[0 1 1 1 1] : 1
[0 -1 1 1 1] : 5
[0 1 -1 1 1] : 4
[0 -1 -1 1 1] : 11
[0 1 1 -1 1] : 3
[0 -1 1 -1 1] : 10
[0 1 -1 -1 1] : 7
[0 -1 -1 -1 1] : 15
[0 1 1 1 -1] : 2
[0 -1 1 1 -1] : 8
[0 1 -1 1 -1] : 6
[0 -1 -1 1 -1] : 14
[0 1 1 -1 -1] : 4
[0 -1 1 -1 -1] : 12
[0 1 -1 -1 -1] : 8
[0 -1 -1 -1 -1] : 16
[1 0 1 1 1] : 2
[-1 0 1 1 1] : 1
[1 0 -1 1 1] : 8
[-1 0 -1 1 1] : 4
[1 0 1 -1 1] : 6
[-1 0 1 -1 1] : 3
[1 0 -1 -1 1] : 14
[-1 0 -1 -1 1] : 7
[1 0 1 1 -1] : 4
[-1 0 1 1 -1] : 2
[1 0 -1 1 -1] : 12
[-1 0 -1 1 -1] : 6
[1 0 1 -1 -1] : 8
[-1 0 1 -1 -1] : 4
[1 0 -1 -1 -1] : 16
[-1 0 -1 -1 -1] : 8
[1 1 0 1 1] : 4
[-1 1 0 1 1] : 3
[1 -1 0 1 1] : 2
[-1 -1 0 1 1] : 1
[1 1 0 -1 1] : 12
[-1 1 0 -1 1] : 9
[1 -1 0 -1 1] : 6
[-1 -1 0 -1 1] : 3
[1 1 0 1 -1] : 8
[-1 1 0 1 -1] : 6
[1 -1 0 1 -1] : 4
[-1 -1 0 1 -1] : 2
[1 1 0 -1 -1] : 16
[-1 1 0 -1 -1] : 12
[1 -1 0 -1 -1] : 8
[-1 -1 0 -1 -1] : 4
[1 1 1 0 1] : 8
[-1 1 1 0 1] : 7
[1 -1 1 0 1] : 6
[-1 -1 1 0 1] : 4
[1 1 -1 0 1] : 4
[-1 1 -1 0 1] : 3
[1 -1 -1 0 1] : 2
[-1 -1 -1 0 1] : 1
[1 1 1 0 -1] : 16
[-1 1 1 0 -1] : 14
[1 -1 1 0 -1] : 12
[-1 -1 1 0 -1] : 8
[1 1 -1 0 -1] : 8
[-1 1 -1 0 -1] : 6
[1 -1 -1 0 -1] : 4
[-1 -1 -1 0 -1] : 2
[1 1 1 1 0] : 16
[-1 1 1 1 0] : 15
[1 -1 1 1 0] : 14
[-1 -1 1 1 0] : 11
[1 1 -1 1 0] : 12
[-1 1 -1 1 0] : 10
[1 -1 -1 1 0] : 8
[-1 -1 -1 1 0] : 5
[1 1 1 -1 0] : 8
[-1 1 1 -1 0] : 7
[1 -1 1 -1 0] : 6
[-1 -1 1 -1 0] : 4
[1 1 -1 -1 0] : 4
[-1 1 -1 -1 0] : 3
[1 -1 -1 -1 0] : 2
[-1 -1 -1 -1 0] : 1
sum = 562