Identifier
Values
[+] => [1] => 1
[-] => [1] => 1
[+,+] => [1,2] => 1
[-,+] => [2,1] => 2
[+,-] => [1,2] => 1
[-,-] => [1,2] => 1
[2,1] => [1,2] => 1
[+,+,+] => [1,2,3] => 1
[-,+,+] => [2,3,1] => 4
[+,-,+] => [1,3,2] => 2
[+,+,-] => [1,2,3] => 1
[-,-,+] => [3,1,2] => 4
[-,+,-] => [2,1,3] => 2
[+,-,-] => [1,2,3] => 1
[-,-,-] => [1,2,3] => 1
[+,3,2] => [1,2,3] => 1
[-,3,2] => [2,1,3] => 2
[2,1,+] => [1,3,2] => 2
[2,1,-] => [1,2,3] => 1
[2,3,1] => [1,2,3] => 1
[3,1,2] => [1,2,3] => 1
[3,+,1] => [2,1,3] => 2
[3,-,1] => [1,3,2] => 2
[+,+,+,+] => [1,2,3,4] => 1
[-,+,+,+] => [2,3,4,1] => 8
[+,-,+,+] => [1,3,4,2] => 4
[+,+,-,+] => [1,2,4,3] => 2
[+,+,+,-] => [1,2,3,4] => 1
[-,-,+,+] => [3,4,1,2] => 14
[-,+,-,+] => [2,4,1,3] => 8
[-,+,+,-] => [2,3,1,4] => 4
[+,-,-,+] => [1,4,2,3] => 4
[+,-,+,-] => [1,3,2,4] => 2
[+,+,-,-] => [1,2,3,4] => 1
[-,-,-,+] => [4,1,2,3] => 8
[-,-,+,-] => [3,1,2,4] => 4
[-,+,-,-] => [2,1,3,4] => 2
[+,-,-,-] => [1,2,3,4] => 1
[-,-,-,-] => [1,2,3,4] => 1
[+,+,4,3] => [1,2,3,4] => 1
[-,+,4,3] => [2,3,1,4] => 4
[+,-,4,3] => [1,3,2,4] => 2
[-,-,4,3] => [3,1,2,4] => 4
[+,3,2,+] => [1,2,4,3] => 2
[-,3,2,+] => [2,4,1,3] => 8
[+,3,2,-] => [1,2,3,4] => 1
[-,3,2,-] => [2,1,3,4] => 2
[+,3,4,2] => [1,2,3,4] => 1
[-,3,4,2] => [2,1,3,4] => 2
[+,4,2,3] => [1,2,3,4] => 1
[-,4,2,3] => [2,3,1,4] => 4
[+,4,+,2] => [1,3,2,4] => 2
[-,4,+,2] => [3,2,1,4] => 6
[+,4,-,2] => [1,2,4,3] => 2
[-,4,-,2] => [2,1,4,3] => 4
[2,1,+,+] => [1,3,4,2] => 4
[2,1,-,+] => [1,4,2,3] => 4
[2,1,+,-] => [1,3,2,4] => 2
[2,1,-,-] => [1,2,3,4] => 1
[2,1,4,3] => [1,3,2,4] => 2
[2,3,1,+] => [1,4,2,3] => 4
[2,3,1,-] => [1,2,3,4] => 1
[2,3,4,1] => [1,2,3,4] => 1
[2,4,1,3] => [1,3,2,4] => 2
[2,4,+,1] => [3,1,2,4] => 4
[2,4,-,1] => [1,2,4,3] => 2
[3,1,2,+] => [1,2,4,3] => 2
[3,1,2,-] => [1,2,3,4] => 1
[3,1,4,2] => [1,2,3,4] => 1
[3,+,1,+] => [2,1,4,3] => 4
[3,-,1,+] => [1,4,3,2] => 6
[3,+,1,-] => [2,1,3,4] => 2
[3,-,1,-] => [1,3,2,4] => 2
[3,+,4,1] => [2,1,3,4] => 2
[3,-,4,1] => [1,3,2,4] => 2
[3,4,1,2] => [1,2,3,4] => 1
[3,4,2,1] => [2,1,3,4] => 2
[4,1,2,3] => [1,2,3,4] => 1
[4,1,+,2] => [1,3,2,4] => 2
[4,1,-,2] => [1,2,4,3] => 2
[4,+,1,3] => [2,1,3,4] => 2
[4,-,1,3] => [1,3,4,2] => 4
[4,+,+,1] => [2,3,1,4] => 4
[4,-,+,1] => [3,1,4,2] => 8
[4,+,-,1] => [2,1,4,3] => 4
[4,-,-,1] => [1,4,2,3] => 4
[4,3,1,2] => [1,2,4,3] => 2
[4,3,2,1] => [2,1,4,3] => 4
[+,+,+,+,+] => [1,2,3,4,5] => 1
[-,+,+,+,+] => [2,3,4,5,1] => 16
[+,-,+,+,+] => [1,3,4,5,2] => 8
[+,+,-,+,+] => [1,2,4,5,3] => 4
[+,+,+,-,+] => [1,2,3,5,4] => 2
[+,+,+,+,-] => [1,2,3,4,5] => 1
[-,-,+,+,+] => [3,4,5,1,2] => 46
[-,+,-,+,+] => [2,4,5,1,3] => 28
[-,+,+,-,+] => [2,3,5,1,4] => 16
[-,+,+,+,-] => [2,3,4,1,5] => 8
[+,-,-,+,+] => [1,4,5,2,3] => 14
[+,-,+,-,+] => [1,3,5,2,4] => 8
[+,-,+,+,-] => [1,3,4,2,5] => 4
>>> Load all 2371 entries. <<<
[+,+,-,-,+] => [1,2,5,3,4] => 4
[+,+,-,+,-] => [1,2,4,3,5] => 2
[+,+,+,-,-] => [1,2,3,4,5] => 1
[-,-,-,+,+] => [4,5,1,2,3] => 46
[-,-,+,-,+] => [3,5,1,2,4] => 28
[-,-,+,+,-] => [3,4,1,2,5] => 14
[-,+,-,-,+] => [2,5,1,3,4] => 16
[-,+,-,+,-] => [2,4,1,3,5] => 8
[-,+,+,-,-] => [2,3,1,4,5] => 4
[+,-,-,-,+] => [1,5,2,3,4] => 8
[+,-,-,+,-] => [1,4,2,3,5] => 4
[+,-,+,-,-] => [1,3,2,4,5] => 2
[+,+,-,-,-] => [1,2,3,4,5] => 1
[-,-,-,-,+] => [5,1,2,3,4] => 16
[-,-,-,+,-] => [4,1,2,3,5] => 8
[-,-,+,-,-] => [3,1,2,4,5] => 4
[-,+,-,-,-] => [2,1,3,4,5] => 2
[+,-,-,-,-] => [1,2,3,4,5] => 1
[-,-,-,-,-] => [1,2,3,4,5] => 1
[+,+,+,5,4] => [1,2,3,4,5] => 1
[-,+,+,5,4] => [2,3,4,1,5] => 8
[+,-,+,5,4] => [1,3,4,2,5] => 4
[+,+,-,5,4] => [1,2,4,3,5] => 2
[-,-,+,5,4] => [3,4,1,2,5] => 14
[-,+,-,5,4] => [2,4,1,3,5] => 8
[+,-,-,5,4] => [1,4,2,3,5] => 4
[-,-,-,5,4] => [4,1,2,3,5] => 8
[+,+,4,3,+] => [1,2,3,5,4] => 2
[-,+,4,3,+] => [2,3,5,1,4] => 16
[+,-,4,3,+] => [1,3,5,2,4] => 8
[+,+,4,3,-] => [1,2,3,4,5] => 1
[-,-,4,3,+] => [3,5,1,2,4] => 28
[-,+,4,3,-] => [2,3,1,4,5] => 4
[+,-,4,3,-] => [1,3,2,4,5] => 2
[-,-,4,3,-] => [3,1,2,4,5] => 4
[+,+,4,5,3] => [1,2,3,4,5] => 1
[-,+,4,5,3] => [2,3,1,4,5] => 4
[+,-,4,5,3] => [1,3,2,4,5] => 2
[-,-,4,5,3] => [3,1,2,4,5] => 4
[+,+,5,3,4] => [1,2,3,4,5] => 1
[-,+,5,3,4] => [2,3,4,1,5] => 8
[+,-,5,3,4] => [1,3,4,2,5] => 4
[-,-,5,3,4] => [3,4,1,2,5] => 14
[+,+,5,+,3] => [1,2,4,3,5] => 2
[-,+,5,+,3] => [2,4,3,1,5] => 12
[+,-,5,+,3] => [1,4,3,2,5] => 6
[+,+,5,-,3] => [1,2,3,5,4] => 2
[-,-,5,+,3] => [4,3,1,2,5] => 18
[-,+,5,-,3] => [2,3,1,5,4] => 8
[+,-,5,-,3] => [1,3,2,5,4] => 4
[-,-,5,-,3] => [3,1,2,5,4] => 8
[+,3,2,+,+] => [1,2,4,5,3] => 4
[-,3,2,+,+] => [2,4,5,1,3] => 28
[+,3,2,-,+] => [1,2,5,3,4] => 4
[+,3,2,+,-] => [1,2,4,3,5] => 2
[-,3,2,-,+] => [2,5,1,3,4] => 16
[-,3,2,+,-] => [2,4,1,3,5] => 8
[+,3,2,-,-] => [1,2,3,4,5] => 1
[-,3,2,-,-] => [2,1,3,4,5] => 2
[+,3,2,5,4] => [1,2,4,3,5] => 2
[-,3,2,5,4] => [2,4,1,3,5] => 8
[+,3,4,2,+] => [1,2,5,3,4] => 4
[-,3,4,2,+] => [2,5,1,3,4] => 16
[+,3,4,2,-] => [1,2,3,4,5] => 1
[-,3,4,2,-] => [2,1,3,4,5] => 2
[+,3,4,5,2] => [1,2,3,4,5] => 1
[-,3,4,5,2] => [2,1,3,4,5] => 2
[+,3,5,2,4] => [1,2,4,3,5] => 2
[-,3,5,2,4] => [2,4,1,3,5] => 8
[+,3,5,+,2] => [1,4,2,3,5] => 4
[-,3,5,+,2] => [4,2,1,3,5] => 12
[+,3,5,-,2] => [1,2,3,5,4] => 2
[-,3,5,-,2] => [2,1,3,5,4] => 4
[+,4,2,3,+] => [1,2,3,5,4] => 2
[-,4,2,3,+] => [2,3,5,1,4] => 16
[+,4,2,3,-] => [1,2,3,4,5] => 1
[-,4,2,3,-] => [2,3,1,4,5] => 4
[+,4,2,5,3] => [1,2,3,4,5] => 1
[-,4,2,5,3] => [2,3,1,4,5] => 4
[+,4,+,2,+] => [1,3,2,5,4] => 4
[-,4,+,2,+] => [3,2,5,1,4] => 24
[+,4,-,2,+] => [1,2,5,4,3] => 6
[+,4,+,2,-] => [1,3,2,4,5] => 2
[-,4,-,2,+] => [2,5,1,4,3] => 24
[-,4,+,2,-] => [3,2,1,4,5] => 6
[+,4,-,2,-] => [1,2,4,3,5] => 2
[-,4,-,2,-] => [2,1,4,3,5] => 4
[+,4,+,5,2] => [1,3,2,4,5] => 2
[-,4,+,5,2] => [3,2,1,4,5] => 6
[+,4,-,5,2] => [1,2,4,3,5] => 2
[-,4,-,5,2] => [2,1,4,3,5] => 4
[+,4,5,2,3] => [1,2,3,4,5] => 1
[-,4,5,2,3] => [2,3,1,4,5] => 4
[+,4,5,3,2] => [1,3,2,4,5] => 2
[-,4,5,3,2] => [3,2,1,4,5] => 6
[+,5,2,3,4] => [1,2,3,4,5] => 1
[-,5,2,3,4] => [2,3,4,1,5] => 8
[+,5,2,+,3] => [1,2,4,3,5] => 2
[-,5,2,+,3] => [2,4,3,1,5] => 12
[+,5,2,-,3] => [1,2,3,5,4] => 2
[-,5,2,-,3] => [2,3,1,5,4] => 8
[+,5,+,2,4] => [1,3,2,4,5] => 2
[-,5,+,2,4] => [3,2,4,1,5] => 12
[+,5,-,2,4] => [1,2,4,5,3] => 4
[-,5,-,2,4] => [2,4,1,5,3] => 16
[+,5,+,+,2] => [1,3,4,2,5] => 4
[-,5,+,+,2] => [3,4,2,1,5] => 18
[+,5,-,+,2] => [1,4,2,5,3] => 8
[+,5,+,-,2] => [1,3,2,5,4] => 4
[-,5,-,+,2] => [4,2,1,5,3] => 24
[-,5,+,-,2] => [3,2,1,5,4] => 12
[+,5,-,-,2] => [1,2,5,3,4] => 4
[-,5,-,-,2] => [2,1,5,3,4] => 8
[+,5,4,2,3] => [1,2,3,5,4] => 2
[-,5,4,2,3] => [2,3,1,5,4] => 8
[+,5,4,3,2] => [1,3,2,5,4] => 4
[-,5,4,3,2] => [3,2,1,5,4] => 12
[2,1,+,+,+] => [1,3,4,5,2] => 8
[2,1,-,+,+] => [1,4,5,2,3] => 14
[2,1,+,-,+] => [1,3,5,2,4] => 8
[2,1,+,+,-] => [1,3,4,2,5] => 4
[2,1,-,-,+] => [1,5,2,3,4] => 8
[2,1,-,+,-] => [1,4,2,3,5] => 4
[2,1,+,-,-] => [1,3,2,4,5] => 2
[2,1,-,-,-] => [1,2,3,4,5] => 1
[2,1,+,5,4] => [1,3,4,2,5] => 4
[2,1,-,5,4] => [1,4,2,3,5] => 4
[2,1,4,3,+] => [1,3,5,2,4] => 8
[2,1,4,3,-] => [1,3,2,4,5] => 2
[2,1,4,5,3] => [1,3,2,4,5] => 2
[2,1,5,3,4] => [1,3,4,2,5] => 4
[2,1,5,+,3] => [1,4,3,2,5] => 6
[2,1,5,-,3] => [1,3,2,5,4] => 4
[2,3,1,+,+] => [1,4,5,2,3] => 14
[2,3,1,-,+] => [1,5,2,3,4] => 8
[2,3,1,+,-] => [1,4,2,3,5] => 4
[2,3,1,-,-] => [1,2,3,4,5] => 1
[2,3,1,5,4] => [1,4,2,3,5] => 4
[2,3,4,1,+] => [1,5,2,3,4] => 8
[2,3,4,1,-] => [1,2,3,4,5] => 1
[2,3,4,5,1] => [1,2,3,4,5] => 1
[2,3,5,1,4] => [1,4,2,3,5] => 4
[2,3,5,+,1] => [4,1,2,3,5] => 8
[2,3,5,-,1] => [1,2,3,5,4] => 2
[2,4,1,3,+] => [1,3,5,2,4] => 8
[2,4,1,3,-] => [1,3,2,4,5] => 2
[2,4,1,5,3] => [1,3,2,4,5] => 2
[2,4,+,1,+] => [3,1,5,2,4] => 16
[2,4,-,1,+] => [1,5,2,4,3] => 12
[2,4,+,1,-] => [3,1,2,4,5] => 4
[2,4,-,1,-] => [1,2,4,3,5] => 2
[2,4,+,5,1] => [3,1,2,4,5] => 4
[2,4,-,5,1] => [1,2,4,3,5] => 2
[2,4,5,1,3] => [1,3,2,4,5] => 2
[2,4,5,3,1] => [3,1,2,4,5] => 4
[2,5,1,3,4] => [1,3,4,2,5] => 4
[2,5,1,+,3] => [1,4,3,2,5] => 6
[2,5,1,-,3] => [1,3,2,5,4] => 4
[2,5,+,1,4] => [3,1,4,2,5] => 8
[2,5,-,1,4] => [1,4,2,5,3] => 8
[2,5,+,+,1] => [3,4,1,2,5] => 14
[2,5,-,+,1] => [4,1,2,5,3] => 16
[2,5,+,-,1] => [3,1,2,5,4] => 8
[2,5,-,-,1] => [1,2,5,3,4] => 4
[2,5,4,1,3] => [1,3,2,5,4] => 4
[2,5,4,3,1] => [3,1,2,5,4] => 8
[3,1,2,+,+] => [1,2,4,5,3] => 4
[3,1,2,-,+] => [1,2,5,3,4] => 4
[3,1,2,+,-] => [1,2,4,3,5] => 2
[3,1,2,-,-] => [1,2,3,4,5] => 1
[3,1,2,5,4] => [1,2,4,3,5] => 2
[3,1,4,2,+] => [1,2,5,3,4] => 4
[3,1,4,2,-] => [1,2,3,4,5] => 1
[3,1,4,5,2] => [1,2,3,4,5] => 1
[3,1,5,2,4] => [1,2,4,3,5] => 2
[3,1,5,+,2] => [1,4,2,3,5] => 4
[3,1,5,-,2] => [1,2,3,5,4] => 2
[3,+,1,+,+] => [2,1,4,5,3] => 8
[3,-,1,+,+] => [1,4,5,3,2] => 18
[3,+,1,-,+] => [2,1,5,3,4] => 8
[3,+,1,+,-] => [2,1,4,3,5] => 4
[3,-,1,-,+] => [1,5,3,2,4] => 12
[3,-,1,+,-] => [1,4,3,2,5] => 6
[3,+,1,-,-] => [2,1,3,4,5] => 2
[3,-,1,-,-] => [1,3,2,4,5] => 2
[3,+,1,5,4] => [2,1,4,3,5] => 4
[3,-,1,5,4] => [1,4,3,2,5] => 6
[3,+,4,1,+] => [2,1,5,3,4] => 8
[3,-,4,1,+] => [1,5,3,2,4] => 12
[3,+,4,1,-] => [2,1,3,4,5] => 2
[3,-,4,1,-] => [1,3,2,4,5] => 2
[3,+,4,5,1] => [2,1,3,4,5] => 2
[3,-,4,5,1] => [1,3,2,4,5] => 2
[3,+,5,1,4] => [2,1,4,3,5] => 4
[3,-,5,1,4] => [1,4,3,2,5] => 6
[3,+,5,+,1] => [2,4,1,3,5] => 8
[3,-,5,+,1] => [4,1,3,2,5] => 12
[3,+,5,-,1] => [2,1,3,5,4] => 4
[3,-,5,-,1] => [1,3,2,5,4] => 4
[3,4,1,2,+] => [1,2,5,3,4] => 4
[3,4,1,2,-] => [1,2,3,4,5] => 1
[3,4,1,5,2] => [1,2,3,4,5] => 1
[3,4,2,1,+] => [2,1,5,3,4] => 8
[3,4,2,1,-] => [2,1,3,4,5] => 2
[3,4,2,5,1] => [2,1,3,4,5] => 2
[3,4,5,1,2] => [1,2,3,4,5] => 1
[3,4,5,2,1] => [2,1,3,4,5] => 2
[3,5,1,2,4] => [1,2,4,3,5] => 2
[3,5,1,+,2] => [1,4,2,3,5] => 4
[3,5,1,-,2] => [1,2,3,5,4] => 2
[3,5,2,1,4] => [2,1,4,3,5] => 4
[3,5,2,+,1] => [2,4,1,3,5] => 8
[3,5,2,-,1] => [2,1,3,5,4] => 4
[3,5,4,1,2] => [1,2,3,5,4] => 2
[3,5,4,2,1] => [2,1,3,5,4] => 4
[4,1,2,3,+] => [1,2,3,5,4] => 2
[4,1,2,3,-] => [1,2,3,4,5] => 1
[4,1,2,5,3] => [1,2,3,4,5] => 1
[4,1,+,2,+] => [1,3,2,5,4] => 4
[4,1,-,2,+] => [1,2,5,4,3] => 6
[4,1,+,2,-] => [1,3,2,4,5] => 2
[4,1,-,2,-] => [1,2,4,3,5] => 2
[4,1,+,5,2] => [1,3,2,4,5] => 2
[4,1,-,5,2] => [1,2,4,3,5] => 2
[4,1,5,2,3] => [1,2,3,4,5] => 1
[4,1,5,3,2] => [1,3,2,4,5] => 2
[4,+,1,3,+] => [2,1,3,5,4] => 4
[4,-,1,3,+] => [1,3,5,4,2] => 12
[4,+,1,3,-] => [2,1,3,4,5] => 2
[4,-,1,3,-] => [1,3,4,2,5] => 4
[4,+,1,5,3] => [2,1,3,4,5] => 2
[4,-,1,5,3] => [1,3,4,2,5] => 4
[4,+,+,1,+] => [2,3,1,5,4] => 8
[4,-,+,1,+] => [3,1,5,4,2] => 24
[4,+,-,1,+] => [2,1,5,4,3] => 12
[4,+,+,1,-] => [2,3,1,4,5] => 4
[4,-,-,1,+] => [1,5,4,2,3] => 18
[4,-,+,1,-] => [3,1,4,2,5] => 8
[4,+,-,1,-] => [2,1,4,3,5] => 4
[4,-,-,1,-] => [1,4,2,3,5] => 4
[4,+,+,5,1] => [2,3,1,4,5] => 4
[4,-,+,5,1] => [3,1,4,2,5] => 8
[4,+,-,5,1] => [2,1,4,3,5] => 4
[4,-,-,5,1] => [1,4,2,3,5] => 4
[4,+,5,1,3] => [2,1,3,4,5] => 2
[4,-,5,1,3] => [1,3,4,2,5] => 4
[4,+,5,3,1] => [2,3,1,4,5] => 4
[4,-,5,3,1] => [3,1,4,2,5] => 8
[4,3,1,2,+] => [1,2,5,4,3] => 6
[4,3,1,2,-] => [1,2,4,3,5] => 2
[4,3,1,5,2] => [1,2,4,3,5] => 2
[4,3,2,1,+] => [2,1,5,4,3] => 12
[4,3,2,1,-] => [2,1,4,3,5] => 4
[4,3,2,5,1] => [2,1,4,3,5] => 4
[4,3,5,1,2] => [1,2,4,3,5] => 2
[4,3,5,2,1] => [2,1,4,3,5] => 4
[4,5,1,2,3] => [1,2,3,4,5] => 1
[4,5,1,3,2] => [1,3,2,4,5] => 2
[4,5,2,1,3] => [2,1,3,4,5] => 2
[4,5,2,3,1] => [2,3,1,4,5] => 4
[4,5,+,1,2] => [3,1,2,4,5] => 4
[4,5,-,1,2] => [1,2,4,5,3] => 4
[4,5,+,2,1] => [3,2,1,4,5] => 6
[4,5,-,2,1] => [2,1,4,5,3] => 8
[5,1,2,3,4] => [1,2,3,4,5] => 1
[5,1,2,+,3] => [1,2,4,3,5] => 2
[5,1,2,-,3] => [1,2,3,5,4] => 2
[5,1,+,2,4] => [1,3,2,4,5] => 2
[5,1,-,2,4] => [1,2,4,5,3] => 4
[5,1,+,+,2] => [1,3,4,2,5] => 4
[5,1,-,+,2] => [1,4,2,5,3] => 8
[5,1,+,-,2] => [1,3,2,5,4] => 4
[5,1,-,-,2] => [1,2,5,3,4] => 4
[5,1,4,2,3] => [1,2,3,5,4] => 2
[5,1,4,3,2] => [1,3,2,5,4] => 4
[5,+,1,3,4] => [2,1,3,4,5] => 2
[5,-,1,3,4] => [1,3,4,5,2] => 8
[5,+,1,+,3] => [2,1,4,3,5] => 4
[5,-,1,+,3] => [1,4,3,5,2] => 12
[5,+,1,-,3] => [2,1,3,5,4] => 4
[5,-,1,-,3] => [1,3,5,2,4] => 8
[5,+,+,1,4] => [2,3,1,4,5] => 4
[5,-,+,1,4] => [3,1,4,5,2] => 16
[5,+,-,1,4] => [2,1,4,5,3] => 8
[5,-,-,1,4] => [1,4,5,2,3] => 14
[5,+,+,+,1] => [2,3,4,1,5] => 8
[5,-,+,+,1] => [3,4,1,5,2] => 28
[5,+,-,+,1] => [2,4,1,5,3] => 16
[5,+,+,-,1] => [2,3,1,5,4] => 8
[5,-,-,+,1] => [4,1,5,2,3] => 28
[5,-,+,-,1] => [3,1,5,2,4] => 16
[5,+,-,-,1] => [2,1,5,3,4] => 8
[5,-,-,-,1] => [1,5,2,3,4] => 8
[5,+,4,1,3] => [2,1,3,5,4] => 4
[5,-,4,1,3] => [1,3,5,2,4] => 8
[5,+,4,3,1] => [2,3,1,5,4] => 8
[5,-,4,3,1] => [3,1,5,2,4] => 16
[5,3,1,2,4] => [1,2,4,5,3] => 4
[5,3,1,+,2] => [1,4,2,5,3] => 8
[5,3,1,-,2] => [1,2,5,3,4] => 4
[5,3,2,1,4] => [2,1,4,5,3] => 8
[5,3,2,+,1] => [2,4,1,5,3] => 16
[5,3,2,-,1] => [2,1,5,3,4] => 8
[5,3,4,1,2] => [1,2,5,3,4] => 4
[5,3,4,2,1] => [2,1,5,3,4] => 8
[5,4,1,2,3] => [1,2,3,5,4] => 2
[5,4,1,3,2] => [1,3,2,5,4] => 4
[5,4,2,1,3] => [2,1,3,5,4] => 4
[5,4,2,3,1] => [2,3,1,5,4] => 8
[5,4,+,1,2] => [3,1,2,5,4] => 8
[5,4,-,1,2] => [1,2,5,4,3] => 6
[5,4,+,2,1] => [3,2,1,5,4] => 12
[5,4,-,2,1] => [2,1,5,4,3] => 12
[+,+,+,+,+,+] => [1,2,3,4,5,6] => 1
[-,+,+,+,+,+] => [2,3,4,5,6,1] => 32
[+,-,+,+,+,+] => [1,3,4,5,6,2] => 16
[+,+,-,+,+,+] => [1,2,4,5,6,3] => 8
[+,+,+,-,+,+] => [1,2,3,5,6,4] => 4
[+,+,+,+,-,+] => [1,2,3,4,6,5] => 2
[+,+,+,+,+,-] => [1,2,3,4,5,6] => 1
[-,-,+,+,+,+] => [3,4,5,6,1,2] => 146
[-,+,-,+,+,+] => [2,4,5,6,1,3] => 92
[-,+,+,-,+,+] => [2,3,5,6,1,4] => 56
[-,+,+,+,-,+] => [2,3,4,6,1,5] => 32
[-,+,+,+,+,-] => [2,3,4,5,1,6] => 16
[+,-,-,+,+,+] => [1,4,5,6,2,3] => 46
[+,-,+,-,+,+] => [1,3,5,6,2,4] => 28
[+,-,+,+,-,+] => [1,3,4,6,2,5] => 16
[+,-,+,+,+,-] => [1,3,4,5,2,6] => 8
[+,+,-,-,+,+] => [1,2,5,6,3,4] => 14
[+,+,-,+,-,+] => [1,2,4,6,3,5] => 8
[+,+,-,+,+,-] => [1,2,4,5,3,6] => 4
[+,+,+,-,-,+] => [1,2,3,6,4,5] => 4
[+,+,+,-,+,-] => [1,2,3,5,4,6] => 2
[+,+,+,+,-,-] => [1,2,3,4,5,6] => 1
[-,-,-,+,+,+] => [4,5,6,1,2,3] => 230
[-,-,+,-,+,+] => [3,5,6,1,2,4] => 152
[-,-,+,+,-,+] => [3,4,6,1,2,5] => 92
[-,-,+,+,+,-] => [3,4,5,1,2,6] => 46
[-,+,-,-,+,+] => [2,5,6,1,3,4] => 92
[-,+,-,+,-,+] => [2,4,6,1,3,5] => 56
[-,+,-,+,+,-] => [2,4,5,1,3,6] => 28
[-,+,+,-,-,+] => [2,3,6,1,4,5] => 32
[-,+,+,-,+,-] => [2,3,5,1,4,6] => 16
[-,+,+,+,-,-] => [2,3,4,1,5,6] => 8
[+,-,-,-,+,+] => [1,5,6,2,3,4] => 46
[+,-,-,+,-,+] => [1,4,6,2,3,5] => 28
[+,-,-,+,+,-] => [1,4,5,2,3,6] => 14
[+,-,+,-,-,+] => [1,3,6,2,4,5] => 16
[+,-,+,-,+,-] => [1,3,5,2,4,6] => 8
[+,-,+,+,-,-] => [1,3,4,2,5,6] => 4
[+,+,-,-,-,+] => [1,2,6,3,4,5] => 8
[+,+,-,-,+,-] => [1,2,5,3,4,6] => 4
[+,+,-,+,-,-] => [1,2,4,3,5,6] => 2
[+,+,+,-,-,-] => [1,2,3,4,5,6] => 1
[-,-,-,-,+,+] => [5,6,1,2,3,4] => 146
[-,-,-,+,-,+] => [4,6,1,2,3,5] => 92
[-,-,-,+,+,-] => [4,5,1,2,3,6] => 46
[-,-,+,-,-,+] => [3,6,1,2,4,5] => 56
[-,-,+,-,+,-] => [3,5,1,2,4,6] => 28
[-,-,+,+,-,-] => [3,4,1,2,5,6] => 14
[-,+,-,-,-,+] => [2,6,1,3,4,5] => 32
[-,+,-,-,+,-] => [2,5,1,3,4,6] => 16
[-,+,-,+,-,-] => [2,4,1,3,5,6] => 8
[-,+,+,-,-,-] => [2,3,1,4,5,6] => 4
[+,-,-,-,-,+] => [1,6,2,3,4,5] => 16
[+,-,-,-,+,-] => [1,5,2,3,4,6] => 8
[+,-,-,+,-,-] => [1,4,2,3,5,6] => 4
[+,-,+,-,-,-] => [1,3,2,4,5,6] => 2
[+,+,-,-,-,-] => [1,2,3,4,5,6] => 1
[-,-,-,-,-,+] => [6,1,2,3,4,5] => 32
[-,-,-,-,+,-] => [5,1,2,3,4,6] => 16
[-,-,-,+,-,-] => [4,1,2,3,5,6] => 8
[-,-,+,-,-,-] => [3,1,2,4,5,6] => 4
[-,+,-,-,-,-] => [2,1,3,4,5,6] => 2
[+,-,-,-,-,-] => [1,2,3,4,5,6] => 1
[-,-,-,-,-,-] => [1,2,3,4,5,6] => 1
[+,+,+,+,6,5] => [1,2,3,4,5,6] => 1
[-,+,+,+,6,5] => [2,3,4,5,1,6] => 16
[+,-,+,+,6,5] => [1,3,4,5,2,6] => 8
[+,+,-,+,6,5] => [1,2,4,5,3,6] => 4
[+,+,+,-,6,5] => [1,2,3,5,4,6] => 2
[-,-,+,+,6,5] => [3,4,5,1,2,6] => 46
[-,+,-,+,6,5] => [2,4,5,1,3,6] => 28
[-,+,+,-,6,5] => [2,3,5,1,4,6] => 16
[+,-,-,+,6,5] => [1,4,5,2,3,6] => 14
[+,-,+,-,6,5] => [1,3,5,2,4,6] => 8
[+,+,-,-,6,5] => [1,2,5,3,4,6] => 4
[-,-,-,+,6,5] => [4,5,1,2,3,6] => 46
[-,-,+,-,6,5] => [3,5,1,2,4,6] => 28
[-,+,-,-,6,5] => [2,5,1,3,4,6] => 16
[+,-,-,-,6,5] => [1,5,2,3,4,6] => 8
[-,-,-,-,6,5] => [5,1,2,3,4,6] => 16
[+,+,+,5,4,+] => [1,2,3,4,6,5] => 2
[-,+,+,5,4,+] => [2,3,4,6,1,5] => 32
[+,-,+,5,4,+] => [1,3,4,6,2,5] => 16
[+,+,-,5,4,+] => [1,2,4,6,3,5] => 8
[+,+,+,5,4,-] => [1,2,3,4,5,6] => 1
[-,-,+,5,4,+] => [3,4,6,1,2,5] => 92
[-,+,-,5,4,+] => [2,4,6,1,3,5] => 56
[-,+,+,5,4,-] => [2,3,4,1,5,6] => 8
[+,-,-,5,4,+] => [1,4,6,2,3,5] => 28
[+,-,+,5,4,-] => [1,3,4,2,5,6] => 4
[+,+,-,5,4,-] => [1,2,4,3,5,6] => 2
[-,-,-,5,4,+] => [4,6,1,2,3,5] => 92
[-,-,+,5,4,-] => [3,4,1,2,5,6] => 14
[-,+,-,5,4,-] => [2,4,1,3,5,6] => 8
[+,-,-,5,4,-] => [1,4,2,3,5,6] => 4
[-,-,-,5,4,-] => [4,1,2,3,5,6] => 8
[+,+,+,5,6,4] => [1,2,3,4,5,6] => 1
[-,+,+,5,6,4] => [2,3,4,1,5,6] => 8
[+,-,+,5,6,4] => [1,3,4,2,5,6] => 4
[+,+,-,5,6,4] => [1,2,4,3,5,6] => 2
[-,-,+,5,6,4] => [3,4,1,2,5,6] => 14
[-,+,-,5,6,4] => [2,4,1,3,5,6] => 8
[+,-,-,5,6,4] => [1,4,2,3,5,6] => 4
[-,-,-,5,6,4] => [4,1,2,3,5,6] => 8
[+,+,+,6,4,5] => [1,2,3,4,5,6] => 1
[-,+,+,6,4,5] => [2,3,4,5,1,6] => 16
[+,-,+,6,4,5] => [1,3,4,5,2,6] => 8
[+,+,-,6,4,5] => [1,2,4,5,3,6] => 4
[-,-,+,6,4,5] => [3,4,5,1,2,6] => 46
[-,+,-,6,4,5] => [2,4,5,1,3,6] => 28
[+,-,-,6,4,5] => [1,4,5,2,3,6] => 14
[-,-,-,6,4,5] => [4,5,1,2,3,6] => 46
[+,+,+,6,+,4] => [1,2,3,5,4,6] => 2
[-,+,+,6,+,4] => [2,3,5,4,1,6] => 24
[+,-,+,6,+,4] => [1,3,5,4,2,6] => 12
[+,+,-,6,+,4] => [1,2,5,4,3,6] => 6
[+,+,+,6,-,4] => [1,2,3,4,6,5] => 2
[-,-,+,6,+,4] => [3,5,4,1,2,6] => 60
[-,+,-,6,+,4] => [2,5,4,1,3,6] => 36
[-,+,+,6,-,4] => [2,3,4,1,6,5] => 16
[+,-,-,6,+,4] => [1,5,4,2,3,6] => 18
[+,-,+,6,-,4] => [1,3,4,2,6,5] => 8
[+,+,-,6,-,4] => [1,2,4,3,6,5] => 4
[-,-,-,6,+,4] => [5,4,1,2,3,6] => 54
[-,-,+,6,-,4] => [3,4,1,2,6,5] => 28
[-,+,-,6,-,4] => [2,4,1,3,6,5] => 16
[+,-,-,6,-,4] => [1,4,2,3,6,5] => 8
[-,-,-,6,-,4] => [4,1,2,3,6,5] => 16
[+,+,4,3,+,+] => [1,2,3,5,6,4] => 4
[-,+,4,3,+,+] => [2,3,5,6,1,4] => 56
[+,-,4,3,+,+] => [1,3,5,6,2,4] => 28
[+,+,4,3,-,+] => [1,2,3,6,4,5] => 4
[+,+,4,3,+,-] => [1,2,3,5,4,6] => 2
[-,-,4,3,+,+] => [3,5,6,1,2,4] => 152
[-,+,4,3,-,+] => [2,3,6,1,4,5] => 32
[-,+,4,3,+,-] => [2,3,5,1,4,6] => 16
[+,-,4,3,-,+] => [1,3,6,2,4,5] => 16
[+,-,4,3,+,-] => [1,3,5,2,4,6] => 8
[+,+,4,3,-,-] => [1,2,3,4,5,6] => 1
[-,-,4,3,-,+] => [3,6,1,2,4,5] => 56
[-,-,4,3,+,-] => [3,5,1,2,4,6] => 28
[-,+,4,3,-,-] => [2,3,1,4,5,6] => 4
[+,-,4,3,-,-] => [1,3,2,4,5,6] => 2
[-,-,4,3,-,-] => [3,1,2,4,5,6] => 4
[+,+,4,3,6,5] => [1,2,3,5,4,6] => 2
[-,+,4,3,6,5] => [2,3,5,1,4,6] => 16
[+,-,4,3,6,5] => [1,3,5,2,4,6] => 8
[-,-,4,3,6,5] => [3,5,1,2,4,6] => 28
[+,+,4,5,3,+] => [1,2,3,6,4,5] => 4
[-,+,4,5,3,+] => [2,3,6,1,4,5] => 32
[+,-,4,5,3,+] => [1,3,6,2,4,5] => 16
[+,+,4,5,3,-] => [1,2,3,4,5,6] => 1
[-,-,4,5,3,+] => [3,6,1,2,4,5] => 56
[-,+,4,5,3,-] => [2,3,1,4,5,6] => 4
[+,-,4,5,3,-] => [1,3,2,4,5,6] => 2
[-,-,4,5,3,-] => [3,1,2,4,5,6] => 4
[+,+,4,5,6,3] => [1,2,3,4,5,6] => 1
[-,+,4,5,6,3] => [2,3,1,4,5,6] => 4
[+,-,4,5,6,3] => [1,3,2,4,5,6] => 2
[-,-,4,5,6,3] => [3,1,2,4,5,6] => 4
[+,+,4,6,3,5] => [1,2,3,5,4,6] => 2
[-,+,4,6,3,5] => [2,3,5,1,4,6] => 16
[+,-,4,6,3,5] => [1,3,5,2,4,6] => 8
[-,-,4,6,3,5] => [3,5,1,2,4,6] => 28
[+,+,4,6,+,3] => [1,2,5,3,4,6] => 4
[-,+,4,6,+,3] => [2,5,3,1,4,6] => 24
[+,-,4,6,+,3] => [1,5,3,2,4,6] => 12
[+,+,4,6,-,3] => [1,2,3,4,6,5] => 2
[-,-,4,6,+,3] => [5,3,1,2,4,6] => 36
[-,+,4,6,-,3] => [2,3,1,4,6,5] => 8
[+,-,4,6,-,3] => [1,3,2,4,6,5] => 4
[-,-,4,6,-,3] => [3,1,2,4,6,5] => 8
[+,+,5,3,4,+] => [1,2,3,4,6,5] => 2
[-,+,5,3,4,+] => [2,3,4,6,1,5] => 32
[+,-,5,3,4,+] => [1,3,4,6,2,5] => 16
[+,+,5,3,4,-] => [1,2,3,4,5,6] => 1
[-,-,5,3,4,+] => [3,4,6,1,2,5] => 92
[-,+,5,3,4,-] => [2,3,4,1,5,6] => 8
[+,-,5,3,4,-] => [1,3,4,2,5,6] => 4
[-,-,5,3,4,-] => [3,4,1,2,5,6] => 14
[+,+,5,3,6,4] => [1,2,3,4,5,6] => 1
[-,+,5,3,6,4] => [2,3,4,1,5,6] => 8
[+,-,5,3,6,4] => [1,3,4,2,5,6] => 4
[-,-,5,3,6,4] => [3,4,1,2,5,6] => 14
[+,+,5,+,3,+] => [1,2,4,3,6,5] => 4
[-,+,5,+,3,+] => [2,4,3,6,1,5] => 48
[+,-,5,+,3,+] => [1,4,3,6,2,5] => 24
[+,+,5,-,3,+] => [1,2,3,6,5,4] => 6
[+,+,5,+,3,-] => [1,2,4,3,5,6] => 2
[-,-,5,+,3,+] => [4,3,6,1,2,5] => 120
[-,+,5,-,3,+] => [2,3,6,1,5,4] => 48
[-,+,5,+,3,-] => [2,4,3,1,5,6] => 12
[+,-,5,-,3,+] => [1,3,6,2,5,4] => 24
[+,-,5,+,3,-] => [1,4,3,2,5,6] => 6
[+,+,5,-,3,-] => [1,2,3,5,4,6] => 2
[-,-,5,-,3,+] => [3,6,1,2,5,4] => 84
[-,-,5,+,3,-] => [4,3,1,2,5,6] => 18
[-,+,5,-,3,-] => [2,3,1,5,4,6] => 8
[+,-,5,-,3,-] => [1,3,2,5,4,6] => 4
[-,-,5,-,3,-] => [3,1,2,5,4,6] => 8
[+,+,5,+,6,3] => [1,2,4,3,5,6] => 2
[-,+,5,+,6,3] => [2,4,3,1,5,6] => 12
[+,-,5,+,6,3] => [1,4,3,2,5,6] => 6
[+,+,5,-,6,3] => [1,2,3,5,4,6] => 2
[-,-,5,+,6,3] => [4,3,1,2,5,6] => 18
[-,+,5,-,6,3] => [2,3,1,5,4,6] => 8
[+,-,5,-,6,3] => [1,3,2,5,4,6] => 4
[-,-,5,-,6,3] => [3,1,2,5,4,6] => 8
[+,+,5,6,3,4] => [1,2,3,4,5,6] => 1
[-,+,5,6,3,4] => [2,3,4,1,5,6] => 8
[+,-,5,6,3,4] => [1,3,4,2,5,6] => 4
[-,-,5,6,3,4] => [3,4,1,2,5,6] => 14
[+,+,5,6,4,3] => [1,2,4,3,5,6] => 2
[-,+,5,6,4,3] => [2,4,3,1,5,6] => 12
[+,-,5,6,4,3] => [1,4,3,2,5,6] => 6
[-,-,5,6,4,3] => [4,3,1,2,5,6] => 18
[+,+,6,3,4,5] => [1,2,3,4,5,6] => 1
[-,+,6,3,4,5] => [2,3,4,5,1,6] => 16
[+,-,6,3,4,5] => [1,3,4,5,2,6] => 8
[-,-,6,3,4,5] => [3,4,5,1,2,6] => 46
[+,+,6,3,+,4] => [1,2,3,5,4,6] => 2
[-,+,6,3,+,4] => [2,3,5,4,1,6] => 24
[+,-,6,3,+,4] => [1,3,5,4,2,6] => 12
[+,+,6,3,-,4] => [1,2,3,4,6,5] => 2
[-,-,6,3,+,4] => [3,5,4,1,2,6] => 60
[-,+,6,3,-,4] => [2,3,4,1,6,5] => 16
[+,-,6,3,-,4] => [1,3,4,2,6,5] => 8
[-,-,6,3,-,4] => [3,4,1,2,6,5] => 28
[+,+,6,+,3,5] => [1,2,4,3,5,6] => 2
[-,+,6,+,3,5] => [2,4,3,5,1,6] => 24
[+,-,6,+,3,5] => [1,4,3,5,2,6] => 12
[+,+,6,-,3,5] => [1,2,3,5,6,4] => 4
[-,-,6,+,3,5] => [4,3,5,1,2,6] => 60
[-,+,6,-,3,5] => [2,3,5,1,6,4] => 32
[+,-,6,-,3,5] => [1,3,5,2,6,4] => 16
[-,-,6,-,3,5] => [3,5,1,2,6,4] => 56
[+,+,6,+,+,3] => [1,2,4,5,3,6] => 4
[-,+,6,+,+,3] => [2,4,5,3,1,6] => 36
[+,-,6,+,+,3] => [1,4,5,3,2,6] => 18
[+,+,6,-,+,3] => [1,2,5,3,6,4] => 8
[+,+,6,+,-,3] => [1,2,4,3,6,5] => 4
[-,-,6,+,+,3] => [4,5,3,1,2,6] => 78
[-,+,6,-,+,3] => [2,5,3,1,6,4] => 48
[-,+,6,+,-,3] => [2,4,3,1,6,5] => 24
[+,-,6,-,+,3] => [1,5,3,2,6,4] => 24
[+,-,6,+,-,3] => [1,4,3,2,6,5] => 12
[+,+,6,-,-,3] => [1,2,3,6,4,5] => 4
[-,-,6,-,+,3] => [5,3,1,2,6,4] => 72
[-,-,6,+,-,3] => [4,3,1,2,6,5] => 36
[-,+,6,-,-,3] => [2,3,1,6,4,5] => 16
[+,-,6,-,-,3] => [1,3,2,6,4,5] => 8
[-,-,6,-,-,3] => [3,1,2,6,4,5] => 16
[+,+,6,5,3,4] => [1,2,3,4,6,5] => 2
[-,+,6,5,3,4] => [2,3,4,1,6,5] => 16
[+,-,6,5,3,4] => [1,3,4,2,6,5] => 8
[-,-,6,5,3,4] => [3,4,1,2,6,5] => 28
[+,+,6,5,4,3] => [1,2,4,3,6,5] => 4
[-,+,6,5,4,3] => [2,4,3,1,6,5] => 24
[+,-,6,5,4,3] => [1,4,3,2,6,5] => 12
[-,-,6,5,4,3] => [4,3,1,2,6,5] => 36
[+,3,2,+,+,+] => [1,2,4,5,6,3] => 8
[-,3,2,+,+,+] => [2,4,5,6,1,3] => 92
[+,3,2,-,+,+] => [1,2,5,6,3,4] => 14
[+,3,2,+,-,+] => [1,2,4,6,3,5] => 8
[+,3,2,+,+,-] => [1,2,4,5,3,6] => 4
[-,3,2,-,+,+] => [2,5,6,1,3,4] => 92
[-,3,2,+,-,+] => [2,4,6,1,3,5] => 56
[-,3,2,+,+,-] => [2,4,5,1,3,6] => 28
[+,3,2,-,-,+] => [1,2,6,3,4,5] => 8
[+,3,2,-,+,-] => [1,2,5,3,4,6] => 4
[+,3,2,+,-,-] => [1,2,4,3,5,6] => 2
[-,3,2,-,-,+] => [2,6,1,3,4,5] => 32
[-,3,2,-,+,-] => [2,5,1,3,4,6] => 16
[-,3,2,+,-,-] => [2,4,1,3,5,6] => 8
[+,3,2,-,-,-] => [1,2,3,4,5,6] => 1
[-,3,2,-,-,-] => [2,1,3,4,5,6] => 2
[+,3,2,+,6,5] => [1,2,4,5,3,6] => 4
[-,3,2,+,6,5] => [2,4,5,1,3,6] => 28
[+,3,2,-,6,5] => [1,2,5,3,4,6] => 4
[-,3,2,-,6,5] => [2,5,1,3,4,6] => 16
[+,3,2,5,4,+] => [1,2,4,6,3,5] => 8
[-,3,2,5,4,+] => [2,4,6,1,3,5] => 56
[+,3,2,5,4,-] => [1,2,4,3,5,6] => 2
[-,3,2,5,4,-] => [2,4,1,3,5,6] => 8
[+,3,2,5,6,4] => [1,2,4,3,5,6] => 2
[-,3,2,5,6,4] => [2,4,1,3,5,6] => 8
[+,3,2,6,4,5] => [1,2,4,5,3,6] => 4
[-,3,2,6,4,5] => [2,4,5,1,3,6] => 28
[+,3,2,6,+,4] => [1,2,5,4,3,6] => 6
[-,3,2,6,+,4] => [2,5,4,1,3,6] => 36
[+,3,2,6,-,4] => [1,2,4,3,6,5] => 4
[-,3,2,6,-,4] => [2,4,1,3,6,5] => 16
[+,3,4,2,+,+] => [1,2,5,6,3,4] => 14
[-,3,4,2,+,+] => [2,5,6,1,3,4] => 92
[+,3,4,2,-,+] => [1,2,6,3,4,5] => 8
[+,3,4,2,+,-] => [1,2,5,3,4,6] => 4
[-,3,4,2,-,+] => [2,6,1,3,4,5] => 32
[-,3,4,2,+,-] => [2,5,1,3,4,6] => 16
[+,3,4,2,-,-] => [1,2,3,4,5,6] => 1
[-,3,4,2,-,-] => [2,1,3,4,5,6] => 2
[+,3,4,2,6,5] => [1,2,5,3,4,6] => 4
[-,3,4,2,6,5] => [2,5,1,3,4,6] => 16
[+,3,4,5,2,+] => [1,2,6,3,4,5] => 8
[-,3,4,5,2,+] => [2,6,1,3,4,5] => 32
[+,3,4,5,2,-] => [1,2,3,4,5,6] => 1
[-,3,4,5,2,-] => [2,1,3,4,5,6] => 2
[+,3,4,5,6,2] => [1,2,3,4,5,6] => 1
[-,3,4,5,6,2] => [2,1,3,4,5,6] => 2
[+,3,4,6,2,5] => [1,2,5,3,4,6] => 4
[-,3,4,6,2,5] => [2,5,1,3,4,6] => 16
[+,3,4,6,+,2] => [1,5,2,3,4,6] => 8
[-,3,4,6,+,2] => [5,2,1,3,4,6] => 24
[+,3,4,6,-,2] => [1,2,3,4,6,5] => 2
[-,3,4,6,-,2] => [2,1,3,4,6,5] => 4
[+,3,5,2,4,+] => [1,2,4,6,3,5] => 8
[-,3,5,2,4,+] => [2,4,6,1,3,5] => 56
[+,3,5,2,4,-] => [1,2,4,3,5,6] => 2
[-,3,5,2,4,-] => [2,4,1,3,5,6] => 8
[+,3,5,2,6,4] => [1,2,4,3,5,6] => 2
[-,3,5,2,6,4] => [2,4,1,3,5,6] => 8
[+,3,5,+,2,+] => [1,4,2,6,3,5] => 16
[-,3,5,+,2,+] => [4,2,6,1,3,5] => 84
[+,3,5,-,2,+] => [1,2,6,3,5,4] => 12
[+,3,5,+,2,-] => [1,4,2,3,5,6] => 4
[-,3,5,-,2,+] => [2,6,1,3,5,4] => 48
[-,3,5,+,2,-] => [4,2,1,3,5,6] => 12
[+,3,5,-,2,-] => [1,2,3,5,4,6] => 2
[-,3,5,-,2,-] => [2,1,3,5,4,6] => 4
[+,3,5,+,6,2] => [1,4,2,3,5,6] => 4
[-,3,5,+,6,2] => [4,2,1,3,5,6] => 12
[+,3,5,-,6,2] => [1,2,3,5,4,6] => 2
[-,3,5,-,6,2] => [2,1,3,5,4,6] => 4
[+,3,5,6,2,4] => [1,2,4,3,5,6] => 2
[-,3,5,6,2,4] => [2,4,1,3,5,6] => 8
[+,3,5,6,4,2] => [1,4,2,3,5,6] => 4
[-,3,5,6,4,2] => [4,2,1,3,5,6] => 12
[+,3,6,2,4,5] => [1,2,4,5,3,6] => 4
[-,3,6,2,4,5] => [2,4,5,1,3,6] => 28
[+,3,6,2,+,4] => [1,2,5,4,3,6] => 6
[-,3,6,2,+,4] => [2,5,4,1,3,6] => 36
[+,3,6,2,-,4] => [1,2,4,3,6,5] => 4
[-,3,6,2,-,4] => [2,4,1,3,6,5] => 16
[+,3,6,+,2,5] => [1,4,2,5,3,6] => 8
[-,3,6,+,2,5] => [4,2,5,1,3,6] => 42
[+,3,6,-,2,5] => [1,2,5,3,6,4] => 8
[-,3,6,-,2,5] => [2,5,1,3,6,4] => 32
[+,3,6,+,+,2] => [1,4,5,2,3,6] => 14
[-,3,6,+,+,2] => [4,5,2,1,3,6] => 60
[+,3,6,-,+,2] => [1,5,2,3,6,4] => 16
[+,3,6,+,-,2] => [1,4,2,3,6,5] => 8
[-,3,6,-,+,2] => [5,2,1,3,6,4] => 48
[-,3,6,+,-,2] => [4,2,1,3,6,5] => 24
[+,3,6,-,-,2] => [1,2,3,6,4,5] => 4
[-,3,6,-,-,2] => [2,1,3,6,4,5] => 8
[+,3,6,5,2,4] => [1,2,4,3,6,5] => 4
[-,3,6,5,2,4] => [2,4,1,3,6,5] => 16
[+,3,6,5,4,2] => [1,4,2,3,6,5] => 8
[-,3,6,5,4,2] => [4,2,1,3,6,5] => 24
[+,4,2,3,+,+] => [1,2,3,5,6,4] => 4
[-,4,2,3,+,+] => [2,3,5,6,1,4] => 56
[+,4,2,3,-,+] => [1,2,3,6,4,5] => 4
[+,4,2,3,+,-] => [1,2,3,5,4,6] => 2
[-,4,2,3,-,+] => [2,3,6,1,4,5] => 32
[-,4,2,3,+,-] => [2,3,5,1,4,6] => 16
[+,4,2,3,-,-] => [1,2,3,4,5,6] => 1
[-,4,2,3,-,-] => [2,3,1,4,5,6] => 4
[+,4,2,3,6,5] => [1,2,3,5,4,6] => 2
[-,4,2,3,6,5] => [2,3,5,1,4,6] => 16
[+,4,2,5,3,+] => [1,2,3,6,4,5] => 4
[-,4,2,5,3,+] => [2,3,6,1,4,5] => 32
[+,4,2,5,3,-] => [1,2,3,4,5,6] => 1
[-,4,2,5,3,-] => [2,3,1,4,5,6] => 4
[+,4,2,5,6,3] => [1,2,3,4,5,6] => 1
[-,4,2,5,6,3] => [2,3,1,4,5,6] => 4
[+,4,2,6,3,5] => [1,2,3,5,4,6] => 2
[-,4,2,6,3,5] => [2,3,5,1,4,6] => 16
[+,4,2,6,+,3] => [1,2,5,3,4,6] => 4
[-,4,2,6,+,3] => [2,5,3,1,4,6] => 24
[+,4,2,6,-,3] => [1,2,3,4,6,5] => 2
[-,4,2,6,-,3] => [2,3,1,4,6,5] => 8
[+,4,+,2,+,+] => [1,3,2,5,6,4] => 8
[-,4,+,2,+,+] => [3,2,5,6,1,4] => 84
[+,4,-,2,+,+] => [1,2,5,6,4,3] => 18
[+,4,+,2,-,+] => [1,3,2,6,4,5] => 8
[+,4,+,2,+,-] => [1,3,2,5,4,6] => 4
[-,4,-,2,+,+] => [2,5,6,1,4,3] => 120
[-,4,+,2,-,+] => [3,2,6,1,4,5] => 48
[-,4,+,2,+,-] => [3,2,5,1,4,6] => 24
[+,4,-,2,-,+] => [1,2,6,4,3,5] => 12
[+,4,-,2,+,-] => [1,2,5,4,3,6] => 6
[+,4,+,2,-,-] => [1,3,2,4,5,6] => 2
[-,4,-,2,-,+] => [2,6,1,4,3,5] => 48
[-,4,-,2,+,-] => [2,5,1,4,3,6] => 24
[-,4,+,2,-,-] => [3,2,1,4,5,6] => 6
[+,4,-,2,-,-] => [1,2,4,3,5,6] => 2
[-,4,-,2,-,-] => [2,1,4,3,5,6] => 4
[+,4,+,2,6,5] => [1,3,2,5,4,6] => 4
[-,4,+,2,6,5] => [3,2,5,1,4,6] => 24
[+,4,-,2,6,5] => [1,2,5,4,3,6] => 6
[-,4,-,2,6,5] => [2,5,1,4,3,6] => 24
[+,4,+,5,2,+] => [1,3,2,6,4,5] => 8
[-,4,+,5,2,+] => [3,2,6,1,4,5] => 48
[+,4,-,5,2,+] => [1,2,6,4,3,5] => 12
[+,4,+,5,2,-] => [1,3,2,4,5,6] => 2
[-,4,-,5,2,+] => [2,6,1,4,3,5] => 48
[-,4,+,5,2,-] => [3,2,1,4,5,6] => 6
[+,4,-,5,2,-] => [1,2,4,3,5,6] => 2
[-,4,-,5,2,-] => [2,1,4,3,5,6] => 4
[+,4,+,5,6,2] => [1,3,2,4,5,6] => 2
[-,4,+,5,6,2] => [3,2,1,4,5,6] => 6
[+,4,-,5,6,2] => [1,2,4,3,5,6] => 2
[-,4,-,5,6,2] => [2,1,4,3,5,6] => 4
[+,4,+,6,2,5] => [1,3,2,5,4,6] => 4
[-,4,+,6,2,5] => [3,2,5,1,4,6] => 24
[+,4,-,6,2,5] => [1,2,5,4,3,6] => 6
[-,4,-,6,2,5] => [2,5,1,4,3,6] => 24
[+,4,+,6,+,2] => [1,3,5,2,4,6] => 8
[-,4,+,6,+,2] => [3,5,2,1,4,6] => 36
[+,4,-,6,+,2] => [1,5,2,4,3,6] => 12
[+,4,+,6,-,2] => [1,3,2,4,6,5] => 4
[-,4,-,6,+,2] => [5,2,1,4,3,6] => 36
[-,4,+,6,-,2] => [3,2,1,4,6,5] => 12
[+,4,-,6,-,2] => [1,2,4,3,6,5] => 4
[-,4,-,6,-,2] => [2,1,4,3,6,5] => 8
[+,4,5,2,3,+] => [1,2,3,6,4,5] => 4
[-,4,5,2,3,+] => [2,3,6,1,4,5] => 32
[+,4,5,2,3,-] => [1,2,3,4,5,6] => 1
[-,4,5,2,3,-] => [2,3,1,4,5,6] => 4
[+,4,5,2,6,3] => [1,2,3,4,5,6] => 1
[-,4,5,2,6,3] => [2,3,1,4,5,6] => 4
[+,4,5,3,2,+] => [1,3,2,6,4,5] => 8
[-,4,5,3,2,+] => [3,2,6,1,4,5] => 48
[+,4,5,3,2,-] => [1,3,2,4,5,6] => 2
[-,4,5,3,2,-] => [3,2,1,4,5,6] => 6
[+,4,5,3,6,2] => [1,3,2,4,5,6] => 2
[-,4,5,3,6,2] => [3,2,1,4,5,6] => 6
[+,4,5,6,2,3] => [1,2,3,4,5,6] => 1
[-,4,5,6,2,3] => [2,3,1,4,5,6] => 4
[+,4,5,6,3,2] => [1,3,2,4,5,6] => 2
[-,4,5,6,3,2] => [3,2,1,4,5,6] => 6
[+,4,6,2,3,5] => [1,2,3,5,4,6] => 2
[-,4,6,2,3,5] => [2,3,5,1,4,6] => 16
[+,4,6,2,+,3] => [1,2,5,3,4,6] => 4
[-,4,6,2,+,3] => [2,5,3,1,4,6] => 24
[+,4,6,2,-,3] => [1,2,3,4,6,5] => 2
[-,4,6,2,-,3] => [2,3,1,4,6,5] => 8
[+,4,6,3,2,5] => [1,3,2,5,4,6] => 4
[-,4,6,3,2,5] => [3,2,5,1,4,6] => 24
[+,4,6,3,+,2] => [1,3,5,2,4,6] => 8
[-,4,6,3,+,2] => [3,5,2,1,4,6] => 36
[+,4,6,3,-,2] => [1,3,2,4,6,5] => 4
[-,4,6,3,-,2] => [3,2,1,4,6,5] => 12
[+,4,6,5,2,3] => [1,2,3,4,6,5] => 2
[-,4,6,5,2,3] => [2,3,1,4,6,5] => 8
[+,4,6,5,3,2] => [1,3,2,4,6,5] => 4
[-,4,6,5,3,2] => [3,2,1,4,6,5] => 12
[+,5,2,3,4,+] => [1,2,3,4,6,5] => 2
[-,5,2,3,4,+] => [2,3,4,6,1,5] => 32
[+,5,2,3,4,-] => [1,2,3,4,5,6] => 1
[-,5,2,3,4,-] => [2,3,4,1,5,6] => 8
[+,5,2,3,6,4] => [1,2,3,4,5,6] => 1
[-,5,2,3,6,4] => [2,3,4,1,5,6] => 8
[+,5,2,+,3,+] => [1,2,4,3,6,5] => 4
[-,5,2,+,3,+] => [2,4,3,6,1,5] => 48
[+,5,2,-,3,+] => [1,2,3,6,5,4] => 6
[+,5,2,+,3,-] => [1,2,4,3,5,6] => 2
[-,5,2,-,3,+] => [2,3,6,1,5,4] => 48
[-,5,2,+,3,-] => [2,4,3,1,5,6] => 12
[+,5,2,-,3,-] => [1,2,3,5,4,6] => 2
[-,5,2,-,3,-] => [2,3,1,5,4,6] => 8
[+,5,2,+,6,3] => [1,2,4,3,5,6] => 2
[-,5,2,+,6,3] => [2,4,3,1,5,6] => 12
[+,5,2,-,6,3] => [1,2,3,5,4,6] => 2
[-,5,2,-,6,3] => [2,3,1,5,4,6] => 8
[+,5,2,6,3,4] => [1,2,3,4,5,6] => 1
[-,5,2,6,3,4] => [2,3,4,1,5,6] => 8
[+,5,2,6,4,3] => [1,2,4,3,5,6] => 2
[-,5,2,6,4,3] => [2,4,3,1,5,6] => 12
[+,5,+,2,4,+] => [1,3,2,4,6,5] => 4
[-,5,+,2,4,+] => [3,2,4,6,1,5] => 48
[+,5,-,2,4,+] => [1,2,4,6,5,3] => 12
[+,5,+,2,4,-] => [1,3,2,4,5,6] => 2
[-,5,-,2,4,+] => [2,4,6,1,5,3] => 84
[-,5,+,2,4,-] => [3,2,4,1,5,6] => 12
[+,5,-,2,4,-] => [1,2,4,5,3,6] => 4
[-,5,-,2,4,-] => [2,4,1,5,3,6] => 16
[+,5,+,2,6,4] => [1,3,2,4,5,6] => 2
[-,5,+,2,6,4] => [3,2,4,1,5,6] => 12
[+,5,-,2,6,4] => [1,2,4,5,3,6] => 4
[-,5,-,2,6,4] => [2,4,1,5,3,6] => 16
[+,5,+,+,2,+] => [1,3,4,2,6,5] => 8
[-,5,+,+,2,+] => [3,4,2,6,1,5] => 72
[+,5,-,+,2,+] => [1,4,2,6,5,3] => 24
[+,5,+,-,2,+] => [1,3,2,6,5,4] => 12
[+,5,+,+,2,-] => [1,3,4,2,5,6] => 4
[-,5,-,+,2,+] => [4,2,6,1,5,3] => 126
[-,5,+,-,2,+] => [3,2,6,1,5,4] => 72
[-,5,+,+,2,-] => [3,4,2,1,5,6] => 18
[+,5,-,-,2,+] => [1,2,6,5,3,4] => 18
[+,5,-,+,2,-] => [1,4,2,5,3,6] => 8
[+,5,+,-,2,-] => [1,3,2,5,4,6] => 4
[-,5,-,-,2,+] => [2,6,1,5,3,4] => 72
[-,5,-,+,2,-] => [4,2,1,5,3,6] => 24
[-,5,+,-,2,-] => [3,2,1,5,4,6] => 12
[+,5,-,-,2,-] => [1,2,5,3,4,6] => 4
[-,5,-,-,2,-] => [2,1,5,3,4,6] => 8
[+,5,+,+,6,2] => [1,3,4,2,5,6] => 4
[-,5,+,+,6,2] => [3,4,2,1,5,6] => 18
[+,5,-,+,6,2] => [1,4,2,5,3,6] => 8
[+,5,+,-,6,2] => [1,3,2,5,4,6] => 4
[-,5,-,+,6,2] => [4,2,1,5,3,6] => 24
[-,5,+,-,6,2] => [3,2,1,5,4,6] => 12
[+,5,-,-,6,2] => [1,2,5,3,4,6] => 4
[-,5,-,-,6,2] => [2,1,5,3,4,6] => 8
[+,5,+,6,2,4] => [1,3,2,4,5,6] => 2
[-,5,+,6,2,4] => [3,2,4,1,5,6] => 12
[+,5,-,6,2,4] => [1,2,4,5,3,6] => 4
[-,5,-,6,2,4] => [2,4,1,5,3,6] => 16
[+,5,+,6,4,2] => [1,3,4,2,5,6] => 4
[-,5,+,6,4,2] => [3,4,2,1,5,6] => 18
[+,5,-,6,4,2] => [1,4,2,5,3,6] => 8
[-,5,-,6,4,2] => [4,2,1,5,3,6] => 24
[+,5,4,2,3,+] => [1,2,3,6,5,4] => 6
[-,5,4,2,3,+] => [2,3,6,1,5,4] => 48
[+,5,4,2,3,-] => [1,2,3,5,4,6] => 2
[-,5,4,2,3,-] => [2,3,1,5,4,6] => 8
[+,5,4,2,6,3] => [1,2,3,5,4,6] => 2
[-,5,4,2,6,3] => [2,3,1,5,4,6] => 8
[+,5,4,3,2,+] => [1,3,2,6,5,4] => 12
[-,5,4,3,2,+] => [3,2,6,1,5,4] => 72
[+,5,4,3,2,-] => [1,3,2,5,4,6] => 4
[-,5,4,3,2,-] => [3,2,1,5,4,6] => 12
[+,5,4,3,6,2] => [1,3,2,5,4,6] => 4
[-,5,4,3,6,2] => [3,2,1,5,4,6] => 12
[+,5,4,6,2,3] => [1,2,3,5,4,6] => 2
[-,5,4,6,2,3] => [2,3,1,5,4,6] => 8
[+,5,4,6,3,2] => [1,3,2,5,4,6] => 4
[-,5,4,6,3,2] => [3,2,1,5,4,6] => 12
[+,5,6,2,3,4] => [1,2,3,4,5,6] => 1
[-,5,6,2,3,4] => [2,3,4,1,5,6] => 8
[+,5,6,2,4,3] => [1,2,4,3,5,6] => 2
[-,5,6,2,4,3] => [2,4,3,1,5,6] => 12
[+,5,6,3,2,4] => [1,3,2,4,5,6] => 2
[-,5,6,3,2,4] => [3,2,4,1,5,6] => 12
[+,5,6,3,4,2] => [1,3,4,2,5,6] => 4
[-,5,6,3,4,2] => [3,4,2,1,5,6] => 18
[+,5,6,+,2,3] => [1,4,2,3,5,6] => 4
[-,5,6,+,2,3] => [4,2,3,1,5,6] => 18
[+,5,6,-,2,3] => [1,2,3,5,6,4] => 4
[-,5,6,-,2,3] => [2,3,1,5,6,4] => 16
[+,5,6,+,3,2] => [1,4,3,2,5,6] => 6
[-,5,6,+,3,2] => [4,3,2,1,5,6] => 24
[+,5,6,-,3,2] => [1,3,2,5,6,4] => 8
[-,5,6,-,3,2] => [3,2,1,5,6,4] => 24
[+,6,2,3,4,5] => [1,2,3,4,5,6] => 1
[-,6,2,3,4,5] => [2,3,4,5,1,6] => 16
[+,6,2,3,+,4] => [1,2,3,5,4,6] => 2
[-,6,2,3,+,4] => [2,3,5,4,1,6] => 24
[+,6,2,3,-,4] => [1,2,3,4,6,5] => 2
[-,6,2,3,-,4] => [2,3,4,1,6,5] => 16
[+,6,2,+,3,5] => [1,2,4,3,5,6] => 2
[-,6,2,+,3,5] => [2,4,3,5,1,6] => 24
[+,6,2,-,3,5] => [1,2,3,5,6,4] => 4
[-,6,2,-,3,5] => [2,3,5,1,6,4] => 32
[+,6,2,+,+,3] => [1,2,4,5,3,6] => 4
[-,6,2,+,+,3] => [2,4,5,3,1,6] => 36
[+,6,2,-,+,3] => [1,2,5,3,6,4] => 8
[+,6,2,+,-,3] => [1,2,4,3,6,5] => 4
[-,6,2,-,+,3] => [2,5,3,1,6,4] => 48
[-,6,2,+,-,3] => [2,4,3,1,6,5] => 24
[+,6,2,-,-,3] => [1,2,3,6,4,5] => 4
[-,6,2,-,-,3] => [2,3,1,6,4,5] => 16
[+,6,2,5,3,4] => [1,2,3,4,6,5] => 2
[-,6,2,5,3,4] => [2,3,4,1,6,5] => 16
[+,6,2,5,4,3] => [1,2,4,3,6,5] => 4
[-,6,2,5,4,3] => [2,4,3,1,6,5] => 24
[+,6,+,2,4,5] => [1,3,2,4,5,6] => 2
[-,6,+,2,4,5] => [3,2,4,5,1,6] => 24
[+,6,-,2,4,5] => [1,2,4,5,6,3] => 8
[-,6,-,2,4,5] => [2,4,5,1,6,3] => 56
[+,6,+,2,+,4] => [1,3,2,5,4,6] => 4
[-,6,+,2,+,4] => [3,2,5,4,1,6] => 36
[+,6,-,2,+,4] => [1,2,5,4,6,3] => 12
[+,6,+,2,-,4] => [1,3,2,4,6,5] => 4
[-,6,-,2,+,4] => [2,5,4,1,6,3] => 72
[-,6,+,2,-,4] => [3,2,4,1,6,5] => 24
[+,6,-,2,-,4] => [1,2,4,6,3,5] => 8
[-,6,-,2,-,4] => [2,4,1,6,3,5] => 32
[+,6,+,+,2,5] => [1,3,4,2,5,6] => 4
[-,6,+,+,2,5] => [3,4,2,5,1,6] => 36
[+,6,-,+,2,5] => [1,4,2,5,6,3] => 16
[+,6,+,-,2,5] => [1,3,2,5,6,4] => 8
[-,6,-,+,2,5] => [4,2,5,1,6,3] => 84
[-,6,+,-,2,5] => [3,2,5,1,6,4] => 48
[+,6,-,-,2,5] => [1,2,5,6,3,4] => 14
[-,6,-,-,2,5] => [2,5,1,6,3,4] => 56
[+,6,+,+,+,2] => [1,3,4,5,2,6] => 8
[-,6,+,+,+,2] => [3,4,5,2,1,6] => 54
[+,6,-,+,+,2] => [1,4,5,2,6,3] => 28
[+,6,+,-,+,2] => [1,3,5,2,6,4] => 16
[+,6,+,+,-,2] => [1,3,4,2,6,5] => 8
[-,6,-,+,+,2] => [4,5,2,1,6,3] => 120
[-,6,+,-,+,2] => [3,5,2,1,6,4] => 72
[-,6,+,+,-,2] => [3,4,2,1,6,5] => 36
[+,6,-,-,+,2] => [1,5,2,6,3,4] => 28
[+,6,-,+,-,2] => [1,4,2,6,3,5] => 16
[+,6,+,-,-,2] => [1,3,2,6,4,5] => 8
[-,6,-,-,+,2] => [5,2,1,6,3,4] => 84
[-,6,-,+,-,2] => [4,2,1,6,3,5] => 48
[-,6,+,-,-,2] => [3,2,1,6,4,5] => 24
[+,6,-,-,-,2] => [1,2,6,3,4,5] => 8
[-,6,-,-,-,2] => [2,1,6,3,4,5] => 16
[+,6,+,5,2,4] => [1,3,2,4,6,5] => 4
[-,6,+,5,2,4] => [3,2,4,1,6,5] => 24
[+,6,-,5,2,4] => [1,2,4,6,3,5] => 8
[-,6,-,5,2,4] => [2,4,1,6,3,5] => 32
[+,6,+,5,4,2] => [1,3,4,2,6,5] => 8
[-,6,+,5,4,2] => [3,4,2,1,6,5] => 36
[+,6,-,5,4,2] => [1,4,2,6,3,5] => 16
[-,6,-,5,4,2] => [4,2,1,6,3,5] => 48
[+,6,4,2,3,5] => [1,2,3,5,6,4] => 4
[-,6,4,2,3,5] => [2,3,5,1,6,4] => 32
[+,6,4,2,+,3] => [1,2,5,3,6,4] => 8
[-,6,4,2,+,3] => [2,5,3,1,6,4] => 48
[+,6,4,2,-,3] => [1,2,3,6,4,5] => 4
[-,6,4,2,-,3] => [2,3,1,6,4,5] => 16
[+,6,4,3,2,5] => [1,3,2,5,6,4] => 8
[-,6,4,3,2,5] => [3,2,5,1,6,4] => 48
[+,6,4,3,+,2] => [1,3,5,2,6,4] => 16
[-,6,4,3,+,2] => [3,5,2,1,6,4] => 72
[+,6,4,3,-,2] => [1,3,2,6,4,5] => 8
[-,6,4,3,-,2] => [3,2,1,6,4,5] => 24
[+,6,4,5,2,3] => [1,2,3,6,4,5] => 4
[-,6,4,5,2,3] => [2,3,1,6,4,5] => 16
[+,6,4,5,3,2] => [1,3,2,6,4,5] => 8
[-,6,4,5,3,2] => [3,2,1,6,4,5] => 24
[+,6,5,2,3,4] => [1,2,3,4,6,5] => 2
[-,6,5,2,3,4] => [2,3,4,1,6,5] => 16
[+,6,5,2,4,3] => [1,2,4,3,6,5] => 4
[-,6,5,2,4,3] => [2,4,3,1,6,5] => 24
[+,6,5,3,2,4] => [1,3,2,4,6,5] => 4
[-,6,5,3,2,4] => [3,2,4,1,6,5] => 24
[+,6,5,3,4,2] => [1,3,4,2,6,5] => 8
[-,6,5,3,4,2] => [3,4,2,1,6,5] => 36
[+,6,5,+,2,3] => [1,4,2,3,6,5] => 8
[-,6,5,+,2,3] => [4,2,3,1,6,5] => 36
[+,6,5,-,2,3] => [1,2,3,6,5,4] => 6
[-,6,5,-,2,3] => [2,3,1,6,5,4] => 24
[+,6,5,+,3,2] => [1,4,3,2,6,5] => 12
[-,6,5,+,3,2] => [4,3,2,1,6,5] => 48
[+,6,5,-,3,2] => [1,3,2,6,5,4] => 12
[-,6,5,-,3,2] => [3,2,1,6,5,4] => 36
[2,1,+,+,+,+] => [1,3,4,5,6,2] => 16
[2,1,-,+,+,+] => [1,4,5,6,2,3] => 46
[2,1,+,-,+,+] => [1,3,5,6,2,4] => 28
[2,1,+,+,-,+] => [1,3,4,6,2,5] => 16
[2,1,+,+,+,-] => [1,3,4,5,2,6] => 8
[2,1,-,-,+,+] => [1,5,6,2,3,4] => 46
[2,1,-,+,-,+] => [1,4,6,2,3,5] => 28
[2,1,-,+,+,-] => [1,4,5,2,3,6] => 14
[2,1,+,-,-,+] => [1,3,6,2,4,5] => 16
[2,1,+,-,+,-] => [1,3,5,2,4,6] => 8
[2,1,+,+,-,-] => [1,3,4,2,5,6] => 4
[2,1,-,-,-,+] => [1,6,2,3,4,5] => 16
[2,1,-,-,+,-] => [1,5,2,3,4,6] => 8
[2,1,-,+,-,-] => [1,4,2,3,5,6] => 4
[2,1,+,-,-,-] => [1,3,2,4,5,6] => 2
[2,1,-,-,-,-] => [1,2,3,4,5,6] => 1
[2,1,+,+,6,5] => [1,3,4,5,2,6] => 8
[2,1,-,+,6,5] => [1,4,5,2,3,6] => 14
[2,1,+,-,6,5] => [1,3,5,2,4,6] => 8
[2,1,-,-,6,5] => [1,5,2,3,4,6] => 8
[2,1,+,5,4,+] => [1,3,4,6,2,5] => 16
[2,1,-,5,4,+] => [1,4,6,2,3,5] => 28
[2,1,+,5,4,-] => [1,3,4,2,5,6] => 4
[2,1,-,5,4,-] => [1,4,2,3,5,6] => 4
[2,1,+,5,6,4] => [1,3,4,2,5,6] => 4
[2,1,-,5,6,4] => [1,4,2,3,5,6] => 4
[2,1,+,6,4,5] => [1,3,4,5,2,6] => 8
[2,1,-,6,4,5] => [1,4,5,2,3,6] => 14
[2,1,+,6,+,4] => [1,3,5,4,2,6] => 12
[2,1,-,6,+,4] => [1,5,4,2,3,6] => 18
[2,1,+,6,-,4] => [1,3,4,2,6,5] => 8
[2,1,-,6,-,4] => [1,4,2,3,6,5] => 8
[2,1,4,3,+,+] => [1,3,5,6,2,4] => 28
[2,1,4,3,-,+] => [1,3,6,2,4,5] => 16
[2,1,4,3,+,-] => [1,3,5,2,4,6] => 8
[2,1,4,3,-,-] => [1,3,2,4,5,6] => 2
[2,1,4,3,6,5] => [1,3,5,2,4,6] => 8
[2,1,4,5,3,+] => [1,3,6,2,4,5] => 16
[2,1,4,5,3,-] => [1,3,2,4,5,6] => 2
[2,1,4,5,6,3] => [1,3,2,4,5,6] => 2
[2,1,4,6,3,5] => [1,3,5,2,4,6] => 8
[2,1,4,6,+,3] => [1,5,3,2,4,6] => 12
[2,1,4,6,-,3] => [1,3,2,4,6,5] => 4
[2,1,5,3,4,+] => [1,3,4,6,2,5] => 16
[2,1,5,3,4,-] => [1,3,4,2,5,6] => 4
[2,1,5,3,6,4] => [1,3,4,2,5,6] => 4
[2,1,5,+,3,+] => [1,4,3,6,2,5] => 24
[2,1,5,-,3,+] => [1,3,6,2,5,4] => 24
[2,1,5,+,3,-] => [1,4,3,2,5,6] => 6
[2,1,5,-,3,-] => [1,3,2,5,4,6] => 4
[2,1,5,+,6,3] => [1,4,3,2,5,6] => 6
[2,1,5,-,6,3] => [1,3,2,5,4,6] => 4
[2,1,5,6,3,4] => [1,3,4,2,5,6] => 4
[2,1,5,6,4,3] => [1,4,3,2,5,6] => 6
[2,1,6,3,4,5] => [1,3,4,5,2,6] => 8
[2,1,6,3,+,4] => [1,3,5,4,2,6] => 12
[2,1,6,3,-,4] => [1,3,4,2,6,5] => 8
[2,1,6,+,3,5] => [1,4,3,5,2,6] => 12
[2,1,6,-,3,5] => [1,3,5,2,6,4] => 16
[2,1,6,+,+,3] => [1,4,5,3,2,6] => 18
[2,1,6,-,+,3] => [1,5,3,2,6,4] => 24
[2,1,6,+,-,3] => [1,4,3,2,6,5] => 12
[2,1,6,-,-,3] => [1,3,2,6,4,5] => 8
[2,1,6,5,3,4] => [1,3,4,2,6,5] => 8
[2,1,6,5,4,3] => [1,4,3,2,6,5] => 12
[2,3,1,+,+,+] => [1,4,5,6,2,3] => 46
[2,3,1,-,+,+] => [1,5,6,2,3,4] => 46
[2,3,1,+,-,+] => [1,4,6,2,3,5] => 28
[2,3,1,+,+,-] => [1,4,5,2,3,6] => 14
[2,3,1,-,-,+] => [1,6,2,3,4,5] => 16
[2,3,1,-,+,-] => [1,5,2,3,4,6] => 8
[2,3,1,+,-,-] => [1,4,2,3,5,6] => 4
[2,3,1,-,-,-] => [1,2,3,4,5,6] => 1
[2,3,1,+,6,5] => [1,4,5,2,3,6] => 14
[2,3,1,-,6,5] => [1,5,2,3,4,6] => 8
[2,3,1,5,4,+] => [1,4,6,2,3,5] => 28
[2,3,1,5,4,-] => [1,4,2,3,5,6] => 4
[2,3,1,5,6,4] => [1,4,2,3,5,6] => 4
[2,3,1,6,4,5] => [1,4,5,2,3,6] => 14
[2,3,1,6,+,4] => [1,5,4,2,3,6] => 18
[2,3,1,6,-,4] => [1,4,2,3,6,5] => 8
[2,3,4,1,+,+] => [1,5,6,2,3,4] => 46
[2,3,4,1,-,+] => [1,6,2,3,4,5] => 16
[2,3,4,1,+,-] => [1,5,2,3,4,6] => 8
[2,3,4,1,-,-] => [1,2,3,4,5,6] => 1
[2,3,4,1,6,5] => [1,5,2,3,4,6] => 8
[2,3,4,5,1,+] => [1,6,2,3,4,5] => 16
[2,3,4,5,1,-] => [1,2,3,4,5,6] => 1
[2,3,4,5,6,1] => [1,2,3,4,5,6] => 1
[2,3,4,6,1,5] => [1,5,2,3,4,6] => 8
[2,3,4,6,+,1] => [5,1,2,3,4,6] => 16
[2,3,4,6,-,1] => [1,2,3,4,6,5] => 2
[2,3,5,1,4,+] => [1,4,6,2,3,5] => 28
[2,3,5,1,4,-] => [1,4,2,3,5,6] => 4
[2,3,5,1,6,4] => [1,4,2,3,5,6] => 4
[2,3,5,+,1,+] => [4,1,6,2,3,5] => 56
[2,3,5,-,1,+] => [1,6,2,3,5,4] => 24
[2,3,5,+,1,-] => [4,1,2,3,5,6] => 8
[2,3,5,-,1,-] => [1,2,3,5,4,6] => 2
[2,3,5,+,6,1] => [4,1,2,3,5,6] => 8
[2,3,5,-,6,1] => [1,2,3,5,4,6] => 2
[2,3,5,6,1,4] => [1,4,2,3,5,6] => 4
[2,3,5,6,4,1] => [4,1,2,3,5,6] => 8
[2,3,6,1,4,5] => [1,4,5,2,3,6] => 14
[2,3,6,1,+,4] => [1,5,4,2,3,6] => 18
[2,3,6,1,-,4] => [1,4,2,3,6,5] => 8
[2,3,6,+,1,5] => [4,1,5,2,3,6] => 28
[2,3,6,-,1,5] => [1,5,2,3,6,4] => 16
[2,3,6,+,+,1] => [4,5,1,2,3,6] => 46
[2,3,6,-,+,1] => [5,1,2,3,6,4] => 32
[2,3,6,+,-,1] => [4,1,2,3,6,5] => 16
[2,3,6,-,-,1] => [1,2,3,6,4,5] => 4
[2,3,6,5,1,4] => [1,4,2,3,6,5] => 8
[2,3,6,5,4,1] => [4,1,2,3,6,5] => 16
[2,4,1,3,+,+] => [1,3,5,6,2,4] => 28
[2,4,1,3,-,+] => [1,3,6,2,4,5] => 16
[2,4,1,3,+,-] => [1,3,5,2,4,6] => 8
[2,4,1,3,-,-] => [1,3,2,4,5,6] => 2
[2,4,1,3,6,5] => [1,3,5,2,4,6] => 8
[2,4,1,5,3,+] => [1,3,6,2,4,5] => 16
[2,4,1,5,3,-] => [1,3,2,4,5,6] => 2
[2,4,1,5,6,3] => [1,3,2,4,5,6] => 2
[2,4,1,6,3,5] => [1,3,5,2,4,6] => 8
[2,4,1,6,+,3] => [1,5,3,2,4,6] => 12
[2,4,1,6,-,3] => [1,3,2,4,6,5] => 4
[2,4,+,1,+,+] => [3,1,5,6,2,4] => 56
[2,4,-,1,+,+] => [1,5,6,2,4,3] => 60
[2,4,+,1,-,+] => [3,1,6,2,4,5] => 32
[2,4,+,1,+,-] => [3,1,5,2,4,6] => 16
[2,4,-,1,-,+] => [1,6,2,4,3,5] => 24
[2,4,-,1,+,-] => [1,5,2,4,3,6] => 12
[2,4,+,1,-,-] => [3,1,2,4,5,6] => 4
[2,4,-,1,-,-] => [1,2,4,3,5,6] => 2
[2,4,+,1,6,5] => [3,1,5,2,4,6] => 16
[2,4,-,1,6,5] => [1,5,2,4,3,6] => 12
[2,4,+,5,1,+] => [3,1,6,2,4,5] => 32
[2,4,-,5,1,+] => [1,6,2,4,3,5] => 24
[2,4,+,5,1,-] => [3,1,2,4,5,6] => 4
[2,4,-,5,1,-] => [1,2,4,3,5,6] => 2
[2,4,+,5,6,1] => [3,1,2,4,5,6] => 4
[2,4,-,5,6,1] => [1,2,4,3,5,6] => 2
[2,4,+,6,1,5] => [3,1,5,2,4,6] => 16
[2,4,-,6,1,5] => [1,5,2,4,3,6] => 12
[2,4,+,6,+,1] => [3,5,1,2,4,6] => 28
[2,4,-,6,+,1] => [5,1,2,4,3,6] => 24
[2,4,+,6,-,1] => [3,1,2,4,6,5] => 8
[2,4,-,6,-,1] => [1,2,4,3,6,5] => 4
[2,4,5,1,3,+] => [1,3,6,2,4,5] => 16
[2,4,5,1,3,-] => [1,3,2,4,5,6] => 2
[2,4,5,1,6,3] => [1,3,2,4,5,6] => 2
[2,4,5,3,1,+] => [3,1,6,2,4,5] => 32
[2,4,5,3,1,-] => [3,1,2,4,5,6] => 4
[2,4,5,3,6,1] => [3,1,2,4,5,6] => 4
[2,4,5,6,1,3] => [1,3,2,4,5,6] => 2
[2,4,5,6,3,1] => [3,1,2,4,5,6] => 4
[2,4,6,1,3,5] => [1,3,5,2,4,6] => 8
[2,4,6,1,+,3] => [1,5,3,2,4,6] => 12
[2,4,6,1,-,3] => [1,3,2,4,6,5] => 4
[2,4,6,3,1,5] => [3,1,5,2,4,6] => 16
[2,4,6,3,+,1] => [3,5,1,2,4,6] => 28
[2,4,6,3,-,1] => [3,1,2,4,6,5] => 8
[2,4,6,5,1,3] => [1,3,2,4,6,5] => 4
[2,4,6,5,3,1] => [3,1,2,4,6,5] => 8
[2,5,1,3,4,+] => [1,3,4,6,2,5] => 16
[2,5,1,3,4,-] => [1,3,4,2,5,6] => 4
[2,5,1,3,6,4] => [1,3,4,2,5,6] => 4
[2,5,1,+,3,+] => [1,4,3,6,2,5] => 24
[2,5,1,-,3,+] => [1,3,6,2,5,4] => 24
[2,5,1,+,3,-] => [1,4,3,2,5,6] => 6
[2,5,1,-,3,-] => [1,3,2,5,4,6] => 4
[2,5,1,+,6,3] => [1,4,3,2,5,6] => 6
[2,5,1,-,6,3] => [1,3,2,5,4,6] => 4
[2,5,1,6,3,4] => [1,3,4,2,5,6] => 4
[2,5,1,6,4,3] => [1,4,3,2,5,6] => 6
[2,5,+,1,4,+] => [3,1,4,6,2,5] => 32
[2,5,-,1,4,+] => [1,4,6,2,5,3] => 42
[2,5,+,1,4,-] => [3,1,4,2,5,6] => 8
[2,5,-,1,4,-] => [1,4,2,5,3,6] => 8
[2,5,+,1,6,4] => [3,1,4,2,5,6] => 8
[2,5,-,1,6,4] => [1,4,2,5,3,6] => 8
[2,5,+,+,1,+] => [3,4,1,6,2,5] => 56
[2,5,-,+,1,+] => [4,1,6,2,5,3] => 84
[2,5,+,-,1,+] => [3,1,6,2,5,4] => 48
[2,5,+,+,1,-] => [3,4,1,2,5,6] => 14
[2,5,-,-,1,+] => [1,6,2,5,3,4] => 36
[2,5,-,+,1,-] => [4,1,2,5,3,6] => 16
[2,5,+,-,1,-] => [3,1,2,5,4,6] => 8
[2,5,-,-,1,-] => [1,2,5,3,4,6] => 4
[2,5,+,+,6,1] => [3,4,1,2,5,6] => 14
[2,5,-,+,6,1] => [4,1,2,5,3,6] => 16
[2,5,+,-,6,1] => [3,1,2,5,4,6] => 8
[2,5,-,-,6,1] => [1,2,5,3,4,6] => 4
[2,5,+,6,1,4] => [3,1,4,2,5,6] => 8
[2,5,-,6,1,4] => [1,4,2,5,3,6] => 8
[2,5,+,6,4,1] => [3,4,1,2,5,6] => 14
[2,5,-,6,4,1] => [4,1,2,5,3,6] => 16
[2,5,4,1,3,+] => [1,3,6,2,5,4] => 24
[2,5,4,1,3,-] => [1,3,2,5,4,6] => 4
[2,5,4,1,6,3] => [1,3,2,5,4,6] => 4
[2,5,4,3,1,+] => [3,1,6,2,5,4] => 48
[2,5,4,3,1,-] => [3,1,2,5,4,6] => 8
[2,5,4,3,6,1] => [3,1,2,5,4,6] => 8
[2,5,4,6,1,3] => [1,3,2,5,4,6] => 4
[2,5,4,6,3,1] => [3,1,2,5,4,6] => 8
[2,5,6,1,3,4] => [1,3,4,2,5,6] => 4
[2,5,6,1,4,3] => [1,4,3,2,5,6] => 6
[2,5,6,3,1,4] => [3,1,4,2,5,6] => 8
[2,5,6,3,4,1] => [3,4,1,2,5,6] => 14
[2,5,6,+,1,3] => [4,1,3,2,5,6] => 12
[2,5,6,-,1,3] => [1,3,2,5,6,4] => 8
[2,5,6,+,3,1] => [4,3,1,2,5,6] => 18
[2,5,6,-,3,1] => [3,1,2,5,6,4] => 16
[2,6,1,3,4,5] => [1,3,4,5,2,6] => 8
[2,6,1,3,+,4] => [1,3,5,4,2,6] => 12
[2,6,1,3,-,4] => [1,3,4,2,6,5] => 8
[2,6,1,+,3,5] => [1,4,3,5,2,6] => 12
[2,6,1,-,3,5] => [1,3,5,2,6,4] => 16
[2,6,1,+,+,3] => [1,4,5,3,2,6] => 18
[2,6,1,-,+,3] => [1,5,3,2,6,4] => 24
[2,6,1,+,-,3] => [1,4,3,2,6,5] => 12
[2,6,1,-,-,3] => [1,3,2,6,4,5] => 8
[2,6,1,5,3,4] => [1,3,4,2,6,5] => 8
[2,6,1,5,4,3] => [1,4,3,2,6,5] => 12
[2,6,+,1,4,5] => [3,1,4,5,2,6] => 16
[2,6,-,1,4,5] => [1,4,5,2,6,3] => 28
[2,6,+,1,+,4] => [3,1,5,4,2,6] => 24
[2,6,-,1,+,4] => [1,5,4,2,6,3] => 36
[2,6,+,1,-,4] => [3,1,4,2,6,5] => 16
[2,6,-,1,-,4] => [1,4,2,6,3,5] => 16
[2,6,+,+,1,5] => [3,4,1,5,2,6] => 28
[2,6,-,+,1,5] => [4,1,5,2,6,3] => 56
[2,6,+,-,1,5] => [3,1,5,2,6,4] => 32
[2,6,-,-,1,5] => [1,5,2,6,3,4] => 28
[2,6,+,+,+,1] => [3,4,5,1,2,6] => 46
[2,6,-,+,+,1] => [4,5,1,2,6,3] => 92
[2,6,+,-,+,1] => [3,5,1,2,6,4] => 56
[2,6,+,+,-,1] => [3,4,1,2,6,5] => 28
[2,6,-,-,+,1] => [5,1,2,6,3,4] => 56
[2,6,-,+,-,1] => [4,1,2,6,3,5] => 32
[2,6,+,-,-,1] => [3,1,2,6,4,5] => 16
[2,6,-,-,-,1] => [1,2,6,3,4,5] => 8
[2,6,+,5,1,4] => [3,1,4,2,6,5] => 16
[2,6,-,5,1,4] => [1,4,2,6,3,5] => 16
[2,6,+,5,4,1] => [3,4,1,2,6,5] => 28
[2,6,-,5,4,1] => [4,1,2,6,3,5] => 32
[2,6,4,1,3,5] => [1,3,5,2,6,4] => 16
[2,6,4,1,+,3] => [1,5,3,2,6,4] => 24
[2,6,4,1,-,3] => [1,3,2,6,4,5] => 8
[2,6,4,3,1,5] => [3,1,5,2,6,4] => 32
[2,6,4,3,+,1] => [3,5,1,2,6,4] => 56
[2,6,4,3,-,1] => [3,1,2,6,4,5] => 16
[2,6,4,5,1,3] => [1,3,2,6,4,5] => 8
[2,6,4,5,3,1] => [3,1,2,6,4,5] => 16
[2,6,5,1,3,4] => [1,3,4,2,6,5] => 8
[2,6,5,1,4,3] => [1,4,3,2,6,5] => 12
[2,6,5,3,1,4] => [3,1,4,2,6,5] => 16
[2,6,5,3,4,1] => [3,4,1,2,6,5] => 28
[2,6,5,+,1,3] => [4,1,3,2,6,5] => 24
[2,6,5,-,1,3] => [1,3,2,6,5,4] => 12
[2,6,5,+,3,1] => [4,3,1,2,6,5] => 36
[2,6,5,-,3,1] => [3,1,2,6,5,4] => 24
[3,1,2,+,+,+] => [1,2,4,5,6,3] => 8
[3,1,2,-,+,+] => [1,2,5,6,3,4] => 14
[3,1,2,+,-,+] => [1,2,4,6,3,5] => 8
[3,1,2,+,+,-] => [1,2,4,5,3,6] => 4
[3,1,2,-,-,+] => [1,2,6,3,4,5] => 8
[3,1,2,-,+,-] => [1,2,5,3,4,6] => 4
[3,1,2,+,-,-] => [1,2,4,3,5,6] => 2
[3,1,2,-,-,-] => [1,2,3,4,5,6] => 1
[3,1,2,+,6,5] => [1,2,4,5,3,6] => 4
[3,1,2,-,6,5] => [1,2,5,3,4,6] => 4
[3,1,2,5,4,+] => [1,2,4,6,3,5] => 8
[3,1,2,5,4,-] => [1,2,4,3,5,6] => 2
[3,1,2,5,6,4] => [1,2,4,3,5,6] => 2
[3,1,2,6,4,5] => [1,2,4,5,3,6] => 4
[3,1,2,6,+,4] => [1,2,5,4,3,6] => 6
[3,1,2,6,-,4] => [1,2,4,3,6,5] => 4
[3,1,4,2,+,+] => [1,2,5,6,3,4] => 14
[3,1,4,2,-,+] => [1,2,6,3,4,5] => 8
[3,1,4,2,+,-] => [1,2,5,3,4,6] => 4
[3,1,4,2,-,-] => [1,2,3,4,5,6] => 1
[3,1,4,2,6,5] => [1,2,5,3,4,6] => 4
[3,1,4,5,2,+] => [1,2,6,3,4,5] => 8
[3,1,4,5,2,-] => [1,2,3,4,5,6] => 1
[3,1,4,5,6,2] => [1,2,3,4,5,6] => 1
[3,1,4,6,2,5] => [1,2,5,3,4,6] => 4
[3,1,4,6,+,2] => [1,5,2,3,4,6] => 8
[3,1,4,6,-,2] => [1,2,3,4,6,5] => 2
[3,1,5,2,4,+] => [1,2,4,6,3,5] => 8
[3,1,5,2,4,-] => [1,2,4,3,5,6] => 2
[3,1,5,2,6,4] => [1,2,4,3,5,6] => 2
[3,1,5,+,2,+] => [1,4,2,6,3,5] => 16
[3,1,5,-,2,+] => [1,2,6,3,5,4] => 12
[3,1,5,+,2,-] => [1,4,2,3,5,6] => 4
[3,1,5,-,2,-] => [1,2,3,5,4,6] => 2
[3,1,5,+,6,2] => [1,4,2,3,5,6] => 4
[3,1,5,-,6,2] => [1,2,3,5,4,6] => 2
[3,1,5,6,2,4] => [1,2,4,3,5,6] => 2
[3,1,5,6,4,2] => [1,4,2,3,5,6] => 4
[3,1,6,2,4,5] => [1,2,4,5,3,6] => 4
[3,1,6,2,+,4] => [1,2,5,4,3,6] => 6
[3,1,6,2,-,4] => [1,2,4,3,6,5] => 4
[3,1,6,+,2,5] => [1,4,2,5,3,6] => 8
[3,1,6,-,2,5] => [1,2,5,3,6,4] => 8
[3,1,6,+,+,2] => [1,4,5,2,3,6] => 14
[3,1,6,-,+,2] => [1,5,2,3,6,4] => 16
[3,1,6,+,-,2] => [1,4,2,3,6,5] => 8
[3,1,6,-,-,2] => [1,2,3,6,4,5] => 4
[3,1,6,5,2,4] => [1,2,4,3,6,5] => 4
[3,1,6,5,4,2] => [1,4,2,3,6,5] => 8
[3,+,1,+,+,+] => [2,1,4,5,6,3] => 16
[3,-,1,+,+,+] => [1,4,5,6,3,2] => 54
[3,+,1,-,+,+] => [2,1,5,6,3,4] => 28
[3,+,1,+,-,+] => [2,1,4,6,3,5] => 16
[3,+,1,+,+,-] => [2,1,4,5,3,6] => 8
[3,-,1,-,+,+] => [1,5,6,3,2,4] => 60
[3,-,1,+,-,+] => [1,4,6,3,2,5] => 36
[3,-,1,+,+,-] => [1,4,5,3,2,6] => 18
[3,+,1,-,-,+] => [2,1,6,3,4,5] => 16
[3,+,1,-,+,-] => [2,1,5,3,4,6] => 8
[3,+,1,+,-,-] => [2,1,4,3,5,6] => 4
[3,-,1,-,-,+] => [1,6,3,2,4,5] => 24
[3,-,1,-,+,-] => [1,5,3,2,4,6] => 12
[3,-,1,+,-,-] => [1,4,3,2,5,6] => 6
[3,+,1,-,-,-] => [2,1,3,4,5,6] => 2
[3,-,1,-,-,-] => [1,3,2,4,5,6] => 2
[3,+,1,+,6,5] => [2,1,4,5,3,6] => 8
[3,-,1,+,6,5] => [1,4,5,3,2,6] => 18
[3,+,1,-,6,5] => [2,1,5,3,4,6] => 8
[3,-,1,-,6,5] => [1,5,3,2,4,6] => 12
[3,+,1,5,4,+] => [2,1,4,6,3,5] => 16
[3,-,1,5,4,+] => [1,4,6,3,2,5] => 36
[3,+,1,5,4,-] => [2,1,4,3,5,6] => 4
[3,-,1,5,4,-] => [1,4,3,2,5,6] => 6
[3,+,1,5,6,4] => [2,1,4,3,5,6] => 4
[3,-,1,5,6,4] => [1,4,3,2,5,6] => 6
[3,+,1,6,4,5] => [2,1,4,5,3,6] => 8
[3,-,1,6,4,5] => [1,4,5,3,2,6] => 18
[3,+,1,6,+,4] => [2,1,5,4,3,6] => 12
[3,-,1,6,+,4] => [1,5,4,3,2,6] => 24
[3,+,1,6,-,4] => [2,1,4,3,6,5] => 8
[3,-,1,6,-,4] => [1,4,3,2,6,5] => 12
[3,+,4,1,+,+] => [2,1,5,6,3,4] => 28
[3,-,4,1,+,+] => [1,5,6,3,2,4] => 60
[3,+,4,1,-,+] => [2,1,6,3,4,5] => 16
[3,+,4,1,+,-] => [2,1,5,3,4,6] => 8
[3,-,4,1,-,+] => [1,6,3,2,4,5] => 24
[3,-,4,1,+,-] => [1,5,3,2,4,6] => 12
[3,+,4,1,-,-] => [2,1,3,4,5,6] => 2
[3,-,4,1,-,-] => [1,3,2,4,5,6] => 2
[3,+,4,1,6,5] => [2,1,5,3,4,6] => 8
[3,-,4,1,6,5] => [1,5,3,2,4,6] => 12
[3,+,4,5,1,+] => [2,1,6,3,4,5] => 16
[3,-,4,5,1,+] => [1,6,3,2,4,5] => 24
[3,+,4,5,1,-] => [2,1,3,4,5,6] => 2
[3,-,4,5,1,-] => [1,3,2,4,5,6] => 2
[3,+,4,5,6,1] => [2,1,3,4,5,6] => 2
[3,-,4,5,6,1] => [1,3,2,4,5,6] => 2
[3,+,4,6,1,5] => [2,1,5,3,4,6] => 8
[3,-,4,6,1,5] => [1,5,3,2,4,6] => 12
[3,+,4,6,+,1] => [2,5,1,3,4,6] => 16
[3,-,4,6,+,1] => [5,1,3,2,4,6] => 24
[3,+,4,6,-,1] => [2,1,3,4,6,5] => 4
[3,-,4,6,-,1] => [1,3,2,4,6,5] => 4
[3,+,5,1,4,+] => [2,1,4,6,3,5] => 16
[3,-,5,1,4,+] => [1,4,6,3,2,5] => 36
[3,+,5,1,4,-] => [2,1,4,3,5,6] => 4
[3,-,5,1,4,-] => [1,4,3,2,5,6] => 6
[3,+,5,1,6,4] => [2,1,4,3,5,6] => 4
[3,-,5,1,6,4] => [1,4,3,2,5,6] => 6
[3,+,5,+,1,+] => [2,4,1,6,3,5] => 32
[3,-,5,+,1,+] => [4,1,6,3,2,5] => 72
[3,+,5,-,1,+] => [2,1,6,3,5,4] => 24
[3,+,5,+,1,-] => [2,4,1,3,5,6] => 8
[3,-,5,-,1,+] => [1,6,3,2,5,4] => 36
[3,-,5,+,1,-] => [4,1,3,2,5,6] => 12
[3,+,5,-,1,-] => [2,1,3,5,4,6] => 4
[3,-,5,-,1,-] => [1,3,2,5,4,6] => 4
[3,+,5,+,6,1] => [2,4,1,3,5,6] => 8
[3,-,5,+,6,1] => [4,1,3,2,5,6] => 12
[3,+,5,-,6,1] => [2,1,3,5,4,6] => 4
[3,-,5,-,6,1] => [1,3,2,5,4,6] => 4
[3,+,5,6,1,4] => [2,1,4,3,5,6] => 4
[3,-,5,6,1,4] => [1,4,3,2,5,6] => 6
[3,+,5,6,4,1] => [2,4,1,3,5,6] => 8
[3,-,5,6,4,1] => [4,1,3,2,5,6] => 12
[3,+,6,1,4,5] => [2,1,4,5,3,6] => 8
[3,-,6,1,4,5] => [1,4,5,3,2,6] => 18
[3,+,6,1,+,4] => [2,1,5,4,3,6] => 12
[3,-,6,1,+,4] => [1,5,4,3,2,6] => 24
[3,+,6,1,-,4] => [2,1,4,3,6,5] => 8
[3,-,6,1,-,4] => [1,4,3,2,6,5] => 12
[3,+,6,+,1,5] => [2,4,1,5,3,6] => 16
[3,-,6,+,1,5] => [4,1,5,3,2,6] => 36
[3,+,6,-,1,5] => [2,1,5,3,6,4] => 16
[3,-,6,-,1,5] => [1,5,3,2,6,4] => 24
[3,+,6,+,+,1] => [2,4,5,1,3,6] => 28
[3,-,6,+,+,1] => [4,5,1,3,2,6] => 60
[3,+,6,-,+,1] => [2,5,1,3,6,4] => 32
[3,+,6,+,-,1] => [2,4,1,3,6,5] => 16
[3,-,6,-,+,1] => [5,1,3,2,6,4] => 48
[3,-,6,+,-,1] => [4,1,3,2,6,5] => 24
[3,+,6,-,-,1] => [2,1,3,6,4,5] => 8
[3,-,6,-,-,1] => [1,3,2,6,4,5] => 8
[3,+,6,5,1,4] => [2,1,4,3,6,5] => 8
[3,-,6,5,1,4] => [1,4,3,2,6,5] => 12
[3,+,6,5,4,1] => [2,4,1,3,6,5] => 16
[3,-,6,5,4,1] => [4,1,3,2,6,5] => 24
[3,4,1,2,+,+] => [1,2,5,6,3,4] => 14
[3,4,1,2,-,+] => [1,2,6,3,4,5] => 8
[3,4,1,2,+,-] => [1,2,5,3,4,6] => 4
[3,4,1,2,-,-] => [1,2,3,4,5,6] => 1
[3,4,1,2,6,5] => [1,2,5,3,4,6] => 4
[3,4,1,5,2,+] => [1,2,6,3,4,5] => 8
[3,4,1,5,2,-] => [1,2,3,4,5,6] => 1
[3,4,1,5,6,2] => [1,2,3,4,5,6] => 1
[3,4,1,6,2,5] => [1,2,5,3,4,6] => 4
[3,4,1,6,+,2] => [1,5,2,3,4,6] => 8
[3,4,1,6,-,2] => [1,2,3,4,6,5] => 2
[3,4,2,1,+,+] => [2,1,5,6,3,4] => 28
[3,4,2,1,-,+] => [2,1,6,3,4,5] => 16
[3,4,2,1,+,-] => [2,1,5,3,4,6] => 8
[3,4,2,1,-,-] => [2,1,3,4,5,6] => 2
[3,4,2,1,6,5] => [2,1,5,3,4,6] => 8
[3,4,2,5,1,+] => [2,1,6,3,4,5] => 16
[3,4,2,5,1,-] => [2,1,3,4,5,6] => 2
[3,4,2,5,6,1] => [2,1,3,4,5,6] => 2
[3,4,2,6,1,5] => [2,1,5,3,4,6] => 8
[3,4,2,6,+,1] => [2,5,1,3,4,6] => 16
[3,4,2,6,-,1] => [2,1,3,4,6,5] => 4
[3,4,5,1,2,+] => [1,2,6,3,4,5] => 8
[3,4,5,1,2,-] => [1,2,3,4,5,6] => 1
[3,4,5,1,6,2] => [1,2,3,4,5,6] => 1
[3,4,5,2,1,+] => [2,1,6,3,4,5] => 16
[3,4,5,2,1,-] => [2,1,3,4,5,6] => 2
[3,4,5,2,6,1] => [2,1,3,4,5,6] => 2
[3,4,5,6,1,2] => [1,2,3,4,5,6] => 1
[3,4,5,6,2,1] => [2,1,3,4,5,6] => 2
[3,4,6,1,2,5] => [1,2,5,3,4,6] => 4
[3,4,6,1,+,2] => [1,5,2,3,4,6] => 8
[3,4,6,1,-,2] => [1,2,3,4,6,5] => 2
[3,4,6,2,1,5] => [2,1,5,3,4,6] => 8
[3,4,6,2,+,1] => [2,5,1,3,4,6] => 16
[3,4,6,2,-,1] => [2,1,3,4,6,5] => 4
[3,4,6,5,1,2] => [1,2,3,4,6,5] => 2
[3,4,6,5,2,1] => [2,1,3,4,6,5] => 4
[3,5,1,2,4,+] => [1,2,4,6,3,5] => 8
[3,5,1,2,4,-] => [1,2,4,3,5,6] => 2
[3,5,1,2,6,4] => [1,2,4,3,5,6] => 2
[3,5,1,+,2,+] => [1,4,2,6,3,5] => 16
[3,5,1,-,2,+] => [1,2,6,3,5,4] => 12
[3,5,1,+,2,-] => [1,4,2,3,5,6] => 4
[3,5,1,-,2,-] => [1,2,3,5,4,6] => 2
[3,5,1,+,6,2] => [1,4,2,3,5,6] => 4
[3,5,1,-,6,2] => [1,2,3,5,4,6] => 2
[3,5,1,6,2,4] => [1,2,4,3,5,6] => 2
[3,5,1,6,4,2] => [1,4,2,3,5,6] => 4
[3,5,2,1,4,+] => [2,1,4,6,3,5] => 16
[3,5,2,1,4,-] => [2,1,4,3,5,6] => 4
[3,5,2,1,6,4] => [2,1,4,3,5,6] => 4
[3,5,2,+,1,+] => [2,4,1,6,3,5] => 32
[3,5,2,-,1,+] => [2,1,6,3,5,4] => 24
[3,5,2,+,1,-] => [2,4,1,3,5,6] => 8
[3,5,2,-,1,-] => [2,1,3,5,4,6] => 4
[3,5,2,+,6,1] => [2,4,1,3,5,6] => 8
[3,5,2,-,6,1] => [2,1,3,5,4,6] => 4
[3,5,2,6,1,4] => [2,1,4,3,5,6] => 4
[3,5,2,6,4,1] => [2,4,1,3,5,6] => 8
[3,5,4,1,2,+] => [1,2,6,3,5,4] => 12
[3,5,4,1,2,-] => [1,2,3,5,4,6] => 2
[3,5,4,1,6,2] => [1,2,3,5,4,6] => 2
[3,5,4,2,1,+] => [2,1,6,3,5,4] => 24
[3,5,4,2,1,-] => [2,1,3,5,4,6] => 4
[3,5,4,2,6,1] => [2,1,3,5,4,6] => 4
[3,5,4,6,1,2] => [1,2,3,5,4,6] => 2
[3,5,4,6,2,1] => [2,1,3,5,4,6] => 4
[3,5,6,1,2,4] => [1,2,4,3,5,6] => 2
[3,5,6,1,4,2] => [1,4,2,3,5,6] => 4
[3,5,6,2,1,4] => [2,1,4,3,5,6] => 4
[3,5,6,2,4,1] => [2,4,1,3,5,6] => 8
[3,5,6,+,1,2] => [4,1,2,3,5,6] => 8
[3,5,6,-,1,2] => [1,2,3,5,6,4] => 4
[3,5,6,+,2,1] => [4,2,1,3,5,6] => 12
[3,5,6,-,2,1] => [2,1,3,5,6,4] => 8
[3,6,1,2,4,5] => [1,2,4,5,3,6] => 4
[3,6,1,2,+,4] => [1,2,5,4,3,6] => 6
[3,6,1,2,-,4] => [1,2,4,3,6,5] => 4
[3,6,1,+,2,5] => [1,4,2,5,3,6] => 8
[3,6,1,-,2,5] => [1,2,5,3,6,4] => 8
[3,6,1,+,+,2] => [1,4,5,2,3,6] => 14
[3,6,1,-,+,2] => [1,5,2,3,6,4] => 16
[3,6,1,+,-,2] => [1,4,2,3,6,5] => 8
[3,6,1,-,-,2] => [1,2,3,6,4,5] => 4
[3,6,1,5,2,4] => [1,2,4,3,6,5] => 4
[3,6,1,5,4,2] => [1,4,2,3,6,5] => 8
[3,6,2,1,4,5] => [2,1,4,5,3,6] => 8
[3,6,2,1,+,4] => [2,1,5,4,3,6] => 12
[3,6,2,1,-,4] => [2,1,4,3,6,5] => 8
[3,6,2,+,1,5] => [2,4,1,5,3,6] => 16
[3,6,2,-,1,5] => [2,1,5,3,6,4] => 16
[3,6,2,+,+,1] => [2,4,5,1,3,6] => 28
[3,6,2,-,+,1] => [2,5,1,3,6,4] => 32
[3,6,2,+,-,1] => [2,4,1,3,6,5] => 16
[3,6,2,-,-,1] => [2,1,3,6,4,5] => 8
[3,6,2,5,1,4] => [2,1,4,3,6,5] => 8
[3,6,2,5,4,1] => [2,4,1,3,6,5] => 16
[3,6,4,1,2,5] => [1,2,5,3,6,4] => 8
[3,6,4,1,+,2] => [1,5,2,3,6,4] => 16
[3,6,4,1,-,2] => [1,2,3,6,4,5] => 4
[3,6,4,2,1,5] => [2,1,5,3,6,4] => 16
[3,6,4,2,+,1] => [2,5,1,3,6,4] => 32
[3,6,4,2,-,1] => [2,1,3,6,4,5] => 8
[3,6,4,5,1,2] => [1,2,3,6,4,5] => 4
[3,6,4,5,2,1] => [2,1,3,6,4,5] => 8
[3,6,5,1,2,4] => [1,2,4,3,6,5] => 4
[3,6,5,1,4,2] => [1,4,2,3,6,5] => 8
[3,6,5,2,1,4] => [2,1,4,3,6,5] => 8
[3,6,5,2,4,1] => [2,4,1,3,6,5] => 16
[3,6,5,+,1,2] => [4,1,2,3,6,5] => 16
[3,6,5,-,1,2] => [1,2,3,6,5,4] => 6
[3,6,5,+,2,1] => [4,2,1,3,6,5] => 24
[3,6,5,-,2,1] => [2,1,3,6,5,4] => 12
[4,1,2,3,+,+] => [1,2,3,5,6,4] => 4
[4,1,2,3,-,+] => [1,2,3,6,4,5] => 4
[4,1,2,3,+,-] => [1,2,3,5,4,6] => 2
[4,1,2,3,-,-] => [1,2,3,4,5,6] => 1
[4,1,2,3,6,5] => [1,2,3,5,4,6] => 2
[4,1,2,5,3,+] => [1,2,3,6,4,5] => 4
[4,1,2,5,3,-] => [1,2,3,4,5,6] => 1
[4,1,2,5,6,3] => [1,2,3,4,5,6] => 1
[4,1,2,6,3,5] => [1,2,3,5,4,6] => 2
[4,1,2,6,+,3] => [1,2,5,3,4,6] => 4
[4,1,2,6,-,3] => [1,2,3,4,6,5] => 2
[4,1,+,2,+,+] => [1,3,2,5,6,4] => 8
[4,1,-,2,+,+] => [1,2,5,6,4,3] => 18
[4,1,+,2,-,+] => [1,3,2,6,4,5] => 8
[4,1,+,2,+,-] => [1,3,2,5,4,6] => 4
[4,1,-,2,-,+] => [1,2,6,4,3,5] => 12
[4,1,-,2,+,-] => [1,2,5,4,3,6] => 6
[4,1,+,2,-,-] => [1,3,2,4,5,6] => 2
[4,1,-,2,-,-] => [1,2,4,3,5,6] => 2
[4,1,+,2,6,5] => [1,3,2,5,4,6] => 4
[4,1,-,2,6,5] => [1,2,5,4,3,6] => 6
[4,1,+,5,2,+] => [1,3,2,6,4,5] => 8
[4,1,-,5,2,+] => [1,2,6,4,3,5] => 12
[4,1,+,5,2,-] => [1,3,2,4,5,6] => 2
[4,1,-,5,2,-] => [1,2,4,3,5,6] => 2
[4,1,+,5,6,2] => [1,3,2,4,5,6] => 2
[4,1,-,5,6,2] => [1,2,4,3,5,6] => 2
[4,1,+,6,2,5] => [1,3,2,5,4,6] => 4
[4,1,-,6,2,5] => [1,2,5,4,3,6] => 6
[4,1,+,6,+,2] => [1,3,5,2,4,6] => 8
[4,1,-,6,+,2] => [1,5,2,4,3,6] => 12
[4,1,+,6,-,2] => [1,3,2,4,6,5] => 4
[4,1,-,6,-,2] => [1,2,4,3,6,5] => 4
[4,1,5,2,3,+] => [1,2,3,6,4,5] => 4
[4,1,5,2,3,-] => [1,2,3,4,5,6] => 1
[4,1,5,2,6,3] => [1,2,3,4,5,6] => 1
[4,1,5,3,2,+] => [1,3,2,6,4,5] => 8
[4,1,5,3,2,-] => [1,3,2,4,5,6] => 2
[4,1,5,3,6,2] => [1,3,2,4,5,6] => 2
[4,1,5,6,2,3] => [1,2,3,4,5,6] => 1
[4,1,5,6,3,2] => [1,3,2,4,5,6] => 2
[4,1,6,2,3,5] => [1,2,3,5,4,6] => 2
[4,1,6,2,+,3] => [1,2,5,3,4,6] => 4
[4,1,6,2,-,3] => [1,2,3,4,6,5] => 2
[4,1,6,3,2,5] => [1,3,2,5,4,6] => 4
[4,1,6,3,+,2] => [1,3,5,2,4,6] => 8
[4,1,6,3,-,2] => [1,3,2,4,6,5] => 4
[4,1,6,5,2,3] => [1,2,3,4,6,5] => 2
[4,1,6,5,3,2] => [1,3,2,4,6,5] => 4
[4,+,1,3,+,+] => [2,1,3,5,6,4] => 8
[4,-,1,3,+,+] => [1,3,5,6,4,2] => 36
[4,+,1,3,-,+] => [2,1,3,6,4,5] => 8
[4,+,1,3,+,-] => [2,1,3,5,4,6] => 4
[4,-,1,3,-,+] => [1,3,6,4,2,5] => 24
[4,-,1,3,+,-] => [1,3,5,4,2,6] => 12
[4,+,1,3,-,-] => [2,1,3,4,5,6] => 2
[4,-,1,3,-,-] => [1,3,4,2,5,6] => 4
[4,+,1,3,6,5] => [2,1,3,5,4,6] => 4
[4,-,1,3,6,5] => [1,3,5,4,2,6] => 12
[4,+,1,5,3,+] => [2,1,3,6,4,5] => 8
[4,-,1,5,3,+] => [1,3,6,4,2,5] => 24
[4,+,1,5,3,-] => [2,1,3,4,5,6] => 2
[4,-,1,5,3,-] => [1,3,4,2,5,6] => 4
[4,+,1,5,6,3] => [2,1,3,4,5,6] => 2
[4,-,1,5,6,3] => [1,3,4,2,5,6] => 4
[4,+,1,6,3,5] => [2,1,3,5,4,6] => 4
[4,-,1,6,3,5] => [1,3,5,4,2,6] => 12
[4,+,1,6,+,3] => [2,1,5,3,4,6] => 8
[4,-,1,6,+,3] => [1,5,3,4,2,6] => 18
[4,+,1,6,-,3] => [2,1,3,4,6,5] => 4
[4,-,1,6,-,3] => [1,3,4,2,6,5] => 8
[4,+,+,1,+,+] => [2,3,1,5,6,4] => 16
[4,-,+,1,+,+] => [3,1,5,6,4,2] => 72
[4,+,-,1,+,+] => [2,1,5,6,4,3] => 36
[4,+,+,1,-,+] => [2,3,1,6,4,5] => 16
[4,+,+,1,+,-] => [2,3,1,5,4,6] => 8
[4,-,-,1,+,+] => [1,5,6,4,2,3] => 78
[4,-,+,1,-,+] => [3,1,6,4,2,5] => 48
[4,-,+,1,+,-] => [3,1,5,4,2,6] => 24
[4,+,-,1,-,+] => [2,1,6,4,3,5] => 24
[4,+,-,1,+,-] => [2,1,5,4,3,6] => 12
[4,+,+,1,-,-] => [2,3,1,4,5,6] => 4
[4,-,-,1,-,+] => [1,6,4,2,3,5] => 36
[4,-,-,1,+,-] => [1,5,4,2,3,6] => 18
[4,-,+,1,-,-] => [3,1,4,2,5,6] => 8
[4,+,-,1,-,-] => [2,1,4,3,5,6] => 4
[4,-,-,1,-,-] => [1,4,2,3,5,6] => 4
[4,+,+,1,6,5] => [2,3,1,5,4,6] => 8
[4,-,+,1,6,5] => [3,1,5,4,2,6] => 24
[4,+,-,1,6,5] => [2,1,5,4,3,6] => 12
[4,-,-,1,6,5] => [1,5,4,2,3,6] => 18
[4,+,+,5,1,+] => [2,3,1,6,4,5] => 16
[4,-,+,5,1,+] => [3,1,6,4,2,5] => 48
[4,+,-,5,1,+] => [2,1,6,4,3,5] => 24
[4,+,+,5,1,-] => [2,3,1,4,5,6] => 4
[4,-,-,5,1,+] => [1,6,4,2,3,5] => 36
[4,-,+,5,1,-] => [3,1,4,2,5,6] => 8
[4,+,-,5,1,-] => [2,1,4,3,5,6] => 4
[4,-,-,5,1,-] => [1,4,2,3,5,6] => 4
[4,+,+,5,6,1] => [2,3,1,4,5,6] => 4
[4,-,+,5,6,1] => [3,1,4,2,5,6] => 8
[4,+,-,5,6,1] => [2,1,4,3,5,6] => 4
[4,-,-,5,6,1] => [1,4,2,3,5,6] => 4
[4,+,+,6,1,5] => [2,3,1,5,4,6] => 8
[4,-,+,6,1,5] => [3,1,5,4,2,6] => 24
[4,+,-,6,1,5] => [2,1,5,4,3,6] => 12
[4,-,-,6,1,5] => [1,5,4,2,3,6] => 18
[4,+,+,6,+,1] => [2,3,5,1,4,6] => 16
[4,-,+,6,+,1] => [3,5,1,4,2,6] => 42
[4,+,-,6,+,1] => [2,5,1,4,3,6] => 24
[4,+,+,6,-,1] => [2,3,1,4,6,5] => 8
[4,-,-,6,+,1] => [5,1,4,2,3,6] => 36
[4,-,+,6,-,1] => [3,1,4,2,6,5] => 16
[4,+,-,6,-,1] => [2,1,4,3,6,5] => 8
[4,-,-,6,-,1] => [1,4,2,3,6,5] => 8
[4,+,5,1,3,+] => [2,1,3,6,4,5] => 8
[4,-,5,1,3,+] => [1,3,6,4,2,5] => 24
[4,+,5,1,3,-] => [2,1,3,4,5,6] => 2
[4,-,5,1,3,-] => [1,3,4,2,5,6] => 4
[4,+,5,1,6,3] => [2,1,3,4,5,6] => 2
[4,-,5,1,6,3] => [1,3,4,2,5,6] => 4
[4,+,5,3,1,+] => [2,3,1,6,4,5] => 16
[4,-,5,3,1,+] => [3,1,6,4,2,5] => 48
[4,+,5,3,1,-] => [2,3,1,4,5,6] => 4
[4,-,5,3,1,-] => [3,1,4,2,5,6] => 8
[4,+,5,3,6,1] => [2,3,1,4,5,6] => 4
[4,-,5,3,6,1] => [3,1,4,2,5,6] => 8
[4,+,5,6,1,3] => [2,1,3,4,5,6] => 2
[4,-,5,6,1,3] => [1,3,4,2,5,6] => 4
[4,+,5,6,3,1] => [2,3,1,4,5,6] => 4
[4,-,5,6,3,1] => [3,1,4,2,5,6] => 8
[4,+,6,1,3,5] => [2,1,3,5,4,6] => 4
[4,-,6,1,3,5] => [1,3,5,4,2,6] => 12
[4,+,6,1,+,3] => [2,1,5,3,4,6] => 8
[4,-,6,1,+,3] => [1,5,3,4,2,6] => 18
[4,+,6,1,-,3] => [2,1,3,4,6,5] => 4
[4,-,6,1,-,3] => [1,3,4,2,6,5] => 8
[4,+,6,3,1,5] => [2,3,1,5,4,6] => 8
[4,-,6,3,1,5] => [3,1,5,4,2,6] => 24
[4,+,6,3,+,1] => [2,3,5,1,4,6] => 16
[4,-,6,3,+,1] => [3,5,1,4,2,6] => 42
[4,+,6,3,-,1] => [2,3,1,4,6,5] => 8
[4,-,6,3,-,1] => [3,1,4,2,6,5] => 16
[4,+,6,5,1,3] => [2,1,3,4,6,5] => 4
[4,-,6,5,1,3] => [1,3,4,2,6,5] => 8
[4,+,6,5,3,1] => [2,3,1,4,6,5] => 8
[4,-,6,5,3,1] => [3,1,4,2,6,5] => 16
[4,3,1,2,+,+] => [1,2,5,6,4,3] => 18
[4,3,1,2,-,+] => [1,2,6,4,3,5] => 12
[4,3,1,2,+,-] => [1,2,5,4,3,6] => 6
[4,3,1,2,-,-] => [1,2,4,3,5,6] => 2
[4,3,1,2,6,5] => [1,2,5,4,3,6] => 6
[4,3,1,5,2,+] => [1,2,6,4,3,5] => 12
[4,3,1,5,2,-] => [1,2,4,3,5,6] => 2
[4,3,1,5,6,2] => [1,2,4,3,5,6] => 2
[4,3,1,6,2,5] => [1,2,5,4,3,6] => 6
[4,3,1,6,+,2] => [1,5,2,4,3,6] => 12
[4,3,1,6,-,2] => [1,2,4,3,6,5] => 4
[4,3,2,1,+,+] => [2,1,5,6,4,3] => 36
[4,3,2,1,-,+] => [2,1,6,4,3,5] => 24
[4,3,2,1,+,-] => [2,1,5,4,3,6] => 12
[4,3,2,1,-,-] => [2,1,4,3,5,6] => 4
[4,3,2,1,6,5] => [2,1,5,4,3,6] => 12
[4,3,2,5,1,+] => [2,1,6,4,3,5] => 24
[4,3,2,5,1,-] => [2,1,4,3,5,6] => 4
[4,3,2,5,6,1] => [2,1,4,3,5,6] => 4
[4,3,2,6,1,5] => [2,1,5,4,3,6] => 12
[4,3,2,6,+,1] => [2,5,1,4,3,6] => 24
[4,3,2,6,-,1] => [2,1,4,3,6,5] => 8
[4,3,5,1,2,+] => [1,2,6,4,3,5] => 12
[4,3,5,1,2,-] => [1,2,4,3,5,6] => 2
[4,3,5,1,6,2] => [1,2,4,3,5,6] => 2
[4,3,5,2,1,+] => [2,1,6,4,3,5] => 24
[4,3,5,2,1,-] => [2,1,4,3,5,6] => 4
[4,3,5,2,6,1] => [2,1,4,3,5,6] => 4
[4,3,5,6,1,2] => [1,2,4,3,5,6] => 2
[4,3,5,6,2,1] => [2,1,4,3,5,6] => 4
[4,3,6,1,2,5] => [1,2,5,4,3,6] => 6
[4,3,6,1,+,2] => [1,5,2,4,3,6] => 12
[4,3,6,1,-,2] => [1,2,4,3,6,5] => 4
[4,3,6,2,1,5] => [2,1,5,4,3,6] => 12
[4,3,6,2,+,1] => [2,5,1,4,3,6] => 24
[4,3,6,2,-,1] => [2,1,4,3,6,5] => 8
[4,3,6,5,1,2] => [1,2,4,3,6,5] => 4
[4,3,6,5,2,1] => [2,1,4,3,6,5] => 8
[4,5,1,2,3,+] => [1,2,3,6,4,5] => 4
[4,5,1,2,3,-] => [1,2,3,4,5,6] => 1
[4,5,1,2,6,3] => [1,2,3,4,5,6] => 1
[4,5,1,3,2,+] => [1,3,2,6,4,5] => 8
[4,5,1,3,2,-] => [1,3,2,4,5,6] => 2
[4,5,1,3,6,2] => [1,3,2,4,5,6] => 2
[4,5,1,6,2,3] => [1,2,3,4,5,6] => 1
[4,5,1,6,3,2] => [1,3,2,4,5,6] => 2
[4,5,2,1,3,+] => [2,1,3,6,4,5] => 8
[4,5,2,1,3,-] => [2,1,3,4,5,6] => 2
[4,5,2,1,6,3] => [2,1,3,4,5,6] => 2
[4,5,2,3,1,+] => [2,3,1,6,4,5] => 16
[4,5,2,3,1,-] => [2,3,1,4,5,6] => 4
[4,5,2,3,6,1] => [2,3,1,4,5,6] => 4
[4,5,2,6,1,3] => [2,1,3,4,5,6] => 2
[4,5,2,6,3,1] => [2,3,1,4,5,6] => 4
[4,5,+,1,2,+] => [3,1,2,6,4,5] => 16
[4,5,-,1,2,+] => [1,2,6,4,5,3] => 18
[4,5,+,1,2,-] => [3,1,2,4,5,6] => 4
[4,5,-,1,2,-] => [1,2,4,5,3,6] => 4
[4,5,+,1,6,2] => [3,1,2,4,5,6] => 4
[4,5,-,1,6,2] => [1,2,4,5,3,6] => 4
[4,5,+,2,1,+] => [3,2,1,6,4,5] => 24
[4,5,-,2,1,+] => [2,1,6,4,5,3] => 36
[4,5,+,2,1,-] => [3,2,1,4,5,6] => 6
[4,5,-,2,1,-] => [2,1,4,5,3,6] => 8
[4,5,+,2,6,1] => [3,2,1,4,5,6] => 6
[4,5,-,2,6,1] => [2,1,4,5,3,6] => 8
[4,5,+,6,1,2] => [3,1,2,4,5,6] => 4
[4,5,-,6,1,2] => [1,2,4,5,3,6] => 4
[4,5,+,6,2,1] => [3,2,1,4,5,6] => 6
[4,5,-,6,2,1] => [2,1,4,5,3,6] => 8
[4,5,6,1,2,3] => [1,2,3,4,5,6] => 1
[4,5,6,1,3,2] => [1,3,2,4,5,6] => 2
[4,5,6,2,1,3] => [2,1,3,4,5,6] => 2
[4,5,6,2,3,1] => [2,3,1,4,5,6] => 4
[4,5,6,3,1,2] => [3,1,2,4,5,6] => 4
[4,5,6,3,2,1] => [3,2,1,4,5,6] => 6
[4,6,1,2,3,5] => [1,2,3,5,4,6] => 2
[4,6,1,2,+,3] => [1,2,5,3,4,6] => 4
[4,6,1,2,-,3] => [1,2,3,4,6,5] => 2
[4,6,1,3,2,5] => [1,3,2,5,4,6] => 4
[4,6,1,3,+,2] => [1,3,5,2,4,6] => 8
[4,6,1,3,-,2] => [1,3,2,4,6,5] => 4
[4,6,1,5,2,3] => [1,2,3,4,6,5] => 2
[4,6,1,5,3,2] => [1,3,2,4,6,5] => 4
[4,6,2,1,3,5] => [2,1,3,5,4,6] => 4
[4,6,2,1,+,3] => [2,1,5,3,4,6] => 8
[4,6,2,1,-,3] => [2,1,3,4,6,5] => 4
[4,6,2,3,1,5] => [2,3,1,5,4,6] => 8
[4,6,2,3,+,1] => [2,3,5,1,4,6] => 16
[4,6,2,3,-,1] => [2,3,1,4,6,5] => 8
[4,6,2,5,1,3] => [2,1,3,4,6,5] => 4
[4,6,2,5,3,1] => [2,3,1,4,6,5] => 8
[4,6,+,1,2,5] => [3,1,2,5,4,6] => 8
[4,6,-,1,2,5] => [1,2,5,4,6,3] => 12
[4,6,+,1,+,2] => [3,1,5,2,4,6] => 16
[4,6,-,1,+,2] => [1,5,2,4,6,3] => 24
[4,6,+,1,-,2] => [3,1,2,4,6,5] => 8
[4,6,-,1,-,2] => [1,2,4,6,3,5] => 8
[4,6,+,2,1,5] => [3,2,1,5,4,6] => 12
[4,6,-,2,1,5] => [2,1,5,4,6,3] => 24
[4,6,+,2,+,1] => [3,2,5,1,4,6] => 24
[4,6,-,2,+,1] => [2,5,1,4,6,3] => 48
[4,6,+,2,-,1] => [3,2,1,4,6,5] => 12
[4,6,-,2,-,1] => [2,1,4,6,3,5] => 16
[4,6,+,5,1,2] => [3,1,2,4,6,5] => 8
[4,6,-,5,1,2] => [1,2,4,6,3,5] => 8
[4,6,+,5,2,1] => [3,2,1,4,6,5] => 12
[4,6,-,5,2,1] => [2,1,4,6,3,5] => 16
[4,6,5,1,2,3] => [1,2,3,4,6,5] => 2
[4,6,5,1,3,2] => [1,3,2,4,6,5] => 4
[4,6,5,2,1,3] => [2,1,3,4,6,5] => 4
[4,6,5,2,3,1] => [2,3,1,4,6,5] => 8
[4,6,5,3,1,2] => [3,1,2,4,6,5] => 8
[4,6,5,3,2,1] => [3,2,1,4,6,5] => 12
[5,1,2,3,4,+] => [1,2,3,4,6,5] => 2
[5,1,2,3,4,-] => [1,2,3,4,5,6] => 1
[5,1,2,3,6,4] => [1,2,3,4,5,6] => 1
[5,1,2,+,3,+] => [1,2,4,3,6,5] => 4
[5,1,2,-,3,+] => [1,2,3,6,5,4] => 6
[5,1,2,+,3,-] => [1,2,4,3,5,6] => 2
[5,1,2,-,3,-] => [1,2,3,5,4,6] => 2
[5,1,2,+,6,3] => [1,2,4,3,5,6] => 2
[5,1,2,-,6,3] => [1,2,3,5,4,6] => 2
[5,1,2,6,3,4] => [1,2,3,4,5,6] => 1
[5,1,2,6,4,3] => [1,2,4,3,5,6] => 2
[5,1,+,2,4,+] => [1,3,2,4,6,5] => 4
[5,1,-,2,4,+] => [1,2,4,6,5,3] => 12
[5,1,+,2,4,-] => [1,3,2,4,5,6] => 2
[5,1,-,2,4,-] => [1,2,4,5,3,6] => 4
[5,1,+,2,6,4] => [1,3,2,4,5,6] => 2
[5,1,-,2,6,4] => [1,2,4,5,3,6] => 4
[5,1,+,+,2,+] => [1,3,4,2,6,5] => 8
[5,1,-,+,2,+] => [1,4,2,6,5,3] => 24
[5,1,+,-,2,+] => [1,3,2,6,5,4] => 12
[5,1,+,+,2,-] => [1,3,4,2,5,6] => 4
[5,1,-,-,2,+] => [1,2,6,5,3,4] => 18
[5,1,-,+,2,-] => [1,4,2,5,3,6] => 8
[5,1,+,-,2,-] => [1,3,2,5,4,6] => 4
[5,1,-,-,2,-] => [1,2,5,3,4,6] => 4
[5,1,+,+,6,2] => [1,3,4,2,5,6] => 4
[5,1,-,+,6,2] => [1,4,2,5,3,6] => 8
[5,1,+,-,6,2] => [1,3,2,5,4,6] => 4
[5,1,-,-,6,2] => [1,2,5,3,4,6] => 4
[5,1,+,6,2,4] => [1,3,2,4,5,6] => 2
[5,1,-,6,2,4] => [1,2,4,5,3,6] => 4
[5,1,+,6,4,2] => [1,3,4,2,5,6] => 4
[5,1,-,6,4,2] => [1,4,2,5,3,6] => 8
[5,1,4,2,3,+] => [1,2,3,6,5,4] => 6
[5,1,4,2,3,-] => [1,2,3,5,4,6] => 2
[5,1,4,2,6,3] => [1,2,3,5,4,6] => 2
[5,1,4,3,2,+] => [1,3,2,6,5,4] => 12
[5,1,4,3,2,-] => [1,3,2,5,4,6] => 4
[5,1,4,3,6,2] => [1,3,2,5,4,6] => 4
[5,1,4,6,2,3] => [1,2,3,5,4,6] => 2
[5,1,4,6,3,2] => [1,3,2,5,4,6] => 4
[5,1,6,2,3,4] => [1,2,3,4,5,6] => 1
[5,1,6,2,4,3] => [1,2,4,3,5,6] => 2
[5,1,6,3,2,4] => [1,3,2,4,5,6] => 2
[5,1,6,3,4,2] => [1,3,4,2,5,6] => 4
[5,1,6,+,2,3] => [1,4,2,3,5,6] => 4
[5,1,6,-,2,3] => [1,2,3,5,6,4] => 4
[5,1,6,+,3,2] => [1,4,3,2,5,6] => 6
[5,1,6,-,3,2] => [1,3,2,5,6,4] => 8
[5,+,1,3,4,+] => [2,1,3,4,6,5] => 4
[5,-,1,3,4,+] => [1,3,4,6,5,2] => 24
[5,+,1,3,4,-] => [2,1,3,4,5,6] => 2
[5,-,1,3,4,-] => [1,3,4,5,2,6] => 8
[5,+,1,3,6,4] => [2,1,3,4,5,6] => 2
[5,-,1,3,6,4] => [1,3,4,5,2,6] => 8
[5,+,1,+,3,+] => [2,1,4,3,6,5] => 8
[5,-,1,+,3,+] => [1,4,3,6,5,2] => 36
[5,+,1,-,3,+] => [2,1,3,6,5,4] => 12
[5,+,1,+,3,-] => [2,1,4,3,5,6] => 4
[5,-,1,-,3,+] => [1,3,6,5,2,4] => 36
[5,-,1,+,3,-] => [1,4,3,5,2,6] => 12
[5,+,1,-,3,-] => [2,1,3,5,4,6] => 4
[5,-,1,-,3,-] => [1,3,5,2,4,6] => 8
[5,+,1,+,6,3] => [2,1,4,3,5,6] => 4
[5,-,1,+,6,3] => [1,4,3,5,2,6] => 12
[5,+,1,-,6,3] => [2,1,3,5,4,6] => 4
[5,-,1,-,6,3] => [1,3,5,2,4,6] => 8
[5,+,1,6,3,4] => [2,1,3,4,5,6] => 2
[5,-,1,6,3,4] => [1,3,4,5,2,6] => 8
[5,+,1,6,4,3] => [2,1,4,3,5,6] => 4
[5,-,1,6,4,3] => [1,4,3,5,2,6] => 12
[5,+,+,1,4,+] => [2,3,1,4,6,5] => 8
[5,-,+,1,4,+] => [3,1,4,6,5,2] => 48
[5,+,-,1,4,+] => [2,1,4,6,5,3] => 24
[5,+,+,1,4,-] => [2,3,1,4,5,6] => 4
[5,-,-,1,4,+] => [1,4,6,5,2,3] => 60
[5,-,+,1,4,-] => [3,1,4,5,2,6] => 16
[5,+,-,1,4,-] => [2,1,4,5,3,6] => 8
[5,-,-,1,4,-] => [1,4,5,2,3,6] => 14
[5,+,+,1,6,4] => [2,3,1,4,5,6] => 4
[5,-,+,1,6,4] => [3,1,4,5,2,6] => 16
[5,+,-,1,6,4] => [2,1,4,5,3,6] => 8
[5,-,-,1,6,4] => [1,4,5,2,3,6] => 14
[5,+,+,+,1,+] => [2,3,4,1,6,5] => 16
[5,-,+,+,1,+] => [3,4,1,6,5,2] => 84
[5,+,-,+,1,+] => [2,4,1,6,5,3] => 48
[5,+,+,-,1,+] => [2,3,1,6,5,4] => 24
[5,+,+,+,1,-] => [2,3,4,1,5,6] => 8
[5,-,-,+,1,+] => [4,1,6,5,2,3] => 120
[5,-,+,-,1,+] => [3,1,6,5,2,4] => 72
[5,-,+,+,1,-] => [3,4,1,5,2,6] => 28
[5,+,-,-,1,+] => [2,1,6,5,3,4] => 36
[5,+,-,+,1,-] => [2,4,1,5,3,6] => 16
[5,+,+,-,1,-] => [2,3,1,5,4,6] => 8
[5,-,-,-,1,+] => [1,6,5,2,3,4] => 54
[5,-,-,+,1,-] => [4,1,5,2,3,6] => 28
[5,-,+,-,1,-] => [3,1,5,2,4,6] => 16
[5,+,-,-,1,-] => [2,1,5,3,4,6] => 8
[5,-,-,-,1,-] => [1,5,2,3,4,6] => 8
[5,+,+,+,6,1] => [2,3,4,1,5,6] => 8
[5,-,+,+,6,1] => [3,4,1,5,2,6] => 28
[5,+,-,+,6,1] => [2,4,1,5,3,6] => 16
[5,+,+,-,6,1] => [2,3,1,5,4,6] => 8
[5,-,-,+,6,1] => [4,1,5,2,3,6] => 28
[5,-,+,-,6,1] => [3,1,5,2,4,6] => 16
[5,+,-,-,6,1] => [2,1,5,3,4,6] => 8
[5,-,-,-,6,1] => [1,5,2,3,4,6] => 8
[5,+,+,6,1,4] => [2,3,1,4,5,6] => 4
[5,-,+,6,1,4] => [3,1,4,5,2,6] => 16
[5,+,-,6,1,4] => [2,1,4,5,3,6] => 8
[5,-,-,6,1,4] => [1,4,5,2,3,6] => 14
[5,+,+,6,4,1] => [2,3,4,1,5,6] => 8
[5,-,+,6,4,1] => [3,4,1,5,2,6] => 28
[5,+,-,6,4,1] => [2,4,1,5,3,6] => 16
[5,-,-,6,4,1] => [4,1,5,2,3,6] => 28
[5,+,4,1,3,+] => [2,1,3,6,5,4] => 12
[5,-,4,1,3,+] => [1,3,6,5,2,4] => 36
[5,+,4,1,3,-] => [2,1,3,5,4,6] => 4
[5,-,4,1,3,-] => [1,3,5,2,4,6] => 8
[5,+,4,1,6,3] => [2,1,3,5,4,6] => 4
[5,-,4,1,6,3] => [1,3,5,2,4,6] => 8
[5,+,4,3,1,+] => [2,3,1,6,5,4] => 24
[5,-,4,3,1,+] => [3,1,6,5,2,4] => 72
[5,+,4,3,1,-] => [2,3,1,5,4,6] => 8
[5,-,4,3,1,-] => [3,1,5,2,4,6] => 16
[5,+,4,3,6,1] => [2,3,1,5,4,6] => 8
[5,-,4,3,6,1] => [3,1,5,2,4,6] => 16
[5,+,4,6,1,3] => [2,1,3,5,4,6] => 4
[5,-,4,6,1,3] => [1,3,5,2,4,6] => 8
[5,+,4,6,3,1] => [2,3,1,5,4,6] => 8
[5,-,4,6,3,1] => [3,1,5,2,4,6] => 16
[5,+,6,1,3,4] => [2,1,3,4,5,6] => 2
[5,-,6,1,3,4] => [1,3,4,5,2,6] => 8
[5,+,6,1,4,3] => [2,1,4,3,5,6] => 4
[5,-,6,1,4,3] => [1,4,3,5,2,6] => 12
[5,+,6,3,1,4] => [2,3,1,4,5,6] => 4
[5,-,6,3,1,4] => [3,1,4,5,2,6] => 16
[5,+,6,3,4,1] => [2,3,4,1,5,6] => 8
[5,-,6,3,4,1] => [3,4,1,5,2,6] => 28
[5,+,6,+,1,3] => [2,4,1,3,5,6] => 8
[5,-,6,+,1,3] => [4,1,3,5,2,6] => 24
[5,+,6,-,1,3] => [2,1,3,5,6,4] => 8
[5,-,6,-,1,3] => [1,3,5,2,6,4] => 16
[5,+,6,+,3,1] => [2,4,3,1,5,6] => 12
[5,-,6,+,3,1] => [4,3,1,5,2,6] => 36
[5,+,6,-,3,1] => [2,3,1,5,6,4] => 16
[5,-,6,-,3,1] => [3,1,5,2,6,4] => 32
[5,3,1,2,4,+] => [1,2,4,6,5,3] => 12
[5,3,1,2,4,-] => [1,2,4,5,3,6] => 4
[5,3,1,2,6,4] => [1,2,4,5,3,6] => 4
[5,3,1,+,2,+] => [1,4,2,6,5,3] => 24
[5,3,1,-,2,+] => [1,2,6,5,3,4] => 18
[5,3,1,+,2,-] => [1,4,2,5,3,6] => 8
[5,3,1,-,2,-] => [1,2,5,3,4,6] => 4
[5,3,1,+,6,2] => [1,4,2,5,3,6] => 8
[5,3,1,-,6,2] => [1,2,5,3,4,6] => 4
[5,3,1,6,2,4] => [1,2,4,5,3,6] => 4
[5,3,1,6,4,2] => [1,4,2,5,3,6] => 8
[5,3,2,1,4,+] => [2,1,4,6,5,3] => 24
[5,3,2,1,4,-] => [2,1,4,5,3,6] => 8
[5,3,2,1,6,4] => [2,1,4,5,3,6] => 8
[5,3,2,+,1,+] => [2,4,1,6,5,3] => 48
[5,3,2,-,1,+] => [2,1,6,5,3,4] => 36
[5,3,2,+,1,-] => [2,4,1,5,3,6] => 16
[5,3,2,-,1,-] => [2,1,5,3,4,6] => 8
[5,3,2,+,6,1] => [2,4,1,5,3,6] => 16
[5,3,2,-,6,1] => [2,1,5,3,4,6] => 8
[5,3,2,6,1,4] => [2,1,4,5,3,6] => 8
[5,3,2,6,4,1] => [2,4,1,5,3,6] => 16
[5,3,4,1,2,+] => [1,2,6,5,3,4] => 18
[5,3,4,1,2,-] => [1,2,5,3,4,6] => 4
[5,3,4,1,6,2] => [1,2,5,3,4,6] => 4
[5,3,4,2,1,+] => [2,1,6,5,3,4] => 36
[5,3,4,2,1,-] => [2,1,5,3,4,6] => 8
[5,3,4,2,6,1] => [2,1,5,3,4,6] => 8
[5,3,4,6,1,2] => [1,2,5,3,4,6] => 4
[5,3,4,6,2,1] => [2,1,5,3,4,6] => 8
[5,3,6,1,2,4] => [1,2,4,5,3,6] => 4
[5,3,6,1,4,2] => [1,4,2,5,3,6] => 8
[5,3,6,2,1,4] => [2,1,4,5,3,6] => 8
[5,3,6,2,4,1] => [2,4,1,5,3,6] => 16
[5,3,6,+,1,2] => [4,1,2,5,3,6] => 16
[5,3,6,-,1,2] => [1,2,5,3,6,4] => 8
[5,3,6,+,2,1] => [4,2,1,5,3,6] => 24
[5,3,6,-,2,1] => [2,1,5,3,6,4] => 16
[5,4,1,2,3,+] => [1,2,3,6,5,4] => 6
[5,4,1,2,3,-] => [1,2,3,5,4,6] => 2
[5,4,1,2,6,3] => [1,2,3,5,4,6] => 2
[5,4,1,3,2,+] => [1,3,2,6,5,4] => 12
[5,4,1,3,2,-] => [1,3,2,5,4,6] => 4
[5,4,1,3,6,2] => [1,3,2,5,4,6] => 4
[5,4,1,6,2,3] => [1,2,3,5,4,6] => 2
[5,4,1,6,3,2] => [1,3,2,5,4,6] => 4
[5,4,2,1,3,+] => [2,1,3,6,5,4] => 12
[5,4,2,1,3,-] => [2,1,3,5,4,6] => 4
[5,4,2,1,6,3] => [2,1,3,5,4,6] => 4
[5,4,2,3,1,+] => [2,3,1,6,5,4] => 24
[5,4,2,3,1,-] => [2,3,1,5,4,6] => 8
[5,4,2,3,6,1] => [2,3,1,5,4,6] => 8
[5,4,2,6,1,3] => [2,1,3,5,4,6] => 4
[5,4,2,6,3,1] => [2,3,1,5,4,6] => 8
[5,4,+,1,2,+] => [3,1,2,6,5,4] => 24
[5,4,-,1,2,+] => [1,2,6,5,4,3] => 24
[5,4,+,1,2,-] => [3,1,2,5,4,6] => 8
[5,4,-,1,2,-] => [1,2,5,4,3,6] => 6
[5,4,+,1,6,2] => [3,1,2,5,4,6] => 8
[5,4,-,1,6,2] => [1,2,5,4,3,6] => 6
[5,4,+,2,1,+] => [3,2,1,6,5,4] => 36
[5,4,-,2,1,+] => [2,1,6,5,4,3] => 48
[5,4,+,2,1,-] => [3,2,1,5,4,6] => 12
[5,4,-,2,1,-] => [2,1,5,4,3,6] => 12
[5,4,+,2,6,1] => [3,2,1,5,4,6] => 12
[5,4,-,2,6,1] => [2,1,5,4,3,6] => 12
[5,4,+,6,1,2] => [3,1,2,5,4,6] => 8
[5,4,-,6,1,2] => [1,2,5,4,3,6] => 6
[5,4,+,6,2,1] => [3,2,1,5,4,6] => 12
[5,4,-,6,2,1] => [2,1,5,4,3,6] => 12
[5,4,6,1,2,3] => [1,2,3,5,4,6] => 2
[5,4,6,1,3,2] => [1,3,2,5,4,6] => 4
[5,4,6,2,1,3] => [2,1,3,5,4,6] => 4
[5,4,6,2,3,1] => [2,3,1,5,4,6] => 8
[5,4,6,3,1,2] => [3,1,2,5,4,6] => 8
[5,4,6,3,2,1] => [3,2,1,5,4,6] => 12
[5,6,1,2,3,4] => [1,2,3,4,5,6] => 1
[5,6,1,2,4,3] => [1,2,4,3,5,6] => 2
[5,6,1,3,2,4] => [1,3,2,4,5,6] => 2
[5,6,1,3,4,2] => [1,3,4,2,5,6] => 4
[5,6,1,+,2,3] => [1,4,2,3,5,6] => 4
[5,6,1,-,2,3] => [1,2,3,5,6,4] => 4
[5,6,1,+,3,2] => [1,4,3,2,5,6] => 6
[5,6,1,-,3,2] => [1,3,2,5,6,4] => 8
[5,6,2,1,3,4] => [2,1,3,4,5,6] => 2
[5,6,2,1,4,3] => [2,1,4,3,5,6] => 4
[5,6,2,3,1,4] => [2,3,1,4,5,6] => 4
[5,6,2,3,4,1] => [2,3,4,1,5,6] => 8
[5,6,2,+,1,3] => [2,4,1,3,5,6] => 8
[5,6,2,-,1,3] => [2,1,3,5,6,4] => 8
[5,6,2,+,3,1] => [2,4,3,1,5,6] => 12
[5,6,2,-,3,1] => [2,3,1,5,6,4] => 16
[5,6,+,1,2,4] => [3,1,2,4,5,6] => 4
[5,6,-,1,2,4] => [1,2,4,5,6,3] => 8
[5,6,+,1,4,2] => [3,1,4,2,5,6] => 8
[5,6,-,1,4,2] => [1,4,2,5,6,3] => 16
[5,6,+,2,1,4] => [3,2,1,4,5,6] => 6
[5,6,-,2,1,4] => [2,1,4,5,6,3] => 16
[5,6,+,2,4,1] => [3,2,4,1,5,6] => 12
[5,6,-,2,4,1] => [2,4,1,5,6,3] => 32
[5,6,+,+,1,2] => [3,4,1,2,5,6] => 14
[5,6,-,+,1,2] => [4,1,2,5,6,3] => 32
[5,6,+,-,1,2] => [3,1,2,5,6,4] => 16
[5,6,-,-,1,2] => [1,2,5,6,3,4] => 14
[5,6,+,+,2,1] => [3,4,2,1,5,6] => 18
[5,6,-,+,2,1] => [4,2,1,5,6,3] => 48
[5,6,+,-,2,1] => [3,2,1,5,6,4] => 24
[5,6,-,-,2,1] => [2,1,5,6,3,4] => 28
[5,6,4,1,2,3] => [1,2,3,5,6,4] => 4
[5,6,4,1,3,2] => [1,3,2,5,6,4] => 8
[5,6,4,2,1,3] => [2,1,3,5,6,4] => 8
[5,6,4,2,3,1] => [2,3,1,5,6,4] => 16
[5,6,4,3,1,2] => [3,1,2,5,6,4] => 16
[5,6,4,3,2,1] => [3,2,1,5,6,4] => 24
[6,1,2,3,4,5] => [1,2,3,4,5,6] => 1
[6,1,2,3,+,4] => [1,2,3,5,4,6] => 2
[6,1,2,3,-,4] => [1,2,3,4,6,5] => 2
[6,1,2,+,3,5] => [1,2,4,3,5,6] => 2
[6,1,2,-,3,5] => [1,2,3,5,6,4] => 4
[6,1,2,+,+,3] => [1,2,4,5,3,6] => 4
[6,1,2,-,+,3] => [1,2,5,3,6,4] => 8
[6,1,2,+,-,3] => [1,2,4,3,6,5] => 4
[6,1,2,-,-,3] => [1,2,3,6,4,5] => 4
[6,1,2,5,3,4] => [1,2,3,4,6,5] => 2
[6,1,2,5,4,3] => [1,2,4,3,6,5] => 4
[6,1,+,2,4,5] => [1,3,2,4,5,6] => 2
[6,1,-,2,4,5] => [1,2,4,5,6,3] => 8
[6,1,+,2,+,4] => [1,3,2,5,4,6] => 4
[6,1,-,2,+,4] => [1,2,5,4,6,3] => 12
[6,1,+,2,-,4] => [1,3,2,4,6,5] => 4
[6,1,-,2,-,4] => [1,2,4,6,3,5] => 8
[6,1,+,+,2,5] => [1,3,4,2,5,6] => 4
[6,1,-,+,2,5] => [1,4,2,5,6,3] => 16
[6,1,+,-,2,5] => [1,3,2,5,6,4] => 8
[6,1,-,-,2,5] => [1,2,5,6,3,4] => 14
[6,1,+,+,+,2] => [1,3,4,5,2,6] => 8
[6,1,-,+,+,2] => [1,4,5,2,6,3] => 28
[6,1,+,-,+,2] => [1,3,5,2,6,4] => 16
[6,1,+,+,-,2] => [1,3,4,2,6,5] => 8
[6,1,-,-,+,2] => [1,5,2,6,3,4] => 28
[6,1,-,+,-,2] => [1,4,2,6,3,5] => 16
[6,1,+,-,-,2] => [1,3,2,6,4,5] => 8
[6,1,-,-,-,2] => [1,2,6,3,4,5] => 8
[6,1,+,5,2,4] => [1,3,2,4,6,5] => 4
[6,1,-,5,2,4] => [1,2,4,6,3,5] => 8
[6,1,+,5,4,2] => [1,3,4,2,6,5] => 8
[6,1,-,5,4,2] => [1,4,2,6,3,5] => 16
[6,1,4,2,3,5] => [1,2,3,5,6,4] => 4
[6,1,4,2,+,3] => [1,2,5,3,6,4] => 8
[6,1,4,2,-,3] => [1,2,3,6,4,5] => 4
[6,1,4,3,2,5] => [1,3,2,5,6,4] => 8
[6,1,4,3,+,2] => [1,3,5,2,6,4] => 16
[6,1,4,3,-,2] => [1,3,2,6,4,5] => 8
[6,1,4,5,2,3] => [1,2,3,6,4,5] => 4
[6,1,4,5,3,2] => [1,3,2,6,4,5] => 8
[6,1,5,2,3,4] => [1,2,3,4,6,5] => 2
[6,1,5,2,4,3] => [1,2,4,3,6,5] => 4
[6,1,5,3,2,4] => [1,3,2,4,6,5] => 4
[6,1,5,3,4,2] => [1,3,4,2,6,5] => 8
[6,1,5,+,2,3] => [1,4,2,3,6,5] => 8
[6,1,5,-,2,3] => [1,2,3,6,5,4] => 6
[6,1,5,+,3,2] => [1,4,3,2,6,5] => 12
[6,1,5,-,3,2] => [1,3,2,6,5,4] => 12
[6,+,1,3,4,5] => [2,1,3,4,5,6] => 2
[6,-,1,3,4,5] => [1,3,4,5,6,2] => 16
[6,+,1,3,+,4] => [2,1,3,5,4,6] => 4
[6,-,1,3,+,4] => [1,3,5,4,6,2] => 24
[6,+,1,3,-,4] => [2,1,3,4,6,5] => 4
[6,-,1,3,-,4] => [1,3,4,6,2,5] => 16
[6,+,1,+,3,5] => [2,1,4,3,5,6] => 4
[6,-,1,+,3,5] => [1,4,3,5,6,2] => 24
[6,+,1,-,3,5] => [2,1,3,5,6,4] => 8
[6,-,1,-,3,5] => [1,3,5,6,2,4] => 28
[6,+,1,+,+,3] => [2,1,4,5,3,6] => 8
[6,-,1,+,+,3] => [1,4,5,3,6,2] => 36
[6,+,1,-,+,3] => [2,1,5,3,6,4] => 16
[6,+,1,+,-,3] => [2,1,4,3,6,5] => 8
[6,-,1,-,+,3] => [1,5,3,6,2,4] => 42
[6,-,1,+,-,3] => [1,4,3,6,2,5] => 24
[6,+,1,-,-,3] => [2,1,3,6,4,5] => 8
[6,-,1,-,-,3] => [1,3,6,2,4,5] => 16
[6,+,1,5,3,4] => [2,1,3,4,6,5] => 4
[6,-,1,5,3,4] => [1,3,4,6,2,5] => 16
[6,+,1,5,4,3] => [2,1,4,3,6,5] => 8
[6,-,1,5,4,3] => [1,4,3,6,2,5] => 24
[6,+,+,1,4,5] => [2,3,1,4,5,6] => 4
[6,-,+,1,4,5] => [3,1,4,5,6,2] => 32
[6,+,-,1,4,5] => [2,1,4,5,6,3] => 16
[6,-,-,1,4,5] => [1,4,5,6,2,3] => 46
[6,+,+,1,+,4] => [2,3,1,5,4,6] => 8
[6,-,+,1,+,4] => [3,1,5,4,6,2] => 48
[6,+,-,1,+,4] => [2,1,5,4,6,3] => 24
[6,+,+,1,-,4] => [2,3,1,4,6,5] => 8
[6,-,-,1,+,4] => [1,5,4,6,2,3] => 60
[6,-,+,1,-,4] => [3,1,4,6,2,5] => 32
[6,+,-,1,-,4] => [2,1,4,6,3,5] => 16
[6,-,-,1,-,4] => [1,4,6,2,3,5] => 28
[6,+,+,+,1,5] => [2,3,4,1,5,6] => 8
[6,-,+,+,1,5] => [3,4,1,5,6,2] => 56
[6,+,-,+,1,5] => [2,4,1,5,6,3] => 32
[6,+,+,-,1,5] => [2,3,1,5,6,4] => 16
[6,-,-,+,1,5] => [4,1,5,6,2,3] => 92
[6,-,+,-,1,5] => [3,1,5,6,2,4] => 56
[6,+,-,-,1,5] => [2,1,5,6,3,4] => 28
[6,-,-,-,1,5] => [1,5,6,2,3,4] => 46
[6,+,+,+,+,1] => [2,3,4,5,1,6] => 16
[6,-,+,+,+,1] => [3,4,5,1,6,2] => 92
[6,+,-,+,+,1] => [2,4,5,1,6,3] => 56
[6,+,+,-,+,1] => [2,3,5,1,6,4] => 32
[6,+,+,+,-,1] => [2,3,4,1,6,5] => 16
[6,-,-,+,+,1] => [4,5,1,6,2,3] => 152
[6,-,+,-,+,1] => [3,5,1,6,2,4] => 98
[6,-,+,+,-,1] => [3,4,1,6,2,5] => 56
[6,+,-,-,+,1] => [2,5,1,6,3,4] => 56
[6,+,-,+,-,1] => [2,4,1,6,3,5] => 32
[6,+,+,-,-,1] => [2,3,1,6,4,5] => 16
[6,-,-,-,+,1] => [5,1,6,2,3,4] => 92
[6,-,-,+,-,1] => [4,1,6,2,3,5] => 56
[6,-,+,-,-,1] => [3,1,6,2,4,5] => 32
[6,+,-,-,-,1] => [2,1,6,3,4,5] => 16
[6,-,-,-,-,1] => [1,6,2,3,4,5] => 16
[6,+,+,5,1,4] => [2,3,1,4,6,5] => 8
[6,-,+,5,1,4] => [3,1,4,6,2,5] => 32
[6,+,-,5,1,4] => [2,1,4,6,3,5] => 16
[6,-,-,5,1,4] => [1,4,6,2,3,5] => 28
[6,+,+,5,4,1] => [2,3,4,1,6,5] => 16
[6,-,+,5,4,1] => [3,4,1,6,2,5] => 56
[6,+,-,5,4,1] => [2,4,1,6,3,5] => 32
[6,-,-,5,4,1] => [4,1,6,2,3,5] => 56
[6,+,4,1,3,5] => [2,1,3,5,6,4] => 8
[6,-,4,1,3,5] => [1,3,5,6,2,4] => 28
[6,+,4,1,+,3] => [2,1,5,3,6,4] => 16
[6,-,4,1,+,3] => [1,5,3,6,2,4] => 42
[6,+,4,1,-,3] => [2,1,3,6,4,5] => 8
[6,-,4,1,-,3] => [1,3,6,2,4,5] => 16
[6,+,4,3,1,5] => [2,3,1,5,6,4] => 16
[6,-,4,3,1,5] => [3,1,5,6,2,4] => 56
[6,+,4,3,+,1] => [2,3,5,1,6,4] => 32
[6,-,4,3,+,1] => [3,5,1,6,2,4] => 98
[6,+,4,3,-,1] => [2,3,1,6,4,5] => 16
[6,-,4,3,-,1] => [3,1,6,2,4,5] => 32
[6,+,4,5,1,3] => [2,1,3,6,4,5] => 8
[6,-,4,5,1,3] => [1,3,6,2,4,5] => 16
[6,+,4,5,3,1] => [2,3,1,6,4,5] => 16
[6,-,4,5,3,1] => [3,1,6,2,4,5] => 32
[6,+,5,1,3,4] => [2,1,3,4,6,5] => 4
[6,-,5,1,3,4] => [1,3,4,6,2,5] => 16
[6,+,5,1,4,3] => [2,1,4,3,6,5] => 8
[6,-,5,1,4,3] => [1,4,3,6,2,5] => 24
[6,+,5,3,1,4] => [2,3,1,4,6,5] => 8
[6,-,5,3,1,4] => [3,1,4,6,2,5] => 32
[6,+,5,3,4,1] => [2,3,4,1,6,5] => 16
[6,-,5,3,4,1] => [3,4,1,6,2,5] => 56
[6,+,5,+,1,3] => [2,4,1,3,6,5] => 16
[6,-,5,+,1,3] => [4,1,3,6,2,5] => 48
[6,+,5,-,1,3] => [2,1,3,6,5,4] => 12
[6,-,5,-,1,3] => [1,3,6,2,5,4] => 24
[6,+,5,+,3,1] => [2,4,3,1,6,5] => 24
[6,-,5,+,3,1] => [4,3,1,6,2,5] => 72
[6,+,5,-,3,1] => [2,3,1,6,5,4] => 24
[6,-,5,-,3,1] => [3,1,6,2,5,4] => 48
[6,3,1,2,4,5] => [1,2,4,5,6,3] => 8
[6,3,1,2,+,4] => [1,2,5,4,6,3] => 12
[6,3,1,2,-,4] => [1,2,4,6,3,5] => 8
[6,3,1,+,2,5] => [1,4,2,5,6,3] => 16
[6,3,1,-,2,5] => [1,2,5,6,3,4] => 14
[6,3,1,+,+,2] => [1,4,5,2,6,3] => 28
[6,3,1,-,+,2] => [1,5,2,6,3,4] => 28
[6,3,1,+,-,2] => [1,4,2,6,3,5] => 16
[6,3,1,-,-,2] => [1,2,6,3,4,5] => 8
[6,3,1,5,2,4] => [1,2,4,6,3,5] => 8
[6,3,1,5,4,2] => [1,4,2,6,3,5] => 16
[6,3,2,1,4,5] => [2,1,4,5,6,3] => 16
[6,3,2,1,+,4] => [2,1,5,4,6,3] => 24
[6,3,2,1,-,4] => [2,1,4,6,3,5] => 16
[6,3,2,+,1,5] => [2,4,1,5,6,3] => 32
[6,3,2,-,1,5] => [2,1,5,6,3,4] => 28
[6,3,2,+,+,1] => [2,4,5,1,6,3] => 56
[6,3,2,-,+,1] => [2,5,1,6,3,4] => 56
[6,3,2,+,-,1] => [2,4,1,6,3,5] => 32
[6,3,2,-,-,1] => [2,1,6,3,4,5] => 16
[6,3,2,5,1,4] => [2,1,4,6,3,5] => 16
[6,3,2,5,4,1] => [2,4,1,6,3,5] => 32
[6,3,4,1,2,5] => [1,2,5,6,3,4] => 14
[6,3,4,1,+,2] => [1,5,2,6,3,4] => 28
[6,3,4,1,-,2] => [1,2,6,3,4,5] => 8
[6,3,4,2,1,5] => [2,1,5,6,3,4] => 28
[6,3,4,2,+,1] => [2,5,1,6,3,4] => 56
[6,3,4,2,-,1] => [2,1,6,3,4,5] => 16
[6,3,4,5,1,2] => [1,2,6,3,4,5] => 8
[6,3,4,5,2,1] => [2,1,6,3,4,5] => 16
[6,3,5,1,2,4] => [1,2,4,6,3,5] => 8
[6,3,5,1,4,2] => [1,4,2,6,3,5] => 16
[6,3,5,2,1,4] => [2,1,4,6,3,5] => 16
[6,3,5,2,4,1] => [2,4,1,6,3,5] => 32
[6,3,5,+,1,2] => [4,1,2,6,3,5] => 32
[6,3,5,-,1,2] => [1,2,6,3,5,4] => 12
[6,3,5,+,2,1] => [4,2,1,6,3,5] => 48
[6,3,5,-,2,1] => [2,1,6,3,5,4] => 24
[6,4,1,2,3,5] => [1,2,3,5,6,4] => 4
[6,4,1,2,+,3] => [1,2,5,3,6,4] => 8
[6,4,1,2,-,3] => [1,2,3,6,4,5] => 4
[6,4,1,3,2,5] => [1,3,2,5,6,4] => 8
[6,4,1,3,+,2] => [1,3,5,2,6,4] => 16
[6,4,1,3,-,2] => [1,3,2,6,4,5] => 8
[6,4,1,5,2,3] => [1,2,3,6,4,5] => 4
[6,4,1,5,3,2] => [1,3,2,6,4,5] => 8
[6,4,2,1,3,5] => [2,1,3,5,6,4] => 8
[6,4,2,1,+,3] => [2,1,5,3,6,4] => 16
[6,4,2,1,-,3] => [2,1,3,6,4,5] => 8
[6,4,2,3,1,5] => [2,3,1,5,6,4] => 16
[6,4,2,3,+,1] => [2,3,5,1,6,4] => 32
[6,4,2,3,-,1] => [2,3,1,6,4,5] => 16
[6,4,2,5,1,3] => [2,1,3,6,4,5] => 8
[6,4,2,5,3,1] => [2,3,1,6,4,5] => 16
[6,4,+,1,2,5] => [3,1,2,5,6,4] => 16
[6,4,-,1,2,5] => [1,2,5,6,4,3] => 18
[6,4,+,1,+,2] => [3,1,5,2,6,4] => 32
[6,4,-,1,+,2] => [1,5,2,6,4,3] => 36
[6,4,+,1,-,2] => [3,1,2,6,4,5] => 16
[6,4,-,1,-,2] => [1,2,6,4,3,5] => 12
[6,4,+,2,1,5] => [3,2,1,5,6,4] => 24
[6,4,-,2,1,5] => [2,1,5,6,4,3] => 36
[6,4,+,2,+,1] => [3,2,5,1,6,4] => 48
[6,4,-,2,+,1] => [2,5,1,6,4,3] => 72
[6,4,+,2,-,1] => [3,2,1,6,4,5] => 24
[6,4,-,2,-,1] => [2,1,6,4,3,5] => 24
[6,4,+,5,1,2] => [3,1,2,6,4,5] => 16
[6,4,-,5,1,2] => [1,2,6,4,3,5] => 12
[6,4,+,5,2,1] => [3,2,1,6,4,5] => 24
[6,4,-,5,2,1] => [2,1,6,4,3,5] => 24
[6,4,5,1,2,3] => [1,2,3,6,4,5] => 4
[6,4,5,1,3,2] => [1,3,2,6,4,5] => 8
[6,4,5,2,1,3] => [2,1,3,6,4,5] => 8
[6,4,5,2,3,1] => [2,3,1,6,4,5] => 16
[6,4,5,3,1,2] => [3,1,2,6,4,5] => 16
[6,4,5,3,2,1] => [3,2,1,6,4,5] => 24
[6,5,1,2,3,4] => [1,2,3,4,6,5] => 2
[6,5,1,2,4,3] => [1,2,4,3,6,5] => 4
[6,5,1,3,2,4] => [1,3,2,4,6,5] => 4
[6,5,1,3,4,2] => [1,3,4,2,6,5] => 8
[6,5,1,+,2,3] => [1,4,2,3,6,5] => 8
[6,5,1,-,2,3] => [1,2,3,6,5,4] => 6
[6,5,1,+,3,2] => [1,4,3,2,6,5] => 12
[6,5,1,-,3,2] => [1,3,2,6,5,4] => 12
[6,5,2,1,3,4] => [2,1,3,4,6,5] => 4
[6,5,2,1,4,3] => [2,1,4,3,6,5] => 8
[6,5,2,3,1,4] => [2,3,1,4,6,5] => 8
[6,5,2,3,4,1] => [2,3,4,1,6,5] => 16
[6,5,2,+,1,3] => [2,4,1,3,6,5] => 16
[6,5,2,-,1,3] => [2,1,3,6,5,4] => 12
[6,5,2,+,3,1] => [2,4,3,1,6,5] => 24
[6,5,2,-,3,1] => [2,3,1,6,5,4] => 24
[6,5,+,1,2,4] => [3,1,2,4,6,5] => 8
[6,5,-,1,2,4] => [1,2,4,6,5,3] => 12
[6,5,+,1,4,2] => [3,1,4,2,6,5] => 16
[6,5,-,1,4,2] => [1,4,2,6,5,3] => 24
[6,5,+,2,1,4] => [3,2,1,4,6,5] => 12
[6,5,-,2,1,4] => [2,1,4,6,5,3] => 24
[6,5,+,2,4,1] => [3,2,4,1,6,5] => 24
[6,5,-,2,4,1] => [2,4,1,6,5,3] => 48
[6,5,+,+,1,2] => [3,4,1,2,6,5] => 28
[6,5,-,+,1,2] => [4,1,2,6,5,3] => 48
[6,5,+,-,1,2] => [3,1,2,6,5,4] => 24
[6,5,-,-,1,2] => [1,2,6,5,3,4] => 18
[6,5,+,+,2,1] => [3,4,2,1,6,5] => 36
[6,5,-,+,2,1] => [4,2,1,6,5,3] => 72
[6,5,+,-,2,1] => [3,2,1,6,5,4] => 36
[6,5,-,-,2,1] => [2,1,6,5,3,4] => 36
[6,5,4,1,2,3] => [1,2,3,6,5,4] => 6
[6,5,4,1,3,2] => [1,3,2,6,5,4] => 12
[6,5,4,2,1,3] => [2,1,3,6,5,4] => 12
[6,5,4,2,3,1] => [2,3,1,6,5,4] => 24
[6,5,4,3,1,2] => [3,1,2,6,5,4] => 24
[6,5,4,3,2,1] => [3,2,1,6,5,4] => 36
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Description
The number of regions of the inversion arrangement of a permutation.
The inversion arrangement $\mathcal{A}_w$ consists of the hyperplanes $x_i-x_j=0$ such that $(i,j)$ is an inversion of $w$.
Postnikov [4] conjectured that the number of regions in $\mathcal{A}_w$ equals the number of permutations in the interval $[id,w]$ in the strong Bruhat order if and only if $w$ avoids $4231$, $35142$, $42513$, $351624$. This conjecture was proved by Hultman-Linusson-Shareshian-Sjöstrand [1].
Oh-Postnikov-Yoo [3] showed that the number of regions of $\mathcal{A}_w$ is $|\chi_{G_w}(-1)|$ where $\chi_{G_w}$ is the chromatic polynomial of the inversion graph $G_w$. This is the graph with vertices ${1,2,\ldots,n}$ and edges $(i,j)$ for $i\lneq j$ $w_i\gneq w_j$.
For a permutation $w=w_1\cdots w_n$, Lewis-Morales [2] and Hultman (see appendix in [2]) showed that this number equals the number of placements of $n$ non-attacking rooks on the south-west Rothe diagram of $w$.
Map
lower permutation
Description
The lower bound in the Grassmann interval corresponding to the decorated permutation.
Let $I$ be the anti-exceedance set of a decorated permutation $w$. Let $v$ be the $k$-Grassmannian permutation determined by $v[k] = w^{-1}(I)$ and let $u$ be the permutation satisfying $u = wv$. Then $[u, v]$ is the Grassmann interval corresponding to $w$.
This map returns $u$.