Identifier
-
Mp00253:
Decorated permutations
—permutation⟶
Permutations
Mp00252: Permutations —restriction⟶ Permutations
Mp00170: Permutations —to signed permutation⟶ Signed permutations
St001870: Signed permutations ⟶ ℤ
Values
[+,+] => [1,2] => [1] => [1] => 0
[-,+] => [1,2] => [1] => [1] => 0
[+,-] => [1,2] => [1] => [1] => 0
[-,-] => [1,2] => [1] => [1] => 0
[2,1] => [2,1] => [1] => [1] => 0
[+,+,+] => [1,2,3] => [1,2] => [1,2] => 0
[-,+,+] => [1,2,3] => [1,2] => [1,2] => 0
[+,-,+] => [1,2,3] => [1,2] => [1,2] => 0
[+,+,-] => [1,2,3] => [1,2] => [1,2] => 0
[-,-,+] => [1,2,3] => [1,2] => [1,2] => 0
[-,+,-] => [1,2,3] => [1,2] => [1,2] => 0
[+,-,-] => [1,2,3] => [1,2] => [1,2] => 0
[-,-,-] => [1,2,3] => [1,2] => [1,2] => 0
[+,3,2] => [1,3,2] => [1,2] => [1,2] => 0
[-,3,2] => [1,3,2] => [1,2] => [1,2] => 0
[2,1,+] => [2,1,3] => [2,1] => [2,1] => 0
[2,1,-] => [2,1,3] => [2,1] => [2,1] => 0
[2,3,1] => [2,3,1] => [2,1] => [2,1] => 0
[3,1,2] => [3,1,2] => [1,2] => [1,2] => 0
[3,+,1] => [3,2,1] => [2,1] => [2,1] => 0
[3,-,1] => [3,2,1] => [2,1] => [2,1] => 0
[+,+,+,+] => [1,2,3,4] => [1,2,3] => [1,2,3] => 0
[-,+,+,+] => [1,2,3,4] => [1,2,3] => [1,2,3] => 0
[+,-,+,+] => [1,2,3,4] => [1,2,3] => [1,2,3] => 0
[+,+,-,+] => [1,2,3,4] => [1,2,3] => [1,2,3] => 0
[+,+,+,-] => [1,2,3,4] => [1,2,3] => [1,2,3] => 0
[-,-,+,+] => [1,2,3,4] => [1,2,3] => [1,2,3] => 0
[-,+,-,+] => [1,2,3,4] => [1,2,3] => [1,2,3] => 0
[-,+,+,-] => [1,2,3,4] => [1,2,3] => [1,2,3] => 0
[+,-,-,+] => [1,2,3,4] => [1,2,3] => [1,2,3] => 0
[+,-,+,-] => [1,2,3,4] => [1,2,3] => [1,2,3] => 0
[+,+,-,-] => [1,2,3,4] => [1,2,3] => [1,2,3] => 0
[-,-,-,+] => [1,2,3,4] => [1,2,3] => [1,2,3] => 0
[-,-,+,-] => [1,2,3,4] => [1,2,3] => [1,2,3] => 0
[-,+,-,-] => [1,2,3,4] => [1,2,3] => [1,2,3] => 0
[+,-,-,-] => [1,2,3,4] => [1,2,3] => [1,2,3] => 0
[-,-,-,-] => [1,2,3,4] => [1,2,3] => [1,2,3] => 0
[+,+,4,3] => [1,2,4,3] => [1,2,3] => [1,2,3] => 0
[-,+,4,3] => [1,2,4,3] => [1,2,3] => [1,2,3] => 0
[+,-,4,3] => [1,2,4,3] => [1,2,3] => [1,2,3] => 0
[-,-,4,3] => [1,2,4,3] => [1,2,3] => [1,2,3] => 0
[+,3,2,+] => [1,3,2,4] => [1,3,2] => [1,3,2] => 0
[-,3,2,+] => [1,3,2,4] => [1,3,2] => [1,3,2] => 0
[+,3,2,-] => [1,3,2,4] => [1,3,2] => [1,3,2] => 0
[-,3,2,-] => [1,3,2,4] => [1,3,2] => [1,3,2] => 0
[+,3,4,2] => [1,3,4,2] => [1,3,2] => [1,3,2] => 0
[-,3,4,2] => [1,3,4,2] => [1,3,2] => [1,3,2] => 0
[+,4,2,3] => [1,4,2,3] => [1,2,3] => [1,2,3] => 0
[-,4,2,3] => [1,4,2,3] => [1,2,3] => [1,2,3] => 0
[+,4,+,2] => [1,4,3,2] => [1,3,2] => [1,3,2] => 0
[-,4,+,2] => [1,4,3,2] => [1,3,2] => [1,3,2] => 0
[+,4,-,2] => [1,4,3,2] => [1,3,2] => [1,3,2] => 0
[-,4,-,2] => [1,4,3,2] => [1,3,2] => [1,3,2] => 0
[2,1,+,+] => [2,1,3,4] => [2,1,3] => [2,1,3] => 0
[2,1,-,+] => [2,1,3,4] => [2,1,3] => [2,1,3] => 0
[2,1,+,-] => [2,1,3,4] => [2,1,3] => [2,1,3] => 0
[2,1,-,-] => [2,1,3,4] => [2,1,3] => [2,1,3] => 0
[2,1,4,3] => [2,1,4,3] => [2,1,3] => [2,1,3] => 0
[2,3,1,+] => [2,3,1,4] => [2,3,1] => [2,3,1] => 0
[2,3,1,-] => [2,3,1,4] => [2,3,1] => [2,3,1] => 0
[2,3,4,1] => [2,3,4,1] => [2,3,1] => [2,3,1] => 0
[2,4,1,3] => [2,4,1,3] => [2,1,3] => [2,1,3] => 0
[2,4,+,1] => [2,4,3,1] => [2,3,1] => [2,3,1] => 0
[2,4,-,1] => [2,4,3,1] => [2,3,1] => [2,3,1] => 0
[3,1,2,+] => [3,1,2,4] => [3,1,2] => [3,1,2] => 0
[3,1,2,-] => [3,1,2,4] => [3,1,2] => [3,1,2] => 0
[3,1,4,2] => [3,1,4,2] => [3,1,2] => [3,1,2] => 0
[3,+,1,+] => [3,2,1,4] => [3,2,1] => [3,2,1] => 0
[3,-,1,+] => [3,2,1,4] => [3,2,1] => [3,2,1] => 0
[3,+,1,-] => [3,2,1,4] => [3,2,1] => [3,2,1] => 0
[3,-,1,-] => [3,2,1,4] => [3,2,1] => [3,2,1] => 0
[3,+,4,1] => [3,2,4,1] => [3,2,1] => [3,2,1] => 0
[3,-,4,1] => [3,2,4,1] => [3,2,1] => [3,2,1] => 0
[3,4,1,2] => [3,4,1,2] => [3,1,2] => [3,1,2] => 0
[3,4,2,1] => [3,4,2,1] => [3,2,1] => [3,2,1] => 0
[4,1,2,3] => [4,1,2,3] => [1,2,3] => [1,2,3] => 0
[4,1,+,2] => [4,1,3,2] => [1,3,2] => [1,3,2] => 0
[4,1,-,2] => [4,1,3,2] => [1,3,2] => [1,3,2] => 0
[4,+,1,3] => [4,2,1,3] => [2,1,3] => [2,1,3] => 0
[4,-,1,3] => [4,2,1,3] => [2,1,3] => [2,1,3] => 0
[4,+,+,1] => [4,2,3,1] => [2,3,1] => [2,3,1] => 0
[4,-,+,1] => [4,2,3,1] => [2,3,1] => [2,3,1] => 0
[4,+,-,1] => [4,2,3,1] => [2,3,1] => [2,3,1] => 0
[4,-,-,1] => [4,2,3,1] => [2,3,1] => [2,3,1] => 0
[4,3,1,2] => [4,3,1,2] => [3,1,2] => [3,1,2] => 0
[4,3,2,1] => [4,3,2,1] => [3,2,1] => [3,2,1] => 0
[+,+,+,+,+] => [1,2,3,4,5] => [1,2,3,4] => [1,2,3,4] => 0
[-,+,+,+,+] => [1,2,3,4,5] => [1,2,3,4] => [1,2,3,4] => 0
[+,-,+,+,+] => [1,2,3,4,5] => [1,2,3,4] => [1,2,3,4] => 0
[+,+,-,+,+] => [1,2,3,4,5] => [1,2,3,4] => [1,2,3,4] => 0
[+,+,+,-,+] => [1,2,3,4,5] => [1,2,3,4] => [1,2,3,4] => 0
[+,+,+,+,-] => [1,2,3,4,5] => [1,2,3,4] => [1,2,3,4] => 0
[-,-,+,+,+] => [1,2,3,4,5] => [1,2,3,4] => [1,2,3,4] => 0
[-,+,-,+,+] => [1,2,3,4,5] => [1,2,3,4] => [1,2,3,4] => 0
[-,+,+,-,+] => [1,2,3,4,5] => [1,2,3,4] => [1,2,3,4] => 0
[-,+,+,+,-] => [1,2,3,4,5] => [1,2,3,4] => [1,2,3,4] => 0
[+,-,-,+,+] => [1,2,3,4,5] => [1,2,3,4] => [1,2,3,4] => 0
[+,-,+,-,+] => [1,2,3,4,5] => [1,2,3,4] => [1,2,3,4] => 0
[+,-,+,+,-] => [1,2,3,4,5] => [1,2,3,4] => [1,2,3,4] => 0
[+,+,-,-,+] => [1,2,3,4,5] => [1,2,3,4] => [1,2,3,4] => 0
[+,+,-,+,-] => [1,2,3,4,5] => [1,2,3,4] => [1,2,3,4] => 0
>>> Load all 1113 entries. <<<[+,+,+,-,-] => [1,2,3,4,5] => [1,2,3,4] => [1,2,3,4] => 0
[-,-,-,+,+] => [1,2,3,4,5] => [1,2,3,4] => [1,2,3,4] => 0
[-,-,+,-,+] => [1,2,3,4,5] => [1,2,3,4] => [1,2,3,4] => 0
[-,-,+,+,-] => [1,2,3,4,5] => [1,2,3,4] => [1,2,3,4] => 0
[-,+,-,-,+] => [1,2,3,4,5] => [1,2,3,4] => [1,2,3,4] => 0
[-,+,-,+,-] => [1,2,3,4,5] => [1,2,3,4] => [1,2,3,4] => 0
[-,+,+,-,-] => [1,2,3,4,5] => [1,2,3,4] => [1,2,3,4] => 0
[+,-,-,-,+] => [1,2,3,4,5] => [1,2,3,4] => [1,2,3,4] => 0
[+,-,-,+,-] => [1,2,3,4,5] => [1,2,3,4] => [1,2,3,4] => 0
[+,-,+,-,-] => [1,2,3,4,5] => [1,2,3,4] => [1,2,3,4] => 0
[+,+,-,-,-] => [1,2,3,4,5] => [1,2,3,4] => [1,2,3,4] => 0
[-,-,-,-,+] => [1,2,3,4,5] => [1,2,3,4] => [1,2,3,4] => 0
[-,-,-,+,-] => [1,2,3,4,5] => [1,2,3,4] => [1,2,3,4] => 0
[-,-,+,-,-] => [1,2,3,4,5] => [1,2,3,4] => [1,2,3,4] => 0
[-,+,-,-,-] => [1,2,3,4,5] => [1,2,3,4] => [1,2,3,4] => 0
[+,-,-,-,-] => [1,2,3,4,5] => [1,2,3,4] => [1,2,3,4] => 0
[-,-,-,-,-] => [1,2,3,4,5] => [1,2,3,4] => [1,2,3,4] => 0
[+,+,+,5,4] => [1,2,3,5,4] => [1,2,3,4] => [1,2,3,4] => 0
[-,+,+,5,4] => [1,2,3,5,4] => [1,2,3,4] => [1,2,3,4] => 0
[+,-,+,5,4] => [1,2,3,5,4] => [1,2,3,4] => [1,2,3,4] => 0
[+,+,-,5,4] => [1,2,3,5,4] => [1,2,3,4] => [1,2,3,4] => 0
[-,-,+,5,4] => [1,2,3,5,4] => [1,2,3,4] => [1,2,3,4] => 0
[-,+,-,5,4] => [1,2,3,5,4] => [1,2,3,4] => [1,2,3,4] => 0
[+,-,-,5,4] => [1,2,3,5,4] => [1,2,3,4] => [1,2,3,4] => 0
[-,-,-,5,4] => [1,2,3,5,4] => [1,2,3,4] => [1,2,3,4] => 0
[+,+,4,3,+] => [1,2,4,3,5] => [1,2,4,3] => [1,2,4,3] => 0
[-,+,4,3,+] => [1,2,4,3,5] => [1,2,4,3] => [1,2,4,3] => 0
[+,-,4,3,+] => [1,2,4,3,5] => [1,2,4,3] => [1,2,4,3] => 0
[+,+,4,3,-] => [1,2,4,3,5] => [1,2,4,3] => [1,2,4,3] => 0
[-,-,4,3,+] => [1,2,4,3,5] => [1,2,4,3] => [1,2,4,3] => 0
[-,+,4,3,-] => [1,2,4,3,5] => [1,2,4,3] => [1,2,4,3] => 0
[+,-,4,3,-] => [1,2,4,3,5] => [1,2,4,3] => [1,2,4,3] => 0
[-,-,4,3,-] => [1,2,4,3,5] => [1,2,4,3] => [1,2,4,3] => 0
[+,+,4,5,3] => [1,2,4,5,3] => [1,2,4,3] => [1,2,4,3] => 0
[-,+,4,5,3] => [1,2,4,5,3] => [1,2,4,3] => [1,2,4,3] => 0
[+,-,4,5,3] => [1,2,4,5,3] => [1,2,4,3] => [1,2,4,3] => 0
[-,-,4,5,3] => [1,2,4,5,3] => [1,2,4,3] => [1,2,4,3] => 0
[+,+,5,3,4] => [1,2,5,3,4] => [1,2,3,4] => [1,2,3,4] => 0
[-,+,5,3,4] => [1,2,5,3,4] => [1,2,3,4] => [1,2,3,4] => 0
[+,-,5,3,4] => [1,2,5,3,4] => [1,2,3,4] => [1,2,3,4] => 0
[-,-,5,3,4] => [1,2,5,3,4] => [1,2,3,4] => [1,2,3,4] => 0
[+,+,5,+,3] => [1,2,5,4,3] => [1,2,4,3] => [1,2,4,3] => 0
[-,+,5,+,3] => [1,2,5,4,3] => [1,2,4,3] => [1,2,4,3] => 0
[+,-,5,+,3] => [1,2,5,4,3] => [1,2,4,3] => [1,2,4,3] => 0
[+,+,5,-,3] => [1,2,5,4,3] => [1,2,4,3] => [1,2,4,3] => 0
[-,-,5,+,3] => [1,2,5,4,3] => [1,2,4,3] => [1,2,4,3] => 0
[-,+,5,-,3] => [1,2,5,4,3] => [1,2,4,3] => [1,2,4,3] => 0
[+,-,5,-,3] => [1,2,5,4,3] => [1,2,4,3] => [1,2,4,3] => 0
[-,-,5,-,3] => [1,2,5,4,3] => [1,2,4,3] => [1,2,4,3] => 0
[+,3,2,+,+] => [1,3,2,4,5] => [1,3,2,4] => [1,3,2,4] => 0
[-,3,2,+,+] => [1,3,2,4,5] => [1,3,2,4] => [1,3,2,4] => 0
[+,3,2,-,+] => [1,3,2,4,5] => [1,3,2,4] => [1,3,2,4] => 0
[+,3,2,+,-] => [1,3,2,4,5] => [1,3,2,4] => [1,3,2,4] => 0
[-,3,2,-,+] => [1,3,2,4,5] => [1,3,2,4] => [1,3,2,4] => 0
[-,3,2,+,-] => [1,3,2,4,5] => [1,3,2,4] => [1,3,2,4] => 0
[+,3,2,-,-] => [1,3,2,4,5] => [1,3,2,4] => [1,3,2,4] => 0
[-,3,2,-,-] => [1,3,2,4,5] => [1,3,2,4] => [1,3,2,4] => 0
[+,3,2,5,4] => [1,3,2,5,4] => [1,3,2,4] => [1,3,2,4] => 0
[-,3,2,5,4] => [1,3,2,5,4] => [1,3,2,4] => [1,3,2,4] => 0
[+,3,4,2,+] => [1,3,4,2,5] => [1,3,4,2] => [1,3,4,2] => 0
[-,3,4,2,+] => [1,3,4,2,5] => [1,3,4,2] => [1,3,4,2] => 0
[+,3,4,2,-] => [1,3,4,2,5] => [1,3,4,2] => [1,3,4,2] => 0
[-,3,4,2,-] => [1,3,4,2,5] => [1,3,4,2] => [1,3,4,2] => 0
[+,3,4,5,2] => [1,3,4,5,2] => [1,3,4,2] => [1,3,4,2] => 0
[-,3,4,5,2] => [1,3,4,5,2] => [1,3,4,2] => [1,3,4,2] => 0
[+,3,5,2,4] => [1,3,5,2,4] => [1,3,2,4] => [1,3,2,4] => 0
[-,3,5,2,4] => [1,3,5,2,4] => [1,3,2,4] => [1,3,2,4] => 0
[+,3,5,+,2] => [1,3,5,4,2] => [1,3,4,2] => [1,3,4,2] => 0
[-,3,5,+,2] => [1,3,5,4,2] => [1,3,4,2] => [1,3,4,2] => 0
[+,3,5,-,2] => [1,3,5,4,2] => [1,3,4,2] => [1,3,4,2] => 0
[-,3,5,-,2] => [1,3,5,4,2] => [1,3,4,2] => [1,3,4,2] => 0
[+,4,2,3,+] => [1,4,2,3,5] => [1,4,2,3] => [1,4,2,3] => 0
[-,4,2,3,+] => [1,4,2,3,5] => [1,4,2,3] => [1,4,2,3] => 0
[+,4,2,3,-] => [1,4,2,3,5] => [1,4,2,3] => [1,4,2,3] => 0
[-,4,2,3,-] => [1,4,2,3,5] => [1,4,2,3] => [1,4,2,3] => 0
[+,4,2,5,3] => [1,4,2,5,3] => [1,4,2,3] => [1,4,2,3] => 0
[-,4,2,5,3] => [1,4,2,5,3] => [1,4,2,3] => [1,4,2,3] => 0
[+,4,+,2,+] => [1,4,3,2,5] => [1,4,3,2] => [1,4,3,2] => 0
[-,4,+,2,+] => [1,4,3,2,5] => [1,4,3,2] => [1,4,3,2] => 0
[+,4,-,2,+] => [1,4,3,2,5] => [1,4,3,2] => [1,4,3,2] => 0
[+,4,+,2,-] => [1,4,3,2,5] => [1,4,3,2] => [1,4,3,2] => 0
[-,4,-,2,+] => [1,4,3,2,5] => [1,4,3,2] => [1,4,3,2] => 0
[-,4,+,2,-] => [1,4,3,2,5] => [1,4,3,2] => [1,4,3,2] => 0
[+,4,-,2,-] => [1,4,3,2,5] => [1,4,3,2] => [1,4,3,2] => 0
[-,4,-,2,-] => [1,4,3,2,5] => [1,4,3,2] => [1,4,3,2] => 0
[+,4,+,5,2] => [1,4,3,5,2] => [1,4,3,2] => [1,4,3,2] => 0
[-,4,+,5,2] => [1,4,3,5,2] => [1,4,3,2] => [1,4,3,2] => 0
[+,4,-,5,2] => [1,4,3,5,2] => [1,4,3,2] => [1,4,3,2] => 0
[-,4,-,5,2] => [1,4,3,5,2] => [1,4,3,2] => [1,4,3,2] => 0
[+,4,5,2,3] => [1,4,5,2,3] => [1,4,2,3] => [1,4,2,3] => 0
[-,4,5,2,3] => [1,4,5,2,3] => [1,4,2,3] => [1,4,2,3] => 0
[+,4,5,3,2] => [1,4,5,3,2] => [1,4,3,2] => [1,4,3,2] => 0
[-,4,5,3,2] => [1,4,5,3,2] => [1,4,3,2] => [1,4,3,2] => 0
[+,5,2,3,4] => [1,5,2,3,4] => [1,2,3,4] => [1,2,3,4] => 0
[-,5,2,3,4] => [1,5,2,3,4] => [1,2,3,4] => [1,2,3,4] => 0
[+,5,2,+,3] => [1,5,2,4,3] => [1,2,4,3] => [1,2,4,3] => 0
[-,5,2,+,3] => [1,5,2,4,3] => [1,2,4,3] => [1,2,4,3] => 0
[+,5,2,-,3] => [1,5,2,4,3] => [1,2,4,3] => [1,2,4,3] => 0
[-,5,2,-,3] => [1,5,2,4,3] => [1,2,4,3] => [1,2,4,3] => 0
[+,5,+,2,4] => [1,5,3,2,4] => [1,3,2,4] => [1,3,2,4] => 0
[-,5,+,2,4] => [1,5,3,2,4] => [1,3,2,4] => [1,3,2,4] => 0
[+,5,-,2,4] => [1,5,3,2,4] => [1,3,2,4] => [1,3,2,4] => 0
[-,5,-,2,4] => [1,5,3,2,4] => [1,3,2,4] => [1,3,2,4] => 0
[+,5,+,+,2] => [1,5,3,4,2] => [1,3,4,2] => [1,3,4,2] => 0
[-,5,+,+,2] => [1,5,3,4,2] => [1,3,4,2] => [1,3,4,2] => 0
[+,5,-,+,2] => [1,5,3,4,2] => [1,3,4,2] => [1,3,4,2] => 0
[+,5,+,-,2] => [1,5,3,4,2] => [1,3,4,2] => [1,3,4,2] => 0
[-,5,-,+,2] => [1,5,3,4,2] => [1,3,4,2] => [1,3,4,2] => 0
[-,5,+,-,2] => [1,5,3,4,2] => [1,3,4,2] => [1,3,4,2] => 0
[+,5,-,-,2] => [1,5,3,4,2] => [1,3,4,2] => [1,3,4,2] => 0
[-,5,-,-,2] => [1,5,3,4,2] => [1,3,4,2] => [1,3,4,2] => 0
[+,5,4,2,3] => [1,5,4,2,3] => [1,4,2,3] => [1,4,2,3] => 0
[-,5,4,2,3] => [1,5,4,2,3] => [1,4,2,3] => [1,4,2,3] => 0
[+,5,4,3,2] => [1,5,4,3,2] => [1,4,3,2] => [1,4,3,2] => 0
[-,5,4,3,2] => [1,5,4,3,2] => [1,4,3,2] => [1,4,3,2] => 0
[2,1,+,+,+] => [2,1,3,4,5] => [2,1,3,4] => [2,1,3,4] => 0
[2,1,-,+,+] => [2,1,3,4,5] => [2,1,3,4] => [2,1,3,4] => 0
[2,1,+,-,+] => [2,1,3,4,5] => [2,1,3,4] => [2,1,3,4] => 0
[2,1,+,+,-] => [2,1,3,4,5] => [2,1,3,4] => [2,1,3,4] => 0
[2,1,-,-,+] => [2,1,3,4,5] => [2,1,3,4] => [2,1,3,4] => 0
[2,1,-,+,-] => [2,1,3,4,5] => [2,1,3,4] => [2,1,3,4] => 0
[2,1,+,-,-] => [2,1,3,4,5] => [2,1,3,4] => [2,1,3,4] => 0
[2,1,-,-,-] => [2,1,3,4,5] => [2,1,3,4] => [2,1,3,4] => 0
[2,1,+,5,4] => [2,1,3,5,4] => [2,1,3,4] => [2,1,3,4] => 0
[2,1,-,5,4] => [2,1,3,5,4] => [2,1,3,4] => [2,1,3,4] => 0
[2,1,4,3,+] => [2,1,4,3,5] => [2,1,4,3] => [2,1,4,3] => 0
[2,1,4,3,-] => [2,1,4,3,5] => [2,1,4,3] => [2,1,4,3] => 0
[2,1,4,5,3] => [2,1,4,5,3] => [2,1,4,3] => [2,1,4,3] => 0
[2,1,5,3,4] => [2,1,5,3,4] => [2,1,3,4] => [2,1,3,4] => 0
[2,1,5,+,3] => [2,1,5,4,3] => [2,1,4,3] => [2,1,4,3] => 0
[2,1,5,-,3] => [2,1,5,4,3] => [2,1,4,3] => [2,1,4,3] => 0
[2,3,1,+,+] => [2,3,1,4,5] => [2,3,1,4] => [2,3,1,4] => 0
[2,3,1,-,+] => [2,3,1,4,5] => [2,3,1,4] => [2,3,1,4] => 0
[2,3,1,+,-] => [2,3,1,4,5] => [2,3,1,4] => [2,3,1,4] => 0
[2,3,1,-,-] => [2,3,1,4,5] => [2,3,1,4] => [2,3,1,4] => 0
[2,3,1,5,4] => [2,3,1,5,4] => [2,3,1,4] => [2,3,1,4] => 0
[2,3,4,1,+] => [2,3,4,1,5] => [2,3,4,1] => [2,3,4,1] => 0
[2,3,4,1,-] => [2,3,4,1,5] => [2,3,4,1] => [2,3,4,1] => 0
[2,3,4,5,1] => [2,3,4,5,1] => [2,3,4,1] => [2,3,4,1] => 0
[2,3,5,1,4] => [2,3,5,1,4] => [2,3,1,4] => [2,3,1,4] => 0
[2,3,5,+,1] => [2,3,5,4,1] => [2,3,4,1] => [2,3,4,1] => 0
[2,3,5,-,1] => [2,3,5,4,1] => [2,3,4,1] => [2,3,4,1] => 0
[2,4,1,3,+] => [2,4,1,3,5] => [2,4,1,3] => [2,4,1,3] => 0
[2,4,1,3,-] => [2,4,1,3,5] => [2,4,1,3] => [2,4,1,3] => 0
[2,4,1,5,3] => [2,4,1,5,3] => [2,4,1,3] => [2,4,1,3] => 0
[2,4,+,1,+] => [2,4,3,1,5] => [2,4,3,1] => [2,4,3,1] => 0
[2,4,-,1,+] => [2,4,3,1,5] => [2,4,3,1] => [2,4,3,1] => 0
[2,4,+,1,-] => [2,4,3,1,5] => [2,4,3,1] => [2,4,3,1] => 0
[2,4,-,1,-] => [2,4,3,1,5] => [2,4,3,1] => [2,4,3,1] => 0
[2,4,+,5,1] => [2,4,3,5,1] => [2,4,3,1] => [2,4,3,1] => 0
[2,4,-,5,1] => [2,4,3,5,1] => [2,4,3,1] => [2,4,3,1] => 0
[2,4,5,1,3] => [2,4,5,1,3] => [2,4,1,3] => [2,4,1,3] => 0
[2,4,5,3,1] => [2,4,5,3,1] => [2,4,3,1] => [2,4,3,1] => 0
[2,5,1,3,4] => [2,5,1,3,4] => [2,1,3,4] => [2,1,3,4] => 0
[2,5,1,+,3] => [2,5,1,4,3] => [2,1,4,3] => [2,1,4,3] => 0
[2,5,1,-,3] => [2,5,1,4,3] => [2,1,4,3] => [2,1,4,3] => 0
[2,5,+,1,4] => [2,5,3,1,4] => [2,3,1,4] => [2,3,1,4] => 0
[2,5,-,1,4] => [2,5,3,1,4] => [2,3,1,4] => [2,3,1,4] => 0
[2,5,+,+,1] => [2,5,3,4,1] => [2,3,4,1] => [2,3,4,1] => 0
[2,5,-,+,1] => [2,5,3,4,1] => [2,3,4,1] => [2,3,4,1] => 0
[2,5,+,-,1] => [2,5,3,4,1] => [2,3,4,1] => [2,3,4,1] => 0
[2,5,-,-,1] => [2,5,3,4,1] => [2,3,4,1] => [2,3,4,1] => 0
[2,5,4,1,3] => [2,5,4,1,3] => [2,4,1,3] => [2,4,1,3] => 0
[2,5,4,3,1] => [2,5,4,3,1] => [2,4,3,1] => [2,4,3,1] => 0
[3,1,2,+,+] => [3,1,2,4,5] => [3,1,2,4] => [3,1,2,4] => 0
[3,1,2,-,+] => [3,1,2,4,5] => [3,1,2,4] => [3,1,2,4] => 0
[3,1,2,+,-] => [3,1,2,4,5] => [3,1,2,4] => [3,1,2,4] => 0
[3,1,2,-,-] => [3,1,2,4,5] => [3,1,2,4] => [3,1,2,4] => 0
[3,1,2,5,4] => [3,1,2,5,4] => [3,1,2,4] => [3,1,2,4] => 0
[3,1,4,2,+] => [3,1,4,2,5] => [3,1,4,2] => [3,1,4,2] => 0
[3,1,4,2,-] => [3,1,4,2,5] => [3,1,4,2] => [3,1,4,2] => 0
[3,1,4,5,2] => [3,1,4,5,2] => [3,1,4,2] => [3,1,4,2] => 0
[3,1,5,2,4] => [3,1,5,2,4] => [3,1,2,4] => [3,1,2,4] => 0
[3,1,5,+,2] => [3,1,5,4,2] => [3,1,4,2] => [3,1,4,2] => 0
[3,1,5,-,2] => [3,1,5,4,2] => [3,1,4,2] => [3,1,4,2] => 0
[3,+,1,+,+] => [3,2,1,4,5] => [3,2,1,4] => [3,2,1,4] => 0
[3,-,1,+,+] => [3,2,1,4,5] => [3,2,1,4] => [3,2,1,4] => 0
[3,+,1,-,+] => [3,2,1,4,5] => [3,2,1,4] => [3,2,1,4] => 0
[3,+,1,+,-] => [3,2,1,4,5] => [3,2,1,4] => [3,2,1,4] => 0
[3,-,1,-,+] => [3,2,1,4,5] => [3,2,1,4] => [3,2,1,4] => 0
[3,-,1,+,-] => [3,2,1,4,5] => [3,2,1,4] => [3,2,1,4] => 0
[3,+,1,-,-] => [3,2,1,4,5] => [3,2,1,4] => [3,2,1,4] => 0
[3,-,1,-,-] => [3,2,1,4,5] => [3,2,1,4] => [3,2,1,4] => 0
[3,+,1,5,4] => [3,2,1,5,4] => [3,2,1,4] => [3,2,1,4] => 0
[3,-,1,5,4] => [3,2,1,5,4] => [3,2,1,4] => [3,2,1,4] => 0
[3,+,4,1,+] => [3,2,4,1,5] => [3,2,4,1] => [3,2,4,1] => 0
[3,-,4,1,+] => [3,2,4,1,5] => [3,2,4,1] => [3,2,4,1] => 0
[3,+,4,1,-] => [3,2,4,1,5] => [3,2,4,1] => [3,2,4,1] => 0
[3,-,4,1,-] => [3,2,4,1,5] => [3,2,4,1] => [3,2,4,1] => 0
[3,+,4,5,1] => [3,2,4,5,1] => [3,2,4,1] => [3,2,4,1] => 0
[3,-,4,5,1] => [3,2,4,5,1] => [3,2,4,1] => [3,2,4,1] => 0
[3,+,5,1,4] => [3,2,5,1,4] => [3,2,1,4] => [3,2,1,4] => 0
[3,-,5,1,4] => [3,2,5,1,4] => [3,2,1,4] => [3,2,1,4] => 0
[3,+,5,+,1] => [3,2,5,4,1] => [3,2,4,1] => [3,2,4,1] => 0
[3,-,5,+,1] => [3,2,5,4,1] => [3,2,4,1] => [3,2,4,1] => 0
[3,+,5,-,1] => [3,2,5,4,1] => [3,2,4,1] => [3,2,4,1] => 0
[3,-,5,-,1] => [3,2,5,4,1] => [3,2,4,1] => [3,2,4,1] => 0
[3,4,1,2,+] => [3,4,1,2,5] => [3,4,1,2] => [3,4,1,2] => 0
[3,4,1,2,-] => [3,4,1,2,5] => [3,4,1,2] => [3,4,1,2] => 0
[3,4,1,5,2] => [3,4,1,5,2] => [3,4,1,2] => [3,4,1,2] => 0
[3,4,2,1,+] => [3,4,2,1,5] => [3,4,2,1] => [3,4,2,1] => 0
[3,4,2,1,-] => [3,4,2,1,5] => [3,4,2,1] => [3,4,2,1] => 0
[3,4,2,5,1] => [3,4,2,5,1] => [3,4,2,1] => [3,4,2,1] => 0
[3,4,5,1,2] => [3,4,5,1,2] => [3,4,1,2] => [3,4,1,2] => 0
[3,4,5,2,1] => [3,4,5,2,1] => [3,4,2,1] => [3,4,2,1] => 0
[3,5,1,2,4] => [3,5,1,2,4] => [3,1,2,4] => [3,1,2,4] => 0
[3,5,1,+,2] => [3,5,1,4,2] => [3,1,4,2] => [3,1,4,2] => 0
[3,5,1,-,2] => [3,5,1,4,2] => [3,1,4,2] => [3,1,4,2] => 0
[3,5,2,1,4] => [3,5,2,1,4] => [3,2,1,4] => [3,2,1,4] => 0
[3,5,2,+,1] => [3,5,2,4,1] => [3,2,4,1] => [3,2,4,1] => 0
[3,5,2,-,1] => [3,5,2,4,1] => [3,2,4,1] => [3,2,4,1] => 0
[3,5,4,1,2] => [3,5,4,1,2] => [3,4,1,2] => [3,4,1,2] => 0
[3,5,4,2,1] => [3,5,4,2,1] => [3,4,2,1] => [3,4,2,1] => 0
[4,1,2,3,+] => [4,1,2,3,5] => [4,1,2,3] => [4,1,2,3] => 0
[4,1,2,3,-] => [4,1,2,3,5] => [4,1,2,3] => [4,1,2,3] => 0
[4,1,2,5,3] => [4,1,2,5,3] => [4,1,2,3] => [4,1,2,3] => 0
[4,1,+,2,+] => [4,1,3,2,5] => [4,1,3,2] => [4,1,3,2] => 0
[4,1,-,2,+] => [4,1,3,2,5] => [4,1,3,2] => [4,1,3,2] => 0
[4,1,+,2,-] => [4,1,3,2,5] => [4,1,3,2] => [4,1,3,2] => 0
[4,1,-,2,-] => [4,1,3,2,5] => [4,1,3,2] => [4,1,3,2] => 0
[4,1,+,5,2] => [4,1,3,5,2] => [4,1,3,2] => [4,1,3,2] => 0
[4,1,-,5,2] => [4,1,3,5,2] => [4,1,3,2] => [4,1,3,2] => 0
[4,1,5,2,3] => [4,1,5,2,3] => [4,1,2,3] => [4,1,2,3] => 0
[4,1,5,3,2] => [4,1,5,3,2] => [4,1,3,2] => [4,1,3,2] => 0
[4,+,1,3,+] => [4,2,1,3,5] => [4,2,1,3] => [4,2,1,3] => 0
[4,-,1,3,+] => [4,2,1,3,5] => [4,2,1,3] => [4,2,1,3] => 0
[4,+,1,3,-] => [4,2,1,3,5] => [4,2,1,3] => [4,2,1,3] => 0
[4,-,1,3,-] => [4,2,1,3,5] => [4,2,1,3] => [4,2,1,3] => 0
[4,+,1,5,3] => [4,2,1,5,3] => [4,2,1,3] => [4,2,1,3] => 0
[4,-,1,5,3] => [4,2,1,5,3] => [4,2,1,3] => [4,2,1,3] => 0
[4,+,+,1,+] => [4,2,3,1,5] => [4,2,3,1] => [4,2,3,1] => 0
[4,-,+,1,+] => [4,2,3,1,5] => [4,2,3,1] => [4,2,3,1] => 0
[4,+,-,1,+] => [4,2,3,1,5] => [4,2,3,1] => [4,2,3,1] => 0
[4,+,+,1,-] => [4,2,3,1,5] => [4,2,3,1] => [4,2,3,1] => 0
[4,-,-,1,+] => [4,2,3,1,5] => [4,2,3,1] => [4,2,3,1] => 0
[4,-,+,1,-] => [4,2,3,1,5] => [4,2,3,1] => [4,2,3,1] => 0
[4,+,-,1,-] => [4,2,3,1,5] => [4,2,3,1] => [4,2,3,1] => 0
[4,-,-,1,-] => [4,2,3,1,5] => [4,2,3,1] => [4,2,3,1] => 0
[4,+,+,5,1] => [4,2,3,5,1] => [4,2,3,1] => [4,2,3,1] => 0
[4,-,+,5,1] => [4,2,3,5,1] => [4,2,3,1] => [4,2,3,1] => 0
[4,+,-,5,1] => [4,2,3,5,1] => [4,2,3,1] => [4,2,3,1] => 0
[4,-,-,5,1] => [4,2,3,5,1] => [4,2,3,1] => [4,2,3,1] => 0
[4,+,5,1,3] => [4,2,5,1,3] => [4,2,1,3] => [4,2,1,3] => 0
[4,-,5,1,3] => [4,2,5,1,3] => [4,2,1,3] => [4,2,1,3] => 0
[4,+,5,3,1] => [4,2,5,3,1] => [4,2,3,1] => [4,2,3,1] => 0
[4,-,5,3,1] => [4,2,5,3,1] => [4,2,3,1] => [4,2,3,1] => 0
[4,3,1,2,+] => [4,3,1,2,5] => [4,3,1,2] => [4,3,1,2] => 0
[4,3,1,2,-] => [4,3,1,2,5] => [4,3,1,2] => [4,3,1,2] => 0
[4,3,1,5,2] => [4,3,1,5,2] => [4,3,1,2] => [4,3,1,2] => 0
[4,3,2,1,+] => [4,3,2,1,5] => [4,3,2,1] => [4,3,2,1] => 0
[4,3,2,1,-] => [4,3,2,1,5] => [4,3,2,1] => [4,3,2,1] => 0
[4,3,2,5,1] => [4,3,2,5,1] => [4,3,2,1] => [4,3,2,1] => 0
[4,3,5,1,2] => [4,3,5,1,2] => [4,3,1,2] => [4,3,1,2] => 0
[4,3,5,2,1] => [4,3,5,2,1] => [4,3,2,1] => [4,3,2,1] => 0
[4,5,1,2,3] => [4,5,1,2,3] => [4,1,2,3] => [4,1,2,3] => 0
[4,5,1,3,2] => [4,5,1,3,2] => [4,1,3,2] => [4,1,3,2] => 0
[4,5,2,1,3] => [4,5,2,1,3] => [4,2,1,3] => [4,2,1,3] => 0
[4,5,2,3,1] => [4,5,2,3,1] => [4,2,3,1] => [4,2,3,1] => 0
[4,5,+,1,2] => [4,5,3,1,2] => [4,3,1,2] => [4,3,1,2] => 0
[4,5,-,1,2] => [4,5,3,1,2] => [4,3,1,2] => [4,3,1,2] => 0
[4,5,+,2,1] => [4,5,3,2,1] => [4,3,2,1] => [4,3,2,1] => 0
[4,5,-,2,1] => [4,5,3,2,1] => [4,3,2,1] => [4,3,2,1] => 0
[5,1,2,3,4] => [5,1,2,3,4] => [1,2,3,4] => [1,2,3,4] => 0
[5,1,2,+,3] => [5,1,2,4,3] => [1,2,4,3] => [1,2,4,3] => 0
[5,1,2,-,3] => [5,1,2,4,3] => [1,2,4,3] => [1,2,4,3] => 0
[5,1,+,2,4] => [5,1,3,2,4] => [1,3,2,4] => [1,3,2,4] => 0
[5,1,-,2,4] => [5,1,3,2,4] => [1,3,2,4] => [1,3,2,4] => 0
[5,1,+,+,2] => [5,1,3,4,2] => [1,3,4,2] => [1,3,4,2] => 0
[5,1,-,+,2] => [5,1,3,4,2] => [1,3,4,2] => [1,3,4,2] => 0
[5,1,+,-,2] => [5,1,3,4,2] => [1,3,4,2] => [1,3,4,2] => 0
[5,1,-,-,2] => [5,1,3,4,2] => [1,3,4,2] => [1,3,4,2] => 0
[5,1,4,2,3] => [5,1,4,2,3] => [1,4,2,3] => [1,4,2,3] => 0
[5,1,4,3,2] => [5,1,4,3,2] => [1,4,3,2] => [1,4,3,2] => 0
[5,+,1,3,4] => [5,2,1,3,4] => [2,1,3,4] => [2,1,3,4] => 0
[5,-,1,3,4] => [5,2,1,3,4] => [2,1,3,4] => [2,1,3,4] => 0
[5,+,1,+,3] => [5,2,1,4,3] => [2,1,4,3] => [2,1,4,3] => 0
[5,-,1,+,3] => [5,2,1,4,3] => [2,1,4,3] => [2,1,4,3] => 0
[5,+,1,-,3] => [5,2,1,4,3] => [2,1,4,3] => [2,1,4,3] => 0
[5,-,1,-,3] => [5,2,1,4,3] => [2,1,4,3] => [2,1,4,3] => 0
[5,+,+,1,4] => [5,2,3,1,4] => [2,3,1,4] => [2,3,1,4] => 0
[5,-,+,1,4] => [5,2,3,1,4] => [2,3,1,4] => [2,3,1,4] => 0
[5,+,-,1,4] => [5,2,3,1,4] => [2,3,1,4] => [2,3,1,4] => 0
[5,-,-,1,4] => [5,2,3,1,4] => [2,3,1,4] => [2,3,1,4] => 0
[5,+,+,+,1] => [5,2,3,4,1] => [2,3,4,1] => [2,3,4,1] => 0
[5,-,+,+,1] => [5,2,3,4,1] => [2,3,4,1] => [2,3,4,1] => 0
[5,+,-,+,1] => [5,2,3,4,1] => [2,3,4,1] => [2,3,4,1] => 0
[5,+,+,-,1] => [5,2,3,4,1] => [2,3,4,1] => [2,3,4,1] => 0
[5,-,-,+,1] => [5,2,3,4,1] => [2,3,4,1] => [2,3,4,1] => 0
[5,-,+,-,1] => [5,2,3,4,1] => [2,3,4,1] => [2,3,4,1] => 0
[5,+,-,-,1] => [5,2,3,4,1] => [2,3,4,1] => [2,3,4,1] => 0
[5,-,-,-,1] => [5,2,3,4,1] => [2,3,4,1] => [2,3,4,1] => 0
[5,+,4,1,3] => [5,2,4,1,3] => [2,4,1,3] => [2,4,1,3] => 0
[5,-,4,1,3] => [5,2,4,1,3] => [2,4,1,3] => [2,4,1,3] => 0
[5,+,4,3,1] => [5,2,4,3,1] => [2,4,3,1] => [2,4,3,1] => 0
[5,-,4,3,1] => [5,2,4,3,1] => [2,4,3,1] => [2,4,3,1] => 0
[5,3,1,2,4] => [5,3,1,2,4] => [3,1,2,4] => [3,1,2,4] => 0
[5,3,1,+,2] => [5,3,1,4,2] => [3,1,4,2] => [3,1,4,2] => 0
[5,3,1,-,2] => [5,3,1,4,2] => [3,1,4,2] => [3,1,4,2] => 0
[5,3,2,1,4] => [5,3,2,1,4] => [3,2,1,4] => [3,2,1,4] => 0
[5,3,2,+,1] => [5,3,2,4,1] => [3,2,4,1] => [3,2,4,1] => 0
[5,3,2,-,1] => [5,3,2,4,1] => [3,2,4,1] => [3,2,4,1] => 0
[5,3,4,1,2] => [5,3,4,1,2] => [3,4,1,2] => [3,4,1,2] => 0
[5,3,4,2,1] => [5,3,4,2,1] => [3,4,2,1] => [3,4,2,1] => 0
[5,4,1,2,3] => [5,4,1,2,3] => [4,1,2,3] => [4,1,2,3] => 0
[5,4,1,3,2] => [5,4,1,3,2] => [4,1,3,2] => [4,1,3,2] => 0
[5,4,2,1,3] => [5,4,2,1,3] => [4,2,1,3] => [4,2,1,3] => 0
[5,4,2,3,1] => [5,4,2,3,1] => [4,2,3,1] => [4,2,3,1] => 0
[5,4,+,1,2] => [5,4,3,1,2] => [4,3,1,2] => [4,3,1,2] => 0
[5,4,-,1,2] => [5,4,3,1,2] => [4,3,1,2] => [4,3,1,2] => 0
[5,4,+,2,1] => [5,4,3,2,1] => [4,3,2,1] => [4,3,2,1] => 0
[5,4,-,2,1] => [5,4,3,2,1] => [4,3,2,1] => [4,3,2,1] => 0
[+,+,+,+,+,+] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,+,+,+,+,+] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,-,+,+,+,+] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,+,-,+,+,+] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,+,+,-,+,+] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,+,+,+,-,+] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,+,+,+,+,-] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,-,+,+,+,+] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,+,-,+,+,+] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,+,+,-,+,+] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,+,+,+,-,+] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,+,+,+,+,-] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,-,-,+,+,+] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,-,+,-,+,+] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,-,+,+,-,+] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,-,+,+,+,-] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,+,-,-,+,+] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,+,-,+,-,+] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,+,-,+,+,-] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,+,+,-,-,+] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,+,+,-,+,-] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,+,+,+,-,-] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,-,-,+,+,+] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,-,+,-,+,+] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,-,+,+,-,+] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,-,+,+,+,-] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,+,-,-,+,+] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,+,-,+,-,+] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,+,-,+,+,-] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,+,+,-,-,+] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,+,+,-,+,-] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,+,+,+,-,-] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,-,-,-,+,+] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,-,-,+,-,+] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,-,-,+,+,-] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,-,+,-,-,+] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,-,+,-,+,-] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,-,+,+,-,-] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,+,-,-,-,+] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,+,-,-,+,-] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,+,-,+,-,-] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,+,+,-,-,-] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,-,-,-,+,+] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,-,-,+,-,+] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,-,-,+,+,-] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,-,+,-,-,+] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,-,+,-,+,-] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,-,+,+,-,-] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,+,-,-,-,+] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,+,-,-,+,-] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,+,-,+,-,-] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,+,+,-,-,-] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,-,-,-,-,+] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,-,-,-,+,-] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,-,-,+,-,-] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,-,+,-,-,-] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,+,-,-,-,-] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,-,-,-,-,+] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,-,-,-,+,-] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,-,-,+,-,-] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,-,+,-,-,-] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,+,-,-,-,-] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,-,-,-,-,-] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,-,-,-,-,-] => [1,2,3,4,5,6] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,+,+,+,6,5] => [1,2,3,4,6,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,+,+,+,6,5] => [1,2,3,4,6,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,-,+,+,6,5] => [1,2,3,4,6,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,+,-,+,6,5] => [1,2,3,4,6,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,+,+,-,6,5] => [1,2,3,4,6,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,-,+,+,6,5] => [1,2,3,4,6,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,+,-,+,6,5] => [1,2,3,4,6,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,+,+,-,6,5] => [1,2,3,4,6,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,-,-,+,6,5] => [1,2,3,4,6,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,-,+,-,6,5] => [1,2,3,4,6,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,+,-,-,6,5] => [1,2,3,4,6,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,-,-,+,6,5] => [1,2,3,4,6,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,-,+,-,6,5] => [1,2,3,4,6,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,+,-,-,6,5] => [1,2,3,4,6,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,-,-,-,6,5] => [1,2,3,4,6,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,-,-,-,6,5] => [1,2,3,4,6,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,+,+,5,4,+] => [1,2,3,5,4,6] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[-,+,+,5,4,+] => [1,2,3,5,4,6] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[+,-,+,5,4,+] => [1,2,3,5,4,6] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[+,+,-,5,4,+] => [1,2,3,5,4,6] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[+,+,+,5,4,-] => [1,2,3,5,4,6] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[-,-,+,5,4,+] => [1,2,3,5,4,6] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[-,+,-,5,4,+] => [1,2,3,5,4,6] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[-,+,+,5,4,-] => [1,2,3,5,4,6] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[+,-,-,5,4,+] => [1,2,3,5,4,6] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[+,-,+,5,4,-] => [1,2,3,5,4,6] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[+,+,-,5,4,-] => [1,2,3,5,4,6] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[-,-,-,5,4,+] => [1,2,3,5,4,6] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[-,-,+,5,4,-] => [1,2,3,5,4,6] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[-,+,-,5,4,-] => [1,2,3,5,4,6] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[+,-,-,5,4,-] => [1,2,3,5,4,6] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[-,-,-,5,4,-] => [1,2,3,5,4,6] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[+,+,+,5,6,4] => [1,2,3,5,6,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[-,+,+,5,6,4] => [1,2,3,5,6,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[+,-,+,5,6,4] => [1,2,3,5,6,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[+,+,-,5,6,4] => [1,2,3,5,6,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[-,-,+,5,6,4] => [1,2,3,5,6,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[-,+,-,5,6,4] => [1,2,3,5,6,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[+,-,-,5,6,4] => [1,2,3,5,6,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[-,-,-,5,6,4] => [1,2,3,5,6,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[+,+,+,6,4,5] => [1,2,3,6,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,+,+,6,4,5] => [1,2,3,6,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,-,+,6,4,5] => [1,2,3,6,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,+,-,6,4,5] => [1,2,3,6,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,-,+,6,4,5] => [1,2,3,6,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,+,-,6,4,5] => [1,2,3,6,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,-,-,6,4,5] => [1,2,3,6,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,-,-,6,4,5] => [1,2,3,6,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,+,+,6,+,4] => [1,2,3,6,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[-,+,+,6,+,4] => [1,2,3,6,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[+,-,+,6,+,4] => [1,2,3,6,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[+,+,-,6,+,4] => [1,2,3,6,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[+,+,+,6,-,4] => [1,2,3,6,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[-,-,+,6,+,4] => [1,2,3,6,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[-,+,-,6,+,4] => [1,2,3,6,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[-,+,+,6,-,4] => [1,2,3,6,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[+,-,-,6,+,4] => [1,2,3,6,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[+,-,+,6,-,4] => [1,2,3,6,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[+,+,-,6,-,4] => [1,2,3,6,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[-,-,-,6,+,4] => [1,2,3,6,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[-,-,+,6,-,4] => [1,2,3,6,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[-,+,-,6,-,4] => [1,2,3,6,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[+,-,-,6,-,4] => [1,2,3,6,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[-,-,-,6,-,4] => [1,2,3,6,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[+,+,4,3,+,+] => [1,2,4,3,5,6] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[-,+,4,3,+,+] => [1,2,4,3,5,6] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[+,-,4,3,+,+] => [1,2,4,3,5,6] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[+,+,4,3,-,+] => [1,2,4,3,5,6] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[+,+,4,3,+,-] => [1,2,4,3,5,6] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[-,-,4,3,+,+] => [1,2,4,3,5,6] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[-,+,4,3,-,+] => [1,2,4,3,5,6] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[-,+,4,3,+,-] => [1,2,4,3,5,6] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[+,-,4,3,-,+] => [1,2,4,3,5,6] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[+,-,4,3,+,-] => [1,2,4,3,5,6] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[+,+,4,3,-,-] => [1,2,4,3,5,6] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[-,-,4,3,-,+] => [1,2,4,3,5,6] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[-,-,4,3,+,-] => [1,2,4,3,5,6] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[-,+,4,3,-,-] => [1,2,4,3,5,6] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[+,-,4,3,-,-] => [1,2,4,3,5,6] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[-,-,4,3,-,-] => [1,2,4,3,5,6] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[+,+,4,3,6,5] => [1,2,4,3,6,5] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[-,+,4,3,6,5] => [1,2,4,3,6,5] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[+,-,4,3,6,5] => [1,2,4,3,6,5] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[-,-,4,3,6,5] => [1,2,4,3,6,5] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[+,+,4,5,3,+] => [1,2,4,5,3,6] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[-,+,4,5,3,+] => [1,2,4,5,3,6] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[+,-,4,5,3,+] => [1,2,4,5,3,6] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[+,+,4,5,3,-] => [1,2,4,5,3,6] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[-,-,4,5,3,+] => [1,2,4,5,3,6] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[-,+,4,5,3,-] => [1,2,4,5,3,6] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[+,-,4,5,3,-] => [1,2,4,5,3,6] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[-,-,4,5,3,-] => [1,2,4,5,3,6] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[+,+,4,5,6,3] => [1,2,4,5,6,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[-,+,4,5,6,3] => [1,2,4,5,6,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[+,-,4,5,6,3] => [1,2,4,5,6,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[-,-,4,5,6,3] => [1,2,4,5,6,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[+,+,4,6,3,5] => [1,2,4,6,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[-,+,4,6,3,5] => [1,2,4,6,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[+,-,4,6,3,5] => [1,2,4,6,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[-,-,4,6,3,5] => [1,2,4,6,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[+,+,4,6,+,3] => [1,2,4,6,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[-,+,4,6,+,3] => [1,2,4,6,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[+,-,4,6,+,3] => [1,2,4,6,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[+,+,4,6,-,3] => [1,2,4,6,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[-,-,4,6,+,3] => [1,2,4,6,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[-,+,4,6,-,3] => [1,2,4,6,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[+,-,4,6,-,3] => [1,2,4,6,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[-,-,4,6,-,3] => [1,2,4,6,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[+,+,5,3,4,+] => [1,2,5,3,4,6] => [1,2,5,3,4] => [1,2,5,3,4] => 0
[-,+,5,3,4,+] => [1,2,5,3,4,6] => [1,2,5,3,4] => [1,2,5,3,4] => 0
[+,-,5,3,4,+] => [1,2,5,3,4,6] => [1,2,5,3,4] => [1,2,5,3,4] => 0
[+,+,5,3,4,-] => [1,2,5,3,4,6] => [1,2,5,3,4] => [1,2,5,3,4] => 0
[-,-,5,3,4,+] => [1,2,5,3,4,6] => [1,2,5,3,4] => [1,2,5,3,4] => 0
[-,+,5,3,4,-] => [1,2,5,3,4,6] => [1,2,5,3,4] => [1,2,5,3,4] => 0
[+,-,5,3,4,-] => [1,2,5,3,4,6] => [1,2,5,3,4] => [1,2,5,3,4] => 0
[-,-,5,3,4,-] => [1,2,5,3,4,6] => [1,2,5,3,4] => [1,2,5,3,4] => 0
[+,+,5,3,6,4] => [1,2,5,3,6,4] => [1,2,5,3,4] => [1,2,5,3,4] => 0
[-,+,5,3,6,4] => [1,2,5,3,6,4] => [1,2,5,3,4] => [1,2,5,3,4] => 0
[+,-,5,3,6,4] => [1,2,5,3,6,4] => [1,2,5,3,4] => [1,2,5,3,4] => 0
[-,-,5,3,6,4] => [1,2,5,3,6,4] => [1,2,5,3,4] => [1,2,5,3,4] => 0
[+,+,5,+,3,+] => [1,2,5,4,3,6] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[-,+,5,+,3,+] => [1,2,5,4,3,6] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[+,-,5,+,3,+] => [1,2,5,4,3,6] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[+,+,5,-,3,+] => [1,2,5,4,3,6] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[+,+,5,+,3,-] => [1,2,5,4,3,6] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[-,-,5,+,3,+] => [1,2,5,4,3,6] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[-,+,5,-,3,+] => [1,2,5,4,3,6] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[-,+,5,+,3,-] => [1,2,5,4,3,6] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[+,-,5,-,3,+] => [1,2,5,4,3,6] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[+,-,5,+,3,-] => [1,2,5,4,3,6] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[+,+,5,-,3,-] => [1,2,5,4,3,6] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[-,-,5,-,3,+] => [1,2,5,4,3,6] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[-,-,5,+,3,-] => [1,2,5,4,3,6] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[-,+,5,-,3,-] => [1,2,5,4,3,6] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[+,-,5,-,3,-] => [1,2,5,4,3,6] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[-,-,5,-,3,-] => [1,2,5,4,3,6] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[+,+,5,+,6,3] => [1,2,5,4,6,3] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[-,+,5,+,6,3] => [1,2,5,4,6,3] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[+,-,5,+,6,3] => [1,2,5,4,6,3] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[+,+,5,-,6,3] => [1,2,5,4,6,3] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[-,-,5,+,6,3] => [1,2,5,4,6,3] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[-,+,5,-,6,3] => [1,2,5,4,6,3] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[+,-,5,-,6,3] => [1,2,5,4,6,3] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[-,-,5,-,6,3] => [1,2,5,4,6,3] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[+,+,5,6,3,4] => [1,2,5,6,3,4] => [1,2,5,3,4] => [1,2,5,3,4] => 0
[-,+,5,6,3,4] => [1,2,5,6,3,4] => [1,2,5,3,4] => [1,2,5,3,4] => 0
[+,-,5,6,3,4] => [1,2,5,6,3,4] => [1,2,5,3,4] => [1,2,5,3,4] => 0
[-,-,5,6,3,4] => [1,2,5,6,3,4] => [1,2,5,3,4] => [1,2,5,3,4] => 0
[+,+,5,6,4,3] => [1,2,5,6,4,3] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[-,+,5,6,4,3] => [1,2,5,6,4,3] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[+,-,5,6,4,3] => [1,2,5,6,4,3] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[-,-,5,6,4,3] => [1,2,5,6,4,3] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[+,+,6,3,4,5] => [1,2,6,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,+,6,3,4,5] => [1,2,6,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,-,6,3,4,5] => [1,2,6,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,-,6,3,4,5] => [1,2,6,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,+,6,3,+,4] => [1,2,6,3,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[-,+,6,3,+,4] => [1,2,6,3,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[+,-,6,3,+,4] => [1,2,6,3,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[+,+,6,3,-,4] => [1,2,6,3,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[-,-,6,3,+,4] => [1,2,6,3,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[-,+,6,3,-,4] => [1,2,6,3,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[+,-,6,3,-,4] => [1,2,6,3,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[-,-,6,3,-,4] => [1,2,6,3,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[+,+,6,+,3,5] => [1,2,6,4,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[-,+,6,+,3,5] => [1,2,6,4,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[+,-,6,+,3,5] => [1,2,6,4,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[+,+,6,-,3,5] => [1,2,6,4,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[-,-,6,+,3,5] => [1,2,6,4,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[-,+,6,-,3,5] => [1,2,6,4,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[+,-,6,-,3,5] => [1,2,6,4,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[-,-,6,-,3,5] => [1,2,6,4,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[+,+,6,+,+,3] => [1,2,6,4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[-,+,6,+,+,3] => [1,2,6,4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[+,-,6,+,+,3] => [1,2,6,4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[+,+,6,-,+,3] => [1,2,6,4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[+,+,6,+,-,3] => [1,2,6,4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[-,-,6,+,+,3] => [1,2,6,4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[-,+,6,-,+,3] => [1,2,6,4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[-,+,6,+,-,3] => [1,2,6,4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[+,-,6,-,+,3] => [1,2,6,4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[+,-,6,+,-,3] => [1,2,6,4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[+,+,6,-,-,3] => [1,2,6,4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[-,-,6,-,+,3] => [1,2,6,4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[-,-,6,+,-,3] => [1,2,6,4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[-,+,6,-,-,3] => [1,2,6,4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[+,-,6,-,-,3] => [1,2,6,4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[-,-,6,-,-,3] => [1,2,6,4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[+,+,6,5,3,4] => [1,2,6,5,3,4] => [1,2,5,3,4] => [1,2,5,3,4] => 0
[-,+,6,5,3,4] => [1,2,6,5,3,4] => [1,2,5,3,4] => [1,2,5,3,4] => 0
[+,-,6,5,3,4] => [1,2,6,5,3,4] => [1,2,5,3,4] => [1,2,5,3,4] => 0
[-,-,6,5,3,4] => [1,2,6,5,3,4] => [1,2,5,3,4] => [1,2,5,3,4] => 0
[+,+,6,5,4,3] => [1,2,6,5,4,3] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[-,+,6,5,4,3] => [1,2,6,5,4,3] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[+,-,6,5,4,3] => [1,2,6,5,4,3] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[-,-,6,5,4,3] => [1,2,6,5,4,3] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[+,3,2,+,+,+] => [1,3,2,4,5,6] => [1,3,2,4,5] => [1,3,2,4,5] => 0
[-,3,2,+,+,+] => [1,3,2,4,5,6] => [1,3,2,4,5] => [1,3,2,4,5] => 0
[+,3,2,-,+,+] => [1,3,2,4,5,6] => [1,3,2,4,5] => [1,3,2,4,5] => 0
[+,3,2,+,-,+] => [1,3,2,4,5,6] => [1,3,2,4,5] => [1,3,2,4,5] => 0
[+,3,2,+,+,-] => [1,3,2,4,5,6] => [1,3,2,4,5] => [1,3,2,4,5] => 0
[-,3,2,-,+,+] => [1,3,2,4,5,6] => [1,3,2,4,5] => [1,3,2,4,5] => 0
[-,3,2,+,-,+] => [1,3,2,4,5,6] => [1,3,2,4,5] => [1,3,2,4,5] => 0
[-,3,2,+,+,-] => [1,3,2,4,5,6] => [1,3,2,4,5] => [1,3,2,4,5] => 0
[+,3,2,-,-,+] => [1,3,2,4,5,6] => [1,3,2,4,5] => [1,3,2,4,5] => 0
[+,3,2,-,+,-] => [1,3,2,4,5,6] => [1,3,2,4,5] => [1,3,2,4,5] => 0
[+,3,2,+,-,-] => [1,3,2,4,5,6] => [1,3,2,4,5] => [1,3,2,4,5] => 0
[-,3,2,-,-,+] => [1,3,2,4,5,6] => [1,3,2,4,5] => [1,3,2,4,5] => 0
[-,3,2,-,+,-] => [1,3,2,4,5,6] => [1,3,2,4,5] => [1,3,2,4,5] => 0
[-,3,2,+,-,-] => [1,3,2,4,5,6] => [1,3,2,4,5] => [1,3,2,4,5] => 0
[+,3,2,-,-,-] => [1,3,2,4,5,6] => [1,3,2,4,5] => [1,3,2,4,5] => 0
[-,3,2,-,-,-] => [1,3,2,4,5,6] => [1,3,2,4,5] => [1,3,2,4,5] => 0
[+,3,2,+,6,5] => [1,3,2,4,6,5] => [1,3,2,4,5] => [1,3,2,4,5] => 0
[-,3,2,+,6,5] => [1,3,2,4,6,5] => [1,3,2,4,5] => [1,3,2,4,5] => 0
[+,3,2,-,6,5] => [1,3,2,4,6,5] => [1,3,2,4,5] => [1,3,2,4,5] => 0
[-,3,2,-,6,5] => [1,3,2,4,6,5] => [1,3,2,4,5] => [1,3,2,4,5] => 0
[+,3,2,5,4,+] => [1,3,2,5,4,6] => [1,3,2,5,4] => [1,3,2,5,4] => 0
[-,3,2,5,4,+] => [1,3,2,5,4,6] => [1,3,2,5,4] => [1,3,2,5,4] => 0
[+,3,2,5,4,-] => [1,3,2,5,4,6] => [1,3,2,5,4] => [1,3,2,5,4] => 0
[-,3,2,5,4,-] => [1,3,2,5,4,6] => [1,3,2,5,4] => [1,3,2,5,4] => 0
[+,3,2,5,6,4] => [1,3,2,5,6,4] => [1,3,2,5,4] => [1,3,2,5,4] => 0
[-,3,2,5,6,4] => [1,3,2,5,6,4] => [1,3,2,5,4] => [1,3,2,5,4] => 0
[+,3,2,6,4,5] => [1,3,2,6,4,5] => [1,3,2,4,5] => [1,3,2,4,5] => 0
[-,3,2,6,4,5] => [1,3,2,6,4,5] => [1,3,2,4,5] => [1,3,2,4,5] => 0
[+,3,2,6,+,4] => [1,3,2,6,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => 0
[-,3,2,6,+,4] => [1,3,2,6,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => 0
[+,3,2,6,-,4] => [1,3,2,6,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => 0
[-,3,2,6,-,4] => [1,3,2,6,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => 0
[+,3,4,2,+,+] => [1,3,4,2,5,6] => [1,3,4,2,5] => [1,3,4,2,5] => 0
[-,3,4,2,+,+] => [1,3,4,2,5,6] => [1,3,4,2,5] => [1,3,4,2,5] => 0
[+,3,4,2,-,+] => [1,3,4,2,5,6] => [1,3,4,2,5] => [1,3,4,2,5] => 0
[+,3,4,2,+,-] => [1,3,4,2,5,6] => [1,3,4,2,5] => [1,3,4,2,5] => 0
[-,3,4,2,-,+] => [1,3,4,2,5,6] => [1,3,4,2,5] => [1,3,4,2,5] => 0
[-,3,4,2,+,-] => [1,3,4,2,5,6] => [1,3,4,2,5] => [1,3,4,2,5] => 0
[+,3,4,2,-,-] => [1,3,4,2,5,6] => [1,3,4,2,5] => [1,3,4,2,5] => 0
[-,3,4,2,-,-] => [1,3,4,2,5,6] => [1,3,4,2,5] => [1,3,4,2,5] => 0
[+,3,4,2,6,5] => [1,3,4,2,6,5] => [1,3,4,2,5] => [1,3,4,2,5] => 0
[-,3,4,2,6,5] => [1,3,4,2,6,5] => [1,3,4,2,5] => [1,3,4,2,5] => 0
[+,3,4,5,2,+] => [1,3,4,5,2,6] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[-,3,4,5,2,+] => [1,3,4,5,2,6] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[+,3,4,5,2,-] => [1,3,4,5,2,6] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[-,3,4,5,2,-] => [1,3,4,5,2,6] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[+,3,4,5,6,2] => [1,3,4,5,6,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[-,3,4,5,6,2] => [1,3,4,5,6,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[+,3,4,6,2,5] => [1,3,4,6,2,5] => [1,3,4,2,5] => [1,3,4,2,5] => 0
[-,3,4,6,2,5] => [1,3,4,6,2,5] => [1,3,4,2,5] => [1,3,4,2,5] => 0
[+,3,4,6,+,2] => [1,3,4,6,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[-,3,4,6,+,2] => [1,3,4,6,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[+,3,4,6,-,2] => [1,3,4,6,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[-,3,4,6,-,2] => [1,3,4,6,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[+,3,5,2,4,+] => [1,3,5,2,4,6] => [1,3,5,2,4] => [1,3,5,2,4] => 0
[-,3,5,2,4,+] => [1,3,5,2,4,6] => [1,3,5,2,4] => [1,3,5,2,4] => 0
[+,3,5,2,4,-] => [1,3,5,2,4,6] => [1,3,5,2,4] => [1,3,5,2,4] => 0
[-,3,5,2,4,-] => [1,3,5,2,4,6] => [1,3,5,2,4] => [1,3,5,2,4] => 0
[+,3,5,2,6,4] => [1,3,5,2,6,4] => [1,3,5,2,4] => [1,3,5,2,4] => 0
[-,3,5,2,6,4] => [1,3,5,2,6,4] => [1,3,5,2,4] => [1,3,5,2,4] => 0
[+,3,5,+,2,+] => [1,3,5,4,2,6] => [1,3,5,4,2] => [1,3,5,4,2] => 0
[-,3,5,+,2,+] => [1,3,5,4,2,6] => [1,3,5,4,2] => [1,3,5,4,2] => 0
[+,3,5,-,2,+] => [1,3,5,4,2,6] => [1,3,5,4,2] => [1,3,5,4,2] => 0
[+,3,5,+,2,-] => [1,3,5,4,2,6] => [1,3,5,4,2] => [1,3,5,4,2] => 0
[-,3,5,-,2,+] => [1,3,5,4,2,6] => [1,3,5,4,2] => [1,3,5,4,2] => 0
[-,3,5,+,2,-] => [1,3,5,4,2,6] => [1,3,5,4,2] => [1,3,5,4,2] => 0
[+,3,5,-,2,-] => [1,3,5,4,2,6] => [1,3,5,4,2] => [1,3,5,4,2] => 0
[-,3,5,-,2,-] => [1,3,5,4,2,6] => [1,3,5,4,2] => [1,3,5,4,2] => 0
[+,3,5,+,6,2] => [1,3,5,4,6,2] => [1,3,5,4,2] => [1,3,5,4,2] => 0
[-,3,5,+,6,2] => [1,3,5,4,6,2] => [1,3,5,4,2] => [1,3,5,4,2] => 0
[+,3,5,-,6,2] => [1,3,5,4,6,2] => [1,3,5,4,2] => [1,3,5,4,2] => 0
[-,3,5,-,6,2] => [1,3,5,4,6,2] => [1,3,5,4,2] => [1,3,5,4,2] => 0
[+,3,5,6,2,4] => [1,3,5,6,2,4] => [1,3,5,2,4] => [1,3,5,2,4] => 0
[-,3,5,6,2,4] => [1,3,5,6,2,4] => [1,3,5,2,4] => [1,3,5,2,4] => 0
[+,3,5,6,4,2] => [1,3,5,6,4,2] => [1,3,5,4,2] => [1,3,5,4,2] => 0
[-,3,5,6,4,2] => [1,3,5,6,4,2] => [1,3,5,4,2] => [1,3,5,4,2] => 0
[+,3,6,2,4,5] => [1,3,6,2,4,5] => [1,3,2,4,5] => [1,3,2,4,5] => 0
[-,3,6,2,4,5] => [1,3,6,2,4,5] => [1,3,2,4,5] => [1,3,2,4,5] => 0
[+,3,6,2,+,4] => [1,3,6,2,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => 0
[-,3,6,2,+,4] => [1,3,6,2,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => 0
[+,3,6,2,-,4] => [1,3,6,2,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => 0
[-,3,6,2,-,4] => [1,3,6,2,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => 0
[+,3,6,+,2,5] => [1,3,6,4,2,5] => [1,3,4,2,5] => [1,3,4,2,5] => 0
[-,3,6,+,2,5] => [1,3,6,4,2,5] => [1,3,4,2,5] => [1,3,4,2,5] => 0
[+,3,6,-,2,5] => [1,3,6,4,2,5] => [1,3,4,2,5] => [1,3,4,2,5] => 0
[-,3,6,-,2,5] => [1,3,6,4,2,5] => [1,3,4,2,5] => [1,3,4,2,5] => 0
[+,3,6,+,+,2] => [1,3,6,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[-,3,6,+,+,2] => [1,3,6,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[+,3,6,-,+,2] => [1,3,6,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[+,3,6,+,-,2] => [1,3,6,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[-,3,6,-,+,2] => [1,3,6,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[-,3,6,+,-,2] => [1,3,6,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[+,3,6,-,-,2] => [1,3,6,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[-,3,6,-,-,2] => [1,3,6,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[+,3,6,5,2,4] => [1,3,6,5,2,4] => [1,3,5,2,4] => [1,3,5,2,4] => 0
[-,3,6,5,2,4] => [1,3,6,5,2,4] => [1,3,5,2,4] => [1,3,5,2,4] => 0
[+,3,6,5,4,2] => [1,3,6,5,4,2] => [1,3,5,4,2] => [1,3,5,4,2] => 0
[-,3,6,5,4,2] => [1,3,6,5,4,2] => [1,3,5,4,2] => [1,3,5,4,2] => 0
[+,4,2,3,+,+] => [1,4,2,3,5,6] => [1,4,2,3,5] => [1,4,2,3,5] => 0
[-,4,2,3,+,+] => [1,4,2,3,5,6] => [1,4,2,3,5] => [1,4,2,3,5] => 0
[+,4,2,3,-,+] => [1,4,2,3,5,6] => [1,4,2,3,5] => [1,4,2,3,5] => 0
[+,4,2,3,+,-] => [1,4,2,3,5,6] => [1,4,2,3,5] => [1,4,2,3,5] => 0
[-,4,2,3,-,+] => [1,4,2,3,5,6] => [1,4,2,3,5] => [1,4,2,3,5] => 0
[-,4,2,3,+,-] => [1,4,2,3,5,6] => [1,4,2,3,5] => [1,4,2,3,5] => 0
[+,4,2,3,-,-] => [1,4,2,3,5,6] => [1,4,2,3,5] => [1,4,2,3,5] => 0
[-,4,2,3,-,-] => [1,4,2,3,5,6] => [1,4,2,3,5] => [1,4,2,3,5] => 0
[+,4,2,3,6,5] => [1,4,2,3,6,5] => [1,4,2,3,5] => [1,4,2,3,5] => 0
[-,4,2,3,6,5] => [1,4,2,3,6,5] => [1,4,2,3,5] => [1,4,2,3,5] => 0
[+,4,2,5,3,+] => [1,4,2,5,3,6] => [1,4,2,5,3] => [1,4,2,5,3] => 0
[-,4,2,5,3,+] => [1,4,2,5,3,6] => [1,4,2,5,3] => [1,4,2,5,3] => 0
[+,4,2,5,3,-] => [1,4,2,5,3,6] => [1,4,2,5,3] => [1,4,2,5,3] => 0
[-,4,2,5,3,-] => [1,4,2,5,3,6] => [1,4,2,5,3] => [1,4,2,5,3] => 0
[+,4,2,5,6,3] => [1,4,2,5,6,3] => [1,4,2,5,3] => [1,4,2,5,3] => 0
[-,4,2,5,6,3] => [1,4,2,5,6,3] => [1,4,2,5,3] => [1,4,2,5,3] => 0
[+,4,2,6,3,5] => [1,4,2,6,3,5] => [1,4,2,3,5] => [1,4,2,3,5] => 0
[-,4,2,6,3,5] => [1,4,2,6,3,5] => [1,4,2,3,5] => [1,4,2,3,5] => 0
[+,4,2,6,+,3] => [1,4,2,6,5,3] => [1,4,2,5,3] => [1,4,2,5,3] => 0
[-,4,2,6,+,3] => [1,4,2,6,5,3] => [1,4,2,5,3] => [1,4,2,5,3] => 0
[+,4,2,6,-,3] => [1,4,2,6,5,3] => [1,4,2,5,3] => [1,4,2,5,3] => 0
[-,4,2,6,-,3] => [1,4,2,6,5,3] => [1,4,2,5,3] => [1,4,2,5,3] => 0
[+,4,+,2,+,+] => [1,4,3,2,5,6] => [1,4,3,2,5] => [1,4,3,2,5] => 0
[-,4,+,2,+,+] => [1,4,3,2,5,6] => [1,4,3,2,5] => [1,4,3,2,5] => 0
[+,4,-,2,+,+] => [1,4,3,2,5,6] => [1,4,3,2,5] => [1,4,3,2,5] => 0
[+,4,+,2,-,+] => [1,4,3,2,5,6] => [1,4,3,2,5] => [1,4,3,2,5] => 0
[+,4,+,2,+,-] => [1,4,3,2,5,6] => [1,4,3,2,5] => [1,4,3,2,5] => 0
[-,4,-,2,+,+] => [1,4,3,2,5,6] => [1,4,3,2,5] => [1,4,3,2,5] => 0
[-,4,+,2,-,+] => [1,4,3,2,5,6] => [1,4,3,2,5] => [1,4,3,2,5] => 0
[-,4,+,2,+,-] => [1,4,3,2,5,6] => [1,4,3,2,5] => [1,4,3,2,5] => 0
[+,4,-,2,-,+] => [1,4,3,2,5,6] => [1,4,3,2,5] => [1,4,3,2,5] => 0
[+,4,-,2,+,-] => [1,4,3,2,5,6] => [1,4,3,2,5] => [1,4,3,2,5] => 0
[+,4,+,2,-,-] => [1,4,3,2,5,6] => [1,4,3,2,5] => [1,4,3,2,5] => 0
[-,4,-,2,-,+] => [1,4,3,2,5,6] => [1,4,3,2,5] => [1,4,3,2,5] => 0
[-,4,-,2,+,-] => [1,4,3,2,5,6] => [1,4,3,2,5] => [1,4,3,2,5] => 0
[-,4,+,2,-,-] => [1,4,3,2,5,6] => [1,4,3,2,5] => [1,4,3,2,5] => 0
[+,4,-,2,-,-] => [1,4,3,2,5,6] => [1,4,3,2,5] => [1,4,3,2,5] => 0
[-,4,-,2,-,-] => [1,4,3,2,5,6] => [1,4,3,2,5] => [1,4,3,2,5] => 0
[+,4,+,2,6,5] => [1,4,3,2,6,5] => [1,4,3,2,5] => [1,4,3,2,5] => 0
[-,4,+,2,6,5] => [1,4,3,2,6,5] => [1,4,3,2,5] => [1,4,3,2,5] => 0
[+,4,-,2,6,5] => [1,4,3,2,6,5] => [1,4,3,2,5] => [1,4,3,2,5] => 0
[-,4,-,2,6,5] => [1,4,3,2,6,5] => [1,4,3,2,5] => [1,4,3,2,5] => 0
[+,4,+,5,2,+] => [1,4,3,5,2,6] => [1,4,3,5,2] => [1,4,3,5,2] => 0
[-,4,+,5,2,+] => [1,4,3,5,2,6] => [1,4,3,5,2] => [1,4,3,5,2] => 0
[+,4,-,5,2,+] => [1,4,3,5,2,6] => [1,4,3,5,2] => [1,4,3,5,2] => 0
[+,4,+,5,2,-] => [1,4,3,5,2,6] => [1,4,3,5,2] => [1,4,3,5,2] => 0
[-,4,-,5,2,+] => [1,4,3,5,2,6] => [1,4,3,5,2] => [1,4,3,5,2] => 0
[-,4,+,5,2,-] => [1,4,3,5,2,6] => [1,4,3,5,2] => [1,4,3,5,2] => 0
[+,4,-,5,2,-] => [1,4,3,5,2,6] => [1,4,3,5,2] => [1,4,3,5,2] => 0
[-,4,-,5,2,-] => [1,4,3,5,2,6] => [1,4,3,5,2] => [1,4,3,5,2] => 0
[+,4,+,5,6,2] => [1,4,3,5,6,2] => [1,4,3,5,2] => [1,4,3,5,2] => 0
[-,4,+,5,6,2] => [1,4,3,5,6,2] => [1,4,3,5,2] => [1,4,3,5,2] => 0
[+,4,-,5,6,2] => [1,4,3,5,6,2] => [1,4,3,5,2] => [1,4,3,5,2] => 0
[-,4,-,5,6,2] => [1,4,3,5,6,2] => [1,4,3,5,2] => [1,4,3,5,2] => 0
[+,4,+,6,2,5] => [1,4,3,6,2,5] => [1,4,3,2,5] => [1,4,3,2,5] => 0
[-,4,+,6,2,5] => [1,4,3,6,2,5] => [1,4,3,2,5] => [1,4,3,2,5] => 0
[+,4,-,6,2,5] => [1,4,3,6,2,5] => [1,4,3,2,5] => [1,4,3,2,5] => 0
[-,4,-,6,2,5] => [1,4,3,6,2,5] => [1,4,3,2,5] => [1,4,3,2,5] => 0
[+,4,+,6,+,2] => [1,4,3,6,5,2] => [1,4,3,5,2] => [1,4,3,5,2] => 0
[-,4,+,6,+,2] => [1,4,3,6,5,2] => [1,4,3,5,2] => [1,4,3,5,2] => 0
[+,4,-,6,+,2] => [1,4,3,6,5,2] => [1,4,3,5,2] => [1,4,3,5,2] => 0
[+,4,+,6,-,2] => [1,4,3,6,5,2] => [1,4,3,5,2] => [1,4,3,5,2] => 0
[-,4,-,6,+,2] => [1,4,3,6,5,2] => [1,4,3,5,2] => [1,4,3,5,2] => 0
[-,4,+,6,-,2] => [1,4,3,6,5,2] => [1,4,3,5,2] => [1,4,3,5,2] => 0
[+,4,-,6,-,2] => [1,4,3,6,5,2] => [1,4,3,5,2] => [1,4,3,5,2] => 0
[-,4,-,6,-,2] => [1,4,3,6,5,2] => [1,4,3,5,2] => [1,4,3,5,2] => 0
[+,4,5,2,3,+] => [1,4,5,2,3,6] => [1,4,5,2,3] => [1,4,5,2,3] => 0
[-,4,5,2,3,+] => [1,4,5,2,3,6] => [1,4,5,2,3] => [1,4,5,2,3] => 0
[+,4,5,2,3,-] => [1,4,5,2,3,6] => [1,4,5,2,3] => [1,4,5,2,3] => 0
[-,4,5,2,3,-] => [1,4,5,2,3,6] => [1,4,5,2,3] => [1,4,5,2,3] => 0
[+,4,5,2,6,3] => [1,4,5,2,6,3] => [1,4,5,2,3] => [1,4,5,2,3] => 0
[-,4,5,2,6,3] => [1,4,5,2,6,3] => [1,4,5,2,3] => [1,4,5,2,3] => 0
[+,4,5,3,2,+] => [1,4,5,3,2,6] => [1,4,5,3,2] => [1,4,5,3,2] => 0
[-,4,5,3,2,+] => [1,4,5,3,2,6] => [1,4,5,3,2] => [1,4,5,3,2] => 0
[+,4,5,3,2,-] => [1,4,5,3,2,6] => [1,4,5,3,2] => [1,4,5,3,2] => 0
[-,4,5,3,2,-] => [1,4,5,3,2,6] => [1,4,5,3,2] => [1,4,5,3,2] => 0
[+,4,5,3,6,2] => [1,4,5,3,6,2] => [1,4,5,3,2] => [1,4,5,3,2] => 0
[-,4,5,3,6,2] => [1,4,5,3,6,2] => [1,4,5,3,2] => [1,4,5,3,2] => 0
[+,4,5,6,2,3] => [1,4,5,6,2,3] => [1,4,5,2,3] => [1,4,5,2,3] => 0
[-,4,5,6,2,3] => [1,4,5,6,2,3] => [1,4,5,2,3] => [1,4,5,2,3] => 0
[+,4,5,6,3,2] => [1,4,5,6,3,2] => [1,4,5,3,2] => [1,4,5,3,2] => 0
[-,4,5,6,3,2] => [1,4,5,6,3,2] => [1,4,5,3,2] => [1,4,5,3,2] => 0
[+,4,6,2,3,5] => [1,4,6,2,3,5] => [1,4,2,3,5] => [1,4,2,3,5] => 0
[-,4,6,2,3,5] => [1,4,6,2,3,5] => [1,4,2,3,5] => [1,4,2,3,5] => 0
[+,4,6,2,+,3] => [1,4,6,2,5,3] => [1,4,2,5,3] => [1,4,2,5,3] => 0
[-,4,6,2,+,3] => [1,4,6,2,5,3] => [1,4,2,5,3] => [1,4,2,5,3] => 0
[+,4,6,2,-,3] => [1,4,6,2,5,3] => [1,4,2,5,3] => [1,4,2,5,3] => 0
[-,4,6,2,-,3] => [1,4,6,2,5,3] => [1,4,2,5,3] => [1,4,2,5,3] => 0
[+,4,6,3,2,5] => [1,4,6,3,2,5] => [1,4,3,2,5] => [1,4,3,2,5] => 0
[-,4,6,3,2,5] => [1,4,6,3,2,5] => [1,4,3,2,5] => [1,4,3,2,5] => 0
[+,4,6,3,+,2] => [1,4,6,3,5,2] => [1,4,3,5,2] => [1,4,3,5,2] => 0
[-,4,6,3,+,2] => [1,4,6,3,5,2] => [1,4,3,5,2] => [1,4,3,5,2] => 0
[+,4,6,3,-,2] => [1,4,6,3,5,2] => [1,4,3,5,2] => [1,4,3,5,2] => 0
[-,4,6,3,-,2] => [1,4,6,3,5,2] => [1,4,3,5,2] => [1,4,3,5,2] => 0
[+,4,6,5,2,3] => [1,4,6,5,2,3] => [1,4,5,2,3] => [1,4,5,2,3] => 0
[-,4,6,5,2,3] => [1,4,6,5,2,3] => [1,4,5,2,3] => [1,4,5,2,3] => 0
[+,4,6,5,3,2] => [1,4,6,5,3,2] => [1,4,5,3,2] => [1,4,5,3,2] => 0
[-,4,6,5,3,2] => [1,4,6,5,3,2] => [1,4,5,3,2] => [1,4,5,3,2] => 0
[+,5,2,3,4,+] => [1,5,2,3,4,6] => [1,5,2,3,4] => [1,5,2,3,4] => 0
[-,5,2,3,4,+] => [1,5,2,3,4,6] => [1,5,2,3,4] => [1,5,2,3,4] => 0
[+,5,2,3,4,-] => [1,5,2,3,4,6] => [1,5,2,3,4] => [1,5,2,3,4] => 0
[-,5,2,3,4,-] => [1,5,2,3,4,6] => [1,5,2,3,4] => [1,5,2,3,4] => 0
[+,5,2,3,6,4] => [1,5,2,3,6,4] => [1,5,2,3,4] => [1,5,2,3,4] => 0
[-,5,2,3,6,4] => [1,5,2,3,6,4] => [1,5,2,3,4] => [1,5,2,3,4] => 0
[+,5,2,+,3,+] => [1,5,2,4,3,6] => [1,5,2,4,3] => [1,5,2,4,3] => 0
[-,5,2,+,3,+] => [1,5,2,4,3,6] => [1,5,2,4,3] => [1,5,2,4,3] => 0
[+,5,2,-,3,+] => [1,5,2,4,3,6] => [1,5,2,4,3] => [1,5,2,4,3] => 0
[+,5,2,+,3,-] => [1,5,2,4,3,6] => [1,5,2,4,3] => [1,5,2,4,3] => 0
[-,5,2,-,3,+] => [1,5,2,4,3,6] => [1,5,2,4,3] => [1,5,2,4,3] => 0
[-,5,2,+,3,-] => [1,5,2,4,3,6] => [1,5,2,4,3] => [1,5,2,4,3] => 0
[+,5,2,-,3,-] => [1,5,2,4,3,6] => [1,5,2,4,3] => [1,5,2,4,3] => 0
[-,5,2,-,3,-] => [1,5,2,4,3,6] => [1,5,2,4,3] => [1,5,2,4,3] => 0
[+,5,2,+,6,3] => [1,5,2,4,6,3] => [1,5,2,4,3] => [1,5,2,4,3] => 0
[-,5,2,+,6,3] => [1,5,2,4,6,3] => [1,5,2,4,3] => [1,5,2,4,3] => 0
[+,5,2,-,6,3] => [1,5,2,4,6,3] => [1,5,2,4,3] => [1,5,2,4,3] => 0
[-,5,2,-,6,3] => [1,5,2,4,6,3] => [1,5,2,4,3] => [1,5,2,4,3] => 0
[+,5,2,6,3,4] => [1,5,2,6,3,4] => [1,5,2,3,4] => [1,5,2,3,4] => 0
[-,5,2,6,3,4] => [1,5,2,6,3,4] => [1,5,2,3,4] => [1,5,2,3,4] => 0
[+,5,2,6,4,3] => [1,5,2,6,4,3] => [1,5,2,4,3] => [1,5,2,4,3] => 0
[-,5,2,6,4,3] => [1,5,2,6,4,3] => [1,5,2,4,3] => [1,5,2,4,3] => 0
[+,5,+,2,4,+] => [1,5,3,2,4,6] => [1,5,3,2,4] => [1,5,3,2,4] => 0
[-,5,+,2,4,+] => [1,5,3,2,4,6] => [1,5,3,2,4] => [1,5,3,2,4] => 0
[+,5,-,2,4,+] => [1,5,3,2,4,6] => [1,5,3,2,4] => [1,5,3,2,4] => 0
[+,5,+,2,4,-] => [1,5,3,2,4,6] => [1,5,3,2,4] => [1,5,3,2,4] => 0
[-,5,-,2,4,+] => [1,5,3,2,4,6] => [1,5,3,2,4] => [1,5,3,2,4] => 0
[-,5,+,2,4,-] => [1,5,3,2,4,6] => [1,5,3,2,4] => [1,5,3,2,4] => 0
[+,5,-,2,4,-] => [1,5,3,2,4,6] => [1,5,3,2,4] => [1,5,3,2,4] => 0
[-,5,-,2,4,-] => [1,5,3,2,4,6] => [1,5,3,2,4] => [1,5,3,2,4] => 0
[+,5,+,2,6,4] => [1,5,3,2,6,4] => [1,5,3,2,4] => [1,5,3,2,4] => 0
[-,5,+,2,6,4] => [1,5,3,2,6,4] => [1,5,3,2,4] => [1,5,3,2,4] => 0
[+,5,-,2,6,4] => [1,5,3,2,6,4] => [1,5,3,2,4] => [1,5,3,2,4] => 0
[-,5,-,2,6,4] => [1,5,3,2,6,4] => [1,5,3,2,4] => [1,5,3,2,4] => 0
[+,5,+,+,2,+] => [1,5,3,4,2,6] => [1,5,3,4,2] => [1,5,3,4,2] => 0
[-,5,+,+,2,+] => [1,5,3,4,2,6] => [1,5,3,4,2] => [1,5,3,4,2] => 0
[+,5,-,+,2,+] => [1,5,3,4,2,6] => [1,5,3,4,2] => [1,5,3,4,2] => 0
[+,5,+,-,2,+] => [1,5,3,4,2,6] => [1,5,3,4,2] => [1,5,3,4,2] => 0
[+,5,+,+,2,-] => [1,5,3,4,2,6] => [1,5,3,4,2] => [1,5,3,4,2] => 0
[-,5,-,+,2,+] => [1,5,3,4,2,6] => [1,5,3,4,2] => [1,5,3,4,2] => 0
[-,5,+,-,2,+] => [1,5,3,4,2,6] => [1,5,3,4,2] => [1,5,3,4,2] => 0
[-,5,+,+,2,-] => [1,5,3,4,2,6] => [1,5,3,4,2] => [1,5,3,4,2] => 0
[+,5,-,-,2,+] => [1,5,3,4,2,6] => [1,5,3,4,2] => [1,5,3,4,2] => 0
[+,5,-,+,2,-] => [1,5,3,4,2,6] => [1,5,3,4,2] => [1,5,3,4,2] => 0
[+,5,+,-,2,-] => [1,5,3,4,2,6] => [1,5,3,4,2] => [1,5,3,4,2] => 0
[-,5,-,-,2,+] => [1,5,3,4,2,6] => [1,5,3,4,2] => [1,5,3,4,2] => 0
[-,5,-,+,2,-] => [1,5,3,4,2,6] => [1,5,3,4,2] => [1,5,3,4,2] => 0
[-,5,+,-,2,-] => [1,5,3,4,2,6] => [1,5,3,4,2] => [1,5,3,4,2] => 0
[+,5,-,-,2,-] => [1,5,3,4,2,6] => [1,5,3,4,2] => [1,5,3,4,2] => 0
[-,5,-,-,2,-] => [1,5,3,4,2,6] => [1,5,3,4,2] => [1,5,3,4,2] => 0
[+,5,+,+,6,2] => [1,5,3,4,6,2] => [1,5,3,4,2] => [1,5,3,4,2] => 0
[-,5,+,+,6,2] => [1,5,3,4,6,2] => [1,5,3,4,2] => [1,5,3,4,2] => 0
[+,5,-,+,6,2] => [1,5,3,4,6,2] => [1,5,3,4,2] => [1,5,3,4,2] => 0
[+,5,+,-,6,2] => [1,5,3,4,6,2] => [1,5,3,4,2] => [1,5,3,4,2] => 0
[-,5,-,+,6,2] => [1,5,3,4,6,2] => [1,5,3,4,2] => [1,5,3,4,2] => 0
[-,5,+,-,6,2] => [1,5,3,4,6,2] => [1,5,3,4,2] => [1,5,3,4,2] => 0
[+,5,-,-,6,2] => [1,5,3,4,6,2] => [1,5,3,4,2] => [1,5,3,4,2] => 0
[-,5,-,-,6,2] => [1,5,3,4,6,2] => [1,5,3,4,2] => [1,5,3,4,2] => 0
[+,5,+,6,2,4] => [1,5,3,6,2,4] => [1,5,3,2,4] => [1,5,3,2,4] => 0
[-,5,+,6,2,4] => [1,5,3,6,2,4] => [1,5,3,2,4] => [1,5,3,2,4] => 0
[+,5,-,6,2,4] => [1,5,3,6,2,4] => [1,5,3,2,4] => [1,5,3,2,4] => 0
[-,5,-,6,2,4] => [1,5,3,6,2,4] => [1,5,3,2,4] => [1,5,3,2,4] => 0
[+,5,+,6,4,2] => [1,5,3,6,4,2] => [1,5,3,4,2] => [1,5,3,4,2] => 0
[-,5,+,6,4,2] => [1,5,3,6,4,2] => [1,5,3,4,2] => [1,5,3,4,2] => 0
[+,5,-,6,4,2] => [1,5,3,6,4,2] => [1,5,3,4,2] => [1,5,3,4,2] => 0
[-,5,-,6,4,2] => [1,5,3,6,4,2] => [1,5,3,4,2] => [1,5,3,4,2] => 0
[+,5,4,2,3,+] => [1,5,4,2,3,6] => [1,5,4,2,3] => [1,5,4,2,3] => 0
[-,5,4,2,3,+] => [1,5,4,2,3,6] => [1,5,4,2,3] => [1,5,4,2,3] => 0
[+,5,4,2,3,-] => [1,5,4,2,3,6] => [1,5,4,2,3] => [1,5,4,2,3] => 0
[-,5,4,2,3,-] => [1,5,4,2,3,6] => [1,5,4,2,3] => [1,5,4,2,3] => 0
[+,5,4,2,6,3] => [1,5,4,2,6,3] => [1,5,4,2,3] => [1,5,4,2,3] => 0
[-,5,4,2,6,3] => [1,5,4,2,6,3] => [1,5,4,2,3] => [1,5,4,2,3] => 0
[+,5,4,3,2,+] => [1,5,4,3,2,6] => [1,5,4,3,2] => [1,5,4,3,2] => 0
[-,5,4,3,2,+] => [1,5,4,3,2,6] => [1,5,4,3,2] => [1,5,4,3,2] => 0
[+,5,4,3,2,-] => [1,5,4,3,2,6] => [1,5,4,3,2] => [1,5,4,3,2] => 0
[-,5,4,3,2,-] => [1,5,4,3,2,6] => [1,5,4,3,2] => [1,5,4,3,2] => 0
[+,5,4,3,6,2] => [1,5,4,3,6,2] => [1,5,4,3,2] => [1,5,4,3,2] => 0
[-,5,4,3,6,2] => [1,5,4,3,6,2] => [1,5,4,3,2] => [1,5,4,3,2] => 0
[+,5,4,6,2,3] => [1,5,4,6,2,3] => [1,5,4,2,3] => [1,5,4,2,3] => 0
[-,5,4,6,2,3] => [1,5,4,6,2,3] => [1,5,4,2,3] => [1,5,4,2,3] => 0
[+,5,4,6,3,2] => [1,5,4,6,3,2] => [1,5,4,3,2] => [1,5,4,3,2] => 0
[-,5,4,6,3,2] => [1,5,4,6,3,2] => [1,5,4,3,2] => [1,5,4,3,2] => 0
[+,5,6,2,3,4] => [1,5,6,2,3,4] => [1,5,2,3,4] => [1,5,2,3,4] => 0
[-,5,6,2,3,4] => [1,5,6,2,3,4] => [1,5,2,3,4] => [1,5,2,3,4] => 0
[+,5,6,2,4,3] => [1,5,6,2,4,3] => [1,5,2,4,3] => [1,5,2,4,3] => 0
[-,5,6,2,4,3] => [1,5,6,2,4,3] => [1,5,2,4,3] => [1,5,2,4,3] => 0
[+,5,6,3,2,4] => [1,5,6,3,2,4] => [1,5,3,2,4] => [1,5,3,2,4] => 0
[-,5,6,3,2,4] => [1,5,6,3,2,4] => [1,5,3,2,4] => [1,5,3,2,4] => 0
[+,5,6,3,4,2] => [1,5,6,3,4,2] => [1,5,3,4,2] => [1,5,3,4,2] => 0
[-,5,6,3,4,2] => [1,5,6,3,4,2] => [1,5,3,4,2] => [1,5,3,4,2] => 0
[+,5,6,+,2,3] => [1,5,6,4,2,3] => [1,5,4,2,3] => [1,5,4,2,3] => 0
[-,5,6,+,2,3] => [1,5,6,4,2,3] => [1,5,4,2,3] => [1,5,4,2,3] => 0
[+,5,6,-,2,3] => [1,5,6,4,2,3] => [1,5,4,2,3] => [1,5,4,2,3] => 0
[-,5,6,-,2,3] => [1,5,6,4,2,3] => [1,5,4,2,3] => [1,5,4,2,3] => 0
[+,5,6,+,3,2] => [1,5,6,4,3,2] => [1,5,4,3,2] => [1,5,4,3,2] => 0
[-,5,6,+,3,2] => [1,5,6,4,3,2] => [1,5,4,3,2] => [1,5,4,3,2] => 0
[+,5,6,-,3,2] => [1,5,6,4,3,2] => [1,5,4,3,2] => [1,5,4,3,2] => 0
[-,5,6,-,3,2] => [1,5,6,4,3,2] => [1,5,4,3,2] => [1,5,4,3,2] => 0
[+,6,2,3,4,5] => [1,6,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[-,6,2,3,4,5] => [1,6,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[+,6,2,3,+,4] => [1,6,2,3,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[-,6,2,3,+,4] => [1,6,2,3,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[+,6,2,3,-,4] => [1,6,2,3,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[-,6,2,3,-,4] => [1,6,2,3,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[+,6,2,+,3,5] => [1,6,2,4,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[-,6,2,+,3,5] => [1,6,2,4,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[+,6,2,-,3,5] => [1,6,2,4,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[-,6,2,-,3,5] => [1,6,2,4,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[+,6,2,+,+,3] => [1,6,2,4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[-,6,2,+,+,3] => [1,6,2,4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[+,6,2,-,+,3] => [1,6,2,4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[+,6,2,+,-,3] => [1,6,2,4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[-,6,2,-,+,3] => [1,6,2,4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[-,6,2,+,-,3] => [1,6,2,4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[+,6,2,-,-,3] => [1,6,2,4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[-,6,2,-,-,3] => [1,6,2,4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[+,6,2,5,3,4] => [1,6,2,5,3,4] => [1,2,5,3,4] => [1,2,5,3,4] => 0
[-,6,2,5,3,4] => [1,6,2,5,3,4] => [1,2,5,3,4] => [1,2,5,3,4] => 0
[+,6,2,5,4,3] => [1,6,2,5,4,3] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[-,6,2,5,4,3] => [1,6,2,5,4,3] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[+,6,+,2,4,5] => [1,6,3,2,4,5] => [1,3,2,4,5] => [1,3,2,4,5] => 0
[-,6,+,2,4,5] => [1,6,3,2,4,5] => [1,3,2,4,5] => [1,3,2,4,5] => 0
[+,6,-,2,4,5] => [1,6,3,2,4,5] => [1,3,2,4,5] => [1,3,2,4,5] => 0
[-,6,-,2,4,5] => [1,6,3,2,4,5] => [1,3,2,4,5] => [1,3,2,4,5] => 0
[+,6,+,2,+,4] => [1,6,3,2,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => 0
[-,6,+,2,+,4] => [1,6,3,2,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => 0
[+,6,-,2,+,4] => [1,6,3,2,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => 0
[+,6,+,2,-,4] => [1,6,3,2,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => 0
[-,6,-,2,+,4] => [1,6,3,2,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => 0
[-,6,+,2,-,4] => [1,6,3,2,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => 0
[+,6,-,2,-,4] => [1,6,3,2,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => 0
[-,6,-,2,-,4] => [1,6,3,2,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => 0
[+,6,+,+,2,5] => [1,6,3,4,2,5] => [1,3,4,2,5] => [1,3,4,2,5] => 0
[-,6,+,+,2,5] => [1,6,3,4,2,5] => [1,3,4,2,5] => [1,3,4,2,5] => 0
[+,6,-,+,2,5] => [1,6,3,4,2,5] => [1,3,4,2,5] => [1,3,4,2,5] => 0
[+,6,+,-,2,5] => [1,6,3,4,2,5] => [1,3,4,2,5] => [1,3,4,2,5] => 0
[-,6,-,+,2,5] => [1,6,3,4,2,5] => [1,3,4,2,5] => [1,3,4,2,5] => 0
[-,6,+,-,2,5] => [1,6,3,4,2,5] => [1,3,4,2,5] => [1,3,4,2,5] => 0
[+,6,-,-,2,5] => [1,6,3,4,2,5] => [1,3,4,2,5] => [1,3,4,2,5] => 0
[-,6,-,-,2,5] => [1,6,3,4,2,5] => [1,3,4,2,5] => [1,3,4,2,5] => 0
[+,6,+,+,+,2] => [1,6,3,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[-,6,+,+,+,2] => [1,6,3,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[+,6,-,+,+,2] => [1,6,3,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[+,6,+,-,+,2] => [1,6,3,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[+,6,+,+,-,2] => [1,6,3,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[-,6,-,+,+,2] => [1,6,3,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[-,6,+,-,+,2] => [1,6,3,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[-,6,+,+,-,2] => [1,6,3,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[+,6,-,-,+,2] => [1,6,3,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[+,6,-,+,-,2] => [1,6,3,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[+,6,+,-,-,2] => [1,6,3,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[-,6,-,-,+,2] => [1,6,3,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[-,6,-,+,-,2] => [1,6,3,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[-,6,+,-,-,2] => [1,6,3,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[+,6,-,-,-,2] => [1,6,3,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[-,6,-,-,-,2] => [1,6,3,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[+,6,+,5,2,4] => [1,6,3,5,2,4] => [1,3,5,2,4] => [1,3,5,2,4] => 0
[-,6,+,5,2,4] => [1,6,3,5,2,4] => [1,3,5,2,4] => [1,3,5,2,4] => 0
[+,6,-,5,2,4] => [1,6,3,5,2,4] => [1,3,5,2,4] => [1,3,5,2,4] => 0
[-,6,-,5,2,4] => [1,6,3,5,2,4] => [1,3,5,2,4] => [1,3,5,2,4] => 0
[+,6,+,5,4,2] => [1,6,3,5,4,2] => [1,3,5,4,2] => [1,3,5,4,2] => 0
[-,6,+,5,4,2] => [1,6,3,5,4,2] => [1,3,5,4,2] => [1,3,5,4,2] => 0
[+,6,-,5,4,2] => [1,6,3,5,4,2] => [1,3,5,4,2] => [1,3,5,4,2] => 0
[-,6,-,5,4,2] => [1,6,3,5,4,2] => [1,3,5,4,2] => [1,3,5,4,2] => 0
[+,6,4,2,3,5] => [1,6,4,2,3,5] => [1,4,2,3,5] => [1,4,2,3,5] => 0
[-,6,4,2,3,5] => [1,6,4,2,3,5] => [1,4,2,3,5] => [1,4,2,3,5] => 0
[+,6,4,2,+,3] => [1,6,4,2,5,3] => [1,4,2,5,3] => [1,4,2,5,3] => 0
[-,6,4,2,+,3] => [1,6,4,2,5,3] => [1,4,2,5,3] => [1,4,2,5,3] => 0
[+,6,4,2,-,3] => [1,6,4,2,5,3] => [1,4,2,5,3] => [1,4,2,5,3] => 0
[-,6,4,2,-,3] => [1,6,4,2,5,3] => [1,4,2,5,3] => [1,4,2,5,3] => 0
[+,6,4,3,2,5] => [1,6,4,3,2,5] => [1,4,3,2,5] => [1,4,3,2,5] => 0
[-,6,4,3,2,5] => [1,6,4,3,2,5] => [1,4,3,2,5] => [1,4,3,2,5] => 0
[+,6,4,3,+,2] => [1,6,4,3,5,2] => [1,4,3,5,2] => [1,4,3,5,2] => 0
[-,6,4,3,+,2] => [1,6,4,3,5,2] => [1,4,3,5,2] => [1,4,3,5,2] => 0
[+,6,4,3,-,2] => [1,6,4,3,5,2] => [1,4,3,5,2] => [1,4,3,5,2] => 0
[-,6,4,3,-,2] => [1,6,4,3,5,2] => [1,4,3,5,2] => [1,4,3,5,2] => 0
[+,6,4,5,2,3] => [1,6,4,5,2,3] => [1,4,5,2,3] => [1,4,5,2,3] => 0
[-,6,4,5,2,3] => [1,6,4,5,2,3] => [1,4,5,2,3] => [1,4,5,2,3] => 0
[+,6,4,5,3,2] => [1,6,4,5,3,2] => [1,4,5,3,2] => [1,4,5,3,2] => 0
[-,6,4,5,3,2] => [1,6,4,5,3,2] => [1,4,5,3,2] => [1,4,5,3,2] => 0
[+,6,5,2,3,4] => [1,6,5,2,3,4] => [1,5,2,3,4] => [1,5,2,3,4] => 0
[-,6,5,2,3,4] => [1,6,5,2,3,4] => [1,5,2,3,4] => [1,5,2,3,4] => 0
[+,6,5,2,4,3] => [1,6,5,2,4,3] => [1,5,2,4,3] => [1,5,2,4,3] => 0
[-,6,5,2,4,3] => [1,6,5,2,4,3] => [1,5,2,4,3] => [1,5,2,4,3] => 0
[+,6,5,3,2,4] => [1,6,5,3,2,4] => [1,5,3,2,4] => [1,5,3,2,4] => 0
[-,6,5,3,2,4] => [1,6,5,3,2,4] => [1,5,3,2,4] => [1,5,3,2,4] => 0
[+,6,5,3,4,2] => [1,6,5,3,4,2] => [1,5,3,4,2] => [1,5,3,4,2] => 0
[-,6,5,3,4,2] => [1,6,5,3,4,2] => [1,5,3,4,2] => [1,5,3,4,2] => 0
[+,6,5,+,2,3] => [1,6,5,4,2,3] => [1,5,4,2,3] => [1,5,4,2,3] => 0
[-,6,5,+,2,3] => [1,6,5,4,2,3] => [1,5,4,2,3] => [1,5,4,2,3] => 0
[+,6,5,-,2,3] => [1,6,5,4,2,3] => [1,5,4,2,3] => [1,5,4,2,3] => 0
[-,6,5,-,2,3] => [1,6,5,4,2,3] => [1,5,4,2,3] => [1,5,4,2,3] => 0
[+,6,5,+,3,2] => [1,6,5,4,3,2] => [1,5,4,3,2] => [1,5,4,3,2] => 0
[-,6,5,+,3,2] => [1,6,5,4,3,2] => [1,5,4,3,2] => [1,5,4,3,2] => 0
[+,6,5,-,3,2] => [1,6,5,4,3,2] => [1,5,4,3,2] => [1,5,4,3,2] => 0
[-,6,5,-,3,2] => [1,6,5,4,3,2] => [1,5,4,3,2] => [1,5,4,3,2] => 0
[6,1,2,3,4,5] => [6,1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => 0
[6,1,2,3,+,4] => [6,1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[6,1,2,3,-,4] => [6,1,2,3,5,4] => [1,2,3,5,4] => [1,2,3,5,4] => 0
[6,1,2,+,3,5] => [6,1,2,4,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[6,1,2,-,3,5] => [6,1,2,4,3,5] => [1,2,4,3,5] => [1,2,4,3,5] => 0
[6,1,2,+,+,3] => [6,1,2,4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[6,1,2,-,+,3] => [6,1,2,4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[6,1,2,+,-,3] => [6,1,2,4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[6,1,2,-,-,3] => [6,1,2,4,5,3] => [1,2,4,5,3] => [1,2,4,5,3] => 0
[6,1,2,5,3,4] => [6,1,2,5,3,4] => [1,2,5,3,4] => [1,2,5,3,4] => 0
[6,1,2,5,4,3] => [6,1,2,5,4,3] => [1,2,5,4,3] => [1,2,5,4,3] => 0
[6,1,+,2,4,5] => [6,1,3,2,4,5] => [1,3,2,4,5] => [1,3,2,4,5] => 0
[6,1,-,2,4,5] => [6,1,3,2,4,5] => [1,3,2,4,5] => [1,3,2,4,5] => 0
[6,1,+,2,+,4] => [6,1,3,2,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => 0
[6,1,-,2,+,4] => [6,1,3,2,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => 0
[6,1,+,2,-,4] => [6,1,3,2,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => 0
[6,1,-,2,-,4] => [6,1,3,2,5,4] => [1,3,2,5,4] => [1,3,2,5,4] => 0
[6,1,+,+,2,5] => [6,1,3,4,2,5] => [1,3,4,2,5] => [1,3,4,2,5] => 0
[6,1,-,+,2,5] => [6,1,3,4,2,5] => [1,3,4,2,5] => [1,3,4,2,5] => 0
[6,1,+,-,2,5] => [6,1,3,4,2,5] => [1,3,4,2,5] => [1,3,4,2,5] => 0
[6,1,-,-,2,5] => [6,1,3,4,2,5] => [1,3,4,2,5] => [1,3,4,2,5] => 0
[6,1,+,+,+,2] => [6,1,3,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[6,1,-,+,+,2] => [6,1,3,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[6,1,+,-,+,2] => [6,1,3,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[6,1,+,+,-,2] => [6,1,3,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[6,1,-,-,+,2] => [6,1,3,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[6,1,-,+,-,2] => [6,1,3,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[6,1,+,-,-,2] => [6,1,3,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[6,1,-,-,-,2] => [6,1,3,4,5,2] => [1,3,4,5,2] => [1,3,4,5,2] => 0
[6,1,+,5,2,4] => [6,1,3,5,2,4] => [1,3,5,2,4] => [1,3,5,2,4] => 0
[6,1,-,5,2,4] => [6,1,3,5,2,4] => [1,3,5,2,4] => [1,3,5,2,4] => 0
[6,1,+,5,4,2] => [6,1,3,5,4,2] => [1,3,5,4,2] => [1,3,5,4,2] => 0
[6,1,-,5,4,2] => [6,1,3,5,4,2] => [1,3,5,4,2] => [1,3,5,4,2] => 0
[6,1,4,2,3,5] => [6,1,4,2,3,5] => [1,4,2,3,5] => [1,4,2,3,5] => 0
[6,1,4,2,+,3] => [6,1,4,2,5,3] => [1,4,2,5,3] => [1,4,2,5,3] => 0
[6,1,4,2,-,3] => [6,1,4,2,5,3] => [1,4,2,5,3] => [1,4,2,5,3] => 0
[6,1,4,3,2,5] => [6,1,4,3,2,5] => [1,4,3,2,5] => [1,4,3,2,5] => 0
[6,1,4,3,+,2] => [6,1,4,3,5,2] => [1,4,3,5,2] => [1,4,3,5,2] => 0
[6,1,4,3,-,2] => [6,1,4,3,5,2] => [1,4,3,5,2] => [1,4,3,5,2] => 0
[6,1,4,5,2,3] => [6,1,4,5,2,3] => [1,4,5,2,3] => [1,4,5,2,3] => 0
[6,1,4,5,3,2] => [6,1,4,5,3,2] => [1,4,5,3,2] => [1,4,5,3,2] => 0
[6,1,5,2,3,4] => [6,1,5,2,3,4] => [1,5,2,3,4] => [1,5,2,3,4] => 0
[6,1,5,2,4,3] => [6,1,5,2,4,3] => [1,5,2,4,3] => [1,5,2,4,3] => 0
[6,1,5,3,2,4] => [6,1,5,3,2,4] => [1,5,3,2,4] => [1,5,3,2,4] => 0
[6,1,5,3,4,2] => [6,1,5,3,4,2] => [1,5,3,4,2] => [1,5,3,4,2] => 0
[6,1,5,+,2,3] => [6,1,5,4,2,3] => [1,5,4,2,3] => [1,5,4,2,3] => 0
[6,1,5,-,2,3] => [6,1,5,4,2,3] => [1,5,4,2,3] => [1,5,4,2,3] => 0
[6,1,5,+,3,2] => [6,1,5,4,3,2] => [1,5,4,3,2] => [1,5,4,3,2] => 0
[6,1,5,-,3,2] => [6,1,5,4,3,2] => [1,5,4,3,2] => [1,5,4,3,2] => 0
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searching the database for the individual values of this statistic
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searching the database for statistics with the same generating function
Generating function
$F_{2} = 5$
$F_{3} = 16$
$F_{4} = 65$
$F_{5} = 326$
Description
The number of positive entries followed by a negative entry in a signed permutation.
For a signed permutation $\pi\in\mathfrak H_n$, this is the number of positive entries followed by a negative entry in $\pi(-n),\dots,\pi(-1),\pi(1),\dots,\pi(n)$.
For a signed permutation $\pi\in\mathfrak H_n$, this is the number of positive entries followed by a negative entry in $\pi(-n),\dots,\pi(-1),\pi(1),\dots,\pi(n)$.
Map
to signed permutation
Description
The signed permutation with all signs positive.
Map
permutation
Description
The underlying permutation of the decorated permutation.
Map
restriction
Description
The permutation obtained by removing the largest letter.
This map is undefined for the empty permutation.
This map is undefined for the empty permutation.
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