Identifier
Values
[+,+] => [1,2] => 0
[-,+] => [2,1] => 1
[+,-] => [1,2] => 0
[-,-] => [1,2] => 0
[2,1] => [1,2] => 0
[+,+,+] => [1,2,3] => 0
[-,+,+] => [2,3,1] => 1
[+,-,+] => [1,3,2] => 1
[+,+,-] => [1,2,3] => 0
[-,-,+] => [3,1,2] => 1
[-,+,-] => [2,1,3] => 1
[+,-,-] => [1,2,3] => 0
[-,-,-] => [1,2,3] => 0
[+,3,2] => [1,2,3] => 0
[-,3,2] => [2,1,3] => 1
[2,1,+] => [1,3,2] => 1
[2,1,-] => [1,2,3] => 0
[2,3,1] => [1,2,3] => 0
[3,1,2] => [1,2,3] => 0
[3,+,1] => [2,1,3] => 1
[3,-,1] => [1,3,2] => 1
[+,+,+,+] => [1,2,3,4] => 0
[-,+,+,+] => [2,3,4,1] => 1
[+,-,+,+] => [1,3,4,2] => 2
[+,+,-,+] => [1,2,4,3] => 1
[+,+,+,-] => [1,2,3,4] => 0
[-,-,+,+] => [3,4,1,2] => 2
[-,+,-,+] => [2,4,1,3] => 2
[-,+,+,-] => [2,3,1,4] => 2
[+,-,-,+] => [1,4,2,3] => 2
[+,-,+,-] => [1,3,2,4] => 1
[+,+,-,-] => [1,2,3,4] => 0
[-,-,-,+] => [4,1,2,3] => 1
[-,-,+,-] => [3,1,2,4] => 2
[-,+,-,-] => [2,1,3,4] => 1
[+,-,-,-] => [1,2,3,4] => 0
[-,-,-,-] => [1,2,3,4] => 0
[+,+,4,3] => [1,2,3,4] => 0
[-,+,4,3] => [2,3,1,4] => 2
[+,-,4,3] => [1,3,2,4] => 1
[-,-,4,3] => [3,1,2,4] => 2
[+,3,2,+] => [1,2,4,3] => 1
[-,3,2,+] => [2,4,1,3] => 2
[+,3,2,-] => [1,2,3,4] => 0
[-,3,2,-] => [2,1,3,4] => 1
[+,3,4,2] => [1,2,3,4] => 0
[-,3,4,2] => [2,1,3,4] => 1
[+,4,2,3] => [1,2,3,4] => 0
[-,4,2,3] => [2,3,1,4] => 2
[+,4,+,2] => [1,3,2,4] => 1
[-,4,+,2] => [3,2,1,4] => 2
[+,4,-,2] => [1,2,4,3] => 1
[-,4,-,2] => [2,1,4,3] => 1
[2,1,+,+] => [1,3,4,2] => 2
[2,1,-,+] => [1,4,2,3] => 2
[2,1,+,-] => [1,3,2,4] => 1
[2,1,-,-] => [1,2,3,4] => 0
[2,1,4,3] => [1,3,2,4] => 1
[2,3,1,+] => [1,4,2,3] => 2
[2,3,1,-] => [1,2,3,4] => 0
[2,3,4,1] => [1,2,3,4] => 0
[2,4,1,3] => [1,3,2,4] => 1
[2,4,+,1] => [3,1,2,4] => 2
[2,4,-,1] => [1,2,4,3] => 1
[3,1,2,+] => [1,2,4,3] => 1
[3,1,2,-] => [1,2,3,4] => 0
[3,1,4,2] => [1,2,3,4] => 0
[3,+,1,+] => [2,1,4,3] => 1
[3,-,1,+] => [1,4,3,2] => 2
[3,+,1,-] => [2,1,3,4] => 1
[3,-,1,-] => [1,3,2,4] => 1
[3,+,4,1] => [2,1,3,4] => 1
[3,-,4,1] => [1,3,2,4] => 1
[3,4,1,2] => [1,2,3,4] => 0
[3,4,2,1] => [2,1,3,4] => 1
[4,1,2,3] => [1,2,3,4] => 0
[4,1,+,2] => [1,3,2,4] => 1
[4,1,-,2] => [1,2,4,3] => 1
[4,+,1,3] => [2,1,3,4] => 1
[4,-,1,3] => [1,3,4,2] => 2
[4,+,+,1] => [2,3,1,4] => 2
[4,-,+,1] => [3,1,4,2] => 2
[4,+,-,1] => [2,1,4,3] => 1
[4,-,-,1] => [1,4,2,3] => 2
[4,3,1,2] => [1,2,4,3] => 1
[4,3,2,1] => [2,1,4,3] => 1
[+,+,+,+,+] => [1,2,3,4,5] => 0
[-,+,+,+,+] => [2,3,4,5,1] => 1
[+,-,+,+,+] => [1,3,4,5,2] => 2
[+,+,-,+,+] => [1,2,4,5,3] => 2
[+,+,+,-,+] => [1,2,3,5,4] => 1
[+,+,+,+,-] => [1,2,3,4,5] => 0
[-,-,+,+,+] => [3,4,5,1,2] => 2
[-,+,-,+,+] => [2,4,5,1,3] => 2
[-,+,+,-,+] => [2,3,5,1,4] => 2
[-,+,+,+,-] => [2,3,4,1,5] => 2
[+,-,-,+,+] => [1,4,5,2,3] => 2
[+,-,+,-,+] => [1,3,5,2,4] => 2
[+,-,+,+,-] => [1,3,4,2,5] => 2
[+,+,-,-,+] => [1,2,5,3,4] => 2
[+,+,-,+,-] => [1,2,4,3,5] => 1
>>> Load all 412 entries. <<<
[+,+,+,-,-] => [1,2,3,4,5] => 0
[-,-,-,+,+] => [4,5,1,2,3] => 2
[-,-,+,-,+] => [3,5,1,2,4] => 2
[-,-,+,+,-] => [3,4,1,2,5] => 2
[-,+,-,-,+] => [2,5,1,3,4] => 2
[-,+,-,+,-] => [2,4,1,3,5] => 2
[-,+,+,-,-] => [2,3,1,4,5] => 2
[+,-,-,-,+] => [1,5,2,3,4] => 2
[+,-,-,+,-] => [1,4,2,3,5] => 2
[+,-,+,-,-] => [1,3,2,4,5] => 1
[+,+,-,-,-] => [1,2,3,4,5] => 0
[-,-,-,-,+] => [5,1,2,3,4] => 1
[-,-,-,+,-] => [4,1,2,3,5] => 2
[-,-,+,-,-] => [3,1,2,4,5] => 2
[-,+,-,-,-] => [2,1,3,4,5] => 1
[+,-,-,-,-] => [1,2,3,4,5] => 0
[-,-,-,-,-] => [1,2,3,4,5] => 0
[+,+,+,5,4] => [1,2,3,4,5] => 0
[-,+,+,5,4] => [2,3,4,1,5] => 2
[+,-,+,5,4] => [1,3,4,2,5] => 2
[+,+,-,5,4] => [1,2,4,3,5] => 1
[-,-,+,5,4] => [3,4,1,2,5] => 2
[-,+,-,5,4] => [2,4,1,3,5] => 2
[+,-,-,5,4] => [1,4,2,3,5] => 2
[-,-,-,5,4] => [4,1,2,3,5] => 2
[+,+,4,3,+] => [1,2,3,5,4] => 1
[-,+,4,3,+] => [2,3,5,1,4] => 2
[+,-,4,3,+] => [1,3,5,2,4] => 2
[+,+,4,3,-] => [1,2,3,4,5] => 0
[-,-,4,3,+] => [3,5,1,2,4] => 2
[-,+,4,3,-] => [2,3,1,4,5] => 2
[+,-,4,3,-] => [1,3,2,4,5] => 1
[-,-,4,3,-] => [3,1,2,4,5] => 2
[+,+,4,5,3] => [1,2,3,4,5] => 0
[-,+,4,5,3] => [2,3,1,4,5] => 2
[+,-,4,5,3] => [1,3,2,4,5] => 1
[-,-,4,5,3] => [3,1,2,4,5] => 2
[+,+,5,3,4] => [1,2,3,4,5] => 0
[-,+,5,3,4] => [2,3,4,1,5] => 2
[+,-,5,3,4] => [1,3,4,2,5] => 2
[-,-,5,3,4] => [3,4,1,2,5] => 2
[+,+,5,+,3] => [1,2,4,3,5] => 1
[-,+,5,+,3] => [2,4,3,1,5] => 2
[+,-,5,+,3] => [1,4,3,2,5] => 2
[+,+,5,-,3] => [1,2,3,5,4] => 1
[-,-,5,+,3] => [4,3,1,2,5] => 2
[-,+,5,-,3] => [2,3,1,5,4] => 2
[+,-,5,-,3] => [1,3,2,5,4] => 1
[-,-,5,-,3] => [3,1,2,5,4] => 2
[+,3,2,+,+] => [1,2,4,5,3] => 2
[-,3,2,+,+] => [2,4,5,1,3] => 2
[+,3,2,-,+] => [1,2,5,3,4] => 2
[+,3,2,+,-] => [1,2,4,3,5] => 1
[-,3,2,-,+] => [2,5,1,3,4] => 2
[-,3,2,+,-] => [2,4,1,3,5] => 2
[+,3,2,-,-] => [1,2,3,4,5] => 0
[-,3,2,-,-] => [2,1,3,4,5] => 1
[+,3,2,5,4] => [1,2,4,3,5] => 1
[-,3,2,5,4] => [2,4,1,3,5] => 2
[+,3,4,2,+] => [1,2,5,3,4] => 2
[-,3,4,2,+] => [2,5,1,3,4] => 2
[+,3,4,2,-] => [1,2,3,4,5] => 0
[-,3,4,2,-] => [2,1,3,4,5] => 1
[+,3,4,5,2] => [1,2,3,4,5] => 0
[-,3,4,5,2] => [2,1,3,4,5] => 1
[+,3,5,2,4] => [1,2,4,3,5] => 1
[-,3,5,2,4] => [2,4,1,3,5] => 2
[+,3,5,+,2] => [1,4,2,3,5] => 2
[-,3,5,+,2] => [4,2,1,3,5] => 2
[+,3,5,-,2] => [1,2,3,5,4] => 1
[-,3,5,-,2] => [2,1,3,5,4] => 1
[+,4,2,3,+] => [1,2,3,5,4] => 1
[-,4,2,3,+] => [2,3,5,1,4] => 2
[+,4,2,3,-] => [1,2,3,4,5] => 0
[-,4,2,3,-] => [2,3,1,4,5] => 2
[+,4,2,5,3] => [1,2,3,4,5] => 0
[-,4,2,5,3] => [2,3,1,4,5] => 2
[+,4,+,2,+] => [1,3,2,5,4] => 1
[-,4,+,2,+] => [3,2,5,1,4] => 2
[+,4,-,2,+] => [1,2,5,4,3] => 2
[+,4,+,2,-] => [1,3,2,4,5] => 1
[-,4,-,2,+] => [2,5,1,4,3] => 2
[-,4,+,2,-] => [3,2,1,4,5] => 2
[+,4,-,2,-] => [1,2,4,3,5] => 1
[-,4,-,2,-] => [2,1,4,3,5] => 1
[+,4,+,5,2] => [1,3,2,4,5] => 1
[-,4,+,5,2] => [3,2,1,4,5] => 2
[+,4,-,5,2] => [1,2,4,3,5] => 1
[-,4,-,5,2] => [2,1,4,3,5] => 1
[+,4,5,2,3] => [1,2,3,4,5] => 0
[-,4,5,2,3] => [2,3,1,4,5] => 2
[+,4,5,3,2] => [1,3,2,4,5] => 1
[-,4,5,3,2] => [3,2,1,4,5] => 2
[+,5,2,3,4] => [1,2,3,4,5] => 0
[-,5,2,3,4] => [2,3,4,1,5] => 2
[+,5,2,+,3] => [1,2,4,3,5] => 1
[-,5,2,+,3] => [2,4,3,1,5] => 2
[+,5,2,-,3] => [1,2,3,5,4] => 1
[-,5,2,-,3] => [2,3,1,5,4] => 2
[+,5,+,2,4] => [1,3,2,4,5] => 1
[-,5,+,2,4] => [3,2,4,1,5] => 2
[+,5,-,2,4] => [1,2,4,5,3] => 2
[-,5,-,2,4] => [2,4,1,5,3] => 2
[+,5,+,+,2] => [1,3,4,2,5] => 2
[-,5,+,+,2] => [3,4,2,1,5] => 2
[+,5,-,+,2] => [1,4,2,5,3] => 2
[+,5,+,-,2] => [1,3,2,5,4] => 1
[-,5,-,+,2] => [4,2,1,5,3] => 2
[-,5,+,-,2] => [3,2,1,5,4] => 2
[+,5,-,-,2] => [1,2,5,3,4] => 2
[-,5,-,-,2] => [2,1,5,3,4] => 2
[+,5,4,2,3] => [1,2,3,5,4] => 1
[-,5,4,2,3] => [2,3,1,5,4] => 2
[+,5,4,3,2] => [1,3,2,5,4] => 1
[-,5,4,3,2] => [3,2,1,5,4] => 2
[2,1,+,+,+] => [1,3,4,5,2] => 2
[2,1,-,+,+] => [1,4,5,2,3] => 2
[2,1,+,-,+] => [1,3,5,2,4] => 2
[2,1,+,+,-] => [1,3,4,2,5] => 2
[2,1,-,-,+] => [1,5,2,3,4] => 2
[2,1,-,+,-] => [1,4,2,3,5] => 2
[2,1,+,-,-] => [1,3,2,4,5] => 1
[2,1,-,-,-] => [1,2,3,4,5] => 0
[2,1,+,5,4] => [1,3,4,2,5] => 2
[2,1,-,5,4] => [1,4,2,3,5] => 2
[2,1,4,3,+] => [1,3,5,2,4] => 2
[2,1,4,3,-] => [1,3,2,4,5] => 1
[2,1,4,5,3] => [1,3,2,4,5] => 1
[2,1,5,3,4] => [1,3,4,2,5] => 2
[2,1,5,+,3] => [1,4,3,2,5] => 2
[2,1,5,-,3] => [1,3,2,5,4] => 1
[2,3,1,+,+] => [1,4,5,2,3] => 2
[2,3,1,-,+] => [1,5,2,3,4] => 2
[2,3,1,+,-] => [1,4,2,3,5] => 2
[2,3,1,-,-] => [1,2,3,4,5] => 0
[2,3,1,5,4] => [1,4,2,3,5] => 2
[2,3,4,1,+] => [1,5,2,3,4] => 2
[2,3,4,1,-] => [1,2,3,4,5] => 0
[2,3,4,5,1] => [1,2,3,4,5] => 0
[2,3,5,1,4] => [1,4,2,3,5] => 2
[2,3,5,+,1] => [4,1,2,3,5] => 2
[2,3,5,-,1] => [1,2,3,5,4] => 1
[2,4,1,3,+] => [1,3,5,2,4] => 2
[2,4,1,3,-] => [1,3,2,4,5] => 1
[2,4,1,5,3] => [1,3,2,4,5] => 1
[2,4,+,1,+] => [3,1,5,2,4] => 2
[2,4,-,1,+] => [1,5,2,4,3] => 2
[2,4,+,1,-] => [3,1,2,4,5] => 2
[2,4,-,1,-] => [1,2,4,3,5] => 1
[2,4,+,5,1] => [3,1,2,4,5] => 2
[2,4,-,5,1] => [1,2,4,3,5] => 1
[2,4,5,1,3] => [1,3,2,4,5] => 1
[2,4,5,3,1] => [3,1,2,4,5] => 2
[2,5,1,3,4] => [1,3,4,2,5] => 2
[2,5,1,+,3] => [1,4,3,2,5] => 2
[2,5,1,-,3] => [1,3,2,5,4] => 1
[2,5,+,1,4] => [3,1,4,2,5] => 2
[2,5,-,1,4] => [1,4,2,5,3] => 2
[2,5,+,+,1] => [3,4,1,2,5] => 2
[2,5,-,+,1] => [4,1,2,5,3] => 2
[2,5,+,-,1] => [3,1,2,5,4] => 2
[2,5,-,-,1] => [1,2,5,3,4] => 2
[2,5,4,1,3] => [1,3,2,5,4] => 1
[2,5,4,3,1] => [3,1,2,5,4] => 2
[3,1,2,+,+] => [1,2,4,5,3] => 2
[3,1,2,-,+] => [1,2,5,3,4] => 2
[3,1,2,+,-] => [1,2,4,3,5] => 1
[3,1,2,-,-] => [1,2,3,4,5] => 0
[3,1,2,5,4] => [1,2,4,3,5] => 1
[3,1,4,2,+] => [1,2,5,3,4] => 2
[3,1,4,2,-] => [1,2,3,4,5] => 0
[3,1,4,5,2] => [1,2,3,4,5] => 0
[3,1,5,2,4] => [1,2,4,3,5] => 1
[3,1,5,+,2] => [1,4,2,3,5] => 2
[3,1,5,-,2] => [1,2,3,5,4] => 1
[3,+,1,+,+] => [2,1,4,5,3] => 2
[3,-,1,+,+] => [1,4,5,3,2] => 2
[3,+,1,-,+] => [2,1,5,3,4] => 2
[3,+,1,+,-] => [2,1,4,3,5] => 1
[3,-,1,-,+] => [1,5,3,2,4] => 2
[3,-,1,+,-] => [1,4,3,2,5] => 2
[3,+,1,-,-] => [2,1,3,4,5] => 1
[3,-,1,-,-] => [1,3,2,4,5] => 1
[3,+,1,5,4] => [2,1,4,3,5] => 1
[3,-,1,5,4] => [1,4,3,2,5] => 2
[3,+,4,1,+] => [2,1,5,3,4] => 2
[3,-,4,1,+] => [1,5,3,2,4] => 2
[3,+,4,1,-] => [2,1,3,4,5] => 1
[3,-,4,1,-] => [1,3,2,4,5] => 1
[3,+,4,5,1] => [2,1,3,4,5] => 1
[3,-,4,5,1] => [1,3,2,4,5] => 1
[3,+,5,1,4] => [2,1,4,3,5] => 1
[3,-,5,1,4] => [1,4,3,2,5] => 2
[3,+,5,+,1] => [2,4,1,3,5] => 2
[3,-,5,+,1] => [4,1,3,2,5] => 2
[3,+,5,-,1] => [2,1,3,5,4] => 1
[3,-,5,-,1] => [1,3,2,5,4] => 1
[3,4,1,2,+] => [1,2,5,3,4] => 2
[3,4,1,2,-] => [1,2,3,4,5] => 0
[3,4,1,5,2] => [1,2,3,4,5] => 0
[3,4,2,1,+] => [2,1,5,3,4] => 2
[3,4,2,1,-] => [2,1,3,4,5] => 1
[3,4,2,5,1] => [2,1,3,4,5] => 1
[3,4,5,1,2] => [1,2,3,4,5] => 0
[3,4,5,2,1] => [2,1,3,4,5] => 1
[3,5,1,2,4] => [1,2,4,3,5] => 1
[3,5,1,+,2] => [1,4,2,3,5] => 2
[3,5,1,-,2] => [1,2,3,5,4] => 1
[3,5,2,1,4] => [2,1,4,3,5] => 1
[3,5,2,+,1] => [2,4,1,3,5] => 2
[3,5,2,-,1] => [2,1,3,5,4] => 1
[3,5,4,1,2] => [1,2,3,5,4] => 1
[3,5,4,2,1] => [2,1,3,5,4] => 1
[4,1,2,3,+] => [1,2,3,5,4] => 1
[4,1,2,3,-] => [1,2,3,4,5] => 0
[4,1,2,5,3] => [1,2,3,4,5] => 0
[4,1,+,2,+] => [1,3,2,5,4] => 1
[4,1,-,2,+] => [1,2,5,4,3] => 2
[4,1,+,2,-] => [1,3,2,4,5] => 1
[4,1,-,2,-] => [1,2,4,3,5] => 1
[4,1,+,5,2] => [1,3,2,4,5] => 1
[4,1,-,5,2] => [1,2,4,3,5] => 1
[4,1,5,2,3] => [1,2,3,4,5] => 0
[4,1,5,3,2] => [1,3,2,4,5] => 1
[4,+,1,3,+] => [2,1,3,5,4] => 1
[4,-,1,3,+] => [1,3,5,4,2] => 2
[4,+,1,3,-] => [2,1,3,4,5] => 1
[4,-,1,3,-] => [1,3,4,2,5] => 2
[4,+,1,5,3] => [2,1,3,4,5] => 1
[4,-,1,5,3] => [1,3,4,2,5] => 2
[4,+,+,1,+] => [2,3,1,5,4] => 2
[4,-,+,1,+] => [3,1,5,4,2] => 2
[4,+,-,1,+] => [2,1,5,4,3] => 2
[4,+,+,1,-] => [2,3,1,4,5] => 2
[4,-,-,1,+] => [1,5,4,2,3] => 2
[4,-,+,1,-] => [3,1,4,2,5] => 2
[4,+,-,1,-] => [2,1,4,3,5] => 1
[4,-,-,1,-] => [1,4,2,3,5] => 2
[4,+,+,5,1] => [2,3,1,4,5] => 2
[4,-,+,5,1] => [3,1,4,2,5] => 2
[4,+,-,5,1] => [2,1,4,3,5] => 1
[4,-,-,5,1] => [1,4,2,3,5] => 2
[4,+,5,1,3] => [2,1,3,4,5] => 1
[4,-,5,1,3] => [1,3,4,2,5] => 2
[4,+,5,3,1] => [2,3,1,4,5] => 2
[4,-,5,3,1] => [3,1,4,2,5] => 2
[4,3,1,2,+] => [1,2,5,4,3] => 2
[4,3,1,2,-] => [1,2,4,3,5] => 1
[4,3,1,5,2] => [1,2,4,3,5] => 1
[4,3,2,1,+] => [2,1,5,4,3] => 2
[4,3,2,1,-] => [2,1,4,3,5] => 1
[4,3,2,5,1] => [2,1,4,3,5] => 1
[4,3,5,1,2] => [1,2,4,3,5] => 1
[4,3,5,2,1] => [2,1,4,3,5] => 1
[4,5,1,2,3] => [1,2,3,4,5] => 0
[4,5,1,3,2] => [1,3,2,4,5] => 1
[4,5,2,1,3] => [2,1,3,4,5] => 1
[4,5,2,3,1] => [2,3,1,4,5] => 2
[4,5,+,1,2] => [3,1,2,4,5] => 2
[4,5,-,1,2] => [1,2,4,5,3] => 2
[4,5,+,2,1] => [3,2,1,4,5] => 2
[4,5,-,2,1] => [2,1,4,5,3] => 2
[5,1,2,3,4] => [1,2,3,4,5] => 0
[5,1,2,+,3] => [1,2,4,3,5] => 1
[5,1,2,-,3] => [1,2,3,5,4] => 1
[5,1,+,2,4] => [1,3,2,4,5] => 1
[5,1,-,2,4] => [1,2,4,5,3] => 2
[5,1,+,+,2] => [1,3,4,2,5] => 2
[5,1,-,+,2] => [1,4,2,5,3] => 2
[5,1,+,-,2] => [1,3,2,5,4] => 1
[5,1,-,-,2] => [1,2,5,3,4] => 2
[5,1,4,2,3] => [1,2,3,5,4] => 1
[5,1,4,3,2] => [1,3,2,5,4] => 1
[5,+,1,3,4] => [2,1,3,4,5] => 1
[5,-,1,3,4] => [1,3,4,5,2] => 2
[5,+,1,+,3] => [2,1,4,3,5] => 1
[5,-,1,+,3] => [1,4,3,5,2] => 2
[5,+,1,-,3] => [2,1,3,5,4] => 1
[5,-,1,-,3] => [1,3,5,2,4] => 2
[5,+,+,1,4] => [2,3,1,4,5] => 2
[5,-,+,1,4] => [3,1,4,5,2] => 2
[5,+,-,1,4] => [2,1,4,5,3] => 2
[5,-,-,1,4] => [1,4,5,2,3] => 2
[5,+,+,+,1] => [2,3,4,1,5] => 2
[5,-,+,+,1] => [3,4,1,5,2] => 2
[5,+,-,+,1] => [2,4,1,5,3] => 2
[5,+,+,-,1] => [2,3,1,5,4] => 2
[5,-,-,+,1] => [4,1,5,2,3] => 2
[5,-,+,-,1] => [3,1,5,2,4] => 2
[5,+,-,-,1] => [2,1,5,3,4] => 2
[5,-,-,-,1] => [1,5,2,3,4] => 2
[5,+,4,1,3] => [2,1,3,5,4] => 1
[5,-,4,1,3] => [1,3,5,2,4] => 2
[5,+,4,3,1] => [2,3,1,5,4] => 2
[5,-,4,3,1] => [3,1,5,2,4] => 2
[5,3,1,2,4] => [1,2,4,5,3] => 2
[5,3,1,+,2] => [1,4,2,5,3] => 2
[5,3,1,-,2] => [1,2,5,3,4] => 2
[5,3,2,1,4] => [2,1,4,5,3] => 2
[5,3,2,+,1] => [2,4,1,5,3] => 2
[5,3,2,-,1] => [2,1,5,3,4] => 2
[5,3,4,1,2] => [1,2,5,3,4] => 2
[5,3,4,2,1] => [2,1,5,3,4] => 2
[5,4,1,2,3] => [1,2,3,5,4] => 1
[5,4,1,3,2] => [1,3,2,5,4] => 1
[5,4,2,1,3] => [2,1,3,5,4] => 1
[5,4,2,3,1] => [2,3,1,5,4] => 2
[5,4,+,1,2] => [3,1,2,5,4] => 2
[5,4,-,1,2] => [1,2,5,4,3] => 2
[5,4,+,2,1] => [3,2,1,5,4] => 2
[5,4,-,2,1] => [2,1,5,4,3] => 2
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Description
The maximal modular displacement of a permutation.
This is $\max_{1\leq i \leq n} \left(\min(\pi(i)-i\pmod n, i-\pi(i)\pmod n)\right)$ for a permutation $\pi$ of $\{1,\dots,n\}$.
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 $u$.