Identifier
Mp00256: Decorated permutations upper permutationPermutations
Mp00069: Permutations complementPermutations
Images
[+] => [1] => [1]
[-] => [1] => [1]
[+,+] => [1,2] => [2,1]
[-,+] => [2,1] => [1,2]
[+,-] => [1,2] => [2,1]
[-,-] => [1,2] => [2,1]
[2,1] => [2,1] => [1,2]
[+,+,+] => [1,2,3] => [3,2,1]
[-,+,+] => [2,3,1] => [2,1,3]
[+,-,+] => [1,3,2] => [3,1,2]
[+,+,-] => [1,2,3] => [3,2,1]
[-,-,+] => [3,1,2] => [1,3,2]
[-,+,-] => [2,1,3] => [2,3,1]
[+,-,-] => [1,2,3] => [3,2,1]
[-,-,-] => [1,2,3] => [3,2,1]
[+,3,2] => [1,3,2] => [3,1,2]
[-,3,2] => [3,1,2] => [1,3,2]
[2,1,+] => [2,3,1] => [2,1,3]
[2,1,-] => [2,1,3] => [2,3,1]
[2,3,1] => [3,1,2] => [1,3,2]
[3,1,2] => [2,3,1] => [2,1,3]
[3,+,1] => [2,3,1] => [2,1,3]
[3,-,1] => [3,1,2] => [1,3,2]
[+,+,+,+] => [1,2,3,4] => [4,3,2,1]
[-,+,+,+] => [2,3,4,1] => [3,2,1,4]
[+,-,+,+] => [1,3,4,2] => [4,2,1,3]
[+,+,-,+] => [1,2,4,3] => [4,3,1,2]
[+,+,+,-] => [1,2,3,4] => [4,3,2,1]
[-,-,+,+] => [3,4,1,2] => [2,1,4,3]
[-,+,-,+] => [2,4,1,3] => [3,1,4,2]
[-,+,+,-] => [2,3,1,4] => [3,2,4,1]
[+,-,-,+] => [1,4,2,3] => [4,1,3,2]
[+,-,+,-] => [1,3,2,4] => [4,2,3,1]
[+,+,-,-] => [1,2,3,4] => [4,3,2,1]
[-,-,-,+] => [4,1,2,3] => [1,4,3,2]
[-,-,+,-] => [3,1,2,4] => [2,4,3,1]
[-,+,-,-] => [2,1,3,4] => [3,4,2,1]
[+,-,-,-] => [1,2,3,4] => [4,3,2,1]
[-,-,-,-] => [1,2,3,4] => [4,3,2,1]
[+,+,4,3] => [1,2,4,3] => [4,3,1,2]
[-,+,4,3] => [2,4,1,3] => [3,1,4,2]
[+,-,4,3] => [1,4,2,3] => [4,1,3,2]
[-,-,4,3] => [4,1,2,3] => [1,4,3,2]
[+,3,2,+] => [1,3,4,2] => [4,2,1,3]
[-,3,2,+] => [3,4,1,2] => [2,1,4,3]
[+,3,2,-] => [1,3,2,4] => [4,2,3,1]
[-,3,2,-] => [3,1,2,4] => [2,4,3,1]
[+,3,4,2] => [1,4,2,3] => [4,1,3,2]
[-,3,4,2] => [4,1,2,3] => [1,4,3,2]
[+,4,2,3] => [1,3,4,2] => [4,2,1,3]
[-,4,2,3] => [3,4,1,2] => [2,1,4,3]
[+,4,+,2] => [1,3,4,2] => [4,2,1,3]
[-,4,+,2] => [3,4,1,2] => [2,1,4,3]
[+,4,-,2] => [1,4,2,3] => [4,1,3,2]
[-,4,-,2] => [4,1,2,3] => [1,4,3,2]
[2,1,+,+] => [2,3,4,1] => [3,2,1,4]
[2,1,-,+] => [2,4,1,3] => [3,1,4,2]
[2,1,+,-] => [2,3,1,4] => [3,2,4,1]
[2,1,-,-] => [2,1,3,4] => [3,4,2,1]
[2,1,4,3] => [2,4,1,3] => [3,1,4,2]
[2,3,1,+] => [3,4,1,2] => [2,1,4,3]
[2,3,1,-] => [3,1,2,4] => [2,4,3,1]
[2,3,4,1] => [4,1,2,3] => [1,4,3,2]
[2,4,1,3] => [3,4,1,2] => [2,1,4,3]
[2,4,+,1] => [3,4,1,2] => [2,1,4,3]
[2,4,-,1] => [4,1,2,3] => [1,4,3,2]
[3,1,2,+] => [2,3,4,1] => [3,2,1,4]
[3,1,2,-] => [2,3,1,4] => [3,2,4,1]
[3,1,4,2] => [2,4,1,3] => [3,1,4,2]
[3,+,1,+] => [2,3,4,1] => [3,2,1,4]
[3,-,1,+] => [3,4,1,2] => [2,1,4,3]
[3,+,1,-] => [2,3,1,4] => [3,2,4,1]
[3,-,1,-] => [3,1,2,4] => [2,4,3,1]
[3,+,4,1] => [2,4,1,3] => [3,1,4,2]
[3,-,4,1] => [4,1,2,3] => [1,4,3,2]
[3,4,1,2] => [3,4,1,2] => [2,1,4,3]
[3,4,2,1] => [3,4,1,2] => [2,1,4,3]
[4,1,2,3] => [2,3,4,1] => [3,2,1,4]
[4,1,+,2] => [2,3,4,1] => [3,2,1,4]
[4,1,-,2] => [2,4,1,3] => [3,1,4,2]
[4,+,1,3] => [2,3,4,1] => [3,2,1,4]
[4,-,1,3] => [3,4,1,2] => [2,1,4,3]
[4,+,+,1] => [2,3,4,1] => [3,2,1,4]
[4,-,+,1] => [3,4,1,2] => [2,1,4,3]
[4,+,-,1] => [2,4,1,3] => [3,1,4,2]
[4,-,-,1] => [4,1,2,3] => [1,4,3,2]
[4,3,1,2] => [3,4,1,2] => [2,1,4,3]
[4,3,2,1] => [3,4,1,2] => [2,1,4,3]
[+,+,+,+,+] => [1,2,3,4,5] => [5,4,3,2,1]
[-,+,+,+,+] => [2,3,4,5,1] => [4,3,2,1,5]
[+,-,+,+,+] => [1,3,4,5,2] => [5,3,2,1,4]
[+,+,-,+,+] => [1,2,4,5,3] => [5,4,2,1,3]
[+,+,+,-,+] => [1,2,3,5,4] => [5,4,3,1,2]
[+,+,+,+,-] => [1,2,3,4,5] => [5,4,3,2,1]
[-,-,+,+,+] => [3,4,5,1,2] => [3,2,1,5,4]
[-,+,-,+,+] => [2,4,5,1,3] => [4,2,1,5,3]
[-,+,+,-,+] => [2,3,5,1,4] => [4,3,1,5,2]
[-,+,+,+,-] => [2,3,4,1,5] => [4,3,2,5,1]
[+,-,-,+,+] => [1,4,5,2,3] => [5,2,1,4,3]
[+,-,+,-,+] => [1,3,5,2,4] => [5,3,1,4,2]
[+,-,+,+,-] => [1,3,4,2,5] => [5,3,2,4,1]
>>> Load all 2371 entries. <<<
[+,+,-,-,+] => [1,2,5,3,4] => [5,4,1,3,2]
[+,+,-,+,-] => [1,2,4,3,5] => [5,4,2,3,1]
[+,+,+,-,-] => [1,2,3,4,5] => [5,4,3,2,1]
[-,-,-,+,+] => [4,5,1,2,3] => [2,1,5,4,3]
[-,-,+,-,+] => [3,5,1,2,4] => [3,1,5,4,2]
[-,-,+,+,-] => [3,4,1,2,5] => [3,2,5,4,1]
[-,+,-,-,+] => [2,5,1,3,4] => [4,1,5,3,2]
[-,+,-,+,-] => [2,4,1,3,5] => [4,2,5,3,1]
[-,+,+,-,-] => [2,3,1,4,5] => [4,3,5,2,1]
[+,-,-,-,+] => [1,5,2,3,4] => [5,1,4,3,2]
[+,-,-,+,-] => [1,4,2,3,5] => [5,2,4,3,1]
[+,-,+,-,-] => [1,3,2,4,5] => [5,3,4,2,1]
[+,+,-,-,-] => [1,2,3,4,5] => [5,4,3,2,1]
[-,-,-,-,+] => [5,1,2,3,4] => [1,5,4,3,2]
[-,-,-,+,-] => [4,1,2,3,5] => [2,5,4,3,1]
[-,-,+,-,-] => [3,1,2,4,5] => [3,5,4,2,1]
[-,+,-,-,-] => [2,1,3,4,5] => [4,5,3,2,1]
[+,-,-,-,-] => [1,2,3,4,5] => [5,4,3,2,1]
[-,-,-,-,-] => [1,2,3,4,5] => [5,4,3,2,1]
[+,+,+,5,4] => [1,2,3,5,4] => [5,4,3,1,2]
[-,+,+,5,4] => [2,3,5,1,4] => [4,3,1,5,2]
[+,-,+,5,4] => [1,3,5,2,4] => [5,3,1,4,2]
[+,+,-,5,4] => [1,2,5,3,4] => [5,4,1,3,2]
[-,-,+,5,4] => [3,5,1,2,4] => [3,1,5,4,2]
[-,+,-,5,4] => [2,5,1,3,4] => [4,1,5,3,2]
[+,-,-,5,4] => [1,5,2,3,4] => [5,1,4,3,2]
[-,-,-,5,4] => [5,1,2,3,4] => [1,5,4,3,2]
[+,+,4,3,+] => [1,2,4,5,3] => [5,4,2,1,3]
[-,+,4,3,+] => [2,4,5,1,3] => [4,2,1,5,3]
[+,-,4,3,+] => [1,4,5,2,3] => [5,2,1,4,3]
[+,+,4,3,-] => [1,2,4,3,5] => [5,4,2,3,1]
[-,-,4,3,+] => [4,5,1,2,3] => [2,1,5,4,3]
[-,+,4,3,-] => [2,4,1,3,5] => [4,2,5,3,1]
[+,-,4,3,-] => [1,4,2,3,5] => [5,2,4,3,1]
[-,-,4,3,-] => [4,1,2,3,5] => [2,5,4,3,1]
[+,+,4,5,3] => [1,2,5,3,4] => [5,4,1,3,2]
[-,+,4,5,3] => [2,5,1,3,4] => [4,1,5,3,2]
[+,-,4,5,3] => [1,5,2,3,4] => [5,1,4,3,2]
[-,-,4,5,3] => [5,1,2,3,4] => [1,5,4,3,2]
[+,+,5,3,4] => [1,2,4,5,3] => [5,4,2,1,3]
[-,+,5,3,4] => [2,4,5,1,3] => [4,2,1,5,3]
[+,-,5,3,4] => [1,4,5,2,3] => [5,2,1,4,3]
[-,-,5,3,4] => [4,5,1,2,3] => [2,1,5,4,3]
[+,+,5,+,3] => [1,2,4,5,3] => [5,4,2,1,3]
[-,+,5,+,3] => [2,4,5,1,3] => [4,2,1,5,3]
[+,-,5,+,3] => [1,4,5,2,3] => [5,2,1,4,3]
[+,+,5,-,3] => [1,2,5,3,4] => [5,4,1,3,2]
[-,-,5,+,3] => [4,5,1,2,3] => [2,1,5,4,3]
[-,+,5,-,3] => [2,5,1,3,4] => [4,1,5,3,2]
[+,-,5,-,3] => [1,5,2,3,4] => [5,1,4,3,2]
[-,-,5,-,3] => [5,1,2,3,4] => [1,5,4,3,2]
[+,3,2,+,+] => [1,3,4,5,2] => [5,3,2,1,4]
[-,3,2,+,+] => [3,4,5,1,2] => [3,2,1,5,4]
[+,3,2,-,+] => [1,3,5,2,4] => [5,3,1,4,2]
[+,3,2,+,-] => [1,3,4,2,5] => [5,3,2,4,1]
[-,3,2,-,+] => [3,5,1,2,4] => [3,1,5,4,2]
[-,3,2,+,-] => [3,4,1,2,5] => [3,2,5,4,1]
[+,3,2,-,-] => [1,3,2,4,5] => [5,3,4,2,1]
[-,3,2,-,-] => [3,1,2,4,5] => [3,5,4,2,1]
[+,3,2,5,4] => [1,3,5,2,4] => [5,3,1,4,2]
[-,3,2,5,4] => [3,5,1,2,4] => [3,1,5,4,2]
[+,3,4,2,+] => [1,4,5,2,3] => [5,2,1,4,3]
[-,3,4,2,+] => [4,5,1,2,3] => [2,1,5,4,3]
[+,3,4,2,-] => [1,4,2,3,5] => [5,2,4,3,1]
[-,3,4,2,-] => [4,1,2,3,5] => [2,5,4,3,1]
[+,3,4,5,2] => [1,5,2,3,4] => [5,1,4,3,2]
[-,3,4,5,2] => [5,1,2,3,4] => [1,5,4,3,2]
[+,3,5,2,4] => [1,4,5,2,3] => [5,2,1,4,3]
[-,3,5,2,4] => [4,5,1,2,3] => [2,1,5,4,3]
[+,3,5,+,2] => [1,4,5,2,3] => [5,2,1,4,3]
[-,3,5,+,2] => [4,5,1,2,3] => [2,1,5,4,3]
[+,3,5,-,2] => [1,5,2,3,4] => [5,1,4,3,2]
[-,3,5,-,2] => [5,1,2,3,4] => [1,5,4,3,2]
[+,4,2,3,+] => [1,3,4,5,2] => [5,3,2,1,4]
[-,4,2,3,+] => [3,4,5,1,2] => [3,2,1,5,4]
[+,4,2,3,-] => [1,3,4,2,5] => [5,3,2,4,1]
[-,4,2,3,-] => [3,4,1,2,5] => [3,2,5,4,1]
[+,4,2,5,3] => [1,3,5,2,4] => [5,3,1,4,2]
[-,4,2,5,3] => [3,5,1,2,4] => [3,1,5,4,2]
[+,4,+,2,+] => [1,3,4,5,2] => [5,3,2,1,4]
[-,4,+,2,+] => [3,4,5,1,2] => [3,2,1,5,4]
[+,4,-,2,+] => [1,4,5,2,3] => [5,2,1,4,3]
[+,4,+,2,-] => [1,3,4,2,5] => [5,3,2,4,1]
[-,4,-,2,+] => [4,5,1,2,3] => [2,1,5,4,3]
[-,4,+,2,-] => [3,4,1,2,5] => [3,2,5,4,1]
[+,4,-,2,-] => [1,4,2,3,5] => [5,2,4,3,1]
[-,4,-,2,-] => [4,1,2,3,5] => [2,5,4,3,1]
[+,4,+,5,2] => [1,3,5,2,4] => [5,3,1,4,2]
[-,4,+,5,2] => [3,5,1,2,4] => [3,1,5,4,2]
[+,4,-,5,2] => [1,5,2,3,4] => [5,1,4,3,2]
[-,4,-,5,2] => [5,1,2,3,4] => [1,5,4,3,2]
[+,4,5,2,3] => [1,4,5,2,3] => [5,2,1,4,3]
[-,4,5,2,3] => [4,5,1,2,3] => [2,1,5,4,3]
[+,4,5,3,2] => [1,4,5,2,3] => [5,2,1,4,3]
[-,4,5,3,2] => [4,5,1,2,3] => [2,1,5,4,3]
[+,5,2,3,4] => [1,3,4,5,2] => [5,3,2,1,4]
[-,5,2,3,4] => [3,4,5,1,2] => [3,2,1,5,4]
[+,5,2,+,3] => [1,3,4,5,2] => [5,3,2,1,4]
[-,5,2,+,3] => [3,4,5,1,2] => [3,2,1,5,4]
[+,5,2,-,3] => [1,3,5,2,4] => [5,3,1,4,2]
[-,5,2,-,3] => [3,5,1,2,4] => [3,1,5,4,2]
[+,5,+,2,4] => [1,3,4,5,2] => [5,3,2,1,4]
[-,5,+,2,4] => [3,4,5,1,2] => [3,2,1,5,4]
[+,5,-,2,4] => [1,4,5,2,3] => [5,2,1,4,3]
[-,5,-,2,4] => [4,5,1,2,3] => [2,1,5,4,3]
[+,5,+,+,2] => [1,3,4,5,2] => [5,3,2,1,4]
[-,5,+,+,2] => [3,4,5,1,2] => [3,2,1,5,4]
[+,5,-,+,2] => [1,4,5,2,3] => [5,2,1,4,3]
[+,5,+,-,2] => [1,3,5,2,4] => [5,3,1,4,2]
[-,5,-,+,2] => [4,5,1,2,3] => [2,1,5,4,3]
[-,5,+,-,2] => [3,5,1,2,4] => [3,1,5,4,2]
[+,5,-,-,2] => [1,5,2,3,4] => [5,1,4,3,2]
[-,5,-,-,2] => [5,1,2,3,4] => [1,5,4,3,2]
[+,5,4,2,3] => [1,4,5,2,3] => [5,2,1,4,3]
[-,5,4,2,3] => [4,5,1,2,3] => [2,1,5,4,3]
[+,5,4,3,2] => [1,4,5,2,3] => [5,2,1,4,3]
[-,5,4,3,2] => [4,5,1,2,3] => [2,1,5,4,3]
[2,1,+,+,+] => [2,3,4,5,1] => [4,3,2,1,5]
[2,1,-,+,+] => [2,4,5,1,3] => [4,2,1,5,3]
[2,1,+,-,+] => [2,3,5,1,4] => [4,3,1,5,2]
[2,1,+,+,-] => [2,3,4,1,5] => [4,3,2,5,1]
[2,1,-,-,+] => [2,5,1,3,4] => [4,1,5,3,2]
[2,1,-,+,-] => [2,4,1,3,5] => [4,2,5,3,1]
[2,1,+,-,-] => [2,3,1,4,5] => [4,3,5,2,1]
[2,1,-,-,-] => [2,1,3,4,5] => [4,5,3,2,1]
[2,1,+,5,4] => [2,3,5,1,4] => [4,3,1,5,2]
[2,1,-,5,4] => [2,5,1,3,4] => [4,1,5,3,2]
[2,1,4,3,+] => [2,4,5,1,3] => [4,2,1,5,3]
[2,1,4,3,-] => [2,4,1,3,5] => [4,2,5,3,1]
[2,1,4,5,3] => [2,5,1,3,4] => [4,1,5,3,2]
[2,1,5,3,4] => [2,4,5,1,3] => [4,2,1,5,3]
[2,1,5,+,3] => [2,4,5,1,3] => [4,2,1,5,3]
[2,1,5,-,3] => [2,5,1,3,4] => [4,1,5,3,2]
[2,3,1,+,+] => [3,4,5,1,2] => [3,2,1,5,4]
[2,3,1,-,+] => [3,5,1,2,4] => [3,1,5,4,2]
[2,3,1,+,-] => [3,4,1,2,5] => [3,2,5,4,1]
[2,3,1,-,-] => [3,1,2,4,5] => [3,5,4,2,1]
[2,3,1,5,4] => [3,5,1,2,4] => [3,1,5,4,2]
[2,3,4,1,+] => [4,5,1,2,3] => [2,1,5,4,3]
[2,3,4,1,-] => [4,1,2,3,5] => [2,5,4,3,1]
[2,3,4,5,1] => [5,1,2,3,4] => [1,5,4,3,2]
[2,3,5,1,4] => [4,5,1,2,3] => [2,1,5,4,3]
[2,3,5,+,1] => [4,5,1,2,3] => [2,1,5,4,3]
[2,3,5,-,1] => [5,1,2,3,4] => [1,5,4,3,2]
[2,4,1,3,+] => [3,4,5,1,2] => [3,2,1,5,4]
[2,4,1,3,-] => [3,4,1,2,5] => [3,2,5,4,1]
[2,4,1,5,3] => [3,5,1,2,4] => [3,1,5,4,2]
[2,4,+,1,+] => [3,4,5,1,2] => [3,2,1,5,4]
[2,4,-,1,+] => [4,5,1,2,3] => [2,1,5,4,3]
[2,4,+,1,-] => [3,4,1,2,5] => [3,2,5,4,1]
[2,4,-,1,-] => [4,1,2,3,5] => [2,5,4,3,1]
[2,4,+,5,1] => [3,5,1,2,4] => [3,1,5,4,2]
[2,4,-,5,1] => [5,1,2,3,4] => [1,5,4,3,2]
[2,4,5,1,3] => [4,5,1,2,3] => [2,1,5,4,3]
[2,4,5,3,1] => [4,5,1,2,3] => [2,1,5,4,3]
[2,5,1,3,4] => [3,4,5,1,2] => [3,2,1,5,4]
[2,5,1,+,3] => [3,4,5,1,2] => [3,2,1,5,4]
[2,5,1,-,3] => [3,5,1,2,4] => [3,1,5,4,2]
[2,5,+,1,4] => [3,4,5,1,2] => [3,2,1,5,4]
[2,5,-,1,4] => [4,5,1,2,3] => [2,1,5,4,3]
[2,5,+,+,1] => [3,4,5,1,2] => [3,2,1,5,4]
[2,5,-,+,1] => [4,5,1,2,3] => [2,1,5,4,3]
[2,5,+,-,1] => [3,5,1,2,4] => [3,1,5,4,2]
[2,5,-,-,1] => [5,1,2,3,4] => [1,5,4,3,2]
[2,5,4,1,3] => [4,5,1,2,3] => [2,1,5,4,3]
[2,5,4,3,1] => [4,5,1,2,3] => [2,1,5,4,3]
[3,1,2,+,+] => [2,3,4,5,1] => [4,3,2,1,5]
[3,1,2,-,+] => [2,3,5,1,4] => [4,3,1,5,2]
[3,1,2,+,-] => [2,3,4,1,5] => [4,3,2,5,1]
[3,1,2,-,-] => [2,3,1,4,5] => [4,3,5,2,1]
[3,1,2,5,4] => [2,3,5,1,4] => [4,3,1,5,2]
[3,1,4,2,+] => [2,4,5,1,3] => [4,2,1,5,3]
[3,1,4,2,-] => [2,4,1,3,5] => [4,2,5,3,1]
[3,1,4,5,2] => [2,5,1,3,4] => [4,1,5,3,2]
[3,1,5,2,4] => [2,4,5,1,3] => [4,2,1,5,3]
[3,1,5,+,2] => [2,4,5,1,3] => [4,2,1,5,3]
[3,1,5,-,2] => [2,5,1,3,4] => [4,1,5,3,2]
[3,+,1,+,+] => [2,3,4,5,1] => [4,3,2,1,5]
[3,-,1,+,+] => [3,4,5,1,2] => [3,2,1,5,4]
[3,+,1,-,+] => [2,3,5,1,4] => [4,3,1,5,2]
[3,+,1,+,-] => [2,3,4,1,5] => [4,3,2,5,1]
[3,-,1,-,+] => [3,5,1,2,4] => [3,1,5,4,2]
[3,-,1,+,-] => [3,4,1,2,5] => [3,2,5,4,1]
[3,+,1,-,-] => [2,3,1,4,5] => [4,3,5,2,1]
[3,-,1,-,-] => [3,1,2,4,5] => [3,5,4,2,1]
[3,+,1,5,4] => [2,3,5,1,4] => [4,3,1,5,2]
[3,-,1,5,4] => [3,5,1,2,4] => [3,1,5,4,2]
[3,+,4,1,+] => [2,4,5,1,3] => [4,2,1,5,3]
[3,-,4,1,+] => [4,5,1,2,3] => [2,1,5,4,3]
[3,+,4,1,-] => [2,4,1,3,5] => [4,2,5,3,1]
[3,-,4,1,-] => [4,1,2,3,5] => [2,5,4,3,1]
[3,+,4,5,1] => [2,5,1,3,4] => [4,1,5,3,2]
[3,-,4,5,1] => [5,1,2,3,4] => [1,5,4,3,2]
[3,+,5,1,4] => [2,4,5,1,3] => [4,2,1,5,3]
[3,-,5,1,4] => [4,5,1,2,3] => [2,1,5,4,3]
[3,+,5,+,1] => [2,4,5,1,3] => [4,2,1,5,3]
[3,-,5,+,1] => [4,5,1,2,3] => [2,1,5,4,3]
[3,+,5,-,1] => [2,5,1,3,4] => [4,1,5,3,2]
[3,-,5,-,1] => [5,1,2,3,4] => [1,5,4,3,2]
[3,4,1,2,+] => [3,4,5,1,2] => [3,2,1,5,4]
[3,4,1,2,-] => [3,4,1,2,5] => [3,2,5,4,1]
[3,4,1,5,2] => [3,5,1,2,4] => [3,1,5,4,2]
[3,4,2,1,+] => [3,4,5,1,2] => [3,2,1,5,4]
[3,4,2,1,-] => [3,4,1,2,5] => [3,2,5,4,1]
[3,4,2,5,1] => [3,5,1,2,4] => [3,1,5,4,2]
[3,4,5,1,2] => [4,5,1,2,3] => [2,1,5,4,3]
[3,4,5,2,1] => [4,5,1,2,3] => [2,1,5,4,3]
[3,5,1,2,4] => [3,4,5,1,2] => [3,2,1,5,4]
[3,5,1,+,2] => [3,4,5,1,2] => [3,2,1,5,4]
[3,5,1,-,2] => [3,5,1,2,4] => [3,1,5,4,2]
[3,5,2,1,4] => [3,4,5,1,2] => [3,2,1,5,4]
[3,5,2,+,1] => [3,4,5,1,2] => [3,2,1,5,4]
[3,5,2,-,1] => [3,5,1,2,4] => [3,1,5,4,2]
[3,5,4,1,2] => [4,5,1,2,3] => [2,1,5,4,3]
[3,5,4,2,1] => [4,5,1,2,3] => [2,1,5,4,3]
[4,1,2,3,+] => [2,3,4,5,1] => [4,3,2,1,5]
[4,1,2,3,-] => [2,3,4,1,5] => [4,3,2,5,1]
[4,1,2,5,3] => [2,3,5,1,4] => [4,3,1,5,2]
[4,1,+,2,+] => [2,3,4,5,1] => [4,3,2,1,5]
[4,1,-,2,+] => [2,4,5,1,3] => [4,2,1,5,3]
[4,1,+,2,-] => [2,3,4,1,5] => [4,3,2,5,1]
[4,1,-,2,-] => [2,4,1,3,5] => [4,2,5,3,1]
[4,1,+,5,2] => [2,3,5,1,4] => [4,3,1,5,2]
[4,1,-,5,2] => [2,5,1,3,4] => [4,1,5,3,2]
[4,1,5,2,3] => [2,4,5,1,3] => [4,2,1,5,3]
[4,1,5,3,2] => [2,4,5,1,3] => [4,2,1,5,3]
[4,+,1,3,+] => [2,3,4,5,1] => [4,3,2,1,5]
[4,-,1,3,+] => [3,4,5,1,2] => [3,2,1,5,4]
[4,+,1,3,-] => [2,3,4,1,5] => [4,3,2,5,1]
[4,-,1,3,-] => [3,4,1,2,5] => [3,2,5,4,1]
[4,+,1,5,3] => [2,3,5,1,4] => [4,3,1,5,2]
[4,-,1,5,3] => [3,5,1,2,4] => [3,1,5,4,2]
[4,+,+,1,+] => [2,3,4,5,1] => [4,3,2,1,5]
[4,-,+,1,+] => [3,4,5,1,2] => [3,2,1,5,4]
[4,+,-,1,+] => [2,4,5,1,3] => [4,2,1,5,3]
[4,+,+,1,-] => [2,3,4,1,5] => [4,3,2,5,1]
[4,-,-,1,+] => [4,5,1,2,3] => [2,1,5,4,3]
[4,-,+,1,-] => [3,4,1,2,5] => [3,2,5,4,1]
[4,+,-,1,-] => [2,4,1,3,5] => [4,2,5,3,1]
[4,-,-,1,-] => [4,1,2,3,5] => [2,5,4,3,1]
[4,+,+,5,1] => [2,3,5,1,4] => [4,3,1,5,2]
[4,-,+,5,1] => [3,5,1,2,4] => [3,1,5,4,2]
[4,+,-,5,1] => [2,5,1,3,4] => [4,1,5,3,2]
[4,-,-,5,1] => [5,1,2,3,4] => [1,5,4,3,2]
[4,+,5,1,3] => [2,4,5,1,3] => [4,2,1,5,3]
[4,-,5,1,3] => [4,5,1,2,3] => [2,1,5,4,3]
[4,+,5,3,1] => [2,4,5,1,3] => [4,2,1,5,3]
[4,-,5,3,1] => [4,5,1,2,3] => [2,1,5,4,3]
[4,3,1,2,+] => [3,4,5,1,2] => [3,2,1,5,4]
[4,3,1,2,-] => [3,4,1,2,5] => [3,2,5,4,1]
[4,3,1,5,2] => [3,5,1,2,4] => [3,1,5,4,2]
[4,3,2,1,+] => [3,4,5,1,2] => [3,2,1,5,4]
[4,3,2,1,-] => [3,4,1,2,5] => [3,2,5,4,1]
[4,3,2,5,1] => [3,5,1,2,4] => [3,1,5,4,2]
[4,3,5,1,2] => [4,5,1,2,3] => [2,1,5,4,3]
[4,3,5,2,1] => [4,5,1,2,3] => [2,1,5,4,3]
[4,5,1,2,3] => [3,4,5,1,2] => [3,2,1,5,4]
[4,5,1,3,2] => [3,4,5,1,2] => [3,2,1,5,4]
[4,5,2,1,3] => [3,4,5,1,2] => [3,2,1,5,4]
[4,5,2,3,1] => [3,4,5,1,2] => [3,2,1,5,4]
[4,5,+,1,2] => [3,4,5,1,2] => [3,2,1,5,4]
[4,5,-,1,2] => [4,5,1,2,3] => [2,1,5,4,3]
[4,5,+,2,1] => [3,4,5,1,2] => [3,2,1,5,4]
[4,5,-,2,1] => [4,5,1,2,3] => [2,1,5,4,3]
[5,1,2,3,4] => [2,3,4,5,1] => [4,3,2,1,5]
[5,1,2,+,3] => [2,3,4,5,1] => [4,3,2,1,5]
[5,1,2,-,3] => [2,3,5,1,4] => [4,3,1,5,2]
[5,1,+,2,4] => [2,3,4,5,1] => [4,3,2,1,5]
[5,1,-,2,4] => [2,4,5,1,3] => [4,2,1,5,3]
[5,1,+,+,2] => [2,3,4,5,1] => [4,3,2,1,5]
[5,1,-,+,2] => [2,4,5,1,3] => [4,2,1,5,3]
[5,1,+,-,2] => [2,3,5,1,4] => [4,3,1,5,2]
[5,1,-,-,2] => [2,5,1,3,4] => [4,1,5,3,2]
[5,1,4,2,3] => [2,4,5,1,3] => [4,2,1,5,3]
[5,1,4,3,2] => [2,4,5,1,3] => [4,2,1,5,3]
[5,+,1,3,4] => [2,3,4,5,1] => [4,3,2,1,5]
[5,-,1,3,4] => [3,4,5,1,2] => [3,2,1,5,4]
[5,+,1,+,3] => [2,3,4,5,1] => [4,3,2,1,5]
[5,-,1,+,3] => [3,4,5,1,2] => [3,2,1,5,4]
[5,+,1,-,3] => [2,3,5,1,4] => [4,3,1,5,2]
[5,-,1,-,3] => [3,5,1,2,4] => [3,1,5,4,2]
[5,+,+,1,4] => [2,3,4,5,1] => [4,3,2,1,5]
[5,-,+,1,4] => [3,4,5,1,2] => [3,2,1,5,4]
[5,+,-,1,4] => [2,4,5,1,3] => [4,2,1,5,3]
[5,-,-,1,4] => [4,5,1,2,3] => [2,1,5,4,3]
[5,+,+,+,1] => [2,3,4,5,1] => [4,3,2,1,5]
[5,-,+,+,1] => [3,4,5,1,2] => [3,2,1,5,4]
[5,+,-,+,1] => [2,4,5,1,3] => [4,2,1,5,3]
[5,+,+,-,1] => [2,3,5,1,4] => [4,3,1,5,2]
[5,-,-,+,1] => [4,5,1,2,3] => [2,1,5,4,3]
[5,-,+,-,1] => [3,5,1,2,4] => [3,1,5,4,2]
[5,+,-,-,1] => [2,5,1,3,4] => [4,1,5,3,2]
[5,-,-,-,1] => [5,1,2,3,4] => [1,5,4,3,2]
[5,+,4,1,3] => [2,4,5,1,3] => [4,2,1,5,3]
[5,-,4,1,3] => [4,5,1,2,3] => [2,1,5,4,3]
[5,+,4,3,1] => [2,4,5,1,3] => [4,2,1,5,3]
[5,-,4,3,1] => [4,5,1,2,3] => [2,1,5,4,3]
[5,3,1,2,4] => [3,4,5,1,2] => [3,2,1,5,4]
[5,3,1,+,2] => [3,4,5,1,2] => [3,2,1,5,4]
[5,3,1,-,2] => [3,5,1,2,4] => [3,1,5,4,2]
[5,3,2,1,4] => [3,4,5,1,2] => [3,2,1,5,4]
[5,3,2,+,1] => [3,4,5,1,2] => [3,2,1,5,4]
[5,3,2,-,1] => [3,5,1,2,4] => [3,1,5,4,2]
[5,3,4,1,2] => [4,5,1,2,3] => [2,1,5,4,3]
[5,3,4,2,1] => [4,5,1,2,3] => [2,1,5,4,3]
[5,4,1,2,3] => [3,4,5,1,2] => [3,2,1,5,4]
[5,4,1,3,2] => [3,4,5,1,2] => [3,2,1,5,4]
[5,4,2,1,3] => [3,4,5,1,2] => [3,2,1,5,4]
[5,4,2,3,1] => [3,4,5,1,2] => [3,2,1,5,4]
[5,4,+,1,2] => [3,4,5,1,2] => [3,2,1,5,4]
[5,4,-,1,2] => [4,5,1,2,3] => [2,1,5,4,3]
[5,4,+,2,1] => [3,4,5,1,2] => [3,2,1,5,4]
[5,4,-,2,1] => [4,5,1,2,3] => [2,1,5,4,3]
[+,+,+,+,+,+] => [1,2,3,4,5,6] => [6,5,4,3,2,1]
[-,+,+,+,+,+] => [2,3,4,5,6,1] => [5,4,3,2,1,6]
[+,-,+,+,+,+] => [1,3,4,5,6,2] => [6,4,3,2,1,5]
[+,+,-,+,+,+] => [1,2,4,5,6,3] => [6,5,3,2,1,4]
[+,+,+,-,+,+] => [1,2,3,5,6,4] => [6,5,4,2,1,3]
[+,+,+,+,-,+] => [1,2,3,4,6,5] => [6,5,4,3,1,2]
[+,+,+,+,+,-] => [1,2,3,4,5,6] => [6,5,4,3,2,1]
[-,-,+,+,+,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[-,+,-,+,+,+] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[-,+,+,-,+,+] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[-,+,+,+,-,+] => [2,3,4,6,1,5] => [5,4,3,1,6,2]
[-,+,+,+,+,-] => [2,3,4,5,1,6] => [5,4,3,2,6,1]
[+,-,-,+,+,+] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[+,-,+,-,+,+] => [1,3,5,6,2,4] => [6,4,2,1,5,3]
[+,-,+,+,-,+] => [1,3,4,6,2,5] => [6,4,3,1,5,2]
[+,-,+,+,+,-] => [1,3,4,5,2,6] => [6,4,3,2,5,1]
[+,+,-,-,+,+] => [1,2,5,6,3,4] => [6,5,2,1,4,3]
[+,+,-,+,-,+] => [1,2,4,6,3,5] => [6,5,3,1,4,2]
[+,+,-,+,+,-] => [1,2,4,5,3,6] => [6,5,3,2,4,1]
[+,+,+,-,-,+] => [1,2,3,6,4,5] => [6,5,4,1,3,2]
[+,+,+,-,+,-] => [1,2,3,5,4,6] => [6,5,4,2,3,1]
[+,+,+,+,-,-] => [1,2,3,4,5,6] => [6,5,4,3,2,1]
[-,-,-,+,+,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[-,-,+,-,+,+] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[-,-,+,+,-,+] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[-,-,+,+,+,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[-,+,-,-,+,+] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[-,+,-,+,-,+] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[-,+,-,+,+,-] => [2,4,5,1,3,6] => [5,3,2,6,4,1]
[-,+,+,-,-,+] => [2,3,6,1,4,5] => [5,4,1,6,3,2]
[-,+,+,-,+,-] => [2,3,5,1,4,6] => [5,4,2,6,3,1]
[-,+,+,+,-,-] => [2,3,4,1,5,6] => [5,4,3,6,2,1]
[+,-,-,-,+,+] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[+,-,-,+,-,+] => [1,4,6,2,3,5] => [6,3,1,5,4,2]
[+,-,-,+,+,-] => [1,4,5,2,3,6] => [6,3,2,5,4,1]
[+,-,+,-,-,+] => [1,3,6,2,4,5] => [6,4,1,5,3,2]
[+,-,+,-,+,-] => [1,3,5,2,4,6] => [6,4,2,5,3,1]
[+,-,+,+,-,-] => [1,3,4,2,5,6] => [6,4,3,5,2,1]
[+,+,-,-,-,+] => [1,2,6,3,4,5] => [6,5,1,4,3,2]
[+,+,-,-,+,-] => [1,2,5,3,4,6] => [6,5,2,4,3,1]
[+,+,-,+,-,-] => [1,2,4,3,5,6] => [6,5,3,4,2,1]
[+,+,+,-,-,-] => [1,2,3,4,5,6] => [6,5,4,3,2,1]
[-,-,-,-,+,+] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[-,-,-,+,-,+] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[-,-,-,+,+,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[-,-,+,-,-,+] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[-,-,+,-,+,-] => [3,5,1,2,4,6] => [4,2,6,5,3,1]
[-,-,+,+,-,-] => [3,4,1,2,5,6] => [4,3,6,5,2,1]
[-,+,-,-,-,+] => [2,6,1,3,4,5] => [5,1,6,4,3,2]
[-,+,-,-,+,-] => [2,5,1,3,4,6] => [5,2,6,4,3,1]
[-,+,-,+,-,-] => [2,4,1,3,5,6] => [5,3,6,4,2,1]
[-,+,+,-,-,-] => [2,3,1,4,5,6] => [5,4,6,3,2,1]
[+,-,-,-,-,+] => [1,6,2,3,4,5] => [6,1,5,4,3,2]
[+,-,-,-,+,-] => [1,5,2,3,4,6] => [6,2,5,4,3,1]
[+,-,-,+,-,-] => [1,4,2,3,5,6] => [6,3,5,4,2,1]
[+,-,+,-,-,-] => [1,3,2,4,5,6] => [6,4,5,3,2,1]
[+,+,-,-,-,-] => [1,2,3,4,5,6] => [6,5,4,3,2,1]
[-,-,-,-,-,+] => [6,1,2,3,4,5] => [1,6,5,4,3,2]
[-,-,-,-,+,-] => [5,1,2,3,4,6] => [2,6,5,4,3,1]
[-,-,-,+,-,-] => [4,1,2,3,5,6] => [3,6,5,4,2,1]
[-,-,+,-,-,-] => [3,1,2,4,5,6] => [4,6,5,3,2,1]
[-,+,-,-,-,-] => [2,1,3,4,5,6] => [5,6,4,3,2,1]
[+,-,-,-,-,-] => [1,2,3,4,5,6] => [6,5,4,3,2,1]
[-,-,-,-,-,-] => [1,2,3,4,5,6] => [6,5,4,3,2,1]
[+,+,+,+,6,5] => [1,2,3,4,6,5] => [6,5,4,3,1,2]
[-,+,+,+,6,5] => [2,3,4,6,1,5] => [5,4,3,1,6,2]
[+,-,+,+,6,5] => [1,3,4,6,2,5] => [6,4,3,1,5,2]
[+,+,-,+,6,5] => [1,2,4,6,3,5] => [6,5,3,1,4,2]
[+,+,+,-,6,5] => [1,2,3,6,4,5] => [6,5,4,1,3,2]
[-,-,+,+,6,5] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[-,+,-,+,6,5] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[-,+,+,-,6,5] => [2,3,6,1,4,5] => [5,4,1,6,3,2]
[+,-,-,+,6,5] => [1,4,6,2,3,5] => [6,3,1,5,4,2]
[+,-,+,-,6,5] => [1,3,6,2,4,5] => [6,4,1,5,3,2]
[+,+,-,-,6,5] => [1,2,6,3,4,5] => [6,5,1,4,3,2]
[-,-,-,+,6,5] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[-,-,+,-,6,5] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[-,+,-,-,6,5] => [2,6,1,3,4,5] => [5,1,6,4,3,2]
[+,-,-,-,6,5] => [1,6,2,3,4,5] => [6,1,5,4,3,2]
[-,-,-,-,6,5] => [6,1,2,3,4,5] => [1,6,5,4,3,2]
[+,+,+,5,4,+] => [1,2,3,5,6,4] => [6,5,4,2,1,3]
[-,+,+,5,4,+] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[+,-,+,5,4,+] => [1,3,5,6,2,4] => [6,4,2,1,5,3]
[+,+,-,5,4,+] => [1,2,5,6,3,4] => [6,5,2,1,4,3]
[+,+,+,5,4,-] => [1,2,3,5,4,6] => [6,5,4,2,3,1]
[-,-,+,5,4,+] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[-,+,-,5,4,+] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[-,+,+,5,4,-] => [2,3,5,1,4,6] => [5,4,2,6,3,1]
[+,-,-,5,4,+] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[+,-,+,5,4,-] => [1,3,5,2,4,6] => [6,4,2,5,3,1]
[+,+,-,5,4,-] => [1,2,5,3,4,6] => [6,5,2,4,3,1]
[-,-,-,5,4,+] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[-,-,+,5,4,-] => [3,5,1,2,4,6] => [4,2,6,5,3,1]
[-,+,-,5,4,-] => [2,5,1,3,4,6] => [5,2,6,4,3,1]
[+,-,-,5,4,-] => [1,5,2,3,4,6] => [6,2,5,4,3,1]
[-,-,-,5,4,-] => [5,1,2,3,4,6] => [2,6,5,4,3,1]
[+,+,+,5,6,4] => [1,2,3,6,4,5] => [6,5,4,1,3,2]
[-,+,+,5,6,4] => [2,3,6,1,4,5] => [5,4,1,6,3,2]
[+,-,+,5,6,4] => [1,3,6,2,4,5] => [6,4,1,5,3,2]
[+,+,-,5,6,4] => [1,2,6,3,4,5] => [6,5,1,4,3,2]
[-,-,+,5,6,4] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[-,+,-,5,6,4] => [2,6,1,3,4,5] => [5,1,6,4,3,2]
[+,-,-,5,6,4] => [1,6,2,3,4,5] => [6,1,5,4,3,2]
[-,-,-,5,6,4] => [6,1,2,3,4,5] => [1,6,5,4,3,2]
[+,+,+,6,4,5] => [1,2,3,5,6,4] => [6,5,4,2,1,3]
[-,+,+,6,4,5] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[+,-,+,6,4,5] => [1,3,5,6,2,4] => [6,4,2,1,5,3]
[+,+,-,6,4,5] => [1,2,5,6,3,4] => [6,5,2,1,4,3]
[-,-,+,6,4,5] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[-,+,-,6,4,5] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[+,-,-,6,4,5] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[-,-,-,6,4,5] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[+,+,+,6,+,4] => [1,2,3,5,6,4] => [6,5,4,2,1,3]
[-,+,+,6,+,4] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[+,-,+,6,+,4] => [1,3,5,6,2,4] => [6,4,2,1,5,3]
[+,+,-,6,+,4] => [1,2,5,6,3,4] => [6,5,2,1,4,3]
[+,+,+,6,-,4] => [1,2,3,6,4,5] => [6,5,4,1,3,2]
[-,-,+,6,+,4] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[-,+,-,6,+,4] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[-,+,+,6,-,4] => [2,3,6,1,4,5] => [5,4,1,6,3,2]
[+,-,-,6,+,4] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[+,-,+,6,-,4] => [1,3,6,2,4,5] => [6,4,1,5,3,2]
[+,+,-,6,-,4] => [1,2,6,3,4,5] => [6,5,1,4,3,2]
[-,-,-,6,+,4] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[-,-,+,6,-,4] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[-,+,-,6,-,4] => [2,6,1,3,4,5] => [5,1,6,4,3,2]
[+,-,-,6,-,4] => [1,6,2,3,4,5] => [6,1,5,4,3,2]
[-,-,-,6,-,4] => [6,1,2,3,4,5] => [1,6,5,4,3,2]
[+,+,4,3,+,+] => [1,2,4,5,6,3] => [6,5,3,2,1,4]
[-,+,4,3,+,+] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[+,-,4,3,+,+] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[+,+,4,3,-,+] => [1,2,4,6,3,5] => [6,5,3,1,4,2]
[+,+,4,3,+,-] => [1,2,4,5,3,6] => [6,5,3,2,4,1]
[-,-,4,3,+,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[-,+,4,3,-,+] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[-,+,4,3,+,-] => [2,4,5,1,3,6] => [5,3,2,6,4,1]
[+,-,4,3,-,+] => [1,4,6,2,3,5] => [6,3,1,5,4,2]
[+,-,4,3,+,-] => [1,4,5,2,3,6] => [6,3,2,5,4,1]
[+,+,4,3,-,-] => [1,2,4,3,5,6] => [6,5,3,4,2,1]
[-,-,4,3,-,+] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[-,-,4,3,+,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[-,+,4,3,-,-] => [2,4,1,3,5,6] => [5,3,6,4,2,1]
[+,-,4,3,-,-] => [1,4,2,3,5,6] => [6,3,5,4,2,1]
[-,-,4,3,-,-] => [4,1,2,3,5,6] => [3,6,5,4,2,1]
[+,+,4,3,6,5] => [1,2,4,6,3,5] => [6,5,3,1,4,2]
[-,+,4,3,6,5] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[+,-,4,3,6,5] => [1,4,6,2,3,5] => [6,3,1,5,4,2]
[-,-,4,3,6,5] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[+,+,4,5,3,+] => [1,2,5,6,3,4] => [6,5,2,1,4,3]
[-,+,4,5,3,+] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[+,-,4,5,3,+] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[+,+,4,5,3,-] => [1,2,5,3,4,6] => [6,5,2,4,3,1]
[-,-,4,5,3,+] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[-,+,4,5,3,-] => [2,5,1,3,4,6] => [5,2,6,4,3,1]
[+,-,4,5,3,-] => [1,5,2,3,4,6] => [6,2,5,4,3,1]
[-,-,4,5,3,-] => [5,1,2,3,4,6] => [2,6,5,4,3,1]
[+,+,4,5,6,3] => [1,2,6,3,4,5] => [6,5,1,4,3,2]
[-,+,4,5,6,3] => [2,6,1,3,4,5] => [5,1,6,4,3,2]
[+,-,4,5,6,3] => [1,6,2,3,4,5] => [6,1,5,4,3,2]
[-,-,4,5,6,3] => [6,1,2,3,4,5] => [1,6,5,4,3,2]
[+,+,4,6,3,5] => [1,2,5,6,3,4] => [6,5,2,1,4,3]
[-,+,4,6,3,5] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[+,-,4,6,3,5] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[-,-,4,6,3,5] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[+,+,4,6,+,3] => [1,2,5,6,3,4] => [6,5,2,1,4,3]
[-,+,4,6,+,3] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[+,-,4,6,+,3] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[+,+,4,6,-,3] => [1,2,6,3,4,5] => [6,5,1,4,3,2]
[-,-,4,6,+,3] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[-,+,4,6,-,3] => [2,6,1,3,4,5] => [5,1,6,4,3,2]
[+,-,4,6,-,3] => [1,6,2,3,4,5] => [6,1,5,4,3,2]
[-,-,4,6,-,3] => [6,1,2,3,4,5] => [1,6,5,4,3,2]
[+,+,5,3,4,+] => [1,2,4,5,6,3] => [6,5,3,2,1,4]
[-,+,5,3,4,+] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[+,-,5,3,4,+] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[+,+,5,3,4,-] => [1,2,4,5,3,6] => [6,5,3,2,4,1]
[-,-,5,3,4,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[-,+,5,3,4,-] => [2,4,5,1,3,6] => [5,3,2,6,4,1]
[+,-,5,3,4,-] => [1,4,5,2,3,6] => [6,3,2,5,4,1]
[-,-,5,3,4,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[+,+,5,3,6,4] => [1,2,4,6,3,5] => [6,5,3,1,4,2]
[-,+,5,3,6,4] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[+,-,5,3,6,4] => [1,4,6,2,3,5] => [6,3,1,5,4,2]
[-,-,5,3,6,4] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[+,+,5,+,3,+] => [1,2,4,5,6,3] => [6,5,3,2,1,4]
[-,+,5,+,3,+] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[+,-,5,+,3,+] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[+,+,5,-,3,+] => [1,2,5,6,3,4] => [6,5,2,1,4,3]
[+,+,5,+,3,-] => [1,2,4,5,3,6] => [6,5,3,2,4,1]
[-,-,5,+,3,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[-,+,5,-,3,+] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[-,+,5,+,3,-] => [2,4,5,1,3,6] => [5,3,2,6,4,1]
[+,-,5,-,3,+] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[+,-,5,+,3,-] => [1,4,5,2,3,6] => [6,3,2,5,4,1]
[+,+,5,-,3,-] => [1,2,5,3,4,6] => [6,5,2,4,3,1]
[-,-,5,-,3,+] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[-,-,5,+,3,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[-,+,5,-,3,-] => [2,5,1,3,4,6] => [5,2,6,4,3,1]
[+,-,5,-,3,-] => [1,5,2,3,4,6] => [6,2,5,4,3,1]
[-,-,5,-,3,-] => [5,1,2,3,4,6] => [2,6,5,4,3,1]
[+,+,5,+,6,3] => [1,2,4,6,3,5] => [6,5,3,1,4,2]
[-,+,5,+,6,3] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[+,-,5,+,6,3] => [1,4,6,2,3,5] => [6,3,1,5,4,2]
[+,+,5,-,6,3] => [1,2,6,3,4,5] => [6,5,1,4,3,2]
[-,-,5,+,6,3] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[-,+,5,-,6,3] => [2,6,1,3,4,5] => [5,1,6,4,3,2]
[+,-,5,-,6,3] => [1,6,2,3,4,5] => [6,1,5,4,3,2]
[-,-,5,-,6,3] => [6,1,2,3,4,5] => [1,6,5,4,3,2]
[+,+,5,6,3,4] => [1,2,5,6,3,4] => [6,5,2,1,4,3]
[-,+,5,6,3,4] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[+,-,5,6,3,4] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[-,-,5,6,3,4] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[+,+,5,6,4,3] => [1,2,5,6,3,4] => [6,5,2,1,4,3]
[-,+,5,6,4,3] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[+,-,5,6,4,3] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[-,-,5,6,4,3] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[+,+,6,3,4,5] => [1,2,4,5,6,3] => [6,5,3,2,1,4]
[-,+,6,3,4,5] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[+,-,6,3,4,5] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[-,-,6,3,4,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[+,+,6,3,+,4] => [1,2,4,5,6,3] => [6,5,3,2,1,4]
[-,+,6,3,+,4] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[+,-,6,3,+,4] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[+,+,6,3,-,4] => [1,2,4,6,3,5] => [6,5,3,1,4,2]
[-,-,6,3,+,4] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[-,+,6,3,-,4] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[+,-,6,3,-,4] => [1,4,6,2,3,5] => [6,3,1,5,4,2]
[-,-,6,3,-,4] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[+,+,6,+,3,5] => [1,2,4,5,6,3] => [6,5,3,2,1,4]
[-,+,6,+,3,5] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[+,-,6,+,3,5] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[+,+,6,-,3,5] => [1,2,5,6,3,4] => [6,5,2,1,4,3]
[-,-,6,+,3,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[-,+,6,-,3,5] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[+,-,6,-,3,5] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[-,-,6,-,3,5] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[+,+,6,+,+,3] => [1,2,4,5,6,3] => [6,5,3,2,1,4]
[-,+,6,+,+,3] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[+,-,6,+,+,3] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[+,+,6,-,+,3] => [1,2,5,6,3,4] => [6,5,2,1,4,3]
[+,+,6,+,-,3] => [1,2,4,6,3,5] => [6,5,3,1,4,2]
[-,-,6,+,+,3] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[-,+,6,-,+,3] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[-,+,6,+,-,3] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[+,-,6,-,+,3] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[+,-,6,+,-,3] => [1,4,6,2,3,5] => [6,3,1,5,4,2]
[+,+,6,-,-,3] => [1,2,6,3,4,5] => [6,5,1,4,3,2]
[-,-,6,-,+,3] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[-,-,6,+,-,3] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[-,+,6,-,-,3] => [2,6,1,3,4,5] => [5,1,6,4,3,2]
[+,-,6,-,-,3] => [1,6,2,3,4,5] => [6,1,5,4,3,2]
[-,-,6,-,-,3] => [6,1,2,3,4,5] => [1,6,5,4,3,2]
[+,+,6,5,3,4] => [1,2,5,6,3,4] => [6,5,2,1,4,3]
[-,+,6,5,3,4] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[+,-,6,5,3,4] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[-,-,6,5,3,4] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[+,+,6,5,4,3] => [1,2,5,6,3,4] => [6,5,2,1,4,3]
[-,+,6,5,4,3] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[+,-,6,5,4,3] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[-,-,6,5,4,3] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[+,3,2,+,+,+] => [1,3,4,5,6,2] => [6,4,3,2,1,5]
[-,3,2,+,+,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[+,3,2,-,+,+] => [1,3,5,6,2,4] => [6,4,2,1,5,3]
[+,3,2,+,-,+] => [1,3,4,6,2,5] => [6,4,3,1,5,2]
[+,3,2,+,+,-] => [1,3,4,5,2,6] => [6,4,3,2,5,1]
[-,3,2,-,+,+] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[-,3,2,+,-,+] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[-,3,2,+,+,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[+,3,2,-,-,+] => [1,3,6,2,4,5] => [6,4,1,5,3,2]
[+,3,2,-,+,-] => [1,3,5,2,4,6] => [6,4,2,5,3,1]
[+,3,2,+,-,-] => [1,3,4,2,5,6] => [6,4,3,5,2,1]
[-,3,2,-,-,+] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[-,3,2,-,+,-] => [3,5,1,2,4,6] => [4,2,6,5,3,1]
[-,3,2,+,-,-] => [3,4,1,2,5,6] => [4,3,6,5,2,1]
[+,3,2,-,-,-] => [1,3,2,4,5,6] => [6,4,5,3,2,1]
[-,3,2,-,-,-] => [3,1,2,4,5,6] => [4,6,5,3,2,1]
[+,3,2,+,6,5] => [1,3,4,6,2,5] => [6,4,3,1,5,2]
[-,3,2,+,6,5] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[+,3,2,-,6,5] => [1,3,6,2,4,5] => [6,4,1,5,3,2]
[-,3,2,-,6,5] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[+,3,2,5,4,+] => [1,3,5,6,2,4] => [6,4,2,1,5,3]
[-,3,2,5,4,+] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[+,3,2,5,4,-] => [1,3,5,2,4,6] => [6,4,2,5,3,1]
[-,3,2,5,4,-] => [3,5,1,2,4,6] => [4,2,6,5,3,1]
[+,3,2,5,6,4] => [1,3,6,2,4,5] => [6,4,1,5,3,2]
[-,3,2,5,6,4] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[+,3,2,6,4,5] => [1,3,5,6,2,4] => [6,4,2,1,5,3]
[-,3,2,6,4,5] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[+,3,2,6,+,4] => [1,3,5,6,2,4] => [6,4,2,1,5,3]
[-,3,2,6,+,4] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[+,3,2,6,-,4] => [1,3,6,2,4,5] => [6,4,1,5,3,2]
[-,3,2,6,-,4] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[+,3,4,2,+,+] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[-,3,4,2,+,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[+,3,4,2,-,+] => [1,4,6,2,3,5] => [6,3,1,5,4,2]
[+,3,4,2,+,-] => [1,4,5,2,3,6] => [6,3,2,5,4,1]
[-,3,4,2,-,+] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[-,3,4,2,+,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[+,3,4,2,-,-] => [1,4,2,3,5,6] => [6,3,5,4,2,1]
[-,3,4,2,-,-] => [4,1,2,3,5,6] => [3,6,5,4,2,1]
[+,3,4,2,6,5] => [1,4,6,2,3,5] => [6,3,1,5,4,2]
[-,3,4,2,6,5] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[+,3,4,5,2,+] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[-,3,4,5,2,+] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[+,3,4,5,2,-] => [1,5,2,3,4,6] => [6,2,5,4,3,1]
[-,3,4,5,2,-] => [5,1,2,3,4,6] => [2,6,5,4,3,1]
[+,3,4,5,6,2] => [1,6,2,3,4,5] => [6,1,5,4,3,2]
[-,3,4,5,6,2] => [6,1,2,3,4,5] => [1,6,5,4,3,2]
[+,3,4,6,2,5] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[-,3,4,6,2,5] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[+,3,4,6,+,2] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[-,3,4,6,+,2] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[+,3,4,6,-,2] => [1,6,2,3,4,5] => [6,1,5,4,3,2]
[-,3,4,6,-,2] => [6,1,2,3,4,5] => [1,6,5,4,3,2]
[+,3,5,2,4,+] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[-,3,5,2,4,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[+,3,5,2,4,-] => [1,4,5,2,3,6] => [6,3,2,5,4,1]
[-,3,5,2,4,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[+,3,5,2,6,4] => [1,4,6,2,3,5] => [6,3,1,5,4,2]
[-,3,5,2,6,4] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[+,3,5,+,2,+] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[-,3,5,+,2,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[+,3,5,-,2,+] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[+,3,5,+,2,-] => [1,4,5,2,3,6] => [6,3,2,5,4,1]
[-,3,5,-,2,+] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[-,3,5,+,2,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[+,3,5,-,2,-] => [1,5,2,3,4,6] => [6,2,5,4,3,1]
[-,3,5,-,2,-] => [5,1,2,3,4,6] => [2,6,5,4,3,1]
[+,3,5,+,6,2] => [1,4,6,2,3,5] => [6,3,1,5,4,2]
[-,3,5,+,6,2] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[+,3,5,-,6,2] => [1,6,2,3,4,5] => [6,1,5,4,3,2]
[-,3,5,-,6,2] => [6,1,2,3,4,5] => [1,6,5,4,3,2]
[+,3,5,6,2,4] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[-,3,5,6,2,4] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[+,3,5,6,4,2] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[-,3,5,6,4,2] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[+,3,6,2,4,5] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[-,3,6,2,4,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[+,3,6,2,+,4] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[-,3,6,2,+,4] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[+,3,6,2,-,4] => [1,4,6,2,3,5] => [6,3,1,5,4,2]
[-,3,6,2,-,4] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[+,3,6,+,2,5] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[-,3,6,+,2,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[+,3,6,-,2,5] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[-,3,6,-,2,5] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[+,3,6,+,+,2] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[-,3,6,+,+,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[+,3,6,-,+,2] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[+,3,6,+,-,2] => [1,4,6,2,3,5] => [6,3,1,5,4,2]
[-,3,6,-,+,2] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[-,3,6,+,-,2] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[+,3,6,-,-,2] => [1,6,2,3,4,5] => [6,1,5,4,3,2]
[-,3,6,-,-,2] => [6,1,2,3,4,5] => [1,6,5,4,3,2]
[+,3,6,5,2,4] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[-,3,6,5,2,4] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[+,3,6,5,4,2] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[-,3,6,5,4,2] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[+,4,2,3,+,+] => [1,3,4,5,6,2] => [6,4,3,2,1,5]
[-,4,2,3,+,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[+,4,2,3,-,+] => [1,3,4,6,2,5] => [6,4,3,1,5,2]
[+,4,2,3,+,-] => [1,3,4,5,2,6] => [6,4,3,2,5,1]
[-,4,2,3,-,+] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[-,4,2,3,+,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[+,4,2,3,-,-] => [1,3,4,2,5,6] => [6,4,3,5,2,1]
[-,4,2,3,-,-] => [3,4,1,2,5,6] => [4,3,6,5,2,1]
[+,4,2,3,6,5] => [1,3,4,6,2,5] => [6,4,3,1,5,2]
[-,4,2,3,6,5] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[+,4,2,5,3,+] => [1,3,5,6,2,4] => [6,4,2,1,5,3]
[-,4,2,5,3,+] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[+,4,2,5,3,-] => [1,3,5,2,4,6] => [6,4,2,5,3,1]
[-,4,2,5,3,-] => [3,5,1,2,4,6] => [4,2,6,5,3,1]
[+,4,2,5,6,3] => [1,3,6,2,4,5] => [6,4,1,5,3,2]
[-,4,2,5,6,3] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[+,4,2,6,3,5] => [1,3,5,6,2,4] => [6,4,2,1,5,3]
[-,4,2,6,3,5] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[+,4,2,6,+,3] => [1,3,5,6,2,4] => [6,4,2,1,5,3]
[-,4,2,6,+,3] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[+,4,2,6,-,3] => [1,3,6,2,4,5] => [6,4,1,5,3,2]
[-,4,2,6,-,3] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[+,4,+,2,+,+] => [1,3,4,5,6,2] => [6,4,3,2,1,5]
[-,4,+,2,+,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[+,4,-,2,+,+] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[+,4,+,2,-,+] => [1,3,4,6,2,5] => [6,4,3,1,5,2]
[+,4,+,2,+,-] => [1,3,4,5,2,6] => [6,4,3,2,5,1]
[-,4,-,2,+,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[-,4,+,2,-,+] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[-,4,+,2,+,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[+,4,-,2,-,+] => [1,4,6,2,3,5] => [6,3,1,5,4,2]
[+,4,-,2,+,-] => [1,4,5,2,3,6] => [6,3,2,5,4,1]
[+,4,+,2,-,-] => [1,3,4,2,5,6] => [6,4,3,5,2,1]
[-,4,-,2,-,+] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[-,4,-,2,+,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[-,4,+,2,-,-] => [3,4,1,2,5,6] => [4,3,6,5,2,1]
[+,4,-,2,-,-] => [1,4,2,3,5,6] => [6,3,5,4,2,1]
[-,4,-,2,-,-] => [4,1,2,3,5,6] => [3,6,5,4,2,1]
[+,4,+,2,6,5] => [1,3,4,6,2,5] => [6,4,3,1,5,2]
[-,4,+,2,6,5] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[+,4,-,2,6,5] => [1,4,6,2,3,5] => [6,3,1,5,4,2]
[-,4,-,2,6,5] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[+,4,+,5,2,+] => [1,3,5,6,2,4] => [6,4,2,1,5,3]
[-,4,+,5,2,+] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[+,4,-,5,2,+] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[+,4,+,5,2,-] => [1,3,5,2,4,6] => [6,4,2,5,3,1]
[-,4,-,5,2,+] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[-,4,+,5,2,-] => [3,5,1,2,4,6] => [4,2,6,5,3,1]
[+,4,-,5,2,-] => [1,5,2,3,4,6] => [6,2,5,4,3,1]
[-,4,-,5,2,-] => [5,1,2,3,4,6] => [2,6,5,4,3,1]
[+,4,+,5,6,2] => [1,3,6,2,4,5] => [6,4,1,5,3,2]
[-,4,+,5,6,2] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[+,4,-,5,6,2] => [1,6,2,3,4,5] => [6,1,5,4,3,2]
[-,4,-,5,6,2] => [6,1,2,3,4,5] => [1,6,5,4,3,2]
[+,4,+,6,2,5] => [1,3,5,6,2,4] => [6,4,2,1,5,3]
[-,4,+,6,2,5] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[+,4,-,6,2,5] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[-,4,-,6,2,5] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[+,4,+,6,+,2] => [1,3,5,6,2,4] => [6,4,2,1,5,3]
[-,4,+,6,+,2] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[+,4,-,6,+,2] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[+,4,+,6,-,2] => [1,3,6,2,4,5] => [6,4,1,5,3,2]
[-,4,-,6,+,2] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[-,4,+,6,-,2] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[+,4,-,6,-,2] => [1,6,2,3,4,5] => [6,1,5,4,3,2]
[-,4,-,6,-,2] => [6,1,2,3,4,5] => [1,6,5,4,3,2]
[+,4,5,2,3,+] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[-,4,5,2,3,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[+,4,5,2,3,-] => [1,4,5,2,3,6] => [6,3,2,5,4,1]
[-,4,5,2,3,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[+,4,5,2,6,3] => [1,4,6,2,3,5] => [6,3,1,5,4,2]
[-,4,5,2,6,3] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[+,4,5,3,2,+] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[-,4,5,3,2,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[+,4,5,3,2,-] => [1,4,5,2,3,6] => [6,3,2,5,4,1]
[-,4,5,3,2,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[+,4,5,3,6,2] => [1,4,6,2,3,5] => [6,3,1,5,4,2]
[-,4,5,3,6,2] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[+,4,5,6,2,3] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[-,4,5,6,2,3] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[+,4,5,6,3,2] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[-,4,5,6,3,2] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[+,4,6,2,3,5] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[-,4,6,2,3,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[+,4,6,2,+,3] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[-,4,6,2,+,3] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[+,4,6,2,-,3] => [1,4,6,2,3,5] => [6,3,1,5,4,2]
[-,4,6,2,-,3] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[+,4,6,3,2,5] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[-,4,6,3,2,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[+,4,6,3,+,2] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[-,4,6,3,+,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[+,4,6,3,-,2] => [1,4,6,2,3,5] => [6,3,1,5,4,2]
[-,4,6,3,-,2] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[+,4,6,5,2,3] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[-,4,6,5,2,3] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[+,4,6,5,3,2] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[-,4,6,5,3,2] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[+,5,2,3,4,+] => [1,3,4,5,6,2] => [6,4,3,2,1,5]
[-,5,2,3,4,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[+,5,2,3,4,-] => [1,3,4,5,2,6] => [6,4,3,2,5,1]
[-,5,2,3,4,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[+,5,2,3,6,4] => [1,3,4,6,2,5] => [6,4,3,1,5,2]
[-,5,2,3,6,4] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[+,5,2,+,3,+] => [1,3,4,5,6,2] => [6,4,3,2,1,5]
[-,5,2,+,3,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[+,5,2,-,3,+] => [1,3,5,6,2,4] => [6,4,2,1,5,3]
[+,5,2,+,3,-] => [1,3,4,5,2,6] => [6,4,3,2,5,1]
[-,5,2,-,3,+] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[-,5,2,+,3,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[+,5,2,-,3,-] => [1,3,5,2,4,6] => [6,4,2,5,3,1]
[-,5,2,-,3,-] => [3,5,1,2,4,6] => [4,2,6,5,3,1]
[+,5,2,+,6,3] => [1,3,4,6,2,5] => [6,4,3,1,5,2]
[-,5,2,+,6,3] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[+,5,2,-,6,3] => [1,3,6,2,4,5] => [6,4,1,5,3,2]
[-,5,2,-,6,3] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[+,5,2,6,3,4] => [1,3,5,6,2,4] => [6,4,2,1,5,3]
[-,5,2,6,3,4] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[+,5,2,6,4,3] => [1,3,5,6,2,4] => [6,4,2,1,5,3]
[-,5,2,6,4,3] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[+,5,+,2,4,+] => [1,3,4,5,6,2] => [6,4,3,2,1,5]
[-,5,+,2,4,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[+,5,-,2,4,+] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[+,5,+,2,4,-] => [1,3,4,5,2,6] => [6,4,3,2,5,1]
[-,5,-,2,4,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[-,5,+,2,4,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[+,5,-,2,4,-] => [1,4,5,2,3,6] => [6,3,2,5,4,1]
[-,5,-,2,4,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[+,5,+,2,6,4] => [1,3,4,6,2,5] => [6,4,3,1,5,2]
[-,5,+,2,6,4] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[+,5,-,2,6,4] => [1,4,6,2,3,5] => [6,3,1,5,4,2]
[-,5,-,2,6,4] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[+,5,+,+,2,+] => [1,3,4,5,6,2] => [6,4,3,2,1,5]
[-,5,+,+,2,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[+,5,-,+,2,+] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[+,5,+,-,2,+] => [1,3,5,6,2,4] => [6,4,2,1,5,3]
[+,5,+,+,2,-] => [1,3,4,5,2,6] => [6,4,3,2,5,1]
[-,5,-,+,2,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[-,5,+,-,2,+] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[-,5,+,+,2,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[+,5,-,-,2,+] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[+,5,-,+,2,-] => [1,4,5,2,3,6] => [6,3,2,5,4,1]
[+,5,+,-,2,-] => [1,3,5,2,4,6] => [6,4,2,5,3,1]
[-,5,-,-,2,+] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[-,5,-,+,2,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[-,5,+,-,2,-] => [3,5,1,2,4,6] => [4,2,6,5,3,1]
[+,5,-,-,2,-] => [1,5,2,3,4,6] => [6,2,5,4,3,1]
[-,5,-,-,2,-] => [5,1,2,3,4,6] => [2,6,5,4,3,1]
[+,5,+,+,6,2] => [1,3,4,6,2,5] => [6,4,3,1,5,2]
[-,5,+,+,6,2] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[+,5,-,+,6,2] => [1,4,6,2,3,5] => [6,3,1,5,4,2]
[+,5,+,-,6,2] => [1,3,6,2,4,5] => [6,4,1,5,3,2]
[-,5,-,+,6,2] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[-,5,+,-,6,2] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[+,5,-,-,6,2] => [1,6,2,3,4,5] => [6,1,5,4,3,2]
[-,5,-,-,6,2] => [6,1,2,3,4,5] => [1,6,5,4,3,2]
[+,5,+,6,2,4] => [1,3,5,6,2,4] => [6,4,2,1,5,3]
[-,5,+,6,2,4] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[+,5,-,6,2,4] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[-,5,-,6,2,4] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[+,5,+,6,4,2] => [1,3,5,6,2,4] => [6,4,2,1,5,3]
[-,5,+,6,4,2] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[+,5,-,6,4,2] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[-,5,-,6,4,2] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[+,5,4,2,3,+] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[-,5,4,2,3,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[+,5,4,2,3,-] => [1,4,5,2,3,6] => [6,3,2,5,4,1]
[-,5,4,2,3,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[+,5,4,2,6,3] => [1,4,6,2,3,5] => [6,3,1,5,4,2]
[-,5,4,2,6,3] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[+,5,4,3,2,+] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[-,5,4,3,2,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[+,5,4,3,2,-] => [1,4,5,2,3,6] => [6,3,2,5,4,1]
[-,5,4,3,2,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[+,5,4,3,6,2] => [1,4,6,2,3,5] => [6,3,1,5,4,2]
[-,5,4,3,6,2] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[+,5,4,6,2,3] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[-,5,4,6,2,3] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[+,5,4,6,3,2] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[-,5,4,6,3,2] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[+,5,6,2,3,4] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[-,5,6,2,3,4] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[+,5,6,2,4,3] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[-,5,6,2,4,3] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[+,5,6,3,2,4] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[-,5,6,3,2,4] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[+,5,6,3,4,2] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[-,5,6,3,4,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[+,5,6,+,2,3] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[-,5,6,+,2,3] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[+,5,6,-,2,3] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[-,5,6,-,2,3] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[+,5,6,+,3,2] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[-,5,6,+,3,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[+,5,6,-,3,2] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[-,5,6,-,3,2] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[+,6,2,3,4,5] => [1,3,4,5,6,2] => [6,4,3,2,1,5]
[-,6,2,3,4,5] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[+,6,2,3,+,4] => [1,3,4,5,6,2] => [6,4,3,2,1,5]
[-,6,2,3,+,4] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[+,6,2,3,-,4] => [1,3,4,6,2,5] => [6,4,3,1,5,2]
[-,6,2,3,-,4] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[+,6,2,+,3,5] => [1,3,4,5,6,2] => [6,4,3,2,1,5]
[-,6,2,+,3,5] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[+,6,2,-,3,5] => [1,3,5,6,2,4] => [6,4,2,1,5,3]
[-,6,2,-,3,5] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[+,6,2,+,+,3] => [1,3,4,5,6,2] => [6,4,3,2,1,5]
[-,6,2,+,+,3] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[+,6,2,-,+,3] => [1,3,5,6,2,4] => [6,4,2,1,5,3]
[+,6,2,+,-,3] => [1,3,4,6,2,5] => [6,4,3,1,5,2]
[-,6,2,-,+,3] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[-,6,2,+,-,3] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[+,6,2,-,-,3] => [1,3,6,2,4,5] => [6,4,1,5,3,2]
[-,6,2,-,-,3] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[+,6,2,5,3,4] => [1,3,5,6,2,4] => [6,4,2,1,5,3]
[-,6,2,5,3,4] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[+,6,2,5,4,3] => [1,3,5,6,2,4] => [6,4,2,1,5,3]
[-,6,2,5,4,3] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[+,6,+,2,4,5] => [1,3,4,5,6,2] => [6,4,3,2,1,5]
[-,6,+,2,4,5] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[+,6,-,2,4,5] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[-,6,-,2,4,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[+,6,+,2,+,4] => [1,3,4,5,6,2] => [6,4,3,2,1,5]
[-,6,+,2,+,4] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[+,6,-,2,+,4] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[+,6,+,2,-,4] => [1,3,4,6,2,5] => [6,4,3,1,5,2]
[-,6,-,2,+,4] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[-,6,+,2,-,4] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[+,6,-,2,-,4] => [1,4,6,2,3,5] => [6,3,1,5,4,2]
[-,6,-,2,-,4] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[+,6,+,+,2,5] => [1,3,4,5,6,2] => [6,4,3,2,1,5]
[-,6,+,+,2,5] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[+,6,-,+,2,5] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[+,6,+,-,2,5] => [1,3,5,6,2,4] => [6,4,2,1,5,3]
[-,6,-,+,2,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[-,6,+,-,2,5] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[+,6,-,-,2,5] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[-,6,-,-,2,5] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[+,6,+,+,+,2] => [1,3,4,5,6,2] => [6,4,3,2,1,5]
[-,6,+,+,+,2] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[+,6,-,+,+,2] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[+,6,+,-,+,2] => [1,3,5,6,2,4] => [6,4,2,1,5,3]
[+,6,+,+,-,2] => [1,3,4,6,2,5] => [6,4,3,1,5,2]
[-,6,-,+,+,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[-,6,+,-,+,2] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[-,6,+,+,-,2] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[+,6,-,-,+,2] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[+,6,-,+,-,2] => [1,4,6,2,3,5] => [6,3,1,5,4,2]
[+,6,+,-,-,2] => [1,3,6,2,4,5] => [6,4,1,5,3,2]
[-,6,-,-,+,2] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[-,6,-,+,-,2] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[-,6,+,-,-,2] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[+,6,-,-,-,2] => [1,6,2,3,4,5] => [6,1,5,4,3,2]
[-,6,-,-,-,2] => [6,1,2,3,4,5] => [1,6,5,4,3,2]
[+,6,+,5,2,4] => [1,3,5,6,2,4] => [6,4,2,1,5,3]
[-,6,+,5,2,4] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[+,6,-,5,2,4] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[-,6,-,5,2,4] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[+,6,+,5,4,2] => [1,3,5,6,2,4] => [6,4,2,1,5,3]
[-,6,+,5,4,2] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[+,6,-,5,4,2] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[-,6,-,5,4,2] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[+,6,4,2,3,5] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[-,6,4,2,3,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[+,6,4,2,+,3] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[-,6,4,2,+,3] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[+,6,4,2,-,3] => [1,4,6,2,3,5] => [6,3,1,5,4,2]
[-,6,4,2,-,3] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[+,6,4,3,2,5] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[-,6,4,3,2,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[+,6,4,3,+,2] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[-,6,4,3,+,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[+,6,4,3,-,2] => [1,4,6,2,3,5] => [6,3,1,5,4,2]
[-,6,4,3,-,2] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[+,6,4,5,2,3] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[-,6,4,5,2,3] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[+,6,4,5,3,2] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[-,6,4,5,3,2] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[+,6,5,2,3,4] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[-,6,5,2,3,4] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[+,6,5,2,4,3] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[-,6,5,2,4,3] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[+,6,5,3,2,4] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[-,6,5,3,2,4] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[+,6,5,3,4,2] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[-,6,5,3,4,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[+,6,5,+,2,3] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[-,6,5,+,2,3] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[+,6,5,-,2,3] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[-,6,5,-,2,3] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[+,6,5,+,3,2] => [1,4,5,6,2,3] => [6,3,2,1,5,4]
[-,6,5,+,3,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[+,6,5,-,3,2] => [1,5,6,2,3,4] => [6,2,1,5,4,3]
[-,6,5,-,3,2] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[2,1,+,+,+,+] => [2,3,4,5,6,1] => [5,4,3,2,1,6]
[2,1,-,+,+,+] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[2,1,+,-,+,+] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[2,1,+,+,-,+] => [2,3,4,6,1,5] => [5,4,3,1,6,2]
[2,1,+,+,+,-] => [2,3,4,5,1,6] => [5,4,3,2,6,1]
[2,1,-,-,+,+] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[2,1,-,+,-,+] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[2,1,-,+,+,-] => [2,4,5,1,3,6] => [5,3,2,6,4,1]
[2,1,+,-,-,+] => [2,3,6,1,4,5] => [5,4,1,6,3,2]
[2,1,+,-,+,-] => [2,3,5,1,4,6] => [5,4,2,6,3,1]
[2,1,+,+,-,-] => [2,3,4,1,5,6] => [5,4,3,6,2,1]
[2,1,-,-,-,+] => [2,6,1,3,4,5] => [5,1,6,4,3,2]
[2,1,-,-,+,-] => [2,5,1,3,4,6] => [5,2,6,4,3,1]
[2,1,-,+,-,-] => [2,4,1,3,5,6] => [5,3,6,4,2,1]
[2,1,+,-,-,-] => [2,3,1,4,5,6] => [5,4,6,3,2,1]
[2,1,-,-,-,-] => [2,1,3,4,5,6] => [5,6,4,3,2,1]
[2,1,+,+,6,5] => [2,3,4,6,1,5] => [5,4,3,1,6,2]
[2,1,-,+,6,5] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[2,1,+,-,6,5] => [2,3,6,1,4,5] => [5,4,1,6,3,2]
[2,1,-,-,6,5] => [2,6,1,3,4,5] => [5,1,6,4,3,2]
[2,1,+,5,4,+] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[2,1,-,5,4,+] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[2,1,+,5,4,-] => [2,3,5,1,4,6] => [5,4,2,6,3,1]
[2,1,-,5,4,-] => [2,5,1,3,4,6] => [5,2,6,4,3,1]
[2,1,+,5,6,4] => [2,3,6,1,4,5] => [5,4,1,6,3,2]
[2,1,-,5,6,4] => [2,6,1,3,4,5] => [5,1,6,4,3,2]
[2,1,+,6,4,5] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[2,1,-,6,4,5] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[2,1,+,6,+,4] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[2,1,-,6,+,4] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[2,1,+,6,-,4] => [2,3,6,1,4,5] => [5,4,1,6,3,2]
[2,1,-,6,-,4] => [2,6,1,3,4,5] => [5,1,6,4,3,2]
[2,1,4,3,+,+] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[2,1,4,3,-,+] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[2,1,4,3,+,-] => [2,4,5,1,3,6] => [5,3,2,6,4,1]
[2,1,4,3,-,-] => [2,4,1,3,5,6] => [5,3,6,4,2,1]
[2,1,4,3,6,5] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[2,1,4,5,3,+] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[2,1,4,5,3,-] => [2,5,1,3,4,6] => [5,2,6,4,3,1]
[2,1,4,5,6,3] => [2,6,1,3,4,5] => [5,1,6,4,3,2]
[2,1,4,6,3,5] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[2,1,4,6,+,3] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[2,1,4,6,-,3] => [2,6,1,3,4,5] => [5,1,6,4,3,2]
[2,1,5,3,4,+] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[2,1,5,3,4,-] => [2,4,5,1,3,6] => [5,3,2,6,4,1]
[2,1,5,3,6,4] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[2,1,5,+,3,+] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[2,1,5,-,3,+] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[2,1,5,+,3,-] => [2,4,5,1,3,6] => [5,3,2,6,4,1]
[2,1,5,-,3,-] => [2,5,1,3,4,6] => [5,2,6,4,3,1]
[2,1,5,+,6,3] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[2,1,5,-,6,3] => [2,6,1,3,4,5] => [5,1,6,4,3,2]
[2,1,5,6,3,4] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[2,1,5,6,4,3] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[2,1,6,3,4,5] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[2,1,6,3,+,4] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[2,1,6,3,-,4] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[2,1,6,+,3,5] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[2,1,6,-,3,5] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[2,1,6,+,+,3] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[2,1,6,-,+,3] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[2,1,6,+,-,3] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[2,1,6,-,-,3] => [2,6,1,3,4,5] => [5,1,6,4,3,2]
[2,1,6,5,3,4] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[2,1,6,5,4,3] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[2,3,1,+,+,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[2,3,1,-,+,+] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[2,3,1,+,-,+] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[2,3,1,+,+,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[2,3,1,-,-,+] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[2,3,1,-,+,-] => [3,5,1,2,4,6] => [4,2,6,5,3,1]
[2,3,1,+,-,-] => [3,4,1,2,5,6] => [4,3,6,5,2,1]
[2,3,1,-,-,-] => [3,1,2,4,5,6] => [4,6,5,3,2,1]
[2,3,1,+,6,5] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[2,3,1,-,6,5] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[2,3,1,5,4,+] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[2,3,1,5,4,-] => [3,5,1,2,4,6] => [4,2,6,5,3,1]
[2,3,1,5,6,4] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[2,3,1,6,4,5] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[2,3,1,6,+,4] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[2,3,1,6,-,4] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[2,3,4,1,+,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,3,4,1,-,+] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[2,3,4,1,+,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[2,3,4,1,-,-] => [4,1,2,3,5,6] => [3,6,5,4,2,1]
[2,3,4,1,6,5] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[2,3,4,5,1,+] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[2,3,4,5,1,-] => [5,1,2,3,4,6] => [2,6,5,4,3,1]
[2,3,4,5,6,1] => [6,1,2,3,4,5] => [1,6,5,4,3,2]
[2,3,4,6,1,5] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[2,3,4,6,+,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[2,3,4,6,-,1] => [6,1,2,3,4,5] => [1,6,5,4,3,2]
[2,3,5,1,4,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,3,5,1,4,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[2,3,5,1,6,4] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[2,3,5,+,1,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,3,5,-,1,+] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[2,3,5,+,1,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[2,3,5,-,1,-] => [5,1,2,3,4,6] => [2,6,5,4,3,1]
[2,3,5,+,6,1] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[2,3,5,-,6,1] => [6,1,2,3,4,5] => [1,6,5,4,3,2]
[2,3,5,6,1,4] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[2,3,5,6,4,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[2,3,6,1,4,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,3,6,1,+,4] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,3,6,1,-,4] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[2,3,6,+,1,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,3,6,-,1,5] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[2,3,6,+,+,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,3,6,-,+,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[2,3,6,+,-,1] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[2,3,6,-,-,1] => [6,1,2,3,4,5] => [1,6,5,4,3,2]
[2,3,6,5,1,4] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[2,3,6,5,4,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[2,4,1,3,+,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[2,4,1,3,-,+] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[2,4,1,3,+,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[2,4,1,3,-,-] => [3,4,1,2,5,6] => [4,3,6,5,2,1]
[2,4,1,3,6,5] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[2,4,1,5,3,+] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[2,4,1,5,3,-] => [3,5,1,2,4,6] => [4,2,6,5,3,1]
[2,4,1,5,6,3] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[2,4,1,6,3,5] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[2,4,1,6,+,3] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[2,4,1,6,-,3] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[2,4,+,1,+,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[2,4,-,1,+,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,4,+,1,-,+] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[2,4,+,1,+,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[2,4,-,1,-,+] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[2,4,-,1,+,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[2,4,+,1,-,-] => [3,4,1,2,5,6] => [4,3,6,5,2,1]
[2,4,-,1,-,-] => [4,1,2,3,5,6] => [3,6,5,4,2,1]
[2,4,+,1,6,5] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[2,4,-,1,6,5] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[2,4,+,5,1,+] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[2,4,-,5,1,+] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[2,4,+,5,1,-] => [3,5,1,2,4,6] => [4,2,6,5,3,1]
[2,4,-,5,1,-] => [5,1,2,3,4,6] => [2,6,5,4,3,1]
[2,4,+,5,6,1] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[2,4,-,5,6,1] => [6,1,2,3,4,5] => [1,6,5,4,3,2]
[2,4,+,6,1,5] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[2,4,-,6,1,5] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[2,4,+,6,+,1] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[2,4,-,6,+,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[2,4,+,6,-,1] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[2,4,-,6,-,1] => [6,1,2,3,4,5] => [1,6,5,4,3,2]
[2,4,5,1,3,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,4,5,1,3,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[2,4,5,1,6,3] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[2,4,5,3,1,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,4,5,3,1,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[2,4,5,3,6,1] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[2,4,5,6,1,3] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[2,4,5,6,3,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[2,4,6,1,3,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,4,6,1,+,3] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,4,6,1,-,3] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[2,4,6,3,1,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,4,6,3,+,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,4,6,3,-,1] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[2,4,6,5,1,3] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[2,4,6,5,3,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[2,5,1,3,4,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[2,5,1,3,4,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[2,5,1,3,6,4] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[2,5,1,+,3,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[2,5,1,-,3,+] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[2,5,1,+,3,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[2,5,1,-,3,-] => [3,5,1,2,4,6] => [4,2,6,5,3,1]
[2,5,1,+,6,3] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[2,5,1,-,6,3] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[2,5,1,6,3,4] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[2,5,1,6,4,3] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[2,5,+,1,4,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[2,5,-,1,4,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,5,+,1,4,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[2,5,-,1,4,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[2,5,+,1,6,4] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[2,5,-,1,6,4] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[2,5,+,+,1,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[2,5,-,+,1,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,5,+,-,1,+] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[2,5,+,+,1,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[2,5,-,-,1,+] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[2,5,-,+,1,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[2,5,+,-,1,-] => [3,5,1,2,4,6] => [4,2,6,5,3,1]
[2,5,-,-,1,-] => [5,1,2,3,4,6] => [2,6,5,4,3,1]
[2,5,+,+,6,1] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[2,5,-,+,6,1] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[2,5,+,-,6,1] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[2,5,-,-,6,1] => [6,1,2,3,4,5] => [1,6,5,4,3,2]
[2,5,+,6,1,4] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[2,5,-,6,1,4] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[2,5,+,6,4,1] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[2,5,-,6,4,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[2,5,4,1,3,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,5,4,1,3,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[2,5,4,1,6,3] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[2,5,4,3,1,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,5,4,3,1,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[2,5,4,3,6,1] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[2,5,4,6,1,3] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[2,5,4,6,3,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[2,5,6,1,3,4] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,5,6,1,4,3] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,5,6,3,1,4] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,5,6,3,4,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,5,6,+,1,3] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,5,6,-,1,3] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[2,5,6,+,3,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,5,6,-,3,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[2,6,1,3,4,5] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[2,6,1,3,+,4] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[2,6,1,3,-,4] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[2,6,1,+,3,5] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[2,6,1,-,3,5] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[2,6,1,+,+,3] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[2,6,1,-,+,3] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[2,6,1,+,-,3] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[2,6,1,-,-,3] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[2,6,1,5,3,4] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[2,6,1,5,4,3] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[2,6,+,1,4,5] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[2,6,-,1,4,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,6,+,1,+,4] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[2,6,-,1,+,4] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,6,+,1,-,4] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[2,6,-,1,-,4] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[2,6,+,+,1,5] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[2,6,-,+,1,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,6,+,-,1,5] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[2,6,-,-,1,5] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[2,6,+,+,+,1] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[2,6,-,+,+,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,6,+,-,+,1] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[2,6,+,+,-,1] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[2,6,-,-,+,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[2,6,-,+,-,1] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[2,6,+,-,-,1] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[2,6,-,-,-,1] => [6,1,2,3,4,5] => [1,6,5,4,3,2]
[2,6,+,5,1,4] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[2,6,-,5,1,4] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[2,6,+,5,4,1] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[2,6,-,5,4,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[2,6,4,1,3,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,6,4,1,+,3] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,6,4,1,-,3] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[2,6,4,3,1,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,6,4,3,+,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,6,4,3,-,1] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[2,6,4,5,1,3] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[2,6,4,5,3,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[2,6,5,1,3,4] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,6,5,1,4,3] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,6,5,3,1,4] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,6,5,3,4,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,6,5,+,1,3] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,6,5,-,1,3] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[2,6,5,+,3,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[2,6,5,-,3,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[3,1,2,+,+,+] => [2,3,4,5,6,1] => [5,4,3,2,1,6]
[3,1,2,-,+,+] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[3,1,2,+,-,+] => [2,3,4,6,1,5] => [5,4,3,1,6,2]
[3,1,2,+,+,-] => [2,3,4,5,1,6] => [5,4,3,2,6,1]
[3,1,2,-,-,+] => [2,3,6,1,4,5] => [5,4,1,6,3,2]
[3,1,2,-,+,-] => [2,3,5,1,4,6] => [5,4,2,6,3,1]
[3,1,2,+,-,-] => [2,3,4,1,5,6] => [5,4,3,6,2,1]
[3,1,2,-,-,-] => [2,3,1,4,5,6] => [5,4,6,3,2,1]
[3,1,2,+,6,5] => [2,3,4,6,1,5] => [5,4,3,1,6,2]
[3,1,2,-,6,5] => [2,3,6,1,4,5] => [5,4,1,6,3,2]
[3,1,2,5,4,+] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[3,1,2,5,4,-] => [2,3,5,1,4,6] => [5,4,2,6,3,1]
[3,1,2,5,6,4] => [2,3,6,1,4,5] => [5,4,1,6,3,2]
[3,1,2,6,4,5] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[3,1,2,6,+,4] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[3,1,2,6,-,4] => [2,3,6,1,4,5] => [5,4,1,6,3,2]
[3,1,4,2,+,+] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[3,1,4,2,-,+] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[3,1,4,2,+,-] => [2,4,5,1,3,6] => [5,3,2,6,4,1]
[3,1,4,2,-,-] => [2,4,1,3,5,6] => [5,3,6,4,2,1]
[3,1,4,2,6,5] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[3,1,4,5,2,+] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[3,1,4,5,2,-] => [2,5,1,3,4,6] => [5,2,6,4,3,1]
[3,1,4,5,6,2] => [2,6,1,3,4,5] => [5,1,6,4,3,2]
[3,1,4,6,2,5] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[3,1,4,6,+,2] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[3,1,4,6,-,2] => [2,6,1,3,4,5] => [5,1,6,4,3,2]
[3,1,5,2,4,+] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[3,1,5,2,4,-] => [2,4,5,1,3,6] => [5,3,2,6,4,1]
[3,1,5,2,6,4] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[3,1,5,+,2,+] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[3,1,5,-,2,+] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[3,1,5,+,2,-] => [2,4,5,1,3,6] => [5,3,2,6,4,1]
[3,1,5,-,2,-] => [2,5,1,3,4,6] => [5,2,6,4,3,1]
[3,1,5,+,6,2] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[3,1,5,-,6,2] => [2,6,1,3,4,5] => [5,1,6,4,3,2]
[3,1,5,6,2,4] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[3,1,5,6,4,2] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[3,1,6,2,4,5] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[3,1,6,2,+,4] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[3,1,6,2,-,4] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[3,1,6,+,2,5] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[3,1,6,-,2,5] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[3,1,6,+,+,2] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[3,1,6,-,+,2] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[3,1,6,+,-,2] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[3,1,6,-,-,2] => [2,6,1,3,4,5] => [5,1,6,4,3,2]
[3,1,6,5,2,4] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[3,1,6,5,4,2] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[3,+,1,+,+,+] => [2,3,4,5,6,1] => [5,4,3,2,1,6]
[3,-,1,+,+,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[3,+,1,-,+,+] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[3,+,1,+,-,+] => [2,3,4,6,1,5] => [5,4,3,1,6,2]
[3,+,1,+,+,-] => [2,3,4,5,1,6] => [5,4,3,2,6,1]
[3,-,1,-,+,+] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[3,-,1,+,-,+] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[3,-,1,+,+,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[3,+,1,-,-,+] => [2,3,6,1,4,5] => [5,4,1,6,3,2]
[3,+,1,-,+,-] => [2,3,5,1,4,6] => [5,4,2,6,3,1]
[3,+,1,+,-,-] => [2,3,4,1,5,6] => [5,4,3,6,2,1]
[3,-,1,-,-,+] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[3,-,1,-,+,-] => [3,5,1,2,4,6] => [4,2,6,5,3,1]
[3,-,1,+,-,-] => [3,4,1,2,5,6] => [4,3,6,5,2,1]
[3,+,1,-,-,-] => [2,3,1,4,5,6] => [5,4,6,3,2,1]
[3,-,1,-,-,-] => [3,1,2,4,5,6] => [4,6,5,3,2,1]
[3,+,1,+,6,5] => [2,3,4,6,1,5] => [5,4,3,1,6,2]
[3,-,1,+,6,5] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[3,+,1,-,6,5] => [2,3,6,1,4,5] => [5,4,1,6,3,2]
[3,-,1,-,6,5] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[3,+,1,5,4,+] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[3,-,1,5,4,+] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[3,+,1,5,4,-] => [2,3,5,1,4,6] => [5,4,2,6,3,1]
[3,-,1,5,4,-] => [3,5,1,2,4,6] => [4,2,6,5,3,1]
[3,+,1,5,6,4] => [2,3,6,1,4,5] => [5,4,1,6,3,2]
[3,-,1,5,6,4] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[3,+,1,6,4,5] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[3,-,1,6,4,5] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[3,+,1,6,+,4] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[3,-,1,6,+,4] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[3,+,1,6,-,4] => [2,3,6,1,4,5] => [5,4,1,6,3,2]
[3,-,1,6,-,4] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[3,+,4,1,+,+] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[3,-,4,1,+,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[3,+,4,1,-,+] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[3,+,4,1,+,-] => [2,4,5,1,3,6] => [5,3,2,6,4,1]
[3,-,4,1,-,+] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[3,-,4,1,+,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[3,+,4,1,-,-] => [2,4,1,3,5,6] => [5,3,6,4,2,1]
[3,-,4,1,-,-] => [4,1,2,3,5,6] => [3,6,5,4,2,1]
[3,+,4,1,6,5] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[3,-,4,1,6,5] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[3,+,4,5,1,+] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[3,-,4,5,1,+] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[3,+,4,5,1,-] => [2,5,1,3,4,6] => [5,2,6,4,3,1]
[3,-,4,5,1,-] => [5,1,2,3,4,6] => [2,6,5,4,3,1]
[3,+,4,5,6,1] => [2,6,1,3,4,5] => [5,1,6,4,3,2]
[3,-,4,5,6,1] => [6,1,2,3,4,5] => [1,6,5,4,3,2]
[3,+,4,6,1,5] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[3,-,4,6,1,5] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[3,+,4,6,+,1] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[3,-,4,6,+,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[3,+,4,6,-,1] => [2,6,1,3,4,5] => [5,1,6,4,3,2]
[3,-,4,6,-,1] => [6,1,2,3,4,5] => [1,6,5,4,3,2]
[3,+,5,1,4,+] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[3,-,5,1,4,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[3,+,5,1,4,-] => [2,4,5,1,3,6] => [5,3,2,6,4,1]
[3,-,5,1,4,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[3,+,5,1,6,4] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[3,-,5,1,6,4] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[3,+,5,+,1,+] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[3,-,5,+,1,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[3,+,5,-,1,+] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[3,+,5,+,1,-] => [2,4,5,1,3,6] => [5,3,2,6,4,1]
[3,-,5,-,1,+] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[3,-,5,+,1,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[3,+,5,-,1,-] => [2,5,1,3,4,6] => [5,2,6,4,3,1]
[3,-,5,-,1,-] => [5,1,2,3,4,6] => [2,6,5,4,3,1]
[3,+,5,+,6,1] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[3,-,5,+,6,1] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[3,+,5,-,6,1] => [2,6,1,3,4,5] => [5,1,6,4,3,2]
[3,-,5,-,6,1] => [6,1,2,3,4,5] => [1,6,5,4,3,2]
[3,+,5,6,1,4] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[3,-,5,6,1,4] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[3,+,5,6,4,1] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[3,-,5,6,4,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[3,+,6,1,4,5] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[3,-,6,1,4,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[3,+,6,1,+,4] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[3,-,6,1,+,4] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[3,+,6,1,-,4] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[3,-,6,1,-,4] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[3,+,6,+,1,5] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[3,-,6,+,1,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[3,+,6,-,1,5] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[3,-,6,-,1,5] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[3,+,6,+,+,1] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[3,-,6,+,+,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[3,+,6,-,+,1] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[3,+,6,+,-,1] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[3,-,6,-,+,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[3,-,6,+,-,1] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[3,+,6,-,-,1] => [2,6,1,3,4,5] => [5,1,6,4,3,2]
[3,-,6,-,-,1] => [6,1,2,3,4,5] => [1,6,5,4,3,2]
[3,+,6,5,1,4] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[3,-,6,5,1,4] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[3,+,6,5,4,1] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[3,-,6,5,4,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[3,4,1,2,+,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[3,4,1,2,-,+] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[3,4,1,2,+,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[3,4,1,2,-,-] => [3,4,1,2,5,6] => [4,3,6,5,2,1]
[3,4,1,2,6,5] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[3,4,1,5,2,+] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[3,4,1,5,2,-] => [3,5,1,2,4,6] => [4,2,6,5,3,1]
[3,4,1,5,6,2] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[3,4,1,6,2,5] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[3,4,1,6,+,2] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[3,4,1,6,-,2] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[3,4,2,1,+,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[3,4,2,1,-,+] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[3,4,2,1,+,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[3,4,2,1,-,-] => [3,4,1,2,5,6] => [4,3,6,5,2,1]
[3,4,2,1,6,5] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[3,4,2,5,1,+] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[3,4,2,5,1,-] => [3,5,1,2,4,6] => [4,2,6,5,3,1]
[3,4,2,5,6,1] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[3,4,2,6,1,5] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[3,4,2,6,+,1] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[3,4,2,6,-,1] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[3,4,5,1,2,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[3,4,5,1,2,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[3,4,5,1,6,2] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[3,4,5,2,1,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[3,4,5,2,1,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[3,4,5,2,6,1] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[3,4,5,6,1,2] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[3,4,5,6,2,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[3,4,6,1,2,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[3,4,6,1,+,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[3,4,6,1,-,2] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[3,4,6,2,1,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[3,4,6,2,+,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[3,4,6,2,-,1] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[3,4,6,5,1,2] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[3,4,6,5,2,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[3,5,1,2,4,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[3,5,1,2,4,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[3,5,1,2,6,4] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[3,5,1,+,2,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[3,5,1,-,2,+] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[3,5,1,+,2,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[3,5,1,-,2,-] => [3,5,1,2,4,6] => [4,2,6,5,3,1]
[3,5,1,+,6,2] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[3,5,1,-,6,2] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[3,5,1,6,2,4] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[3,5,1,6,4,2] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[3,5,2,1,4,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[3,5,2,1,4,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[3,5,2,1,6,4] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[3,5,2,+,1,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[3,5,2,-,1,+] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[3,5,2,+,1,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[3,5,2,-,1,-] => [3,5,1,2,4,6] => [4,2,6,5,3,1]
[3,5,2,+,6,1] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[3,5,2,-,6,1] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[3,5,2,6,1,4] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[3,5,2,6,4,1] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[3,5,4,1,2,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[3,5,4,1,2,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[3,5,4,1,6,2] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[3,5,4,2,1,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[3,5,4,2,1,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[3,5,4,2,6,1] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[3,5,4,6,1,2] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[3,5,4,6,2,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[3,5,6,1,2,4] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[3,5,6,1,4,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[3,5,6,2,1,4] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[3,5,6,2,4,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[3,5,6,+,1,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[3,5,6,-,1,2] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[3,5,6,+,2,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[3,5,6,-,2,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[3,6,1,2,4,5] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[3,6,1,2,+,4] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[3,6,1,2,-,4] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[3,6,1,+,2,5] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[3,6,1,-,2,5] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[3,6,1,+,+,2] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[3,6,1,-,+,2] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[3,6,1,+,-,2] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[3,6,1,-,-,2] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[3,6,1,5,2,4] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[3,6,1,5,4,2] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[3,6,2,1,4,5] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[3,6,2,1,+,4] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[3,6,2,1,-,4] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[3,6,2,+,1,5] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[3,6,2,-,1,5] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[3,6,2,+,+,1] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[3,6,2,-,+,1] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[3,6,2,+,-,1] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[3,6,2,-,-,1] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[3,6,2,5,1,4] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[3,6,2,5,4,1] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[3,6,4,1,2,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[3,6,4,1,+,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[3,6,4,1,-,2] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[3,6,4,2,1,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[3,6,4,2,+,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[3,6,4,2,-,1] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[3,6,4,5,1,2] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[3,6,4,5,2,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[3,6,5,1,2,4] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[3,6,5,1,4,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[3,6,5,2,1,4] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[3,6,5,2,4,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[3,6,5,+,1,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[3,6,5,-,1,2] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[3,6,5,+,2,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[3,6,5,-,2,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[4,1,2,3,+,+] => [2,3,4,5,6,1] => [5,4,3,2,1,6]
[4,1,2,3,-,+] => [2,3,4,6,1,5] => [5,4,3,1,6,2]
[4,1,2,3,+,-] => [2,3,4,5,1,6] => [5,4,3,2,6,1]
[4,1,2,3,-,-] => [2,3,4,1,5,6] => [5,4,3,6,2,1]
[4,1,2,3,6,5] => [2,3,4,6,1,5] => [5,4,3,1,6,2]
[4,1,2,5,3,+] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[4,1,2,5,3,-] => [2,3,5,1,4,6] => [5,4,2,6,3,1]
[4,1,2,5,6,3] => [2,3,6,1,4,5] => [5,4,1,6,3,2]
[4,1,2,6,3,5] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[4,1,2,6,+,3] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[4,1,2,6,-,3] => [2,3,6,1,4,5] => [5,4,1,6,3,2]
[4,1,+,2,+,+] => [2,3,4,5,6,1] => [5,4,3,2,1,6]
[4,1,-,2,+,+] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[4,1,+,2,-,+] => [2,3,4,6,1,5] => [5,4,3,1,6,2]
[4,1,+,2,+,-] => [2,3,4,5,1,6] => [5,4,3,2,6,1]
[4,1,-,2,-,+] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[4,1,-,2,+,-] => [2,4,5,1,3,6] => [5,3,2,6,4,1]
[4,1,+,2,-,-] => [2,3,4,1,5,6] => [5,4,3,6,2,1]
[4,1,-,2,-,-] => [2,4,1,3,5,6] => [5,3,6,4,2,1]
[4,1,+,2,6,5] => [2,3,4,6,1,5] => [5,4,3,1,6,2]
[4,1,-,2,6,5] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[4,1,+,5,2,+] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[4,1,-,5,2,+] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[4,1,+,5,2,-] => [2,3,5,1,4,6] => [5,4,2,6,3,1]
[4,1,-,5,2,-] => [2,5,1,3,4,6] => [5,2,6,4,3,1]
[4,1,+,5,6,2] => [2,3,6,1,4,5] => [5,4,1,6,3,2]
[4,1,-,5,6,2] => [2,6,1,3,4,5] => [5,1,6,4,3,2]
[4,1,+,6,2,5] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[4,1,-,6,2,5] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[4,1,+,6,+,2] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[4,1,-,6,+,2] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[4,1,+,6,-,2] => [2,3,6,1,4,5] => [5,4,1,6,3,2]
[4,1,-,6,-,2] => [2,6,1,3,4,5] => [5,1,6,4,3,2]
[4,1,5,2,3,+] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[4,1,5,2,3,-] => [2,4,5,1,3,6] => [5,3,2,6,4,1]
[4,1,5,2,6,3] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[4,1,5,3,2,+] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[4,1,5,3,2,-] => [2,4,5,1,3,6] => [5,3,2,6,4,1]
[4,1,5,3,6,2] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[4,1,5,6,2,3] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[4,1,5,6,3,2] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[4,1,6,2,3,5] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[4,1,6,2,+,3] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[4,1,6,2,-,3] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[4,1,6,3,2,5] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[4,1,6,3,+,2] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[4,1,6,3,-,2] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[4,1,6,5,2,3] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[4,1,6,5,3,2] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[4,+,1,3,+,+] => [2,3,4,5,6,1] => [5,4,3,2,1,6]
[4,-,1,3,+,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[4,+,1,3,-,+] => [2,3,4,6,1,5] => [5,4,3,1,6,2]
[4,+,1,3,+,-] => [2,3,4,5,1,6] => [5,4,3,2,6,1]
[4,-,1,3,-,+] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[4,-,1,3,+,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[4,+,1,3,-,-] => [2,3,4,1,5,6] => [5,4,3,6,2,1]
[4,-,1,3,-,-] => [3,4,1,2,5,6] => [4,3,6,5,2,1]
[4,+,1,3,6,5] => [2,3,4,6,1,5] => [5,4,3,1,6,2]
[4,-,1,3,6,5] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[4,+,1,5,3,+] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[4,-,1,5,3,+] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[4,+,1,5,3,-] => [2,3,5,1,4,6] => [5,4,2,6,3,1]
[4,-,1,5,3,-] => [3,5,1,2,4,6] => [4,2,6,5,3,1]
[4,+,1,5,6,3] => [2,3,6,1,4,5] => [5,4,1,6,3,2]
[4,-,1,5,6,3] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[4,+,1,6,3,5] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[4,-,1,6,3,5] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[4,+,1,6,+,3] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[4,-,1,6,+,3] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[4,+,1,6,-,3] => [2,3,6,1,4,5] => [5,4,1,6,3,2]
[4,-,1,6,-,3] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[4,+,+,1,+,+] => [2,3,4,5,6,1] => [5,4,3,2,1,6]
[4,-,+,1,+,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[4,+,-,1,+,+] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[4,+,+,1,-,+] => [2,3,4,6,1,5] => [5,4,3,1,6,2]
[4,+,+,1,+,-] => [2,3,4,5,1,6] => [5,4,3,2,6,1]
[4,-,-,1,+,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[4,-,+,1,-,+] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[4,-,+,1,+,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[4,+,-,1,-,+] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[4,+,-,1,+,-] => [2,4,5,1,3,6] => [5,3,2,6,4,1]
[4,+,+,1,-,-] => [2,3,4,1,5,6] => [5,4,3,6,2,1]
[4,-,-,1,-,+] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[4,-,-,1,+,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[4,-,+,1,-,-] => [3,4,1,2,5,6] => [4,3,6,5,2,1]
[4,+,-,1,-,-] => [2,4,1,3,5,6] => [5,3,6,4,2,1]
[4,-,-,1,-,-] => [4,1,2,3,5,6] => [3,6,5,4,2,1]
[4,+,+,1,6,5] => [2,3,4,6,1,5] => [5,4,3,1,6,2]
[4,-,+,1,6,5] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[4,+,-,1,6,5] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[4,-,-,1,6,5] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[4,+,+,5,1,+] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[4,-,+,5,1,+] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[4,+,-,5,1,+] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[4,+,+,5,1,-] => [2,3,5,1,4,6] => [5,4,2,6,3,1]
[4,-,-,5,1,+] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[4,-,+,5,1,-] => [3,5,1,2,4,6] => [4,2,6,5,3,1]
[4,+,-,5,1,-] => [2,5,1,3,4,6] => [5,2,6,4,3,1]
[4,-,-,5,1,-] => [5,1,2,3,4,6] => [2,6,5,4,3,1]
[4,+,+,5,6,1] => [2,3,6,1,4,5] => [5,4,1,6,3,2]
[4,-,+,5,6,1] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[4,+,-,5,6,1] => [2,6,1,3,4,5] => [5,1,6,4,3,2]
[4,-,-,5,6,1] => [6,1,2,3,4,5] => [1,6,5,4,3,2]
[4,+,+,6,1,5] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[4,-,+,6,1,5] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[4,+,-,6,1,5] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[4,-,-,6,1,5] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[4,+,+,6,+,1] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[4,-,+,6,+,1] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[4,+,-,6,+,1] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[4,+,+,6,-,1] => [2,3,6,1,4,5] => [5,4,1,6,3,2]
[4,-,-,6,+,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[4,-,+,6,-,1] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[4,+,-,6,-,1] => [2,6,1,3,4,5] => [5,1,6,4,3,2]
[4,-,-,6,-,1] => [6,1,2,3,4,5] => [1,6,5,4,3,2]
[4,+,5,1,3,+] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[4,-,5,1,3,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[4,+,5,1,3,-] => [2,4,5,1,3,6] => [5,3,2,6,4,1]
[4,-,5,1,3,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[4,+,5,1,6,3] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[4,-,5,1,6,3] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[4,+,5,3,1,+] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[4,-,5,3,1,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[4,+,5,3,1,-] => [2,4,5,1,3,6] => [5,3,2,6,4,1]
[4,-,5,3,1,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[4,+,5,3,6,1] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[4,-,5,3,6,1] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[4,+,5,6,1,3] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[4,-,5,6,1,3] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[4,+,5,6,3,1] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[4,-,5,6,3,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[4,+,6,1,3,5] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[4,-,6,1,3,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[4,+,6,1,+,3] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[4,-,6,1,+,3] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[4,+,6,1,-,3] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[4,-,6,1,-,3] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[4,+,6,3,1,5] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[4,-,6,3,1,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[4,+,6,3,+,1] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[4,-,6,3,+,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[4,+,6,3,-,1] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[4,-,6,3,-,1] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[4,+,6,5,1,3] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[4,-,6,5,1,3] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[4,+,6,5,3,1] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[4,-,6,5,3,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[4,3,1,2,+,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[4,3,1,2,-,+] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[4,3,1,2,+,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[4,3,1,2,-,-] => [3,4,1,2,5,6] => [4,3,6,5,2,1]
[4,3,1,2,6,5] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[4,3,1,5,2,+] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[4,3,1,5,2,-] => [3,5,1,2,4,6] => [4,2,6,5,3,1]
[4,3,1,5,6,2] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[4,3,1,6,2,5] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[4,3,1,6,+,2] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[4,3,1,6,-,2] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[4,3,2,1,+,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[4,3,2,1,-,+] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[4,3,2,1,+,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[4,3,2,1,-,-] => [3,4,1,2,5,6] => [4,3,6,5,2,1]
[4,3,2,1,6,5] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[4,3,2,5,1,+] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[4,3,2,5,1,-] => [3,5,1,2,4,6] => [4,2,6,5,3,1]
[4,3,2,5,6,1] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[4,3,2,6,1,5] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[4,3,2,6,+,1] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[4,3,2,6,-,1] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[4,3,5,1,2,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[4,3,5,1,2,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[4,3,5,1,6,2] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[4,3,5,2,1,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[4,3,5,2,1,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[4,3,5,2,6,1] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[4,3,5,6,1,2] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[4,3,5,6,2,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[4,3,6,1,2,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[4,3,6,1,+,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[4,3,6,1,-,2] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[4,3,6,2,1,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[4,3,6,2,+,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[4,3,6,2,-,1] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[4,3,6,5,1,2] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[4,3,6,5,2,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[4,5,1,2,3,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[4,5,1,2,3,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[4,5,1,2,6,3] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[4,5,1,3,2,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[4,5,1,3,2,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[4,5,1,3,6,2] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[4,5,1,6,2,3] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[4,5,1,6,3,2] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[4,5,2,1,3,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[4,5,2,1,3,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[4,5,2,1,6,3] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[4,5,2,3,1,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[4,5,2,3,1,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[4,5,2,3,6,1] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[4,5,2,6,1,3] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[4,5,2,6,3,1] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[4,5,+,1,2,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[4,5,-,1,2,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[4,5,+,1,2,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[4,5,-,1,2,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[4,5,+,1,6,2] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[4,5,-,1,6,2] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[4,5,+,2,1,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[4,5,-,2,1,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[4,5,+,2,1,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[4,5,-,2,1,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[4,5,+,2,6,1] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[4,5,-,2,6,1] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[4,5,+,6,1,2] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[4,5,-,6,1,2] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[4,5,+,6,2,1] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[4,5,-,6,2,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[4,5,6,1,2,3] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[4,5,6,1,3,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[4,5,6,2,1,3] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[4,5,6,2,3,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[4,5,6,3,1,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[4,5,6,3,2,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[4,6,1,2,3,5] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[4,6,1,2,+,3] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[4,6,1,2,-,3] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[4,6,1,3,2,5] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[4,6,1,3,+,2] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[4,6,1,3,-,2] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[4,6,1,5,2,3] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[4,6,1,5,3,2] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[4,6,2,1,3,5] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[4,6,2,1,+,3] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[4,6,2,1,-,3] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[4,6,2,3,1,5] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[4,6,2,3,+,1] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[4,6,2,3,-,1] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[4,6,2,5,1,3] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[4,6,2,5,3,1] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[4,6,+,1,2,5] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[4,6,-,1,2,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[4,6,+,1,+,2] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[4,6,-,1,+,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[4,6,+,1,-,2] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[4,6,-,1,-,2] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[4,6,+,2,1,5] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[4,6,-,2,1,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[4,6,+,2,+,1] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[4,6,-,2,+,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[4,6,+,2,-,1] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[4,6,-,2,-,1] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[4,6,+,5,1,2] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[4,6,-,5,1,2] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[4,6,+,5,2,1] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[4,6,-,5,2,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[4,6,5,1,2,3] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[4,6,5,1,3,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[4,6,5,2,1,3] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[4,6,5,2,3,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[4,6,5,3,1,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[4,6,5,3,2,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,1,2,3,4,+] => [2,3,4,5,6,1] => [5,4,3,2,1,6]
[5,1,2,3,4,-] => [2,3,4,5,1,6] => [5,4,3,2,6,1]
[5,1,2,3,6,4] => [2,3,4,6,1,5] => [5,4,3,1,6,2]
[5,1,2,+,3,+] => [2,3,4,5,6,1] => [5,4,3,2,1,6]
[5,1,2,-,3,+] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[5,1,2,+,3,-] => [2,3,4,5,1,6] => [5,4,3,2,6,1]
[5,1,2,-,3,-] => [2,3,5,1,4,6] => [5,4,2,6,3,1]
[5,1,2,+,6,3] => [2,3,4,6,1,5] => [5,4,3,1,6,2]
[5,1,2,-,6,3] => [2,3,6,1,4,5] => [5,4,1,6,3,2]
[5,1,2,6,3,4] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[5,1,2,6,4,3] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[5,1,+,2,4,+] => [2,3,4,5,6,1] => [5,4,3,2,1,6]
[5,1,-,2,4,+] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[5,1,+,2,4,-] => [2,3,4,5,1,6] => [5,4,3,2,6,1]
[5,1,-,2,4,-] => [2,4,5,1,3,6] => [5,3,2,6,4,1]
[5,1,+,2,6,4] => [2,3,4,6,1,5] => [5,4,3,1,6,2]
[5,1,-,2,6,4] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[5,1,+,+,2,+] => [2,3,4,5,6,1] => [5,4,3,2,1,6]
[5,1,-,+,2,+] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[5,1,+,-,2,+] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[5,1,+,+,2,-] => [2,3,4,5,1,6] => [5,4,3,2,6,1]
[5,1,-,-,2,+] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[5,1,-,+,2,-] => [2,4,5,1,3,6] => [5,3,2,6,4,1]
[5,1,+,-,2,-] => [2,3,5,1,4,6] => [5,4,2,6,3,1]
[5,1,-,-,2,-] => [2,5,1,3,4,6] => [5,2,6,4,3,1]
[5,1,+,+,6,2] => [2,3,4,6,1,5] => [5,4,3,1,6,2]
[5,1,-,+,6,2] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[5,1,+,-,6,2] => [2,3,6,1,4,5] => [5,4,1,6,3,2]
[5,1,-,-,6,2] => [2,6,1,3,4,5] => [5,1,6,4,3,2]
[5,1,+,6,2,4] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[5,1,-,6,2,4] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[5,1,+,6,4,2] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[5,1,-,6,4,2] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[5,1,4,2,3,+] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[5,1,4,2,3,-] => [2,4,5,1,3,6] => [5,3,2,6,4,1]
[5,1,4,2,6,3] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[5,1,4,3,2,+] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[5,1,4,3,2,-] => [2,4,5,1,3,6] => [5,3,2,6,4,1]
[5,1,4,3,6,2] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[5,1,4,6,2,3] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[5,1,4,6,3,2] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[5,1,6,2,3,4] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[5,1,6,2,4,3] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[5,1,6,3,2,4] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[5,1,6,3,4,2] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[5,1,6,+,2,3] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[5,1,6,-,2,3] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[5,1,6,+,3,2] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[5,1,6,-,3,2] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[5,+,1,3,4,+] => [2,3,4,5,6,1] => [5,4,3,2,1,6]
[5,-,1,3,4,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[5,+,1,3,4,-] => [2,3,4,5,1,6] => [5,4,3,2,6,1]
[5,-,1,3,4,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[5,+,1,3,6,4] => [2,3,4,6,1,5] => [5,4,3,1,6,2]
[5,-,1,3,6,4] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[5,+,1,+,3,+] => [2,3,4,5,6,1] => [5,4,3,2,1,6]
[5,-,1,+,3,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[5,+,1,-,3,+] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[5,+,1,+,3,-] => [2,3,4,5,1,6] => [5,4,3,2,6,1]
[5,-,1,-,3,+] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[5,-,1,+,3,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[5,+,1,-,3,-] => [2,3,5,1,4,6] => [5,4,2,6,3,1]
[5,-,1,-,3,-] => [3,5,1,2,4,6] => [4,2,6,5,3,1]
[5,+,1,+,6,3] => [2,3,4,6,1,5] => [5,4,3,1,6,2]
[5,-,1,+,6,3] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[5,+,1,-,6,3] => [2,3,6,1,4,5] => [5,4,1,6,3,2]
[5,-,1,-,6,3] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[5,+,1,6,3,4] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[5,-,1,6,3,4] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[5,+,1,6,4,3] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[5,-,1,6,4,3] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[5,+,+,1,4,+] => [2,3,4,5,6,1] => [5,4,3,2,1,6]
[5,-,+,1,4,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[5,+,-,1,4,+] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[5,+,+,1,4,-] => [2,3,4,5,1,6] => [5,4,3,2,6,1]
[5,-,-,1,4,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,-,+,1,4,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[5,+,-,1,4,-] => [2,4,5,1,3,6] => [5,3,2,6,4,1]
[5,-,-,1,4,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[5,+,+,1,6,4] => [2,3,4,6,1,5] => [5,4,3,1,6,2]
[5,-,+,1,6,4] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[5,+,-,1,6,4] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[5,-,-,1,6,4] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[5,+,+,+,1,+] => [2,3,4,5,6,1] => [5,4,3,2,1,6]
[5,-,+,+,1,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[5,+,-,+,1,+] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[5,+,+,-,1,+] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[5,+,+,+,1,-] => [2,3,4,5,1,6] => [5,4,3,2,6,1]
[5,-,-,+,1,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,-,+,-,1,+] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[5,-,+,+,1,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[5,+,-,-,1,+] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[5,+,-,+,1,-] => [2,4,5,1,3,6] => [5,3,2,6,4,1]
[5,+,+,-,1,-] => [2,3,5,1,4,6] => [5,4,2,6,3,1]
[5,-,-,-,1,+] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[5,-,-,+,1,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[5,-,+,-,1,-] => [3,5,1,2,4,6] => [4,2,6,5,3,1]
[5,+,-,-,1,-] => [2,5,1,3,4,6] => [5,2,6,4,3,1]
[5,-,-,-,1,-] => [5,1,2,3,4,6] => [2,6,5,4,3,1]
[5,+,+,+,6,1] => [2,3,4,6,1,5] => [5,4,3,1,6,2]
[5,-,+,+,6,1] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[5,+,-,+,6,1] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[5,+,+,-,6,1] => [2,3,6,1,4,5] => [5,4,1,6,3,2]
[5,-,-,+,6,1] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[5,-,+,-,6,1] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[5,+,-,-,6,1] => [2,6,1,3,4,5] => [5,1,6,4,3,2]
[5,-,-,-,6,1] => [6,1,2,3,4,5] => [1,6,5,4,3,2]
[5,+,+,6,1,4] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[5,-,+,6,1,4] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[5,+,-,6,1,4] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[5,-,-,6,1,4] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[5,+,+,6,4,1] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[5,-,+,6,4,1] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[5,+,-,6,4,1] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[5,-,-,6,4,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[5,+,4,1,3,+] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[5,-,4,1,3,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,+,4,1,3,-] => [2,4,5,1,3,6] => [5,3,2,6,4,1]
[5,-,4,1,3,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[5,+,4,1,6,3] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[5,-,4,1,6,3] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[5,+,4,3,1,+] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[5,-,4,3,1,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,+,4,3,1,-] => [2,4,5,1,3,6] => [5,3,2,6,4,1]
[5,-,4,3,1,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[5,+,4,3,6,1] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[5,-,4,3,6,1] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[5,+,4,6,1,3] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[5,-,4,6,1,3] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[5,+,4,6,3,1] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[5,-,4,6,3,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[5,+,6,1,3,4] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[5,-,6,1,3,4] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,+,6,1,4,3] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[5,-,6,1,4,3] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,+,6,3,1,4] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[5,-,6,3,1,4] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,+,6,3,4,1] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[5,-,6,3,4,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,+,6,+,1,3] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[5,-,6,+,1,3] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,+,6,-,1,3] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[5,-,6,-,1,3] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[5,+,6,+,3,1] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[5,-,6,+,3,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,+,6,-,3,1] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[5,-,6,-,3,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[5,3,1,2,4,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[5,3,1,2,4,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[5,3,1,2,6,4] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[5,3,1,+,2,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[5,3,1,-,2,+] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[5,3,1,+,2,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[5,3,1,-,2,-] => [3,5,1,2,4,6] => [4,2,6,5,3,1]
[5,3,1,+,6,2] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[5,3,1,-,6,2] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[5,3,1,6,2,4] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[5,3,1,6,4,2] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[5,3,2,1,4,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[5,3,2,1,4,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[5,3,2,1,6,4] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[5,3,2,+,1,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[5,3,2,-,1,+] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[5,3,2,+,1,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[5,3,2,-,1,-] => [3,5,1,2,4,6] => [4,2,6,5,3,1]
[5,3,2,+,6,1] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[5,3,2,-,6,1] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[5,3,2,6,1,4] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[5,3,2,6,4,1] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[5,3,4,1,2,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,3,4,1,2,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[5,3,4,1,6,2] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[5,3,4,2,1,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,3,4,2,1,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[5,3,4,2,6,1] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[5,3,4,6,1,2] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[5,3,4,6,2,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[5,3,6,1,2,4] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,3,6,1,4,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,3,6,2,1,4] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,3,6,2,4,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,3,6,+,1,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,3,6,-,1,2] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[5,3,6,+,2,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,3,6,-,2,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[5,4,1,2,3,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[5,4,1,2,3,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[5,4,1,2,6,3] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[5,4,1,3,2,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[5,4,1,3,2,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[5,4,1,3,6,2] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[5,4,1,6,2,3] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[5,4,1,6,3,2] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[5,4,2,1,3,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[5,4,2,1,3,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[5,4,2,1,6,3] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[5,4,2,3,1,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[5,4,2,3,1,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[5,4,2,3,6,1] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[5,4,2,6,1,3] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[5,4,2,6,3,1] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[5,4,+,1,2,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[5,4,-,1,2,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,4,+,1,2,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[5,4,-,1,2,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[5,4,+,1,6,2] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[5,4,-,1,6,2] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[5,4,+,2,1,+] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[5,4,-,2,1,+] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,4,+,2,1,-] => [3,4,5,1,2,6] => [4,3,2,6,5,1]
[5,4,-,2,1,-] => [4,5,1,2,3,6] => [3,2,6,5,4,1]
[5,4,+,2,6,1] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[5,4,-,2,6,1] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[5,4,+,6,1,2] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[5,4,-,6,1,2] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[5,4,+,6,2,1] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[5,4,-,6,2,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[5,4,6,1,2,3] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,4,6,1,3,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,4,6,2,1,3] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,4,6,2,3,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,4,6,3,1,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,4,6,3,2,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,6,1,2,3,4] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[5,6,1,2,4,3] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[5,6,1,3,2,4] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[5,6,1,3,4,2] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[5,6,1,+,2,3] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[5,6,1,-,2,3] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[5,6,1,+,3,2] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[5,6,1,-,3,2] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[5,6,2,1,3,4] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[5,6,2,1,4,3] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[5,6,2,3,1,4] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[5,6,2,3,4,1] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[5,6,2,+,1,3] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[5,6,2,-,1,3] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[5,6,2,+,3,1] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[5,6,2,-,3,1] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[5,6,+,1,2,4] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[5,6,-,1,2,4] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,6,+,1,4,2] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[5,6,-,1,4,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,6,+,2,1,4] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[5,6,-,2,1,4] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,6,+,2,4,1] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[5,6,-,2,4,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,6,+,+,1,2] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[5,6,-,+,1,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,6,+,-,1,2] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[5,6,-,-,1,2] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[5,6,+,+,2,1] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[5,6,-,+,2,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,6,+,-,2,1] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[5,6,-,-,2,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[5,6,4,1,2,3] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,6,4,1,3,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,6,4,2,1,3] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,6,4,2,3,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,6,4,3,1,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[5,6,4,3,2,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,1,2,3,4,5] => [2,3,4,5,6,1] => [5,4,3,2,1,6]
[6,1,2,3,+,4] => [2,3,4,5,6,1] => [5,4,3,2,1,6]
[6,1,2,3,-,4] => [2,3,4,6,1,5] => [5,4,3,1,6,2]
[6,1,2,+,3,5] => [2,3,4,5,6,1] => [5,4,3,2,1,6]
[6,1,2,-,3,5] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[6,1,2,+,+,3] => [2,3,4,5,6,1] => [5,4,3,2,1,6]
[6,1,2,-,+,3] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[6,1,2,+,-,3] => [2,3,4,6,1,5] => [5,4,3,1,6,2]
[6,1,2,-,-,3] => [2,3,6,1,4,5] => [5,4,1,6,3,2]
[6,1,2,5,3,4] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[6,1,2,5,4,3] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[6,1,+,2,4,5] => [2,3,4,5,6,1] => [5,4,3,2,1,6]
[6,1,-,2,4,5] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[6,1,+,2,+,4] => [2,3,4,5,6,1] => [5,4,3,2,1,6]
[6,1,-,2,+,4] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[6,1,+,2,-,4] => [2,3,4,6,1,5] => [5,4,3,1,6,2]
[6,1,-,2,-,4] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[6,1,+,+,2,5] => [2,3,4,5,6,1] => [5,4,3,2,1,6]
[6,1,-,+,2,5] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[6,1,+,-,2,5] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[6,1,-,-,2,5] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[6,1,+,+,+,2] => [2,3,4,5,6,1] => [5,4,3,2,1,6]
[6,1,-,+,+,2] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[6,1,+,-,+,2] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[6,1,+,+,-,2] => [2,3,4,6,1,5] => [5,4,3,1,6,2]
[6,1,-,-,+,2] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[6,1,-,+,-,2] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[6,1,+,-,-,2] => [2,3,6,1,4,5] => [5,4,1,6,3,2]
[6,1,-,-,-,2] => [2,6,1,3,4,5] => [5,1,6,4,3,2]
[6,1,+,5,2,4] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[6,1,-,5,2,4] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[6,1,+,5,4,2] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[6,1,-,5,4,2] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[6,1,4,2,3,5] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[6,1,4,2,+,3] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[6,1,4,2,-,3] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[6,1,4,3,2,5] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[6,1,4,3,+,2] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[6,1,4,3,-,2] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[6,1,4,5,2,3] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[6,1,4,5,3,2] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[6,1,5,2,3,4] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[6,1,5,2,4,3] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[6,1,5,3,2,4] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[6,1,5,3,4,2] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[6,1,5,+,2,3] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[6,1,5,-,2,3] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[6,1,5,+,3,2] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[6,1,5,-,3,2] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[6,+,1,3,4,5] => [2,3,4,5,6,1] => [5,4,3,2,1,6]
[6,-,1,3,4,5] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,+,1,3,+,4] => [2,3,4,5,6,1] => [5,4,3,2,1,6]
[6,-,1,3,+,4] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,+,1,3,-,4] => [2,3,4,6,1,5] => [5,4,3,1,6,2]
[6,-,1,3,-,4] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[6,+,1,+,3,5] => [2,3,4,5,6,1] => [5,4,3,2,1,6]
[6,-,1,+,3,5] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,+,1,-,3,5] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[6,-,1,-,3,5] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[6,+,1,+,+,3] => [2,3,4,5,6,1] => [5,4,3,2,1,6]
[6,-,1,+,+,3] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,+,1,-,+,3] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[6,+,1,+,-,3] => [2,3,4,6,1,5] => [5,4,3,1,6,2]
[6,-,1,-,+,3] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[6,-,1,+,-,3] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[6,+,1,-,-,3] => [2,3,6,1,4,5] => [5,4,1,6,3,2]
[6,-,1,-,-,3] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[6,+,1,5,3,4] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[6,-,1,5,3,4] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[6,+,1,5,4,3] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[6,-,1,5,4,3] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[6,+,+,1,4,5] => [2,3,4,5,6,1] => [5,4,3,2,1,6]
[6,-,+,1,4,5] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,+,-,1,4,5] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[6,-,-,1,4,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,+,+,1,+,4] => [2,3,4,5,6,1] => [5,4,3,2,1,6]
[6,-,+,1,+,4] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,+,-,1,+,4] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[6,+,+,1,-,4] => [2,3,4,6,1,5] => [5,4,3,1,6,2]
[6,-,-,1,+,4] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,-,+,1,-,4] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[6,+,-,1,-,4] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[6,-,-,1,-,4] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[6,+,+,+,1,5] => [2,3,4,5,6,1] => [5,4,3,2,1,6]
[6,-,+,+,1,5] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,+,-,+,1,5] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[6,+,+,-,1,5] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[6,-,-,+,1,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,-,+,-,1,5] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[6,+,-,-,1,5] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[6,-,-,-,1,5] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[6,+,+,+,+,1] => [2,3,4,5,6,1] => [5,4,3,2,1,6]
[6,-,+,+,+,1] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,+,-,+,+,1] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[6,+,+,-,+,1] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[6,+,+,+,-,1] => [2,3,4,6,1,5] => [5,4,3,1,6,2]
[6,-,-,+,+,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,-,+,-,+,1] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[6,-,+,+,-,1] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[6,+,-,-,+,1] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[6,+,-,+,-,1] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[6,+,+,-,-,1] => [2,3,6,1,4,5] => [5,4,1,6,3,2]
[6,-,-,-,+,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[6,-,-,+,-,1] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[6,-,+,-,-,1] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[6,+,-,-,-,1] => [2,6,1,3,4,5] => [5,1,6,4,3,2]
[6,-,-,-,-,1] => [6,1,2,3,4,5] => [1,6,5,4,3,2]
[6,+,+,5,1,4] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[6,-,+,5,1,4] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[6,+,-,5,1,4] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[6,-,-,5,1,4] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[6,+,+,5,4,1] => [2,3,5,6,1,4] => [5,4,2,1,6,3]
[6,-,+,5,4,1] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[6,+,-,5,4,1] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[6,-,-,5,4,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[6,+,4,1,3,5] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[6,-,4,1,3,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,+,4,1,+,3] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[6,-,4,1,+,3] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,+,4,1,-,3] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[6,-,4,1,-,3] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[6,+,4,3,1,5] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[6,-,4,3,1,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,+,4,3,+,1] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[6,-,4,3,+,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,+,4,3,-,1] => [2,4,6,1,3,5] => [5,3,1,6,4,2]
[6,-,4,3,-,1] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[6,+,4,5,1,3] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[6,-,4,5,1,3] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[6,+,4,5,3,1] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[6,-,4,5,3,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[6,+,5,1,3,4] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[6,-,5,1,3,4] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,+,5,1,4,3] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[6,-,5,1,4,3] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,+,5,3,1,4] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[6,-,5,3,1,4] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,+,5,3,4,1] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[6,-,5,3,4,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,+,5,+,1,3] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[6,-,5,+,1,3] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,+,5,-,1,3] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[6,-,5,-,1,3] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[6,+,5,+,3,1] => [2,4,5,6,1,3] => [5,3,2,1,6,4]
[6,-,5,+,3,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,+,5,-,3,1] => [2,5,6,1,3,4] => [5,2,1,6,4,3]
[6,-,5,-,3,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[6,3,1,2,4,5] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,3,1,2,+,4] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,3,1,2,-,4] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[6,3,1,+,2,5] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,3,1,-,2,5] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[6,3,1,+,+,2] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,3,1,-,+,2] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[6,3,1,+,-,2] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[6,3,1,-,-,2] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[6,3,1,5,2,4] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[6,3,1,5,4,2] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[6,3,2,1,4,5] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,3,2,1,+,4] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,3,2,1,-,4] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[6,3,2,+,1,5] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,3,2,-,1,5] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[6,3,2,+,+,1] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,3,2,-,+,1] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[6,3,2,+,-,1] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[6,3,2,-,-,1] => [3,6,1,2,4,5] => [4,1,6,5,3,2]
[6,3,2,5,1,4] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[6,3,2,5,4,1] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[6,3,4,1,2,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,3,4,1,+,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,3,4,1,-,2] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[6,3,4,2,1,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,3,4,2,+,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,3,4,2,-,1] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[6,3,4,5,1,2] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[6,3,4,5,2,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[6,3,5,1,2,4] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,3,5,1,4,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,3,5,2,1,4] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,3,5,2,4,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,3,5,+,1,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,3,5,-,1,2] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[6,3,5,+,2,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,3,5,-,2,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[6,4,1,2,3,5] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,4,1,2,+,3] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,4,1,2,-,3] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[6,4,1,3,2,5] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,4,1,3,+,2] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,4,1,3,-,2] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[6,4,1,5,2,3] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[6,4,1,5,3,2] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[6,4,2,1,3,5] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,4,2,1,+,3] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,4,2,1,-,3] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[6,4,2,3,1,5] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,4,2,3,+,1] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,4,2,3,-,1] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[6,4,2,5,1,3] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[6,4,2,5,3,1] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[6,4,+,1,2,5] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,4,-,1,2,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,4,+,1,+,2] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,4,-,1,+,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,4,+,1,-,2] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[6,4,-,1,-,2] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[6,4,+,2,1,5] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,4,-,2,1,5] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,4,+,2,+,1] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,4,-,2,+,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,4,+,2,-,1] => [3,4,6,1,2,5] => [4,3,1,6,5,2]
[6,4,-,2,-,1] => [4,6,1,2,3,5] => [3,1,6,5,4,2]
[6,4,+,5,1,2] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[6,4,-,5,1,2] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[6,4,+,5,2,1] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[6,4,-,5,2,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[6,4,5,1,2,3] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,4,5,1,3,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,4,5,2,1,3] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,4,5,2,3,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,4,5,3,1,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,4,5,3,2,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,5,1,2,3,4] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,5,1,2,4,3] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,5,1,3,2,4] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,5,1,3,4,2] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,5,1,+,2,3] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,5,1,-,2,3] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[6,5,1,+,3,2] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,5,1,-,3,2] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[6,5,2,1,3,4] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,5,2,1,4,3] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,5,2,3,1,4] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,5,2,3,4,1] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,5,2,+,1,3] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,5,2,-,1,3] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[6,5,2,+,3,1] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,5,2,-,3,1] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[6,5,+,1,2,4] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,5,-,1,2,4] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,5,+,1,4,2] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,5,-,1,4,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,5,+,2,1,4] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,5,-,2,1,4] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,5,+,2,4,1] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,5,-,2,4,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,5,+,+,1,2] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,5,-,+,1,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,5,+,-,1,2] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[6,5,-,-,1,2] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[6,5,+,+,2,1] => [3,4,5,6,1,2] => [4,3,2,1,6,5]
[6,5,-,+,2,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,5,+,-,2,1] => [3,5,6,1,2,4] => [4,2,1,6,5,3]
[6,5,-,-,2,1] => [5,6,1,2,3,4] => [2,1,6,5,4,3]
[6,5,4,1,2,3] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,5,4,1,3,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,5,4,2,1,3] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,5,4,2,3,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,5,4,3,1,2] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
[6,5,4,3,2,1] => [4,5,6,1,2,3] => [3,2,1,6,5,4]
Map
upper permutation
Description
The upper 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 $v$.
Map
complement
Description
Sents a permutation to its complement.
The complement of a permutation $\sigma$ of length $n$ is the permutation $\tau$ with $\tau(i) = n+1-\sigma(i)$