Identifier
Values
[1] => [1] => [1] => ([],1) => 1
[1,2] => [1,2] => [1,2] => ([],2) => 1
[2,1] => [1,2] => [1,2] => ([],2) => 1
[1,2,3] => [1,2,3] => [1,2,3] => ([],3) => 1
[1,3,2] => [1,2,3] => [1,2,3] => ([],3) => 1
[2,1,3] => [1,2,3] => [1,2,3] => ([],3) => 1
[2,3,1] => [1,2,3] => [1,2,3] => ([],3) => 1
[3,1,2] => [1,3,2] => [3,1,2] => ([(0,2),(1,2)],3) => 2
[3,2,1] => [1,3,2] => [3,1,2] => ([(0,2),(1,2)],3) => 2
[1,2,3,4] => [1,2,3,4] => [1,2,3,4] => ([],4) => 1
[1,2,4,3] => [1,2,3,4] => [1,2,3,4] => ([],4) => 1
[1,3,2,4] => [1,2,3,4] => [1,2,3,4] => ([],4) => 1
[1,3,4,2] => [1,2,3,4] => [1,2,3,4] => ([],4) => 1
[1,4,2,3] => [1,2,4,3] => [4,1,2,3] => ([(0,3),(1,3),(2,3)],4) => 2
[1,4,3,2] => [1,2,4,3] => [4,1,2,3] => ([(0,3),(1,3),(2,3)],4) => 2
[2,1,3,4] => [1,2,3,4] => [1,2,3,4] => ([],4) => 1
[2,1,4,3] => [1,2,3,4] => [1,2,3,4] => ([],4) => 1
[2,3,1,4] => [1,2,3,4] => [1,2,3,4] => ([],4) => 1
[2,3,4,1] => [1,2,3,4] => [1,2,3,4] => ([],4) => 1
[2,4,1,3] => [1,2,4,3] => [4,1,2,3] => ([(0,3),(1,3),(2,3)],4) => 2
[2,4,3,1] => [1,2,4,3] => [4,1,2,3] => ([(0,3),(1,3),(2,3)],4) => 2
[3,1,2,4] => [1,3,2,4] => [3,1,2,4] => ([(1,3),(2,3)],4) => 2
[3,1,4,2] => [1,3,4,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[3,2,1,4] => [1,3,2,4] => [3,1,2,4] => ([(1,3),(2,3)],4) => 2
[3,2,4,1] => [1,3,4,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[3,4,1,2] => [1,3,2,4] => [3,1,2,4] => ([(1,3),(2,3)],4) => 2
[3,4,2,1] => [1,3,2,4] => [3,1,2,4] => ([(1,3),(2,3)],4) => 2
[4,1,3,2] => [1,4,2,3] => [1,4,2,3] => ([(1,3),(2,3)],4) => 2
[4,2,3,1] => [1,4,2,3] => [1,4,2,3] => ([(1,3),(2,3)],4) => 2
[4,3,1,2] => [1,4,2,3] => [1,4,2,3] => ([(1,3),(2,3)],4) => 2
[4,3,2,1] => [1,4,2,3] => [1,4,2,3] => ([(1,3),(2,3)],4) => 2
[1,2,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5) => 1
[1,2,3,5,4] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5) => 1
[1,2,4,3,5] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5) => 1
[1,2,4,5,3] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5) => 1
[1,2,5,3,4] => [1,2,3,5,4] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,2,5,4,3] => [1,2,3,5,4] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,3,2,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5) => 1
[1,3,2,5,4] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5) => 1
[1,3,4,2,5] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5) => 1
[1,3,4,5,2] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5) => 1
[1,3,5,2,4] => [1,2,3,5,4] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,3,5,4,2] => [1,2,3,5,4] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,4,2,3,5] => [1,2,4,3,5] => [4,1,2,3,5] => ([(1,4),(2,4),(3,4)],5) => 2
[1,4,2,5,3] => [1,2,4,5,3] => [4,1,2,5,3] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[1,4,3,2,5] => [1,2,4,3,5] => [4,1,2,3,5] => ([(1,4),(2,4),(3,4)],5) => 2
[1,4,3,5,2] => [1,2,4,5,3] => [4,1,2,5,3] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[1,4,5,2,3] => [1,2,4,3,5] => [4,1,2,3,5] => ([(1,4),(2,4),(3,4)],5) => 2
[1,4,5,3,2] => [1,2,4,3,5] => [4,1,2,3,5] => ([(1,4),(2,4),(3,4)],5) => 2
[1,5,2,4,3] => [1,2,5,3,4] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 2
[1,5,3,4,2] => [1,2,5,3,4] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 2
[1,5,4,2,3] => [1,2,5,3,4] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 2
[1,5,4,3,2] => [1,2,5,3,4] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 2
[2,1,3,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5) => 1
[2,1,3,5,4] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5) => 1
[2,1,4,3,5] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5) => 1
[2,1,4,5,3] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5) => 1
[2,1,5,3,4] => [1,2,3,5,4] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[2,1,5,4,3] => [1,2,3,5,4] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[2,3,1,4,5] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5) => 1
[2,3,1,5,4] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5) => 1
[2,3,4,1,5] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5) => 1
[2,3,4,5,1] => [1,2,3,4,5] => [1,2,3,4,5] => ([],5) => 1
[2,3,5,1,4] => [1,2,3,5,4] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[2,3,5,4,1] => [1,2,3,5,4] => [5,1,2,3,4] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[2,4,1,3,5] => [1,2,4,3,5] => [4,1,2,3,5] => ([(1,4),(2,4),(3,4)],5) => 2
[2,4,1,5,3] => [1,2,4,5,3] => [4,1,2,5,3] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[2,4,3,1,5] => [1,2,4,3,5] => [4,1,2,3,5] => ([(1,4),(2,4),(3,4)],5) => 2
[2,4,3,5,1] => [1,2,4,5,3] => [4,1,2,5,3] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[2,4,5,1,3] => [1,2,4,3,5] => [4,1,2,3,5] => ([(1,4),(2,4),(3,4)],5) => 2
[2,4,5,3,1] => [1,2,4,3,5] => [4,1,2,3,5] => ([(1,4),(2,4),(3,4)],5) => 2
[2,5,1,4,3] => [1,2,5,3,4] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 2
[2,5,3,4,1] => [1,2,5,3,4] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 2
[2,5,4,1,3] => [1,2,5,3,4] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 2
[2,5,4,3,1] => [1,2,5,3,4] => [1,5,2,3,4] => ([(1,4),(2,4),(3,4)],5) => 2
[3,1,2,4,5] => [1,3,2,4,5] => [3,1,2,4,5] => ([(2,4),(3,4)],5) => 2
[3,1,2,5,4] => [1,3,2,4,5] => [3,1,2,4,5] => ([(2,4),(3,4)],5) => 2
[3,1,4,2,5] => [1,3,4,2,5] => [3,1,4,2,5] => ([(1,4),(2,3),(3,4)],5) => 2
[3,1,4,5,2] => [1,3,4,5,2] => [3,1,4,5,2] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[3,1,5,4,2] => [1,3,5,2,4] => [3,1,2,5,4] => ([(0,1),(2,4),(3,4)],5) => 2
[3,2,1,4,5] => [1,3,2,4,5] => [3,1,2,4,5] => ([(2,4),(3,4)],5) => 2
[3,2,1,5,4] => [1,3,2,4,5] => [3,1,2,4,5] => ([(2,4),(3,4)],5) => 2
[3,2,4,1,5] => [1,3,4,2,5] => [3,1,4,2,5] => ([(1,4),(2,3),(3,4)],5) => 2
[3,2,4,5,1] => [1,3,4,5,2] => [3,1,4,5,2] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2
[3,2,5,4,1] => [1,3,5,2,4] => [3,1,2,5,4] => ([(0,1),(2,4),(3,4)],5) => 2
[3,4,1,2,5] => [1,3,2,4,5] => [3,1,2,4,5] => ([(2,4),(3,4)],5) => 2
[3,4,1,5,2] => [1,3,2,4,5] => [3,1,2,4,5] => ([(2,4),(3,4)],5) => 2
[3,4,2,1,5] => [1,3,2,4,5] => [3,1,2,4,5] => ([(2,4),(3,4)],5) => 2
[3,4,2,5,1] => [1,3,2,4,5] => [3,1,2,4,5] => ([(2,4),(3,4)],5) => 2
[3,4,5,1,2] => [1,3,5,2,4] => [3,1,2,5,4] => ([(0,1),(2,4),(3,4)],5) => 2
[3,4,5,2,1] => [1,3,5,2,4] => [3,1,2,5,4] => ([(0,1),(2,4),(3,4)],5) => 2
[3,5,4,1,2] => [1,3,4,2,5] => [3,1,4,2,5] => ([(1,4),(2,3),(3,4)],5) => 2
[3,5,4,2,1] => [1,3,4,2,5] => [3,1,4,2,5] => ([(1,4),(2,3),(3,4)],5) => 2
[4,1,3,2,5] => [1,4,2,3,5] => [1,4,2,3,5] => ([(2,4),(3,4)],5) => 2
[4,1,3,5,2] => [1,4,5,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[4,1,5,2,3] => [1,4,2,3,5] => [1,4,2,3,5] => ([(2,4),(3,4)],5) => 2
[4,2,3,1,5] => [1,4,2,3,5] => [1,4,2,3,5] => ([(2,4),(3,4)],5) => 2
[4,2,3,5,1] => [1,4,5,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[4,2,5,1,3] => [1,4,2,3,5] => [1,4,2,3,5] => ([(2,4),(3,4)],5) => 2
[4,3,1,2,5] => [1,4,2,3,5] => [1,4,2,3,5] => ([(2,4),(3,4)],5) => 2
[4,3,1,5,2] => [1,4,5,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
>>> Load all 721 entries. <<<
[4,3,2,1,5] => [1,4,2,3,5] => [1,4,2,3,5] => ([(2,4),(3,4)],5) => 2
[4,3,2,5,1] => [1,4,5,2,3] => [1,4,2,5,3] => ([(1,4),(2,3),(3,4)],5) => 2
[4,3,5,1,2] => [1,4,2,3,5] => [1,4,2,3,5] => ([(2,4),(3,4)],5) => 2
[4,3,5,2,1] => [1,4,2,3,5] => [1,4,2,3,5] => ([(2,4),(3,4)],5) => 2
[5,1,3,4,2] => [1,5,2,3,4] => [1,2,5,3,4] => ([(2,4),(3,4)],5) => 2
[5,1,4,3,2] => [1,5,2,3,4] => [1,2,5,3,4] => ([(2,4),(3,4)],5) => 2
[5,2,3,4,1] => [1,5,2,3,4] => [1,2,5,3,4] => ([(2,4),(3,4)],5) => 2
[5,2,4,3,1] => [1,5,2,3,4] => [1,2,5,3,4] => ([(2,4),(3,4)],5) => 2
[5,3,1,4,2] => [1,5,2,3,4] => [1,2,5,3,4] => ([(2,4),(3,4)],5) => 2
[5,3,2,4,1] => [1,5,2,3,4] => [1,2,5,3,4] => ([(2,4),(3,4)],5) => 2
[5,3,4,1,2] => [1,5,2,3,4] => [1,2,5,3,4] => ([(2,4),(3,4)],5) => 2
[5,3,4,2,1] => [1,5,2,3,4] => [1,2,5,3,4] => ([(2,4),(3,4)],5) => 2
[1,2,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[1,2,3,4,6,5] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[1,2,3,5,4,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[1,2,3,5,6,4] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[1,2,3,6,4,5] => [1,2,3,4,6,5] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,2,3,6,5,4] => [1,2,3,4,6,5] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,2,4,3,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[1,2,4,3,6,5] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[1,2,4,5,3,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[1,2,4,5,6,3] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[1,2,4,6,3,5] => [1,2,3,4,6,5] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,2,4,6,5,3] => [1,2,3,4,6,5] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,2,5,3,4,6] => [1,2,3,5,4,6] => [5,1,2,3,4,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,2,5,3,6,4] => [1,2,3,5,6,4] => [5,1,2,3,6,4] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 2
[1,2,5,4,3,6] => [1,2,3,5,4,6] => [5,1,2,3,4,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,2,5,4,6,3] => [1,2,3,5,6,4] => [5,1,2,3,6,4] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 2
[1,2,5,6,3,4] => [1,2,3,5,4,6] => [5,1,2,3,4,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,2,5,6,4,3] => [1,2,3,5,4,6] => [5,1,2,3,4,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,2,6,3,5,4] => [1,2,3,6,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,2,6,4,5,3] => [1,2,3,6,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,2,6,5,3,4] => [1,2,3,6,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,2,6,5,4,3] => [1,2,3,6,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,3,2,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[1,3,2,4,6,5] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[1,3,2,5,4,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[1,3,2,5,6,4] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[1,3,2,6,4,5] => [1,2,3,4,6,5] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,3,2,6,5,4] => [1,2,3,4,6,5] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,3,4,2,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[1,3,4,2,6,5] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[1,3,4,5,2,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[1,3,4,5,6,2] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[1,3,4,6,2,5] => [1,2,3,4,6,5] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,3,4,6,5,2] => [1,2,3,4,6,5] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,3,5,2,4,6] => [1,2,3,5,4,6] => [5,1,2,3,4,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,3,5,2,6,4] => [1,2,3,5,6,4] => [5,1,2,3,6,4] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 2
[1,3,5,4,2,6] => [1,2,3,5,4,6] => [5,1,2,3,4,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,3,5,4,6,2] => [1,2,3,5,6,4] => [5,1,2,3,6,4] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 2
[1,3,5,6,2,4] => [1,2,3,5,4,6] => [5,1,2,3,4,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,3,5,6,4,2] => [1,2,3,5,4,6] => [5,1,2,3,4,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,3,6,2,5,4] => [1,2,3,6,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,3,6,4,5,2] => [1,2,3,6,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,3,6,5,2,4] => [1,2,3,6,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,3,6,5,4,2] => [1,2,3,6,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,4,2,3,5,6] => [1,2,4,3,5,6] => [4,1,2,3,5,6] => ([(2,5),(3,5),(4,5)],6) => 2
[1,4,2,3,6,5] => [1,2,4,3,5,6] => [4,1,2,3,5,6] => ([(2,5),(3,5),(4,5)],6) => 2
[1,4,2,5,3,6] => [1,2,4,5,3,6] => [4,1,2,5,3,6] => ([(1,5),(2,5),(3,4),(4,5)],6) => 2
[1,4,2,5,6,3] => [1,2,4,5,6,3] => [4,1,2,5,6,3] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[1,4,2,6,5,3] => [1,2,4,6,3,5] => [4,1,2,3,6,5] => ([(0,1),(2,5),(3,5),(4,5)],6) => 2
[1,4,3,2,5,6] => [1,2,4,3,5,6] => [4,1,2,3,5,6] => ([(2,5),(3,5),(4,5)],6) => 2
[1,4,3,2,6,5] => [1,2,4,3,5,6] => [4,1,2,3,5,6] => ([(2,5),(3,5),(4,5)],6) => 2
[1,4,3,5,2,6] => [1,2,4,5,3,6] => [4,1,2,5,3,6] => ([(1,5),(2,5),(3,4),(4,5)],6) => 2
[1,4,3,5,6,2] => [1,2,4,5,6,3] => [4,1,2,5,6,3] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[1,4,3,6,5,2] => [1,2,4,6,3,5] => [4,1,2,3,6,5] => ([(0,1),(2,5),(3,5),(4,5)],6) => 2
[1,4,5,2,3,6] => [1,2,4,3,5,6] => [4,1,2,3,5,6] => ([(2,5),(3,5),(4,5)],6) => 2
[1,4,5,2,6,3] => [1,2,4,3,5,6] => [4,1,2,3,5,6] => ([(2,5),(3,5),(4,5)],6) => 2
[1,4,5,3,2,6] => [1,2,4,3,5,6] => [4,1,2,3,5,6] => ([(2,5),(3,5),(4,5)],6) => 2
[1,4,5,3,6,2] => [1,2,4,3,5,6] => [4,1,2,3,5,6] => ([(2,5),(3,5),(4,5)],6) => 2
[1,4,5,6,2,3] => [1,2,4,6,3,5] => [4,1,2,3,6,5] => ([(0,1),(2,5),(3,5),(4,5)],6) => 2
[1,4,5,6,3,2] => [1,2,4,6,3,5] => [4,1,2,3,6,5] => ([(0,1),(2,5),(3,5),(4,5)],6) => 2
[1,4,6,5,2,3] => [1,2,4,5,3,6] => [4,1,2,5,3,6] => ([(1,5),(2,5),(3,4),(4,5)],6) => 2
[1,4,6,5,3,2] => [1,2,4,5,3,6] => [4,1,2,5,3,6] => ([(1,5),(2,5),(3,4),(4,5)],6) => 2
[1,5,2,4,3,6] => [1,2,5,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => 2
[1,5,2,4,6,3] => [1,2,5,6,3,4] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => 2
[1,5,2,6,3,4] => [1,2,5,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => 2
[1,5,3,4,2,6] => [1,2,5,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => 2
[1,5,3,4,6,2] => [1,2,5,6,3,4] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => 2
[1,5,3,6,2,4] => [1,2,5,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => 2
[1,5,4,2,3,6] => [1,2,5,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => 2
[1,5,4,2,6,3] => [1,2,5,6,3,4] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => 2
[1,5,4,3,2,6] => [1,2,5,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => 2
[1,5,4,3,6,2] => [1,2,5,6,3,4] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => 2
[1,5,4,6,2,3] => [1,2,5,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => 2
[1,5,4,6,3,2] => [1,2,5,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => 2
[1,6,2,4,5,3] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => 2
[1,6,2,5,4,3] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => 2
[1,6,3,4,5,2] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => 2
[1,6,3,5,4,2] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => 2
[1,6,4,2,5,3] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => 2
[1,6,4,3,5,2] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => 2
[1,6,4,5,2,3] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => 2
[1,6,4,5,3,2] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => 2
[2,1,3,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[2,1,3,4,6,5] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[2,1,3,5,4,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[2,1,3,5,6,4] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[2,1,3,6,4,5] => [1,2,3,4,6,5] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,1,3,6,5,4] => [1,2,3,4,6,5] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,1,4,3,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[2,1,4,3,6,5] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[2,1,4,5,3,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[2,1,4,5,6,3] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[2,1,4,6,3,5] => [1,2,3,4,6,5] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,1,4,6,5,3] => [1,2,3,4,6,5] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,1,5,3,4,6] => [1,2,3,5,4,6] => [5,1,2,3,4,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,1,5,3,6,4] => [1,2,3,5,6,4] => [5,1,2,3,6,4] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 2
[2,1,5,4,3,6] => [1,2,3,5,4,6] => [5,1,2,3,4,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,1,5,4,6,3] => [1,2,3,5,6,4] => [5,1,2,3,6,4] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 2
[2,1,5,6,3,4] => [1,2,3,5,4,6] => [5,1,2,3,4,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,1,5,6,4,3] => [1,2,3,5,4,6] => [5,1,2,3,4,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,1,6,3,5,4] => [1,2,3,6,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,1,6,4,5,3] => [1,2,3,6,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,1,6,5,3,4] => [1,2,3,6,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,1,6,5,4,3] => [1,2,3,6,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,3,1,4,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[2,3,1,4,6,5] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[2,3,1,5,4,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[2,3,1,5,6,4] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[2,3,1,6,4,5] => [1,2,3,4,6,5] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,3,1,6,5,4] => [1,2,3,4,6,5] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,3,4,1,5,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[2,3,4,1,6,5] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[2,3,4,5,1,6] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[2,3,4,5,6,1] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([],6) => 1
[2,3,4,6,1,5] => [1,2,3,4,6,5] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,3,4,6,5,1] => [1,2,3,4,6,5] => [6,1,2,3,4,5] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,3,5,1,4,6] => [1,2,3,5,4,6] => [5,1,2,3,4,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,3,5,1,6,4] => [1,2,3,5,6,4] => [5,1,2,3,6,4] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 2
[2,3,5,4,1,6] => [1,2,3,5,4,6] => [5,1,2,3,4,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,3,5,4,6,1] => [1,2,3,5,6,4] => [5,1,2,3,6,4] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 2
[2,3,5,6,1,4] => [1,2,3,5,4,6] => [5,1,2,3,4,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,3,5,6,4,1] => [1,2,3,5,4,6] => [5,1,2,3,4,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,3,6,1,5,4] => [1,2,3,6,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,3,6,4,5,1] => [1,2,3,6,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,3,6,5,1,4] => [1,2,3,6,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,3,6,5,4,1] => [1,2,3,6,4,5] => [1,6,2,3,4,5] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,4,1,3,5,6] => [1,2,4,3,5,6] => [4,1,2,3,5,6] => ([(2,5),(3,5),(4,5)],6) => 2
[2,4,1,3,6,5] => [1,2,4,3,5,6] => [4,1,2,3,5,6] => ([(2,5),(3,5),(4,5)],6) => 2
[2,4,1,5,3,6] => [1,2,4,5,3,6] => [4,1,2,5,3,6] => ([(1,5),(2,5),(3,4),(4,5)],6) => 2
[2,4,1,5,6,3] => [1,2,4,5,6,3] => [4,1,2,5,6,3] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[2,4,1,6,5,3] => [1,2,4,6,3,5] => [4,1,2,3,6,5] => ([(0,1),(2,5),(3,5),(4,5)],6) => 2
[2,4,3,1,5,6] => [1,2,4,3,5,6] => [4,1,2,3,5,6] => ([(2,5),(3,5),(4,5)],6) => 2
[2,4,3,1,6,5] => [1,2,4,3,5,6] => [4,1,2,3,5,6] => ([(2,5),(3,5),(4,5)],6) => 2
[2,4,3,5,1,6] => [1,2,4,5,3,6] => [4,1,2,5,3,6] => ([(1,5),(2,5),(3,4),(4,5)],6) => 2
[2,4,3,5,6,1] => [1,2,4,5,6,3] => [4,1,2,5,6,3] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2
[2,4,3,6,5,1] => [1,2,4,6,3,5] => [4,1,2,3,6,5] => ([(0,1),(2,5),(3,5),(4,5)],6) => 2
[2,4,5,1,3,6] => [1,2,4,3,5,6] => [4,1,2,3,5,6] => ([(2,5),(3,5),(4,5)],6) => 2
[2,4,5,1,6,3] => [1,2,4,3,5,6] => [4,1,2,3,5,6] => ([(2,5),(3,5),(4,5)],6) => 2
[2,4,5,3,1,6] => [1,2,4,3,5,6] => [4,1,2,3,5,6] => ([(2,5),(3,5),(4,5)],6) => 2
[2,4,5,3,6,1] => [1,2,4,3,5,6] => [4,1,2,3,5,6] => ([(2,5),(3,5),(4,5)],6) => 2
[2,4,5,6,1,3] => [1,2,4,6,3,5] => [4,1,2,3,6,5] => ([(0,1),(2,5),(3,5),(4,5)],6) => 2
[2,4,5,6,3,1] => [1,2,4,6,3,5] => [4,1,2,3,6,5] => ([(0,1),(2,5),(3,5),(4,5)],6) => 2
[2,4,6,5,1,3] => [1,2,4,5,3,6] => [4,1,2,5,3,6] => ([(1,5),(2,5),(3,4),(4,5)],6) => 2
[2,4,6,5,3,1] => [1,2,4,5,3,6] => [4,1,2,5,3,6] => ([(1,5),(2,5),(3,4),(4,5)],6) => 2
[2,5,1,4,3,6] => [1,2,5,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => 2
[2,5,1,4,6,3] => [1,2,5,6,3,4] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => 2
[2,5,1,6,3,4] => [1,2,5,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => 2
[2,5,3,4,1,6] => [1,2,5,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => 2
[2,5,3,4,6,1] => [1,2,5,6,3,4] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => 2
[2,5,3,6,1,4] => [1,2,5,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => 2
[2,5,4,1,3,6] => [1,2,5,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => 2
[2,5,4,1,6,3] => [1,2,5,6,3,4] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => 2
[2,5,4,3,1,6] => [1,2,5,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => 2
[2,5,4,3,6,1] => [1,2,5,6,3,4] => [1,5,2,3,6,4] => ([(1,5),(2,5),(3,4),(4,5)],6) => 2
[2,5,4,6,1,3] => [1,2,5,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => 2
[2,5,4,6,3,1] => [1,2,5,3,4,6] => [1,5,2,3,4,6] => ([(2,5),(3,5),(4,5)],6) => 2
[2,6,1,4,5,3] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => 2
[2,6,1,5,4,3] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => 2
[2,6,3,4,5,1] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => 2
[2,6,3,5,4,1] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => 2
[2,6,4,1,5,3] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => 2
[2,6,4,3,5,1] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => 2
[2,6,4,5,1,3] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => 2
[2,6,4,5,3,1] => [1,2,6,3,4,5] => [1,2,6,3,4,5] => ([(2,5),(3,5),(4,5)],6) => 2
[3,1,2,4,5,6] => [1,3,2,4,5,6] => [3,1,2,4,5,6] => ([(3,5),(4,5)],6) => 2
[3,1,2,4,6,5] => [1,3,2,4,5,6] => [3,1,2,4,5,6] => ([(3,5),(4,5)],6) => 2
[3,1,2,5,4,6] => [1,3,2,4,5,6] => [3,1,2,4,5,6] => ([(3,5),(4,5)],6) => 2
[3,1,2,5,6,4] => [1,3,2,4,5,6] => [3,1,2,4,5,6] => ([(3,5),(4,5)],6) => 2
[3,1,4,2,5,6] => [1,3,4,2,5,6] => [3,1,4,2,5,6] => ([(2,5),(3,4),(4,5)],6) => 2
[3,1,4,2,6,5] => [1,3,4,2,5,6] => [3,1,4,2,5,6] => ([(2,5),(3,4),(4,5)],6) => 2
[3,1,4,5,2,6] => [1,3,4,5,2,6] => [3,1,4,5,2,6] => ([(1,5),(2,5),(3,4),(4,5)],6) => 2
[3,1,4,5,6,2] => [1,3,4,5,6,2] => [3,1,4,5,6,2] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 2
[3,1,4,6,5,2] => [1,3,4,6,2,5] => [3,1,4,2,6,5] => ([(0,1),(2,5),(3,4),(4,5)],6) => 2
[3,1,5,4,2,6] => [1,3,5,2,4,6] => [3,1,2,5,4,6] => ([(1,2),(3,5),(4,5)],6) => 2
[3,1,5,4,6,2] => [1,3,5,6,2,4] => [3,1,2,5,6,4] => ([(0,5),(1,5),(2,4),(3,4)],6) => 2
[3,1,5,6,2,4] => [1,3,5,2,4,6] => [3,1,2,5,4,6] => ([(1,2),(3,5),(4,5)],6) => 2
[3,1,6,4,5,2] => [1,3,6,2,4,5] => [3,1,2,4,6,5] => ([(1,2),(3,5),(4,5)],6) => 2
[3,1,6,5,4,2] => [1,3,6,2,4,5] => [3,1,2,4,6,5] => ([(1,2),(3,5),(4,5)],6) => 2
[3,2,1,4,5,6] => [1,3,2,4,5,6] => [3,1,2,4,5,6] => ([(3,5),(4,5)],6) => 2
[3,2,1,4,6,5] => [1,3,2,4,5,6] => [3,1,2,4,5,6] => ([(3,5),(4,5)],6) => 2
[3,2,1,5,4,6] => [1,3,2,4,5,6] => [3,1,2,4,5,6] => ([(3,5),(4,5)],6) => 2
[3,2,1,5,6,4] => [1,3,2,4,5,6] => [3,1,2,4,5,6] => ([(3,5),(4,5)],6) => 2
[3,2,4,1,5,6] => [1,3,4,2,5,6] => [3,1,4,2,5,6] => ([(2,5),(3,4),(4,5)],6) => 2
[3,2,4,1,6,5] => [1,3,4,2,5,6] => [3,1,4,2,5,6] => ([(2,5),(3,4),(4,5)],6) => 2
[3,2,4,5,1,6] => [1,3,4,5,2,6] => [3,1,4,5,2,6] => ([(1,5),(2,5),(3,4),(4,5)],6) => 2
[3,2,4,5,6,1] => [1,3,4,5,6,2] => [3,1,4,5,6,2] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 2
[3,2,4,6,5,1] => [1,3,4,6,2,5] => [3,1,4,2,6,5] => ([(0,1),(2,5),(3,4),(4,5)],6) => 2
[3,2,5,4,1,6] => [1,3,5,2,4,6] => [3,1,2,5,4,6] => ([(1,2),(3,5),(4,5)],6) => 2
[3,2,5,4,6,1] => [1,3,5,6,2,4] => [3,1,2,5,6,4] => ([(0,5),(1,5),(2,4),(3,4)],6) => 2
[3,2,5,6,1,4] => [1,3,5,2,4,6] => [3,1,2,5,4,6] => ([(1,2),(3,5),(4,5)],6) => 2
[3,2,6,4,5,1] => [1,3,6,2,4,5] => [3,1,2,4,6,5] => ([(1,2),(3,5),(4,5)],6) => 2
[3,2,6,5,4,1] => [1,3,6,2,4,5] => [3,1,2,4,6,5] => ([(1,2),(3,5),(4,5)],6) => 2
[3,4,1,2,5,6] => [1,3,2,4,5,6] => [3,1,2,4,5,6] => ([(3,5),(4,5)],6) => 2
[3,4,1,2,6,5] => [1,3,2,4,5,6] => [3,1,2,4,5,6] => ([(3,5),(4,5)],6) => 2
[3,4,1,5,2,6] => [1,3,2,4,5,6] => [3,1,2,4,5,6] => ([(3,5),(4,5)],6) => 2
[3,4,1,5,6,2] => [1,3,2,4,5,6] => [3,1,2,4,5,6] => ([(3,5),(4,5)],6) => 2
[3,4,2,1,5,6] => [1,3,2,4,5,6] => [3,1,2,4,5,6] => ([(3,5),(4,5)],6) => 2
[3,4,2,1,6,5] => [1,3,2,4,5,6] => [3,1,2,4,5,6] => ([(3,5),(4,5)],6) => 2
[3,4,2,5,1,6] => [1,3,2,4,5,6] => [3,1,2,4,5,6] => ([(3,5),(4,5)],6) => 2
[3,4,2,5,6,1] => [1,3,2,4,5,6] => [3,1,2,4,5,6] => ([(3,5),(4,5)],6) => 2
[3,4,5,1,2,6] => [1,3,5,2,4,6] => [3,1,2,5,4,6] => ([(1,2),(3,5),(4,5)],6) => 2
[3,4,5,1,6,2] => [1,3,5,6,2,4] => [3,1,2,5,6,4] => ([(0,5),(1,5),(2,4),(3,4)],6) => 2
[3,4,5,2,1,6] => [1,3,5,2,4,6] => [3,1,2,5,4,6] => ([(1,2),(3,5),(4,5)],6) => 2
[3,4,5,2,6,1] => [1,3,5,6,2,4] => [3,1,2,5,6,4] => ([(0,5),(1,5),(2,4),(3,4)],6) => 2
[3,4,5,6,1,2] => [1,3,5,2,4,6] => [3,1,2,5,4,6] => ([(1,2),(3,5),(4,5)],6) => 2
[3,4,5,6,2,1] => [1,3,5,2,4,6] => [3,1,2,5,4,6] => ([(1,2),(3,5),(4,5)],6) => 2
[3,4,6,1,5,2] => [1,3,6,2,4,5] => [3,1,2,4,6,5] => ([(1,2),(3,5),(4,5)],6) => 2
[3,4,6,2,5,1] => [1,3,6,2,4,5] => [3,1,2,4,6,5] => ([(1,2),(3,5),(4,5)],6) => 2
[3,4,6,5,1,2] => [1,3,6,2,4,5] => [3,1,2,4,6,5] => ([(1,2),(3,5),(4,5)],6) => 2
[3,4,6,5,2,1] => [1,3,6,2,4,5] => [3,1,2,4,6,5] => ([(1,2),(3,5),(4,5)],6) => 2
[3,5,4,1,2,6] => [1,3,4,2,5,6] => [3,1,4,2,5,6] => ([(2,5),(3,4),(4,5)],6) => 2
[3,5,4,1,6,2] => [1,3,4,2,5,6] => [3,1,4,2,5,6] => ([(2,5),(3,4),(4,5)],6) => 2
[3,5,4,2,1,6] => [1,3,4,2,5,6] => [3,1,4,2,5,6] => ([(2,5),(3,4),(4,5)],6) => 2
[3,5,4,2,6,1] => [1,3,4,2,5,6] => [3,1,4,2,5,6] => ([(2,5),(3,4),(4,5)],6) => 2
[3,5,4,6,1,2] => [1,3,4,6,2,5] => [3,1,4,2,6,5] => ([(0,1),(2,5),(3,4),(4,5)],6) => 2
[3,5,4,6,2,1] => [1,3,4,6,2,5] => [3,1,4,2,6,5] => ([(0,1),(2,5),(3,4),(4,5)],6) => 2
[3,6,4,5,1,2] => [1,3,4,5,2,6] => [3,1,4,5,2,6] => ([(1,5),(2,5),(3,4),(4,5)],6) => 2
[3,6,4,5,2,1] => [1,3,4,5,2,6] => [3,1,4,5,2,6] => ([(1,5),(2,5),(3,4),(4,5)],6) => 2
[4,1,3,2,5,6] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => 2
[4,1,3,2,6,5] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => 2
[4,1,3,5,2,6] => [1,4,5,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[4,1,3,5,6,2] => [1,4,5,6,2,3] => [1,4,2,5,6,3] => ([(1,5),(2,5),(3,4),(4,5)],6) => 2
[4,1,3,6,5,2] => [1,4,6,2,3,5] => [1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6) => 2
[4,1,5,2,3,6] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => 2
[4,1,5,2,6,3] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => 2
[4,1,5,6,3,2] => [1,4,6,2,3,5] => [1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6) => 2
[4,1,6,5,2,3] => [1,4,5,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[4,2,3,1,5,6] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => 2
[4,2,3,1,6,5] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => 2
[4,2,3,5,1,6] => [1,4,5,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[4,2,3,5,6,1] => [1,4,5,6,2,3] => [1,4,2,5,6,3] => ([(1,5),(2,5),(3,4),(4,5)],6) => 2
[4,2,3,6,5,1] => [1,4,6,2,3,5] => [1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6) => 2
[4,2,5,1,3,6] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => 2
[4,2,5,1,6,3] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => 2
[4,2,5,6,3,1] => [1,4,6,2,3,5] => [1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6) => 2
[4,2,6,5,1,3] => [1,4,5,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[4,3,1,2,5,6] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => 2
[4,3,1,2,6,5] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => 2
[4,3,1,5,2,6] => [1,4,5,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[4,3,1,5,6,2] => [1,4,5,6,2,3] => [1,4,2,5,6,3] => ([(1,5),(2,5),(3,4),(4,5)],6) => 2
[4,3,1,6,5,2] => [1,4,6,2,3,5] => [1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6) => 2
[4,3,2,1,5,6] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => 2
[4,3,2,1,6,5] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => 2
[4,3,2,5,1,6] => [1,4,5,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[4,3,2,5,6,1] => [1,4,5,6,2,3] => [1,4,2,5,6,3] => ([(1,5),(2,5),(3,4),(4,5)],6) => 2
[4,3,2,6,5,1] => [1,4,6,2,3,5] => [1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6) => 2
[4,3,5,1,2,6] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => 2
[4,3,5,1,6,2] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => 2
[4,3,5,2,1,6] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => 2
[4,3,5,2,6,1] => [1,4,2,3,5,6] => [1,4,2,3,5,6] => ([(3,5),(4,5)],6) => 2
[4,3,5,6,1,2] => [1,4,6,2,3,5] => [1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6) => 2
[4,3,5,6,2,1] => [1,4,6,2,3,5] => [1,4,2,3,6,5] => ([(1,2),(3,5),(4,5)],6) => 2
[4,3,6,5,1,2] => [1,4,5,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[4,3,6,5,2,1] => [1,4,5,2,3,6] => [1,4,2,5,3,6] => ([(2,5),(3,4),(4,5)],6) => 2
[5,1,3,4,2,6] => [1,5,2,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => 2
[5,1,3,4,6,2] => [1,5,6,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[5,1,3,6,2,4] => [1,5,2,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => 2
[5,1,4,3,2,6] => [1,5,2,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => 2
[5,1,4,3,6,2] => [1,5,6,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[5,1,4,6,2,3] => [1,5,2,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => 2
[5,2,3,4,1,6] => [1,5,2,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => 2
[5,2,3,4,6,1] => [1,5,6,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[5,2,3,6,1,4] => [1,5,2,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => 2
[5,2,4,3,1,6] => [1,5,2,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => 2
[5,2,4,3,6,1] => [1,5,6,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[5,2,4,6,1,3] => [1,5,2,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => 2
[5,3,1,4,2,6] => [1,5,2,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => 2
[5,3,1,4,6,2] => [1,5,6,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[5,3,1,6,2,4] => [1,5,2,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => 2
[5,3,2,4,1,6] => [1,5,2,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => 2
[5,3,2,4,6,1] => [1,5,6,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[5,3,2,6,1,4] => [1,5,2,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => 2
[5,3,4,1,2,6] => [1,5,2,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => 2
[5,3,4,1,6,2] => [1,5,6,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[5,3,4,2,1,6] => [1,5,2,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => 2
[5,3,4,2,6,1] => [1,5,6,2,3,4] => [1,2,5,3,6,4] => ([(2,5),(3,4),(4,5)],6) => 2
[5,3,4,6,1,2] => [1,5,2,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => 2
[5,3,4,6,2,1] => [1,5,2,3,4,6] => [1,2,5,3,4,6] => ([(3,5),(4,5)],6) => 2
[6,1,2,4,5,3] => [1,6,3,2,4,5] => [3,1,6,2,4,5] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,1,2,5,4,3] => [1,6,3,2,4,5] => [3,1,6,2,4,5] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,1,3,4,5,2] => [1,6,2,3,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => 2
[6,1,3,5,4,2] => [1,6,2,3,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => 2
[6,1,4,3,5,2] => [1,6,2,3,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => 2
[6,1,4,5,3,2] => [1,6,2,3,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => 2
[6,2,1,4,5,3] => [1,6,3,2,4,5] => [3,1,6,2,4,5] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,2,1,5,4,3] => [1,6,3,2,4,5] => [3,1,6,2,4,5] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,2,3,4,5,1] => [1,6,2,3,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => 2
[6,2,3,5,4,1] => [1,6,2,3,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => 2
[6,2,4,3,5,1] => [1,6,2,3,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => 2
[6,2,4,5,3,1] => [1,6,2,3,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => 2
[6,3,1,4,5,2] => [1,6,2,3,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => 2
[6,3,1,5,4,2] => [1,6,2,3,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => 2
[6,3,2,4,5,1] => [1,6,2,3,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => 2
[6,3,2,5,4,1] => [1,6,2,3,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => 2
[6,3,4,1,5,2] => [1,6,2,3,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => 2
[6,3,4,2,5,1] => [1,6,2,3,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => 2
[6,3,4,5,1,2] => [1,6,2,3,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => 2
[6,3,4,5,2,1] => [1,6,2,3,4,5] => [1,2,3,6,4,5] => ([(3,5),(4,5)],6) => 2
[6,4,1,2,5,3] => [1,6,3,2,4,5] => [3,1,6,2,4,5] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,4,1,5,2,3] => [1,6,3,2,4,5] => [3,1,6,2,4,5] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,4,2,1,5,3] => [1,6,3,2,4,5] => [3,1,6,2,4,5] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[6,4,2,5,1,3] => [1,6,3,2,4,5] => [3,1,6,2,4,5] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2
[1,2,3,4,7,5,6] => [1,2,3,4,5,7,6] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,2,3,4,7,6,5] => [1,2,3,4,5,7,6] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,2,3,5,7,4,6] => [1,2,3,4,5,7,6] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,2,3,5,7,6,4] => [1,2,3,4,5,7,6] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,2,3,6,4,7,5] => [1,2,3,4,6,7,5] => [6,1,2,3,4,7,5] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2
[1,2,3,6,5,7,4] => [1,2,3,4,6,7,5] => [6,1,2,3,4,7,5] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2
[1,2,4,3,7,5,6] => [1,2,3,4,5,7,6] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,2,4,3,7,6,5] => [1,2,3,4,5,7,6] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,2,4,5,7,3,6] => [1,2,3,4,5,7,6] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,2,4,5,7,6,3] => [1,2,3,4,5,7,6] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,2,4,6,3,7,5] => [1,2,3,4,6,7,5] => [6,1,2,3,4,7,5] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2
[1,2,4,6,5,7,3] => [1,2,3,4,6,7,5] => [6,1,2,3,4,7,5] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2
[1,2,5,3,6,7,4] => [1,2,3,5,6,7,4] => [5,1,2,3,6,7,4] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 2
[1,2,5,4,6,7,3] => [1,2,3,5,6,7,4] => [5,1,2,3,6,7,4] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 2
[1,3,2,4,7,5,6] => [1,2,3,4,5,7,6] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,3,2,4,7,6,5] => [1,2,3,4,5,7,6] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,3,2,5,7,4,6] => [1,2,3,4,5,7,6] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,3,2,5,7,6,4] => [1,2,3,4,5,7,6] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,3,2,6,4,7,5] => [1,2,3,4,6,7,5] => [6,1,2,3,4,7,5] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2
[1,3,2,6,5,7,4] => [1,2,3,4,6,7,5] => [6,1,2,3,4,7,5] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2
[1,3,4,2,7,5,6] => [1,2,3,4,5,7,6] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,3,4,2,7,6,5] => [1,2,3,4,5,7,6] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,3,4,5,7,2,6] => [1,2,3,4,5,7,6] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,3,4,5,7,6,2] => [1,2,3,4,5,7,6] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[1,3,4,6,2,7,5] => [1,2,3,4,6,7,5] => [6,1,2,3,4,7,5] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2
[1,3,4,6,5,7,2] => [1,2,3,4,6,7,5] => [6,1,2,3,4,7,5] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2
[1,3,5,2,6,7,4] => [1,2,3,5,6,7,4] => [5,1,2,3,6,7,4] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 2
[1,3,5,4,6,7,2] => [1,2,3,5,6,7,4] => [5,1,2,3,6,7,4] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 2
[1,4,2,5,6,7,3] => [1,2,4,5,6,7,3] => [4,1,2,5,6,7,3] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 2
[1,4,3,5,6,7,2] => [1,2,4,5,6,7,3] => [4,1,2,5,6,7,3] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 2
[2,1,3,4,7,5,6] => [1,2,3,4,5,7,6] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,1,3,4,7,6,5] => [1,2,3,4,5,7,6] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,1,3,5,7,4,6] => [1,2,3,4,5,7,6] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,1,3,5,7,6,4] => [1,2,3,4,5,7,6] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,1,3,6,4,7,5] => [1,2,3,4,6,7,5] => [6,1,2,3,4,7,5] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2
[2,1,3,6,5,7,4] => [1,2,3,4,6,7,5] => [6,1,2,3,4,7,5] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2
[2,1,4,3,7,5,6] => [1,2,3,4,5,7,6] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,1,4,3,7,6,5] => [1,2,3,4,5,7,6] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,1,4,5,7,3,6] => [1,2,3,4,5,7,6] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,1,4,5,7,6,3] => [1,2,3,4,5,7,6] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,1,4,6,3,7,5] => [1,2,3,4,6,7,5] => [6,1,2,3,4,7,5] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2
[2,1,4,6,5,7,3] => [1,2,3,4,6,7,5] => [6,1,2,3,4,7,5] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2
[2,1,5,3,6,7,4] => [1,2,3,5,6,7,4] => [5,1,2,3,6,7,4] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 2
[2,1,5,4,6,7,3] => [1,2,3,5,6,7,4] => [5,1,2,3,6,7,4] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 2
[2,3,1,4,7,5,6] => [1,2,3,4,5,7,6] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,3,1,4,7,6,5] => [1,2,3,4,5,7,6] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,3,1,5,7,4,6] => [1,2,3,4,5,7,6] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,3,1,5,7,6,4] => [1,2,3,4,5,7,6] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,3,1,6,4,7,5] => [1,2,3,4,6,7,5] => [6,1,2,3,4,7,5] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2
[2,3,1,6,5,7,4] => [1,2,3,4,6,7,5] => [6,1,2,3,4,7,5] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2
[2,3,4,1,7,5,6] => [1,2,3,4,5,7,6] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,3,4,1,7,6,5] => [1,2,3,4,5,7,6] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,3,4,5,7,1,6] => [1,2,3,4,5,7,6] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,3,4,5,7,6,1] => [1,2,3,4,5,7,6] => [7,1,2,3,4,5,6] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,3,4,6,1,7,5] => [1,2,3,4,6,7,5] => [6,1,2,3,4,7,5] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2
[2,3,4,6,5,7,1] => [1,2,3,4,6,7,5] => [6,1,2,3,4,7,5] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2
[2,3,5,1,6,7,4] => [1,2,3,5,6,7,4] => [5,1,2,3,6,7,4] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 2
[2,3,5,4,6,7,1] => [1,2,3,5,6,7,4] => [5,1,2,3,6,7,4] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 2
[2,4,1,5,6,7,3] => [1,2,4,5,6,7,3] => [4,1,2,5,6,7,3] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 2
[2,4,3,5,6,7,1] => [1,2,4,5,6,7,3] => [4,1,2,5,6,7,3] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 2
[3,1,4,5,6,7,2] => [1,3,4,5,6,7,2] => [3,1,4,5,6,7,2] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2
[3,2,4,5,6,7,1] => [1,3,4,5,6,7,2] => [3,1,4,5,6,7,2] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 2
[3,7,1,2,5,6,4] => [1,3,2,7,4,5,6] => [3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2
[3,7,1,2,6,5,4] => [1,3,2,7,4,5,6] => [3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2
[3,7,1,4,5,6,2] => [1,3,2,7,4,5,6] => [3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2
[3,7,1,4,6,5,2] => [1,3,2,7,4,5,6] => [3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2
[3,7,1,5,2,6,4] => [1,3,2,7,4,5,6] => [3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2
[3,7,1,5,4,6,2] => [1,3,2,7,4,5,6] => [3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2
[3,7,1,5,6,2,4] => [1,3,2,7,4,5,6] => [3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2
[3,7,1,5,6,4,2] => [1,3,2,7,4,5,6] => [3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2
[3,7,2,1,5,6,4] => [1,3,2,7,4,5,6] => [3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2
[3,7,2,1,6,5,4] => [1,3,2,7,4,5,6] => [3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2
[3,7,2,4,5,6,1] => [1,3,2,7,4,5,6] => [3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2
[3,7,2,4,6,5,1] => [1,3,2,7,4,5,6] => [3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2
[3,7,2,5,1,6,4] => [1,3,2,7,4,5,6] => [3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2
[3,7,2,5,4,6,1] => [1,3,2,7,4,5,6] => [3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2
[3,7,2,5,6,1,4] => [1,3,2,7,4,5,6] => [3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2
[3,7,2,5,6,4,1] => [1,3,2,7,4,5,6] => [3,1,7,2,4,5,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 2
[4,7,1,2,5,6,3] => [1,4,2,7,3,5,6] => [4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2
[4,7,1,2,6,5,3] => [1,4,2,7,3,5,6] => [4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2
[4,7,2,1,5,6,3] => [1,4,2,7,3,5,6] => [4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2
[4,7,2,1,6,5,3] => [1,4,2,7,3,5,6] => [4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2
[4,7,3,1,5,6,2] => [1,4,2,7,3,5,6] => [4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2
[4,7,3,1,6,5,2] => [1,4,2,7,3,5,6] => [4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2
[4,7,3,2,5,6,1] => [1,4,2,7,3,5,6] => [4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2
[4,7,3,2,6,5,1] => [1,4,2,7,3,5,6] => [4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2
[4,7,5,1,2,6,3] => [1,4,2,7,3,5,6] => [4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2
[4,7,5,1,3,6,2] => [1,4,2,7,3,5,6] => [4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2
[4,7,5,1,6,2,3] => [1,4,2,7,3,5,6] => [4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2
[4,7,5,1,6,3,2] => [1,4,2,7,3,5,6] => [4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2
[4,7,5,2,1,6,3] => [1,4,2,7,3,5,6] => [4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2
[4,7,5,2,3,6,1] => [1,4,2,7,3,5,6] => [4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2
[4,7,5,2,6,1,3] => [1,4,2,7,3,5,6] => [4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2
[4,7,5,2,6,3,1] => [1,4,2,7,3,5,6] => [4,1,2,7,3,5,6] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2
[6,1,7,4,5,3,2] => [1,6,3,7,2,4,5] => [3,1,6,2,4,7,5] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2
[6,1,7,5,4,3,2] => [1,6,3,7,2,4,5] => [3,1,6,2,4,7,5] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2
[6,2,7,4,5,3,1] => [1,6,3,7,2,4,5] => [3,1,6,2,4,7,5] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2
[6,2,7,5,4,3,1] => [1,6,3,7,2,4,5] => [3,1,6,2,4,7,5] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2
[6,4,7,1,5,3,2] => [1,6,3,7,2,4,5] => [3,1,6,2,4,7,5] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2
[6,4,7,2,5,3,1] => [1,6,3,7,2,4,5] => [3,1,6,2,4,7,5] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2
[6,4,7,5,1,3,2] => [1,6,3,7,2,4,5] => [3,1,6,2,4,7,5] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2
[6,4,7,5,2,3,1] => [1,6,3,7,2,4,5] => [3,1,6,2,4,7,5] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2
[3,2,4,5,6,7,8,1] => [1,3,4,5,6,7,8,2] => [3,1,4,5,6,7,8,2] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[2,3,4,5,6,8,7,1] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,4,5,7,6,8,1] => [1,2,3,4,5,7,8,6] => [7,1,2,3,4,5,8,6] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[2,3,4,6,5,7,8,1] => [1,2,3,4,6,7,8,5] => [6,1,2,3,4,7,8,5] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 2
[2,3,5,4,6,7,8,1] => [1,2,3,5,6,7,8,4] => [5,1,2,3,6,7,8,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 2
[2,4,3,5,6,7,8,1] => [1,2,4,5,6,7,8,3] => [4,1,2,5,6,7,8,3] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 2
[1,3,4,5,6,8,7,2] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,3,4,5,7,6,8,2] => [1,2,3,4,5,7,8,6] => [7,1,2,3,4,5,8,6] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[1,3,4,6,5,7,8,2] => [1,2,3,4,6,7,8,5] => [6,1,2,3,4,7,8,5] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 2
[1,3,5,4,6,7,8,2] => [1,2,3,5,6,7,8,4] => [5,1,2,3,6,7,8,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 2
[1,4,3,5,6,7,8,2] => [1,2,4,5,6,7,8,3] => [4,1,2,5,6,7,8,3] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 2
[2,1,4,5,6,8,7,3] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,1,5,4,6,7,8,3] => [1,2,3,5,6,7,8,4] => [5,1,2,3,6,7,8,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 2
[1,2,4,5,6,8,7,3] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,2,4,6,5,7,8,3] => [1,2,3,4,6,7,8,5] => [6,1,2,3,4,7,8,5] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 2
[1,2,5,4,6,7,8,3] => [1,2,3,5,6,7,8,4] => [5,1,2,3,6,7,8,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 2
[2,3,1,5,7,6,8,4] => [1,2,3,4,5,7,8,6] => [7,1,2,3,4,5,8,6] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[1,3,2,5,6,8,7,4] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,3,2,5,7,6,8,4] => [1,2,3,4,5,7,8,6] => [7,1,2,3,4,5,8,6] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[1,3,2,6,5,7,8,4] => [1,2,3,4,6,7,8,5] => [6,1,2,3,4,7,8,5] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 2
[2,1,3,5,7,6,8,4] => [1,2,3,4,5,7,8,6] => [7,1,2,3,4,5,8,6] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[1,2,3,5,6,8,7,4] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,2,3,5,7,6,8,4] => [1,2,3,4,5,7,8,6] => [7,1,2,3,4,5,8,6] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[1,2,3,6,5,7,8,4] => [1,2,3,4,6,7,8,5] => [6,1,2,3,4,7,8,5] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 2
[2,3,4,1,6,8,7,5] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,4,1,7,6,8,5] => [1,2,3,4,5,7,8,6] => [7,1,2,3,4,5,8,6] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[1,3,4,2,6,8,7,5] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,3,4,2,7,6,8,5] => [1,2,3,4,5,7,8,6] => [7,1,2,3,4,5,8,6] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[2,1,4,3,6,8,7,5] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,1,4,3,7,6,8,5] => [1,2,3,4,5,7,8,6] => [7,1,2,3,4,5,8,6] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[1,2,4,3,6,8,7,5] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,2,4,3,7,6,8,5] => [1,2,3,4,5,7,8,6] => [7,1,2,3,4,5,8,6] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[2,3,1,4,7,6,8,5] => [1,2,3,4,5,7,8,6] => [7,1,2,3,4,5,8,6] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[1,3,2,4,6,8,7,5] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,3,2,4,7,6,8,5] => [1,2,3,4,5,7,8,6] => [7,1,2,3,4,5,8,6] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[2,1,3,4,7,6,8,5] => [1,2,3,4,5,7,8,6] => [7,1,2,3,4,5,8,6] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[1,2,3,4,6,8,7,5] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,2,3,4,7,6,8,5] => [1,2,3,4,5,7,8,6] => [7,1,2,3,4,5,8,6] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[2,3,4,5,1,8,7,6] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,3,4,5,2,8,7,6] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,1,4,5,3,8,7,6] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,2,4,5,3,8,7,6] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,3,2,5,4,8,7,6] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,1,3,5,4,8,7,6] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,2,3,5,4,8,7,6] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,4,1,5,8,7,6] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,3,4,2,5,8,7,6] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,1,4,3,5,8,7,6] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,2,4,3,5,8,7,6] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,3,2,4,5,8,7,6] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,1,3,4,5,8,7,6] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,2,3,4,5,8,7,6] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,1,8,5,6,7,4] => [1,3,2,4,8,5,6,7] => [3,1,8,2,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[3,2,1,8,5,7,6,4] => [1,3,2,4,8,5,6,7] => [3,1,8,2,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[3,2,1,8,6,5,7,4] => [1,3,2,4,8,5,6,7] => [3,1,8,2,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[3,2,1,8,6,7,5,4] => [1,3,2,4,8,5,6,7] => [3,1,8,2,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[2,1,4,3,6,8,5,7] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,1,4,6,3,7,8,5] => [1,2,3,4,6,7,8,5] => [6,1,2,3,4,7,8,5] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 2
[2,1,4,3,7,5,8,6] => [1,2,3,4,5,7,8,6] => [7,1,2,3,4,5,8,6] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[2,1,4,5,7,3,8,6] => [1,2,3,4,5,7,8,6] => [7,1,2,3,4,5,8,6] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[2,1,4,3,5,8,6,7] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,1,4,5,6,8,3,7] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,1,5,6,7,8,3] => [1,2,4,5,6,7,8,3] => [4,1,2,5,6,7,8,3] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 2
[2,1,5,3,6,7,8,4] => [1,2,3,5,6,7,8,4] => [5,1,2,3,6,7,8,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 2
[2,1,3,5,6,8,4,7] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,1,5,6,8,4,7] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,5,1,6,7,8,4] => [1,2,3,5,6,7,8,4] => [5,1,2,3,6,7,8,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 2
[2,3,4,1,6,8,5,7] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,4,6,1,7,8,5] => [1,2,3,4,6,7,8,5] => [6,1,2,3,4,7,8,5] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 2
[2,1,3,4,7,5,8,6] => [1,2,3,4,5,7,8,6] => [7,1,2,3,4,5,8,6] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[2,3,4,1,7,5,8,6] => [1,2,3,4,5,7,8,6] => [7,1,2,3,4,5,8,6] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[2,3,4,5,7,1,8,6] => [1,2,3,4,5,7,8,6] => [7,1,2,3,4,5,8,6] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[2,1,3,4,5,8,6,7] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,1,4,5,8,6,7] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,4,1,5,8,6,7] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,4,5,1,8,6,7] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,4,5,6,8,1,7] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,4,5,6,7,8,2] => [1,3,4,5,6,7,8,2] => [3,1,4,5,6,7,8,2] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[1,3,2,5,7,4,8,6] => [1,2,3,4,5,7,8,6] => [7,1,2,3,4,5,8,6] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[1,3,2,5,4,8,6,7] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,3,5,2,6,7,8,4] => [1,2,3,5,6,7,8,4] => [5,1,2,3,6,7,8,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 2
[1,3,2,6,4,7,8,5] => [1,2,3,4,6,7,8,5] => [6,1,2,3,4,7,8,5] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 2
[1,3,2,4,6,8,5,7] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,3,2,4,7,5,8,6] => [1,2,3,4,5,7,8,6] => [7,1,2,3,4,5,8,6] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[1,3,4,2,7,5,8,6] => [1,2,3,4,5,7,8,6] => [7,1,2,3,4,5,8,6] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[1,3,4,5,7,2,8,6] => [1,2,3,4,5,7,8,6] => [7,1,2,3,4,5,8,6] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[1,3,2,4,5,8,6,7] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,3,4,2,5,8,6,7] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,3,4,5,2,8,6,7] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,3,4,5,6,8,2,7] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,4,2,5,6,7,8,3] => [1,2,4,5,6,7,8,3] => [4,1,2,5,6,7,8,3] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 2
[1,2,4,3,6,8,5,7] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,2,4,6,3,7,8,5] => [1,2,3,4,6,7,8,5] => [6,1,2,3,4,7,8,5] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 2
[1,2,4,3,7,5,8,6] => [1,2,3,4,5,7,8,6] => [7,1,2,3,4,5,8,6] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[1,2,4,5,7,3,8,6] => [1,2,3,4,5,7,8,6] => [7,1,2,3,4,5,8,6] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[1,2,4,3,5,8,6,7] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,2,4,5,3,8,6,7] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,2,4,5,6,8,3,7] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,2,5,3,6,7,8,4] => [1,2,3,5,6,7,8,4] => [5,1,2,3,6,7,8,4] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => 2
[1,2,3,5,7,4,8,6] => [1,2,3,4,5,7,8,6] => [7,1,2,3,4,5,8,6] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[1,2,3,5,4,8,6,7] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,2,3,5,6,8,4,7] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,2,3,6,4,7,8,5] => [1,2,3,4,6,7,8,5] => [6,1,2,3,4,7,8,5] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => 2
[1,2,3,4,6,8,5,7] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,2,3,4,7,5,8,6] => [1,2,3,4,5,7,8,6] => [7,1,2,3,4,5,8,6] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => 2
[1,2,3,4,5,8,6,7] => [1,2,3,4,5,6,8,7] => [8,1,2,3,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,5,1,6,7,3,4] => [1,2,8,4,3,5,6,7] => [4,1,2,8,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[8,6,4,5,1,7,2,3] => [1,8,3,4,5,2,6,7] => [3,1,4,5,8,2,6,7] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[3,1,8,2,5,6,7,4] => [1,3,8,4,2,5,6,7] => [3,1,4,8,2,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[2,8,1,3,5,6,7,4] => [1,2,8,4,3,5,6,7] => [4,1,2,8,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[3,4,2,8,5,6,7,1] => [1,3,2,4,8,5,6,7] => [3,1,8,2,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[2,8,1,3,6,5,7,4] => [1,2,8,4,3,5,6,7] => [4,1,2,8,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[3,4,2,8,5,7,6,1] => [1,3,2,4,8,5,6,7] => [3,1,8,2,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[2,8,5,3,6,1,7,4] => [1,2,8,4,3,5,6,7] => [4,1,2,8,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[6,4,7,5,1,3,8,2] => [1,6,3,7,8,2,4,5] => [3,1,6,2,4,7,8,5] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) => 2
[3,2,1,8,6,7,4,5] => [1,3,2,4,8,5,6,7] => [3,1,8,2,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[4,7,5,1,3,6,8,2] => [1,4,2,7,8,3,5,6] => [4,1,2,7,3,5,8,6] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) => 2
[3,4,2,8,6,1,7,5] => [1,3,2,4,8,5,6,7] => [3,1,8,2,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[1,8,5,2,6,3,7,4] => [1,2,8,4,3,5,6,7] => [4,1,2,8,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[3,1,2,8,4,6,7,5] => [1,3,2,4,8,5,6,7] => [3,1,8,2,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[1,8,3,2,6,7,5,4] => [1,2,8,4,3,5,6,7] => [4,1,2,8,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[5,2,8,4,1,6,7,3] => [1,5,2,3,8,4,6,7] => [5,1,2,3,8,4,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[3,4,1,8,5,6,7,2] => [1,3,2,4,8,5,6,7] => [3,1,8,2,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[5,1,8,6,2,7,3,4] => [1,5,2,3,8,4,6,7] => [5,1,2,3,8,4,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[5,2,8,6,1,7,3,4] => [1,5,2,3,8,4,6,7] => [5,1,2,3,8,4,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[6,2,7,4,5,3,8,1] => [1,6,3,7,8,2,4,5] => [3,1,6,2,4,7,8,5] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) => 2
[5,3,8,4,1,7,6,2] => [1,5,2,3,8,4,6,7] => [5,1,2,3,8,4,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[1,8,5,2,3,7,6,4] => [1,2,8,4,3,5,6,7] => [4,1,2,8,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[1,8,5,2,3,6,7,4] => [1,2,8,4,3,5,6,7] => [4,1,2,8,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[1,8,3,2,5,6,7,4] => [1,2,8,4,3,5,6,7] => [4,1,2,8,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[2,8,3,1,5,6,7,4] => [1,2,8,4,3,5,6,7] => [4,1,2,8,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[3,4,1,8,6,7,2,5] => [1,3,2,4,8,5,6,7] => [3,1,8,2,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[5,2,8,4,1,7,6,3] => [1,5,2,3,8,4,6,7] => [5,1,2,3,8,4,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[1,8,5,3,6,2,7,4] => [1,2,8,4,3,5,6,7] => [4,1,2,8,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[3,4,1,8,5,7,6,2] => [1,3,2,4,8,5,6,7] => [3,1,8,2,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[3,1,2,8,6,4,7,5] => [1,3,2,4,8,5,6,7] => [3,1,8,2,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[1,8,5,3,2,7,6,4] => [1,2,8,4,3,5,6,7] => [4,1,2,8,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[8,2,4,5,1,6,7,3] => [1,8,3,4,5,2,6,7] => [3,1,4,5,8,2,6,7] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[2,8,5,3,6,7,1,4] => [1,2,8,4,3,5,6,7] => [4,1,2,8,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[3,2,8,1,6,5,7,4] => [1,3,8,4,2,5,6,7] => [3,1,4,8,2,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[5,3,8,4,2,6,7,1] => [1,5,2,3,8,4,6,7] => [5,1,2,3,8,4,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[3,7,1,5,4,6,8,2] => [1,3,2,7,8,4,5,6] => [3,1,7,2,4,5,8,6] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[2,8,5,3,1,7,6,4] => [1,2,8,4,3,5,6,7] => [4,1,2,8,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[3,7,2,5,6,1,8,4] => [1,3,2,7,8,4,5,6] => [3,1,7,2,4,5,8,6] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[3,7,1,4,5,6,8,2] => [1,3,2,7,8,4,5,6] => [3,1,7,2,4,5,8,6] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[3,7,1,5,6,2,8,4] => [1,3,2,7,8,4,5,6] => [3,1,7,2,4,5,8,6] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[3,4,1,8,2,6,7,5] => [1,3,2,4,8,5,6,7] => [3,1,8,2,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[4,7,5,1,6,2,8,3] => [1,4,2,7,8,3,5,6] => [4,1,2,7,3,5,8,6] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) => 2
[3,2,1,8,6,4,7,5] => [1,3,2,4,8,5,6,7] => [3,1,8,2,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[3,2,1,8,4,6,7,5] => [1,3,2,4,8,5,6,7] => [3,1,8,2,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[3,2,1,8,4,7,6,5] => [1,3,2,4,8,5,6,7] => [3,1,8,2,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[5,1,8,3,2,6,7,4] => [1,5,2,3,8,4,6,7] => [5,1,2,3,8,4,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[1,8,2,3,5,6,7,4] => [1,2,8,4,3,5,6,7] => [4,1,2,8,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[4,7,1,2,5,6,8,3] => [1,4,2,7,8,3,5,6] => [4,1,2,7,3,5,8,6] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) => 2
[6,4,7,5,2,3,8,1] => [1,6,3,7,8,2,4,5] => [3,1,6,2,4,7,8,5] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) => 2
[5,3,8,6,2,7,4,1] => [1,5,2,3,8,4,6,7] => [5,1,2,3,8,4,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[6,4,7,2,5,3,8,1] => [1,6,3,7,8,2,4,5] => [3,1,6,2,4,7,8,5] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) => 2
[8,6,4,5,2,7,1,3] => [1,8,3,4,5,2,6,7] => [3,1,4,5,8,2,6,7] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[3,5,8,1,2,6,7,4] => [1,3,8,4,2,5,6,7] => [3,1,4,8,2,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[3,2,8,1,5,6,7,4] => [1,3,8,4,2,5,6,7] => [3,1,4,8,2,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[5,3,8,4,1,6,7,2] => [1,5,2,3,8,4,6,7] => [5,1,2,3,8,4,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[2,8,3,1,6,7,5,4] => [1,2,8,4,3,5,6,7] => [4,1,2,8,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[3,4,1,8,6,2,7,5] => [1,3,2,4,8,5,6,7] => [3,1,8,2,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[8,1,4,5,2,6,7,3] => [1,8,3,4,5,2,6,7] => [3,1,4,5,8,2,6,7] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[1,8,2,3,6,5,7,4] => [1,2,8,4,3,5,6,7] => [4,1,2,8,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[5,1,8,4,2,7,6,3] => [1,5,2,3,8,4,6,7] => [5,1,2,3,8,4,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[3,5,8,1,6,7,2,4] => [1,3,8,4,2,5,6,7] => [3,1,4,8,2,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[3,5,8,2,6,1,7,4] => [1,3,8,4,2,5,6,7] => [3,1,4,8,2,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[2,8,1,3,6,7,5,4] => [1,2,8,4,3,5,6,7] => [4,1,2,8,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[2,8,3,1,6,5,7,4] => [1,2,8,4,3,5,6,7] => [4,1,2,8,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[3,2,8,1,5,7,6,4] => [1,3,8,4,2,5,6,7] => [3,1,4,8,2,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[3,1,8,2,5,7,6,4] => [1,3,8,4,2,5,6,7] => [3,1,4,8,2,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[5,3,8,6,2,7,1,4] => [1,5,2,3,8,4,6,7] => [5,1,2,3,8,4,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[6,1,7,4,5,3,8,2] => [1,6,3,7,8,2,4,5] => [3,1,6,2,4,7,8,5] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) => 2
[5,3,8,6,1,4,7,2] => [1,5,2,3,8,4,6,7] => [5,1,2,3,8,4,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[1,8,2,3,6,7,5,4] => [1,2,8,4,3,5,6,7] => [4,1,2,8,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[5,3,8,2,1,7,6,4] => [1,5,2,3,8,4,6,7] => [5,1,2,3,8,4,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[8,6,4,5,2,1,7,3] => [1,8,3,4,5,2,6,7] => [3,1,4,5,8,2,6,7] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(6,7)],8) => 2
[1,8,5,3,2,6,7,4] => [1,2,8,4,3,5,6,7] => [4,1,2,8,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[3,7,1,5,2,6,8,4] => [1,3,2,7,8,4,5,6] => [3,1,7,2,4,5,8,6] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[4,7,1,2,6,5,8,3] => [1,4,2,7,8,3,5,6] => [4,1,2,7,3,5,8,6] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) => 2
[3,1,2,8,5,6,7,4] => [1,3,2,4,8,5,6,7] => [3,1,8,2,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[4,7,3,2,5,6,8,1] => [1,4,2,7,8,3,5,6] => [4,1,2,7,3,5,8,6] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) => 2
[6,4,7,1,5,3,8,2] => [1,6,3,7,8,2,4,5] => [3,1,6,2,4,7,8,5] => ([(0,7),(1,6),(2,6),(3,5),(4,5),(4,7),(6,7)],8) => 2
[3,4,2,8,6,7,5,1] => [1,3,2,4,8,5,6,7] => [3,1,8,2,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[3,4,2,8,6,7,1,5] => [1,3,2,4,8,5,6,7] => [3,1,8,2,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[4,7,2,1,6,5,8,3] => [1,4,2,7,8,3,5,6] => [4,1,2,7,3,5,8,6] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) => 2
[5,3,8,4,2,7,6,1] => [1,5,2,3,8,4,6,7] => [5,1,2,3,8,4,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[3,1,2,8,6,5,7,4] => [1,3,2,4,8,5,6,7] => [3,1,8,2,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[3,4,1,8,6,7,5,2] => [1,3,2,4,8,5,6,7] => [3,1,8,2,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[3,4,2,8,1,7,6,5] => [1,3,2,4,8,5,6,7] => [3,1,8,2,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[3,1,8,2,6,7,5,4] => [1,3,8,4,2,5,6,7] => [3,1,4,8,2,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[3,4,2,8,1,6,7,5] => [1,3,2,4,8,5,6,7] => [3,1,8,2,4,5,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => 2
[4,7,5,2,6,3,8,1] => [1,4,2,7,8,3,5,6] => [4,1,2,7,3,5,8,6] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) => 2
[5,2,8,3,1,6,7,4] => [1,5,2,3,8,4,6,7] => [5,1,2,3,8,4,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[2,8,5,1,3,7,6,4] => [1,2,8,4,3,5,6,7] => [4,1,2,8,3,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[3,7,2,1,5,6,8,4] => [1,3,2,7,8,4,5,6] => [3,1,7,2,4,5,8,6] => ([(0,7),(1,7),(2,5),(3,4),(4,7),(5,6),(6,7)],8) => 2
[5,3,8,1,2,6,7,4] => [1,5,2,3,8,4,6,7] => [5,1,2,3,8,4,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[3,5,8,1,2,7,6,4] => [1,3,8,4,2,5,6,7] => [3,1,4,8,2,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[3,1,8,2,6,5,7,4] => [1,3,8,4,2,5,6,7] => [3,1,4,8,2,5,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => 2
[5,3,8,6,2,4,7,1] => [1,5,2,3,8,4,6,7] => [5,1,2,3,8,4,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[5,1,8,6,2,7,4,3] => [1,5,2,3,8,4,6,7] => [5,1,2,3,8,4,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[5,3,8,6,1,2,7,4] => [1,5,2,3,8,4,6,7] => [5,1,2,3,8,4,6,7] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(5,7)],8) => 2
[4,7,5,2,3,6,8,1] => [1,4,2,7,8,3,5,6] => [4,1,2,7,3,5,8,6] => ([(0,7),(1,6),(2,6),(3,4),(4,7),(5,6),(5,7)],8) => 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
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
cycle-as-one-line notation
Description
Return the permutation obtained by concatenating the cycles of a permutation, each written with minimal element first, sorted by minimal element.
Map
Foata bijection
Description
Sends a permutation to its image under the Foata bijection.
The Foata bijection $\phi$ is a bijection on the set of words with no two equal letters. It can be defined by induction on the size of the word:
Given a word $w_1 w_2 ... w_n$, compute the image inductively by starting with $\phi(w_1) = w_1$.
At the $i$-th step, if $\phi(w_1 w_2 ... w_i) = v_1 v_2 ... v_i$, define $\phi(w_1 w_2 ... w_i w_{i+1})$ by placing $w_{i+1}$ on the end of the word $v_1 v_2 ... v_i$ and breaking the word up into blocks as follows.
  • If $w_{i+1} \geq v_i$, place a vertical line to the right of each $v_k$ for which $w_{i+1} \geq v_k$.
  • If $w_{i+1} < v_i$, place a vertical line to the right of each $v_k$ for which $w_{i+1} < v_k$.
In either case, place a vertical line at the start of the word as well. Now, within each block between vertical lines, cyclically shift the entries one place to the right.
To compute $\phi([1,4,2,5,3])$, the sequence of words is
  • $1$
  • $|1|4 \to 14$
  • $|14|2 \to 412$
  • $|4|1|2|5 \to 4125$
  • $|4|125|3 \to 45123.$
In total, this gives $\phi([1,4,2,5,3]) = [4,5,1,2,3]$.
This bijection sends the major index (St000004The major index of a permutation.) to the number of inversions (St000018The number of inversions of a permutation.).