- FindStat

Identifier

Mp00267: Signed permutations —signs⟶ Binary words
Mp00097: Binary words —delta morphism⟶ Integer compositions
Mp00184: Integer compositions —to threshold graph⟶ Graphs
St000456: Graphs ⟶ ℤ

Values

[1,-2] => 01 => [1,1] => ([(0,1)],2) => 1

[-1,2] => 10 => [1,1] => ([(0,1)],2) => 1

[2,-1] => 01 => [1,1] => ([(0,1)],2) => 1

[-2,1] => 10 => [1,1] => ([(0,1)],2) => 1

[1,2,-3] => 001 => [2,1] => ([(0,2),(1,2)],3) => 1

[1,-2,3] => 010 => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3

[-1,2,-3] => 101 => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3

[-1,-2,3] => 110 => [2,1] => ([(0,2),(1,2)],3) => 1

[1,3,-2] => 001 => [2,1] => ([(0,2),(1,2)],3) => 1

[1,-3,2] => 010 => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3

[-1,3,-2] => 101 => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3

[-1,-3,2] => 110 => [2,1] => ([(0,2),(1,2)],3) => 1

[2,1,-3] => 001 => [2,1] => ([(0,2),(1,2)],3) => 1

[2,-1,3] => 010 => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3

[-2,1,-3] => 101 => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3

[-2,-1,3] => 110 => [2,1] => ([(0,2),(1,2)],3) => 1

[2,3,-1] => 001 => [2,1] => ([(0,2),(1,2)],3) => 1

[2,-3,1] => 010 => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3

[-2,3,-1] => 101 => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3

[-2,-3,1] => 110 => [2,1] => ([(0,2),(1,2)],3) => 1

[3,1,-2] => 001 => [2,1] => ([(0,2),(1,2)],3) => 1

[3,-1,2] => 010 => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3

[-3,1,-2] => 101 => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3

[-3,-1,2] => 110 => [2,1] => ([(0,2),(1,2)],3) => 1

[3,2,-1] => 001 => [2,1] => ([(0,2),(1,2)],3) => 1

[3,-2,1] => 010 => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3

[-3,2,-1] => 101 => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3

[-3,-2,1] => 110 => [2,1] => ([(0,2),(1,2)],3) => 1

[1,2,3,-4] => 0001 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[1,2,-3,4] => 0010 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[1,-2,3,-4] => 0101 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[1,-2,-3,4] => 0110 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-1,2,3,-4] => 1001 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-1,2,-3,4] => 1010 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[-1,-2,3,-4] => 1101 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[-1,-2,-3,4] => 1110 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[1,2,4,-3] => 0001 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[1,2,-4,3] => 0010 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[1,-2,4,-3] => 0101 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[1,-2,-4,3] => 0110 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-1,2,4,-3] => 1001 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-1,2,-4,3] => 1010 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[-1,-2,4,-3] => 1101 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[-1,-2,-4,3] => 1110 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[1,3,2,-4] => 0001 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[1,3,-2,4] => 0010 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[1,-3,2,-4] => 0101 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[1,-3,-2,4] => 0110 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-1,3,2,-4] => 1001 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-1,3,-2,4] => 1010 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[-1,-3,2,-4] => 1101 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[-1,-3,-2,4] => 1110 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[1,3,4,-2] => 0001 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[1,3,-4,2] => 0010 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[1,-3,4,-2] => 0101 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[1,-3,-4,2] => 0110 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-1,3,4,-2] => 1001 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-1,3,-4,2] => 1010 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[-1,-3,4,-2] => 1101 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[-1,-3,-4,2] => 1110 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[1,4,2,-3] => 0001 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[1,4,-2,3] => 0010 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[1,-4,2,-3] => 0101 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[1,-4,-2,3] => 0110 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-1,4,2,-3] => 1001 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-1,4,-2,3] => 1010 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[-1,-4,2,-3] => 1101 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[-1,-4,-2,3] => 1110 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[1,4,3,-2] => 0001 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[1,4,-3,2] => 0010 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[1,-4,3,-2] => 0101 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[1,-4,-3,2] => 0110 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-1,4,3,-2] => 1001 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-1,4,-3,2] => 1010 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[-1,-4,3,-2] => 1101 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[-1,-4,-3,2] => 1110 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[2,1,3,-4] => 0001 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[2,1,-3,4] => 0010 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[2,-1,3,-4] => 0101 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[2,-1,-3,4] => 0110 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-2,1,3,-4] => 1001 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-2,1,-3,4] => 1010 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[-2,-1,3,-4] => 1101 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[-2,-1,-3,4] => 1110 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[2,1,4,-3] => 0001 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[2,1,-4,3] => 0010 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[2,-1,4,-3] => 0101 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[2,-1,-4,3] => 0110 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-2,1,4,-3] => 1001 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-2,1,-4,3] => 1010 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[-2,-1,4,-3] => 1101 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[-2,-1,-4,3] => 1110 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[2,3,1,-4] => 0001 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[2,3,-1,4] => 0010 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[2,-3,1,-4] => 0101 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[2,-3,-1,4] => 0110 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-2,3,1,-4] => 1001 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-2,3,-1,4] => 1010 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[-2,-3,1,-4] => 1101 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[-2,-3,-1,4] => 1110 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[2,3,4,-1] => 0001 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

>>> Load all 2647 entries. <<<

[2,3,-4,1] => 0010 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[2,-3,4,-1] => 0101 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[2,-3,-4,1] => 0110 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-2,3,4,-1] => 1001 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-2,3,-4,1] => 1010 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[-2,-3,4,-1] => 1101 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[-2,-3,-4,1] => 1110 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[2,4,1,-3] => 0001 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[2,4,-1,3] => 0010 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[2,-4,1,-3] => 0101 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[2,-4,-1,3] => 0110 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-2,4,1,-3] => 1001 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-2,4,-1,3] => 1010 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[-2,-4,1,-3] => 1101 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[-2,-4,-1,3] => 1110 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[2,4,3,-1] => 0001 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[2,4,-3,1] => 0010 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[2,-4,3,-1] => 0101 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[2,-4,-3,1] => 0110 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-2,4,3,-1] => 1001 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-2,4,-3,1] => 1010 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[-2,-4,3,-1] => 1101 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[-2,-4,-3,1] => 1110 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[3,1,2,-4] => 0001 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[3,1,-2,4] => 0010 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[3,-1,2,-4] => 0101 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[3,-1,-2,4] => 0110 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-3,1,2,-4] => 1001 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-3,1,-2,4] => 1010 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[-3,-1,2,-4] => 1101 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[-3,-1,-2,4] => 1110 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[3,1,4,-2] => 0001 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[3,1,-4,2] => 0010 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[3,-1,4,-2] => 0101 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[3,-1,-4,2] => 0110 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-3,1,4,-2] => 1001 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-3,1,-4,2] => 1010 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[-3,-1,4,-2] => 1101 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[-3,-1,-4,2] => 1110 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[3,2,1,-4] => 0001 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[3,2,-1,4] => 0010 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[3,-2,1,-4] => 0101 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[3,-2,-1,4] => 0110 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-3,2,1,-4] => 1001 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-3,2,-1,4] => 1010 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[-3,-2,1,-4] => 1101 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[-3,-2,-1,4] => 1110 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[3,2,4,-1] => 0001 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[3,2,-4,1] => 0010 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[3,-2,4,-1] => 0101 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[3,-2,-4,1] => 0110 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-3,2,4,-1] => 1001 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-3,2,-4,1] => 1010 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[-3,-2,4,-1] => 1101 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[-3,-2,-4,1] => 1110 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[3,4,1,-2] => 0001 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[3,4,-1,2] => 0010 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[3,-4,1,-2] => 0101 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[3,-4,-1,2] => 0110 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-3,4,1,-2] => 1001 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-3,4,-1,2] => 1010 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[-3,-4,1,-2] => 1101 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[-3,-4,-1,2] => 1110 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[3,4,2,-1] => 0001 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[3,4,-2,1] => 0010 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[3,-4,2,-1] => 0101 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[3,-4,-2,1] => 0110 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-3,4,2,-1] => 1001 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-3,4,-2,1] => 1010 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[-3,-4,2,-1] => 1101 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[-3,-4,-2,1] => 1110 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[4,1,2,-3] => 0001 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[4,1,-2,3] => 0010 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[4,-1,2,-3] => 0101 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[4,-1,-2,3] => 0110 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-4,1,2,-3] => 1001 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-4,1,-2,3] => 1010 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[-4,-1,2,-3] => 1101 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[-4,-1,-2,3] => 1110 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[4,1,3,-2] => 0001 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[4,1,-3,2] => 0010 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[4,-1,3,-2] => 0101 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[4,-1,-3,2] => 0110 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-4,1,3,-2] => 1001 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-4,1,-3,2] => 1010 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[-4,-1,3,-2] => 1101 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[-4,-1,-3,2] => 1110 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[4,2,1,-3] => 0001 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[4,2,-1,3] => 0010 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[4,-2,1,-3] => 0101 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[4,-2,-1,3] => 0110 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-4,2,1,-3] => 1001 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-4,2,-1,3] => 1010 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[-4,-2,1,-3] => 1101 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[-4,-2,-1,3] => 1110 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[4,2,3,-1] => 0001 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[4,2,-3,1] => 0010 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[4,-2,3,-1] => 0101 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[4,-2,-3,1] => 0110 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-4,2,3,-1] => 1001 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-4,2,-3,1] => 1010 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[-4,-2,3,-1] => 1101 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[-4,-2,-3,1] => 1110 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[4,3,1,-2] => 0001 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[4,3,-1,2] => 0010 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[4,-3,1,-2] => 0101 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[4,-3,-1,2] => 0110 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-4,3,1,-2] => 1001 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-4,3,-1,2] => 1010 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[-4,-3,1,-2] => 1101 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[-4,-3,-1,2] => 1110 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[4,3,2,-1] => 0001 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[4,3,-2,1] => 0010 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[4,-3,2,-1] => 0101 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[4,-3,-2,1] => 0110 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-4,3,2,-1] => 1001 => [1,2,1] => ([(0,3),(1,2),(1,3),(2,3)],4) => 2

[-4,3,-2,1] => 1010 => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 6

[-4,-3,2,-1] => 1101 => [2,1,1] => ([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4

[-4,-3,-2,1] => 1110 => [3,1] => ([(0,3),(1,3),(2,3)],4) => 1

[1,2,3,4,-5] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,2,3,-4,5] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[1,2,-3,4,-5] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[1,2,-3,-4,5] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[1,-2,3,4,-5] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[1,-2,3,-4,5] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[1,-2,-3,4,-5] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[1,-2,-3,-4,5] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,2,3,4,-5] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,2,3,-4,5] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-1,2,-3,4,-5] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-1,2,-3,-4,5] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-1,-2,3,4,-5] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-1,-2,3,-4,5] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-1,-2,-3,4,-5] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-1,-2,-3,-4,5] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,2,3,5,-4] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,2,3,-5,4] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[1,2,-3,5,-4] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[1,2,-3,-5,4] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[1,-2,3,5,-4] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[1,-2,3,-5,4] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[1,-2,-3,5,-4] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[1,-2,-3,-5,4] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,2,3,5,-4] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,2,3,-5,4] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-1,2,-3,5,-4] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-1,2,-3,-5,4] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-1,-2,3,5,-4] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-1,-2,3,-5,4] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-1,-2,-3,5,-4] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-1,-2,-3,-5,4] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,2,4,3,-5] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,2,4,-3,5] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[1,2,-4,3,-5] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[1,2,-4,-3,5] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[1,-2,4,3,-5] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[1,-2,4,-3,5] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[1,-2,-4,3,-5] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[1,-2,-4,-3,5] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,2,4,3,-5] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,2,4,-3,5] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-1,2,-4,3,-5] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-1,2,-4,-3,5] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-1,-2,4,3,-5] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-1,-2,4,-3,5] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-1,-2,-4,3,-5] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-1,-2,-4,-3,5] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,2,4,5,-3] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,2,4,-5,3] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[1,2,-4,5,-3] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[1,2,-4,-5,3] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[1,-2,4,5,-3] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[1,-2,4,-5,3] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[1,-2,-4,5,-3] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[1,-2,-4,-5,3] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,2,4,5,-3] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,2,4,-5,3] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-1,2,-4,5,-3] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-1,2,-4,-5,3] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-1,-2,4,5,-3] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-1,-2,4,-5,3] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-1,-2,-4,5,-3] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-1,-2,-4,-5,3] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,2,5,3,-4] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,2,5,-3,4] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[1,2,-5,3,-4] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[1,2,-5,-3,4] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[1,-2,5,3,-4] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[1,-2,5,-3,4] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[1,-2,-5,3,-4] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[1,-2,-5,-3,4] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,2,5,3,-4] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,2,5,-3,4] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-1,2,-5,3,-4] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-1,2,-5,-3,4] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-1,-2,5,3,-4] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-1,-2,5,-3,4] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-1,-2,-5,3,-4] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-1,-2,-5,-3,4] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,2,5,4,-3] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,2,5,-4,3] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[1,2,-5,4,-3] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[1,2,-5,-4,3] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[1,-2,5,4,-3] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[1,-2,5,-4,3] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[1,-2,-5,4,-3] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[1,-2,-5,-4,3] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,2,5,4,-3] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,2,5,-4,3] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-1,2,-5,4,-3] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-1,2,-5,-4,3] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-1,-2,5,4,-3] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-1,-2,5,-4,3] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-1,-2,-5,4,-3] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-1,-2,-5,-4,3] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,3,2,4,-5] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,3,2,-4,5] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[1,3,-2,4,-5] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[1,3,-2,-4,5] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[1,-3,2,4,-5] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[1,-3,2,-4,5] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[1,-3,-2,4,-5] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[1,-3,-2,-4,5] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,3,2,4,-5] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,3,2,-4,5] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-1,3,-2,4,-5] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-1,3,-2,-4,5] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-1,-3,2,4,-5] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-1,-3,2,-4,5] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-1,-3,-2,4,-5] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-1,-3,-2,-4,5] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,3,2,5,-4] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,3,2,-5,4] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[1,3,-2,5,-4] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[1,3,-2,-5,4] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[1,-3,2,5,-4] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[1,-3,2,-5,4] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[1,-3,-2,5,-4] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[1,-3,-2,-5,4] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,3,2,5,-4] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,3,2,-5,4] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-1,3,-2,5,-4] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-1,3,-2,-5,4] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-1,-3,2,5,-4] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-1,-3,2,-5,4] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-1,-3,-2,5,-4] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-1,-3,-2,-5,4] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,3,4,2,-5] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,3,4,-2,5] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[1,3,-4,2,-5] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[1,3,-4,-2,5] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[1,-3,4,2,-5] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[1,-3,4,-2,5] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[1,-3,-4,2,-5] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[1,-3,-4,-2,5] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,3,4,2,-5] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,3,4,-2,5] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-1,3,-4,2,-5] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-1,3,-4,-2,5] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-1,-3,4,2,-5] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-1,-3,4,-2,5] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-1,-3,-4,2,-5] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-1,-3,-4,-2,5] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,3,4,5,-2] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,3,4,-5,2] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[1,3,-4,5,-2] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[1,3,-4,-5,2] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[1,-3,4,5,-2] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[1,-3,4,-5,2] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[1,-3,-4,5,-2] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[1,-3,-4,-5,2] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,3,4,5,-2] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,3,4,-5,2] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-1,3,-4,5,-2] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-1,3,-4,-5,2] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-1,-3,4,5,-2] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-1,-3,4,-5,2] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-1,-3,-4,5,-2] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-1,-3,-4,-5,2] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,3,5,2,-4] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,3,5,-2,4] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[1,3,-5,2,-4] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[1,3,-5,-2,4] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[1,-3,5,2,-4] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[1,-3,5,-2,4] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[1,-3,-5,2,-4] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[1,-3,-5,-2,4] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,3,5,2,-4] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,3,5,-2,4] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-1,3,-5,2,-4] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-1,3,-5,-2,4] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-1,-3,5,2,-4] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-1,-3,5,-2,4] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-1,-3,-5,2,-4] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-1,-3,-5,-2,4] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,3,5,4,-2] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,3,5,-4,2] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[1,3,-5,4,-2] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[1,3,-5,-4,2] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[1,-3,5,4,-2] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[1,-3,5,-4,2] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[1,-3,-5,4,-2] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[1,-3,-5,-4,2] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,3,5,4,-2] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,3,5,-4,2] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-1,3,-5,4,-2] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-1,3,-5,-4,2] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-1,-3,5,4,-2] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-1,-3,5,-4,2] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-1,-3,-5,4,-2] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-1,-3,-5,-4,2] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,4,2,3,-5] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,4,2,-3,5] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[1,4,-2,3,-5] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[1,4,-2,-3,5] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[1,-4,2,3,-5] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[1,-4,2,-3,5] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[1,-4,-2,3,-5] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[1,-4,-2,-3,5] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,4,2,3,-5] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,4,2,-3,5] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-1,4,-2,3,-5] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-1,4,-2,-3,5] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-1,-4,2,3,-5] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-1,-4,2,-3,5] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-1,-4,-2,3,-5] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-1,-4,-2,-3,5] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,4,2,5,-3] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,4,2,-5,3] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[1,4,-2,5,-3] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[1,4,-2,-5,3] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[1,-4,2,5,-3] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[1,-4,2,-5,3] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[1,-4,-2,5,-3] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[1,-4,-2,-5,3] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,4,2,5,-3] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,4,2,-5,3] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-1,4,-2,5,-3] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-1,4,-2,-5,3] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-1,-4,2,5,-3] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-1,-4,2,-5,3] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-1,-4,-2,5,-3] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-1,-4,-2,-5,3] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,4,3,2,-5] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,4,3,-2,5] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[1,4,-3,2,-5] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[1,4,-3,-2,5] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[1,-4,3,2,-5] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[1,-4,3,-2,5] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[1,-4,-3,2,-5] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[1,-4,-3,-2,5] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,4,3,2,-5] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,4,3,-2,5] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-1,4,-3,2,-5] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-1,4,-3,-2,5] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-1,-4,3,2,-5] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-1,-4,3,-2,5] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-1,-4,-3,2,-5] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-1,-4,-3,-2,5] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,4,3,5,-2] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,4,3,-5,2] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[1,4,-3,5,-2] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[1,4,-3,-5,2] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[1,-4,3,5,-2] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[1,-4,3,-5,2] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[1,-4,-3,5,-2] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[1,-4,-3,-5,2] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,4,3,5,-2] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,4,3,-5,2] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-1,4,-3,5,-2] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-1,4,-3,-5,2] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-1,-4,3,5,-2] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-1,-4,3,-5,2] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-1,-4,-3,5,-2] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-1,-4,-3,-5,2] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,4,5,2,-3] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,4,5,-2,3] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[1,4,-5,2,-3] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[1,4,-5,-2,3] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[1,-4,5,2,-3] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[1,-4,5,-2,3] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[1,-4,-5,2,-3] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[1,-4,-5,-2,3] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,4,5,2,-3] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,4,5,-2,3] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-1,4,-5,2,-3] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-1,4,-5,-2,3] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-1,-4,5,2,-3] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-1,-4,5,-2,3] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-1,-4,-5,2,-3] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-1,-4,-5,-2,3] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,4,5,3,-2] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,4,5,-3,2] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[1,4,-5,3,-2] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[1,4,-5,-3,2] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[1,-4,5,3,-2] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[1,-4,5,-3,2] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[1,-4,-5,3,-2] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[1,-4,-5,-3,2] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,4,5,3,-2] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,4,5,-3,2] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-1,4,-5,3,-2] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-1,4,-5,-3,2] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-1,-4,5,3,-2] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-1,-4,5,-3,2] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-1,-4,-5,3,-2] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-1,-4,-5,-3,2] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,5,2,3,-4] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,5,2,-3,4] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[1,5,-2,3,-4] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[1,5,-2,-3,4] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[1,-5,2,3,-4] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[1,-5,2,-3,4] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[1,-5,-2,3,-4] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[1,-5,-2,-3,4] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,5,2,3,-4] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,5,2,-3,4] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-1,5,-2,3,-4] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-1,5,-2,-3,4] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-1,-5,2,3,-4] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-1,-5,2,-3,4] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-1,-5,-2,3,-4] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-1,-5,-2,-3,4] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,5,2,4,-3] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,5,2,-4,3] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[1,5,-2,4,-3] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[1,5,-2,-4,3] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[1,-5,2,4,-3] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[1,-5,2,-4,3] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[1,-5,-2,4,-3] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[1,-5,-2,-4,3] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,5,2,4,-3] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,5,2,-4,3] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-1,5,-2,4,-3] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-1,5,-2,-4,3] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-1,-5,2,4,-3] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-1,-5,2,-4,3] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-1,-5,-2,4,-3] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-1,-5,-2,-4,3] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,5,3,2,-4] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,5,3,-2,4] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[1,5,-3,2,-4] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[1,5,-3,-2,4] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[1,-5,3,2,-4] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[1,-5,3,-2,4] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[1,-5,-3,2,-4] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[1,-5,-3,-2,4] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,5,3,2,-4] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,5,3,-2,4] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-1,5,-3,2,-4] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-1,5,-3,-2,4] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-1,-5,3,2,-4] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-1,-5,3,-2,4] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-1,-5,-3,2,-4] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-1,-5,-3,-2,4] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,5,3,4,-2] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,5,3,-4,2] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[1,5,-3,4,-2] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[1,5,-3,-4,2] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[1,-5,3,4,-2] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[1,-5,3,-4,2] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[1,-5,-3,4,-2] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[1,-5,-3,-4,2] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,5,3,4,-2] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,5,3,-4,2] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-1,5,-3,4,-2] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-1,5,-3,-4,2] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-1,-5,3,4,-2] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-1,-5,3,-4,2] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-1,-5,-3,4,-2] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-1,-5,-3,-4,2] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,5,4,2,-3] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,5,4,-2,3] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[1,5,-4,2,-3] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[1,5,-4,-2,3] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[1,-5,4,2,-3] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[1,-5,4,-2,3] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[1,-5,-4,2,-3] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[1,-5,-4,-2,3] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,5,4,2,-3] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,5,4,-2,3] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-1,5,-4,2,-3] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-1,5,-4,-2,3] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-1,-5,4,2,-3] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-1,-5,4,-2,3] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-1,-5,-4,2,-3] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-1,-5,-4,-2,3] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,5,4,3,-2] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[1,5,4,-3,2] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[1,5,-4,3,-2] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[1,5,-4,-3,2] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[1,-5,4,3,-2] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[1,-5,4,-3,2] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[1,-5,-4,3,-2] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[1,-5,-4,-3,2] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,5,4,3,-2] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-1,5,4,-3,2] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-1,5,-4,3,-2] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-1,5,-4,-3,2] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-1,-5,4,3,-2] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-1,-5,4,-3,2] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-1,-5,-4,3,-2] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-1,-5,-4,-3,2] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,1,3,4,-5] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,1,3,-4,5] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[2,1,-3,4,-5] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[2,1,-3,-4,5] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[2,-1,3,4,-5] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[2,-1,3,-4,5] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[2,-1,-3,4,-5] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[2,-1,-3,-4,5] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,1,3,4,-5] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,1,3,-4,5] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-2,1,-3,4,-5] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-2,1,-3,-4,5] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-2,-1,3,4,-5] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-2,-1,3,-4,5] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-2,-1,-3,4,-5] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-2,-1,-3,-4,5] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,1,3,5,-4] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,1,3,-5,4] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[2,1,-3,5,-4] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[2,1,-3,-5,4] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[2,-1,3,5,-4] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[2,-1,3,-5,4] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[2,-1,-3,5,-4] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[2,-1,-3,-5,4] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,1,3,5,-4] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,1,3,-5,4] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-2,1,-3,5,-4] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-2,1,-3,-5,4] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-2,-1,3,5,-4] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-2,-1,3,-5,4] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-2,-1,-3,5,-4] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-2,-1,-3,-5,4] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,1,4,3,-5] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,1,4,-3,5] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[2,1,-4,3,-5] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[2,1,-4,-3,5] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[2,-1,4,3,-5] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[2,-1,4,-3,5] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[2,-1,-4,3,-5] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[2,-1,-4,-3,5] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,1,4,3,-5] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,1,4,-3,5] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-2,1,-4,3,-5] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-2,1,-4,-3,5] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-2,-1,4,3,-5] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-2,-1,4,-3,5] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-2,-1,-4,3,-5] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-2,-1,-4,-3,5] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,1,4,5,-3] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,1,4,-5,3] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[2,1,-4,5,-3] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[2,1,-4,-5,3] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[2,-1,4,5,-3] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[2,-1,4,-5,3] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[2,-1,-4,5,-3] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[2,-1,-4,-5,3] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,1,4,5,-3] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,1,4,-5,3] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-2,1,-4,5,-3] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-2,1,-4,-5,3] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-2,-1,4,5,-3] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-2,-1,4,-5,3] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-2,-1,-4,5,-3] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-2,-1,-4,-5,3] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,1,5,3,-4] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,1,5,-3,4] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[2,1,-5,3,-4] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[2,1,-5,-3,4] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[2,-1,5,3,-4] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[2,-1,5,-3,4] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[2,-1,-5,3,-4] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[2,-1,-5,-3,4] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,1,5,3,-4] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,1,5,-3,4] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-2,1,-5,3,-4] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-2,1,-5,-3,4] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-2,-1,5,3,-4] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-2,-1,5,-3,4] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-2,-1,-5,3,-4] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-2,-1,-5,-3,4] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,1,5,4,-3] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,1,5,-4,3] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[2,1,-5,4,-3] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[2,1,-5,-4,3] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[2,-1,5,4,-3] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[2,-1,5,-4,3] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[2,-1,-5,4,-3] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[2,-1,-5,-4,3] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,1,5,4,-3] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,1,5,-4,3] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-2,1,-5,4,-3] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-2,1,-5,-4,3] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-2,-1,5,4,-3] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-2,-1,5,-4,3] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-2,-1,-5,4,-3] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-2,-1,-5,-4,3] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,3,1,4,-5] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,3,1,-4,5] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[2,3,-1,4,-5] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[2,3,-1,-4,5] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[2,-3,1,4,-5] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[2,-3,1,-4,5] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[2,-3,-1,4,-5] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[2,-3,-1,-4,5] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,3,1,4,-5] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,3,1,-4,5] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-2,3,-1,4,-5] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-2,3,-1,-4,5] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-2,-3,1,4,-5] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-2,-3,1,-4,5] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-2,-3,-1,4,-5] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-2,-3,-1,-4,5] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,3,1,5,-4] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,3,1,-5,4] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[2,3,-1,5,-4] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[2,3,-1,-5,4] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[2,-3,1,5,-4] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[2,-3,1,-5,4] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[2,-3,-1,5,-4] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[2,-3,-1,-5,4] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,3,1,5,-4] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,3,1,-5,4] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-2,3,-1,5,-4] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-2,3,-1,-5,4] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-2,-3,1,5,-4] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-2,-3,1,-5,4] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-2,-3,-1,5,-4] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-2,-3,-1,-5,4] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,3,4,1,-5] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,3,4,-1,5] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[2,3,-4,1,-5] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[2,3,-4,-1,5] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[2,-3,4,1,-5] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[2,-3,4,-1,5] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[2,-3,-4,1,-5] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[2,-3,-4,-1,5] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,3,4,1,-5] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,3,4,-1,5] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-2,3,-4,1,-5] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-2,3,-4,-1,5] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-2,-3,4,1,-5] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-2,-3,4,-1,5] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-2,-3,-4,1,-5] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-2,-3,-4,-1,5] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,3,4,5,-1] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,3,4,-5,1] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[2,3,-4,5,-1] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[2,3,-4,-5,1] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[2,-3,4,5,-1] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[2,-3,4,-5,1] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[2,-3,-4,5,-1] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[2,-3,-4,-5,1] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,3,4,5,-1] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,3,4,-5,1] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-2,3,-4,5,-1] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-2,3,-4,-5,1] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-2,-3,4,5,-1] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-2,-3,4,-5,1] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-2,-3,-4,5,-1] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-2,-3,-4,-5,1] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,3,5,1,-4] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,3,5,-1,4] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[2,3,-5,1,-4] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[2,3,-5,-1,4] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[2,-3,5,1,-4] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[2,-3,5,-1,4] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[2,-3,-5,1,-4] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[2,-3,-5,-1,4] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,3,5,1,-4] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,3,5,-1,4] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-2,3,-5,1,-4] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-2,3,-5,-1,4] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-2,-3,5,1,-4] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-2,-3,5,-1,4] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-2,-3,-5,1,-4] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-2,-3,-5,-1,4] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,3,5,4,-1] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,3,5,-4,1] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[2,3,-5,4,-1] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[2,3,-5,-4,1] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[2,-3,5,4,-1] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[2,-3,5,-4,1] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[2,-3,-5,4,-1] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[2,-3,-5,-4,1] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,3,5,4,-1] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,3,5,-4,1] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-2,3,-5,4,-1] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-2,3,-5,-4,1] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-2,-3,5,4,-1] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-2,-3,5,-4,1] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-2,-3,-5,4,-1] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-2,-3,-5,-4,1] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,4,1,3,-5] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,4,1,-3,5] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[2,4,-1,3,-5] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[2,4,-1,-3,5] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[2,-4,1,3,-5] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[2,-4,1,-3,5] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[2,-4,-1,3,-5] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[2,-4,-1,-3,5] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,4,1,3,-5] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,4,1,-3,5] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-2,4,-1,3,-5] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-2,4,-1,-3,5] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-2,-4,1,3,-5] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-2,-4,1,-3,5] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-2,-4,-1,3,-5] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-2,-4,-1,-3,5] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,4,1,5,-3] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,4,1,-5,3] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[2,4,-1,5,-3] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[2,4,-1,-5,3] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[2,-4,1,5,-3] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[2,-4,1,-5,3] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[2,-4,-1,5,-3] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[2,-4,-1,-5,3] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,4,1,5,-3] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,4,1,-5,3] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-2,4,-1,5,-3] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-2,4,-1,-5,3] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-2,-4,1,5,-3] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-2,-4,1,-5,3] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-2,-4,-1,5,-3] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-2,-4,-1,-5,3] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,4,3,1,-5] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,4,3,-1,5] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[2,4,-3,1,-5] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[2,4,-3,-1,5] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[2,-4,3,1,-5] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[2,-4,3,-1,5] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[2,-4,-3,1,-5] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[2,-4,-3,-1,5] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,4,3,1,-5] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,4,3,-1,5] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-2,4,-3,1,-5] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-2,4,-3,-1,5] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-2,-4,3,1,-5] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-2,-4,3,-1,5] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-2,-4,-3,1,-5] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-2,-4,-3,-1,5] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,4,3,5,-1] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,4,3,-5,1] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[2,4,-3,5,-1] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[2,4,-3,-5,1] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[2,-4,3,5,-1] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[2,-4,3,-5,1] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[2,-4,-3,5,-1] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[2,-4,-3,-5,1] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,4,3,5,-1] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,4,3,-5,1] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-2,4,-3,5,-1] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-2,4,-3,-5,1] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-2,-4,3,5,-1] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-2,-4,3,-5,1] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-2,-4,-3,5,-1] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-2,-4,-3,-5,1] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,4,5,1,-3] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,4,5,-1,3] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[2,4,-5,1,-3] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[2,4,-5,-1,3] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[2,-4,5,1,-3] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[2,-4,5,-1,3] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[2,-4,-5,1,-3] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[2,-4,-5,-1,3] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,4,5,1,-3] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,4,5,-1,3] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-2,4,-5,1,-3] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-2,4,-5,-1,3] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-2,-4,5,1,-3] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-2,-4,5,-1,3] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-2,-4,-5,1,-3] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-2,-4,-5,-1,3] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,4,5,3,-1] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,4,5,-3,1] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[2,4,-5,3,-1] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[2,4,-5,-3,1] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[2,-4,5,3,-1] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[2,-4,5,-3,1] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[2,-4,-5,3,-1] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[2,-4,-5,-3,1] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,4,5,3,-1] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,4,5,-3,1] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-2,4,-5,3,-1] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-2,4,-5,-3,1] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-2,-4,5,3,-1] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-2,-4,5,-3,1] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-2,-4,-5,3,-1] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-2,-4,-5,-3,1] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,5,1,3,-4] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,5,1,-3,4] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[2,5,-1,3,-4] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[2,5,-1,-3,4] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[2,-5,1,3,-4] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[2,-5,1,-3,4] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[2,-5,-1,3,-4] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[2,-5,-1,-3,4] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,5,1,3,-4] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,5,1,-3,4] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-2,5,-1,3,-4] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-2,5,-1,-3,4] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-2,-5,1,3,-4] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-2,-5,1,-3,4] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-2,-5,-1,3,-4] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-2,-5,-1,-3,4] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,5,1,4,-3] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,5,1,-4,3] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[2,5,-1,4,-3] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[2,5,-1,-4,3] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[2,-5,1,4,-3] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[2,-5,1,-4,3] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[2,-5,-1,4,-3] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[2,-5,-1,-4,3] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,5,1,4,-3] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,5,1,-4,3] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-2,5,-1,4,-3] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-2,5,-1,-4,3] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-2,-5,1,4,-3] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-2,-5,1,-4,3] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-2,-5,-1,4,-3] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-2,-5,-1,-4,3] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,5,3,1,-4] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,5,3,-1,4] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[2,5,-3,1,-4] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[2,5,-3,-1,4] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[2,-5,3,1,-4] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[2,-5,3,-1,4] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[2,-5,-3,1,-4] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[2,-5,-3,-1,4] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,5,3,1,-4] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,5,3,-1,4] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-2,5,-3,1,-4] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-2,5,-3,-1,4] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-2,-5,3,1,-4] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-2,-5,3,-1,4] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-2,-5,-3,1,-4] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-2,-5,-3,-1,4] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,5,3,4,-1] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,5,3,-4,1] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[2,5,-3,4,-1] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[2,5,-3,-4,1] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[2,-5,3,4,-1] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[2,-5,3,-4,1] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[2,-5,-3,4,-1] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[2,-5,-3,-4,1] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,5,3,4,-1] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,5,3,-4,1] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-2,5,-3,4,-1] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-2,5,-3,-4,1] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-2,-5,3,4,-1] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-2,-5,3,-4,1] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-2,-5,-3,4,-1] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-2,-5,-3,-4,1] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,5,4,1,-3] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,5,4,-1,3] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[2,5,-4,1,-3] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[2,5,-4,-1,3] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[2,-5,4,1,-3] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[2,-5,4,-1,3] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[2,-5,-4,1,-3] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[2,-5,-4,-1,3] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,5,4,1,-3] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,5,4,-1,3] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-2,5,-4,1,-3] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-2,5,-4,-1,3] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-2,-5,4,1,-3] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-2,-5,4,-1,3] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-2,-5,-4,1,-3] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-2,-5,-4,-1,3] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,5,4,3,-1] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[2,5,4,-3,1] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[2,5,-4,3,-1] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[2,5,-4,-3,1] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[2,-5,4,3,-1] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[2,-5,4,-3,1] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[2,-5,-4,3,-1] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[2,-5,-4,-3,1] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,5,4,3,-1] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-2,5,4,-3,1] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-2,5,-4,3,-1] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-2,5,-4,-3,1] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-2,-5,4,3,-1] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-2,-5,4,-3,1] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-2,-5,-4,3,-1] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-2,-5,-4,-3,1] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,1,2,4,-5] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,1,2,-4,5] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[3,1,-2,4,-5] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[3,1,-2,-4,5] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[3,-1,2,4,-5] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[3,-1,2,-4,5] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[3,-1,-2,4,-5] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[3,-1,-2,-4,5] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,1,2,4,-5] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,1,2,-4,5] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-3,1,-2,4,-5] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-3,1,-2,-4,5] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-3,-1,2,4,-5] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-3,-1,2,-4,5] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-3,-1,-2,4,-5] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-3,-1,-2,-4,5] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,1,2,5,-4] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,1,2,-5,4] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[3,1,-2,5,-4] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[3,1,-2,-5,4] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[3,-1,2,5,-4] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[3,-1,2,-5,4] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[3,-1,-2,5,-4] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[3,-1,-2,-5,4] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,1,2,5,-4] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,1,2,-5,4] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-3,1,-2,5,-4] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-3,1,-2,-5,4] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-3,-1,2,5,-4] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-3,-1,2,-5,4] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-3,-1,-2,5,-4] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-3,-1,-2,-5,4] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,1,4,2,-5] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,1,4,-2,5] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[3,1,-4,2,-5] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[3,1,-4,-2,5] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[3,-1,4,2,-5] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[3,-1,4,-2,5] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[3,-1,-4,2,-5] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[3,-1,-4,-2,5] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,1,4,2,-5] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,1,4,-2,5] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-3,1,-4,2,-5] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-3,1,-4,-2,5] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-3,-1,4,2,-5] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-3,-1,4,-2,5] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-3,-1,-4,2,-5] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-3,-1,-4,-2,5] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,1,4,5,-2] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,1,4,-5,2] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[3,1,-4,5,-2] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[3,1,-4,-5,2] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[3,-1,4,5,-2] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[3,-1,4,-5,2] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[3,-1,-4,5,-2] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[3,-1,-4,-5,2] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,1,4,5,-2] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,1,4,-5,2] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-3,1,-4,5,-2] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-3,1,-4,-5,2] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-3,-1,4,5,-2] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-3,-1,4,-5,2] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-3,-1,-4,5,-2] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-3,-1,-4,-5,2] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,1,5,2,-4] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,1,5,-2,4] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[3,1,-5,2,-4] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[3,1,-5,-2,4] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[3,-1,5,2,-4] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[3,-1,5,-2,4] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[3,-1,-5,2,-4] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[3,-1,-5,-2,4] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,1,5,2,-4] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,1,5,-2,4] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-3,1,-5,2,-4] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-3,1,-5,-2,4] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-3,-1,5,2,-4] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-3,-1,5,-2,4] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-3,-1,-5,2,-4] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-3,-1,-5,-2,4] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,1,5,4,-2] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,1,5,-4,2] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[3,1,-5,4,-2] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[3,1,-5,-4,2] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[3,-1,5,4,-2] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[3,-1,5,-4,2] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[3,-1,-5,4,-2] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[3,-1,-5,-4,2] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,1,5,4,-2] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,1,5,-4,2] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-3,1,-5,4,-2] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-3,1,-5,-4,2] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-3,-1,5,4,-2] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-3,-1,5,-4,2] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-3,-1,-5,4,-2] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-3,-1,-5,-4,2] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,2,1,4,-5] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,2,1,-4,5] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[3,2,-1,4,-5] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[3,2,-1,-4,5] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[3,-2,1,4,-5] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[3,-2,1,-4,5] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[3,-2,-1,4,-5] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[3,-2,-1,-4,5] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,2,1,4,-5] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,2,1,-4,5] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-3,2,-1,4,-5] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-3,2,-1,-4,5] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-3,-2,1,4,-5] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-3,-2,1,-4,5] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-3,-2,-1,4,-5] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-3,-2,-1,-4,5] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,2,1,5,-4] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,2,1,-5,4] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[3,2,-1,5,-4] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[3,2,-1,-5,4] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[3,-2,1,5,-4] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[3,-2,1,-5,4] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[3,-2,-1,5,-4] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[3,-2,-1,-5,4] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,2,1,5,-4] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,2,1,-5,4] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-3,2,-1,5,-4] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-3,2,-1,-5,4] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-3,-2,1,5,-4] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-3,-2,1,-5,4] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-3,-2,-1,5,-4] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-3,-2,-1,-5,4] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,2,4,1,-5] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,2,4,-1,5] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[3,2,-4,1,-5] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[3,2,-4,-1,5] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[3,-2,4,1,-5] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[3,-2,4,-1,5] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[3,-2,-4,1,-5] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[3,-2,-4,-1,5] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,2,4,1,-5] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,2,4,-1,5] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-3,2,-4,1,-5] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-3,2,-4,-1,5] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-3,-2,4,1,-5] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-3,-2,4,-1,5] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-3,-2,-4,1,-5] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-3,-2,-4,-1,5] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,2,4,5,-1] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,2,4,-5,1] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[3,2,-4,5,-1] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[3,2,-4,-5,1] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[3,-2,4,5,-1] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[3,-2,4,-5,1] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[3,-2,-4,5,-1] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[3,-2,-4,-5,1] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,2,4,5,-1] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,2,4,-5,1] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-3,2,-4,5,-1] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-3,2,-4,-5,1] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-3,-2,4,5,-1] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-3,-2,4,-5,1] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-3,-2,-4,5,-1] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-3,-2,-4,-5,1] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,2,5,1,-4] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,2,5,-1,4] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[3,2,-5,1,-4] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[3,2,-5,-1,4] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[3,-2,5,1,-4] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[3,-2,5,-1,4] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[3,-2,-5,1,-4] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[3,-2,-5,-1,4] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,2,5,1,-4] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,2,5,-1,4] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-3,2,-5,1,-4] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-3,2,-5,-1,4] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-3,-2,5,1,-4] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-3,-2,5,-1,4] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-3,-2,-5,1,-4] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-3,-2,-5,-1,4] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,2,5,4,-1] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,2,5,-4,1] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[3,2,-5,4,-1] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[3,2,-5,-4,1] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[3,-2,5,4,-1] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[3,-2,5,-4,1] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[3,-2,-5,4,-1] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[3,-2,-5,-4,1] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,2,5,4,-1] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,2,5,-4,1] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-3,2,-5,4,-1] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-3,2,-5,-4,1] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-3,-2,5,4,-1] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-3,-2,5,-4,1] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-3,-2,-5,4,-1] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-3,-2,-5,-4,1] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,4,1,2,-5] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,4,1,-2,5] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[3,4,-1,2,-5] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[3,4,-1,-2,5] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[3,-4,1,2,-5] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[3,-4,1,-2,5] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[3,-4,-1,2,-5] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[3,-4,-1,-2,5] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,4,1,2,-5] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,4,1,-2,5] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-3,4,-1,2,-5] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-3,4,-1,-2,5] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-3,-4,1,2,-5] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-3,-4,1,-2,5] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-3,-4,-1,2,-5] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-3,-4,-1,-2,5] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,4,1,5,-2] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,4,1,-5,2] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[3,4,-1,5,-2] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[3,4,-1,-5,2] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[3,-4,1,5,-2] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[3,-4,1,-5,2] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[3,-4,-1,5,-2] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[3,-4,-1,-5,2] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,4,1,5,-2] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,4,1,-5,2] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-3,4,-1,5,-2] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-3,4,-1,-5,2] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-3,-4,1,5,-2] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-3,-4,1,-5,2] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-3,-4,-1,5,-2] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-3,-4,-1,-5,2] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,4,2,1,-5] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,4,2,-1,5] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[3,4,-2,1,-5] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[3,4,-2,-1,5] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[3,-4,2,1,-5] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[3,-4,2,-1,5] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[3,-4,-2,1,-5] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[3,-4,-2,-1,5] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,4,2,1,-5] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,4,2,-1,5] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-3,4,-2,1,-5] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-3,4,-2,-1,5] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-3,-4,2,1,-5] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-3,-4,2,-1,5] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-3,-4,-2,1,-5] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-3,-4,-2,-1,5] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,4,2,5,-1] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,4,2,-5,1] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[3,4,-2,5,-1] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[3,4,-2,-5,1] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[3,-4,2,5,-1] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[3,-4,2,-5,1] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[3,-4,-2,5,-1] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[3,-4,-2,-5,1] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,4,2,5,-1] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,4,2,-5,1] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-3,4,-2,5,-1] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-3,4,-2,-5,1] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-3,-4,2,5,-1] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-3,-4,2,-5,1] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-3,-4,-2,5,-1] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-3,-4,-2,-5,1] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,4,5,1,-2] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,4,5,-1,2] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[3,4,-5,1,-2] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[3,4,-5,-1,2] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[3,-4,5,1,-2] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[3,-4,5,-1,2] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[3,-4,-5,1,-2] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[3,-4,-5,-1,2] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,4,5,1,-2] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,4,5,-1,2] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-3,4,-5,1,-2] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-3,4,-5,-1,2] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-3,-4,5,1,-2] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-3,-4,5,-1,2] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-3,-4,-5,1,-2] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-3,-4,-5,-1,2] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,4,5,2,-1] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,4,5,-2,1] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[3,4,-5,2,-1] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[3,4,-5,-2,1] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[3,-4,5,2,-1] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[3,-4,5,-2,1] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[3,-4,-5,2,-1] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[3,-4,-5,-2,1] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,4,5,2,-1] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,4,5,-2,1] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-3,4,-5,2,-1] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-3,4,-5,-2,1] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-3,-4,5,2,-1] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-3,-4,5,-2,1] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-3,-4,-5,2,-1] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-3,-4,-5,-2,1] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,5,1,2,-4] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,5,1,-2,4] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[3,5,-1,2,-4] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[3,5,-1,-2,4] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[3,-5,1,2,-4] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[3,-5,1,-2,4] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[3,-5,-1,2,-4] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[3,-5,-1,-2,4] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,5,1,2,-4] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,5,1,-2,4] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-3,5,-1,2,-4] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-3,5,-1,-2,4] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-3,-5,1,2,-4] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-3,-5,1,-2,4] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-3,-5,-1,2,-4] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-3,-5,-1,-2,4] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,5,1,4,-2] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,5,1,-4,2] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[3,5,-1,4,-2] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[3,5,-1,-4,2] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[3,-5,1,4,-2] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[3,-5,1,-4,2] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[3,-5,-1,4,-2] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[3,-5,-1,-4,2] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,5,1,4,-2] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,5,1,-4,2] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-3,5,-1,4,-2] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-3,5,-1,-4,2] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-3,-5,1,4,-2] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-3,-5,1,-4,2] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-3,-5,-1,4,-2] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-3,-5,-1,-4,2] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,5,2,1,-4] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,5,2,-1,4] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[3,5,-2,1,-4] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[3,5,-2,-1,4] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[3,-5,2,1,-4] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[3,-5,2,-1,4] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[3,-5,-2,1,-4] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[3,-5,-2,-1,4] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,5,2,1,-4] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,5,2,-1,4] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-3,5,-2,1,-4] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-3,5,-2,-1,4] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-3,-5,2,1,-4] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-3,-5,2,-1,4] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-3,-5,-2,1,-4] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-3,-5,-2,-1,4] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,5,2,4,-1] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,5,2,-4,1] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[3,5,-2,4,-1] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[3,5,-2,-4,1] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[3,-5,2,4,-1] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[3,-5,2,-4,1] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[3,-5,-2,4,-1] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[3,-5,-2,-4,1] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,5,2,4,-1] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,5,2,-4,1] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-3,5,-2,4,-1] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-3,5,-2,-4,1] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-3,-5,2,4,-1] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-3,-5,2,-4,1] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-3,-5,-2,4,-1] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-3,-5,-2,-4,1] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,5,4,1,-2] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,5,4,-1,2] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[3,5,-4,1,-2] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[3,5,-4,-1,2] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[3,-5,4,1,-2] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[3,-5,4,-1,2] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[3,-5,-4,1,-2] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[3,-5,-4,-1,2] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,5,4,1,-2] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,5,4,-1,2] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-3,5,-4,1,-2] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-3,5,-4,-1,2] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-3,-5,4,1,-2] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-3,-5,4,-1,2] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-3,-5,-4,1,-2] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-3,-5,-4,-1,2] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,5,4,2,-1] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[3,5,4,-2,1] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[3,5,-4,2,-1] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[3,5,-4,-2,1] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[3,-5,4,2,-1] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[3,-5,4,-2,1] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[3,-5,-4,2,-1] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[3,-5,-4,-2,1] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,5,4,2,-1] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-3,5,4,-2,1] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-3,5,-4,2,-1] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-3,5,-4,-2,1] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-3,-5,4,2,-1] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-3,-5,4,-2,1] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-3,-5,-4,2,-1] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-3,-5,-4,-2,1] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,1,2,3,-5] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,1,2,-3,5] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[4,1,-2,3,-5] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[4,1,-2,-3,5] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[4,-1,2,3,-5] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[4,-1,2,-3,5] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[4,-1,-2,3,-5] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[4,-1,-2,-3,5] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,1,2,3,-5] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,1,2,-3,5] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-4,1,-2,3,-5] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-4,1,-2,-3,5] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-4,-1,2,3,-5] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-4,-1,2,-3,5] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-4,-1,-2,3,-5] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-4,-1,-2,-3,5] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,1,2,5,-3] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,1,2,-5,3] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[4,1,-2,5,-3] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[4,1,-2,-5,3] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[4,-1,2,5,-3] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[4,-1,2,-5,3] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[4,-1,-2,5,-3] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[4,-1,-2,-5,3] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,1,2,5,-3] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,1,2,-5,3] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-4,1,-2,5,-3] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-4,1,-2,-5,3] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-4,-1,2,5,-3] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-4,-1,2,-5,3] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-4,-1,-2,5,-3] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-4,-1,-2,-5,3] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,1,3,2,-5] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,1,3,-2,5] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[4,1,-3,2,-5] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[4,1,-3,-2,5] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[4,-1,3,2,-5] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[4,-1,3,-2,5] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[4,-1,-3,2,-5] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[4,-1,-3,-2,5] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,1,3,2,-5] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,1,3,-2,5] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-4,1,-3,2,-5] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-4,1,-3,-2,5] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-4,-1,3,2,-5] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-4,-1,3,-2,5] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-4,-1,-3,2,-5] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-4,-1,-3,-2,5] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,1,3,5,-2] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,1,3,-5,2] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[4,1,-3,5,-2] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[4,1,-3,-5,2] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[4,-1,3,5,-2] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[4,-1,3,-5,2] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[4,-1,-3,5,-2] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[4,-1,-3,-5,2] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,1,3,5,-2] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,1,3,-5,2] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-4,1,-3,5,-2] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-4,1,-3,-5,2] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-4,-1,3,5,-2] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-4,-1,3,-5,2] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-4,-1,-3,5,-2] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-4,-1,-3,-5,2] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,1,5,2,-3] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,1,5,-2,3] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[4,1,-5,2,-3] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[4,1,-5,-2,3] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[4,-1,5,2,-3] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[4,-1,5,-2,3] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[4,-1,-5,2,-3] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[4,-1,-5,-2,3] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,1,5,2,-3] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,1,5,-2,3] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-4,1,-5,2,-3] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-4,1,-5,-2,3] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-4,-1,5,2,-3] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-4,-1,5,-2,3] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-4,-1,-5,2,-3] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-4,-1,-5,-2,3] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,1,5,3,-2] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,1,5,-3,2] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[4,1,-5,3,-2] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[4,1,-5,-3,2] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[4,-1,5,3,-2] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[4,-1,5,-3,2] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[4,-1,-5,3,-2] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[4,-1,-5,-3,2] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,1,5,3,-2] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,1,5,-3,2] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-4,1,-5,3,-2] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-4,1,-5,-3,2] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-4,-1,5,3,-2] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-4,-1,5,-3,2] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-4,-1,-5,3,-2] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-4,-1,-5,-3,2] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,2,1,3,-5] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,2,1,-3,5] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[4,2,-1,3,-5] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[4,2,-1,-3,5] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[4,-2,1,3,-5] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[4,-2,1,-3,5] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[4,-2,-1,3,-5] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[4,-2,-1,-3,5] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,2,1,3,-5] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,2,1,-3,5] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-4,2,-1,3,-5] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-4,2,-1,-3,5] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-4,-2,1,3,-5] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-4,-2,1,-3,5] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-4,-2,-1,3,-5] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-4,-2,-1,-3,5] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,2,1,5,-3] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,2,1,-5,3] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[4,2,-1,5,-3] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[4,2,-1,-5,3] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[4,-2,1,5,-3] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[4,-2,1,-5,3] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[4,-2,-1,5,-3] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[4,-2,-1,-5,3] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,2,1,5,-3] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,2,1,-5,3] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-4,2,-1,5,-3] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-4,2,-1,-5,3] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-4,-2,1,5,-3] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-4,-2,1,-5,3] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-4,-2,-1,5,-3] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-4,-2,-1,-5,3] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,2,3,1,-5] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,2,3,-1,5] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[4,2,-3,1,-5] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[4,2,-3,-1,5] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[4,-2,3,1,-5] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[4,-2,3,-1,5] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[4,-2,-3,1,-5] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[4,-2,-3,-1,5] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,2,3,1,-5] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,2,3,-1,5] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-4,2,-3,1,-5] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-4,2,-3,-1,5] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-4,-2,3,1,-5] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-4,-2,3,-1,5] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-4,-2,-3,1,-5] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-4,-2,-3,-1,5] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,2,3,5,-1] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,2,3,-5,1] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[4,2,-3,5,-1] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[4,2,-3,-5,1] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[4,-2,3,5,-1] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[4,-2,3,-5,1] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[4,-2,-3,5,-1] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[4,-2,-3,-5,1] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,2,3,5,-1] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,2,3,-5,1] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-4,2,-3,5,-1] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-4,2,-3,-5,1] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-4,-2,3,5,-1] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-4,-2,3,-5,1] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-4,-2,-3,5,-1] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-4,-2,-3,-5,1] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,2,5,1,-3] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,2,5,-1,3] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[4,2,-5,1,-3] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[4,2,-5,-1,3] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[4,-2,5,1,-3] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[4,-2,5,-1,3] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[4,-2,-5,1,-3] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[4,-2,-5,-1,3] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,2,5,1,-3] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,2,5,-1,3] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-4,2,-5,1,-3] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-4,2,-5,-1,3] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-4,-2,5,1,-3] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-4,-2,5,-1,3] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-4,-2,-5,1,-3] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-4,-2,-5,-1,3] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,2,5,3,-1] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,2,5,-3,1] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[4,2,-5,3,-1] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[4,2,-5,-3,1] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[4,-2,5,3,-1] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[4,-2,5,-3,1] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[4,-2,-5,3,-1] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[4,-2,-5,-3,1] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,2,5,3,-1] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,2,5,-3,1] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-4,2,-5,3,-1] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-4,2,-5,-3,1] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-4,-2,5,3,-1] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-4,-2,5,-3,1] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-4,-2,-5,3,-1] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-4,-2,-5,-3,1] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,3,1,2,-5] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,3,1,-2,5] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[4,3,-1,2,-5] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[4,3,-1,-2,5] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[4,-3,1,2,-5] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[4,-3,1,-2,5] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[4,-3,-1,2,-5] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[4,-3,-1,-2,5] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,3,1,2,-5] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,3,1,-2,5] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-4,3,-1,2,-5] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-4,3,-1,-2,5] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-4,-3,1,2,-5] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-4,-3,1,-2,5] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-4,-3,-1,2,-5] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-4,-3,-1,-2,5] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,3,1,5,-2] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,3,1,-5,2] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[4,3,-1,5,-2] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[4,3,-1,-5,2] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[4,-3,1,5,-2] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[4,-3,1,-5,2] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[4,-3,-1,5,-2] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[4,-3,-1,-5,2] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,3,1,5,-2] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,3,1,-5,2] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-4,3,-1,5,-2] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-4,3,-1,-5,2] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-4,-3,1,5,-2] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-4,-3,1,-5,2] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-4,-3,-1,5,-2] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-4,-3,-1,-5,2] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,3,2,1,-5] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,3,2,-1,5] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[4,3,-2,1,-5] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[4,3,-2,-1,5] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[4,-3,2,1,-5] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[4,-3,2,-1,5] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[4,-3,-2,1,-5] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[4,-3,-2,-1,5] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,3,2,1,-5] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,3,2,-1,5] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-4,3,-2,1,-5] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-4,3,-2,-1,5] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-4,-3,2,1,-5] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-4,-3,2,-1,5] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-4,-3,-2,1,-5] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-4,-3,-2,-1,5] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,3,2,5,-1] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,3,2,-5,1] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[4,3,-2,5,-1] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[4,3,-2,-5,1] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[4,-3,2,5,-1] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[4,-3,2,-5,1] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[4,-3,-2,5,-1] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[4,-3,-2,-5,1] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,3,2,5,-1] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,3,2,-5,1] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-4,3,-2,5,-1] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-4,3,-2,-5,1] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-4,-3,2,5,-1] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-4,-3,2,-5,1] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-4,-3,-2,5,-1] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-4,-3,-2,-5,1] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,3,5,1,-2] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,3,5,-1,2] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[4,3,-5,1,-2] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[4,3,-5,-1,2] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[4,-3,5,1,-2] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[4,-3,5,-1,2] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[4,-3,-5,1,-2] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[4,-3,-5,-1,2] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,3,5,1,-2] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,3,5,-1,2] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-4,3,-5,1,-2] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-4,3,-5,-1,2] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-4,-3,5,1,-2] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-4,-3,5,-1,2] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-4,-3,-5,1,-2] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-4,-3,-5,-1,2] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,3,5,2,-1] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,3,5,-2,1] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[4,3,-5,2,-1] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[4,3,-5,-2,1] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[4,-3,5,2,-1] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[4,-3,5,-2,1] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[4,-3,-5,2,-1] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[4,-3,-5,-2,1] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,3,5,2,-1] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,3,5,-2,1] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-4,3,-5,2,-1] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-4,3,-5,-2,1] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-4,-3,5,2,-1] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-4,-3,5,-2,1] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-4,-3,-5,2,-1] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-4,-3,-5,-2,1] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,5,1,2,-3] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,5,1,-2,3] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[4,5,-1,2,-3] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[4,5,-1,-2,3] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[4,-5,1,2,-3] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[4,-5,1,-2,3] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[4,-5,-1,2,-3] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[4,-5,-1,-2,3] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,5,1,2,-3] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,5,1,-2,3] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-4,5,-1,2,-3] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-4,5,-1,-2,3] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-4,-5,1,2,-3] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-4,-5,1,-2,3] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-4,-5,-1,2,-3] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-4,-5,-1,-2,3] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,5,1,3,-2] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,5,1,-3,2] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[4,5,-1,3,-2] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[4,5,-1,-3,2] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[4,-5,1,3,-2] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[4,-5,1,-3,2] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[4,-5,-1,3,-2] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[4,-5,-1,-3,2] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,5,1,3,-2] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,5,1,-3,2] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-4,5,-1,3,-2] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-4,5,-1,-3,2] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-4,-5,1,3,-2] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-4,-5,1,-3,2] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-4,-5,-1,3,-2] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-4,-5,-1,-3,2] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,5,2,1,-3] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,5,2,-1,3] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[4,5,-2,1,-3] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[4,5,-2,-1,3] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[4,-5,2,1,-3] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[4,-5,2,-1,3] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[4,-5,-2,1,-3] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[4,-5,-2,-1,3] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,5,2,1,-3] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,5,2,-1,3] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-4,5,-2,1,-3] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-4,5,-2,-1,3] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-4,-5,2,1,-3] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-4,-5,2,-1,3] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-4,-5,-2,1,-3] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-4,-5,-2,-1,3] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,5,2,3,-1] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,5,2,-3,1] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[4,5,-2,3,-1] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[4,5,-2,-3,1] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[4,-5,2,3,-1] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[4,-5,2,-3,1] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[4,-5,-2,3,-1] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[4,-5,-2,-3,1] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,5,2,3,-1] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,5,2,-3,1] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-4,5,-2,3,-1] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-4,5,-2,-3,1] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-4,-5,2,3,-1] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-4,-5,2,-3,1] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-4,-5,-2,3,-1] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-4,-5,-2,-3,1] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,5,3,1,-2] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,5,3,-1,2] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[4,5,-3,1,-2] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[4,5,-3,-1,2] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[4,-5,3,1,-2] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[4,-5,3,-1,2] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[4,-5,-3,1,-2] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[4,-5,-3,-1,2] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,5,3,1,-2] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,5,3,-1,2] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-4,5,-3,1,-2] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-4,5,-3,-1,2] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-4,-5,3,1,-2] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-4,-5,3,-1,2] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-4,-5,-3,1,-2] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-4,-5,-3,-1,2] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,5,3,2,-1] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[4,5,3,-2,1] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[4,5,-3,2,-1] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[4,5,-3,-2,1] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[4,-5,3,2,-1] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[4,-5,3,-2,1] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[4,-5,-3,2,-1] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[4,-5,-3,-2,1] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,5,3,2,-1] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-4,5,3,-2,1] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-4,5,-3,2,-1] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-4,5,-3,-2,1] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-4,-5,3,2,-1] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-4,-5,3,-2,1] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-4,-5,-3,2,-1] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-4,-5,-3,-2,1] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,1,2,3,-4] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,1,2,-3,4] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[5,1,-2,3,-4] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[5,1,-2,-3,4] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[5,-1,2,3,-4] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[5,-1,2,-3,4] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[5,-1,-2,3,-4] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[5,-1,-2,-3,4] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,1,2,3,-4] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,1,2,-3,4] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-5,1,-2,3,-4] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-5,1,-2,-3,4] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-5,-1,2,3,-4] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-5,-1,2,-3,4] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-5,-1,-2,3,-4] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-5,-1,-2,-3,4] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,1,2,4,-3] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,1,2,-4,3] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[5,1,-2,4,-3] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[5,1,-2,-4,3] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[5,-1,2,4,-3] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[5,-1,2,-4,3] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[5,-1,-2,4,-3] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[5,-1,-2,-4,3] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,1,2,4,-3] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,1,2,-4,3] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-5,1,-2,4,-3] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-5,1,-2,-4,3] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-5,-1,2,4,-3] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-5,-1,2,-4,3] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-5,-1,-2,4,-3] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-5,-1,-2,-4,3] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,1,3,2,-4] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,1,3,-2,4] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[5,1,-3,2,-4] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[5,1,-3,-2,4] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[5,-1,3,2,-4] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[5,-1,3,-2,4] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[5,-1,-3,2,-4] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[5,-1,-3,-2,4] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,1,3,2,-4] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,1,3,-2,4] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-5,1,-3,2,-4] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-5,1,-3,-2,4] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-5,-1,3,2,-4] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-5,-1,3,-2,4] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-5,-1,-3,2,-4] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-5,-1,-3,-2,4] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,1,3,4,-2] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,1,3,-4,2] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[5,1,-3,4,-2] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[5,1,-3,-4,2] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[5,-1,3,4,-2] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[5,-1,3,-4,2] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[5,-1,-3,4,-2] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[5,-1,-3,-4,2] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,1,3,4,-2] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,1,3,-4,2] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-5,1,-3,4,-2] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-5,1,-3,-4,2] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-5,-1,3,4,-2] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-5,-1,3,-4,2] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-5,-1,-3,4,-2] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-5,-1,-3,-4,2] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,1,4,2,-3] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,1,4,-2,3] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[5,1,-4,2,-3] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[5,1,-4,-2,3] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[5,-1,4,2,-3] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[5,-1,4,-2,3] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[5,-1,-4,2,-3] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[5,-1,-4,-2,3] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,1,4,2,-3] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,1,4,-2,3] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-5,1,-4,2,-3] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-5,1,-4,-2,3] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-5,-1,4,2,-3] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-5,-1,4,-2,3] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-5,-1,-4,2,-3] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-5,-1,-4,-2,3] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,1,4,3,-2] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,1,4,-3,2] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[5,1,-4,3,-2] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[5,1,-4,-3,2] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[5,-1,4,3,-2] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[5,-1,4,-3,2] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[5,-1,-4,3,-2] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[5,-1,-4,-3,2] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,1,4,3,-2] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,1,4,-3,2] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-5,1,-4,3,-2] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-5,1,-4,-3,2] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-5,-1,4,3,-2] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-5,-1,4,-3,2] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-5,-1,-4,3,-2] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-5,-1,-4,-3,2] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,2,1,3,-4] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,2,1,-3,4] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[5,2,-1,3,-4] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[5,2,-1,-3,4] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[5,-2,1,3,-4] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[5,-2,1,-3,4] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[5,-2,-1,3,-4] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[5,-2,-1,-3,4] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,2,1,3,-4] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,2,1,-3,4] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-5,2,-1,3,-4] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-5,2,-1,-3,4] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-5,-2,1,3,-4] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-5,-2,1,-3,4] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-5,-2,-1,3,-4] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-5,-2,-1,-3,4] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,2,1,4,-3] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,2,1,-4,3] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[5,2,-1,4,-3] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[5,2,-1,-4,3] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[5,-2,1,4,-3] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[5,-2,1,-4,3] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[5,-2,-1,4,-3] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[5,-2,-1,-4,3] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,2,1,4,-3] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,2,1,-4,3] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-5,2,-1,4,-3] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-5,2,-1,-4,3] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-5,-2,1,4,-3] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-5,-2,1,-4,3] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-5,-2,-1,4,-3] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-5,-2,-1,-4,3] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,2,3,1,-4] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,2,3,-1,4] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[5,2,-3,1,-4] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[5,2,-3,-1,4] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[5,-2,3,1,-4] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[5,-2,3,-1,4] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[5,-2,-3,1,-4] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[5,-2,-3,-1,4] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,2,3,1,-4] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,2,3,-1,4] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-5,2,-3,1,-4] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-5,2,-3,-1,4] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-5,-2,3,1,-4] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-5,-2,3,-1,4] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-5,-2,-3,1,-4] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-5,-2,-3,-1,4] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,2,3,4,-1] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,2,3,-4,1] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[5,2,-3,4,-1] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[5,2,-3,-4,1] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[5,-2,3,4,-1] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[5,-2,3,-4,1] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[5,-2,-3,4,-1] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[5,-2,-3,-4,1] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,2,3,4,-1] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,2,3,-4,1] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-5,2,-3,4,-1] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-5,2,-3,-4,1] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-5,-2,3,4,-1] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-5,-2,3,-4,1] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-5,-2,-3,4,-1] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-5,-2,-3,-4,1] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,2,4,1,-3] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,2,4,-1,3] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[5,2,-4,1,-3] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[5,2,-4,-1,3] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[5,-2,4,1,-3] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[5,-2,4,-1,3] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[5,-2,-4,1,-3] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[5,-2,-4,-1,3] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,2,4,1,-3] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,2,4,-1,3] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-5,2,-4,1,-3] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-5,2,-4,-1,3] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-5,-2,4,1,-3] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-5,-2,4,-1,3] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-5,-2,-4,1,-3] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-5,-2,-4,-1,3] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,2,4,3,-1] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,2,4,-3,1] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[5,2,-4,3,-1] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[5,2,-4,-3,1] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[5,-2,4,3,-1] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[5,-2,4,-3,1] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[5,-2,-4,3,-1] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[5,-2,-4,-3,1] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,2,4,3,-1] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,2,4,-3,1] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-5,2,-4,3,-1] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-5,2,-4,-3,1] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-5,-2,4,3,-1] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-5,-2,4,-3,1] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-5,-2,-4,3,-1] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-5,-2,-4,-3,1] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,3,1,2,-4] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,3,1,-2,4] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[5,3,-1,2,-4] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[5,3,-1,-2,4] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[5,-3,1,2,-4] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[5,-3,1,-2,4] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[5,-3,-1,2,-4] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[5,-3,-1,-2,4] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,3,1,2,-4] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,3,1,-2,4] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-5,3,-1,2,-4] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-5,3,-1,-2,4] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-5,-3,1,2,-4] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-5,-3,1,-2,4] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-5,-3,-1,2,-4] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-5,-3,-1,-2,4] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,3,1,4,-2] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,3,1,-4,2] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[5,3,-1,4,-2] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[5,3,-1,-4,2] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[5,-3,1,4,-2] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[5,-3,1,-4,2] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[5,-3,-1,4,-2] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[5,-3,-1,-4,2] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,3,1,4,-2] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,3,1,-4,2] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-5,3,-1,4,-2] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-5,3,-1,-4,2] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-5,-3,1,4,-2] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-5,-3,1,-4,2] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-5,-3,-1,4,-2] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-5,-3,-1,-4,2] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,3,2,1,-4] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,3,2,-1,4] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[5,3,-2,1,-4] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[5,3,-2,-1,4] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[5,-3,2,1,-4] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[5,-3,2,-1,4] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[5,-3,-2,1,-4] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[5,-3,-2,-1,4] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,3,2,1,-4] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,3,2,-1,4] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-5,3,-2,1,-4] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-5,3,-2,-1,4] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-5,-3,2,1,-4] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-5,-3,2,-1,4] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-5,-3,-2,1,-4] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-5,-3,-2,-1,4] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,3,2,4,-1] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,3,2,-4,1] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[5,3,-2,4,-1] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[5,3,-2,-4,1] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[5,-3,2,4,-1] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[5,-3,2,-4,1] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[5,-3,-2,4,-1] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[5,-3,-2,-4,1] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,3,2,4,-1] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,3,2,-4,1] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-5,3,-2,4,-1] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-5,3,-2,-4,1] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-5,-3,2,4,-1] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-5,-3,2,-4,1] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-5,-3,-2,4,-1] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-5,-3,-2,-4,1] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,3,4,1,-2] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,3,4,-1,2] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[5,3,-4,1,-2] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[5,3,-4,-1,2] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[5,-3,4,1,-2] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[5,-3,4,-1,2] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[5,-3,-4,1,-2] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[5,-3,-4,-1,2] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,3,4,1,-2] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,3,4,-1,2] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-5,3,-4,1,-2] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-5,3,-4,-1,2] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-5,-3,4,1,-2] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-5,-3,4,-1,2] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-5,-3,-4,1,-2] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-5,-3,-4,-1,2] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,3,4,2,-1] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,3,4,-2,1] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[5,3,-4,2,-1] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[5,3,-4,-2,1] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[5,-3,4,2,-1] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[5,-3,4,-2,1] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[5,-3,-4,2,-1] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[5,-3,-4,-2,1] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,3,4,2,-1] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,3,4,-2,1] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-5,3,-4,2,-1] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-5,3,-4,-2,1] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-5,-3,4,2,-1] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-5,-3,4,-2,1] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-5,-3,-4,2,-1] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-5,-3,-4,-2,1] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,4,1,2,-3] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,4,1,-2,3] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[5,4,-1,2,-3] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[5,4,-1,-2,3] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[5,-4,1,2,-3] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[5,-4,1,-2,3] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[5,-4,-1,2,-3] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[5,-4,-1,-2,3] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,4,1,2,-3] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,4,1,-2,3] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-5,4,-1,2,-3] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-5,4,-1,-2,3] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-5,-4,1,2,-3] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-5,-4,1,-2,3] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-5,-4,-1,2,-3] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-5,-4,-1,-2,3] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,4,1,3,-2] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,4,1,-3,2] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[5,4,-1,3,-2] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[5,4,-1,-3,2] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[5,-4,1,3,-2] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[5,-4,1,-3,2] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[5,-4,-1,3,-2] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[5,-4,-1,-3,2] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,4,1,3,-2] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,4,1,-3,2] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-5,4,-1,3,-2] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-5,4,-1,-3,2] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-5,-4,1,3,-2] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-5,-4,1,-3,2] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-5,-4,-1,3,-2] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-5,-4,-1,-3,2] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,4,2,1,-3] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,4,2,-1,3] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[5,4,-2,1,-3] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[5,4,-2,-1,3] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[5,-4,2,1,-3] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[5,-4,2,-1,3] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[5,-4,-2,1,-3] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[5,-4,-2,-1,3] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,4,2,1,-3] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,4,2,-1,3] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-5,4,-2,1,-3] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-5,4,-2,-1,3] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-5,-4,2,1,-3] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-5,-4,2,-1,3] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-5,-4,-2,1,-3] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-5,-4,-2,-1,3] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,4,2,3,-1] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,4,2,-3,1] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[5,4,-2,3,-1] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[5,4,-2,-3,1] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[5,-4,2,3,-1] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[5,-4,2,-3,1] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[5,-4,-2,3,-1] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[5,-4,-2,-3,1] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,4,2,3,-1] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,4,2,-3,1] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-5,4,-2,3,-1] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-5,4,-2,-3,1] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-5,-4,2,3,-1] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-5,-4,2,-3,1] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-5,-4,-2,3,-1] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-5,-4,-2,-3,1] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,4,3,1,-2] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,4,3,-1,2] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[5,4,-3,1,-2] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[5,4,-3,-1,2] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[5,-4,3,1,-2] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[5,-4,3,-1,2] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[5,-4,-3,1,-2] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[5,-4,-3,-1,2] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,4,3,1,-2] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,4,3,-1,2] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-5,4,-3,1,-2] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-5,4,-3,-1,2] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-5,-4,3,1,-2] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-5,-4,3,-1,2] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-5,-4,-3,1,-2] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-5,-4,-3,-1,2] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,4,3,2,-1] => 00001 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[5,4,3,-2,1] => 00010 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[5,4,-3,2,-1] => 00101 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[5,4,-3,-2,1] => 00110 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[5,-4,3,2,-1] => 01001 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[5,-4,3,-2,1] => 01010 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[5,-4,-3,2,-1] => 01101 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[5,-4,-3,-2,1] => 01110 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,4,3,2,-1] => 10001 => [1,3,1] => ([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => 2

[-5,4,3,-2,1] => 10010 => [1,2,1,1] => ([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 6

[-5,4,-3,2,-1] => 10101 => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 10

[-5,4,-3,-2,1] => 10110 => [1,1,2,1] => ([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4

[-5,-4,3,2,-1] => 11001 => [2,2,1] => ([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3

[-5,-4,3,-2,1] => 11010 => [2,1,1,1] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 8

[-5,-4,-3,2,-1] => 11101 => [3,1,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5

[-5,-4,-3,-2,1] => 11110 => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 1

[-5,-3,2,4,-6,1] => 110010 => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 8

[4,5,2,3,-6,1] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[-4,3,-5,2,-6,1] => 101010 => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 15

[6,2,3,4,5,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[5,2,3,4,6,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[4,2,3,6,5,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[5,2,3,6,4,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[4,2,3,5,6,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[3,2,6,4,5,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[3,2,5,4,6,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[4,2,6,3,5,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[5,2,6,3,4,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[4,2,5,3,6,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[3,2,4,6,5,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[3,2,5,6,4,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[4,2,5,6,3,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[3,2,4,5,6,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[2,6,3,4,5,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[2,5,3,4,6,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[2,4,3,6,5,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[2,5,3,6,4,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[2,4,3,5,6,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[3,6,2,4,5,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[3,5,2,4,6,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[4,6,2,3,5,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[5,6,2,3,4,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[4,5,2,3,6,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[3,4,2,6,5,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[3,5,2,6,4,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[4,5,2,6,3,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[3,4,2,5,6,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[2,3,6,4,5,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[2,3,5,4,6,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[2,4,6,3,5,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[2,5,6,3,4,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[2,4,5,3,6,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[3,4,6,2,5,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[3,5,6,2,4,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[4,5,6,2,3,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[3,4,5,2,6,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[2,3,4,6,5,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[2,3,5,6,4,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[2,4,5,6,3,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[3,4,5,6,2,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[2,3,4,5,6,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[-6,-5,-4,-3,-2,1] => 111110 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[2,3,4,5,-1,6] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[2,3,5,4,-1,6] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[2,3,6,5,4,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[2,4,3,5,-1,6] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[2,5,3,4,-1,6] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[2,6,3,5,4,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[2,5,4,3,6,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[2,5,4,3,-1,6] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[2,6,4,3,5,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[2,6,5,3,4,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[2,6,5,4,3,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[3,2,4,5,-1,6] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[3,2,5,4,-1,6] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[3,2,6,5,4,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[4,2,3,5,-1,6] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[5,2,3,4,-1,6] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[6,2,3,5,4,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[5,2,4,3,6,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[5,2,4,3,-1,6] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[6,2,4,3,5,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[6,2,5,3,4,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[6,2,5,4,3,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[4,3,2,5,6,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[4,3,2,5,-1,6] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[4,3,2,6,5,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[5,3,2,4,6,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[5,3,2,4,-1,6] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[6,3,2,4,5,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[6,3,2,5,4,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[5,4,2,3,6,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[5,4,2,3,-1,6] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[6,4,2,3,5,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[6,5,2,3,4,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[6,5,2,4,3,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[5,4,3,2,6,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[5,4,3,2,-1,6] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[6,4,3,2,5,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[6,5,3,2,4,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[6,5,4,2,3,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[6,5,4,3,2,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[3,4,5,6,-1,2] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[3,4,6,2,-1,5] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[3,5,2,6,-1,4] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[3,5,6,4,-1,2] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[3,6,2,4,-1,5] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[4,2,5,6,-1,3] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[4,2,6,3,-1,5] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[4,5,3,6,-1,2] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[4,5,6,3,-1,2] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[4,6,3,2,-1,5] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[5,2,3,6,-1,4] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[5,2,6,4,-1,3] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[5,6,3,4,-1,2] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[6,2,3,4,-1,5] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[3,4,5,6,7,-1,2] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[3,4,5,7,2,-1,6] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[3,4,6,2,7,-1,5] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[3,4,6,7,5,-1,2] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[3,4,7,2,5,-1,6] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[3,5,2,6,7,-1,4] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[3,5,2,7,4,-1,6] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[3,5,6,4,7,-1,2] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[3,5,6,7,4,-1,2] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[3,5,7,4,2,-1,6] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[3,6,2,4,7,-1,5] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[3,6,2,7,5,-1,4] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[3,6,7,4,5,-1,2] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[3,7,2,4,5,-1,6] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[4,2,5,6,7,-1,3] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[4,2,5,7,3,-1,6] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[4,2,6,3,7,-1,5] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[4,2,6,7,5,-1,3] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[4,2,7,3,5,-1,6] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[4,5,3,6,7,-1,2] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[4,5,3,7,2,-1,6] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[4,5,6,3,7,-1,2] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[4,5,6,7,2,-1,3] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[4,5,7,3,2,-1,6] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[4,6,3,2,7,-1,5] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[4,6,3,7,5,-1,2] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[4,6,7,3,5,-1,2] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[4,7,3,2,5,-1,6] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[5,2,3,6,7,-1,4] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[5,2,3,7,4,-1,6] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[5,2,6,4,7,-1,3] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[5,2,6,7,4,-1,3] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[5,2,7,4,3,-1,6] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[5,6,3,4,7,-1,2] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[5,6,3,7,4,-1,2] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[5,6,7,4,3,-1,2] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[5,7,3,4,2,-1,6] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[6,2,3,4,7,-1,5] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[6,2,3,7,5,-1,4] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[6,2,7,4,5,-1,3] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[6,7,3,4,5,-1,2] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[7,2,3,4,5,-1,6] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[-2,-3,-4,-5,-6,1] => 111110 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[2,-3,-4,-6,-5,1] => 011110 => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2

[3,2,-5,-4,-6,1] => 001110 => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[-3,2,-6,-4,-5,1] => 101110 => [1,1,3,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[3,2,-6,-5,-4,1] => 001110 => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[-3,4,2,-5,-6,1] => 100110 => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 5

[3,4,2,-6,-5,1] => 000110 => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[-5,-3,2,-6,-4,1] => 110110 => [2,1,2,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[4,5,2,-6,-3,1] => 000110 => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[-6,-3,2,-4,-5,1] => 110110 => [2,1,2,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[6,-3,2,-5,-4,1] => 010110 => [1,1,1,2,1] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 7

[4,6,2,-3,-5,1] => 000110 => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[-5,6,2,-3,-4,1] => 100110 => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 5

[5,6,2,-4,-3,1] => 000110 => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[-4,-5,2,3,-6,1] => 110010 => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 8

[4,-6,2,3,-5,1] => 010010 => [1,1,2,1,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 9

[-4,6,2,3,-5,1] => 100010 => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 7

[5,6,2,3,-4,1] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[-2,-5,-6,4,-3,1] => 111010 => [3,1,1,1] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 10

[-3,-6,2,4,-5,1] => 110010 => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 8

[2,5,3,4,-6,1] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[5,6,3,4,-2,1] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[-2,-3,-6,5,-4,1] => 111010 => [3,1,1,1] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 10

[4,-3,2,5,-6,1] => 010010 => [1,1,2,1,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 9

[4,2,3,5,-6,1] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[2,-6,4,5,-3,1] => 010010 => [1,1,2,1,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 9

[3,6,4,5,-2,1] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[-2,-3,-4,6,-5,1] => 111010 => [3,1,1,1] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 10

[2,-3,-5,6,-4,1] => 011010 => [1,2,1,1,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 11

[4,2,-3,6,-5,1] => 001010 => [2,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 13

[-5,2,-3,6,-4,1] => 101010 => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 15

[5,2,-4,6,-3,1] => 001010 => [2,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 13

[-4,2,3,6,-5,1] => 100010 => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 7

[5,2,3,6,-4,1] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[-2,-5,4,6,-3,1] => 110010 => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 8

[5,3,4,6,-2,1] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[-2,-3,5,6,-4,1] => 110010 => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 8

[2,-4,5,6,-3,1] => 010010 => [1,1,2,1,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 9

[2,3,5,6,-4,1] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[-2,4,5,6,-3,1] => 100010 => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 7

[3,4,5,6,-2,1] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[5,-6,-4,-3,-2,1] => 011110 => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2

[4,-6,-5,-3,-2,1] => 011110 => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2

[4,6,-5,-3,-2,1] => 001110 => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[-5,4,-6,-3,-2,1] => 101110 => [1,1,3,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[3,-6,-5,-4,-2,1] => 011110 => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2

[3,5,-6,-4,-2,1] => 001110 => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[3,6,-5,-4,-2,1] => 001110 => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[3,5,6,-4,-2,1] => 000110 => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[-6,3,5,-4,-2,1] => 100110 => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 5

[-4,3,-6,-5,-2,1] => 101110 => [1,1,3,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[-4,3,6,-5,-2,1] => 100110 => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 5

[-6,-4,3,-5,-2,1] => 110110 => [2,1,2,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[4,-5,3,-6,-2,1] => 010110 => [1,1,1,2,1] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 7

[2,-6,-5,-4,-3,1] => 011110 => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2

[2,5,-6,-4,-3,1] => 001110 => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[2,4,-6,-5,-3,1] => 001110 => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[2,4,6,-5,-3,1] => 000110 => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[-5,2,4,-6,-3,1] => 100110 => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 5

[2,6,-5,-4,-3,1] => 001110 => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[-5,2,-6,-4,-3,1] => 101110 => [1,1,3,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[2,5,6,-4,-3,1] => 000110 => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[2,4,5,6,-3,1] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[-6,2,4,5,-3,1] => 100010 => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 7

[-4,2,6,-5,-3,1] => 100110 => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 5

[-5,2,4,6,-3,1] => 100010 => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 7

[-6,-5,2,4,-3,1] => 110010 => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 8

[5,-6,2,4,-3,1] => 010010 => [1,1,2,1,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 9

[-3,2,-6,-5,-4,1] => 101110 => [1,1,3,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[-3,2,5,-6,-4,1] => 100110 => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 5

[-3,2,6,-5,-4,1] => 100110 => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 5

[-3,2,5,6,-4,1] => 100010 => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 7

[-6,-3,2,5,-4,1] => 110010 => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 8

[-6,-3,2,-5,-4,1] => 110110 => [2,1,2,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[-5,-3,2,6,-4,1] => 110010 => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 8

[-6,-5,-3,2,-4,1] => 111010 => [3,1,1,1] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 10

[5,-6,-3,2,-4,1] => 011010 => [1,2,1,1,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 11

[3,-4,2,-6,-5,1] => 010110 => [1,1,1,2,1] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 7

[3,-4,2,6,-5,1] => 010010 => [1,1,2,1,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 9

[3,-6,-4,2,-5,1] => 011010 => [1,2,1,1,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 11

[3,6,-4,2,-5,1] => 001010 => [2,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 13

[-7,-6,-5,-4,-3,-2,1] => 1111110 => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 1

[-2,1,-4,3,-6,5] => 101010 => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 15

[-2,4,1,3,-6,5] => 100010 => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 7

[-2,1,5,6,-4,3] => 100010 => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 7

[5,-2,1,6,-4,3] => 010010 => [1,1,2,1,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 9

[5,6,-2,1,-4,3] => 001010 => [2,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 13

[-2,1,-6,3,-5,4] => 101010 => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 15

[-2,6,1,3,-5,4] => 100010 => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 7

[-2,1,3,6,-5,4] => 100010 => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 7

[3,-2,1,6,-5,4] => 010010 => [1,1,2,1,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 9

[3,6,-2,1,-5,4] => 001010 => [2,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 13

[-2,1,3,4,-6,5] => 100010 => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 7

[3,-2,1,4,-6,5] => 010010 => [1,1,2,1,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 9

[3,4,-2,1,-6,5] => 001010 => [2,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 13

[-4,1,-3,2,-6,5] => 101010 => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 15

[3,4,1,2,-6,5] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[-4,1,5,6,-3,2] => 100010 => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 7

[5,-4,1,6,-3,2] => 010010 => [1,1,2,1,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 9

[5,6,-4,1,-3,2] => 001010 => [2,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 13

[-6,1,-3,2,-5,4] => 101010 => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 15

[3,6,1,2,-5,4] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[3,1,2,6,-5,4] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[1,-3,2,6,-5,4] => 010010 => [1,1,2,1,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 9

[1,6,-3,2,-5,4] => 001010 => [2,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 13

[3,1,2,4,-6,5] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[1,-3,2,4,-6,5] => 010010 => [1,1,2,1,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 9

[1,4,-3,2,-6,5] => 001010 => [2,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 13

[1,4,5,6,-3,2] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[-6,1,-5,2,-4,3] => 101010 => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 15

[5,6,1,2,-4,3] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[5,1,2,6,-4,3] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[1,-5,2,6,-4,3] => 010010 => [1,1,2,1,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 9

[1,6,-5,2,-4,3] => 001010 => [2,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 13

[1,4,2,3,-6,5] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[-4,1,2,3,-6,5] => 100010 => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 7

[1,2,-4,3,-6,5] => 001010 => [2,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 13

[1,2,5,6,-4,3] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[1,6,2,3,-5,4] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[-6,1,2,3,-5,4] => 100010 => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 7

[1,2,-6,3,-5,4] => 001010 => [2,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 13

[1,2,3,6,-5,4] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[1,2,3,4,-6,5] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[4,5,2,3,-1,6] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[1,2,3,-5,-6,4] => 000110 => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[1,2,5,-4,-6,3] => 000110 => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[1,2,-4,6,-5,3] => 001010 => [2,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 13

[1,-4,2,5,-6,3] => 010010 => [1,1,2,1,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 9

[1,2,-4,-5,-6,3] => 001110 => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[1,-3,2,-5,-6,4] => 010110 => [1,1,1,2,1] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 7

[1,4,5,-3,-6,2] => 000110 => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[1,4,-3,6,-5,2] => 001010 => [2,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 13

[1,-3,4,5,-6,2] => 010010 => [1,1,2,1,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 9

[1,4,-3,-5,-6,2] => 001110 => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[1,-3,-4,2,-6,5] => 011010 => [1,2,1,1,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 11

[1,-3,5,6,-4,2] => 010010 => [1,1,2,1,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 9

[1,-3,5,-4,-6,2] => 010110 => [1,1,1,2,1] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 7

[-3,1,4,6,-5,2] => 100010 => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 7

[3,1,4,5,-6,2] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[-3,1,4,-5,-6,2] => 100110 => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 5

[1,-3,-4,6,-5,2] => 011010 => [1,2,1,1,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 11

[1,-3,-6,5,-4,2] => 011010 => [1,2,1,1,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 11

[-5,1,3,-4,-6,2] => 100110 => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 5

[1,-3,-4,-5,-6,2] => 011110 => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2

[-2,1,3,-5,-6,4] => 100110 => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 5

[-2,1,5,-4,-6,3] => 100110 => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 5

[-2,1,-4,6,-5,3] => 101010 => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 15

[-2,-4,1,5,-6,3] => 110010 => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 8

[-2,1,-4,-5,-6,3] => 101110 => [1,1,3,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[3,-2,1,-5,-6,4] => 010110 => [1,1,1,2,1] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 7

[3,4,5,-2,-6,1] => 000110 => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[3,4,-2,6,-5,1] => 001010 => [2,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 13

[3,-2,4,5,-6,1] => 010010 => [1,1,2,1,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 9

[3,4,-2,-5,-6,1] => 001110 => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[3,-2,-4,1,-6,5] => 011010 => [1,2,1,1,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 11

[3,-2,5,6,-4,1] => 010010 => [1,1,2,1,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 9

[3,-2,5,-4,-6,1] => 010110 => [1,1,1,2,1] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 7

[-2,3,4,6,-5,1] => 100010 => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 7

[2,3,4,5,-6,1] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[-2,3,4,-5,-6,1] => 100110 => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 5

[3,-2,-4,6,-5,1] => 011010 => [1,2,1,1,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 11

[3,-2,-6,5,-4,1] => 011010 => [1,2,1,1,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 11

[-2,5,3,-4,-6,1] => 100110 => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 5

[3,-2,-4,-5,-6,1] => 011110 => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2

[-2,-3,1,4,-6,5] => 110010 => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 8

[-2,-3,1,6,-5,4] => 110010 => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 8

[-2,-3,1,-5,-6,4] => 110110 => [2,1,2,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[-2,4,-3,1,-6,5] => 101010 => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 15

[-2,4,5,-3,-6,1] => 100110 => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 5

[-2,4,-3,6,-5,1] => 101010 => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 15

[-2,-3,4,5,-6,1] => 110010 => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 8

[-2,4,-3,-5,-6,1] => 101110 => [1,1,3,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[2,3,-4,1,-6,5] => 001010 => [2,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 13

[2,3,5,-4,-6,1] => 000110 => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[5,3,4,-2,-6,1] => 000110 => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[2,3,-4,6,-5,1] => 001010 => [2,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 13

[2,-4,3,5,-6,1] => 010010 => [1,1,2,1,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 9

[4,5,3,-2,-6,1] => 000110 => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[2,3,-4,-5,-6,1] => 001110 => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[-2,-3,-4,1,-6,5] => 111010 => [3,1,1,1] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 10

[-2,-3,5,-4,-6,1] => 110110 => [2,1,2,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[-2,-5,4,-3,-6,1] => 110110 => [2,1,2,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[4,2,-3,-5,-6,1] => 001110 => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[-6,2,4,-5,-3,1] => 100110 => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 5

[-6,-5,2,3,-4,1] => 110010 => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 8

[6,5,4,3,-1,2] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[6,5,3,4,-1,2] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[6,5,3,4,2,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[6,4,5,3,-1,2] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[6,4,5,3,2,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[6,4,5,2,3,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[6,4,3,5,-1,2] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[6,4,3,5,2,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[6,3,4,5,-1,2] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[6,3,4,5,2,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[6,3,4,2,5,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[5,6,4,3,-1,2] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[5,6,4,3,2,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[5,6,4,2,3,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[5,6,3,4,2,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[5,6,3,2,4,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[5,4,6,3,-1,2] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[5,4,6,3,2,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[5,4,6,2,3,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[5,4,3,6,-1,2] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[5,4,3,6,2,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[5,3,4,6,-1,2] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[5,3,4,6,2,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[5,3,4,2,6,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[4,5,6,3,2,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[4,5,3,6,2,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[4,5,3,2,6,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[4,3,5,6,-1,2] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[4,3,5,6,2,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[4,3,5,2,6,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[4,2,5,3,-1,6] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[3,2,6,4,-1,5] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[5,2,6,3,-1,4] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[3,2,5,6,-1,4] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[3,2,4,6,-1,5] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[4,2,3,6,-1,5] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[3,5,2,4,-1,6] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[4,6,2,3,-1,5] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[5,6,2,3,-1,4] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[4,5,2,6,-1,3] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[3,4,2,6,-1,5] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[2,4,3,6,-1,5] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[2,5,3,6,-1,4] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[3,4,2,5,-1,6] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[2,6,3,4,-1,5] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[3,5,6,2,-1,4] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[4,5,6,2,-1,3] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[2,4,6,3,-1,5] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[2,5,6,3,-1,4] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[3,4,5,2,-1,6] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[2,4,5,3,-1,6] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[2,3,6,4,-1,5] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[2,4,5,6,-1,3] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[2,3,5,6,-1,4] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[2,3,4,6,-1,5] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[2,6,4,5,3,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[6,2,4,5,3,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[5,3,4,2,-1,6] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[6,3,5,4,2,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[6,1,-4,2,-5,3] => 001010 => [2,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 13

[-6,3,1,2,-5,4] => 100010 => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 7

[-4,6,1,2,-5,3] => 100010 => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 7

[-5,-3,1,6,-4,2] => 110010 => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 8

[6,-2,-4,1,-5,3] => 011010 => [1,2,1,1,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 11

[4,6,-3,1,-5,2] => 001010 => [2,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 13

[1,2,7,3,4,-6,5] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[1,6,2,3,7,-5,4] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[7,1,2,-4,3,-6,5] => 0001010 => [3,1,1,1,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 16

[1,7,2,-5,3,-6,4] => 0001010 => [3,1,1,1,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 16

[5,1,2,6,7,-4,3] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[7,1,-3,2,4,-6,5] => 0010010 => [2,1,2,1,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 12

[-6,1,-3,2,7,-5,4] => 1010010 => [1,1,1,2,1,1] => ([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 13

[1,-7,4,2,3,-6,5] => 0100010 => [1,1,3,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 10

[1,-5,7,2,3,-6,4] => 0100010 => [1,1,3,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 10

[6,1,-4,2,7,-5,3] => 0010010 => [2,1,2,1,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 12

[-4,1,7,-3,2,-6,5] => 1001010 => [1,2,1,1,1,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 17

[-7,1,-3,-5,2,-6,4] => 1011010 => [1,1,2,1,1,1] => ([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 15

[1,5,7,-4,2,-6,3] => 0001010 => [3,1,1,1,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 16

[-4,1,5,6,7,-3,2] => 1000010 => [1,4,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 8

[-2,1,7,3,4,-6,5] => 1000010 => [1,4,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 8

[-2,6,1,3,7,-5,4] => 1000010 => [1,4,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 8

[7,-2,1,-4,3,-6,5] => 0101010 => [1,1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 21

[-2,7,1,-5,3,-6,4] => 1001010 => [1,2,1,1,1,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 17

[5,-2,1,6,7,-4,3] => 0100010 => [1,1,3,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 10

[7,3,1,2,4,-6,5] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[-6,3,1,2,7,-5,4] => 1000010 => [1,4,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 8

[7,1,4,2,3,-6,5] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[1,6,7,2,3,-5,4] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[-4,6,1,2,7,-5,3] => 1000010 => [1,4,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 8

[-7,-3,1,-4,2,-6,5] => 1101010 => [2,1,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 19

[-7,-5,1,-3,2,-6,4] => 1101010 => [2,1,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 19

[-7,-5,1,-6,2,-4,3] => 1101010 => [2,1,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 19

[-5,-3,1,6,7,-4,2] => 1100010 => [2,3,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 9

[3,-2,7,1,4,-6,5] => 0100010 => [1,1,3,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 10

[3,6,-2,1,7,-5,4] => 0010010 => [2,1,2,1,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 12

[-2,-7,4,1,3,-6,5] => 1100010 => [2,3,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 9

[-2,-5,7,1,3,-6,4] => 1100010 => [2,3,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 9

[6,-2,-4,1,7,-5,3] => 0110010 => [1,2,2,1,1] => ([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 11

[7,3,4,1,2,-6,5] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[5,3,7,1,2,-6,4] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[-4,-5,7,1,2,-6,3] => 1100010 => [2,3,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 9

[4,6,-3,1,7,-5,2] => 0010010 => [2,1,2,1,1] => ([(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 12

[3,4,7,-2,1,-6,5] => 0001010 => [3,1,1,1,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 16

[3,7,-2,-5,1,-6,4] => 0011010 => [2,2,1,1,1] => ([(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 14

[-2,5,7,-4,1,-6,3] => 1001010 => [1,2,1,1,1,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 17

[4,5,7,-6,1,-3,2] => 0001010 => [3,1,1,1,1] => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 16

[3,4,5,6,7,-2,1] => 0000010 => [5,1,1] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7

[3,5,-4,2,-6,1] => 001010 => [2,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 13

[3,4,-5,2,-6,1] => 001010 => [2,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 13

[4,-6,-3,2,-5,1] => 011010 => [1,2,1,1,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 11

[3,-5,-4,2,-6,1] => 011010 => [1,2,1,1,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 11

[-5,-4,-3,2,-6,1] => 111010 => [3,1,1,1] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 10

[-4,-3,2,6,-5,1] => 110010 => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 8

[-5,4,2,3,-6,1] => 100010 => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 7

[4,6,2,3,-5,1] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[6,-4,2,3,-5,1] => 010010 => [1,1,2,1,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 9

[-3,-5,2,4,-6,1] => 110010 => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 8

[3,-6,2,4,-5,1] => 010010 => [1,1,2,1,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 9

[3,-4,2,5,-6,1] => 010010 => [1,1,2,1,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 9

[-4,-3,2,5,-6,1] => 110010 => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 8

[-4,-3,2,-6,-5,1] => 110110 => [2,1,2,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[2,-5,3,4,-6,1] => 010010 => [1,1,2,1,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 9

[6,2,3,4,-5,1] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[4,2,3,-6,-5,1] => 000110 => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[-6,2,3,-5,-4,1] => 100110 => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 5

[-3,2,4,5,-6,1] => 100010 => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 7

[-3,2,4,-6,-5,1] => 100110 => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 5

[2,3,4,-6,-5,1] => 000110 => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[2,3,-6,-5,-4,1] => 001110 => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[4,5,-6,-3,-2,1] => 001110 => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[3,4,-6,-5,-2,1] => 001110 => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[3,4,5,-6,-2,1] => 000110 => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[-5,3,4,-6,-2,1] => 100110 => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 5

[-4,3,5,-6,-2,1] => 100110 => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 5

[-5,-4,3,-6,-2,1] => 110110 => [2,1,2,1] => ([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[2,4,5,-6,-3,1] => 000110 => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[2,3,5,-6,-4,1] => 000110 => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[-5,2,3,4,-6,1] => 100010 => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 7

[-4,2,3,-6,-5,1] => 100110 => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 5

[-4,2,3,5,-6,1] => 100010 => [1,3,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 7

[-5,-4,2,3,-6,1] => 110010 => [2,2,1,1] => ([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 8

[4,-5,2,3,-6,1] => 010010 => [1,1,2,1,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 9

[4,-5,-3,2,-6,1] => 011010 => [1,2,1,1,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 11

[2,-4,-3,1,-6,5] => 011010 => [1,2,1,1,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 11

[2,-6,4,-3,-5,1] => 010110 => [1,1,1,2,1] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 7

[-2,1,4,-6,-5,3] => 100110 => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 5

[4,-6,1,-3,-5,2] => 010110 => [1,1,1,2,1] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 7

[5,6,3,1,-4,2] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[2,-3,-5,-4,-6,1] => 011110 => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2

[2,-4,-3,-5,-6,1] => 011110 => [1,4,1] => ([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 2

[4,2,-6,-3,-5,1] => 001110 => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[-5,2,-3,-4,-6,1] => 101110 => [1,1,3,1] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[5,2,-4,-3,-6,1] => 001110 => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[6,-4,2,-3,-5,1] => 010110 => [1,1,1,2,1] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 7

[4,3,-2,-6,-5,1] => 001110 => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[5,3,-2,-4,-6,1] => 001110 => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[6,-2,3,-4,-5,1] => 010110 => [1,1,1,2,1] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 7

[5,6,3,-2,-4,1] => 000110 => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[-2,6,4,-3,-5,1] => 100110 => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 5

[3,6,4,-2,-5,1] => 000110 => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[2,-4,5,-3,-6,1] => 010110 => [1,1,1,2,1] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 7

[2,-4,-3,6,-5,1] => 011010 => [1,2,1,1,1] => ([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 11

[5,3,-2,6,-4,1] => 001010 => [2,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 13

[1,3,-4,-6,-5,2] => 001110 => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[1,3,-5,-4,-6,2] => 001110 => [2,3,1] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3

[1,-6,3,-4,-5,2] => 010110 => [1,1,1,2,1] => ([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 7

[1,6,3,-5,-4,2] => 000110 => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[1,6,4,-3,-5,2] => 000110 => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[1,3,-5,6,-4,2] => 001010 => [2,1,1,1,1] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 13

[1,2,4,-6,-5,3] => 000110 => [3,2,1] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4

[-5,4,1,-3,-6,2] => 100110 => [1,2,2,1] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 5

[5,-4,3,1,-6,2] => 010010 => [1,1,2,1,1] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 9

[5,3,2,6,4,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[5,3,6,2,4,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[5,3,6,4,2,-1] => 000001 => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 1

[5,3,2,6,-1,4] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[5,3,6,2,-1,4] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[5,6,3,2,-1,4] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[5,3,6,4,-1,2] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

[6,4,3,2,-1,5] => 000010 => [4,1,1] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6

search for individual values

searching the database for the individual values of this statistic

Description

The monochromatic index of a connected graph.
This is the maximal number of colours such that there is a colouring of the edges where any two vertices can be joined by a monochromatic path.
For example, a circle graph other than the triangle can be coloured with at most two colours: one edge blue, all the others red.

Map

to threshold graph

Description

The threshold graph corresponding to the composition.
A threshold graph is a graph that can be obtained from the empty graph by adding successively isolated and dominating vertices.
A threshold graph is uniquely determined by its degree sequence.
The Laplacian spectrum of a threshold graph is integral. Interpreting it as an integer partition, it is the conjugate of the partition given by its degree sequence.

Map

delta morphism

Description

Applies the delta morphism to a binary word.
The delta morphism of a finite word $w$ is the integer compositions composed of the lengths of consecutive runs of the same letter in $w$.

Map

signs

Description

The binary word recording the signs of a signed permutation.
This map sends a signed permutation $\pi\in\mathfrak H_n$ to the binary word $w$ of length $n$ such that $w_i = 0$ if $\pi(i) > 0$.