Identifier
Values
[1] => {{1}} => [1] => ([],1) => 1
[1,2] => {{1},{2}} => [1,1] => ([(0,1)],2) => 2
[2,1] => {{1,2}} => [2] => ([],2) => 1
[1,2,3] => {{1},{2},{3}} => [1,1,1] => ([(0,1),(0,2),(1,2)],3) => 3
[1,3,2] => {{1},{2,3}} => [1,2] => ([(1,2)],3) => 2
[2,1,3] => {{1,2},{3}} => [2,1] => ([(0,2),(1,2)],3) => 2
[2,3,1] => {{1,2,3}} => [3] => ([],3) => 1
[3,1,2] => {{1,2,3}} => [3] => ([],3) => 1
[3,2,1] => {{1,3},{2}} => [2,1] => ([(0,2),(1,2)],3) => 2
[1,2,3,4] => {{1},{2},{3},{4}} => [1,1,1,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 4
[1,2,4,3] => {{1},{2},{3,4}} => [1,1,2] => ([(1,2),(1,3),(2,3)],4) => 3
[1,3,4,2] => {{1},{2,3,4}} => [1,3] => ([(2,3)],4) => 2
[1,4,2,3] => {{1},{2,3,4}} => [1,3] => ([(2,3)],4) => 2
[2,1,4,3] => {{1,2},{3,4}} => [2,2] => ([(1,3),(2,3)],4) => 2
[2,3,1,4] => {{1,2,3},{4}} => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[2,3,4,1] => {{1,2,3,4}} => [4] => ([],4) => 1
[2,4,1,3] => {{1,2,3,4}} => [4] => ([],4) => 1
[2,4,3,1] => {{1,2,4},{3}} => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[3,1,2,4] => {{1,2,3},{4}} => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[3,1,4,2] => {{1,2,3,4}} => [4] => ([],4) => 1
[3,2,4,1] => {{1,3,4},{2}} => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[3,4,1,2] => {{1,3},{2,4}} => [2,2] => ([(1,3),(2,3)],4) => 2
[3,4,2,1] => {{1,2,3,4}} => [4] => ([],4) => 1
[4,1,2,3] => {{1,2,3,4}} => [4] => ([],4) => 1
[4,1,3,2] => {{1,2,4},{3}} => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[4,2,1,3] => {{1,3,4},{2}} => [3,1] => ([(0,3),(1,3),(2,3)],4) => 2
[4,3,1,2] => {{1,2,3,4}} => [4] => ([],4) => 1
[4,3,2,1] => {{1,4},{2,3}} => [2,2] => ([(1,3),(2,3)],4) => 2
[1,2,3,4,5] => {{1},{2},{3},{4},{5}} => [1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 5
[1,2,3,5,4] => {{1},{2},{3},{4,5}} => [1,1,1,2] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,2,4,5,3] => {{1},{2},{3,4,5}} => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 3
[1,2,5,3,4] => {{1},{2},{3,4,5}} => [1,1,3] => ([(2,3),(2,4),(3,4)],5) => 3
[1,3,4,5,2] => {{1},{2,3,4,5}} => [1,4] => ([(3,4)],5) => 2
[1,3,5,2,4] => {{1},{2,3,4,5}} => [1,4] => ([(3,4)],5) => 2
[1,4,2,5,3] => {{1},{2,3,4,5}} => [1,4] => ([(3,4)],5) => 2
[1,4,5,3,2] => {{1},{2,3,4,5}} => [1,4] => ([(3,4)],5) => 2
[1,5,2,3,4] => {{1},{2,3,4,5}} => [1,4] => ([(3,4)],5) => 2
[1,5,4,2,3] => {{1},{2,3,4,5}} => [1,4] => ([(3,4)],5) => 2
[2,1,4,5,3] => {{1,2},{3,4,5}} => [2,3] => ([(2,4),(3,4)],5) => 2
[2,1,5,3,4] => {{1,2},{3,4,5}} => [2,3] => ([(2,4),(3,4)],5) => 2
[2,3,1,5,4] => {{1,2,3},{4,5}} => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[2,3,4,1,5] => {{1,2,3,4},{5}} => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[2,3,4,5,1] => {{1,2,3,4,5}} => [5] => ([],5) => 1
[2,3,5,1,4] => {{1,2,3,4,5}} => [5] => ([],5) => 1
[2,3,5,4,1] => {{1,2,3,5},{4}} => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[2,4,1,3,5] => {{1,2,3,4},{5}} => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[2,4,1,5,3] => {{1,2,3,4,5}} => [5] => ([],5) => 1
[2,4,3,5,1] => {{1,2,4,5},{3}} => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[2,4,5,1,3] => {{1,2,4},{3,5}} => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[2,4,5,3,1] => {{1,2,3,4,5}} => [5] => ([],5) => 1
[2,5,1,3,4] => {{1,2,3,4,5}} => [5] => ([],5) => 1
[2,5,1,4,3] => {{1,2,3,5},{4}} => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[2,5,3,1,4] => {{1,2,4,5},{3}} => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[2,5,4,1,3] => {{1,2,3,4,5}} => [5] => ([],5) => 1
[2,5,4,3,1] => {{1,2,5},{3,4}} => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[3,1,2,5,4] => {{1,2,3},{4,5}} => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[3,1,4,2,5] => {{1,2,3,4},{5}} => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[3,1,4,5,2] => {{1,2,3,4,5}} => [5] => ([],5) => 1
[3,1,5,2,4] => {{1,2,3,4,5}} => [5] => ([],5) => 1
[3,1,5,4,2] => {{1,2,3,5},{4}} => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[3,2,4,5,1] => {{1,3,4,5},{2}} => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[3,2,5,1,4] => {{1,3,4,5},{2}} => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[3,4,1,5,2] => {{1,3},{2,4,5}} => [2,3] => ([(2,4),(3,4)],5) => 2
[3,4,2,1,5] => {{1,2,3,4},{5}} => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[3,4,2,5,1] => {{1,2,3,4,5}} => [5] => ([],5) => 1
[3,4,5,1,2] => {{1,2,3,4,5}} => [5] => ([],5) => 1
[3,4,5,2,1] => {{1,3,5},{2,4}} => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[3,5,1,2,4] => {{1,3},{2,4,5}} => [2,3] => ([(2,4),(3,4)],5) => 2
[3,5,2,1,4] => {{1,2,3,4,5}} => [5] => ([],5) => 1
[3,5,2,4,1] => {{1,2,3,5},{4}} => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[3,5,4,1,2] => {{1,3,4},{2,5}} => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[3,5,4,2,1] => {{1,2,3,4,5}} => [5] => ([],5) => 1
[4,1,2,3,5] => {{1,2,3,4},{5}} => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[4,1,2,5,3] => {{1,2,3,4,5}} => [5] => ([],5) => 1
[4,1,3,5,2] => {{1,2,4,5},{3}} => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[4,1,5,2,3] => {{1,2,4},{3,5}} => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[4,1,5,3,2] => {{1,2,3,4,5}} => [5] => ([],5) => 1
[4,2,1,5,3] => {{1,3,4,5},{2}} => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[4,2,5,3,1] => {{1,3,4,5},{2}} => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[4,3,1,2,5] => {{1,2,3,4},{5}} => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[4,3,1,5,2] => {{1,2,3,4,5}} => [5] => ([],5) => 1
[4,3,2,5,1] => {{1,4,5},{2,3}} => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[4,3,5,1,2] => {{1,4},{2,3,5}} => [2,3] => ([(2,4),(3,4)],5) => 2
[4,3,5,2,1] => {{1,2,3,4,5}} => [5] => ([],5) => 1
[4,5,1,2,3] => {{1,2,3,4,5}} => [5] => ([],5) => 1
[4,5,1,3,2] => {{1,3,4},{2,5}} => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[4,5,2,1,3] => {{1,4},{2,3,5}} => [2,3] => ([(2,4),(3,4)],5) => 2
[4,5,2,3,1] => {{1,2,3,4,5}} => [5] => ([],5) => 1
[4,5,3,2,1] => {{1,2,4,5},{3}} => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[5,1,2,3,4] => {{1,2,3,4,5}} => [5] => ([],5) => 1
[5,1,2,4,3] => {{1,2,3,5},{4}} => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[5,1,3,2,4] => {{1,2,4,5},{3}} => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[5,1,4,2,3] => {{1,2,3,4,5}} => [5] => ([],5) => 1
[5,1,4,3,2] => {{1,2,5},{3,4}} => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[5,2,1,3,4] => {{1,3,4,5},{2}} => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[5,2,4,1,3] => {{1,3,4,5},{2}} => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[5,3,1,2,4] => {{1,2,3,4,5}} => [5] => ([],5) => 1
[5,3,1,4,2] => {{1,2,3,5},{4}} => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[5,3,2,1,4] => {{1,4,5},{2,3}} => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[5,3,4,1,2] => {{1,2,3,4,5}} => [5] => ([],5) => 1
[5,3,4,2,1] => {{1,5},{2,3,4}} => [2,3] => ([(2,4),(3,4)],5) => 2
>>> Load all 4355 entries. <<<
[5,4,1,2,3] => {{1,3,5},{2,4}} => [3,2] => ([(1,4),(2,4),(3,4)],5) => 2
[5,4,1,3,2] => {{1,2,3,4,5}} => [5] => ([],5) => 1
[5,4,2,1,3] => {{1,2,3,4,5}} => [5] => ([],5) => 1
[5,4,2,3,1] => {{1,5},{2,3,4}} => [2,3] => ([(2,4),(3,4)],5) => 2
[5,4,3,1,2] => {{1,2,4,5},{3}} => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[1,2,3,4,5,6] => {{1},{2},{3},{4},{5},{6}} => [1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 6
[1,2,3,4,6,5] => {{1},{2},{3},{4},{5,6}} => [1,1,1,1,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 5
[1,2,3,5,6,4] => {{1},{2},{3},{4,5,6}} => [1,1,1,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4
[1,2,3,6,4,5] => {{1},{2},{3},{4,5,6}} => [1,1,1,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4
[1,2,4,5,6,3] => {{1},{2},{3,4,5,6}} => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[1,2,4,6,3,5] => {{1},{2},{3,4,5,6}} => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[1,2,5,3,6,4] => {{1},{2},{3,4,5,6}} => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[1,2,5,6,4,3] => {{1},{2},{3,4,5,6}} => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[1,2,6,3,4,5] => {{1},{2},{3,4,5,6}} => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[1,2,6,5,3,4] => {{1},{2},{3,4,5,6}} => [1,1,4] => ([(3,4),(3,5),(4,5)],6) => 3
[1,3,4,5,6,2] => {{1},{2,3,4,5,6}} => [1,5] => ([(4,5)],6) => 2
[1,3,4,6,2,5] => {{1},{2,3,4,5,6}} => [1,5] => ([(4,5)],6) => 2
[1,3,5,2,6,4] => {{1},{2,3,4,5,6}} => [1,5] => ([(4,5)],6) => 2
[1,3,5,6,4,2] => {{1},{2,3,4,5,6}} => [1,5] => ([(4,5)],6) => 2
[1,3,6,2,4,5] => {{1},{2,3,4,5,6}} => [1,5] => ([(4,5)],6) => 2
[1,3,6,5,2,4] => {{1},{2,3,4,5,6}} => [1,5] => ([(4,5)],6) => 2
[1,4,2,5,6,3] => {{1},{2,3,4,5,6}} => [1,5] => ([(4,5)],6) => 2
[1,4,2,6,3,5] => {{1},{2,3,4,5,6}} => [1,5] => ([(4,5)],6) => 2
[1,4,5,3,6,2] => {{1},{2,3,4,5,6}} => [1,5] => ([(4,5)],6) => 2
[1,4,5,6,2,3] => {{1},{2,3,4,5,6}} => [1,5] => ([(4,5)],6) => 2
[1,4,6,3,2,5] => {{1},{2,3,4,5,6}} => [1,5] => ([(4,5)],6) => 2
[1,4,6,5,3,2] => {{1},{2,3,4,5,6}} => [1,5] => ([(4,5)],6) => 2
[1,5,2,3,6,4] => {{1},{2,3,4,5,6}} => [1,5] => ([(4,5)],6) => 2
[1,5,2,6,4,3] => {{1},{2,3,4,5,6}} => [1,5] => ([(4,5)],6) => 2
[1,5,4,2,6,3] => {{1},{2,3,4,5,6}} => [1,5] => ([(4,5)],6) => 2
[1,5,4,6,3,2] => {{1},{2,3,4,5,6}} => [1,5] => ([(4,5)],6) => 2
[1,5,6,2,3,4] => {{1},{2,3,4,5,6}} => [1,5] => ([(4,5)],6) => 2
[1,5,6,3,4,2] => {{1},{2,3,4,5,6}} => [1,5] => ([(4,5)],6) => 2
[1,6,2,3,4,5] => {{1},{2,3,4,5,6}} => [1,5] => ([(4,5)],6) => 2
[1,6,2,5,3,4] => {{1},{2,3,4,5,6}} => [1,5] => ([(4,5)],6) => 2
[1,6,4,2,3,5] => {{1},{2,3,4,5,6}} => [1,5] => ([(4,5)],6) => 2
[1,6,4,5,2,3] => {{1},{2,3,4,5,6}} => [1,5] => ([(4,5)],6) => 2
[1,6,5,2,4,3] => {{1},{2,3,4,5,6}} => [1,5] => ([(4,5)],6) => 2
[1,6,5,3,2,4] => {{1},{2,3,4,5,6}} => [1,5] => ([(4,5)],6) => 2
[2,1,4,5,6,3] => {{1,2},{3,4,5,6}} => [2,4] => ([(3,5),(4,5)],6) => 2
[2,1,4,6,3,5] => {{1,2},{3,4,5,6}} => [2,4] => ([(3,5),(4,5)],6) => 2
[2,1,5,3,6,4] => {{1,2},{3,4,5,6}} => [2,4] => ([(3,5),(4,5)],6) => 2
[2,1,5,6,4,3] => {{1,2},{3,4,5,6}} => [2,4] => ([(3,5),(4,5)],6) => 2
[2,1,6,3,4,5] => {{1,2},{3,4,5,6}} => [2,4] => ([(3,5),(4,5)],6) => 2
[2,1,6,5,3,4] => {{1,2},{3,4,5,6}} => [2,4] => ([(3,5),(4,5)],6) => 2
[2,3,1,5,6,4] => {{1,2,3},{4,5,6}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,3,1,6,4,5] => {{1,2,3},{4,5,6}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,3,4,1,6,5] => {{1,2,3,4},{5,6}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,3,4,5,1,6] => {{1,2,3,4,5},{6}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,3,4,5,6,1] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[2,3,4,6,1,5] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[2,3,4,6,5,1] => {{1,2,3,4,6},{5}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,3,5,1,4,6] => {{1,2,3,4,5},{6}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,3,5,1,6,4] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[2,3,5,4,6,1] => {{1,2,3,5,6},{4}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,3,5,6,1,4] => {{1,2,3,5},{4,6}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,3,5,6,4,1] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[2,3,6,1,4,5] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[2,3,6,1,5,4] => {{1,2,3,4,6},{5}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,3,6,4,1,5] => {{1,2,3,5,6},{4}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,3,6,5,1,4] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[2,3,6,5,4,1] => {{1,2,3,6},{4,5}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,4,1,3,6,5] => {{1,2,3,4},{5,6}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,4,1,5,3,6] => {{1,2,3,4,5},{6}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,4,1,5,6,3] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[2,4,1,6,3,5] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[2,4,1,6,5,3] => {{1,2,3,4,6},{5}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,4,3,5,6,1] => {{1,2,4,5,6},{3}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,4,3,6,1,5] => {{1,2,4,5,6},{3}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,4,5,1,6,3] => {{1,2,4},{3,5,6}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,4,5,3,1,6] => {{1,2,3,4,5},{6}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,4,5,3,6,1] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[2,4,5,6,1,3] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[2,4,5,6,3,1] => {{1,2,4,6},{3,5}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,4,6,1,3,5] => {{1,2,4},{3,5,6}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,4,6,3,1,5] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[2,4,6,3,5,1] => {{1,2,3,4,6},{5}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,4,6,5,1,3] => {{1,2,4,5},{3,6}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,4,6,5,3,1] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[2,5,1,3,4,6] => {{1,2,3,4,5},{6}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,5,1,3,6,4] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[2,5,1,4,6,3] => {{1,2,3,5,6},{4}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,5,1,6,3,4] => {{1,2,3,5},{4,6}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,5,1,6,4,3] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[2,5,3,1,6,4] => {{1,2,4,5,6},{3}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,5,3,6,4,1] => {{1,2,4,5,6},{3}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,5,4,1,3,6] => {{1,2,3,4,5},{6}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,5,4,1,6,3] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[2,5,4,3,6,1] => {{1,2,5,6},{3,4}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,5,4,6,1,3] => {{1,2,5},{3,4,6}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,5,4,6,3,1] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[2,5,6,1,3,4] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[2,5,6,1,4,3] => {{1,2,4,5},{3,6}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,5,6,3,1,4] => {{1,2,5},{3,4,6}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,5,6,3,4,1] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[2,5,6,4,3,1] => {{1,2,3,5,6},{4}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,6,1,3,4,5] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[2,6,1,3,5,4] => {{1,2,3,4,6},{5}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,6,1,4,3,5] => {{1,2,3,5,6},{4}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,6,1,5,3,4] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[2,6,1,5,4,3] => {{1,2,3,6},{4,5}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,6,3,1,4,5] => {{1,2,4,5,6},{3}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,6,3,5,1,4] => {{1,2,4,5,6},{3}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,6,4,1,3,5] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[2,6,4,1,5,3] => {{1,2,3,4,6},{5}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,6,4,3,1,5] => {{1,2,5,6},{3,4}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,6,4,5,1,3] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[2,6,4,5,3,1] => {{1,2,6},{3,4,5}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,6,5,1,3,4] => {{1,2,4,6},{3,5}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,6,5,1,4,3] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[2,6,5,3,1,4] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[2,6,5,3,4,1] => {{1,2,6},{3,4,5}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[2,6,5,4,1,3] => {{1,2,3,5,6},{4}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,1,2,5,6,4] => {{1,2,3},{4,5,6}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,1,2,6,4,5] => {{1,2,3},{4,5,6}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,1,4,2,6,5] => {{1,2,3,4},{5,6}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,1,4,5,2,6] => {{1,2,3,4,5},{6}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,1,4,5,6,2] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[3,1,4,6,2,5] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[3,1,4,6,5,2] => {{1,2,3,4,6},{5}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,1,5,2,4,6] => {{1,2,3,4,5},{6}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,1,5,2,6,4] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[3,1,5,4,6,2] => {{1,2,3,5,6},{4}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,1,5,6,2,4] => {{1,2,3,5},{4,6}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,1,5,6,4,2] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[3,1,6,2,4,5] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[3,1,6,2,5,4] => {{1,2,3,4,6},{5}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,1,6,4,2,5] => {{1,2,3,5,6},{4}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,1,6,5,2,4] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[3,1,6,5,4,2] => {{1,2,3,6},{4,5}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,2,4,5,6,1] => {{1,3,4,5,6},{2}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,2,4,6,1,5] => {{1,3,4,5,6},{2}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,2,5,1,6,4] => {{1,3,4,5,6},{2}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,2,5,6,4,1] => {{1,3,4,5,6},{2}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,2,6,1,4,5] => {{1,3,4,5,6},{2}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,2,6,5,1,4] => {{1,3,4,5,6},{2}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,4,1,5,6,2] => {{1,3},{2,4,5,6}} => [2,4] => ([(3,5),(4,5)],6) => 2
[3,4,1,6,2,5] => {{1,3},{2,4,5,6}} => [2,4] => ([(3,5),(4,5)],6) => 2
[3,4,2,1,6,5] => {{1,2,3,4},{5,6}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,4,2,5,1,6] => {{1,2,3,4,5},{6}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,4,2,5,6,1] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[3,4,2,6,1,5] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[3,4,2,6,5,1] => {{1,2,3,4,6},{5}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,4,5,1,2,6] => {{1,2,3,4,5},{6}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,4,5,1,6,2] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[3,4,5,2,6,1] => {{1,3,5,6},{2,4}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,4,5,6,1,2] => {{1,3,5},{2,4,6}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,4,5,6,2,1] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[3,4,6,1,2,5] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[3,4,6,1,5,2] => {{1,2,3,4,6},{5}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,4,6,2,1,5] => {{1,3,5,6},{2,4}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,4,6,5,1,2] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[3,4,6,5,2,1] => {{1,3,6},{2,4,5}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,5,1,2,6,4] => {{1,3},{2,4,5,6}} => [2,4] => ([(3,5),(4,5)],6) => 2
[3,5,1,6,4,2] => {{1,3},{2,4,5,6}} => [2,4] => ([(3,5),(4,5)],6) => 2
[3,5,2,1,4,6] => {{1,2,3,4,5},{6}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,5,2,1,6,4] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[3,5,2,4,6,1] => {{1,2,3,5,6},{4}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,5,2,6,1,4] => {{1,2,3,5},{4,6}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,5,2,6,4,1] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[3,5,4,1,6,2] => {{1,3,4},{2,5,6}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,5,4,2,1,6] => {{1,2,3,4,5},{6}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,5,4,2,6,1] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[3,5,4,6,1,2] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[3,5,4,6,2,1] => {{1,3,4,6},{2,5}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,5,6,1,2,4] => {{1,3,4,6},{2,5}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,5,6,1,4,2] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[3,5,6,2,1,4] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[3,5,6,2,4,1] => {{1,3,6},{2,4,5}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,5,6,4,1,2] => {{1,2,3,5,6},{4}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,6,1,2,4,5] => {{1,3},{2,4,5,6}} => [2,4] => ([(3,5),(4,5)],6) => 2
[3,6,1,5,2,4] => {{1,3},{2,4,5,6}} => [2,4] => ([(3,5),(4,5)],6) => 2
[3,6,2,1,4,5] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[3,6,2,1,5,4] => {{1,2,3,4,6},{5}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,6,2,4,1,5] => {{1,2,3,5,6},{4}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,6,2,5,1,4] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[3,6,2,5,4,1] => {{1,2,3,6},{4,5}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,6,4,1,2,5] => {{1,3,4},{2,5,6}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,6,4,2,1,5] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[3,6,4,2,5,1] => {{1,2,3,4,6},{5}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,6,4,5,1,2] => {{1,3,4,5},{2,6}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,6,4,5,2,1] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[3,6,5,1,2,4] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[3,6,5,1,4,2] => {{1,3,4,5},{2,6}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,6,5,2,1,4] => {{1,3,5},{2,4,6}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[3,6,5,2,4,1] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[3,6,5,4,2,1] => {{1,2,3,5,6},{4}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,1,2,3,6,5] => {{1,2,3,4},{5,6}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,1,2,5,3,6] => {{1,2,3,4,5},{6}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,1,2,5,6,3] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[4,1,2,6,3,5] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[4,1,2,6,5,3] => {{1,2,3,4,6},{5}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,1,3,5,6,2] => {{1,2,4,5,6},{3}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,1,3,6,2,5] => {{1,2,4,5,6},{3}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,1,5,2,6,3] => {{1,2,4},{3,5,6}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[4,1,5,3,2,6] => {{1,2,3,4,5},{6}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,1,5,3,6,2] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[4,1,5,6,2,3] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[4,1,5,6,3,2] => {{1,2,4,6},{3,5}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,1,6,2,3,5] => {{1,2,4},{3,5,6}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[4,1,6,3,2,5] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[4,1,6,3,5,2] => {{1,2,3,4,6},{5}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,1,6,5,2,3] => {{1,2,4,5},{3,6}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,1,6,5,3,2] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[4,2,1,5,6,3] => {{1,3,4,5,6},{2}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,2,1,6,3,5] => {{1,3,4,5,6},{2}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,2,5,3,6,1] => {{1,3,4,5,6},{2}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,2,5,6,1,3] => {{1,3,4,5,6},{2}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,2,6,3,1,5] => {{1,3,4,5,6},{2}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,2,6,5,3,1] => {{1,3,4,5,6},{2}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,3,1,2,6,5] => {{1,2,3,4},{5,6}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,3,1,5,2,6] => {{1,2,3,4,5},{6}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,3,1,5,6,2] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[4,3,1,6,2,5] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[4,3,1,6,5,2] => {{1,2,3,4,6},{5}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,3,2,5,6,1] => {{1,4,5,6},{2,3}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,3,2,6,1,5] => {{1,4,5,6},{2,3}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,3,5,1,6,2] => {{1,4},{2,3,5,6}} => [2,4] => ([(3,5),(4,5)],6) => 2
[4,3,5,2,1,6] => {{1,2,3,4,5},{6}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,3,5,2,6,1] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[4,3,5,6,1,2] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[4,3,5,6,2,1] => {{1,4,6},{2,3,5}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[4,3,6,1,2,5] => {{1,4},{2,3,5,6}} => [2,4] => ([(3,5),(4,5)],6) => 2
[4,3,6,2,1,5] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[4,3,6,2,5,1] => {{1,2,3,4,6},{5}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,3,6,5,1,2] => {{1,4,5},{2,3,6}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[4,3,6,5,2,1] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[4,5,1,2,3,6] => {{1,2,3,4,5},{6}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,5,1,2,6,3] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[4,5,1,3,6,2] => {{1,3,4},{2,5,6}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[4,5,1,6,2,3] => {{1,3,4,6},{2,5}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,5,1,6,3,2] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[4,5,2,1,6,3] => {{1,4},{2,3,5,6}} => [2,4] => ([(3,5),(4,5)],6) => 2
[4,5,2,3,1,6] => {{1,2,3,4,5},{6}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,5,2,3,6,1] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[4,5,2,6,1,3] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[4,5,2,6,3,1] => {{1,4,6},{2,3,5}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[4,5,3,2,6,1] => {{1,2,4,5,6},{3}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,5,3,6,1,2] => {{1,2,4,5,6},{3}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,5,6,1,3,2] => {{1,4},{2,3,5,6}} => [2,4] => ([(3,5),(4,5)],6) => 2
[4,5,6,2,1,3] => {{1,2,4,5},{3,6}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,5,6,2,3,1] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[4,5,6,3,1,2] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[4,5,6,3,2,1] => {{1,3,4,6},{2,5}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,6,1,2,3,5] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[4,6,1,2,5,3] => {{1,2,3,4,6},{5}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,6,1,3,2,5] => {{1,3,4},{2,5,6}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[4,6,1,5,2,3] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[4,6,1,5,3,2] => {{1,3,4,5},{2,6}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,6,2,1,3,5] => {{1,4},{2,3,5,6}} => [2,4] => ([(3,5),(4,5)],6) => 2
[4,6,2,3,1,5] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[4,6,2,3,5,1] => {{1,2,3,4,6},{5}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,6,2,5,1,3] => {{1,4,5},{2,3,6}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[4,6,2,5,3,1] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[4,6,3,2,1,5] => {{1,2,4,5,6},{3}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,6,3,5,2,1] => {{1,2,4,5,6},{3}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,6,5,1,2,3] => {{1,4},{2,3,5,6}} => [2,4] => ([(3,5),(4,5)],6) => 2
[4,6,5,2,1,3] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[4,6,5,2,3,1] => {{1,2,4,6},{3,5}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,6,5,3,1,2] => {{1,3,4,5},{2,6}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[4,6,5,3,2,1] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[5,1,2,3,4,6] => {{1,2,3,4,5},{6}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,1,2,3,6,4] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[5,1,2,4,6,3] => {{1,2,3,5,6},{4}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,1,2,6,3,4] => {{1,2,3,5},{4,6}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,1,2,6,4,3] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[5,1,3,2,6,4] => {{1,2,4,5,6},{3}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,1,3,6,4,2] => {{1,2,4,5,6},{3}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,1,4,2,3,6] => {{1,2,3,4,5},{6}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,1,4,2,6,3] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[5,1,4,3,6,2] => {{1,2,5,6},{3,4}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,1,4,6,2,3] => {{1,2,5},{3,4,6}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,1,4,6,3,2] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[5,1,6,2,3,4] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[5,1,6,2,4,3] => {{1,2,4,5},{3,6}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,1,6,3,2,4] => {{1,2,5},{3,4,6}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,1,6,3,4,2] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[5,1,6,4,3,2] => {{1,2,3,5,6},{4}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,2,1,3,6,4] => {{1,3,4,5,6},{2}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,2,1,6,4,3] => {{1,3,4,5,6},{2}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,2,4,1,6,3] => {{1,3,4,5,6},{2}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,2,4,6,3,1] => {{1,3,4,5,6},{2}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,2,6,1,3,4] => {{1,3,4,5,6},{2}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,2,6,3,4,1] => {{1,3,4,5,6},{2}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,3,1,2,4,6] => {{1,2,3,4,5},{6}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,3,1,2,6,4] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[5,3,1,4,6,2] => {{1,2,3,5,6},{4}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,3,1,6,2,4] => {{1,2,3,5},{4,6}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,3,1,6,4,2] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[5,3,2,1,6,4] => {{1,4,5,6},{2,3}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,3,2,6,4,1] => {{1,4,5,6},{2,3}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,3,4,1,2,6] => {{1,2,3,4,5},{6}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,3,4,1,6,2] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[5,3,4,2,6,1] => {{1,5,6},{2,3,4}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,3,4,6,1,2] => {{1,5},{2,3,4,6}} => [2,4] => ([(3,5),(4,5)],6) => 2
[5,3,4,6,2,1] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[5,3,6,1,2,4] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[5,3,6,1,4,2] => {{1,4,5},{2,3,6}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,3,6,2,1,4] => {{1,5},{2,3,4,6}} => [2,4] => ([(3,5),(4,5)],6) => 2
[5,3,6,2,4,1] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[5,3,6,4,2,1] => {{1,2,3,5,6},{4}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,4,1,2,6,3] => {{1,3,5,6},{2,4}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,4,1,3,2,6] => {{1,2,3,4,5},{6}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,4,1,3,6,2] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[5,4,1,6,2,3] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[5,4,1,6,3,2] => {{1,3,5},{2,4,6}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,4,2,1,3,6] => {{1,2,3,4,5},{6}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,4,2,1,6,3] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[5,4,2,3,6,1] => {{1,5,6},{2,3,4}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,4,2,6,1,3] => {{1,5},{2,3,4,6}} => [2,4] => ([(3,5),(4,5)],6) => 2
[5,4,2,6,3,1] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[5,4,3,1,6,2] => {{1,2,4,5,6},{3}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,4,3,6,2,1] => {{1,2,4,5,6},{3}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,4,6,1,2,3] => {{1,2,4,5},{3,6}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,4,6,1,3,2] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[5,4,6,2,3,1] => {{1,3,5,6},{2,4}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,4,6,3,1,2] => {{1,5},{2,3,4,6}} => [2,4] => ([(3,5),(4,5)],6) => 2
[5,4,6,3,2,1] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[5,6,1,2,3,4] => {{1,3,5},{2,4,6}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,6,1,2,4,3] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[5,6,1,3,2,4] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[5,6,1,3,4,2] => {{1,3,4,5},{2,6}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,6,1,4,2,3] => {{1,2,3,5,6},{4}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,6,2,1,3,4] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[5,6,2,1,4,3] => {{1,4,5},{2,3,6}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[5,6,2,3,1,4] => {{1,5},{2,3,4,6}} => [2,4] => ([(3,5),(4,5)],6) => 2
[5,6,2,3,4,1] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[5,6,2,4,3,1] => {{1,2,3,5,6},{4}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,6,3,1,2,4] => {{1,2,4,5,6},{3}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,6,3,2,4,1] => {{1,2,4,5,6},{3}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,6,4,1,2,3] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[5,6,4,1,3,2] => {{1,3,4,5},{2,6}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[5,6,4,2,1,3] => {{1,5},{2,3,4,6}} => [2,4] => ([(3,5),(4,5)],6) => 2
[5,6,4,2,3,1] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[5,6,4,3,2,1] => {{1,2,5,6},{3,4}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,1,2,3,4,5] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[6,1,2,3,5,4] => {{1,2,3,4,6},{5}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,1,2,4,3,5] => {{1,2,3,5,6},{4}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,1,2,5,3,4] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[6,1,2,5,4,3] => {{1,2,3,6},{4,5}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,1,3,2,4,5] => {{1,2,4,5,6},{3}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,1,3,5,2,4] => {{1,2,4,5,6},{3}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,1,4,2,3,5] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[6,1,4,2,5,3] => {{1,2,3,4,6},{5}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,1,4,3,2,5] => {{1,2,5,6},{3,4}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,1,4,5,2,3] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[6,1,4,5,3,2] => {{1,2,6},{3,4,5}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[6,1,5,2,3,4] => {{1,2,4,6},{3,5}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,1,5,2,4,3] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[6,1,5,3,2,4] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[6,1,5,3,4,2] => {{1,2,6},{3,4,5}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[6,1,5,4,2,3] => {{1,2,3,5,6},{4}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,2,1,3,4,5] => {{1,3,4,5,6},{2}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,2,1,5,3,4] => {{1,3,4,5,6},{2}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,2,4,1,3,5] => {{1,3,4,5,6},{2}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,2,4,5,1,3] => {{1,3,4,5,6},{2}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,2,5,1,4,3] => {{1,3,4,5,6},{2}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,2,5,3,1,4] => {{1,3,4,5,6},{2}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,3,1,2,4,5] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[6,3,1,2,5,4] => {{1,2,3,4,6},{5}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,3,1,4,2,5] => {{1,2,3,5,6},{4}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,3,1,5,2,4] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[6,3,1,5,4,2] => {{1,2,3,6},{4,5}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,3,2,1,4,5] => {{1,4,5,6},{2,3}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,3,2,5,1,4] => {{1,4,5,6},{2,3}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,3,4,1,2,5] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[6,3,4,1,5,2] => {{1,2,3,4,6},{5}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,3,4,2,1,5] => {{1,5,6},{2,3,4}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[6,3,4,5,1,2] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[6,3,4,5,2,1] => {{1,6},{2,3,4,5}} => [2,4] => ([(3,5),(4,5)],6) => 2
[6,3,5,1,2,4] => {{1,4,6},{2,3,5}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[6,3,5,1,4,2] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[6,3,5,2,1,4] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[6,3,5,2,4,1] => {{1,6},{2,3,4,5}} => [2,4] => ([(3,5),(4,5)],6) => 2
[6,3,5,4,1,2] => {{1,2,3,5,6},{4}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,4,1,2,3,5] => {{1,3,5,6},{2,4}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,4,1,3,2,5] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[6,4,1,3,5,2] => {{1,2,3,4,6},{5}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,4,1,5,2,3] => {{1,3,6},{2,4,5}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[6,4,1,5,3,2] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[6,4,2,1,3,5] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[6,4,2,1,5,3] => {{1,2,3,4,6},{5}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,4,2,3,1,5] => {{1,5,6},{2,3,4}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[6,4,2,5,1,3] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[6,4,2,5,3,1] => {{1,6},{2,3,4,5}} => [2,4] => ([(3,5),(4,5)],6) => 2
[6,4,3,1,2,5] => {{1,2,4,5,6},{3}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,4,3,5,1,2] => {{1,2,4,5,6},{3}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,4,5,1,2,3] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[6,4,5,1,3,2] => {{1,2,4,6},{3,5}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,4,5,2,1,3] => {{1,3,5,6},{2,4}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,4,5,3,1,2] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[6,4,5,3,2,1] => {{1,6},{2,3,4,5}} => [2,4] => ([(3,5),(4,5)],6) => 2
[6,5,1,2,3,4] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[6,5,1,2,4,3] => {{1,3,6},{2,4,5}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[6,5,1,3,2,4] => {{1,3,4,6},{2,5}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,5,1,3,4,2] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[6,5,1,4,3,2] => {{1,2,3,5,6},{4}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,5,2,1,3,4] => {{1,4,6},{2,3,5}} => [3,3] => ([(2,5),(3,5),(4,5)],6) => 2
[6,5,2,1,4,3] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[6,5,2,3,1,4] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[6,5,2,3,4,1] => {{1,6},{2,3,4,5}} => [2,4] => ([(3,5),(4,5)],6) => 2
[6,5,2,4,1,3] => {{1,2,3,5,6},{4}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,5,3,1,4,2] => {{1,2,4,5,6},{3}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,5,3,2,1,4] => {{1,2,4,5,6},{3}} => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,5,4,1,2,3] => {{1,3,4,6},{2,5}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,5,4,1,3,2] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[6,5,4,2,1,3] => {{1,2,3,4,5,6}} => [6] => ([],6) => 1
[6,5,4,2,3,1] => {{1,6},{2,3,4,5}} => [2,4] => ([(3,5),(4,5)],6) => 2
[6,5,4,3,1,2] => {{1,2,5,6},{3,4}} => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[1,2,3,4,5,6,7] => {{1},{2},{3},{4},{5},{6},{7}} => [1,1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 7
[1,2,3,4,5,7,6] => {{1},{2},{3},{4},{5},{6,7}} => [1,1,1,1,1,2] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 6
[2,3,4,5,6,1,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(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}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,3,4,6,1,5,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,3,4,6,5,7,1] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,3,4,7,1,6,5] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,3,4,7,5,1,6] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,3,5,1,6,4,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,3,5,1,7,6,4] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,3,5,4,6,7,1] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,3,5,4,7,1,6] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,3,5,6,4,1,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,3,5,7,4,6,1] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,3,6,1,4,5,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,3,6,1,5,7,4] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,3,6,4,1,7,5] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,3,6,4,7,5,1] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,3,6,5,1,4,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,3,6,7,5,4,1] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,3,7,1,4,6,5] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,3,7,1,5,4,6] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,3,7,4,1,5,6] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,3,7,4,6,1,5] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,3,7,5,1,6,4] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,3,7,6,5,1,4] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,4,1,5,6,3,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,4,1,5,7,6,3] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,4,1,6,3,5,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,4,1,6,5,7,3] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,4,1,7,3,6,5] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,4,1,7,5,3,6] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,4,3,5,6,7,1] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,4,3,5,7,1,6] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,4,3,6,1,7,5] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,4,3,6,7,5,1] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,4,3,7,1,5,6] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,4,3,7,6,1,5] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,4,5,3,6,1,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,4,5,3,7,6,1] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,4,5,6,1,3,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,4,5,7,1,6,3] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,4,6,3,1,5,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,4,6,3,5,7,1] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,4,6,5,3,1,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,4,6,7,5,1,3] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,4,7,3,1,6,5] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,4,7,3,5,1,6] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,4,7,5,3,6,1] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,4,7,6,5,3,1] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,5,1,3,6,4,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,5,1,3,7,6,4] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,5,1,4,6,7,3] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,5,1,4,7,3,6] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,5,1,6,4,3,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,5,1,7,4,6,3] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,5,3,1,6,7,4] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,5,3,1,7,4,6] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,5,3,6,4,7,1] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,5,3,6,7,1,4] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,5,3,7,4,1,6] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,5,3,7,6,4,1] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,5,4,1,6,3,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,5,4,1,7,6,3] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,5,4,6,3,1,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,5,4,7,3,6,1] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,5,6,1,3,4,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,5,6,3,4,1,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,5,6,4,3,7,1] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,5,6,4,7,1,3] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,5,7,1,3,6,4] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,5,7,3,4,6,1] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,5,7,4,3,1,6] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,5,7,4,6,3,1] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,6,1,3,4,5,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,6,1,3,5,7,4] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,6,1,4,3,7,5] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,6,1,4,7,5,3] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,6,1,5,3,4,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,6,1,7,5,4,3] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,6,3,1,4,7,5] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,6,3,1,7,5,4] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,6,3,5,1,7,4] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,6,3,5,7,4,1] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,6,3,7,1,4,5] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,6,3,7,4,5,1] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,6,4,1,3,5,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,6,4,1,5,7,3] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,6,4,5,1,3,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,6,4,7,5,3,1] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,6,5,1,4,3,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,6,5,3,1,4,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,6,5,4,1,7,3] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,6,5,4,7,3,1] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,6,7,1,5,3,4] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,6,7,3,5,4,1] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,6,7,4,1,3,5] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,6,7,4,3,5,1] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,7,1,3,4,6,5] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,7,1,3,5,4,6] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,7,1,4,3,5,6] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,7,1,4,6,3,5] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,7,1,5,3,6,4] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,7,1,6,5,3,4] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,7,3,1,4,5,6] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,7,3,1,6,4,5] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,7,3,5,1,4,6] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,7,3,5,6,1,4] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,7,3,6,1,5,4] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,7,3,6,4,1,5] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,7,4,1,3,6,5] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,7,4,1,5,3,6] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,7,4,5,1,6,3] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,7,4,6,5,1,3] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,7,5,1,4,6,3] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,7,5,3,1,6,4] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,7,5,4,1,3,6] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,7,5,4,6,1,3] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,7,6,1,5,4,3] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,7,6,3,5,1,4] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,7,6,4,1,5,3] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[2,7,6,4,3,1,5] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,1,4,5,6,2,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,1,4,5,7,6,2] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,1,4,6,2,5,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,1,4,6,5,7,2] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,1,4,7,2,6,5] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,1,4,7,5,2,6] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,1,5,2,6,4,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,1,5,2,7,6,4] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,1,5,4,6,7,2] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,1,5,4,7,2,6] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,1,5,6,4,2,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,1,5,7,4,6,2] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,1,6,2,4,5,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,1,6,2,5,7,4] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,1,6,4,2,7,5] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,1,6,4,7,5,2] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,1,6,5,2,4,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,1,6,7,5,4,2] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,1,7,2,4,6,5] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,1,7,2,5,4,6] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,1,7,4,2,5,6] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,1,7,4,6,2,5] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,1,7,5,2,6,4] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,1,7,6,5,2,4] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,2,4,5,6,7,1] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,2,4,5,7,1,6] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,2,4,6,1,7,5] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,2,4,6,7,5,1] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,2,4,7,1,5,6] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,2,4,7,6,1,5] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,2,5,1,6,7,4] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,2,5,1,7,4,6] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,2,5,6,4,7,1] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,2,5,6,7,1,4] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,2,5,7,4,1,6] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,2,5,7,6,4,1] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,2,6,1,4,7,5] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,2,6,1,7,5,4] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,2,6,5,1,7,4] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,2,6,5,7,4,1] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,2,6,7,1,4,5] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,2,6,7,4,5,1] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,2,7,1,4,5,6] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,2,7,1,6,4,5] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,2,7,5,1,4,6] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,2,7,5,6,1,4] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,2,7,6,1,5,4] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,2,7,6,4,1,5] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,4,2,5,6,1,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,4,2,5,7,6,1] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,4,2,6,1,5,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,4,2,6,5,7,1] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,4,2,7,1,6,5] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,4,2,7,5,1,6] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,4,5,1,6,2,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,4,5,1,7,6,2] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,4,5,6,2,1,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,4,5,7,2,6,1] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,4,6,1,2,5,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,4,6,1,5,7,2] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,4,6,5,1,2,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,4,6,7,5,2,1] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,4,7,1,2,6,5] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,4,7,1,5,2,6] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,4,7,5,1,6,2] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,4,7,6,5,1,2] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,5,2,1,6,4,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,5,2,1,7,6,4] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,5,2,4,6,7,1] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,5,2,4,7,1,6] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,5,2,6,4,1,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,5,2,7,4,6,1] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,5,4,2,6,1,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,5,4,2,7,6,1] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,5,4,6,1,2,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,5,4,7,1,6,2] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,5,6,1,4,2,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,5,6,2,1,4,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,5,6,4,1,7,2] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,5,6,4,7,2,1] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,5,7,1,4,6,2] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,5,7,2,1,6,4] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,5,7,4,1,2,6] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,5,7,4,6,1,2] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,6,2,1,4,5,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,6,2,1,5,7,4] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,6,2,4,1,7,5] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,6,2,4,7,5,1] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,6,2,5,1,4,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,6,2,7,5,4,1] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,6,4,2,1,5,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,6,4,2,5,7,1] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,6,4,5,2,1,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,6,4,7,5,1,2] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,6,5,1,2,4,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,6,5,2,4,1,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,6,5,4,2,7,1] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,6,5,4,7,1,2] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,6,7,1,5,4,2] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,6,7,2,5,1,4] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,6,7,4,1,5,2] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,6,7,4,2,1,5] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,2,1,4,6,5] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,2,1,5,4,6] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,2,4,1,5,6] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,2,4,6,1,5] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,2,5,1,6,4] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,2,6,5,1,4] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,4,2,1,6,5] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,4,2,5,1,6] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,4,5,2,6,1] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,4,6,5,2,1] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,5,1,2,6,4] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,5,2,4,6,1] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,5,4,2,1,6] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,5,4,6,2,1] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,6,1,5,2,4] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,6,2,5,4,1] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,6,4,1,2,5] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,6,4,2,5,1] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,1,2,5,6,3,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,1,2,5,7,6,3] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,1,2,6,3,5,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,1,2,6,5,7,3] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,1,2,7,3,6,5] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,1,2,7,5,3,6] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,1,3,5,6,7,2] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,1,3,5,7,2,6] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,1,3,6,2,7,5] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,1,3,6,7,5,2] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,1,3,7,2,5,6] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,1,3,7,6,2,5] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,1,5,3,6,2,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,1,5,3,7,6,2] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,1,5,6,2,3,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,1,5,7,2,6,3] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,1,6,3,2,5,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,1,6,3,5,7,2] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,1,6,5,3,2,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,1,6,7,5,2,3] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,1,7,3,2,6,5] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,1,7,3,5,2,6] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,1,7,5,3,6,2] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,1,7,6,5,3,2] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,2,1,5,6,7,3] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,2,1,5,7,3,6] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,2,1,6,3,7,5] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,2,1,6,7,5,3] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,2,1,7,3,5,6] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,2,1,7,6,3,5] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,2,5,3,6,7,1] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,2,5,3,7,1,6] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,2,5,6,1,7,3] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,2,5,6,7,3,1] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,2,5,7,1,3,6] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,2,5,7,6,1,3] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,2,6,3,1,7,5] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,2,6,3,7,5,1] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,2,6,5,3,7,1] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,2,6,5,7,1,3] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,2,6,7,1,5,3] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,2,6,7,3,1,5] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,2,7,3,1,5,6] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,2,7,3,6,1,5] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,2,7,5,3,1,6] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,2,7,5,6,3,1] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,2,7,6,1,3,5] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,2,7,6,3,5,1] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,3,1,5,6,2,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,3,1,5,7,6,2] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,3,1,6,2,5,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,3,1,6,5,7,2] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,3,1,7,2,6,5] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,3,1,7,5,2,6] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,3,5,2,6,1,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,3,5,2,7,6,1] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,3,5,6,1,2,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,3,5,7,1,6,2] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,3,6,2,1,5,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,3,6,2,5,7,1] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,3,6,5,2,1,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,3,6,7,5,1,2] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,3,7,2,1,6,5] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,3,7,2,5,1,6] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,3,7,5,2,6,1] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,3,7,6,5,2,1] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,5,1,2,6,3,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,5,1,2,7,6,3] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,5,1,6,3,2,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,5,1,7,3,6,2] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,5,2,3,6,1,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,5,2,3,7,6,1] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,5,2,6,1,3,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,5,2,7,1,6,3] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,5,3,2,6,7,1] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,5,3,2,7,1,6] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,5,3,6,1,7,2] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,5,3,6,7,2,1] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,5,3,7,1,2,6] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,5,3,7,6,1,2] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,5,6,2,3,1,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,5,6,3,1,2,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,5,7,2,3,6,1] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,5,7,3,1,6,2] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,6,1,2,3,5,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,6,1,2,5,7,3] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,6,1,5,2,3,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,6,1,7,5,3,2] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,6,2,3,1,5,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,6,2,3,5,7,1] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,6,2,5,3,1,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,6,2,7,5,1,3] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,6,3,2,1,7,5] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,6,3,2,7,5,1] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,6,3,5,2,7,1] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,6,3,5,7,1,2] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,6,3,7,1,5,2] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,6,3,7,2,1,5] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,6,5,2,1,3,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,6,5,3,2,1,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,6,7,2,5,3,1] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,6,7,3,5,1,2] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,7,1,2,3,6,5] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,7,1,2,5,3,6] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,7,1,5,2,6,3] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,7,1,6,5,2,3] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,7,2,3,1,6,5] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,7,2,3,5,1,6] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,7,2,5,3,6,1] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,7,2,6,5,3,1] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,7,3,2,1,5,6] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,7,3,2,6,1,5] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,7,3,5,2,1,6] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,7,3,5,6,2,1] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,7,3,6,1,2,5] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,7,3,6,2,5,1] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,7,5,2,1,6,3] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,7,5,3,2,6,1] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,7,6,2,5,1,3] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,7,6,3,5,2,1] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,1,2,3,6,4,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,1,2,3,7,6,4] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,1,2,4,6,7,3] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,1,2,4,7,3,6] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,1,2,6,4,3,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,1,2,7,4,6,3] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,1,3,2,6,7,4] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,1,3,2,7,4,6] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,1,3,6,4,7,2] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,1,3,6,7,2,4] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,1,3,7,4,2,6] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,1,3,7,6,4,2] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,1,4,2,6,3,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,1,4,2,7,6,3] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,1,4,6,3,2,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,1,4,7,3,6,2] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,1,6,2,3,4,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,1,6,3,4,2,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,1,6,4,3,7,2] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,1,6,4,7,2,3] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,1,7,2,3,6,4] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,1,7,3,4,6,2] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,1,7,4,3,2,6] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,1,7,4,6,3,2] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,2,1,3,6,7,4] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,2,1,3,7,4,6] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,2,1,6,4,7,3] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,2,1,6,7,3,4] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,2,1,7,4,3,6] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,2,1,7,6,4,3] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,2,4,1,6,7,3] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,2,4,1,7,3,6] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,2,4,6,3,7,1] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,2,4,6,7,1,3] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,2,4,7,3,1,6] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,2,4,7,6,3,1] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,2,6,1,3,7,4] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,2,6,1,7,4,3] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,2,6,3,4,7,1] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,2,6,3,7,1,4] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,2,6,7,3,4,1] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,2,6,7,4,1,3] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,2,7,1,3,4,6] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,2,7,1,6,3,4] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,2,7,3,4,1,6] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,2,7,3,6,4,1] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,2,7,6,3,1,4] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,2,7,6,4,3,1] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,3,1,2,6,4,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,3,1,2,7,6,4] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,3,1,4,6,7,2] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,3,1,4,7,2,6] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,3,1,6,4,2,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,3,1,7,4,6,2] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,3,4,1,6,2,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,3,4,1,7,6,2] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,3,4,6,2,1,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,3,4,7,2,6,1] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,3,6,1,2,4,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,3,6,2,4,1,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,3,6,4,2,7,1] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,3,6,4,7,1,2] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,3,7,1,2,6,4] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,3,7,2,4,6,1] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,3,7,4,2,1,6] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,3,7,4,6,2,1] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,4,1,3,6,2,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,4,1,3,7,6,2] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,4,1,6,2,3,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,4,1,7,2,6,3] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,4,2,1,6,3,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,4,2,1,7,6,3] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,4,2,6,3,1,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,4,2,7,3,6,1] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,4,3,1,6,7,2] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,4,3,1,7,2,6] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,4,3,6,2,7,1] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,4,3,6,7,1,2] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,4,3,7,2,1,6] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,4,3,7,6,2,1] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,4,6,1,3,2,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,4,6,3,2,1,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,4,7,1,3,6,2] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,4,7,3,2,6,1] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,6,1,2,4,3,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,6,1,3,2,4,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,6,1,4,2,7,3] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,6,1,4,7,3,2] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,6,2,1,3,4,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,6,2,3,4,1,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,6,2,4,3,7,1] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,6,2,4,7,1,3] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,6,3,1,2,7,4] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,6,3,1,7,4,2] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,6,3,2,4,7,1] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,6,3,2,7,1,4] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,6,3,7,2,4,1] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,6,3,7,4,1,2] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,6,4,1,2,3,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,6,4,2,3,1,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,6,7,4,2,3,1] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,6,7,4,3,1,2] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,7,1,2,4,6,3] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,7,1,3,2,6,4] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,7,1,4,2,3,6] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,7,1,4,6,2,3] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,7,2,1,3,6,4] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,7,2,3,4,6,1] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,7,2,4,3,1,6] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,7,2,4,6,3,1] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,7,3,1,2,4,6] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,7,3,1,6,2,4] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,7,3,2,4,1,6] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,7,3,2,6,4,1] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,7,3,6,2,1,4] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,7,3,6,4,2,1] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,7,4,1,2,6,3] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,7,4,2,3,6,1] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,7,6,4,2,1,3] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[5,7,6,4,3,2,1] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,1,2,3,4,5,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,1,2,3,5,7,4] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,1,2,4,3,7,5] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,1,2,4,7,5,3] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,1,2,5,3,4,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,1,2,7,5,4,3] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,1,3,2,4,7,5] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,1,3,2,7,5,4] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,1,3,5,2,7,4] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,1,3,5,7,4,2] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,1,3,7,2,4,5] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,1,3,7,4,5,2] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,1,4,2,3,5,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,1,4,2,5,7,3] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,1,4,5,2,3,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,1,4,7,5,3,2] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,1,5,2,4,3,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,1,5,3,2,4,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,1,5,4,2,7,3] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,1,5,4,7,3,2] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,1,7,2,5,3,4] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,1,7,3,5,4,2] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,1,7,4,2,3,5] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,1,7,4,3,5,2] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,2,1,3,4,7,5] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,2,1,3,7,5,4] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,2,1,5,3,7,4] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,2,1,5,7,4,3] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,2,1,7,3,4,5] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,2,1,7,4,5,3] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,2,4,1,3,7,5] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,2,4,1,7,5,3] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,2,4,5,1,7,3] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,2,4,5,7,3,1] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,2,4,7,1,3,5] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,2,4,7,3,5,1] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,2,5,1,4,7,3] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,2,5,1,7,3,4] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,2,5,3,1,7,4] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,2,5,3,7,4,1] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,2,5,7,1,4,3] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,2,5,7,4,3,1] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,2,7,1,3,5,4] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,2,7,1,4,3,5] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,2,7,3,1,4,5] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,2,7,3,4,5,1] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,2,7,5,1,3,4] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,2,7,5,3,4,1] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,3,1,2,4,5,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,3,1,2,5,7,4] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,3,1,4,2,7,5] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,3,1,4,7,5,2] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,3,1,5,2,4,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,3,1,7,5,4,2] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,3,4,1,2,5,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,3,4,1,5,7,2] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,3,4,5,1,2,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,3,4,7,5,2,1] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,3,5,1,4,2,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,3,5,2,1,4,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,3,5,4,1,7,2] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,3,5,4,7,2,1] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,3,7,1,5,2,4] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,3,7,2,5,4,1] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,3,7,4,1,2,5] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,3,7,4,2,5,1] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,4,1,3,2,5,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,4,1,3,5,7,2] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,4,1,5,3,2,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,4,1,7,5,2,3] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,4,2,1,3,5,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,4,2,1,5,7,3] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,4,2,5,1,3,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,4,2,7,5,3,1] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,4,3,1,2,7,5] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,4,3,1,7,5,2] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,4,3,5,1,7,2] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,4,3,5,7,2,1] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,4,3,7,1,2,5] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,4,3,7,2,5,1] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,4,5,1,2,3,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,4,5,3,1,2,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,4,7,1,5,3,2] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,4,7,3,5,2,1] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,5,1,2,3,4,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,5,1,3,4,2,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,5,1,4,3,7,2] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,5,1,4,7,2,3] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,5,2,1,4,3,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,5,2,3,1,4,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,5,2,4,1,7,3] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,5,2,4,7,3,1] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,5,3,1,4,7,2] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,5,3,1,7,2,4] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,5,3,2,1,7,4] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,5,3,2,7,4,1] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,5,3,7,1,4,2] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,5,3,7,4,2,1] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,5,4,1,3,2,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,5,4,2,1,3,7] => {{1,2,3,4,5,6},{7}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,5,7,4,1,3,2] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,5,7,4,3,2,1] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,7,1,2,5,4,3] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,7,1,3,5,2,4] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,7,1,4,2,5,3] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,7,1,4,3,2,5] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,7,2,1,5,3,4] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,7,2,3,5,4,1] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,7,2,4,1,3,5] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,7,2,4,3,5,1] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,7,3,1,2,5,4] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,7,3,1,4,2,5] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,7,3,2,1,4,5] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,7,3,2,4,5,1] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,7,3,5,1,2,4] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,7,3,5,2,4,1] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,7,4,1,5,2,3] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,7,4,2,5,3,1] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,7,5,4,1,2,3] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,7,5,4,2,3,1] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,1,2,3,4,6,5] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,1,2,3,5,4,6] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,1,2,4,3,5,6] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,1,2,4,6,3,5] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,1,2,5,3,6,4] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,1,2,6,5,3,4] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,1,3,2,4,5,6] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,1,3,2,6,4,5] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,1,3,5,2,4,6] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,1,3,5,6,2,4] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,1,3,6,2,5,4] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,1,3,6,4,2,5] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,1,4,2,3,6,5] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,1,4,2,5,3,6] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,1,4,5,2,6,3] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,1,4,6,5,2,3] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,1,5,2,4,6,3] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,1,5,3,2,6,4] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,1,5,4,2,3,6] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,1,5,4,6,2,3] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,1,6,2,5,4,3] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,1,6,3,5,2,4] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,1,6,4,2,5,3] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,1,6,4,3,2,5] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,2,1,3,4,5,6] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,2,1,3,6,4,5] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,2,1,5,3,4,6] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,2,1,5,6,3,4] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,2,1,6,3,5,4] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,2,1,6,4,3,5] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,2,4,1,3,5,6] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,2,4,1,6,3,5] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,2,4,5,1,3,6] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,2,4,5,6,1,3] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,2,4,6,1,5,3] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,2,4,6,3,1,5] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,2,5,1,4,3,6] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,2,5,1,6,4,3] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,2,5,3,1,4,6] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,2,5,3,6,1,4] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,2,5,6,1,3,4] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,2,5,6,4,1,3] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,2,6,1,3,4,5] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,2,6,1,4,5,3] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,2,6,3,1,5,4] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,2,6,3,4,1,5] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,2,6,5,1,4,3] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,2,6,5,3,1,4] => {{1,3,4,5,6,7},{2}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,3,1,2,4,6,5] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,3,1,2,5,4,6] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,3,1,4,2,5,6] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,3,1,4,6,2,5] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,3,1,5,2,6,4] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,3,1,6,5,2,4] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,3,4,1,2,6,5] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,3,4,1,5,2,6] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,3,4,5,1,6,2] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,3,4,6,5,1,2] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,3,5,1,4,6,2] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,3,5,2,1,6,4] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,3,5,4,1,2,6] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,3,5,4,6,1,2] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,3,6,1,5,4,2] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,3,6,2,5,1,4] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,3,6,4,1,5,2] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,3,6,4,2,1,5] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,4,1,3,2,6,5] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,4,1,3,5,2,6] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,4,1,5,3,6,2] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,4,1,6,5,3,2] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,4,2,1,3,6,5] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,4,2,1,5,3,6] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,4,2,5,1,6,3] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,4,2,6,5,1,3] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,4,3,1,2,5,6] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,4,3,1,6,2,5] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,4,3,5,1,2,6] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,4,3,5,6,1,2] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,4,3,6,1,5,2] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,4,3,6,2,1,5] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,4,5,1,2,6,3] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,4,5,3,1,6,2] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,4,6,1,5,2,3] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,4,6,3,5,1,2] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,5,1,2,3,6,4] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,5,1,3,4,6,2] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,5,1,4,3,2,6] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,5,1,4,6,3,2] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,5,2,1,4,6,3] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,5,2,3,1,6,4] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,5,2,4,1,3,6] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,5,2,4,6,1,3] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,5,3,1,4,2,6] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,5,3,1,6,4,2] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,5,3,2,1,4,6] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,5,3,2,6,1,4] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,5,3,6,1,2,4] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,5,3,6,4,1,2] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,5,4,1,3,6,2] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,5,4,2,1,6,3] => {{1,2,3,4,5,7},{6}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,5,6,4,1,2,3] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,5,6,4,3,1,2] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,6,1,2,5,3,4] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,6,1,3,5,4,2] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,6,1,4,2,3,5] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,6,1,4,3,5,2] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,6,2,1,5,4,3] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,6,2,3,5,1,4] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,6,2,4,1,5,3] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,6,2,4,3,1,5] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,6,3,1,2,4,5] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,6,3,1,4,5,2] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,6,3,2,1,5,4] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,6,3,2,4,1,5] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,6,3,5,1,4,2] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,6,3,5,2,1,4] => {{1,2,4,5,6,7},{3}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,6,4,1,5,3,2] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,6,4,2,5,1,3] => {{1,2,3,4,6,7},{5}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,6,5,4,1,3,2] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,6,5,4,2,1,3] => {{1,2,3,5,6,7},{4}} => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,6,5,4,8,3,2,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,7,4,8,3,2,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,8,4,3,5,2,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,6,4,3,8,2,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,7,4,3,8,2,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,3,6,7,8,2,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,6,4,8,2,3,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,6,4,3,2,5,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,8,4,3,2,5,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,8,4,2,3,5,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,3,2,4,5,6,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,7,4,3,2,8,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,3,5,7,2,8,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,3,6,7,2,8,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,5,4,2,3,8,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,7,4,2,3,8,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,3,2,4,5,8,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,3,6,2,7,8,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,3,2,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,4,5,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,8,4,3,5,1,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,3,5,6,7,1,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,3,5,7,8,1,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,3,6,7,8,1,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,7,4,8,2,1,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,5,4,6,1,2,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,5,4,7,1,2,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,7,4,8,1,2,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,6,4,3,2,1,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,8,4,2,3,1,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,6,4,2,1,3,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,6,4,1,2,3,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,8,4,1,2,3,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,5,4,2,1,3,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,5,4,1,2,3,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,3,2,4,1,5,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,3,2,1,4,5,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,3,1,2,4,5,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,3,5,6,1,2,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,5,4,2,1,3,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,6,4,1,2,3,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,3,2,4,1,5,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,3,2,1,4,6,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,1,3,4,5,6,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,4,7,3,2,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,6,7,3,2,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,7,3,4,2,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,4,5,2,3,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,4,7,2,3,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,7,3,2,4,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,7,2,3,4,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,4,2,3,5,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,2,3,4,5,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,6,3,2,7,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,4,6,2,7,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,5,6,2,7,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,2,3,6,7,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,2,5,6,7,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,4,5,6,7,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,6,7,3,1,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,5,6,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,4,5,2,1,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,6,7,2,1,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,6,7,1,2,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,5,3,2,1,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,6,2,3,1,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,7,2,3,1,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,5,2,1,3,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,5,1,2,3,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,7,1,2,3,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,4,2,3,1,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,2,3,4,1,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,2,3,1,4,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,1,2,3,4,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,5,1,2,3,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,2,3,1,4,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,1,2,3,4,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,4,1,2,5,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,1,2,4,5,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,2,3,4,5,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[1,2,3,4,5,6,7,8] => {{1},{2},{3},{4},{5},{6},{7},{8}} => [1,1,1,1,1,1,1,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(5,6),(5,7),(6,7)],8) => 8
[4,8,7,6,5,3,2,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,8,7,5,3,2,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,4,7,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,5,7,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,5,8,7,6,2,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,3,6,8,7,2,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,7,6,5,8,2,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,3,7,6,8,2,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,5,4,7,8,2,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,8,7,5,4,3,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,6,8,5,4,3,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,4,8,7,6,3,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,5,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,5,4,8,7,3,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,6,7,5,8,3,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,6,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,6,8,7,5,4,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,5,6,7,8,4,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,5,8,7,6,4,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,7,6,5,8,4,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,2,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,3,6,8,7,5,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,4,7,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,5,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,4,5,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,5,3,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,6,3,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,6,5,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,5,6,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,6,5,3,8,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,5,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,5,3,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,2,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,4,5,6,8,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,6,4,3,2,8,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,7,6,5,2,8,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,6,7,5,2,8,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,3,7,6,2,8,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,6,4,7,2,8,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,5,7,6,4,8,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,6,5,7,4,8,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,3,6,7,5,8,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,4,2,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,5,2,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,2,5,7,6,8,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(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] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,5,4,2,7,8,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,6,4,3,7,8,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,5,6,4,7,8,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,2,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,4,6,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,5,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,3,5,6,7,8,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,6,5,3,2,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,7,6,3,2,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,6,7,4,2,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,7,6,4,3,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,4,7,6,3,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,5,6,7,3,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,5,7,6,4,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,6,5,7,4,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,2,6,7,5,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,4,6,7,5,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,4,6,3,7,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,4,2,6,7,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,1,6,3,7,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,1,5,6,7,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,5,6,1,7,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,6,1,3,7,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,1,6,7,3,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,1,3,7,4,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,5,6,7,1,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,1,7,3,4,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,1,3,4,7,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,6,1,4,7,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,4,6,1,7,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,1,3,4,5,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,7,1,4,5,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,4,7,1,5,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,4,5,7,1,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,6,1,2,7,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,6,7,1,2,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,4,5,6,7,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,5,1,6,7,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,6,1,7,2,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,5,2,7,4,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,6,7,2,4,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,7,1,2,4,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,6,2,4,7,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,7,2,4,5,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,1,2,6,7,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,1,6,7,2,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,1,2,7,3,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,2,5,7,3,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,2,5,6,7,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,1,7,2,3,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,1,2,3,7,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,2,6,3,7,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,1,2,3,5,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,2,7,3,5,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,6,2,3,7,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,2,6,7,3,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,2,3,6,7,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,7,2,3,4,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,2,7,3,4,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,2,3,4,7,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,7,1,2,4,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,7,1,2,3,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,6,1,2,4,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,8,1,4,5,6,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,8,1,3,4,5,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,4,1,3,5,6,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,5,8,1,3,6,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,6,8,1,4,5,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,4,8,1,3,5,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,7,8,1,3,4,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,4,7,1,3,5,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,2,5,1,4,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,2,5,1,3,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,3,5,1,2,4,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,2,7,1,3,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,2,5,1,3,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,2,6,1,3,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,3,8,1,2,5,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,3,8,1,2,4,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,3,6,1,2,4,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,3,7,1,2,5,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,2,4,1,3,5,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,3,5,1,2,4,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,3,5,8,1,2,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,2,4,8,1,3,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,3,5,7,1,2,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,2,4,7,1,3,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,3,6,7,1,2,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,2,4,6,1,3,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,3,5,6,1,2,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,3,6,8,1,2,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,3,5,8,1,2,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,3,6,8,1,2,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,2,4,7,1,3,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,3,5,7,1,2,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,7,2,6,1,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,8,2,5,1,4,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,8,3,5,1,2,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,8,2,5,1,3,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,6,2,5,1,4,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,7,3,5,1,2,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,4,2,6,1,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,3,2,8,1,4,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,3,2,6,1,4,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,3,2,7,1,4,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,6,2,5,1,3,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,4,7,2,6,1,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,3,7,2,5,1,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,3,8,2,7,1,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,4,7,3,6,1,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,3,6,2,5,1,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,5,3,2,6,1,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,6,4,2,5,1,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,7,3,5,8,1,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,3,7,6,8,1,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,3,6,8,7,1,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,2,6,7,1,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,2,6,8,1,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,4,2,5,1,3,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,3,2,1,5,4,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,7,2,1,4,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,8,2,1,4,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,3,2,1,4,6,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,1,4,6,2,5,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,1,3,2,6,5,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,2,1,3,6,5,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,8,1,3,7,5,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,8,4,7,5,1,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,4,8,7,6,1,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,5,8,7,1,6,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,5,8,7,6,1,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,4,2,5,3,8,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,7,1,4,3,8,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,5,1,4,3,8,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,7,2,5,4,8,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,8,2,6,3,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,8,2,6,4,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,4,2,6,3,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,3,2,6,4,8,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,3,2,7,4,8,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,4,2,8,3,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,5,2,8,4,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,5,2,8,3,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,8,1,5,2,6,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,8,4,7,2,6,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,6,3,8,1,5,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,3,8,2,4,6,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,3,1,8,2,4,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,3,8,2,1,4,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,4,5,8,3,6,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,4,5,6,1,3,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,3,6,4,1,2,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,3,8,2,5,4,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,1,5,8,6,2,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,8,2,1,6,3,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,6,7,8,4,1,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,6,2,4,8,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,1,2,3,8,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,5,2,4,8,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,1,2,3,8,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,1,6,2,3,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,5,3,7,1,8,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,5,4,7,2,8,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,5,3,7,6,8,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,6,4,7,1,8,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,6,4,7,5,8,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,6,3,7,1,8,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,6,3,7,5,8,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,5,1,7,4,8,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,6,1,7,5,8,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,6,5,7,1,8,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,5,2,7,6,8,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,6,1,7,4,8,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,6,4,7,2,8,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,5,2,1,6,4,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,3,5,1,4,2,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,1,7,5,3,6,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,6,1,4,7,5,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,6,1,4,7,8,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,3,2,1,5,8,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,6,5,7,4,1,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,6,3,5,1,4,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,5,1,6,8,4,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,2,4,7,1,8,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,6,5,3,8,1,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,6,4,3,8,2,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,5,8,4,1,3,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,5,7,4,6,1,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,3,2,8,7,4,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,7,6,3,1,8,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,3,6,2,1,5,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,6,8,1,7,5,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,2,7,5,1,3,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,2,7,3,5,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,2,6,3,5,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,6,2,3,4,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,8,6,4,1,5,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,8,7,1,4,5,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,6,1,4,8,5,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,7,1,8,4,5,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,3,5,1,7,4,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,2,4,6,7,3,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,8,6,5,7,1,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,4,8,1,6,3,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,4,6,8,2,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,6,3,8,5,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,4,2,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,1,3,5,8,6,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,8,4,1,7,3,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,3,7,4,1,6,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,5,4,6,1,8,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,4,1,5,7,8,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,1,5,7,6,8,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,4,5,6,8,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,3,7,4,2,6,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,7,4,1,2,6,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,1,3,5,2,6,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,7,3,2,6,1,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,6,3,1,5,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,4,1,6,3,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,1,2,7,6,3,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,4,2,5,7,1,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,3,5,2,7,4,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,2,4,3,5,1,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,2,3,5,1,6,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,2,1,4,6,5,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,1,3,4,5,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,5,3,6,1,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,8,2,1,3,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,6,2,1,8,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,2,6,4,8,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,2,8,6,4,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,2,8,4,5,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,8,2,3,1,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,8,3,6,2,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,4,8,6,2,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,5,2,8,1,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,2,5,8,4,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,2,6,8,5,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,2,5,6,8,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,1,4,2,3,8,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,6,4,3,8,1,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,4,2,7,6,8,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,7,8,5,1,4,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,6,7,5,1,3,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,3,6,1,7,2,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,7,4,1,2,8,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,3,7,1,8,2,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,7,4,8,5,1,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,6,3,4,7,1,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,7,3,4,5,8,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,3,5,2,4,8,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,3,7,6,1,2,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,8,2,4,6,1,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,7,8,2,6,1,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,8,6,1,3,4,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,8,3,2,6,5,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,5,4,6,7,2,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,5,3,6,2,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,1,3,2,5,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,1,3,2,6,8,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,1,4,6,8,2,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,3,8,2,5,1,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,3,7,2,5,8,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,3,1,7,2,8,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,3,1,2,7,8,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,3,1,2,8,5,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,3,8,2,7,5,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,3,8,7,2,4,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,3,1,8,2,4,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,3,7,8,2,1,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,3,7,2,8,1,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,1,2,5,4,6,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,1,3,7,6,2,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,8,3,4,1,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,7,2,4,3,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,8,4,3,1,2,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,2,8,5,1,3,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,8,1,5,2,3,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,2,8,1,6,5,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,8,1,5,3,4,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,2,8,3,1,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,3,8,1,5,6,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,2,3,8,1,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,3,2,8,1,6,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,3,8,2,1,5,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,3,8,1,2,5,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,7,8,1,5,4,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,7,8,1,4,6,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,4,5,6,1,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,8,5,1,3,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,2,6,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,1,8,6,4,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,4,8,6,1,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,5,1,8,2,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,1,5,8,4,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,4,6,8,5,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,8,4,1,7,5,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,1,2,7,6,8,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,6,1,5,8,3,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,5,1,7,6,8,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,7,1,5,8,2,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,2,1,7,6,8,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,2,1,5,8,3,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,1,5,7,6,2,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,4,1,7,5,8,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,6,4,8,2,5,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,8,2,5,7,1,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,1,3,7,6,8,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,2,3,7,6,8,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,7,8,6,4,1,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,1,2,8,6,5,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,7,1,5,3,2,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,7,3,1,6,2,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,5,7,1,6,2,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,3,7,1,2,6,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,3,2,7,1,6,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,4,5,7,1,6,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,3,1,7,8,6,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,1,2,8,6,4,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,2,1,6,8,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,1,3,8,7,4,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,1,4,7,8,3,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,3,5,8,2,4,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,7,3,4,1,8,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,8,6,7,3,4,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,4,1,5,2,8,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,7,3,5,2,8,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,7,3,5,1,6,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,8,4,7,3,6,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,7,4,6,2,8,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,6,2,5,1,8,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,5,1,7,3,8,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,4,1,7,3,8,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,6,2,3,1,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,6,2,8,5,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,6,2,8,4,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,8,4,6,2,5,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,7,3,8,4,5,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,5,1,6,2,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,8,5,6,2,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,7,4,8,5,6,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,1,8,5,3,4,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,6,8,5,4,1,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,2,8,6,1,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,7,4,2,8,1,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,6,4,1,2,8,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,6,1,2,5,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,6,3,1,5,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,1,2,3,4,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,2,3,7,6,4,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,5,1,2,3,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,5,2,4,3,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,5,3,1,2,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,1,2,6,8,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,6,2,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,1,7,8,6,5,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,4,1,5,8,6,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,7,1,5,8,6,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,8,1,3,7,4,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,7,3,6,8,1,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,8,3,6,7,1,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,1,8,2,4,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,8,1,2,6,4,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,4,1,6,2,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,5,1,2,6,3,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,2,4,6,7,1,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,8,7,2,6,3,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,4,6,5,1,2,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,4,7,5,1,2,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,8,7,1,6,3,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,8,1,7,6,4,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,8,7,1,6,3,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,4,6,1,5,3,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,8,3,7,6,4,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,3,1,7,5,4,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,8,1,7,6,4,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,8,2,7,6,4,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,3,2,7,5,4,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,8,3,7,6,4,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,8,7,2,6,3,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,8,2,7,6,4,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,6,2,5,8,4,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,2,6,3,8,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,2,8,6,3,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,5,4,2,7,3,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,3,1,7,2,4,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,8,3,2,6,4,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,1,8,6,3,4,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,4,8,3,5,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,8,6,3,1,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,1,8,2,3,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,8,5,1,4,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,8,6,1,5,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,8,5,6,1,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,4,1,8,5,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,1,3,8,5,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,1,8,3,2,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,8,6,4,1,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,8,1,6,4,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,8,1,4,5,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,6,3,4,1,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,6,2,4,1,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,6,5,2,4,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,3,8,2,7,5,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,6,1,5,4,3,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,1,2,4,5,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,1,2,3,6,5,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,1,3,2,4,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,2,3,4,5,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,2,3,8,6,1,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,2,1,3,8,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,1,3,2,8,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,3,2,8,1,6,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,7,4,8,2,6,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,7,8,4,5,1,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,7,8,1,4,5,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,7,1,8,4,6,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,1,7,8,5,6,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,2,7,8,6,5,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,1,2,8,6,3,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,7,2,8,6,4,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,7,8,5,4,2,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,1,4,8,7,3,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,4,8,5,7,1,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,4,8,6,3,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,7,1,8,6,5,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,1,4,6,7,2,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,8,4,3,7,2,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,2,7,3,6,8,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,5,3,2,6,4,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,8,5,7,3,6,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,1,5,8,3,6,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,3,1,6,8,2,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,8,6,4,3,5,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,7,6,5,2,4,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,1,7,4,6,2,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,1,7,3,6,2,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,2,7,3,6,1,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,4,7,3,6,1,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,5,7,2,6,1,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,3,6,1,5,2,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,4,7,1,6,2,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,2,5,1,6,3,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,3,6,1,8,4,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,4,8,3,6,1,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,3,7,2,8,1,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,3,8,2,4,1,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,3,5,2,8,1,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,3,6,2,5,1,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,3,5,2,4,1,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,3,6,2,7,1,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,3,8,2,7,1,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,3,6,2,8,1,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,3,5,2,8,1,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,3,8,2,4,1,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,3,7,2,4,1,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,3,8,2,5,1,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,3,5,2,7,1,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,8,3,4,5,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,2,1,4,3,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,1,5,2,4,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,2,6,1,5,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,2,3,8,5,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,1,6,3,2,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,8,6,4,2,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,1,3,6,4,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,5,1,7,3,4,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,1,3,7,8,4,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,1,6,7,2,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,3,2,6,7,1,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,5,6,7,8,1,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,1,6,5,2,4,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,7,8,2,6,4,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,3,7,2,1,5,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,8,4,3,5,6,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,8,4,2,5,1,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,3,8,2,1,4,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,4,8,3,5,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,4,2,8,6,1,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,4,2,7,6,1,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,3,2,6,1,8,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,3,7,2,1,8,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,3,2,7,1,8,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,2,3,7,1,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,5,3,8,1,6,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,1,7,3,2,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,1,5,7,2,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,4,1,2,7,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,4,1,3,7,8,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,2,1,4,7,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,5,1,2,7,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,1,5,8,3,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,5,1,8,2,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,5,8,2,1,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,6,2,7,4,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,5,3,7,1,6,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,2,4,3,7,1,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,5,6,1,8,3,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,5,1,8,4,6,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,5,6,1,7,8,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,5,1,8,7,4,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,5,1,6,7,8,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,1,7,4,2,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,5,1,7,8,6,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,5,1,8,6,4,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,3,6,7,1,8,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,4,6,8,1,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,1,7,5,8,6,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,1,7,5,3,8,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,3,2,6,1,5,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,3,2,6,7,1,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,7,8,2,6,1,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,7,4,8,1,6,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,5,7,8,1,6,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,2,1,7,4,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,7,1,4,8,6,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,3,7,2,1,5,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,7,2,1,5,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,3,2,1,5,6,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,5,1,4,2,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,7,1,5,3,4,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,7,4,6,1,5,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,7,3,6,1,5,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,3,2,7,4,6,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,5,2,4,3,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,7,3,4,1,6,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,7,5,6,1,4,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,7,2,5,1,4,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,7,1,6,4,5,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,7,4,6,2,5,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,8,3,6,1,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,8,1,3,2,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,8,6,3,2,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,2,8,4,5,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,1,8,4,5,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,4,6,1,5,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,1,8,4,5,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,6,8,4,5,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,6,8,4,5,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,1,5,3,4,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,1,4,2,8,3,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,8,1,5,2,4,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,2,8,5,3,4,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,1,3,2,4,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,7,1,5,2,4,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,1,4,2,7,3,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,2,7,3,4,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,3,8,4,7,1,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,1,8,3,6,2,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,3,5,2,4,1,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,3,5,1,7,2,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,3,7,6,1,5,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,2,3,5,4,8,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,7,3,6,4,8,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,3,7,6,8,5,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,1,3,5,8,4,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,4,7,1,6,5,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,4,7,2,6,5,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,2,7,1,6,5,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,7,2,1,6,4,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,7,1,8,6,4,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,7,1,2,6,4,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,1,7,2,6,5,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,5,1,8,3,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,4,5,7,6,2,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,6,1,8,2,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,6,1,2,8,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,3,5,7,2,6,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,6,1,4,8,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,1,4,2,8,6,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,4,1,2,8,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,4,1,3,8,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,1,4,3,8,6,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,2,1,4,8,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,2,1,8,3,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,2,1,3,8,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,1,3,4,8,6,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,6,3,5,8,1,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,6,5,8,1,3,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,1,6,5,8,3,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,6,8,1,5,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,1,6,8,5,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,6,3,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,3,6,8,5,1,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,6,8,3,1,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,2,8,5,7,1,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,1,4,8,7,5,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,2,4,8,3,6,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,2,1,5,8,3,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,4,8,7,1,3,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,2,1,5,4,8,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,2,5,1,6,3,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,2,1,4,5,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,2,1,5,7,4,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,8,6,1,7,3,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,8,1,6,7,4,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,8,1,7,4,6,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,7,1,6,4,8,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,7,6,1,3,8,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,8,7,1,3,6,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,6,7,1,8,3,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,6,1,7,8,4,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,6,4,8,7,1,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,1,2,4,6,5,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,3,1,4,2,6,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,1,5,2,3,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,1,6,4,3,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,5,7,4,3,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,6,1,5,8,2,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,4,1,5,3,2,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,1,7,4,3,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,7,6,4,3,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,6,7,5,8,2,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,1,6,5,3,2,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,6,1,3,7,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,1,4,6,3,2,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,6,4,7,8,2,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,7,1,4,3,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,5,4,1,3,2,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,6,4,1,8,2,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,5,1,4,3,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,7,2,5,8,1,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,4,1,6,7,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,3,2,7,1,8,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,6,3,2,1,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,5,2,1,4,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,3,6,2,8,4,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,6,4,1,8,3,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,5,1,8,6,2,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,4,8,7,6,1,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,4,8,5,7,1,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,5,4,8,1,2,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,3,5,8,7,2,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,3,5,8,2,6,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,5,4,8,2,1,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,4,8,5,1,6,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,4,8,1,6,5,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,4,8,1,5,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,1,7,2,6,3,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,5,7,1,6,3,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,1,7,4,6,3,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,2,7,1,6,3,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,2,7,4,6,1,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,1,4,8,5,2,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,3,7,8,4,5,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,3,7,8,1,6,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,1,4,8,2,6,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,2,3,6,1,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,2,3,5,7,1,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,2,8,1,3,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,1,3,6,2,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,7,1,8,6,2,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,5,7,1,8,6,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,2,6,8,1,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,7,5,3,2,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,3,2,7,5,8,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,8,4,1,2,3,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,8,4,2,3,1,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,4,2,8,5,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,6,5,3,2,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,5,1,2,4,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,1,5,6,2,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,5,2,1,4,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,2,5,6,1,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,1,5,6,3,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,2,5,6,3,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,8,3,1,7,5,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,1,7,5,2,3,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,7,8,5,3,4,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,6,4,2,7,5,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,5,2,4,6,3,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,1,4,3,8,2,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,3,8,6,7,2,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,5,8,7,3,4,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,8,5,7,6,2,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,1,8,7,6,2,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,4,1,3,8,5,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,2,1,3,6,5,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,1,4,3,8,5,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,4,1,3,6,5,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,1,4,6,3,5,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,1,6,3,8,5,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,1,8,6,3,5,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,1,6,4,3,5,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,1,8,3,6,5,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,8,6,1,3,5,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,8,4,1,3,5,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,5,2,8,1,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,8,2,6,1,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,8,3,4,2,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,8,1,3,2,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,6,5,8,1,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,5,4,7,2,8,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,6,1,3,2,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,6,3,4,2,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,5,2,6,1,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,4,1,7,3,6,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,7,6,8,1,5,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,7,1,8,5,6,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,4,1,8,5,6,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,3,2,8,5,6,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,7,4,8,3,5,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,6,3,8,1,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,8,4,3,7,5,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,4,8,3,7,5,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,6,3,4,1,8,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,1,7,3,5,6,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,1,8,6,7,4,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,4,7,3,6,2,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,3,7,1,4,2,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,1,4,7,8,3,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,4,7,5,8,1,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,3,7,1,2,6,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,6,4,1,7,2,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,6,1,5,7,8,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,2,7,1,6,5,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,7,2,1,6,5,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,7,3,2,6,5,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,1,5,7,4,8,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,1,6,7,8,4,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,1,5,7,3,8,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,8,2,3,6,5,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,2,3,8,4,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,8,1,3,5,4,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,1,4,2,8,5,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,6,4,2,8,5,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,1,3,8,4,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,8,3,7,6,1,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,2,3,7,6,1,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,8,1,5,2,4,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,8,1,2,4,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,1,5,8,2,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,8,7,2,6,1,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,2,1,5,3,6,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,6,2,4,7,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,7,5,8,6,1,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,6,7,4,8,1,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,6,5,3,1,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,1,4,8,3,5,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,6,4,8,5,1,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,6,5,2,1,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,6,3,5,8,1,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,1,2,5,3,8,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,6,5,2,4,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,6,5,1,2,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,6,5,1,4,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,1,7,3,5,8,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,5,4,1,3,8,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,7,5,3,8,1,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,8,5,3,6,4,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,3,8,7,4,1,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,8,1,7,3,6,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,7,8,5,2,4,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,8,4,7,2,3,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,8,7,5,2,3,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,2,3,8,6,5,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,2,3,5,8,6,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,1,4,3,7,2,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,3,2,4,1,6,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,3,2,4,7,1,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,2,4,3,1,8,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,2,3,5,7,8,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,2,3,6,8,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,8,5,7,6,1,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,4,2,6,3,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,1,4,7,2,3,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,8,2,7,6,3,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,3,8,7,4,6,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,8,7,6,3,5,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,4,8,7,6,2,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,5,8,7,4,6,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,8,1,3,6,5,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,5,7,1,3,6,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,2,4,7,1,6,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,1,2,4,6,3,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,1,4,6,2,3,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,7,1,3,6,2,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,7,1,3,6,2,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,4,7,1,6,2,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,5,7,1,6,2,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,4,7,2,6,1,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,7,2,4,6,1,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,4,5,2,6,1,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,2,3,4,6,1,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,8,5,3,7,1,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,4,1,8,2,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,4,5,2,3,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,4,2,8,1,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,3,2,8,7,1,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,3,2,1,7,8,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,3,2,7,8,4,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,6,4,3,7,2,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,4,2,6,1,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,3,2,6,4,8,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,7,5,6,2,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,5,6,1,3,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,8,5,1,7,3,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,1,8,6,7,3,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,3,2,6,7,4,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,8,7,1,6,5,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,1,7,8,6,5,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,6,4,3,1,8,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,6,7,5,4,2,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,1,3,6,4,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,1,5,3,4,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,1,2,5,7,3,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,1,2,5,4,3,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,4,2,7,3,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,2,4,8,7,5,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,2,4,6,8,5,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,7,1,2,6,4,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,7,2,6,4,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,7,8,4,6,5,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,2,7,3,6,5,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,5,3,1,6,2,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,3,6,1,2,8,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,3,1,6,4,8,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,3,6,4,1,8,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,3,8,1,4,6,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,3,1,8,2,6,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,3,1,8,4,2,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,3,8,6,1,4,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,8,3,1,6,4,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,3,8,4,1,2,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,3,6,1,8,4,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,3,1,6,8,2,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,3,1,4,8,6,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,8,3,5,7,1,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,1,2,4,5,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,6,2,7,5,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,3,2,1,8,5,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,1,4,8,2,6,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,7,3,8,6,1,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,7,6,4,2,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,8,7,5,3,1,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,3,2,6,8,5,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,5,3,1,6,4,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,2,6,4,3,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,1,7,5,4,3,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,2,6,4,3,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,7,3,2,6,5,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,5,3,2,1,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,8,3,1,6,2,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,5,7,2,4,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,2,4,1,8,5,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,8,2,1,6,4,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,6,4,3,1,5,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,4,6,5,8,3,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,5,4,6,2,8,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,1,7,4,3,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,1,4,7,8,6,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,2,4,7,8,1,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,2,4,8,7,1,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,7,1,5,4,2,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,8,4,1,5,2,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,8,3,6,1,5,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,5,2,1,7,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,5,4,2,8,1,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,1,4,3,5,8,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,7,4,3,5,8,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,6,4,2,7,5,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,1,4,2,7,5,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,8,4,6,2,1,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,5,4,8,2,1,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,4,8,5,2,1,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,8,6,5,2,1,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,4,6,5,8,1,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,6,8,2,1,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,8,2,5,4,3,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,3,7,4,1,8,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,4,7,5,1,8,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,8,7,3,5,6,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,7,4,2,5,6,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,3,8,2,5,6,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,1,5,8,2,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,8,7,3,6,1,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,8,2,7,6,1,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,4,2,1,3,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,2,4,3,5,6,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,3,7,1,5,6,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,1,8,6,3,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,1,3,6,2,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,8,4,6,1,3,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,4,1,8,2,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,1,4,8,3,2,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,3,7,1,4,8,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,1,5,3,2,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,6,4,2,5,3,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,3,8,1,4,2,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,7,2,5,4,6,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,1,5,3,6,8,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,3,8,4,5,1,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,5,6,2,3,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,5,8,4,6,1,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,3,8,6,7,1,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,1,6,5,7,2,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,4,5,1,6,2,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,2,3,1,6,5,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,4,5,2,7,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,3,6,1,5,4,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,1,5,3,6,2,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,4,7,3,5,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,2,5,3,4,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,2,3,1,6,4,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,1,4,3,7,5,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,2,8,1,6,5,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,2,5,1,6,4,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,2,8,1,6,3,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,3,6,1,8,2,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,1,5,2,6,3,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,2,1,7,6,3,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,2,7,1,6,3,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,4,1,2,6,3,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,3,1,7,2,6,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,7,4,1,2,6,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,7,5,1,6,2,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,3,1,6,2,4,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,3,1,2,4,6,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,2,1,3,6,4,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,7,8,5,3,2,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,3,7,6,2,8,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,1,6,3,2,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,7,1,5,2,8,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,6,8,4,7,5,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,8,6,7,3,1,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,3,8,2,1,5,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,5,8,1,6,3,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,8,2,4,5,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,4,2,3,6,1,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,2,4,3,1,6,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,3,1,6,4,5,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,1,3,4,7,5,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,5,4,1,2,8,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,1,7,6,8,3,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,3,1,6,7,2,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,3,1,7,8,2,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,6,7,5,1,2,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,8,1,7,6,2,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,6,3,7,5,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,5,3,7,4,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,3,1,8,5,4,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,6,3,1,8,5,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,1,8,3,7,5,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,5,7,1,4,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,7,6,1,2,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,8,6,1,5,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,1,7,5,2,8,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,4,8,6,1,5,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,2,8,4,6,1,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,2,6,7,5,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,7,1,5,8,6,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,1,3,5,7,2,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,1,4,3,8,2,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,7,6,5,8,4,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,3,2,7,8,4,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,4,6,5,1,3,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,5,4,6,2,1,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,7,8,5,1,6,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,7,5,8,6,2,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,3,1,8,5,4,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,1,8,5,4,3,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,1,6,8,5,4,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,6,7,2,1,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,6,7,3,1,8,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,4,1,5,8,2,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,5,2,7,1,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,6,3,2,5,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,1,3,5,2,8,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,3,7,8,5,1,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,8,4,3,7,1,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,1,3,7,2,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,7,8,5,3,2,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,1,8,2,6,5,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,7,8,5,2,1,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,8,4,7,3,1,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,1,8,5,2,6,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,4,8,2,6,5,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,4,5,8,3,1,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,2,3,1,6,8,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,7,6,3,8,1,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,3,7,4,2,6,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,3,7,6,2,1,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,5,2,7,6,1,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,7,8,6,1,5,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,1,6,3,7,5,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,3,1,7,5,2,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,6,8,1,5,4,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,7,3,2,1,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,3,6,2,1,4,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,7,6,2,1,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,7,2,5,1,8,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,7,2,5,1,4,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,2,6,5,1,4,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,4,2,1,7,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,2,7,1,4,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,2,1,5,4,6,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,1,7,5,8,3,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,1,7,5,4,8,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,1,6,5,7,8,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,5,6,8,1,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,2,3,5,4,6,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,3,5,6,2,1,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,8,2,5,3,6,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,7,5,2,6,1,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,7,4,6,8,1,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,3,7,6,2,1,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,6,3,8,5,1,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,2,4,7,5,1,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,4,5,7,6,1,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,4,5,6,8,1,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,5,6,8,2,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,5,6,8,1,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,1,6,8,3,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,2,6,8,3,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,4,1,5,2,8,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,1,7,5,8,2,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,5,1,8,4,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,5,4,8,1,6,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,3,2,8,4,6,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,5,6,8,3,1,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,2,4,1,8,5,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,3,1,2,7,8,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,8,4,2,1,5,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,1,7,3,8,5,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,7,1,8,5,4,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,4,1,7,6,3,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,7,4,6,2,1,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,5,6,8,7,1,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,1,6,7,3,4,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,4,6,7,1,3,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,7,3,4,6,2,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,5,4,1,8,6,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,6,4,1,5,2,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,1,6,5,8,3,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,2,1,6,8,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,7,8,3,6,2,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,3,8,7,2,1,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,4,2,3,1,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,5,3,6,2,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,5,1,6,8,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,1,8,5,4,6,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,1,2,4,3,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,6,8,2,4,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,7,5,3,1,6,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,7,1,5,8,4,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,1,8,4,3,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,1,6,5,8,2,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,5,1,8,4,3,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,2,1,5,3,4,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,3,5,7,8,6,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,3,2,4,1,8,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,3,6,7,8,2,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,2,6,5,8,1,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,5,6,1,8,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,4,1,7,6,8,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,4,6,5,7,8,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,6,7,3,4,8,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,4,7,6,3,8,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,1,7,5,8,3,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,6,1,3,8,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,2,4,8,7,3,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,4,1,7,8,6,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,7,6,5,1,4,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,6,1,5,2,4,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,1,4,2,5,3,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,3,7,6,8,1,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,1,5,3,7,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,3,7,4,8,1,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,4,7,5,8,1,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,1,5,2,6,3,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,3,7,1,5,2,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,3,7,1,4,2,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,1,3,2,6,4,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,5,8,2,6,1,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,4,8,2,6,1,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,2,6,1,5,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,4,2,5,1,8,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,3,7,4,5,2,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,8,4,7,2,1,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,3,6,8,2,1,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,4,8,2,6,1,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,3,5,7,2,6,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,3,5,6,7,2,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,3,7,2,5,6,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,8,2,4,1,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,2,5,1,8,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,3,5,8,2,1,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,4,2,3,1,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,2,8,5,3,1,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,4,2,3,1,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,2,5,1,7,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,7,2,4,1,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,3,6,2,5,8,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,3,6,8,2,5,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,7,3,5,8,2,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,3,5,7,8,2,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,1,7,2,6,3,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,5,4,8,2,3,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,4,8,5,2,3,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,6,1,2,4,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,3,1,2,4,8,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,3,1,2,8,4,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,6,8,5,7,1,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,1,5,8,3,4,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,1,2,5,7,3,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,4,8,5,1,6,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,7,3,5,4,8,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,1,2,5,8,4,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,2,1,5,7,3,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,8,1,4,6,3,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,8,7,5,2,6,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,7,4,2,3,5,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,4,5,2,8,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,1,3,5,4,2,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,6,3,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,7,3,5,2,6,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,5,4,8,7,2,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,1,3,8,6,2,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,2,5,3,4,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,1,4,7,5,8,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,3,6,2,8,4,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,4,1,5,3,8,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,1,4,6,3,8,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,5,4,1,3,6,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,8,6,5,3,2,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,3,8,4,7,5,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,1,2,6,4,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,8,3,6,2,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,5,6,4,8,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,5,1,8,4,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,6,1,8,5,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,4,6,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,2,7,5,8,3,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,7,4,8,2,6,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,6,2,7,1,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,1,2,8,4,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,1,3,8,5,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,1,7,3,4,5,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,6,2,3,4,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,8,3,4,5,6,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,3,8,7,1,2,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,6,1,3,4,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,8,5,3,2,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,3,2,8,5,4,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,4,6,2,8,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,8,2,1,6,5,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,6,3,4,2,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,1,5,8,7,3,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,3,6,1,7,5,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,2,5,1,6,4,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,5,2,6,1,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,3,6,2,7,5,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,7,8,2,6,5,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,8,6,1,7,5,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,7,5,1,6,4,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,1,3,8,6,5,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,6,4,2,8,1,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,5,3,8,2,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,4,2,7,3,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,8,5,3,4,6,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,8,7,3,4,1,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,7,5,3,2,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,3,2,6,4,1,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,7,4,6,2,5,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,8,6,5,2,3,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,8,2,4,3,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,7,2,5,3,8,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,8,1,5,2,3,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,7,3,2,5,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,8,6,1,5,3,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,2,6,3,8,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,3,1,6,7,8,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,8,1,2,5,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,3,1,2,5,6,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,7,1,3,5,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,8,3,1,7,4,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,4,7,8,6,1,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,4,7,8,1,6,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,5,7,6,1,8,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,2,8,6,1,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,8,3,2,4,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,5,7,6,2,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,5,4,2,1,8,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,5,4,8,1,3,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,7,3,1,4,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,4,6,7,2,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,4,6,7,1,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,7,3,2,4,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,4,1,6,2,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,1,7,2,6,8,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,1,4,7,3,8,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,5,4,6,8,1,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,4,6,5,8,2,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,4,5,8,6,1,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,4,5,8,1,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,4,5,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,4,5,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,4,6,5,8,3,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,5,4,6,8,3,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,3,1,4,8,5,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,3,6,1,7,5,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,4,1,7,5,3,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,1,7,3,4,8,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,5,8,2,4,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,7,6,5,1,4,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,6,3,2,5,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,7,2,4,6,8,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,7,1,5,2,8,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,7,4,1,5,8,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,6,3,5,8,2,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,5,3,8,6,1,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,4,8,2,5,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,4,8,3,6,2,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,4,8,5,3,6,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,5,4,8,3,6,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,1,3,5,4,8,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,1,6,2,5,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,6,2,1,5,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,2,1,3,5,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,1,3,5,8,4,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,5,2,6,1,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,6,2,7,1,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,1,7,8,5,3,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,8,3,7,6,1,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,8,3,7,1,6,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,4,8,1,3,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,4,5,1,8,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,5,4,1,2,6,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,5,1,2,4,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,8,4,1,2,6,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,4,2,1,7,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,5,6,8,1,3,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,5,6,1,8,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,1,6,5,7,3,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,3,8,6,4,5,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,2,1,8,6,5,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,3,1,8,7,2,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,8,7,4,5,1,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,6,8,5,1,2,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,8,3,5,1,4,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,8,2,5,7,4,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,1,6,4,3,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,1,6,5,3,8,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,6,1,4,2,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,8,5,1,4,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,6,2,1,5,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,2,1,7,6,4,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,8,6,3,2,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,8,7,3,6,1,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,8,4,2,7,3,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,8,4,6,3,2,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,3,7,4,1,2,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,3,2,4,5,6,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,4,1,2,5,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,4,1,3,6,2,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,7,3,1,5,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,8,3,5,7,2,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,7,2,3,6,8,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,2,7,1,6,8,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,1,4,8,5,6,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,4,8,1,5,3,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,8,7,5,4,3,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,1,8,7,6,4,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,3,1,8,7,5,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,1,4,2,3,5,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,4,2,3,6,5,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,3,6,2,1,5,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,3,8,1,4,5,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,6,4,2,1,5,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,3,6,4,1,5,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,1,3,6,4,5,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,1,4,2,5,6,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,3,8,4,2,1,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,8,6,2,3,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,1,8,2,5,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,1,6,3,5,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,8,1,3,5,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,8,1,3,5,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,1,8,3,5,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,1,8,3,5,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,1,6,3,5,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,8,6,3,5,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,4,1,3,5,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,4,1,3,5,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,2,1,3,5,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,4,1,8,6,3,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,7,4,6,8,2,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,3,1,4,2,5,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,3,1,4,2,8,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,3,1,4,7,2,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,1,4,7,3,2,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,6,3,5,2,1,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,7,4,3,2,1,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,6,2,5,4,1,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,8,4,3,2,1,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,6,2,3,4,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,2,6,3,5,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,3,5,1,7,4,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,2,8,3,1,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,6,4,1,7,5,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,8,3,1,5,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,8,5,1,3,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,5,1,7,2,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,4,7,6,1,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,5,4,6,8,2,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,6,4,8,5,3,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,5,8,4,6,2,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,4,6,5,8,1,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,4,7,5,1,8,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,4,7,1,6,8,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,4,6,1,8,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,5,8,4,2,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,5,4,6,7,2,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,7,4,6,3,8,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,8,4,6,3,2,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,2,4,7,3,6,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,3,2,4,7,5,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,8,6,1,5,4,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,7,2,5,4,6,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,6,2,4,8,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,4,1,8,6,3,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,3,6,4,7,2,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,2,3,5,7,4,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,1,4,7,3,2,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,3,7,1,4,8,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,2,8,3,4,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,3,1,7,2,4,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,1,4,7,2,6,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,3,6,4,7,1,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,6,4,7,1,2,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,1,7,3,5,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,4,7,8,1,5,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,6,7,4,2,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,1,3,6,7,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,8,1,5,4,2,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,8,1,5,4,2,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,2,1,5,8,4,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,8,1,5,7,4,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,4,1,7,5,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,4,1,8,5,3,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,6,1,4,5,3,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,6,1,4,5,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,1,5,6,3,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,2,4,3,1,6,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,6,4,1,7,2,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,6,3,1,2,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,5,4,1,8,6,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,1,6,3,7,8,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,1,8,3,5,6,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,3,5,8,7,1,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,6,1,4,8,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,5,2,1,3,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,5,6,4,2,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,8,4,7,5,3,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,2,6,1,5,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,1,4,6,2,5,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,8,5,7,1,6,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,1,8,4,7,5,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,7,1,4,6,5,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,1,5,6,2,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,5,1,6,2,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,4,2,3,5,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,3,1,4,8,5,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,4,1,2,5,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,2,5,3,1,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,2,3,1,6,5,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,8,2,3,1,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,8,5,6,1,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,5,7,1,6,3,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,1,2,4,3,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,8,7,5,2,1,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,1,6,8,3,4,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,6,8,4,1,3,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,3,7,8,2,5,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,3,1,7,8,2,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,3,7,8,5,2,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,6,3,7,8,1,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,3,2,1,4,8,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,4,1,8,3,5,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,4,8,6,1,3,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,4,7,1,8,5,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,2,8,5,4,1,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,2,7,1,4,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,6,7,3,8,5,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,2,5,3,8,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,8,7,5,2,3,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,6,3,5,8,4,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,1,2,5,8,6,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,8,1,6,2,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,2,4,6,7,3,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,8,2,4,5,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,4,2,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,1,2,8,3,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,2,5,8,3,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,6,8,2,1,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,4,5,8,7,1,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,2,3,4,6,5,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,1,6,5,8,4,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,8,4,7,2,6,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,3,7,6,4,2,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,1,7,8,6,2,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,8,3,1,5,6,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,8,4,3,1,6,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,4,7,8,5,6,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,2,6,5,3,1,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,8,3,1,6,5,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,6,2,5,8,1,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,2,4,6,1,8,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,1,3,8,7,5,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,2,8,1,6,4,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,4,8,3,2,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,1,4,8,2,5,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,2,4,6,8,1,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,1,4,3,2,8,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,2,7,3,1,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,1,2,7,6,8,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,8,4,3,5,1,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,7,3,5,4,1,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,8,4,1,2,6,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,6,5,2,7,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,4,2,1,5,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,1,6,5,2,8,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,4,8,6,7,1,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,7,4,3,5,1,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,7,3,6,2,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,7,3,6,1,8,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,7,5,6,3,8,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,7,5,6,3,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,8,6,7,1,4,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,6,8,4,2,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,8,4,7,3,2,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,7,8,5,2,1,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,4,8,5,1,2,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,1,3,5,4,6,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,4,8,2,5,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,2,3,4,6,5,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,3,6,2,5,4,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,1,6,3,5,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,5,6,2,3,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,1,6,2,5,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,2,1,3,7,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,6,1,2,7,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,5,1,4,3,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,2,5,7,6,3,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,1,2,5,3,4,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,5,1,8,3,4,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,7,6,5,8,1,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,5,4,6,7,1,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,3,8,6,7,4,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,5,8,6,7,4,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,3,2,8,1,4,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,2,8,5,1,4,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,8,7,5,1,6,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,5,8,2,6,4,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,8,2,4,1,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,8,1,6,7,3,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,8,4,6,7,3,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,8,3,2,6,1,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,3,6,4,2,1,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,3,2,8,7,4,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,7,1,3,2,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,8,5,1,6,3,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,2,1,5,8,6,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,1,2,5,8,6,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,4,1,7,6,2,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,1,7,5,4,3,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,3,7,4,8,2,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,8,1,3,6,2,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,4,6,5,2,8,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,2,7,5,3,8,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,2,7,5,8,1,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,7,3,5,1,2,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,7,1,6,2,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,7,4,1,5,2,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,7,3,6,1,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,7,4,3,1,2,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,7,3,6,2,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,5,3,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,8,4,3,2,6,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,8,3,4,2,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,8,3,5,2,6,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,7,3,5,2,8,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,8,4,7,2,3,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,7,2,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,1,5,6,8,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,1,7,5,8,6,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,1,6,8,7,5,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,1,6,8,5,3,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,6,1,8,4,3,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,6,1,8,7,4,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,7,1,8,3,4,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,1,7,8,3,5,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,3,1,8,2,5,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,8,2,5,7,4,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,7,2,4,5,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,6,8,2,4,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,6,4,2,1,3,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,1,5,7,8,6,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,8,5,7,6,2,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,4,2,1,6,3,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,3,2,8,4,1,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,2,6,3,1,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,8,7,1,5,6,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,2,1,3,6,8,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,1,3,2,6,8,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,6,3,7,5,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,7,4,3,8,6,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,3,7,2,8,5,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,4,8,1,5,6,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,4,8,3,1,5,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,7,4,2,8,6,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,6,5,3,8,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,5,3,1,8,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,1,5,8,3,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,1,8,5,7,3,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,8,3,1,5,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,6,8,1,5,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,1,6,8,5,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,3,6,8,7,5,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,3,8,1,7,5,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,8,5,7,3,1,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,7,6,2,3,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,2,3,7,5,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,2,1,8,6,4,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,8,4,2,1,5,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,1,4,3,5,2,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,2,3,4,6,8,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,2,3,4,8,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,2,3,4,1,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,7,3,5,4,2,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,4,1,2,6,5,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,2,6,5,1,3,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,1,5,8,6,3,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,1,2,5,8,3,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,4,2,3,6,8,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,2,3,6,1,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,6,3,5,7,2,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,6,4,3,7,1,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,8,4,7,2,1,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,8,4,3,7,1,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,5,4,8,7,1,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,1,4,2,8,5,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,5,4,2,8,6,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,2,4,3,8,6,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,8,3,5,4,1,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,4,1,5,8,3,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,1,2,7,5,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,1,4,6,8,3,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,4,2,7,5,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,5,4,1,8,3,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,4,2,1,5,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,6,1,5,2,3,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,2,1,5,4,3,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,2,1,5,4,3,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,7,5,1,3,4,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,1,7,5,2,3,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,6,1,7,4,3,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,7,4,3,2,6,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,3,8,1,2,4,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,6,4,7,2,3,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,7,4,1,2,5,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,1,7,4,6,2,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,3,8,1,2,6,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,2,4,6,8,1,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,4,6,8,1,3,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,6,4,1,7,8,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,6,1,3,7,8,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,2,4,8,1,5,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,7,2,5,8,1,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,4,5,7,3,8,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,4,5,1,7,8,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,4,2,1,6,3,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,5,3,1,6,2,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,4,2,1,6,8,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,5,3,1,6,8,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,3,5,6,1,8,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,3,7,4,1,8,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,3,7,8,1,2,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,3,7,2,4,8,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,3,2,4,8,1,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,3,2,4,1,8,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,3,2,7,8,1,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,3,2,7,4,8,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,3,5,1,2,8,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,3,8,6,4,1,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,7,8,3,6,4,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,7,5,8,6,4,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,5,3,8,6,4,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,5,8,1,6,4,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,7,1,8,6,4,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,1,8,3,6,4,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,1,3,8,6,4,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,1,5,8,6,4,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,3,5,1,2,6,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,5,1,2,6,8,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,7,8,3,4,1,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,8,2,3,4,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,8,1,5,4,6,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,3,6,7,5,1,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,1,7,6,3,5,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,3,2,1,8,6,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,2,1,8,5,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,1,5,6,8,4,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,8,2,5,3,1,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,5,8,7,6,1,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,1,4,7,3,8,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,2,7,5,1,8,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,1,2,8,6,4,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,4,7,5,3,1,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,2,6,4,1,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,8,7,1,4,3,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,2,7,1,5,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,3,1,8,4,5,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,1,4,3,7,5,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,1,7,6,4,3,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,1,8,5,7,3,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,2,1,7,6,3,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,7,2,5,1,6,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,8,7,1,6,2,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,8,6,7,5,1,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,4,7,5,1,6,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,2,4,1,5,6,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,7,1,6,3,4,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,7,2,3,6,4,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,3,7,2,5,6,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,5,8,4,6,3,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,7,6,2,3,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,6,4,2,8,5,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,3,6,2,5,4,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,2,5,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,2,6,1,5,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,2,5,6,1,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,7,8,2,6,4,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,6,4,8,2,1,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,3,8,6,2,4,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,3,6,7,2,4,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,3,8,2,7,4,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,4,8,1,5,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,1,8,2,6,3,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,1,3,2,5,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,2,4,1,5,3,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,1,6,4,7,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,2,6,1,7,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,1,6,3,7,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,1,3,2,7,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,5,7,1,3,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,4,6,1,7,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,2,6,4,7,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,2,6,1,7,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,2,3,1,7,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,2,7,5,4,8,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,6,8,5,7,2,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,6,3,1,8,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,6,2,1,7,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,3,7,6,1,8,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,6,3,1,7,8,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,7,2,8,6,4,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,1,3,7,5,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,6,2,7,4,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,1,6,2,7,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,3,6,1,5,4,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,8,3,5,2,1,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,3,2,7,5,1,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,2,8,7,6,1,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,7,8,4,3,1,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,3,1,8,4,6,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,7,3,1,6,5,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,3,5,1,4,2,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,2,4,3,8,1,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,3,8,6,7,1,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,4,8,3,6,1,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,3,6,4,8,1,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,2,7,1,5,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,1,6,2,5,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,2,6,5,8,1,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,3,8,1,7,5,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,3,8,4,7,1,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,3,8,1,7,4,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,1,8,3,6,4,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,6,8,3,7,4,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,8,4,2,7,5,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,7,5,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,5,3,8,6,4,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,2,3,8,6,4,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,2,5,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,5,7,8,6,1,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,1,2,3,6,4,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,2,1,4,3,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,2,4,3,1,5,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,5,2,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,4,5,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,2,1,5,3,6,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,3,8,4,2,5,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,8,4,3,5,6,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,7,8,4,3,5,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,7,4,8,3,5,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,7,8,5,3,4,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,1,8,4,5,6,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,1,6,3,2,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,2,3,7,5,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,2,4,3,5,1,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,7,4,6,3,2,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,7,6,5,3,2,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,2,5,3,6,1,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,2,3,5,4,8,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,2,3,5,8,4,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,2,3,8,6,4,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,1,3,4,2,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,3,6,4,8,5,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,1,4,8,5,2,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,4,8,1,3,6,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,6,3,8,1,4,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,8,1,4,6,2,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,8,2,5,1,6,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,3,7,4,8,2,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,3,2,8,7,5,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,3,8,2,7,4,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,7,2,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,7,8,4,6,2,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,8,2,4,6,3,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,7,3,8,6,2,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,8,1,7,6,3,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,4,1,7,6,3,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,5,7,1,4,8,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,8,4,6,1,3,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,6,3,8,2,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,6,2,1,7,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,2,4,7,3,1,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,5,4,7,3,2,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,5,4,7,3,1,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,6,5,2,1,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,6,5,2,1,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,7,6,3,1,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,5,2,1,4,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,2,5,1,3,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,6,8,1,4,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,8,1,5,7,3,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,3,7,8,1,5,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,6,4,7,8,1,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,7,6,4,1,8,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,4,1,7,6,8,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,2,1,7,5,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,2,1,8,6,3,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,1,6,2,7,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,3,1,7,8,4,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,2,1,6,7,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,8,3,7,4,6,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,2,8,3,6,1,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,3,8,4,7,2,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,8,3,7,4,1,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,3,7,1,2,8,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,3,8,4,2,6,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,3,5,2,8,4,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,1,7,8,4,5,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,5,2,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,3,1,6,8,4,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,1,2,3,5,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,6,4,1,2,5,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,1,3,5,2,8,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,6,7,5,8,1,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,5,1,6,2,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,1,3,6,8,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,8,4,1,5,6,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,5,4,2,1,6,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,7,2,3,6,8,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,1,6,3,5,8,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,2,5,3,6,8,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,1,2,4,6,8,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,8,1,2,4,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,3,8,7,2,6,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,8,7,5,3,6,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,2,7,3,6,5,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,2,4,3,7,5,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,5,8,2,4,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,1,8,7,3,4,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,7,1,8,3,5,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,5,4,8,3,6,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,5,1,2,6,4,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,2,5,6,1,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,5,4,1,7,8,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,3,6,7,5,8,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,5,4,2,7,3,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,2,8,4,6,3,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,2,4,3,1,5,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,3,8,1,5,4,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,4,1,6,3,8,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,3,1,7,5,2,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,1,4,6,8,5,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,8,3,5,4,6,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,2,4,8,5,6,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,1,3,4,5,8,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,7,1,4,6,5,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,8,7,5,2,1,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,2,1,5,8,4,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,8,1,5,4,3,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,5,2,4,1,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,3,2,8,4,5,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,3,1,4,5,6,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,7,4,1,8,2,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,4,1,3,6,2,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,2,5,7,3,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,4,1,3,2,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,8,6,4,7,1,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,5,3,6,7,1,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,7,8,4,6,1,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,3,7,8,4,2,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,8,3,7,1,4,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,3,2,7,1,4,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,3,8,2,5,6,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,3,8,1,5,6,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,8,4,2,5,6,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,8,4,1,5,6,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,8,1,2,5,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,1,7,4,3,6,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,8,6,5,7,2,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,2,8,5,3,4,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,7,8,6,3,4,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,3,2,6,1,4,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,6,8,1,5,3,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,1,8,4,5,3,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,7,8,5,4,1,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,7,8,5,1,4,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,6,5,3,2,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,6,4,7,5,1,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,7,4,1,8,5,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,8,7,5,3,2,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,3,1,7,4,2,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,4,2,5,3,1,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,7,4,8,3,2,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,2,8,3,6,1,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,4,8,1,2,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,8,4,1,7,3,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,8,6,7,1,3,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,7,4,1,3,5,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,2,3,5,4,1,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,1,4,8,7,2,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,7,4,1,8,2,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,1,8,4,6,2,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,4,8,5,3,2,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,3,2,8,5,6,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,4,6,5,2,8,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,7,4,2,1,6,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,5,8,4,1,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,4,2,3,6,1,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,3,1,4,8,2,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,1,5,3,8,4,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,3,8,1,5,2,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,7,3,1,6,8,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,7,2,8,6,1,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,2,1,5,8,6,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,7,1,4,8,5,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,5,3,1,8,6,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,6,4,8,1,5,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,6,8,4,1,5,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,8,3,2,1,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,8,2,1,5,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,8,4,7,5,2,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,1,4,7,5,2,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,7,2,1,6,4,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,8,6,5,1,2,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,6,4,3,2,1,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,3,6,4,2,1,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,4,1,2,3,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,8,7,6,4,3,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,7,6,1,5,4,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,7,4,3,1,6,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,6,8,3,1,5,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,6,2,4,5,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,7,1,4,5,8,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,3,2,4,1,6,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,3,8,6,2,5,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,8,6,4,7,3,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,8,5,6,7,3,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,6,3,7,1,4,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,7,5,2,3,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,8,2,5,1,3,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,7,5,1,6,4,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,7,4,3,8,2,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,2,3,1,5,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,4,6,5,2,1,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,3,8,4,1,6,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,7,4,2,1,5,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,1,2,5,3,6,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,2,4,3,5,6,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,7,4,6,3,2,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,7,6,5,2,4,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,5,4,7,3,2,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,4,7,6,1,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,7,4,6,1,8,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,2,7,6,4,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,7,2,6,1,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,7,2,1,6,8,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,7,1,6,2,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,7,1,4,6,8,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,7,1,4,2,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,7,2,1,4,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,2,7,4,1,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,4,7,1,6,8,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,4,7,1,2,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,4,2,7,1,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,7,4,1,2,8,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,5,7,4,1,8,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,7,5,1,8,6,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,6,4,1,8,5,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,8,7,6,1,5,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,5,8,1,7,3,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,2,6,5,1,3,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,2,8,5,1,3,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,7,3,2,6,1,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,4,2,5,1,6,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,1,5,6,7,8,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,5,1,2,4,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,1,2,7,4,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,1,5,2,4,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,1,3,2,4,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,7,5,2,4,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,5,3,2,4,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,5,1,7,6,4,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,5,4,8,1,3,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,1,4,8,7,3,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,2,4,8,1,6,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,1,3,5,4,8,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,3,7,1,2,8,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,4,5,1,8,3,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,2,4,7,5,1,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,8,2,3,5,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,7,3,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,5,3,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,8,3,4,1,5,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,2,7,3,1,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,3,8,2,4,5,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,6,5,7,8,3,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,8,3,6,4,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,8,1,7,6,2,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,6,8,5,1,3,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,4,8,2,6,3,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,1,4,8,7,5,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,3,1,4,7,5,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,1,6,3,5,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,5,2,7,4,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,4,2,6,3,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,6,5,3,1,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,1,6,2,3,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,5,4,7,2,6,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,7,8,1,6,5,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,5,4,2,1,8,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,3,2,1,5,6,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,8,2,1,6,5,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,5,4,6,1,3,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,8,4,7,3,6,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,8,4,7,1,6,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,1,3,5,8,2,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,1,8,5,4,2,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,7,4,8,1,6,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,8,1,6,3,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,7,3,8,5,6,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,2,6,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,3,5,6,2,8,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,8,4,1,3,5,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,6,1,5,7,4,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,7,6,1,8,4,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,6,8,1,7,4,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,3,7,2,1,6,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,6,4,7,1,8,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,2,7,3,6,8,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,2,8,3,6,4,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,8,2,3,5,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,4,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,8,7,1,5,3,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,3,2,6,8,1,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,2,3,5,1,4,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,4,5,7,3,1,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,3,8,7,5,4,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,2,4,1,5,3,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,1,6,5,3,2,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,6,1,5,4,2,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,1,7,5,4,2,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,3,8,7,5,4,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,2,8,7,6,4,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,8,7,1,6,5,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,8,5,7,6,3,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,7,1,4,5,6,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,7,3,4,6,2,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,1,7,2,6,5,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,8,5,7,6,3,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,7,3,1,5,6,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,1,8,7,5,4,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,7,3,5,2,6,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,5,2,7,6,4,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,7,2,4,6,5,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,1,3,7,6,2,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,4,8,7,6,3,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,6,3,2,1,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,1,2,5,4,8,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,1,2,5,7,4,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,2,1,7,3,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,2,8,5,3,6,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,8,2,6,1,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,6,1,5,2,8,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,6,8,5,1,2,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,2,6,3,5,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,8,4,2,5,3,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,5,6,4,2,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,7,5,8,3,1,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,2,3,1,6,8,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,8,2,5,7,1,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,3,6,1,7,2,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,8,1,3,4,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,4,8,1,7,3,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,7,8,5,4,6,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,7,6,5,1,8,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,8,4,6,3,1,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,6,4,8,1,5,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,7,6,3,5,8,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,7,4,2,3,5,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,3,7,1,4,5,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,5,1,7,6,8,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,7,6,5,1,2,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,7,2,5,4,8,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,7,3,2,6,8,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,5,4,6,2,8,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,3,2,1,7,4,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,1,7,5,3,2,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,3,7,2,8,6,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,8,4,1,7,2,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,8,1,6,4,3,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,2,8,6,3,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,7,8,5,3,1,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,1,6,4,3,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,2,7,5,8,3,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,1,2,8,4,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,6,3,1,5,8,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,3,8,7,5,1,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,8,2,7,6,1,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,1,5,3,7,4,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,8,1,2,6,3,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,1,2,7,6,4,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,6,1,5,2,3,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,6,1,4,2,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,8,2,4,6,3,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,8,4,1,5,3,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,7,3,2,5,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,8,3,5,4,2,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,5,2,4,6,1,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,7,2,1,3,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,7,3,4,1,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,5,8,6,4,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,7,3,8,6,5,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,2,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,5,4,7,8,6,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,8,1,4,6,5,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,4,7,5,3,8,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,4,7,1,3,8,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,4,7,5,3,8,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,1,4,3,5,6,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,8,4,7,3,2,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,3,6,1,2,8,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,1,7,4,3,8,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,8,2,5,3,4,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,8,7,5,3,1,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,1,7,5,2,8,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,8,2,3,6,1,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,7,4,1,5,6,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,2,1,5,7,4,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,6,7,5,2,1,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,4,5,8,3,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,8,5,3,4,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,5,6,8,3,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,6,8,5,2,3,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,6,7,8,1,3,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,6,8,1,2,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,8,6,1,2,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,6,8,7,1,3,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,3,8,1,7,2,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,8,4,1,7,2,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,4,8,1,3,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,4,8,5,1,3,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,2,4,1,3,8,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,8,3,5,4,2,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,2,4,6,1,5,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,6,3,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,7,4,6,2,8,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,2,6,1,3,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,5,1,6,4,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,7,3,4,6,8,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,4,1,5,3,2,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,5,4,1,3,2,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,8,7,4,6,2,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,8,7,4,6,1,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,8,7,4,6,3,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,7,5,1,6,2,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,7,1,3,6,4,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,7,3,5,2,1,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,7,6,5,2,1,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,2,8,4,6,1,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,3,5,2,8,4,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,8,7,5,4,2,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,3,1,4,8,2,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,6,3,8,5,4,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,4,7,3,8,6,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,7,2,5,1,6,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,8,1,4,3,6,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,3,5,6,7,1,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,2,4,7,1,8,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,5,4,6,1,8,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,7,4,6,1,8,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,7,4,1,3,8,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,7,4,1,3,8,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,6,3,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,6,3,5,7,8,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,4,2,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,6,1,5,7,8,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,6,2,5,7,8,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,1,2,5,7,8,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,4,1,5,7,8,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,1,6,5,7,8,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,7,5,3,1,8,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,3,8,6,2,1,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,5,2,8,6,1,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,6,1,5,8,4,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,8,4,1,3,6,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,6,1,3,2,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,5,7,2,6,1,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,2,6,7,3,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,7,5,3,6,2,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,3,8,2,1,6,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,1,5,6,8,3,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,2,6,5,8,3,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,6,2,1,8,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,4,5,2,8,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,4,1,6,3,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,1,5,6,7,3,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,7,4,8,2,1,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,8,1,5,7,2,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,1,2,5,7,4,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,5,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,2,3,8,6,1,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,1,4,7,2,8,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,8,5,6,3,4,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,5,7,6,8,1,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,6,8,5,4,2,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,8,7,2,6,5,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,5,2,1,6,4,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,7,4,2,8,5,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,3,2,8,4,5,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,4,7,1,5,6,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,6,7,5,1,3,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,4,6,5,2,1,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,2,7,5,1,6,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,7,6,5,1,2,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,3,7,6,4,1,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,1,6,4,8,5,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,7,2,4,6,5,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,8,7,5,4,2,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,3,8,4,5,2,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,3,8,4,1,2,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,5,3,1,6,4,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,2,7,5,4,3,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,1,7,5,4,2,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,3,1,2,8,5,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,5,7,1,4,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,4,1,5,7,3,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,5,4,8,3,2,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,6,5,1,2,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,6,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,3,2,8,1,5,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,7,3,1,6,2,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,3,1,6,2,8,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,3,2,1,8,6,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,8,4,3,2,1,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,7,4,3,2,1,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,5,1,8,3,6,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,1,5,8,4,6,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,1,4,3,8,5,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,8,6,1,3,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,3,5,6,7,8,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,8,5,2,6,1,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,8,5,3,1,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,3,1,2,4,8,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,2,4,8,5,3,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,1,7,5,3,2,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,8,3,6,4,5,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,4,2,6,8,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,6,8,4,2,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,2,6,4,3,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,6,3,4,1,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,6,1,3,4,8,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,3,7,2,5,8,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,7,5,1,3,8,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,3,7,2,4,5,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,7,3,8,5,1,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,8,4,7,1,3,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,5,4,1,8,3,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,5,1,4,8,3,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,7,6,5,3,1,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,3,7,4,1,6,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,8,7,3,1,5,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,5,4,1,7,2,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,1,5,7,6,3,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,5,2,8,6,1,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,6,4,7,5,2,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,7,6,4,8,1,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,3,5,6,2,8,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,5,8,4,6,3,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,8,3,5,2,4,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,3,5,8,7,4,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,8,6,5,3,2,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,6,3,5,1,2,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,2,4,6,7,8,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,4,6,3,2,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,7,2,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,3,2,6,8,5,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,4,2,5,8,3,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,6,8,5,7,1,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,6,5,8,1,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,6,8,5,1,3,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,4,7,5,8,2,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,3,1,7,4,8,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,2,6,5,1,4,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,3,1,7,5,4,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,3,7,6,2,5,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,4,5,7,3,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,1,8,3,2,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,4,6,3,2,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,1,2,4,8,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,8,5,1,4,3,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,5,4,2,1,6,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,1,6,5,2,3,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,1,2,7,6,3,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,2,1,7,6,4,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,3,7,8,2,6,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,7,8,4,6,1,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,5,6,2,1,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,1,6,5,3,8,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,2,7,8,6,3,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,1,3,5,8,2,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,6,4,8,7,5,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,6,1,2,5,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,3,8,4,5,6,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,2,4,7,1,6,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,4,8,7,1,6,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,3,5,8,4,2,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,2,4,6,7,8,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,5,8,6,7,1,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,2,4,1,8,6,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,3,8,4,1,6,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,8,3,5,7,1,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,3,1,4,2,5,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,6,5,1,7,8,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,7,8,6,4,5,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,7,5,6,8,4,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,6,3,8,7,1,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,7,4,3,1,8,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,1,7,5,2,6,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,8,4,1,3,2,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,2,7,5,1,3,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,4,8,3,6,5,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,8,2,5,4,6,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,3,1,6,4,5,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,5,2,4,6,1,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,3,2,6,1,5,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,1,7,6,4,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,5,3,1,4,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,3,6,8,5,4,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,7,4,8,2,5,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,1,5,3,8,6,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,8,7,3,6,5,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,7,3,5,8,6,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,7,3,5,2,1,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,3,5,2,4,6,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,4,2,7,6,3,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,2,6,5,7,1,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,6,7,5,2,1,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,8,7,5,4,1,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,7,6,4,3,1,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,4,5,6,2,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,4,2,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,5,7,2,6,3,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,4,6,2,1,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,3,5,6,1,4,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,3,1,4,5,6,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,3,8,1,4,2,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,3,1,6,4,2,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,7,4,2,5,8,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,4,1,5,2,3,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,8,1,6,4,5,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,4,1,2,3,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,2,5,3,4,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,2,3,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,8,4,2,3,5,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,2,1,8,4,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,1,6,5,7,3,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,2,7,8,6,1,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,6,8,5,2,4,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,1,2,5,3,8,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,2,4,8,1,5,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,2,1,5,3,8,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,1,2,8,3,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,5,1,7,6,2,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,7,1,6,3,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,6,2,3,4,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,4,2,5,7,8,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,5,3,6,8,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,8,1,5,7,3,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,1,8,6,4,5,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,8,1,5,2,6,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,6,7,1,8,5,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,1,8,5,2,4,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,2,1,5,4,6,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,6,1,4,5,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,7,2,5,4,1,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,3,8,6,1,5,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,2,5,1,4,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,8,5,7,1,3,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,8,5,1,3,4,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,7,8,6,1,4,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,2,5,1,3,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,6,2,4,1,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,8,4,6,2,3,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,8,4,2,5,3,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,3,5,7,4,1,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,8,6,2,3,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,7,2,6,4,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,1,7,4,6,8,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,6,1,7,4,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,8,3,1,4,5,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,2,7,4,6,8,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,8,6,3,7,1,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,4,7,5,1,2,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,7,3,5,4,2,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,5,6,7,1,4,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,8,6,5,7,3,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,8,7,4,6,3,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,8,7,5,1,3,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,5,2,1,8,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,6,8,1,4,3,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,3,7,1,8,6,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,5,2,7,1,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,8,4,6,3,5,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,8,2,5,4,1,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,7,2,5,4,1,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,8,3,6,4,1,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,8,3,7,5,1,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,7,3,8,4,1,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,5,3,8,4,1,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,5,3,7,4,1,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,5,3,2,6,8,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,2,3,1,5,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,3,8,4,5,6,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,4,1,3,6,8,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,4,6,7,8,1,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,5,2,6,4,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,7,6,1,8,5,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,4,8,6,3,5,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,2,4,3,5,8,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,8,2,1,5,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,7,2,5,3,8,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,5,2,1,6,8,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,1,2,6,3,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,2,1,3,6,8,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,8,6,5,1,3,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,6,8,5,1,4,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,6,8,5,2,4,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,2,7,5,4,3,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,3,2,1,5,4,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,1,4,6,3,2,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,3,6,1,5,2,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,1,4,3,7,2,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,4,2,1,3,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,3,6,1,8,5,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,2,4,1,5,8,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,4,6,3,7,1,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,5,7,4,3,8,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,7,6,8,5,1,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,8,5,1,3,6,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,6,8,3,7,1,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,8,1,4,2,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,8,1,2,6,5,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,4,2,3,5,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,7,1,5,4,6,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,1,6,3,2,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,3,1,7,2,8,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,4,2,8,6,1,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,8,4,3,1,5,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,4,6,5,1,3,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,7,3,4,5,1,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,5,2,4,6,3,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,1,3,4,5,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,8,2,1,4,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,7,5,3,8,6,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,8,6,5,7,2,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,6,5,1,8,3,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,8,5,6,3,1,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,5,3,8,7,1,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,5,3,8,4,6,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,1,4,2,3,5,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,1,6,5,2,4,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,4,2,3,6,8,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,3,2,4,5,1,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,8,5,2,1,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,3,7,8,2,1,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,4,8,1,2,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,3,5,8,7,4,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,1,8,7,6,3,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,8,7,5,1,6,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,5,6,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,7,2,4,6,1,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,5,6,8,7,3,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,4,1,8,3,6,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,8,2,5,3,4,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,2,4,3,8,1,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,2,3,1,8,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,6,4,8,2,1,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,8,1,4,6,3,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,6,7,8,1,5,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,5,3,2,6,1,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,5,3,2,4,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,7,6,4,1,5,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,7,8,4,1,6,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,7,8,3,5,4,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,2,8,4,3,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,1,8,4,3,5,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,1,3,7,5,8,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,1,8,5,2,6,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,5,3,1,7,4,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,4,8,6,1,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,1,8,6,2,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,8,3,5,7,2,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,4,8,5,3,2,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,2,7,5,4,1,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,3,6,8,5,4,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,2,8,1,6,4,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,6,5,8,2,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,4,1,6,7,8,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,2,4,7,8,1,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,3,8,7,1,6,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,4,8,6,2,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,5,8,6,2,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,3,2,8,5,4,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,8,5,6,7,1,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,2,4,7,8,6,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,5,2,7,3,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,7,2,5,3,4,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,6,7,5,2,3,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,1,2,6,4,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,7,2,6,3,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,6,1,5,8,4,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,7,5,2,1,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,1,5,2,7,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,1,8,5,4,3,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,7,4,2,5,8,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,2,8,6,4,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,1,4,8,5,6,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,6,5,8,4,3,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,2,3,4,6,1,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,3,5,2,4,6,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,3,6,8,2,5,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,7,4,2,8,5,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,2,1,7,5,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,4,1,2,3,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,7,8,5,1,2,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,6,5,1,8,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,1,2,6,4,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,4,2,6,1,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,6,8,7,4,1,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,1,3,5,7,4,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,8,2,5,1,4,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,7,1,5,3,8,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,8,2,6,4,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,1,4,8,2,3,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,1,8,2,6,3,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,6,2,3,1,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,6,7,8,4,5,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,4,5,1,6,3,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,8,4,3,7,2,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,2,7,5,3,6,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,3,2,1,8,4,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,7,3,4,6,1,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,7,3,8,6,2,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,3,2,4,7,8,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,1,3,4,7,8,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,5,8,7,3,1,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,4,7,3,6,2,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,5,8,7,1,4,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,1,3,6,4,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,3,7,6,4,2,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,4,6,1,7,5,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,7,6,3,1,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,8,4,1,5,2,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,6,5,7,1,3,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,1,8,6,3,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,7,2,1,6,5,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,3,5,7,8,1,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,8,1,7,4,3,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,1,2,3,5,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,7,5,2,6,4,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,8,2,4,6,1,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,4,6,1,2,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,5,1,6,8,3,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,1,7,4,8,3,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,8,6,3,7,5,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,5,4,1,8,2,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,6,5,2,8,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,3,1,4,7,5,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,3,1,8,4,5,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,1,3,5,4,6,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,3,5,7,4,2,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,6,4,8,5,2,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,1,6,7,3,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,1,6,5,8,2,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,1,6,4,7,8,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,1,4,2,5,8,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,5,7,8,4,1,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,4,8,3,2,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,7,4,6,1,2,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,4,8,3,1,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,1,3,6,2,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,2,4,8,3,6,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,6,8,4,5,3,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,6,8,5,1,4,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,3,1,6,2,5,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,8,2,5,4,3,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,6,8,3,4,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,6,8,5,4,3,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,8,1,2,3,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,1,2,8,5,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,8,4,2,1,3,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,6,2,5,7,8,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,3,7,2,8,5,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,1,4,2,7,8,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,3,7,6,1,8,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,7,6,5,2,8,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,1,5,6,3,8,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,1,8,6,2,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,1,7,5,3,6,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,8,5,3,6,2,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,5,7,1,6,8,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,6,8,5,7,4,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,1,8,5,7,4,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,8,1,7,5,3,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,2,5,6,3,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,1,6,8,3,5,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,2,7,5,3,1,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,4,5,1,6,3,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,5,8,4,7,1,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,8,1,3,4,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,1,2,3,5,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,2,6,5,3,4,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,2,6,3,5,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,2,8,5,1,6,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,8,3,1,6,4,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,5,3,8,4,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,5,1,4,3,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,4,5,6,1,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,6,5,8,4,1,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,6,5,8,7,1,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,7,2,8,6,1,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,7,6,8,3,1,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,7,5,8,4,1,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,6,4,1,5,3,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,5,2,6,4,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,5,3,7,8,6,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,5,8,6,4,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,3,8,6,4,2,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,3,8,6,4,2,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,5,8,2,6,4,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,3,1,4,8,6,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,3,8,4,5,2,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,1,7,6,3,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,3,6,7,8,4,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,4,7,5,8,6,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,6,3,7,5,1,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,7,2,5,3,1,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,2,7,5,4,1,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,3,2,8,1,5,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,7,4,3,8,6,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,3,7,2,4,1,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,8,6,4,1,3,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,7,5,6,1,8,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,8,1,6,3,5,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,5,2,4,1,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,4,2,5,8,6,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,3,2,1,7,5,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,1,4,3,7,8,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,1,3,8,6,2,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,3,8,2,5,4,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,2,1,8,3,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,8,1,4,5,3,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,3,5,6,7,2,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,2,5,3,4,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,4,6,5,1,8,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,6,3,5,1,4,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,2,5,7,6,8,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,1,4,2,3,6,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,7,5,2,4,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,7,2,5,8,6,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,2,5,3,1,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,1,7,6,2,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,6,3,2,7,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,4,1,3,2,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,4,8,7,6,2,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,4,7,6,3,1,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,5,1,4,6,3,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,3,6,4,7,8,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,5,3,6,7,8,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,7,6,5,8,2,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,3,6,7,8,1,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,2,4,3,7,8,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,5,4,2,3,6,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,2,4,6,3,8,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,2,6,5,3,8,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,4,5,2,3,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,6,1,2,4,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,1,2,4,6,5,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,1,2,4,5,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,1,2,4,7,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,8,5,6,2,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,6,7,5,1,2,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,5,3,1,4,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,2,4,6,3,1,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,7,4,6,3,1,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,4,1,2,5,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,1,3,2,5,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,6,4,7,2,3,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,1,4,3,2,8,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,1,5,7,4,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,2,7,6,1,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,6,5,7,1,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,2,6,3,7,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,5,2,7,3,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,5,2,1,7,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,2,4,6,3,1,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,1,4,6,2,3,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,6,2,4,5,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,8,2,4,3,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,8,1,5,3,4,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,5,6,8,1,4,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,3,6,2,1,8,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,1,5,3,4,8,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,5,2,4,6,8,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,3,1,6,2,5,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,8,4,2,1,6,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,8,4,3,2,6,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,3,7,4,5,8,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,4,1,3,6,8,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,7,2,5,1,8,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,6,4,7,2,1,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,5,7,4,6,2,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,2,7,5,3,1,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,1,4,6,2,8,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,3,1,4,7,8,2,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,3,5,6,8,1,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,4,5,8,6,2,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,4,1,6,7,3,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,7,5,3,4,1,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,3,6,4,1,8,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,6,4,2,8,1,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,5,1,4,6,2,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,2,4,7,8,6,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,4,5,1,6,8,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,7,1,2,6,5,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,7,4,2,5,1,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,7,1,3,5,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,1,6,4,7,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,1,4,8,3,2,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,6,3,7,8,4,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,4,1,2,7,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,5,1,2,7,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,4,1,3,7,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,8,1,4,3,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,4,1,6,2,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,2,4,1,7,3,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,2,3,4,1,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,2,3,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,2,1,4,6,8,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,2,3,1,6,4,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,3,2,6,7,8,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,7,3,4,5,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,1,3,6,7,8,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,2,3,6,4,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,7,4,2,8,6,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,3,5,2,7,8,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,5,7,4,6,8,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,5,8,6,1,4,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,1,4,6,7,8,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,7,3,1,4,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,8,3,4,6,2,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,3,5,8,1,6,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,5,3,1,8,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,4,7,6,2,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,4,5,2,7,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,2,3,6,4,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,8,4,1,3,6,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,5,6,8,3,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,8,3,4,1,6,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,4,8,5,7,3,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,6,4,2,7,1,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,8,4,1,7,5,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,5,8,1,3,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,3,5,6,1,4,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,8,5,6,1,4,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,5,8,1,4,6,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,8,4,2,1,6,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,4,5,8,1,6,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,8,4,2,7,1,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,1,6,5,2,8,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,2,8,5,1,6,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,4,1,6,3,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,3,2,4,8,6,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,1,8,5,3,2,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,6,1,2,5,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,6,4,3,8,1,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,3,5,1,4,6,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,3,5,2,1,4,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,2,7,4,6,3,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,8,3,1,2,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,4,1,8,3,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,3,1,2,4,6,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,7,3,5,8,2,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,3,7,8,1,5,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,8,1,4,3,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,3,1,2,5,4,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,6,4,7,1,2,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,1,4,2,7,3,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,6,4,1,5,3,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,7,5,3,6,8,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,1,2,6,3,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,2,6,5,7,8,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,5,4,6,7,8,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,8,7,5,2,6,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,3,6,8,5,2,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,6,1,4,8,3,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,3,7,8,5,6,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,6,5,7,8,1,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,1,5,7,6,3,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,6,3,5,2,4,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,2,1,5,3,4,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,3,8,6,7,4,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,6,5,1,8,4,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,5,8,1,6,2,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,8,4,6,7,3,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,4,6,5,7,2,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,8,6,3,1,5,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,8,3,6,1,4,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,4,6,3,8,5,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,3,7,6,1,5,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,2,5,8,6,4,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,5,3,8,1,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,6,5,1,4,3,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,5,7,2,6,8,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,5,7,4,8,6,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,5,6,7,3,8,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,1,4,3,5,2,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,8,4,3,5,2,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,6,4,8,2,3,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,4,2,5,3,6,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,4,1,5,3,6,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,1,3,5,2,6,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,8,3,5,2,6,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,1,2,5,4,6,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,8,2,5,4,6,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,6,2,4,5,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,1,6,2,3,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,5,4,8,1,2,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,5,3,6,1,4,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,2,4,7,8,3,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,8,1,2,3,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,8,5,1,4,6,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,3,7,8,1,2,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,7,8,5,4,6,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,5,1,8,7,3,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,6,4,8,1,3,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,4,1,2,6,8,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,4,5,1,7,3,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,3,7,1,5,6,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,3,6,1,2,5,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,7,1,3,4,6,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,4,7,3,1,6,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,7,6,3,1,4,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,8,4,7,1,6,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,5,6,4,2,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,8,4,6,1,5,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,5,4,6,1,2,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,5,8,4,6,2,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,6,3,4,1,5,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,1,8,5,7,2,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,1,5,3,4,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,5,2,4,1,3,8,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,1,5,7,2,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,3,1,4,5,8,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,3,8,7,5,2,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,6,1,3,8,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,5,6,1,3,8,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,5,4,7,1,8,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,3,2,6,8,4,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,6,3,1,8,4,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,8,5,3,2,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,5,6,1,2,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,5,1,2,4,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,5,3,7,4,8,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,5,4,8,2,6,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,7,4,8,5,1,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,8,6,4,3,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,7,4,6,8,1,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,6,8,5,2,3,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,1,3,2,5,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,3,2,8,7,1,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,6,7,3,4,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,2,8,4,6,5,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,7,2,5,8,4,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,3,7,8,1,6,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,2,4,7,8,3,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,2,8,3,4,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,4,8,1,6,5,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,4,8,6,7,3,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,8,6,2,1,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,8,2,4,6,5,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,4,7,5,2,6,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,4,8,1,6,3,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,5,8,1,6,3,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,6,8,2,5,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,5,1,8,6,3,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,8,3,4,5,1,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,1,8,7,6,3,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,5,8,1,4,2,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,1,4,2,3,8,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,1,2,5,3,4,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,2,4,1,7,8,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,3,2,7,5,4,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,6,3,5,2,1,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,1,6,8,2,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,8,4,2,3,6,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,8,1,5,7,4,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,3,1,6,7,4,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,8,3,5,1,6,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,6,5,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,4,7,2,1,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,1,2,4,6,3,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,7,3,6,4,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,8,7,3,4,5,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,4,8,3,1,6,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,5,3,7,6,2,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,5,1,4,2,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,5,4,6,1,3,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,1,8,4,3,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,2,8,1,7,5,4,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,5,6,2,3,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,4,5,6,8,3,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,3,5,2,1,6,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,1,3,2,6,4,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,3,8,6,1,2,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,1,2,8,6,5,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,4,6,1,8,3,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,1,8,3,4,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,5,3,8,1,7,6] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,2,8,4,1,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,2,4,8,5,1,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,3,2,8,5,1,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,4,1,5,7,2,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,6,7,4,1,8,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,2,6,3,1,7,4] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,4,6,2,5,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,3,7,2,8,6,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,7,2,5,3,1,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,4,5,1,2,6,8,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,3,2,1,7,5,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,1,7,4,6,3,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,3,7,6,1,2,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,1,2,7,6,4,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,1,6,4,3,8,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,8,7,3,6,2,1] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,1,3,7,6,4,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,5,6,8,3,4,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,6,4,2,1,8,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,3,1,8,5,2,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,6,2,3,1,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,3,1,8,5,2,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,1,3,6,8,5,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,4,6,3,2,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,8,1,5,4,3,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,1,5,2,6,8,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,4,5,2,6,8,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,5,3,6,1,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,3,1,7,8,4,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,8,2,5,4,1,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,5,7,8,6,3,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,7,1,5,4,8,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,4,7,5,8,2,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,1,8,5,3,6,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,3,5,2,7,1,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,2,1,6,4,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,7,1,4,8,5,3,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,6,1,5,2,4,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,1,4,6,7,3,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,7,8,5,2,6,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,1,4,7,8,6,2,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,2,1,3,6,4,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,6,1,8,5,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,2,6,4,3,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,1,3,7,4,6,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,8,2,3,4,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,4,1,3,7,5,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,6,7,4,8,3,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,6,7,5,4,2,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,5,1,4,6,2,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,6,3,1,5,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,3,8,6,4,1,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,5,1,8,6,4,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,3,1,4,5,8,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,1,2,3,6,5,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,7,5,1,3,2,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,8,5,4,7,1,2,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,1,5,8,6,4,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,4,1,6,8,5,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,4,6,2,1,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,5,3,8,4,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,3,2,8,4,1,6] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,1,7,3,6,5,2] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,8,5,2,6,1,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,4,1,2,6,8,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,5,2,4,6,1,3,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,3,8,6,2,4,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,5,2,6,4,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,4,7,6,2,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,5,1,6,4,8,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,7,4,2,1,6,5,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,6,1,7,2,4,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,1,5,2,8,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,5,4,2,7,8,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,6,2,5,8,1,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,1,6,4,7,3,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,6,4,2,5,3,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,7,5,6,8,1,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,2,1,5,3,7,8,4] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,4,7,6,8,1,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,5,6,4,1,7,3] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,8,2,5,1,6,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,1,7,8,6,2,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,8,7,4,3,5,2,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,2,4,8,3,5,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,1,3,5,7,4,2] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,4,1,6,8,3,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,3,1,4,6,2,8,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,4,1,3,6,8,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,7,1,5,2,6,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,5,4,7,3,8,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,7,3,1,4,5,6] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,7,4,1,3,5,2] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,5,8,3,6,1,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,1,3,6,2,4,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,7,6,3,5,2,8,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,1,4,7,5,2,6] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,3,1,6,4,8,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,3,8,7,1,6,2,5] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,3,5,1,4,8,2] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,4,1,7,2,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,6,3,4,2,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,8,3,6,7,2,4,1] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,6,2,5,7,4,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,1,5,3,6,8,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,4,2,5,1,8,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,2,3,5,4,6,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,4,1,3,2,6,5,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,7,3,1,8,5,6,4] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,3,5,8,2,6,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,7,1,6,4,2,3,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,7,6,2,1,4,5,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,6,7,5,2,3,1,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,8,4,7,5,3,1,6] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,8,6,2,5,7,1,3] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,4,2,6,8,5,7,1] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,3,8,1,4,6,5,7] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,6,2,4,7,5,8,1] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,8,4,6,2,5,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,2,7,8,6,3,1,5] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,4,5,7,1,6,8,3] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,1,4,8,2,3,7,5] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,6,2,3,5,8,4,1] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,2,6,5,7,3,4] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,1,4,7,5,8,3] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[3,1,7,5,2,6,8,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[5,2,1,3,8,4,6,7] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[4,1,3,8,6,2,5,7] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[2,6,3,1,4,7,8,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,6,4,5,1,3,7,2] => {{1,2,3,4,5,6,8},{7}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,3,8,2,4,6,5] => {{1,2,4,5,6,7,8},{3}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,5,2,4,1,8,3,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[6,4,1,8,5,2,3,7] => {{1,2,3,4,6,7,8},{5}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,6,8,3,4,5,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,1,5,2,4,3,6,8] => {{1,2,3,4,5,6,7},{8}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,1,2,4,6,3,5,7] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,3,1,4,6,7,2,5] => {{1,2,3,5,6,7,8},{4}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,8,5,1,2,6,3,4] => {{1,2,3,4,5,7,8},{6}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[8,2,6,5,1,7,4,3] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
[7,2,5,6,4,8,3,1] => {{1,3,4,5,6,7,8},{2}} => [7,1] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => 2
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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
to composition
Description
The integer composition of block sizes of a set partition.
For a set partition of $\{1,2,\dots,n\}$, this is the integer composition of $n$ obtained by sorting the blocks by their minimal element and then taking the block sizes.
Map
to cycle type
Description
Let $\pi=c_1\dots c_r$ a permutation of size $n$ decomposed in its cyclic parts. The associated set partition of $[n]$ then is $S=S_1\cup\dots\cup S_r$ such that $S_i$ is the set of integers in the cycle $c_i$.
A permutation is cyclic [1] if and only if its cycle type is a hook partition [2].
Map
to threshold graph
Description
The threshold graph corresponding to the composition.
A threshold graph is a graph that can be obtained from the empty graph by adding successively isolated and dominating vertices.
A threshold graph is uniquely determined by its degree sequence.
The Laplacian spectrum of a threshold graph is integral. Interpreting it as an integer partition, it is the conjugate of the partition given by its degree sequence.