Identifier
Values
[-,-,+,+] => [3,4,1,2] => ([(0,2),(0,3),(1,2),(1,3)],4) => 4
[-,4,+,2] => [3,2,1,4] => ([(1,2),(1,3),(2,3)],4) => 3
[3,-,1,+] => [1,4,3,2] => ([(1,2),(1,3),(2,3)],4) => 3
[-,-,+,+,+] => [3,4,5,1,2] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 4
[-,+,-,+,+] => [2,4,5,1,3] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => 4
[+,-,-,+,+] => [1,4,5,2,3] => ([(1,3),(1,4),(2,3),(2,4)],5) => 4
[-,-,-,+,+] => [4,5,1,2,3] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 4
[-,-,+,-,+] => [3,5,1,2,4] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => 4
[-,-,+,+,-] => [3,4,1,2,5] => ([(1,3),(1,4),(2,3),(2,4)],5) => 4
[-,-,+,5,4] => [3,4,1,2,5] => ([(1,3),(1,4),(2,3),(2,4)],5) => 4
[-,-,4,3,+] => [3,5,1,2,4] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => 4
[-,-,5,3,4] => [3,4,1,2,5] => ([(1,3),(1,4),(2,3),(2,4)],5) => 4
[-,+,5,+,3] => [2,4,3,1,5] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[+,-,5,+,3] => [1,4,3,2,5] => ([(2,3),(2,4),(3,4)],5) => 3
[-,-,5,+,3] => [4,3,1,2,5] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[-,3,2,+,+] => [2,4,5,1,3] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => 4
[-,3,5,+,2] => [4,2,1,3,5] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[-,4,+,2,+] => [3,2,5,1,4] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 3
[+,4,-,2,+] => [1,2,5,4,3] => ([(2,3),(2,4),(3,4)],5) => 3
[-,4,-,2,+] => [2,5,1,4,3] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 3
[-,4,+,2,-] => [3,2,1,4,5] => ([(2,3),(2,4),(3,4)],5) => 3
[-,4,+,5,2] => [3,2,1,4,5] => ([(2,3),(2,4),(3,4)],5) => 3
[-,4,5,3,2] => [3,2,1,4,5] => ([(2,3),(2,4),(3,4)],5) => 3
[-,5,2,+,3] => [2,4,3,1,5] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[-,5,+,2,4] => [3,2,4,1,5] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[-,5,+,+,2] => [3,4,2,1,5] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[-,5,-,+,2] => [4,2,1,5,3] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 3
[-,5,+,-,2] => [3,2,1,5,4] => ([(0,1),(2,3),(2,4),(3,4)],5) => 3
[-,5,4,3,2] => [3,2,1,5,4] => ([(0,1),(2,3),(2,4),(3,4)],5) => 3
[2,1,-,+,+] => [1,4,5,2,3] => ([(1,3),(1,4),(2,3),(2,4)],5) => 4
[2,1,5,+,3] => [1,4,3,2,5] => ([(2,3),(2,4),(3,4)],5) => 3
[2,3,1,+,+] => [1,4,5,2,3] => ([(1,3),(1,4),(2,3),(2,4)],5) => 4
[2,4,-,1,+] => [1,5,2,4,3] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[2,5,1,+,3] => [1,4,3,2,5] => ([(2,3),(2,4),(3,4)],5) => 3
[2,5,+,+,1] => [3,4,1,2,5] => ([(1,3),(1,4),(2,3),(2,4)],5) => 4
[3,-,1,+,+] => [1,4,5,3,2] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[3,-,1,-,+] => [1,5,3,2,4] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[3,-,1,+,-] => [1,4,3,2,5] => ([(2,3),(2,4),(3,4)],5) => 3
[3,-,1,5,4] => [1,4,3,2,5] => ([(2,3),(2,4),(3,4)],5) => 3
[3,-,4,1,+] => [1,5,3,2,4] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[3,-,5,1,4] => [1,4,3,2,5] => ([(2,3),(2,4),(3,4)],5) => 3
[3,-,5,+,1] => [4,1,3,2,5] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[4,1,-,2,+] => [1,2,5,4,3] => ([(2,3),(2,4),(3,4)],5) => 3
[4,-,1,3,+] => [1,3,5,4,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[4,-,+,1,+] => [3,1,5,4,2] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 3
[4,+,-,1,+] => [2,1,5,4,3] => ([(0,1),(2,3),(2,4),(3,4)],5) => 3
[4,-,-,1,+] => [1,5,4,2,3] => ([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[4,3,1,2,+] => [1,2,5,4,3] => ([(2,3),(2,4),(3,4)],5) => 3
[4,3,2,1,+] => [2,1,5,4,3] => ([(0,1),(2,3),(2,4),(3,4)],5) => 3
[4,5,+,2,1] => [3,2,1,4,5] => ([(2,3),(2,4),(3,4)],5) => 3
[5,-,1,+,3] => [1,4,3,5,2] => ([(1,4),(2,3),(2,4),(3,4)],5) => 3
[5,-,-,1,4] => [1,4,5,2,3] => ([(1,3),(1,4),(2,3),(2,4)],5) => 4
[5,-,+,+,1] => [3,4,1,5,2] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => 4
[5,-,-,+,1] => [4,1,5,2,3] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => 4
[5,4,-,1,2] => [1,2,5,4,3] => ([(2,3),(2,4),(3,4)],5) => 3
[5,4,+,2,1] => [3,2,1,5,4] => ([(0,1),(2,3),(2,4),(3,4)],5) => 3
[5,4,-,2,1] => [2,1,5,4,3] => ([(0,1),(2,3),(2,4),(3,4)],5) => 3
[-,-,+,+,+,+] => [3,4,5,6,1,2] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[-,+,-,+,+,+] => [2,4,5,6,1,3] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[-,+,+,-,+,+] => [2,3,5,6,1,4] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[+,-,-,+,+,+] => [1,4,5,6,2,3] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[+,-,+,-,+,+] => [1,3,5,6,2,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[+,+,-,-,+,+] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[-,-,-,+,+,+] => [4,5,6,1,2,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 4
[-,-,+,-,+,+] => [3,5,6,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 4
[-,-,+,+,-,+] => [3,4,6,1,2,5] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 4
[-,-,+,+,+,-] => [3,4,5,1,2,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[-,+,-,-,+,+] => [2,5,6,1,3,4] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 4
[-,+,-,+,-,+] => [2,4,6,1,3,5] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 4
[-,+,-,+,+,-] => [2,4,5,1,3,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[+,-,-,-,+,+] => [1,5,6,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[+,-,-,+,-,+] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[+,-,-,+,+,-] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[-,-,-,-,+,+] => [5,6,1,2,3,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[-,-,-,+,-,+] => [4,6,1,2,3,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[-,-,-,+,+,-] => [4,5,1,2,3,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[-,-,+,-,-,+] => [3,6,1,2,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[-,-,+,-,+,-] => [3,5,1,2,4,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[-,-,+,+,-,-] => [3,4,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[-,-,+,+,6,5] => [3,4,5,1,2,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[-,+,-,+,6,5] => [2,4,5,1,3,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[+,-,-,+,6,5] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[-,-,-,+,6,5] => [4,5,1,2,3,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[-,-,+,-,6,5] => [3,5,1,2,4,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[-,-,+,5,4,+] => [3,4,6,1,2,5] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 4
[-,+,-,5,4,+] => [2,4,6,1,3,5] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 4
[+,-,-,5,4,+] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[-,-,-,5,4,+] => [4,6,1,2,3,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[-,-,+,5,4,-] => [3,4,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[-,-,+,5,6,4] => [3,4,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[-,-,+,6,4,5] => [3,4,5,1,2,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[-,+,-,6,4,5] => [2,4,5,1,3,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[+,-,-,6,4,5] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[-,-,-,6,4,5] => [4,5,1,2,3,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[-,+,+,6,+,4] => [2,3,5,4,1,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,-,+,6,+,4] => [1,3,5,4,2,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,+,-,6,+,4] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 3
[-,-,+,6,+,4] => [3,5,4,1,2,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => 3
[-,+,-,6,+,4] => [2,5,4,1,3,6] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 3
[+,-,-,6,+,4] => [1,5,4,2,3,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,-,-,6,+,4] => [5,4,1,2,3,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
>>> Load all 729 entries. <<<
[-,-,+,6,-,4] => [3,4,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 4
[-,+,4,3,+,+] => [2,3,5,6,1,4] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[+,-,4,3,+,+] => [1,3,5,6,2,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[-,-,4,3,+,+] => [3,5,6,1,2,4] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 4
[-,-,4,3,-,+] => [3,6,1,2,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[-,-,4,3,+,-] => [3,5,1,2,4,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[-,-,4,3,6,5] => [3,5,1,2,4,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[-,-,4,5,3,+] => [3,6,1,2,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[-,-,4,6,3,5] => [3,5,1,2,4,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[-,+,4,6,+,3] => [2,5,3,1,4,6] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => 3
[+,-,4,6,+,3] => [1,5,3,2,4,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,-,4,6,+,3] => [5,3,1,2,4,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,-,5,3,4,+] => [3,4,6,1,2,5] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 4
[-,-,5,3,4,-] => [3,4,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[-,-,5,3,6,4] => [3,4,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[-,+,5,+,3,+] => [2,4,3,6,1,5] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => 3
[+,-,5,+,3,+] => [1,4,3,6,2,5] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[+,+,5,-,3,+] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 3
[-,-,5,+,3,+] => [4,3,6,1,2,5] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 3
[-,+,5,-,3,+] => [2,3,6,1,5,4] => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[-,+,5,+,3,-] => [2,4,3,1,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,-,5,-,3,+] => [1,3,6,2,5,4] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[+,-,5,+,3,-] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6) => 3
[-,-,5,-,3,+] => [3,6,1,2,5,4] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6) => 3
[-,-,5,+,3,-] => [4,3,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,+,5,+,6,3] => [2,4,3,1,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,-,5,+,6,3] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6) => 3
[-,-,5,+,6,3] => [4,3,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,-,5,6,3,4] => [3,4,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[-,+,5,6,4,3] => [2,4,3,1,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,-,5,6,4,3] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6) => 3
[-,-,5,6,4,3] => [4,3,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,-,6,3,4,5] => [3,4,5,1,2,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[-,+,6,3,+,4] => [2,3,5,4,1,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,-,6,3,+,4] => [1,3,5,4,2,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,-,6,3,+,4] => [3,5,4,1,2,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => 3
[-,-,6,3,-,4] => [3,4,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 4
[-,+,6,+,3,5] => [2,4,3,5,1,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,-,6,+,3,5] => [1,4,3,5,2,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,-,6,+,3,5] => [4,3,5,1,2,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => 3
[-,-,6,-,3,5] => [3,5,1,2,6,4] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => 4
[-,+,6,+,+,3] => [2,4,5,3,1,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,-,6,+,+,3] => [1,4,5,3,2,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,-,6,+,+,3] => [4,5,3,1,2,6] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 3
[-,+,6,-,+,3] => [2,5,3,1,6,4] => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,+,6,+,-,3] => [2,4,3,1,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,-,6,-,+,3] => [1,5,3,2,6,4] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[+,-,6,+,-,3] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[-,-,6,-,+,3] => [5,3,1,2,6,4] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) => 3
[-,-,6,+,-,3] => [4,3,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,-,6,5,3,4] => [3,4,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 4
[-,+,6,5,4,3] => [2,4,3,1,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,-,6,5,4,3] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[-,-,6,5,4,3] => [4,3,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,3,2,+,+,+] => [2,4,5,6,1,3] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[+,3,2,-,+,+] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[-,3,2,-,+,+] => [2,5,6,1,3,4] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 4
[-,3,2,+,-,+] => [2,4,6,1,3,5] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 4
[-,3,2,+,+,-] => [2,4,5,1,3,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[-,3,2,+,6,5] => [2,4,5,1,3,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[-,3,2,5,4,+] => [2,4,6,1,3,5] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 4
[-,3,2,6,4,5] => [2,4,5,1,3,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[+,3,2,6,+,4] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 3
[-,3,2,6,+,4] => [2,5,4,1,3,6] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 3
[+,3,4,2,+,+] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[-,3,4,2,+,+] => [2,5,6,1,3,4] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 4
[-,3,4,6,+,2] => [5,2,1,3,4,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,3,5,2,4,+] => [2,4,6,1,3,5] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 4
[-,3,5,+,2,+] => [4,2,6,1,3,5] => ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 3
[+,3,5,-,2,+] => [1,2,6,3,5,4] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,3,5,-,2,+] => [2,6,1,3,5,4] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => 3
[-,3,5,+,2,-] => [4,2,1,3,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,3,5,+,6,2] => [4,2,1,3,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,3,5,6,4,2] => [4,2,1,3,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,3,6,2,4,5] => [2,4,5,1,3,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[+,3,6,2,+,4] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 3
[-,3,6,2,+,4] => [2,5,4,1,3,6] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 3
[-,3,6,+,2,5] => [4,2,5,1,3,6] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => 3
[+,3,6,+,+,2] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[-,3,6,+,+,2] => [4,5,2,1,3,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => 3
[-,3,6,-,+,2] => [5,2,1,3,6,4] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => 3
[-,3,6,+,-,2] => [4,2,1,3,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,3,6,5,4,2] => [4,2,1,3,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,2,3,+,+] => [2,3,5,6,1,4] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[-,4,2,6,+,3] => [2,5,3,1,4,6] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => 3
[-,4,+,2,+,+] => [3,2,5,6,1,4] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6) => 3
[+,4,-,2,+,+] => [1,2,5,6,4,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,-,2,+,+] => [2,5,6,1,4,3] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 3
[-,4,+,2,-,+] => [3,2,6,1,4,5] => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[-,4,+,2,+,-] => [3,2,5,1,4,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[+,4,-,2,-,+] => [1,2,6,4,3,5] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,4,-,2,+,-] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 3
[-,4,-,2,-,+] => [2,6,1,4,3,5] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => 3
[-,4,-,2,+,-] => [2,5,1,4,3,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[-,4,+,2,-,-] => [3,2,1,4,5,6] => ([(3,4),(3,5),(4,5)],6) => 3
[-,4,+,2,6,5] => [3,2,5,1,4,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[+,4,-,2,6,5] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 3
[-,4,-,2,6,5] => [2,5,1,4,3,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[-,4,+,5,2,+] => [3,2,6,1,4,5] => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[+,4,-,5,2,+] => [1,2,6,4,3,5] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,-,5,2,+] => [2,6,1,4,3,5] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => 3
[-,4,+,5,2,-] => [3,2,1,4,5,6] => ([(3,4),(3,5),(4,5)],6) => 3
[-,4,+,5,6,2] => [3,2,1,4,5,6] => ([(3,4),(3,5),(4,5)],6) => 3
[-,4,+,6,2,5] => [3,2,5,1,4,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[+,4,-,6,2,5] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 3
[-,4,-,6,2,5] => [2,5,1,4,3,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[-,4,+,6,+,2] => [3,5,2,1,4,6] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 3
[+,4,-,6,+,2] => [1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,4,-,6,+,2] => [5,2,1,4,3,6] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => 3
[-,4,+,6,-,2] => [3,2,1,4,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[-,4,5,3,2,+] => [3,2,6,1,4,5] => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[-,4,5,3,2,-] => [3,2,1,4,5,6] => ([(3,4),(3,5),(4,5)],6) => 3
[-,4,5,3,6,2] => [3,2,1,4,5,6] => ([(3,4),(3,5),(4,5)],6) => 3
[-,4,5,6,3,2] => [3,2,1,4,5,6] => ([(3,4),(3,5),(4,5)],6) => 3
[-,4,6,2,+,3] => [2,5,3,1,4,6] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => 3
[-,4,6,3,2,5] => [3,2,5,1,4,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[-,4,6,3,+,2] => [3,5,2,1,4,6] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 3
[-,4,6,3,-,2] => [3,2,1,4,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[-,4,6,5,3,2] => [3,2,1,4,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[-,5,2,+,3,+] => [2,4,3,6,1,5] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => 3
[+,5,2,-,3,+] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 3
[-,5,2,-,3,+] => [2,3,6,1,5,4] => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[-,5,2,+,3,-] => [2,4,3,1,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,2,+,6,3] => [2,4,3,1,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,2,6,4,3] => [2,4,3,1,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,+,2,4,+] => [3,2,4,6,1,5] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => 3
[+,5,-,2,4,+] => [1,2,4,6,5,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,-,2,4,+] => [2,4,6,1,5,3] => ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 3
[-,5,+,2,4,-] => [3,2,4,1,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,+,2,6,4] => [3,2,4,1,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,+,+,2,+] => [3,4,2,6,1,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) => 3
[+,5,-,+,2,+] => [1,4,2,6,5,3] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[+,5,+,-,2,+] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[-,5,-,+,2,+] => [4,2,6,1,5,3] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6) => 3
[-,5,+,-,2,+] => [3,2,6,1,5,4] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6) => 3
[-,5,+,+,2,-] => [3,4,2,1,5,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,-,-,2,+] => [1,2,6,5,3,4] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,-,-,2,+] => [2,6,1,5,3,4] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) => 3
[-,5,-,+,2,-] => [4,2,1,5,3,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[-,5,+,-,2,-] => [3,2,1,5,4,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[-,5,+,+,6,2] => [3,4,2,1,5,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,-,+,6,2] => [4,2,1,5,3,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[-,5,+,-,6,2] => [3,2,1,5,4,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[-,5,+,6,2,4] => [3,2,4,1,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,+,6,4,2] => [3,4,2,1,5,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,-,6,4,2] => [4,2,1,5,3,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[+,5,4,2,3,+] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 3
[-,5,4,2,3,+] => [2,3,6,1,5,4] => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[+,5,4,3,2,+] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[-,5,4,3,2,+] => [3,2,6,1,5,4] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6) => 3
[-,5,4,3,2,-] => [3,2,1,5,4,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[-,5,4,3,6,2] => [3,2,1,5,4,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[-,5,4,6,3,2] => [3,2,1,5,4,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[-,5,6,2,4,3] => [2,4,3,1,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,6,3,2,4] => [3,2,4,1,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,6,3,4,2] => [3,4,2,1,5,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,6,+,2,3] => [4,2,3,1,5,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,5,6,+,3,2] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6) => 3
[-,5,6,+,3,2] => [4,3,2,1,5,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,5,6,-,3,2] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 3
[-,6,2,3,+,4] => [2,3,5,4,1,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,2,+,3,5] => [2,4,3,5,1,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,2,+,+,3] => [2,4,5,3,1,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,2,-,+,3] => [2,5,3,1,6,4] => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,2,+,-,3] => [2,4,3,1,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,2,5,4,3] => [2,4,3,1,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,+,2,4,5] => [3,2,4,5,1,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,-,2,4,5] => [2,4,5,1,6,3] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 4
[-,6,+,2,+,4] => [3,2,5,4,1,6] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => 3
[+,6,-,2,+,4] => [1,2,5,4,6,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,-,2,+,4] => [2,5,4,1,6,3] => ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => 3
[-,6,+,2,-,4] => [3,2,4,1,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,+,+,2,5] => [3,4,2,5,1,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,-,+,2,5] => [4,2,5,1,6,3] => ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 3
[-,6,+,-,2,5] => [3,2,5,1,6,4] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => 3
[+,6,-,-,2,5] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[-,6,-,-,2,5] => [2,5,1,6,3,4] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => 4
[-,6,+,+,+,2] => [3,4,5,2,1,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,-,+,+,2] => [1,4,5,2,6,3] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[-,6,-,+,+,2] => [4,5,2,1,6,3] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 3
[-,6,+,-,+,2] => [3,5,2,1,6,4] => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => 3
[-,6,+,+,-,2] => [3,4,2,1,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,-,-,+,2] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[-,6,-,-,+,2] => [5,2,1,6,3,4] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6) => 3
[-,6,-,+,-,2] => [4,2,1,6,3,5] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => 3
[-,6,+,-,-,2] => [3,2,1,6,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 3
[-,6,+,5,2,4] => [3,2,4,1,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,+,5,4,2] => [3,4,2,1,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,-,5,4,2] => [4,2,1,6,3,5] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => 3
[-,6,4,2,+,3] => [2,5,3,1,6,4] => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,4,3,2,5] => [3,2,5,1,6,4] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => 3
[-,6,4,3,+,2] => [3,5,2,1,6,4] => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => 3
[-,6,4,3,-,2] => [3,2,1,6,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 3
[-,6,4,5,3,2] => [3,2,1,6,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 3
[-,6,5,2,4,3] => [2,4,3,1,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,5,3,2,4] => [3,2,4,1,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,5,3,4,2] => [3,4,2,1,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[-,6,5,+,2,3] => [4,2,3,1,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,5,-,2,3] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 3
[-,6,5,-,2,3] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 3
[+,6,5,+,3,2] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[-,6,5,+,3,2] => [4,3,2,1,6,5] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[+,6,5,-,3,2] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[-,6,5,-,3,2] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 3
[2,1,-,+,+,+] => [1,4,5,6,2,3] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,1,+,-,+,+] => [1,3,5,6,2,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[2,1,-,-,+,+] => [1,5,6,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,1,-,+,-,+] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[2,1,-,+,+,-] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,1,-,+,6,5] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,1,-,5,4,+] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[2,1,-,6,4,5] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,1,+,6,+,4] => [1,3,5,4,2,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,1,-,6,+,4] => [1,5,4,2,3,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,1,4,3,+,+] => [1,3,5,6,2,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[2,1,4,6,+,3] => [1,5,3,2,4,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,1,5,+,3,+] => [1,4,3,6,2,5] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[2,1,5,-,3,+] => [1,3,6,2,5,4] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[2,1,5,+,3,-] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6) => 3
[2,1,5,+,6,3] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6) => 3
[2,1,5,6,4,3] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6) => 3
[2,1,6,3,+,4] => [1,3,5,4,2,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,1,6,+,3,5] => [1,4,3,5,2,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,1,6,+,+,3] => [1,4,5,3,2,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,1,6,-,+,3] => [1,5,3,2,6,4] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[2,1,6,+,-,3] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[2,1,6,5,4,3] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[2,3,1,+,+,+] => [1,4,5,6,2,3] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,3,1,-,+,+] => [1,5,6,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,3,1,+,-,+] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[2,3,1,+,+,-] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,3,1,+,6,5] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,3,1,5,4,+] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[2,3,1,6,4,5] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,3,1,6,+,4] => [1,5,4,2,3,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,3,4,1,+,+] => [1,5,6,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,3,5,1,4,+] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[2,3,5,+,1,+] => [4,1,6,2,3,5] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,3,5,-,1,+] => [1,6,2,3,5,4] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,3,6,1,4,5] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,3,6,1,+,4] => [1,5,4,2,3,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,3,6,+,1,5] => [4,1,5,2,3,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[2,3,6,+,+,1] => [4,5,1,2,3,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,4,1,3,+,+] => [1,3,5,6,2,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[2,4,1,6,+,3] => [1,5,3,2,4,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,4,+,1,+,+] => [3,1,5,6,2,4] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => 4
[2,4,-,1,+,+] => [1,5,6,2,4,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => 3
[2,4,-,1,-,+] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,4,-,1,+,-] => [1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,4,-,1,6,5] => [1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,4,-,5,1,+] => [1,6,2,4,3,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,4,-,6,1,5] => [1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,4,+,6,+,1] => [3,5,1,2,4,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[2,4,-,6,+,1] => [5,1,2,4,3,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,4,6,1,+,3] => [1,5,3,2,4,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,4,6,3,+,1] => [3,5,1,2,4,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[2,5,1,+,3,+] => [1,4,3,6,2,5] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[2,5,1,-,3,+] => [1,3,6,2,5,4] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[2,5,1,+,3,-] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6) => 3
[2,5,1,+,6,3] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6) => 3
[2,5,1,6,4,3] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6) => 3
[2,5,-,1,4,+] => [1,4,6,2,5,3] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => 3
[2,5,+,+,1,+] => [3,4,1,6,2,5] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => 4
[2,5,-,+,1,+] => [4,1,6,2,5,3] => ([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 3
[2,5,+,-,1,+] => [3,1,6,2,5,4] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => 3
[2,5,+,+,1,-] => [3,4,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,5,-,-,1,+] => [1,6,2,5,3,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,5,+,+,6,1] => [3,4,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,5,+,6,4,1] => [3,4,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,5,4,1,3,+] => [1,3,6,2,5,4] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[2,5,4,3,1,+] => [3,1,6,2,5,4] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => 3
[2,5,6,1,4,3] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6) => 3
[2,5,6,3,4,1] => [3,4,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,5,6,+,1,3] => [4,1,3,2,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,5,6,+,3,1] => [4,3,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,6,1,3,+,4] => [1,3,5,4,2,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,6,1,+,3,5] => [1,4,3,5,2,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,6,1,+,+,3] => [1,4,5,3,2,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,6,1,-,+,3] => [1,5,3,2,6,4] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[2,6,1,+,-,3] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[2,6,1,5,4,3] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[2,6,-,1,4,5] => [1,4,5,2,6,3] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[2,6,+,1,+,4] => [3,1,5,4,2,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[2,6,-,1,+,4] => [1,5,4,2,6,3] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 3
[2,6,+,+,1,5] => [3,4,1,5,2,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[2,6,-,+,1,5] => [4,1,5,2,6,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 4
[2,6,-,-,1,5] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[2,6,+,+,+,1] => [3,4,5,1,2,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,6,-,+,+,1] => [4,5,1,2,6,3] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 4
[2,6,+,-,+,1] => [3,5,1,2,6,4] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => 4
[2,6,+,+,-,1] => [3,4,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,6,-,-,+,1] => [5,1,2,6,3,4] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[2,6,+,5,4,1] => [3,4,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,6,4,1,+,3] => [1,5,3,2,6,4] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[2,6,4,3,+,1] => [3,5,1,2,6,4] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => 4
[2,6,5,1,4,3] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[2,6,5,3,4,1] => [3,4,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 4
[2,6,5,+,1,3] => [4,1,3,2,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,6,5,-,1,3] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[2,6,5,+,3,1] => [4,3,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,6,5,-,3,1] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 3
[3,1,2,-,+,+] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[3,1,2,6,+,4] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 3
[3,1,4,2,+,+] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[3,1,5,-,2,+] => [1,2,6,3,5,4] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,1,6,2,+,4] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 3
[3,1,6,+,+,2] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[3,-,1,+,+,+] => [1,4,5,6,3,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,+,1,-,+,+] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 4
[3,-,1,-,+,+] => [1,5,6,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => 3
[3,-,1,+,-,+] => [1,4,6,3,2,5] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 3
[3,-,1,+,+,-] => [1,4,5,3,2,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,1,-,-,+] => [1,6,3,2,4,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,1,-,+,-] => [1,5,3,2,4,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,1,+,-,-] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6) => 3
[3,-,1,+,6,5] => [1,4,5,3,2,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,1,-,6,5] => [1,5,3,2,4,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,1,5,4,+] => [1,4,6,3,2,5] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 3
[3,-,1,5,4,-] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6) => 3
[3,-,1,5,6,4] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6) => 3
[3,-,1,6,4,5] => [1,4,5,3,2,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,+,1,6,+,4] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[3,-,1,6,+,4] => [1,5,4,3,2,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,1,6,-,4] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[3,+,4,1,+,+] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 4
[3,-,4,1,+,+] => [1,5,6,3,2,4] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => 3
[3,-,4,1,-,+] => [1,6,3,2,4,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,4,1,+,-] => [1,5,3,2,4,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,4,1,6,5] => [1,5,3,2,4,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,4,5,1,+] => [1,6,3,2,4,5] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,4,6,1,5] => [1,5,3,2,4,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,4,6,+,1] => [5,1,3,2,4,6] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,5,1,4,+] => [1,4,6,3,2,5] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 3
[3,-,5,1,4,-] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6) => 3
[3,-,5,1,6,4] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6) => 3
[3,-,5,+,1,+] => [4,1,6,3,2,5] => ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => 3
[3,+,5,-,1,+] => [2,1,6,3,5,4] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,5,-,1,+] => [1,6,3,2,5,4] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => 3
[3,-,5,+,1,-] => [4,1,3,2,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,5,+,6,1] => [4,1,3,2,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,5,6,1,4] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6) => 3
[3,-,5,6,4,1] => [4,1,3,2,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,6,1,4,5] => [1,4,5,3,2,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,+,6,1,+,4] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[3,-,6,1,+,4] => [1,5,4,3,2,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,6,1,-,4] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[3,-,6,+,1,5] => [4,1,5,3,2,6] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 3
[3,-,6,-,1,5] => [1,5,3,2,6,4] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[3,+,6,+,+,1] => [2,4,5,1,3,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[3,-,6,+,+,1] => [4,5,1,3,2,6] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => 3
[3,-,6,-,+,1] => [5,1,3,2,6,4] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => 3
[3,-,6,+,-,1] => [4,1,3,2,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,-,6,5,1,4] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[3,-,6,5,4,1] => [4,1,3,2,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,4,1,2,+,+] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[3,4,2,1,+,+] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 4
[3,5,1,-,2,+] => [1,2,6,3,5,4] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,5,2,-,1,+] => [2,1,6,3,5,4] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,5,4,1,2,+] => [1,2,6,3,5,4] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,5,4,2,1,+] => [2,1,6,3,5,4] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,5,6,+,2,1] => [4,2,1,3,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,6,1,2,+,4] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 3
[3,6,1,+,+,2] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[3,6,2,1,+,4] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[3,6,2,+,+,1] => [2,4,5,1,3,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[3,6,5,-,1,2] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 3
[3,6,5,+,2,1] => [4,2,1,3,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,6,5,-,2,1] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[4,1,-,2,+,+] => [1,2,5,6,4,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,1,-,2,-,+] => [1,2,6,4,3,5] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,1,-,2,+,-] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 3
[4,1,-,2,6,5] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 3
[4,1,-,5,2,+] => [1,2,6,4,3,5] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,1,-,6,2,5] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 3
[4,1,-,6,+,2] => [1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,1,3,+,+] => [1,3,5,6,4,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,1,3,-,+] => [1,3,6,4,2,5] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => 3
[4,-,1,3,+,-] => [1,3,5,4,2,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,1,3,6,5] => [1,3,5,4,2,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,1,5,3,+] => [1,3,6,4,2,5] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => 3
[4,-,1,6,3,5] => [1,3,5,4,2,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,1,6,+,3] => [1,5,3,4,2,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,+,1,+,+] => [3,1,5,6,4,2] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) => 3
[4,+,-,1,+,+] => [2,1,5,6,4,3] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,-,1,+,+] => [1,5,6,4,2,3] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => 3
[4,-,+,1,-,+] => [3,1,6,4,2,5] => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,+,1,+,-] => [3,1,5,4,2,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[4,+,-,1,-,+] => [2,1,6,4,3,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,+,-,1,+,-] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[4,-,-,1,-,+] => [1,6,4,2,3,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,-,1,+,-] => [1,5,4,2,3,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,+,1,6,5] => [3,1,5,4,2,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[4,+,-,1,6,5] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[4,-,-,1,6,5] => [1,5,4,2,3,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,+,5,1,+] => [3,1,6,4,2,5] => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,+,-,5,1,+] => [2,1,6,4,3,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,-,5,1,+] => [1,6,4,2,3,5] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,+,6,1,5] => [3,1,5,4,2,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[4,+,-,6,1,5] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[4,-,-,6,1,5] => [1,5,4,2,3,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,+,6,+,1] => [3,5,1,4,2,6] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => 3
[4,+,-,6,+,1] => [2,5,1,4,3,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[4,-,-,6,+,1] => [5,1,4,2,3,6] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,5,1,3,+] => [1,3,6,4,2,5] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => 3
[4,-,5,3,1,+] => [3,1,6,4,2,5] => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,6,1,3,5] => [1,3,5,4,2,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,6,1,+,3] => [1,5,3,4,2,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,-,6,3,1,5] => [3,1,5,4,2,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[4,-,6,3,+,1] => [3,5,1,4,2,6] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => 3
[4,3,1,2,+,+] => [1,2,5,6,4,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,1,2,-,+] => [1,2,6,4,3,5] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,1,2,+,-] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 3
[4,3,1,2,6,5] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 3
[4,3,1,5,2,+] => [1,2,6,4,3,5] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,1,6,2,5] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 3
[4,3,1,6,+,2] => [1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,2,1,+,+] => [2,1,5,6,4,3] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,2,1,-,+] => [2,1,6,4,3,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,2,1,+,-] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[4,3,2,1,6,5] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[4,3,2,5,1,+] => [2,1,6,4,3,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,2,6,1,5] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[4,3,2,6,+,1] => [2,5,1,4,3,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[4,3,5,1,2,+] => [1,2,6,4,3,5] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,5,2,1,+] => [2,1,6,4,3,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,6,1,2,5] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 3
[4,3,6,1,+,2] => [1,5,2,4,3,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,3,6,2,1,5] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[4,3,6,2,+,1] => [2,5,1,4,3,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[4,5,-,1,2,+] => [1,2,6,4,5,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,5,+,2,1,+] => [3,2,1,6,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 3
[4,5,-,2,1,+] => [2,1,6,4,5,3] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,5,+,2,1,-] => [3,2,1,4,5,6] => ([(3,4),(3,5),(4,5)],6) => 3
[4,5,+,2,6,1] => [3,2,1,4,5,6] => ([(3,4),(3,5),(4,5)],6) => 3
[4,5,+,6,2,1] => [3,2,1,4,5,6] => ([(3,4),(3,5),(4,5)],6) => 3
[4,5,6,3,2,1] => [3,2,1,4,5,6] => ([(3,4),(3,5),(4,5)],6) => 3
[4,6,-,1,2,5] => [1,2,5,4,6,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,6,-,1,+,2] => [1,5,2,4,6,3] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => 3
[4,6,+,2,1,5] => [3,2,1,5,4,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[4,6,-,2,1,5] => [2,1,5,4,6,3] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,6,+,2,+,1] => [3,2,5,1,4,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[4,6,-,2,+,1] => [2,5,1,4,6,3] => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,6,+,2,-,1] => [3,2,1,4,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[4,6,+,5,2,1] => [3,2,1,4,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[4,6,5,3,2,1] => [3,2,1,4,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[5,1,2,-,3,+] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 3
[5,1,-,2,4,+] => [1,2,4,6,5,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,1,-,+,2,+] => [1,4,2,6,5,3] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[5,1,+,-,2,+] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[5,1,-,-,2,+] => [1,2,6,5,3,4] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,1,4,2,3,+] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 3
[5,1,4,3,2,+] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[5,1,6,+,3,2] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6) => 3
[5,-,1,3,4,+] => [1,3,4,6,5,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,-,1,+,3,+] => [1,4,3,6,5,2] => ([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => 3
[5,+,1,-,3,+] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[5,-,1,-,3,+] => [1,3,6,5,2,4] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 3
[5,-,1,+,3,-] => [1,4,3,5,2,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,-,1,+,6,3] => [1,4,3,5,2,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,-,1,6,4,3] => [1,4,3,5,2,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,-,+,1,4,+] => [3,1,4,6,5,2] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => 3
[5,+,-,1,4,+] => [2,1,4,6,5,3] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,-,-,1,4,+] => [1,4,6,5,2,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => 3
[5,-,-,1,4,-] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[5,-,-,1,6,4] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[5,-,+,+,1,+] => [3,4,1,6,5,2] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6) => 3
[5,+,-,+,1,+] => [2,4,1,6,5,3] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => 3
[5,+,+,-,1,+] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 3
[5,-,-,+,1,+] => [4,1,6,5,2,3] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 3
[5,-,+,-,1,+] => [3,1,6,5,2,4] => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => 3
[5,-,+,+,1,-] => [3,4,1,5,2,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[5,+,-,-,1,+] => [2,1,6,5,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,-,-,-,1,+] => [1,6,5,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,-,-,+,1,-] => [4,1,5,2,3,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[5,-,+,+,6,1] => [3,4,1,5,2,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[5,-,-,+,6,1] => [4,1,5,2,3,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[5,-,-,6,1,4] => [1,4,5,2,3,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[5,-,+,6,4,1] => [3,4,1,5,2,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[5,-,-,6,4,1] => [4,1,5,2,3,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[5,+,4,1,3,+] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[5,-,4,1,3,+] => [1,3,6,5,2,4] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 3
[5,+,4,3,1,+] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 3
[5,-,4,3,1,+] => [3,1,6,5,2,4] => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => 3
[5,-,6,1,4,3] => [1,4,3,5,2,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,-,6,3,4,1] => [3,4,1,5,2,6] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[5,-,6,+,1,3] => [4,1,3,5,2,6] => ([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => 3
[5,+,6,+,3,1] => [2,4,3,1,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,-,6,+,3,1] => [4,3,1,5,2,6] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 3
[5,3,1,2,4,+] => [1,2,4,6,5,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,1,+,2,+] => [1,4,2,6,5,3] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[5,3,1,-,2,+] => [1,2,6,5,3,4] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,2,1,4,+] => [2,1,4,6,5,3] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,2,+,1,+] => [2,4,1,6,5,3] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => 3
[5,3,2,-,1,+] => [2,1,6,5,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,4,1,2,+] => [1,2,6,5,3,4] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,4,2,1,+] => [2,1,6,5,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,3,6,+,2,1] => [4,2,1,5,3,6] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[5,4,1,2,3,+] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 3
[5,4,1,3,2,+] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[5,4,2,1,3,+] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[5,4,2,3,1,+] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 3
[5,4,+,1,2,+] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 3
[5,4,-,1,2,+] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,-,1,2,-] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 3
[5,4,-,1,6,2] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 3
[5,4,+,2,1,+] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 3
[5,4,-,2,1,+] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,4,+,2,1,-] => [3,2,1,5,4,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[5,4,-,2,1,-] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[5,4,+,2,6,1] => [3,2,1,5,4,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[5,4,-,2,6,1] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[5,4,-,6,1,2] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 3
[5,4,+,6,2,1] => [3,2,1,5,4,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[5,4,-,6,2,1] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[5,4,6,3,2,1] => [3,2,1,5,4,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[5,6,1,+,3,2] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6) => 3
[5,6,2,+,3,1] => [2,4,3,1,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,6,+,2,1,4] => [3,2,1,4,5,6] => ([(3,4),(3,5),(4,5)],6) => 3
[5,6,+,2,4,1] => [3,2,4,1,5,6] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,6,+,+,1,2] => [3,4,1,2,5,6] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[5,6,-,-,1,2] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[5,6,+,+,2,1] => [3,4,2,1,5,6] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,6,-,+,2,1] => [4,2,1,5,6,3] => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[5,6,+,-,2,1] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 3
[5,6,-,-,2,1] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 4
[5,6,4,3,2,1] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 3
[6,1,-,2,+,4] => [1,2,5,4,6,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,1,-,-,2,5] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[6,1,-,+,+,2] => [1,4,5,2,6,3] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[6,1,-,-,+,2] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[6,1,5,-,2,3] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 3
[6,1,5,+,3,2] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[6,1,5,-,3,2] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[6,-,1,3,+,4] => [1,3,5,4,6,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,-,1,+,3,5] => [1,4,3,5,6,2] => ([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,-,1,-,3,5] => [1,3,5,6,2,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[6,-,1,+,+,3] => [1,4,5,3,6,2] => ([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,-,1,-,+,3] => [1,5,3,6,2,4] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => 3
[6,-,1,+,-,3] => [1,4,3,6,2,5] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[6,-,1,5,4,3] => [1,4,3,6,2,5] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[6,-,-,1,4,5] => [1,4,5,6,2,3] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[6,-,+,1,+,4] => [3,1,5,4,6,2] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => 3
[6,+,-,1,+,4] => [2,1,5,4,6,3] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,-,-,1,+,4] => [1,5,4,6,2,3] => ([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => 3
[6,-,-,1,-,4] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[6,-,+,+,1,5] => [3,4,1,5,6,2] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[6,-,-,+,1,5] => [4,1,5,6,2,3] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 4
[6,-,+,-,1,5] => [3,1,5,6,2,4] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => 4
[6,+,-,-,1,5] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 4
[6,-,-,-,1,5] => [1,5,6,2,3,4] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[6,-,+,+,+,1] => [3,4,5,1,6,2] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[6,+,-,+,+,1] => [2,4,5,1,6,3] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 4
[6,-,-,+,+,1] => [4,5,1,6,2,3] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 4
[6,-,+,-,+,1] => [3,5,1,6,2,4] => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => 4
[6,-,+,+,-,1] => [3,4,1,6,2,5] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => 4
[6,+,-,-,+,1] => [2,5,1,6,3,4] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => 4
[6,-,-,-,+,1] => [5,1,6,2,3,4] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 4
[6,-,-,+,-,1] => [4,1,6,2,3,5] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 4
[6,-,-,5,1,4] => [1,4,6,2,3,5] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[6,-,+,5,4,1] => [3,4,1,6,2,5] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => 4
[6,-,-,5,4,1] => [4,1,6,2,3,5] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 4
[6,-,4,1,3,5] => [1,3,5,6,2,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[6,-,4,1,+,3] => [1,5,3,6,2,4] => ([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => 3
[6,-,4,3,1,5] => [3,1,5,6,2,4] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => 4
[6,-,4,3,+,1] => [3,5,1,6,2,4] => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) => 4
[6,-,5,1,4,3] => [1,4,3,6,2,5] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[6,-,5,3,4,1] => [3,4,1,6,2,5] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => 4
[6,-,5,+,1,3] => [4,1,3,6,2,5] => ([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,+,5,-,1,3] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[6,-,5,-,1,3] => [1,3,6,2,5,4] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[6,+,5,+,3,1] => [2,4,3,1,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,-,5,+,3,1] => [4,3,1,6,2,5] => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => 3
[6,+,5,-,3,1] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 3
[6,-,5,-,3,1] => [3,1,6,2,5,4] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => 3
[6,3,1,2,+,4] => [1,2,5,4,6,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,1,-,2,5] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[6,3,1,+,+,2] => [1,4,5,2,6,3] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[6,3,1,-,+,2] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[6,3,2,1,+,4] => [2,1,5,4,6,3] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,2,-,1,5] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 4
[6,3,2,+,+,1] => [2,4,5,1,6,3] => ([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => 4
[6,3,2,-,+,1] => [2,5,1,6,3,4] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => 4
[6,3,4,1,2,5] => [1,2,5,6,3,4] => ([(2,4),(2,5),(3,4),(3,5)],6) => 4
[6,3,4,1,+,2] => [1,5,2,6,3,4] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 4
[6,3,4,2,1,5] => [2,1,5,6,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 4
[6,3,4,2,+,1] => [2,5,1,6,3,4] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => 4
[6,3,5,-,1,2] => [1,2,6,3,5,4] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,5,+,2,1] => [4,2,1,6,3,5] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => 3
[6,3,5,-,2,1] => [2,1,6,3,5,4] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,-,1,2,5] => [1,2,5,6,4,3] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,-,1,+,2] => [1,5,2,6,4,3] => ([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 3
[6,4,-,1,-,2] => [1,2,6,4,3,5] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,+,2,1,5] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 3
[6,4,-,2,1,5] => [2,1,5,6,4,3] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,+,2,+,1] => [3,2,5,1,6,4] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => 3
[6,4,-,2,+,1] => [2,5,1,6,4,3] => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => 3
[6,4,+,2,-,1] => [3,2,1,6,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 3
[6,4,-,2,-,1] => [2,1,6,4,3,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,-,5,1,2] => [1,2,6,4,3,5] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,+,5,2,1] => [3,2,1,6,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 3
[6,4,-,5,2,1] => [2,1,6,4,3,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,4,5,3,2,1] => [3,2,1,6,4,5] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 3
[6,5,1,-,2,3] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 3
[6,5,1,+,3,2] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[6,5,1,-,3,2] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[6,5,2,-,1,3] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[6,5,2,+,3,1] => [2,4,3,1,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,2,-,3,1] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 3
[6,5,-,1,2,4] => [1,2,4,6,5,3] => ([(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,-,1,4,2] => [1,4,2,6,5,3] => ([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[6,5,+,2,1,4] => [3,2,1,4,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[6,5,-,2,1,4] => [2,1,4,6,5,3] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,+,2,4,1] => [3,2,4,1,6,5] => ([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,-,2,4,1] => [2,4,1,6,5,3] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => 3
[6,5,+,+,1,2] => [3,4,1,2,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => 4
[6,5,-,+,1,2] => [4,1,2,6,5,3] => ([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 3
[6,5,+,-,1,2] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 3
[6,5,-,-,1,2] => [1,2,6,5,3,4] => ([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,+,+,2,1] => [3,4,2,1,6,5] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,-,+,2,1] => [4,2,1,6,5,3] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6) => 3
[6,5,+,-,2,1] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 3
[6,5,-,-,2,1] => [2,1,6,5,3,4] => ([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,4,1,2,3] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 3
[6,5,4,1,3,2] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[6,5,4,2,1,3] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 3
[6,5,4,2,3,1] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 3
[6,5,4,3,1,2] => [3,1,2,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 3
[6,5,4,3,2,1] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 3
search for individual values
searching the database for the individual values of this statistic
Description
The girth of a graph, which is not a tree.
This is the length of the shortest cycle in the graph.
Map
lower permutation
Description
The lower bound in the Grassmann interval corresponding to the decorated permutation.
Let $I$ be the anti-exceedance set of a decorated permutation $w$. Let $v$ be the $k$-Grassmannian permutation determined by $v[k] = w^{-1}(I)$ and let $u$ be the permutation satisfying $u = wv$. Then $[u, v]$ is the Grassmann interval corresponding to $w$.
This map returns $u$.
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.