Identifier
Mp00163:
Signed permutations
—permutation⟶
Permutations
Mp00114: Permutations —connectivity set⟶ Binary words
Mp00114: Permutations —connectivity set⟶ Binary words
Images
=>
[1]=>[1]=>
[-1]=>[1]=>
[1,2]=>[1,2]=>1
[1,-2]=>[1,2]=>1
[-1,2]=>[1,2]=>1
[-1,-2]=>[1,2]=>1
[2,1]=>[2,1]=>0
[2,-1]=>[2,1]=>0
[-2,1]=>[2,1]=>0
[-2,-1]=>[2,1]=>0
[1,2,3]=>[1,2,3]=>11
[1,2,-3]=>[1,2,3]=>11
[1,-2,3]=>[1,2,3]=>11
[1,-2,-3]=>[1,2,3]=>11
[-1,2,3]=>[1,2,3]=>11
[-1,2,-3]=>[1,2,3]=>11
[-1,-2,3]=>[1,2,3]=>11
[-1,-2,-3]=>[1,2,3]=>11
[1,3,2]=>[1,3,2]=>10
[1,3,-2]=>[1,3,2]=>10
[1,-3,2]=>[1,3,2]=>10
[1,-3,-2]=>[1,3,2]=>10
[-1,3,2]=>[1,3,2]=>10
[-1,3,-2]=>[1,3,2]=>10
[-1,-3,2]=>[1,3,2]=>10
[-1,-3,-2]=>[1,3,2]=>10
[2,1,3]=>[2,1,3]=>01
[2,1,-3]=>[2,1,3]=>01
[2,-1,3]=>[2,1,3]=>01
[2,-1,-3]=>[2,1,3]=>01
[-2,1,3]=>[2,1,3]=>01
[-2,1,-3]=>[2,1,3]=>01
[-2,-1,3]=>[2,1,3]=>01
[-2,-1,-3]=>[2,1,3]=>01
[2,3,1]=>[2,3,1]=>00
[2,3,-1]=>[2,3,1]=>00
[2,-3,1]=>[2,3,1]=>00
[2,-3,-1]=>[2,3,1]=>00
[-2,3,1]=>[2,3,1]=>00
[-2,3,-1]=>[2,3,1]=>00
[-2,-3,1]=>[2,3,1]=>00
[-2,-3,-1]=>[2,3,1]=>00
[3,1,2]=>[3,1,2]=>00
[3,1,-2]=>[3,1,2]=>00
[3,-1,2]=>[3,1,2]=>00
[3,-1,-2]=>[3,1,2]=>00
[-3,1,2]=>[3,1,2]=>00
[-3,1,-2]=>[3,1,2]=>00
[-3,-1,2]=>[3,1,2]=>00
[-3,-1,-2]=>[3,1,2]=>00
[3,2,1]=>[3,2,1]=>00
[3,2,-1]=>[3,2,1]=>00
[3,-2,1]=>[3,2,1]=>00
[3,-2,-1]=>[3,2,1]=>00
[-3,2,1]=>[3,2,1]=>00
[-3,2,-1]=>[3,2,1]=>00
[-3,-2,1]=>[3,2,1]=>00
[-3,-2,-1]=>[3,2,1]=>00
[1,2,3,4]=>[1,2,3,4]=>111
[1,2,3,-4]=>[1,2,3,4]=>111
[1,2,-3,4]=>[1,2,3,4]=>111
[1,2,-3,-4]=>[1,2,3,4]=>111
[1,-2,3,4]=>[1,2,3,4]=>111
[1,-2,3,-4]=>[1,2,3,4]=>111
[1,-2,-3,4]=>[1,2,3,4]=>111
[1,-2,-3,-4]=>[1,2,3,4]=>111
[-1,2,3,4]=>[1,2,3,4]=>111
[-1,2,3,-4]=>[1,2,3,4]=>111
[-1,2,-3,4]=>[1,2,3,4]=>111
[-1,2,-3,-4]=>[1,2,3,4]=>111
[-1,-2,3,4]=>[1,2,3,4]=>111
[-1,-2,3,-4]=>[1,2,3,4]=>111
[-1,-2,-3,4]=>[1,2,3,4]=>111
[-1,-2,-3,-4]=>[1,2,3,4]=>111
[1,2,4,3]=>[1,2,4,3]=>110
[1,2,4,-3]=>[1,2,4,3]=>110
[1,2,-4,3]=>[1,2,4,3]=>110
[1,2,-4,-3]=>[1,2,4,3]=>110
[1,-2,4,3]=>[1,2,4,3]=>110
[1,-2,4,-3]=>[1,2,4,3]=>110
[1,-2,-4,3]=>[1,2,4,3]=>110
[1,-2,-4,-3]=>[1,2,4,3]=>110
[-1,2,4,3]=>[1,2,4,3]=>110
[-1,2,4,-3]=>[1,2,4,3]=>110
[-1,2,-4,3]=>[1,2,4,3]=>110
[-1,2,-4,-3]=>[1,2,4,3]=>110
[-1,-2,4,3]=>[1,2,4,3]=>110
[-1,-2,4,-3]=>[1,2,4,3]=>110
[-1,-2,-4,3]=>[1,2,4,3]=>110
[-1,-2,-4,-3]=>[1,2,4,3]=>110
[1,3,2,4]=>[1,3,2,4]=>101
[1,3,2,-4]=>[1,3,2,4]=>101
[1,3,-2,4]=>[1,3,2,4]=>101
[1,3,-2,-4]=>[1,3,2,4]=>101
[1,-3,2,4]=>[1,3,2,4]=>101
[1,-3,2,-4]=>[1,3,2,4]=>101
[1,-3,-2,4]=>[1,3,2,4]=>101
[1,-3,-2,-4]=>[1,3,2,4]=>101
[-1,3,2,4]=>[1,3,2,4]=>101
[-1,3,2,-4]=>[1,3,2,4]=>101
[-1,3,-2,4]=>[1,3,2,4]=>101
[-1,3,-2,-4]=>[1,3,2,4]=>101
[-1,-3,2,4]=>[1,3,2,4]=>101
[-1,-3,2,-4]=>[1,3,2,4]=>101
[-1,-3,-2,4]=>[1,3,2,4]=>101
[-1,-3,-2,-4]=>[1,3,2,4]=>101
[1,3,4,2]=>[1,3,4,2]=>100
[1,3,4,-2]=>[1,3,4,2]=>100
[1,3,-4,2]=>[1,3,4,2]=>100
[1,3,-4,-2]=>[1,3,4,2]=>100
[1,-3,4,2]=>[1,3,4,2]=>100
[1,-3,4,-2]=>[1,3,4,2]=>100
[1,-3,-4,2]=>[1,3,4,2]=>100
[1,-3,-4,-2]=>[1,3,4,2]=>100
[-1,3,4,2]=>[1,3,4,2]=>100
[-1,3,4,-2]=>[1,3,4,2]=>100
[-1,3,-4,2]=>[1,3,4,2]=>100
[-1,3,-4,-2]=>[1,3,4,2]=>100
[-1,-3,4,2]=>[1,3,4,2]=>100
[-1,-3,4,-2]=>[1,3,4,2]=>100
[-1,-3,-4,2]=>[1,3,4,2]=>100
[-1,-3,-4,-2]=>[1,3,4,2]=>100
[1,4,2,3]=>[1,4,2,3]=>100
[1,4,2,-3]=>[1,4,2,3]=>100
[1,4,-2,3]=>[1,4,2,3]=>100
[1,4,-2,-3]=>[1,4,2,3]=>100
[1,-4,2,3]=>[1,4,2,3]=>100
[1,-4,2,-3]=>[1,4,2,3]=>100
[1,-4,-2,3]=>[1,4,2,3]=>100
[1,-4,-2,-3]=>[1,4,2,3]=>100
[-1,4,2,3]=>[1,4,2,3]=>100
[-1,4,2,-3]=>[1,4,2,3]=>100
[-1,4,-2,3]=>[1,4,2,3]=>100
[-1,4,-2,-3]=>[1,4,2,3]=>100
[-1,-4,2,3]=>[1,4,2,3]=>100
[-1,-4,2,-3]=>[1,4,2,3]=>100
[-1,-4,-2,3]=>[1,4,2,3]=>100
[-1,-4,-2,-3]=>[1,4,2,3]=>100
[1,4,3,2]=>[1,4,3,2]=>100
[1,4,3,-2]=>[1,4,3,2]=>100
[1,4,-3,2]=>[1,4,3,2]=>100
[1,4,-3,-2]=>[1,4,3,2]=>100
[1,-4,3,2]=>[1,4,3,2]=>100
[1,-4,3,-2]=>[1,4,3,2]=>100
[1,-4,-3,2]=>[1,4,3,2]=>100
[1,-4,-3,-2]=>[1,4,3,2]=>100
[-1,4,3,2]=>[1,4,3,2]=>100
[-1,4,3,-2]=>[1,4,3,2]=>100
[-1,4,-3,2]=>[1,4,3,2]=>100
[-1,4,-3,-2]=>[1,4,3,2]=>100
[-1,-4,3,2]=>[1,4,3,2]=>100
[-1,-4,3,-2]=>[1,4,3,2]=>100
[-1,-4,-3,2]=>[1,4,3,2]=>100
[-1,-4,-3,-2]=>[1,4,3,2]=>100
[2,1,3,4]=>[2,1,3,4]=>011
[2,1,3,-4]=>[2,1,3,4]=>011
[2,1,-3,4]=>[2,1,3,4]=>011
[2,1,-3,-4]=>[2,1,3,4]=>011
[2,-1,3,4]=>[2,1,3,4]=>011
[2,-1,3,-4]=>[2,1,3,4]=>011
[2,-1,-3,4]=>[2,1,3,4]=>011
[2,-1,-3,-4]=>[2,1,3,4]=>011
[-2,1,3,4]=>[2,1,3,4]=>011
[-2,1,3,-4]=>[2,1,3,4]=>011
[-2,1,-3,4]=>[2,1,3,4]=>011
[-2,1,-3,-4]=>[2,1,3,4]=>011
[-2,-1,3,4]=>[2,1,3,4]=>011
[-2,-1,3,-4]=>[2,1,3,4]=>011
[-2,-1,-3,4]=>[2,1,3,4]=>011
[-2,-1,-3,-4]=>[2,1,3,4]=>011
[2,1,4,3]=>[2,1,4,3]=>010
[2,1,4,-3]=>[2,1,4,3]=>010
[2,1,-4,3]=>[2,1,4,3]=>010
[2,1,-4,-3]=>[2,1,4,3]=>010
[2,-1,4,3]=>[2,1,4,3]=>010
[2,-1,4,-3]=>[2,1,4,3]=>010
[2,-1,-4,3]=>[2,1,4,3]=>010
[2,-1,-4,-3]=>[2,1,4,3]=>010
[-2,1,4,3]=>[2,1,4,3]=>010
[-2,1,4,-3]=>[2,1,4,3]=>010
[-2,1,-4,3]=>[2,1,4,3]=>010
[-2,1,-4,-3]=>[2,1,4,3]=>010
[-2,-1,4,3]=>[2,1,4,3]=>010
[-2,-1,4,-3]=>[2,1,4,3]=>010
[-2,-1,-4,3]=>[2,1,4,3]=>010
[-2,-1,-4,-3]=>[2,1,4,3]=>010
[2,3,1,4]=>[2,3,1,4]=>001
[2,3,1,-4]=>[2,3,1,4]=>001
[2,3,-1,4]=>[2,3,1,4]=>001
[2,3,-1,-4]=>[2,3,1,4]=>001
[2,-3,1,4]=>[2,3,1,4]=>001
[2,-3,1,-4]=>[2,3,1,4]=>001
[2,-3,-1,4]=>[2,3,1,4]=>001
[2,-3,-1,-4]=>[2,3,1,4]=>001
[-2,3,1,4]=>[2,3,1,4]=>001
[-2,3,1,-4]=>[2,3,1,4]=>001
[-2,3,-1,4]=>[2,3,1,4]=>001
[-2,3,-1,-4]=>[2,3,1,4]=>001
[-2,-3,1,4]=>[2,3,1,4]=>001
[-2,-3,1,-4]=>[2,3,1,4]=>001
[-2,-3,-1,4]=>[2,3,1,4]=>001
[-2,-3,-1,-4]=>[2,3,1,4]=>001
[2,3,4,1]=>[2,3,4,1]=>000
[2,3,4,-1]=>[2,3,4,1]=>000
[2,3,-4,1]=>[2,3,4,1]=>000
[2,3,-4,-1]=>[2,3,4,1]=>000
[2,-3,4,1]=>[2,3,4,1]=>000
[2,-3,4,-1]=>[2,3,4,1]=>000
[2,-3,-4,1]=>[2,3,4,1]=>000
[2,-3,-4,-1]=>[2,3,4,1]=>000
[-2,3,4,1]=>[2,3,4,1]=>000
[-2,3,4,-1]=>[2,3,4,1]=>000
[-2,3,-4,1]=>[2,3,4,1]=>000
[-2,3,-4,-1]=>[2,3,4,1]=>000
[-2,-3,4,1]=>[2,3,4,1]=>000
[-2,-3,4,-1]=>[2,3,4,1]=>000
[-2,-3,-4,1]=>[2,3,4,1]=>000
[-2,-3,-4,-1]=>[2,3,4,1]=>000
[2,4,1,3]=>[2,4,1,3]=>000
[2,4,1,-3]=>[2,4,1,3]=>000
[2,4,-1,3]=>[2,4,1,3]=>000
[2,4,-1,-3]=>[2,4,1,3]=>000
[2,-4,1,3]=>[2,4,1,3]=>000
[2,-4,1,-3]=>[2,4,1,3]=>000
[2,-4,-1,3]=>[2,4,1,3]=>000
[2,-4,-1,-3]=>[2,4,1,3]=>000
[-2,4,1,3]=>[2,4,1,3]=>000
[-2,4,1,-3]=>[2,4,1,3]=>000
[-2,4,-1,3]=>[2,4,1,3]=>000
[-2,4,-1,-3]=>[2,4,1,3]=>000
[-2,-4,1,3]=>[2,4,1,3]=>000
[-2,-4,1,-3]=>[2,4,1,3]=>000
[-2,-4,-1,3]=>[2,4,1,3]=>000
[-2,-4,-1,-3]=>[2,4,1,3]=>000
[2,4,3,1]=>[2,4,3,1]=>000
[2,4,3,-1]=>[2,4,3,1]=>000
[2,4,-3,1]=>[2,4,3,1]=>000
[2,4,-3,-1]=>[2,4,3,1]=>000
[2,-4,3,1]=>[2,4,3,1]=>000
[2,-4,3,-1]=>[2,4,3,1]=>000
[2,-4,-3,1]=>[2,4,3,1]=>000
[2,-4,-3,-1]=>[2,4,3,1]=>000
[-2,4,3,1]=>[2,4,3,1]=>000
[-2,4,3,-1]=>[2,4,3,1]=>000
[-2,4,-3,1]=>[2,4,3,1]=>000
[-2,4,-3,-1]=>[2,4,3,1]=>000
[-2,-4,3,1]=>[2,4,3,1]=>000
[-2,-4,3,-1]=>[2,4,3,1]=>000
[-2,-4,-3,1]=>[2,4,3,1]=>000
[-2,-4,-3,-1]=>[2,4,3,1]=>000
[3,1,2,4]=>[3,1,2,4]=>001
[3,1,2,-4]=>[3,1,2,4]=>001
[3,1,-2,4]=>[3,1,2,4]=>001
[3,1,-2,-4]=>[3,1,2,4]=>001
[3,-1,2,4]=>[3,1,2,4]=>001
[3,-1,2,-4]=>[3,1,2,4]=>001
[3,-1,-2,4]=>[3,1,2,4]=>001
[3,-1,-2,-4]=>[3,1,2,4]=>001
[-3,1,2,4]=>[3,1,2,4]=>001
[-3,1,2,-4]=>[3,1,2,4]=>001
[-3,1,-2,4]=>[3,1,2,4]=>001
[-3,1,-2,-4]=>[3,1,2,4]=>001
[-3,-1,2,4]=>[3,1,2,4]=>001
[-3,-1,2,-4]=>[3,1,2,4]=>001
[-3,-1,-2,4]=>[3,1,2,4]=>001
[-3,-1,-2,-4]=>[3,1,2,4]=>001
[3,1,4,2]=>[3,1,4,2]=>000
[3,1,4,-2]=>[3,1,4,2]=>000
[3,1,-4,2]=>[3,1,4,2]=>000
[3,1,-4,-2]=>[3,1,4,2]=>000
[3,-1,4,2]=>[3,1,4,2]=>000
[3,-1,4,-2]=>[3,1,4,2]=>000
[3,-1,-4,2]=>[3,1,4,2]=>000
[3,-1,-4,-2]=>[3,1,4,2]=>000
[-3,1,4,2]=>[3,1,4,2]=>000
[-3,1,4,-2]=>[3,1,4,2]=>000
[-3,1,-4,2]=>[3,1,4,2]=>000
[-3,1,-4,-2]=>[3,1,4,2]=>000
[-3,-1,4,2]=>[3,1,4,2]=>000
[-3,-1,4,-2]=>[3,1,4,2]=>000
[-3,-1,-4,2]=>[3,1,4,2]=>000
[-3,-1,-4,-2]=>[3,1,4,2]=>000
[3,2,1,4]=>[3,2,1,4]=>001
[3,2,1,-4]=>[3,2,1,4]=>001
[3,2,-1,4]=>[3,2,1,4]=>001
[3,2,-1,-4]=>[3,2,1,4]=>001
[3,-2,1,4]=>[3,2,1,4]=>001
[3,-2,1,-4]=>[3,2,1,4]=>001
[3,-2,-1,4]=>[3,2,1,4]=>001
[3,-2,-1,-4]=>[3,2,1,4]=>001
[-3,2,1,4]=>[3,2,1,4]=>001
[-3,2,1,-4]=>[3,2,1,4]=>001
[-3,2,-1,4]=>[3,2,1,4]=>001
[-3,2,-1,-4]=>[3,2,1,4]=>001
[-3,-2,1,4]=>[3,2,1,4]=>001
[-3,-2,1,-4]=>[3,2,1,4]=>001
[-3,-2,-1,4]=>[3,2,1,4]=>001
[-3,-2,-1,-4]=>[3,2,1,4]=>001
[3,2,4,1]=>[3,2,4,1]=>000
[3,2,4,-1]=>[3,2,4,1]=>000
[3,2,-4,1]=>[3,2,4,1]=>000
[3,2,-4,-1]=>[3,2,4,1]=>000
[3,-2,4,1]=>[3,2,4,1]=>000
[3,-2,4,-1]=>[3,2,4,1]=>000
[3,-2,-4,1]=>[3,2,4,1]=>000
[3,-2,-4,-1]=>[3,2,4,1]=>000
[-3,2,4,1]=>[3,2,4,1]=>000
[-3,2,4,-1]=>[3,2,4,1]=>000
[-3,2,-4,1]=>[3,2,4,1]=>000
[-3,2,-4,-1]=>[3,2,4,1]=>000
[-3,-2,4,1]=>[3,2,4,1]=>000
[-3,-2,4,-1]=>[3,2,4,1]=>000
[-3,-2,-4,1]=>[3,2,4,1]=>000
[-3,-2,-4,-1]=>[3,2,4,1]=>000
[3,4,1,2]=>[3,4,1,2]=>000
[3,4,1,-2]=>[3,4,1,2]=>000
[3,4,-1,2]=>[3,4,1,2]=>000
[3,4,-1,-2]=>[3,4,1,2]=>000
[3,-4,1,2]=>[3,4,1,2]=>000
[3,-4,1,-2]=>[3,4,1,2]=>000
[3,-4,-1,2]=>[3,4,1,2]=>000
[3,-4,-1,-2]=>[3,4,1,2]=>000
[-3,4,1,2]=>[3,4,1,2]=>000
[-3,4,1,-2]=>[3,4,1,2]=>000
[-3,4,-1,2]=>[3,4,1,2]=>000
[-3,4,-1,-2]=>[3,4,1,2]=>000
[-3,-4,1,2]=>[3,4,1,2]=>000
[-3,-4,1,-2]=>[3,4,1,2]=>000
[-3,-4,-1,2]=>[3,4,1,2]=>000
[-3,-4,-1,-2]=>[3,4,1,2]=>000
[3,4,2,1]=>[3,4,2,1]=>000
[3,4,2,-1]=>[3,4,2,1]=>000
[3,4,-2,1]=>[3,4,2,1]=>000
[3,4,-2,-1]=>[3,4,2,1]=>000
[3,-4,2,1]=>[3,4,2,1]=>000
[3,-4,2,-1]=>[3,4,2,1]=>000
[3,-4,-2,1]=>[3,4,2,1]=>000
[3,-4,-2,-1]=>[3,4,2,1]=>000
[-3,4,2,1]=>[3,4,2,1]=>000
[-3,4,2,-1]=>[3,4,2,1]=>000
[-3,4,-2,1]=>[3,4,2,1]=>000
[-3,4,-2,-1]=>[3,4,2,1]=>000
[-3,-4,2,1]=>[3,4,2,1]=>000
[-3,-4,2,-1]=>[3,4,2,1]=>000
[-3,-4,-2,1]=>[3,4,2,1]=>000
[-3,-4,-2,-1]=>[3,4,2,1]=>000
[4,1,2,3]=>[4,1,2,3]=>000
[4,1,2,-3]=>[4,1,2,3]=>000
[4,1,-2,3]=>[4,1,2,3]=>000
[4,1,-2,-3]=>[4,1,2,3]=>000
[4,-1,2,3]=>[4,1,2,3]=>000
[4,-1,2,-3]=>[4,1,2,3]=>000
[4,-1,-2,3]=>[4,1,2,3]=>000
[4,-1,-2,-3]=>[4,1,2,3]=>000
[-4,1,2,3]=>[4,1,2,3]=>000
[-4,1,2,-3]=>[4,1,2,3]=>000
[-4,1,-2,3]=>[4,1,2,3]=>000
[-4,1,-2,-3]=>[4,1,2,3]=>000
[-4,-1,2,3]=>[4,1,2,3]=>000
[-4,-1,2,-3]=>[4,1,2,3]=>000
[-4,-1,-2,3]=>[4,1,2,3]=>000
[-4,-1,-2,-3]=>[4,1,2,3]=>000
[4,1,3,2]=>[4,1,3,2]=>000
[4,1,3,-2]=>[4,1,3,2]=>000
[4,1,-3,2]=>[4,1,3,2]=>000
[4,1,-3,-2]=>[4,1,3,2]=>000
[4,-1,3,2]=>[4,1,3,2]=>000
[4,-1,3,-2]=>[4,1,3,2]=>000
[4,-1,-3,2]=>[4,1,3,2]=>000
[4,-1,-3,-2]=>[4,1,3,2]=>000
[-4,1,3,2]=>[4,1,3,2]=>000
[-4,1,3,-2]=>[4,1,3,2]=>000
[-4,1,-3,2]=>[4,1,3,2]=>000
[-4,1,-3,-2]=>[4,1,3,2]=>000
[-4,-1,3,2]=>[4,1,3,2]=>000
[-4,-1,3,-2]=>[4,1,3,2]=>000
[-4,-1,-3,2]=>[4,1,3,2]=>000
[-4,-1,-3,-2]=>[4,1,3,2]=>000
[4,2,1,3]=>[4,2,1,3]=>000
[4,2,1,-3]=>[4,2,1,3]=>000
[4,2,-1,3]=>[4,2,1,3]=>000
[4,2,-1,-3]=>[4,2,1,3]=>000
[4,-2,1,3]=>[4,2,1,3]=>000
[4,-2,1,-3]=>[4,2,1,3]=>000
[4,-2,-1,3]=>[4,2,1,3]=>000
[4,-2,-1,-3]=>[4,2,1,3]=>000
[-4,2,1,3]=>[4,2,1,3]=>000
[-4,2,1,-3]=>[4,2,1,3]=>000
[-4,2,-1,3]=>[4,2,1,3]=>000
[-4,2,-1,-3]=>[4,2,1,3]=>000
[-4,-2,1,3]=>[4,2,1,3]=>000
[-4,-2,1,-3]=>[4,2,1,3]=>000
[-4,-2,-1,3]=>[4,2,1,3]=>000
[-4,-2,-1,-3]=>[4,2,1,3]=>000
[4,2,3,1]=>[4,2,3,1]=>000
[4,2,3,-1]=>[4,2,3,1]=>000
[4,2,-3,1]=>[4,2,3,1]=>000
[4,2,-3,-1]=>[4,2,3,1]=>000
[4,-2,3,1]=>[4,2,3,1]=>000
[4,-2,3,-1]=>[4,2,3,1]=>000
[4,-2,-3,1]=>[4,2,3,1]=>000
[4,-2,-3,-1]=>[4,2,3,1]=>000
[-4,2,3,1]=>[4,2,3,1]=>000
[-4,2,3,-1]=>[4,2,3,1]=>000
[-4,2,-3,1]=>[4,2,3,1]=>000
[-4,2,-3,-1]=>[4,2,3,1]=>000
[-4,-2,3,1]=>[4,2,3,1]=>000
[-4,-2,3,-1]=>[4,2,3,1]=>000
[-4,-2,-3,1]=>[4,2,3,1]=>000
[-4,-2,-3,-1]=>[4,2,3,1]=>000
[4,3,1,2]=>[4,3,1,2]=>000
[4,3,1,-2]=>[4,3,1,2]=>000
[4,3,-1,2]=>[4,3,1,2]=>000
[4,3,-1,-2]=>[4,3,1,2]=>000
[4,-3,1,2]=>[4,3,1,2]=>000
[4,-3,1,-2]=>[4,3,1,2]=>000
[4,-3,-1,2]=>[4,3,1,2]=>000
[4,-3,-1,-2]=>[4,3,1,2]=>000
[-4,3,1,2]=>[4,3,1,2]=>000
[-4,3,1,-2]=>[4,3,1,2]=>000
[-4,3,-1,2]=>[4,3,1,2]=>000
[-4,3,-1,-2]=>[4,3,1,2]=>000
[-4,-3,1,2]=>[4,3,1,2]=>000
[-4,-3,1,-2]=>[4,3,1,2]=>000
[-4,-3,-1,2]=>[4,3,1,2]=>000
[-4,-3,-1,-2]=>[4,3,1,2]=>000
[4,3,2,1]=>[4,3,2,1]=>000
[4,3,2,-1]=>[4,3,2,1]=>000
[4,3,-2,1]=>[4,3,2,1]=>000
[4,3,-2,-1]=>[4,3,2,1]=>000
[4,-3,2,1]=>[4,3,2,1]=>000
[4,-3,2,-1]=>[4,3,2,1]=>000
[4,-3,-2,1]=>[4,3,2,1]=>000
[4,-3,-2,-1]=>[4,3,2,1]=>000
[-4,3,2,1]=>[4,3,2,1]=>000
[-4,3,2,-1]=>[4,3,2,1]=>000
[-4,3,-2,1]=>[4,3,2,1]=>000
[-4,3,-2,-1]=>[4,3,2,1]=>000
[-4,-3,2,1]=>[4,3,2,1]=>000
[-4,-3,2,-1]=>[4,3,2,1]=>000
[-4,-3,-2,1]=>[4,3,2,1]=>000
[-4,-3,-2,-1]=>[4,3,2,1]=>000
[1,2,3,4,5]=>[1,2,3,4,5]=>1111
[1,2,3,4,-5]=>[1,2,3,4,5]=>1111
[1,2,3,-4,5]=>[1,2,3,4,5]=>1111
[1,2,3,-4,-5]=>[1,2,3,4,5]=>1111
[1,2,-3,4,5]=>[1,2,3,4,5]=>1111
[1,2,-3,4,-5]=>[1,2,3,4,5]=>1111
[1,2,-3,-4,5]=>[1,2,3,4,5]=>1111
[1,2,-3,-4,-5]=>[1,2,3,4,5]=>1111
[1,-2,3,4,5]=>[1,2,3,4,5]=>1111
[1,-2,3,4,-5]=>[1,2,3,4,5]=>1111
[1,-2,3,-4,5]=>[1,2,3,4,5]=>1111
[1,-2,3,-4,-5]=>[1,2,3,4,5]=>1111
[1,-2,-3,4,5]=>[1,2,3,4,5]=>1111
[1,-2,-3,4,-5]=>[1,2,3,4,5]=>1111
[1,-2,-3,-4,5]=>[1,2,3,4,5]=>1111
[1,-2,-3,-4,-5]=>[1,2,3,4,5]=>1111
[-1,2,3,4,5]=>[1,2,3,4,5]=>1111
[-1,2,3,4,-5]=>[1,2,3,4,5]=>1111
[-1,2,3,-4,5]=>[1,2,3,4,5]=>1111
[-1,2,3,-4,-5]=>[1,2,3,4,5]=>1111
[-1,2,-3,4,5]=>[1,2,3,4,5]=>1111
[-1,2,-3,4,-5]=>[1,2,3,4,5]=>1111
[-1,2,-3,-4,5]=>[1,2,3,4,5]=>1111
[-1,2,-3,-4,-5]=>[1,2,3,4,5]=>1111
[-1,-2,3,4,5]=>[1,2,3,4,5]=>1111
[-1,-2,3,4,-5]=>[1,2,3,4,5]=>1111
[-1,-2,3,-4,5]=>[1,2,3,4,5]=>1111
[-1,-2,3,-4,-5]=>[1,2,3,4,5]=>1111
[-1,-2,-3,4,5]=>[1,2,3,4,5]=>1111
[-1,-2,-3,4,-5]=>[1,2,3,4,5]=>1111
[-1,-2,-3,-4,5]=>[1,2,3,4,5]=>1111
[-1,-2,-3,-4,-5]=>[1,2,3,4,5]=>1111
[1,2,3,5,4]=>[1,2,3,5,4]=>1110
[1,2,3,5,-4]=>[1,2,3,5,4]=>1110
[1,2,3,-5,4]=>[1,2,3,5,4]=>1110
[1,2,3,-5,-4]=>[1,2,3,5,4]=>1110
[1,2,-3,5,4]=>[1,2,3,5,4]=>1110
[1,2,-3,5,-4]=>[1,2,3,5,4]=>1110
[1,2,-3,-5,4]=>[1,2,3,5,4]=>1110
[1,2,-3,-5,-4]=>[1,2,3,5,4]=>1110
[1,-2,3,5,4]=>[1,2,3,5,4]=>1110
[1,-2,3,5,-4]=>[1,2,3,5,4]=>1110
[1,-2,3,-5,4]=>[1,2,3,5,4]=>1110
[1,-2,3,-5,-4]=>[1,2,3,5,4]=>1110
[1,-2,-3,5,4]=>[1,2,3,5,4]=>1110
[1,-2,-3,5,-4]=>[1,2,3,5,4]=>1110
[1,-2,-3,-5,4]=>[1,2,3,5,4]=>1110
[1,-2,-3,-5,-4]=>[1,2,3,5,4]=>1110
[-1,2,3,5,4]=>[1,2,3,5,4]=>1110
[-1,2,3,5,-4]=>[1,2,3,5,4]=>1110
[-1,2,3,-5,4]=>[1,2,3,5,4]=>1110
[-1,2,3,-5,-4]=>[1,2,3,5,4]=>1110
[-1,2,-3,5,4]=>[1,2,3,5,4]=>1110
[-1,2,-3,5,-4]=>[1,2,3,5,4]=>1110
[-1,2,-3,-5,4]=>[1,2,3,5,4]=>1110
[-1,2,-3,-5,-4]=>[1,2,3,5,4]=>1110
[-1,-2,3,5,4]=>[1,2,3,5,4]=>1110
[-1,-2,3,5,-4]=>[1,2,3,5,4]=>1110
[-1,-2,3,-5,4]=>[1,2,3,5,4]=>1110
[-1,-2,3,-5,-4]=>[1,2,3,5,4]=>1110
[-1,-2,-3,5,4]=>[1,2,3,5,4]=>1110
[-1,-2,-3,5,-4]=>[1,2,3,5,4]=>1110
[-1,-2,-3,-5,4]=>[1,2,3,5,4]=>1110
[-1,-2,-3,-5,-4]=>[1,2,3,5,4]=>1110
[1,2,4,3,5]=>[1,2,4,3,5]=>1101
[1,2,4,3,-5]=>[1,2,4,3,5]=>1101
[1,2,4,-3,5]=>[1,2,4,3,5]=>1101
[1,2,4,-3,-5]=>[1,2,4,3,5]=>1101
[1,2,-4,3,5]=>[1,2,4,3,5]=>1101
[1,2,-4,3,-5]=>[1,2,4,3,5]=>1101
[1,2,-4,-3,5]=>[1,2,4,3,5]=>1101
[1,2,-4,-3,-5]=>[1,2,4,3,5]=>1101
[1,-2,4,3,5]=>[1,2,4,3,5]=>1101
[1,-2,4,3,-5]=>[1,2,4,3,5]=>1101
[1,-2,4,-3,5]=>[1,2,4,3,5]=>1101
[1,-2,4,-3,-5]=>[1,2,4,3,5]=>1101
[1,-2,-4,3,5]=>[1,2,4,3,5]=>1101
[1,-2,-4,3,-5]=>[1,2,4,3,5]=>1101
[1,-2,-4,-3,5]=>[1,2,4,3,5]=>1101
[1,-2,-4,-3,-5]=>[1,2,4,3,5]=>1101
[-1,2,4,3,5]=>[1,2,4,3,5]=>1101
[-1,2,4,3,-5]=>[1,2,4,3,5]=>1101
[-1,2,4,-3,5]=>[1,2,4,3,5]=>1101
[-1,2,4,-3,-5]=>[1,2,4,3,5]=>1101
[-1,2,-4,3,5]=>[1,2,4,3,5]=>1101
[-1,2,-4,3,-5]=>[1,2,4,3,5]=>1101
[-1,2,-4,-3,5]=>[1,2,4,3,5]=>1101
[-1,2,-4,-3,-5]=>[1,2,4,3,5]=>1101
[-1,-2,4,3,5]=>[1,2,4,3,5]=>1101
[-1,-2,4,3,-5]=>[1,2,4,3,5]=>1101
[-1,-2,4,-3,5]=>[1,2,4,3,5]=>1101
[-1,-2,4,-3,-5]=>[1,2,4,3,5]=>1101
[-1,-2,-4,3,5]=>[1,2,4,3,5]=>1101
[-1,-2,-4,3,-5]=>[1,2,4,3,5]=>1101
[-1,-2,-4,-3,5]=>[1,2,4,3,5]=>1101
[-1,-2,-4,-3,-5]=>[1,2,4,3,5]=>1101
[1,2,4,5,3]=>[1,2,4,5,3]=>1100
[1,2,4,5,-3]=>[1,2,4,5,3]=>1100
[1,2,4,-5,3]=>[1,2,4,5,3]=>1100
[1,2,4,-5,-3]=>[1,2,4,5,3]=>1100
[1,2,-4,5,3]=>[1,2,4,5,3]=>1100
[1,2,-4,5,-3]=>[1,2,4,5,3]=>1100
[1,2,-4,-5,3]=>[1,2,4,5,3]=>1100
[1,2,-4,-5,-3]=>[1,2,4,5,3]=>1100
[1,-2,4,5,3]=>[1,2,4,5,3]=>1100
[1,-2,4,5,-3]=>[1,2,4,5,3]=>1100
[1,-2,4,-5,3]=>[1,2,4,5,3]=>1100
[1,-2,4,-5,-3]=>[1,2,4,5,3]=>1100
[1,-2,-4,5,3]=>[1,2,4,5,3]=>1100
[1,-2,-4,5,-3]=>[1,2,4,5,3]=>1100
[1,-2,-4,-5,3]=>[1,2,4,5,3]=>1100
[1,-2,-4,-5,-3]=>[1,2,4,5,3]=>1100
[-1,2,4,5,3]=>[1,2,4,5,3]=>1100
[-1,2,4,5,-3]=>[1,2,4,5,3]=>1100
[-1,2,4,-5,3]=>[1,2,4,5,3]=>1100
[-1,2,4,-5,-3]=>[1,2,4,5,3]=>1100
[-1,2,-4,5,3]=>[1,2,4,5,3]=>1100
[-1,2,-4,5,-3]=>[1,2,4,5,3]=>1100
[-1,2,-4,-5,3]=>[1,2,4,5,3]=>1100
[-1,2,-4,-5,-3]=>[1,2,4,5,3]=>1100
[-1,-2,4,5,3]=>[1,2,4,5,3]=>1100
[-1,-2,4,5,-3]=>[1,2,4,5,3]=>1100
[-1,-2,4,-5,3]=>[1,2,4,5,3]=>1100
[-1,-2,4,-5,-3]=>[1,2,4,5,3]=>1100
[-1,-2,-4,5,3]=>[1,2,4,5,3]=>1100
[-1,-2,-4,5,-3]=>[1,2,4,5,3]=>1100
[-1,-2,-4,-5,3]=>[1,2,4,5,3]=>1100
[-1,-2,-4,-5,-3]=>[1,2,4,5,3]=>1100
[1,2,5,3,4]=>[1,2,5,3,4]=>1100
[1,2,5,3,-4]=>[1,2,5,3,4]=>1100
[1,2,5,-3,4]=>[1,2,5,3,4]=>1100
[1,2,5,-3,-4]=>[1,2,5,3,4]=>1100
[1,2,-5,3,4]=>[1,2,5,3,4]=>1100
[1,2,-5,3,-4]=>[1,2,5,3,4]=>1100
[1,2,-5,-3,4]=>[1,2,5,3,4]=>1100
[1,2,-5,-3,-4]=>[1,2,5,3,4]=>1100
[1,-2,5,3,4]=>[1,2,5,3,4]=>1100
[1,-2,5,3,-4]=>[1,2,5,3,4]=>1100
[1,-2,5,-3,4]=>[1,2,5,3,4]=>1100
[1,-2,5,-3,-4]=>[1,2,5,3,4]=>1100
[1,-2,-5,3,4]=>[1,2,5,3,4]=>1100
[1,-2,-5,3,-4]=>[1,2,5,3,4]=>1100
[1,-2,-5,-3,4]=>[1,2,5,3,4]=>1100
[1,-2,-5,-3,-4]=>[1,2,5,3,4]=>1100
[-1,2,5,3,4]=>[1,2,5,3,4]=>1100
[-1,2,5,3,-4]=>[1,2,5,3,4]=>1100
[-1,2,5,-3,4]=>[1,2,5,3,4]=>1100
[-1,2,5,-3,-4]=>[1,2,5,3,4]=>1100
[-1,2,-5,3,4]=>[1,2,5,3,4]=>1100
[-1,2,-5,3,-4]=>[1,2,5,3,4]=>1100
[-1,2,-5,-3,4]=>[1,2,5,3,4]=>1100
[-1,2,-5,-3,-4]=>[1,2,5,3,4]=>1100
[-1,-2,5,3,4]=>[1,2,5,3,4]=>1100
[-1,-2,5,3,-4]=>[1,2,5,3,4]=>1100
[-1,-2,5,-3,4]=>[1,2,5,3,4]=>1100
[-1,-2,5,-3,-4]=>[1,2,5,3,4]=>1100
[-1,-2,-5,3,4]=>[1,2,5,3,4]=>1100
[-1,-2,-5,3,-4]=>[1,2,5,3,4]=>1100
[-1,-2,-5,-3,4]=>[1,2,5,3,4]=>1100
[-1,-2,-5,-3,-4]=>[1,2,5,3,4]=>1100
[1,2,5,4,3]=>[1,2,5,4,3]=>1100
[1,2,5,4,-3]=>[1,2,5,4,3]=>1100
[1,2,5,-4,3]=>[1,2,5,4,3]=>1100
[1,2,5,-4,-3]=>[1,2,5,4,3]=>1100
[1,2,-5,4,3]=>[1,2,5,4,3]=>1100
[1,2,-5,4,-3]=>[1,2,5,4,3]=>1100
[1,2,-5,-4,3]=>[1,2,5,4,3]=>1100
[1,2,-5,-4,-3]=>[1,2,5,4,3]=>1100
[1,-2,5,4,3]=>[1,2,5,4,3]=>1100
[1,-2,5,4,-3]=>[1,2,5,4,3]=>1100
[1,-2,5,-4,3]=>[1,2,5,4,3]=>1100
[1,-2,5,-4,-3]=>[1,2,5,4,3]=>1100
[1,-2,-5,4,3]=>[1,2,5,4,3]=>1100
[1,-2,-5,4,-3]=>[1,2,5,4,3]=>1100
[1,-2,-5,-4,3]=>[1,2,5,4,3]=>1100
[1,-2,-5,-4,-3]=>[1,2,5,4,3]=>1100
[-1,2,5,4,3]=>[1,2,5,4,3]=>1100
[-1,2,5,4,-3]=>[1,2,5,4,3]=>1100
[-1,2,5,-4,3]=>[1,2,5,4,3]=>1100
[-1,2,5,-4,-3]=>[1,2,5,4,3]=>1100
[-1,2,-5,4,3]=>[1,2,5,4,3]=>1100
[-1,2,-5,4,-3]=>[1,2,5,4,3]=>1100
[-1,2,-5,-4,3]=>[1,2,5,4,3]=>1100
[-1,2,-5,-4,-3]=>[1,2,5,4,3]=>1100
[-1,-2,5,4,3]=>[1,2,5,4,3]=>1100
[-1,-2,5,4,-3]=>[1,2,5,4,3]=>1100
[-1,-2,5,-4,3]=>[1,2,5,4,3]=>1100
[-1,-2,5,-4,-3]=>[1,2,5,4,3]=>1100
[-1,-2,-5,4,3]=>[1,2,5,4,3]=>1100
[-1,-2,-5,4,-3]=>[1,2,5,4,3]=>1100
[-1,-2,-5,-4,3]=>[1,2,5,4,3]=>1100
[-1,-2,-5,-4,-3]=>[1,2,5,4,3]=>1100
[1,3,2,4,5]=>[1,3,2,4,5]=>1011
[1,3,2,4,-5]=>[1,3,2,4,5]=>1011
[1,3,2,-4,5]=>[1,3,2,4,5]=>1011
[1,3,2,-4,-5]=>[1,3,2,4,5]=>1011
[1,3,-2,4,5]=>[1,3,2,4,5]=>1011
[1,3,-2,4,-5]=>[1,3,2,4,5]=>1011
[1,3,-2,-4,5]=>[1,3,2,4,5]=>1011
[1,3,-2,-4,-5]=>[1,3,2,4,5]=>1011
[1,-3,2,4,5]=>[1,3,2,4,5]=>1011
[1,-3,2,4,-5]=>[1,3,2,4,5]=>1011
[1,-3,2,-4,5]=>[1,3,2,4,5]=>1011
[1,-3,2,-4,-5]=>[1,3,2,4,5]=>1011
[1,-3,-2,4,5]=>[1,3,2,4,5]=>1011
[1,-3,-2,4,-5]=>[1,3,2,4,5]=>1011
[1,-3,-2,-4,5]=>[1,3,2,4,5]=>1011
[1,-3,-2,-4,-5]=>[1,3,2,4,5]=>1011
[-1,3,2,4,5]=>[1,3,2,4,5]=>1011
[-1,3,2,4,-5]=>[1,3,2,4,5]=>1011
[-1,3,2,-4,5]=>[1,3,2,4,5]=>1011
[-1,3,2,-4,-5]=>[1,3,2,4,5]=>1011
[-1,3,-2,4,5]=>[1,3,2,4,5]=>1011
[-1,3,-2,4,-5]=>[1,3,2,4,5]=>1011
[-1,3,-2,-4,5]=>[1,3,2,4,5]=>1011
[-1,3,-2,-4,-5]=>[1,3,2,4,5]=>1011
[-1,-3,2,4,5]=>[1,3,2,4,5]=>1011
[-1,-3,2,4,-5]=>[1,3,2,4,5]=>1011
[-1,-3,2,-4,5]=>[1,3,2,4,5]=>1011
[-1,-3,2,-4,-5]=>[1,3,2,4,5]=>1011
[-1,-3,-2,4,5]=>[1,3,2,4,5]=>1011
[-1,-3,-2,4,-5]=>[1,3,2,4,5]=>1011
[-1,-3,-2,-4,5]=>[1,3,2,4,5]=>1011
[-1,-3,-2,-4,-5]=>[1,3,2,4,5]=>1011
[1,3,2,5,4]=>[1,3,2,5,4]=>1010
[1,3,2,5,-4]=>[1,3,2,5,4]=>1010
[1,3,2,-5,4]=>[1,3,2,5,4]=>1010
[1,3,2,-5,-4]=>[1,3,2,5,4]=>1010
[1,3,-2,5,4]=>[1,3,2,5,4]=>1010
[1,3,-2,5,-4]=>[1,3,2,5,4]=>1010
[1,3,-2,-5,4]=>[1,3,2,5,4]=>1010
[1,3,-2,-5,-4]=>[1,3,2,5,4]=>1010
[1,-3,2,5,4]=>[1,3,2,5,4]=>1010
[1,-3,2,5,-4]=>[1,3,2,5,4]=>1010
[1,-3,2,-5,4]=>[1,3,2,5,4]=>1010
[1,-3,2,-5,-4]=>[1,3,2,5,4]=>1010
[1,-3,-2,5,4]=>[1,3,2,5,4]=>1010
[1,-3,-2,5,-4]=>[1,3,2,5,4]=>1010
[1,-3,-2,-5,4]=>[1,3,2,5,4]=>1010
[1,-3,-2,-5,-4]=>[1,3,2,5,4]=>1010
[-1,3,2,5,4]=>[1,3,2,5,4]=>1010
[-1,3,2,5,-4]=>[1,3,2,5,4]=>1010
[-1,3,2,-5,4]=>[1,3,2,5,4]=>1010
[-1,3,2,-5,-4]=>[1,3,2,5,4]=>1010
[-1,3,-2,5,4]=>[1,3,2,5,4]=>1010
[-1,3,-2,5,-4]=>[1,3,2,5,4]=>1010
[-1,3,-2,-5,4]=>[1,3,2,5,4]=>1010
[-1,3,-2,-5,-4]=>[1,3,2,5,4]=>1010
[-1,-3,2,5,4]=>[1,3,2,5,4]=>1010
[-1,-3,2,5,-4]=>[1,3,2,5,4]=>1010
[-1,-3,2,-5,4]=>[1,3,2,5,4]=>1010
[-1,-3,2,-5,-4]=>[1,3,2,5,4]=>1010
[-1,-3,-2,5,4]=>[1,3,2,5,4]=>1010
[-1,-3,-2,5,-4]=>[1,3,2,5,4]=>1010
[-1,-3,-2,-5,4]=>[1,3,2,5,4]=>1010
[-1,-3,-2,-5,-4]=>[1,3,2,5,4]=>1010
[1,3,4,2,5]=>[1,3,4,2,5]=>1001
[1,3,4,2,-5]=>[1,3,4,2,5]=>1001
[1,3,4,-2,5]=>[1,3,4,2,5]=>1001
[1,3,4,-2,-5]=>[1,3,4,2,5]=>1001
[1,3,-4,2,5]=>[1,3,4,2,5]=>1001
[1,3,-4,2,-5]=>[1,3,4,2,5]=>1001
[1,3,-4,-2,5]=>[1,3,4,2,5]=>1001
[1,3,-4,-2,-5]=>[1,3,4,2,5]=>1001
[1,-3,4,2,5]=>[1,3,4,2,5]=>1001
[1,-3,4,2,-5]=>[1,3,4,2,5]=>1001
[1,-3,4,-2,5]=>[1,3,4,2,5]=>1001
[1,-3,4,-2,-5]=>[1,3,4,2,5]=>1001
[1,-3,-4,2,5]=>[1,3,4,2,5]=>1001
[1,-3,-4,2,-5]=>[1,3,4,2,5]=>1001
[1,-3,-4,-2,5]=>[1,3,4,2,5]=>1001
[1,-3,-4,-2,-5]=>[1,3,4,2,5]=>1001
[-1,3,4,2,5]=>[1,3,4,2,5]=>1001
[-1,3,4,2,-5]=>[1,3,4,2,5]=>1001
[-1,3,4,-2,5]=>[1,3,4,2,5]=>1001
[-1,3,4,-2,-5]=>[1,3,4,2,5]=>1001
[-1,3,-4,2,5]=>[1,3,4,2,5]=>1001
[-1,3,-4,2,-5]=>[1,3,4,2,5]=>1001
[-1,3,-4,-2,5]=>[1,3,4,2,5]=>1001
[-1,3,-4,-2,-5]=>[1,3,4,2,5]=>1001
[-1,-3,4,2,5]=>[1,3,4,2,5]=>1001
[-1,-3,4,2,-5]=>[1,3,4,2,5]=>1001
[-1,-3,4,-2,5]=>[1,3,4,2,5]=>1001
[-1,-3,4,-2,-5]=>[1,3,4,2,5]=>1001
[-1,-3,-4,2,5]=>[1,3,4,2,5]=>1001
[-1,-3,-4,2,-5]=>[1,3,4,2,5]=>1001
[-1,-3,-4,-2,5]=>[1,3,4,2,5]=>1001
[-1,-3,-4,-2,-5]=>[1,3,4,2,5]=>1001
[1,3,4,5,2]=>[1,3,4,5,2]=>1000
[1,3,4,5,-2]=>[1,3,4,5,2]=>1000
[1,3,4,-5,2]=>[1,3,4,5,2]=>1000
[1,3,4,-5,-2]=>[1,3,4,5,2]=>1000
[1,3,-4,5,2]=>[1,3,4,5,2]=>1000
[1,3,-4,5,-2]=>[1,3,4,5,2]=>1000
[1,3,-4,-5,2]=>[1,3,4,5,2]=>1000
[1,3,-4,-5,-2]=>[1,3,4,5,2]=>1000
[1,-3,4,5,2]=>[1,3,4,5,2]=>1000
[1,-3,4,5,-2]=>[1,3,4,5,2]=>1000
[1,-3,4,-5,2]=>[1,3,4,5,2]=>1000
[1,-3,4,-5,-2]=>[1,3,4,5,2]=>1000
[1,-3,-4,5,2]=>[1,3,4,5,2]=>1000
[1,-3,-4,5,-2]=>[1,3,4,5,2]=>1000
[1,-3,-4,-5,2]=>[1,3,4,5,2]=>1000
[1,-3,-4,-5,-2]=>[1,3,4,5,2]=>1000
[-1,3,4,5,2]=>[1,3,4,5,2]=>1000
[-1,3,4,5,-2]=>[1,3,4,5,2]=>1000
[-1,3,4,-5,2]=>[1,3,4,5,2]=>1000
[-1,3,4,-5,-2]=>[1,3,4,5,2]=>1000
[-1,3,-4,5,2]=>[1,3,4,5,2]=>1000
[-1,3,-4,5,-2]=>[1,3,4,5,2]=>1000
[-1,3,-4,-5,2]=>[1,3,4,5,2]=>1000
[-1,3,-4,-5,-2]=>[1,3,4,5,2]=>1000
[-1,-3,4,5,2]=>[1,3,4,5,2]=>1000
[-1,-3,4,5,-2]=>[1,3,4,5,2]=>1000
[-1,-3,4,-5,2]=>[1,3,4,5,2]=>1000
[-1,-3,4,-5,-2]=>[1,3,4,5,2]=>1000
[-1,-3,-4,5,2]=>[1,3,4,5,2]=>1000
[-1,-3,-4,5,-2]=>[1,3,4,5,2]=>1000
[-1,-3,-4,-5,2]=>[1,3,4,5,2]=>1000
[-1,-3,-4,-5,-2]=>[1,3,4,5,2]=>1000
[1,3,5,2,4]=>[1,3,5,2,4]=>1000
[1,3,5,2,-4]=>[1,3,5,2,4]=>1000
[1,3,5,-2,4]=>[1,3,5,2,4]=>1000
[1,3,5,-2,-4]=>[1,3,5,2,4]=>1000
[1,3,-5,2,4]=>[1,3,5,2,4]=>1000
[1,3,-5,2,-4]=>[1,3,5,2,4]=>1000
[1,3,-5,-2,4]=>[1,3,5,2,4]=>1000
[1,3,-5,-2,-4]=>[1,3,5,2,4]=>1000
[1,-3,5,2,4]=>[1,3,5,2,4]=>1000
[1,-3,5,2,-4]=>[1,3,5,2,4]=>1000
[1,-3,5,-2,4]=>[1,3,5,2,4]=>1000
[1,-3,5,-2,-4]=>[1,3,5,2,4]=>1000
[1,-3,-5,2,4]=>[1,3,5,2,4]=>1000
[1,-3,-5,2,-4]=>[1,3,5,2,4]=>1000
[1,-3,-5,-2,4]=>[1,3,5,2,4]=>1000
[1,-3,-5,-2,-4]=>[1,3,5,2,4]=>1000
[-1,3,5,2,4]=>[1,3,5,2,4]=>1000
[-1,3,5,2,-4]=>[1,3,5,2,4]=>1000
[-1,3,5,-2,4]=>[1,3,5,2,4]=>1000
[-1,3,5,-2,-4]=>[1,3,5,2,4]=>1000
[-1,3,-5,2,4]=>[1,3,5,2,4]=>1000
[-1,3,-5,2,-4]=>[1,3,5,2,4]=>1000
[-1,3,-5,-2,4]=>[1,3,5,2,4]=>1000
[-1,3,-5,-2,-4]=>[1,3,5,2,4]=>1000
[-1,-3,5,2,4]=>[1,3,5,2,4]=>1000
[-1,-3,5,2,-4]=>[1,3,5,2,4]=>1000
[-1,-3,5,-2,4]=>[1,3,5,2,4]=>1000
[-1,-3,5,-2,-4]=>[1,3,5,2,4]=>1000
[-1,-3,-5,2,4]=>[1,3,5,2,4]=>1000
[-1,-3,-5,2,-4]=>[1,3,5,2,4]=>1000
[-1,-3,-5,-2,4]=>[1,3,5,2,4]=>1000
[-1,-3,-5,-2,-4]=>[1,3,5,2,4]=>1000
[1,3,5,4,2]=>[1,3,5,4,2]=>1000
[1,3,5,4,-2]=>[1,3,5,4,2]=>1000
[1,3,5,-4,2]=>[1,3,5,4,2]=>1000
[1,3,5,-4,-2]=>[1,3,5,4,2]=>1000
[1,3,-5,4,2]=>[1,3,5,4,2]=>1000
[1,3,-5,4,-2]=>[1,3,5,4,2]=>1000
[1,3,-5,-4,2]=>[1,3,5,4,2]=>1000
[1,3,-5,-4,-2]=>[1,3,5,4,2]=>1000
[1,-3,5,4,2]=>[1,3,5,4,2]=>1000
[1,-3,5,4,-2]=>[1,3,5,4,2]=>1000
[1,-3,5,-4,2]=>[1,3,5,4,2]=>1000
[1,-3,5,-4,-2]=>[1,3,5,4,2]=>1000
[1,-3,-5,4,2]=>[1,3,5,4,2]=>1000
[1,-3,-5,4,-2]=>[1,3,5,4,2]=>1000
[1,-3,-5,-4,2]=>[1,3,5,4,2]=>1000
[1,-3,-5,-4,-2]=>[1,3,5,4,2]=>1000
[-1,3,5,4,2]=>[1,3,5,4,2]=>1000
[-1,3,5,4,-2]=>[1,3,5,4,2]=>1000
[-1,3,5,-4,2]=>[1,3,5,4,2]=>1000
[-1,3,5,-4,-2]=>[1,3,5,4,2]=>1000
[-1,3,-5,4,2]=>[1,3,5,4,2]=>1000
[-1,3,-5,4,-2]=>[1,3,5,4,2]=>1000
[-1,3,-5,-4,2]=>[1,3,5,4,2]=>1000
[-1,3,-5,-4,-2]=>[1,3,5,4,2]=>1000
[-1,-3,5,4,2]=>[1,3,5,4,2]=>1000
[-1,-3,5,4,-2]=>[1,3,5,4,2]=>1000
[-1,-3,5,-4,2]=>[1,3,5,4,2]=>1000
[-1,-3,5,-4,-2]=>[1,3,5,4,2]=>1000
[-1,-3,-5,4,2]=>[1,3,5,4,2]=>1000
[-1,-3,-5,4,-2]=>[1,3,5,4,2]=>1000
[-1,-3,-5,-4,2]=>[1,3,5,4,2]=>1000
[-1,-3,-5,-4,-2]=>[1,3,5,4,2]=>1000
[1,4,2,3,5]=>[1,4,2,3,5]=>1001
[1,4,2,3,-5]=>[1,4,2,3,5]=>1001
[1,4,2,-3,5]=>[1,4,2,3,5]=>1001
[1,4,2,-3,-5]=>[1,4,2,3,5]=>1001
[1,4,-2,3,5]=>[1,4,2,3,5]=>1001
[1,4,-2,3,-5]=>[1,4,2,3,5]=>1001
[1,4,-2,-3,5]=>[1,4,2,3,5]=>1001
[1,4,-2,-3,-5]=>[1,4,2,3,5]=>1001
[1,-4,2,3,5]=>[1,4,2,3,5]=>1001
[1,-4,2,3,-5]=>[1,4,2,3,5]=>1001
[1,-4,2,-3,5]=>[1,4,2,3,5]=>1001
[1,-4,2,-3,-5]=>[1,4,2,3,5]=>1001
[1,-4,-2,3,5]=>[1,4,2,3,5]=>1001
[1,-4,-2,3,-5]=>[1,4,2,3,5]=>1001
[1,-4,-2,-3,5]=>[1,4,2,3,5]=>1001
[1,-4,-2,-3,-5]=>[1,4,2,3,5]=>1001
[-1,4,2,3,5]=>[1,4,2,3,5]=>1001
[-1,4,2,3,-5]=>[1,4,2,3,5]=>1001
[-1,4,2,-3,5]=>[1,4,2,3,5]=>1001
[-1,4,2,-3,-5]=>[1,4,2,3,5]=>1001
[-1,4,-2,3,5]=>[1,4,2,3,5]=>1001
[-1,4,-2,3,-5]=>[1,4,2,3,5]=>1001
[-1,4,-2,-3,5]=>[1,4,2,3,5]=>1001
[-1,4,-2,-3,-5]=>[1,4,2,3,5]=>1001
[-1,-4,2,3,5]=>[1,4,2,3,5]=>1001
[-1,-4,2,3,-5]=>[1,4,2,3,5]=>1001
[-1,-4,2,-3,5]=>[1,4,2,3,5]=>1001
[-1,-4,2,-3,-5]=>[1,4,2,3,5]=>1001
[-1,-4,-2,3,5]=>[1,4,2,3,5]=>1001
[-1,-4,-2,3,-5]=>[1,4,2,3,5]=>1001
[-1,-4,-2,-3,5]=>[1,4,2,3,5]=>1001
[-1,-4,-2,-3,-5]=>[1,4,2,3,5]=>1001
[1,4,2,5,3]=>[1,4,2,5,3]=>1000
[1,4,2,5,-3]=>[1,4,2,5,3]=>1000
[1,4,2,-5,3]=>[1,4,2,5,3]=>1000
[1,4,2,-5,-3]=>[1,4,2,5,3]=>1000
[1,4,-2,5,3]=>[1,4,2,5,3]=>1000
[1,4,-2,5,-3]=>[1,4,2,5,3]=>1000
[1,4,-2,-5,3]=>[1,4,2,5,3]=>1000
[1,4,-2,-5,-3]=>[1,4,2,5,3]=>1000
[1,-4,2,5,3]=>[1,4,2,5,3]=>1000
[1,-4,2,5,-3]=>[1,4,2,5,3]=>1000
[1,-4,2,-5,3]=>[1,4,2,5,3]=>1000
[1,-4,2,-5,-3]=>[1,4,2,5,3]=>1000
[1,-4,-2,5,3]=>[1,4,2,5,3]=>1000
[1,-4,-2,5,-3]=>[1,4,2,5,3]=>1000
[1,-4,-2,-5,3]=>[1,4,2,5,3]=>1000
[1,-4,-2,-5,-3]=>[1,4,2,5,3]=>1000
[-1,4,2,5,3]=>[1,4,2,5,3]=>1000
[-1,4,2,5,-3]=>[1,4,2,5,3]=>1000
[-1,4,2,-5,3]=>[1,4,2,5,3]=>1000
[-1,4,2,-5,-3]=>[1,4,2,5,3]=>1000
[-1,4,-2,5,3]=>[1,4,2,5,3]=>1000
[-1,4,-2,5,-3]=>[1,4,2,5,3]=>1000
[-1,4,-2,-5,3]=>[1,4,2,5,3]=>1000
[-1,4,-2,-5,-3]=>[1,4,2,5,3]=>1000
[-1,-4,2,5,3]=>[1,4,2,5,3]=>1000
[-1,-4,2,5,-3]=>[1,4,2,5,3]=>1000
[-1,-4,2,-5,3]=>[1,4,2,5,3]=>1000
[-1,-4,2,-5,-3]=>[1,4,2,5,3]=>1000
[-1,-4,-2,5,3]=>[1,4,2,5,3]=>1000
[-1,-4,-2,5,-3]=>[1,4,2,5,3]=>1000
[-1,-4,-2,-5,3]=>[1,4,2,5,3]=>1000
[-1,-4,-2,-5,-3]=>[1,4,2,5,3]=>1000
[1,4,3,2,5]=>[1,4,3,2,5]=>1001
[1,4,3,2,-5]=>[1,4,3,2,5]=>1001
[1,4,3,-2,5]=>[1,4,3,2,5]=>1001
[1,4,3,-2,-5]=>[1,4,3,2,5]=>1001
[1,4,-3,2,5]=>[1,4,3,2,5]=>1001
[1,4,-3,2,-5]=>[1,4,3,2,5]=>1001
[1,4,-3,-2,5]=>[1,4,3,2,5]=>1001
[1,4,-3,-2,-5]=>[1,4,3,2,5]=>1001
[1,-4,3,2,5]=>[1,4,3,2,5]=>1001
[1,-4,3,2,-5]=>[1,4,3,2,5]=>1001
[1,-4,3,-2,5]=>[1,4,3,2,5]=>1001
[1,-4,3,-2,-5]=>[1,4,3,2,5]=>1001
[1,-4,-3,2,5]=>[1,4,3,2,5]=>1001
[1,-4,-3,2,-5]=>[1,4,3,2,5]=>1001
[1,-4,-3,-2,5]=>[1,4,3,2,5]=>1001
[1,-4,-3,-2,-5]=>[1,4,3,2,5]=>1001
[-1,4,3,2,5]=>[1,4,3,2,5]=>1001
[-1,4,3,2,-5]=>[1,4,3,2,5]=>1001
[-1,4,3,-2,5]=>[1,4,3,2,5]=>1001
[-1,4,3,-2,-5]=>[1,4,3,2,5]=>1001
[-1,4,-3,2,5]=>[1,4,3,2,5]=>1001
[-1,4,-3,2,-5]=>[1,4,3,2,5]=>1001
[-1,4,-3,-2,5]=>[1,4,3,2,5]=>1001
[-1,4,-3,-2,-5]=>[1,4,3,2,5]=>1001
[-1,-4,3,2,5]=>[1,4,3,2,5]=>1001
[-1,-4,3,2,-5]=>[1,4,3,2,5]=>1001
[-1,-4,3,-2,5]=>[1,4,3,2,5]=>1001
[-1,-4,3,-2,-5]=>[1,4,3,2,5]=>1001
[-1,-4,-3,2,5]=>[1,4,3,2,5]=>1001
[-1,-4,-3,2,-5]=>[1,4,3,2,5]=>1001
[-1,-4,-3,-2,5]=>[1,4,3,2,5]=>1001
[-1,-4,-3,-2,-5]=>[1,4,3,2,5]=>1001
[1,4,3,5,2]=>[1,4,3,5,2]=>1000
[1,4,3,5,-2]=>[1,4,3,5,2]=>1000
[1,4,3,-5,2]=>[1,4,3,5,2]=>1000
[1,4,3,-5,-2]=>[1,4,3,5,2]=>1000
[1,4,-3,5,2]=>[1,4,3,5,2]=>1000
[1,4,-3,5,-2]=>[1,4,3,5,2]=>1000
[1,4,-3,-5,2]=>[1,4,3,5,2]=>1000
[1,4,-3,-5,-2]=>[1,4,3,5,2]=>1000
[1,-4,3,5,2]=>[1,4,3,5,2]=>1000
[1,-4,3,5,-2]=>[1,4,3,5,2]=>1000
[1,-4,3,-5,2]=>[1,4,3,5,2]=>1000
[1,-4,3,-5,-2]=>[1,4,3,5,2]=>1000
[1,-4,-3,5,2]=>[1,4,3,5,2]=>1000
[1,-4,-3,5,-2]=>[1,4,3,5,2]=>1000
[1,-4,-3,-5,2]=>[1,4,3,5,2]=>1000
[1,-4,-3,-5,-2]=>[1,4,3,5,2]=>1000
[-1,4,3,5,2]=>[1,4,3,5,2]=>1000
[-1,4,3,5,-2]=>[1,4,3,5,2]=>1000
[-1,4,3,-5,2]=>[1,4,3,5,2]=>1000
[-1,4,3,-5,-2]=>[1,4,3,5,2]=>1000
[-1,4,-3,5,2]=>[1,4,3,5,2]=>1000
[-1,4,-3,5,-2]=>[1,4,3,5,2]=>1000
[-1,4,-3,-5,2]=>[1,4,3,5,2]=>1000
[-1,4,-3,-5,-2]=>[1,4,3,5,2]=>1000
[-1,-4,3,5,2]=>[1,4,3,5,2]=>1000
[-1,-4,3,5,-2]=>[1,4,3,5,2]=>1000
[-1,-4,3,-5,2]=>[1,4,3,5,2]=>1000
[-1,-4,3,-5,-2]=>[1,4,3,5,2]=>1000
[-1,-4,-3,5,2]=>[1,4,3,5,2]=>1000
[-1,-4,-3,5,-2]=>[1,4,3,5,2]=>1000
[-1,-4,-3,-5,2]=>[1,4,3,5,2]=>1000
[-1,-4,-3,-5,-2]=>[1,4,3,5,2]=>1000
[1,4,5,2,3]=>[1,4,5,2,3]=>1000
[1,4,5,2,-3]=>[1,4,5,2,3]=>1000
[1,4,5,-2,3]=>[1,4,5,2,3]=>1000
[1,4,5,-2,-3]=>[1,4,5,2,3]=>1000
[1,4,-5,2,3]=>[1,4,5,2,3]=>1000
[1,4,-5,2,-3]=>[1,4,5,2,3]=>1000
[1,4,-5,-2,3]=>[1,4,5,2,3]=>1000
[1,4,-5,-2,-3]=>[1,4,5,2,3]=>1000
[1,-4,5,2,3]=>[1,4,5,2,3]=>1000
[1,-4,5,2,-3]=>[1,4,5,2,3]=>1000
[1,-4,5,-2,3]=>[1,4,5,2,3]=>1000
[1,-4,5,-2,-3]=>[1,4,5,2,3]=>1000
[1,-4,-5,2,3]=>[1,4,5,2,3]=>1000
[1,-4,-5,2,-3]=>[1,4,5,2,3]=>1000
[1,-4,-5,-2,3]=>[1,4,5,2,3]=>1000
[1,-4,-5,-2,-3]=>[1,4,5,2,3]=>1000
[-1,4,5,2,3]=>[1,4,5,2,3]=>1000
[-1,4,5,2,-3]=>[1,4,5,2,3]=>1000
[-1,4,5,-2,3]=>[1,4,5,2,3]=>1000
[-1,4,5,-2,-3]=>[1,4,5,2,3]=>1000
[-1,4,-5,2,3]=>[1,4,5,2,3]=>1000
[-1,4,-5,2,-3]=>[1,4,5,2,3]=>1000
[-1,4,-5,-2,3]=>[1,4,5,2,3]=>1000
[-1,4,-5,-2,-3]=>[1,4,5,2,3]=>1000
[-1,-4,5,2,3]=>[1,4,5,2,3]=>1000
[-1,-4,5,2,-3]=>[1,4,5,2,3]=>1000
[-1,-4,5,-2,3]=>[1,4,5,2,3]=>1000
[-1,-4,5,-2,-3]=>[1,4,5,2,3]=>1000
[-1,-4,-5,2,3]=>[1,4,5,2,3]=>1000
[-1,-4,-5,2,-3]=>[1,4,5,2,3]=>1000
[-1,-4,-5,-2,3]=>[1,4,5,2,3]=>1000
[-1,-4,-5,-2,-3]=>[1,4,5,2,3]=>1000
[1,4,5,3,2]=>[1,4,5,3,2]=>1000
[1,4,5,3,-2]=>[1,4,5,3,2]=>1000
[1,4,5,-3,2]=>[1,4,5,3,2]=>1000
[1,4,5,-3,-2]=>[1,4,5,3,2]=>1000
[1,4,-5,3,2]=>[1,4,5,3,2]=>1000
[1,4,-5,3,-2]=>[1,4,5,3,2]=>1000
[1,4,-5,-3,2]=>[1,4,5,3,2]=>1000
[1,4,-5,-3,-2]=>[1,4,5,3,2]=>1000
[1,-4,5,3,2]=>[1,4,5,3,2]=>1000
[1,-4,5,3,-2]=>[1,4,5,3,2]=>1000
[1,-4,5,-3,2]=>[1,4,5,3,2]=>1000
[1,-4,5,-3,-2]=>[1,4,5,3,2]=>1000
[1,-4,-5,3,2]=>[1,4,5,3,2]=>1000
[1,-4,-5,3,-2]=>[1,4,5,3,2]=>1000
[1,-4,-5,-3,2]=>[1,4,5,3,2]=>1000
[1,-4,-5,-3,-2]=>[1,4,5,3,2]=>1000
[-1,4,5,3,2]=>[1,4,5,3,2]=>1000
[-1,4,5,3,-2]=>[1,4,5,3,2]=>1000
[-1,4,5,-3,2]=>[1,4,5,3,2]=>1000
[-1,4,5,-3,-2]=>[1,4,5,3,2]=>1000
[-1,4,-5,3,2]=>[1,4,5,3,2]=>1000
[-1,4,-5,3,-2]=>[1,4,5,3,2]=>1000
[-1,4,-5,-3,2]=>[1,4,5,3,2]=>1000
[-1,4,-5,-3,-2]=>[1,4,5,3,2]=>1000
[-1,-4,5,3,2]=>[1,4,5,3,2]=>1000
[-1,-4,5,3,-2]=>[1,4,5,3,2]=>1000
[-1,-4,5,-3,2]=>[1,4,5,3,2]=>1000
[-1,-4,5,-3,-2]=>[1,4,5,3,2]=>1000
[-1,-4,-5,3,2]=>[1,4,5,3,2]=>1000
[-1,-4,-5,3,-2]=>[1,4,5,3,2]=>1000
[-1,-4,-5,-3,2]=>[1,4,5,3,2]=>1000
[-1,-4,-5,-3,-2]=>[1,4,5,3,2]=>1000
[1,5,2,3,4]=>[1,5,2,3,4]=>1000
[1,5,2,3,-4]=>[1,5,2,3,4]=>1000
[1,5,2,-3,4]=>[1,5,2,3,4]=>1000
[1,5,2,-3,-4]=>[1,5,2,3,4]=>1000
[1,5,-2,3,4]=>[1,5,2,3,4]=>1000
[1,5,-2,3,-4]=>[1,5,2,3,4]=>1000
[1,5,-2,-3,4]=>[1,5,2,3,4]=>1000
[1,5,-2,-3,-4]=>[1,5,2,3,4]=>1000
[1,-5,2,3,4]=>[1,5,2,3,4]=>1000
[1,-5,2,3,-4]=>[1,5,2,3,4]=>1000
[1,-5,2,-3,4]=>[1,5,2,3,4]=>1000
[1,-5,2,-3,-4]=>[1,5,2,3,4]=>1000
[1,-5,-2,3,4]=>[1,5,2,3,4]=>1000
[1,-5,-2,3,-4]=>[1,5,2,3,4]=>1000
[1,-5,-2,-3,4]=>[1,5,2,3,4]=>1000
[1,-5,-2,-3,-4]=>[1,5,2,3,4]=>1000
[-1,5,2,3,4]=>[1,5,2,3,4]=>1000
[-1,5,2,3,-4]=>[1,5,2,3,4]=>1000
[-1,5,2,-3,4]=>[1,5,2,3,4]=>1000
[-1,5,2,-3,-4]=>[1,5,2,3,4]=>1000
[-1,5,-2,3,4]=>[1,5,2,3,4]=>1000
[-1,5,-2,3,-4]=>[1,5,2,3,4]=>1000
[-1,5,-2,-3,4]=>[1,5,2,3,4]=>1000
[-1,5,-2,-3,-4]=>[1,5,2,3,4]=>1000
[-1,-5,2,3,4]=>[1,5,2,3,4]=>1000
[-1,-5,2,3,-4]=>[1,5,2,3,4]=>1000
[-1,-5,2,-3,4]=>[1,5,2,3,4]=>1000
[-1,-5,2,-3,-4]=>[1,5,2,3,4]=>1000
[-1,-5,-2,3,4]=>[1,5,2,3,4]=>1000
[-1,-5,-2,3,-4]=>[1,5,2,3,4]=>1000
[-1,-5,-2,-3,4]=>[1,5,2,3,4]=>1000
[-1,-5,-2,-3,-4]=>[1,5,2,3,4]=>1000
[1,5,2,4,3]=>[1,5,2,4,3]=>1000
[1,5,2,4,-3]=>[1,5,2,4,3]=>1000
[1,5,2,-4,3]=>[1,5,2,4,3]=>1000
[1,5,2,-4,-3]=>[1,5,2,4,3]=>1000
[1,5,-2,4,3]=>[1,5,2,4,3]=>1000
[1,5,-2,4,-3]=>[1,5,2,4,3]=>1000
[1,5,-2,-4,3]=>[1,5,2,4,3]=>1000
[1,5,-2,-4,-3]=>[1,5,2,4,3]=>1000
[1,-5,2,4,3]=>[1,5,2,4,3]=>1000
[1,-5,2,4,-3]=>[1,5,2,4,3]=>1000
[1,-5,2,-4,3]=>[1,5,2,4,3]=>1000
[1,-5,2,-4,-3]=>[1,5,2,4,3]=>1000
[1,-5,-2,4,3]=>[1,5,2,4,3]=>1000
[1,-5,-2,4,-3]=>[1,5,2,4,3]=>1000
[1,-5,-2,-4,3]=>[1,5,2,4,3]=>1000
[1,-5,-2,-4,-3]=>[1,5,2,4,3]=>1000
[-1,5,2,4,3]=>[1,5,2,4,3]=>1000
[-1,5,2,4,-3]=>[1,5,2,4,3]=>1000
[-1,5,2,-4,3]=>[1,5,2,4,3]=>1000
[-1,5,2,-4,-3]=>[1,5,2,4,3]=>1000
[-1,5,-2,4,3]=>[1,5,2,4,3]=>1000
[-1,5,-2,4,-3]=>[1,5,2,4,3]=>1000
[-1,5,-2,-4,3]=>[1,5,2,4,3]=>1000
[-1,5,-2,-4,-3]=>[1,5,2,4,3]=>1000
[-1,-5,2,4,3]=>[1,5,2,4,3]=>1000
[-1,-5,2,4,-3]=>[1,5,2,4,3]=>1000
[-1,-5,2,-4,3]=>[1,5,2,4,3]=>1000
[-1,-5,2,-4,-3]=>[1,5,2,4,3]=>1000
[-1,-5,-2,4,3]=>[1,5,2,4,3]=>1000
[-1,-5,-2,4,-3]=>[1,5,2,4,3]=>1000
[-1,-5,-2,-4,3]=>[1,5,2,4,3]=>1000
[-1,-5,-2,-4,-3]=>[1,5,2,4,3]=>1000
[1,5,3,2,4]=>[1,5,3,2,4]=>1000
[1,5,3,2,-4]=>[1,5,3,2,4]=>1000
[1,5,3,-2,4]=>[1,5,3,2,4]=>1000
[1,5,3,-2,-4]=>[1,5,3,2,4]=>1000
[1,5,-3,2,4]=>[1,5,3,2,4]=>1000
[1,5,-3,2,-4]=>[1,5,3,2,4]=>1000
[1,5,-3,-2,4]=>[1,5,3,2,4]=>1000
[1,5,-3,-2,-4]=>[1,5,3,2,4]=>1000
[1,-5,3,2,4]=>[1,5,3,2,4]=>1000
[1,-5,3,2,-4]=>[1,5,3,2,4]=>1000
[1,-5,3,-2,4]=>[1,5,3,2,4]=>1000
[1,-5,3,-2,-4]=>[1,5,3,2,4]=>1000
[1,-5,-3,2,4]=>[1,5,3,2,4]=>1000
[1,-5,-3,2,-4]=>[1,5,3,2,4]=>1000
[1,-5,-3,-2,4]=>[1,5,3,2,4]=>1000
[1,-5,-3,-2,-4]=>[1,5,3,2,4]=>1000
[-1,5,3,2,4]=>[1,5,3,2,4]=>1000
[-1,5,3,2,-4]=>[1,5,3,2,4]=>1000
[-1,5,3,-2,4]=>[1,5,3,2,4]=>1000
[-1,5,3,-2,-4]=>[1,5,3,2,4]=>1000
[-1,5,-3,2,4]=>[1,5,3,2,4]=>1000
[-1,5,-3,2,-4]=>[1,5,3,2,4]=>1000
[-1,5,-3,-2,4]=>[1,5,3,2,4]=>1000
[-1,5,-3,-2,-4]=>[1,5,3,2,4]=>1000
[-1,-5,3,2,4]=>[1,5,3,2,4]=>1000
[-1,-5,3,2,-4]=>[1,5,3,2,4]=>1000
[-1,-5,3,-2,4]=>[1,5,3,2,4]=>1000
[-1,-5,3,-2,-4]=>[1,5,3,2,4]=>1000
[-1,-5,-3,2,4]=>[1,5,3,2,4]=>1000
[-1,-5,-3,2,-4]=>[1,5,3,2,4]=>1000
[-1,-5,-3,-2,4]=>[1,5,3,2,4]=>1000
[-1,-5,-3,-2,-4]=>[1,5,3,2,4]=>1000
[1,5,3,4,2]=>[1,5,3,4,2]=>1000
[1,5,3,4,-2]=>[1,5,3,4,2]=>1000
[1,5,3,-4,2]=>[1,5,3,4,2]=>1000
[1,5,3,-4,-2]=>[1,5,3,4,2]=>1000
[1,5,-3,4,2]=>[1,5,3,4,2]=>1000
[1,5,-3,4,-2]=>[1,5,3,4,2]=>1000
[1,5,-3,-4,2]=>[1,5,3,4,2]=>1000
[1,5,-3,-4,-2]=>[1,5,3,4,2]=>1000
[1,-5,3,4,2]=>[1,5,3,4,2]=>1000
[1,-5,3,4,-2]=>[1,5,3,4,2]=>1000
[1,-5,3,-4,2]=>[1,5,3,4,2]=>1000
[1,-5,3,-4,-2]=>[1,5,3,4,2]=>1000
[1,-5,-3,4,2]=>[1,5,3,4,2]=>1000
[1,-5,-3,4,-2]=>[1,5,3,4,2]=>1000
[1,-5,-3,-4,2]=>[1,5,3,4,2]=>1000
[1,-5,-3,-4,-2]=>[1,5,3,4,2]=>1000
[-1,5,3,4,2]=>[1,5,3,4,2]=>1000
[-1,5,3,4,-2]=>[1,5,3,4,2]=>1000
[-1,5,3,-4,2]=>[1,5,3,4,2]=>1000
[-1,5,3,-4,-2]=>[1,5,3,4,2]=>1000
[-1,5,-3,4,2]=>[1,5,3,4,2]=>1000
[-1,5,-3,4,-2]=>[1,5,3,4,2]=>1000
[-1,5,-3,-4,2]=>[1,5,3,4,2]=>1000
[-1,5,-3,-4,-2]=>[1,5,3,4,2]=>1000
[-1,-5,3,4,2]=>[1,5,3,4,2]=>1000
[-1,-5,3,4,-2]=>[1,5,3,4,2]=>1000
[-1,-5,3,-4,2]=>[1,5,3,4,2]=>1000
[-1,-5,3,-4,-2]=>[1,5,3,4,2]=>1000
[-1,-5,-3,4,2]=>[1,5,3,4,2]=>1000
[-1,-5,-3,4,-2]=>[1,5,3,4,2]=>1000
[-1,-5,-3,-4,2]=>[1,5,3,4,2]=>1000
[-1,-5,-3,-4,-2]=>[1,5,3,4,2]=>1000
[1,5,4,2,3]=>[1,5,4,2,3]=>1000
[1,5,4,2,-3]=>[1,5,4,2,3]=>1000
[1,5,4,-2,3]=>[1,5,4,2,3]=>1000
[1,5,4,-2,-3]=>[1,5,4,2,3]=>1000
[1,5,-4,2,3]=>[1,5,4,2,3]=>1000
[1,5,-4,2,-3]=>[1,5,4,2,3]=>1000
[1,5,-4,-2,3]=>[1,5,4,2,3]=>1000
[1,5,-4,-2,-3]=>[1,5,4,2,3]=>1000
[1,-5,4,2,3]=>[1,5,4,2,3]=>1000
[1,-5,4,2,-3]=>[1,5,4,2,3]=>1000
[1,-5,4,-2,3]=>[1,5,4,2,3]=>1000
[1,-5,4,-2,-3]=>[1,5,4,2,3]=>1000
[1,-5,-4,2,3]=>[1,5,4,2,3]=>1000
[1,-5,-4,2,-3]=>[1,5,4,2,3]=>1000
[1,-5,-4,-2,3]=>[1,5,4,2,3]=>1000
[1,-5,-4,-2,-3]=>[1,5,4,2,3]=>1000
[-1,5,4,2,3]=>[1,5,4,2,3]=>1000
[-1,5,4,2,-3]=>[1,5,4,2,3]=>1000
[-1,5,4,-2,3]=>[1,5,4,2,3]=>1000
[-1,5,4,-2,-3]=>[1,5,4,2,3]=>1000
[-1,5,-4,2,3]=>[1,5,4,2,3]=>1000
[-1,5,-4,2,-3]=>[1,5,4,2,3]=>1000
[-1,5,-4,-2,3]=>[1,5,4,2,3]=>1000
[-1,5,-4,-2,-3]=>[1,5,4,2,3]=>1000
[-1,-5,4,2,3]=>[1,5,4,2,3]=>1000
[-1,-5,4,2,-3]=>[1,5,4,2,3]=>1000
[-1,-5,4,-2,3]=>[1,5,4,2,3]=>1000
[-1,-5,4,-2,-3]=>[1,5,4,2,3]=>1000
[-1,-5,-4,2,3]=>[1,5,4,2,3]=>1000
[-1,-5,-4,2,-3]=>[1,5,4,2,3]=>1000
[-1,-5,-4,-2,3]=>[1,5,4,2,3]=>1000
[-1,-5,-4,-2,-3]=>[1,5,4,2,3]=>1000
[1,5,4,3,2]=>[1,5,4,3,2]=>1000
[1,5,4,3,-2]=>[1,5,4,3,2]=>1000
[1,5,4,-3,2]=>[1,5,4,3,2]=>1000
[1,5,4,-3,-2]=>[1,5,4,3,2]=>1000
[1,5,-4,3,2]=>[1,5,4,3,2]=>1000
[1,5,-4,3,-2]=>[1,5,4,3,2]=>1000
[1,5,-4,-3,2]=>[1,5,4,3,2]=>1000
[1,5,-4,-3,-2]=>[1,5,4,3,2]=>1000
[1,-5,4,3,2]=>[1,5,4,3,2]=>1000
[1,-5,4,3,-2]=>[1,5,4,3,2]=>1000
[1,-5,4,-3,2]=>[1,5,4,3,2]=>1000
[1,-5,4,-3,-2]=>[1,5,4,3,2]=>1000
[1,-5,-4,3,2]=>[1,5,4,3,2]=>1000
[1,-5,-4,3,-2]=>[1,5,4,3,2]=>1000
[1,-5,-4,-3,2]=>[1,5,4,3,2]=>1000
[1,-5,-4,-3,-2]=>[1,5,4,3,2]=>1000
[-1,5,4,3,2]=>[1,5,4,3,2]=>1000
[-1,5,4,3,-2]=>[1,5,4,3,2]=>1000
[-1,5,4,-3,2]=>[1,5,4,3,2]=>1000
[-1,5,4,-3,-2]=>[1,5,4,3,2]=>1000
[-1,5,-4,3,2]=>[1,5,4,3,2]=>1000
[-1,5,-4,3,-2]=>[1,5,4,3,2]=>1000
[-1,5,-4,-3,2]=>[1,5,4,3,2]=>1000
[-1,5,-4,-3,-2]=>[1,5,4,3,2]=>1000
[-1,-5,4,3,2]=>[1,5,4,3,2]=>1000
[-1,-5,4,3,-2]=>[1,5,4,3,2]=>1000
[-1,-5,4,-3,2]=>[1,5,4,3,2]=>1000
[-1,-5,4,-3,-2]=>[1,5,4,3,2]=>1000
[-1,-5,-4,3,2]=>[1,5,4,3,2]=>1000
[-1,-5,-4,3,-2]=>[1,5,4,3,2]=>1000
[-1,-5,-4,-3,2]=>[1,5,4,3,2]=>1000
[-1,-5,-4,-3,-2]=>[1,5,4,3,2]=>1000
[2,1,3,4,5]=>[2,1,3,4,5]=>0111
[2,1,3,4,-5]=>[2,1,3,4,5]=>0111
[2,1,3,-4,5]=>[2,1,3,4,5]=>0111
[2,1,3,-4,-5]=>[2,1,3,4,5]=>0111
[2,1,-3,4,5]=>[2,1,3,4,5]=>0111
[2,1,-3,4,-5]=>[2,1,3,4,5]=>0111
[2,1,-3,-4,5]=>[2,1,3,4,5]=>0111
[2,1,-3,-4,-5]=>[2,1,3,4,5]=>0111
[2,-1,3,4,5]=>[2,1,3,4,5]=>0111
[2,-1,3,4,-5]=>[2,1,3,4,5]=>0111
[2,-1,3,-4,5]=>[2,1,3,4,5]=>0111
[2,-1,3,-4,-5]=>[2,1,3,4,5]=>0111
[2,-1,-3,4,5]=>[2,1,3,4,5]=>0111
[2,-1,-3,4,-5]=>[2,1,3,4,5]=>0111
[2,-1,-3,-4,5]=>[2,1,3,4,5]=>0111
[2,-1,-3,-4,-5]=>[2,1,3,4,5]=>0111
[-2,1,3,4,5]=>[2,1,3,4,5]=>0111
[-2,1,3,4,-5]=>[2,1,3,4,5]=>0111
[-2,1,3,-4,5]=>[2,1,3,4,5]=>0111
[-2,1,3,-4,-5]=>[2,1,3,4,5]=>0111
[-2,1,-3,4,5]=>[2,1,3,4,5]=>0111
[-2,1,-3,4,-5]=>[2,1,3,4,5]=>0111
[-2,1,-3,-4,5]=>[2,1,3,4,5]=>0111
[-2,1,-3,-4,-5]=>[2,1,3,4,5]=>0111
[-2,-1,3,4,5]=>[2,1,3,4,5]=>0111
[-2,-1,3,4,-5]=>[2,1,3,4,5]=>0111
[-2,-1,3,-4,5]=>[2,1,3,4,5]=>0111
[-2,-1,3,-4,-5]=>[2,1,3,4,5]=>0111
[-2,-1,-3,4,5]=>[2,1,3,4,5]=>0111
[-2,-1,-3,4,-5]=>[2,1,3,4,5]=>0111
[-2,-1,-3,-4,5]=>[2,1,3,4,5]=>0111
[-2,-1,-3,-4,-5]=>[2,1,3,4,5]=>0111
[2,1,3,5,4]=>[2,1,3,5,4]=>0110
[2,1,3,5,-4]=>[2,1,3,5,4]=>0110
[2,1,3,-5,4]=>[2,1,3,5,4]=>0110
[2,1,3,-5,-4]=>[2,1,3,5,4]=>0110
[2,1,-3,5,4]=>[2,1,3,5,4]=>0110
[2,1,-3,5,-4]=>[2,1,3,5,4]=>0110
[2,1,-3,-5,4]=>[2,1,3,5,4]=>0110
[2,1,-3,-5,-4]=>[2,1,3,5,4]=>0110
[2,-1,3,5,4]=>[2,1,3,5,4]=>0110
[2,-1,3,5,-4]=>[2,1,3,5,4]=>0110
[2,-1,3,-5,4]=>[2,1,3,5,4]=>0110
[2,-1,3,-5,-4]=>[2,1,3,5,4]=>0110
[2,-1,-3,5,4]=>[2,1,3,5,4]=>0110
[2,-1,-3,5,-4]=>[2,1,3,5,4]=>0110
[2,-1,-3,-5,4]=>[2,1,3,5,4]=>0110
[2,-1,-3,-5,-4]=>[2,1,3,5,4]=>0110
[-2,1,3,5,4]=>[2,1,3,5,4]=>0110
[-2,1,3,5,-4]=>[2,1,3,5,4]=>0110
[-2,1,3,-5,4]=>[2,1,3,5,4]=>0110
[-2,1,3,-5,-4]=>[2,1,3,5,4]=>0110
[-2,1,-3,5,4]=>[2,1,3,5,4]=>0110
[-2,1,-3,5,-4]=>[2,1,3,5,4]=>0110
[-2,1,-3,-5,4]=>[2,1,3,5,4]=>0110
[-2,1,-3,-5,-4]=>[2,1,3,5,4]=>0110
[-2,-1,3,5,4]=>[2,1,3,5,4]=>0110
[-2,-1,3,5,-4]=>[2,1,3,5,4]=>0110
[-2,-1,3,-5,4]=>[2,1,3,5,4]=>0110
[-2,-1,3,-5,-4]=>[2,1,3,5,4]=>0110
[-2,-1,-3,5,4]=>[2,1,3,5,4]=>0110
[-2,-1,-3,5,-4]=>[2,1,3,5,4]=>0110
[-2,-1,-3,-5,4]=>[2,1,3,5,4]=>0110
[-2,-1,-3,-5,-4]=>[2,1,3,5,4]=>0110
[2,1,4,3,5]=>[2,1,4,3,5]=>0101
[2,1,4,3,-5]=>[2,1,4,3,5]=>0101
[2,1,4,-3,5]=>[2,1,4,3,5]=>0101
[2,1,4,-3,-5]=>[2,1,4,3,5]=>0101
[2,1,-4,3,5]=>[2,1,4,3,5]=>0101
[2,1,-4,3,-5]=>[2,1,4,3,5]=>0101
[2,1,-4,-3,5]=>[2,1,4,3,5]=>0101
[2,1,-4,-3,-5]=>[2,1,4,3,5]=>0101
[2,-1,4,3,5]=>[2,1,4,3,5]=>0101
[2,-1,4,3,-5]=>[2,1,4,3,5]=>0101
[2,-1,4,-3,5]=>[2,1,4,3,5]=>0101
[2,-1,4,-3,-5]=>[2,1,4,3,5]=>0101
[2,-1,-4,3,5]=>[2,1,4,3,5]=>0101
[2,-1,-4,3,-5]=>[2,1,4,3,5]=>0101
[2,-1,-4,-3,5]=>[2,1,4,3,5]=>0101
[2,-1,-4,-3,-5]=>[2,1,4,3,5]=>0101
[-2,1,4,3,5]=>[2,1,4,3,5]=>0101
[-2,1,4,3,-5]=>[2,1,4,3,5]=>0101
[-2,1,4,-3,5]=>[2,1,4,3,5]=>0101
[-2,1,4,-3,-5]=>[2,1,4,3,5]=>0101
[-2,1,-4,3,5]=>[2,1,4,3,5]=>0101
[-2,1,-4,3,-5]=>[2,1,4,3,5]=>0101
[-2,1,-4,-3,5]=>[2,1,4,3,5]=>0101
[-2,1,-4,-3,-5]=>[2,1,4,3,5]=>0101
[-2,-1,4,3,5]=>[2,1,4,3,5]=>0101
[-2,-1,4,3,-5]=>[2,1,4,3,5]=>0101
[-2,-1,4,-3,5]=>[2,1,4,3,5]=>0101
[-2,-1,4,-3,-5]=>[2,1,4,3,5]=>0101
[-2,-1,-4,3,5]=>[2,1,4,3,5]=>0101
[-2,-1,-4,3,-5]=>[2,1,4,3,5]=>0101
[-2,-1,-4,-3,5]=>[2,1,4,3,5]=>0101
[-2,-1,-4,-3,-5]=>[2,1,4,3,5]=>0101
[2,1,4,5,3]=>[2,1,4,5,3]=>0100
[2,1,4,5,-3]=>[2,1,4,5,3]=>0100
[2,1,4,-5,3]=>[2,1,4,5,3]=>0100
[2,1,4,-5,-3]=>[2,1,4,5,3]=>0100
[2,1,-4,5,3]=>[2,1,4,5,3]=>0100
[2,1,-4,5,-3]=>[2,1,4,5,3]=>0100
[2,1,-4,-5,3]=>[2,1,4,5,3]=>0100
[2,1,-4,-5,-3]=>[2,1,4,5,3]=>0100
[2,-1,4,5,3]=>[2,1,4,5,3]=>0100
[2,-1,4,5,-3]=>[2,1,4,5,3]=>0100
[2,-1,4,-5,3]=>[2,1,4,5,3]=>0100
[2,-1,4,-5,-3]=>[2,1,4,5,3]=>0100
[2,-1,-4,5,3]=>[2,1,4,5,3]=>0100
[2,-1,-4,5,-3]=>[2,1,4,5,3]=>0100
[2,-1,-4,-5,3]=>[2,1,4,5,3]=>0100
[2,-1,-4,-5,-3]=>[2,1,4,5,3]=>0100
[-2,1,4,5,3]=>[2,1,4,5,3]=>0100
[-2,1,4,5,-3]=>[2,1,4,5,3]=>0100
[-2,1,4,-5,3]=>[2,1,4,5,3]=>0100
[-2,1,4,-5,-3]=>[2,1,4,5,3]=>0100
[-2,1,-4,5,3]=>[2,1,4,5,3]=>0100
[-2,1,-4,5,-3]=>[2,1,4,5,3]=>0100
[-2,1,-4,-5,3]=>[2,1,4,5,3]=>0100
[-2,1,-4,-5,-3]=>[2,1,4,5,3]=>0100
[-2,-1,4,5,3]=>[2,1,4,5,3]=>0100
[-2,-1,4,5,-3]=>[2,1,4,5,3]=>0100
[-2,-1,4,-5,3]=>[2,1,4,5,3]=>0100
[-2,-1,4,-5,-3]=>[2,1,4,5,3]=>0100
[-2,-1,-4,5,3]=>[2,1,4,5,3]=>0100
[-2,-1,-4,5,-3]=>[2,1,4,5,3]=>0100
[-2,-1,-4,-5,3]=>[2,1,4,5,3]=>0100
[-2,-1,-4,-5,-3]=>[2,1,4,5,3]=>0100
[2,1,5,3,4]=>[2,1,5,3,4]=>0100
[2,1,5,3,-4]=>[2,1,5,3,4]=>0100
[2,1,5,-3,4]=>[2,1,5,3,4]=>0100
[2,1,5,-3,-4]=>[2,1,5,3,4]=>0100
[2,1,-5,3,4]=>[2,1,5,3,4]=>0100
[2,1,-5,3,-4]=>[2,1,5,3,4]=>0100
[2,1,-5,-3,4]=>[2,1,5,3,4]=>0100
[2,1,-5,-3,-4]=>[2,1,5,3,4]=>0100
[2,-1,5,3,4]=>[2,1,5,3,4]=>0100
[2,-1,5,3,-4]=>[2,1,5,3,4]=>0100
[2,-1,5,-3,4]=>[2,1,5,3,4]=>0100
[2,-1,5,-3,-4]=>[2,1,5,3,4]=>0100
[2,-1,-5,3,4]=>[2,1,5,3,4]=>0100
[2,-1,-5,3,-4]=>[2,1,5,3,4]=>0100
[2,-1,-5,-3,4]=>[2,1,5,3,4]=>0100
[2,-1,-5,-3,-4]=>[2,1,5,3,4]=>0100
[-2,1,5,3,4]=>[2,1,5,3,4]=>0100
[-2,1,5,3,-4]=>[2,1,5,3,4]=>0100
[-2,1,5,-3,4]=>[2,1,5,3,4]=>0100
[-2,1,5,-3,-4]=>[2,1,5,3,4]=>0100
[-2,1,-5,3,4]=>[2,1,5,3,4]=>0100
[-2,1,-5,3,-4]=>[2,1,5,3,4]=>0100
[-2,1,-5,-3,4]=>[2,1,5,3,4]=>0100
[-2,1,-5,-3,-4]=>[2,1,5,3,4]=>0100
[-2,-1,5,3,4]=>[2,1,5,3,4]=>0100
[-2,-1,5,3,-4]=>[2,1,5,3,4]=>0100
[-2,-1,5,-3,4]=>[2,1,5,3,4]=>0100
[-2,-1,5,-3,-4]=>[2,1,5,3,4]=>0100
[-2,-1,-5,3,4]=>[2,1,5,3,4]=>0100
[-2,-1,-5,3,-4]=>[2,1,5,3,4]=>0100
[-2,-1,-5,-3,4]=>[2,1,5,3,4]=>0100
[-2,-1,-5,-3,-4]=>[2,1,5,3,4]=>0100
[2,1,5,4,3]=>[2,1,5,4,3]=>0100
[2,1,5,4,-3]=>[2,1,5,4,3]=>0100
[2,1,5,-4,3]=>[2,1,5,4,3]=>0100
[2,1,5,-4,-3]=>[2,1,5,4,3]=>0100
[2,1,-5,4,3]=>[2,1,5,4,3]=>0100
[2,1,-5,4,-3]=>[2,1,5,4,3]=>0100
[2,1,-5,-4,3]=>[2,1,5,4,3]=>0100
[2,1,-5,-4,-3]=>[2,1,5,4,3]=>0100
[2,-1,5,4,3]=>[2,1,5,4,3]=>0100
[2,-1,5,4,-3]=>[2,1,5,4,3]=>0100
[2,-1,5,-4,3]=>[2,1,5,4,3]=>0100
[2,-1,5,-4,-3]=>[2,1,5,4,3]=>0100
[2,-1,-5,4,3]=>[2,1,5,4,3]=>0100
[2,-1,-5,4,-3]=>[2,1,5,4,3]=>0100
[2,-1,-5,-4,3]=>[2,1,5,4,3]=>0100
[2,-1,-5,-4,-3]=>[2,1,5,4,3]=>0100
[-2,1,5,4,3]=>[2,1,5,4,3]=>0100
[-2,1,5,4,-3]=>[2,1,5,4,3]=>0100
[-2,1,5,-4,3]=>[2,1,5,4,3]=>0100
[-2,1,5,-4,-3]=>[2,1,5,4,3]=>0100
[-2,1,-5,4,3]=>[2,1,5,4,3]=>0100
[-2,1,-5,4,-3]=>[2,1,5,4,3]=>0100
[-2,1,-5,-4,3]=>[2,1,5,4,3]=>0100
[-2,1,-5,-4,-3]=>[2,1,5,4,3]=>0100
[-2,-1,5,4,3]=>[2,1,5,4,3]=>0100
[-2,-1,5,4,-3]=>[2,1,5,4,3]=>0100
[-2,-1,5,-4,3]=>[2,1,5,4,3]=>0100
[-2,-1,5,-4,-3]=>[2,1,5,4,3]=>0100
[-2,-1,-5,4,3]=>[2,1,5,4,3]=>0100
[-2,-1,-5,4,-3]=>[2,1,5,4,3]=>0100
[-2,-1,-5,-4,3]=>[2,1,5,4,3]=>0100
[-2,-1,-5,-4,-3]=>[2,1,5,4,3]=>0100
[2,3,1,4,5]=>[2,3,1,4,5]=>0011
[2,3,1,4,-5]=>[2,3,1,4,5]=>0011
[2,3,1,-4,5]=>[2,3,1,4,5]=>0011
[2,3,1,-4,-5]=>[2,3,1,4,5]=>0011
[2,3,-1,4,5]=>[2,3,1,4,5]=>0011
[2,3,-1,4,-5]=>[2,3,1,4,5]=>0011
[2,3,-1,-4,5]=>[2,3,1,4,5]=>0011
[2,3,-1,-4,-5]=>[2,3,1,4,5]=>0011
[2,-3,1,4,5]=>[2,3,1,4,5]=>0011
[2,-3,1,4,-5]=>[2,3,1,4,5]=>0011
[2,-3,1,-4,5]=>[2,3,1,4,5]=>0011
[2,-3,1,-4,-5]=>[2,3,1,4,5]=>0011
[2,-3,-1,4,5]=>[2,3,1,4,5]=>0011
[2,-3,-1,4,-5]=>[2,3,1,4,5]=>0011
[2,-3,-1,-4,5]=>[2,3,1,4,5]=>0011
[2,-3,-1,-4,-5]=>[2,3,1,4,5]=>0011
[-2,3,1,4,5]=>[2,3,1,4,5]=>0011
[-2,3,1,4,-5]=>[2,3,1,4,5]=>0011
[-2,3,1,-4,5]=>[2,3,1,4,5]=>0011
[-2,3,1,-4,-5]=>[2,3,1,4,5]=>0011
[-2,3,-1,4,5]=>[2,3,1,4,5]=>0011
[-2,3,-1,4,-5]=>[2,3,1,4,5]=>0011
[-2,3,-1,-4,5]=>[2,3,1,4,5]=>0011
[-2,3,-1,-4,-5]=>[2,3,1,4,5]=>0011
[-2,-3,1,4,5]=>[2,3,1,4,5]=>0011
[-2,-3,1,4,-5]=>[2,3,1,4,5]=>0011
[-2,-3,1,-4,5]=>[2,3,1,4,5]=>0011
[-2,-3,1,-4,-5]=>[2,3,1,4,5]=>0011
[-2,-3,-1,4,5]=>[2,3,1,4,5]=>0011
[-2,-3,-1,4,-5]=>[2,3,1,4,5]=>0011
[-2,-3,-1,-4,5]=>[2,3,1,4,5]=>0011
[-2,-3,-1,-4,-5]=>[2,3,1,4,5]=>0011
[2,3,1,5,4]=>[2,3,1,5,4]=>0010
[2,3,1,5,-4]=>[2,3,1,5,4]=>0010
[2,3,1,-5,4]=>[2,3,1,5,4]=>0010
[2,3,1,-5,-4]=>[2,3,1,5,4]=>0010
[2,3,-1,5,4]=>[2,3,1,5,4]=>0010
[2,3,-1,5,-4]=>[2,3,1,5,4]=>0010
[2,3,-1,-5,4]=>[2,3,1,5,4]=>0010
[2,3,-1,-5,-4]=>[2,3,1,5,4]=>0010
[2,-3,1,5,4]=>[2,3,1,5,4]=>0010
[2,-3,1,5,-4]=>[2,3,1,5,4]=>0010
[2,-3,1,-5,4]=>[2,3,1,5,4]=>0010
[2,-3,1,-5,-4]=>[2,3,1,5,4]=>0010
[2,-3,-1,5,4]=>[2,3,1,5,4]=>0010
[2,-3,-1,5,-4]=>[2,3,1,5,4]=>0010
[2,-3,-1,-5,4]=>[2,3,1,5,4]=>0010
[2,-3,-1,-5,-4]=>[2,3,1,5,4]=>0010
[-2,3,1,5,4]=>[2,3,1,5,4]=>0010
[-2,3,1,5,-4]=>[2,3,1,5,4]=>0010
[-2,3,1,-5,4]=>[2,3,1,5,4]=>0010
[-2,3,1,-5,-4]=>[2,3,1,5,4]=>0010
[-2,3,-1,5,4]=>[2,3,1,5,4]=>0010
[-2,3,-1,5,-4]=>[2,3,1,5,4]=>0010
[-2,3,-1,-5,4]=>[2,3,1,5,4]=>0010
[-2,3,-1,-5,-4]=>[2,3,1,5,4]=>0010
[-2,-3,1,5,4]=>[2,3,1,5,4]=>0010
[-2,-3,1,5,-4]=>[2,3,1,5,4]=>0010
[-2,-3,1,-5,4]=>[2,3,1,5,4]=>0010
[-2,-3,1,-5,-4]=>[2,3,1,5,4]=>0010
[-2,-3,-1,5,4]=>[2,3,1,5,4]=>0010
[-2,-3,-1,5,-4]=>[2,3,1,5,4]=>0010
[-2,-3,-1,-5,4]=>[2,3,1,5,4]=>0010
[-2,-3,-1,-5,-4]=>[2,3,1,5,4]=>0010
[2,3,4,1,5]=>[2,3,4,1,5]=>0001
[2,3,4,1,-5]=>[2,3,4,1,5]=>0001
[2,3,4,-1,5]=>[2,3,4,1,5]=>0001
[2,3,4,-1,-5]=>[2,3,4,1,5]=>0001
[2,3,-4,1,5]=>[2,3,4,1,5]=>0001
[2,3,-4,1,-5]=>[2,3,4,1,5]=>0001
[2,3,-4,-1,5]=>[2,3,4,1,5]=>0001
[2,3,-4,-1,-5]=>[2,3,4,1,5]=>0001
[2,-3,4,1,5]=>[2,3,4,1,5]=>0001
[2,-3,4,1,-5]=>[2,3,4,1,5]=>0001
[2,-3,4,-1,5]=>[2,3,4,1,5]=>0001
[2,-3,4,-1,-5]=>[2,3,4,1,5]=>0001
[2,-3,-4,1,5]=>[2,3,4,1,5]=>0001
[2,-3,-4,1,-5]=>[2,3,4,1,5]=>0001
[2,-3,-4,-1,5]=>[2,3,4,1,5]=>0001
[2,-3,-4,-1,-5]=>[2,3,4,1,5]=>0001
[-2,3,4,1,5]=>[2,3,4,1,5]=>0001
[-2,3,4,1,-5]=>[2,3,4,1,5]=>0001
[-2,3,4,-1,5]=>[2,3,4,1,5]=>0001
[-2,3,4,-1,-5]=>[2,3,4,1,5]=>0001
[-2,3,-4,1,5]=>[2,3,4,1,5]=>0001
[-2,3,-4,1,-5]=>[2,3,4,1,5]=>0001
[-2,3,-4,-1,5]=>[2,3,4,1,5]=>0001
[-2,3,-4,-1,-5]=>[2,3,4,1,5]=>0001
[-2,-3,4,1,5]=>[2,3,4,1,5]=>0001
[-2,-3,4,1,-5]=>[2,3,4,1,5]=>0001
[-2,-3,4,-1,5]=>[2,3,4,1,5]=>0001
[-2,-3,4,-1,-5]=>[2,3,4,1,5]=>0001
[-2,-3,-4,1,5]=>[2,3,4,1,5]=>0001
[-2,-3,-4,1,-5]=>[2,3,4,1,5]=>0001
[-2,-3,-4,-1,5]=>[2,3,4,1,5]=>0001
[-2,-3,-4,-1,-5]=>[2,3,4,1,5]=>0001
[2,3,4,5,1]=>[2,3,4,5,1]=>0000
[2,3,4,5,-1]=>[2,3,4,5,1]=>0000
[2,3,4,-5,1]=>[2,3,4,5,1]=>0000
[2,3,4,-5,-1]=>[2,3,4,5,1]=>0000
[2,3,-4,5,1]=>[2,3,4,5,1]=>0000
[2,3,-4,5,-1]=>[2,3,4,5,1]=>0000
[2,3,-4,-5,1]=>[2,3,4,5,1]=>0000
[2,3,-4,-5,-1]=>[2,3,4,5,1]=>0000
[2,-3,4,5,1]=>[2,3,4,5,1]=>0000
[2,-3,4,5,-1]=>[2,3,4,5,1]=>0000
[2,-3,4,-5,1]=>[2,3,4,5,1]=>0000
[2,-3,4,-5,-1]=>[2,3,4,5,1]=>0000
[2,-3,-4,5,1]=>[2,3,4,5,1]=>0000
[2,-3,-4,5,-1]=>[2,3,4,5,1]=>0000
[2,-3,-4,-5,1]=>[2,3,4,5,1]=>0000
[2,-3,-4,-5,-1]=>[2,3,4,5,1]=>0000
[-2,3,4,5,1]=>[2,3,4,5,1]=>0000
[-2,3,4,5,-1]=>[2,3,4,5,1]=>0000
[-2,3,4,-5,1]=>[2,3,4,5,1]=>0000
[-2,3,4,-5,-1]=>[2,3,4,5,1]=>0000
[-2,3,-4,5,1]=>[2,3,4,5,1]=>0000
[-2,3,-4,5,-1]=>[2,3,4,5,1]=>0000
[-2,3,-4,-5,1]=>[2,3,4,5,1]=>0000
[-2,3,-4,-5,-1]=>[2,3,4,5,1]=>0000
[-2,-3,4,5,1]=>[2,3,4,5,1]=>0000
[-2,-3,4,5,-1]=>[2,3,4,5,1]=>0000
[-2,-3,4,-5,1]=>[2,3,4,5,1]=>0000
[-2,-3,4,-5,-1]=>[2,3,4,5,1]=>0000
[-2,-3,-4,5,1]=>[2,3,4,5,1]=>0000
[-2,-3,-4,5,-1]=>[2,3,4,5,1]=>0000
[-2,-3,-4,-5,1]=>[2,3,4,5,1]=>0000
[-2,-3,-4,-5,-1]=>[2,3,4,5,1]=>0000
[2,3,5,1,4]=>[2,3,5,1,4]=>0000
[2,3,5,1,-4]=>[2,3,5,1,4]=>0000
[2,3,5,-1,4]=>[2,3,5,1,4]=>0000
[2,3,5,-1,-4]=>[2,3,5,1,4]=>0000
[2,3,-5,1,4]=>[2,3,5,1,4]=>0000
[2,3,-5,1,-4]=>[2,3,5,1,4]=>0000
[2,3,-5,-1,4]=>[2,3,5,1,4]=>0000
[2,3,-5,-1,-4]=>[2,3,5,1,4]=>0000
[2,-3,5,1,4]=>[2,3,5,1,4]=>0000
[2,-3,5,1,-4]=>[2,3,5,1,4]=>0000
[2,-3,5,-1,4]=>[2,3,5,1,4]=>0000
[2,-3,5,-1,-4]=>[2,3,5,1,4]=>0000
[2,-3,-5,1,4]=>[2,3,5,1,4]=>0000
[2,-3,-5,1,-4]=>[2,3,5,1,4]=>0000
[2,-3,-5,-1,4]=>[2,3,5,1,4]=>0000
[2,-3,-5,-1,-4]=>[2,3,5,1,4]=>0000
[-2,3,5,1,4]=>[2,3,5,1,4]=>0000
[-2,3,5,1,-4]=>[2,3,5,1,4]=>0000
[-2,3,5,-1,4]=>[2,3,5,1,4]=>0000
[-2,3,5,-1,-4]=>[2,3,5,1,4]=>0000
[-2,3,-5,1,4]=>[2,3,5,1,4]=>0000
[-2,3,-5,1,-4]=>[2,3,5,1,4]=>0000
[-2,3,-5,-1,4]=>[2,3,5,1,4]=>0000
[-2,3,-5,-1,-4]=>[2,3,5,1,4]=>0000
[-2,-3,5,1,4]=>[2,3,5,1,4]=>0000
[-2,-3,5,1,-4]=>[2,3,5,1,4]=>0000
[-2,-3,5,-1,4]=>[2,3,5,1,4]=>0000
[-2,-3,5,-1,-4]=>[2,3,5,1,4]=>0000
[-2,-3,-5,1,4]=>[2,3,5,1,4]=>0000
[-2,-3,-5,1,-4]=>[2,3,5,1,4]=>0000
[-2,-3,-5,-1,4]=>[2,3,5,1,4]=>0000
[-2,-3,-5,-1,-4]=>[2,3,5,1,4]=>0000
[2,3,5,4,1]=>[2,3,5,4,1]=>0000
[2,3,5,4,-1]=>[2,3,5,4,1]=>0000
[2,3,5,-4,1]=>[2,3,5,4,1]=>0000
[2,3,5,-4,-1]=>[2,3,5,4,1]=>0000
[2,3,-5,4,1]=>[2,3,5,4,1]=>0000
[2,3,-5,4,-1]=>[2,3,5,4,1]=>0000
[2,3,-5,-4,1]=>[2,3,5,4,1]=>0000
[2,3,-5,-4,-1]=>[2,3,5,4,1]=>0000
[2,-3,5,4,1]=>[2,3,5,4,1]=>0000
[2,-3,5,4,-1]=>[2,3,5,4,1]=>0000
[2,-3,5,-4,1]=>[2,3,5,4,1]=>0000
[2,-3,5,-4,-1]=>[2,3,5,4,1]=>0000
[2,-3,-5,4,1]=>[2,3,5,4,1]=>0000
[2,-3,-5,4,-1]=>[2,3,5,4,1]=>0000
[2,-3,-5,-4,1]=>[2,3,5,4,1]=>0000
[2,-3,-5,-4,-1]=>[2,3,5,4,1]=>0000
[-2,3,5,4,1]=>[2,3,5,4,1]=>0000
[-2,3,5,4,-1]=>[2,3,5,4,1]=>0000
[-2,3,5,-4,1]=>[2,3,5,4,1]=>0000
[-2,3,5,-4,-1]=>[2,3,5,4,1]=>0000
[-2,3,-5,4,1]=>[2,3,5,4,1]=>0000
[-2,3,-5,4,-1]=>[2,3,5,4,1]=>0000
[-2,3,-5,-4,1]=>[2,3,5,4,1]=>0000
[-2,3,-5,-4,-1]=>[2,3,5,4,1]=>0000
[-2,-3,5,4,1]=>[2,3,5,4,1]=>0000
[-2,-3,5,4,-1]=>[2,3,5,4,1]=>0000
[-2,-3,5,-4,1]=>[2,3,5,4,1]=>0000
[-2,-3,5,-4,-1]=>[2,3,5,4,1]=>0000
[-2,-3,-5,4,1]=>[2,3,5,4,1]=>0000
[-2,-3,-5,4,-1]=>[2,3,5,4,1]=>0000
[-2,-3,-5,-4,1]=>[2,3,5,4,1]=>0000
[-2,-3,-5,-4,-1]=>[2,3,5,4,1]=>0000
[2,4,1,3,5]=>[2,4,1,3,5]=>0001
[2,4,1,3,-5]=>[2,4,1,3,5]=>0001
[2,4,1,-3,5]=>[2,4,1,3,5]=>0001
[2,4,1,-3,-5]=>[2,4,1,3,5]=>0001
[2,4,-1,3,5]=>[2,4,1,3,5]=>0001
[2,4,-1,3,-5]=>[2,4,1,3,5]=>0001
[2,4,-1,-3,5]=>[2,4,1,3,5]=>0001
[2,4,-1,-3,-5]=>[2,4,1,3,5]=>0001
[2,-4,1,3,5]=>[2,4,1,3,5]=>0001
[2,-4,1,3,-5]=>[2,4,1,3,5]=>0001
[2,-4,1,-3,5]=>[2,4,1,3,5]=>0001
[2,-4,1,-3,-5]=>[2,4,1,3,5]=>0001
[2,-4,-1,3,5]=>[2,4,1,3,5]=>0001
[2,-4,-1,3,-5]=>[2,4,1,3,5]=>0001
[2,-4,-1,-3,5]=>[2,4,1,3,5]=>0001
[2,-4,-1,-3,-5]=>[2,4,1,3,5]=>0001
[-2,4,1,3,5]=>[2,4,1,3,5]=>0001
[-2,4,1,3,-5]=>[2,4,1,3,5]=>0001
[-2,4,1,-3,5]=>[2,4,1,3,5]=>0001
[-2,4,1,-3,-5]=>[2,4,1,3,5]=>0001
[-2,4,-1,3,5]=>[2,4,1,3,5]=>0001
[-2,4,-1,3,-5]=>[2,4,1,3,5]=>0001
[-2,4,-1,-3,5]=>[2,4,1,3,5]=>0001
[-2,4,-1,-3,-5]=>[2,4,1,3,5]=>0001
[-2,-4,1,3,5]=>[2,4,1,3,5]=>0001
[-2,-4,1,3,-5]=>[2,4,1,3,5]=>0001
[-2,-4,1,-3,5]=>[2,4,1,3,5]=>0001
[-2,-4,1,-3,-5]=>[2,4,1,3,5]=>0001
[-2,-4,-1,3,5]=>[2,4,1,3,5]=>0001
[-2,-4,-1,3,-5]=>[2,4,1,3,5]=>0001
[-2,-4,-1,-3,5]=>[2,4,1,3,5]=>0001
[-2,-4,-1,-3,-5]=>[2,4,1,3,5]=>0001
[2,4,1,5,3]=>[2,4,1,5,3]=>0000
[2,4,1,5,-3]=>[2,4,1,5,3]=>0000
[2,4,1,-5,3]=>[2,4,1,5,3]=>0000
[2,4,1,-5,-3]=>[2,4,1,5,3]=>0000
[2,4,-1,5,3]=>[2,4,1,5,3]=>0000
[2,4,-1,5,-3]=>[2,4,1,5,3]=>0000
[2,4,-1,-5,3]=>[2,4,1,5,3]=>0000
[2,4,-1,-5,-3]=>[2,4,1,5,3]=>0000
[2,-4,1,5,3]=>[2,4,1,5,3]=>0000
[2,-4,1,5,-3]=>[2,4,1,5,3]=>0000
[2,-4,1,-5,3]=>[2,4,1,5,3]=>0000
[2,-4,1,-5,-3]=>[2,4,1,5,3]=>0000
[2,-4,-1,5,3]=>[2,4,1,5,3]=>0000
[2,-4,-1,5,-3]=>[2,4,1,5,3]=>0000
[2,-4,-1,-5,3]=>[2,4,1,5,3]=>0000
[2,-4,-1,-5,-3]=>[2,4,1,5,3]=>0000
[-2,4,1,5,3]=>[2,4,1,5,3]=>0000
[-2,4,1,5,-3]=>[2,4,1,5,3]=>0000
[-2,4,1,-5,3]=>[2,4,1,5,3]=>0000
[-2,4,1,-5,-3]=>[2,4,1,5,3]=>0000
[-2,4,-1,5,3]=>[2,4,1,5,3]=>0000
[-2,4,-1,5,-3]=>[2,4,1,5,3]=>0000
[-2,4,-1,-5,3]=>[2,4,1,5,3]=>0000
[-2,4,-1,-5,-3]=>[2,4,1,5,3]=>0000
[-2,-4,1,5,3]=>[2,4,1,5,3]=>0000
[-2,-4,1,5,-3]=>[2,4,1,5,3]=>0000
[-2,-4,1,-5,3]=>[2,4,1,5,3]=>0000
[-2,-4,1,-5,-3]=>[2,4,1,5,3]=>0000
[-2,-4,-1,5,3]=>[2,4,1,5,3]=>0000
[-2,-4,-1,5,-3]=>[2,4,1,5,3]=>0000
[-2,-4,-1,-5,3]=>[2,4,1,5,3]=>0000
[-2,-4,-1,-5,-3]=>[2,4,1,5,3]=>0000
[2,4,3,1,5]=>[2,4,3,1,5]=>0001
[2,4,3,1,-5]=>[2,4,3,1,5]=>0001
[2,4,3,-1,5]=>[2,4,3,1,5]=>0001
[2,4,3,-1,-5]=>[2,4,3,1,5]=>0001
[2,4,-3,1,5]=>[2,4,3,1,5]=>0001
[2,4,-3,1,-5]=>[2,4,3,1,5]=>0001
[2,4,-3,-1,5]=>[2,4,3,1,5]=>0001
[2,4,-3,-1,-5]=>[2,4,3,1,5]=>0001
[2,-4,3,1,5]=>[2,4,3,1,5]=>0001
[2,-4,3,1,-5]=>[2,4,3,1,5]=>0001
[2,-4,3,-1,5]=>[2,4,3,1,5]=>0001
[2,-4,3,-1,-5]=>[2,4,3,1,5]=>0001
[2,-4,-3,1,5]=>[2,4,3,1,5]=>0001
[2,-4,-3,1,-5]=>[2,4,3,1,5]=>0001
[2,-4,-3,-1,5]=>[2,4,3,1,5]=>0001
[2,-4,-3,-1,-5]=>[2,4,3,1,5]=>0001
[-2,4,3,1,5]=>[2,4,3,1,5]=>0001
[-2,4,3,1,-5]=>[2,4,3,1,5]=>0001
[-2,4,3,-1,5]=>[2,4,3,1,5]=>0001
[-2,4,3,-1,-5]=>[2,4,3,1,5]=>0001
[-2,4,-3,1,5]=>[2,4,3,1,5]=>0001
[-2,4,-3,1,-5]=>[2,4,3,1,5]=>0001
[-2,4,-3,-1,5]=>[2,4,3,1,5]=>0001
[-2,4,-3,-1,-5]=>[2,4,3,1,5]=>0001
[-2,-4,3,1,5]=>[2,4,3,1,5]=>0001
[-2,-4,3,1,-5]=>[2,4,3,1,5]=>0001
[-2,-4,3,-1,5]=>[2,4,3,1,5]=>0001
[-2,-4,3,-1,-5]=>[2,4,3,1,5]=>0001
[-2,-4,-3,1,5]=>[2,4,3,1,5]=>0001
[-2,-4,-3,1,-5]=>[2,4,3,1,5]=>0001
[-2,-4,-3,-1,5]=>[2,4,3,1,5]=>0001
[-2,-4,-3,-1,-5]=>[2,4,3,1,5]=>0001
[2,4,3,5,1]=>[2,4,3,5,1]=>0000
[2,4,3,5,-1]=>[2,4,3,5,1]=>0000
[2,4,3,-5,1]=>[2,4,3,5,1]=>0000
[2,4,3,-5,-1]=>[2,4,3,5,1]=>0000
[2,4,-3,5,1]=>[2,4,3,5,1]=>0000
[2,4,-3,5,-1]=>[2,4,3,5,1]=>0000
[2,4,-3,-5,1]=>[2,4,3,5,1]=>0000
[2,4,-3,-5,-1]=>[2,4,3,5,1]=>0000
[2,-4,3,5,1]=>[2,4,3,5,1]=>0000
[2,-4,3,5,-1]=>[2,4,3,5,1]=>0000
[2,-4,3,-5,1]=>[2,4,3,5,1]=>0000
[2,-4,3,-5,-1]=>[2,4,3,5,1]=>0000
[2,-4,-3,5,1]=>[2,4,3,5,1]=>0000
[2,-4,-3,5,-1]=>[2,4,3,5,1]=>0000
[2,-4,-3,-5,1]=>[2,4,3,5,1]=>0000
[2,-4,-3,-5,-1]=>[2,4,3,5,1]=>0000
[-2,4,3,5,1]=>[2,4,3,5,1]=>0000
[-2,4,3,5,-1]=>[2,4,3,5,1]=>0000
[-2,4,3,-5,1]=>[2,4,3,5,1]=>0000
[-2,4,3,-5,-1]=>[2,4,3,5,1]=>0000
[-2,4,-3,5,1]=>[2,4,3,5,1]=>0000
[-2,4,-3,5,-1]=>[2,4,3,5,1]=>0000
[-2,4,-3,-5,1]=>[2,4,3,5,1]=>0000
[-2,4,-3,-5,-1]=>[2,4,3,5,1]=>0000
[-2,-4,3,5,1]=>[2,4,3,5,1]=>0000
[-2,-4,3,5,-1]=>[2,4,3,5,1]=>0000
[-2,-4,3,-5,1]=>[2,4,3,5,1]=>0000
[-2,-4,3,-5,-1]=>[2,4,3,5,1]=>0000
[-2,-4,-3,5,1]=>[2,4,3,5,1]=>0000
[-2,-4,-3,5,-1]=>[2,4,3,5,1]=>0000
[-2,-4,-3,-5,1]=>[2,4,3,5,1]=>0000
[-2,-4,-3,-5,-1]=>[2,4,3,5,1]=>0000
[2,4,5,1,3]=>[2,4,5,1,3]=>0000
[2,4,5,1,-3]=>[2,4,5,1,3]=>0000
[2,4,5,-1,3]=>[2,4,5,1,3]=>0000
[2,4,5,-1,-3]=>[2,4,5,1,3]=>0000
[2,4,-5,1,3]=>[2,4,5,1,3]=>0000
[2,4,-5,1,-3]=>[2,4,5,1,3]=>0000
[2,4,-5,-1,3]=>[2,4,5,1,3]=>0000
[2,4,-5,-1,-3]=>[2,4,5,1,3]=>0000
[2,-4,5,1,3]=>[2,4,5,1,3]=>0000
[2,-4,5,1,-3]=>[2,4,5,1,3]=>0000
[2,-4,5,-1,3]=>[2,4,5,1,3]=>0000
[2,-4,5,-1,-3]=>[2,4,5,1,3]=>0000
[2,-4,-5,1,3]=>[2,4,5,1,3]=>0000
[2,-4,-5,1,-3]=>[2,4,5,1,3]=>0000
[2,-4,-5,-1,3]=>[2,4,5,1,3]=>0000
[2,-4,-5,-1,-3]=>[2,4,5,1,3]=>0000
[-2,4,5,1,3]=>[2,4,5,1,3]=>0000
[-2,4,5,1,-3]=>[2,4,5,1,3]=>0000
[-2,4,5,-1,3]=>[2,4,5,1,3]=>0000
[-2,4,5,-1,-3]=>[2,4,5,1,3]=>0000
[-2,4,-5,1,3]=>[2,4,5,1,3]=>0000
[-2,4,-5,1,-3]=>[2,4,5,1,3]=>0000
[-2,4,-5,-1,3]=>[2,4,5,1,3]=>0000
[-2,4,-5,-1,-3]=>[2,4,5,1,3]=>0000
[-2,-4,5,1,3]=>[2,4,5,1,3]=>0000
[-2,-4,5,1,-3]=>[2,4,5,1,3]=>0000
[-2,-4,5,-1,3]=>[2,4,5,1,3]=>0000
[-2,-4,5,-1,-3]=>[2,4,5,1,3]=>0000
[-2,-4,-5,1,3]=>[2,4,5,1,3]=>0000
[-2,-4,-5,1,-3]=>[2,4,5,1,3]=>0000
[-2,-4,-5,-1,3]=>[2,4,5,1,3]=>0000
[-2,-4,-5,-1,-3]=>[2,4,5,1,3]=>0000
[2,4,5,3,1]=>[2,4,5,3,1]=>0000
[2,4,5,3,-1]=>[2,4,5,3,1]=>0000
[2,4,5,-3,1]=>[2,4,5,3,1]=>0000
[2,4,5,-3,-1]=>[2,4,5,3,1]=>0000
[2,4,-5,3,1]=>[2,4,5,3,1]=>0000
[2,4,-5,3,-1]=>[2,4,5,3,1]=>0000
[2,4,-5,-3,1]=>[2,4,5,3,1]=>0000
[2,4,-5,-3,-1]=>[2,4,5,3,1]=>0000
[2,-4,5,3,1]=>[2,4,5,3,1]=>0000
[2,-4,5,3,-1]=>[2,4,5,3,1]=>0000
[2,-4,5,-3,1]=>[2,4,5,3,1]=>0000
[2,-4,5,-3,-1]=>[2,4,5,3,1]=>0000
[2,-4,-5,3,1]=>[2,4,5,3,1]=>0000
[2,-4,-5,3,-1]=>[2,4,5,3,1]=>0000
[2,-4,-5,-3,1]=>[2,4,5,3,1]=>0000
[2,-4,-5,-3,-1]=>[2,4,5,3,1]=>0000
[-2,4,5,3,1]=>[2,4,5,3,1]=>0000
[-2,4,5,3,-1]=>[2,4,5,3,1]=>0000
[-2,4,5,-3,1]=>[2,4,5,3,1]=>0000
[-2,4,5,-3,-1]=>[2,4,5,3,1]=>0000
[-2,4,-5,3,1]=>[2,4,5,3,1]=>0000
[-2,4,-5,3,-1]=>[2,4,5,3,1]=>0000
[-2,4,-5,-3,1]=>[2,4,5,3,1]=>0000
[-2,4,-5,-3,-1]=>[2,4,5,3,1]=>0000
[-2,-4,5,3,1]=>[2,4,5,3,1]=>0000
[-2,-4,5,3,-1]=>[2,4,5,3,1]=>0000
[-2,-4,5,-3,1]=>[2,4,5,3,1]=>0000
[-2,-4,5,-3,-1]=>[2,4,5,3,1]=>0000
[-2,-4,-5,3,1]=>[2,4,5,3,1]=>0000
[-2,-4,-5,3,-1]=>[2,4,5,3,1]=>0000
[-2,-4,-5,-3,1]=>[2,4,5,3,1]=>0000
[-2,-4,-5,-3,-1]=>[2,4,5,3,1]=>0000
[2,5,1,3,4]=>[2,5,1,3,4]=>0000
[2,5,1,3,-4]=>[2,5,1,3,4]=>0000
[2,5,1,-3,4]=>[2,5,1,3,4]=>0000
[2,5,1,-3,-4]=>[2,5,1,3,4]=>0000
[2,5,-1,3,4]=>[2,5,1,3,4]=>0000
[2,5,-1,3,-4]=>[2,5,1,3,4]=>0000
[2,5,-1,-3,4]=>[2,5,1,3,4]=>0000
[2,5,-1,-3,-4]=>[2,5,1,3,4]=>0000
[2,-5,1,3,4]=>[2,5,1,3,4]=>0000
[2,-5,1,3,-4]=>[2,5,1,3,4]=>0000
[2,-5,1,-3,4]=>[2,5,1,3,4]=>0000
[2,-5,1,-3,-4]=>[2,5,1,3,4]=>0000
[2,-5,-1,3,4]=>[2,5,1,3,4]=>0000
[2,-5,-1,3,-4]=>[2,5,1,3,4]=>0000
[2,-5,-1,-3,4]=>[2,5,1,3,4]=>0000
[2,-5,-1,-3,-4]=>[2,5,1,3,4]=>0000
[-2,5,1,3,4]=>[2,5,1,3,4]=>0000
[-2,5,1,3,-4]=>[2,5,1,3,4]=>0000
[-2,5,1,-3,4]=>[2,5,1,3,4]=>0000
[-2,5,1,-3,-4]=>[2,5,1,3,4]=>0000
[-2,5,-1,3,4]=>[2,5,1,3,4]=>0000
[-2,5,-1,3,-4]=>[2,5,1,3,4]=>0000
[-2,5,-1,-3,4]=>[2,5,1,3,4]=>0000
[-2,5,-1,-3,-4]=>[2,5,1,3,4]=>0000
[-2,-5,1,3,4]=>[2,5,1,3,4]=>0000
[-2,-5,1,3,-4]=>[2,5,1,3,4]=>0000
[-2,-5,1,-3,4]=>[2,5,1,3,4]=>0000
[-2,-5,1,-3,-4]=>[2,5,1,3,4]=>0000
[-2,-5,-1,3,4]=>[2,5,1,3,4]=>0000
[-2,-5,-1,3,-4]=>[2,5,1,3,4]=>0000
[-2,-5,-1,-3,4]=>[2,5,1,3,4]=>0000
[-2,-5,-1,-3,-4]=>[2,5,1,3,4]=>0000
[2,5,1,4,3]=>[2,5,1,4,3]=>0000
[2,5,1,4,-3]=>[2,5,1,4,3]=>0000
[2,5,1,-4,3]=>[2,5,1,4,3]=>0000
[2,5,1,-4,-3]=>[2,5,1,4,3]=>0000
[2,5,-1,4,3]=>[2,5,1,4,3]=>0000
[2,5,-1,4,-3]=>[2,5,1,4,3]=>0000
[2,5,-1,-4,3]=>[2,5,1,4,3]=>0000
[2,5,-1,-4,-3]=>[2,5,1,4,3]=>0000
[2,-5,1,4,3]=>[2,5,1,4,3]=>0000
[2,-5,1,4,-3]=>[2,5,1,4,3]=>0000
[2,-5,1,-4,3]=>[2,5,1,4,3]=>0000
[2,-5,1,-4,-3]=>[2,5,1,4,3]=>0000
[2,-5,-1,4,3]=>[2,5,1,4,3]=>0000
[2,-5,-1,4,-3]=>[2,5,1,4,3]=>0000
[2,-5,-1,-4,3]=>[2,5,1,4,3]=>0000
[2,-5,-1,-4,-3]=>[2,5,1,4,3]=>0000
[-2,5,1,4,3]=>[2,5,1,4,3]=>0000
[-2,5,1,4,-3]=>[2,5,1,4,3]=>0000
[-2,5,1,-4,3]=>[2,5,1,4,3]=>0000
[-2,5,1,-4,-3]=>[2,5,1,4,3]=>0000
[-2,5,-1,4,3]=>[2,5,1,4,3]=>0000
[-2,5,-1,4,-3]=>[2,5,1,4,3]=>0000
[-2,5,-1,-4,3]=>[2,5,1,4,3]=>0000
[-2,5,-1,-4,-3]=>[2,5,1,4,3]=>0000
[-2,-5,1,4,3]=>[2,5,1,4,3]=>0000
[-2,-5,1,4,-3]=>[2,5,1,4,3]=>0000
[-2,-5,1,-4,3]=>[2,5,1,4,3]=>0000
[-2,-5,1,-4,-3]=>[2,5,1,4,3]=>0000
[-2,-5,-1,4,3]=>[2,5,1,4,3]=>0000
[-2,-5,-1,4,-3]=>[2,5,1,4,3]=>0000
[-2,-5,-1,-4,3]=>[2,5,1,4,3]=>0000
[-2,-5,-1,-4,-3]=>[2,5,1,4,3]=>0000
[2,5,3,1,4]=>[2,5,3,1,4]=>0000
[2,5,3,1,-4]=>[2,5,3,1,4]=>0000
[2,5,3,-1,4]=>[2,5,3,1,4]=>0000
[2,5,3,-1,-4]=>[2,5,3,1,4]=>0000
[2,5,-3,1,4]=>[2,5,3,1,4]=>0000
[2,5,-3,1,-4]=>[2,5,3,1,4]=>0000
[2,5,-3,-1,4]=>[2,5,3,1,4]=>0000
[2,5,-3,-1,-4]=>[2,5,3,1,4]=>0000
[2,-5,3,1,4]=>[2,5,3,1,4]=>0000
[2,-5,3,1,-4]=>[2,5,3,1,4]=>0000
[2,-5,3,-1,4]=>[2,5,3,1,4]=>0000
[2,-5,3,-1,-4]=>[2,5,3,1,4]=>0000
[2,-5,-3,1,4]=>[2,5,3,1,4]=>0000
[2,-5,-3,1,-4]=>[2,5,3,1,4]=>0000
[2,-5,-3,-1,4]=>[2,5,3,1,4]=>0000
[2,-5,-3,-1,-4]=>[2,5,3,1,4]=>0000
[-2,5,3,1,4]=>[2,5,3,1,4]=>0000
[-2,5,3,1,-4]=>[2,5,3,1,4]=>0000
[-2,5,3,-1,4]=>[2,5,3,1,4]=>0000
[-2,5,3,-1,-4]=>[2,5,3,1,4]=>0000
[-2,5,-3,1,4]=>[2,5,3,1,4]=>0000
[-2,5,-3,1,-4]=>[2,5,3,1,4]=>0000
[-2,5,-3,-1,4]=>[2,5,3,1,4]=>0000
[-2,5,-3,-1,-4]=>[2,5,3,1,4]=>0000
[-2,-5,3,1,4]=>[2,5,3,1,4]=>0000
[-2,-5,3,1,-4]=>[2,5,3,1,4]=>0000
[-2,-5,3,-1,4]=>[2,5,3,1,4]=>0000
[-2,-5,3,-1,-4]=>[2,5,3,1,4]=>0000
[-2,-5,-3,1,4]=>[2,5,3,1,4]=>0000
[-2,-5,-3,1,-4]=>[2,5,3,1,4]=>0000
[-2,-5,-3,-1,4]=>[2,5,3,1,4]=>0000
[-2,-5,-3,-1,-4]=>[2,5,3,1,4]=>0000
[2,5,3,4,1]=>[2,5,3,4,1]=>0000
[2,5,3,4,-1]=>[2,5,3,4,1]=>0000
[2,5,3,-4,1]=>[2,5,3,4,1]=>0000
[2,5,3,-4,-1]=>[2,5,3,4,1]=>0000
[2,5,-3,4,1]=>[2,5,3,4,1]=>0000
[2,5,-3,4,-1]=>[2,5,3,4,1]=>0000
[2,5,-3,-4,1]=>[2,5,3,4,1]=>0000
[2,5,-3,-4,-1]=>[2,5,3,4,1]=>0000
[2,-5,3,4,1]=>[2,5,3,4,1]=>0000
[2,-5,3,4,-1]=>[2,5,3,4,1]=>0000
[2,-5,3,-4,1]=>[2,5,3,4,1]=>0000
[2,-5,3,-4,-1]=>[2,5,3,4,1]=>0000
[2,-5,-3,4,1]=>[2,5,3,4,1]=>0000
[2,-5,-3,4,-1]=>[2,5,3,4,1]=>0000
[2,-5,-3,-4,1]=>[2,5,3,4,1]=>0000
[2,-5,-3,-4,-1]=>[2,5,3,4,1]=>0000
[-2,5,3,4,1]=>[2,5,3,4,1]=>0000
[-2,5,3,4,-1]=>[2,5,3,4,1]=>0000
[-2,5,3,-4,1]=>[2,5,3,4,1]=>0000
[-2,5,3,-4,-1]=>[2,5,3,4,1]=>0000
[-2,5,-3,4,1]=>[2,5,3,4,1]=>0000
[-2,5,-3,4,-1]=>[2,5,3,4,1]=>0000
[-2,5,-3,-4,1]=>[2,5,3,4,1]=>0000
[-2,5,-3,-4,-1]=>[2,5,3,4,1]=>0000
[-2,-5,3,4,1]=>[2,5,3,4,1]=>0000
[-2,-5,3,4,-1]=>[2,5,3,4,1]=>0000
[-2,-5,3,-4,1]=>[2,5,3,4,1]=>0000
[-2,-5,3,-4,-1]=>[2,5,3,4,1]=>0000
[-2,-5,-3,4,1]=>[2,5,3,4,1]=>0000
[-2,-5,-3,4,-1]=>[2,5,3,4,1]=>0000
[-2,-5,-3,-4,1]=>[2,5,3,4,1]=>0000
[-2,-5,-3,-4,-1]=>[2,5,3,4,1]=>0000
[2,5,4,1,3]=>[2,5,4,1,3]=>0000
[2,5,4,1,-3]=>[2,5,4,1,3]=>0000
[2,5,4,-1,3]=>[2,5,4,1,3]=>0000
[2,5,4,-1,-3]=>[2,5,4,1,3]=>0000
[2,5,-4,1,3]=>[2,5,4,1,3]=>0000
[2,5,-4,1,-3]=>[2,5,4,1,3]=>0000
[2,5,-4,-1,3]=>[2,5,4,1,3]=>0000
[2,5,-4,-1,-3]=>[2,5,4,1,3]=>0000
[2,-5,4,1,3]=>[2,5,4,1,3]=>0000
[2,-5,4,1,-3]=>[2,5,4,1,3]=>0000
[2,-5,4,-1,3]=>[2,5,4,1,3]=>0000
[2,-5,4,-1,-3]=>[2,5,4,1,3]=>0000
[2,-5,-4,1,3]=>[2,5,4,1,3]=>0000
[2,-5,-4,1,-3]=>[2,5,4,1,3]=>0000
[2,-5,-4,-1,3]=>[2,5,4,1,3]=>0000
[2,-5,-4,-1,-3]=>[2,5,4,1,3]=>0000
[-2,5,4,1,3]=>[2,5,4,1,3]=>0000
[-2,5,4,1,-3]=>[2,5,4,1,3]=>0000
[-2,5,4,-1,3]=>[2,5,4,1,3]=>0000
[-2,5,4,-1,-3]=>[2,5,4,1,3]=>0000
[-2,5,-4,1,3]=>[2,5,4,1,3]=>0000
[-2,5,-4,1,-3]=>[2,5,4,1,3]=>0000
[-2,5,-4,-1,3]=>[2,5,4,1,3]=>0000
[-2,5,-4,-1,-3]=>[2,5,4,1,3]=>0000
[-2,-5,4,1,3]=>[2,5,4,1,3]=>0000
[-2,-5,4,1,-3]=>[2,5,4,1,3]=>0000
[-2,-5,4,-1,3]=>[2,5,4,1,3]=>0000
[-2,-5,4,-1,-3]=>[2,5,4,1,3]=>0000
[-2,-5,-4,1,3]=>[2,5,4,1,3]=>0000
[-2,-5,-4,1,-3]=>[2,5,4,1,3]=>0000
[-2,-5,-4,-1,3]=>[2,5,4,1,3]=>0000
[-2,-5,-4,-1,-3]=>[2,5,4,1,3]=>0000
[2,5,4,3,1]=>[2,5,4,3,1]=>0000
[2,5,4,3,-1]=>[2,5,4,3,1]=>0000
[2,5,4,-3,1]=>[2,5,4,3,1]=>0000
[2,5,4,-3,-1]=>[2,5,4,3,1]=>0000
[2,5,-4,3,1]=>[2,5,4,3,1]=>0000
[2,5,-4,3,-1]=>[2,5,4,3,1]=>0000
[2,5,-4,-3,1]=>[2,5,4,3,1]=>0000
[2,5,-4,-3,-1]=>[2,5,4,3,1]=>0000
[2,-5,4,3,1]=>[2,5,4,3,1]=>0000
[2,-5,4,3,-1]=>[2,5,4,3,1]=>0000
[2,-5,4,-3,1]=>[2,5,4,3,1]=>0000
[2,-5,4,-3,-1]=>[2,5,4,3,1]=>0000
[2,-5,-4,3,1]=>[2,5,4,3,1]=>0000
[2,-5,-4,3,-1]=>[2,5,4,3,1]=>0000
[2,-5,-4,-3,1]=>[2,5,4,3,1]=>0000
[2,-5,-4,-3,-1]=>[2,5,4,3,1]=>0000
[-2,5,4,3,1]=>[2,5,4,3,1]=>0000
[-2,5,4,3,-1]=>[2,5,4,3,1]=>0000
[-2,5,4,-3,1]=>[2,5,4,3,1]=>0000
[-2,5,4,-3,-1]=>[2,5,4,3,1]=>0000
[-2,5,-4,3,1]=>[2,5,4,3,1]=>0000
[-2,5,-4,3,-1]=>[2,5,4,3,1]=>0000
[-2,5,-4,-3,1]=>[2,5,4,3,1]=>0000
[-2,5,-4,-3,-1]=>[2,5,4,3,1]=>0000
[-2,-5,4,3,1]=>[2,5,4,3,1]=>0000
[-2,-5,4,3,-1]=>[2,5,4,3,1]=>0000
[-2,-5,4,-3,1]=>[2,5,4,3,1]=>0000
[-2,-5,4,-3,-1]=>[2,5,4,3,1]=>0000
[-2,-5,-4,3,1]=>[2,5,4,3,1]=>0000
[-2,-5,-4,3,-1]=>[2,5,4,3,1]=>0000
[-2,-5,-4,-3,1]=>[2,5,4,3,1]=>0000
[-2,-5,-4,-3,-1]=>[2,5,4,3,1]=>0000
[3,1,2,4,5]=>[3,1,2,4,5]=>0011
[3,1,2,4,-5]=>[3,1,2,4,5]=>0011
[3,1,2,-4,5]=>[3,1,2,4,5]=>0011
[3,1,2,-4,-5]=>[3,1,2,4,5]=>0011
[3,1,-2,4,5]=>[3,1,2,4,5]=>0011
[3,1,-2,4,-5]=>[3,1,2,4,5]=>0011
[3,1,-2,-4,5]=>[3,1,2,4,5]=>0011
[3,1,-2,-4,-5]=>[3,1,2,4,5]=>0011
[3,-1,2,4,5]=>[3,1,2,4,5]=>0011
[3,-1,2,4,-5]=>[3,1,2,4,5]=>0011
[3,-1,2,-4,5]=>[3,1,2,4,5]=>0011
[3,-1,2,-4,-5]=>[3,1,2,4,5]=>0011
[3,-1,-2,4,5]=>[3,1,2,4,5]=>0011
[3,-1,-2,4,-5]=>[3,1,2,4,5]=>0011
[3,-1,-2,-4,5]=>[3,1,2,4,5]=>0011
[3,-1,-2,-4,-5]=>[3,1,2,4,5]=>0011
[-3,1,2,4,5]=>[3,1,2,4,5]=>0011
[-3,1,2,4,-5]=>[3,1,2,4,5]=>0011
[-3,1,2,-4,5]=>[3,1,2,4,5]=>0011
[-3,1,2,-4,-5]=>[3,1,2,4,5]=>0011
[-3,1,-2,4,5]=>[3,1,2,4,5]=>0011
[-3,1,-2,4,-5]=>[3,1,2,4,5]=>0011
[-3,1,-2,-4,5]=>[3,1,2,4,5]=>0011
[-3,1,-2,-4,-5]=>[3,1,2,4,5]=>0011
[-3,-1,2,4,5]=>[3,1,2,4,5]=>0011
[-3,-1,2,4,-5]=>[3,1,2,4,5]=>0011
[-3,-1,2,-4,5]=>[3,1,2,4,5]=>0011
[-3,-1,2,-4,-5]=>[3,1,2,4,5]=>0011
[-3,-1,-2,4,5]=>[3,1,2,4,5]=>0011
[-3,-1,-2,4,-5]=>[3,1,2,4,5]=>0011
[-3,-1,-2,-4,5]=>[3,1,2,4,5]=>0011
[-3,-1,-2,-4,-5]=>[3,1,2,4,5]=>0011
[3,1,2,5,4]=>[3,1,2,5,4]=>0010
[3,1,2,5,-4]=>[3,1,2,5,4]=>0010
[3,1,2,-5,4]=>[3,1,2,5,4]=>0010
[3,1,2,-5,-4]=>[3,1,2,5,4]=>0010
[3,1,-2,5,4]=>[3,1,2,5,4]=>0010
[3,1,-2,5,-4]=>[3,1,2,5,4]=>0010
[3,1,-2,-5,4]=>[3,1,2,5,4]=>0010
[3,1,-2,-5,-4]=>[3,1,2,5,4]=>0010
[3,-1,2,5,4]=>[3,1,2,5,4]=>0010
[3,-1,2,5,-4]=>[3,1,2,5,4]=>0010
[3,-1,2,-5,4]=>[3,1,2,5,4]=>0010
[3,-1,2,-5,-4]=>[3,1,2,5,4]=>0010
[3,-1,-2,5,4]=>[3,1,2,5,4]=>0010
[3,-1,-2,5,-4]=>[3,1,2,5,4]=>0010
[3,-1,-2,-5,4]=>[3,1,2,5,4]=>0010
[3,-1,-2,-5,-4]=>[3,1,2,5,4]=>0010
[-3,1,2,5,4]=>[3,1,2,5,4]=>0010
[-3,1,2,5,-4]=>[3,1,2,5,4]=>0010
[-3,1,2,-5,4]=>[3,1,2,5,4]=>0010
[-3,1,2,-5,-4]=>[3,1,2,5,4]=>0010
[-3,1,-2,5,4]=>[3,1,2,5,4]=>0010
[-3,1,-2,5,-4]=>[3,1,2,5,4]=>0010
[-3,1,-2,-5,4]=>[3,1,2,5,4]=>0010
[-3,1,-2,-5,-4]=>[3,1,2,5,4]=>0010
[-3,-1,2,5,4]=>[3,1,2,5,4]=>0010
[-3,-1,2,5,-4]=>[3,1,2,5,4]=>0010
[-3,-1,2,-5,4]=>[3,1,2,5,4]=>0010
[-3,-1,2,-5,-4]=>[3,1,2,5,4]=>0010
[-3,-1,-2,5,4]=>[3,1,2,5,4]=>0010
[-3,-1,-2,5,-4]=>[3,1,2,5,4]=>0010
[-3,-1,-2,-5,4]=>[3,1,2,5,4]=>0010
[-3,-1,-2,-5,-4]=>[3,1,2,5,4]=>0010
[3,1,4,2,5]=>[3,1,4,2,5]=>0001
[3,1,4,2,-5]=>[3,1,4,2,5]=>0001
[3,1,4,-2,5]=>[3,1,4,2,5]=>0001
[3,1,4,-2,-5]=>[3,1,4,2,5]=>0001
[3,1,-4,2,5]=>[3,1,4,2,5]=>0001
[3,1,-4,2,-5]=>[3,1,4,2,5]=>0001
[3,1,-4,-2,5]=>[3,1,4,2,5]=>0001
[3,1,-4,-2,-5]=>[3,1,4,2,5]=>0001
[3,-1,4,2,5]=>[3,1,4,2,5]=>0001
[3,-1,4,2,-5]=>[3,1,4,2,5]=>0001
[3,-1,4,-2,5]=>[3,1,4,2,5]=>0001
[3,-1,4,-2,-5]=>[3,1,4,2,5]=>0001
[3,-1,-4,2,5]=>[3,1,4,2,5]=>0001
[3,-1,-4,2,-5]=>[3,1,4,2,5]=>0001
[3,-1,-4,-2,5]=>[3,1,4,2,5]=>0001
[3,-1,-4,-2,-5]=>[3,1,4,2,5]=>0001
[-3,1,4,2,5]=>[3,1,4,2,5]=>0001
[-3,1,4,2,-5]=>[3,1,4,2,5]=>0001
[-3,1,4,-2,5]=>[3,1,4,2,5]=>0001
[-3,1,4,-2,-5]=>[3,1,4,2,5]=>0001
[-3,1,-4,2,5]=>[3,1,4,2,5]=>0001
[-3,1,-4,2,-5]=>[3,1,4,2,5]=>0001
[-3,1,-4,-2,5]=>[3,1,4,2,5]=>0001
[-3,1,-4,-2,-5]=>[3,1,4,2,5]=>0001
[-3,-1,4,2,5]=>[3,1,4,2,5]=>0001
[-3,-1,4,2,-5]=>[3,1,4,2,5]=>0001
[-3,-1,4,-2,5]=>[3,1,4,2,5]=>0001
[-3,-1,4,-2,-5]=>[3,1,4,2,5]=>0001
[-3,-1,-4,2,5]=>[3,1,4,2,5]=>0001
[-3,-1,-4,2,-5]=>[3,1,4,2,5]=>0001
[-3,-1,-4,-2,5]=>[3,1,4,2,5]=>0001
[-3,-1,-4,-2,-5]=>[3,1,4,2,5]=>0001
[3,1,4,5,2]=>[3,1,4,5,2]=>0000
[3,1,4,5,-2]=>[3,1,4,5,2]=>0000
[3,1,4,-5,2]=>[3,1,4,5,2]=>0000
[3,1,4,-5,-2]=>[3,1,4,5,2]=>0000
[3,1,-4,5,2]=>[3,1,4,5,2]=>0000
[3,1,-4,5,-2]=>[3,1,4,5,2]=>0000
[3,1,-4,-5,2]=>[3,1,4,5,2]=>0000
[3,1,-4,-5,-2]=>[3,1,4,5,2]=>0000
[3,-1,4,5,2]=>[3,1,4,5,2]=>0000
[3,-1,4,5,-2]=>[3,1,4,5,2]=>0000
[3,-1,4,-5,2]=>[3,1,4,5,2]=>0000
[3,-1,4,-5,-2]=>[3,1,4,5,2]=>0000
[3,-1,-4,5,2]=>[3,1,4,5,2]=>0000
[3,-1,-4,5,-2]=>[3,1,4,5,2]=>0000
[3,-1,-4,-5,2]=>[3,1,4,5,2]=>0000
[3,-1,-4,-5,-2]=>[3,1,4,5,2]=>0000
[-3,1,4,5,2]=>[3,1,4,5,2]=>0000
[-3,1,4,5,-2]=>[3,1,4,5,2]=>0000
[-3,1,4,-5,2]=>[3,1,4,5,2]=>0000
[-3,1,4,-5,-2]=>[3,1,4,5,2]=>0000
[-3,1,-4,5,2]=>[3,1,4,5,2]=>0000
[-3,1,-4,5,-2]=>[3,1,4,5,2]=>0000
[-3,1,-4,-5,2]=>[3,1,4,5,2]=>0000
[-3,1,-4,-5,-2]=>[3,1,4,5,2]=>0000
[-3,-1,4,5,2]=>[3,1,4,5,2]=>0000
[-3,-1,4,5,-2]=>[3,1,4,5,2]=>0000
[-3,-1,4,-5,2]=>[3,1,4,5,2]=>0000
[-3,-1,4,-5,-2]=>[3,1,4,5,2]=>0000
[-3,-1,-4,5,2]=>[3,1,4,5,2]=>0000
[-3,-1,-4,5,-2]=>[3,1,4,5,2]=>0000
[-3,-1,-4,-5,2]=>[3,1,4,5,2]=>0000
[-3,-1,-4,-5,-2]=>[3,1,4,5,2]=>0000
[3,1,5,2,4]=>[3,1,5,2,4]=>0000
[3,1,5,2,-4]=>[3,1,5,2,4]=>0000
[3,1,5,-2,4]=>[3,1,5,2,4]=>0000
[3,1,5,-2,-4]=>[3,1,5,2,4]=>0000
[3,1,-5,2,4]=>[3,1,5,2,4]=>0000
[3,1,-5,2,-4]=>[3,1,5,2,4]=>0000
[3,1,-5,-2,4]=>[3,1,5,2,4]=>0000
[3,1,-5,-2,-4]=>[3,1,5,2,4]=>0000
[3,-1,5,2,4]=>[3,1,5,2,4]=>0000
[3,-1,5,2,-4]=>[3,1,5,2,4]=>0000
[3,-1,5,-2,4]=>[3,1,5,2,4]=>0000
[3,-1,5,-2,-4]=>[3,1,5,2,4]=>0000
[3,-1,-5,2,4]=>[3,1,5,2,4]=>0000
[3,-1,-5,2,-4]=>[3,1,5,2,4]=>0000
[3,-1,-5,-2,4]=>[3,1,5,2,4]=>0000
[3,-1,-5,-2,-4]=>[3,1,5,2,4]=>0000
[-3,1,5,2,4]=>[3,1,5,2,4]=>0000
[-3,1,5,2,-4]=>[3,1,5,2,4]=>0000
[-3,1,5,-2,4]=>[3,1,5,2,4]=>0000
[-3,1,5,-2,-4]=>[3,1,5,2,4]=>0000
[-3,1,-5,2,4]=>[3,1,5,2,4]=>0000
[-3,1,-5,2,-4]=>[3,1,5,2,4]=>0000
[-3,1,-5,-2,4]=>[3,1,5,2,4]=>0000
[-3,1,-5,-2,-4]=>[3,1,5,2,4]=>0000
[-3,-1,5,2,4]=>[3,1,5,2,4]=>0000
[-3,-1,5,2,-4]=>[3,1,5,2,4]=>0000
[-3,-1,5,-2,4]=>[3,1,5,2,4]=>0000
[-3,-1,5,-2,-4]=>[3,1,5,2,4]=>0000
[-3,-1,-5,2,4]=>[3,1,5,2,4]=>0000
[-3,-1,-5,2,-4]=>[3,1,5,2,4]=>0000
[-3,-1,-5,-2,4]=>[3,1,5,2,4]=>0000
[-3,-1,-5,-2,-4]=>[3,1,5,2,4]=>0000
[3,1,5,4,2]=>[3,1,5,4,2]=>0000
[3,1,5,4,-2]=>[3,1,5,4,2]=>0000
[3,1,5,-4,2]=>[3,1,5,4,2]=>0000
[3,1,5,-4,-2]=>[3,1,5,4,2]=>0000
[3,1,-5,4,2]=>[3,1,5,4,2]=>0000
[3,1,-5,4,-2]=>[3,1,5,4,2]=>0000
[3,1,-5,-4,2]=>[3,1,5,4,2]=>0000
[3,1,-5,-4,-2]=>[3,1,5,4,2]=>0000
[3,-1,5,4,2]=>[3,1,5,4,2]=>0000
[3,-1,5,4,-2]=>[3,1,5,4,2]=>0000
[3,-1,5,-4,2]=>[3,1,5,4,2]=>0000
[3,-1,5,-4,-2]=>[3,1,5,4,2]=>0000
[3,-1,-5,4,2]=>[3,1,5,4,2]=>0000
[3,-1,-5,4,-2]=>[3,1,5,4,2]=>0000
[3,-1,-5,-4,2]=>[3,1,5,4,2]=>0000
[3,-1,-5,-4,-2]=>[3,1,5,4,2]=>0000
[-3,1,5,4,2]=>[3,1,5,4,2]=>0000
[-3,1,5,4,-2]=>[3,1,5,4,2]=>0000
[-3,1,5,-4,2]=>[3,1,5,4,2]=>0000
[-3,1,5,-4,-2]=>[3,1,5,4,2]=>0000
[-3,1,-5,4,2]=>[3,1,5,4,2]=>0000
[-3,1,-5,4,-2]=>[3,1,5,4,2]=>0000
[-3,1,-5,-4,2]=>[3,1,5,4,2]=>0000
[-3,1,-5,-4,-2]=>[3,1,5,4,2]=>0000
[-3,-1,5,4,2]=>[3,1,5,4,2]=>0000
[-3,-1,5,4,-2]=>[3,1,5,4,2]=>0000
[-3,-1,5,-4,2]=>[3,1,5,4,2]=>0000
[-3,-1,5,-4,-2]=>[3,1,5,4,2]=>0000
[-3,-1,-5,4,2]=>[3,1,5,4,2]=>0000
[-3,-1,-5,4,-2]=>[3,1,5,4,2]=>0000
[-3,-1,-5,-4,2]=>[3,1,5,4,2]=>0000
[-3,-1,-5,-4,-2]=>[3,1,5,4,2]=>0000
[3,2,1,4,5]=>[3,2,1,4,5]=>0011
[3,2,1,4,-5]=>[3,2,1,4,5]=>0011
[3,2,1,-4,5]=>[3,2,1,4,5]=>0011
[3,2,1,-4,-5]=>[3,2,1,4,5]=>0011
[3,2,-1,4,5]=>[3,2,1,4,5]=>0011
[3,2,-1,4,-5]=>[3,2,1,4,5]=>0011
[3,2,-1,-4,5]=>[3,2,1,4,5]=>0011
[3,2,-1,-4,-5]=>[3,2,1,4,5]=>0011
[3,-2,1,4,5]=>[3,2,1,4,5]=>0011
[3,-2,1,4,-5]=>[3,2,1,4,5]=>0011
[3,-2,1,-4,5]=>[3,2,1,4,5]=>0011
[3,-2,1,-4,-5]=>[3,2,1,4,5]=>0011
[3,-2,-1,4,5]=>[3,2,1,4,5]=>0011
[3,-2,-1,4,-5]=>[3,2,1,4,5]=>0011
[3,-2,-1,-4,5]=>[3,2,1,4,5]=>0011
[3,-2,-1,-4,-5]=>[3,2,1,4,5]=>0011
[-3,2,1,4,5]=>[3,2,1,4,5]=>0011
[-3,2,1,4,-5]=>[3,2,1,4,5]=>0011
[-3,2,1,-4,5]=>[3,2,1,4,5]=>0011
[-3,2,1,-4,-5]=>[3,2,1,4,5]=>0011
[-3,2,-1,4,5]=>[3,2,1,4,5]=>0011
[-3,2,-1,4,-5]=>[3,2,1,4,5]=>0011
[-3,2,-1,-4,5]=>[3,2,1,4,5]=>0011
[-3,2,-1,-4,-5]=>[3,2,1,4,5]=>0011
[-3,-2,1,4,5]=>[3,2,1,4,5]=>0011
[-3,-2,1,4,-5]=>[3,2,1,4,5]=>0011
[-3,-2,1,-4,5]=>[3,2,1,4,5]=>0011
[-3,-2,1,-4,-5]=>[3,2,1,4,5]=>0011
[-3,-2,-1,4,5]=>[3,2,1,4,5]=>0011
[-3,-2,-1,4,-5]=>[3,2,1,4,5]=>0011
[-3,-2,-1,-4,5]=>[3,2,1,4,5]=>0011
[-3,-2,-1,-4,-5]=>[3,2,1,4,5]=>0011
[3,2,1,5,4]=>[3,2,1,5,4]=>0010
[3,2,1,5,-4]=>[3,2,1,5,4]=>0010
[3,2,1,-5,4]=>[3,2,1,5,4]=>0010
[3,2,1,-5,-4]=>[3,2,1,5,4]=>0010
[3,2,-1,5,4]=>[3,2,1,5,4]=>0010
[3,2,-1,5,-4]=>[3,2,1,5,4]=>0010
[3,2,-1,-5,4]=>[3,2,1,5,4]=>0010
[3,2,-1,-5,-4]=>[3,2,1,5,4]=>0010
[3,-2,1,5,4]=>[3,2,1,5,4]=>0010
[3,-2,1,5,-4]=>[3,2,1,5,4]=>0010
[3,-2,1,-5,4]=>[3,2,1,5,4]=>0010
[3,-2,1,-5,-4]=>[3,2,1,5,4]=>0010
[3,-2,-1,5,4]=>[3,2,1,5,4]=>0010
[3,-2,-1,5,-4]=>[3,2,1,5,4]=>0010
[3,-2,-1,-5,4]=>[3,2,1,5,4]=>0010
[3,-2,-1,-5,-4]=>[3,2,1,5,4]=>0010
[-3,2,1,5,4]=>[3,2,1,5,4]=>0010
[-3,2,1,5,-4]=>[3,2,1,5,4]=>0010
[-3,2,1,-5,4]=>[3,2,1,5,4]=>0010
[-3,2,1,-5,-4]=>[3,2,1,5,4]=>0010
[-3,2,-1,5,4]=>[3,2,1,5,4]=>0010
[-3,2,-1,5,-4]=>[3,2,1,5,4]=>0010
[-3,2,-1,-5,4]=>[3,2,1,5,4]=>0010
[-3,2,-1,-5,-4]=>[3,2,1,5,4]=>0010
[-3,-2,1,5,4]=>[3,2,1,5,4]=>0010
[-3,-2,1,5,-4]=>[3,2,1,5,4]=>0010
[-3,-2,1,-5,4]=>[3,2,1,5,4]=>0010
[-3,-2,1,-5,-4]=>[3,2,1,5,4]=>0010
[-3,-2,-1,5,4]=>[3,2,1,5,4]=>0010
[-3,-2,-1,5,-4]=>[3,2,1,5,4]=>0010
[-3,-2,-1,-5,4]=>[3,2,1,5,4]=>0010
[-3,-2,-1,-5,-4]=>[3,2,1,5,4]=>0010
[3,2,4,1,5]=>[3,2,4,1,5]=>0001
[3,2,4,1,-5]=>[3,2,4,1,5]=>0001
[3,2,4,-1,5]=>[3,2,4,1,5]=>0001
[3,2,4,-1,-5]=>[3,2,4,1,5]=>0001
[3,2,-4,1,5]=>[3,2,4,1,5]=>0001
[3,2,-4,1,-5]=>[3,2,4,1,5]=>0001
[3,2,-4,-1,5]=>[3,2,4,1,5]=>0001
[3,2,-4,-1,-5]=>[3,2,4,1,5]=>0001
[3,-2,4,1,5]=>[3,2,4,1,5]=>0001
[3,-2,4,1,-5]=>[3,2,4,1,5]=>0001
[3,-2,4,-1,5]=>[3,2,4,1,5]=>0001
[3,-2,4,-1,-5]=>[3,2,4,1,5]=>0001
[3,-2,-4,1,5]=>[3,2,4,1,5]=>0001
[3,-2,-4,1,-5]=>[3,2,4,1,5]=>0001
[3,-2,-4,-1,5]=>[3,2,4,1,5]=>0001
[3,-2,-4,-1,-5]=>[3,2,4,1,5]=>0001
[-3,2,4,1,5]=>[3,2,4,1,5]=>0001
[-3,2,4,1,-5]=>[3,2,4,1,5]=>0001
[-3,2,4,-1,5]=>[3,2,4,1,5]=>0001
[-3,2,4,-1,-5]=>[3,2,4,1,5]=>0001
[-3,2,-4,1,5]=>[3,2,4,1,5]=>0001
[-3,2,-4,1,-5]=>[3,2,4,1,5]=>0001
[-3,2,-4,-1,5]=>[3,2,4,1,5]=>0001
[-3,2,-4,-1,-5]=>[3,2,4,1,5]=>0001
[-3,-2,4,1,5]=>[3,2,4,1,5]=>0001
[-3,-2,4,1,-5]=>[3,2,4,1,5]=>0001
[-3,-2,4,-1,5]=>[3,2,4,1,5]=>0001
[-3,-2,4,-1,-5]=>[3,2,4,1,5]=>0001
[-3,-2,-4,1,5]=>[3,2,4,1,5]=>0001
[-3,-2,-4,1,-5]=>[3,2,4,1,5]=>0001
[-3,-2,-4,-1,5]=>[3,2,4,1,5]=>0001
[-3,-2,-4,-1,-5]=>[3,2,4,1,5]=>0001
[3,2,4,5,1]=>[3,2,4,5,1]=>0000
[3,2,4,5,-1]=>[3,2,4,5,1]=>0000
[3,2,4,-5,1]=>[3,2,4,5,1]=>0000
[3,2,4,-5,-1]=>[3,2,4,5,1]=>0000
[3,2,-4,5,1]=>[3,2,4,5,1]=>0000
[3,2,-4,5,-1]=>[3,2,4,5,1]=>0000
[3,2,-4,-5,1]=>[3,2,4,5,1]=>0000
[3,2,-4,-5,-1]=>[3,2,4,5,1]=>0000
[3,-2,4,5,1]=>[3,2,4,5,1]=>0000
[3,-2,4,5,-1]=>[3,2,4,5,1]=>0000
[3,-2,4,-5,1]=>[3,2,4,5,1]=>0000
[3,-2,4,-5,-1]=>[3,2,4,5,1]=>0000
[3,-2,-4,5,1]=>[3,2,4,5,1]=>0000
[3,-2,-4,5,-1]=>[3,2,4,5,1]=>0000
[3,-2,-4,-5,1]=>[3,2,4,5,1]=>0000
[3,-2,-4,-5,-1]=>[3,2,4,5,1]=>0000
[-3,2,4,5,1]=>[3,2,4,5,1]=>0000
[-3,2,4,5,-1]=>[3,2,4,5,1]=>0000
[-3,2,4,-5,1]=>[3,2,4,5,1]=>0000
[-3,2,4,-5,-1]=>[3,2,4,5,1]=>0000
[-3,2,-4,5,1]=>[3,2,4,5,1]=>0000
[-3,2,-4,5,-1]=>[3,2,4,5,1]=>0000
[-3,2,-4,-5,1]=>[3,2,4,5,1]=>0000
[-3,2,-4,-5,-1]=>[3,2,4,5,1]=>0000
[-3,-2,4,5,1]=>[3,2,4,5,1]=>0000
[-3,-2,4,5,-1]=>[3,2,4,5,1]=>0000
[-3,-2,4,-5,1]=>[3,2,4,5,1]=>0000
[-3,-2,4,-5,-1]=>[3,2,4,5,1]=>0000
[-3,-2,-4,5,1]=>[3,2,4,5,1]=>0000
[-3,-2,-4,5,-1]=>[3,2,4,5,1]=>0000
[-3,-2,-4,-5,1]=>[3,2,4,5,1]=>0000
[-3,-2,-4,-5,-1]=>[3,2,4,5,1]=>0000
[3,2,5,1,4]=>[3,2,5,1,4]=>0000
[3,2,5,1,-4]=>[3,2,5,1,4]=>0000
[3,2,5,-1,4]=>[3,2,5,1,4]=>0000
[3,2,5,-1,-4]=>[3,2,5,1,4]=>0000
[3,2,-5,1,4]=>[3,2,5,1,4]=>0000
[3,2,-5,1,-4]=>[3,2,5,1,4]=>0000
[3,2,-5,-1,4]=>[3,2,5,1,4]=>0000
[3,2,-5,-1,-4]=>[3,2,5,1,4]=>0000
[3,-2,5,1,4]=>[3,2,5,1,4]=>0000
[3,-2,5,1,-4]=>[3,2,5,1,4]=>0000
[3,-2,5,-1,4]=>[3,2,5,1,4]=>0000
[3,-2,5,-1,-4]=>[3,2,5,1,4]=>0000
[3,-2,-5,1,4]=>[3,2,5,1,4]=>0000
[3,-2,-5,1,-4]=>[3,2,5,1,4]=>0000
[3,-2,-5,-1,4]=>[3,2,5,1,4]=>0000
[3,-2,-5,-1,-4]=>[3,2,5,1,4]=>0000
[-3,2,5,1,4]=>[3,2,5,1,4]=>0000
[-3,2,5,1,-4]=>[3,2,5,1,4]=>0000
[-3,2,5,-1,4]=>[3,2,5,1,4]=>0000
[-3,2,5,-1,-4]=>[3,2,5,1,4]=>0000
[-3,2,-5,1,4]=>[3,2,5,1,4]=>0000
[-3,2,-5,1,-4]=>[3,2,5,1,4]=>0000
[-3,2,-5,-1,4]=>[3,2,5,1,4]=>0000
[-3,2,-5,-1,-4]=>[3,2,5,1,4]=>0000
[-3,-2,5,1,4]=>[3,2,5,1,4]=>0000
[-3,-2,5,1,-4]=>[3,2,5,1,4]=>0000
[-3,-2,5,-1,4]=>[3,2,5,1,4]=>0000
[-3,-2,5,-1,-4]=>[3,2,5,1,4]=>0000
[-3,-2,-5,1,4]=>[3,2,5,1,4]=>0000
[-3,-2,-5,1,-4]=>[3,2,5,1,4]=>0000
[-3,-2,-5,-1,4]=>[3,2,5,1,4]=>0000
[-3,-2,-5,-1,-4]=>[3,2,5,1,4]=>0000
[3,2,5,4,1]=>[3,2,5,4,1]=>0000
[3,2,5,4,-1]=>[3,2,5,4,1]=>0000
[3,2,5,-4,1]=>[3,2,5,4,1]=>0000
[3,2,5,-4,-1]=>[3,2,5,4,1]=>0000
[3,2,-5,4,1]=>[3,2,5,4,1]=>0000
[3,2,-5,4,-1]=>[3,2,5,4,1]=>0000
[3,2,-5,-4,1]=>[3,2,5,4,1]=>0000
[3,2,-5,-4,-1]=>[3,2,5,4,1]=>0000
[3,-2,5,4,1]=>[3,2,5,4,1]=>0000
[3,-2,5,4,-1]=>[3,2,5,4,1]=>0000
[3,-2,5,-4,1]=>[3,2,5,4,1]=>0000
[3,-2,5,-4,-1]=>[3,2,5,4,1]=>0000
[3,-2,-5,4,1]=>[3,2,5,4,1]=>0000
[3,-2,-5,4,-1]=>[3,2,5,4,1]=>0000
[3,-2,-5,-4,1]=>[3,2,5,4,1]=>0000
[3,-2,-5,-4,-1]=>[3,2,5,4,1]=>0000
[-3,2,5,4,1]=>[3,2,5,4,1]=>0000
[-3,2,5,4,-1]=>[3,2,5,4,1]=>0000
[-3,2,5,-4,1]=>[3,2,5,4,1]=>0000
[-3,2,5,-4,-1]=>[3,2,5,4,1]=>0000
[-3,2,-5,4,1]=>[3,2,5,4,1]=>0000
[-3,2,-5,4,-1]=>[3,2,5,4,1]=>0000
[-3,2,-5,-4,1]=>[3,2,5,4,1]=>0000
[-3,2,-5,-4,-1]=>[3,2,5,4,1]=>0000
[-3,-2,5,4,1]=>[3,2,5,4,1]=>0000
[-3,-2,5,4,-1]=>[3,2,5,4,1]=>0000
[-3,-2,5,-4,1]=>[3,2,5,4,1]=>0000
[-3,-2,5,-4,-1]=>[3,2,5,4,1]=>0000
[-3,-2,-5,4,1]=>[3,2,5,4,1]=>0000
[-3,-2,-5,4,-1]=>[3,2,5,4,1]=>0000
[-3,-2,-5,-4,1]=>[3,2,5,4,1]=>0000
[-3,-2,-5,-4,-1]=>[3,2,5,4,1]=>0000
[3,4,1,2,5]=>[3,4,1,2,5]=>0001
[3,4,1,2,-5]=>[3,4,1,2,5]=>0001
[3,4,1,-2,5]=>[3,4,1,2,5]=>0001
[3,4,1,-2,-5]=>[3,4,1,2,5]=>0001
[3,4,-1,2,5]=>[3,4,1,2,5]=>0001
[3,4,-1,2,-5]=>[3,4,1,2,5]=>0001
[3,4,-1,-2,5]=>[3,4,1,2,5]=>0001
[3,4,-1,-2,-5]=>[3,4,1,2,5]=>0001
[3,-4,1,2,5]=>[3,4,1,2,5]=>0001
[3,-4,1,2,-5]=>[3,4,1,2,5]=>0001
[3,-4,1,-2,5]=>[3,4,1,2,5]=>0001
[3,-4,1,-2,-5]=>[3,4,1,2,5]=>0001
[3,-4,-1,2,5]=>[3,4,1,2,5]=>0001
[3,-4,-1,2,-5]=>[3,4,1,2,5]=>0001
[3,-4,-1,-2,5]=>[3,4,1,2,5]=>0001
[3,-4,-1,-2,-5]=>[3,4,1,2,5]=>0001
[-3,4,1,2,5]=>[3,4,1,2,5]=>0001
[-3,4,1,2,-5]=>[3,4,1,2,5]=>0001
[-3,4,1,-2,5]=>[3,4,1,2,5]=>0001
[-3,4,1,-2,-5]=>[3,4,1,2,5]=>0001
[-3,4,-1,2,5]=>[3,4,1,2,5]=>0001
[-3,4,-1,2,-5]=>[3,4,1,2,5]=>0001
[-3,4,-1,-2,5]=>[3,4,1,2,5]=>0001
[-3,4,-1,-2,-5]=>[3,4,1,2,5]=>0001
[-3,-4,1,2,5]=>[3,4,1,2,5]=>0001
[-3,-4,1,2,-5]=>[3,4,1,2,5]=>0001
[-3,-4,1,-2,5]=>[3,4,1,2,5]=>0001
[-3,-4,1,-2,-5]=>[3,4,1,2,5]=>0001
[-3,-4,-1,2,5]=>[3,4,1,2,5]=>0001
[-3,-4,-1,2,-5]=>[3,4,1,2,5]=>0001
[-3,-4,-1,-2,5]=>[3,4,1,2,5]=>0001
[-3,-4,-1,-2,-5]=>[3,4,1,2,5]=>0001
[3,4,1,5,2]=>[3,4,1,5,2]=>0000
[3,4,1,5,-2]=>[3,4,1,5,2]=>0000
[3,4,1,-5,2]=>[3,4,1,5,2]=>0000
[3,4,1,-5,-2]=>[3,4,1,5,2]=>0000
[3,4,-1,5,2]=>[3,4,1,5,2]=>0000
[3,4,-1,5,-2]=>[3,4,1,5,2]=>0000
[3,4,-1,-5,2]=>[3,4,1,5,2]=>0000
[3,4,-1,-5,-2]=>[3,4,1,5,2]=>0000
[3,-4,1,5,2]=>[3,4,1,5,2]=>0000
[3,-4,1,5,-2]=>[3,4,1,5,2]=>0000
[3,-4,1,-5,2]=>[3,4,1,5,2]=>0000
[3,-4,1,-5,-2]=>[3,4,1,5,2]=>0000
[3,-4,-1,5,2]=>[3,4,1,5,2]=>0000
[3,-4,-1,5,-2]=>[3,4,1,5,2]=>0000
[3,-4,-1,-5,2]=>[3,4,1,5,2]=>0000
[3,-4,-1,-5,-2]=>[3,4,1,5,2]=>0000
[-3,4,1,5,2]=>[3,4,1,5,2]=>0000
[-3,4,1,5,-2]=>[3,4,1,5,2]=>0000
[-3,4,1,-5,2]=>[3,4,1,5,2]=>0000
[-3,4,1,-5,-2]=>[3,4,1,5,2]=>0000
[-3,4,-1,5,2]=>[3,4,1,5,2]=>0000
[-3,4,-1,5,-2]=>[3,4,1,5,2]=>0000
[-3,4,-1,-5,2]=>[3,4,1,5,2]=>0000
[-3,4,-1,-5,-2]=>[3,4,1,5,2]=>0000
[-3,-4,1,5,2]=>[3,4,1,5,2]=>0000
[-3,-4,1,5,-2]=>[3,4,1,5,2]=>0000
[-3,-4,1,-5,2]=>[3,4,1,5,2]=>0000
[-3,-4,1,-5,-2]=>[3,4,1,5,2]=>0000
[-3,-4,-1,5,2]=>[3,4,1,5,2]=>0000
[-3,-4,-1,5,-2]=>[3,4,1,5,2]=>0000
[-3,-4,-1,-5,2]=>[3,4,1,5,2]=>0000
[-3,-4,-1,-5,-2]=>[3,4,1,5,2]=>0000
[3,4,2,1,5]=>[3,4,2,1,5]=>0001
[3,4,2,1,-5]=>[3,4,2,1,5]=>0001
[3,4,2,-1,5]=>[3,4,2,1,5]=>0001
[3,4,2,-1,-5]=>[3,4,2,1,5]=>0001
[3,4,-2,1,5]=>[3,4,2,1,5]=>0001
[3,4,-2,1,-5]=>[3,4,2,1,5]=>0001
[3,4,-2,-1,5]=>[3,4,2,1,5]=>0001
[3,4,-2,-1,-5]=>[3,4,2,1,5]=>0001
[3,-4,2,1,5]=>[3,4,2,1,5]=>0001
[3,-4,2,1,-5]=>[3,4,2,1,5]=>0001
[3,-4,2,-1,5]=>[3,4,2,1,5]=>0001
[3,-4,2,-1,-5]=>[3,4,2,1,5]=>0001
[3,-4,-2,1,5]=>[3,4,2,1,5]=>0001
[3,-4,-2,1,-5]=>[3,4,2,1,5]=>0001
[3,-4,-2,-1,5]=>[3,4,2,1,5]=>0001
[3,-4,-2,-1,-5]=>[3,4,2,1,5]=>0001
[-3,4,2,1,5]=>[3,4,2,1,5]=>0001
[-3,4,2,1,-5]=>[3,4,2,1,5]=>0001
[-3,4,2,-1,5]=>[3,4,2,1,5]=>0001
[-3,4,2,-1,-5]=>[3,4,2,1,5]=>0001
[-3,4,-2,1,5]=>[3,4,2,1,5]=>0001
[-3,4,-2,1,-5]=>[3,4,2,1,5]=>0001
[-3,4,-2,-1,5]=>[3,4,2,1,5]=>0001
[-3,4,-2,-1,-5]=>[3,4,2,1,5]=>0001
[-3,-4,2,1,5]=>[3,4,2,1,5]=>0001
[-3,-4,2,1,-5]=>[3,4,2,1,5]=>0001
[-3,-4,2,-1,5]=>[3,4,2,1,5]=>0001
[-3,-4,2,-1,-5]=>[3,4,2,1,5]=>0001
[-3,-4,-2,1,5]=>[3,4,2,1,5]=>0001
[-3,-4,-2,1,-5]=>[3,4,2,1,5]=>0001
[-3,-4,-2,-1,5]=>[3,4,2,1,5]=>0001
[-3,-4,-2,-1,-5]=>[3,4,2,1,5]=>0001
[3,4,2,5,1]=>[3,4,2,5,1]=>0000
[3,4,2,5,-1]=>[3,4,2,5,1]=>0000
[3,4,2,-5,1]=>[3,4,2,5,1]=>0000
[3,4,2,-5,-1]=>[3,4,2,5,1]=>0000
[3,4,-2,5,1]=>[3,4,2,5,1]=>0000
[3,4,-2,5,-1]=>[3,4,2,5,1]=>0000
[3,4,-2,-5,1]=>[3,4,2,5,1]=>0000
[3,4,-2,-5,-1]=>[3,4,2,5,1]=>0000
[3,-4,2,5,1]=>[3,4,2,5,1]=>0000
[3,-4,2,5,-1]=>[3,4,2,5,1]=>0000
[3,-4,2,-5,1]=>[3,4,2,5,1]=>0000
[3,-4,2,-5,-1]=>[3,4,2,5,1]=>0000
[3,-4,-2,5,1]=>[3,4,2,5,1]=>0000
[3,-4,-2,5,-1]=>[3,4,2,5,1]=>0000
[3,-4,-2,-5,1]=>[3,4,2,5,1]=>0000
[3,-4,-2,-5,-1]=>[3,4,2,5,1]=>0000
[-3,4,2,5,1]=>[3,4,2,5,1]=>0000
[-3,4,2,5,-1]=>[3,4,2,5,1]=>0000
[-3,4,2,-5,1]=>[3,4,2,5,1]=>0000
[-3,4,2,-5,-1]=>[3,4,2,5,1]=>0000
[-3,4,-2,5,1]=>[3,4,2,5,1]=>0000
[-3,4,-2,5,-1]=>[3,4,2,5,1]=>0000
[-3,4,-2,-5,1]=>[3,4,2,5,1]=>0000
[-3,4,-2,-5,-1]=>[3,4,2,5,1]=>0000
[-3,-4,2,5,1]=>[3,4,2,5,1]=>0000
[-3,-4,2,5,-1]=>[3,4,2,5,1]=>0000
[-3,-4,2,-5,1]=>[3,4,2,5,1]=>0000
[-3,-4,2,-5,-1]=>[3,4,2,5,1]=>0000
[-3,-4,-2,5,1]=>[3,4,2,5,1]=>0000
[-3,-4,-2,5,-1]=>[3,4,2,5,1]=>0000
[-3,-4,-2,-5,1]=>[3,4,2,5,1]=>0000
[-3,-4,-2,-5,-1]=>[3,4,2,5,1]=>0000
[3,4,5,1,2]=>[3,4,5,1,2]=>0000
[3,4,5,1,-2]=>[3,4,5,1,2]=>0000
[3,4,5,-1,2]=>[3,4,5,1,2]=>0000
[3,4,5,-1,-2]=>[3,4,5,1,2]=>0000
[3,4,-5,1,2]=>[3,4,5,1,2]=>0000
[3,4,-5,1,-2]=>[3,4,5,1,2]=>0000
[3,4,-5,-1,2]=>[3,4,5,1,2]=>0000
[3,4,-5,-1,-2]=>[3,4,5,1,2]=>0000
[3,-4,5,1,2]=>[3,4,5,1,2]=>0000
[3,-4,5,1,-2]=>[3,4,5,1,2]=>0000
[3,-4,5,-1,2]=>[3,4,5,1,2]=>0000
[3,-4,5,-1,-2]=>[3,4,5,1,2]=>0000
[3,-4,-5,1,2]=>[3,4,5,1,2]=>0000
[3,-4,-5,1,-2]=>[3,4,5,1,2]=>0000
[3,-4,-5,-1,2]=>[3,4,5,1,2]=>0000
[3,-4,-5,-1,-2]=>[3,4,5,1,2]=>0000
[-3,4,5,1,2]=>[3,4,5,1,2]=>0000
[-3,4,5,1,-2]=>[3,4,5,1,2]=>0000
[-3,4,5,-1,2]=>[3,4,5,1,2]=>0000
[-3,4,5,-1,-2]=>[3,4,5,1,2]=>0000
[-3,4,-5,1,2]=>[3,4,5,1,2]=>0000
[-3,4,-5,1,-2]=>[3,4,5,1,2]=>0000
[-3,4,-5,-1,2]=>[3,4,5,1,2]=>0000
[-3,4,-5,-1,-2]=>[3,4,5,1,2]=>0000
[-3,-4,5,1,2]=>[3,4,5,1,2]=>0000
[-3,-4,5,1,-2]=>[3,4,5,1,2]=>0000
[-3,-4,5,-1,2]=>[3,4,5,1,2]=>0000
[-3,-4,5,-1,-2]=>[3,4,5,1,2]=>0000
[-3,-4,-5,1,2]=>[3,4,5,1,2]=>0000
[-3,-4,-5,1,-2]=>[3,4,5,1,2]=>0000
[-3,-4,-5,-1,2]=>[3,4,5,1,2]=>0000
[-3,-4,-5,-1,-2]=>[3,4,5,1,2]=>0000
[3,4,5,2,1]=>[3,4,5,2,1]=>0000
[3,4,5,2,-1]=>[3,4,5,2,1]=>0000
[3,4,5,-2,1]=>[3,4,5,2,1]=>0000
[3,4,5,-2,-1]=>[3,4,5,2,1]=>0000
[3,4,-5,2,1]=>[3,4,5,2,1]=>0000
[3,4,-5,2,-1]=>[3,4,5,2,1]=>0000
[3,4,-5,-2,1]=>[3,4,5,2,1]=>0000
[3,4,-5,-2,-1]=>[3,4,5,2,1]=>0000
[3,-4,5,2,1]=>[3,4,5,2,1]=>0000
[3,-4,5,2,-1]=>[3,4,5,2,1]=>0000
[3,-4,5,-2,1]=>[3,4,5,2,1]=>0000
[3,-4,5,-2,-1]=>[3,4,5,2,1]=>0000
[3,-4,-5,2,1]=>[3,4,5,2,1]=>0000
[3,-4,-5,2,-1]=>[3,4,5,2,1]=>0000
[3,-4,-5,-2,1]=>[3,4,5,2,1]=>0000
[3,-4,-5,-2,-1]=>[3,4,5,2,1]=>0000
[-3,4,5,2,1]=>[3,4,5,2,1]=>0000
[-3,4,5,2,-1]=>[3,4,5,2,1]=>0000
[-3,4,5,-2,1]=>[3,4,5,2,1]=>0000
[-3,4,5,-2,-1]=>[3,4,5,2,1]=>0000
[-3,4,-5,2,1]=>[3,4,5,2,1]=>0000
[-3,4,-5,2,-1]=>[3,4,5,2,1]=>0000
[-3,4,-5,-2,1]=>[3,4,5,2,1]=>0000
[-3,4,-5,-2,-1]=>[3,4,5,2,1]=>0000
[-3,-4,5,2,1]=>[3,4,5,2,1]=>0000
[-3,-4,5,2,-1]=>[3,4,5,2,1]=>0000
[-3,-4,5,-2,1]=>[3,4,5,2,1]=>0000
[-3,-4,5,-2,-1]=>[3,4,5,2,1]=>0000
[-3,-4,-5,2,1]=>[3,4,5,2,1]=>0000
[-3,-4,-5,2,-1]=>[3,4,5,2,1]=>0000
[-3,-4,-5,-2,1]=>[3,4,5,2,1]=>0000
[-3,-4,-5,-2,-1]=>[3,4,5,2,1]=>0000
[3,5,1,2,4]=>[3,5,1,2,4]=>0000
[3,5,1,2,-4]=>[3,5,1,2,4]=>0000
[3,5,1,-2,4]=>[3,5,1,2,4]=>0000
[3,5,1,-2,-4]=>[3,5,1,2,4]=>0000
[3,5,-1,2,4]=>[3,5,1,2,4]=>0000
[3,5,-1,2,-4]=>[3,5,1,2,4]=>0000
[3,5,-1,-2,4]=>[3,5,1,2,4]=>0000
[3,5,-1,-2,-4]=>[3,5,1,2,4]=>0000
[3,-5,1,2,4]=>[3,5,1,2,4]=>0000
[3,-5,1,2,-4]=>[3,5,1,2,4]=>0000
[3,-5,1,-2,4]=>[3,5,1,2,4]=>0000
[3,-5,1,-2,-4]=>[3,5,1,2,4]=>0000
[3,-5,-1,2,4]=>[3,5,1,2,4]=>0000
[3,-5,-1,2,-4]=>[3,5,1,2,4]=>0000
[3,-5,-1,-2,4]=>[3,5,1,2,4]=>0000
[3,-5,-1,-2,-4]=>[3,5,1,2,4]=>0000
[-3,5,1,2,4]=>[3,5,1,2,4]=>0000
[-3,5,1,2,-4]=>[3,5,1,2,4]=>0000
[-3,5,1,-2,4]=>[3,5,1,2,4]=>0000
[-3,5,1,-2,-4]=>[3,5,1,2,4]=>0000
[-3,5,-1,2,4]=>[3,5,1,2,4]=>0000
[-3,5,-1,2,-4]=>[3,5,1,2,4]=>0000
[-3,5,-1,-2,4]=>[3,5,1,2,4]=>0000
[-3,5,-1,-2,-4]=>[3,5,1,2,4]=>0000
[-3,-5,1,2,4]=>[3,5,1,2,4]=>0000
[-3,-5,1,2,-4]=>[3,5,1,2,4]=>0000
[-3,-5,1,-2,4]=>[3,5,1,2,4]=>0000
[-3,-5,1,-2,-4]=>[3,5,1,2,4]=>0000
[-3,-5,-1,2,4]=>[3,5,1,2,4]=>0000
[-3,-5,-1,2,-4]=>[3,5,1,2,4]=>0000
[-3,-5,-1,-2,4]=>[3,5,1,2,4]=>0000
[-3,-5,-1,-2,-4]=>[3,5,1,2,4]=>0000
[3,5,1,4,2]=>[3,5,1,4,2]=>0000
[3,5,1,4,-2]=>[3,5,1,4,2]=>0000
[3,5,1,-4,2]=>[3,5,1,4,2]=>0000
[3,5,1,-4,-2]=>[3,5,1,4,2]=>0000
[3,5,-1,4,2]=>[3,5,1,4,2]=>0000
[3,5,-1,4,-2]=>[3,5,1,4,2]=>0000
[3,5,-1,-4,2]=>[3,5,1,4,2]=>0000
[3,5,-1,-4,-2]=>[3,5,1,4,2]=>0000
[3,-5,1,4,2]=>[3,5,1,4,2]=>0000
[3,-5,1,4,-2]=>[3,5,1,4,2]=>0000
[3,-5,1,-4,2]=>[3,5,1,4,2]=>0000
[3,-5,1,-4,-2]=>[3,5,1,4,2]=>0000
[3,-5,-1,4,2]=>[3,5,1,4,2]=>0000
[3,-5,-1,4,-2]=>[3,5,1,4,2]=>0000
[3,-5,-1,-4,2]=>[3,5,1,4,2]=>0000
[3,-5,-1,-4,-2]=>[3,5,1,4,2]=>0000
[-3,5,1,4,2]=>[3,5,1,4,2]=>0000
[-3,5,1,4,-2]=>[3,5,1,4,2]=>0000
[-3,5,1,-4,2]=>[3,5,1,4,2]=>0000
[-3,5,1,-4,-2]=>[3,5,1,4,2]=>0000
[-3,5,-1,4,2]=>[3,5,1,4,2]=>0000
[-3,5,-1,4,-2]=>[3,5,1,4,2]=>0000
[-3,5,-1,-4,2]=>[3,5,1,4,2]=>0000
[-3,5,-1,-4,-2]=>[3,5,1,4,2]=>0000
[-3,-5,1,4,2]=>[3,5,1,4,2]=>0000
[-3,-5,1,4,-2]=>[3,5,1,4,2]=>0000
[-3,-5,1,-4,2]=>[3,5,1,4,2]=>0000
[-3,-5,1,-4,-2]=>[3,5,1,4,2]=>0000
[-3,-5,-1,4,2]=>[3,5,1,4,2]=>0000
[-3,-5,-1,4,-2]=>[3,5,1,4,2]=>0000
[-3,-5,-1,-4,2]=>[3,5,1,4,2]=>0000
[-3,-5,-1,-4,-2]=>[3,5,1,4,2]=>0000
[3,5,2,1,4]=>[3,5,2,1,4]=>0000
[3,5,2,1,-4]=>[3,5,2,1,4]=>0000
[3,5,2,-1,4]=>[3,5,2,1,4]=>0000
[3,5,2,-1,-4]=>[3,5,2,1,4]=>0000
[3,5,-2,1,4]=>[3,5,2,1,4]=>0000
[3,5,-2,1,-4]=>[3,5,2,1,4]=>0000
[3,5,-2,-1,4]=>[3,5,2,1,4]=>0000
[3,5,-2,-1,-4]=>[3,5,2,1,4]=>0000
[3,-5,2,1,4]=>[3,5,2,1,4]=>0000
[3,-5,2,1,-4]=>[3,5,2,1,4]=>0000
[3,-5,2,-1,4]=>[3,5,2,1,4]=>0000
[3,-5,2,-1,-4]=>[3,5,2,1,4]=>0000
[3,-5,-2,1,4]=>[3,5,2,1,4]=>0000
[3,-5,-2,1,-4]=>[3,5,2,1,4]=>0000
[3,-5,-2,-1,4]=>[3,5,2,1,4]=>0000
[3,-5,-2,-1,-4]=>[3,5,2,1,4]=>0000
[-3,5,2,1,4]=>[3,5,2,1,4]=>0000
[-3,5,2,1,-4]=>[3,5,2,1,4]=>0000
[-3,5,2,-1,4]=>[3,5,2,1,4]=>0000
[-3,5,2,-1,-4]=>[3,5,2,1,4]=>0000
[-3,5,-2,1,4]=>[3,5,2,1,4]=>0000
[-3,5,-2,1,-4]=>[3,5,2,1,4]=>0000
[-3,5,-2,-1,4]=>[3,5,2,1,4]=>0000
[-3,5,-2,-1,-4]=>[3,5,2,1,4]=>0000
[-3,-5,2,1,4]=>[3,5,2,1,4]=>0000
[-3,-5,2,1,-4]=>[3,5,2,1,4]=>0000
[-3,-5,2,-1,4]=>[3,5,2,1,4]=>0000
[-3,-5,2,-1,-4]=>[3,5,2,1,4]=>0000
[-3,-5,-2,1,4]=>[3,5,2,1,4]=>0000
[-3,-5,-2,1,-4]=>[3,5,2,1,4]=>0000
[-3,-5,-2,-1,4]=>[3,5,2,1,4]=>0000
[-3,-5,-2,-1,-4]=>[3,5,2,1,4]=>0000
[3,5,2,4,1]=>[3,5,2,4,1]=>0000
[3,5,2,4,-1]=>[3,5,2,4,1]=>0000
[3,5,2,-4,1]=>[3,5,2,4,1]=>0000
[3,5,2,-4,-1]=>[3,5,2,4,1]=>0000
[3,5,-2,4,1]=>[3,5,2,4,1]=>0000
[3,5,-2,4,-1]=>[3,5,2,4,1]=>0000
[3,5,-2,-4,1]=>[3,5,2,4,1]=>0000
[3,5,-2,-4,-1]=>[3,5,2,4,1]=>0000
[3,-5,2,4,1]=>[3,5,2,4,1]=>0000
[3,-5,2,4,-1]=>[3,5,2,4,1]=>0000
[3,-5,2,-4,1]=>[3,5,2,4,1]=>0000
[3,-5,2,-4,-1]=>[3,5,2,4,1]=>0000
[3,-5,-2,4,1]=>[3,5,2,4,1]=>0000
[3,-5,-2,4,-1]=>[3,5,2,4,1]=>0000
[3,-5,-2,-4,1]=>[3,5,2,4,1]=>0000
[3,-5,-2,-4,-1]=>[3,5,2,4,1]=>0000
[-3,5,2,4,1]=>[3,5,2,4,1]=>0000
[-3,5,2,4,-1]=>[3,5,2,4,1]=>0000
[-3,5,2,-4,1]=>[3,5,2,4,1]=>0000
[-3,5,2,-4,-1]=>[3,5,2,4,1]=>0000
[-3,5,-2,4,1]=>[3,5,2,4,1]=>0000
[-3,5,-2,4,-1]=>[3,5,2,4,1]=>0000
[-3,5,-2,-4,1]=>[3,5,2,4,1]=>0000
[-3,5,-2,-4,-1]=>[3,5,2,4,1]=>0000
[-3,-5,2,4,1]=>[3,5,2,4,1]=>0000
[-3,-5,2,4,-1]=>[3,5,2,4,1]=>0000
[-3,-5,2,-4,1]=>[3,5,2,4,1]=>0000
[-3,-5,2,-4,-1]=>[3,5,2,4,1]=>0000
[-3,-5,-2,4,1]=>[3,5,2,4,1]=>0000
[-3,-5,-2,4,-1]=>[3,5,2,4,1]=>0000
[-3,-5,-2,-4,1]=>[3,5,2,4,1]=>0000
[-3,-5,-2,-4,-1]=>[3,5,2,4,1]=>0000
[3,5,4,1,2]=>[3,5,4,1,2]=>0000
[3,5,4,1,-2]=>[3,5,4,1,2]=>0000
[3,5,4,-1,2]=>[3,5,4,1,2]=>0000
[3,5,4,-1,-2]=>[3,5,4,1,2]=>0000
[3,5,-4,1,2]=>[3,5,4,1,2]=>0000
[3,5,-4,1,-2]=>[3,5,4,1,2]=>0000
[3,5,-4,-1,2]=>[3,5,4,1,2]=>0000
[3,5,-4,-1,-2]=>[3,5,4,1,2]=>0000
[3,-5,4,1,2]=>[3,5,4,1,2]=>0000
[3,-5,4,1,-2]=>[3,5,4,1,2]=>0000
[3,-5,4,-1,2]=>[3,5,4,1,2]=>0000
[3,-5,4,-1,-2]=>[3,5,4,1,2]=>0000
[3,-5,-4,1,2]=>[3,5,4,1,2]=>0000
[3,-5,-4,1,-2]=>[3,5,4,1,2]=>0000
[3,-5,-4,-1,2]=>[3,5,4,1,2]=>0000
[3,-5,-4,-1,-2]=>[3,5,4,1,2]=>0000
[-3,5,4,1,2]=>[3,5,4,1,2]=>0000
[-3,5,4,1,-2]=>[3,5,4,1,2]=>0000
[-3,5,4,-1,2]=>[3,5,4,1,2]=>0000
[-3,5,4,-1,-2]=>[3,5,4,1,2]=>0000
[-3,5,-4,1,2]=>[3,5,4,1,2]=>0000
[-3,5,-4,1,-2]=>[3,5,4,1,2]=>0000
[-3,5,-4,-1,2]=>[3,5,4,1,2]=>0000
[-3,5,-4,-1,-2]=>[3,5,4,1,2]=>0000
[-3,-5,4,1,2]=>[3,5,4,1,2]=>0000
[-3,-5,4,1,-2]=>[3,5,4,1,2]=>0000
[-3,-5,4,-1,2]=>[3,5,4,1,2]=>0000
[-3,-5,4,-1,-2]=>[3,5,4,1,2]=>0000
[-3,-5,-4,1,2]=>[3,5,4,1,2]=>0000
[-3,-5,-4,1,-2]=>[3,5,4,1,2]=>0000
[-3,-5,-4,-1,2]=>[3,5,4,1,2]=>0000
[-3,-5,-4,-1,-2]=>[3,5,4,1,2]=>0000
[3,5,4,2,1]=>[3,5,4,2,1]=>0000
[3,5,4,2,-1]=>[3,5,4,2,1]=>0000
[3,5,4,-2,1]=>[3,5,4,2,1]=>0000
[3,5,4,-2,-1]=>[3,5,4,2,1]=>0000
[3,5,-4,2,1]=>[3,5,4,2,1]=>0000
[3,5,-4,2,-1]=>[3,5,4,2,1]=>0000
[3,5,-4,-2,1]=>[3,5,4,2,1]=>0000
[3,5,-4,-2,-1]=>[3,5,4,2,1]=>0000
[3,-5,4,2,1]=>[3,5,4,2,1]=>0000
[3,-5,4,2,-1]=>[3,5,4,2,1]=>0000
[3,-5,4,-2,1]=>[3,5,4,2,1]=>0000
[3,-5,4,-2,-1]=>[3,5,4,2,1]=>0000
[3,-5,-4,2,1]=>[3,5,4,2,1]=>0000
[3,-5,-4,2,-1]=>[3,5,4,2,1]=>0000
[3,-5,-4,-2,1]=>[3,5,4,2,1]=>0000
[3,-5,-4,-2,-1]=>[3,5,4,2,1]=>0000
[-3,5,4,2,1]=>[3,5,4,2,1]=>0000
[-3,5,4,2,-1]=>[3,5,4,2,1]=>0000
[-3,5,4,-2,1]=>[3,5,4,2,1]=>0000
[-3,5,4,-2,-1]=>[3,5,4,2,1]=>0000
[-3,5,-4,2,1]=>[3,5,4,2,1]=>0000
[-3,5,-4,2,-1]=>[3,5,4,2,1]=>0000
[-3,5,-4,-2,1]=>[3,5,4,2,1]=>0000
[-3,5,-4,-2,-1]=>[3,5,4,2,1]=>0000
[-3,-5,4,2,1]=>[3,5,4,2,1]=>0000
[-3,-5,4,2,-1]=>[3,5,4,2,1]=>0000
[-3,-5,4,-2,1]=>[3,5,4,2,1]=>0000
[-3,-5,4,-2,-1]=>[3,5,4,2,1]=>0000
[-3,-5,-4,2,1]=>[3,5,4,2,1]=>0000
[-3,-5,-4,2,-1]=>[3,5,4,2,1]=>0000
[-3,-5,-4,-2,1]=>[3,5,4,2,1]=>0000
[-3,-5,-4,-2,-1]=>[3,5,4,2,1]=>0000
[4,1,2,3,5]=>[4,1,2,3,5]=>0001
[4,1,2,3,-5]=>[4,1,2,3,5]=>0001
[4,1,2,-3,5]=>[4,1,2,3,5]=>0001
[4,1,2,-3,-5]=>[4,1,2,3,5]=>0001
[4,1,-2,3,5]=>[4,1,2,3,5]=>0001
[4,1,-2,3,-5]=>[4,1,2,3,5]=>0001
[4,1,-2,-3,5]=>[4,1,2,3,5]=>0001
[4,1,-2,-3,-5]=>[4,1,2,3,5]=>0001
[4,-1,2,3,5]=>[4,1,2,3,5]=>0001
[4,-1,2,3,-5]=>[4,1,2,3,5]=>0001
[4,-1,2,-3,5]=>[4,1,2,3,5]=>0001
[4,-1,2,-3,-5]=>[4,1,2,3,5]=>0001
[4,-1,-2,3,5]=>[4,1,2,3,5]=>0001
[4,-1,-2,3,-5]=>[4,1,2,3,5]=>0001
[4,-1,-2,-3,5]=>[4,1,2,3,5]=>0001
[4,-1,-2,-3,-5]=>[4,1,2,3,5]=>0001
[-4,1,2,3,5]=>[4,1,2,3,5]=>0001
[-4,1,2,3,-5]=>[4,1,2,3,5]=>0001
[-4,1,2,-3,5]=>[4,1,2,3,5]=>0001
[-4,1,2,-3,-5]=>[4,1,2,3,5]=>0001
[-4,1,-2,3,5]=>[4,1,2,3,5]=>0001
[-4,1,-2,3,-5]=>[4,1,2,3,5]=>0001
[-4,1,-2,-3,5]=>[4,1,2,3,5]=>0001
[-4,1,-2,-3,-5]=>[4,1,2,3,5]=>0001
[-4,-1,2,3,5]=>[4,1,2,3,5]=>0001
[-4,-1,2,3,-5]=>[4,1,2,3,5]=>0001
[-4,-1,2,-3,5]=>[4,1,2,3,5]=>0001
[-4,-1,2,-3,-5]=>[4,1,2,3,5]=>0001
[-4,-1,-2,3,5]=>[4,1,2,3,5]=>0001
[-4,-1,-2,3,-5]=>[4,1,2,3,5]=>0001
[-4,-1,-2,-3,5]=>[4,1,2,3,5]=>0001
[-4,-1,-2,-3,-5]=>[4,1,2,3,5]=>0001
[4,1,2,5,3]=>[4,1,2,5,3]=>0000
[4,1,2,5,-3]=>[4,1,2,5,3]=>0000
[4,1,2,-5,3]=>[4,1,2,5,3]=>0000
[4,1,2,-5,-3]=>[4,1,2,5,3]=>0000
[4,1,-2,5,3]=>[4,1,2,5,3]=>0000
[4,1,-2,5,-3]=>[4,1,2,5,3]=>0000
[4,1,-2,-5,3]=>[4,1,2,5,3]=>0000
[4,1,-2,-5,-3]=>[4,1,2,5,3]=>0000
[4,-1,2,5,3]=>[4,1,2,5,3]=>0000
[4,-1,2,5,-3]=>[4,1,2,5,3]=>0000
[4,-1,2,-5,3]=>[4,1,2,5,3]=>0000
[4,-1,2,-5,-3]=>[4,1,2,5,3]=>0000
[4,-1,-2,5,3]=>[4,1,2,5,3]=>0000
[4,-1,-2,5,-3]=>[4,1,2,5,3]=>0000
[4,-1,-2,-5,3]=>[4,1,2,5,3]=>0000
[4,-1,-2,-5,-3]=>[4,1,2,5,3]=>0000
[-4,1,2,5,3]=>[4,1,2,5,3]=>0000
[-4,1,2,5,-3]=>[4,1,2,5,3]=>0000
[-4,1,2,-5,3]=>[4,1,2,5,3]=>0000
[-4,1,2,-5,-3]=>[4,1,2,5,3]=>0000
[-4,1,-2,5,3]=>[4,1,2,5,3]=>0000
[-4,1,-2,5,-3]=>[4,1,2,5,3]=>0000
[-4,1,-2,-5,3]=>[4,1,2,5,3]=>0000
[-4,1,-2,-5,-3]=>[4,1,2,5,3]=>0000
[-4,-1,2,5,3]=>[4,1,2,5,3]=>0000
[-4,-1,2,5,-3]=>[4,1,2,5,3]=>0000
[-4,-1,2,-5,3]=>[4,1,2,5,3]=>0000
[-4,-1,2,-5,-3]=>[4,1,2,5,3]=>0000
[-4,-1,-2,5,3]=>[4,1,2,5,3]=>0000
[-4,-1,-2,5,-3]=>[4,1,2,5,3]=>0000
[-4,-1,-2,-5,3]=>[4,1,2,5,3]=>0000
[-4,-1,-2,-5,-3]=>[4,1,2,5,3]=>0000
[4,1,3,2,5]=>[4,1,3,2,5]=>0001
[4,1,3,2,-5]=>[4,1,3,2,5]=>0001
[4,1,3,-2,5]=>[4,1,3,2,5]=>0001
[4,1,3,-2,-5]=>[4,1,3,2,5]=>0001
[4,1,-3,2,5]=>[4,1,3,2,5]=>0001
[4,1,-3,2,-5]=>[4,1,3,2,5]=>0001
[4,1,-3,-2,5]=>[4,1,3,2,5]=>0001
[4,1,-3,-2,-5]=>[4,1,3,2,5]=>0001
[4,-1,3,2,5]=>[4,1,3,2,5]=>0001
[4,-1,3,2,-5]=>[4,1,3,2,5]=>0001
[4,-1,3,-2,5]=>[4,1,3,2,5]=>0001
[4,-1,3,-2,-5]=>[4,1,3,2,5]=>0001
[4,-1,-3,2,5]=>[4,1,3,2,5]=>0001
[4,-1,-3,2,-5]=>[4,1,3,2,5]=>0001
[4,-1,-3,-2,5]=>[4,1,3,2,5]=>0001
[4,-1,-3,-2,-5]=>[4,1,3,2,5]=>0001
[-4,1,3,2,5]=>[4,1,3,2,5]=>0001
[-4,1,3,2,-5]=>[4,1,3,2,5]=>0001
[-4,1,3,-2,5]=>[4,1,3,2,5]=>0001
[-4,1,3,-2,-5]=>[4,1,3,2,5]=>0001
[-4,1,-3,2,5]=>[4,1,3,2,5]=>0001
[-4,1,-3,2,-5]=>[4,1,3,2,5]=>0001
[-4,1,-3,-2,5]=>[4,1,3,2,5]=>0001
[-4,1,-3,-2,-5]=>[4,1,3,2,5]=>0001
[-4,-1,3,2,5]=>[4,1,3,2,5]=>0001
[-4,-1,3,2,-5]=>[4,1,3,2,5]=>0001
[-4,-1,3,-2,5]=>[4,1,3,2,5]=>0001
[-4,-1,3,-2,-5]=>[4,1,3,2,5]=>0001
[-4,-1,-3,2,5]=>[4,1,3,2,5]=>0001
[-4,-1,-3,2,-5]=>[4,1,3,2,5]=>0001
[-4,-1,-3,-2,5]=>[4,1,3,2,5]=>0001
[-4,-1,-3,-2,-5]=>[4,1,3,2,5]=>0001
[4,1,3,5,2]=>[4,1,3,5,2]=>0000
[4,1,3,5,-2]=>[4,1,3,5,2]=>0000
[4,1,3,-5,2]=>[4,1,3,5,2]=>0000
[4,1,3,-5,-2]=>[4,1,3,5,2]=>0000
[4,1,-3,5,2]=>[4,1,3,5,2]=>0000
[4,1,-3,5,-2]=>[4,1,3,5,2]=>0000
[4,1,-3,-5,2]=>[4,1,3,5,2]=>0000
[4,1,-3,-5,-2]=>[4,1,3,5,2]=>0000
[4,-1,3,5,2]=>[4,1,3,5,2]=>0000
[4,-1,3,5,-2]=>[4,1,3,5,2]=>0000
[4,-1,3,-5,2]=>[4,1,3,5,2]=>0000
[4,-1,3,-5,-2]=>[4,1,3,5,2]=>0000
[4,-1,-3,5,2]=>[4,1,3,5,2]=>0000
[4,-1,-3,5,-2]=>[4,1,3,5,2]=>0000
[4,-1,-3,-5,2]=>[4,1,3,5,2]=>0000
[4,-1,-3,-5,-2]=>[4,1,3,5,2]=>0000
[-4,1,3,5,2]=>[4,1,3,5,2]=>0000
[-4,1,3,5,-2]=>[4,1,3,5,2]=>0000
[-4,1,3,-5,2]=>[4,1,3,5,2]=>0000
[-4,1,3,-5,-2]=>[4,1,3,5,2]=>0000
[-4,1,-3,5,2]=>[4,1,3,5,2]=>0000
[-4,1,-3,5,-2]=>[4,1,3,5,2]=>0000
[-4,1,-3,-5,2]=>[4,1,3,5,2]=>0000
[-4,1,-3,-5,-2]=>[4,1,3,5,2]=>0000
[-4,-1,3,5,2]=>[4,1,3,5,2]=>0000
[-4,-1,3,5,-2]=>[4,1,3,5,2]=>0000
[-4,-1,3,-5,2]=>[4,1,3,5,2]=>0000
[-4,-1,3,-5,-2]=>[4,1,3,5,2]=>0000
[-4,-1,-3,5,2]=>[4,1,3,5,2]=>0000
[-4,-1,-3,5,-2]=>[4,1,3,5,2]=>0000
[-4,-1,-3,-5,2]=>[4,1,3,5,2]=>0000
[-4,-1,-3,-5,-2]=>[4,1,3,5,2]=>0000
[4,1,5,2,3]=>[4,1,5,2,3]=>0000
[4,1,5,2,-3]=>[4,1,5,2,3]=>0000
[4,1,5,-2,3]=>[4,1,5,2,3]=>0000
[4,1,5,-2,-3]=>[4,1,5,2,3]=>0000
[4,1,-5,2,3]=>[4,1,5,2,3]=>0000
[4,1,-5,2,-3]=>[4,1,5,2,3]=>0000
[4,1,-5,-2,3]=>[4,1,5,2,3]=>0000
[4,1,-5,-2,-3]=>[4,1,5,2,3]=>0000
[4,-1,5,2,3]=>[4,1,5,2,3]=>0000
[4,-1,5,2,-3]=>[4,1,5,2,3]=>0000
[4,-1,5,-2,3]=>[4,1,5,2,3]=>0000
[4,-1,5,-2,-3]=>[4,1,5,2,3]=>0000
[4,-1,-5,2,3]=>[4,1,5,2,3]=>0000
[4,-1,-5,2,-3]=>[4,1,5,2,3]=>0000
[4,-1,-5,-2,3]=>[4,1,5,2,3]=>0000
[4,-1,-5,-2,-3]=>[4,1,5,2,3]=>0000
[-4,1,5,2,3]=>[4,1,5,2,3]=>0000
[-4,1,5,2,-3]=>[4,1,5,2,3]=>0000
[-4,1,5,-2,3]=>[4,1,5,2,3]=>0000
[-4,1,5,-2,-3]=>[4,1,5,2,3]=>0000
[-4,1,-5,2,3]=>[4,1,5,2,3]=>0000
[-4,1,-5,2,-3]=>[4,1,5,2,3]=>0000
[-4,1,-5,-2,3]=>[4,1,5,2,3]=>0000
[-4,1,-5,-2,-3]=>[4,1,5,2,3]=>0000
[-4,-1,5,2,3]=>[4,1,5,2,3]=>0000
[-4,-1,5,2,-3]=>[4,1,5,2,3]=>0000
[-4,-1,5,-2,3]=>[4,1,5,2,3]=>0000
[-4,-1,5,-2,-3]=>[4,1,5,2,3]=>0000
[-4,-1,-5,2,3]=>[4,1,5,2,3]=>0000
[-4,-1,-5,2,-3]=>[4,1,5,2,3]=>0000
[-4,-1,-5,-2,3]=>[4,1,5,2,3]=>0000
[-4,-1,-5,-2,-3]=>[4,1,5,2,3]=>0000
[4,1,5,3,2]=>[4,1,5,3,2]=>0000
[4,1,5,3,-2]=>[4,1,5,3,2]=>0000
[4,1,5,-3,2]=>[4,1,5,3,2]=>0000
[4,1,5,-3,-2]=>[4,1,5,3,2]=>0000
[4,1,-5,3,2]=>[4,1,5,3,2]=>0000
[4,1,-5,3,-2]=>[4,1,5,3,2]=>0000
[4,1,-5,-3,2]=>[4,1,5,3,2]=>0000
[4,1,-5,-3,-2]=>[4,1,5,3,2]=>0000
[4,-1,5,3,2]=>[4,1,5,3,2]=>0000
[4,-1,5,3,-2]=>[4,1,5,3,2]=>0000
[4,-1,5,-3,2]=>[4,1,5,3,2]=>0000
[4,-1,5,-3,-2]=>[4,1,5,3,2]=>0000
[4,-1,-5,3,2]=>[4,1,5,3,2]=>0000
[4,-1,-5,3,-2]=>[4,1,5,3,2]=>0000
[4,-1,-5,-3,2]=>[4,1,5,3,2]=>0000
[4,-1,-5,-3,-2]=>[4,1,5,3,2]=>0000
[-4,1,5,3,2]=>[4,1,5,3,2]=>0000
[-4,1,5,3,-2]=>[4,1,5,3,2]=>0000
[-4,1,5,-3,2]=>[4,1,5,3,2]=>0000
[-4,1,5,-3,-2]=>[4,1,5,3,2]=>0000
[-4,1,-5,3,2]=>[4,1,5,3,2]=>0000
[-4,1,-5,3,-2]=>[4,1,5,3,2]=>0000
[-4,1,-5,-3,2]=>[4,1,5,3,2]=>0000
[-4,1,-5,-3,-2]=>[4,1,5,3,2]=>0000
[-4,-1,5,3,2]=>[4,1,5,3,2]=>0000
[-4,-1,5,3,-2]=>[4,1,5,3,2]=>0000
[-4,-1,5,-3,2]=>[4,1,5,3,2]=>0000
[-4,-1,5,-3,-2]=>[4,1,5,3,2]=>0000
[-4,-1,-5,3,2]=>[4,1,5,3,2]=>0000
[-4,-1,-5,3,-2]=>[4,1,5,3,2]=>0000
[-4,-1,-5,-3,2]=>[4,1,5,3,2]=>0000
[-4,-1,-5,-3,-2]=>[4,1,5,3,2]=>0000
[4,2,1,3,5]=>[4,2,1,3,5]=>0001
[4,2,1,3,-5]=>[4,2,1,3,5]=>0001
[4,2,1,-3,5]=>[4,2,1,3,5]=>0001
[4,2,1,-3,-5]=>[4,2,1,3,5]=>0001
[4,2,-1,3,5]=>[4,2,1,3,5]=>0001
[4,2,-1,3,-5]=>[4,2,1,3,5]=>0001
[4,2,-1,-3,5]=>[4,2,1,3,5]=>0001
[4,2,-1,-3,-5]=>[4,2,1,3,5]=>0001
[4,-2,1,3,5]=>[4,2,1,3,5]=>0001
[4,-2,1,3,-5]=>[4,2,1,3,5]=>0001
[4,-2,1,-3,5]=>[4,2,1,3,5]=>0001
[4,-2,1,-3,-5]=>[4,2,1,3,5]=>0001
[4,-2,-1,3,5]=>[4,2,1,3,5]=>0001
[4,-2,-1,3,-5]=>[4,2,1,3,5]=>0001
[4,-2,-1,-3,5]=>[4,2,1,3,5]=>0001
[4,-2,-1,-3,-5]=>[4,2,1,3,5]=>0001
[-4,2,1,3,5]=>[4,2,1,3,5]=>0001
[-4,2,1,3,-5]=>[4,2,1,3,5]=>0001
[-4,2,1,-3,5]=>[4,2,1,3,5]=>0001
[-4,2,1,-3,-5]=>[4,2,1,3,5]=>0001
[-4,2,-1,3,5]=>[4,2,1,3,5]=>0001
[-4,2,-1,3,-5]=>[4,2,1,3,5]=>0001
[-4,2,-1,-3,5]=>[4,2,1,3,5]=>0001
[-4,2,-1,-3,-5]=>[4,2,1,3,5]=>0001
[-4,-2,1,3,5]=>[4,2,1,3,5]=>0001
[-4,-2,1,3,-5]=>[4,2,1,3,5]=>0001
[-4,-2,1,-3,5]=>[4,2,1,3,5]=>0001
[-4,-2,1,-3,-5]=>[4,2,1,3,5]=>0001
[-4,-2,-1,3,5]=>[4,2,1,3,5]=>0001
[-4,-2,-1,3,-5]=>[4,2,1,3,5]=>0001
[-4,-2,-1,-3,5]=>[4,2,1,3,5]=>0001
[-4,-2,-1,-3,-5]=>[4,2,1,3,5]=>0001
[4,2,1,5,3]=>[4,2,1,5,3]=>0000
[4,2,1,5,-3]=>[4,2,1,5,3]=>0000
[4,2,1,-5,3]=>[4,2,1,5,3]=>0000
[4,2,1,-5,-3]=>[4,2,1,5,3]=>0000
[4,2,-1,5,3]=>[4,2,1,5,3]=>0000
[4,2,-1,5,-3]=>[4,2,1,5,3]=>0000
[4,2,-1,-5,3]=>[4,2,1,5,3]=>0000
[4,2,-1,-5,-3]=>[4,2,1,5,3]=>0000
[4,-2,1,5,3]=>[4,2,1,5,3]=>0000
[4,-2,1,5,-3]=>[4,2,1,5,3]=>0000
[4,-2,1,-5,3]=>[4,2,1,5,3]=>0000
[4,-2,1,-5,-3]=>[4,2,1,5,3]=>0000
[4,-2,-1,5,3]=>[4,2,1,5,3]=>0000
[4,-2,-1,5,-3]=>[4,2,1,5,3]=>0000
[4,-2,-1,-5,3]=>[4,2,1,5,3]=>0000
[4,-2,-1,-5,-3]=>[4,2,1,5,3]=>0000
[-4,2,1,5,3]=>[4,2,1,5,3]=>0000
[-4,2,1,5,-3]=>[4,2,1,5,3]=>0000
[-4,2,1,-5,3]=>[4,2,1,5,3]=>0000
[-4,2,1,-5,-3]=>[4,2,1,5,3]=>0000
[-4,2,-1,5,3]=>[4,2,1,5,3]=>0000
[-4,2,-1,5,-3]=>[4,2,1,5,3]=>0000
[-4,2,-1,-5,3]=>[4,2,1,5,3]=>0000
[-4,2,-1,-5,-3]=>[4,2,1,5,3]=>0000
[-4,-2,1,5,3]=>[4,2,1,5,3]=>0000
[-4,-2,1,5,-3]=>[4,2,1,5,3]=>0000
[-4,-2,1,-5,3]=>[4,2,1,5,3]=>0000
[-4,-2,1,-5,-3]=>[4,2,1,5,3]=>0000
[-4,-2,-1,5,3]=>[4,2,1,5,3]=>0000
[-4,-2,-1,5,-3]=>[4,2,1,5,3]=>0000
[-4,-2,-1,-5,3]=>[4,2,1,5,3]=>0000
[-4,-2,-1,-5,-3]=>[4,2,1,5,3]=>0000
[4,2,3,1,5]=>[4,2,3,1,5]=>0001
[4,2,3,1,-5]=>[4,2,3,1,5]=>0001
[4,2,3,-1,5]=>[4,2,3,1,5]=>0001
[4,2,3,-1,-5]=>[4,2,3,1,5]=>0001
[4,2,-3,1,5]=>[4,2,3,1,5]=>0001
[4,2,-3,1,-5]=>[4,2,3,1,5]=>0001
[4,2,-3,-1,5]=>[4,2,3,1,5]=>0001
[4,2,-3,-1,-5]=>[4,2,3,1,5]=>0001
[4,-2,3,1,5]=>[4,2,3,1,5]=>0001
[4,-2,3,1,-5]=>[4,2,3,1,5]=>0001
[4,-2,3,-1,5]=>[4,2,3,1,5]=>0001
[4,-2,3,-1,-5]=>[4,2,3,1,5]=>0001
[4,-2,-3,1,5]=>[4,2,3,1,5]=>0001
[4,-2,-3,1,-5]=>[4,2,3,1,5]=>0001
[4,-2,-3,-1,5]=>[4,2,3,1,5]=>0001
[4,-2,-3,-1,-5]=>[4,2,3,1,5]=>0001
[-4,2,3,1,5]=>[4,2,3,1,5]=>0001
[-4,2,3,1,-5]=>[4,2,3,1,5]=>0001
[-4,2,3,-1,5]=>[4,2,3,1,5]=>0001
[-4,2,3,-1,-5]=>[4,2,3,1,5]=>0001
[-4,2,-3,1,5]=>[4,2,3,1,5]=>0001
[-4,2,-3,1,-5]=>[4,2,3,1,5]=>0001
[-4,2,-3,-1,5]=>[4,2,3,1,5]=>0001
[-4,2,-3,-1,-5]=>[4,2,3,1,5]=>0001
[-4,-2,3,1,5]=>[4,2,3,1,5]=>0001
[-4,-2,3,1,-5]=>[4,2,3,1,5]=>0001
[-4,-2,3,-1,5]=>[4,2,3,1,5]=>0001
[-4,-2,3,-1,-5]=>[4,2,3,1,5]=>0001
[-4,-2,-3,1,5]=>[4,2,3,1,5]=>0001
[-4,-2,-3,1,-5]=>[4,2,3,1,5]=>0001
[-4,-2,-3,-1,5]=>[4,2,3,1,5]=>0001
[-4,-2,-3,-1,-5]=>[4,2,3,1,5]=>0001
[4,2,3,5,1]=>[4,2,3,5,1]=>0000
[4,2,3,5,-1]=>[4,2,3,5,1]=>0000
[4,2,3,-5,1]=>[4,2,3,5,1]=>0000
[4,2,3,-5,-1]=>[4,2,3,5,1]=>0000
[4,2,-3,5,1]=>[4,2,3,5,1]=>0000
[4,2,-3,5,-1]=>[4,2,3,5,1]=>0000
[4,2,-3,-5,1]=>[4,2,3,5,1]=>0000
[4,2,-3,-5,-1]=>[4,2,3,5,1]=>0000
[4,-2,3,5,1]=>[4,2,3,5,1]=>0000
[4,-2,3,5,-1]=>[4,2,3,5,1]=>0000
[4,-2,3,-5,1]=>[4,2,3,5,1]=>0000
[4,-2,3,-5,-1]=>[4,2,3,5,1]=>0000
[4,-2,-3,5,1]=>[4,2,3,5,1]=>0000
[4,-2,-3,5,-1]=>[4,2,3,5,1]=>0000
[4,-2,-3,-5,1]=>[4,2,3,5,1]=>0000
[4,-2,-3,-5,-1]=>[4,2,3,5,1]=>0000
[-4,2,3,5,1]=>[4,2,3,5,1]=>0000
[-4,2,3,5,-1]=>[4,2,3,5,1]=>0000
[-4,2,3,-5,1]=>[4,2,3,5,1]=>0000
[-4,2,3,-5,-1]=>[4,2,3,5,1]=>0000
[-4,2,-3,5,1]=>[4,2,3,5,1]=>0000
[-4,2,-3,5,-1]=>[4,2,3,5,1]=>0000
[-4,2,-3,-5,1]=>[4,2,3,5,1]=>0000
[-4,2,-3,-5,-1]=>[4,2,3,5,1]=>0000
[-4,-2,3,5,1]=>[4,2,3,5,1]=>0000
[-4,-2,3,5,-1]=>[4,2,3,5,1]=>0000
[-4,-2,3,-5,1]=>[4,2,3,5,1]=>0000
[-4,-2,3,-5,-1]=>[4,2,3,5,1]=>0000
[-4,-2,-3,5,1]=>[4,2,3,5,1]=>0000
[-4,-2,-3,5,-1]=>[4,2,3,5,1]=>0000
[-4,-2,-3,-5,1]=>[4,2,3,5,1]=>0000
[-4,-2,-3,-5,-1]=>[4,2,3,5,1]=>0000
[4,2,5,1,3]=>[4,2,5,1,3]=>0000
[4,2,5,1,-3]=>[4,2,5,1,3]=>0000
[4,2,5,-1,3]=>[4,2,5,1,3]=>0000
[4,2,5,-1,-3]=>[4,2,5,1,3]=>0000
[4,2,-5,1,3]=>[4,2,5,1,3]=>0000
[4,2,-5,1,-3]=>[4,2,5,1,3]=>0000
[4,2,-5,-1,3]=>[4,2,5,1,3]=>0000
[4,2,-5,-1,-3]=>[4,2,5,1,3]=>0000
[4,-2,5,1,3]=>[4,2,5,1,3]=>0000
[4,-2,5,1,-3]=>[4,2,5,1,3]=>0000
[4,-2,5,-1,3]=>[4,2,5,1,3]=>0000
[4,-2,5,-1,-3]=>[4,2,5,1,3]=>0000
[4,-2,-5,1,3]=>[4,2,5,1,3]=>0000
[4,-2,-5,1,-3]=>[4,2,5,1,3]=>0000
[4,-2,-5,-1,3]=>[4,2,5,1,3]=>0000
[4,-2,-5,-1,-3]=>[4,2,5,1,3]=>0000
[-4,2,5,1,3]=>[4,2,5,1,3]=>0000
[-4,2,5,1,-3]=>[4,2,5,1,3]=>0000
[-4,2,5,-1,3]=>[4,2,5,1,3]=>0000
[-4,2,5,-1,-3]=>[4,2,5,1,3]=>0000
[-4,2,-5,1,3]=>[4,2,5,1,3]=>0000
[-4,2,-5,1,-3]=>[4,2,5,1,3]=>0000
[-4,2,-5,-1,3]=>[4,2,5,1,3]=>0000
[-4,2,-5,-1,-3]=>[4,2,5,1,3]=>0000
[-4,-2,5,1,3]=>[4,2,5,1,3]=>0000
[-4,-2,5,1,-3]=>[4,2,5,1,3]=>0000
[-4,-2,5,-1,3]=>[4,2,5,1,3]=>0000
[-4,-2,5,-1,-3]=>[4,2,5,1,3]=>0000
[-4,-2,-5,1,3]=>[4,2,5,1,3]=>0000
[-4,-2,-5,1,-3]=>[4,2,5,1,3]=>0000
[-4,-2,-5,-1,3]=>[4,2,5,1,3]=>0000
[-4,-2,-5,-1,-3]=>[4,2,5,1,3]=>0000
[4,2,5,3,1]=>[4,2,5,3,1]=>0000
[4,2,5,3,-1]=>[4,2,5,3,1]=>0000
[4,2,5,-3,1]=>[4,2,5,3,1]=>0000
[4,2,5,-3,-1]=>[4,2,5,3,1]=>0000
[4,2,-5,3,1]=>[4,2,5,3,1]=>0000
[4,2,-5,3,-1]=>[4,2,5,3,1]=>0000
[4,2,-5,-3,1]=>[4,2,5,3,1]=>0000
[4,2,-5,-3,-1]=>[4,2,5,3,1]=>0000
[4,-2,5,3,1]=>[4,2,5,3,1]=>0000
[4,-2,5,3,-1]=>[4,2,5,3,1]=>0000
[4,-2,5,-3,1]=>[4,2,5,3,1]=>0000
[4,-2,5,-3,-1]=>[4,2,5,3,1]=>0000
[4,-2,-5,3,1]=>[4,2,5,3,1]=>0000
[4,-2,-5,3,-1]=>[4,2,5,3,1]=>0000
[4,-2,-5,-3,1]=>[4,2,5,3,1]=>0000
[4,-2,-5,-3,-1]=>[4,2,5,3,1]=>0000
[-4,2,5,3,1]=>[4,2,5,3,1]=>0000
[-4,2,5,3,-1]=>[4,2,5,3,1]=>0000
[-4,2,5,-3,1]=>[4,2,5,3,1]=>0000
[-4,2,5,-3,-1]=>[4,2,5,3,1]=>0000
[-4,2,-5,3,1]=>[4,2,5,3,1]=>0000
[-4,2,-5,3,-1]=>[4,2,5,3,1]=>0000
[-4,2,-5,-3,1]=>[4,2,5,3,1]=>0000
[-4,2,-5,-3,-1]=>[4,2,5,3,1]=>0000
[-4,-2,5,3,1]=>[4,2,5,3,1]=>0000
[-4,-2,5,3,-1]=>[4,2,5,3,1]=>0000
[-4,-2,5,-3,1]=>[4,2,5,3,1]=>0000
[-4,-2,5,-3,-1]=>[4,2,5,3,1]=>0000
[-4,-2,-5,3,1]=>[4,2,5,3,1]=>0000
[-4,-2,-5,3,-1]=>[4,2,5,3,1]=>0000
[-4,-2,-5,-3,1]=>[4,2,5,3,1]=>0000
[-4,-2,-5,-3,-1]=>[4,2,5,3,1]=>0000
[4,3,1,2,5]=>[4,3,1,2,5]=>0001
[4,3,1,2,-5]=>[4,3,1,2,5]=>0001
[4,3,1,-2,5]=>[4,3,1,2,5]=>0001
[4,3,1,-2,-5]=>[4,3,1,2,5]=>0001
[4,3,-1,2,5]=>[4,3,1,2,5]=>0001
[4,3,-1,2,-5]=>[4,3,1,2,5]=>0001
[4,3,-1,-2,5]=>[4,3,1,2,5]=>0001
[4,3,-1,-2,-5]=>[4,3,1,2,5]=>0001
[4,-3,1,2,5]=>[4,3,1,2,5]=>0001
[4,-3,1,2,-5]=>[4,3,1,2,5]=>0001
[4,-3,1,-2,5]=>[4,3,1,2,5]=>0001
[4,-3,1,-2,-5]=>[4,3,1,2,5]=>0001
[4,-3,-1,2,5]=>[4,3,1,2,5]=>0001
[4,-3,-1,2,-5]=>[4,3,1,2,5]=>0001
[4,-3,-1,-2,5]=>[4,3,1,2,5]=>0001
[4,-3,-1,-2,-5]=>[4,3,1,2,5]=>0001
[-4,3,1,2,5]=>[4,3,1,2,5]=>0001
[-4,3,1,2,-5]=>[4,3,1,2,5]=>0001
[-4,3,1,-2,5]=>[4,3,1,2,5]=>0001
[-4,3,1,-2,-5]=>[4,3,1,2,5]=>0001
[-4,3,-1,2,5]=>[4,3,1,2,5]=>0001
[-4,3,-1,2,-5]=>[4,3,1,2,5]=>0001
[-4,3,-1,-2,5]=>[4,3,1,2,5]=>0001
[-4,3,-1,-2,-5]=>[4,3,1,2,5]=>0001
[-4,-3,1,2,5]=>[4,3,1,2,5]=>0001
[-4,-3,1,2,-5]=>[4,3,1,2,5]=>0001
[-4,-3,1,-2,5]=>[4,3,1,2,5]=>0001
[-4,-3,1,-2,-5]=>[4,3,1,2,5]=>0001
[-4,-3,-1,2,5]=>[4,3,1,2,5]=>0001
[-4,-3,-1,2,-5]=>[4,3,1,2,5]=>0001
[-4,-3,-1,-2,5]=>[4,3,1,2,5]=>0001
[-4,-3,-1,-2,-5]=>[4,3,1,2,5]=>0001
[4,3,1,5,2]=>[4,3,1,5,2]=>0000
[4,3,1,5,-2]=>[4,3,1,5,2]=>0000
[4,3,1,-5,2]=>[4,3,1,5,2]=>0000
[4,3,1,-5,-2]=>[4,3,1,5,2]=>0000
[4,3,-1,5,2]=>[4,3,1,5,2]=>0000
[4,3,-1,5,-2]=>[4,3,1,5,2]=>0000
[4,3,-1,-5,2]=>[4,3,1,5,2]=>0000
[4,3,-1,-5,-2]=>[4,3,1,5,2]=>0000
[4,-3,1,5,2]=>[4,3,1,5,2]=>0000
[4,-3,1,5,-2]=>[4,3,1,5,2]=>0000
[4,-3,1,-5,2]=>[4,3,1,5,2]=>0000
[4,-3,1,-5,-2]=>[4,3,1,5,2]=>0000
[4,-3,-1,5,2]=>[4,3,1,5,2]=>0000
[4,-3,-1,5,-2]=>[4,3,1,5,2]=>0000
[4,-3,-1,-5,2]=>[4,3,1,5,2]=>0000
[4,-3,-1,-5,-2]=>[4,3,1,5,2]=>0000
[-4,3,1,5,2]=>[4,3,1,5,2]=>0000
[-4,3,1,5,-2]=>[4,3,1,5,2]=>0000
[-4,3,1,-5,2]=>[4,3,1,5,2]=>0000
[-4,3,1,-5,-2]=>[4,3,1,5,2]=>0000
[-4,3,-1,5,2]=>[4,3,1,5,2]=>0000
[-4,3,-1,5,-2]=>[4,3,1,5,2]=>0000
[-4,3,-1,-5,2]=>[4,3,1,5,2]=>0000
[-4,3,-1,-5,-2]=>[4,3,1,5,2]=>0000
[-4,-3,1,5,2]=>[4,3,1,5,2]=>0000
[-4,-3,1,5,-2]=>[4,3,1,5,2]=>0000
[-4,-3,1,-5,2]=>[4,3,1,5,2]=>0000
[-4,-3,1,-5,-2]=>[4,3,1,5,2]=>0000
[-4,-3,-1,5,2]=>[4,3,1,5,2]=>0000
[-4,-3,-1,5,-2]=>[4,3,1,5,2]=>0000
[-4,-3,-1,-5,2]=>[4,3,1,5,2]=>0000
[-4,-3,-1,-5,-2]=>[4,3,1,5,2]=>0000
[4,3,2,1,5]=>[4,3,2,1,5]=>0001
[4,3,2,1,-5]=>[4,3,2,1,5]=>0001
[4,3,2,-1,5]=>[4,3,2,1,5]=>0001
[4,3,2,-1,-5]=>[4,3,2,1,5]=>0001
[4,3,-2,1,5]=>[4,3,2,1,5]=>0001
[4,3,-2,1,-5]=>[4,3,2,1,5]=>0001
[4,3,-2,-1,5]=>[4,3,2,1,5]=>0001
[4,3,-2,-1,-5]=>[4,3,2,1,5]=>0001
[4,-3,2,1,5]=>[4,3,2,1,5]=>0001
[4,-3,2,1,-5]=>[4,3,2,1,5]=>0001
[4,-3,2,-1,5]=>[4,3,2,1,5]=>0001
[4,-3,2,-1,-5]=>[4,3,2,1,5]=>0001
[4,-3,-2,1,5]=>[4,3,2,1,5]=>0001
[4,-3,-2,1,-5]=>[4,3,2,1,5]=>0001
[4,-3,-2,-1,5]=>[4,3,2,1,5]=>0001
[4,-3,-2,-1,-5]=>[4,3,2,1,5]=>0001
[-4,3,2,1,5]=>[4,3,2,1,5]=>0001
[-4,3,2,1,-5]=>[4,3,2,1,5]=>0001
[-4,3,2,-1,5]=>[4,3,2,1,5]=>0001
[-4,3,2,-1,-5]=>[4,3,2,1,5]=>0001
[-4,3,-2,1,5]=>[4,3,2,1,5]=>0001
[-4,3,-2,1,-5]=>[4,3,2,1,5]=>0001
[-4,3,-2,-1,5]=>[4,3,2,1,5]=>0001
[-4,3,-2,-1,-5]=>[4,3,2,1,5]=>0001
[-4,-3,2,1,5]=>[4,3,2,1,5]=>0001
[-4,-3,2,1,-5]=>[4,3,2,1,5]=>0001
[-4,-3,2,-1,5]=>[4,3,2,1,5]=>0001
[-4,-3,2,-1,-5]=>[4,3,2,1,5]=>0001
[-4,-3,-2,1,5]=>[4,3,2,1,5]=>0001
[-4,-3,-2,1,-5]=>[4,3,2,1,5]=>0001
[-4,-3,-2,-1,5]=>[4,3,2,1,5]=>0001
[-4,-3,-2,-1,-5]=>[4,3,2,1,5]=>0001
[4,3,2,5,1]=>[4,3,2,5,1]=>0000
[4,3,2,5,-1]=>[4,3,2,5,1]=>0000
[4,3,2,-5,1]=>[4,3,2,5,1]=>0000
[4,3,2,-5,-1]=>[4,3,2,5,1]=>0000
[4,3,-2,5,1]=>[4,3,2,5,1]=>0000
[4,3,-2,5,-1]=>[4,3,2,5,1]=>0000
[4,3,-2,-5,1]=>[4,3,2,5,1]=>0000
[4,3,-2,-5,-1]=>[4,3,2,5,1]=>0000
[4,-3,2,5,1]=>[4,3,2,5,1]=>0000
[4,-3,2,5,-1]=>[4,3,2,5,1]=>0000
[4,-3,2,-5,1]=>[4,3,2,5,1]=>0000
[4,-3,2,-5,-1]=>[4,3,2,5,1]=>0000
[4,-3,-2,5,1]=>[4,3,2,5,1]=>0000
[4,-3,-2,5,-1]=>[4,3,2,5,1]=>0000
[4,-3,-2,-5,1]=>[4,3,2,5,1]=>0000
[4,-3,-2,-5,-1]=>[4,3,2,5,1]=>0000
[-4,3,2,5,1]=>[4,3,2,5,1]=>0000
[-4,3,2,5,-1]=>[4,3,2,5,1]=>0000
[-4,3,2,-5,1]=>[4,3,2,5,1]=>0000
[-4,3,2,-5,-1]=>[4,3,2,5,1]=>0000
[-4,3,-2,5,1]=>[4,3,2,5,1]=>0000
[-4,3,-2,5,-1]=>[4,3,2,5,1]=>0000
[-4,3,-2,-5,1]=>[4,3,2,5,1]=>0000
[-4,3,-2,-5,-1]=>[4,3,2,5,1]=>0000
[-4,-3,2,5,1]=>[4,3,2,5,1]=>0000
[-4,-3,2,5,-1]=>[4,3,2,5,1]=>0000
[-4,-3,2,-5,1]=>[4,3,2,5,1]=>0000
[-4,-3,2,-5,-1]=>[4,3,2,5,1]=>0000
[-4,-3,-2,5,1]=>[4,3,2,5,1]=>0000
[-4,-3,-2,5,-1]=>[4,3,2,5,1]=>0000
[-4,-3,-2,-5,1]=>[4,3,2,5,1]=>0000
[-4,-3,-2,-5,-1]=>[4,3,2,5,1]=>0000
[4,3,5,1,2]=>[4,3,5,1,2]=>0000
[4,3,5,1,-2]=>[4,3,5,1,2]=>0000
[4,3,5,-1,2]=>[4,3,5,1,2]=>0000
[4,3,5,-1,-2]=>[4,3,5,1,2]=>0000
[4,3,-5,1,2]=>[4,3,5,1,2]=>0000
[4,3,-5,1,-2]=>[4,3,5,1,2]=>0000
[4,3,-5,-1,2]=>[4,3,5,1,2]=>0000
[4,3,-5,-1,-2]=>[4,3,5,1,2]=>0000
[4,-3,5,1,2]=>[4,3,5,1,2]=>0000
[4,-3,5,1,-2]=>[4,3,5,1,2]=>0000
[4,-3,5,-1,2]=>[4,3,5,1,2]=>0000
[4,-3,5,-1,-2]=>[4,3,5,1,2]=>0000
[4,-3,-5,1,2]=>[4,3,5,1,2]=>0000
[4,-3,-5,1,-2]=>[4,3,5,1,2]=>0000
[4,-3,-5,-1,2]=>[4,3,5,1,2]=>0000
[4,-3,-5,-1,-2]=>[4,3,5,1,2]=>0000
[-4,3,5,1,2]=>[4,3,5,1,2]=>0000
[-4,3,5,1,-2]=>[4,3,5,1,2]=>0000
[-4,3,5,-1,2]=>[4,3,5,1,2]=>0000
[-4,3,5,-1,-2]=>[4,3,5,1,2]=>0000
[-4,3,-5,1,2]=>[4,3,5,1,2]=>0000
[-4,3,-5,1,-2]=>[4,3,5,1,2]=>0000
[-4,3,-5,-1,2]=>[4,3,5,1,2]=>0000
[-4,3,-5,-1,-2]=>[4,3,5,1,2]=>0000
[-4,-3,5,1,2]=>[4,3,5,1,2]=>0000
[-4,-3,5,1,-2]=>[4,3,5,1,2]=>0000
[-4,-3,5,-1,2]=>[4,3,5,1,2]=>0000
[-4,-3,5,-1,-2]=>[4,3,5,1,2]=>0000
[-4,-3,-5,1,2]=>[4,3,5,1,2]=>0000
[-4,-3,-5,1,-2]=>[4,3,5,1,2]=>0000
[-4,-3,-5,-1,2]=>[4,3,5,1,2]=>0000
[-4,-3,-5,-1,-2]=>[4,3,5,1,2]=>0000
[4,3,5,2,1]=>[4,3,5,2,1]=>0000
[4,3,5,2,-1]=>[4,3,5,2,1]=>0000
[4,3,5,-2,1]=>[4,3,5,2,1]=>0000
[4,3,5,-2,-1]=>[4,3,5,2,1]=>0000
[4,3,-5,2,1]=>[4,3,5,2,1]=>0000
[4,3,-5,2,-1]=>[4,3,5,2,1]=>0000
[4,3,-5,-2,1]=>[4,3,5,2,1]=>0000
[4,3,-5,-2,-1]=>[4,3,5,2,1]=>0000
[4,-3,5,2,1]=>[4,3,5,2,1]=>0000
[4,-3,5,2,-1]=>[4,3,5,2,1]=>0000
[4,-3,5,-2,1]=>[4,3,5,2,1]=>0000
[4,-3,5,-2,-1]=>[4,3,5,2,1]=>0000
[4,-3,-5,2,1]=>[4,3,5,2,1]=>0000
[4,-3,-5,2,-1]=>[4,3,5,2,1]=>0000
[4,-3,-5,-2,1]=>[4,3,5,2,1]=>0000
[4,-3,-5,-2,-1]=>[4,3,5,2,1]=>0000
[-4,3,5,2,1]=>[4,3,5,2,1]=>0000
[-4,3,5,2,-1]=>[4,3,5,2,1]=>0000
[-4,3,5,-2,1]=>[4,3,5,2,1]=>0000
[-4,3,5,-2,-1]=>[4,3,5,2,1]=>0000
[-4,3,-5,2,1]=>[4,3,5,2,1]=>0000
[-4,3,-5,2,-1]=>[4,3,5,2,1]=>0000
[-4,3,-5,-2,1]=>[4,3,5,2,1]=>0000
[-4,3,-5,-2,-1]=>[4,3,5,2,1]=>0000
[-4,-3,5,2,1]=>[4,3,5,2,1]=>0000
[-4,-3,5,2,-1]=>[4,3,5,2,1]=>0000
[-4,-3,5,-2,1]=>[4,3,5,2,1]=>0000
[-4,-3,5,-2,-1]=>[4,3,5,2,1]=>0000
[-4,-3,-5,2,1]=>[4,3,5,2,1]=>0000
[-4,-3,-5,2,-1]=>[4,3,5,2,1]=>0000
[-4,-3,-5,-2,1]=>[4,3,5,2,1]=>0000
[-4,-3,-5,-2,-1]=>[4,3,5,2,1]=>0000
[4,5,1,2,3]=>[4,5,1,2,3]=>0000
[4,5,1,2,-3]=>[4,5,1,2,3]=>0000
[4,5,1,-2,3]=>[4,5,1,2,3]=>0000
[4,5,1,-2,-3]=>[4,5,1,2,3]=>0000
[4,5,-1,2,3]=>[4,5,1,2,3]=>0000
[4,5,-1,2,-3]=>[4,5,1,2,3]=>0000
[4,5,-1,-2,3]=>[4,5,1,2,3]=>0000
[4,5,-1,-2,-3]=>[4,5,1,2,3]=>0000
[4,-5,1,2,3]=>[4,5,1,2,3]=>0000
[4,-5,1,2,-3]=>[4,5,1,2,3]=>0000
[4,-5,1,-2,3]=>[4,5,1,2,3]=>0000
[4,-5,1,-2,-3]=>[4,5,1,2,3]=>0000
[4,-5,-1,2,3]=>[4,5,1,2,3]=>0000
[4,-5,-1,2,-3]=>[4,5,1,2,3]=>0000
[4,-5,-1,-2,3]=>[4,5,1,2,3]=>0000
[4,-5,-1,-2,-3]=>[4,5,1,2,3]=>0000
[-4,5,1,2,3]=>[4,5,1,2,3]=>0000
[-4,5,1,2,-3]=>[4,5,1,2,3]=>0000
[-4,5,1,-2,3]=>[4,5,1,2,3]=>0000
[-4,5,1,-2,-3]=>[4,5,1,2,3]=>0000
[-4,5,-1,2,3]=>[4,5,1,2,3]=>0000
[-4,5,-1,2,-3]=>[4,5,1,2,3]=>0000
[-4,5,-1,-2,3]=>[4,5,1,2,3]=>0000
[-4,5,-1,-2,-3]=>[4,5,1,2,3]=>0000
[-4,-5,1,2,3]=>[4,5,1,2,3]=>0000
[-4,-5,1,2,-3]=>[4,5,1,2,3]=>0000
[-4,-5,1,-2,3]=>[4,5,1,2,3]=>0000
[-4,-5,1,-2,-3]=>[4,5,1,2,3]=>0000
[-4,-5,-1,2,3]=>[4,5,1,2,3]=>0000
[-4,-5,-1,2,-3]=>[4,5,1,2,3]=>0000
[-4,-5,-1,-2,3]=>[4,5,1,2,3]=>0000
[-4,-5,-1,-2,-3]=>[4,5,1,2,3]=>0000
[4,5,1,3,2]=>[4,5,1,3,2]=>0000
[4,5,1,3,-2]=>[4,5,1,3,2]=>0000
[4,5,1,-3,2]=>[4,5,1,3,2]=>0000
[4,5,1,-3,-2]=>[4,5,1,3,2]=>0000
[4,5,-1,3,2]=>[4,5,1,3,2]=>0000
[4,5,-1,3,-2]=>[4,5,1,3,2]=>0000
[4,5,-1,-3,2]=>[4,5,1,3,2]=>0000
[4,5,-1,-3,-2]=>[4,5,1,3,2]=>0000
[4,-5,1,3,2]=>[4,5,1,3,2]=>0000
[4,-5,1,3,-2]=>[4,5,1,3,2]=>0000
[4,-5,1,-3,2]=>[4,5,1,3,2]=>0000
[4,-5,1,-3,-2]=>[4,5,1,3,2]=>0000
[4,-5,-1,3,2]=>[4,5,1,3,2]=>0000
[4,-5,-1,3,-2]=>[4,5,1,3,2]=>0000
[4,-5,-1,-3,2]=>[4,5,1,3,2]=>0000
[4,-5,-1,-3,-2]=>[4,5,1,3,2]=>0000
[-4,5,1,3,2]=>[4,5,1,3,2]=>0000
[-4,5,1,3,-2]=>[4,5,1,3,2]=>0000
[-4,5,1,-3,2]=>[4,5,1,3,2]=>0000
[-4,5,1,-3,-2]=>[4,5,1,3,2]=>0000
[-4,5,-1,3,2]=>[4,5,1,3,2]=>0000
[-4,5,-1,3,-2]=>[4,5,1,3,2]=>0000
[-4,5,-1,-3,2]=>[4,5,1,3,2]=>0000
[-4,5,-1,-3,-2]=>[4,5,1,3,2]=>0000
[-4,-5,1,3,2]=>[4,5,1,3,2]=>0000
[-4,-5,1,3,-2]=>[4,5,1,3,2]=>0000
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[-4,-5,-1,3,2]=>[4,5,1,3,2]=>0000
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[4,-5,-2,-1,3]=>[4,5,2,1,3]=>0000
[4,-5,-2,-1,-3]=>[4,5,2,1,3]=>0000
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[-4,5,-2,-1,3]=>[4,5,2,1,3]=>0000
[-4,5,-2,-1,-3]=>[4,5,2,1,3]=>0000
[-4,-5,2,1,3]=>[4,5,2,1,3]=>0000
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[-5,3,2,-1,4]=>[5,3,2,1,4]=>0000
[-5,3,2,-1,-4]=>[5,3,2,1,4]=>0000
[-5,3,-2,1,4]=>[5,3,2,1,4]=>0000
[-5,3,-2,1,-4]=>[5,3,2,1,4]=>0000
[-5,3,-2,-1,4]=>[5,3,2,1,4]=>0000
[-5,3,-2,-1,-4]=>[5,3,2,1,4]=>0000
[-5,-3,2,1,4]=>[5,3,2,1,4]=>0000
[-5,-3,2,1,-4]=>[5,3,2,1,4]=>0000
[-5,-3,2,-1,4]=>[5,3,2,1,4]=>0000
[-5,-3,2,-1,-4]=>[5,3,2,1,4]=>0000
[-5,-3,-2,1,4]=>[5,3,2,1,4]=>0000
[-5,-3,-2,1,-4]=>[5,3,2,1,4]=>0000
[-5,-3,-2,-1,4]=>[5,3,2,1,4]=>0000
[-5,-3,-2,-1,-4]=>[5,3,2,1,4]=>0000
[5,3,2,4,1]=>[5,3,2,4,1]=>0000
[5,3,2,4,-1]=>[5,3,2,4,1]=>0000
[5,3,2,-4,1]=>[5,3,2,4,1]=>0000
[5,3,2,-4,-1]=>[5,3,2,4,1]=>0000
[5,3,-2,4,1]=>[5,3,2,4,1]=>0000
[5,3,-2,4,-1]=>[5,3,2,4,1]=>0000
[5,3,-2,-4,1]=>[5,3,2,4,1]=>0000
[5,3,-2,-4,-1]=>[5,3,2,4,1]=>0000
[5,-3,2,4,1]=>[5,3,2,4,1]=>0000
[5,-3,2,4,-1]=>[5,3,2,4,1]=>0000
[5,-3,2,-4,1]=>[5,3,2,4,1]=>0000
[5,-3,2,-4,-1]=>[5,3,2,4,1]=>0000
[5,-3,-2,4,1]=>[5,3,2,4,1]=>0000
[5,-3,-2,4,-1]=>[5,3,2,4,1]=>0000
[5,-3,-2,-4,1]=>[5,3,2,4,1]=>0000
[5,-3,-2,-4,-1]=>[5,3,2,4,1]=>0000
[-5,3,2,4,1]=>[5,3,2,4,1]=>0000
[-5,3,2,4,-1]=>[5,3,2,4,1]=>0000
[-5,3,2,-4,1]=>[5,3,2,4,1]=>0000
[-5,3,2,-4,-1]=>[5,3,2,4,1]=>0000
[-5,3,-2,4,1]=>[5,3,2,4,1]=>0000
[-5,3,-2,4,-1]=>[5,3,2,4,1]=>0000
[-5,3,-2,-4,1]=>[5,3,2,4,1]=>0000
[-5,3,-2,-4,-1]=>[5,3,2,4,1]=>0000
[-5,-3,2,4,1]=>[5,3,2,4,1]=>0000
[-5,-3,2,4,-1]=>[5,3,2,4,1]=>0000
[-5,-3,2,-4,1]=>[5,3,2,4,1]=>0000
[-5,-3,2,-4,-1]=>[5,3,2,4,1]=>0000
[-5,-3,-2,4,1]=>[5,3,2,4,1]=>0000
[-5,-3,-2,4,-1]=>[5,3,2,4,1]=>0000
[-5,-3,-2,-4,1]=>[5,3,2,4,1]=>0000
[-5,-3,-2,-4,-1]=>[5,3,2,4,1]=>0000
[5,3,4,1,2]=>[5,3,4,1,2]=>0000
[5,3,4,1,-2]=>[5,3,4,1,2]=>0000
[5,3,4,-1,2]=>[5,3,4,1,2]=>0000
[5,3,4,-1,-2]=>[5,3,4,1,2]=>0000
[5,3,-4,1,2]=>[5,3,4,1,2]=>0000
[5,3,-4,1,-2]=>[5,3,4,1,2]=>0000
[5,3,-4,-1,2]=>[5,3,4,1,2]=>0000
[5,3,-4,-1,-2]=>[5,3,4,1,2]=>0000
[5,-3,4,1,2]=>[5,3,4,1,2]=>0000
[5,-3,4,1,-2]=>[5,3,4,1,2]=>0000
[5,-3,4,-1,2]=>[5,3,4,1,2]=>0000
[5,-3,4,-1,-2]=>[5,3,4,1,2]=>0000
[5,-3,-4,1,2]=>[5,3,4,1,2]=>0000
[5,-3,-4,1,-2]=>[5,3,4,1,2]=>0000
[5,-3,-4,-1,2]=>[5,3,4,1,2]=>0000
[5,-3,-4,-1,-2]=>[5,3,4,1,2]=>0000
[-5,3,4,1,2]=>[5,3,4,1,2]=>0000
[-5,3,4,1,-2]=>[5,3,4,1,2]=>0000
[-5,3,4,-1,2]=>[5,3,4,1,2]=>0000
[-5,3,4,-1,-2]=>[5,3,4,1,2]=>0000
[-5,3,-4,1,2]=>[5,3,4,1,2]=>0000
[-5,3,-4,1,-2]=>[5,3,4,1,2]=>0000
[-5,3,-4,-1,2]=>[5,3,4,1,2]=>0000
[-5,3,-4,-1,-2]=>[5,3,4,1,2]=>0000
[-5,-3,4,1,2]=>[5,3,4,1,2]=>0000
[-5,-3,4,1,-2]=>[5,3,4,1,2]=>0000
[-5,-3,4,-1,2]=>[5,3,4,1,2]=>0000
[-5,-3,4,-1,-2]=>[5,3,4,1,2]=>0000
[-5,-3,-4,1,2]=>[5,3,4,1,2]=>0000
[-5,-3,-4,1,-2]=>[5,3,4,1,2]=>0000
[-5,-3,-4,-1,2]=>[5,3,4,1,2]=>0000
[-5,-3,-4,-1,-2]=>[5,3,4,1,2]=>0000
[5,3,4,2,1]=>[5,3,4,2,1]=>0000
[5,3,4,2,-1]=>[5,3,4,2,1]=>0000
[5,3,4,-2,1]=>[5,3,4,2,1]=>0000
[5,3,4,-2,-1]=>[5,3,4,2,1]=>0000
[5,3,-4,2,1]=>[5,3,4,2,1]=>0000
[5,3,-4,2,-1]=>[5,3,4,2,1]=>0000
[5,3,-4,-2,1]=>[5,3,4,2,1]=>0000
[5,3,-4,-2,-1]=>[5,3,4,2,1]=>0000
[5,-3,4,2,1]=>[5,3,4,2,1]=>0000
[5,-3,4,2,-1]=>[5,3,4,2,1]=>0000
[5,-3,4,-2,1]=>[5,3,4,2,1]=>0000
[5,-3,4,-2,-1]=>[5,3,4,2,1]=>0000
[5,-3,-4,2,1]=>[5,3,4,2,1]=>0000
[5,-3,-4,2,-1]=>[5,3,4,2,1]=>0000
[5,-3,-4,-2,1]=>[5,3,4,2,1]=>0000
[5,-3,-4,-2,-1]=>[5,3,4,2,1]=>0000
[-5,3,4,2,1]=>[5,3,4,2,1]=>0000
[-5,3,4,2,-1]=>[5,3,4,2,1]=>0000
[-5,3,4,-2,1]=>[5,3,4,2,1]=>0000
[-5,3,4,-2,-1]=>[5,3,4,2,1]=>0000
[-5,3,-4,2,1]=>[5,3,4,2,1]=>0000
[-5,3,-4,2,-1]=>[5,3,4,2,1]=>0000
[-5,3,-4,-2,1]=>[5,3,4,2,1]=>0000
[-5,3,-4,-2,-1]=>[5,3,4,2,1]=>0000
[-5,-3,4,2,1]=>[5,3,4,2,1]=>0000
[-5,-3,4,2,-1]=>[5,3,4,2,1]=>0000
[-5,-3,4,-2,1]=>[5,3,4,2,1]=>0000
[-5,-3,4,-2,-1]=>[5,3,4,2,1]=>0000
[-5,-3,-4,2,1]=>[5,3,4,2,1]=>0000
[-5,-3,-4,2,-1]=>[5,3,4,2,1]=>0000
[-5,-3,-4,-2,1]=>[5,3,4,2,1]=>0000
[-5,-3,-4,-2,-1]=>[5,3,4,2,1]=>0000
[5,4,1,2,3]=>[5,4,1,2,3]=>0000
[5,4,1,2,-3]=>[5,4,1,2,3]=>0000
[5,4,1,-2,3]=>[5,4,1,2,3]=>0000
[5,4,1,-2,-3]=>[5,4,1,2,3]=>0000
[5,4,-1,2,3]=>[5,4,1,2,3]=>0000
[5,4,-1,2,-3]=>[5,4,1,2,3]=>0000
[5,4,-1,-2,3]=>[5,4,1,2,3]=>0000
[5,4,-1,-2,-3]=>[5,4,1,2,3]=>0000
[5,-4,1,2,3]=>[5,4,1,2,3]=>0000
[5,-4,1,2,-3]=>[5,4,1,2,3]=>0000
[5,-4,1,-2,3]=>[5,4,1,2,3]=>0000
[5,-4,1,-2,-3]=>[5,4,1,2,3]=>0000
[5,-4,-1,2,3]=>[5,4,1,2,3]=>0000
[5,-4,-1,2,-3]=>[5,4,1,2,3]=>0000
[5,-4,-1,-2,3]=>[5,4,1,2,3]=>0000
[5,-4,-1,-2,-3]=>[5,4,1,2,3]=>0000
[-5,4,1,2,3]=>[5,4,1,2,3]=>0000
[-5,4,1,2,-3]=>[5,4,1,2,3]=>0000
[-5,4,1,-2,3]=>[5,4,1,2,3]=>0000
[-5,4,1,-2,-3]=>[5,4,1,2,3]=>0000
[-5,4,-1,2,3]=>[5,4,1,2,3]=>0000
[-5,4,-1,2,-3]=>[5,4,1,2,3]=>0000
[-5,4,-1,-2,3]=>[5,4,1,2,3]=>0000
[-5,4,-1,-2,-3]=>[5,4,1,2,3]=>0000
[-5,-4,1,2,3]=>[5,4,1,2,3]=>0000
[-5,-4,1,2,-3]=>[5,4,1,2,3]=>0000
[-5,-4,1,-2,3]=>[5,4,1,2,3]=>0000
[-5,-4,1,-2,-3]=>[5,4,1,2,3]=>0000
[-5,-4,-1,2,3]=>[5,4,1,2,3]=>0000
[-5,-4,-1,2,-3]=>[5,4,1,2,3]=>0000
[-5,-4,-1,-2,3]=>[5,4,1,2,3]=>0000
[-5,-4,-1,-2,-3]=>[5,4,1,2,3]=>0000
[5,4,1,3,2]=>[5,4,1,3,2]=>0000
[5,4,1,3,-2]=>[5,4,1,3,2]=>0000
[5,4,1,-3,2]=>[5,4,1,3,2]=>0000
[5,4,1,-3,-2]=>[5,4,1,3,2]=>0000
[5,4,-1,3,2]=>[5,4,1,3,2]=>0000
[5,4,-1,3,-2]=>[5,4,1,3,2]=>0000
[5,4,-1,-3,2]=>[5,4,1,3,2]=>0000
[5,4,-1,-3,-2]=>[5,4,1,3,2]=>0000
[5,-4,1,3,2]=>[5,4,1,3,2]=>0000
[5,-4,1,3,-2]=>[5,4,1,3,2]=>0000
[5,-4,1,-3,2]=>[5,4,1,3,2]=>0000
[5,-4,1,-3,-2]=>[5,4,1,3,2]=>0000
[5,-4,-1,3,2]=>[5,4,1,3,2]=>0000
[5,-4,-1,3,-2]=>[5,4,1,3,2]=>0000
[5,-4,-1,-3,2]=>[5,4,1,3,2]=>0000
[5,-4,-1,-3,-2]=>[5,4,1,3,2]=>0000
[-5,4,1,3,2]=>[5,4,1,3,2]=>0000
[-5,4,1,3,-2]=>[5,4,1,3,2]=>0000
[-5,4,1,-3,2]=>[5,4,1,3,2]=>0000
[-5,4,1,-3,-2]=>[5,4,1,3,2]=>0000
[-5,4,-1,3,2]=>[5,4,1,3,2]=>0000
[-5,4,-1,3,-2]=>[5,4,1,3,2]=>0000
[-5,4,-1,-3,2]=>[5,4,1,3,2]=>0000
[-5,4,-1,-3,-2]=>[5,4,1,3,2]=>0000
[-5,-4,1,3,2]=>[5,4,1,3,2]=>0000
[-5,-4,1,3,-2]=>[5,4,1,3,2]=>0000
[-5,-4,1,-3,2]=>[5,4,1,3,2]=>0000
[-5,-4,1,-3,-2]=>[5,4,1,3,2]=>0000
[-5,-4,-1,3,2]=>[5,4,1,3,2]=>0000
[-5,-4,-1,3,-2]=>[5,4,1,3,2]=>0000
[-5,-4,-1,-3,2]=>[5,4,1,3,2]=>0000
[-5,-4,-1,-3,-2]=>[5,4,1,3,2]=>0000
[5,4,2,1,3]=>[5,4,2,1,3]=>0000
[5,4,2,1,-3]=>[5,4,2,1,3]=>0000
[5,4,2,-1,3]=>[5,4,2,1,3]=>0000
[5,4,2,-1,-3]=>[5,4,2,1,3]=>0000
[5,4,-2,1,3]=>[5,4,2,1,3]=>0000
[5,4,-2,1,-3]=>[5,4,2,1,3]=>0000
[5,4,-2,-1,3]=>[5,4,2,1,3]=>0000
[5,4,-2,-1,-3]=>[5,4,2,1,3]=>0000
[5,-4,2,1,3]=>[5,4,2,1,3]=>0000
[5,-4,2,1,-3]=>[5,4,2,1,3]=>0000
[5,-4,2,-1,3]=>[5,4,2,1,3]=>0000
[5,-4,2,-1,-3]=>[5,4,2,1,3]=>0000
[5,-4,-2,1,3]=>[5,4,2,1,3]=>0000
[5,-4,-2,1,-3]=>[5,4,2,1,3]=>0000
[5,-4,-2,-1,3]=>[5,4,2,1,3]=>0000
[5,-4,-2,-1,-3]=>[5,4,2,1,3]=>0000
[-5,4,2,1,3]=>[5,4,2,1,3]=>0000
[-5,4,2,1,-3]=>[5,4,2,1,3]=>0000
[-5,4,2,-1,3]=>[5,4,2,1,3]=>0000
[-5,4,2,-1,-3]=>[5,4,2,1,3]=>0000
[-5,4,-2,1,3]=>[5,4,2,1,3]=>0000
[-5,4,-2,1,-3]=>[5,4,2,1,3]=>0000
[-5,4,-2,-1,3]=>[5,4,2,1,3]=>0000
[-5,4,-2,-1,-3]=>[5,4,2,1,3]=>0000
[-5,-4,2,1,3]=>[5,4,2,1,3]=>0000
[-5,-4,2,1,-3]=>[5,4,2,1,3]=>0000
[-5,-4,2,-1,3]=>[5,4,2,1,3]=>0000
[-5,-4,2,-1,-3]=>[5,4,2,1,3]=>0000
[-5,-4,-2,1,3]=>[5,4,2,1,3]=>0000
[-5,-4,-2,1,-3]=>[5,4,2,1,3]=>0000
[-5,-4,-2,-1,3]=>[5,4,2,1,3]=>0000
[-5,-4,-2,-1,-3]=>[5,4,2,1,3]=>0000
[5,4,2,3,1]=>[5,4,2,3,1]=>0000
[5,4,2,3,-1]=>[5,4,2,3,1]=>0000
[5,4,2,-3,1]=>[5,4,2,3,1]=>0000
[5,4,2,-3,-1]=>[5,4,2,3,1]=>0000
[5,4,-2,3,1]=>[5,4,2,3,1]=>0000
[5,4,-2,3,-1]=>[5,4,2,3,1]=>0000
[5,4,-2,-3,1]=>[5,4,2,3,1]=>0000
[5,4,-2,-3,-1]=>[5,4,2,3,1]=>0000
[5,-4,2,3,1]=>[5,4,2,3,1]=>0000
[5,-4,2,3,-1]=>[5,4,2,3,1]=>0000
[5,-4,2,-3,1]=>[5,4,2,3,1]=>0000
[5,-4,2,-3,-1]=>[5,4,2,3,1]=>0000
[5,-4,-2,3,1]=>[5,4,2,3,1]=>0000
[5,-4,-2,3,-1]=>[5,4,2,3,1]=>0000
[5,-4,-2,-3,1]=>[5,4,2,3,1]=>0000
[5,-4,-2,-3,-1]=>[5,4,2,3,1]=>0000
[-5,4,2,3,1]=>[5,4,2,3,1]=>0000
[-5,4,2,3,-1]=>[5,4,2,3,1]=>0000
[-5,4,2,-3,1]=>[5,4,2,3,1]=>0000
[-5,4,2,-3,-1]=>[5,4,2,3,1]=>0000
[-5,4,-2,3,1]=>[5,4,2,3,1]=>0000
[-5,4,-2,3,-1]=>[5,4,2,3,1]=>0000
[-5,4,-2,-3,1]=>[5,4,2,3,1]=>0000
[-5,4,-2,-3,-1]=>[5,4,2,3,1]=>0000
[-5,-4,2,3,1]=>[5,4,2,3,1]=>0000
[-5,-4,2,3,-1]=>[5,4,2,3,1]=>0000
[-5,-4,2,-3,1]=>[5,4,2,3,1]=>0000
[-5,-4,2,-3,-1]=>[5,4,2,3,1]=>0000
[-5,-4,-2,3,1]=>[5,4,2,3,1]=>0000
[-5,-4,-2,3,-1]=>[5,4,2,3,1]=>0000
[-5,-4,-2,-3,1]=>[5,4,2,3,1]=>0000
[-5,-4,-2,-3,-1]=>[5,4,2,3,1]=>0000
[5,4,3,1,2]=>[5,4,3,1,2]=>0000
[5,4,3,1,-2]=>[5,4,3,1,2]=>0000
[5,4,3,-1,2]=>[5,4,3,1,2]=>0000
[5,4,3,-1,-2]=>[5,4,3,1,2]=>0000
[5,4,-3,1,2]=>[5,4,3,1,2]=>0000
[5,4,-3,1,-2]=>[5,4,3,1,2]=>0000
[5,4,-3,-1,2]=>[5,4,3,1,2]=>0000
[5,4,-3,-1,-2]=>[5,4,3,1,2]=>0000
[5,-4,3,1,2]=>[5,4,3,1,2]=>0000
[5,-4,3,1,-2]=>[5,4,3,1,2]=>0000
[5,-4,3,-1,2]=>[5,4,3,1,2]=>0000
[5,-4,3,-1,-2]=>[5,4,3,1,2]=>0000
[5,-4,-3,1,2]=>[5,4,3,1,2]=>0000
[5,-4,-3,1,-2]=>[5,4,3,1,2]=>0000
[5,-4,-3,-1,2]=>[5,4,3,1,2]=>0000
[5,-4,-3,-1,-2]=>[5,4,3,1,2]=>0000
[-5,4,3,1,2]=>[5,4,3,1,2]=>0000
[-5,4,3,1,-2]=>[5,4,3,1,2]=>0000
[-5,4,3,-1,2]=>[5,4,3,1,2]=>0000
[-5,4,3,-1,-2]=>[5,4,3,1,2]=>0000
[-5,4,-3,1,2]=>[5,4,3,1,2]=>0000
[-5,4,-3,1,-2]=>[5,4,3,1,2]=>0000
[-5,4,-3,-1,2]=>[5,4,3,1,2]=>0000
[-5,4,-3,-1,-2]=>[5,4,3,1,2]=>0000
[-5,-4,3,1,2]=>[5,4,3,1,2]=>0000
[-5,-4,3,1,-2]=>[5,4,3,1,2]=>0000
[-5,-4,3,-1,2]=>[5,4,3,1,2]=>0000
[-5,-4,3,-1,-2]=>[5,4,3,1,2]=>0000
[-5,-4,-3,1,2]=>[5,4,3,1,2]=>0000
[-5,-4,-3,1,-2]=>[5,4,3,1,2]=>0000
[-5,-4,-3,-1,2]=>[5,4,3,1,2]=>0000
[-5,-4,-3,-1,-2]=>[5,4,3,1,2]=>0000
[5,4,3,2,1]=>[5,4,3,2,1]=>0000
[5,4,3,2,-1]=>[5,4,3,2,1]=>0000
[5,4,3,-2,1]=>[5,4,3,2,1]=>0000
[5,4,3,-2,-1]=>[5,4,3,2,1]=>0000
[5,4,-3,2,1]=>[5,4,3,2,1]=>0000
[5,4,-3,2,-1]=>[5,4,3,2,1]=>0000
[5,4,-3,-2,1]=>[5,4,3,2,1]=>0000
[5,4,-3,-2,-1]=>[5,4,3,2,1]=>0000
[5,-4,3,2,1]=>[5,4,3,2,1]=>0000
[5,-4,3,2,-1]=>[5,4,3,2,1]=>0000
[5,-4,3,-2,1]=>[5,4,3,2,1]=>0000
[5,-4,3,-2,-1]=>[5,4,3,2,1]=>0000
[5,-4,-3,2,1]=>[5,4,3,2,1]=>0000
[5,-4,-3,2,-1]=>[5,4,3,2,1]=>0000
[5,-4,-3,-2,1]=>[5,4,3,2,1]=>0000
[5,-4,-3,-2,-1]=>[5,4,3,2,1]=>0000
[-5,4,3,2,1]=>[5,4,3,2,1]=>0000
[-5,4,3,2,-1]=>[5,4,3,2,1]=>0000
[-5,4,3,-2,1]=>[5,4,3,2,1]=>0000
[-5,4,3,-2,-1]=>[5,4,3,2,1]=>0000
[-5,4,-3,2,1]=>[5,4,3,2,1]=>0000
[-5,4,-3,2,-1]=>[5,4,3,2,1]=>0000
[-5,4,-3,-2,1]=>[5,4,3,2,1]=>0000
[-5,4,-3,-2,-1]=>[5,4,3,2,1]=>0000
[-5,-4,3,2,1]=>[5,4,3,2,1]=>0000
[-5,-4,3,2,-1]=>[5,4,3,2,1]=>0000
[-5,-4,3,-2,1]=>[5,4,3,2,1]=>0000
[-5,-4,3,-2,-1]=>[5,4,3,2,1]=>0000
[-5,-4,-3,2,1]=>[5,4,3,2,1]=>0000
[-5,-4,-3,2,-1]=>[5,4,3,2,1]=>0000
[-5,-4,-3,-2,1]=>[5,4,3,2,1]=>0000
[-5,-4,-3,-2,-1]=>[5,4,3,2,1]=>0000
[1,4,5,6,2,3]=>[1,4,5,6,2,3]=>10000
[5,6,7,8,3,4,1,2]=>[5,6,7,8,3,4,1,2]=>0000000
[-6,-4,-2,1,3,5]=>[6,4,2,1,3,5]=>00000
[4,6,-5,-2,1,3]=>[4,6,5,2,1,3]=>00000
[2,6,-4,-3,1,5]=>[2,6,4,3,1,5]=>00000
[-6,-5,-3,2,-4,1]=>[6,5,3,2,4,1]=>00000
[2,-5,6,-4,1,3]=>[2,5,6,4,1,3]=>00000
[-6,-5,-4,3,1,2]=>[6,5,4,3,1,2]=>00000
[-6,-5,1,-4,2,3]=>[6,5,1,4,2,3]=>00000
[-6,-5,2,3,-4,1]=>[6,5,2,3,4,1]=>00000
[2,-5,-4,6,1,3]=>[2,5,4,6,1,3]=>00000
[5,6,-4,3,1,2]=>[5,6,4,3,1,2]=>00000
[3,2,-6,-5,-4,1]=>[3,2,6,5,4,1]=>00000
[5,6,2,3,-4,1]=>[5,6,2,3,4,1]=>00000
[-2,1,-4,3,-6,5]=>[2,1,4,3,6,5]=>01010
[-2,1,4,-6,-5,3]=>[2,1,4,6,5,3]=>01000
[2,-4,-3,1,-6,5]=>[2,4,3,1,6,5]=>00010
[-5,3,6,1,2,4]=>[5,3,6,1,2,4]=>00000
[4,6,-3,1,2,5]=>[4,6,3,1,2,5]=>00000
[2,6,-5,1,3,4]=>[2,6,5,1,3,4]=>00000
[5,6,1,-3,2,4]=>[5,6,1,3,2,4]=>00000
[3,4,1,2,-6,5]=>[3,4,1,2,6,5]=>00010
[-2,-5,1,6,3,4]=>[2,5,1,6,3,4]=>00000
[-8,-6,-4,-2,1,3,5,7]=>[8,6,4,2,1,3,5,7]=>0000000
[-3,6,8,-5,1,2,4,7]=>[3,6,8,5,1,2,4,7]=>0000000
[5,6,7,1,8,2,3,4]=>[5,6,7,1,8,2,3,4]=>0000000
[8,-7,-6,3,1,2,4,5]=>[8,7,6,3,1,2,4,5]=>0000000
[-5,2,8,-7,1,3,4,6]=>[5,2,8,7,1,3,4,6]=>0000000
[-7,-5,3,8,1,2,4,6]=>[7,5,3,8,1,2,4,6]=>0000000
[5,-7,-4,8,1,2,3,6]=>[5,7,4,8,1,2,3,6]=>0000000
[4,8,-7,-2,1,3,5,6]=>[4,8,7,2,1,3,5,6]=>0000000
[-2,1,-4,3,-6,5,-8,7]=>[2,1,4,3,6,5,8,7]=>0101010
[3,4,1,2,-6,5,-8,7]=>[3,4,1,2,6,5,8,7]=>0001010
[-4,6,7,8,1,2,3,5]=>[4,6,7,8,1,2,3,5]=>0000000
[1,6,7,-3,2,8,4,5]=>[1,6,7,3,2,8,4,5]=>1000000
[-6,-2,1,3,7,8,4,5]=>[6,2,1,3,7,8,4,5]=>0000000
[-2,-7,1,8,3,-5,4,6]=>[2,7,1,8,3,5,4,6]=>0000000
[7,8,1,-3,2,-5,4,6]=>[7,8,1,3,2,5,4,6]=>0000000
[5,1,7,8,2,-4,3,6]=>[5,1,7,8,2,4,3,6]=>0000000
[5,6,7,8,3,1,2,4]=>[5,6,7,8,3,1,2,4]=>0000000
[5,6,7,8,4,1,2,3]=>[5,6,7,8,4,1,2,3]=>0000000
[5,6,7,8,1,4,2,3]=>[5,6,7,8,1,4,2,3]=>0000000
[-3,2,6,-5,1,4]=>[3,2,6,5,1,4]=>00000
[-6,2,4,-5,-3,1]=>[6,2,4,5,3,1]=>00000
[6,4,-5,-3,1,2]=>[6,4,5,3,1,2]=>00000
[3,-5,6,-4,1,2]=>[3,5,6,4,1,2]=>00000
[-8,2,4,-6,-5,-3,1,7]=>[8,2,4,6,5,3,1,7]=>0000000
[-8,-7,2,4,-5,-3,1,6]=>[8,7,2,4,5,3,1,6]=>0000000
[8,2,4,6,-7,-5,-3,1]=>[8,2,4,6,7,5,3,1]=>0000000
[6,8,2,3,-7,-5,-4,1]=>[6,8,2,3,7,5,4,1]=>0000000
[5,8,-7,-3,2,-6,-4,1]=>[5,8,7,3,2,6,4,1]=>0000000
[4,8,-7,-6,3,1,2,5]=>[4,8,7,6,3,1,2,5]=>0000000
[5,-7,-4,3,8,1,2,6]=>[5,7,4,3,8,1,2,6]=>0000000
[5,-8,-7,3,-4,1,2,6]=>[5,8,7,3,4,1,2,6]=>0000000
[4,-7,8,-5,-3,1,2,6]=>[4,7,8,5,3,1,2,6]=>0000000
[4,-8,6,-7,-5,-3,1,2]=>[4,8,6,7,5,3,1,2]=>0000000
[3,8,-7,6,-5,-4,1,2]=>[3,8,7,6,5,4,1,2]=>0000000
[3,8,-7,-6,5,-4,1,2]=>[3,8,7,6,5,4,1,2]=>0000000
[7,8,4,5,-6,-3,1,2]=>[7,8,4,5,6,3,1,2]=>0000000
[-8,-7,2,4,-6,1,3,5]=>[8,7,2,4,6,1,3,5]=>0000000
[-4,3,-7,8,-6,1,2,5]=>[4,3,7,8,6,1,2,5]=>0000000
[6,7,8,1,3,-5,2,4]=>[6,7,8,1,3,5,2,4]=>0000000
[6,7,8,2,3,4,-5,1]=>[6,7,8,2,3,4,5,1]=>0000000
[6,7,8,-5,2,1,3,4]=>[6,7,8,5,2,1,3,4]=>0000000
[5,-8,-7,2,-4,1,3,6]=>[5,8,7,2,4,1,3,6]=>0000000
[3,-8,-7,2,-6,1,4,5]=>[3,8,7,2,6,1,4,5]=>0000000
[-7,-3,2,8,-5,1,4,6]=>[7,3,2,8,5,1,4,6]=>0000000
[2,4,7,8,-3,1,5,6]=>[2,4,7,8,3,1,5,6]=>0000000
[-8,-7,-3,2,5,-6,1,4]=>[8,7,3,2,5,6,1,4]=>0000000
[-5,8,-7,2,-6,-4,1,3]=>[5,8,7,2,6,4,1,3]=>0000000
[-8,-6,-3,-7,-5,1,2,4]=>[8,6,3,7,5,1,2,4]=>0000000
[-8,2,6,-7,-5,1,3,4]=>[8,2,6,7,5,1,3,4]=>0000000
[-8,-7,2,5,-6,1,3,4]=>[8,7,2,5,6,1,3,4]=>0000000
[6,7,8,5,-4,1,2,3]=>[6,7,8,5,4,1,2,3]=>0000000
[6,7,8,1,4,-5,2,3]=>[6,7,8,1,4,5,2,3]=>0000000
[-4,7,8,-6,1,-5,2,3]=>[4,7,8,6,1,5,2,3]=>0000000
[-8,-7,-5,2,-6,1,3,4]=>[8,7,5,2,6,1,3,4]=>0000000
[-6,4,7,8,3,-5,1,2]=>[6,4,7,8,3,5,1,2]=>0000000
[3,6,7,8,-4,2,-5,1]=>[3,6,7,8,4,2,5,1]=>0000000
[-5,2,-3,6,1,4]=>[5,2,3,6,1,4]=>00000
[2,-6,4,-3,-5,1]=>[2,6,4,3,5,1]=>00000
[4,-6,1,-3,-5,2]=>[4,6,1,3,5,2]=>00000
[5,6,3,1,-4,2]=>[5,6,3,1,4,2]=>00000
[5,6,-4,3,1,2,-8,7]=>[5,6,4,3,1,2,8,7]=>0000010
[3,-7,2,-5,-4,8,1,6]=>[3,7,2,5,4,8,1,6]=>0000000
[-7,3,8,-5,1,-4,2,6]=>[7,3,8,5,1,4,2,6]=>0000000
[-2,1,-7,4,-5,8,3,6]=>[2,1,7,4,5,8,3,6]=>0100000
[-2,1,4,-8,6,-5,-7,3]=>[2,1,4,8,6,5,7,3]=>0100000
[7,8,-4,3,-6,5,1,2]=>[7,8,4,3,6,5,1,2]=>0000000
[3,5,-8,2,-7,-4,-6,1]=>[3,5,8,2,7,4,6,1]=>0000000
[7,8,-3,-6,4,1,-5,2]=>[7,8,3,6,4,1,5,2]=>0000000
[1,6,7,8,3,4,-5,2]=>[1,6,7,8,3,4,5,2]=>1000000
[7,8,3,1,-6,5,-4,2]=>[7,8,3,1,6,5,4,2]=>0000000
[7,8,1,4,-6,-3,2,5]=>[7,8,1,4,6,3,2,5]=>0000000
[3,6,7,8,-5,1,2,4]=>[3,6,7,8,5,1,2,4]=>0000000
[3,8,-7,-6,-5,2,1,4]=>[3,8,7,6,5,2,1,4]=>0000000
[7,8,-3,-6,2,4,-5,1]=>[7,8,3,6,2,4,5,1]=>0000000
[5,6,7,8,3,4,-2,1]=>[5,6,7,8,3,4,2,1]=>0000000
[2,6,7,8,-5,3,1,4]=>[2,6,7,8,5,3,1,4]=>0000000
[-7,2,4,8,-6,-3,1,5]=>[7,2,4,8,6,3,1,5]=>0000000
[6,2,-3,1,7,8,4,5]=>[6,2,3,1,7,8,4,5]=>0000000
[-2,1,-4,3,6,-8,-7,5]=>[2,1,4,3,6,8,7,5]=>0101000
[3,4,1,2,6,-8,-7,5]=>[3,4,1,2,6,8,7,5]=>0001000
[2,-8,6,-3,1,-5,-7,4]=>[2,8,6,3,1,5,7,4]=>0000000
[-7,2,-3,8,5,1,-6,4]=>[7,2,3,8,5,1,6,4]=>0000000
[5,2,-8,3,-7,-4,-6,1]=>[5,2,8,3,7,4,6,1]=>0000000
[1,6,7,8,4,2,-5,3]=>[1,6,7,8,4,2,5,3]=>1000000
[2,8,-7,-6,-5,4,1,3]=>[2,8,7,6,5,4,1,3]=>0000000
[7,8,1,-3,-6,5,2,4]=>[7,8,1,3,6,5,2,4]=>0000000
[-2,-7,1,8,-6,5,3,4]=>[2,7,1,8,6,5,3,4]=>0000000
[4,3,2,-8,-7,-6,-5,1]=>[4,3,2,8,7,6,5,1]=>0000000
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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