Identifier
Values
[+] => [1] => [1] => ([],1) => 1
[-] => [1] => [1] => ([],1) => 1
[+,+] => [1,2] => [1,2] => ([],2) => 1
[-,+] => [2,1] => [2,1] => ([(0,1)],2) => 2
[+,-] => [1,2] => [1,2] => ([],2) => 1
[-,-] => [1,2] => [1,2] => ([],2) => 1
[2,1] => [2,1] => [2,1] => ([(0,1)],2) => 2
[+,+,+] => [1,2,3] => [1,2,3] => ([],3) => 1
[-,+,+] => [2,3,1] => [2,3,1] => ([(0,2),(1,2)],3) => 2
[+,-,+] => [1,3,2] => [3,1,2] => ([(0,2),(1,2)],3) => 2
[+,+,-] => [1,2,3] => [1,2,3] => ([],3) => 1
[-,-,+] => [3,1,2] => [1,3,2] => ([(1,2)],3) => 2
[-,+,-] => [2,1,3] => [2,1,3] => ([(1,2)],3) => 2
[+,-,-] => [1,2,3] => [1,2,3] => ([],3) => 1
[-,-,-] => [1,2,3] => [1,2,3] => ([],3) => 1
[+,3,2] => [1,3,2] => [3,1,2] => ([(0,2),(1,2)],3) => 2
[-,3,2] => [3,1,2] => [1,3,2] => ([(1,2)],3) => 2
[2,1,+] => [2,3,1] => [2,3,1] => ([(0,2),(1,2)],3) => 2
[2,1,-] => [2,1,3] => [2,1,3] => ([(1,2)],3) => 2
[2,3,1] => [3,1,2] => [1,3,2] => ([(1,2)],3) => 2
[3,1,2] => [2,3,1] => [2,3,1] => ([(0,2),(1,2)],3) => 2
[3,+,1] => [2,3,1] => [2,3,1] => ([(0,2),(1,2)],3) => 2
[3,-,1] => [3,1,2] => [1,3,2] => ([(1,2)],3) => 2
[+,+,+,+] => [1,2,3,4] => [1,2,3,4] => ([],4) => 1
[-,+,+,+] => [2,3,4,1] => [2,3,4,1] => ([(0,3),(1,3),(2,3)],4) => 2
[+,-,+,+] => [1,3,4,2] => [3,4,1,2] => ([(0,2),(0,3),(1,2),(1,3)],4) => 3
[+,+,-,+] => [1,2,4,3] => [4,1,2,3] => ([(0,3),(1,3),(2,3)],4) => 2
[+,+,+,-] => [1,2,3,4] => [1,2,3,4] => ([],4) => 1
[-,-,+,+] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[-,+,+,-] => [2,3,1,4] => [2,3,1,4] => ([(1,3),(2,3)],4) => 2
[+,-,-,+] => [1,4,2,3] => [1,4,2,3] => ([(1,3),(2,3)],4) => 2
[+,-,+,-] => [1,3,2,4] => [3,1,2,4] => ([(1,3),(2,3)],4) => 2
[+,+,-,-] => [1,2,3,4] => [1,2,3,4] => ([],4) => 1
[-,-,-,+] => [4,1,2,3] => [1,2,4,3] => ([(2,3)],4) => 2
[-,-,+,-] => [3,1,2,4] => [1,3,2,4] => ([(2,3)],4) => 2
[-,+,-,-] => [2,1,3,4] => [2,1,3,4] => ([(2,3)],4) => 2
[+,-,-,-] => [1,2,3,4] => [1,2,3,4] => ([],4) => 1
[-,-,-,-] => [1,2,3,4] => [1,2,3,4] => ([],4) => 1
[+,+,4,3] => [1,2,4,3] => [4,1,2,3] => ([(0,3),(1,3),(2,3)],4) => 2
[+,-,4,3] => [1,4,2,3] => [1,4,2,3] => ([(1,3),(2,3)],4) => 2
[-,-,4,3] => [4,1,2,3] => [1,2,4,3] => ([(2,3)],4) => 2
[+,3,2,+] => [1,3,4,2] => [3,4,1,2] => ([(0,2),(0,3),(1,2),(1,3)],4) => 3
[-,3,2,+] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[+,3,2,-] => [1,3,2,4] => [3,1,2,4] => ([(1,3),(2,3)],4) => 2
[-,3,2,-] => [3,1,2,4] => [1,3,2,4] => ([(2,3)],4) => 2
[+,3,4,2] => [1,4,2,3] => [1,4,2,3] => ([(1,3),(2,3)],4) => 2
[-,3,4,2] => [4,1,2,3] => [1,2,4,3] => ([(2,3)],4) => 2
[+,4,2,3] => [1,3,4,2] => [3,4,1,2] => ([(0,2),(0,3),(1,2),(1,3)],4) => 3
[-,4,2,3] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[+,4,+,2] => [1,3,4,2] => [3,4,1,2] => ([(0,2),(0,3),(1,2),(1,3)],4) => 3
[-,4,+,2] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[+,4,-,2] => [1,4,2,3] => [1,4,2,3] => ([(1,3),(2,3)],4) => 2
[-,4,-,2] => [4,1,2,3] => [1,2,4,3] => ([(2,3)],4) => 2
[2,1,+,+] => [2,3,4,1] => [2,3,4,1] => ([(0,3),(1,3),(2,3)],4) => 2
[2,1,+,-] => [2,3,1,4] => [2,3,1,4] => ([(1,3),(2,3)],4) => 2
[2,1,-,-] => [2,1,3,4] => [2,1,3,4] => ([(2,3)],4) => 2
[2,3,1,+] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[2,3,1,-] => [3,1,2,4] => [1,3,2,4] => ([(2,3)],4) => 2
[2,3,4,1] => [4,1,2,3] => [1,2,4,3] => ([(2,3)],4) => 2
[2,4,1,3] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[2,4,+,1] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[2,4,-,1] => [4,1,2,3] => [1,2,4,3] => ([(2,3)],4) => 2
[3,1,2,+] => [2,3,4,1] => [2,3,4,1] => ([(0,3),(1,3),(2,3)],4) => 2
[3,1,2,-] => [2,3,1,4] => [2,3,1,4] => ([(1,3),(2,3)],4) => 2
[3,+,1,+] => [2,3,4,1] => [2,3,4,1] => ([(0,3),(1,3),(2,3)],4) => 2
[3,-,1,+] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[3,+,1,-] => [2,3,1,4] => [2,3,1,4] => ([(1,3),(2,3)],4) => 2
[3,-,1,-] => [3,1,2,4] => [1,3,2,4] => ([(2,3)],4) => 2
[3,-,4,1] => [4,1,2,3] => [1,2,4,3] => ([(2,3)],4) => 2
[3,4,1,2] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[3,4,2,1] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[4,1,2,3] => [2,3,4,1] => [2,3,4,1] => ([(0,3),(1,3),(2,3)],4) => 2
[4,1,+,2] => [2,3,4,1] => [2,3,4,1] => ([(0,3),(1,3),(2,3)],4) => 2
[4,+,1,3] => [2,3,4,1] => [2,3,4,1] => ([(0,3),(1,3),(2,3)],4) => 2
[4,-,1,3] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[4,+,+,1] => [2,3,4,1] => [2,3,4,1] => ([(0,3),(1,3),(2,3)],4) => 2
[4,-,+,1] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[4,-,-,1] => [4,1,2,3] => [1,2,4,3] => ([(2,3)],4) => 2
[4,3,1,2] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[4,3,2,1] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[+,+,+,+,+] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5) => 1
[-,+,+,+,+] => [2,3,4,5,1] => [2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[+,+,+,-,+] => [1,2,3,5,4] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[+,+,+,+,-] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5) => 1
[-,+,+,+,-] => [2,3,4,1,5] => [2,3,4,1,5] => ([(1,4),(2,4),(3,4)],5) => 2
[+,-,+,+,-] => [1,3,4,2,5] => [3,4,1,2,5] => ([(1,3),(1,4),(2,3),(2,4)],5) => 3
[+,+,-,-,+] => [1,2,5,3,4] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 2
[+,+,-,+,-] => [1,2,4,3,5] => [4,1,2,3,5] => ([(1,4),(2,4),(3,4)],5) => 2
[+,+,+,-,-] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5) => 1
[-,-,-,+,+] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[-,-,+,+,-] => [3,4,1,2,5] => [3,1,4,2,5] => ([(1,4),(2,3),(3,4)],5) => 2
[-,+,-,-,+] => [2,5,1,3,4] => [2,1,5,3,4] => ([(0,1),(2,4),(3,4)],5) => 2
[-,+,+,-,-] => [2,3,1,4,5] => [2,3,1,4,5] => ([(2,4),(3,4)],5) => 2
[+,-,-,-,+] => [1,5,2,3,4] => [1,2,5,3,4] => ([(2,4),(3,4)],5) => 2
[+,-,-,+,-] => [1,4,2,3,5] => [1,4,2,3,5] => ([(2,4),(3,4)],5) => 2
[+,-,+,-,-] => [1,3,2,4,5] => [3,1,2,4,5] => ([(2,4),(3,4)],5) => 2
[+,+,-,-,-] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5) => 1
[-,-,-,-,+] => [5,1,2,3,4] => [1,2,3,5,4] => ([(3,4)],5) => 2
[-,-,-,+,-] => [4,1,2,3,5] => [1,2,4,3,5] => ([(3,4)],5) => 2
[-,-,+,-,-] => [3,1,2,4,5] => [1,3,2,4,5] => ([(3,4)],5) => 2
[-,+,-,-,-] => [2,1,3,4,5] => [2,1,3,4,5] => ([(3,4)],5) => 2
>>> Load all 741 entries. <<<
[+,-,-,-,-] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5) => 1
[-,-,-,-,-] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5) => 1
[+,+,+,5,4] => [1,2,3,5,4] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[+,+,-,5,4] => [1,2,5,3,4] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 2
[-,+,-,5,4] => [2,5,1,3,4] => [2,1,5,3,4] => ([(0,1),(2,4),(3,4)],5) => 2
[+,-,-,5,4] => [1,5,2,3,4] => [1,2,5,3,4] => ([(2,4),(3,4)],5) => 2
[-,-,-,5,4] => [5,1,2,3,4] => [1,2,3,5,4] => ([(3,4)],5) => 2
[+,+,4,3,-] => [1,2,4,3,5] => [4,1,2,3,5] => ([(1,4),(2,4),(3,4)],5) => 2
[-,-,4,3,+] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[+,-,4,3,-] => [1,4,2,3,5] => [1,4,2,3,5] => ([(2,4),(3,4)],5) => 2
[-,-,4,3,-] => [4,1,2,3,5] => [1,2,4,3,5] => ([(3,4)],5) => 2
[+,+,4,5,3] => [1,2,5,3,4] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 2
[-,+,4,5,3] => [2,5,1,3,4] => [2,1,5,3,4] => ([(0,1),(2,4),(3,4)],5) => 2
[+,-,4,5,3] => [1,5,2,3,4] => [1,2,5,3,4] => ([(2,4),(3,4)],5) => 2
[-,-,4,5,3] => [5,1,2,3,4] => [1,2,3,5,4] => ([(3,4)],5) => 2
[-,-,5,3,4] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[+,+,5,-,3] => [1,2,5,3,4] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 2
[-,-,5,+,3] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[-,+,5,-,3] => [2,5,1,3,4] => [2,1,5,3,4] => ([(0,1),(2,4),(3,4)],5) => 2
[+,-,5,-,3] => [1,5,2,3,4] => [1,2,5,3,4] => ([(2,4),(3,4)],5) => 2
[-,-,5,-,3] => [5,1,2,3,4] => [1,2,3,5,4] => ([(3,4)],5) => 2
[+,3,2,+,-] => [1,3,4,2,5] => [3,4,1,2,5] => ([(1,3),(1,4),(2,3),(2,4)],5) => 3
[-,3,2,+,-] => [3,4,1,2,5] => [3,1,4,2,5] => ([(1,4),(2,3),(3,4)],5) => 2
[+,3,2,-,-] => [1,3,2,4,5] => [3,1,2,4,5] => ([(2,4),(3,4)],5) => 2
[-,3,2,-,-] => [3,1,2,4,5] => [1,3,2,4,5] => ([(3,4)],5) => 2
[-,3,4,2,+] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[+,3,4,2,-] => [1,4,2,3,5] => [1,4,2,3,5] => ([(2,4),(3,4)],5) => 2
[-,3,4,2,-] => [4,1,2,3,5] => [1,2,4,3,5] => ([(3,4)],5) => 2
[+,3,4,5,2] => [1,5,2,3,4] => [1,2,5,3,4] => ([(2,4),(3,4)],5) => 2
[-,3,4,5,2] => [5,1,2,3,4] => [1,2,3,5,4] => ([(3,4)],5) => 2
[-,3,5,2,4] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[-,3,5,+,2] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[+,3,5,-,2] => [1,5,2,3,4] => [1,2,5,3,4] => ([(2,4),(3,4)],5) => 2
[-,3,5,-,2] => [5,1,2,3,4] => [1,2,3,5,4] => ([(3,4)],5) => 2
[+,4,2,3,-] => [1,3,4,2,5] => [3,4,1,2,5] => ([(1,3),(1,4),(2,3),(2,4)],5) => 3
[-,4,2,3,-] => [3,4,1,2,5] => [3,1,4,2,5] => ([(1,4),(2,3),(3,4)],5) => 2
[+,4,+,2,-] => [1,3,4,2,5] => [3,4,1,2,5] => ([(1,3),(1,4),(2,3),(2,4)],5) => 3
[-,4,-,2,+] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[-,4,+,2,-] => [3,4,1,2,5] => [3,1,4,2,5] => ([(1,4),(2,3),(3,4)],5) => 2
[+,4,-,2,-] => [1,4,2,3,5] => [1,4,2,3,5] => ([(2,4),(3,4)],5) => 2
[-,4,-,2,-] => [4,1,2,3,5] => [1,2,4,3,5] => ([(3,4)],5) => 2
[+,4,-,5,2] => [1,5,2,3,4] => [1,2,5,3,4] => ([(2,4),(3,4)],5) => 2
[-,4,-,5,2] => [5,1,2,3,4] => [1,2,3,5,4] => ([(3,4)],5) => 2
[-,4,5,2,3] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[-,4,5,3,2] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[-,5,-,2,4] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[-,5,-,+,2] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[+,5,-,-,2] => [1,5,2,3,4] => [1,2,5,3,4] => ([(2,4),(3,4)],5) => 2
[-,5,-,-,2] => [5,1,2,3,4] => [1,2,3,5,4] => ([(3,4)],5) => 2
[-,5,4,2,3] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[-,5,4,3,2] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[2,1,+,+,+] => [2,3,4,5,1] => [2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[2,1,+,+,-] => [2,3,4,1,5] => [2,3,4,1,5] => ([(1,4),(2,4),(3,4)],5) => 2
[2,1,-,-,+] => [2,5,1,3,4] => [2,1,5,3,4] => ([(0,1),(2,4),(3,4)],5) => 2
[2,1,+,-,-] => [2,3,1,4,5] => [2,3,1,4,5] => ([(2,4),(3,4)],5) => 2
[2,1,-,-,-] => [2,1,3,4,5] => [2,1,3,4,5] => ([(3,4)],5) => 2
[2,1,-,5,4] => [2,5,1,3,4] => [2,1,5,3,4] => ([(0,1),(2,4),(3,4)],5) => 2
[2,1,4,5,3] => [2,5,1,3,4] => [2,1,5,3,4] => ([(0,1),(2,4),(3,4)],5) => 2
[2,1,5,-,3] => [2,5,1,3,4] => [2,1,5,3,4] => ([(0,1),(2,4),(3,4)],5) => 2
[2,3,1,+,-] => [3,4,1,2,5] => [3,1,4,2,5] => ([(1,4),(2,3),(3,4)],5) => 2
[2,3,1,-,-] => [3,1,2,4,5] => [1,3,2,4,5] => ([(3,4)],5) => 2
[2,3,4,1,+] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[2,3,4,1,-] => [4,1,2,3,5] => [1,2,4,3,5] => ([(3,4)],5) => 2
[2,3,4,5,1] => [5,1,2,3,4] => [1,2,3,5,4] => ([(3,4)],5) => 2
[2,3,5,1,4] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[2,3,5,+,1] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[2,3,5,-,1] => [5,1,2,3,4] => [1,2,3,5,4] => ([(3,4)],5) => 2
[2,4,1,3,-] => [3,4,1,2,5] => [3,1,4,2,5] => ([(1,4),(2,3),(3,4)],5) => 2
[2,4,-,1,+] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[2,4,+,1,-] => [3,4,1,2,5] => [3,1,4,2,5] => ([(1,4),(2,3),(3,4)],5) => 2
[2,4,-,1,-] => [4,1,2,3,5] => [1,2,4,3,5] => ([(3,4)],5) => 2
[2,4,-,5,1] => [5,1,2,3,4] => [1,2,3,5,4] => ([(3,4)],5) => 2
[2,4,5,1,3] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[2,4,5,3,1] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[2,5,-,1,4] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[2,5,-,+,1] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[2,5,-,-,1] => [5,1,2,3,4] => [1,2,3,5,4] => ([(3,4)],5) => 2
[2,5,4,1,3] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[2,5,4,3,1] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[3,1,2,+,+] => [2,3,4,5,1] => [2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[3,1,2,+,-] => [2,3,4,1,5] => [2,3,4,1,5] => ([(1,4),(2,4),(3,4)],5) => 2
[3,1,2,-,-] => [2,3,1,4,5] => [2,3,1,4,5] => ([(2,4),(3,4)],5) => 2
[3,1,4,5,2] => [2,5,1,3,4] => [2,1,5,3,4] => ([(0,1),(2,4),(3,4)],5) => 2
[3,1,5,-,2] => [2,5,1,3,4] => [2,1,5,3,4] => ([(0,1),(2,4),(3,4)],5) => 2
[3,+,1,+,+] => [2,3,4,5,1] => [2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[3,+,1,+,-] => [2,3,4,1,5] => [2,3,4,1,5] => ([(1,4),(2,4),(3,4)],5) => 2
[3,-,1,+,-] => [3,4,1,2,5] => [3,1,4,2,5] => ([(1,4),(2,3),(3,4)],5) => 2
[3,+,1,-,-] => [2,3,1,4,5] => [2,3,1,4,5] => ([(2,4),(3,4)],5) => 2
[3,-,1,-,-] => [3,1,2,4,5] => [1,3,2,4,5] => ([(3,4)],5) => 2
[3,-,4,1,+] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[3,-,4,1,-] => [4,1,2,3,5] => [1,2,4,3,5] => ([(3,4)],5) => 2
[3,+,4,5,1] => [2,5,1,3,4] => [2,1,5,3,4] => ([(0,1),(2,4),(3,4)],5) => 2
[3,-,4,5,1] => [5,1,2,3,4] => [1,2,3,5,4] => ([(3,4)],5) => 2
[3,-,5,1,4] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[3,-,5,+,1] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[3,+,5,-,1] => [2,5,1,3,4] => [2,1,5,3,4] => ([(0,1),(2,4),(3,4)],5) => 2
[3,-,5,-,1] => [5,1,2,3,4] => [1,2,3,5,4] => ([(3,4)],5) => 2
[3,4,1,2,-] => [3,4,1,2,5] => [3,1,4,2,5] => ([(1,4),(2,3),(3,4)],5) => 2
[3,4,2,1,-] => [3,4,1,2,5] => [3,1,4,2,5] => ([(1,4),(2,3),(3,4)],5) => 2
[3,4,5,1,2] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[3,4,5,2,1] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[3,5,4,1,2] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[3,5,4,2,1] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[4,1,2,3,+] => [2,3,4,5,1] => [2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[4,1,2,3,-] => [2,3,4,1,5] => [2,3,4,1,5] => ([(1,4),(2,4),(3,4)],5) => 2
[4,1,+,2,+] => [2,3,4,5,1] => [2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[4,1,+,2,-] => [2,3,4,1,5] => [2,3,4,1,5] => ([(1,4),(2,4),(3,4)],5) => 2
[4,1,-,5,2] => [2,5,1,3,4] => [2,1,5,3,4] => ([(0,1),(2,4),(3,4)],5) => 2
[4,+,1,3,+] => [2,3,4,5,1] => [2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[4,+,1,3,-] => [2,3,4,1,5] => [2,3,4,1,5] => ([(1,4),(2,4),(3,4)],5) => 2
[4,-,1,3,-] => [3,4,1,2,5] => [3,1,4,2,5] => ([(1,4),(2,3),(3,4)],5) => 2
[4,+,+,1,+] => [2,3,4,5,1] => [2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[4,+,+,1,-] => [2,3,4,1,5] => [2,3,4,1,5] => ([(1,4),(2,4),(3,4)],5) => 2
[4,-,-,1,+] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[4,-,+,1,-] => [3,4,1,2,5] => [3,1,4,2,5] => ([(1,4),(2,3),(3,4)],5) => 2
[4,-,-,1,-] => [4,1,2,3,5] => [1,2,4,3,5] => ([(3,4)],5) => 2
[4,+,-,5,1] => [2,5,1,3,4] => [2,1,5,3,4] => ([(0,1),(2,4),(3,4)],5) => 2
[4,-,-,5,1] => [5,1,2,3,4] => [1,2,3,5,4] => ([(3,4)],5) => 2
[4,-,5,1,3] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[4,-,5,3,1] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[4,3,1,2,-] => [3,4,1,2,5] => [3,1,4,2,5] => ([(1,4),(2,3),(3,4)],5) => 2
[4,3,2,1,-] => [3,4,1,2,5] => [3,1,4,2,5] => ([(1,4),(2,3),(3,4)],5) => 2
[4,3,5,1,2] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[4,3,5,2,1] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[4,5,-,1,2] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[4,5,-,2,1] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[5,1,2,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[5,1,2,+,3] => [2,3,4,5,1] => [2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[5,1,+,2,4] => [2,3,4,5,1] => [2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[5,1,+,+,2] => [2,3,4,5,1] => [2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[5,1,-,-,2] => [2,5,1,3,4] => [2,1,5,3,4] => ([(0,1),(2,4),(3,4)],5) => 2
[5,+,1,3,4] => [2,3,4,5,1] => [2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[5,+,1,+,3] => [2,3,4,5,1] => [2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[5,+,+,1,4] => [2,3,4,5,1] => [2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[5,-,-,1,4] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[5,+,+,+,1] => [2,3,4,5,1] => [2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[5,-,-,+,1] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[5,+,-,-,1] => [2,5,1,3,4] => [2,1,5,3,4] => ([(0,1),(2,4),(3,4)],5) => 2
[5,-,-,-,1] => [5,1,2,3,4] => [1,2,3,5,4] => ([(3,4)],5) => 2
[5,-,4,1,3] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[5,-,4,3,1] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[5,3,4,1,2] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[5,3,4,2,1] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[5,4,-,1,2] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[5,4,-,2,1] => [4,5,1,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[+,+,+,+,+,+] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[-,+,+,+,+,+] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,+,+,+,-,+] => [1,2,3,4,6,5] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,+,+,+,+,-] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[-,+,+,+,+,-] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,+,+,-,-,+] => [1,2,3,6,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,+,+,-,+,-] => [1,2,3,5,4,6] => [5,1,2,3,4,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,+,+,+,-,-] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[-,+,+,+,-,-] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => ([(2,5),(3,5),(4,5)],6) => 2
[+,-,+,+,-,-] => [1,3,4,2,5,6] => [3,4,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 3
[+,+,-,-,-,+] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => 2
[+,+,-,-,+,-] => [1,2,5,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => 2
[+,+,-,+,-,-] => [1,2,4,3,5,6] => [4,1,2,3,5,6] => ([(2,5),(3,5),(4,5)],6) => 2
[+,+,+,-,-,-] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[-,-,-,-,+,+] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[-,-,-,+,+,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[-,-,+,-,-,+] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[-,-,+,+,-,-] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => ([(2,5),(3,4),(4,5)],6) => 2
[-,+,-,-,-,+] => [2,6,1,3,4,5] => [2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[-,+,-,-,+,-] => [2,5,1,3,4,6] => [2,1,5,3,4,6] => ([(1,2),(3,5),(4,5)],6) => 2
[-,+,+,-,-,-] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => ([(3,5),(4,5)],6) => 2
[+,-,-,-,-,+] => [1,6,2,3,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => 2
[+,-,-,-,+,-] => [1,5,2,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => 2
[+,-,-,+,-,-] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => 2
[+,-,+,-,-,-] => [1,3,2,4,5,6] => [3,1,2,4,5,6] => ([(3,5),(4,5)],6) => 2
[+,+,-,-,-,-] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[-,-,-,-,-,+] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[-,-,-,-,+,-] => [5,1,2,3,4,6] => [1,2,3,5,4,6] => ([(4,5)],6) => 2
[-,-,-,+,-,-] => [4,1,2,3,5,6] => [1,2,4,3,5,6] => ([(4,5)],6) => 2
[-,-,+,-,-,-] => [3,1,2,4,5,6] => [1,3,2,4,5,6] => ([(4,5)],6) => 2
[-,+,-,-,-,-] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(4,5)],6) => 2
[+,-,-,-,-,-] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[-,-,-,-,-,-] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[+,+,+,+,6,5] => [1,2,3,4,6,5] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,+,+,-,6,5] => [1,2,3,6,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,+,-,-,6,5] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => 2
[-,-,+,-,6,5] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[-,+,-,-,6,5] => [2,6,1,3,4,5] => [2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[+,-,-,-,6,5] => [1,6,2,3,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => 2
[-,-,-,-,6,5] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[+,+,+,5,4,-] => [1,2,3,5,4,6] => [5,1,2,3,4,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,+,-,5,4,-] => [1,2,5,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => 2
[-,-,-,5,4,+] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[-,+,-,5,4,-] => [2,5,1,3,4,6] => [2,1,5,3,4,6] => ([(1,2),(3,5),(4,5)],6) => 2
[+,-,-,5,4,-] => [1,5,2,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => 2
[-,-,-,5,4,-] => [5,1,2,3,4,6] => [1,2,3,5,4,6] => ([(4,5)],6) => 2
[+,+,+,5,6,4] => [1,2,3,6,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,+,-,5,6,4] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => 2
[-,-,+,5,6,4] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[-,+,-,5,6,4] => [2,6,1,3,4,5] => [2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[+,-,-,5,6,4] => [1,6,2,3,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => 2
[-,-,-,5,6,4] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[-,-,-,6,4,5] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[+,+,+,6,-,4] => [1,2,3,6,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[+,+,-,6,-,4] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => 2
[-,-,-,6,+,4] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[-,-,+,6,-,4] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[-,+,-,6,-,4] => [2,6,1,3,4,5] => [2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[+,-,-,6,-,4] => [1,6,2,3,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => 2
[-,-,-,6,-,4] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[+,+,4,3,-,-] => [1,2,4,3,5,6] => [4,1,2,3,5,6] => ([(2,5),(3,5),(4,5)],6) => 2
[-,-,4,3,+,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[+,-,4,3,-,-] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => 2
[-,-,4,3,-,-] => [4,1,2,3,5,6] => [1,2,4,3,5,6] => ([(4,5)],6) => 2
[+,+,4,5,3,-] => [1,2,5,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => 2
[-,-,4,5,3,+] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[-,+,4,5,3,-] => [2,5,1,3,4,6] => [2,1,5,3,4,6] => ([(1,2),(3,5),(4,5)],6) => 2
[+,-,4,5,3,-] => [1,5,2,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => 2
[-,-,4,5,3,-] => [5,1,2,3,4,6] => [1,2,3,5,4,6] => ([(4,5)],6) => 2
[+,+,4,5,6,3] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => 2
[-,+,4,5,6,3] => [2,6,1,3,4,5] => [2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[+,-,4,5,6,3] => [1,6,2,3,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => 2
[-,-,4,5,6,3] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[-,-,4,6,3,5] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[+,+,4,6,-,3] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => 2
[-,-,4,6,+,3] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[-,+,4,6,-,3] => [2,6,1,3,4,5] => [2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[+,-,4,6,-,3] => [1,6,2,3,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => 2
[-,-,4,6,-,3] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[-,-,5,3,4,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[+,+,5,-,3,-] => [1,2,5,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => 2
[-,-,5,-,3,+] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[-,-,5,+,3,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[-,+,5,-,3,-] => [2,5,1,3,4,6] => [2,1,5,3,4,6] => ([(1,2),(3,5),(4,5)],6) => 2
[+,-,5,-,3,-] => [1,5,2,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => 2
[-,-,5,-,3,-] => [5,1,2,3,4,6] => [1,2,3,5,4,6] => ([(4,5)],6) => 2
[+,+,5,-,6,3] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => 2
[-,+,5,-,6,3] => [2,6,1,3,4,5] => [2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[+,-,5,-,6,3] => [1,6,2,3,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => 2
[-,-,5,-,6,3] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[-,-,5,6,3,4] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[-,-,5,6,4,3] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[-,-,6,-,3,5] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[+,+,6,-,-,3] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => 2
[-,-,6,-,+,3] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[-,+,6,-,-,3] => [2,6,1,3,4,5] => [2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[+,-,6,-,-,3] => [1,6,2,3,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => 2
[-,-,6,-,-,3] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[-,-,6,5,3,4] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[-,-,6,5,4,3] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[+,3,2,+,-,-] => [1,3,4,2,5,6] => [3,4,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 3
[-,3,2,-,-,+] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[-,3,2,+,-,-] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => ([(2,5),(3,4),(4,5)],6) => 2
[+,3,2,-,-,-] => [1,3,2,4,5,6] => [3,1,2,4,5,6] => ([(3,5),(4,5)],6) => 2
[-,3,2,-,-,-] => [3,1,2,4,5,6] => [1,3,2,4,5,6] => ([(4,5)],6) => 2
[-,3,2,-,6,5] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[-,3,2,5,6,4] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[-,3,2,6,-,4] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[-,3,4,2,+,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[+,3,4,2,-,-] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => 2
[-,3,4,2,-,-] => [4,1,2,3,5,6] => [1,2,4,3,5,6] => ([(4,5)],6) => 2
[-,3,4,5,2,+] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[+,3,4,5,2,-] => [1,5,2,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => 2
[-,3,4,5,2,-] => [5,1,2,3,4,6] => [1,2,3,5,4,6] => ([(4,5)],6) => 2
[+,3,4,5,6,2] => [1,6,2,3,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => 2
[-,3,4,5,6,2] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[-,3,4,6,2,5] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[-,3,4,6,+,2] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[+,3,4,6,-,2] => [1,6,2,3,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => 2
[-,3,4,6,-,2] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[-,3,5,2,4,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[-,3,5,-,2,+] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[-,3,5,+,2,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[+,3,5,-,2,-] => [1,5,2,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => 2
[-,3,5,-,2,-] => [5,1,2,3,4,6] => [1,2,3,5,4,6] => ([(4,5)],6) => 2
[+,3,5,-,6,2] => [1,6,2,3,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => 2
[-,3,5,-,6,2] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[-,3,5,6,2,4] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[-,3,5,6,4,2] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[-,3,6,-,2,5] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[-,3,6,-,+,2] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[+,3,6,-,-,2] => [1,6,2,3,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => 2
[-,3,6,-,-,2] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[-,3,6,5,2,4] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[-,3,6,5,4,2] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[+,4,2,3,-,-] => [1,3,4,2,5,6] => [3,4,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 3
[-,4,2,3,-,-] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => ([(2,5),(3,4),(4,5)],6) => 2
[-,4,2,5,6,3] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[-,4,2,6,-,3] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[+,4,+,2,-,-] => [1,3,4,2,5,6] => [3,4,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 3
[-,4,-,2,+,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[-,4,+,2,-,-] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => ([(2,5),(3,4),(4,5)],6) => 2
[+,4,-,2,-,-] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => 2
[-,4,-,2,-,-] => [4,1,2,3,5,6] => [1,2,4,3,5,6] => ([(4,5)],6) => 2
[-,4,-,5,2,+] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[+,4,-,5,2,-] => [1,5,2,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => 2
[-,4,-,5,2,-] => [5,1,2,3,4,6] => [1,2,3,5,4,6] => ([(4,5)],6) => 2
[-,4,+,5,6,2] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[+,4,-,5,6,2] => [1,6,2,3,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => 2
[-,4,-,5,6,2] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[-,4,-,6,2,5] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[-,4,-,6,+,2] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[-,4,+,6,-,2] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[+,4,-,6,-,2] => [1,6,2,3,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => 2
[-,4,-,6,-,2] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[-,4,5,2,3,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[-,4,5,3,2,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[-,4,5,6,2,3] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[-,4,5,6,3,2] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[-,4,6,5,2,3] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[-,4,6,5,3,2] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[-,5,2,-,6,3] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[-,5,-,2,4,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[-,5,-,-,2,+] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[-,5,-,+,2,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[+,5,-,-,2,-] => [1,5,2,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => 2
[-,5,-,-,2,-] => [5,1,2,3,4,6] => [1,2,3,5,4,6] => ([(4,5)],6) => 2
[-,5,+,-,6,2] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[+,5,-,-,6,2] => [1,6,2,3,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => 2
[-,5,-,-,6,2] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[-,5,-,6,2,4] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[-,5,-,6,4,2] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[-,5,4,2,3,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[-,5,4,3,2,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[-,5,4,6,2,3] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[-,5,4,6,3,2] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[-,5,6,-,2,3] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[-,5,6,-,3,2] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[-,6,2,-,-,3] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[-,6,-,-,2,5] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[-,6,-,-,+,2] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[-,6,+,-,-,2] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[+,6,-,-,-,2] => [1,6,2,3,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => 2
[-,6,-,-,-,2] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[-,6,-,5,2,4] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[-,6,-,5,4,2] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[-,6,4,5,2,3] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[-,6,4,5,3,2] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[-,6,5,-,2,3] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[-,6,5,-,3,2] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[2,1,+,+,+,+] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,1,+,+,+,-] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,1,+,+,-,-] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => ([(2,5),(3,5),(4,5)],6) => 2
[2,1,-,-,-,+] => [2,6,1,3,4,5] => [2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[2,1,-,-,+,-] => [2,5,1,3,4,6] => [2,1,5,3,4,6] => ([(1,2),(3,5),(4,5)],6) => 2
[2,1,+,-,-,-] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => ([(3,5),(4,5)],6) => 2
[2,1,-,-,-,-] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(4,5)],6) => 2
[2,1,-,-,6,5] => [2,6,1,3,4,5] => [2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[2,1,-,5,4,-] => [2,5,1,3,4,6] => [2,1,5,3,4,6] => ([(1,2),(3,5),(4,5)],6) => 2
[2,1,-,5,6,4] => [2,6,1,3,4,5] => [2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[2,1,-,6,-,4] => [2,6,1,3,4,5] => [2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[2,1,4,5,3,-] => [2,5,1,3,4,6] => [2,1,5,3,4,6] => ([(1,2),(3,5),(4,5)],6) => 2
[2,1,4,5,6,3] => [2,6,1,3,4,5] => [2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[2,1,4,6,-,3] => [2,6,1,3,4,5] => [2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[2,1,5,-,3,-] => [2,5,1,3,4,6] => [2,1,5,3,4,6] => ([(1,2),(3,5),(4,5)],6) => 2
[2,1,5,-,6,3] => [2,6,1,3,4,5] => [2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[2,1,6,-,-,3] => [2,6,1,3,4,5] => [2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[2,3,1,-,-,+] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[2,3,1,+,-,-] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => ([(2,5),(3,4),(4,5)],6) => 2
[2,3,1,-,-,-] => [3,1,2,4,5,6] => [1,3,2,4,5,6] => ([(4,5)],6) => 2
[2,3,1,-,6,5] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[2,3,1,5,6,4] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[2,3,1,6,-,4] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[2,3,4,1,+,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[2,3,4,1,-,-] => [4,1,2,3,5,6] => [1,2,4,3,5,6] => ([(4,5)],6) => 2
[2,3,4,5,1,+] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[2,3,4,5,1,-] => [5,1,2,3,4,6] => [1,2,3,5,4,6] => ([(4,5)],6) => 2
[2,3,4,5,6,1] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[2,3,4,6,1,5] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[2,3,4,6,+,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[2,3,4,6,-,1] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[2,3,5,1,4,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[2,3,5,-,1,+] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[2,3,5,+,1,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[2,3,5,-,1,-] => [5,1,2,3,4,6] => [1,2,3,5,4,6] => ([(4,5)],6) => 2
[2,3,5,-,6,1] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[2,3,5,6,1,4] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[2,3,5,6,4,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[2,3,6,-,1,5] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[2,3,6,-,+,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[2,3,6,-,-,1] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[2,3,6,5,1,4] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[2,3,6,5,4,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[2,4,1,3,-,-] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => ([(2,5),(3,4),(4,5)],6) => 2
[2,4,1,5,6,3] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[2,4,1,6,-,3] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[2,4,-,1,+,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[2,4,+,1,-,-] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => ([(2,5),(3,4),(4,5)],6) => 2
[2,4,-,1,-,-] => [4,1,2,3,5,6] => [1,2,4,3,5,6] => ([(4,5)],6) => 2
[2,4,-,5,1,+] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[2,4,-,5,1,-] => [5,1,2,3,4,6] => [1,2,3,5,4,6] => ([(4,5)],6) => 2
[2,4,+,5,6,1] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[2,4,-,5,6,1] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[2,4,-,6,1,5] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[2,4,-,6,+,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[2,4,+,6,-,1] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[2,4,-,6,-,1] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[2,4,5,1,3,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[2,4,5,3,1,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[2,4,5,6,1,3] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[2,4,5,6,3,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[2,4,6,5,1,3] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[2,4,6,5,3,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[2,5,1,-,6,3] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[2,5,-,1,4,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[2,5,-,-,1,+] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[2,5,-,+,1,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[2,5,-,-,1,-] => [5,1,2,3,4,6] => [1,2,3,5,4,6] => ([(4,5)],6) => 2
[2,5,+,-,6,1] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[2,5,-,-,6,1] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[2,5,-,6,1,4] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[2,5,-,6,4,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[2,5,4,1,3,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[2,5,4,3,1,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[2,5,4,6,1,3] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[2,5,4,6,3,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[2,5,6,-,1,3] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[2,5,6,-,3,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[2,6,1,-,-,3] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[2,6,-,-,1,5] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[2,6,-,-,+,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[2,6,+,-,-,1] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[2,6,-,-,-,1] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[2,6,-,5,1,4] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[2,6,-,5,4,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[2,6,4,5,1,3] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[2,6,4,5,3,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[2,6,5,-,1,3] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[2,6,5,-,3,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[3,1,2,+,+,+] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,1,2,+,+,-] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,1,2,+,-,-] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => ([(2,5),(3,5),(4,5)],6) => 2
[3,1,2,-,-,-] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => ([(3,5),(4,5)],6) => 2
[3,1,4,5,2,-] => [2,5,1,3,4,6] => [2,1,5,3,4,6] => ([(1,2),(3,5),(4,5)],6) => 2
[3,1,4,5,6,2] => [2,6,1,3,4,5] => [2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[3,1,4,6,-,2] => [2,6,1,3,4,5] => [2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[3,1,5,-,2,-] => [2,5,1,3,4,6] => [2,1,5,3,4,6] => ([(1,2),(3,5),(4,5)],6) => 2
[3,1,5,-,6,2] => [2,6,1,3,4,5] => [2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[3,1,6,-,-,2] => [2,6,1,3,4,5] => [2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[3,+,1,+,+,+] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,+,1,+,+,-] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,+,1,+,-,-] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => ([(2,5),(3,5),(4,5)],6) => 2
[3,-,1,-,-,+] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[3,-,1,+,-,-] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => ([(2,5),(3,4),(4,5)],6) => 2
[3,+,1,-,-,-] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => ([(3,5),(4,5)],6) => 2
[3,-,1,-,-,-] => [3,1,2,4,5,6] => [1,3,2,4,5,6] => ([(4,5)],6) => 2
[3,-,1,-,6,5] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[3,-,1,5,6,4] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[3,-,1,6,-,4] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[3,-,4,1,+,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[3,-,4,1,-,-] => [4,1,2,3,5,6] => [1,2,4,3,5,6] => ([(4,5)],6) => 2
[3,-,4,5,1,+] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[3,+,4,5,1,-] => [2,5,1,3,4,6] => [2,1,5,3,4,6] => ([(1,2),(3,5),(4,5)],6) => 2
[3,-,4,5,1,-] => [5,1,2,3,4,6] => [1,2,3,5,4,6] => ([(4,5)],6) => 2
[3,+,4,5,6,1] => [2,6,1,3,4,5] => [2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[3,-,4,5,6,1] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[3,-,4,6,1,5] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[3,-,4,6,+,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[3,+,4,6,-,1] => [2,6,1,3,4,5] => [2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[3,-,4,6,-,1] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[3,-,5,1,4,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[3,-,5,-,1,+] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[3,-,5,+,1,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[3,+,5,-,1,-] => [2,5,1,3,4,6] => [2,1,5,3,4,6] => ([(1,2),(3,5),(4,5)],6) => 2
[3,-,5,-,1,-] => [5,1,2,3,4,6] => [1,2,3,5,4,6] => ([(4,5)],6) => 2
[3,+,5,-,6,1] => [2,6,1,3,4,5] => [2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[3,-,5,-,6,1] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[3,-,5,6,1,4] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[3,-,5,6,4,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[3,-,6,-,1,5] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[3,-,6,-,+,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[3,+,6,-,-,1] => [2,6,1,3,4,5] => [2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[3,-,6,-,-,1] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[3,-,6,5,1,4] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[3,-,6,5,4,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[3,4,1,2,-,-] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => ([(2,5),(3,4),(4,5)],6) => 2
[3,4,1,5,6,2] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[3,4,1,6,-,2] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[3,4,2,1,-,-] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => ([(2,5),(3,4),(4,5)],6) => 2
[3,4,2,5,6,1] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[3,4,2,6,-,1] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[3,4,5,1,2,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[3,4,5,2,1,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[3,4,5,6,1,2] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[3,4,5,6,2,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[3,4,6,5,1,2] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[3,4,6,5,2,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[3,5,1,-,6,2] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[3,5,2,-,6,1] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[3,5,4,1,2,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[3,5,4,2,1,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[3,5,4,6,1,2] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[3,5,4,6,2,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[3,5,6,-,1,2] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[3,5,6,-,2,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[3,6,1,-,-,2] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[3,6,2,-,-,1] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[3,6,4,5,1,2] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[3,6,4,5,2,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[3,6,5,-,1,2] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[3,6,5,-,2,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[4,1,2,3,+,+] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,1,2,3,+,-] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,1,2,3,-,-] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => ([(2,5),(3,5),(4,5)],6) => 2
[4,1,+,2,+,+] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,1,+,2,+,-] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,1,+,2,-,-] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => ([(2,5),(3,5),(4,5)],6) => 2
[4,1,-,5,2,-] => [2,5,1,3,4,6] => [2,1,5,3,4,6] => ([(1,2),(3,5),(4,5)],6) => 2
[4,1,-,5,6,2] => [2,6,1,3,4,5] => [2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[4,1,-,6,-,2] => [2,6,1,3,4,5] => [2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[4,+,1,3,+,+] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,+,1,3,+,-] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,+,1,3,-,-] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => ([(2,5),(3,5),(4,5)],6) => 2
[4,-,1,3,-,-] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => ([(2,5),(3,4),(4,5)],6) => 2
[4,-,1,5,6,3] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[4,-,1,6,-,3] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[4,+,+,1,+,+] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,+,+,1,+,-] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,+,+,1,-,-] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => ([(2,5),(3,5),(4,5)],6) => 2
[4,-,-,1,+,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[4,-,+,1,-,-] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => ([(2,5),(3,4),(4,5)],6) => 2
[4,-,-,1,-,-] => [4,1,2,3,5,6] => [1,2,4,3,5,6] => ([(4,5)],6) => 2
[4,-,-,5,1,+] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[4,+,-,5,1,-] => [2,5,1,3,4,6] => [2,1,5,3,4,6] => ([(1,2),(3,5),(4,5)],6) => 2
[4,-,-,5,1,-] => [5,1,2,3,4,6] => [1,2,3,5,4,6] => ([(4,5)],6) => 2
[4,-,+,5,6,1] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[4,+,-,5,6,1] => [2,6,1,3,4,5] => [2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[4,-,-,5,6,1] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[4,-,-,6,1,5] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[4,-,-,6,+,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[4,-,+,6,-,1] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[4,+,-,6,-,1] => [2,6,1,3,4,5] => [2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[4,-,-,6,-,1] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[4,-,5,1,3,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[4,-,5,3,1,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[4,-,5,6,1,3] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[4,-,5,6,3,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[4,-,6,5,1,3] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[4,-,6,5,3,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[4,3,1,2,-,-] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => ([(2,5),(3,4),(4,5)],6) => 2
[4,3,1,5,6,2] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[4,3,1,6,-,2] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[4,3,2,1,-,-] => [3,4,1,2,5,6] => [3,1,4,2,5,6] => ([(2,5),(3,4),(4,5)],6) => 2
[4,3,2,5,6,1] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[4,3,2,6,-,1] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[4,3,5,1,2,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[4,3,5,2,1,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[4,3,5,6,1,2] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[4,3,5,6,2,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[4,3,6,5,1,2] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[4,3,6,5,2,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[4,5,-,1,2,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[4,5,-,2,1,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[4,5,-,6,1,2] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[4,5,-,6,2,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[4,6,-,5,1,2] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[4,6,-,5,2,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[5,1,2,3,4,+] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,1,2,3,4,-] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,1,2,+,3,+] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,1,2,+,3,-] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,1,+,2,4,+] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,1,+,2,4,-] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,1,+,+,2,+] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,1,+,+,2,-] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,1,-,-,2,-] => [2,5,1,3,4,6] => [2,1,5,3,4,6] => ([(1,2),(3,5),(4,5)],6) => 2
[5,1,-,-,6,2] => [2,6,1,3,4,5] => [2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[5,+,1,3,4,+] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,+,1,3,4,-] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,+,1,+,3,+] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,+,1,+,3,-] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,-,1,-,6,3] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[5,+,+,1,4,+] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,+,+,1,4,-] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,-,-,1,4,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[5,+,+,+,1,+] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,+,+,+,1,-] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,-,-,-,1,+] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[5,-,-,+,1,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[5,+,-,-,1,-] => [2,5,1,3,4,6] => [2,1,5,3,4,6] => ([(1,2),(3,5),(4,5)],6) => 2
[5,-,-,-,1,-] => [5,1,2,3,4,6] => [1,2,3,5,4,6] => ([(4,5)],6) => 2
[5,-,+,-,6,1] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[5,+,-,-,6,1] => [2,6,1,3,4,5] => [2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[5,-,-,-,6,1] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[5,-,-,6,1,4] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[5,-,-,6,4,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[5,-,4,1,3,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[5,-,4,3,1,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[5,-,4,6,1,3] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[5,-,4,6,3,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[5,-,6,-,1,3] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[5,-,6,-,3,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[5,3,1,-,6,2] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[5,3,2,-,6,1] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[5,3,4,1,2,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[5,3,4,2,1,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[5,3,4,6,1,2] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[5,3,4,6,2,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[5,3,6,-,1,2] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[5,3,6,-,2,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[5,4,-,1,2,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[5,4,-,2,1,-] => [4,5,1,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[5,4,-,6,1,2] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[5,4,-,6,2,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[5,6,-,-,1,2] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[5,6,-,-,2,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[6,1,2,3,4,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,1,2,3,+,4] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,1,2,+,3,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,1,2,+,+,3] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,1,+,2,4,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,1,+,2,+,4] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,1,+,+,2,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,1,+,+,+,2] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,1,-,-,-,2] => [2,6,1,3,4,5] => [2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[6,+,1,3,4,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,+,1,3,+,4] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,+,1,+,3,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,+,1,+,+,3] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,-,1,-,-,3] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[6,+,+,1,4,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,+,+,1,+,4] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,+,+,+,1,5] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,-,-,-,1,5] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[6,+,+,+,+,1] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,-,-,-,+,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[6,-,+,-,-,1] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[6,+,-,-,-,1] => [2,6,1,3,4,5] => [2,1,3,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[6,-,-,-,-,1] => [6,1,2,3,4,5] => [1,2,3,4,6,5] => ([(4,5)],6) => 2
[6,-,-,5,1,4] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[6,-,-,5,4,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[6,-,4,5,1,3] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[6,-,4,5,3,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[6,-,5,-,1,3] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[6,-,5,-,3,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[6,3,1,-,-,2] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[6,3,2,-,-,1] => [3,6,1,2,4,5] => [1,3,2,6,4,5] => ([(1,2),(3,5),(4,5)],6) => 2
[6,3,4,5,1,2] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[6,3,4,5,2,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[6,3,5,-,1,2] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[6,3,5,-,2,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[6,4,-,5,1,2] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[6,4,-,5,2,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[6,5,-,-,1,2] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[6,5,-,-,2,1] => [5,6,1,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
click to show known generating functions       
Description
The hat guessing number of a graph.
Suppose that each vertex of a graph corresponds to a player, wearing a hat whose color is arbitrarily chosen from a set of $q$ possible colors. Each player can see the hat colors of his neighbors, but not his own hat color. All of the players are asked to guess their own hat colors simultaneously, according to a predetermined guessing strategy and the hat colors they see, where no communication between them is allowed. The hat guessing number $HG(G)$ of a graph $G$ is the largest integer $q$ such that there exists a guessing strategy guaranteeing at least one correct guess for any hat assignment of $q$ possible colors.
Because it suffices that a single player guesses correctly, the hat guessing number of a graph is the maximum of the hat guessing numbers of its connected components.
Map
graph of inversions
Description
The graph of inversions of a permutation.
For a permutation of $\{1,\dots,n\}$, this is the graph with vertices $\{1,\dots,n\}$, where $(i,j)$ is an edge if and only if it is an inversion of the permutation.
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
inverse Foata bijection
Description
The inverse of Foata's bijection.
See Mp00067Foata bijection.