=>[4,3,1,5,2]=>0000
[3,-5,-2,-1,4]=>[-4,-3,1,5,-2]=>[4,3,1,5,2]=>0000
[3,-5,-2,-1,-4]=>[-4,-3,1,-5,-2]=>[4,3,1,5,2]=>0000
[-3,5,2,1,4]=>[4,3,-1,5,2]=>[4,3,1,5,2]=>0000
[-3,5,2,1,-4]=>[4,3,-1,-5,2]=>[4,3,1,5,2]=>0000
[-3,5,2,-1,4]=>[-4,3,-1,5,2]=>[4,3,1,5,2]=>0000
[-3,5,2,-1,-4]=>[-4,3,-1,-5,2]=>[4,3,1,5,2]=>0000
[-3,5,-2,1,4]=>[4,-3,-1,5,2]=>[4,3,1,5,2]=>0000
[-3,5,-2,1,-4]=>[4,-3,-1,-5,2]=>[4,3,1,5,2]=>0000
[-3,5,-2,-1,4]=>[-4,-3,-1,5,2]=>[4,3,1,5,2]=>0000
[-3,5,-2,-1,-4]=>[-4,-3,-1,-5,2]=>[4,3,1,5,2]=>0000
[-3,-5,2,1,4]=>[4,3,-1,5,-2]=>[4,3,1,5,2]=>0000
[-3,-5,2,1,-4]=>[4,3,-1,-5,-2]=>[4,3,1,5,2]=>0000
[-3,-5,2,-1,4]=>[-4,3,-1,5,-2]=>[4,3,1,5,2]=>0000
[-3,-5,2,-1,-4]=>[-4,3,-1,-5,-2]=>[4,3,1,5,2]=>0000
[-3,-5,-2,1,4]=>[4,-3,-1,5,-2]=>[4,3,1,5,2]=>0000
[-3,-5,-2,1,-4]=>[4,-3,-1,-5,-2]=>[4,3,1,5,2]=>0000
[-3,-5,-2,-1,4]=>[-4,-3,-1,5,-2]=>[4,3,1,5,2]=>0000
[-3,-5,-2,-1,-4]=>[-4,-3,-1,-5,-2]=>[4,3,1,5,2]=>0000
[3,5,2,4,1]=>[5,3,1,4,2]=>[5,3,1,4,2]=>0000
[3,5,2,4,-1]=>[-5,3,1,4,2]=>[5,3,1,4,2]=>0000
[3,5,2,-4,1]=>[5,3,1,-4,2]=>[5,3,1,4,2]=>0000
[3,5,2,-4,-1]=>[-5,3,1,-4,2]=>[5,3,1,4,2]=>0000
[3,5,-2,4,1]=>[5,-3,1,4,2]=>[5,3,1,4,2]=>0000
[3,5,-2,4,-1]=>[-5,-3,1,4,2]=>[5,3,1,4,2]=>0000
[3,5,-2,-4,1]=>[5,-3,1,-4,2]=>[5,3,1,4,2]=>0000
[3,5,-2,-4,-1]=>[-5,-3,1,-4,2]=>[5,3,1,4,2]=>0000
[3,-5,2,4,1]=>[5,3,1,4,-2]=>[5,3,1,4,2]=>0000
[3,-5,2,4,-1]=>[-5,3,1,4,-2]=>[5,3,1,4,2]=>0000
[3,-5,2,-4,1]=>[5,3,1,-4,-2]=>[5,3,1,4,2]=>0000
[3,-5,2,-4,-1]=>[-5,3,1,-4,-2]=>[5,3,1,4,2]=>0000
[3,-5,-2,4,1]=>[5,-3,1,4,-2]=>[5,3,1,4,2]=>0000
[3,-5,-2,4,-1]=>[-5,-3,1,4,-2]=>[5,3,1,4,2]=>0000
[3,-5,-2,-4,1]=>[5,-3,1,-4,-2]=>[5,3,1,4,2]=>0000
[3,-5,-2,-4,-1]=>[-5,-3,1,-4,-2]=>[5,3,1,4,2]=>0000
[-3,5,2,4,1]=>[5,3,-1,4,2]=>[5,3,1,4,2]=>0000
[-3,5,2,4,-1]=>[-5,3,-1,4,2]=>[5,3,1,4,2]=>0000
[-3,5,2,-4,1]=>[5,3,-1,-4,2]=>[5,3,1,4,2]=>0000
[-3,5,2,-4,-1]=>[-5,3,-1,-4,2]=>[5,3,1,4,2]=>0000
[-3,5,-2,4,1]=>[5,-3,-1,4,2]=>[5,3,1,4,2]=>0000
[-3,5,-2,4,-1]=>[-5,-3,-1,4,2]=>[5,3,1,4,2]=>0000
[-3,5,-2,-4,1]=>[5,-3,-1,-4,2]=>[5,3,1,4,2]=>0000
[-3,5,-2,-4,-1]=>[-5,-3,-1,-4,2]=>[5,3,1,4,2]=>0000
[-3,-5,2,4,1]=>[5,3,-1,4,-2]=>[5,3,1,4,2]=>0000
[-3,-5,2,4,-1]=>[-5,3,-1,4,-2]=>[5,3,1,4,2]=>0000
[-3,-5,2,-4,1]=>[5,3,-1,-4,-2]=>[5,3,1,4,2]=>0000
[-3,-5,2,-4,-1]=>[-5,3,-1,-4,-2]=>[5,3,1,4,2]=>0000
[-3,-5,-2,4,1]=>[5,-3,-1,4,-2]=>[5,3,1,4,2]=>0000
[-3,-5,-2,4,-1]=>[-5,-3,-1,4,-2]=>[5,3,1,4,2]=>0000
[-3,-5,-2,-4,1]=>[5,-3,-1,-4,-2]=>[5,3,1,4,2]=>0000
[-3,-5,-2,-4,-1]=>[-5,-3,-1,-4,-2]=>[5,3,1,4,2]=>0000
[3,5,4,1,2]=>[4,5,1,3,2]=>[4,5,1,3,2]=>0000
[3,5,4,1,-2]=>[4,-5,1,3,2]=>[4,5,1,3,2]=>0000
[3,5,4,-1,2]=>[-4,5,1,3,2]=>[4,5,1,3,2]=>0000
[3,5,4,-1,-2]=>[-4,-5,1,3,2]=>[4,5,1,3,2]=>0000
[3,5,-4,1,2]=>[4,5,1,-3,2]=>[4,5,1,3,2]=>0000
[3,5,-4,1,-2]=>[4,-5,1,-3,2]=>[4,5,1,3,2]=>0000
[3,5,-4,-1,2]=>[-4,5,1,-3,2]=>[4,5,1,3,2]=>0000
[3,5,-4,-1,-2]=>[-4,-5,1,-3,2]=>[4,5,1,3,2]=>0000
[3,-5,4,1,2]=>[4,5,1,3,-2]=>[4,5,1,3,2]=>0000
[3,-5,4,1,-2]=>[4,-5,1,3,-2]=>[4,5,1,3,2]=>0000
[3,-5,4,-1,2]=>[-4,5,1,3,-2]=>[4,5,1,3,2]=>0000
[3,-5,4,-1,-2]=>[-4,-5,1,3,-2]=>[4,5,1,3,2]=>0000
[3,-5,-4,1,2]=>[4,5,1,-3,-2]=>[4,5,1,3,2]=>0000
[3,-5,-4,1,-2]=>[4,-5,1,-3,-2]=>[4,5,1,3,2]=>0000
[3,-5,-4,-1,2]=>[-4,5,1,-3,-2]=>[4,5,1,3,2]=>0000
[3,-5,-4,-1,-2]=>[-4,-5,1,-3,-2]=>[4,5,1,3,2]=>0000
[-3,5,4,1,2]=>[4,5,-1,3,2]=>[4,5,1,3,2]=>0000
[-3,5,4,1,-2]=>[4,-5,-1,3,2]=>[4,5,1,3,2]=>0000
[-3,5,4,-1,2]=>[-4,5,-1,3,2]=>[4,5,1,3,2]=>0000
[-3,5,4,-1,-2]=>[-4,-5,-1,3,2]=>[4,5,1,3,2]=>0000
[-3,5,-4,1,2]=>[4,5,-1,-3,2]=>[4,5,1,3,2]=>0000
[-3,5,-4,1,-2]=>[4,-5,-1,-3,2]=>[4,5,1,3,2]=>0000
[-3,5,-4,-1,2]=>[-4,5,-1,-3,2]=>[4,5,1,3,2]=>0000
[-3,5,-4,-1,-2]=>[-4,-5,-1,-3,2]=>[4,5,1,3,2]=>0000
[-3,-5,4,1,2]=>[4,5,-1,3,-2]=>[4,5,1,3,2]=>0000
[-3,-5,4,1,-2]=>[4,-5,-1,3,-2]=>[4,5,1,3,2]=>0000
[-3,-5,4,-1,2]=>[-4,5,-1,3,-2]=>[4,5,1,3,2]=>0000
[-3,-5,4,-1,-2]=>[-4,-5,-1,3,-2]=>[4,5,1,3,2]=>0000
[-3,-5,-4,1,2]=>[4,5,-1,-3,-2]=>[4,5,1,3,2]=>0000
[-3,-5,-4,1,-2]=>[4,-5,-1,-3,-2]=>[4,5,1,3,2]=>0000
[-3,-5,-4,-1,2]=>[-4,5,-1,-3,-2]=>[4,5,1,3,2]=>0000
[-3,-5,-4,-1,-2]=>[-4,-5,-1,-3,-2]=>[4,5,1,3,2]=>0000
[3,5,4,2,1]=>[5,4,1,3,2]=>[5,4,1,3,2]=>0000
[3,5,4,2,-1]=>[-5,4,1,3,2]=>[5,4,1,3,2]=>0000
[3,5,4,-2,1]=>[5,-4,1,3,2]=>[5,4,1,3,2]=>0000
[3,5,4,-2,-1]=>[-5,-4,1,3,2]=>[5,4,1,3,2]=>0000
[3,5,-4,2,1]=>[5,4,1,-3,2]=>[5,4,1,3,2]=>0000
[3,5,-4,2,-1]=>[-5,4,1,-3,2]=>[5,4,1,3,2]=>0000
[3,5,-4,-2,1]=>[5,-4,1,-3,2]=>[5,4,1,3,2]=>0000
[3,5,-4,-2,-1]=>[-5,-4,1,-3,2]=>[5,4,1,3,2]=>0000
[3,-5,4,2,1]=>[5,4,1,3,-2]=>[5,4,1,3,2]=>0000
[3,-5,4,2,-1]=>[-5,4,1,3,-2]=>[5,4,1,3,2]=>0000
[3,-5,4,-2,1]=>[5,-4,1,3,-2]=>[5,4,1,3,2]=>0000
[3,-5,4,-2,-1]=>[-5,-4,1,3,-2]=>[5,4,1,3,2]=>0000
[3,-5,-4,2,1]=>[5,4,1,-3,-2]=>[5,4,1,3,2]=>0000
[3,-5,-4,2,-1]=>[-5,4,1,-3,-2]=>[5,4,1,3,2]=>0000
[3,-5,-4,-2,1]=>[5,-4,1,-3,-2]=>[5,4,1,3,2]=>0000
[3,-5,-4,-2,-1]=>[-5,-4,1,-3,-2]=>[5,4,1,3,2]=>0000
[-3,5,4,2,1]=>[5,4,-1,3,2]=>[5,4,1,3,2]=>0000
[-3,5,4,2,-1]=>[-5,4,-1,3,2]=>[5,4,1,3,2]=>0000
[-3,5,4,-2,1]=>[5,-4,-1,3,2]=>[5,4,1,3,2]=>0000
[-3,5,4,-2,-1]=>[-5,-4,-1,3,2]=>[5,4,1,3,2]=>0000
[-3,5,-4,2,1]=>[5,4,-1,-3,2]=>[5,4,1,3,2]=>0000
[-3,5,-4,2,-1]=>[-5,4,-1,-3,2]=>[5,4,1,3,2]=>0000
[-3,5,-4,-2,1]=>[5,-4,-1,-3,2]=>[5,4,1,3,2]=>0000
[-3,5,-4,-2,-1]=>[-5,-4,-1,-3,2]=>[5,4,1,3,2]=>0000
[-3,-5,4,2,1]=>[5,4,-1,3,-2]=>[5,4,1,3,2]=>0000
[-3,-5,4,2,-1]=>[-5,4,-1,3,-2]=>[5,4,1,3,2]=>0000
[-3,-5,4,-2,1]=>[5,-4,-1,3,-2]=>[5,4,1,3,2]=>0000
[-3,-5,4,-2,-1]=>[-5,-4,-1,3,-2]=>[5,4,1,3,2]=>0000
[-3,-5,-4,2,1]=>[5,4,-1,-3,-2]=>[5,4,1,3,2]=>0000
[-3,-5,-4,2,-1]=>[-5,4,-1,-3,-2]=>[5,4,1,3,2]=>0000
[-3,-5,-4,-2,1]=>[5,-4,-1,-3,-2]=>[5,4,1,3,2]=>0000
[-3,-5,-4,-2,-1]=>[-5,-4,-1,-3,-2]=>[5,4,1,3,2]=>0000
[4,1,2,3,5]=>[2,3,4,1,5]=>[2,3,4,1,5]=>0001
[4,1,2,3,-5]=>[2,3,4,1,-5]=>[2,3,4,1,5]=>0001
[4,1,2,-3,5]=>[2,3,-4,1,5]=>[2,3,4,1,5]=>0001
[4,1,2,-3,-5]=>[2,3,-4,1,-5]=>[2,3,4,1,5]=>0001
[4,1,-2,3,5]=>[2,-3,4,1,5]=>[2,3,4,1,5]=>0001
[4,1,-2,3,-5]=>[2,-3,4,1,-5]=>[2,3,4,1,5]=>0001
[4,1,-2,-3,5]=>[2,-3,-4,1,5]=>[2,3,4,1,5]=>0001
[4,1,-2,-3,-5]=>[2,-3,-4,1,-5]=>[2,3,4,1,5]=>0001
[4,-1,2,3,5]=>[-2,3,4,1,5]=>[2,3,4,1,5]=>0001
[4,-1,2,3,-5]=>[-2,3,4,1,-5]=>[2,3,4,1,5]=>0001
[4,-1,2,-3,5]=>[-2,3,-4,1,5]=>[2,3,4,1,5]=>0001
[4,-1,2,-3,-5]=>[-2,3,-4,1,-5]=>[2,3,4,1,5]=>0001
[4,-1,-2,3,5]=>[-2,-3,4,1,5]=>[2,3,4,1,5]=>0001
[4,-1,-2,3,-5]=>[-2,-3,4,1,-5]=>[2,3,4,1,5]=>0001
[4,-1,-2,-3,5]=>[-2,-3,-4,1,5]=>[2,3,4,1,5]=>0001
[4,-1,-2,-3,-5]=>[-2,-3,-4,1,-5]=>[2,3,4,1,5]=>0001
[-4,1,2,3,5]=>[2,3,4,-1,5]=>[2,3,4,1,5]=>0001
[-4,1,2,3,-5]=>[2,3,4,-1,-5]=>[2,3,4,1,5]=>0001
[-4,1,2,-3,5]=>[2,3,-4,-1,5]=>[2,3,4,1,5]=>0001
[-4,1,2,-3,-5]=>[2,3,-4,-1,-5]=>[2,3,4,1,5]=>0001
[-4,1,-2,3,5]=>[2,-3,4,-1,5]=>[2,3,4,1,5]=>0001
[-4,1,-2,3,-5]=>[2,-3,4,-1,-5]=>[2,3,4,1,5]=>0001
[-4,1,-2,-3,5]=>[2,-3,-4,-1,5]=>[2,3,4,1,5]=>0001
[-4,1,-2,-3,-5]=>[2,-3,-4,-1,-5]=>[2,3,4,1,5]=>0001
[-4,-1,2,3,5]=>[-2,3,4,-1,5]=>[2,3,4,1,5]=>0001
[-4,-1,2,3,-5]=>[-2,3,4,-1,-5]=>[2,3,4,1,5]=>0001
[-4,-1,2,-3,5]=>[-2,3,-4,-1,5]=>[2,3,4,1,5]=>0001
[-4,-1,2,-3,-5]=>[-2,3,-4,-1,-5]=>[2,3,4,1,5]=>0001
[-4,-1,-2,3,5]=>[-2,-3,4,-1,5]=>[2,3,4,1,5]=>0001
[-4,-1,-2,3,-5]=>[-2,-3,4,-1,-5]=>[2,3,4,1,5]=>0001
[-4,-1,-2,-3,5]=>[-2,-3,-4,-1,5]=>[2,3,4,1,5]=>0001
[-4,-1,-2,-3,-5]=>[-2,-3,-4,-1,-5]=>[2,3,4,1,5]=>0001
[4,1,2,5,3]=>[2,3,5,1,4]=>[2,3,5,1,4]=>0000
[4,1,2,5,-3]=>[2,3,-5,1,4]=>[2,3,5,1,4]=>0000
[4,1,2,-5,3]=>[2,3,5,1,-4]=>[2,3,5,1,4]=>0000
[4,1,2,-5,-3]=>[2,3,-5,1,-4]=>[2,3,5,1,4]=>0000
[4,1,-2,5,3]=>[2,-3,5,1,4]=>[2,3,5,1,4]=>0000
[4,1,-2,5,-3]=>[2,-3,-5,1,4]=>[2,3,5,1,4]=>0000
[4,1,-2,-5,3]=>[2,-3,5,1,-4]=>[2,3,5,1,4]=>0000
[4,1,-2,-5,-3]=>[2,-3,-5,1,-4]=>[2,3,5,1,4]=>0000
[4,-1,2,5,3]=>[-2,3,5,1,4]=>[2,3,5,1,4]=>0000
[4,-1,2,5,-3]=>[-2,3,-5,1,4]=>[2,3,5,1,4]=>0000
[4,-1,2,-5,3]=>[-2,3,5,1,-4]=>[2,3,5,1,4]=>0000
[4,-1,2,-5,-3]=>[-2,3,-5,1,-4]=>[2,3,5,1,4]=>0000
[4,-1,-2,5,3]=>[-2,-3,5,1,4]=>[2,3,5,1,4]=>0000
[4,-1,-2,5,-3]=>[-2,-3,-5,1,4]=>[2,3,5,1,4]=>0000
[4,-1,-2,-5,3]=>[-2,-3,5,1,-4]=>[2,3,5,1,4]=>0000
[4,-1,-2,-5,-3]=>[-2,-3,-5,1,-4]=>[2,3,5,1,4]=>0000
[-4,1,2,5,3]=>[2,3,5,-1,4]=>[2,3,5,1,4]=>0000
[-4,1,2,5,-3]=>[2,3,-5,-1,4]=>[2,3,5,1,4]=>0000
[-4,1,2,-5,3]=>[2,3,5,-1,-4]=>[2,3,5,1,4]=>0000
[-4,1,2,-5,-3]=>[2,3,-5,-1,-4]=>[2,3,5,1,4]=>0000
[-4,1,-2,5,3]=>[2,-3,5,-1,4]=>[2,3,5,1,4]=>0000
[-4,1,-2,5,-3]=>[2,-3,-5,-1,4]=>[2,3,5,1,4]=>0000
[-4,1,-2,-5,3]=>[2,-3,5,-1,-4]=>[2,3,5,1,4]=>0000
[-4,1,-2,-5,-3]=>[2,-3,-5,-1,-4]=>[2,3,5,1,4]=>0000
[-4,-1,2,5,3]=>[-2,3,5,-1,4]=>[2,3,5,1,4]=>0000
[-4,-1,2,5,-3]=>[-2,3,-5,-1,4]=>[2,3,5,1,4]=>0000
[-4,-1,2,-5,3]=>[-2,3,5,-1,-4]=>[2,3,5,1,4]=>0000
[-4,-1,2,-5,-3]=>[-2,3,-5,-1,-4]=>[2,3,5,1,4]=>0000
[-4,-1,-2,5,3]=>[-2,-3,5,-1,4]=>[2,3,5,1,4]=>0000
[-4,-1,-2,5,-3]=>[-2,-3,-5,-1,4]=>[2,3,5,1,4]=>0000
[-4,-1,-2,-5,3]=>[-2,-3,5,-1,-4]=>[2,3,5,1,4]=>0000
[-4,-1,-2,-5,-3]=>[-2,-3,-5,-1,-4]=>[2,3,5,1,4]=>0000
[4,1,3,2,5]=>[2,4,3,1,5]=>[2,4,3,1,5]=>0001
[4,1,3,2,-5]=>[2,4,3,1,-5]=>[2,4,3,1,5]=>0001
[4,1,3,-2,5]=>[2,-4,3,1,5]=>[2,4,3,1,5]=>0001
[4,1,3,-2,-5]=>[2,-4,3,1,-5]=>[2,4,3,1,5]=>0001
[4,1,-3,2,5]=>[2,4,-3,1,5]=>[2,4,3,1,5]=>0001
[4,1,-3,2,-5]=>[2,4,-3,1,-5]=>[2,4,3,1,5]=>0001
[4,1,-3,-2,5]=>[2,-4,-3,1,5]=>[2,4,3,1,5]=>0001
[4,1,-3,-2,-5]=>[2,-4,-3,1,-5]=>[2,4,3,1,5]=>0001
[4,-1,3,2,5]=>[-2,4,3,1,5]=>[2,4,3,1,5]=>0001
[4,-1,3,2,-5]=>[-2,4,3,1,-5]=>[2,4,3,1,5]=>0001
[4,-1,3,-2,5]=>[-2,-4,3,1,5]=>[2,4,3,1,5]=>0001
[4,-1,3,-2,-5]=>[-2,-4,3,1,-5]=>[2,4,3,1,5]=>0001
[4,-1,-3,2,5]=>[-2,4,-3,1,5]=>[2,4,3,1,5]=>0001
[4,-1,-3,2,-5]=>[-2,4,-3,1,-5]=>[2,4,3,1,5]=>0001
[4,-1,-3,-2,5]=>[-2,-4,-3,1,5]=>[2,4,3,1,5]=>0001
[4,-1,-3,-2,-5]=>[-2,-4,-3,1,-5]=>[2,4,3,1,5]=>0001
[-4,1,3,2,5]=>[2,4,3,-1,5]=>[2,4,3,1,5]=>0001
[-4,1,3,2,-5]=>[2,4,3,-1,-5]=>[2,4,3,1,5]=>0001
[-4,1,3,-2,5]=>[2,-4,3,-1,5]=>[2,4,3,1,5]=>0001
[-4,1,3,-2,-5]=>[2,-4,3,-1,-5]=>[2,4,3,1,5]=>0001
[-4,1,-3,2,5]=>[2,4,-3,-1,5]=>[2,4,3,1,5]=>0001
[-4,1,-3,2,-5]=>[2,4,-3,-1,-5]=>[2,4,3,1,5]=>0001
[-4,1,-3,-2,5]=>[2,-4,-3,-1,5]=>[2,4,3,1,5]=>0001
[-4,1,-3,-2,-5]=>[2,-4,-3,-1,-5]=>[2,4,3,1,5]=>0001
[-4,-1,3,2,5]=>[-2,4,3,-1,5]=>[2,4,3,1,5]=>0001
[-4,-1,3,2,-5]=>[-2,4,3,-1,-5]=>[2,4,3,1,5]=>0001
[-4,-1,3,-2,5]=>[-2,-4,3,-1,5]=>[2,4,3,1,5]=>0001
[-4,-1,3,-2,-5]=>[-2,-4,3,-1,-5]=>[2,4,3,1,5]=>0001
[-4,-1,-3,2,5]=>[-2,4,-3,-1,5]=>[2,4,3,1,5]=>0001
[-4,-1,-3,2,-5]=>[-2,4,-3,-1,-5]=>[2,4,3,1,5]=>0001
[-4,-1,-3,-2,5]=>[-2,-4,-3,-1,5]=>[2,4,3,1,5]=>0001
[-4,-1,-3,-2,-5]=>[-2,-4,-3,-1,-5]=>[2,4,3,1,5]=>0001
[4,1,3,5,2]=>[2,5,3,1,4]=>[2,5,3,1,4]=>0000
[4,1,3,5,-2]=>[2,-5,3,1,4]=>[2,5,3,1,4]=>0000
[4,1,3,-5,2]=>[2,5,3,1,-4]=>[2,5,3,1,4]=>0000
[4,1,3,-5,-2]=>[2,-5,3,1,-4]=>[2,5,3,1,4]=>0000
[4,1,-3,5,2]=>[2,5,-3,1,4]=>[2,5,3,1,4]=>0000
[4,1,-3,5,-2]=>[2,-5,-3,1,4]=>[2,5,3,1,4]=>0000
[4,1,-3,-5,2]=>[2,5,-3,1,-4]=>[2,5,3,1,4]=>0000
[4,1,-3,-5,-2]=>[2,-5,-3,1,-4]=>[2,5,3,1,4]=>0000
[4,-1,3,5,2]=>[-2,5,3,1,4]=>[2,5,3,1,4]=>0000
[4,-1,3,5,-2]=>[-2,-5,3,1,4]=>[2,5,3,1,4]=>0000
[4,-1,3,-5,2]=>[-2,5,3,1,-4]=>[2,5,3,1,4]=>0000
[4,-1,3,-5,-2]=>[-2,-5,3,1,-4]=>[2,5,3,1,4]=>0000
[4,-1,-3,5,2]=>[-2,5,-3,1,4]=>[2,5,3,1,4]=>0000
[4,-1,-3,5,-2]=>[-2,-5,-3,1,4]=>[2,5,3,1,4]=>0000
[4,-1,-3,-5,2]=>[-2,5,-3,1,-4]=>[2,5,3,1,4]=>0000
[4,-1,-3,-5,-2]=>[-2,-5,-3,1,-4]=>[2,5,3,1,4]=>0000
[-4,1,3,5,2]=>[2,5,3,-1,4]=>[2,5,3,1,4]=>0000
[-4,1,3,5,-2]=>[2,-5,3,-1,4]=>[2,5,3,1,4]=>0000
[-4,1,3,-5,2]=>[2,5,3,-1,-4]=>[2,5,3,1,4]=>0000
[-4,1,3,-5,-2]=>[2,-5,3,-1,-4]=>[2,5,3,1,4]=>0000
[-4,1,-3,5,2]=>[2,5,-3,-1,4]=>[2,5,3,1,4]=>0000
[-4,1,-3,5,-2]=>[2,-5,-3,-1,4]=>[2,5,3,1,4]=>0000
[-4,1,-3,-5,2]=>[2,5,-3,-1,-4]=>[2,5,3,1,4]=>0000
[-4,1,-3,-5,-2]=>[2,-5,-3,-1,-4]=>[2,5,3,1,4]=>0000
[-4,-1,3,5,2]=>[-2,5,3,-1,4]=>[2,5,3,1,4]=>0000
[-4,-1,3,5,-2]=>[-2,-5,3,-1,4]=>[2,5,3,1,4]=>0000
[-4,-1,3,-5,2]=>[-2,5,3,-1,-4]=>[2,5,3,1,4]=>0000
[-4,-1,3,-5,-2]=>[-2,-5,3,-1,-4]=>[2,5,3,1,4]=>0000
[-4,-1,-3,5,2]=>[-2,5,-3,-1,4]=>[2,5,3,1,4]=>0000
[-4,-1,-3,5,-2]=>[-2,-5,-3,-1,4]=>[2,5,3,1,4]=>0000
[-4,-1,-3,-5,2]=>[-2,5,-3,-1,-4]=>[2,5,3,1,4]=>0000
[-4,-1,-3,-5,-2]=>[-2,-5,-3,-1,-4]=>[2,5,3,1,4]=>0000
[4,1,5,2,3]=>[2,4,5,1,3]=>[2,4,5,1,3]=>0000
[4,1,5,2,-3]=>[2,4,-5,1,3]=>[2,4,5,1,3]=>0000
[4,1,5,-2,3]=>[2,-4,5,1,3]=>[2,4,5,1,3]=>0000
[4,1,5,-2,-3]=>[2,-4,-5,1,3]=>[2,4,5,1,3]=>0000
[4,1,-5,2,3]=>[2,4,5,1,-3]=>[2,4,5,1,3]=>0000
[4,1,-5,2,-3]=>[2,4,-5,1,-3]=>[2,4,5,1,3]=>0000
[4,1,-5,-2,3]=>[2,-4,5,1,-3]=>[2,4,5,1,3]=>0000
[4,1,-5,-2,-3]=>[2,-4,-5,1,-3]=>[2,4,5,1,3]=>0000
[4,-1,5,2,3]=>[-2,4,5,1,3]=>[2,4,5,1,3]=>0000
[4,-1,5,2,-3]=>[-2,4,-5,1,3]=>[2,4,5,1,3]=>0000
[4,-1,5,-2,3]=>[-2,-4,5,1,3]=>[2,4,5,1,3]=>0000
[4,-1,5,-2,-3]=>[-2,-4,-5,1,3]=>[2,4,5,1,3]=>0000
[4,-1,-5,2,3]=>[-2,4,5,1,-3]=>[2,4,5,1,3]=>0000
[4,-1,-5,2,-3]=>[-2,4,-5,1,-3]=>[2,4,5,1,3]=>0000
[4,-1,-5,-2,3]=>[-2,-4,5,1,-3]=>[2,4,5,1,3]=>0000
[4,-1,-5,-2,-3]=>[-2,-4,-5,1,-3]=>[2,4,5,1,3]=>0000
[-4,1,5,2,3]=>[2,4,5,-1,3]=>[2,4,5,1,3]=>0000
[-4,1,5,2,-3]=>[2,4,-5,-1,3]=>[2,4,5,1,3]=>0000
[-4,1,5,-2,3]=>[2,-4,5,-1,3]=>[2,4,5,1,3]=>0000
[-4,1,5,-2,-3]=>[2,-4,-5,-1,3]=>[2,4,5,1,3]=>0000
[-4,1,-5,2,3]=>[2,4,5,-1,-3]=>[2,4,5,1,3]=>0000
[-4,1,-5,2,-3]=>[2,4,-5,-1,-3]=>[2,4,5,1,3]=>0000
[-4,1,-5,-2,3]=>[2,-4,5,-1,-3]=>[2,4,5,1,3]=>0000
[-4,1,-5,-2,-3]=>[2,-4,-5,-1,-3]=>[2,4,5,1,3]=>0000
[-4,-1,5,2,3]=>[-2,4,5,-1,3]=>[2,4,5,1,3]=>0000
[-4,-1,5,2,-3]=>[-2,4,-5,-1,3]=>[2,4,5,1,3]=>0000
[-4,-1,5,-2,3]=>[-2,-4,5,-1,3]=>[2,4,5,1,3]=>0000
[-4,-1,5,-2,-3]=>[-2,-4,-5,-1,3]=>[2,4,5,1,3]=>0000
[-4,-1,-5,2,3]=>[-2,4,5,-1,-3]=>[2,4,5,1,3]=>0000
[-4,-1,-5,2,-3]=>[-2,4,-5,-1,-3]=>[2,4,5,1,3]=>0000
[-4,-1,-5,-2,3]=>[-2,-4,5,-1,-3]=>[2,4,5,1,3]=>0000
[-4,-1,-5,-2,-3]=>[-2,-4,-5,-1,-3]=>[2,4,5,1,3]=>0000
[4,1,5,3,2]=>[2,5,4,1,3]=>[2,5,4,1,3]=>0000
[4,1,5,3,-2]=>[2,-5,4,1,3]=>[2,5,4,1,3]=>0000
[4,1,5,-3,2]=>[2,5,-4,1,3]=>[2,5,4,1,3]=>0000
[4,1,5,-3,-2]=>[2,-5,-4,1,3]=>[2,5,4,1,3]=>0000
[4,1,-5,3,2]=>[2,5,4,1,-3]=>[2,5,4,1,3]=>0000
[4,1,-5,3,-2]=>[2,-5,4,1,-3]=>[2,5,4,1,3]=>0000
[4,1,-5,-3,2]=>[2,5,-4,1,-3]=>[2,5,4,1,3]=>0000
[4,1,-5,-3,-2]=>[2,-5,-4,1,-3]=>[2,5,4,1,3]=>0000
[4,-1,5,3,2]=>[-2,5,4,1,3]=>[2,5,4,1,3]=>0000
[4,-1,5,3,-2]=>[-2,-5,4,1,3]=>[2,5,4,1,3]=>0000
[4,-1,5,-3,2]=>[-2,5,-4,1,3]=>[2,5,4,1,3]=>0000
[4,-1,5,-3,-2]=>[-2,-5,-4,1,3]=>[2,5,4,1,3]=>0000
[4,-1,-5,3,2]=>[-2,5,4,1,-3]=>[2,5,4,1,3]=>0000
[4,-1,-5,3,-2]=>[-2,-5,4,1,-3]=>[2,5,4,1,3]=>0000
[4,-1,-5,-3,2]=>[-2,5,-4,1,-3]=>[2,5,4,1,3]=>0000
[4,-1,-5,-3,-2]=>[-2,-5,-4,1,-3]=>[2,5,4,1,3]=>0000
[-4,1,5,3,2]=>[2,5,4,-1,3]=>[2,5,4,1,3]=>0000
[-4,1,5,3,-2]=>[2,-5,4,-1,3]=>[2,5,4,1,3]=>0000
[-4,1,5,-3,2]=>[2,5,-4,-1,3]=>[2,5,4,1,3]=>0000
[-4,1,5,-3,-2]=>[2,-5,-4,-1,3]=>[2,5,4,1,3]=>0000
[-4,1,-5,3,2]=>[2,5,4,-1,-3]=>[2,5,4,1,3]=>0000
[-4,1,-5,3,-2]=>[2,-5,4,-1,-3]=>[2,5,4,1,3]=>0000
[-4,1,-5,-3,2]=>[2,5,-4,-1,-3]=>[2,5,4,1,3]=>0000
[-4,1,-5,-3,-2]=>[2,-5,-4,-1,-3]=>[2,5,4,1,3]=>0000
[-4,-1,5,3,2]=>[-2,5,4,-1,3]=>[2,5,4,1,3]=>0000
[-4,-1,5,3,-2]=>[-2,-5,4,-1,3]=>[2,5,4,1,3]=>0000
[-4,-1,5,-3,2]=>[-2,5,-4,-1,3]=>[2,5,4,1,3]=>0000
[-4,-1,5,-3,-2]=>[-2,-5,-4,-1,3]=>[2,5,4,1,3]=>0000
[-4,-1,-5,3,2]=>[-2,5,4,-1,-3]=>[2,5,4,1,3]=>0000
[-4,-1,-5,3,-2]=>[-2,-5,4,-1,-3]=>[2,5,4,1,3]=>0000
[-4,-1,-5,-3,2]=>[-2,5,-4,-1,-3]=>[2,5,4,1,3]=>0000
[-4,-1,-5,-3,-2]=>[-2,-5,-4,-1,-3]=>[2,5,4,1,3]=>0000
[4,2,1,3,5]=>[3,2,4,1,5]=>[3,2,4,1,5]=>0001
[4,2,1,3,-5]=>[3,2,4,1,-5]=>[3,2,4,1,5]=>0001
[4,2,1,-3,5]=>[3,2,-4,1,5]=>[3,2,4,1,5]=>0001
[4,2,1,-3,-5]=>[3,2,-4,1,-5]=>[3,2,4,1,5]=>0001
[4,2,-1,3,5]=>[-3,2,4,1,5]=>[3,2,4,1,5]=>0001
[4,2,-1,3,-5]=>[-3,2,4,1,-5]=>[3,2,4,1,5]=>0001
[4,2,-1,-3,5]=>[-3,2,-4,1,5]=>[3,2,4,1,5]=>0001
[4,2,-1,-3,-5]=>[-3,2,-4,1,-5]=>[3,2,4,1,5]=>0001
[4,-2,1,3,5]=>[3,-2,4,1,5]=>[3,2,4,1,5]=>0001
[4,-2,1,3,-5]=>[3,-2,4,1,-5]=>[3,2,4,1,5]=>0001
[4,-2,1,-3,5]=>[3,-2,-4,1,5]=>[3,2,4,1,5]=>0001
[4,-2,1,-3,-5]=>[3,-2,-4,1,-5]=>[3,2,4,1,5]=>0001
[4,-2,-1,3,5]=>[-3,-2,4,1,5]=>[3,2,4,1,5]=>0001
[4,-2,-1,3,-5]=>[-3,-2,4,1,-5]=>[3,2,4,1,5]=>0001
[4,-2,-1,-3,5]=>[-3,-2,-4,1,5]=>[3,2,4,1,5]=>0001
[4,-2,-1,-3,-5]=>[-3,-2,-4,1,-5]=>[3,2,4,1,5]=>0001
[-4,2,1,3,5]=>[3,2,4,-1,5]=>[3,2,4,1,5]=>0001
[-4,2,1,3,-5]=>[3,2,4,-1,-5]=>[3,2,4,1,5]=>0001
[-4,2,1,-3,5]=>[3,2,-4,-1,5]=>[3,2,4,1,5]=>0001
[-4,2,1,-3,-5]=>[3,2,-4,-1,-5]=>[3,2,4,1,5]=>0001
[-4,2,-1,3,5]=>[-3,2,4,-1,5]=>[3,2,4,1,5]=>0001
[-4,2,-1,3,-5]=>[-3,2,4,-1,-5]=>[3,2,4,1,5]=>0001
[-4,2,-1,-3,5]=>[-3,2,-4,-1,5]=>[3,2,4,1,5]=>0001
[-4,2,-1,-3,-5]=>[-3,2,-4,-1,-5]=>[3,2,4,1,5]=>0001
[-4,-2,1,3,5]=>[3,-2,4,-1,5]=>[3,2,4,1,5]=>0001
[-4,-2,1,3,-5]=>[3,-2,4,-1,-5]=>[3,2,4,1,5]=>0001
[-4,-2,1,-3,5]=>[3,-2,-4,-1,5]=>[3,2,4,1,5]=>0001
[-4,-2,1,-3,-5]=>[3,-2,-4,-1,-5]=>[3,2,4,1,5]=>0001
[-4,-2,-1,3,5]=>[-3,-2,4,-1,5]=>[3,2,4,1,5]=>0001
[-4,-2,-1,3,-5]=>[-3,-2,4,-1,-5]=>[3,2,4,1,5]=>0001
[-4,-2,-1,-3,5]=>[-3,-2,-4,-1,5]=>[3,2,4,1,5]=>0001
[-4,-2,-1,-3,-5]=>[-3,-2,-4,-1,-5]=>[3,2,4,1,5]=>0001
[4,2,1,5,3]=>[3,2,5,1,4]=>[3,2,5,1,4]=>0000
[4,2,1,5,-3]=>[3,2,-5,1,4]=>[3,2,5,1,4]=>0000
[4,2,1,-5,3]=>[3,2,5,1,-4]=>[3,2,5,1,4]=>0000
[4,2,1,-5,-3]=>[3,2,-5,1,-4]=>[3,2,5,1,4]=>0000
[4,2,-1,5,3]=>[-3,2,5,1,4]=>[3,2,5,1,4]=>0000
[4,2,-1,5,-3]=>[-3,2,-5,1,4]=>[3,2,5,1,4]=>0000
[4,2,-1,-5,3]=>[-3,2,5,1,-4]=>[3,2,5,1,4]=>0000
[4,2,-1,-5,-3]=>[-3,2,-5,1,-4]=>[3,2,5,1,4]=>0000
[4,-2,1,5,3]=>[3,-2,5,1,4]=>[3,2,5,1,4]=>0000
[4,-2,1,5,-3]=>[3,-2,-5,1,4]=>[3,2,5,1,4]=>0000
[4,-2,1,-5,3]=>[3,-2,5,1,-4]=>[3,2,5,1,4]=>0000
[4,-2,1,-5,-3]=>[3,-2,-5,1,-4]=>[3,2,5,1,4]=>0000
[4,-2,-1,5,3]=>[-3,-2,5,1,4]=>[3,2,5,1,4]=>0000
[4,-2,-1,5,-3]=>[-3,-2,-5,1,4]=>[3,2,5,1,4]=>0000
[4,-2,-1,-5,3]=>[-3,-2,5,1,-4]=>[3,2,5,1,4]=>0000
[4,-2,-1,-5,-3]=>[-3,-2,-5,1,-4]=>[3,2,5,1,4]=>0000
[-4,2,1,5,3]=>[3,2,5,-1,4]=>[3,2,5,1,4]=>0000
[-4,2,1,5,-3]=>[3,2,-5,-1,4]=>[3,2,5,1,4]=>0000
[-4,2,1,-5,3]=>[3,2,5,-1,-4]=>[3,2,5,1,4]=>0000
[-4,2,1,-5,-3]=>[3,2,-5,-1,-4]=>[3,2,5,1,4]=>0000
[-4,2,-1,5,3]=>[-3,2,5,-1,4]=>[3,2,5,1,4]=>0000
[-4,2,-1,5,-3]=>[-3,2,-5,-1,4]=>[3,2,5,1,4]=>0000
[-4,2,-1,-5,3]=>[-3,2,5,-1,-4]=>[3,2,5,1,4]=>0000
[-4,2,-1,-5,-3]=>[-3,2,-5,-1,-4]=>[3,2,5,1,4]=>0000
[-4,-2,1,5,3]=>[3,-2,5,-1,4]=>[3,2,5,1,4]=>0000
[-4,-2,1,5,-3]=>[3,-2,-5,-1,4]=>[3,2,5,1,4]=>0000
[-4,-2,1,-5,3]=>[3,-2,5,-1,-4]=>[3,2,5,1,4]=>0000
[-4,-2,1,-5,-3]=>[3,-2,-5,-1,-4]=>[3,2,5,1,4]=>0000
[-4,-2,-1,5,3]=>[-3,-2,5,-1,4]=>[3,2,5,1,4]=>0000
[-4,-2,-1,5,-3]=>[-3,-2,-5,-1,4]=>[3,2,5,1,4]=>0000
[-4,-2,-1,-5,3]=>[-3,-2,5,-1,-4]=>[3,2,5,1,4]=>0000
[-4,-2,-1,-5,-3]=>[-3,-2,-5,-1,-4]=>[3,2,5,1,4]=>0000
[4,2,3,1,5]=>[4,2,3,1,5]=>[4,2,3,1,5]=>0001
[4,2,3,1,-5]=>[4,2,3,1,-5]=>[4,2,3,1,5]=>0001
[4,2,3,-1,5]=>[-4,2,3,1,5]=>[4,2,3,1,5]=>0001
[4,2,3,-1,-5]=>[-4,2,3,1,-5]=>[4,2,3,1,5]=>0001
[4,2,-3,1,5]=>[4,2,-3,1,5]=>[4,2,3,1,5]=>0001
[4,2,-3,1,-5]=>[4,2,-3,1,-5]=>[4,2,3,1,5]=>0001
[4,2,-3,-1,5]=>[-4,2,-3,1,5]=>[4,2,3,1,5]=>0001
[4,2,-3,-1,-5]=>[-4,2,-3,1,-5]=>[4,2,3,1,5]=>0001
[4,-2,3,1,5]=>[4,-2,3,1,5]=>[4,2,3,1,5]=>0001
[4,-2,3,1,-5]=>[4,-2,3,1,-5]=>[4,2,3,1,5]=>0001
[4,-2,3,-1,5]=>[-4,-2,3,1,5]=>[4,2,3,1,5]=>0001
[4,-2,3,-1,-5]=>[-4,-2,3,1,-5]=>[4,2,3,1,5]=>0001
[4,-2,-3,1,5]=>[4,-2,-3,1,5]=>[4,2,3,1,5]=>0001
[4,-2,-3,1,-5]=>[4,-2,-3,1,-5]=>[4,2,3,1,5]=>0001
[4,-2,-3,-1,5]=>[-4,-2,-3,1,5]=>[4,2,3,1,5]=>0001
[4,-2,-3,-1,-5]=>[-4,-2,-3,1,-5]=>[4,2,3,1,5]=>0001
[-4,2,3,1,5]=>[4,2,3,-1,5]=>[4,2,3,1,5]=>0001
[-4,2,3,1,-5]=>[4,2,3,-1,-5]=>[4,2,3,1,5]=>0001
[-4,2,3,-1,5]=>[-4,2,3,-1,5]=>[4,2,3,1,5]=>0001
[-4,2,3,-1,-5]=>[-4,2,3,-1,-5]=>[4,2,3,1,5]=>0001
[-4,2,-3,1,5]=>[4,2,-3,-1,5]=>[4,2,3,1,5]=>0001
[-4,2,-3,1,-5]=>[4,2,-3,-1,-5]=>[4,2,3,1,5]=>0001
[-4,2,-3,-1,5]=>[-4,2,-3,-1,5]=>[4,2,3,1,5]=>0001
[-4,2,-3,-1,-5]=>[-4,2,-3,-1,-5]=>[4,2,3,1,5]=>0001
[-4,-2,3,1,5]=>[4,-2,3,-1,5]=>[4,2,3,1,5]=>0001
[-4,-2,3,1,-5]=>[4,-2,3,-1,-5]=>[4,2,3,1,5]=>0001
[-4,-2,3,-1,5]=>[-4,-2,3,-1,5]=>[4,2,3,1,5]=>0001
[-4,-2,3,-1,-5]=>[-4,-2,3,-1,-5]=>[4,2,3,1,5]=>0001
[-4,-2,-3,1,5]=>[4,-2,-3,-1,5]=>[4,2,3,1,5]=>0001
[-4,-2,-3,1,-5]=>[4,-2,-3,-1,-5]=>[4,2,3,1,5]=>0001
[-4,-2,-3,-1,5]=>[-4,-2,-3,-1,5]=>[4,2,3,1,5]=>0001
[-4,-2,-3,-1,-5]=>[-4,-2,-3,-1,-5]=>[4,2,3,1,5]=>0001
[4,2,3,5,1]=>[5,2,3,1,4]=>[5,2,3,1,4]=>0000
[4,2,3,5,-1]=>[-5,2,3,1,4]=>[5,2,3,1,4]=>0000
[4,2,3,-5,1]=>[5,2,3,1,-4]=>[5,2,3,1,4]=>0000
[4,2,3,-5,-1]=>[-5,2,3,1,-4]=>[5,2,3,1,4]=>0000
[4,2,-3,5,1]=>[5,2,-3,1,4]=>[5,2,3,1,4]=>0000
[4,2,-3,5,-1]=>[-5,2,-3,1,4]=>[5,2,3,1,4]=>0000
[4,2,-3,-5,1]=>[5,2,-3,1,-4]=>[5,2,3,1,4]=>0000
[4,2,-3,-5,-1]=>[-5,2,-3,1,-4]=>[5,2,3,1,4]=>0000
[4,-2,3,5,1]=>[5,-2,3,1,4]=>[5,2,3,1,4]=>0000
[4,-2,3,5,-1]=>[-5,-2,3,1,4]=>[5,2,3,1,4]=>0000
[4,-2,3,-5,1]=>[5,-2,3,1,-4]=>[5,2,3,1,4]=>0000
[4,-2,3,-5,-1]=>[-5,-2,3,1,-4]=>[5,2,3,1,4]=>0000
[4,-2,-3,5,1]=>[5,-2,-3,1,4]=>[5,2,3,1,4]=>0000
[4,-2,-3,5,-1]=>[-5,-2,-3,1,4]=>[5,2,3,1,4]=>0000
[4,-2,-3,-5,1]=>[5,-2,-3,1,-4]=>[5,2,3,1,4]=>0000
[4,-2,-3,-5,-1]=>[-5,-2,-3,1,-4]=>[5,2,3,1,4]=>0000
[-4,2,3,5,1]=>[5,2,3,-1,4]=>[5,2,3,1,4]=>0000
[-4,2,3,5,-1]=>[-5,2,3,-1,4]=>[5,2,3,1,4]=>0000
[-4,2,3,-5,1]=>[5,2,3,-1,-4]=>[5,2,3,1,4]=>0000
[-4,2,3,-5,-1]=>[-5,2,3,-1,-4]=>[5,2,3,1,4]=>0000
[-4,2,-3,5,1]=>[5,2,-3,-1,4]=>[5,2,3,1,4]=>0000
[-4,2,-3,5,-1]=>[-5,2,-3,-1,4]=>[5,2,3,1,4]=>0000
[-4,2,-3,-5,1]=>[5,2,-3,-1,-4]=>[5,2,3,1,4]=>0000
[-4,2,-3,-5,-1]=>[-5,2,-3,-1,-4]=>[5,2,3,1,4]=>0000
[-4,-2,3,5,1]=>[5,-2,3,-1,4]=>[5,2,3,1,4]=>0000
[-4,-2,3,5,-1]=>[-5,-2,3,-1,4]=>[5,2,3,1,4]=>0000
[-4,-2,3,-5,1]=>[5,-2,3,-1,-4]=>[5,2,3,1,4]=>0000
[-4,-2,3,-5,-1]=>[-5,-2,3,-1,-4]=>[5,2,3,1,4]=>0000
[-4,-2,-3,5,1]=>[5,-2,-3,-1,4]=>[5,2,3,1,4]=>0000
[-4,-2,-3,5,-1]=>[-5,-2,-3,-1,4]=>[5,2,3,1,4]=>0000
[-4,-2,-3,-5,1]=>[5,-2,-3,-1,-4]=>[5,2,3,1,4]=>0000
[-4,-2,-3,-5,-1]=>[-5,-2,-3,-1,-4]=>[5,2,3,1,4]=>0000
[4,2,5,1,3]=>[4,2,5,1,3]=>[4,2,5,1,3]=>0000
[4,2,5,1,-3]=>[4,2,-5,1,3]=>[4,2,5,1,3]=>0000
[4,2,5,-1,3]=>[-4,2,5,1,3]=>[4,2,5,1,3]=>0000
[4,2,5,-1,-3]=>[-4,2,-5,1,3]=>[4,2,5,1,3]=>0000
[4,2,-5,1,3]=>[4,2,5,1,-3]=>[4,2,5,1,3]=>0000
[4,2,-5,1,-3]=>[4,2,-5,1,-3]=>[4,2,5,1,3]=>0000
[4,2,-5,-1,3]=>[-4,2,5,1,-3]=>[4,2,5,1,3]=>0000
[4,2,-5,-1,-3]=>[-4,2,-5,1,-3]=>[4,2,5,1,3]=>0000
[4,-2,5,1,3]=>[4,-2,5,1,3]=>[4,2,5,1,3]=>0000
[4,-2,5,1,-3]=>[4,-2,-5,1,3]=>[4,2,5,1,3]=>0000
[4,-2,5,-1,3]=>[-4,-2,5,1,3]=>[4,2,5,1,3]=>0000
[4,-2,5,-1,-3]=>[-4,-2,-5,1,3]=>[4,2,5,1,3]=>0000
[4,-2,-5,1,3]=>[4,-2,5,1,-3]=>[4,2,5,1,3]=>0000
[4,-2,-5,1,-3]=>[4,-2,-5,1,-3]=>[4,2,5,1,3]=>0000
[4,-2,-5,-1,3]=>[-4,-2,5,1,-3]=>[4,2,5,1,3]=>0000
[4,-2,-5,-1,-3]=>[-4,-2,-5,1,-3]=>[4,2,5,1,3]=>0000
[-4,2,5,1,3]=>[4,2,5,-1,3]=>[4,2,5,1,3]=>0000
[-4,2,5,1,-3]=>[4,2,-5,-1,3]=>[4,2,5,1,3]=>0000
[-4,2,5,-1,3]=>[-4,2,5,-1,3]=>[4,2,5,1,3]=>0000
[-4,2,5,-1,-3]=>[-4,2,-5,-1,3]=>[4,2,5,1,3]=>0000
[-4,2,-5,1,3]=>[4,2,5,-1,-3]=>[4,2,5,1,3]=>0000
[-4,2,-5,1,-3]=>[4,2,-5,-1,-3]=>[4,2,5,1,3]=>0000
[-4,2,-5,-1,3]=>[-4,2,5,-1,-3]=>[4,2,5,1,3]=>0000
[-4,2,-5,-1,-3]=>[-4,2,-5,-1,-3]=>[4,2,5,1,3]=>0000
[-4,-2,5,1,3]=>[4,-2,5,-1,3]=>[4,2,5,1,3]=>0000
[-4,-2,5,1,-3]=>[4,-2,-5,-1,3]=>[4,2,5,1,3]=>0000
[-4,-2,5,-1,3]=>[-4,-2,5,-1,3]=>[4,2,5,1,3]=>0000
[-4,-2,5,-1,-3]=>[-4,-2,-5,-1,3]=>[4,2,5,1,3]=>0000
[-4,-2,-5,1,3]=>[4,-2,5,-1,-3]=>[4,2,5,1,3]=>0000
[-4,-2,-5,1,-3]=>[4,-2,-5,-1,-3]=>[4,2,5,1,3]=>0000
[-4,-2,-5,-1,3]=>[-4,-2,5,-1,-3]=>[4,2,5,1,3]=>0000
[-4,-2,-5,-1,-3]=>[-4,-2,-5,-1,-3]=>[4,2,5,1,3]=>0000
[4,2,5,3,1]=>[5,2,4,1,3]=>[5,2,4,1,3]=>0000
[4,2,5,3,-1]=>[-5,2,4,1,3]=>[5,2,4,1,3]=>0000
[4,2,5,-3,1]=>[5,2,-4,1,3]=>[5,2,4,1,3]=>0000
[4,2,5,-3,-1]=>[-5,2,-4,1,3]=>[5,2,4,1,3]=>0000
[4,2,-5,3,1]=>[5,2,4,1,-3]=>[5,2,4,1,3]=>0000
[4,2,-5,3,-1]=>[-5,2,4,1,-3]=>[5,2,4,1,3]=>0000
[4,2,-5,-3,1]=>[5,2,-4,1,-3]=>[5,2,4,1,3]=>0000
[4,2,-5,-3,-1]=>[-5,2,-4,1,-3]=>[5,2,4,1,3]=>0000
[4,-2,5,3,1]=>[5,-2,4,1,3]=>[5,2,4,1,3]=>0000
[4,-2,5,3,-1]=>[-5,-2,4,1,3]=>[5,2,4,1,3]=>0000
[4,-2,5,-3,1]=>[5,-2,-4,1,3]=>[5,2,4,1,3]=>0000
[4,-2,5,-3,-1]=>[-5,-2,-4,1,3]=>[5,2,4,1,3]=>0000
[4,-2,-5,3,1]=>[5,-2,4,1,-3]=>[5,2,4,1,3]=>0000
[4,-2,-5,3,-1]=>[-5,-2,4,1,-3]=>[5,2,4,1,3]=>0000
[4,-2,-5,-3,1]=>[5,-2,-4,1,-3]=>[5,2,4,1,3]=>0000
[4,-2,-5,-3,-1]=>[-5,-2,-4,1,-3]=>[5,2,4,1,3]=>0000
[-4,2,5,3,1]=>[5,2,4,-1,3]=>[5,2,4,1,3]=>0000
[-4,2,5,3,-1]=>[-5,2,4,-1,3]=>[5,2,4,1,3]=>0000
[-4,2,5,-3,1]=>[5,2,-4,-1,3]=>[5,2,4,1,3]=>0000
[-4,2,5,-3,-1]=>[-5,2,-4,-1,3]=>[5,2,4,1,3]=>0000
[-4,2,-5,3,1]=>[5,2,4,-1,-3]=>[5,2,4,1,3]=>0000
[-4,2,-5,3,-1]=>[-5,2,4,-1,-3]=>[5,2,4,1,3]=>0000
[-4,2,-5,-3,1]=>[5,2,-4,-1,-3]=>[5,2,4,1,3]=>0000
[-4,2,-5,-3,-1]=>[-5,2,-4,-1,-3]=>[5,2,4,1,3]=>0000
[-4,-2,5,3,1]=>[5,-2,4,-1,3]=>[5,2,4,1,3]=>0000
[-4,-2,5,3,-1]=>[-5,-2,4,-1,3]=>[5,2,4,1,3]=>0000
[-4,-2,5,-3,1]=>[5,-2,-4,-1,3]=>[5,2,4,1,3]=>0000
[-4,-2,5,-3,-1]=>[-5,-2,-4,-1,3]=>[5,2,4,1,3]=>0000
[-4,-2,-5,3,1]=>[5,-2,4,-1,-3]=>[5,2,4,1,3]=>0000
[-4,-2,-5,3,-1]=>[-5,-2,4,-1,-3]=>[5,2,4,1,3]=>0000
[-4,-2,-5,-3,1]=>[5,-2,-4,-1,-3]=>[5,2,4,1,3]=>0000
[-4,-2,-5,-3,-1]=>[-5,-2,-4,-1,-3]=>[5,2,4,1,3]=>0000
[4,3,1,2,5]=>[3,4,2,1,5]=>[3,4,2,1,5]=>0001
[4,3,1,2,-5]=>[3,4,2,1,-5]=>[3,4,2,1,5]=>0001
[4,3,1,-2,5]=>[3,-4,2,1,5]=>[3,4,2,1,5]=>0001
[4,3,1,-2,-5]=>[3,-4,2,1,-5]=>[3,4,2,1,5]=>0001
[4,3,-1,2,5]=>[-3,4,2,1,5]=>[3,4,2,1,5]=>0001
[4,3,-1,2,-5]=>[-3,4,2,1,-5]=>[3,4,2,1,5]=>0001
[4,3,-1,-2,5]=>[-3,-4,2,1,5]=>[3,4,2,1,5]=>0001
[4,3,-1,-2,-5]=>[-3,-4,2,1,-5]=>[3,4,2,1,5]=>0001
[4,-3,1,2,5]=>[3,4,-2,1,5]=>[3,4,2,1,5]=>0001
[4,-3,1,2,-5]=>[3,4,-2,1,-5]=>[3,4,2,1,5]=>0001
[4,-3,1,-2,5]=>[3,-4,-2,1,5]=>[3,4,2,1,5]=>0001
[4,-3,1,-2,-5]=>[3,-4,-2,1,-5]=>[3,4,2,1,5]=>0001
[4,-3,-1,2,5]=>[-3,4,-2,1,5]=>[3,4,2,1,5]=>0001
[4,-3,-1,2,-5]=>[-3,4,-2,1,-5]=>[3,4,2,1,5]=>0001
[4,-3,-1,-2,5]=>[-3,-4,-2,1,5]=>[3,4,2,1,5]=>0001
[4,-3,-1,-2,-5]=>[-3,-4,-2,1,-5]=>[3,4,2,1,5]=>0001
[-4,3,1,2,5]=>[3,4,2,-1,5]=>[3,4,2,1,5]=>0001
[-4,3,1,2,-5]=>[3,4,2,-1,-5]=>[3,4,2,1,5]=>0001
[-4,3,1,-2,5]=>[3,-4,2,-1,5]=>[3,4,2,1,5]=>0001
[-4,3,1,-2,-5]=>[3,-4,2,-1,-5]=>[3,4,2,1,5]=>0001
[-4,3,-1,2,5]=>[-3,4,2,-1,5]=>[3,4,2,1,5]=>0001
[-4,3,-1,2,-5]=>[-3,4,2,-1,-5]=>[3,4,2,1,5]=>0001
[-4,3,-1,-2,5]=>[-3,-4,2,-1,5]=>[3,4,2,1,5]=>0001
[-4,3,-1,-2,-5]=>[-3,-4,2,-1,-5]=>[3,4,2,1,5]=>0001
[-4,-3,1,2,5]=>[3,4,-2,-1,5]=>[3,4,2,1,5]=>0001
[-4,-3,1,2,-5]=>[3,4,-2,-1,-5]=>[3,4,2,1,5]=>0001
[-4,-3,1,-2,5]=>[3,-4,-2,-1,5]=>[3,4,2,1,5]=>0001
[-4,-3,1,-2,-5]=>[3,-4,-2,-1,-5]=>[3,4,2,1,5]=>0001
[-4,-3,-1,2,5]=>[-3,4,-2,-1,5]=>[3,4,2,1,5]=>0001
[-4,-3,-1,2,-5]=>[-3,4,-2,-1,-5]=>[3,4,2,1,5]=>0001
[-4,-3,-1,-2,5]=>[-3,-4,-2,-1,5]=>[3,4,2,1,5]=>0001
[-4,-3,-1,-2,-5]=>[-3,-4,-2,-1,-5]=>[3,4,2,1,5]=>0001
[4,3,1,5,2]=>[3,5,2,1,4]=>[3,5,2,1,4]=>0000
[4,3,1,5,-2]=>[3,-5,2,1,4]=>[3,5,2,1,4]=>0000
[4,3,1,-5,2]=>[3,5,2,1,-4]=>[3,5,2,1,4]=>0000
[4,3,1,-5,-2]=>[3,-5,2,1,-4]=>[3,5,2,1,4]=>0000
[4,3,-1,5,2]=>[-3,5,2,1,4]=>[3,5,2,1,4]=>0000
[4,3,-1,5,-2]=>[-3,-5,2,1,4]=>[3,5,2,1,4]=>0000
[4,3,-1,-5,2]=>[-3,5,2,1,-4]=>[3,5,2,1,4]=>0000
[4,3,-1,-5,-2]=>[-3,-5,2,1,-4]=>[3,5,2,1,4]=>0000
[4,-3,1,5,2]=>[3,5,-2,1,4]=>[3,5,2,1,4]=>0000
[4,-3,1,5,-2]=>[3,-5,-2,1,4]=>[3,5,2,1,4]=>0000
[4,-3,1,-5,2]=>[3,5,-2,1,-4]=>[3,5,2,1,4]=>0000
[4,-3,1,-5,-2]=>[3,-5,-2,1,-4]=>[3,5,2,1,4]=>0000
[4,-3,-1,5,2]=>[-3,5,-2,1,4]=>[3,5,2,1,4]=>0000
[4,-3,-1,5,-2]=>[-3,-5,-2,1,4]=>[3,5,2,1,4]=>0000
[4,-3,-1,-5,2]=>[-3,5,-2,1,-4]=>[3,5,2,1,4]=>0000
[4,-3,-1,-5,-2]=>[-3,-5,-2,1,-4]=>[3,5,2,1,4]=>0000
[-4,3,1,5,2]=>[3,5,2,-1,4]=>[3,5,2,1,4]=>0000
[-4,3,1,5,-2]=>[3,-5,2,-1,4]=>[3,5,2,1,4]=>0000
[-4,3,1,-5,2]=>[3,5,2,-1,-4]=>[3,5,2,1,4]=>0000
[-4,3,1,-5,-2]=>[3,-5,2,-1,-4]=>[3,5,2,1,4]=>0000
[-4,3,-1,5,2]=>[-3,5,2,-1,4]=>[3,5,2,1,4]=>0000
[-4,3,-1,5,-2]=>[-3,-5,2,-1,4]=>[3,5,2,1,4]=>0000
[-4,3,-1,-5,2]=>[-3,5,2,-1,-4]=>[3,5,2,1,4]=>0000
[-4,3,-1,-5,-2]=>[-3,-5,2,-1,-4]=>[3,5,2,1,4]=>0000
[-4,-3,1,5,2]=>[3,5,-2,-1,4]=>[3,5,2,1,4]=>0000
[-4,-3,1,5,-2]=>[3,-5,-2,-1,4]=>[3,5,2,1,4]=>0000
[-4,-3,1,-5,2]=>[3,5,-2,-1,-4]=>[3,5,2,1,4]=>0000
[-4,-3,1,-5,-2]=>[3,-5,-2,-1,-4]=>[3,5,2,1,4]=>0000
[-4,-3,-1,5,2]=>[-3,5,-2,-1,4]=>[3,5,2,1,4]=>0000
[-4,-3,-1,5,-2]=>[-3,-5,-2,-1,4]=>[3,5,2,1,4]=>0000
[-4,-3,-1,-5,2]=>[-3,5,-2,-1,-4]=>[3,5,2,1,4]=>0000
[-4,-3,-1,-5,-2]=>[-3,-5,-2,-1,-4]=>[3,5,2,1,4]=>0000
[4,3,2,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>0001
[4,3,2,1,-5]=>[4,3,2,1,-5]=>[4,3,2,1,5]=>0001
[4,3,2,-1,5]=>[-4,3,2,1,5]=>[4,3,2,1,5]=>0001
[4,3,2,-1,-5]=>[-4,3,2,1,-5]=>[4,3,2,1,5]=>0001
[4,3,-2,1,5]=>[4,-3,2,1,5]=>[4,3,2,1,5]=>0001
[4,3,-2,1,-5]=>[4,-3,2,1,-5]=>[4,3,2,1,5]=>0001
[4,3,-2,-1,5]=>[-4,-3,2,1,5]=>[4,3,2,1,5]=>0001
[4,3,-2,-1,-5]=>[-4,-3,2,1,-5]=>[4,3,2,1,5]=>0001
[4,-3,2,1,5]=>[4,3,-2,1,5]=>[4,3,2,1,5]=>0001
[4,-3,2,1,-5]=>[4,3,-2,1,-5]=>[4,3,2,1,5]=>0001
[4,-3,2,-1,5]=>[-4,3,-2,1,5]=>[4,3,2,1,5]=>0001
[4,-3,2,-1,-5]=>[-4,3,-2,1,-5]=>[4,3,2,1,5]=>0001
[4,-3,-2,1,5]=>[4,-3,-2,1,5]=>[4,3,2,1,5]=>0001
[4,-3,-2,1,-5]=>[4,-3,-2,1,-5]=>[4,3,2,1,5]=>0001
[4,-3,-2,-1,5]=>[-4,-3,-2,1,5]=>[4,3,2,1,5]=>0001
[4,-3,-2,-1,-5]=>[-4,-3,-2,1,-5]=>[4,3,2,1,5]=>0001
[-4,3,2,1,5]=>[4,3,2,-1,5]=>[4,3,2,1,5]=>0001
[-4,3,2,1,-5]=>[4,3,2,-1,-5]=>[4,3,2,1,5]=>0001
[-4,3,2,-1,5]=>[-4,3,2,-1,5]=>[4,3,2,1,5]=>0001
[-4,3,2,-1,-5]=>[-4,3,2,-1,-5]=>[4,3,2,1,5]=>0001
[-4,3,-2,1,5]=>[4,-3,2,-1,5]=>[4,3,2,1,5]=>0001
[-4,3,-2,1,-5]=>[4,-3,2,-1,-5]=>[4,3,2,1,5]=>0001
[-4,3,-2,-1,5]=>[-4,-3,2,-1,5]=>[4,3,2,1,5]=>0001
[-4,3,-2,-1,-5]=>[-4,-3,2,-1,-5]=>[4,3,2,1,5]=>0001
[-4,-3,2,1,5]=>[4,3,-2,-1,5]=>[4,3,2,1,5]=>0001
[-4,-3,2,1,-5]=>[4,3,-2,-1,-5]=>[4,3,2,1,5]=>0001
[-4,-3,2,-1,5]=>[-4,3,-2,-1,5]=>[4,3,2,1,5]=>0001
[-4,-3,2,-1,-5]=>[-4,3,-2,-1,-5]=>[4,3,2,1,5]=>0001
[-4,-3,-2,1,5]=>[4,-3,-2,-1,5]=>[4,3,2,1,5]=>0001
[-4,-3,-2,1,-5]=>[4,-3,-2,-1,-5]=>[4,3,2,1,5]=>0001
[-4,-3,-2,-1,5]=>[-4,-3,-2,-1,5]=>[4,3,2,1,5]=>0001
[-4,-3,-2,-1,-5]=>[-4,-3,-2,-1,-5]=>[4,3,2,1,5]=>0001
[4,3,2,5,1]=>[5,3,2,1,4]=>[5,3,2,1,4]=>0000
[4,3,2,5,-1]=>[-5,3,2,1,4]=>[5,3,2,1,4]=>0000
[4,3,2,-5,1]=>[5,3,2,1,-4]=>[5,3,2,1,4]=>0000
[4,3,2,-5,-1]=>[-5,3,2,1,-4]=>[5,3,2,1,4]=>0000
[4,3,-2,5,1]=>[5,-3,2,1,4]=>[5,3,2,1,4]=>0000
[4,3,-2,5,-1]=>[-5,-3,2,1,4]=>[5,3,2,1,4]=>0000
[4,3,-2,-5,1]=>[5,-3,2,1,-4]=>[5,3,2,1,4]=>0000
[4,3,-2,-5,-1]=>[-5,-3,2,1,-4]=>[5,3,2,1,4]=>0000
[4,-3,2,5,1]=>[5,3,-2,1,4]=>[5,3,2,1,4]=>0000
[4,-3,2,5,-1]=>[-5,3,-2,1,4]=>[5,3,2,1,4]=>0000
[4,-3,2,-5,1]=>[5,3,-2,1,-4]=>[5,3,2,1,4]=>0000
[4,-3,2,-5,-1]=>[-5,3,-2,1,-4]=>[5,3,2,1,4]=>0000
[4,-3,-2,5,1]=>[5,-3,-2,1,4]=>[5,3,2,1,4]=>0000
[4,-3,-2,5,-1]=>[-5,-3,-2,1,4]=>[5,3,2,1,4]=>0000
[4,-3,-2,-5,1]=>[5,-3,-2,1,-4]=>[5,3,2,1,4]=>0000
[4,-3,-2,-5,-1]=>[-5,-3,-2,1,-4]=>[5,3,2,1,4]=>0000
[-4,3,2,5,1]=>[5,3,2,-1,4]=>[5,3,2,1,4]=>0000
[-4,3,2,5,-1]=>[-5,3,2,-1,4]=>[5,3,2,1,4]=>0000
[-4,3,2,-5,1]=>[5,3,2,-1,-4]=>[5,3,2,1,4]=>0000
[-4,3,2,-5,-1]=>[-5,3,2,-1,-4]=>[5,3,2,1,4]=>0000
[-4,3,-2,5,1]=>[5,-3,2,-1,4]=>[5,3,2,1,4]=>0000
[-4,3,-2,5,-1]=>[-5,-3,2,-1,4]=>[5,3,2,1,4]=>0000
[-4,3,-2,-5,1]=>[5,-3,2,-1,-4]=>[5,3,2,1,4]=>0000
[-4,3,-2,-5,-1]=>[-5,-3,2,-1,-4]=>[5,3,2,1,4]=>0000
[-4,-3,2,5,1]=>[5,3,-2,-1,4]=>[5,3,2,1,4]=>0000
[-4,-3,2,5,-1]=>[-5,3,-2,-1,4]=>[5,3,2,1,4]=>0000
[-4,-3,2,-5,1]=>[5,3,-2,-1,-4]=>[5,3,2,1,4]=>0000
[-4,-3,2,-5,-1]=>[-5,3,-2,-1,-4]=>[5,3,2,1,4]=>0000
[-4,-3,-2,5,1]=>[5,-3,-2,-1,4]=>[5,3,2,1,4]=>0000
[-4,-3,-2,5,-1]=>[-5,-3,-2,-1,4]=>[5,3,2,1,4]=>0000
[-4,-3,-2,-5,1]=>[5,-3,-2,-1,-4]=>[5,3,2,1,4]=>0000
[-4,-3,-2,-5,-1]=>[-5,-3,-2,-1,-4]=>[5,3,2,1,4]=>0000
[4,3,5,1,2]=>[4,5,2,1,3]=>[4,5,2,1,3]=>0000
[4,3,5,1,-2]=>[4,-5,2,1,3]=>[4,5,2,1,3]=>0000
[4,3,5,-1,2]=>[-4,5,2,1,3]=>[4,5,2,1,3]=>0000
[4,3,5,-1,-2]=>[-4,-5,2,1,3]=>[4,5,2,1,3]=>0000
[4,3,-5,1,2]=>[4,5,2,1,-3]=>[4,5,2,1,3]=>0000
[4,3,-5,1,-2]=>[4,-5,2,1,-3]=>[4,5,2,1,3]=>0000
[4,3,-5,-1,2]=>[-4,5,2,1,-3]=>[4,5,2,1,3]=>0000
[4,3,-5,-1,-2]=>[-4,-5,2,1,-3]=>[4,5,2,1,3]=>0000
[4,-3,5,1,2]=>[4,5,-2,1,3]=>[4,5,2,1,3]=>0000
[4,-3,5,1,-2]=>[4,-5,-2,1,3]=>[4,5,2,1,3]=>0000
[4,-3,5,-1,2]=>[-4,5,-2,1,3]=>[4,5,2,1,3]=>0000
[4,-3,5,-1,-2]=>[-4,-5,-2,1,3]=>[4,5,2,1,3]=>0000
[4,-3,-5,1,2]=>[4,5,-2,1,-3]=>[4,5,2,1,3]=>0000
[4,-3,-5,1,-2]=>[4,-5,-2,1,-3]=>[4,5,2,1,3]=>0000
[4,-3,-5,-1,2]=>[-4,5,-2,1,-3]=>[4,5,2,1,3]=>0000
[4,-3,-5,-1,-2]=>[-4,-5,-2,1,-3]=>[4,5,2,1,3]=>0000
[-4,3,5,1,2]=>[4,5,2,-1,3]=>[4,5,2,1,3]=>0000
[-4,3,5,1,-2]=>[4,-5,2,-1,3]=>[4,5,2,1,3]=>0000
[-4,3,5,-1,2]=>[-4,5,2,-1,3]=>[4,5,2,1,3]=>0000
[-4,3,5,-1,-2]=>[-4,-5,2,-1,3]=>[4,5,2,1,3]=>0000
[-4,3,-5,1,2]=>[4,5,2,-1,-3]=>[4,5,2,1,3]=>0000
[-4,3,-5,1,-2]=>[4,-5,2,-1,-3]=>[4,5,2,1,3]=>0000
[-4,3,-5,-1,2]=>[-4,5,2,-1,-3]=>[4,5,2,1,3]=>0000
[-4,3,-5,-1,-2]=>[-4,-5,2,-1,-3]=>[4,5,2,1,3]=>0000
[-4,-3,5,1,2]=>[4,5,-2,-1,3]=>[4,5,2,1,3]=>0000
[-4,-3,5,1,-2]=>[4,-5,-2,-1,3]=>[4,5,2,1,3]=>0000
[-4,-3,5,-1,2]=>[-4,5,-2,-1,3]=>[4,5,2,1,3]=>0000
[-4,-3,5,-1,-2]=>[-4,-5,-2,-1,3]=>[4,5,2,1,3]=>0000
[-4,-3,-5,1,2]=>[4,5,-2,-1,-3]=>[4,5,2,1,3]=>0000
[-4,-3,-5,1,-2]=>[4,-5,-2,-1,-3]=>[4,5,2,1,3]=>0000
[-4,-3,-5,-1,2]=>[-4,5,-2,-1,-3]=>[4,5,2,1,3]=>0000
[-4,-3,-5,-1,-2]=>[-4,-5,-2,-1,-3]=>[4,5,2,1,3]=>0000
[4,3,5,2,1]=>[5,4,2,1,3]=>[5,4,2,1,3]=>0000
[4,3,5,2,-1]=>[-5,4,2,1,3]=>[5,4,2,1,3]=>0000
[4,3,5,-2,1]=>[5,-4,2,1,3]=>[5,4,2,1,3]=>0000
[4,3,5,-2,-1]=>[-5,-4,2,1,3]=>[5,4,2,1,3]=>0000
[4,3,-5,2,1]=>[5,4,2,1,-3]=>[5,4,2,1,3]=>0000
[4,3,-5,2,-1]=>[-5,4,2,1,-3]=>[5,4,2,1,3]=>0000
[4,3,-5,-2,1]=>[5,-4,2,1,-3]=>[5,4,2,1,3]=>0000
[4,3,-5,-2,-1]=>[-5,-4,2,1,-3]=>[5,4,2,1,3]=>0000
[4,-3,5,2,1]=>[5,4,-2,1,3]=>[5,4,2,1,3]=>0000
[4,-3,5,2,-1]=>[-5,4,-2,1,3]=>[5,4,2,1,3]=>0000
[4,-3,5,-2,1]=>[5,-4,-2,1,3]=>[5,4,2,1,3]=>0000
[4,-3,5,-2,-1]=>[-5,-4,-2,1,3]=>[5,4,2,1,3]=>0000
[4,-3,-5,2,1]=>[5,4,-2,1,-3]=>[5,4,2,1,3]=>0000
[4,-3,-5,2,-1]=>[-5,4,-2,1,-3]=>[5,4,2,1,3]=>0000
[4,-3,-5,-2,1]=>[5,-4,-2,1,-3]=>[5,4,2,1,3]=>0000
[4,-3,-5,-2,-1]=>[-5,-4,-2,1,-3]=>[5,4,2,1,3]=>0000
[-4,3,5,2,1]=>[5,4,2,-1,3]=>[5,4,2,1,3]=>0000
[-4,3,5,2,-1]=>[-5,4,2,-1,3]=>[5,4,2,1,3]=>0000
[-4,3,5,-2,1]=>[5,-4,2,-1,3]=>[5,4,2,1,3]=>0000
[-4,3,5,-2,-1]=>[-5,-4,2,-1,3]=>[5,4,2,1,3]=>0000
[-4,3,-5,2,1]=>[5,4,2,-1,-3]=>[5,4,2,1,3]=>0000
[-4,3,-5,2,-1]=>[-5,4,2,-1,-3]=>[5,4,2,1,3]=>0000
[-4,3,-5,-2,1]=>[5,-4,2,-1,-3]=>[5,4,2,1,3]=>0000
[-4,3,-5,-2,-1]=>[-5,-4,2,-1,-3]=>[5,4,2,1,3]=>0000
[-4,-3,5,2,1]=>[5,4,-2,-1,3]=>[5,4,2,1,3]=>0000
[-4,-3,5,2,-1]=>[-5,4,-2,-1,3]=>[5,4,2,1,3]=>0000
[-4,-3,5,-2,1]=>[5,-4,-2,-1,3]=>[5,4,2,1,3]=>0000
[-4,-3,5,-2,-1]=>[-5,-4,-2,-1,3]=>[5,4,2,1,3]=>0000
[-4,-3,-5,2,1]=>[5,4,-2,-1,-3]=>[5,4,2,1,3]=>0000
[-4,-3,-5,2,-1]=>[-5,4,-2,-1,-3]=>[5,4,2,1,3]=>0000
[-4,-3,-5,-2,1]=>[5,-4,-2,-1,-3]=>[5,4,2,1,3]=>0000
[-4,-3,-5,-2,-1]=>[-5,-4,-2,-1,-3]=>[5,4,2,1,3]=>0000
[4,5,1,2,3]=>[3,4,5,1,2]=>[3,4,5,1,2]=>0000
[4,5,1,2,-3]=>[3,4,-5,1,2]=>[3,4,5,1,2]=>0000
[4,5,1,-2,3]=>[3,-4,5,1,2]=>[3,4,5,1,2]=>0000
[4,5,1,-2,-3]=>[3,-4,-5,1,2]=>[3,4,5,1,2]=>0000
[4,5,-1,2,3]=>[-3,4,5,1,2]=>[3,4,5,1,2]=>0000
[4,5,-1,2,-3]=>[-3,4,-5,1,2]=>[3,4,5,1,2]=>0000
[4,5,-1,-2,3]=>[-3,-4,5,1,2]=>[3,4,5,1,2]=>0000
[4,5,-1,-2,-3]=>[-3,-4,-5,1,2]=>[3,4,5,1,2]=>0000
[4,-5,1,2,3]=>[3,4,5,1,-2]=>[3,4,5,1,2]=>0000
[4,-5,1,2,-3]=>[3,4,-5,1,-2]=>[3,4,5,1,2]=>0000
[4,-5,1,-2,3]=>[3,-4,5,1,-2]=>[3,4,5,1,2]=>0000
[4,-5,1,-2,-3]=>[3,-4,-5,1,-2]=>[3,4,5,1,2]=>0000
[4,-5,-1,2,3]=>[-3,4,5,1,-2]=>[3,4,5,1,2]=>0000
[4,-5,-1,2,-3]=>[-3,4,-5,1,-2]=>[3,4,5,1,2]=>0000
[4,-5,-1,-2,3]=>[-3,-4,5,1,-2]=>[3,4,5,1,2]=>0000
[4,-5,-1,-2,-3]=>[-3,-4,-5,1,-2]=>[3,4,5,1,2]=>0000
[-4,5,1,2,3]=>[3,4,5,-1,2]=>[3,4,5,1,2]=>0000
[-4,5,1,2,-3]=>[3,4,-5,-1,2]=>[3,4,5,1,2]=>0000
[-4,5,1,-2,3]=>[3,-4,5,-1,2]=>[3,4,5,1,2]=>0000
[-4,5,1,-2,-3]=>[3,-4,-5,-1,2]=>[3,4,5,1,2]=>0000
[-4,5,-1,2,3]=>[-3,4,5,-1,2]=>[3,4,5,1,2]=>0000
[-4,5,-1,2,-3]=>[-3,4,-5,-1,2]=>[3,4,5,1,2]=>0000
[-4,5,-1,-2,3]=>[-3,-4,5,-1,2]=>[3,4,5,1,2]=>0000
[-4,5,-1,-2,-3]=>[-3,-4,-5,-1,2]=>[3,4,5,1,2]=>0000
[-4,-5,1,2,3]=>[3,4,5,-1,-2]=>[3,4,5,1,2]=>0000
[-4,-5,1,2,-3]=>[3,4,-5,-1,-2]=>[3,4,5,1,2]=>0000
[-4,-5,1,-2,3]=>[3,-4,5,-1,-2]=>[3,4,5,1,2]=>0000
[-4,-5,1,-2,-3]=>[3,-4,-5,-1,-2]=>[3,4,5,1,2]=>0000
[-4,-5,-1,2,3]=>[-3,4,5,-1,-2]=>[3,4,5,1,2]=>0000
[-4,-5,-1,2,-3]=>[-3,4,-5,-1,-2]=>[3,4,5,1,2]=>0000
[-4,-5,-1,-2,3]=>[-3,-4,5,-1,-2]=>[3,4,5,1,2]=>0000
[-4,-5,-1,-2,-3]=>[-3,-4,-5,-1,-2]=>[3,4,5,1,2]=>0000
[4,5,1,3,2]=>[3,5,4,1,2]=>[3,5,4,1,2]=>0000
[4,5,1,3,-2]=>[3,-5,4,1,2]=>[3,5,4,1,2]=>0000
[4,5,1,-3,2]=>[3,5,-4,1,2]=>[3,5,4,1,2]=>0000
[4,5,1,-3,-2]=>[3,-5,-4,1,2]=>[3,5,4,1,2]=>0000
[4,5,-1,3,2]=>[-3,5,4,1,2]=>[3,5,4,1,2]=>0000
[4,5,-1,3,-2]=>[-3,-5,4,1,2]=>[3,5,4,1,2]=>0000
[4,5,-1,-3,2]=>[-3,5,-4,1,2]=>[3,5,4,1,2]=>0000
[4,5,-1,-3,-2]=>[-3,-5,-4,1,2]=>[3,5,4,1,2]=>0000
[4,-5,1,3,2]=>[3,5,4,1,-2]=>[3,5,4,1,2]=>0000
[4,-5,1,3,-2]=>[3,-5,4,1,-2]=>[3,5,4,1,2]=>0000
[4,-5,1,-3,2]=>[3,5,-4,1,-2]=>[3,5,4,1,2]=>0000
[4,-5,1,-3,-2]=>[3,-5,-4,1,-2]=>[3,5,4,1,2]=>0000
[4,-5,-1,3,2]=>[-3,5,4,1,-2]=>[3,5,4,1,2]=>0000
[4,-5,-1,3,-2]=>[-3,-5,4,1,-2]=>[3,5,4,1,2]=>0000
[4,-5,-1,-3,2]=>[-3,5,-4,1,-2]=>[3,5,4,1,2]=>0000
[4,-5,-1,-3,-2]=>[-3,-5,-4,1,-2]=>[3,5,4,1,2]=>0000
[-4,5,1,3,2]=>[3,5,4,-1,2]=>[3,5,4,1,2]=>0000
[-4,5,1,3,-2]=>[3,-5,4,-1,2]=>[3,5,4,1,2]=>0000
[-4,5,1,-3,2]=>[3,5,-4,-1,2]=>[3,5,4,1,2]=>0000
[-4,5,1,-3,-2]=>[3,-5,-4,-1,2]=>[3,5,4,1,2]=>0000
[-4,5,-1,3,2]=>[-3,5,4,-1,2]=>[3,5,4,1,2]=>0000
[-4,5,-1,3,-2]=>[-3,-5,4,-1,2]=>[3,5,4,1,2]=>0000
[-4,5,-1,-3,2]=>[-3,5,-4,-1,2]=>[3,5,4,1,2]=>0000
[-4,5,-1,-3,-2]=>[-3,-5,-4,-1,2]=>[3,5,4,1,2]=>0000
[-4,-5,1,3,2]=>[3,5,4,-1,-2]=>[3,5,4,1,2]=>0000
[-4,-5,1,3,-2]=>[3,-5,4,-1,-2]=>[3,5,4,1,2]=>0000
[-4,-5,1,-3,2]=>[3,5,-4,-1,-2]=>[3,5,4,1,2]=>0000
[-4,-5,1,-3,-2]=>[3,-5,-4,-1,-2]=>[3,5,4,1,2]=>0000
[-4,-5,-1,3,2]=>[-3,5,4,-1,-2]=>[3,5,4,1,2]=>0000
[-4,-5,-1,3,-2]=>[-3,-5,4,-1,-2]=>[3,5,4,1,2]=>0000
[-4,-5,-1,-3,2]=>[-3,5,-4,-1,-2]=>[3,5,4,1,2]=>0000
[-4,-5,-1,-3,-2]=>[-3,-5,-4,-1,-2]=>[3,5,4,1,2]=>0000
[4,5,2,1,3]=>[4,3,5,1,2]=>[4,3,5,1,2]=>0000
[4,5,2,1,-3]=>[4,3,-5,1,2]=>[4,3,5,1,2]=>0000
[4,5,2,-1,3]=>[-4,3,5,1,2]=>[4,3,5,1,2]=>0000
[4,5,2,-1,-3]=>[-4,3,-5,1,2]=>[4,3,5,1,2]=>0000
[4,5,-2,1,3]=>[4,-3,5,1,2]=>[4,3,5,1,2]=>0000
[4,5,-2,1,-3]=>[4,-3,-5,1,2]=>[4,3,5,1,2]=>0000
[4,5,-2,-1,3]=>[-4,-3,5,1,2]=>[4,3,5,1,2]=>0000
[4,5,-2,-1,-3]=>[-4,-3,-5,1,2]=>[4,3,5,1,2]=>0000
[4,-5,2,1,3]=>[4,3,5,1,-2]=>[4,3,5,1,2]=>0000
[4,-5,2,1,-3]=>[4,3,-5,1,-2]=>[4,3,5,1,2]=>0000
[4,-5,2,-1,3]=>[-4,3,5,1,-2]=>[4,3,5,1,2]=>0000
[4,-5,2,-1,-3]=>[-4,3,-5,1,-2]=>[4,3,5,1,2]=>0000
[4,-5,-2,1,3]=>[4,-3,5,1,-2]=>[4,3,5,1,2]=>0000
[4,-5,-2,1,-3]=>[4,-3,-5,1,-2]=>[4,3,5,1,2]=>0000
[4,-5,-2,-1,3]=>[-4,-3,5,1,-2]=>[4,3,5,1,2]=>0000
[4,-5,-2,-1,-3]=>[-4,-3,-5,1,-2]=>[4,3,5,1,2]=>0000
[-4,5,2,1,3]=>[4,3,5,-1,2]=>[4,3,5,1,2]=>0000
[-4,5,2,1,-3]=>[4,3,-5,-1,2]=>[4,3,5,1,2]=>0000
[-4,5,2,-1,3]=>[-4,3,5,-1,2]=>[4,3,5,1,2]=>0000
[-4,5,2,-1,-3]=>[-4,3,-5,-1,2]=>[4,3,5,1,2]=>0000
[-4,5,-2,1,3]=>[4,-3,5,-1,2]=>[4,3,5,1,2]=>0000
[-4,5,-2,1,-3]=>[4,-3,-5,-1,2]=>[4,3,5,1,2]=>0000
[-4,5,-2,-1,3]=>[-4,-3,5,-1,2]=>[4,3,5,1,2]=>0000
[-4,5,-2,-1,-3]=>[-4,-3,-5,-1,2]=>[4,3,5,1,2]=>0000
[-4,-5,2,1,3]=>[4,3,5,-1,-2]=>[4,3,5,1,2]=>0000
[-4,-5,2,1,-3]=>[4,3,-5,-1,-2]=>[4,3,5,1,2]=>0000
[-4,-5,2,-1,3]=>[-4,3,5,-1,-2]=>[4,3,5,1,2]=>0000
[-4,-5,2,-1,-3]=>[-4,3,-5,-1,-2]=>[4,3,5,1,2]=>0000
[-4,-5,-2,1,3]=>[4,-3,5,-1,-2]=>[4,3,5,1,2]=>0000
[-4,-5,-2,1,-3]=>[4,-3,-5,-1,-2]=>[4,3,5,1,2]=>0000
[-4,-5,-2,-1,3]=>[-4,-3,5,-1,-2]=>[4,3,5,1,2]=>0000
[-4,-5,-2,-1,-3]=>[-4,-3,-5,-1,-2]=>[4,3,5,1,2]=>0000
[4,5,2,3,1]=>[5,3,4,1,2]=>[5,3,4,1,2]=>0000
[4,5,2,3,-1]=>[-5,3,4,1,2]=>[5,3,4,1,2]=>0000
[4,5,2,-3,1]=>[5,3,-4,1,2]=>[5,3,4,1,2]=>0000
[4,5,2,-3,-1]=>[-5,3,-4,1,2]=>[5,3,4,1,2]=>0000
[4,5,-2,3,1]=>[5,-3,4,1,2]=>[5,3,4,1,2]=>0000
[4,5,-2,3,-1]=>[-5,-3,4,1,2]=>[5,3,4,1,2]=>0000
[4,5,-2,-3,1]=>[5,-3,-4,1,2]=>[5,3,4,1,2]=>0000
[4,5,-2,-3,-1]=>[-5,-3,-4,1,2]=>[5,3,4,1,2]=>0000
[4,-5,2,3,1]=>[5,3,4,1,-2]=>[5,3,4,1,2]=>0000
[4,-5,2,3,-1]=>[-5,3,4,1,-2]=>[5,3,4,1,2]=>0000
[4,-5,2,-3,1]=>[5,3,-4,1,-2]=>[5,3,4,1,2]=>0000
[4,-5,2,-3,-1]=>[-5,3,-4,1,-2]=>[5,3,4,1,2]=>0000
[4,-5,-2,3,1]=>[5,-3,4,1,-2]=>[5,3,4,1,2]=>0000
[4,-5,-2,3,-1]=>[-5,-3,4,1,-2]=>[5,3,4,1,2]=>0000
[4,-5,-2,-3,1]=>[5,-3,-4,1,-2]=>[5,3,4,1,2]=>0000
[4,-5,-2,-3,-1]=>[-5,-3,-4,1,-2]=>[5,3,4,1,2]=>0000
[-4,5,2,3,1]=>[5,3,4,-1,2]=>[5,3,4,1,2]=>0000
[-4,5,2,3,-1]=>[-5,3,4,-1,2]=>[5,3,4,1,2]=>0000
[-4,5,2,-3,1]=>[5,3,-4,-1,2]=>[5,3,4,1,2]=>0000
[-4,5,2,-3,-1]=>[-5,3,-4,-1,2]=>[5,3,4,1,2]=>0000
[-4,5,-2,3,1]=>[5,-3,4,-1,2]=>[5,3,4,1,2]=>0000
[-4,5,-2,3,-1]=>[-5,-3,4,-1,2]=>[5,3,4,1,2]=>0000
[-4,5,-2,-3,1]=>[5,-3,-4,-1,2]=>[5,3,4,1,2]=>0000
[-4,5,-2,-3,-1]=>[-5,-3,-4,-1,2]=>[5,3,4,1,2]=>0000
[-4,-5,2,3,1]=>[5,3,4,-1,-2]=>[5,3,4,1,2]=>0000
[-4,-5,2,3,-1]=>[-5,3,4,-1,-2]=>[5,3,4,1,2]=>0000
[-4,-5,2,-3,1]=>[5,3,-4,-1,-2]=>[5,3,4,1,2]=>0000
[-4,-5,2,-3,-1]=>[-5,3,-4,-1,-2]=>[5,3,4,1,2]=>0000
[-4,-5,-2,3,1]=>[5,-3,4,-1,-2]=>[5,3,4,1,2]=>0000
[-4,-5,-2,3,-1]=>[-5,-3,4,-1,-2]=>[5,3,4,1,2]=>0000
[-4,-5,-2,-3,1]=>[5,-3,-4,-1,-2]=>[5,3,4,1,2]=>0000
[-4,-5,-2,-3,-1]=>[-5,-3,-4,-1,-2]=>[5,3,4,1,2]=>0000
[4,5,3,1,2]=>[4,5,3,1,2]=>[4,5,3,1,2]=>0000
[4,5,3,1,-2]=>[4,-5,3,1,2]=>[4,5,3,1,2]=>0000
[4,5,3,-1,2]=>[-4,5,3,1,2]=>[4,5,3,1,2]=>0000
[4,5,3,-1,-2]=>[-4,-5,3,1,2]=>[4,5,3,1,2]=>0000
[4,5,-3,1,2]=>[4,5,-3,1,2]=>[4,5,3,1,2]=>0000
[4,5,-3,1,-2]=>[4,-5,-3,1,2]=>[4,5,3,1,2]=>0000
[4,5,-3,-1,2]=>[-4,5,-3,1,2]=>[4,5,3,1,2]=>0000
[4,5,-3,-1,-2]=>[-4,-5,-3,1,2]=>[4,5,3,1,2]=>0000
[4,-5,3,1,2]=>[4,5,3,1,-2]=>[4,5,3,1,2]=>0000
[4,-5,3,1,-2]=>[4,-5,3,1,-2]=>[4,5,3,1,2]=>0000
[4,-5,3,-1,2]=>[-4,5,3,1,-2]=>[4,5,3,1,2]=>0000
[4,-5,3,-1,-2]=>[-4,-5,3,1,-2]=>[4,5,3,1,2]=>0000
[4,-5,-3,1,2]=>[4,5,-3,1,-2]=>[4,5,3,1,2]=>0000
[4,-5,-3,1,-2]=>[4,-5,-3,1,-2]=>[4,5,3,1,2]=>0000
[4,-5,-3,-1,2]=>[-4,5,-3,1,-2]=>[4,5,3,1,2]=>0000
[4,-5,-3,-1,-2]=>[-4,-5,-3,1,-2]=>[4,5,3,1,2]=>0000
[-4,5,3,1,2]=>[4,5,3,-1,2]=>[4,5,3,1,2]=>0000
[-4,5,3,1,-2]=>[4,-5,3,-1,2]=>[4,5,3,1,2]=>0000
[-4,5,3,-1,2]=>[-4,5,3,-1,2]=>[4,5,3,1,2]=>0000
[-4,5,3,-1,-2]=>[-4,-5,3,-1,2]=>[4,5,3,1,2]=>0000
[-4,5,-3,1,2]=>[4,5,-3,-1,2]=>[4,5,3,1,2]=>0000
[-4,5,-3,1,-2]=>[4,-5,-3,-1,2]=>[4,5,3,1,2]=>0000
[-4,5,-3,-1,2]=>[-4,5,-3,-1,2]=>[4,5,3,1,2]=>0000
[-4,5,-3,-1,-2]=>[-4,-5,-3,-1,2]=>[4,5,3,1,2]=>0000
[-4,-5,3,1,2]=>[4,5,3,-1,-2]=>[4,5,3,1,2]=>0000
[-4,-5,3,1,-2]=>[4,-5,3,-1,-2]=>[4,5,3,1,2]=>0000
[-4,-5,3,-1,2]=>[-4,5,3,-1,-2]=>[4,5,3,1,2]=>0000
[-4,-5,3,-1,-2]=>[-4,-5,3,-1,-2]=>[4,5,3,1,2]=>0000
[-4,-5,-3,1,2]=>[4,5,-3,-1,-2]=>[4,5,3,1,2]=>0000
[-4,-5,-3,1,-2]=>[4,-5,-3,-1,-2]=>[4,5,3,1,2]=>0000
[-4,-5,-3,-1,2]=>[-4,5,-3,-1,-2]=>[4,5,3,1,2]=>0000
[-4,-5,-3,-1,-2]=>[-4,-5,-3,-1,-2]=>[4,5,3,1,2]=>0000
[4,5,3,2,1]=>[5,4,3,1,2]=>[5,4,3,1,2]=>0000
[4,5,3,2,-1]=>[-5,4,3,1,2]=>[5,4,3,1,2]=>0000
[4,5,3,-2,1]=>[5,-4,3,1,2]=>[5,4,3,1,2]=>0000
[4,5,3,-2,-1]=>[-5,-4,3,1,2]=>[5,4,3,1,2]=>0000
[4,5,-3,2,1]=>[5,4,-3,1,2]=>[5,4,3,1,2]=>0000
[4,5,-3,2,-1]=>[-5,4,-3,1,2]=>[5,4,3,1,2]=>0000
[4,5,-3,-2,1]=>[5,-4,-3,1,2]=>[5,4,3,1,2]=>0000
[4,5,-3,-2,-1]=>[-5,-4,-3,1,2]=>[5,4,3,1,2]=>0000
[4,-5,3,2,1]=>[5,4,3,1,-2]=>[5,4,3,1,2]=>0000
[4,-5,3,2,-1]=>[-5,4,3,1,-2]=>[5,4,3,1,2]=>0000
[4,-5,3,-2,1]=>[5,-4,3,1,-2]=>[5,4,3,1,2]=>0000
[4,-5,3,-2,-1]=>[-5,-4,3,1,-2]=>[5,4,3,1,2]=>0000
[4,-5,-3,2,1]=>[5,4,-3,1,-2]=>[5,4,3,1,2]=>0000
[4,-5,-3,2,-1]=>[-5,4,-3,1,-2]=>[5,4,3,1,2]=>0000
[4,-5,-3,-2,1]=>[5,-4,-3,1,-2]=>[5,4,3,1,2]=>0000
[4,-5,-3,-2,-1]=>[-5,-4,-3,1,-2]=>[5,4,3,1,2]=>0000
[-4,5,3,2,1]=>[5,4,3,-1,2]=>[5,4,3,1,2]=>0000
[-4,5,3,2,-1]=>[-5,4,3,-1,2]=>[5,4,3,1,2]=>0000
[-4,5,3,-2,1]=>[5,-4,3,-1,2]=>[5,4,3,1,2]=>0000
[-4,5,3,-2,-1]=>[-5,-4,3,-1,2]=>[5,4,3,1,2]=>0000
[-4,5,-3,2,1]=>[5,4,-3,-1,2]=>[5,4,3,1,2]=>0000
[-4,5,-3,2,-1]=>[-5,4,-3,-1,2]=>[5,4,3,1,2]=>0000
[-4,5,-3,-2,1]=>[5,-4,-3,-1,2]=>[5,4,3,1,2]=>0000
[-4,5,-3,-2,-1]=>[-5,-4,-3,-1,2]=>[5,4,3,1,2]=>0000
[-4,-5,3,2,1]=>[5,4,3,-1,-2]=>[5,4,3,1,2]=>0000
[-4,-5,3,2,-1]=>[-5,4,3,-1,-2]=>[5,4,3,1,2]=>0000
[-4,-5,3,-2,1]=>[5,-4,3,-1,-2]=>[5,4,3,1,2]=>0000
[-4,-5,3,-2,-1]=>[-5,-4,3,-1,-2]=>[5,4,3,1,2]=>0000
[-4,-5,-3,2,1]=>[5,4,-3,-1,-2]=>[5,4,3,1,2]=>0000
[-4,-5,-3,2,-1]=>[-5,4,-3,-1,-2]=>[5,4,3,1,2]=>0000
[-4,-5,-3,-2,1]=>[5,-4,-3,-1,-2]=>[5,4,3,1,2]=>0000
[-4,-5,-3,-2,-1]=>[-5,-4,-3,-1,-2]=>[5,4,3,1,2]=>0000
[5,1,2,3,4]=>[2,3,4,5,1]=>[2,3,4,5,1]=>0000
[5,1,2,3,-4]=>[2,3,4,-5,1]=>[2,3,4,5,1]=>0000
[5,1,2,-3,4]=>[2,3,-4,5,1]=>[2,3,4,5,1]=>0000
[5,1,2,-3,-4]=>[2,3,-4,-5,1]=>[2,3,4,5,1]=>0000
[5,1,-2,3,4]=>[2,-3,4,5,1]=>[2,3,4,5,1]=>0000
[5,1,-2,3,-4]=>[2,-3,4,-5,1]=>[2,3,4,5,1]=>0000
[5,1,-2,-3,4]=>[2,-3,-4,5,1]=>[2,3,4,5,1]=>0000
[5,1,-2,-3,-4]=>[2,-3,-4,-5,1]=>[2,3,4,5,1]=>0000
[5,-1,2,3,4]=>[-2,3,4,5,1]=>[2,3,4,5,1]=>0000
[5,-1,2,3,-4]=>[-2,3,4,-5,1]=>[2,3,4,5,1]=>0000
[5,-1,2,-3,4]=>[-2,3,-4,5,1]=>[2,3,4,5,1]=>0000
[5,-1,2,-3,-4]=>[-2,3,-4,-5,1]=>[2,3,4,5,1]=>0000
[5,-1,-2,3,4]=>[-2,-3,4,5,1]=>[2,3,4,5,1]=>0000
[5,-1,-2,3,-4]=>[-2,-3,4,-5,1]=>[2,3,4,5,1]=>0000
[5,-1,-2,-3,4]=>[-2,-3,-4,5,1]=>[2,3,4,5,1]=>0000
[5,-1,-2,-3,-4]=>[-2,-3,-4,-5,1]=>[2,3,4,5,1]=>0000
[-5,1,2,3,4]=>[2,3,4,5,-1]=>[2,3,4,5,1]=>0000
[-5,1,2,3,-4]=>[2,3,4,-5,-1]=>[2,3,4,5,1]=>0000
[-5,1,2,-3,4]=>[2,3,-4,5,-1]=>[2,3,4,5,1]=>0000
[-5,1,2,-3,-4]=>[2,3,-4,-5,-1]=>[2,3,4,5,1]=>0000
[-5,1,-2,3,4]=>[2,-3,4,5,-1]=>[2,3,4,5,1]=>0000
[-5,1,-2,3,-4]=>[2,-3,4,-5,-1]=>[2,3,4,5,1]=>0000
[-5,1,-2,-3,4]=>[2,-3,-4,5,-1]=>[2,3,4,5,1]=>0000
[-5,1,-2,-3,-4]=>[2,-3,-4,-5,-1]=>[2,3,4,5,1]=>0000
[-5,-1,2,3,4]=>[-2,3,4,5,-1]=>[2,3,4,5,1]=>0000
[-5,-1,2,3,-4]=>[-2,3,4,-5,-1]=>[2,3,4,5,1]=>0000
[-5,-1,2,-3,4]=>[-2,3,-4,5,-1]=>[2,3,4,5,1]=>0000
[-5,-1,2,-3,-4]=>[-2,3,-4,-5,-1]=>[2,3,4,5,1]=>0000
[-5,-1,-2,3,4]=>[-2,-3,4,5,-1]=>[2,3,4,5,1]=>0000
[-5,-1,-2,3,-4]=>[-2,-3,4,-5,-1]=>[2,3,4,5,1]=>0000
[-5,-1,-2,-3,4]=>[-2,-3,-4,5,-1]=>[2,3,4,5,1]=>0000
[-5,-1,-2,-3,-4]=>[-2,-3,-4,-5,-1]=>[2,3,4,5,1]=>0000
[5,1,2,4,3]=>[2,3,5,4,1]=>[2,3,5,4,1]=>0000
[5,1,2,4,-3]=>[2,3,-5,4,1]=>[2,3,5,4,1]=>0000
[5,1,2,-4,3]=>[2,3,5,-4,1]=>[2,3,5,4,1]=>0000
[5,1,2,-4,-3]=>[2,3,-5,-4,1]=>[2,3,5,4,1]=>0000
[5,1,-2,4,3]=>[2,-3,5,4,1]=>[2,3,5,4,1]=>0000
[5,1,-2,4,-3]=>[2,-3,-5,4,1]=>[2,3,5,4,1]=>0000
[5,1,-2,-4,3]=>[2,-3,5,-4,1]=>[2,3,5,4,1]=>0000
[5,1,-2,-4,-3]=>[2,-3,-5,-4,1]=>[2,3,5,4,1]=>0000
[5,-1,2,4,3]=>[-2,3,5,4,1]=>[2,3,5,4,1]=>0000
[5,-1,2,4,-3]=>[-2,3,-5,4,1]=>[2,3,5,4,1]=>0000
[5,-1,2,-4,3]=>[-2,3,5,-4,1]=>[2,3,5,4,1]=>0000
[5,-1,2,-4,-3]=>[-2,3,-5,-4,1]=>[2,3,5,4,1]=>0000
[5,-1,-2,4,3]=>[-2,-3,5,4,1]=>[2,3,5,4,1]=>0000
[5,-1,-2,4,-3]=>[-2,-3,-5,4,1]=>[2,3,5,4,1]=>0000
[5,-1,-2,-4,3]=>[-2,-3,5,-4,1]=>[2,3,5,4,1]=>0000
[5,-1,-2,-4,-3]=>[-2,-3,-5,-4,1]=>[2,3,5,4,1]=>0000
[-5,1,2,4,3]=>[2,3,5,4,-1]=>[2,3,5,4,1]=>0000
[-5,1,2,4,-3]=>[2,3,-5,4,-1]=>[2,3,5,4,1]=>0000
[-5,1,2,-4,3]=>[2,3,5,-4,-1]=>[2,3,5,4,1]=>0000
[-5,1,2,-4,-3]=>[2,3,-5,-4,-1]=>[2,3,5,4,1]=>0000
[-5,1,-2,4,3]=>[2,-3,5,4,-1]=>[2,3,5,4,1]=>0000
[-5,1,-2,4,-3]=>[2,-3,-5,4,-1]=>[2,3,5,4,1]=>0000
[-5,1,-2,-4,3]=>[2,-3,5,-4,-1]=>[2,3,5,4,1]=>0000
[-5,1,-2,-4,-3]=>[2,-3,-5,-4,-1]=>[2,3,5,4,1]=>0000
[-5,-1,2,4,3]=>[-2,3,5,4,-1]=>[2,3,5,4,1]=>0000
[-5,-1,2,4,-3]=>[-2,3,-5,4,-1]=>[2,3,5,4,1]=>0000
[-5,-1,2,-4,3]=>[-2,3,5,-4,-1]=>[2,3,5,4,1]=>0000
[-5,-1,2,-4,-3]=>[-2,3,-5,-4,-1]=>[2,3,5,4,1]=>0000
[-5,-1,-2,4,3]=>[-2,-3,5,4,-1]=>[2,3,5,4,1]=>0000
[-5,-1,-2,4,-3]=>[-2,-3,-5,4,-1]=>[2,3,5,4,1]=>0000
[-5,-1,-2,-4,3]=>[-2,-3,5,-4,-1]=>[2,3,5,4,1]=>0000
[-5,-1,-2,-4,-3]=>[-2,-3,-5,-4,-1]=>[2,3,5,4,1]=>0000
[5,1,3,2,4]=>[2,4,3,5,1]=>[2,4,3,5,1]=>0000
[5,1,3,2,-4]=>[2,4,3,-5,1]=>[2,4,3,5,1]=>0000
[5,1,3,-2,4]=>[2,-4,3,5,1]=>[2,4,3,5,1]=>0000
[5,1,3,-2,-4]=>[2,-4,3,-5,1]=>[2,4,3,5,1]=>0000
[5,1,-3,2,4]=>[2,4,-3,5,1]=>[2,4,3,5,1]=>0000
[5,1,-3,2,-4]=>[2,4,-3,-5,1]=>[2,4,3,5,1]=>0000
[5,1,-3,-2,4]=>[2,-4,-3,5,1]=>[2,4,3,5,1]=>0000
[5,1,-3,-2,-4]=>[2,-4,-3,-5,1]=>[2,4,3,5,1]=>0000
[5,-1,3,2,4]=>[-2,4,3,5,1]=>[2,4,3,5,1]=>0000
[5,-1,3,2,-4]=>[-2,4,3,-5,1]=>[2,4,3,5,1]=>0000
[5,-1,3,-2,4]=>[-2,-4,3,5,1]=>[2,4,3,5,1]=>0000
[5,-1,3,-2,-4]=>[-2,-4,3,-5,1]=>[2,4,3,5,1]=>0000
[5,-1,-3,2,4]=>[-2,4,-3,5,1]=>[2,4,3,5,1]=>0000
[5,-1,-3,2,-4]=>[-2,4,-3,-5,1]=>[2,4,3,5,1]=>0000
[5,-1,-3,-2,4]=>[-2,-4,-3,5,1]=>[2,4,3,5,1]=>0000
[5,-1,-3,-2,-4]=>[-2,-4,-3,-5,1]=>[2,4,3,5,1]=>0000
[-5,1,3,2,4]=>[2,4,3,5,-1]=>[2,4,3,5,1]=>0000
[-5,1,3,2,-4]=>[2,4,3,-5,-1]=>[2,4,3,5,1]=>0000
[-5,1,3,-2,4]=>[2,-4,3,5,-1]=>[2,4,3,5,1]=>0000
[-5,1,3,-2,-4]=>[2,-4,3,-5,-1]=>[2,4,3,5,1]=>0000
[-5,1,-3,2,4]=>[2,4,-3,5,-1]=>[2,4,3,5,1]=>0000
[-5,1,-3,2,-4]=>[2,4,-3,-5,-1]=>[2,4,3,5,1]=>0000
[-5,1,-3,-2,4]=>[2,-4,-3,5,-1]=>[2,4,3,5,1]=>0000
[-5,1,-3,-2,-4]=>[2,-4,-3,-5,-1]=>[2,4,3,5,1]=>0000
[-5,-1,3,2,4]=>[-2,4,3,5,-1]=>[2,4,3,5,1]=>0000
[-5,-1,3,2,-4]=>[-2,4,3,-5,-1]=>[2,4,3,5,1]=>0000
[-5,-1,3,-2,4]=>[-2,-4,3,5,-1]=>[2,4,3,5,1]=>0000
[-5,-1,3,-2,-4]=>[-2,-4,3,-5,-1]=>[2,4,3,5,1]=>0000
[-5,-1,-3,2,4]=>[-2,4,-3,5,-1]=>[2,4,3,5,1]=>0000
[-5,-1,-3,2,-4]=>[-2,4,-3,-5,-1]=>[2,4,3,5,1]=>0000
[-5,-1,-3,-2,4]=>[-2,-4,-3,5,-1]=>[2,4,3,5,1]=>0000
[-5,-1,-3,-2,-4]=>[-2,-4,-3,-5,-1]=>[2,4,3,5,1]=>0000
[5,1,3,4,2]=>[2,5,3,4,1]=>[2,5,3,4,1]=>0000
[5,1,3,4,-2]=>[2,-5,3,4,1]=>[2,5,3,4,1]=>0000
[5,1,3,-4,2]=>[2,5,3,-4,1]=>[2,5,3,4,1]=>0000
[5,1,3,-4,-2]=>[2,-5,3,-4,1]=>[2,5,3,4,1]=>0000
[5,1,-3,4,2]=>[2,5,-3,4,1]=>[2,5,3,4,1]=>0000
[5,1,-3,4,-2]=>[2,-5,-3,4,1]=>[2,5,3,4,1]=>0000
[5,1,-3,-4,2]=>[2,5,-3,-4,1]=>[2,5,3,4,1]=>0000
[5,1,-3,-4,-2]=>[2,-5,-3,-4,1]=>[2,5,3,4,1]=>0000
[5,-1,3,4,2]=>[-2,5,3,4,1]=>[2,5,3,4,1]=>0000
[5,-1,3,4,-2]=>[-2,-5,3,4,1]=>[2,5,3,4,1]=>0000
[5,-1,3,-4,2]=>[-2,5,3,-4,1]=>[2,5,3,4,1]=>0000
[5,-1,3,-4,-2]=>[-2,-5,3,-4,1]=>[2,5,3,4,1]=>0000
[5,-1,-3,4,2]=>[-2,5,-3,4,1]=>[2,5,3,4,1]=>0000
[5,-1,-3,4,-2]=>[-2,-5,-3,4,1]=>[2,5,3,4,1]=>0000
[5,-1,-3,-4,2]=>[-2,5,-3,-4,1]=>[2,5,3,4,1]=>0000
[5,-1,-3,-4,-2]=>[-2,-5,-3,-4,1]=>[2,5,3,4,1]=>0000
[-5,1,3,4,2]=>[2,5,3,4,-1]=>[2,5,3,4,1]=>0000
[-5,1,3,4,-2]=>[2,-5,3,4,-1]=>[2,5,3,4,1]=>0000
[-5,1,3,-4,2]=>[2,5,3,-4,-1]=>[2,5,3,4,1]=>0000
[-5,1,3,-4,-2]=>[2,-5,3,-4,-1]=>[2,5,3,4,1]=>0000
[-5,1,-3,4,2]=>[2,5,-3,4,-1]=>[2,5,3,4,1]=>0000
[-5,1,-3,4,-2]=>[2,-5,-3,4,-1]=>[2,5,3,4,1]=>0000
[-5,1,-3,-4,2]=>[2,5,-3,-4,-1]=>[2,5,3,4,1]=>0000
[-5,1,-3,-4,-2]=>[2,-5,-3,-4,-1]=>[2,5,3,4,1]=>0000
[-5,-1,3,4,2]=>[-2,5,3,4,-1]=>[2,5,3,4,1]=>0000
[-5,-1,3,4,-2]=>[-2,-5,3,4,-1]=>[2,5,3,4,1]=>0000
[-5,-1,3,-4,2]=>[-2,5,3,-4,-1]=>[2,5,3,4,1]=>0000
[-5,-1,3,-4,-2]=>[-2,-5,3,-4,-1]=>[2,5,3,4,1]=>0000
[-5,-1,-3,4,2]=>[-2,5,-3,4,-1]=>[2,5,3,4,1]=>0000
[-5,-1,-3,4,-2]=>[-2,-5,-3,4,-1]=>[2,5,3,4,1]=>0000
[-5,-1,-3,-4,2]=>[-2,5,-3,-4,-1]=>[2,5,3,4,1]=>0000
[-5,-1,-3,-4,-2]=>[-2,-5,-3,-4,-1]=>[2,5,3,4,1]=>0000
[5,1,4,2,3]=>[2,4,5,3,1]=>[2,4,5,3,1]=>0000
[5,1,4,2,-3]=>[2,4,-5,3,1]=>[2,4,5,3,1]=>0000
[5,1,4,-2,3]=>[2,-4,5,3,1]=>[2,4,5,3,1]=>0000
[5,1,4,-2,-3]=>[2,-4,-5,3,1]=>[2,4,5,3,1]=>0000
[5,1,-4,2,3]=>[2,4,5,-3,1]=>[2,4,5,3,1]=>0000
[5,1,-4,2,-3]=>[2,4,-5,-3,1]=>[2,4,5,3,1]=>0000
[5,1,-4,-2,3]=>[2,-4,5,-3,1]=>[2,4,5,3,1]=>0000
[5,1,-4,-2,-3]=>[2,-4,-5,-3,1]=>[2,4,5,3,1]=>0000
[5,-1,4,2,3]=>[-2,4,5,3,1]=>[2,4,5,3,1]=>0000
[5,-1,4,2,-3]=>[-2,4,-5,3,1]=>[2,4,5,3,1]=>0000
[5,-1,4,-2,3]=>[-2,-4,5,3,1]=>[2,4,5,3,1]=>0000
[5,-1,4,-2,-3]=>[-2,-4,-5,3,1]=>[2,4,5,3,1]=>0000
[5,-1,-4,2,3]=>[-2,4,5,-3,1]=>[2,4,5,3,1]=>0000
[5,-1,-4,2,-3]=>[-2,4,-5,-3,1]=>[2,4,5,3,1]=>0000
[5,-1,-4,-2,3]=>[-2,-4,5,-3,1]=>[2,4,5,3,1]=>0000
[5,-1,-4,-2,-3]=>[-2,-4,-5,-3,1]=>[2,4,5,3,1]=>0000
[-5,1,4,2,3]=>[2,4,5,3,-1]=>[2,4,5,3,1]=>0000
[-5,1,4,2,-3]=>[2,4,-5,3,-1]=>[2,4,5,3,1]=>0000
[-5,1,4,-2,3]=>[2,-4,5,3,-1]=>[2,4,5,3,1]=>0000
[-5,1,4,-2,-3]=>[2,-4,-5,3,-1]=>[2,4,5,3,1]=>0000
[-5,1,-4,2,3]=>[2,4,5,-3,-1]=>[2,4,5,3,1]=>0000
[-5,1,-4,2,-3]=>[2,4,-5,-3,-1]=>[2,4,5,3,1]=>0000
[-5,1,-4,-2,3]=>[2,-4,5,-3,-1]=>[2,4,5,3,1]=>0000
[-5,1,-4,-2,-3]=>[2,-4,-5,-3,-1]=>[2,4,5,3,1]=>0000
[-5,-1,4,2,3]=>[-2,4,5,3,-1]=>[2,4,5,3,1]=>0000
[-5,-1,4,2,-3]=>[-2,4,-5,3,-1]=>[2,4,5,3,1]=>0000
[-5,-1,4,-2,3]=>[-2,-4,5,3,-1]=>[2,4,5,3,1]=>0000
[-5,-1,4,-2,-3]=>[-2,-4,-5,3,-1]=>[2,4,5,3,1]=>0000
[-5,-1,-4,2,3]=>[-2,4,5,-3,-1]=>[2,4,5,3,1]=>0000
[-5,-1,-4,2,-3]=>[-2,4,-5,-3,-1]=>[2,4,5,3,1]=>0000
[-5,-1,-4,-2,3]=>[-2,-4,5,-3,-1]=>[2,4,5,3,1]=>0000
[-5,-1,-4,-2,-3]=>[-2,-4,-5,-3,-1]=>[2,4,5,3,1]=>0000
[5,1,4,3,2]=>[2,5,4,3,1]=>[2,5,4,3,1]=>0000
[5,1,4,3,-2]=>[2,-5,4,3,1]=>[2,5,4,3,1]=>0000
[5,1,4,-3,2]=>[2,5,-4,3,1]=>[2,5,4,3,1]=>0000
[5,1,4,-3,-2]=>[2,-5,-4,3,1]=>[2,5,4,3,1]=>0000
[5,1,-4,3,2]=>[2,5,4,-3,1]=>[2,5,4,3,1]=>0000
[5,1,-4,3,-2]=>[2,-5,4,-3,1]=>[2,5,4,3,1]=>0000
[5,1,-4,-3,2]=>[2,5,-4,-3,1]=>[2,5,4,3,1]=>0000
[5,1,-4,-3,-2]=>[2,-5,-4,-3,1]=>[2,5,4,3,1]=>0000
[5,-1,4,3,2]=>[-2,5,4,3,1]=>[2,5,4,3,1]=>0000
[5,-1,4,3,-2]=>[-2,-5,4,3,1]=>[2,5,4,3,1]=>0000
[5,-1,4,-3,2]=>[-2,5,-4,3,1]=>[2,5,4,3,1]=>0000
[5,-1,4,-3,-2]=>[-2,-5,-4,3,1]=>[2,5,4,3,1]=>0000
[5,-1,-4,3,2]=>[-2,5,4,-3,1]=>[2,5,4,3,1]=>0000
[5,-1,-4,3,-2]=>[-2,-5,4,-3,1]=>[2,5,4,3,1]=>0000
[5,-1,-4,-3,2]=>[-2,5,-4,-3,1]=>[2,5,4,3,1]=>0000
[5,-1,-4,-3,-2]=>[-2,-5,-4,-3,1]=>[2,5,4,3,1]=>0000
[-5,1,4,3,2]=>[2,5,4,3,-1]=>[2,5,4,3,1]=>0000
[-5,1,4,3,-2]=>[2,-5,4,3,-1]=>[2,5,4,3,1]=>0000
[-5,1,4,-3,2]=>[2,5,-4,3,-1]=>[2,5,4,3,1]=>0000
[-5,1,4,-3,-2]=>[2,-5,-4,3,-1]=>[2,5,4,3,1]=>0000
[-5,1,-4,3,2]=>[2,5,4,-3,-1]=>[2,5,4,3,1]=>0000
[-5,1,-4,3,-2]=>[2,-5,4,-3,-1]=>[2,5,4,3,1]=>0000
[-5,1,-4,-3,2]=>[2,5,-4,-3,-1]=>[2,5,4,3,1]=>0000
[-5,1,-4,-3,-2]=>[2,-5,-4,-3,-1]=>[2,5,4,3,1]=>0000
[-5,-1,4,3,2]=>[-2,5,4,3,-1]=>[2,5,4,3,1]=>0000
[-5,-1,4,3,-2]=>[-2,-5,4,3,-1]=>[2,5,4,3,1]=>0000
[-5,-1,4,-3,2]=>[-2,5,-4,3,-1]=>[2,5,4,3,1]=>0000
[-5,-1,4,-3,-2]=>[-2,-5,-4,3,-1]=>[2,5,4,3,1]=>0000
[-5,-1,-4,3,2]=>[-2,5,4,-3,-1]=>[2,5,4,3,1]=>0000
[-5,-1,-4,3,-2]=>[-2,-5,4,-3,-1]=>[2,5,4,3,1]=>0000
[-5,-1,-4,-3,2]=>[-2,5,-4,-3,-1]=>[2,5,4,3,1]=>0000
[-5,-1,-4,-3,-2]=>[-2,-5,-4,-3,-1]=>[2,5,4,3,1]=>0000
[5,2,1,3,4]=>[3,2,4,5,1]=>[3,2,4,5,1]=>0000
[5,2,1,3,-4]=>[3,2,4,-5,1]=>[3,2,4,5,1]=>0000
[5,2,1,-3,4]=>[3,2,-4,5,1]=>[3,2,4,5,1]=>0000
[5,2,1,-3,-4]=>[3,2,-4,-5,1]=>[3,2,4,5,1]=>0000
[5,2,-1,3,4]=>[-3,2,4,5,1]=>[3,2,4,5,1]=>0000
[5,2,-1,3,-4]=>[-3,2,4,-5,1]=>[3,2,4,5,1]=>0000
[5,2,-1,-3,4]=>[-3,2,-4,5,1]=>[3,2,4,5,1]=>0000
[5,2,-1,-3,-4]=>[-3,2,-4,-5,1]=>[3,2,4,5,1]=>0000
[5,-2,1,3,4]=>[3,-2,4,5,1]=>[3,2,4,5,1]=>0000
[5,-2,1,3,-4]=>[3,-2,4,-5,1]=>[3,2,4,5,1]=>0000
[5,-2,1,-3,4]=>[3,-2,-4,5,1]=>[3,2,4,5,1]=>0000
[5,-2,1,-3,-4]=>[3,-2,-4,-5,1]=>[3,2,4,5,1]=>0000
[5,-2,-1,3,4]=>[-3,-2,4,5,1]=>[3,2,4,5,1]=>0000
[5,-2,-1,3,-4]=>[-3,-2,4,-5,1]=>[3,2,4,5,1]=>0000
[5,-2,-1,-3,4]=>[-3,-2,-4,5,1]=>[3,2,4,5,1]=>0000
[5,-2,-1,-3,-4]=>[-3,-2,-4,-5,1]=>[3,2,4,5,1]=>0000
[-5,2,1,3,4]=>[3,2,4,5,-1]=>[3,2,4,5,1]=>0000
[-5,2,1,3,-4]=>[3,2,4,-5,-1]=>[3,2,4,5,1]=>0000
[-5,2,1,-3,4]=>[3,2,-4,5,-1]=>[3,2,4,5,1]=>0000
[-5,2,1,-3,-4]=>[3,2,-4,-5,-1]=>[3,2,4,5,1]=>0000
[-5,2,-1,3,4]=>[-3,2,4,5,-1]=>[3,2,4,5,1]=>0000
[-5,2,-1,3,-4]=>[-3,2,4,-5,-1]=>[3,2,4,5,1]=>0000
[-5,2,-1,-3,4]=>[-3,2,-4,5,-1]=>[3,2,4,5,1]=>0000
[-5,2,-1,-3,-4]=>[-3,2,-4,-5,-1]=>[3,2,4,5,1]=>0000
[-5,-2,1,3,4]=>[3,-2,4,5,-1]=>[3,2,4,5,1]=>0000
[-5,-2,1,3,-4]=>[3,-2,4,-5,-1]=>[3,2,4,5,1]=>0000
[-5,-2,1,-3,4]=>[3,-2,-4,5,-1]=>[3,2,4,5,1]=>0000
[-5,-2,1,-3,-4]=>[3,-2,-4,-5,-1]=>[3,2,4,5,1]=>0000
[-5,-2,-1,3,4]=>[-3,-2,4,5,-1]=>[3,2,4,5,1]=>0000
[-5,-2,-1,3,-4]=>[-3,-2,4,-5,-1]=>[3,2,4,5,1]=>0000
[-5,-2,-1,-3,4]=>[-3,-2,-4,5,-1]=>[3,2,4,5,1]=>0000
[-5,-2,-1,-3,-4]=>[-3,-2,-4,-5,-1]=>[3,2,4,5,1]=>0000
[5,2,1,4,3]=>[3,2,5,4,1]=>[3,2,5,4,1]=>0000
[5,2,1,4,-3]=>[3,2,-5,4,1]=>[3,2,5,4,1]=>0000
[5,2,1,-4,3]=>[3,2,5,-4,1]=>[3,2,5,4,1]=>0000
[5,2,1,-4,-3]=>[3,2,-5,-4,1]=>[3,2,5,4,1]=>0000
[5,2,-1,4,3]=>[-3,2,5,4,1]=>[3,2,5,4,1]=>0000
[5,2,-1,4,-3]=>[-3,2,-5,4,1]=>[3,2,5,4,1]=>0000
[5,2,-1,-4,3]=>[-3,2,5,-4,1]=>[3,2,5,4,1]=>0000
[5,2,-1,-4,-3]=>[-3,2,-5,-4,1]=>[3,2,5,4,1]=>0000
[5,-2,1,4,3]=>[3,-2,5,4,1]=>[3,2,5,4,1]=>0000
[5,-2,1,4,-3]=>[3,-2,-5,4,1]=>[3,2,5,4,1]=>0000
[5,-2,1,-4,3]=>[3,-2,5,-4,1]=>[3,2,5,4,1]=>0000
[5,-2,1,-4,-3]=>[3,-2,-5,-4,1]=>[3,2,5,4,1]=>0000
[5,-2,-1,4,3]=>[-3,-2,5,4,1]=>[3,2,5,4,1]=>0000
[5,-2,-1,4,-3]=>[-3,-2,-5,4,1]=>[3,2,5,4,1]=>0000
[5,-2,-1,-4,3]=>[-3,-2,5,-4,1]=>[3,2,5,4,1]=>0000
[5,-2,-1,-4,-3]=>[-3,-2,-5,-4,1]=>[3,2,5,4,1]=>0000
[-5,2,1,4,3]=>[3,2,5,4,-1]=>[3,2,5,4,1]=>0000
[-5,2,1,4,-3]=>[3,2,-5,4,-1]=>[3,2,5,4,1]=>0000
[-5,2,1,-4,3]=>[3,2,5,-4,-1]=>[3,2,5,4,1]=>0000
[-5,2,1,-4,-3]=>[3,2,-5,-4,-1]=>[3,2,5,4,1]=>0000
[-5,2,-1,4,3]=>[-3,2,5,4,-1]=>[3,2,5,4,1]=>0000
[-5,2,-1,4,-3]=>[-3,2,-5,4,-1]=>[3,2,5,4,1]=>0000
[-5,2,-1,-4,3]=>[-3,2,5,-4,-1]=>[3,2,5,4,1]=>0000
[-5,2,-1,-4,-3]=>[-3,2,-5,-4,-1]=>[3,2,5,4,1]=>0000
[-5,-2,1,4,3]=>[3,-2,5,4,-1]=>[3,2,5,4,1]=>0000
[-5,-2,1,4,-3]=>[3,-2,-5,4,-1]=>[3,2,5,4,1]=>0000
[-5,-2,1,-4,3]=>[3,-2,5,-4,-1]=>[3,2,5,4,1]=>0000
[-5,-2,1,-4,-3]=>[3,-2,-5,-4,-1]=>[3,2,5,4,1]=>0000
[-5,-2,-1,4,3]=>[-3,-2,5,4,-1]=>[3,2,5,4,1]=>0000
[-5,-2,-1,4,-3]=>[-3,-2,-5,4,-1]=>[3,2,5,4,1]=>0000
[-5,-2,-1,-4,3]=>[-3,-2,5,-4,-1]=>[3,2,5,4,1]=>0000
[-5,-2,-1,-4,-3]=>[-3,-2,-5,-4,-1]=>[3,2,5,4,1]=>0000
[5,2,3,1,4]=>[4,2,3,5,1]=>[4,2,3,5,1]=>0000
[5,2,3,1,-4]=>[4,2,3,-5,1]=>[4,2,3,5,1]=>0000
[5,2,3,-1,4]=>[-4,2,3,5,1]=>[4,2,3,5,1]=>0000
[5,2,3,-1,-4]=>[-4,2,3,-5,1]=>[4,2,3,5,1]=>0000
[5,2,-3,1,4]=>[4,2,-3,5,1]=>[4,2,3,5,1]=>0000
[5,2,-3,1,-4]=>[4,2,-3,-5,1]=>[4,2,3,5,1]=>0000
[5,2,-3,-1,4]=>[-4,2,-3,5,1]=>[4,2,3,5,1]=>0000
[5,2,-3,-1,-4]=>[-4,2,-3,-5,1]=>[4,2,3,5,1]=>0000
[5,-2,3,1,4]=>[4,-2,3,5,1]=>[4,2,3,5,1]=>0000
[5,-2,3,1,-4]=>[4,-2,3,-5,1]=>[4,2,3,5,1]=>0000
[5,-2,3,-1,4]=>[-4,-2,3,5,1]=>[4,2,3,5,1]=>0000
[5,-2,3,-1,-4]=>[-4,-2,3,-5,1]=>[4,2,3,5,1]=>0000
[5,-2,-3,1,4]=>[4,-2,-3,5,1]=>[4,2,3,5,1]=>0000
[5,-2,-3,1,-4]=>[4,-2,-3,-5,1]=>[4,2,3,5,1]=>0000
[5,-2,-3,-1,4]=>[-4,-2,-3,5,1]=>[4,2,3,5,1]=>0000
[5,-2,-3,-1,-4]=>[-4,-2,-3,-5,1]=>[4,2,3,5,1]=>0000
[-5,2,3,1,4]=>[4,2,3,5,-1]=>[4,2,3,5,1]=>0000
[-5,2,3,1,-4]=>[4,2,3,-5,-1]=>[4,2,3,5,1]=>0000
[-5,2,3,-1,4]=>[-4,2,3,5,-1]=>[4,2,3,5,1]=>0000
[-5,2,3,-1,-4]=>[-4,2,3,-5,-1]=>[4,2,3,5,1]=>0000
[-5,2,-3,1,4]=>[4,2,-3,5,-1]=>[4,2,3,5,1]=>0000
[-5,2,-3,1,-4]=>[4,2,-3,-5,-1]=>[4,2,3,5,1]=>0000
[-5,2,-3,-1,4]=>[-4,2,-3,5,-1]=>[4,2,3,5,1]=>0000
[-5,2,-3,-1,-4]=>[-4,2,-3,-5,-1]=>[4,2,3,5,1]=>0000
[-5,-2,3,1,4]=>[4,-2,3,5,-1]=>[4,2,3,5,1]=>0000
[-5,-2,3,1,-4]=>[4,-2,3,-5,-1]=>[4,2,3,5,1]=>0000
[-5,-2,3,-1,4]=>[-4,-2,3,5,-1]=>[4,2,3,5,1]=>0000
[-5,-2,3,-1,-4]=>[-4,-2,3,-5,-1]=>[4,2,3,5,1]=>0000
[-5,-2,-3,1,4]=>[4,-2,-3,5,-1]=>[4,2,3,5,1]=>0000
[-5,-2,-3,1,-4]=>[4,-2,-3,-5,-1]=>[4,2,3,5,1]=>0000
[-5,-2,-3,-1,4]=>[-4,-2,-3,5,-1]=>[4,2,3,5,1]=>0000
[-5,-2,-3,-1,-4]=>[-4,-2,-3,-5,-1]=>[4,2,3,5,1]=>0000
[5,2,3,4,1]=>[5,2,3,4,1]=>[5,2,3,4,1]=>0000
[5,2,3,4,-1]=>[-5,2,3,4,1]=>[5,2,3,4,1]=>0000
[5,2,3,-4,1]=>[5,2,3,-4,1]=>[5,2,3,4,1]=>0000
[5,2,3,-4,-1]=>[-5,2,3,-4,1]=>[5,2,3,4,1]=>0000
[5,2,-3,4,1]=>[5,2,-3,4,1]=>[5,2,3,4,1]=>0000
[5,2,-3,4,-1]=>[-5,2,-3,4,1]=>[5,2,3,4,1]=>0000
[5,2,-3,-4,1]=>[5,2,-3,-4,1]=>[5,2,3,4,1]=>0000
[5,2,-3,-4,-1]=>[-5,2,-3,-4,1]=>[5,2,3,4,1]=>0000
[5,-2,3,4,1]=>[5,-2,3,4,1]=>[5,2,3,4,1]=>0000
[5,-2,3,4,-1]=>[-5,-2,3,4,1]=>[5,2,3,4,1]=>0000
[5,-2,3,-4,1]=>[5,-2,3,-4,1]=>[5,2,3,4,1]=>0000
[5,-2,3,-4,-1]=>[-5,-2,3,-4,1]=>[5,2,3,4,1]=>0000
[5,-2,-3,4,1]=>[5,-2,-3,4,1]=>[5,2,3,4,1]=>0000
[5,-2,-3,4,-1]=>[-5,-2,-3,4,1]=>[5,2,3,4,1]=>0000
[5,-2,-3,-4,1]=>[5,-2,-3,-4,1]=>[5,2,3,4,1]=>0000
[5,-2,-3,-4,-1]=>[-5,-2,-3,-4,1]=>[5,2,3,4,1]=>0000
[-5,2,3,4,1]=>[5,2,3,4,-1]=>[5,2,3,4,1]=>0000
[-5,2,3,4,-1]=>[-5,2,3,4,-1]=>[5,2,3,4,1]=>0000
[-5,2,3,-4,1]=>[5,2,3,-4,-1]=>[5,2,3,4,1]=>0000
[-5,2,3,-4,-1]=>[-5,2,3,-4,-1]=>[5,2,3,4,1]=>0000
[-5,2,-3,4,1]=>[5,2,-3,4,-1]=>[5,2,3,4,1]=>0000
[-5,2,-3,4,-1]=>[-5,2,-3,4,-1]=>[5,2,3,4,1]=>0000
[-5,2,-3,-4,1]=>[5,2,-3,-4,-1]=>[5,2,3,4,1]=>0000
[-5,2,-3,-4,-1]=>[-5,2,-3,-4,-1]=>[5,2,3,4,1]=>0000
[-5,-2,3,4,1]=>[5,-2,3,4,-1]=>[5,2,3,4,1]=>0000
[-5,-2,3,4,-1]=>[-5,-2,3,4,-1]=>[5,2,3,4,1]=>0000
[-5,-2,3,-4,1]=>[5,-2,3,-4,-1]=>[5,2,3,4,1]=>0000
[-5,-2,3,-4,-1]=>[-5,-2,3,-4,-1]=>[5,2,3,4,1]=>0000
[-5,-2,-3,4,1]=>[5,-2,-3,4,-1]=>[5,2,3,4,1]=>0000
[-5,-2,-3,4,-1]=>[-5,-2,-3,4,-1]=>[5,2,3,4,1]=>0000
[-5,-2,-3,-4,1]=>[5,-2,-3,-4,-1]=>[5,2,3,4,1]=>0000
[-5,-2,-3,-4,-1]=>[-5,-2,-3,-4,-1]=>[5,2,3,4,1]=>0000
[5,2,4,1,3]=>[4,2,5,3,1]=>[4,2,5,3,1]=>0000
[5,2,4,1,-3]=>[4,2,-5,3,1]=>[4,2,5,3,1]=>0000
[5,2,4,-1,3]=>[-4,2,5,3,1]=>[4,2,5,3,1]=>0000
[5,2,4,-1,-3]=>[-4,2,-5,3,1]=>[4,2,5,3,1]=>0000
[5,2,-4,1,3]=>[4,2,5,-3,1]=>[4,2,5,3,1]=>0000
[5,2,-4,1,-3]=>[4,2,-5,-3,1]=>[4,2,5,3,1]=>0000
[5,2,-4,-1,3]=>[-4,2,5,-3,1]=>[4,2,5,3,1]=>0000
[5,2,-4,-1,-3]=>[-4,2,-5,-3,1]=>[4,2,5,3,1]=>0000
[5,-2,4,1,3]=>[4,-2,5,3,1]=>[4,2,5,3,1]=>0000
[5,-2,4,1,-3]=>[4,-2,-5,3,1]=>[4,2,5,3,1]=>0000
[5,-2,4,-1,3]=>[-4,-2,5,3,1]=>[4,2,5,3,1]=>0000
[5,-2,4,-1,-3]=>[-4,-2,-5,3,1]=>[4,2,5,3,1]=>0000
[5,-2,-4,1,3]=>[4,-2,5,-3,1]=>[4,2,5,3,1]=>0000
[5,-2,-4,1,-3]=>[4,-2,-5,-3,1]=>[4,2,5,3,1]=>0000
[5,-2,-4,-1,3]=>[-4,-2,5,-3,1]=>[4,2,5,3,1]=>0000
[5,-2,-4,-1,-3]=>[-4,-2,-5,-3,1]=>[4,2,5,3,1]=>0000
[-5,2,4,1,3]=>[4,2,5,3,-1]=>[4,2,5,3,1]=>0000
[-5,2,4,1,-3]=>[4,2,-5,3,-1]=>[4,2,5,3,1]=>0000
[-5,2,4,-1,3]=>[-4,2,5,3,-1]=>[4,2,5,3,1]=>0000
[-5,2,4,-1,-3]=>[-4,2,-5,3,-1]=>[4,2,5,3,1]=>0000
[-5,2,-4,1,3]=>[4,2,5,-3,-1]=>[4,2,5,3,1]=>0000
[-5,2,-4,1,-3]=>[4,2,-5,-3,-1]=>[4,2,5,3,1]=>0000
[-5,2,-4,-1,3]=>[-4,2,5,-3,-1]=>[4,2,5,3,1]=>0000
[-5,2,-4,-1,-3]=>[-4,2,-5,-3,-1]=>[4,2,5,3,1]=>0000
[-5,-2,4,1,3]=>[4,-2,5,3,-1]=>[4,2,5,3,1]=>0000
[-5,-2,4,1,-3]=>[4,-2,-5,3,-1]=>[4,2,5,3,1]=>0000
[-5,-2,4,-1,3]=>[-4,-2,5,3,-1]=>[4,2,5,3,1]=>0000
[-5,-2,4,-1,-3]=>[-4,-2,-5,3,-1]=>[4,2,5,3,1]=>0000
[-5,-2,-4,1,3]=>[4,-2,5,-3,-1]=>[4,2,5,3,1]=>0000
[-5,-2,-4,1,-3]=>[4,-2,-5,-3,-1]=>[4,2,5,3,1]=>0000
[-5,-2,-4,-1,3]=>[-4,-2,5,-3,-1]=>[4,2,5,3,1]=>0000
[-5,-2,-4,-1,-3]=>[-4,-2,-5,-3,-1]=>[4,2,5,3,1]=>0000
[5,2,4,3,1]=>[5,2,4,3,1]=>[5,2,4,3,1]=>0000
[5,2,4,3,-1]=>[-5,2,4,3,1]=>[5,2,4,3,1]=>0000
[5,2,4,-3,1]=>[5,2,-4,3,1]=>[5,2,4,3,1]=>0000
[5,2,4,-3,-1]=>[-5,2,-4,3,1]=>[5,2,4,3,1]=>0000
[5,2,-4,3,1]=>[5,2,4,-3,1]=>[5,2,4,3,1]=>0000
[5,2,-4,3,-1]=>[-5,2,4,-3,1]=>[5,2,4,3,1]=>0000
[5,2,-4,-3,1]=>[5,2,-4,-3,1]=>[5,2,4,3,1]=>0000
[5,2,-4,-3,-1]=>[-5,2,-4,-3,1]=>[5,2,4,3,1]=>0000
[5,-2,4,3,1]=>[5,-2,4,3,1]=>[5,2,4,3,1]=>0000
[5,-2,4,3,-1]=>[-5,-2,4,3,1]=>[5,2,4,3,1]=>0000
[5,-2,4,-3,1]=>[5,-2,-4,3,1]=>[5,2,4,3,1]=>0000
[5,-2,4,-3,-1]=>[-5,-2,-4,3,1]=>[5,2,4,3,1]=>0000
[5,-2,-4,3,1]=>[5,-2,4,-3,1]=>[5,2,4,3,1]=>0000
[5,-2,-4,3,-1]=>[-5,-2,4,-3,1]=>[5,2,4,3,1]=>0000
[5,-2,-4,-3,1]=>[5,-2,-4,-3,1]=>[5,2,4,3,1]=>0000
[5,-2,-4,-3,-1]=>[-5,-2,-4,-3,1]=>[5,2,4,3,1]=>0000
[-5,2,4,3,1]=>[5,2,4,3,-1]=>[5,2,4,3,1]=>0000
[-5,2,4,3,-1]=>[-5,2,4,3,-1]=>[5,2,4,3,1]=>0000
[-5,2,4,-3,1]=>[5,2,-4,3,-1]=>[5,2,4,3,1]=>0000
[-5,2,4,-3,-1]=>[-5,2,-4,3,-1]=>[5,2,4,3,1]=>0000
[-5,2,-4,3,1]=>[5,2,4,-3,-1]=>[5,2,4,3,1]=>0000
[-5,2,-4,3,-1]=>[-5,2,4,-3,-1]=>[5,2,4,3,1]=>0000
[-5,2,-4,-3,1]=>[5,2,-4,-3,-1]=>[5,2,4,3,1]=>0000
[-5,2,-4,-3,-1]=>[-5,2,-4,-3,-1]=>[5,2,4,3,1]=>0000
[-5,-2,4,3,1]=>[5,-2,4,3,-1]=>[5,2,4,3,1]=>0000
[-5,-2,4,3,-1]=>[-5,-2,4,3,-1]=>[5,2,4,3,1]=>0000
[-5,-2,4,-3,1]=>[5,-2,-4,3,-1]=>[5,2,4,3,1]=>0000
[-5,-2,4,-3,-1]=>[-5,-2,-4,3,-1]=>[5,2,4,3,1]=>0000
[-5,-2,-4,3,1]=>[5,-2,4,-3,-1]=>[5,2,4,3,1]=>0000
[-5,-2,-4,3,-1]=>[-5,-2,4,-3,-1]=>[5,2,4,3,1]=>0000
[-5,-2,-4,-3,1]=>[5,-2,-4,-3,-1]=>[5,2,4,3,1]=>0000
[-5,-2,-4,-3,-1]=>[-5,-2,-4,-3,-1]=>[5,2,4,3,1]=>0000
[5,3,1,2,4]=>[3,4,2,5,1]=>[3,4,2,5,1]=>0000
[5,3,1,2,-4]=>[3,4,2,-5,1]=>[3,4,2,5,1]=>0000
[5,3,1,-2,4]=>[3,-4,2,5,1]=>[3,4,2,5,1]=>0000
[5,3,1,-2,-4]=>[3,-4,2,-5,1]=>[3,4,2,5,1]=>0000
[5,3,-1,2,4]=>[-3,4,2,5,1]=>[3,4,2,5,1]=>0000
[5,3,-1,2,-4]=>[-3,4,2,-5,1]=>[3,4,2,5,1]=>0000
[5,3,-1,-2,4]=>[-3,-4,2,5,1]=>[3,4,2,5,1]=>0000
[5,3,-1,-2,-4]=>[-3,-4,2,-5,1]=>[3,4,2,5,1]=>0000
[5,-3,1,2,4]=>[3,4,-2,5,1]=>[3,4,2,5,1]=>0000
[5,-3,1,2,-4]=>[3,4,-2,-5,1]=>[3,4,2,5,1]=>0000
[5,-3,1,-2,4]=>[3,-4,-2,5,1]=>[3,4,2,5,1]=>0000
[5,-3,1,-2,-4]=>[3,-4,-2,-5,1]=>[3,4,2,5,1]=>0000
[5,-3,-1,2,4]=>[-3,4,-2,5,1]=>[3,4,2,5,1]=>0000
[5,-3,-1,2,-4]=>[-3,4,-2,-5,1]=>[3,4,2,5,1]=>0000
[5,-3,-1,-2,4]=>[-3,-4,-2,5,1]=>[3,4,2,5,1]=>0000
[5,-3,-1,-2,-4]=>[-3,-4,-2,-5,1]=>[3,4,2,5,1]=>0000
[-5,3,1,2,4]=>[3,4,2,5,-1]=>[3,4,2,5,1]=>0000
[-5,3,1,2,-4]=>[3,4,2,-5,-1]=>[3,4,2,5,1]=>0000
[-5,3,1,-2,4]=>[3,-4,2,5,-1]=>[3,4,2,5,1]=>0000
[-5,3,1,-2,-4]=>[3,-4,2,-5,-1]=>[3,4,2,5,1]=>0000
[-5,3,-1,2,4]=>[-3,4,2,5,-1]=>[3,4,2,5,1]=>0000
[-5,3,-1,2,-4]=>[-3,4,2,-5,-1]=>[3,4,2,5,1]=>0000
[-5,3,-1,-2,4]=>[-3,-4,2,5,-1]=>[3,4,2,5,1]=>0000
[-5,3,-1,-2,-4]=>[-3,-4,2,-5,-1]=>[3,4,2,5,1]=>0000
[-5,-3,1,2,4]=>[3,4,-2,5,-1]=>[3,4,2,5,1]=>0000
[-5,-3,1,2,-4]=>[3,4,-2,-5,-1]=>[3,4,2,5,1]=>0000
[-5,-3,1,-2,4]=>[3,-4,-2,5,-1]=>[3,4,2,5,1]=>0000
[-5,-3,1,-2,-4]=>[3,-4,-2,-5,-1]=>[3,4,2,5,1]=>0000
[-5,-3,-1,2,4]=>[-3,4,-2,5,-1]=>[3,4,2,5,1]=>0000
[-5,-3,-1,2,-4]=>[-3,4,-2,-5,-1]=>[3,4,2,5,1]=>0000
[-5,-3,-1,-2,4]=>[-3,-4,-2,5,-1]=>[3,4,2,5,1]=>0000
[-5,-3,-1,-2,-4]=>[-3,-4,-2,-5,-1]=>[3,4,2,5,1]=>0000
[5,3,1,4,2]=>[3,5,2,4,1]=>[3,5,2,4,1]=>0000
[5,3,1,4,-2]=>[3,-5,2,4,1]=>[3,5,2,4,1]=>0000
[5,3,1,-4,2]=>[3,5,2,-4,1]=>[3,5,2,4,1]=>0000
[5,3,1,-4,-2]=>[3,-5,2,-4,1]=>[3,5,2,4,1]=>0000
[5,3,-1,4,2]=>[-3,5,2,4,1]=>[3,5,2,4,1]=>0000
[5,3,-1,4,-2]=>[-3,-5,2,4,1]=>[3,5,2,4,1]=>0000
[5,3,-1,-4,2]=>[-3,5,2,-4,1]=>[3,5,2,4,1]=>0000
[5,3,-1,-4,-2]=>[-3,-5,2,-4,1]=>[3,5,2,4,1]=>0000
[5,-3,1,4,2]=>[3,5,-2,4,1]=>[3,5,2,4,1]=>0000
[5,-3,1,4,-2]=>[3,-5,-2,4,1]=>[3,5,2,4,1]=>0000
[5,-3,1,-4,2]=>[3,5,-2,-4,1]=>[3,5,2,4,1]=>0000
[5,-3,1,-4,-2]=>[3,-5,-2,-4,1]=>[3,5,2,4,1]=>0000
[5,-3,-1,4,2]=>[-3,5,-2,4,1]=>[3,5,2,4,1]=>0000
[5,-3,-1,4,-2]=>[-3,-5,-2,4,1]=>[3,5,2,4,1]=>0000
[5,-3,-1,-4,2]=>[-3,5,-2,-4,1]=>[3,5,2,4,1]=>0000
[5,-3,-1,-4,-2]=>[-3,-5,-2,-4,1]=>[3,5,2,4,1]=>0000
[-5,3,1,4,2]=>[3,5,2,4,-1]=>[3,5,2,4,1]=>0000
[-5,3,1,4,-2]=>[3,-5,2,4,-1]=>[3,5,2,4,1]=>0000
[-5,3,1,-4,2]=>[3,5,2,-4,-1]=>[3,5,2,4,1]=>0000
[-5,3,1,-4,-2]=>[3,-5,2,-4,-1]=>[3,5,2,4,1]=>0000
[-5,3,-1,4,2]=>[-3,5,2,4,-1]=>[3,5,2,4,1]=>0000
[-5,3,-1,4,-2]=>[-3,-5,2,4,-1]=>[3,5,2,4,1]=>0000
[-5,3,-1,-4,2]=>[-3,5,2,-4,-1]=>[3,5,2,4,1]=>0000
[-5,3,-1,-4,-2]=>[-3,-5,2,-4,-1]=>[3,5,2,4,1]=>0000
[-5,-3,1,4,2]=>[3,5,-2,4,-1]=>[3,5,2,4,1]=>0000
[-5,-3,1,4,-2]=>[3,-5,-2,4,-1]=>[3,5,2,4,1]=>0000
[-5,-3,1,-4,2]=>[3,5,-2,-4,-1]=>[3,5,2,4,1]=>0000
[-5,-3,1,-4,-2]=>[3,-5,-2,-4,-1]=>[3,5,2,4,1]=>0000
[-5,-3,-1,4,2]=>[-3,5,-2,4,-1]=>[3,5,2,4,1]=>0000
[-5,-3,-1,4,-2]=>[-3,-5,-2,4,-1]=>[3,5,2,4,1]=>0000
[-5,-3,-1,-4,2]=>[-3,5,-2,-4,-1]=>[3,5,2,4,1]=>0000
[-5,-3,-1,-4,-2]=>[-3,-5,-2,-4,-1]=>[3,5,2,4,1]=>0000
[5,3,2,1,4]=>[4,3,2,5,1]=>[4,3,2,5,1]=>0000
[5,3,2,1,-4]=>[4,3,2,-5,1]=>[4,3,2,5,1]=>0000
[5,3,2,-1,4]=>[-4,3,2,5,1]=>[4,3,2,5,1]=>0000
[5,3,2,-1,-4]=>[-4,3,2,-5,1]=>[4,3,2,5,1]=>0000
[5,3,-2,1,4]=>[4,-3,2,5,1]=>[4,3,2,5,1]=>0000
[5,3,-2,1,-4]=>[4,-3,2,-5,1]=>[4,3,2,5,1]=>0000
[5,3,-2,-1,4]=>[-4,-3,2,5,1]=>[4,3,2,5,1]=>0000
[5,3,-2,-1,-4]=>[-4,-3,2,-5,1]=>[4,3,2,5,1]=>0000
[5,-3,2,1,4]=>[4,3,-2,5,1]=>[4,3,2,5,1]=>0000
[5,-3,2,1,-4]=>[4,3,-2,-5,1]=>[4,3,2,5,1]=>0000
[5,-3,2,-1,4]=>[-4,3,-2,5,1]=>[4,3,2,5,1]=>0000
[5,-3,2,-1,-4]=>[-4,3,-2,-5,1]=>[4,3,2,5,1]=>0000
[5,-3,-2,1,4]=>[4,-3,-2,5,1]=>[4,3,2,5,1]=>0000
[5,-3,-2,1,-4]=>[4,-3,-2,-5,1]=>[4,3,2,5,1]=>0000
[5,-3,-2,-1,4]=>[-4,-3,-2,5,1]=>[4,3,2,5,1]=>0000
[5,-3,-2,-1,-4]=>[-4,-3,-2,-5,1]=>[4,3,2,5,1]=>0000
[-5,3,2,1,4]=>[4,3,2,5,-1]=>[4,3,2,5,1]=>0000
[-5,3,2,1,-4]=>[4,3,2,-5,-1]=>[4,3,2,5,1]=>0000
[-5,3,2,-1,4]=>[-4,3,2,5,-1]=>[4,3,2,5,1]=>0000
[-5,3,2,-1,-4]=>[-4,3,2,-5,-1]=>[4,3,2,5,1]=>0000
[-5,3,-2,1,4]=>[4,-3,2,5,-1]=>[4,3,2,5,1]=>0000
[-5,3,-2,1,-4]=>[4,-3,2,-5,-1]=>[4,3,2,5,1]=>0000
[-5,3,-2,-1,4]=>[-4,-3,2,5,-1]=>[4,3,2,5,1]=>0000
[-5,3,-2,-1,-4]=>[-4,-3,2,-5,-1]=>[4,3,2,5,1]=>0000
[-5,-3,2,1,4]=>[4,3,-2,5,-1]=>[4,3,2,5,1]=>0000
[-5,-3,2,1,-4]=>[4,3,-2,-5,-1]=>[4,3,2,5,1]=>0000
[-5,-3,2,-1,4]=>[-4,3,-2,5,-1]=>[4,3,2,5,1]=>0000
[-5,-3,2,-1,-4]=>[-4,3,-2,-5,-1]=>[4,3,2,5,1]=>0000
[-5,-3,-2,1,4]=>[4,-3,-2,5,-1]=>[4,3,2,5,1]=>0000
[-5,-3,-2,1,-4]=>[4,-3,-2,-5,-1]=>[4,3,2,5,1]=>0000
[-5,-3,-2,-1,4]=>[-4,-3,-2,5,-1]=>[4,3,2,5,1]=>0000
[-5,-3,-2,-1,-4]=>[-4,-3,-2,-5,-1]=>[4,3,2,5,1]=>0000
[5,3,2,4,1]=>[5,3,2,4,1]=>[5,3,2,4,1]=>0000
[5,3,2,4,-1]=>[-5,3,2,4,1]=>[5,3,2,4,1]=>0000
[5,3,2,-4,1]=>[5,3,2,-4,1]=>[5,3,2,4,1]=>0000
[5,3,2,-4,-1]=>[-5,3,2,-4,1]=>[5,3,2,4,1]=>0000
[5,3,-2,4,1]=>[5,-3,2,4,1]=>[5,3,2,4,1]=>0000
[5,3,-2,4,-1]=>[-5,-3,2,4,1]=>[5,3,2,4,1]=>0000
[5,3,-2,-4,1]=>[5,-3,2,-4,1]=>[5,3,2,4,1]=>0000
[5,3,-2,-4,-1]=>[-5,-3,2,-4,1]=>[5,3,2,4,1]=>0000
[5,-3,2,4,1]=>[5,3,-2,4,1]=>[5,3,2,4,1]=>0000
[5,-3,2,4,-1]=>[-5,3,-2,4,1]=>[5,3,2,4,1]=>0000
[5,-3,2,-4,1]=>[5,3,-2,-4,1]=>[5,3,2,4,1]=>0000
[5,-3,2,-4,-1]=>[-5,3,-2,-4,1]=>[5,3,2,4,1]=>0000
[5,-3,-2,4,1]=>[5,-3,-2,4,1]=>[5,3,2,4,1]=>0000
[5,-3,-2,4,-1]=>[-5,-3,-2,4,1]=>[5,3,2,4,1]=>0000
[5,-3,-2,-4,1]=>[5,-3,-2,-4,1]=>[5,3,2,4,1]=>0000
[5,-3,-2,-4,-1]=>[-5,-3,-2,-4,1]=>[5,3,2,4,1]=>0000
[-5,3,2,4,1]=>[5,3,2,4,-1]=>[5,3,2,4,1]=>0000
[-5,3,2,4,-1]=>[-5,3,2,4,-1]=>[5,3,2,4,1]=>0000
[-5,3,2,-4,1]=>[5,3,2,-4,-1]=>[5,3,2,4,1]=>0000
[-5,3,2,-4,-1]=>[-5,3,2,-4,-1]=>[5,3,2,4,1]=>0000
[-5,3,-2,4,1]=>[5,-3,2,4,-1]=>[5,3,2,4,1]=>0000
[-5,3,-2,4,-1]=>[-5,-3,2,4,-1]=>[5,3,2,4,1]=>0000
[-5,3,-2,-4,1]=>[5,-3,2,-4,-1]=>[5,3,2,4,1]=>0000
[-5,3,-2,-4,-1]=>[-5,-3,2,-4,-1]=>[5,3,2,4,1]=>0000
[-5,-3,2,4,1]=>[5,3,-2,4,-1]=>[5,3,2,4,1]=>0000
[-5,-3,2,4,-1]=>[-5,3,-2,4,-1]=>[5,3,2,4,1]=>0000
[-5,-3,2,-4,1]=>[5,3,-2,-4,-1]=>[5,3,2,4,1]=>0000
[-5,-3,2,-4,-1]=>[-5,3,-2,-4,-1]=>[5,3,2,4,1]=>0000
[-5,-3,-2,4,1]=>[5,-3,-2,4,-1]=>[5,3,2,4,1]=>0000
[-5,-3,-2,4,-1]=>[-5,-3,-2,4,-1]=>[5,3,2,4,1]=>0000
[-5,-3,-2,-4,1]=>[5,-3,-2,-4,-1]=>[5,3,2,4,1]=>0000
[-5,-3,-2,-4,-1]=>[-5,-3,-2,-4,-1]=>[5,3,2,4,1]=>0000
[5,3,4,1,2]=>[4,5,2,3,1]=>[4,5,2,3,1]=>0000
[5,3,4,1,-2]=>[4,-5,2,3,1]=>[4,5,2,3,1]=>0000
[5,3,4,-1,2]=>[-4,5,2,3,1]=>[4,5,2,3,1]=>0000
[5,3,4,-1,-2]=>[-4,-5,2,3,1]=>[4,5,2,3,1]=>0000
[5,3,-4,1,2]=>[4,5,2,-3,1]=>[4,5,2,3,1]=>0000
[5,3,-4,1,-2]=>[4,-5,2,-3,1]=>[4,5,2,3,1]=>0000
[5,3,-4,-1,2]=>[-4,5,2,-3,1]=>[4,5,2,3,1]=>0000
[5,3,-4,-1,-2]=>[-4,-5,2,-3,1]=>[4,5,2,3,1]=>0000
[5,-3,4,1,2]=>[4,5,-2,3,1]=>[4,5,2,3,1]=>0000
[5,-3,4,1,-2]=>[4,-5,-2,3,1]=>[4,5,2,3,1]=>0000
[5,-3,4,-1,2]=>[-4,5,-2,3,1]=>[4,5,2,3,1]=>0000
[5,-3,4,-1,-2]=>[-4,-5,-2,3,1]=>[4,5,2,3,1]=>0000
[5,-3,-4,1,2]=>[4,5,-2,-3,1]=>[4,5,2,3,1]=>0000
[5,-3,-4,1,-2]=>[4,-5,-2,-3,1]=>[4,5,2,3,1]=>0000
[5,-3,-4,-1,2]=>[-4,5,-2,-3,1]=>[4,5,2,3,1]=>0000
[5,-3,-4,-1,-2]=>[-4,-5,-2,-3,1]=>[4,5,2,3,1]=>0000
[-5,3,4,1,2]=>[4,5,2,3,-1]=>[4,5,2,3,1]=>0000
[-5,3,4,1,-2]=>[4,-5,2,3,-1]=>[4,5,2,3,1]=>0000
[-5,3,4,-1,2]=>[-4,5,2,3,-1]=>[4,5,2,3,1]=>0000
[-5,3,4,-1,-2]=>[-4,-5,2,3,-1]=>[4,5,2,3,1]=>0000
[-5,3,-4,1,2]=>[4,5,2,-3,-1]=>[4,5,2,3,1]=>0000
[-5,3,-4,1,-2]=>[4,-5,2,-3,-1]=>[4,5,2,3,1]=>0000
[-5,3,-4,-1,2]=>[-4,5,2,-3,-1]=>[4,5,2,3,1]=>0000
[-5,3,-4,-1,-2]=>[-4,-5,2,-3,-1]=>[4,5,2,3,1]=>0000
[-5,-3,4,1,2]=>[4,5,-2,3,-1]=>[4,5,2,3,1]=>0000
[-5,-3,4,1,-2]=>[4,-5,-2,3,-1]=>[4,5,2,3,1]=>0000
[-5,-3,4,-1,2]=>[-4,5,-2,3,-1]=>[4,5,2,3,1]=>0000
[-5,-3,4,-1,-2]=>[-4,-5,-2,3,-1]=>[4,5,2,3,1]=>0000
[-5,-3,-4,1,2]=>[4,5,-2,-3,-1]=>[4,5,2,3,1]=>0000
[-5,-3,-4,1,-2]=>[4,-5,-2,-3,-1]=>[4,5,2,3,1]=>0000
[-5,-3,-4,-1,2]=>[-4,5,-2,-3,-1]=>[4,5,2,3,1]=>0000
[-5,-3,-4,-1,-2]=>[-4,-5,-2,-3,-1]=>[4,5,2,3,1]=>0000
[5,3,4,2,1]=>[5,4,2,3,1]=>[5,4,2,3,1]=>0000
[5,3,4,2,-1]=>[-5,4,2,3,1]=>[5,4,2,3,1]=>0000
[5,3,4,-2,1]=>[5,-4,2,3,1]=>[5,4,2,3,1]=>0000
[5,3,4,-2,-1]=>[-5,-4,2,3,1]=>[5,4,2,3,1]=>0000
[5,3,-4,2,1]=>[5,4,2,-3,1]=>[5,4,2,3,1]=>0000
[5,3,-4,2,-1]=>[-5,4,2,-3,1]=>[5,4,2,3,1]=>0000
[5,3,-4,-2,1]=>[5,-4,2,-3,1]=>[5,4,2,3,1]=>0000
[5,3,-4,-2,-1]=>[-5,-4,2,-3,1]=>[5,4,2,3,1]=>0000
[5,-3,4,2,1]=>[5,4,-2,3,1]=>[5,4,2,3,1]=>0000
[5,-3,4,2,-1]=>[-5,4,-2,3,1]=>[5,4,2,3,1]=>0000
[5,-3,4,-2,1]=>[5,-4,-2,3,1]=>[5,4,2,3,1]=>0000
[5,-3,4,-2,-1]=>[-5,-4,-2,3,1]=>[5,4,2,3,1]=>0000
[5,-3,-4,2,1]=>[5,4,-2,-3,1]=>[5,4,2,3,1]=>0000
[5,-3,-4,2,-1]=>[-5,4,-2,-3,1]=>[5,4,2,3,1]=>0000
[5,-3,-4,-2,1]=>[5,-4,-2,-3,1]=>[5,4,2,3,1]=>0000
[5,-3,-4,-2,-1]=>[-5,-4,-2,-3,1]=>[5,4,2,3,1]=>0000
[-5,3,4,2,1]=>[5,4,2,3,-1]=>[5,4,2,3,1]=>0000
[-5,3,4,2,-1]=>[-5,4,2,3,-1]=>[5,4,2,3,1]=>0000
[-5,3,4,-2,1]=>[5,-4,2,3,-1]=>[5,4,2,3,1]=>0000
[-5,3,4,-2,-1]=>[-5,-4,2,3,-1]=>[5,4,2,3,1]=>0000
[-5,3,-4,2,1]=>[5,4,2,-3,-1]=>[5,4,2,3,1]=>0000
[-5,3,-4,2,-1]=>[-5,4,2,-3,-1]=>[5,4,2,3,1]=>0000
[-5,3,-4,-2,1]=>[5,-4,2,-3,-1]=>[5,4,2,3,1]=>0000
[-5,3,-4,-2,-1]=>[-5,-4,2,-3,-1]=>[5,4,2,3,1]=>0000
[-5,-3,4,2,1]=>[5,4,-2,3,-1]=>[5,4,2,3,1]=>0000
[-5,-3,4,2,-1]=>[-5,4,-2,3,-1]=>[5,4,2,3,1]=>0000
[-5,-3,4,-2,1]=>[5,-4,-2,3,-1]=>[5,4,2,3,1]=>0000
[-5,-3,4,-2,-1]=>[-5,-4,-2,3,-1]=>[5,4,2,3,1]=>0000
[-5,-3,-4,2,1]=>[5,4,-2,-3,-1]=>[5,4,2,3,1]=>0000
[-5,-3,-4,2,-1]=>[-5,4,-2,-3,-1]=>[5,4,2,3,1]=>0000
[-5,-3,-4,-2,1]=>[5,-4,-2,-3,-1]=>[5,4,2,3,1]=>0000
[-5,-3,-4,-2,-1]=>[-5,-4,-2,-3,-1]=>[5,4,2,3,1]=>0000
[5,4,1,2,3]=>[3,4,5,2,1]=>[3,4,5,2,1]=>0000
[5,4,1,2,-3]=>[3,4,-5,2,1]=>[3,4,5,2,1]=>0000
[5,4,1,-2,3]=>[3,-4,5,2,1]=>[3,4,5,2,1]=>0000
[5,4,1,-2,-3]=>[3,-4,-5,2,1]=>[3,4,5,2,1]=>0000
[5,4,-1,2,3]=>[-3,4,5,2,1]=>[3,4,5,2,1]=>0000
[5,4,-1,2,-3]=>[-3,4,-5,2,1]=>[3,4,5,2,1]=>0000
[5,4,-1,-2,3]=>[-3,-4,5,2,1]=>[3,4,5,2,1]=>0000
[5,4,-1,-2,-3]=>[-3,-4,-5,2,1]=>[3,4,5,2,1]=>0000
[5,-4,1,2,3]=>[3,4,5,-2,1]=>[3,4,5,2,1]=>0000
[5,-4,1,2,-3]=>[3,4,-5,-2,1]=>[3,4,5,2,1]=>0000
[5,-4,1,-2,3]=>[3,-4,5,-2,1]=>[3,4,5,2,1]=>0000
[5,-4,1,-2,-3]=>[3,-4,-5,-2,1]=>[3,4,5,2,1]=>0000
[5,-4,-1,2,3]=>[-3,4,5,-2,1]=>[3,4,5,2,1]=>0000
[5,-4,-1,2,-3]=>[-3,4,-5,-2,1]=>[3,4,5,2,1]=>0000
[5,-4,-1,-2,3]=>[-3,-4,5,-2,1]=>[3,4,5,2,1]=>0000
[5,-4,-1,-2,-3]=>[-3,-4,-5,-2,1]=>[3,4,5,2,1]=>0000
[-5,4,1,2,3]=>[3,4,5,2,-1]=>[3,4,5,2,1]=>0000
[-5,4,1,2,-3]=>[3,4,-5,2,-1]=>[3,4,5,2,1]=>0000
[-5,4,1,-2,3]=>[3,-4,5,2,-1]=>[3,4,5,2,1]=>0000
[-5,4,1,-2,-3]=>[3,-4,-5,2,-1]=>[3,4,5,2,1]=>0000
[-5,4,-1,2,3]=>[-3,4,5,2,-1]=>[3,4,5,2,1]=>0000
[-5,4,-1,2,-3]=>[-3,4,-5,2,-1]=>[3,4,5,2,1]=>0000
[-5,4,-1,-2,3]=>[-3,-4,5,2,-1]=>[3,4,5,2,1]=>0000
[-5,4,-1,-2,-3]=>[-3,-4,-5,2,-1]=>[3,4,5,2,1]=>0000
[-5,-4,1,2,3]=>[3,4,5,-2,-1]=>[3,4,5,2,1]=>0000
[-5,-4,1,2,-3]=>[3,4,-5,-2,-1]=>[3,4,5,2,1]=>0000
[-5,-4,1,-2,3]=>[3,-4,5,-2,-1]=>[3,4,5,2,1]=>0000
[-5,-4,1,-2,-3]=>[3,-4,-5,-2,-1]=>[3,4,5,2,1]=>0000
[-5,-4,-1,2,3]=>[-3,4,5,-2,-1]=>[3,4,5,2,1]=>0000
[-5,-4,-1,2,-3]=>[-3,4,-5,-2,-1]=>[3,4,5,2,1]=>0000
[-5,-4,-1,-2,3]=>[-3,-4,5,-2,-1]=>[3,4,5,2,1]=>0000
[-5,-4,-1,-2,-3]=>[-3,-4,-5,-2,-1]=>[3,4,5,2,1]=>0000
[5,4,1,3,2]=>[3,5,4,2,1]=>[3,5,4,2,1]=>0000
[5,4,1,3,-2]=>[3,-5,4,2,1]=>[3,5,4,2,1]=>0000
[5,4,1,-3,2]=>[3,5,-4,2,1]=>[3,5,4,2,1]=>0000
[5,4,1,-3,-2]=>[3,-5,-4,2,1]=>[3,5,4,2,1]=>0000
[5,4,-1,3,2]=>[-3,5,4,2,1]=>[3,5,4,2,1]=>0000
[5,4,-1,3,-2]=>[-3,-5,4,2,1]=>[3,5,4,2,1]=>0000
[5,4,-1,-3,2]=>[-3,5,-4,2,1]=>[3,5,4,2,1]=>0000
[5,4,-1,-3,-2]=>[-3,-5,-4,2,1]=>[3,5,4,2,1]=>0000
[5,-4,1,3,2]=>[3,5,4,-2,1]=>[3,5,4,2,1]=>0000
[5,-4,1,3,-2]=>[3,-5,4,-2,1]=>[3,5,4,2,1]=>0000
[5,-4,1,-3,2]=>[3,5,-4,-2,1]=>[3,5,4,2,1]=>0000
[5,-4,1,-3,-2]=>[3,-5,-4,-2,1]=>[3,5,4,2,1]=>0000
[5,-4,-1,3,2]=>[-3,5,4,-2,1]=>[3,5,4,2,1]=>0000
[5,-4,-1,3,-2]=>[-3,-5,4,-2,1]=>[3,5,4,2,1]=>0000
[5,-4,-1,-3,2]=>[-3,5,-4,-2,1]=>[3,5,4,2,1]=>0000
[5,-4,-1,-3,-2]=>[-3,-5,-4,-2,1]=>[3,5,4,2,1]=>0000
[-5,4,1,3,2]=>[3,5,4,2,-1]=>[3,5,4,2,1]=>0000
[-5,4,1,3,-2]=>[3,-5,4,2,-1]=>[3,5,4,2,1]=>0000
[-5,4,1,-3,2]=>[3,5,-4,2,-1]=>[3,5,4,2,1]=>0000
[-5,4,1,-3,-2]=>[3,-5,-4,2,-1]=>[3,5,4,2,1]=>0000
[-5,4,-1,3,2]=>[-3,5,4,2,-1]=>[3,5,4,2,1]=>0000
[-5,4,-1,3,-2]=>[-3,-5,4,2,-1]=>[3,5,4,2,1]=>0000
[-5,4,-1,-3,2]=>[-3,5,-4,2,-1]=>[3,5,4,2,1]=>0000
[-5,4,-1,-3,-2]=>[-3,-5,-4,2,-1]=>[3,5,4,2,1]=>0000
[-5,-4,1,3,2]=>[3,5,4,-2,-1]=>[3,5,4,2,1]=>0000
[-5,-4,1,3,-2]=>[3,-5,4,-2,-1]=>[3,5,4,2,1]=>0000
[-5,-4,1,-3,2]=>[3,5,-4,-2,-1]=>[3,5,4,2,1]=>0000
[-5,-4,1,-3,-2]=>[3,-5,-4,-2,-1]=>[3,5,4,2,1]=>0000
[-5,-4,-1,3,2]=>[-3,5,4,-2,-1]=>[3,5,4,2,1]=>0000
[-5,-4,-1,3,-2]=>[-3,-5,4,-2,-1]=>[3,5,4,2,1]=>0000
[-5,-4,-1,-3,2]=>[-3,5,-4,-2,-1]=>[3,5,4,2,1]=>0000
[-5,-4,-1,-3,-2]=>[-3,-5,-4,-2,-1]=>[3,5,4,2,1]=>0000
[5,4,2,1,3]=>[4,3,5,2,1]=>[4,3,5,2,1]=>0000
[5,4,2,1,-3]=>[4,3,-5,2,1]=>[4,3,5,2,1]=>0000
[5,4,2,-1,3]=>[-4,3,5,2,1]=>[4,3,5,2,1]=>0000
[5,4,2,-1,-3]=>[-4,3,-5,2,1]=>[4,3,5,2,1]=>0000
[5,4,-2,1,3]=>[4,-3,5,2,1]=>[4,3,5,2,1]=>0000
[5,4,-2,1,-3]=>[4,-3,-5,2,1]=>[4,3,5,2,1]=>0000
[5,4,-2,-1,3]=>[-4,-3,5,2,1]=>[4,3,5,2,1]=>0000
[5,4,-2,-1,-3]=>[-4,-3,-5,2,1]=>[4,3,5,2,1]=>0000
[5,-4,2,1,3]=>[4,3,5,-2,1]=>[4,3,5,2,1]=>0000
[5,-4,2,1,-3]=>[4,3,-5,-2,1]=>[4,3,5,2,1]=>0000
[5,-4,2,-1,3]=>[-4,3,5,-2,1]=>[4,3,5,2,1]=>0000
[5,-4,2,-1,-3]=>[-4,3,-5,-2,1]=>[4,3,5,2,1]=>0000
[5,-4,-2,1,3]=>[4,-3,5,-2,1]=>[4,3,5,2,1]=>0000
[5,-4,-2,1,-3]=>[4,-3,-5,-2,1]=>[4,3,5,2,1]=>0000
[5,-4,-2,-1,3]=>[-4,-3,5,-2,1]=>[4,3,5,2,1]=>0000
[5,-4,-2,-1,-3]=>[-4,-3,-5,-2,1]=>[4,3,5,2,1]=>0000
[-5,4,2,1,3]=>[4,3,5,2,-1]=>[4,3,5,2,1]=>0000
[-5,4,2,1,-3]=>[4,3,-5,2,-1]=>[4,3,5,2,1]=>0000
[-5,4,2,-1,3]=>[-4,3,5,2,-1]=>[4,3,5,2,1]=>0000
[-5,4,2,-1,-3]=>[-4,3,-5,2,-1]=>[4,3,5,2,1]=>0000
[-5,4,-2,1,3]=>[4,-3,5,2,-1]=>[4,3,5,2,1]=>0000
[-5,4,-2,1,-3]=>[4,-3,-5,2,-1]=>[4,3,5,2,1]=>0000
[-5,4,-2,-1,3]=>[-4,-3,5,2,-1]=>[4,3,5,2,1]=>0000
[-5,4,-2,-1,-3]=>[-4,-3,-5,2,-1]=>[4,3,5,2,1]=>0000
[-5,-4,2,1,3]=>[4,3,5,-2,-1]=>[4,3,5,2,1]=>0000
[-5,-4,2,1,-3]=>[4,3,-5,-2,-1]=>[4,3,5,2,1]=>0000
[-5,-4,2,-1,3]=>[-4,3,5,-2,-1]=>[4,3,5,2,1]=>0000
[-5,-4,2,-1,-3]=>[-4,3,-5,-2,-1]=>[4,3,5,2,1]=>0000
[-5,-4,-2,1,3]=>[4,-3,5,-2,-1]=>[4,3,5,2,1]=>0000
[-5,-4,-2,1,-3]=>[4,-3,-5,-2,-1]=>[4,3,5,2,1]=>0000
[-5,-4,-2,-1,3]=>[-4,-3,5,-2,-1]=>[4,3,5,2,1]=>0000
[-5,-4,-2,-1,-3]=>[-4,-3,-5,-2,-1]=>[4,3,5,2,1]=>0000
[5,4,2,3,1]=>[5,3,4,2,1]=>[5,3,4,2,1]=>0000
[5,4,2,3,-1]=>[-5,3,4,2,1]=>[5,3,4,2,1]=>0000
[5,4,2,-3,1]=>[5,3,-4,2,1]=>[5,3,4,2,1]=>0000
[5,4,2,-3,-1]=>[-5,3,-4,2,1]=>[5,3,4,2,1]=>0000
[5,4,-2,3,1]=>[5,-3,4,2,1]=>[5,3,4,2,1]=>0000
[5,4,-2,3,-1]=>[-5,-3,4,2,1]=>[5,3,4,2,1]=>0000
[5,4,-2,-3,1]=>[5,-3,-4,2,1]=>[5,3,4,2,1]=>0000
[5,4,-2,-3,-1]=>[-5,-3,-4,2,1]=>[5,3,4,2,1]=>0000
[5,-4,2,3,1]=>[5,3,4,-2,1]=>[5,3,4,2,1]=>0000
[5,-4,2,3,-1]=>[-5,3,4,-2,1]=>[5,3,4,2,1]=>0000
[5,-4,2,-3,1]=>[5,3,-4,-2,1]=>[5,3,4,2,1]=>0000
[5,-4,2,-3,-1]=>[-5,3,-4,-2,1]=>[5,3,4,2,1]=>0000
[5,-4,-2,3,1]=>[5,-3,4,-2,1]=>[5,3,4,2,1]=>0000
[5,-4,-2,3,-1]=>[-5,-3,4,-2,1]=>[5,3,4,2,1]=>0000
[5,-4,-2,-3,1]=>[5,-3,-4,-2,1]=>[5,3,4,2,1]=>0000
[5,-4,-2,-3,-1]=>[-5,-3,-4,-2,1]=>[5,3,4,2,1]=>0000
[-5,4,2,3,1]=>[5,3,4,2,-1]=>[5,3,4,2,1]=>0000
[-5,4,2,3,-1]=>[-5,3,4,2,-1]=>[5,3,4,2,1]=>0000
[-5,4,2,-3,1]=>[5,3,-4,2,-1]=>[5,3,4,2,1]=>0000
[-5,4,2,-3,-1]=>[-5,3,-4,2,-1]=>[5,3,4,2,1]=>0000
[-5,4,-2,3,1]=>[5,-3,4,2,-1]=>[5,3,4,2,1]=>0000
[-5,4,-2,3,-1]=>[-5,-3,4,2,-1]=>[5,3,4,2,1]=>0000
[-5,4,-2,-3,1]=>[5,-3,-4,2,-1]=>[5,3,4,2,1]=>0000
[-5,4,-2,-3,-1]=>[-5,-3,-4,2,-1]=>[5,3,4,2,1]=>0000
[-5,-4,2,3,1]=>[5,3,4,-2,-1]=>[5,3,4,2,1]=>0000
[-5,-4,2,3,-1]=>[-5,3,4,-2,-1]=>[5,3,4,2,1]=>0000
[-5,-4,2,-3,1]=>[5,3,-4,-2,-1]=>[5,3,4,2,1]=>0000
[-5,-4,2,-3,-1]=>[-5,3,-4,-2,-1]=>[5,3,4,2,1]=>0000
[-5,-4,-2,3,1]=>[5,-3,4,-2,-1]=>[5,3,4,2,1]=>0000
[-5,-4,-2,3,-1]=>[-5,-3,4,-2,-1]=>[5,3,4,2,1]=>0000
[-5,-4,-2,-3,1]=>[5,-3,-4,-2,-1]=>[5,3,4,2,1]=>0000
[-5,-4,-2,-3,-1]=>[-5,-3,-4,-2,-1]=>[5,3,4,2,1]=>0000
[5,4,3,1,2]=>[4,5,3,2,1]=>[4,5,3,2,1]=>0000
[5,4,3,1,-2]=>[4,-5,3,2,1]=>[4,5,3,2,1]=>0000
[5,4,3,-1,2]=>[-4,5,3,2,1]=>[4,5,3,2,1]=>0000
[5,4,3,-1,-2]=>[-4,-5,3,2,1]=>[4,5,3,2,1]=>0000
[5,4,-3,1,2]=>[4,5,-3,2,1]=>[4,5,3,2,1]=>0000
[5,4,-3,1,-2]=>[4,-5,-3,2,1]=>[4,5,3,2,1]=>0000
[5,4,-3,-1,2]=>[-4,5,-3,2,1]=>[4,5,3,2,1]=>0000
[5,4,-3,-1,-2]=>[-4,-5,-3,2,1]=>[4,5,3,2,1]=>0000
[5,-4,3,1,2]=>[4,5,3,-2,1]=>[4,5,3,2,1]=>0000
[5,-4,3,1,-2]=>[4,-5,3,-2,1]=>[4,5,3,2,1]=>0000
[5,-4,3,-1,2]=>[-4,5,3,-2,1]=>[4,5,3,2,1]=>0000
[5,-4,3,-1,-2]=>[-4,-5,3,-2,1]=>[4,5,3,2,1]=>0000
[5,-4,-3,1,2]=>[4,5,-3,-2,1]=>[4,5,3,2,1]=>0000
[5,-4,-3,1,-2]=>[4,-5,-3,-2,1]=>[4,5,3,2,1]=>0000
[5,-4,-3,-1,2]=>[-4,5,-3,-2,1]=>[4,5,3,2,1]=>0000
[5,-4,-3,-1,-2]=>[-4,-5,-3,-2,1]=>[4,5,3,2,1]=>0000
[-5,4,3,1,2]=>[4,5,3,2,-1]=>[4,5,3,2,1]=>0000
[-5,4,3,1,-2]=>[4,-5,3,2,-1]=>[4,5,3,2,1]=>0000
[-5,4,3,-1,2]=>[-4,5,3,2,-1]=>[4,5,3,2,1]=>0000
[-5,4,3,-1,-2]=>[-4,-5,3,2,-1]=>[4,5,3,2,1]=>0000
[-5,4,-3,1,2]=>[4,5,-3,2,-1]=>[4,5,3,2,1]=>0000
[-5,4,-3,1,-2]=>[4,-5,-3,2,-1]=>[4,5,3,2,1]=>0000
[-5,4,-3,-1,2]=>[-4,5,-3,2,-1]=>[4,5,3,2,1]=>0000
[-5,4,-3,-1,-2]=>[-4,-5,-3,2,-1]=>[4,5,3,2,1]=>0000
[-5,-4,3,1,2]=>[4,5,3,-2,-1]=>[4,5,3,2,1]=>0000
[-5,-4,3,1,-2]=>[4,-5,3,-2,-1]=>[4,5,3,2,1]=>0000
[-5,-4,3,-1,2]=>[-4,5,3,-2,-1]=>[4,5,3,2,1]=>0000
[-5,-4,3,-1,-2]=>[-4,-5,3,-2,-1]=>[4,5,3,2,1]=>0000
[-5,-4,-3,1,2]=>[4,5,-3,-2,-1]=>[4,5,3,2,1]=>0000
[-5,-4,-3,1,-2]=>[4,-5,-3,-2,-1]=>[4,5,3,2,1]=>0000
[-5,-4,-3,-1,2]=>[-4,5,-3,-2,-1]=>[4,5,3,2,1]=>0000
[-5,-4,-3,-1,-2]=>[-4,-5,-3,-2,-1]=>[4,5,3,2,1]=>0000
[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>0000
[5,4,3,2,-1]=>[-5,4,3,2,1]=>[5,4,3,2,1]=>0000
[5,4,3,-2,1]=>[5,-4,3,2,1]=>[5,4,3,2,1]=>0000
[5,4,3,-2,-1]=>[-5,-4,3,2,1]=>[5,4,3,2,1]=>0000
[5,4,-3,2,1]=>[5,4,-3,2,1]=>[5,4,3,2,1]=>0000
[5,4,-3,2,-1]=>[-5,4,-3,2,1]=>[5,4,3,2,1]=>0000
[5,4,-3,-2,1]=>[5,-4,-3,2,1]=>[5,4,3,2,1]=>0000
[5,4,-3,-2,-1]=>[-5,-4,-3,2,1]=>[5,4,3,2,1]=>0000
[5,-4,3,2,1]=>[5,4,3,-2,1]=>[5,4,3,2,1]=>0000
[5,-4,3,2,-1]=>[-5,4,3,-2,1]=>[5,4,3,2,1]=>0000
[5,-4,3,-2,1]=>[5,-4,3,-2,1]=>[5,4,3,2,1]=>0000
[5,-4,3,-2,-1]=>[-5,-4,3,-2,1]=>[5,4,3,2,1]=>0000
[5,-4,-3,2,1]=>[5,4,-3,-2,1]=>[5,4,3,2,1]=>0000
[5,-4,-3,2,-1]=>[-5,4,-3,-2,1]=>[5,4,3,2,1]=>0000
[5,-4,-3,-2,1]=>[5,-4,-3,-2,1]=>[5,4,3,2,1]=>0000
[5,-4,-3,-2,-1]=>[-5,-4,-3,-2,1]=>[5,4,3,2,1]=>0000
[-5,4,3,2,1]=>[5,4,3,2,-1]=>[5,4,3,2,1]=>0000
[-5,4,3,2,-1]=>[-5,4,3,2,-1]=>[5,4,3,2,1]=>0000
[-5,4,3,-2,1]=>[5,-4,3,2,-1]=>[5,4,3,2,1]=>0000
[-5,4,3,-2,-1]=>[-5,-4,3,2,-1]=>[5,4,3,2,1]=>0000
[-5,4,-3,2,1]=>[5,4,-3,2,-1]=>[5,4,3,2,1]=>0000
[-5,4,-3,2,-1]=>[-5,4,-3,2,-1]=>[5,4,3,2,1]=>0000
[-5,4,-3,-2,1]=>[5,-4,-3,2,-1]=>[5,4,3,2,1]=>0000
[-5,4,-3,-2,-1]=>[-5,-4,-3,2,-1]=>[5,4,3,2,1]=>0000
[-5,-4,3,2,1]=>[5,4,3,-2,-1]=>[5,4,3,2,1]=>0000
[-5,-4,3,2,-1]=>[-5,4,3,-2,-1]=>[5,4,3,2,1]=>0000
[-5,-4,3,-2,1]=>[5,-4,3,-2,-1]=>[5,4,3,2,1]=>0000
[-5,-4,3,-2,-1]=>[-5,-4,3,-2,-1]=>[5,4,3,2,1]=>0000
[-5,-4,-3,2,1]=>[5,4,-3,-2,-1]=>[5,4,3,2,1]=>0000
[-5,-4,-3,2,-1]=>[-5,4,-3,-2,-1]=>[5,4,3,2,1]=>0000
[-5,-4,-3,-2,1]=>[5,-4,-3,-2,-1]=>[5,4,3,2,1]=>0000
[-5,-4,-3,-2,-1]=>[-5,-4,-3,-2,-1]=>[5,4,3,2,1]=>0000
Map
inverse
Description
The inverse of a signed permutation.
Map
permutation
Description
The permutation obtained by forgetting the colours.
Map
connectivity set
Description
The connectivity set of a permutation as a binary word.
According to [2], also known as the global ascent set.
The connectivity set is
$$C(\pi)=\{i\in [n-1] | \forall 1 \leq j \leq i < k \leq n : \pi(j) < \pi(k)\}.$$
For $n > 1$ it can also be described as the set of occurrences of the mesh pattern
$$([1,2], \{(0,2),(1,0),(1,1),(2,0),(2,1) \})$$
or equivalently
$$([1,2], \{(0,1),(0,2),(1,1),(1,2),(2,0) \}),$$
see [3].
The permutation is connected, when the connectivity set is empty.
According to [2], also known as the global ascent set.
The connectivity set is
$$C(\pi)=\{i\in [n-1] | \forall 1 \leq j \leq i < k \leq n : \pi(j) < \pi(k)\}.$$
For $n > 1$ it can also be described as the set of occurrences of the mesh pattern
$$([1,2], \{(0,2),(1,0),(1,1),(2,0),(2,1) \})$$
or equivalently
$$([1,2], \{(0,1),(0,2),(1,1),(1,2),(2,0) \}),$$
see [3].
The permutation is connected, when the connectivity set is empty.
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